** blas/blas1-c-test.f
 
blas1_c_test():
  FORTRAN77 version
  Test blas1_c().
 
TEST01
  CABS1 returns the L1 norm 
  of a single precision complex number.
 
      Real      Imaginary              
      Part      Part           CABS1(Z)
 
      2.2493   -0.6333         2.8826
     -4.2160   -1.7214         5.9374
      2.9481    1.3005         4.2486
      1.9557    1.6170         3.5727
     -0.6973   -0.7807         1.4780
     -1.1803    0.3873         1.5676
      0.0930   -3.1661         3.2591
      4.4642    0.0516         4.5158
     -2.8023    3.8190         6.6213
      1.5318    0.1314         1.6632
 
TEST02
  CABS2 returns the L2 norm 
  of a single precision complex number.
 
      Real      Imaginary              
      Part      Part           CABS2(Z)
 
      2.2493   -0.6333         2.3368
     -4.2160   -1.7214         4.5539
      2.9481    1.3005         3.2222
      1.9557    1.6170         2.5376
     -0.6973   -0.7807         1.0468
     -1.1803    0.3873         1.2422
      0.0930   -3.1661         3.1674
      4.4642    0.0516         4.4645
     -2.8023    3.8190         4.7368
      1.5318    0.1314         1.5374
 
TEST03
  CAXPY adds a multiple of one
  single precision complex vector to another.
 
  X = 
 
       1     2.0    -1.0
       2    -4.0    -2.0
       3     3.0     1.0
       4     2.0     2.0
       5    -1.0    -1.0
 
  Y = 
 
       1    -1.0     0.0
       2     0.0    -3.0
       3     4.0     0.0
       4    -3.0     4.0
       5    -2.0     0.0
 
  The scalar multiplier is:   5.000000e-01 -1.000000e+00
 
  A * X + Y = 
 
       1 -1.000000 -2.500000
       2 -4.000000  0.000000
       3  6.500000 -2.500000
       4  0.000000  3.000000
       5 -3.500000  0.500000
 
TEST04
  CCOPY copies one complex vector 
  into another.
 
  X = 
 
       1  1.000000e+01  1.000000e+00
       2  2.000000e+01  2.000000e+00
       3  3.000000e+01  3.000000e+00
       4  4.000000e+01  4.000000e+00
       5  5.000000e+01  5.000000e+00
       6  6.000000e+01  6.000000e+00
       7  7.000000e+01  7.000000e+00
       8  8.000000e+01  8.000000e+00
       9  9.000000e+01  9.000000e+00
      10  1.000000e+02  1.000000e+01
 
  Y = 
 
       1  2.000000e+01  2.000000e+00
       2  4.000000e+01  4.000000e+00
       3  6.000000e+01  6.000000e+00
       4  8.000000e+01  8.000000e+00
       5  1.000000e+02  1.000000e+01
       6  1.200000e+02  1.200000e+01
       7  1.400000e+02  1.400000e+01
       8  1.600000e+02  1.600000e+01
       9  1.800000e+02  1.800000e+01
      10  2.000000e+02  2.000000e+01
 
  A = 
 
     10.0    1.0   10.0    2.0   10.0    3.0   10.0    4.0   10.0    5.0
     20.0    1.0   20.0    2.0   20.0    3.0   20.0    4.0   20.0    5.0
     30.0    1.0   30.0    2.0   30.0    3.0   30.0    4.0   30.0    5.0
     40.0    1.0   40.0    2.0   40.0    3.0   40.0    4.0   40.0    5.0
     50.0    1.0   50.0    2.0   50.0    3.0   50.0    4.0   50.0    5.0
 
  CCOPY ( 5, X, 1, Y, 1 )
 
       1  1.000000e+01  1.000000e+00
       2  2.000000e+01  2.000000e+00
       3  3.000000e+01  3.000000e+00
       4  4.000000e+01  4.000000e+00
       5  5.000000e+01  5.000000e+00
       6  1.200000e+02  1.200000e+01
       7  1.400000e+02  1.400000e+01
       8  1.600000e+02  1.600000e+01
       9  1.800000e+02  1.800000e+01
      10  2.000000e+02  2.000000e+01
 
  CCOPY ( 3, X, 2, Y, 3 )
 
       1  1.000000e+01  1.000000e+00
       2  4.000000e+01  4.000000e+00
       3  6.000000e+01  6.000000e+00
       4  3.000000e+01  3.000000e+00
       5  1.000000e+02  1.000000e+01
       6  1.200000e+02  1.200000e+01
       7  5.000000e+01  5.000000e+00
       8  1.600000e+02  1.600000e+01
       9  1.800000e+02  1.800000e+01
      10  2.000000e+02  2.000000e+01
 
  CCOPY ( 5, X, 1, A, 1 )
 
 
  A = 
 
     10.0    1.0   10.0    2.0   10.0    3.0   10.0    4.0   10.0    5.0
     20.0    2.0   20.0    2.0   20.0    3.0   20.0    4.0   20.0    5.0
     30.0    3.0   30.0    2.0   30.0    3.0   30.0    4.0   30.0    5.0
     40.0    4.0   40.0    2.0   40.0    3.0   40.0    4.0   40.0    5.0
     50.0    5.0   50.0    2.0   50.0    3.0   50.0    4.0   50.0    5.0
 
  CCOPY ( 5, X, 2, A, 5 )
 
  A = 
 
     10.0    1.0   30.0    3.0   50.0    5.0   70.0    7.0   90.0    9.0
     20.0    1.0   20.0    2.0   20.0    3.0   20.0    4.0   20.0    5.0
     30.0    1.0   30.0    2.0   30.0    3.0   30.0    4.0   30.0    5.0
     40.0    1.0   40.0    2.0   40.0    3.0   40.0    4.0   40.0    5.0
     50.0    1.0   50.0    2.0   50.0    3.0   50.0    4.0   50.0    5.0
 
TEST05
  CDOTC computes the conjugated dot product
  of two complex vectors.
 
  X = 
 
       1     2.0    -1.0
       2    -4.0    -2.0
       3     3.0     1.0
       4     2.0     2.0
       5    -1.0    -1.0
 
  The square of the norm of X, computed as
  CDOTC(X,X) =    45.0000      0.0000
 
  Y = 
 
       1    -1.0     0.0
       2     0.0    -3.0
       3     4.0     0.0
       4    -3.0     4.0
       5    -2.0     0.0
 
  The dot product X.Y* is    20.0000     19.0000
 
TEST06
  CDOTU computes the unconjugated dot product
  of two complex vectors.
 
  X = 
 
       1     2.0    -1.0
       2    -4.0    -2.0
       3     3.0     1.0
       4     2.0     2.0
       5    -1.0    -1.0
 
  The unconjugated dot product ( X dot X )
  (which is NOT the square of the norm of X!):
  CDOTU(X,X) =    23.0000     28.0000
 
  Y = 
 
       1    -1.0     0.0
       2     0.0    -3.0
       3     4.0     0.0
       4    -3.0     4.0
       5    -2.0     0.0
 
  The dot product ( X dot Y ) is    -8.0000     21.0000
 
TEST07
  CMACH computes several machine-dependent
  complex arithmetic parameters.
 
  CMACH(1)  = machine epsilon =  1.192093e-07
  CMACH(2)  = a tiny value    =  1.533293e-18
  CMACH(3)  = a huge value    =  6.521909e+17
 
TEST08
  CROTG generates a complex Givens rotation
    (  C  S ) * ( A ) = ( R )
    ( -S  C )   ( B )   ( 0 )
 
 
  A =    4.498597e-01 -1.266672e-01
  B =   -8.431965e-01 -3.442802e-01
  C =    4.565401e-01
  S =   -7.017066e-01  5.469726e-01
  R =    9.853674e-01 -2.774504e-01
         C *A+S*B =   9.853674e-01 -2.774504e-01
  -conjg(S)*A+C*B =   2.980232e-08  0.000000e+00
 
  A =    5.896271e-01  2.600903e-01
  B =    3.911396e-01  3.234000e-01
  C =    7.856232e-01
  S =    5.953831e-01 -1.682711e-01
  R =    7.505215e-01  3.310623e-01
         C *A+S*B =   7.505215e-01  3.310623e-01
  -conjg(S)*A+C*B =   0.000000e+00  0.000000e+00
 
  A =   -1.394657e-01 -1.561356e-01
  B =   -2.360663e-01  7.745933e-02
  C =    6.443753e-01
  S =    3.062285e-01  7.007173e-01
  R =   -2.164355e-01 -2.423054e-01
         C *A+S*B =  -2.164356e-01 -2.423054e-01
  -conjg(S)*A+C*B =   0.000000e+00  3.725290e-09
 
  A =    1.859943e-02 -6.332143e-01
  B =    8.928497e-01  1.031361e-02
  C =    5.786315e-01
  S =    1.452795e-02 -8.154597e-01
  R =    3.214382e-02 -1.094331e+00
         C *A+S*B =   3.214382e-02 -1.094331e+00
  -conjg(S)*A+C*B =   0.000000e+00 -9.313226e-10
 
  A =   -5.604650e-01  7.637951e-01
  B =    3.063566e-01  2.627523e-02
  C =    9.511558e-01
  S =   -1.606977e-01  2.635882e-01
  R =   -5.892463e-01  8.030179e-01
         C *A+S*B =  -5.892462e-01  8.030179e-01
  -conjg(S)*A+C*B =   2.980232e-08  2.421439e-08
 
TEST09
  CSCAL multiplies a complex scalar 
  times a vector.
 
  X = 
 
       1    10.0     1.0
       2    20.0     2.0
       3    30.0     3.0
       4    40.0     4.0
       5    50.0     5.0
       6    60.0     6.0
 
  CSCAL ( N, (  5.0000  0.0000), X, 1 )
 
       1    50.0     5.0
       2   100.0    10.0
       3   150.0    15.0
       4   200.0    20.0
       5   250.0    25.0
       6   300.0    30.0
 
  CSCAL ( 3, ( -2.0000  1.0000), X, 2 )
 
       1   -21.0     8.0
       2    20.0     2.0
       3   -63.0    24.0
       4    40.0     4.0
       5  -105.0    40.0
       6    60.0     6.0
 
TEST10
  CSIGN1 ( C1, C2 ) transfers the sign of
  complex C2 to the CABS1 magnitude of C1.
 
           C1                    C2                    C3
  --------------------  --------------------  --------------------
 
      2.2493   -0.6333     -4.2160   -1.7214     -2.0469   -0.8358
      2.9481    1.3005      1.9557    1.6170      2.3257    1.9229
     -0.6973   -0.7807     -1.1803    0.3873     -1.1129    0.3652
      0.0930   -3.1661      4.4642    0.0516      3.2219    0.0372
     -2.8023    3.8190      1.5318    0.1314      6.0983    0.5230
      2.5040   -3.8997      1.7524    0.0828      6.1148    0.2888
      2.1749   -1.3331     -1.0047    1.3536     -1.4946    2.0135
     -0.4873    4.5094     -3.8512   -1.5715     -3.5486   -1.4481
     -4.4459    1.3283     -3.8994   -2.7558     -3.3832   -2.3910
      0.1568   -2.1678      1.2454    2.8937      0.6995    1.6251
 
TEST11
  CSIGN2 ( C1, C2 ) transfers the sign of
  complex C2 to the CABS2 magnitude of C1.
 
           C1                    C2                    C3
  --------------------  --------------------  --------------------
 
      2.2493   -0.6333     -4.2160   -1.7214     -2.1634   -0.8833
      2.9481    1.3005      1.9557    1.6170      2.4833    2.0532
     -0.6973   -0.7807     -1.1803    0.3873     -0.9946    0.3264
      0.0930   -3.1661      4.4642    0.0516      3.1672    0.0366
     -2.8023    3.8190      1.5318    0.1314      4.7195    0.4048
      2.5040   -3.8997      1.7524    0.0828      4.6292    0.2187
      2.1749   -1.3331     -1.0047    1.3536     -1.5205    2.0483
     -0.4873    4.5094     -3.8512   -1.5715     -4.1995   -1.7136
     -4.4459    1.3283     -3.8994   -2.7558     -3.7893   -2.6780
      0.1568   -2.1678      1.2454    2.8937      0.8592    1.9964
 
TEST12
  CSROT carries out a Givens rotation
  on a complex vector.
 
  X and Y
 
       1        10.0       1.0        20.0       2.0
       2        20.0       2.0        40.0       4.0
       3        30.0       3.0        60.0       6.0
       4        40.0       4.0        80.0       8.0
       5        50.0       5.0       100.0      10.0
       6        60.0       6.0       120.0      12.0
 
  CSROT ( N, X, 1, Y, 1,   0.5000,  0.8660 )
 
       1        22.3       2.2         1.3       0.1
       2        44.6       4.5         2.7       0.3
       3        67.0       6.7         4.0       0.4
       4        89.3       8.9         5.4       0.5
       5       111.6      11.2         6.7       0.7
       6       133.9      13.4         8.0       0.8
 
TEST13
  CSSCAL multiplies a real scalar 
  times a complex vector.
 
  X = 
 
       1    10.0     1.0
       2    20.0     2.0
       3    30.0     3.0
       4    40.0     4.0
       5    50.0     5.0
       6    60.0     6.0
 
  CSSCAL ( N,   5.0000, X, 1 )
 
       1    50.0     5.0
       2   100.0    10.0
       3   150.0    15.0
       4   200.0    20.0
       5   250.0    25.0
       6   300.0    30.0
 
  CSSCAL ( 3,  -2.0000, X, 2 )
 
       1   -20.0    -2.0
       2    20.0     2.0
       3   -60.0    -6.0
       4    40.0     4.0
       5  -100.0   -10.0
       6    60.0     6.0
 
TEST14
  CSWAP swaps two complex vectors.
 
  X and Y
 
       1     10.0    1.0     20.0    2.0
       2     20.0    2.0     40.0    4.0
       3     30.0    3.0     60.0    6.0
       4     40.0    4.0     80.0    8.0
       5     50.0    5.0    100.0   10.0
 
  CSWAP ( N, X, 1, Y, 1 )
 
  X and Y
 
       1     20.0    2.0     10.0    1.0
       2     40.0    4.0     20.0    2.0
       3     60.0    6.0     30.0    3.0
       4     80.0    8.0     40.0    4.0
       5    100.0   10.0     50.0    5.0
 
  CSWAP ( 3, X, 2, Y, 1 )
 
  X and Y
 
       1     20.0    2.0     10.0    1.0
       2     20.0    2.0     30.0    3.0
       3     40.0    4.0     50.0    5.0
       4     40.0    4.0     80.0    8.0
       5     60.0    6.0    100.0   10.0
 
TEST15
  ICAMAX returns the index of maximum 
  magnitude;
 
  The entries and CABS1 magnitudes:
 
       1  2.0000 -1.0000    3.0000
       2 -4.0000 -2.0000    6.0000
       3  3.0000  1.0000    4.0000
       4  2.0000  2.0000    4.0000
       5 -1.0000 -1.0000    2.0000
 
  The index of maximum magnitude =      2
 
  Note that this is a 1-based index.
  Note that the L1 norm is used.
 
TEST16
  SCASUM adds the absolute values of
  elements of a complex vector.
 
  X = 
 
       1     2.0    -1.0
       2    -4.0    -2.0
       3     3.0     1.0
       4     2.0     2.0
       5    -1.0    -1.0
       6    -1.0     0.0
       7     0.0    -3.0
       8     4.0     0.0
 
  SCASUM ( NX,   X, 1    ) =   2.700000e+01
  SCASUM ( NX/2, X, 2    ) =   1.200000e+01
  SCASUM ( 2,    X, NX/2 ) =   5.000000e+00
 
  Demonstrate with a matrix A:
 
    -3.0     4.0    -1.0     1.0     0.0    -2.0    -1.0     2.0
     2.0     0.0     0.0     5.0     1.0     3.0     2.0    -4.0
     3.0    -4.0    -4.0    -2.0    -3.0     3.0     0.0    -1.0
     2.0     0.0    -4.0     1.0    -3.0     3.0     0.0    -1.0
     2.0    -1.0    -4.0    -3.0    -1.0    -2.0    -2.0     4.0
 
  SCASUM ( MA, A(1,2), 1 )   =   2.500000e+01
  SCASUM ( NA, A(2,1), MA ) =   1.700000e+01
 
TEST17
  SCNRM2 returns the Euclidean norm
  of a complex vector.
 
  The vector X:
 
       1     2.0    -1.0
       2    -4.0    -2.0
       3     3.0     1.0
       4     2.0     2.0
       5    -1.0    -1.0
 
  The L2 norm of X is   6.708204e+00
 
blas1_c_test():
  Normal end of execution.
 
rc= 0
** blas/blas1-d-test.f
 
blas1_d_test():
  FORTRAN77 version
  Test blas1_d().
 
DASUM_TEST
  DASUM adds the absolute values of 
  elements of a double precision vector.
 
  X = 
 
       1 -2.000000e+00
       2  4.000000e+00
       3 -6.000000e+00
       4  8.000000e+00
       5 -1.000000e+01
       6  1.200000e+01
       7 -1.400000e+01
       8  1.600000e+01
       9 -1.800000e+01
      10  2.000000e+01
 
  DASUM ( NX, X, 1 ) =     1.100000e+02
  DASUM ( NX/2, X, 2 ) =   5.000000e+01
  DASUM ( 2, X, NX/2 ) =   1.400000e+01
 
  Demonstrate with a matrix A:
 
    1.100000e+01 -1.200000e+01  1.300000e+01 -1.400000e+01
   -2.100000e+01  2.200000e+01 -2.300000e+01  2.400000e+01
    3.100000e+01 -3.200000e+01  3.300000e+01 -3.400000e+01
   -4.100000e+01  4.200000e+01 -4.300000e+01  4.400000e+01
    5.100000e+01 -5.200000e+01  5.300000e+01 -5.400000e+01
 
  DASUM(MA,A(1,2),1) =     1.600000e+02
  DASUM(NA,A(2,1),LDA) =   9.000000e+01
 
DAXPY_TEST
  DAXPY adds a double precision multiple of 
  vector X to vector Y.
 
  X = 
 
       1  1.000000e+00
       2  2.000000e+00
       3  3.000000e+00
       4  4.000000e+00
       5  5.000000e+00
       6  6.000000e+00
 
  Y = 
 
       1  1.000000e+02
       2  2.000000e+02
       3  3.000000e+02
       4  4.000000e+02
       5  5.000000e+02
       6  6.000000e+02
 
  DAXPY ( N,   1.0000, X, 1, Y, 1 )
 
       1  1.010000e+02
       2  2.020000e+02
       3  3.030000e+02
       4  4.040000e+02
       5  5.050000e+02
       6  6.060000e+02
 
  DAXPY ( N,  -2.0000, X, 1, Y, 1 )
 
       1  9.800000e+01
       2  1.960000e+02
       3  2.940000e+02
       4  3.920000e+02
       5  4.900000e+02
       6  5.880000e+02
 
  DAXPY ( 3,   3.0000, X, 2, Y, 1 )
 
       1  1.030000e+02
       2  2.090000e+02
       3  3.150000e+02
       4  4.000000e+02
       5  5.000000e+02
       6  6.000000e+02
 
  DAXPY ( 3,  -4.0000, X, 1, Y, 2 )
 
       1  9.600000e+01
       2  2.000000e+02
       3  2.920000e+02
       4  4.000000e+02
       5  4.880000e+02
       6  6.000000e+02
 
DCOPY_TEST
  DCOPY copies one double precision vector
  into another.
 
  X = 
 
       1  1.000000e+00
       2  2.000000e+00
       3  3.000000e+00
       4  4.000000e+00
       5  5.000000e+00
       6  6.000000e+00
       7  7.000000e+00
       8  8.000000e+00
       9  9.000000e+00
      10  1.000000e+01
 
  Y = 
 
       1  1.000000e+01
       2  2.000000e+01
       3  3.000000e+01
       4  4.000000e+01
       5  5.000000e+01
       6  6.000000e+01
       7  7.000000e+01
       8  8.000000e+01
       9  9.000000e+01
      10  1.000000e+02
 
  A = 
 
     11.00   12.00   13.00   14.00   15.00
     21.00   22.00   23.00   24.00   25.00
     31.00   32.00   33.00   34.00   35.00
     41.00   42.00   43.00   44.00   45.00
     51.00   52.00   53.00   54.00   55.00
 
  DCOPY ( 5, X, 1, Y, 1 )
 
       1  1.000000e+00
       2  2.000000e+00
       3  3.000000e+00
       4  4.000000e+00
       5  5.000000e+00
       6  6.000000e+01
       7  7.000000e+01
       8  8.000000e+01
       9  9.000000e+01
      10  1.000000e+02
 
  DCOPY ( 3, X, 2, Y, 3 )
 
       1  1.000000e+00
       2  2.000000e+01
       3  3.000000e+01
       4  3.000000e+00
       5  5.000000e+01
       6  6.000000e+01
       7  5.000000e+00
       8  8.000000e+01
       9  9.000000e+01
      10  1.000000e+02
 
  DCOPY ( 5, X, 1, A, 1 )
 
 
  A = 
 
      1.00   12.00   13.00   14.00   15.00
      2.00   22.00   23.00   24.00   25.00
      3.00   32.00   33.00   34.00   35.00
      4.00   42.00   43.00   44.00   45.00
      5.00   52.00   53.00   54.00   55.00
 
  DCOPY ( 5, X, 2, A, 5 )
 
  A = 
 
      1.00    3.00    5.00    7.00    9.00
     21.00   22.00   23.00   24.00   25.00
     31.00   32.00   33.00   34.00   35.00
     41.00   42.00   43.00   44.00   45.00
     51.00   52.00   53.00   54.00   55.00
 
DDOT_TEST
  DDOT computes the dot product of 
  double precision vectors.
 
  Dot product of X and Y is  -5.500000e+01
 
  Product of row 2 of A and X is   8.500000e+01
 
  Product of column 2 of A and X is   8.500000e+01
 
  Matrix product computed with DDOT:
 
    5.000000e+01  3.000000e+01  1.000000e+01 -1.000000e+01 -3.000000e+01
    6.000000e+01  3.500000e+01  1.000000e+01 -1.500000e+01 -4.000000e+01
    7.000000e+01  4.000000e+01  1.000000e+01 -2.000000e+01 -5.000000e+01
    8.000000e+01  4.500000e+01  1.000000e+01 -2.500000e+01 -6.000000e+01
    9.000000e+01  5.000000e+01  1.000000e+01 -3.000000e+01 -7.000000e+01
 
DNRM2_TEST
  DNRM2 computes the Euclidean norm of 
  a double precision vector.
 
  The vector X:
 
       1  1.0000
       2  2.0000
       3  3.0000
       4  4.0000
       5  5.0000
 
  The 2-norm of X is   7.416198e+00
 
  The 2-norm of row 2 of A is   1.161895e+01
 
  The 2-norm of column 2 of A is   1.161895e+01
 
DROT_TEST
  DROT carries out a double precision 
  Givens rotation.
 
  X and Y
 
       1  1.000000e+00 -1.100000e+01
       2  2.000000e+00 -8.000000e+00
       3  3.000000e+00 -3.000000e+00
       4  4.000000e+00  4.000000e+00
       5  5.000000e+00  1.300000e+01
       6  6.000000e+00  2.400000e+01
 
  DROT ( N, X, 1, Y, 1,   0.5000,  0.8660 )
 
       1 -9.026279e+00 -6.366025e+00
       2 -5.928203e+00 -5.732051e+00
       3 -1.098076e+00 -4.098076e+00
       4  5.464102e+00 -1.464102e+00
       5  1.375833e+01  2.169873e+00
       6  2.378461e+01  6.803848e+00
 
  DROT ( N, X, 1, Y, 1,   0.0905, -0.9959 )
 
       1  1.104536e+01  0.000000e+00
       2  8.148217e+00  1.267500e+00
       3  3.259287e+00  2.716072e+00
       4 -3.621430e+00  4.345716e+00
       5 -1.249393e+01  6.156431e+00
       6 -2.335822e+01  8.148217e+00
 
TEST08
  DROTG generates a real Givens rotation
    (  C  S ) * ( A ) = ( R )
    ( -S  C )   ( B )   ( 0 )
 
 
  A =    2.184183e-01  B =    9.563176e-01
  C =    2.226615e-01  S =    9.748958e-01
  R =    9.809434e-01  Z =    4.491123e+00
   C*A+S*B =   9.809434e-01
  -S*A+C*B =   0.000000e+00
 
  A =    8.295092e-01  B =    5.616954e-01
  C =    8.280254e-01  S =    5.606906e-01
  R =    1.001792e+00  Z =    5.606906e-01
   C*A+S*B =   1.001792e+00
  -S*A+C*B =   0.000000e+00
 
  A =    4.153071e-01  B =    6.611873e-02
  C =    9.875629e-01  S =    1.572244e-01
  R =    4.205373e-01  Z =    1.572244e-01
   C*A+S*B =   4.205373e-01
  -S*A+C*B =   0.000000e+00
 
  A =    2.575778e-01  B =    1.099568e-01
  C =    9.197048e-01  S =    3.926107e-01
  R =    2.800657e-01  Z =    3.926107e-01
   C*A+S*B =   2.800657e-01
  -S*A+C*B =   0.000000e+00
 
  A =    4.382900e-02  B =    6.339657e-01
  C =    6.897002e-02  S =    9.976187e-01
  R =    6.354790e-01  Z =    1.449905e+01
   C*A+S*B =   6.354790e-01
  -S*A+C*B =   6.938894e-18
 
DSCAL_TEST
  DSCAL multiplies a double precision scalar
  times a vector.
 
  X = 
 
       1  1.000000e+00
       2  2.000000e+00
       3  3.000000e+00
       4  4.000000e+00
       5  5.000000e+00
       6  6.000000e+00
 
  DSCAL ( N,   5.0000, X, 1 )
 
       1  5.000000e+00
       2  1.000000e+01
       3  1.500000e+01
       4  2.000000e+01
       5  2.500000e+01
       6  3.000000e+01
 
  DSCAL ( 3,  -2.0000, X, 2 )
 
       1 -2.000000e+00
       2  2.000000e+00
       3 -6.000000e+00
       4  4.000000e+00
       5 -1.000000e+01
       6  6.000000e+00
 
DSWAP_TEST
  DSWAP swaps two vectors.
 
  X and Y
 
       1  1.000000e+00  1.000000e+02
       2  2.000000e+00  2.000000e+02
       3  3.000000e+00  3.000000e+02
       4  4.000000e+00  4.000000e+02
       5  5.000000e+00  5.000000e+02
       6  6.000000e+00  6.000000e+02
 
  DSWAP ( N, X, 1, Y, 1 )
 
  X and Y
 
       1  1.000000e+02  1.000000e+00
       2  2.000000e+02  2.000000e+00
       3  3.000000e+02  3.000000e+00
       4  4.000000e+02  4.000000e+00
       5  5.000000e+02  5.000000e+00
       6  6.000000e+02  6.000000e+00
 
  DSWAP ( 3, X, 2, Y, 1 )
 
  X and Y
 
       1  1.000000e+02  1.000000e+00
       2  2.000000e+00  3.000000e+00
       3  2.000000e+02  5.000000e+00
       4  4.000000e+00  4.000000e+02
       5  3.000000e+02  5.000000e+02
       6  6.000000e+00  6.000000e+02
 
IDAMAX_TEST
  IDAMAX returns the index of maximum 
  magnitude;
 
  The vector X:
 
       1  1.0000
       2 -3.0000
       3  4.0000
       4  0.0000
       5 -4.0000
       6  3.0000
       7 -1.0000
       8 -5.0000
       9  2.0000
      10 -2.0000
      11 -6.0000
 
  The index of maximum magnitude =     11
 
blas1_d_test():
  Normal end of execution.
 
rc= 0
** blas/blas1-s-test.f
 
blas1_s_test():
  FORTRAN77 version
  Test blas1_s().
 
TEST01
  ISAMAX returns the index of maximum 
  magnitude;
 
  The vector X:
 
       1  1.0000
       2 -3.0000
       3  4.0000
       4  0.0000
       5 -4.0000
       6  3.0000
       7 -1.0000
       8 -5.0000
       9  2.0000
      10 -2.0000
      11 -6.0000
 
  The index of maximum magnitude =     11
 
TEST02
  Use ISAMAX, SAXPY and SSCAL
  in a Gauss elimination routine.
 
  First five entries of solution:
 
    9.999998e-01  2.000000e+00  3.000000e+00  3.999999e+00  4.999999e+00
 
TEST03
  SASUM adds the absolute values 
  of elements of a vector.
 
  X = 
 
       1 -2.000000e+00
       2  4.000000e+00
       3 -6.000000e+00
       4  8.000000e+00
       5 -1.000000e+01
       6  1.200000e+01
       7 -1.400000e+01
       8  1.600000e+01
       9 -1.800000e+01
      10  2.000000e+01
 
  SASUM ( NX, X, 1 ) =     1.100000e+02
  SASUM ( NX/2, X, 2 ) =   5.000000e+01
  SASUM ( 2, X, NX/2 ) =   1.400000e+01
 
  Demonstrate with a matrix A:
 
    1.100000e+01 -1.200000e+01  1.300000e+01 -1.400000e+01
   -2.100000e+01  2.200000e+01 -2.300000e+01  2.400000e+01
    3.100000e+01 -3.200000e+01  3.300000e+01 -3.400000e+01
   -4.100000e+01  4.200000e+01 -4.300000e+01  4.400000e+01
    5.100000e+01 -5.200000e+01  5.300000e+01 -5.400000e+01
 
  SASUM(MA,A(1,2),1) =     1.600000e+02
  SASUM(NA,A(2,1),LDA) =   9.000000e+01
 
TEST04
  SAXPY adds a multiple of vector X to vector Y.
 
  X = 
 
       1  1.000000e+00
       2  2.000000e+00
       3  3.000000e+00
       4  4.000000e+00
       5  5.000000e+00
       6  6.000000e+00
 
  Y = 
 
       1  1.000000e+02
       2  2.000000e+02
       3  3.000000e+02
       4  4.000000e+02
       5  5.000000e+02
       6  6.000000e+02
 
  SAXPY ( N,   1.0000, X, 1, Y, 1 )
 
       1  1.010000e+02
       2  2.020000e+02
       3  3.030000e+02
       4  4.040000e+02
       5  5.050000e+02
       6  6.060000e+02
 
  SAXPY ( N,  -2.0000, X, 1, Y, 1 )
 
       1  9.800000e+01
       2  1.960000e+02
       3  2.940000e+02
       4  3.920000e+02
       5  4.900000e+02
       6  5.880000e+02
 
  SAXPY ( 3,   3.0000, X, 2, Y, 1 )
 
       1  1.030000e+02
       2  2.090000e+02
       3  3.150000e+02
       4  4.000000e+02
       5  5.000000e+02
       6  6.000000e+02
 
  SAXPY ( 3,  -4.0000, X, 1, Y, 2 )
 
       1  9.600000e+01
       2  2.000000e+02
       3  2.920000e+02
       4  4.000000e+02
       5  4.880000e+02
       6  6.000000e+02
 
TEST05
  SCOPY copies one vector into another.
 
  X = 
 
       1  1.000000e+00
       2  2.000000e+00
       3  3.000000e+00
       4  4.000000e+00
       5  5.000000e+00
       6  6.000000e+00
       7  7.000000e+00
       8  8.000000e+00
       9  9.000000e+00
      10  1.000000e+01
 
  Y = 
 
       1  1.000000e+01
       2  2.000000e+01
       3  3.000000e+01
       4  4.000000e+01
       5  5.000000e+01
       6  6.000000e+01
       7  7.000000e+01
       8  8.000000e+01
       9  9.000000e+01
      10  1.000000e+02
 
  A = 
 
     11.00   12.00   13.00   14.00   15.00
     21.00   22.00   23.00   24.00   25.00
     31.00   32.00   33.00   34.00   35.00
     41.00   42.00   43.00   44.00   45.00
     51.00   52.00   53.00   54.00   55.00
 
  SCOPY ( 5, X, 1, Y, 1 )
 
       1  1.000000e+00
       2  2.000000e+00
       3  3.000000e+00
       4  4.000000e+00
       5  5.000000e+00
       6  6.000000e+01
       7  7.000000e+01
       8  8.000000e+01
       9  9.000000e+01
      10  1.000000e+02
 
  SCOPY ( 3, X, 2, Y, 3 )
 
       1  1.000000e+00
       2  2.000000e+01
       3  3.000000e+01
       4  3.000000e+00
       5  5.000000e+01
       6  6.000000e+01
       7  5.000000e+00
       8  8.000000e+01
       9  9.000000e+01
      10  1.000000e+02
 
  SCOPY ( 5, X, 1, A, 1 )
 
 
  A = 
 
      1.00   12.00   13.00   14.00   15.00
      2.00   22.00   23.00   24.00   25.00
      3.00   32.00   33.00   34.00   35.00
      4.00   42.00   43.00   44.00   45.00
      5.00   52.00   53.00   54.00   55.00
 
  SCOPY ( 5, X, 2, A, 5 )
 
  A = 
 
      1.00    3.00    5.00    7.00    9.00
     21.00   22.00   23.00   24.00   25.00
     31.00   32.00   33.00   34.00   35.00
     41.00   42.00   43.00   44.00   45.00
     51.00   52.00   53.00   54.00   55.00
 
TEST06
  SDOT computes the dot product of vectors.
 
  Dot product of X and Y is  -5.500000e+01
 
  Product of row 2 of A and X is   8.500000e+01
 
  Product of column 2 of A and X is   8.500000e+01
 
  Matrix product computed with SDOT:
 
    5.000000e+01  3.000000e+01  1.000000e+01 -1.000000e+01 -3.000000e+01
    6.000000e+01  3.500000e+01  1.000000e+01 -1.500000e+01 -4.000000e+01
    7.000000e+01  4.000000e+01  1.000000e+01 -2.000000e+01 -5.000000e+01
    8.000000e+01  4.500000e+01  1.000000e+01 -2.500000e+01 -6.000000e+01
    9.000000e+01  5.000000e+01  1.000000e+01 -3.000000e+01 -7.000000e+01
 
TEST08
  SNRM2 computes the Euclidean norm 
  of a vector.
 
  The vector X:
 
       1  1.0000
       2  2.0000
       3  3.0000
       4  4.0000
       5  5.0000
 
  The 2-norm of X is   7.416199e+00
 
  The 2-norm of row 2 of A is   1.161895e+01
 
  The 2-norm of column 2 of A is   1.161895e+01
 
TEST09
  SROT carries out a Givens rotation.
 
  X and Y
 
       1  1.000000e+00 -1.100000e+01
       2  2.000000e+00 -8.000000e+00
       3  3.000000e+00 -3.000000e+00
       4  4.000000e+00  4.000000e+00
       5  5.000000e+00  1.300000e+01
       6  6.000000e+00  2.400000e+01
 
  SROT ( N, X, 1, Y, 1,   0.5000,  0.8660 )
 
       1 -9.026279e+00 -6.366025e+00
       2 -5.928203e+00 -5.732051e+00
       3 -1.098076e+00 -4.098076e+00
       4  5.464102e+00 -1.464102e+00
       5  1.375833e+01  2.169873e+00
       6  2.378461e+01  6.803848e+00
 
  SROT ( N, X, 1, Y, 1,   0.0905, -0.9959 )
 
       1  1.104536e+01 -5.960464e-08
       2  8.148217e+00  1.267500e+00
       3  3.259287e+00  2.716073e+00
       4 -3.621430e+00  4.345716e+00
       5 -1.249393e+01  6.156431e+00
       6 -2.335822e+01  8.148217e+00
 
TEST10
  SROTG generates a real Givens rotation
    (  C  S ) * ( A ) = ( R )
    ( -S  C )   ( B )   ( 0 )
 
 
  A =    2.184183e-01  B =    9.563176e-01
  C =    2.226615e-01  S =    9.748958e-01
  R =    9.809434e-01  Z =    4.491123e+00
   C*A+S*B =   9.809434e-01
  -S*A+C*B =   0.000000e+00
 
  A =    8.295093e-01  B =    5.616955e-01
  C =    8.280253e-01  S =    5.606906e-01
  R =    1.001792e+00  Z =    5.606906e-01
   C*A+S*B =   1.001792e+00
  -S*A+C*B =   2.980232e-08
 
  A =    4.153071e-01  B =    6.611873e-02
  C =    9.875629e-01  S =    1.572244e-01
  R =    4.205374e-01  Z =    1.572244e-01
   C*A+S*B =   4.205373e-01
  -S*A+C*B =   0.000000e+00
 
  A =    2.575778e-01  B =    1.099568e-01
  C =    9.197048e-01  S =    3.926106e-01
  R =    2.800657e-01  Z =    3.926106e-01
   C*A+S*B =   2.800657e-01
  -S*A+C*B =   0.000000e+00
 
  A =    4.382900e-02  B =    6.339657e-01
  C =    6.897002e-02  S =    9.976187e-01
  R =    6.354790e-01  Z =    1.449905e+01
   C*A+S*B =   6.354790e-01
  -S*A+C*B =  -3.725290e-09
 
TEST11
  SSCAL multiplies a vector by a scalar.
 
  X = 
 
       1  1.000000e+00
       2  2.000000e+00
       3  3.000000e+00
       4  4.000000e+00
       5  5.000000e+00
       6  6.000000e+00
 
  SSCAL ( N,   5.0000, X, 1 )
 
       1  5.000000e+00
       2  1.000000e+01
       3  1.500000e+01
       4  2.000000e+01
       5  2.500000e+01
       6  3.000000e+01
 
  SSCAL ( 3,  -2.0000, X, 2 )
 
       1 -2.000000e+00
       2  2.000000e+00
       3 -6.000000e+00
       4  4.000000e+00
       5 -1.000000e+01
       6  6.000000e+00
 
TEST12
  SSWAP swaps two vectors.
 
  X and Y
 
       1  1.000000e+00  1.000000e+02
       2  2.000000e+00  2.000000e+02
       3  3.000000e+00  3.000000e+02
       4  4.000000e+00  4.000000e+02
       5  5.000000e+00  5.000000e+02
       6  6.000000e+00  6.000000e+02
 
  SSWAP ( N, X, 1, Y, 1 )
 
  X and Y
 
       1  1.000000e+02  1.000000e+00
       2  2.000000e+02  2.000000e+00
       3  3.000000e+02  3.000000e+00
       4  4.000000e+02  4.000000e+00
       5  5.000000e+02  5.000000e+00
       6  6.000000e+02  6.000000e+00
 
  SSWAP ( 3, X, 2, Y, 1 )
 
  X and Y
 
       1  1.000000e+02  1.000000e+00
       2  2.000000e+00  3.000000e+00
       3  2.000000e+02  5.000000e+00
       4  4.000000e+00  4.000000e+02
       5  3.000000e+02  5.000000e+02
       6  6.000000e+00  6.000000e+02
 
blas1_s_test():
  Normal end of execution.
 
rc= 0
** blas/blas1-z-test.f
 
blas1_z_test():
  FORTRAN77 version
  Test blas1_z().
 
TEST01
  DZASUM adds the absolute values of
  elements of a complex vector.
 
  X = 
 
       1     2.0    -1.0
       2    -4.0    -2.0
       3     3.0     1.0
       4     2.0     2.0
       5    -1.0    -1.0
       6    -1.0     0.0
       7     0.0    -3.0
       8     4.0     0.0
 
  DZASUM ( NX,   X, 1    ) =   2.700000e+01
  DZASUM ( NX/2, X, 2    ) =   1.200000e+01
  DZASUM ( 2,    X, NX/2 ) =   5.000000e+00
 
  Demonstrate with a matrix A:
 
    -3.0     4.0    -1.0     1.0     0.0    -2.0    -1.0     2.0
     2.0     0.0     0.0     5.0     1.0     3.0     2.0    -4.0
     3.0    -4.0    -4.0    -2.0    -3.0     3.0     0.0    -1.0
     2.0     0.0    -4.0     1.0    -3.0     3.0     0.0    -1.0
     2.0    -1.0    -4.0    -3.0    -1.0    -2.0    -2.0     4.0
 
  DZASUM ( MA, A(1,2), 1 )   =   2.500000e+01
  DZASUM ( NA, A(2,1), MA ) =   1.700000e+01
 
TEST02
  DZNRM2 returns the Euclidean norm
  of a complex vector.
 
  The vector X:
 
       1     2.0    -1.0
       2    -4.0    -2.0
       3     3.0     1.0
       4     2.0     2.0
       5    -1.0    -1.0
 
  The L2 norm of X is   6.708204e+00
 
TEST03
  IZAMAX returns the index of maximum 
  magnitude;
 
  The entries and ZABS1 magnitudes:
 
       1  2.0000 -1.0000    3.0000
       2 -4.0000 -2.0000    6.0000
       3  3.0000  1.0000    4.0000
       4  2.0000  2.0000    4.0000
       5 -1.0000 -1.0000    2.0000
 
  The index of maximum magnitude =      2
 
  Note that this is a 1-based index.
  Note that the L1 norm is used.
 
TEST04
  ZABS1 returns the L1 norm 
  of a double complex number.
 
      Real      Imaginary              
      Part      Part           ZABS1(Z)
 
      2.2493   -0.6333         2.8826
     -4.2160   -1.7214         5.9374
      2.9481    1.3005         4.2486
      1.9557    1.6170         3.5727
     -0.6973   -0.7807         1.4780
     -1.1803    0.3873         1.5676
      0.0930   -3.1661         3.2591
      4.4642    0.0516         4.5158
     -2.8023    3.8190         6.6213
      1.5318    0.1314         1.6632
 
TEST05
  ZABS2 returns the L2 norm 
  of a double complex number.
 
      Real      Imaginary              
      Part      Part           ZABS2(Z)
 
      2.2493   -0.6333         2.3368
     -4.2160   -1.7214         4.5539
      2.9481    1.3005         3.2222
      1.9557    1.6170         2.5376
     -0.6973   -0.7807         1.0468
     -1.1803    0.3873         1.2422
      0.0930   -3.1661         3.1674
      4.4642    0.0516         4.4645
     -2.8023    3.8190         4.7368
      1.5318    0.1314         1.5374
 
TEST06
  ZAXPY adds a multiple of one 
  double complex vector to another.
 
  X = 
 
       1     2.0    -1.0
       2    -4.0    -2.0
       3     3.0     1.0
       4     2.0     2.0
       5    -1.0    -1.0
 
  Y = 
 
       1    -1.0     0.0
       2     0.0    -3.0
       3     4.0     0.0
       4    -3.0     4.0
       5    -2.0     0.0
 
  The scalar multiplier is:   5.000000e-01 -1.000000e+00
 
  A * X + Y = 
 
       1 -1.000000 -2.500000
       2 -4.000000  0.000000
       3  6.500000 -2.500000
       4  0.000000  3.000000
       5 -3.500000  0.500000
 
TEST07
  ZCOPY copies one double complex vector 
  into another.
 
  X = 
 
       1  1.000000e+01  1.000000e+00
       2  2.000000e+01  2.000000e+00
       3  3.000000e+01  3.000000e+00
       4  4.000000e+01  4.000000e+00
       5  5.000000e+01  5.000000e+00
       6  6.000000e+01  6.000000e+00
       7  7.000000e+01  7.000000e+00
       8  8.000000e+01  8.000000e+00
       9  9.000000e+01  9.000000e+00
      10  1.000000e+02  1.000000e+01
 
  Y = 
 
       1  2.000000e+01  2.000000e+00
       2  4.000000e+01  4.000000e+00
       3  6.000000e+01  6.000000e+00
       4  8.000000e+01  8.000000e+00
       5  1.000000e+02  1.000000e+01
       6  1.200000e+02  1.200000e+01
       7  1.400000e+02  1.400000e+01
       8  1.600000e+02  1.600000e+01
       9  1.800000e+02  1.800000e+01
      10  2.000000e+02  2.000000e+01
 
  A = 
 
     10.0    1.0   10.0    2.0   10.0    3.0   10.0    4.0   10.0    5.0
     20.0    1.0   20.0    2.0   20.0    3.0   20.0    4.0   20.0    5.0
     30.0    1.0   30.0    2.0   30.0    3.0   30.0    4.0   30.0    5.0
     40.0    1.0   40.0    2.0   40.0    3.0   40.0    4.0   40.0    5.0
     50.0    1.0   50.0    2.0   50.0    3.0   50.0    4.0   50.0    5.0
 
  ZCOPY ( 5, X, 1, Y, 1 )
 
       1  1.000000e+01  1.000000e+00
       2  2.000000e+01  2.000000e+00
       3  3.000000e+01  3.000000e+00
       4  4.000000e+01  4.000000e+00
       5  5.000000e+01  5.000000e+00
       6  1.200000e+02  1.200000e+01
       7  1.400000e+02  1.400000e+01
       8  1.600000e+02  1.600000e+01
       9  1.800000e+02  1.800000e+01
      10  2.000000e+02  2.000000e+01
 
  ZCOPY ( 3, X, 2, Y, 3 )
 
       1  1.000000e+01  1.000000e+00
       2  4.000000e+01  4.000000e+00
       3  6.000000e+01  6.000000e+00
       4  3.000000e+01  3.000000e+00
       5  1.000000e+02  1.000000e+01
       6  1.200000e+02  1.200000e+01
       7  5.000000e+01  5.000000e+00
       8  1.600000e+02  1.600000e+01
       9  1.800000e+02  1.800000e+01
      10  2.000000e+02  2.000000e+01
 
  ZCOPY ( 5, X, 1, A, 1 )
 
 
  A = 
 
     10.0    1.0   10.0    2.0   10.0    3.0   10.0    4.0   10.0    5.0
     20.0    2.0   20.0    2.0   20.0    3.0   20.0    4.0   20.0    5.0
     30.0    3.0   30.0    2.0   30.0    3.0   30.0    4.0   30.0    5.0
     40.0    4.0   40.0    2.0   40.0    3.0   40.0    4.0   40.0    5.0
     50.0    5.0   50.0    2.0   50.0    3.0   50.0    4.0   50.0    5.0
 
  ZCOPY ( 5, X, 2, A, 5 )
 
  A = 
 
     10.0    1.0   30.0    3.0   50.0    5.0   70.0    7.0   90.0    9.0
     20.0    1.0   20.0    2.0   20.0    3.0   20.0    4.0   20.0    5.0
     30.0    1.0   30.0    2.0   30.0    3.0   30.0    4.0   30.0    5.0
     40.0    1.0   40.0    2.0   40.0    3.0   40.0    4.0   40.0    5.0
     50.0    1.0   50.0    2.0   50.0    3.0   50.0    4.0   50.0    5.0
 
TEST08
  ZDOTC computes the conjugated dot product
  of two double complex vectors.
 
  X = 
 
       1     2.0    -1.0
       2    -4.0    -2.0
       3     3.0     1.0
       4     2.0     2.0
       5    -1.0    -1.0
 
  The square of the norm of X, computed as
  ZDOTC(X,X) =    45.0000      0.0000
 
  Y = 
 
       1    -1.0     0.0
       2     0.0    -3.0
       3     4.0     0.0
       4    -3.0     4.0
       5    -2.0     0.0
 
  The dot product X.Y* is    20.0000     19.0000
 
TEST09
  ZDOTU computes the unconjugated dot product
  of two double complex vectors.
 
  X = 
 
       1     2.0    -1.0
       2    -4.0    -2.0
       3     3.0     1.0
       4     2.0     2.0
       5    -1.0    -1.0
 
  The unconjugated dot product ( X dot X )
  (which is NOT the square of the norm of X!):
  ZDOTU(X,X) =    23.0000     28.0000
 
  Y = 
 
       1    -1.0     0.0
       2     0.0    -3.0
       3     4.0     0.0
       4    -3.0     4.0
       5    -2.0     0.0
 
  The dot product ( X dot Y ) is    -8.0000     21.0000
 
TEST10
  ZDROT carries out a Givens rotation
  on a double complex vector.
 
  X and Y
 
       1        10.0       1.0        20.0       2.0
       2        20.0       2.0        40.0       4.0
       3        30.0       3.0        60.0       6.0
       4        40.0       4.0        80.0       8.0
       5        50.0       5.0       100.0      10.0
       6        60.0       6.0       120.0      12.0
 
  ZDROT ( N, X, 1, Y, 1,   0.5000,  0.8660 )
 
       1        22.3       2.2         1.3       0.1
       2        44.6       4.5         2.7       0.3
       3        67.0       6.7         4.0       0.4
       4        89.3       8.9         5.4       0.5
       5       111.6      11.2         6.7       0.7
       6       133.9      13.4         8.0       0.8
 
TEST11
  ZDSCAL multiplies a double precision
  scalar times a double complex vector.
 
  X = 
 
       1    10.0     1.0
       2    20.0     2.0
       3    30.0     3.0
       4    40.0     4.0
       5    50.0     5.0
       6    60.0     6.0
 
  ZDSCAL ( N,   5.0000, X, 1 )
 
       1    50.0     5.0
       2   100.0    10.0
       3   150.0    15.0
       4   200.0    20.0
       5   250.0    25.0
       6   300.0    30.0
 
  ZDSCAL ( 3,  -2.0000, X, 2 )
 
       1   -20.0    -2.0
       2    20.0     2.0
       3   -60.0    -6.0
       4    40.0     4.0
       5  -100.0   -10.0
       6    60.0     6.0
 
TEST12
  ZMACH computes several machine-dependent
  double complex arithmetic parameters.
 
  ZMACH(1)  = machine epsilon =  2.220446049250313e-16
  ZMACH(2)  = a tiny value    =  8.900295434028806e-308
  ZMACH(3)  = a huge value    =  1.123558209288947e+307
 
TEST13
  ZROTG generates a complex Givens rotation
    (  C  S ) * ( A ) = ( R )
    ( -S  C )   ( B )   ( 0 )
 
 
  A =    4.498596e-01 -1.266674e-01
  B =   -8.431966e-01 -3.442800e-01
  C =    4.565401e-01
  S =   -7.017065e-01  5.469727e-01
  R =    9.853673e-01 -2.774507e-01
         C *A+S*B =   9.853673e-01 -2.774507e-01
  -conjg(S)*A+C*B =   0.000000e+00  2.775558e-17
 
  A =    5.896271e-01  2.600903e-01
  B =    3.911396e-01  3.234000e-01
  C =    7.856232e-01
  S =    5.953831e-01 -1.682711e-01
  R =    7.505215e-01  3.310624e-01
         C *A+S*B =   7.505215e-01  3.310624e-01
  -conjg(S)*A+C*B =   5.551115e-17  0.000000e+00
 
  A =   -1.394657e-01 -1.561355e-01
  B =   -2.360663e-01  7.745932e-02
  C =    6.443752e-01
  S =    3.062286e-01  7.007172e-01
  R =   -2.164356e-01 -2.423053e-01
         C *A+S*B =  -2.164356e-01 -2.423053e-01
  -conjg(S)*A+C*B =   0.000000e+00  0.000000e+00
 
  A =    1.859929e-02 -6.332143e-01
  B =    8.928497e-01  1.031361e-02
  C =    5.786315e-01
  S =    1.452777e-02 -8.154597e-01
  R =    3.214359e-02 -1.094331e+00
         C *A+S*B =   3.214359e-02 -1.094331e+00
  -conjg(S)*A+C*B =  -1.110223e-16 -8.673617e-19
 
  A =   -5.604651e-01  7.637951e-01
  B =    3.063566e-01  2.627523e-02
  C =    9.511559e-01
  S =   -1.606977e-01  2.635882e-01
  R =   -5.892463e-01  8.030178e-01
         C *A+S*B =  -5.892463e-01  8.030178e-01
  -conjg(S)*A+C*B =   5.551115e-17 -3.469447e-18
 
TEST14
  ZSCAL multiplies a double complex scalar 
  times a vector.
 
  X = 
 
       1    10.0     1.0
       2    20.0     2.0
       3    30.0     3.0
       4    40.0     4.0
       5    50.0     5.0
       6    60.0     6.0
 
  ZSCAL ( N, (  5.0000  0.0000), X, 1 )
 
       1    50.0     5.0
       2   100.0    10.0
       3   150.0    15.0
       4   200.0    20.0
       5   250.0    25.0
       6   300.0    30.0
 
  ZSCAL ( 3, ( -2.0000  1.0000), X, 2 )
 
       1   -21.0     8.0
       2    20.0     2.0
       3   -63.0    24.0
       4    40.0     4.0
       5  -105.0    40.0
       6    60.0     6.0
 
TEST15
  ZSIGN1 ( C1, C2 ) transfers the sign of
  double complex C2 to the ZABS1 magnitude 
  of C1.
 
           C1                    C2                    C3
  --------------------  --------------------  --------------------
 
      2.2493   -0.6333     -4.2160   -1.7214     -2.0469   -0.8358
      2.9481    1.3005      1.9557    1.6170      2.3257    1.9229
     -0.6973   -0.7807     -1.1803    0.3873     -1.1129    0.3652
      0.0930   -3.1661      4.4642    0.0516      3.2219    0.0372
     -2.8023    3.8190      1.5318    0.1314      6.0983    0.5230
      2.5040   -3.8997      1.7524    0.0828      6.1148    0.2888
      2.1749   -1.3331     -1.0047    1.3536     -1.4946    2.0135
     -0.4873    4.5094     -3.8512   -1.5715     -3.5486   -1.4481
     -4.4459    1.3283     -3.8994   -2.7558     -3.3832   -2.3910
      0.1568   -2.1678      1.2454    2.8937      0.6995    1.6251
 
TEST16
  ZSIGN2 ( C1, C2 ) transfers the sign of
  double complex C2 to the ZABS2 magnitude 
  of C1.
 
           C1                    C2                    C3
  --------------------  --------------------  --------------------
 
      2.2493   -0.6333     -4.2160   -1.7214     -2.1634   -0.8833
      2.9481    1.3005      1.9557    1.6170      2.4833    2.0532
     -0.6973   -0.7807     -1.1803    0.3873     -0.9946    0.3264
      0.0930   -3.1661      4.4642    0.0516      3.1672    0.0366
     -2.8023    3.8190      1.5318    0.1314      4.7195    0.4048
      2.5040   -3.8997      1.7524    0.0828      4.6292    0.2187
      2.1749   -1.3331     -1.0047    1.3536     -1.5205    2.0483
     -0.4873    4.5094     -3.8512   -1.5715     -4.1995   -1.7136
     -4.4459    1.3283     -3.8994   -2.7558     -3.7893   -2.6780
      0.1568   -2.1678      1.2454    2.8937      0.8592    1.9964
 
TEST17
  ZSWAP swaps two double complex vectors.
 
  X and Y
 
       1     10.0    1.0     20.0    2.0
       2     20.0    2.0     40.0    4.0
       3     30.0    3.0     60.0    6.0
       4     40.0    4.0     80.0    8.0
       5     50.0    5.0    100.0   10.0
 
  ZSWAP ( N, X, 1, Y, 1 )
 
  X and Y
 
       1     20.0    2.0     10.0    1.0
       2     40.0    4.0     20.0    2.0
       3     60.0    6.0     30.0    3.0
       4     80.0    8.0     40.0    4.0
       5    100.0   10.0     50.0    5.0
 
  ZSWAP ( 3, X, 2, Y, 1 )
 
  X and Y
 
       1     20.0    2.0     10.0    1.0
       2     20.0    2.0     30.0    3.0
       3     40.0    4.0     50.0    5.0
       4     40.0    4.0     80.0    8.0
       5     60.0    6.0    100.0   10.0
 
blas1_z_test():
  Normal end of execution.
 
rc= 0
** blas/blas2-c-test.f
 
blas2_c_test():
  FORTRAN77 version
  Test blas2_c().
 
TEST01
  For a general matrix A,
  CGEMV computes y := alpha * A * x + beta * y
 
  Result vector Y = 
 
    2.830000e+02  7.200000e+01
    3.000000e+02  3.000000e+00
    3.000000e+02  3.000000e+00
    3.000000e+02  3.000000e+00
    3.550000e+02 -4.200000e+01
 
blas2_c_test():
  Normal end of execution.
 
rc= 0
** blas/blas2-d-test.f
 
blas2_d_test():
  FORTRAN77 version
  Test blas2_d().
 
TEST01
  For a general matrix A,
  DGEMV computes y := alpha * A * x + beta * y
  or             y := alpha * A' * x + beta * y.
 
  Matrix A:
 
  Col         1             2             3             4       
  Row
 
    1:  1.100000e+01  1.200000e+01  1.300000e+01  1.400000e+01
    2:  2.100000e+01  2.200000e+01  2.300000e+01  2.400000e+01
    3:  3.100000e+01  3.200000e+01  3.300000e+01  3.400000e+01
    4:  4.100000e+01  4.200000e+01  4.300000e+01  4.400000e+01
    5:  5.100000e+01  5.200000e+01  5.300000e+01  5.400000e+01
 
  Vector X:
 
         1:   1.00000000e+00
         2:   2.00000000e+00
         3:   3.00000000e+00
         4:   4.00000000e+00
 
  Vector Y:
 
         1:   1.00000000e+01
         2:   2.00000000e+01
         3:   3.00000000e+01
         4:   4.00000000e+01
         5:   5.00000000e+01
 
  Result Y = alpha * A  * x + beta * y
 
         1:   2.90000000e+02
         2:   5.20000000e+02
         3:   7.50000000e+02
         4:   9.80000000e+02
         5:   1.21000000e+03
 
  Matrix A:
 
  Col         1             2             3             4       
  Row
 
    1:  1.100000e+01  2.100000e+01  3.100000e+01  4.100000e+01
    2:  1.200000e+01  2.200000e+01  3.200000e+01  4.200000e+01
    3:  1.300000e+01  2.300000e+01  3.300000e+01  4.300000e+01
    4:  1.400000e+01  2.400000e+01  3.400000e+01  4.400000e+01
    5:  1.500000e+01  2.500000e+01  3.500000e+01  4.500000e+01
 
  Vector X:
 
         1:   1.00000000e+00
         2:   2.00000000e+00
         3:   3.00000000e+00
         4:   4.00000000e+00
         5:   5.00000000e+00
 
  Vector Y:
 
         1:   1.00000000e+01
         2:   2.00000000e+01
         3:   3.00000000e+01
         4:   4.00000000e+01
 
  Result Y = alpha * A' * x + beta * y
 
         1:   4.40000000e+02
         2:   7.70000000e+02
         3:   1.10000000e+03
         4:   1.43000000e+03
 
TEST02
  For a general band matrix A,
  DGBMV computes 
  y := alpha * A * x + beta * y
 
  Result vector Y
 
         1:   3.00000000e+01
         2:   6.00000000e+01
         3:   9.00000000e+01
         4:   1.20000000e+02
         5:   1.62000000e+02
 
TEST03
  For a general symmetric matrix A,
  DSYMV computes 
  y := alpha * A * x + beta * y
 
  Result vector Y
 
         1:   3.00000000e+01
         2:   6.00000000e+01
         3:   9.00000000e+01
         4:   1.20000000e+02
         5:   1.62000000e+02
 
TEST04
  For a symmetric band matrix A,
  DSBMV computes 
  y := alpha * A * x + beta * y
 
  Result vector Y
 
         1:   3.00000000e+01
         2:   6.00000000e+01
         3:   9.00000000e+01
         4:   1.20000000e+02
         5:   1.62000000e+02
 
TEST05
  For a general matrix A,
  DGER computes A := A + alpha * x * y'
 
  Matrix A:
 
  Col         1             2             3             4       
  Row
 
    1:  1.100000e+01  1.200000e+01  1.300000e+01  1.400000e+01
    2:  2.100000e+01  2.200000e+01  2.300000e+01  2.400000e+01
    3:  3.100000e+01  3.200000e+01  3.300000e+01  3.400000e+01
    4:  4.100000e+01  4.200000e+01  4.300000e+01  4.400000e+01
    5:  5.100000e+01  5.200000e+01  5.300000e+01  5.400000e+01
 
  Vector X:
 
         1:   1.00000000e+00
         2:   2.00000000e+00
         3:   3.00000000e+00
         4:   4.00000000e+00
         5:   5.00000000e+00
 
  Vector Y:
 
         1:   1.00000000e+01
         2:   2.00000000e+01
         3:   3.00000000e+01
         4:   4.00000000e+01
 
  Result A = A + alpha * x * y
 
  Col         1             2             3             4       
  Row
 
    1:  3.100000e+01  5.200000e+01  7.300000e+01  9.400000e+01
    2:  6.100000e+01  1.020000e+02  1.430000e+02  1.840000e+02
    3:  9.100000e+01  1.520000e+02  2.130000e+02  2.740000e+02
    4:  1.210000e+02  2.020000e+02  2.830000e+02  3.640000e+02
    5:  1.510000e+02  2.520000e+02  3.530000e+02  4.540000e+02
 
TEST06
  For a triangular matrix A,
  DTRMV computes y := A * x or y := A' * x
 
  Result y = A * x
 
         1:   7.00000000e+01
         2:   8.20000000e+01
         3:   8.60000000e+01
         4:   7.70000000e+01
         5:   5.00000000e+01
 
  Result y = A' * x
 
         1:   2.00000000e+00
         2:   1.10000000e+01
         3:   3.20000000e+01
         4:   7.00000000e+01
         5:   1.30000000e+02
 
blas2_d_test():
  Normal end of execution.
 
rc= 0
** blas/blas2-s-test.f
 
blas2_s_test():
  FORTRAN77 version
  Test blas2_s().
 
TEST01
  For a general matrix A,
  SGEMV computes y := alpha * A * x + beta * y
  or             y := alpha * A' * x + beta * y.
 
  Matrix A:
 
  Col         1             2             3             4       
  Row
 
    1:  1.100000e+01  1.200000e+01  1.300000e+01  1.400000e+01
    2:  2.100000e+01  2.200000e+01  2.300000e+01  2.400000e+01
    3:  3.100000e+01  3.200000e+01  3.300000e+01  3.400000e+01
    4:  4.100000e+01  4.200000e+01  4.300000e+01  4.400000e+01
    5:  5.100000e+01  5.200000e+01  5.300000e+01  5.400000e+01
 
  Vector X:
 
         1:     1.000000e+00
         2:     2.000000e+00
         3:     3.000000e+00
         4:     4.000000e+00
 
  Vector Y:
 
         1:     1.000000e+01
         2:     2.000000e+01
         3:     3.000000e+01
         4:     4.000000e+01
         5:     5.000000e+01
 
  Result Y = alpha * A  * x + beta * y
 
         1:     2.900000e+02
         2:     5.200000e+02
         3:     7.500000e+02
         4:     9.800000e+02
         5:     1.210000e+03
 
  Matrix A:
 
  Col         1             2             3             4       
  Row
 
    1:  1.100000e+01  2.100000e+01  3.100000e+01  4.100000e+01
    2:  1.200000e+01  2.200000e+01  3.200000e+01  4.200000e+01
    3:  1.300000e+01  2.300000e+01  3.300000e+01  4.300000e+01
    4:  1.400000e+01  2.400000e+01  3.400000e+01  4.400000e+01
    5:  1.500000e+01  2.500000e+01  3.500000e+01  4.500000e+01
 
  Vector X:
 
         1:     1.000000e+00
         2:     2.000000e+00
         3:     3.000000e+00
         4:     4.000000e+00
         5:     5.000000e+00
 
  Vector Y:
 
         1:     1.000000e+01
         2:     2.000000e+01
         3:     3.000000e+01
         4:     4.000000e+01
 
  Result Y = alpha * A' * x + beta * y
 
         1:     4.400000e+02
         2:     7.700000e+02
         3:     1.100000e+03
         4:     1.430000e+03
 
TEST02
  For a general band matrix A,
  SGBMV computes 
  y := alpha * A * x + beta * y
 
  Result vector Y
 
         1:     3.000000e+01
         2:     6.000000e+01
         3:     9.000000e+01
         4:     1.200000e+02
         5:     1.620000e+02
 
TEST03
  For a general symmetric matrix A,
  SSYMV computes 
  y := alpha * A * x + beta * y
 
  Result vector Y
 
         1:     3.000000e+01
         2:     6.000000e+01
         3:     9.000000e+01
         4:     1.200000e+02
         5:     1.620000e+02
 
TEST04
  For a symmetric band matrix A,
  SSBMV computes 
  y := alpha * A * x + beta * y
 
  Result vector Y
 
         1:     3.000000e+01
         2:     6.000000e+01
         3:     9.000000e+01
         4:     1.200000e+02
         5:     1.620000e+02
 
TEST05
  For a general matrix A,
  SGER computes A := A + alpha * x * y'
 
  Matrix A:
 
  Col         1             2             3             4       
  Row
 
    1:  1.100000e+01  1.200000e+01  1.300000e+01  1.400000e+01
    2:  2.100000e+01  2.200000e+01  2.300000e+01  2.400000e+01
    3:  3.100000e+01  3.200000e+01  3.300000e+01  3.400000e+01
    4:  4.100000e+01  4.200000e+01  4.300000e+01  4.400000e+01
    5:  5.100000e+01  5.200000e+01  5.300000e+01  5.400000e+01
 
  Vector X:
 
         1:     1.000000e+00
         2:     2.000000e+00
         3:     3.000000e+00
         4:     4.000000e+00
         5:     5.000000e+00
 
  Vector Y:
 
         1:     1.000000e+01
         2:     2.000000e+01
         3:     3.000000e+01
         4:     4.000000e+01
 
  Result A = A + alpha * x * y
 
  Col         1             2             3             4       
  Row
 
    1:  3.100000e+01  5.200000e+01  7.300000e+01  9.400000e+01
    2:  6.100000e+01  1.020000e+02  1.430000e+02  1.840000e+02
    3:  9.100000e+01  1.520000e+02  2.130000e+02  2.740000e+02
    4:  1.210000e+02  2.020000e+02  2.830000e+02  3.640000e+02
    5:  1.510000e+02  2.520000e+02  3.530000e+02  4.540000e+02
 
TEST06
  For a triangular matrix A,
  STRMV computes y := A * x or y := A' * x
 
  Result y = A * x
 
         1:     7.000000e+01
         2:     8.200000e+01
         3:     8.600000e+01
         4:     7.700000e+01
         5:     5.000000e+01
 
  Result y = A' * x
 
         1:     2.000000e+00
         2:     1.100000e+01
         3:     3.200000e+01
         4:     7.000000e+01
         5:     1.300000e+02
 
blas2_s_test():
  Normal end of execution.
 
rc= 0
** blas/blas2-z-test.f
 
blas2_z_test():
  FORTRAN77 version
  Test blas2_z().
 
TEST01
  For a general matrix A,
  ZGEMV computes y := alpha * A * x + beta * y
 
  Result vector Y = 
 
    2.830000e+02  7.200000e+01
    3.000000e+02  3.000000e+00
    3.000000e+02  3.000000e+00
    3.000000e+02  3.000000e+00
    3.550000e+02 -4.200000e+01
 
blas2_z_test():
  Normal end of execution.
 
rc= 0
** blas/blas3-c-test.f
 
blas3_c_test():
  FORTRAN77 version
  Test blas3_c().
 
TEST01
  CGEMM can combine scale, multiply and add matrices
  using single precision complex arithmetic.
 
  Here, we simply compute C = A * B.
  Because B is inverse ( A ), C should be the identity.
 
  Matrix A:
 
  Col:          1                   2                   3          
  Row
  ---
    1: 5.774e-01           5.774e-01           5.774e-01          
    2: 5.774e-01          -2.887e-01 5.000e-01-2.887e-01-5.000e-01
    3: 5.774e-01          -2.887e-01-5.000e-01-2.887e-01 5.000e-01
 
  Matrix B:
 
  Col:          1                   2                   3          
  Row
  ---
    1: 5.774e-01           5.774e-01           5.774e-01          
    2: 5.774e-01          -2.887e-01-5.000e-01-2.887e-01 5.000e-01
    3: 5.774e-01          -2.887e-01 5.000e-01-2.887e-01-5.000e-01
 
  Product C = A * B:
 
  Col:          1                   2                   3          
  Row
  ---
    1: 1.000e+00          -2.980e-08 2.980e-08-5.960e-08 5.960e-08
    2:-2.980e-08-2.980e-08 1.000e+00          -1.490e-08 2.980e-08
    3:-5.960e-08-5.960e-08-1.490e-08-2.980e-08 1.000e+00          
 
blas3_c_test():
  Normal end of execution.
 
rc= 0
** blas/blas3-d-test.f
 
blas3_d_test():
  FORTRAN77 version
  Test blas3_d().

DGEMM_TEST
  DGEMM carries out matrix multiplications
  for double precision real matrices.

  1: C = alpha * A  * B  + beta * C;
  2: C = alpha * A' * B  + beta * C;
  3: C = alpha * A  * B' + beta * C;
  4: C = alpha * A' * B' + beta * C;

  We carry out all four calculations, but in each case,
  we choose our input matrices so that we get the same result.
 
  C = alpha * A * B + beta * C:
 
  Col         1             2             3             4             5       
  Row
 
    1:  1.585000e+03  1.660000e+03  1.735000e+03  1.810000e+03  1.885000e+03
    2:  2.875000e+03  3.010000e+03  3.145000e+03  3.280000e+03  3.415000e+03
    3:  4.165000e+03  4.360000e+03  4.555000e+03  4.750000e+03  4.945000e+03
    4:  5.455000e+03  5.710000e+03  5.965000e+03  6.220000e+03  6.475000e+03
 
  C = alpha * A' * B + beta * C:
 
  Col         1             2             3             4             5       
  Row
 
    1:  1.585000e+03  1.660000e+03  1.735000e+03  1.810000e+03  1.885000e+03
    2:  2.875000e+03  3.010000e+03  3.145000e+03  3.280000e+03  3.415000e+03
    3:  4.165000e+03  4.360000e+03  4.555000e+03  4.750000e+03  4.945000e+03
    4:  5.455000e+03  5.710000e+03  5.965000e+03  6.220000e+03  6.475000e+03
 
  C = alpha * A * B' + beta * C:
 
  Col         1             2             3             4             5       
  Row
 
    1:  1.585000e+03  1.660000e+03  1.735000e+03  1.810000e+03  1.885000e+03
    2:  2.875000e+03  3.010000e+03  3.145000e+03  3.280000e+03  3.415000e+03
    3:  4.165000e+03  4.360000e+03  4.555000e+03  4.750000e+03  4.945000e+03
    4:  5.455000e+03  5.710000e+03  5.965000e+03  6.220000e+03  6.475000e+03
 
  C = alpha * A' * B' + beta * C:
 
  Col         1             2             3             4             5       
  Row
 
    1:  1.585000e+03  1.660000e+03  1.735000e+03  1.810000e+03  1.885000e+03
    2:  2.875000e+03  3.010000e+03  3.145000e+03  3.280000e+03  3.415000e+03
    3:  4.165000e+03  4.360000e+03  4.555000e+03  4.750000e+03  4.945000e+03
    4:  5.455000e+03  5.710000e+03  5.965000e+03  6.220000e+03  6.475000e+03

DTRMM_TEST
  DTRMM multiplies a triangular matrix A and a
  rectangular matrix B

  1: B = alpha * A  * B;
  2: B = alpha * A' * B;
 
  B = alpha * A * B:
 
  Col         1             2             3             4             5       
  Row
 
    1:  8.280000e+02  8.560000e+02  8.840000e+02  9.120000e+02  9.400000e+02
    2:  9.700000e+02  1.000000e+03  1.030000e+03  1.060000e+03  1.090000e+03
    3:  9.460000e+02  9.720000e+02  9.980000e+02  1.024000e+03  1.050000e+03
    4:  6.560000e+02  6.720000e+02  6.880000e+02  7.040000e+02  7.200000e+02
 
  B = alpha * A * B:
 
  Col         1             2             3             4             5       
  Row
 
    1:  4.400000e+01  4.800000e+01  5.200000e+01  5.600000e+01  6.000000e+01
    2:  2.340000e+02  2.480000e+02  2.620000e+02  2.760000e+02  2.900000e+02
    3:  6.700000e+02  7.000000e+02  7.300000e+02  7.600000e+02  7.900000e+02
    4:  1.452000e+03  1.504000e+03  1.556000e+03  1.608000e+03  1.660000e+03

DTRSM_TEST
  DTRSM solves a linear system involving a triangular
  matrix A and a rectangular matrix B.

  1: Solve A  * X  = alpha * B;
  2: Solve A' * X  = alpha * B;
  3: Solve X  * A  = alpha * B;
  4: Solve X  * A' = alpha * B;
 
  X = inv ( A ) * alpha * B:
 
  Col         1             2             3             4             5       
  Row
 
    1: -7.109375e+00 -6.927083e+00 -6.744792e+00 -6.562500e+00 -6.380208e+00
    2: -2.843750e+00 -2.770833e+00 -2.697917e+00 -2.625000e+00 -2.552083e+00
    3: -1.625000e+00 -1.583333e+00 -1.541667e+00 -1.500000e+00 -1.458333e+00
    4:  1.025000e+01  1.050000e+01  1.075000e+01  1.100000e+01  1.125000e+01
 
  X = inv ( A' ) * alpha * B:
 
  Col         1             2             3             4             5       
  Row
 
    1:  1.100000e+01  1.200000e+01  1.300000e+01  1.400000e+01  1.500000e+01
    2:  2.250000e+00  2.000000e+00  1.750000e+00  1.500000e+00  1.250000e+00
    3:  1.125000e+00  1.000000e+00  8.750000e-01  7.500000e-01  6.250000e-01
    4:  7.031250e-01  6.250000e-01  5.468750e-01  4.687500e-01  3.906250e-01
 
  X = alpha * B * inv ( A ):
 
  Col         1             2             3             4             5       
  Row
 
    1:  1.100000e+01 -2.250000e+00 -1.125000e+00 -7.031250e-01 -4.921875e-01
    2:  2.100000e+01 -4.750000e+00 -2.375000e+00 -1.484375e+00 -1.039062e+00
    3:  3.100000e+01 -7.250000e+00 -3.625000e+00 -2.265625e+00 -1.585937e+00
    4:  4.100000e+01 -9.750000e+00 -4.875000e+00 -3.046875e+00 -2.132812e+00
 
  X = alpha * B * inv ( A' ):
 
  Col         1             2             3             4             5       
  Row
 
    1:  8.203125e-01  3.281250e-01  1.875000e-01  1.250000e-01  3.000000e+00
    2:  2.460937e+00  9.843750e-01  5.625000e-01  3.750000e-01  5.000000e+00
    3:  4.101562e+00  1.640625e+00  9.375000e-01  6.250000e-01  7.000000e+00
    4:  5.742187e+00  2.296875e+00  1.312500e+00  8.750000e-01  9.000000e+00
 
blas3_d_test():
  Normal end of execution.
 
rc= 0
** blas/blas3-s-test.f
 
blas3_s_test():
  FORTRAN77 version
  Test blas3_s().

TEST01
  SGEMM multiplies two matrices.

  1: C = alpha * A  * B  + beta * C;
  2: C = alpha * A' * B  + beta * C;
  3: C = alpha * A  * B' + beta * C;
  4: C = alpha * A' * B' + beta * C;

  We carry out all four calculations, but in each case,
  we choose our input matrices so that we get the same result.
 
  C = alpha * A * B + beta * C:
 
  Col         1             2             3             4             5       
  Row
 
    1:  1.585000e+03  1.660000e+03  1.735000e+03  1.810000e+03  1.885000e+03
    2:  2.875000e+03  3.010000e+03  3.145000e+03  3.280000e+03  3.415000e+03
    3:  4.165000e+03  4.360000e+03  4.555000e+03  4.750000e+03  4.945000e+03
    4:  5.455000e+03  5.710000e+03  5.965000e+03  6.220000e+03  6.475000e+03
 
  C = alpha * A' * B + beta * C:
 
  Col         1             2             3             4             5       
  Row
 
    1:  1.585000e+03  1.660000e+03  1.735000e+03  1.810000e+03  1.885000e+03
    2:  2.875000e+03  3.010000e+03  3.145000e+03  3.280000e+03  3.415000e+03
    3:  4.165000e+03  4.360000e+03  4.555000e+03  4.750000e+03  4.945000e+03
    4:  5.455000e+03  5.710000e+03  5.965000e+03  6.220000e+03  6.475000e+03
 
  C = alpha * A * B' + beta * C:
 
  Col         1             2             3             4             5       
  Row
 
    1:  1.585000e+03  1.660000e+03  1.735000e+03  1.810000e+03  1.885000e+03
    2:  2.875000e+03  3.010000e+03  3.145000e+03  3.280000e+03  3.415000e+03
    3:  4.165000e+03  4.360000e+03  4.555000e+03  4.750000e+03  4.945000e+03
    4:  5.455000e+03  5.710000e+03  5.965000e+03  6.220000e+03  6.475000e+03
 
  C = alpha * A' * B' + beta * C:
 
  Col         1             2             3             4             5       
  Row
 
    1:  1.585000e+03  1.660000e+03  1.735000e+03  1.810000e+03  1.885000e+03
    2:  2.875000e+03  3.010000e+03  3.145000e+03  3.280000e+03  3.415000e+03
    3:  4.165000e+03  4.360000e+03  4.555000e+03  4.750000e+03  4.945000e+03
    4:  5.455000e+03  5.710000e+03  5.965000e+03  6.220000e+03  6.475000e+03

TEST02
  STRMM multiplies a triangular matrix A and a
  rectangular matrix B

  1: B = alpha * A  * B;
  2: B = alpha * A' * B;
 
  B = alpha * A * B:
 
  Col         1             2             3             4             5       
  Row
 
    1:  8.280000e+02  8.560000e+02  8.840000e+02  9.120000e+02  9.400000e+02
    2:  9.700000e+02  1.000000e+03  1.030000e+03  1.060000e+03  1.090000e+03
    3:  9.460000e+02  9.720000e+02  9.980000e+02  1.024000e+03  1.050000e+03
    4:  6.560000e+02  6.720000e+02  6.880000e+02  7.040000e+02  7.200000e+02
 
  B = alpha * A * B:
 
  Col         1             2             3             4             5       
  Row
 
    1:  4.400000e+01  4.800000e+01  5.200000e+01  5.600000e+01  6.000000e+01
    2:  2.340000e+02  2.480000e+02  2.620000e+02  2.760000e+02  2.900000e+02
    3:  6.700000e+02  7.000000e+02  7.300000e+02  7.600000e+02  7.900000e+02
    4:  1.452000e+03  1.504000e+03  1.556000e+03  1.608000e+03  1.660000e+03

TEST03
  STRSM solves a linear system involving a triangular
  matrix A and a rectangular matrix B.

  1: Solve A  * X  = alpha * B;
  2: Solve A' * X  = alpha * B;
  3: Solve X  * A  = alpha * B;
  4: Solve X  * A' = alpha * B;
 
  X = inv ( A ) * alpha * B:
 
  Col         1             2             3             4             5       
  Row
 
    1: -7.109375e+00 -6.927083e+00 -6.744792e+00 -6.562500e+00 -6.380208e+00
    2: -2.843750e+00 -2.770833e+00 -2.697917e+00 -2.625000e+00 -2.552083e+00
    3: -1.625000e+00 -1.583333e+00 -1.541667e+00 -1.500000e+00 -1.458333e+00
    4:  1.025000e+01  1.050000e+01  1.075000e+01  1.100000e+01  1.125000e+01
 
  X = inv ( A' ) * alpha * B:
 
  Col         1             2             3             4             5       
  Row
 
    1:  1.100000e+01  1.200000e+01  1.300000e+01  1.400000e+01  1.500000e+01
    2:  2.250000e+00  2.000000e+00  1.750000e+00  1.500000e+00  1.250000e+00
    3:  1.125000e+00  1.000000e+00  8.750000e-01  7.500000e-01  6.250000e-01
    4:  7.031250e-01  6.250000e-01  5.468750e-01  4.687500e-01  3.906250e-01
 
  X = alpha * B * inv ( A ):
 
  Col         1             2             3             4             5       
  Row
 
    1:  1.100000e+01 -2.250000e+00 -1.125000e+00 -7.031250e-01 -4.921875e-01
    2:  2.100000e+01 -4.750000e+00 -2.375000e+00 -1.484375e+00 -1.039062e+00
    3:  3.100000e+01 -7.250000e+00 -3.625000e+00 -2.265625e+00 -1.585937e+00
    4:  4.100000e+01 -9.750000e+00 -4.875000e+00 -3.046875e+00 -2.132812e+00
 
  X = alpha * B * inv ( A' ):
 
  Col         1             2             3             4             5       
  Row
 
    1:  8.203125e-01  3.281250e-01  1.875000e-01  1.250000e-01  3.000000e+00
    2:  2.460937e+00  9.843750e-01  5.625000e-01  3.750000e-01  5.000000e+00
    3:  4.101562e+00  1.640625e+00  9.375000e-01  6.250000e-01  7.000000e+00
    4:  5.742187e+00  2.296875e+00  1.312500e+00  8.750000e-01  9.000000e+00
 
blas3_s_test():
  Normal end of execution.
 
rc= 0
** blas/blas3-z-test.f
 
blas3_z_test():
  FORTRAN77 version
  Test blas3_z().
 
TEST01
  ZGEMM can combine scale, multiply and add matrices
  using single precision complex arithmetic.
 
  Here, we simply compute C = A * B.
  Because B is inverse ( A ), C should be the identity.
 
  Matrix A:
 
  Col:          1                   2                   3          
  Row
  ---
    1: 5.774e-01           5.774e-01           5.774e-01          
    2: 5.774e-01          -2.887e-01 5.000e-01-2.887e-01-5.000e-01
    3: 5.774e-01          -2.887e-01-5.000e-01-2.887e-01 5.000e-01
 
  Matrix B:
 
  Col:          1                   2                   3          
  Row
  ---
    1: 5.774e-01           5.774e-01           5.774e-01          
    2: 5.774e-01          -2.887e-01-5.000e-01-2.887e-01 5.000e-01
    3: 5.774e-01          -2.887e-01 5.000e-01-2.887e-01-5.000e-01
 
  Product C = A * B:
 
  Col:          1                   2                   3          
  Row
  ---
    1: 1.000e+00          -2.776e-17-1.110e-16 1.110e-16-2.220e-16
    2:-2.776e-17 1.110e-16 1.000e+00          -2.776e-17-1.110e-16
    3: 1.110e-16 2.220e-16-2.776e-17 1.110e-16 1.000e+00          
 
blas3_z_test():
  Normal end of execution.
 
rc= 0
** blas/blas-test.f
 
blas_test():
  FORTRAN77 version
  Test blas().
 
TEST01
  CAXPY adds a multiple of one
  single precision complex vector to another.
 
  X = 
 
       1     2.0    -1.0
       2    -4.0    -2.0
       3     3.0     1.0
       4     2.0     2.0
       5    -1.0    -1.0
 
  Y = 
 
       1    -1.0     0.0
       2     0.0    -3.0
       3     4.0     0.0
       4    -3.0     4.0
       5    -2.0     0.0
 
  The scalar multiplier is:   5.000000e-01 -1.000000e+00
 
  A * X + Y = 
 
       1 -1.000000 -2.500000
       2 -4.000000  0.000000
       3  6.500000 -2.500000
       4  0.000000  3.000000
       5 -3.500000  0.500000
 
test02
  DASUM adds the absolute values of 
  elements of a double precision vector.
 
  X = 
 
       1 -2.000000e+00
       2  4.000000e+00
       3 -6.000000e+00
       4  8.000000e+00
       5 -1.000000e+01
       6  1.200000e+01
       7 -1.400000e+01
       8  1.600000e+01
       9 -1.800000e+01
      10  2.000000e+01
 
  DASUM ( NX, X, 1 ) =     1.100000e+02
  DASUM ( NX/2, X, 2 ) =   5.000000e+01
  DASUM ( 2, X, NX/2 ) =   1.400000e+01
 
  Demonstrate with a matrix A:
 
    1.100000e+01 -1.200000e+01  1.300000e+01 -1.400000e+01
   -2.100000e+01  2.200000e+01 -2.300000e+01  2.400000e+01
    3.100000e+01 -3.200000e+01  3.300000e+01 -3.400000e+01
   -4.100000e+01  4.200000e+01 -4.300000e+01  4.400000e+01
    5.100000e+01 -5.200000e+01  5.300000e+01 -5.400000e+01
 
  DASUM(MA,A(1,2),1) =     1.600000e+02
  DASUM(NA,A(2,1),LDA) =   9.000000e+01
 
TEST03
  SDOT computes the dot product of vectors.
 
  Dot product of X and Y is  -5.500000e+01
 
  Product of row 2 of A and X is   8.500000e+01
 
  Product of column 2 of A and X is   8.500000e+01
 
  Matrix product computed with SDOT:
 
    5.000000e+01  3.000000e+01  1.000000e+01 -1.000000e+01 -3.000000e+01
    6.000000e+01  3.500000e+01  1.000000e+01 -1.500000e+01 -4.000000e+01
    7.000000e+01  4.000000e+01  1.000000e+01 -2.000000e+01 -5.000000e+01
    8.000000e+01  4.500000e+01  1.000000e+01 -2.500000e+01 -6.000000e+01
    9.000000e+01  5.000000e+01  1.000000e+01 -3.000000e+01 -7.000000e+01
 
TEST04
  ZSCAL multiplies a double complex scalar 
  times a vector.
 
  X = 
 
       1    10.0     1.0
       2    20.0     2.0
       3    30.0     3.0
       4    40.0     4.0
       5    50.0     5.0
       6    60.0     6.0
 
  ZSCAL ( N, (  5.0000  0.0000), X, 1 )
 
       1    50.0     5.0
       2   100.0    10.0
       3   150.0    15.0
       4   200.0    20.0
       5   250.0    25.0
       6   300.0    30.0
 
  ZSCAL ( 3, ( -2.0000  1.0000), X, 2 )
 
       1   -21.0     8.0
       2    20.0     2.0
       3   -63.0    24.0
       4    40.0     4.0
       5  -105.0    40.0
       6    60.0     6.0
 
TEST05
  For a general matrix A,
  CGEMV computes y := alpha * A * x + beta * y
 
  Result vector Y = 
 
    2.830000e+02  7.200000e+01
    3.000000e+02  3.000000e+00
    3.000000e+02  3.000000e+00
    3.000000e+02  3.000000e+00
    3.550000e+02 -4.200000e+01
 
TEST06
  For a general symmetric matrix A,
  DSYMV computes 
  y := alpha * A * x + beta * y

  Result vector y:

  3.000000e+01
  6.000000e+01
  9.000000e+01
  1.200000e+02
  1.620000e+02
 
TEST07
  For a general band matrix A,
  SGBMV computes 
  y := alpha * A * x + beta * y

  Result vector y:

  3.000000e+01
  6.000000e+01
  9.000000e+01
  1.200000e+02
  1.620000e+02
 
TEST08
  For a general matrix A,
  ZGEMV computes y := alpha * A * x + beta * y
 
  Result vector Y = 
 
    2.830000e+02  7.200000e+01
    3.000000e+02  3.000000e+00
    3.000000e+02  3.000000e+00
    3.000000e+02  3.000000e+00
    3.550000e+02 -4.200000e+01
 
blas_test():
  Normal end of execution.
 
rc= 0
** blas/cblat1.f
 complex blas test program results
 

 test of subprogram number  1            cdotc 
                                    ----- pass -----

 test of subprogram number  2            cdotu 
                                    ----- pass -----

 test of subprogram number  3            caxpy 
                                    ----- pass -----

 test of subprogram number  4            ccopy 
                                    ----- pass -----

 test of subprogram number  5            cswap 
                                    ----- pass -----

 test of subprogram number  6            scnrm2
                                    ----- pass -----

 test of subprogram number  7            scasum
                                    ----- pass -----

 test of subprogram number  8            cscal 
                                    ----- pass -----

 test of subprogram number  9            csscal
                                    ----- pass -----

 test of subprogram number 10            icamax
                                    ----- pass -----
rc= 0
** blas/dblat1.f
 real blas test program results
 

 test of subprogram number  1             ddot 
                                    ----- pass -----

 test of subprogram number  2            daxpy 
                                    ----- pass -----

 test of subprogram number  3            drotg 
                                    ----- pass -----

 test of subprogram number  4             drot 
                                    ----- pass -----

 test of subprogram number  5            dcopy 
                                    ----- pass -----

 test of subprogram number  6            dswap 
                                    ----- pass -----

 test of subprogram number  7            dnrm2 
                                    ----- pass -----

 test of subprogram number  8            dasum 
                                    ----- pass -----

 test of subprogram number  9            dscal 
                                    ----- pass -----

 test of subprogram number 10            idamax
                                    ----- pass -----
rc= 0
** blas/sblat1.f
 real blas test program results
 

 test of subprogram number  1             sdot 
                                    ----- pass -----

 test of subprogram number  2            saxpy 
                                    ----- pass -----

 test of subprogram number  3            srotg 
                                    ----- pass -----

 test of subprogram number  4             srot 
                                    ----- pass -----

 test of subprogram number  5            scopy 
                                    ----- pass -----

 test of subprogram number  6            sswap 
                                    ----- pass -----

 test of subprogram number  7            snrm2 
                                    ----- pass -----

 test of subprogram number  8            sasum 
                                    ----- pass -----

 test of subprogram number  9            sscal 
                                    ----- pass -----

 test of subprogram number 10            isamax
                                    ----- pass -----
rc= 0
** blas/zblat1.f
 complex blas test program results
 

 test of subprogram number  1            zdotc 
                                    ----- pass -----

 test of subprogram number  2            zdotu 
                                    ----- pass -----

 test of subprogram number  3            zaxpy 
                                    ----- pass -----

 test of subprogram number  4            zcopy 
                                    ----- pass -----

 test of subprogram number  5            zswap 
                                    ----- pass -----

 test of subprogram number  6            dznrm2
                                    ----- pass -----

 test of subprogram number  7            dzasum
                                    ----- pass -----

 test of subprogram number  8            zscal 
                                    ----- pass -----

 test of subprogram number  9            zdscal
                                    ----- pass -----

 test of subprogram number 10            izamax
                                    ----- pass -----
rc= 0
** dist/axxbc.f
 2.220446049250313e-16
-solution of 10 by  5 matrix equation
 maximal error =   2.459144e-14
-solution of 10 by  5 matrix equation
 maximal error =   2.298162e-14
rc= 0
** dist/cblat1.f
 complex blas test program results
 

 test of subprogram number  1            cdotc 
                                    ----- pass -----

 test of subprogram number  2            cdotu 
                                    ----- pass -----

 test of subprogram number  3            caxpy 
                                    ----- pass -----

 test of subprogram number  4            ccopy 
                                    ----- pass -----

 test of subprogram number  5            cswap 
                                    ----- pass -----

 test of subprogram number  6            scnrm2
                                    ----- pass -----

 test of subprogram number  7            scasum
                                    ----- pass -----

 test of subprogram number  8            cscal 
                                    ----- pass -----

 test of subprogram number  9            csscal
                                    ----- pass -----

 test of subprogram number 10            icamax
                                    ----- pass -----
rc= 0
** dist/cnsimp.f

 Ritz values (Real, Imag) and relative residuals
 
               col   1       col   2       col   3       
  row   1:    7.16197e+02   1.02958e+03   1.16484e-06
  row   2:    7.16198e+02  -1.02959e+03   2.09602e-06
  row   3:    6.87586e+02  -1.02959e+03   1.77192e-05
  row   4:    6.87586e+02   1.02959e+03   6.66033e-06
  
 
_NSIMP 
====== 
 
 Size of the matrix is 100
 The number of Ritz values requested is 4
 The number of Arnoldi vectors generated (NCV) is 20
 What portion of the spectrum: LM
 The number of converged Ritz values is 4
 The number of Implicit Arnoldi update iterations taken is 11
 The number of OP*x is 177
 The convergence criterion is  5.960464e-08
 
rc= 0
** dist/dblat1.f
 real blas test program results
 

 test of subprogram number  1             ddot 
                                    ----- pass -----

 test of subprogram number  2            daxpy 
                                    ----- pass -----

 test of subprogram number  3            drotg 
                                    ----- pass -----

 test of subprogram number  4             drot 
                                    ----- pass -----

 test of subprogram number  5            dcopy 
                                    ----- pass -----

 test of subprogram number  6            dswap 
                                    ----- pass -----

 test of subprogram number  7            dnrm2 
                                    ----- pass -----

 test of subprogram number  8            dasum 
                                    ----- pass -----

 test of subprogram number  9            dscal 
                                    ----- pass -----

 test of subprogram number 10            idamax
                                    ----- pass -----
rc= 0
** dist/dlamch.f
 1.110223024625157e-16
 2.225073858507201e-308
 2.000000000000000e+00
 2.220446049250313e-16
 5.300000000000000e+01
 1.000000000000000e+00
-1.021000000000000e+03
 2.225073858507201e-308
 1.024000000000000e+03
 1.797693134862316e+308
rc= 0
** dist/dlap-test.f

                * random matrix of size  441*
                number of non-zeros & density = 33173   1.7057194e-01
                error tolerance =    1.0000000e-06

 dsjac  : itol = 11   isym = 0
     iter =    0 error estimate =    1.0000000e+00
     iter =    1 error estimate =    8.2715387e-01
     iter =    2 error estimate =    8.0930023e-01
     iter =    3 error estimate =    7.8935428e-01
     iter =    4 error estimate =    7.7061059e-01
     iter =    5 error estimate =    7.5200301e-01
     iter =    6 error estimate =    7.3389336e-01
     iter =    7 error estimate =    7.1619966e-01
     iter =    8 error estimate =    6.9893625e-01
     iter =    9 error estimate =    6.8208762e-01
     iter =   10 error estimate =    6.6564542e-01
     iter =   11 error estimate =    6.4959948e-01
     iter =   12 error estimate =    6.3394036e-01
     iter =   13 error estimate =    6.1865870e-01
     iter =   14 error estimate =    6.0374543e-01
     iter =   15 error estimate =    5.8919165e-01
     iter =   16 error estimate =    5.7498871e-01
     iter =   17 error estimate =    5.6112813e-01
     iter =   18 error estimate =    5.4760168e-01
     iter =   19 error estimate =    5.3440130e-01
     iter =   20 error estimate =    5.2151912e-01
     iter =   21 error estimate =    5.0894747e-01
     iter =   22 error estimate =    4.9667888e-01
     iter =   23 error estimate =    4.8470603e-01
     iter =   24 error estimate =    4.7302179e-01
     iter =   25 error estimate =    4.6161921e-01
     iter =   26 error estimate =    4.5049150e-01
     iter =   27 error estimate =    4.3963204e-01
     iter =   28 error estimate =    4.2903435e-01
     iter =   29 error estimate =    4.1869212e-01
     iter =   30 error estimate =    4.0859921e-01
     iter =   31 error estimate =    3.9874959e-01
     iter =   32 error estimate =    3.8913741e-01
     iter =   33 error estimate =    3.7975693e-01
     iter =   34 error estimate =    3.7060258e-01
     iter =   35 error estimate =    3.6166890e-01
     iter =   36 error estimate =    3.5295058e-01
     iter =   37 error estimate =    3.4444241e-01
     iter =   38 error estimate =    3.3613935e-01
     iter =   39 error estimate =    3.2803643e-01
     iter =   40 error estimate =    3.2012885e-01
     iter =   41 error estimate =    3.1241188e-01
     iter =   42 error estimate =    3.0488094e-01
     iter =   43 error estimate =    2.9753153e-01
     iter =   44 error estimate =    2.9035929e-01
     iter =   45 error estimate =    2.8335994e-01
     iter =   46 error estimate =    2.7652932e-01
     iter =   47 error estimate =    2.6986335e-01
     iter =   48 error estimate =    2.6335808e-01
     iter =   49 error estimate =    2.5700962e-01
     iter =   50 error estimate =    2.5081419e-01
     iter =   51 error estimate =    2.4476811e-01
     iter =   52 error estimate =    2.3886777e-01
     iter =   53 error estimate =    2.3310967e-01
     iter =   54 error estimate =    2.2749037e-01
     iter =   55 error estimate =    2.2200653e-01
     iter =   56 error estimate =    2.1665488e-01
     iter =   57 error estimate =    2.1143224e-01
     iter =   58 error estimate =    2.0633549e-01
     iter =   59 error estimate =    2.0136160e-01
     iter =   60 error estimate =    1.9650762e-01
     iter =   61 error estimate =    1.9177064e-01
     iter =   62 error estimate =    1.8714785e-01
     iter =   63 error estimate =    1.8263650e-01
     iter =   64 error estimate =    1.7823390e-01
     iter =   65 error estimate =    1.7393742e-01
     iter =   66 error estimate =    1.6974452e-01
     iter =   67 error estimate =    1.6565269e-01
     iter =   68 error estimate =    1.6165950e-01
     iter =   69 error estimate =    1.5776256e-01
     iter =   70 error estimate =    1.5395957e-01
     iter =   71 error estimate =    1.5024825e-01
     iter =   72 error estimate =    1.4662639e-01
     iter =   73 error estimate =    1.4309184e-01
     iter =   74 error estimate =    1.3964249e-01
     iter =   75 error estimate =    1.3627630e-01
     iter =   76 error estimate =    1.3299125e-01
     iter =   77 error estimate =    1.2978538e-01
     iter =   78 error estimate =    1.2665680e-01
     iter =   79 error estimate =    1.2360363e-01
     iter =   80 error estimate =    1.2062407e-01
     iter =   81 error estimate =    1.1771633e-01
     iter =   82 error estimate =    1.1487868e-01
     iter =   83 error estimate =    1.1210943e-01
     iter =   84 error estimate =    1.0940694e-01
     iter =   85 error estimate =    1.0676960e-01
     iter =   86 error estimate =    1.0419583e-01
     iter =   87 error estimate =    1.0168411e-01
     iter =   88 error estimate =    9.9232927e-02
     iter =   89 error estimate =    9.6840836e-02
     iter =   90 error estimate =    9.4506409e-02
     iter =   91 error estimate =    9.2228254e-02
     iter =   92 error estimate =    9.0005017e-02
     iter =   93 error estimate =    8.7835372e-02
     iter =   94 error estimate =    8.5718029e-02
     iter =   95 error estimate =    8.3651726e-02
     iter =   96 error estimate =    8.1635232e-02
     iter =   97 error estimate =    7.9667348e-02
     iter =   98 error estimate =    7.7746902e-02
     iter =   99 error estimate =    7.5872749e-02
     iter =  100 error estimate =    7.4043775e-02
     iter =  101 error estimate =    7.2258889e-02
     iter =  102 error estimate =    7.0517029e-02
     iter =  103 error estimate =    6.8817159e-02
     iter =  104 error estimate =    6.7158265e-02
     iter =  105 error estimate =    6.5539360e-02
     iter =  106 error estimate =    6.3959480e-02
     iter =  107 error estimate =    6.2417684e-02
     iter =  108 error estimate =    6.0913055e-02
     iter =  109 error estimate =    5.9444696e-02
     iter =  110 error estimate =    5.8011733e-02
     iter =  111 error estimate =    5.6613313e-02
     iter =  112 error estimate =    5.5248603e-02
     iter =  113 error estimate =    5.3916790e-02
     iter =  114 error estimate =    5.2617082e-02
     iter =  115 error estimate =    5.1348704e-02
     iter =  116 error estimate =    5.0110901e-02
     iter =  117 error estimate =    4.8902937e-02
     iter =  118 error estimate =    4.7724092e-02
     iter =  119 error estimate =    4.6573663e-02
     iter =  120 error estimate =    4.5450967e-02
     iter =  121 error estimate =    4.4355334e-02
     iter =  122 error estimate =    4.3286113e-02
     iter =  123 error estimate =    4.2242666e-02
     iter =  124 error estimate =    4.1224372e-02
     iter =  125 error estimate =    4.0230625e-02
     iter =  126 error estimate =    3.9260832e-02
     iter =  127 error estimate =    3.8314418e-02
     iter =  128 error estimate =    3.7390818e-02
     iter =  129 error estimate =    3.6489481e-02
     iter =  130 error estimate =    3.5609873e-02
     iter =  131 error estimate =    3.4751467e-02
     iter =  132 error estimate =    3.3913755e-02
     iter =  133 error estimate =    3.3096236e-02
     iter =  134 error estimate =    3.2298424e-02
     iter =  135 error estimate =    3.1519844e-02
     iter =  136 error estimate =    3.0760033e-02
     iter =  137 error estimate =    3.0018537e-02
     iter =  138 error estimate =    2.9294916e-02
     iter =  139 error estimate =    2.8588738e-02
     iter =  140 error estimate =    2.7899583e-02
     iter =  141 error estimate =    2.7227041e-02
     iter =  142 error estimate =    2.6570710e-02
     iter =  143 error estimate =    2.5930202e-02
     iter =  144 error estimate =    2.5305133e-02
     iter =  145 error estimate =    2.4695132e-02
     iter =  146 error estimate =    2.4099836e-02
     iter =  147 error estimate =    2.3518890e-02
     iter =  148 error estimate =    2.2951947e-02
     iter =  149 error estimate =    2.2398672e-02
     iter =  150 error estimate =    2.1858734e-02
     iter =  151 error estimate =    2.1331811e-02
     iter =  152 error estimate =    2.0817590e-02
     iter =  153 error estimate =    2.0315765e-02
     iter =  154 error estimate =    1.9826037e-02
     iter =  155 error estimate =    1.9348114e-02
     iter =  156 error estimate =    1.8881712e-02
     iter =  157 error estimate =    1.8426553e-02
     iter =  158 error estimate =    1.7982366e-02
     iter =  159 error estimate =    1.7548886e-02
     iter =  160 error estimate =    1.7125856e-02
     iter =  161 error estimate =    1.6713023e-02
     iter =  162 error estimate =    1.6310142e-02
     iter =  163 error estimate =    1.5916973e-02
     iter =  164 error estimate =    1.5533281e-02
     iter =  165 error estimate =    1.5158839e-02
     iter =  166 error estimate =    1.4793423e-02
     iter =  167 error estimate =    1.4436815e-02
     iter =  168 error estimate =    1.4088804e-02
     iter =  169 error estimate =    1.3749182e-02
     iter =  170 error estimate =    1.3417746e-02
     iter =  171 error estimate =    1.3094301e-02
     iter =  172 error estimate =    1.2778652e-02
     iter =  173 error estimate =    1.2470612e-02
     iter =  174 error estimate =    1.2169998e-02
     iter =  175 error estimate =    1.1876630e-02
     iter =  176 error estimate =    1.1590334e-02
     iter =  177 error estimate =    1.1310940e-02
     iter =  178 error estimate =    1.1038280e-02
     iter =  179 error estimate =    1.0772193e-02
     iter =  180 error estimate =    1.0512521e-02
     iter =  181 error estimate =    1.0259108e-02
     iter =  182 error estimate =    1.0011804e-02
     iter =  183 error estimate =    9.7704610e-03
     iter =  184 error estimate =    9.5349360e-03
     iter =  185 error estimate =    9.3050886e-03
     iter =  186 error estimate =    9.0807818e-03
     iter =  187 error estimate =    8.8618822e-03
     iter =  188 error estimate =    8.6482593e-03
     iter =  189 error estimate =    8.4397859e-03
     iter =  190 error estimate =    8.2363380e-03
     iter =  191 error estimate =    8.0377943e-03
     iter =  192 error estimate =    7.8440367e-03
     iter =  193 error estimate =    7.6549498e-03
     iter =  194 error estimate =    7.4704209e-03
     iter =  195 error estimate =    7.2903403e-03
     iter =  196 error estimate =    7.1146007e-03
     iter =  197 error estimate =    6.9430975e-03
     iter =  198 error estimate =    6.7757284e-03
     iter =  199 error estimate =    6.6123939e-03
     iter =  200 error estimate =    6.4529968e-03
     iter =  201 error estimate =    6.2974420e-03
     iter =  202 error estimate =    6.1456370e-03
     iter =  203 error estimate =    5.9974914e-03
     iter =  204 error estimate =    5.8529170e-03
     iter =  205 error estimate =    5.7118276e-03
     iter =  206 error estimate =    5.5741394e-03
     iter =  207 error estimate =    5.4397702e-03
     iter =  208 error estimate =    5.3086401e-03
     iter =  209 error estimate =    5.1806710e-03
     iter =  210 error estimate =    5.0557866e-03
     iter =  211 error estimate =    4.9339128e-03
     iter =  212 error estimate =    4.8149768e-03
     iter =  213 error estimate =    4.6989078e-03
     iter =  214 error estimate =    4.5856368e-03
     iter =  215 error estimate =    4.4750963e-03
     iter =  216 error estimate =    4.3672204e-03
     iter =  217 error estimate =    4.2619450e-03
     iter =  218 error estimate =    4.1592073e-03
     iter =  219 error estimate =    4.0589462e-03
     iter =  220 error estimate =    3.9611020e-03
     iter =  221 error estimate =    3.8656164e-03
     iter =  222 error estimate =    3.7724326e-03
     iter =  223 error estimate =    3.6814950e-03
     iter =  224 error estimate =    3.5927496e-03
     iter =  225 error estimate =    3.5061434e-03
     iter =  226 error estimate =    3.4216249e-03
     iter =  227 error estimate =    3.3391439e-03
     iter =  228 error estimate =    3.2586511e-03
     iter =  229 error estimate =    3.1800986e-03
     iter =  230 error estimate =    3.1034397e-03
     iter =  231 error estimate =    3.0286288e-03
     iter =  232 error estimate =    2.9556212e-03
     iter =  233 error estimate =    2.8843736e-03
     iter =  234 error estimate =    2.8148434e-03
     iter =  235 error estimate =    2.7469893e-03
     iter =  236 error estimate =    2.6807708e-03
     iter =  237 error estimate =    2.6161487e-03
     iter =  238 error estimate =    2.5530843e-03
     iter =  239 error estimate =    2.4915401e-03
     iter =  240 error estimate =    2.4314795e-03
     iter =  241 error estimate =    2.3728667e-03
     iter =  242 error estimate =    2.3156668e-03
     iter =  243 error estimate =    2.2598457e-03
     iter =  244 error estimate =    2.2053703e-03
     iter =  245 error estimate =    2.1522081e-03
     iter =  246 error estimate =    2.1003273e-03
     iter =  247 error estimate =    2.0496972e-03
     iter =  248 error estimate =    2.0002876e-03
     iter =  249 error estimate =    1.9520690e-03
     iter =  250 error estimate =    1.9050128e-03
     iter =  251 error estimate =    1.8590909e-03
     iter =  252 error estimate =    1.8142760e-03
     iter =  253 error estimate =    1.7705414e-03
     iter =  254 error estimate =    1.7278610e-03
     iter =  255 error estimate =    1.6862095e-03
     iter =  256 error estimate =    1.6455621e-03
     iter =  257 error estimate =    1.6058945e-03
     iter =  258 error estimate =    1.5671831e-03
     iter =  259 error estimate =    1.5294048e-03
     iter =  260 error estimate =    1.4925373e-03
     iter =  261 error estimate =    1.4565584e-03
     iter =  262 error estimate =    1.4214469e-03
     iter =  263 error estimate =    1.3871818e-03
     iter =  264 error estimate =    1.3537426e-03
     iter =  265 error estimate =    1.3211096e-03
     iter =  266 error estimate =    1.2892631e-03
     iter =  267 error estimate =    1.2581844e-03
     iter =  268 error estimate =    1.2278548e-03
     iter =  269 error estimate =    1.1982564e-03
     iter =  270 error estimate =    1.1693714e-03
     iter =  271 error estimate =    1.1411828e-03
     iter =  272 error estimate =    1.1136736e-03
     iter =  273 error estimate =    1.0868276e-03
     iter =  274 error estimate =    1.0606287e-03
     iter =  275 error estimate =    1.0350614e-03
     iter =  276 error estimate =    1.0101104e-03
     iter =  277 error estimate =    9.8576088e-04
     iter =  278 error estimate =    9.6199831e-04
     iter =  279 error estimate =    9.3880855e-04
     iter =  280 error estimate =    9.1617781e-04
     iter =  281 error estimate =    8.9409259e-04
     iter =  282 error estimate =    8.7253976e-04
     iter =  283 error estimate =    8.5150647e-04
     iter =  284 error estimate =    8.3098021e-04
     iter =  285 error estimate =    8.1094876e-04
     iter =  286 error estimate =    7.9140017e-04
     iter =  287 error estimate =    7.7232282e-04
     iter =  288 error estimate =    7.5370535e-04
     iter =  289 error estimate =    7.3553667e-04
     iter =  290 error estimate =    7.1780595e-04
     iter =  291 error estimate =    7.0050266e-04
     iter =  292 error estimate =    6.8361647e-04
     iter =  293 error estimate =    6.6713733e-04
     iter =  294 error estimate =    6.5105544e-04
     iter =  295 error estimate =    6.3536122e-04
     iter =  296 error estimate =    6.2004532e-04
     iter =  297 error estimate =    6.0509862e-04
     iter =  298 error estimate =    5.9051222e-04
     iter =  299 error estimate =    5.7627744e-04
     iter =  300 error estimate =    5.6238580e-04
     iter =  301 error estimate =    5.4882903e-04
     iter =  302 error estimate =    5.3559906e-04
     iter =  303 error estimate =    5.2268800e-04
     iter =  304 error estimate =    5.1008818e-04
     iter =  305 error estimate =    4.9779209e-04
     iter =  306 error estimate =    4.8579240e-04
     iter =  307 error estimate =    4.7408198e-04
     iter =  308 error estimate =    4.6265385e-04
     iter =  309 error estimate =    4.5150120e-04
     iter =  310 error estimate =    4.4061739e-04
     iter =  311 error estimate =    4.2999595e-04
     iter =  312 error estimate =    4.1963055e-04
     iter =  313 error estimate =    4.0951501e-04
     iter =  314 error estimate =    3.9964331e-04
     iter =  315 error estimate =    3.9000959e-04
     iter =  316 error estimate =    3.8060809e-04
     iter =  317 error estimate =    3.7143322e-04
     iter =  318 error estimate =    3.6247952e-04
     iter =  319 error estimate =    3.5374165e-04
     iter =  320 error estimate =    3.4521442e-04
     iter =  321 error estimate =    3.3689274e-04
     iter =  322 error estimate =    3.2877167e-04
     iter =  323 error estimate =    3.2084636e-04
     iter =  324 error estimate =    3.1311209e-04
     iter =  325 error estimate =    3.0556427e-04
     iter =  326 error estimate =    2.9819839e-04
     iter =  327 error estimate =    2.9101008e-04
     iter =  328 error estimate =    2.8399504e-04
     iter =  329 error estimate =    2.7714911e-04
     iter =  330 error estimate =    2.7046820e-04
     iter =  331 error estimate =    2.6394835e-04
     iter =  332 error estimate =    2.5758566e-04
     iter =  333 error estimate =    2.5137634e-04
     iter =  334 error estimate =    2.4531671e-04
     iter =  335 error estimate =    2.3940315e-04
     iter =  336 error estimate =    2.3363214e-04
     iter =  337 error estimate =    2.2800025e-04
     iter =  338 error estimate =    2.2250412e-04
     iter =  339 error estimate =    2.1714047e-04
     iter =  340 error estimate =    2.1190612e-04
     iter =  341 error estimate =    2.0679795e-04
     iter =  342 error estimate =    2.0181292e-04
     iter =  343 error estimate =    1.9694805e-04
     iter =  344 error estimate =    1.9220046e-04
     iter =  345 error estimate =    1.8756731e-04
     iter =  346 error estimate =    1.8304585e-04
     iter =  347 error estimate =    1.7863338e-04
     iter =  348 error estimate =    1.7432727e-04
     iter =  349 error estimate =    1.7012497e-04
     iter =  350 error estimate =    1.6602397e-04
     iter =  351 error estimate =    1.6202183e-04
     iter =  352 error estimate =    1.5811616e-04
     iter =  353 error estimate =    1.5430464e-04
     iter =  354 error estimate =    1.5058500e-04
     iter =  355 error estimate =    1.4695502e-04
     iter =  356 error estimate =    1.4341255e-04
     iter =  357 error estimate =    1.3995548e-04
     iter =  358 error estimate =    1.3658174e-04
     iter =  359 error estimate =    1.3328932e-04
     iter =  360 error estimate =    1.3007627e-04
     iter =  361 error estimate =    1.2694068e-04
     iter =  362 error estimate =    1.2388067e-04
     iter =  363 error estimate =    1.2089442e-04
     iter =  364 error estimate =    1.1798017e-04
     iter =  365 error estimate =    1.1513616e-04
     iter =  366 error estimate =    1.1236071e-04
     iter =  367 error estimate =    1.0965216e-04
     iter =  368 error estimate =    1.0700890e-04
     iter =  369 error estimate =    1.0442937e-04
     iter =  370 error estimate =    1.0191201e-04
     iter =  371 error estimate =    9.9455340e-05
     iter =  372 error estimate =    9.7057887e-05
     iter =  373 error estimate =    9.4718228e-05
     iter =  374 error estimate =    9.2434967e-05
     iter =  375 error estimate =    9.0206747e-05
     iter =  376 error estimate =    8.8032239e-05
     iter =  377 error estimate =    8.5910150e-05
     iter =  378 error estimate =    8.3839216e-05
     iter =  379 error estimate =    8.1818203e-05
     iter =  380 error estimate =    7.9845908e-05
     iter =  381 error estimate =    7.7921157e-05
     iter =  382 error estimate =    7.6042804e-05
     iter =  383 error estimate =    7.4209730e-05
     iter =  384 error estimate =    7.2420844e-05
     iter =  385 error estimate =    7.0675080e-05
     iter =  386 error estimate =    6.8971400e-05
     iter =  387 error estimate =    6.7308788e-05
     iter =  388 error estimate =    6.5686254e-05
     iter =  389 error estimate =    6.4102833e-05
     iter =  390 error estimate =    6.2557582e-05
     iter =  391 error estimate =    6.1049581e-05
     iter =  392 error estimate =    5.9577930e-05
     iter =  393 error estimate =    5.8141756e-05
     iter =  394 error estimate =    5.6740201e-05
     iter =  395 error estimate =    5.5372432e-05
     iter =  396 error estimate =    5.4037634e-05
     iter =  397 error estimate =    5.2735013e-05
     iter =  398 error estimate =    5.1463792e-05
     iter =  399 error estimate =    5.0223216e-05
     iter =  400 error estimate =    4.9012544e-05
     iter =  401 error estimate =    4.7831057e-05
     iter =  402 error estimate =    4.6678050e-05
     iter =  403 error estimate =    4.5552837e-05
     iter =  404 error estimate =    4.4454749e-05
     iter =  405 error estimate =    4.3383131e-05
     iter =  406 error estimate =    4.2337345e-05
     iter =  407 error estimate =    4.1316769e-05
     iter =  408 error estimate =    4.0320794e-05
     iter =  409 error estimate =    3.9348828e-05
     iter =  410 error estimate =    3.8400293e-05
     iter =  411 error estimate =    3.7474622e-05
     iter =  412 error estimate =    3.6571266e-05
     iter =  413 error estimate =    3.5689686e-05
     iter =  414 error estimate =    3.4829357e-05
     iter =  415 error estimate =    3.3989766e-05
     iter =  416 error estimate =    3.3170415e-05
     iter =  417 error estimate =    3.2370815e-05
     iter =  418 error estimate =    3.1590490e-05
     iter =  419 error estimate =    3.0828976e-05
     iter =  420 error estimate =    3.0085818e-05
     iter =  421 error estimate =    2.9360575e-05
     iter =  422 error estimate =    2.8652814e-05
     iter =  423 error estimate =    2.7962115e-05
     iter =  424 error estimate =    2.7288065e-05
     iter =  425 error estimate =    2.6630264e-05
     iter =  426 error estimate =    2.5988320e-05
     iter =  427 error estimate =    2.5361850e-05
     iter =  428 error estimate =    2.4750482e-05
     iter =  429 error estimate =    2.4153851e-05
     iter =  430 error estimate =    2.3571603e-05
     iter =  431 error estimate =    2.3003390e-05
     iter =  432 error estimate =    2.2448875e-05
     iter =  433 error estimate =    2.1907726e-05
     iter =  434 error estimate =    2.1379622e-05
     iter =  435 error estimate =    2.0864249e-05
     iter =  436 error estimate =    2.0361299e-05
     iter =  437 error estimate =    1.9870474e-05
     iter =  438 error estimate =    1.9391480e-05
     iter =  439 error estimate =    1.8924032e-05
     iter =  440 error estimate =    1.8467853e-05
     iter =  441 error estimate =    1.8022670e-05
     iter =  442 error estimate =    1.7588219e-05
     iter =  443 error estimate =    1.7164241e-05
     iter =  444 error estimate =    1.6750482e-05
     iter =  445 error estimate =    1.6346698e-05
     iter =  446 error estimate =    1.5952648e-05
     iter =  447 error estimate =    1.5568096e-05
     iter =  448 error estimate =    1.5192815e-05
     iter =  449 error estimate =    1.4826579e-05
     iter =  450 error estimate =    1.4469172e-05
     iter =  451 error estimate =    1.4120381e-05
     iter =  452 error estimate =    1.3779998e-05
     iter =  453 error estimate =    1.3447820e-05
     iter =  454 error estimate =    1.3123649e-05
     iter =  455 error estimate =    1.2807293e-05
     iter =  456 error estimate =    1.2498563e-05
     iter =  457 error estimate =    1.2197274e-05
     iter =  458 error estimate =    1.1903249e-05
     iter =  459 error estimate =    1.1616312e-05
     iter =  460 error estimate =    1.1336291e-05
     iter =  461 error estimate =    1.1063020e-05
     iter =  462 error estimate =    1.0796337e-05
     iter =  463 error estimate =    1.0536083e-05
     iter =  464 error estimate =    1.0282102e-05
     iter =  465 error estimate =    1.0034243e-05
     iter =  466 error estimate =    9.7923597e-06
     iter =  467 error estimate =    9.5563069e-06
     iter =  468 error estimate =    9.3259443e-06
     iter =  469 error estimate =    9.1011348e-06
     iter =  470 error estimate =    8.8817445e-06
     iter =  471 error estimate =    8.6676427e-06
     iter =  472 error estimate =    8.4587021e-06
     iter =  473 error estimate =    8.2547982e-06
     iter =  474 error estimate =    8.0558095e-06
     iter =  475 error estimate =    7.8616177e-06
     iter =  476 error estimate =    7.6721069e-06
     iter =  477 error estimate =    7.4871645e-06
     iter =  478 error estimate =    7.3066803e-06
     iter =  479 error estimate =    7.1305468e-06
     iter =  480 error estimate =    6.9586591e-06
     iter =  481 error estimate =    6.7909150e-06
     iter =  482 error estimate =    6.6272144e-06
     iter =  483 error estimate =    6.4674600e-06
     iter =  484 error estimate =    6.3115566e-06
     iter =  485 error estimate =    6.1594113e-06
     iter =  486 error estimate =    6.0109337e-06
     iter =  487 error estimate =    5.8660352e-06
     iter =  488 error estimate =    5.7246296e-06
     iter =  489 error estimate =    5.5866328e-06
     iter =  490 error estimate =    5.4519624e-06
     iter =  491 error estimate =    5.3205384e-06
     iter =  492 error estimate =    5.1922825e-06
     iter =  493 error estimate =    5.0671183e-06
     iter =  494 error estimate =    4.9449712e-06
     iter =  495 error estimate =    4.8257687e-06
     iter =  496 error estimate =    4.7094396e-06
     iter =  497 error estimate =    4.5959147e-06
     iter =  498 error estimate =    4.4851264e-06
     iter =  499 error estimate =    4.3770087e-06
     iter =  500 error estimate =    4.2714974e-06
     iter =  501 error estimate =    4.1685294e-06
     iter =  502 error estimate =    4.0680436e-06
     iter =  503 error estimate =    3.9699801e-06
     iter =  504 error estimate =    3.8742805e-06
     iter =  505 error estimate =    3.7808878e-06
     iter =  506 error estimate =    3.6897464e-06
     iter =  507 error estimate =    3.6008020e-06
     iter =  508 error estimate =    3.5140018e-06
     iter =  509 error estimate =    3.4292939e-06
     iter =  510 error estimate =    3.3466279e-06
     iter =  511 error estimate =    3.2659547e-06
     iter =  512 error estimate =    3.1872262e-06
     iter =  513 error estimate =    3.1103955e-06
     iter =  514 error estimate =    3.0354169e-06
     iter =  515 error estimate =    2.9622457e-06
     iter =  516 error estimate =    2.8908383e-06
     iter =  517 error estimate =    2.8211523e-06
     iter =  518 error estimate =    2.7531461e-06
     iter =  519 error estimate =    2.6867793e-06
     iter =  520 error estimate =    2.6220123e-06
     iter =  521 error estimate =    2.5588065e-06
     iter =  522 error estimate =    2.4971244e-06
     iter =  523 error estimate =    2.4369292e-06
     iter =  524 error estimate =    2.3781850e-06
     iter =  525 error estimate =    2.3208569e-06
     iter =  526 error estimate =    2.2649108e-06
     iter =  527 error estimate =    2.2103132e-06
     iter =  528 error estimate =    2.1570318e-06
     iter =  529 error estimate =    2.1050348e-06
     iter =  530 error estimate =    2.0542912e-06
     iter =  531 error estimate =    2.0047709e-06
     iter =  532 error estimate =    1.9564442e-06
     iter =  533 error estimate =    1.9092825e-06
     iter =  534 error estimate =    1.8632577e-06
     iter =  535 error estimate =    1.8183424e-06
     iter =  536 error estimate =    1.7745097e-06
     iter =  537 error estimate =    1.7317337e-06
     iter =  538 error estimate =    1.6899889e-06
     iter =  539 error estimate =    1.6492503e-06
     iter =  540 error estimate =    1.6094938e-06
     iter =  541 error estimate =    1.5706956e-06
     iter =  542 error estimate =    1.5328327e-06
     iter =  543 error estimate =    1.4958825e-06
     iter =  544 error estimate =    1.4598231e-06
     iter =  545 error estimate =    1.4246328e-06
     iter =  546 error estimate =    1.3902909e-06
     iter =  547 error estimate =    1.3567768e-06
     iter =  548 error estimate =    1.3240706e-06
     iter =  549 error estimate =    1.2921528e-06
     iter =  550 error estimate =    1.2610044e-06
     iter =  551 error estimate =    1.2306068e-06
     iter =  552 error estimate =    1.2009420e-06
     iter =  553 error estimate =    1.1719924e-06
     iter =  554 error estimate =    1.1437405e-06
     iter =  555 error estimate =    1.1161697e-06
     iter =  556 error estimate =    1.0892635e-06
     iter =  557 error estimate =    1.0630060e-06
     iter =  558 error estimate =    1.0373813e-06
     iter =  559 error estimate =    1.0123744e-06
     iter =  560 error estimate =    9.8797028e-07
 ***************** passed ***********************
 **** dsjac  quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count = 560 stop test =  9.87970e-07

 dsgs   : itol = 11   isym = 0
     iter =    0 error estimate =    1.0000000e+00
     iter =    1 error estimate =    8.6706647e-01
     iter =    2 error estimate =    8.3312867e-01
     iter =    3 error estimate =    7.9519169e-01
     iter =    4 error estimate =    7.5842238e-01
     iter =    5 error estimate =    7.2333258e-01
     iter =    6 error estimate =    6.8987211e-01
     iter =    7 error estimate =    6.5796040e-01
     iter =    8 error estimate =    6.2752488e-01
     iter =    9 error estimate =    5.9849722e-01
     iter =   10 error estimate =    5.7081230e-01
     iter =   11 error estimate =    5.4440802e-01
     iter =   12 error estimate =    5.1922512e-01
     iter =   13 error estimate =    4.9520712e-01
     iter =   14 error estimate =    4.7230013e-01
     iter =   15 error estimate =    4.5045276e-01
     iter =   16 error estimate =    4.2961599e-01
     iter =   17 error estimate =    4.0974308e-01
     iter =   18 error estimate =    3.9078943e-01
     iter =   19 error estimate =    3.7271253e-01
     iter =   20 error estimate =    3.5547183e-01
     iter =   21 error estimate =    3.3902863e-01
     iter =   22 error estimate =    3.2334605e-01
     iter =   23 error estimate =    3.0838890e-01
     iter =   24 error estimate =    2.9412364e-01
     iter =   25 error estimate =    2.8051825e-01
     iter =   26 error estimate =    2.6754220e-01
     iter =   27 error estimate =    2.5516640e-01
     iter =   28 error estimate =    2.4336307e-01
     iter =   29 error estimate =    2.3210573e-01
     iter =   30 error estimate =    2.2136912e-01
     iter =   31 error estimate =    2.1112917e-01
     iter =   32 error estimate =    2.0136288e-01
     iter =   33 error estimate =    1.9204836e-01
     iter =   34 error estimate =    1.8316470e-01
     iter =   35 error estimate =    1.7469198e-01
     iter =   36 error estimate =    1.6661119e-01
     iter =   37 error estimate =    1.5890419e-01
     iter =   38 error estimate =    1.5155370e-01
     iter =   39 error estimate =    1.4454322e-01
     iter =   40 error estimate =    1.3785703e-01
     iter =   41 error estimate =    1.3148012e-01
     iter =   42 error estimate =    1.2539819e-01
     iter =   43 error estimate =    1.1959760e-01
     iter =   44 error estimate =    1.1406533e-01
     iter =   45 error estimate =    1.0878896e-01
     iter =   46 error estimate =    1.0375667e-01
     iter =   47 error estimate =    9.8957156e-02
     iter =   48 error estimate =    9.4379657e-02
     iter =   49 error estimate =    9.0013900e-02
     iter =   50 error estimate =    8.5850092e-02
     iter =   51 error estimate =    8.1878891e-02
     iter =   52 error estimate =    7.8091387e-02
     iter =   53 error estimate =    7.4479083e-02
     iter =   54 error estimate =    7.1033875e-02
     iter =   55 error estimate =    6.7748034e-02
     iter =   56 error estimate =    6.4614187e-02
     iter =   57 error estimate =    6.1625303e-02
     iter =   58 error estimate =    5.8774677e-02
     iter =   59 error estimate =    5.6055914e-02
     iter =   60 error estimate =    5.3462914e-02
     iter =   61 error estimate =    5.0989859e-02
     iter =   62 error estimate =    4.8631201e-02
     iter =   63 error estimate =    4.6381649e-02
     iter =   64 error estimate =    4.4236155e-02
     iter =   65 error estimate =    4.2189906e-02
     iter =   66 error estimate =    4.0238311e-02
     iter =   67 error estimate =    3.8376992e-02
     iter =   68 error estimate =    3.6601772e-02
     iter =   69 error estimate =    3.4908670e-02
     iter =   70 error estimate =    3.3293886e-02
     iter =   71 error estimate =    3.1753798e-02
     iter =   72 error estimate =    3.0284950e-02
     iter =   73 error estimate =    2.8884047e-02
     iter =   74 error estimate =    2.7547946e-02
     iter =   75 error estimate =    2.6273650e-02
     iter =   76 error estimate =    2.5058300e-02
     iter =   77 error estimate =    2.3899168e-02
     iter =   78 error estimate =    2.2793655e-02
     iter =   79 error estimate =    2.1739280e-02
     iter =   80 error estimate =    2.0733678e-02
     iter =   81 error estimate =    1.9774592e-02
     iter =   82 error estimate =    1.8859871e-02
     iter =   83 error estimate =    1.7987463e-02
     iter =   84 error estimate =    1.7155410e-02
     iter =   85 error estimate =    1.6361845e-02
     iter =   86 error estimate =    1.5604989e-02
     iter =   87 error estimate =    1.4883143e-02
     iter =   88 error estimate =    1.4194687e-02
     iter =   89 error estimate =    1.3538078e-02
     iter =   90 error estimate =    1.2911842e-02
     iter =   91 error estimate =    1.2314574e-02
     iter =   92 error estimate =    1.1744934e-02
     iter =   93 error estimate =    1.1201644e-02
     iter =   94 error estimate =    1.0683485e-02
     iter =   95 error estimate =    1.0189295e-02
     iter =   96 error estimate =    9.7179648e-03
     iter =   97 error estimate =    9.2684371e-03
     iter =   98 error estimate =    8.8397034e-03
     iter =   99 error estimate =    8.4308018e-03
     iter =  100 error estimate =    8.0408149e-03
     iter =  101 error estimate =    7.6688678e-03
     iter =  102 error estimate =    7.3141260e-03
     iter =  103 error estimate =    6.9757936e-03
     iter =  104 error estimate =    6.6531116e-03
     iter =  105 error estimate =    6.3453560e-03
     iter =  106 error estimate =    6.0518364e-03
     iter =  107 error estimate =    5.7718943e-03
     iter =  108 error estimate =    5.5049015e-03
     iter =  109 error estimate =    5.2502591e-03
     iter =  110 error estimate =    5.0073959e-03
     iter =  111 error estimate =    4.7757668e-03
     iter =  112 error estimate =    4.5548523e-03
     iter =  113 error estimate =    4.3441567e-03
     iter =  114 error estimate =    4.1432074e-03
     iter =  115 error estimate =    3.9515534e-03
     iter =  116 error estimate =    3.7687649e-03
     iter =  117 error estimate =    3.5944316e-03
     iter =  118 error estimate =    3.4281626e-03
     iter =  119 error estimate =    3.2695848e-03
     iter =  120 error estimate =    3.1183423e-03
     iter =  121 error estimate =    2.9740959e-03
     iter =  122 error estimate =    2.8365220e-03
     iter =  123 error estimate =    2.7053119e-03
     iter =  124 error estimate =    2.5801712e-03
     iter =  125 error estimate =    2.4608193e-03
     iter =  126 error estimate =    2.3469882e-03
     iter =  127 error estimate =    2.2384226e-03
     iter =  128 error estimate =    2.1348790e-03
     iter =  129 error estimate =    2.0361251e-03
     iter =  130 error estimate =    1.9419393e-03
     iter =  131 error estimate =    1.8521102e-03
     iter =  132 error estimate =    1.7664365e-03
     iter =  133 error estimate =    1.6847257e-03
     iter =  134 error estimate =    1.6067947e-03
     iter =  135 error estimate =    1.5324686e-03
     iter =  136 error estimate =    1.4615806e-03
     iter =  137 error estimate =    1.3939717e-03
     iter =  138 error estimate =    1.3294902e-03
     iter =  139 error estimate =    1.2679914e-03
     iter =  140 error estimate =    1.2093375e-03
     iter =  141 error estimate =    1.1533967e-03
     iter =  142 error estimate =    1.1000435e-03
     iter =  143 error estimate =    1.0491584e-03
     iter =  144 error estimate =    1.0006271e-03
     iter =  145 error estimate =    9.5434068e-04
     iter =  146 error estimate =    9.1019537e-04
     iter =  147 error estimate =    8.6809211e-04
     iter =  148 error estimate =    8.2793643e-04
     iter =  149 error estimate =    7.8963825e-04
     iter =  150 error estimate =    7.5311165e-04
     iter =  151 error estimate =    7.1827467e-04
     iter =  152 error estimate =    6.8504916e-04
     iter =  153 error estimate =    6.5336057e-04
     iter =  154 error estimate =    6.2313782e-04
     iter =  155 error estimate =    5.9431309e-04
     iter =  156 error estimate =    5.6682172e-04
     iter =  157 error estimate =    5.4060202e-04
     iter =  158 error estimate =    5.1559519e-04
     iter =  159 error estimate =    4.9174510e-04
     iter =  160 error estimate =    4.6899825e-04
     iter =  161 error estimate =    4.4730362e-04
     iter =  162 error estimate =    4.2661252e-04
     iter =  163 error estimate =    4.0687854e-04
     iter =  164 error estimate =    3.8805740e-04
     iter =  165 error estimate =    3.7010688e-04
     iter =  166 error estimate =    3.5298670e-04
     iter =  167 error estimate =    3.3665846e-04
     iter =  168 error estimate =    3.2108552e-04
     iter =  169 error estimate =    3.0623294e-04
     iter =  170 error estimate =    2.9206740e-04
     iter =  171 error estimate =    2.7855713e-04
     iter =  172 error estimate =    2.6567180e-04
     iter =  173 error estimate =    2.5338252e-04
     iter =  174 error estimate =    2.4166170e-04
     iter =  175 error estimate =    2.3048306e-04
     iter =  176 error estimate =    2.1982152e-04
     iter =  177 error estimate =    2.0965315e-04
     iter =  178 error estimate =    1.9995514e-04
     iter =  179 error estimate =    1.9070574e-04
     iter =  180 error estimate =    1.8188419e-04
     iter =  181 error estimate =    1.7347070e-04
     iter =  182 error estimate =    1.6544640e-04
     iter =  183 error estimate =    1.5779328e-04
     iter =  184 error estimate =    1.5049417e-04
     iter =  185 error estimate =    1.4353271e-04
     iter =  186 error estimate =    1.3689326e-04
     iter =  187 error estimate =    1.3056093e-04
     iter =  188 error estimate =    1.2452153e-04
     iter =  189 error estimate =    1.1876149e-04
     iter =  190 error estimate =    1.1326789e-04
     iter =  191 error estimate =    1.0802841e-04
     iter =  192 error estimate =    1.0303130e-04
     iter =  193 error estimate =    9.8265341e-05
     iter =  194 error estimate =    9.3719843e-05
     iter =  195 error estimate =    8.9384607e-05
     iter =  196 error estimate =    8.5249909e-05
     iter =  197 error estimate =    8.1306470e-05
     iter =  198 error estimate =    7.7545445e-05
     iter =  199 error estimate =    7.3958395e-05
     iter =  200 error estimate =    7.0537273e-05
     iter =  201 error estimate =    6.7274403e-05
     iter =  202 error estimate =    6.4162465e-05
     iter =  203 error estimate =    6.1194477e-05
     iter =  204 error estimate =    5.8363780e-05
     iter =  205 error estimate =    5.5664024e-05
     iter =  206 error estimate =    5.3089151e-05
     iter =  207 error estimate =    5.0633386e-05
     iter =  208 error estimate =    4.8291217e-05
     iter =  209 error estimate =    4.6057392e-05
     iter =  210 error estimate =    4.3926897e-05
     iter =  211 error estimate =    4.1894953e-05
     iter =  212 error estimate =    3.9957002e-05
     iter =  213 error estimate =    3.8108696e-05
     iter =  214 error estimate =    3.6345887e-05
     iter =  215 error estimate =    3.4664621e-05
     iter =  216 error estimate =    3.3061126e-05
     iter =  217 error estimate =    3.1531805e-05
     iter =  218 error estimate =    3.0073226e-05
     iter =  219 error estimate =    2.8682117e-05
     iter =  220 error estimate =    2.7355357e-05
     iter =  221 error estimate =    2.6089970e-05
     iter =  222 error estimate =    2.4883116e-05
     iter =  223 error estimate =    2.3732088e-05
     iter =  224 error estimate =    2.2634303e-05
     iter =  225 error estimate =    2.1587299e-05
     iter =  226 error estimate =    2.0588727e-05
     iter =  227 error estimate =    1.9636347e-05
     iter =  228 error estimate =    1.8728020e-05
     iter =  229 error estimate =    1.7861711e-05
     iter =  230 error estimate =    1.7035475e-05
     iter =  231 error estimate =    1.6247458e-05
     iter =  232 error estimate =    1.5495893e-05
     iter =  233 error estimate =    1.4779094e-05
     iter =  234 error estimate =    1.4095451e-05
     iter =  235 error estimate =    1.3443433e-05
     iter =  236 error estimate =    1.2821575e-05
     iter =  237 error estimate =    1.2228482e-05
     iter =  238 error estimate =    1.1662824e-05
     iter =  239 error estimate =    1.1123333e-05
     iter =  240 error estimate =    1.0608796e-05
     iter =  241 error estimate =    1.0118061e-05
     iter =  242 error estimate =    9.6500259e-06
     iter =  243 error estimate =    9.2036409e-06
     iter =  244 error estimate =    8.7779045e-06
     iter =  245 error estimate =    8.3718615e-06
     iter =  246 error estimate =    7.9846011e-06
     iter =  247 error estimate =    7.6152543e-06
     iter =  248 error estimate =    7.2629925e-06
     iter =  249 error estimate =    6.9270254e-06
     iter =  250 error estimate =    6.6065993e-06
     iter =  251 error estimate =    6.3009953e-06
     iter =  252 error estimate =    6.0095277e-06
     iter =  253 error estimate =    5.7315426e-06
     iter =  254 error estimate =    5.4664164e-06
     iter =  255 error estimate =    5.2135542e-06
     iter =  256 error estimate =    4.9723888e-06
     iter =  257 error estimate =    4.7423791e-06
     iter =  258 error estimate =    4.5230090e-06
     iter =  259 error estimate =    4.3137864e-06
     iter =  260 error estimate =    4.1142419e-06
     iter =  261 error estimate =    3.9239278e-06
     iter =  262 error estimate =    3.7424172e-06
     iter =  263 error estimate =    3.5693027e-06
     iter =  264 error estimate =    3.4041961e-06
     iter =  265 error estimate =    3.2467269e-06
     iter =  266 error estimate =    3.0965418e-06
     iter =  267 error estimate =    2.9533038e-06
     iter =  268 error estimate =    2.8166917e-06
     iter =  269 error estimate =    2.6863989e-06
     iter =  270 error estimate =    2.5621331e-06
     iter =  271 error estimate =    2.4436155e-06
     iter =  272 error estimate =    2.3305802e-06
     iter =  273 error estimate =    2.2227737e-06
     iter =  274 error estimate =    2.1199540e-06
     iter =  275 error estimate =    2.0218904e-06
     iter =  276 error estimate =    1.9283631e-06
     iter =  277 error estimate =    1.8391620e-06
     iter =  278 error estimate =    1.7540872e-06
     iter =  279 error estimate =    1.6729477e-06
     iter =  280 error estimate =    1.5955615e-06
     iter =  281 error estimate =    1.5217550e-06
     iter =  282 error estimate =    1.4513626e-06
     iter =  283 error estimate =    1.3842263e-06
     iter =  284 error estimate =    1.3201956e-06
     iter =  285 error estimate =    1.2591268e-06
     iter =  286 error estimate =    1.2008829e-06
     iter =  287 error estimate =    1.1453332e-06
     iter =  288 error estimate =    1.0923531e-06
     iter =  289 error estimate =    1.0418237e-06
     iter =  290 error estimate =    9.9363163e-07
 ***************** passed ***********************
 **** dsgs   quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count = 290 stop test =  9.93632e-07

 dsilur : itol = 11   isym = 0
     iter =    0 error estimate =    1.0000000e+00
     iter =    1 error estimate =    8.2914240e-01
     iter =    2 error estimate =    7.6797116e-01
     iter =    3 error estimate =    7.1043507e-01
     iter =    4 error estimate =    6.5716550e-01
     iter =    5 error estimate =    6.0788771e-01
     iter =    6 error estimate =    5.6230489e-01
     iter =    7 error estimate =    5.2014012e-01
     iter =    8 error estimate =    4.8113710e-01
     iter =    9 error estimate =    4.4505874e-01
     iter =   10 error estimate =    4.1168574e-01
     iter =   11 error estimate =    3.8081523e-01
     iter =   12 error estimate =    3.5225957e-01
     iter =   13 error estimate =    3.2584517e-01
     iter =   14 error estimate =    3.0141147e-01
     iter =   15 error estimate =    2.7880995e-01
     iter =   16 error estimate =    2.5790322e-01
     iter =   17 error estimate =    2.3856419e-01
     iter =   18 error estimate =    2.2067531e-01
     iter =   19 error estimate =    2.0412783e-01
     iter =   20 error estimate =    1.8882118e-01
     iter =   21 error estimate =    1.7466231e-01
     iter =   22 error estimate =    1.6156515e-01
     iter =   23 error estimate =    1.4945009e-01
     iter =   24 error estimate =    1.3824349e-01
     iter =   25 error estimate =    1.2787721e-01
     iter =   26 error estimate =    1.1828826e-01
     iter =   27 error estimate =    1.0941835e-01
     iter =   28 error estimate =    1.0121354e-01
     iter =   29 error estimate =    9.3623985e-02
     iter =   30 error estimate =    8.6603534e-02
     iter =   31 error estimate =    8.0109515e-02
     iter =   32 error estimate =    7.4102454e-02
     iter =   33 error estimate =    6.8545836e-02
     iter =   34 error estimate =    6.3405885e-02
     iter =   35 error estimate =    5.8651356e-02
     iter =   36 error estimate =    5.4253349e-02
     iter =   37 error estimate =    5.0185128e-02
     iter =   38 error estimate =    4.6421966e-02
     iter =   39 error estimate =    4.2940987e-02
     iter =   40 error estimate =    3.9721031e-02
     iter =   41 error estimate =    3.6742525e-02
     iter =   42 error estimate =    3.3987364e-02
     iter =   43 error estimate =    3.1438801e-02
     iter =   44 error estimate =    2.9081343e-02
     iter =   45 error estimate =    2.6900661e-02
     iter =   46 error estimate =    2.4883499e-02
     iter =   47 error estimate =    2.3017594e-02
     iter =   48 error estimate =    2.1291606e-02
     iter =   49 error estimate =    1.9695042e-02
     iter =   50 error estimate =    1.8218197e-02
     iter =   51 error estimate =    1.6852095e-02
     iter =   52 error estimate =    1.5588430e-02
     iter =   53 error estimate =    1.4419522e-02
     iter =   54 error estimate =    1.3338266e-02
     iter =   55 error estimate =    1.2338088e-02
     iter =   56 error estimate =    1.1412909e-02
     iter =   57 error estimate =    1.0557105e-02
     iter =   58 error estimate =    9.7654738e-03
     iter =   59 error estimate =    9.0332038e-03
     iter =   60 error estimate =    8.3558435e-03
     iter =   61 error estimate =    7.7292755e-03
     iter =   62 error estimate =    7.1496911e-03
     iter =   63 error estimate =    6.6135671e-03
     iter =   64 error estimate =    6.1176448e-03
     iter =   65 error estimate =    5.6589095e-03
     iter =   66 error estimate =    5.2345727e-03
     iter =   67 error estimate =    4.8420551e-03
     iter =   68 error estimate =    4.4789706e-03
     iter =   69 error estimate =    4.1431123e-03
     iter =   70 error estimate =    3.8324385e-03
     iter =   71 error estimate =    3.5450608e-03
     iter =   72 error estimate =    3.2792322e-03
     iter =   73 error estimate =    3.0333370e-03
     iter =   74 error estimate =    2.8058804e-03
     iter =   75 error estimate =    2.5954797e-03
     iter =   76 error estimate =    2.4008561e-03
     iter =   77 error estimate =    2.2208264e-03
     iter =   78 error estimate =    2.0542964e-03
     iter =   79 error estimate =    1.9002538e-03
     iter =   80 error estimate =    1.7577621e-03
     iter =   81 error estimate =    1.6259552e-03
     iter =   82 error estimate =    1.5040320e-03
     iter =   83 error estimate =    1.3912512e-03
     iter =   84 error estimate =    1.2869274e-03
     iter =   85 error estimate =    1.1904264e-03
     iter =   86 error estimate =    1.1011615e-03
     iter =   87 error estimate =    1.0185903e-03
     iter =   88 error estimate =    9.4221064e-04
     iter =   89 error estimate =    8.7155840e-04
     iter =   90 error estimate =    8.0620406e-04
     iter =   91 error estimate =    7.4575036e-04
     iter =   92 error estimate =    6.8982982e-04
     iter =   93 error estimate =    6.3810251e-04
     iter =   94 error estimate =    5.9025400e-04
     iter =   95 error estimate =    5.4599345e-04
     iter =   96 error estimate =    5.0505180e-04
     iter =   97 error estimate =    4.6718018e-04
     iter =   98 error estimate =    4.3214839e-04
     iter =   99 error estimate =    3.9974348e-04
     iter =  100 error estimate =    3.6976847e-04
     iter =  101 error estimate =    3.4204116e-04
     iter =  102 error estimate =    3.1639299e-04
     iter =  103 error estimate =    2.9266807e-04
     iter =  104 error estimate =    2.7072218e-04
     iter =  105 error estimate =    2.5042191e-04
     iter =  106 error estimate =    2.3164387e-04
     iter =  107 error estimate =    2.1427392e-04
     iter =  108 error estimate =    1.9820646e-04
     iter =  109 error estimate =    1.8334382e-04
     iter =  110 error estimate =    1.6959568e-04
     iter =  111 error estimate =    1.5687844e-04
     iter =  112 error estimate =    1.4511482e-04
     iter =  113 error estimate =    1.3423329e-04
     iter =  114 error estimate =    1.2416773e-04
     iter =  115 error estimate =    1.1485693e-04
     iter =  116 error estimate =    1.0624432e-04
     iter =  117 error estimate =    9.8277523e-05
     iter =  118 error estimate =    9.0908123e-05
     iter =  119 error estimate =    8.4091322e-05
     iter =  120 error estimate =    7.7785683e-05
     iter =  121 error estimate =    7.1952876e-05
     iter =  122 error estimate =    6.6557446e-05
     iter =  123 error estimate =    6.1566595e-05
     iter =  124 error estimate =    5.6949987e-05
     iter =  125 error estimate =    5.2679557e-05
     iter =  126 error estimate =    4.8729349e-05
     iter =  127 error estimate =    4.5075349e-05
     iter =  128 error estimate =    4.1695346e-05
     iter =  129 error estimate =    3.8568795e-05
     iter =  130 error estimate =    3.5676691e-05
     iter =  131 error estimate =    3.3001452e-05
     iter =  132 error estimate =    3.0526818e-05
     iter =  133 error estimate =    2.8237746e-05
     iter =  134 error estimate =    2.6120322e-05
     iter =  135 error estimate =    2.4161674e-05
     iter =  136 error estimate =    2.2349896e-05
     iter =  137 error estimate =    2.0673975e-05
     iter =  138 error estimate =    1.9123725e-05
     iter =  139 error estimate =    1.7689720e-05
     iter =  140 error estimate =    1.6363246e-05
     iter =  141 error estimate =    1.5136238e-05
     iter =  142 error estimate =    1.4001238e-05
     iter =  143 error estimate =    1.2951347e-05
     iter =  144 error estimate =    1.1980182e-05
     iter =  145 error estimate =    1.1081841e-05
     iter =  146 error estimate =    1.0250862e-05
     iter =  147 error estimate =    9.4821951e-06
     iter =  148 error estimate =    8.7711669e-06
     iter =  149 error estimate =    8.1134556e-06
     iter =  150 error estimate =    7.5050632e-06
     iter =  151 error estimate =    6.9422915e-06
     iter =  152 error estimate =    6.4217195e-06
     iter =  153 error estimate =    5.9401830e-06
     iter =  154 error estimate =    5.4947547e-06
     iter =  155 error estimate =    5.0827272e-06
     iter =  156 error estimate =    4.7015958e-06
     iter =  157 error estimate =    4.3490438e-06
     iter =  158 error estimate =    4.0229281e-06
     iter =  159 error estimate =    3.7212664e-06
     iter =  160 error estimate =    3.4422250e-06
     iter =  161 error estimate =    3.1841076e-06
     iter =  162 error estimate =    2.9453454e-06
     iter =  163 error estimate =    2.7244869e-06
     iter =  164 error estimate =    2.5201896e-06
     iter =  165 error estimate =    2.3312116e-06
     iter =  166 error estimate =    2.1564043e-06
     iter =  167 error estimate =    1.9947050e-06
     iter =  168 error estimate =    1.8451308e-06
     iter =  169 error estimate =    1.7067726e-06
     iter =  170 error estimate =    1.5787892e-06
     iter =  171 error estimate =    1.4604027e-06
     iter =  172 error estimate =    1.3508935e-06
     iter =  173 error estimate =    1.2495960e-06
     iter =  174 error estimate =    1.1558943e-06
     iter =  175 error estimate =    1.0692188e-06
     iter =  176 error estimate =    9.8904279e-07
 ***************** passed ***********************
 **** dsilur quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count = 176 stop test =  9.89043e-07

 dsdcgn : itol = 11   isym = 0
 pcg applied to the normal equations for n, itol =   441   11
 iter   error estimate            alpha             beta
    0    1.0000000e+00    0.0000000e+00    0.0000000e+00
    1    8.5818598e-01    9.5315600e-01    0.0000000e+00
    2    8.4816817e-01    9.5344459e-01    6.4848840e-02
    3    8.4690791e-01    1.1715968e+00    1.0170037e-01
    4    8.4541104e-01    3.9134232e+00    3.5501001e-01
    5    8.3100559e-01    1.1447586e+01    3.2590053e+00
    6    6.8486159e-01    9.3910485e+00    1.1182356e+01
    7    2.8306468e-01    2.5893069e+00    6.3670353e+00
    8    7.8696988e-02    1.1377136e+00    4.3264978e-01
    9    2.1311859e-02    1.0610508e+00    8.3233808e-02
   10    5.8721201e-03    1.0251218e+00    7.5696521e-02
   11    1.5603170e-03    1.0653165e+00    7.3474053e-02
   12    4.2037253e-04    1.0261939e+00    7.3140703e-02
   13    1.0962617e-04    1.0467345e+00    7.1511131e-02
   14    2.8765019e-05    1.0533406e+00    6.7520445e-02
   15    7.5558157e-06    1.0295135e+00    7.0431765e-02
   16    1.8753834e-06    1.0043222e+00    7.1289746e-02
   17    5.0116331e-07    9.9801345e-01    6.1346673e-02
 ***************** passed ***********************
 **** dsdcgn quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =  17 stop test =  5.01163e-07

 dslucn : itol = 11   isym = 0
 pcg applied to the normal equations for n, itol =   441   11
 iter   error estimate            alpha             beta
    0    1.0000000e+00    9.9801345e-01    6.1346673e-02
    1    8.4807696e-01    1.0014145e+00    6.1346673e-02
    2    8.3255800e-01    7.4684763e+00    1.2455873e-02
    3    4.6057469e-01    1.8652651e+01    7.3845144e+00
    4    2.3355168e-02    1.3364657e+00    6.1390080e+00
    5    7.7646787e-04    1.0032363e+00    3.4305071e-03
    6    2.9350213e-05    1.0106621e+00    1.0968255e-03
    7    1.3544371e-06    1.0221875e+00    1.4117119e-03
    8    6.2250353e-08    1.0333451e+00    2.1066279e-03
 ***************** passed ***********************
 **** dslucn quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =   8 stop test =  6.22504e-08

 dsdbcg : itol = 11   isym = 0
 preconditioned biconjugate gradient for n, itol =   441   11
 iter   error estimate            alpha             beta
    0    1.0000000e+00    0.0000000e+00    0.0000000e+00
    1    8.2772694e-01    9.7660850e-01    0.0000000e+00
    2    8.0883676e-01    1.0262584e+00    1.5176537e-02
    3    7.4576644e-01    3.0664310e+00    6.0553611e-02
    4    1.8314670e-01    9.4654791e+00    2.0364662e+00
    5    7.4626406e-03    1.2747977e+00    2.1730646e+00
    6    8.3713717e-04    1.0096428e+00    2.5185616e-02
    7    1.0406947e-04    1.0107897e+00    1.5481948e-02
    8    1.2897262e-05    1.0170700e+00    1.6125851e-02
    9    1.7115044e-06    1.0222632e+00    1.7019317e-02
   10    2.1636653e-07    1.0402710e+00    1.6353306e-02
 ***************** passed ***********************
 **** dsdbcg quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =  10 stop test =  2.16367e-07

 dslubc : itol = 11   isym = 0
 preconditioned biconjugate gradient for n, itol =   441   11
 iter   error estimate            alpha             beta
    0    1.0000000e+00    1.0402710e+00    1.6353306e-02
    1    8.2913480e-01    1.0003933e+00    1.6353306e-02
    2    3.9195081e-01    7.1871412e+00    2.4003955e-03
    3    2.4198888e-03    1.8580561e+00    2.8279622e+00
    4    6.4039749e-05    1.0271555e+00    2.1414197e-03
    5    1.3300344e-06    1.0230187e+00    8.9586866e-04
    6    1.9501840e-08    1.0020666e+00    3.5672091e-04
 ***************** passed ***********************
 **** dslubc quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =   6 stop test =  1.95018e-08

 dsdcgs : itol = 11   isym = 0
 preconditioned biconjugate gradient squared for n, itol =   441   11
 iter   error estimate            alpha             beta
    0    1.0000000e+00    0.0000000e+00    0.0000000e+00
    1    8.1000171e-01    9.7637896e-01    3.8583336e+01
    2    7.6737261e-01    1.0909399e+00    1.6287728e-02
    3    5.5305473e-01    5.5233056e+00    1.2802234e-01
    4    9.3829616e-03    5.7172274e+00    4.0762597e+00
    5    1.8364389e-04    1.1008977e+00    6.2692168e-01
    6    4.8637816e-06    1.0005050e+00    1.7902905e-02
    7    1.4083341e-07    9.9933635e-01    1.5352122e-02
 ***************** passed ***********************
 **** dsdcgs quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =   7 stop test =  1.40833e-07

 dslucs : itol = 11   isym = 0
 preconditioned biconjugate gradient squared for n, itol =   441   11
 iter   error estimate            alpha             beta
    0    1.0000000e+00    9.9933635e-01    1.5352122e-02
    1    7.6776102e-01    1.0017176e+00    3.8378341e+01
    2    7.6034970e-02    9.0257730e+00    4.3447840e-03
    3    6.8360232e-05    1.4763304e+00    2.5561951e+00
    4    6.2644392e-08    1.0235958e+00    1.1702714e-03
 ***************** passed ***********************
 **** dslucs quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =   4 stop test =  6.26444e-08

 dsdomn : itol = 11   isym = 0 nsave =  0
 preconditioned orthomin(  0) for n, itol =   441   11
 iter   error estimate            alpha
    0    1.0000000e+00    0.0000000e+00
    1    8.2830197e-01    9.5839099e-01
    2    8.1068148e-01    9.5039291e-01
    3    7.8981059e-01    1.0691314e+00
    4    7.6765736e-01    1.1790373e+00
    5    6.7390791e-01    5.0479760e+00
    6    6.6186916e-01    7.5847517e-01
    7    3.1182511e-01    2.1955049e+01
    8    3.0500810e-01    8.6238908e-01
    9    2.9197484e-01    1.7939244e+00
   10    2.7325581e-01    2.6339427e+00
   11    2.6820085e-01    7.8336124e-01
   12    3.9698379e-02    3.5407345e+01
   13    3.8298729e-02    1.0759021e+00
   14    3.7392512e-02    9.6390847e-01
   15    3.4635632e-02    3.0204713e+00
   16    3.3945477e-02    8.4659804e-01
   17    2.3005121e-02    1.3425369e+01
   18    2.2265639e-02    1.2693540e+00
   19    2.1388450e-02    1.6155498e+00
   20    2.0888002e-02    9.8167047e-01
   21    1.6690369e-02    8.3157024e+00
   22    1.6397318e-02    7.5083906e-01
   23    1.1459465e-02    1.2512906e+01
   24    1.1198213e-02    9.1247551e-01
   25    1.0646787e-02    2.0560711e+00
   26    1.0178360e-02    1.8075390e+00
   27    9.9545379e-03    9.2369904e-01
   28    7.0788340e-03    1.1961008e+01
   29    6.9563857e-03    7.4611720e-01
   30    5.6204223e-03    7.9854266e+00
   31    5.4835202e-03    9.8365211e-01
   32    5.2709221e-03    1.6202037e+00
   33    4.9722615e-03    2.3332329e+00
   34    4.8728297e-03    8.4220085e-01
   35    1.8351052e-03    2.5839568e+01
   36    1.8040360e-03    7.5530666e-01
   37    1.6159645e-03    4.3390558e+00
   38    1.5700648e-03    1.1574706e+00
   39    1.5246741e-03    1.2105498e+00
   40    1.3772187e-03    3.9928698e+00
   41    1.3524243e-03    7.6311926e-01
   42    3.6655760e-04    3.0268301e+01
   43    3.5826701e-04    8.3150528e-01
   44    3.3850670e-04    2.3028049e+00
   45    3.2474939e-04    1.6662298e+00
   46    3.1769097e-04    9.1344893e-01
   47    2.1929037e-04    1.2825104e+01
   48    2.1553927e-04    7.4019631e-01
   49    1.7919834e-04    7.0136683e+00
   50    1.7470781e-04    1.0120639e+00
   51    1.6884969e-04    1.4027180e+00
   52    1.5684940e-04    2.9297924e+00
   53    1.5392809e-04    7.8692780e-01
   54    1.2817970e-06    4.1151094e+01
   55    1.2107140e-06    8.1400327e-01
   56    1.1482463e-06    2.1179112e+00
   57    1.1090226e-06    1.4152483e+00
   58    1.0784317e-06    1.1546392e+00
   59    9.6387226e-07    4.3866881e+00
 ***************** passed ***********************
 **** dsdomn quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =  59 stop test =  9.63872e-07

 dsdomn : itol = 11   isym = 0 nsave =  1
 preconditioned orthomin(  1) for n, itol =   441   11
 iter   error estimate            alpha
    0    1.0000000e+00    4.3866881e+00
    1    8.2830197e-01    9.5839099e-01
    2    8.1011797e-01    9.6232888e-01
    3    7.8889392e-01    1.0929540e+00
    4    7.3283122e-01    2.6141047e+00
    5    1.5955128e-01    1.1100088e+01
    6    5.0462987e-03    1.2273559e+00
    7    2.8169830e-03    1.0291738e+00
    8    2.6884590e-03    9.9623645e-01
    9    2.6152269e-03    1.0545629e+00
   10    2.2925358e-03    4.5788662e+00
   11    6.2709059e-04    5.8183493e+00
   12    3.8785600e-05    1.2919968e+00
   13    2.4148158e-05    9.8007829e-01
   14    2.3227568e-05    1.0024513e+00
   15    2.2131825e-05    1.7601961e+00
   16    1.3219882e-05    8.9868529e+00
   17    2.2306664e-06    2.0397960e+00
   18    8.9719285e-07    1.0810434e+00
 ***************** passed ***********************
 **** dsdomn quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =  18 stop test =  8.97193e-07

 dsdomn : itol = 11   isym = 0 nsave =  2
 preconditioned orthomin(  2) for n, itol =   441   11
 iter   error estimate            alpha
    0    1.0000000e+00    1.0810434e+00
    1    8.2830197e-01    9.5839099e-01
    2    8.1011797e-01    9.6232888e-01
    3    7.8882078e-01    1.0955956e+00
    4    6.9992752e-01    4.1928993e+00
    5    1.7185086e-01    6.5723925e+00
    6    2.2545295e-03    1.2845375e+00
    7    2.0384258e-03    1.0204403e+00
    8    1.6375998e-03    9.3923798e-01
    9    1.5952969e-03    9.7058976e-01
   10    1.5139120e-03    2.2159070e+00
   11    6.1436581e-04    1.1689860e+01
   12    1.2471452e-05    1.5118818e+00
   13    5.3315946e-06    1.0068390e+00
   14    5.1039635e-06    9.7941222e-01
   15    4.9791630e-06    9.2063843e-01
   16    4.8168085e-06    1.4485791e+00
   17    4.0380780e-06    4.7347776e+00
   18    1.3785276e-06    4.0418560e+00
   19    1.7100957e-08    1.4774857e+00
 ***************** passed ***********************
 **** dsdomn quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =  19 stop test =  1.71010e-08

 dsdomn : itol = 11   isym = 0 nsave =  3
 preconditioned orthomin(  3) for n, itol =   441   11
 iter   error estimate            alpha
    0    1.0000000e+00    1.4774857e+00
    1    8.2830197e-01    9.5839099e-01
    2    8.1011797e-01    9.6232888e-01
    3    7.8882078e-01    1.0955956e+00
    4    6.9095276e-01    4.6119172e+00
    5    8.8270954e-02    6.9468407e+00
    6    1.0600104e-03    1.1304531e+00
    7    1.5062150e-04    1.0027109e+00
    8    2.1351065e-05    1.0028042e+00
    9    1.6965763e-05    1.0201705e+00
   10    1.6306190e-05    1.0437488e+00
   11    1.5825147e-05    1.1509020e+00
   12    1.4200069e-05    3.5915471e+00
   13    3.1013649e-06    7.4071339e+00
   14    1.3582167e-07    1.2634617e+00
 ***************** passed ***********************
 **** dsdomn quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =  14 stop test =  1.35822e-07

 dsluom : itol = 11   isym = 0 nsave =  0
 preconditioned orthomin(  0) for n, itol =   441   11
 iter   error estimate            alpha
    0    1.0000000e+00    1.2634617e+00
    1    8.2939244e-01    9.8829699e-01
    2    6.3983473e-01    3.1286601e+00
    3    5.4649123e-01    1.8281236e+00
    4    5.0237313e-01    1.1364079e+00
    5    1.4241853e-01    9.5227066e+00
    6    1.3310266e-01    9.6018606e-01
    7    6.1428288e-02    7.2879065e+00
    8    5.4677343e-02    1.2361196e+00
    9    4.8105203e-02    1.6582110e+00
   10    3.5683217e-02    3.3730157e+00
   11    3.3127689e-02    1.0165407e+00
   12    2.7587706e-04    1.3355346e+01
   13    4.3041449e-05    1.0053083e+00
   14    4.1249842e-05    9.4402107e-01
   15    3.8471049e-05    9.7272592e-01
   16    8.1015974e-07    1.3476894e+01
 ***************** passed ***********************
 **** dsluom quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =  16 stop test =  8.10160e-07

 dsluom : itol = 11   isym = 0 nsave =  1
 preconditioned orthomin(  1) for n, itol =   441   11
 iter   error estimate            alpha
    0    1.0000000e+00    1.3476894e+01
    1    8.2939244e-01    9.8829699e-01
    2    5.8539275e-01    4.0398737e+00
    3    2.4625304e-02    3.2194331e+00
    4    3.1692961e-03    1.0359286e+00
    5    2.8661727e-03    9.8673984e-01
    6    2.5582112e-03    1.5079760e+00
    7    8.5067034e-05    8.6747597e+00
    8    2.4515710e-06    1.0304715e+00
    9    2.2556564e-06    9.8485091e-01
   10    2.0830124e-06    1.1334986e+00
   11    1.6776203e-06    2.4029878e+00
   12    4.2287057e-08    5.1488364e+00
 ***************** passed ***********************
 **** dsluom quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =  12 stop test =  4.22871e-08

 dsluom : itol = 11   isym = 0 nsave =  2
 preconditioned orthomin(  2) for n, itol =   441   11
 iter   error estimate            alpha
    0    1.0000000e+00    5.1488364e+00
    1    8.2939244e-01    9.8829699e-01
    2    5.8539275e-01    4.0398737e+00
    3    5.3533921e-03    3.3759487e+00
    4    1.6231171e-04    1.0158792e+00
    5    3.3399407e-05    1.0212374e+00
    6    3.1467533e-05    9.3002718e-01
    7    6.9484133e-06    1.1317077e+01
    8    5.9243582e-08    1.2993884e+00
 ***************** passed ***********************
 **** dsluom quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =   8 stop test =  5.92436e-08

 dsluom : itol = 11   isym = 0 nsave =  3
 preconditioned orthomin(  3) for n, itol =   441   11
 iter   error estimate            alpha
    0    1.0000000e+00    1.2993884e+00
    1    8.2939244e-01    9.8829699e-01
    2    5.8539275e-01    4.0398737e+00
    3    5.3533921e-03    3.3759487e+00
    4    1.6005734e-04    1.0160576e+00
    5    1.9648193e-06    1.0247159e+00
    6    1.9972760e-07    1.0035362e+00
 ***************** passed ***********************
 **** dsluom quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =   6 stop test =  1.99728e-07

 dsdgmr : itol = 11   isym = 0 nsave =  5
 generalized minimum residual(441  0) for n, itol =     5    5
 iter   natral err est   error estimate
    0    1.0000000e+00    1.0000000e+00
    1    1.3573190e-01    1.3573190e-01
    2    4.0471446e-02    4.0471446e-02
    3    3.5677537e-02    3.5677537e-02
    4    3.3432298e-02    3.3432298e-02
    5    1.1019966e-02    1.1019966e-02
    5    1.1019966e-02    1.1019966e-02
    6    3.7915079e-03    3.7915079e-03
    7    2.9577383e-03    2.9577383e-03
    8    2.7130834e-03    2.7130834e-03
    9    1.0981784e-03    1.0981784e-03
   10    1.4170553e-04    1.4170553e-04
   10    1.4170553e-04    1.4170553e-04
   11    2.6977775e-05    2.6977775e-05
   12    9.9674432e-06    9.9674432e-06
   13    9.2184793e-06    9.2184793e-06
   14    8.4258276e-06    8.4258276e-06
   15    2.8015414e-06    2.8015414e-06
   15    2.8015414e-06    2.8015414e-06
   16    9.4828944e-07    9.4828944e-07
 ***************** passed ***********************
 **** dsdgmr quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =  16 stop test =  9.48289e-07

 dsdgmr : itol = 11   isym = 0 nsave =  6
 generalized minimum residual(441  0) for n, itol =     6    6
 iter   natral err est   error estimate
    0    1.0000000e+00    1.0000000e+00
    1    1.3573190e-01    1.3573190e-01
    2    4.0471446e-02    4.0471446e-02
    3    3.5677537e-02    3.5677537e-02
    4    3.3432298e-02    3.3432298e-02
    5    1.1019966e-02    1.1019966e-02
    6    1.4931236e-03    1.4931236e-03
    6    1.4931236e-03    1.4931236e-03
    7    2.5984257e-04    2.5984257e-04
    8    4.4838056e-05    4.4838056e-05
    9    3.2573102e-05    3.2573102e-05
   10    3.1219996e-05    3.1219996e-05
   11    1.8897310e-05    1.8897310e-05
   12    2.7963107e-06    2.7963107e-06
   12    2.7963107e-06    2.7963107e-06
   13    6.0896586e-07    6.0896586e-07
 ***************** passed ***********************
 **** dsdgmr quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =  13 stop test =  6.08966e-07

 dsdgmr : itol = 11   isym = 0 nsave =  7
 generalized minimum residual(441  0) for n, itol =     7    7
 iter   natral err est   error estimate
    0    1.0000000e+00    1.0000000e+00
    1    1.3573190e-01    1.3573190e-01
    2    4.0471446e-02    4.0471446e-02
    3    3.5677537e-02    3.5677537e-02
    4    3.3432298e-02    3.3432298e-02
    5    1.1019966e-02    1.1019966e-02
    6    1.4931236e-03    1.4931236e-03
    7    1.8589782e-04    1.8589782e-04
    7    1.8589782e-04    1.8589782e-04
    8    3.3054537e-05    3.3054537e-05
    9    7.9515487e-06    7.9515487e-06
   10    6.7977242e-06    6.7977242e-06
   11    6.5522472e-06    6.5522472e-06
   12    2.4765642e-06    2.4765642e-06
   13    3.7796258e-07    3.7796258e-07
 ***************** passed ***********************
 **** dsdgmr quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =  13 stop test =  3.77963e-07

 dsdgmr : itol = 11   isym = 0 nsave =  8
 generalized minimum residual(441  0) for n, itol =     8    8
 iter   natral err est   error estimate
    0    1.0000000e+00    1.0000000e+00
    1    1.3573190e-01    1.3573190e-01
    2    4.0471446e-02    4.0471446e-02
    3    3.5677537e-02    3.5677537e-02
    4    3.3432298e-02    3.3432298e-02
    5    1.1019966e-02    1.1019966e-02
    6    1.4931236e-03    1.4931236e-03
    7    1.8589782e-04    1.8589782e-04
    8    2.2952795e-05    2.2952795e-05
    8    2.2952795e-05    2.2952795e-05
    9    4.2841051e-06    4.2841051e-06
   10    7.2433977e-07    7.2433977e-07
 ***************** passed ***********************
 **** dsdgmr quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =  10 stop test =  7.24340e-07

 dsdgmr : itol = 11   isym = 0 nsave =  9
 generalized minimum residual(441  0) for n, itol =     9    9
 iter   natral err est   error estimate
    0    1.0000000e+00    1.0000000e+00
    1    1.3573190e-01    1.3573190e-01
    2    4.0471446e-02    4.0471446e-02
    3    3.5677537e-02    3.5677537e-02
    4    3.3432298e-02    3.3432298e-02
    5    1.1019966e-02    1.1019966e-02
    6    1.4931236e-03    1.4931236e-03
    7    1.8589782e-04    1.8589782e-04
    8    2.2952795e-05    2.2952795e-05
    9    2.9350954e-06    2.9350954e-06
    9    2.9350954e-06    2.9350954e-06
   10    5.2559665e-07    5.2559665e-07
 ***************** passed ***********************
 **** dsdgmr quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =  10 stop test =  5.25597e-07

 dsdgmr : itol = 11   isym = 0 nsave = 10
 generalized minimum residual(441  0) for n, itol =    10   10
 iter   natral err est   error estimate
    0    1.0000000e+00    1.0000000e+00
    1    1.3573190e-01    1.3573190e-01
    2    4.0471446e-02    4.0471446e-02
    3    3.5677537e-02    3.5677537e-02
    4    3.3432298e-02    3.3432298e-02
    5    1.1019966e-02    1.1019966e-02
    6    1.4931236e-03    1.4931236e-03
    7    1.8589782e-04    1.8589782e-04
    8    2.2952795e-05    2.2952795e-05
    9    2.9350954e-06    2.9350954e-06
   10    3.8261463e-07    3.8261463e-07
 ***************** passed ***********************
 **** dsdgmr quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =  10 stop test =  3.82615e-07

 dsdgmr : itol = 11   isym = 0 nsave = 11
 generalized minimum residual(441  0) for n, itol =    11   11
 iter   natral err est   error estimate
    0    1.0000000e+00    1.0000000e+00
    1    1.3573190e-01    1.3573190e-01
    2    4.0471446e-02    4.0471446e-02
    3    3.5677537e-02    3.5677537e-02
    4    3.3432298e-02    3.3432298e-02
    5    1.1019966e-02    1.1019966e-02
    6    1.4931236e-03    1.4931236e-03
    7    1.8589782e-04    1.8589782e-04
    8    2.2952795e-05    2.2952795e-05
    9    2.9350954e-06    2.9350954e-06
   10    3.8261463e-07    3.8261463e-07
 ***************** passed ***********************
 **** dsdgmr quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =  10 stop test =  3.82615e-07

 dsdgmr : itol = 11   isym = 0 nsave = 12
 generalized minimum residual(441  0) for n, itol =    12   12
 iter   natral err est   error estimate
    0    1.0000000e+00    1.0000000e+00
    1    1.3573190e-01    1.3573190e-01
    2    4.0471446e-02    4.0471446e-02
    3    3.5677537e-02    3.5677537e-02
    4    3.3432298e-02    3.3432298e-02
    5    1.1019966e-02    1.1019966e-02
    6    1.4931236e-03    1.4931236e-03
    7    1.8589782e-04    1.8589782e-04
    8    2.2952795e-05    2.2952795e-05
    9    2.9350954e-06    2.9350954e-06
   10    3.8261463e-07    3.8261463e-07
 ***************** passed ***********************
 **** dsdgmr quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =  10 stop test =  3.82615e-07

 dslugm : itol = 11   isym = 0 nsave =  5
 generalized minimum residual(441  0) for n, itol =     5    5
 iter   natral err est   error estimate
    0    1.0000000e+00    1.0000000e+00
    1    1.1574816e-01    1.1574816e-01
    2    9.8062498e-02    9.8062498e-02
    3    4.0483006e-03    4.0483006e-03
    4    1.1571749e-04    1.1571749e-04
    5    2.4877431e-06    2.4877431e-06
    5    2.4877431e-06    2.4877431e-06
    6    1.7253923e-07    1.7253923e-07
 ***************** passed ***********************
 **** dslugm quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =   6 stop test =  1.72539e-07

 dslugm : itol = 11   isym = 0 nsave =  6
 generalized minimum residual(441  0) for n, itol =     6    6
 iter   natral err est   error estimate
    0    1.0000000e+00    1.0000000e+00
    1    1.1574816e-01    1.1574816e-01
    2    9.8062498e-02    9.8062498e-02
    3    4.0483006e-03    4.0483006e-03
    4    1.1571749e-04    1.1571749e-04
    5    2.4877431e-06    2.4877431e-06
    6    3.6509406e-08    3.6509406e-08
 ***************** passed ***********************
 **** dslugm quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =   6 stop test =  3.65094e-08

 dslugm : itol = 11   isym = 0 nsave =  7
 generalized minimum residual(441  0) for n, itol =     7    7
 iter   natral err est   error estimate
    0    1.0000000e+00    1.0000000e+00
    1    1.1574816e-01    1.1574816e-01
    2    9.8062498e-02    9.8062498e-02
    3    4.0483006e-03    4.0483006e-03
    4    1.1571749e-04    1.1571749e-04
    5    2.4877431e-06    2.4877431e-06
    6    3.6509406e-08    3.6509406e-08
 ***************** passed ***********************
 **** dslugm quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =   6 stop test =  3.65094e-08

 dslugm : itol = 11   isym = 0 nsave =  8
 generalized minimum residual(441  0) for n, itol =     8    8
 iter   natral err est   error estimate
    0    1.0000000e+00    1.0000000e+00
    1    1.1574816e-01    1.1574816e-01
    2    9.8062498e-02    9.8062498e-02
    3    4.0483006e-03    4.0483006e-03
    4    1.1571749e-04    1.1571749e-04
    5    2.4877431e-06    2.4877431e-06
    6    3.6509406e-08    3.6509406e-08
 ***************** passed ***********************
 **** dslugm quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =   6 stop test =  3.65094e-08

 dslugm : itol = 11   isym = 0 nsave =  9
 generalized minimum residual(441  0) for n, itol =     9    9
 iter   natral err est   error estimate
    0    1.0000000e+00    1.0000000e+00
    1    1.1574816e-01    1.1574816e-01
    2    9.8062498e-02    9.8062498e-02
    3    4.0483006e-03    4.0483006e-03
    4    1.1571749e-04    1.1571749e-04
    5    2.4877431e-06    2.4877431e-06
    6    3.6509406e-08    3.6509406e-08
 ***************** passed ***********************
 **** dslugm quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =   6 stop test =  3.65094e-08

 dslugm : itol = 11   isym = 0 nsave = 10
 generalized minimum residual(441  0) for n, itol =    10   10
 iter   natral err est   error estimate
    0    1.0000000e+00    1.0000000e+00
    1    1.1574816e-01    1.1574816e-01
    2    9.8062498e-02    9.8062498e-02
    3    4.0483006e-03    4.0483006e-03
    4    1.1571749e-04    1.1571749e-04
    5    2.4877431e-06    2.4877431e-06
    6    3.6509406e-08    3.6509406e-08
 ***************** passed ***********************
 **** dslugm quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =   6 stop test =  3.65094e-08

 dslugm : itol = 11   isym = 0 nsave = 11
 generalized minimum residual(441  0) for n, itol =    11   11
 iter   natral err est   error estimate
    0    1.0000000e+00    1.0000000e+00
    1    1.1574816e-01    1.1574816e-01
    2    9.8062498e-02    9.8062498e-02
    3    4.0483006e-03    4.0483006e-03
    4    1.1571749e-04    1.1571749e-04
    5    2.4877431e-06    2.4877431e-06
    6    3.6509406e-08    3.6509406e-08
 ***************** passed ***********************
 **** dslugm quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =   6 stop test =  3.65094e-08

 dslugm : itol = 11   isym = 0 nsave = 12
 generalized minimum residual(441  0) for n, itol =    12   12
 iter   natral err est   error estimate
    0    1.0000000e+00    1.0000000e+00
    1    1.1574816e-01    1.1574816e-01
    2    9.8062498e-02    9.8062498e-02
    3    4.0483006e-03    4.0483006e-03
    4    1.1571749e-04    1.1571749e-04
    5    2.4877431e-06    2.4877431e-06
    6    3.6509406e-08    3.6509406e-08
 ***************** passed ***********************
 **** dslugm quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =   6 stop test =  3.65094e-08

                * random matrix of size  441*
                number of non-zeros & density = 16807   1.7283951e-01
                error tolerance =    1.0000000e-06

 dsjac  : itol = 11   isym = 1
     iter =    0 error estimate =    1.0000000e+00
     iter =    1 error estimate =    8.2377007e-01
     iter =    2 error estimate =    8.0181945e-01
     iter =    3 error estimate =    7.7997578e-01
     iter =    4 error estimate =    7.5950089e-01
     iter =    5 error estimate =    7.3936320e-01
     iter =    6 error estimate =    7.1981134e-01
     iter =    7 error estimate =    7.0076234e-01
     iter =    8 error estimate =    6.8222130e-01
     iter =    9 error estimate =    6.6416982e-01
     iter =   10 error estimate =    6.4659626e-01
     iter =   11 error estimate =    6.2948762e-01
     iter =   12 error estimate =    6.1283168e-01
     iter =   13 error estimate =    5.9661645e-01
     iter =   14 error estimate =    5.8083027e-01
     iter =   15 error estimate =    5.6546178e-01
     iter =   16 error estimate =    5.5049993e-01
     iter =   17 error estimate =    5.3593397e-01
     iter =   18 error estimate =    5.2175341e-01
     iter =   19 error estimate =    5.0794806e-01
     iter =   20 error estimate =    4.9450800e-01
     iter =   21 error estimate =    4.8142356e-01
     iter =   22 error estimate =    4.6868532e-01
     iter =   23 error estimate =    4.5628413e-01
     iter =   24 error estimate =    4.4421107e-01
     iter =   25 error estimate =    4.3245746e-01
     iter =   26 error estimate =    4.2101485e-01
     iter =   27 error estimate =    4.0987499e-01
     iter =   28 error estimate =    3.9902990e-01
     iter =   29 error estimate =    3.8847176e-01
     iter =   30 error estimate =    3.7819298e-01
     iter =   31 error estimate =    3.6818618e-01
     iter =   32 error estimate =    3.5844415e-01
     iter =   33 error estimate =    3.4895989e-01
     iter =   34 error estimate =    3.3972658e-01
     iter =   35 error estimate =    3.3073758e-01
     iter =   36 error estimate =    3.2198642e-01
     iter =   37 error estimate =    3.1346681e-01
     iter =   38 error estimate =    3.0517263e-01
     iter =   39 error estimate =    2.9709791e-01
     iter =   40 error estimate =    2.8923684e-01
     iter =   41 error estimate =    2.8158377e-01
     iter =   42 error estimate =    2.7413320e-01
     iter =   43 error estimate =    2.6687977e-01
     iter =   44 error estimate =    2.5981826e-01
     iter =   45 error estimate =    2.5294359e-01
     iter =   46 error estimate =    2.4625083e-01
     iter =   47 error estimate =    2.3973515e-01
     iter =   48 error estimate =    2.3339187e-01
     iter =   49 error estimate =    2.2721643e-01
     iter =   50 error estimate =    2.2120440e-01
     iter =   51 error estimate =    2.1535143e-01
     iter =   52 error estimate =    2.0965334e-01
     iter =   53 error estimate =    2.0410601e-01
     iter =   54 error estimate =    1.9870546e-01
     iter =   55 error estimate =    1.9344781e-01
     iter =   56 error estimate =    1.8832928e-01
     iter =   57 error estimate =    1.8334617e-01
     iter =   58 error estimate =    1.7849492e-01
     iter =   59 error estimate =    1.7377203e-01
     iter =   60 error estimate =    1.6917411e-01
     iter =   61 error estimate =    1.6469784e-01
     iter =   62 error estimate =    1.6034002e-01
     iter =   63 error estimate =    1.5609750e-01
     iter =   64 error estimate =    1.5196723e-01
     iter =   65 error estimate =    1.4794625e-01
     iter =   66 error estimate =    1.4403166e-01
     iter =   67 error estimate =    1.4022066e-01
     iter =   68 error estimate =    1.3651048e-01
     iter =   69 error estimate =    1.3289848e-01
     iter =   70 error estimate =    1.2938205e-01
     iter =   71 error estimate =    1.2595867e-01
     iter =   72 error estimate =    1.2262586e-01
     iter =   73 error estimate =    1.1938124e-01
     iter =   74 error estimate =    1.1622247e-01
     iter =   75 error estimate =    1.1314728e-01
     iter =   76 error estimate =    1.1015345e-01
     iter =   77 error estimate =    1.0723885e-01
     iter =   78 error estimate =    1.0440136e-01
     iter =   79 error estimate =    1.0163895e-01
     iter =   80 error estimate =    9.8949631e-02
     iter =   81 error estimate =    9.6331471e-02
     iter =   82 error estimate =    9.3782587e-02
     iter =   83 error estimate =    9.1301145e-02
     iter =   84 error estimate =    8.8885360e-02
     iter =   85 error estimate =    8.6533496e-02
     iter =   86 error estimate =    8.4243862e-02
     iter =   87 error estimate =    8.2014809e-02
     iter =   88 error estimate =    7.9844737e-02
     iter =   89 error estimate =    7.7732083e-02
     iter =   90 error estimate =    7.5675330e-02
     iter =   91 error estimate =    7.3672997e-02
     iter =   92 error estimate =    7.1723645e-02
     iter =   93 error estimate =    6.9825872e-02
     iter =   94 error estimate =    6.7978313e-02
     iter =   95 error estimate =    6.6179639e-02
     iter =   96 error estimate =    6.4428558e-02
     iter =   97 error estimate =    6.2723809e-02
     iter =   98 error estimate =    6.1064167e-02
     iter =   99 error estimate =    5.9448438e-02
     iter =  100 error estimate =    5.7875461e-02
     iter =  101 error estimate =    5.6344104e-02
     iter =  102 error estimate =    5.4853266e-02
     iter =  103 error estimate =    5.3401875e-02
     iter =  104 error estimate =    5.1988887e-02
     iter =  105 error estimate =    5.0613286e-02
     iter =  106 error estimate =    4.9274083e-02
     iter =  107 error estimate =    4.7970314e-02
     iter =  108 error estimate =    4.6701043e-02
     iter =  109 error estimate =    4.5465356e-02
     iter =  110 error estimate =    4.4262364e-02
     iter =  111 error estimate =    4.3091203e-02
     iter =  112 error estimate =    4.1951031e-02
     iter =  113 error estimate =    4.0841027e-02
     iter =  114 error estimate =    3.9760393e-02
     iter =  115 error estimate =    3.8708352e-02
     iter =  116 error estimate =    3.7684147e-02
     iter =  117 error estimate =    3.6687043e-02
     iter =  118 error estimate =    3.5716321e-02
     iter =  119 error estimate =    3.4771285e-02
     iter =  120 error estimate =    3.3851253e-02
     iter =  121 error estimate =    3.2955565e-02
     iter =  122 error estimate =    3.2083577e-02
     iter =  123 error estimate =    3.1234661e-02
     iter =  124 error estimate =    3.0408207e-02
     iter =  125 error estimate =    2.9603620e-02
     iter =  126 error estimate =    2.8820322e-02
     iter =  127 error estimate =    2.8057751e-02
     iter =  128 error estimate =    2.7315356e-02
     iter =  129 error estimate =    2.6592605e-02
     iter =  130 error estimate =    2.5888977e-02
     iter =  131 error estimate =    2.5203967e-02
     iter =  132 error estimate =    2.4537082e-02
     iter =  133 error estimate =    2.3887843e-02
     iter =  134 error estimate =    2.3255782e-02
     iter =  135 error estimate =    2.2640445e-02
     iter =  136 error estimate =    2.2041390e-02
     iter =  137 error estimate =    2.1458185e-02
     iter =  138 error estimate =    2.0890412e-02
     iter =  139 error estimate =    2.0337662e-02
     iter =  140 error estimate =    1.9799537e-02
     iter =  141 error estimate =    1.9275651e-02
     iter =  142 error estimate =    1.8765626e-02
     iter =  143 error estimate =    1.8269097e-02
     iter =  144 error estimate =    1.7785705e-02
     iter =  145 error estimate =    1.7315104e-02
     iter =  146 error estimate =    1.6856955e-02
     iter =  147 error estimate =    1.6410928e-02
     iter =  148 error estimate =    1.5976703e-02
     iter =  149 error estimate =    1.5553967e-02
     iter =  150 error estimate =    1.5142416e-02
     iter =  151 error estimate =    1.4741755e-02
     iter =  152 error estimate =    1.4351695e-02
     iter =  153 error estimate =    1.3971956e-02
     iter =  154 error estimate =    1.3602265e-02
     iter =  155 error estimate =    1.3242356e-02
     iter =  156 error estimate =    1.2891969e-02
     iter =  157 error estimate =    1.2550854e-02
     iter =  158 error estimate =    1.2218764e-02
     iter =  159 error estimate =    1.1895462e-02
     iter =  160 error estimate =    1.1580714e-02
     iter =  161 error estimate =    1.1274293e-02
     iter =  162 error estimate =    1.0975981e-02
     iter =  163 error estimate =    1.0685562e-02
     iter =  164 error estimate =    1.0402827e-02
     iter =  165 error estimate =    1.0127573e-02
     iter =  166 error estimate =    9.8596025e-03
     iter =  167 error estimate =    9.5987222e-03
     iter =  168 error estimate =    9.3447446e-03
     iter =  169 error estimate =    9.0974871e-03
     iter =  170 error estimate =    8.8567720e-03
     iter =  171 error estimate =    8.6224260e-03
     iter =  172 error estimate =    8.3942808e-03
     iter =  173 error estimate =    8.1721721e-03
     iter =  174 error estimate =    7.9559404e-03
     iter =  175 error estimate =    7.7454300e-03
     iter =  176 error estimate =    7.5404897e-03
     iter =  177 error estimate =    7.3409719e-03
     iter =  178 error estimate =    7.1467333e-03
     iter =  179 error estimate =    6.9576342e-03
     iter =  180 error estimate =    6.7735385e-03
     iter =  181 error estimate =    6.5943140e-03
     iter =  182 error estimate =    6.4198316e-03
     iter =  183 error estimate =    6.2499659e-03
     iter =  184 error estimate =    6.0845948e-03
     iter =  185 error estimate =    5.9235994e-03
     iter =  186 error estimate =    5.7668638e-03
     iter =  187 error estimate =    5.6142753e-03
     iter =  188 error estimate =    5.4657243e-03
     iter =  189 error estimate =    5.3211038e-03
     iter =  190 error estimate =    5.1803100e-03
     iter =  191 error estimate =    5.0432415e-03
     iter =  192 error estimate =    4.9097997e-03
     iter =  193 error estimate =    4.7798888e-03
     iter =  194 error estimate =    4.6534152e-03
     iter =  195 error estimate =    4.5302881e-03
     iter =  196 error estimate =    4.4104188e-03
     iter =  197 error estimate =    4.2937213e-03
     iter =  198 error estimate =    4.1801115e-03
     iter =  199 error estimate =    4.0695077e-03
     iter =  200 error estimate =    3.9618305e-03
     iter =  201 error estimate =    3.8570024e-03
     iter =  202 error estimate =    3.7549479e-03
     iter =  203 error estimate =    3.6555938e-03
     iter =  204 error estimate =    3.5588686e-03
     iter =  205 error estimate =    3.4647026e-03
     iter =  206 error estimate =    3.3730282e-03
     iter =  207 error estimate =    3.2837795e-03
     iter =  208 error estimate =    3.1968923e-03
     iter =  209 error estimate =    3.1123041e-03
     iter =  210 error estimate =    3.0299540e-03
     iter =  211 error estimate =    2.9497829e-03
     iter =  212 error estimate =    2.8717330e-03
     iter =  213 error estimate =    2.7957483e-03
     iter =  214 error estimate =    2.7217742e-03
     iter =  215 error estimate =    2.6497573e-03
     iter =  216 error estimate =    2.5796460e-03
     iter =  217 error estimate =    2.5113898e-03
     iter =  218 error estimate =    2.4449397e-03
     iter =  219 error estimate =    2.3802477e-03
     iter =  220 error estimate =    2.3172675e-03
     iter =  221 error estimate =    2.2559537e-03
     iter =  222 error estimate =    2.1962623e-03
     iter =  223 error estimate =    2.1381502e-03
     iter =  224 error estimate =    2.0815758e-03
     iter =  225 error estimate =    2.0264983e-03
     iter =  226 error estimate =    1.9728781e-03
     iter =  227 error estimate =    1.9206767e-03
     iter =  228 error estimate =    1.8698566e-03
     iter =  229 error estimate =    1.8203810e-03
     iter =  230 error estimate =    1.7722146e-03
     iter =  231 error estimate =    1.7253227e-03
     iter =  232 error estimate =    1.6796715e-03
     iter =  233 error estimate =    1.6352282e-03
     iter =  234 error estimate =    1.5919608e-03
     iter =  235 error estimate =    1.5498383e-03
     iter =  236 error estimate =    1.5088303e-03
     iter =  237 error estimate =    1.4689074e-03
     iter =  238 error estimate =    1.4300408e-03
     iter =  239 error estimate =    1.3922026e-03
     iter =  240 error estimate =    1.3553656e-03
     iter =  241 error estimate =    1.3195033e-03
     iter =  242 error estimate =    1.2845899e-03
     iter =  243 error estimate =    1.2506002e-03
     iter =  244 error estimate =    1.2175099e-03
     iter =  245 error estimate =    1.1852952e-03
     iter =  246 error estimate =    1.1539329e-03
     iter =  247 error estimate =    1.1234004e-03
     iter =  248 error estimate =    1.0936757e-03
     iter =  249 error estimate =    1.0647376e-03
     iter =  250 error estimate =    1.0365652e-03
     iter =  251 error estimate =    1.0091381e-03
     iter =  252 error estimate =    9.8243683e-04
     iter =  253 error estimate =    9.5644202e-04
     iter =  254 error estimate =    9.3113502e-04
     iter =  255 error estimate =    9.0649764e-04
     iter =  256 error estimate =    8.8251214e-04
     iter =  257 error estimate =    8.5916130e-04
     iter =  258 error estimate =    8.3642830e-04
     iter =  259 error estimate =    8.1429681e-04
     iter =  260 error estimate =    7.9275091e-04
     iter =  261 error estimate =    7.7177510e-04
     iter =  262 error estimate =    7.5135430e-04
     iter =  263 error estimate =    7.3147383e-04
     iter =  264 error estimate =    7.1211938e-04
     iter =  265 error estimate =    6.9327704e-04
     iter =  266 error estimate =    6.7493326e-04
     iter =  267 error estimate =    6.5707485e-04
     iter =  268 error estimate =    6.3968897e-04
     iter =  269 error estimate =    6.2276311e-04
     iter =  270 error estimate =    6.0628509e-04
     iter =  271 error estimate =    5.9024308e-04
     iter =  272 error estimate =    5.7462553e-04
     iter =  273 error estimate =    5.5942122e-04
     iter =  274 error estimate =    5.4461920e-04
     iter =  275 error estimate =    5.3020884e-04
     iter =  276 error estimate =    5.1617976e-04
     iter =  277 error estimate =    5.0252190e-04
     iter =  278 error estimate =    4.8922541e-04
     iter =  279 error estimate =    4.7628074e-04
     iter =  280 error estimate =    4.6367858e-04
     iter =  281 error estimate =    4.5140987e-04
     iter =  282 error estimate =    4.3946578e-04
     iter =  283 error estimate =    4.2783772e-04
     iter =  284 error estimate =    4.1651734e-04
     iter =  285 error estimate =    4.0549649e-04
     iter =  286 error estimate =    3.9476725e-04
     iter =  287 error estimate =    3.8432190e-04
     iter =  288 error estimate =    3.7415293e-04
     iter =  289 error estimate =    3.6425302e-04
     iter =  290 error estimate =    3.5461506e-04
     iter =  291 error estimate =    3.4523212e-04
     iter =  292 error estimate =    3.3609744e-04
     iter =  293 error estimate =    3.2720446e-04
     iter =  294 error estimate =    3.1854679e-04
     iter =  295 error estimate =    3.1011819e-04
     iter =  296 error estimate =    3.0191262e-04
     iter =  297 error estimate =    2.9392415e-04
     iter =  298 error estimate =    2.8614706e-04
     iter =  299 error estimate =    2.7857575e-04
     iter =  300 error estimate =    2.7120477e-04
     iter =  301 error estimate =    2.6402882e-04
     iter =  302 error estimate =    2.5704274e-04
     iter =  303 error estimate =    2.5024151e-04
     iter =  304 error estimate =    2.4362024e-04
     iter =  305 error estimate =    2.3717417e-04
     iter =  306 error estimate =    2.3089866e-04
     iter =  307 error estimate =    2.2478919e-04
     iter =  308 error estimate =    2.1884137e-04
     iter =  309 error estimate =    2.1305094e-04
     iter =  310 error estimate =    2.0741371e-04
     iter =  311 error estimate =    2.0192564e-04
     iter =  312 error estimate =    1.9658279e-04
     iter =  313 error estimate =    1.9138130e-04
     iter =  314 error estimate =    1.8631744e-04
     iter =  315 error estimate =    1.8138757e-04
     iter =  316 error estimate =    1.7658815e-04
     iter =  317 error estimate =    1.7191571e-04
     iter =  318 error estimate =    1.6736690e-04
     iter =  319 error estimate =    1.6293845e-04
     iter =  320 error estimate =    1.5862718e-04
     iter =  321 error estimate =    1.5442998e-04
     iter =  322 error estimate =    1.5034384e-04
     iter =  323 error estimate =    1.4636581e-04
     iter =  324 error estimate =    1.4249304e-04
     iter =  325 error estimate =    1.3872275e-04
     iter =  326 error estimate =    1.3505221e-04
     iter =  327 error estimate =    1.3147879e-04
     iter =  328 error estimate =    1.2799993e-04
     iter =  329 error estimate =    1.2461311e-04
     iter =  330 error estimate =    1.2131591e-04
     iter =  331 error estimate =    1.1810595e-04
     iter =  332 error estimate =    1.1498092e-04
     iter =  333 error estimate =    1.1193858e-04
     iter =  334 error estimate =    1.0897674e-04
     iter =  335 error estimate =    1.0609327e-04
     iter =  336 error estimate =    1.0328609e-04
     iter =  337 error estimate =    1.0055319e-04
     iter =  338 error estimate =    9.7892599e-05
     iter =  339 error estimate =    9.5302408e-05
     iter =  340 error estimate =    9.2780752e-05
     iter =  341 error estimate =    9.0325818e-05
     iter =  342 error estimate =    8.7935840e-05
     iter =  343 error estimate =    8.5609100e-05
     iter =  344 error estimate =    8.3343924e-05
     iter =  345 error estimate =    8.1138684e-05
     iter =  346 error estimate =    7.8991793e-05
     iter =  347 error estimate =    7.6901708e-05
     iter =  348 error estimate =    7.4866926e-05
     iter =  349 error estimate =    7.2885983e-05
     iter =  350 error estimate =    7.0957455e-05
     iter =  351 error estimate =    6.9079955e-05
     iter =  352 error estimate =    6.7252132e-05
     iter =  353 error estimate =    6.5472673e-05
     iter =  354 error estimate =    6.3740298e-05
     iter =  355 error estimate =    6.2053760e-05
     iter =  356 error estimate =    6.0411847e-05
     iter =  357 error estimate =    5.8813379e-05
     iter =  358 error estimate =    5.7257205e-05
     iter =  359 error estimate =    5.5742207e-05
     iter =  360 error estimate =    5.4267295e-05
     iter =  361 error estimate =    5.2831408e-05
     iter =  362 error estimate =    5.1433515e-05
     iter =  363 error estimate =    5.0072608e-05
     iter =  364 error estimate =    4.8747711e-05
     iter =  365 error estimate =    4.7457870e-05
     iter =  366 error estimate =    4.6202158e-05
     iter =  367 error estimate =    4.4979671e-05
     iter =  368 error estimate =    4.3789530e-05
     iter =  369 error estimate =    4.2630880e-05
     iter =  370 error estimate =    4.1502888e-05
     iter =  371 error estimate =    4.0404741e-05
     iter =  372 error estimate =    3.9335651e-05
     iter =  373 error estimate =    3.8294849e-05
     iter =  374 error estimate =    3.7281585e-05
     iter =  375 error estimate =    3.6295133e-05
     iter =  376 error estimate =    3.5334781e-05
     iter =  377 error estimate =    3.4399839e-05
     iter =  378 error estimate =    3.3489636e-05
     iter =  379 error estimate =    3.2603517e-05
     iter =  380 error estimate =    3.1740843e-05
     iter =  381 error estimate =    3.0900996e-05
     iter =  382 error estimate =    3.0083370e-05
     iter =  383 error estimate =    2.9287379e-05
     iter =  384 error estimate =    2.8512449e-05
     iter =  385 error estimate =    2.7758023e-05
     iter =  386 error estimate =    2.7023559e-05
     iter =  387 error estimate =    2.6308529e-05
     iter =  388 error estimate =    2.5612418e-05
     iter =  389 error estimate =    2.4934725e-05
     iter =  390 error estimate =    2.4274964e-05
     iter =  391 error estimate =    2.3632660e-05
     iter =  392 error estimate =    2.3007352e-05
     iter =  393 error estimate =    2.2398588e-05
     iter =  394 error estimate =    2.1805932e-05
     iter =  395 error estimate =    2.1228958e-05
     iter =  396 error estimate =    2.0667250e-05
     iter =  397 error estimate =    2.0120404e-05
     iter =  398 error estimate =    1.9588028e-05
     iter =  399 error estimate =    1.9069738e-05
     iter =  400 error estimate =    1.8565162e-05
     iter =  401 error estimate =    1.8073937e-05
     iter =  402 error estimate =    1.7595709e-05
     iter =  403 error estimate =    1.7130135e-05
     iter =  404 error estimate =    1.6676880e-05
     iter =  405 error estimate =    1.6235618e-05
     iter =  406 error estimate =    1.5806031e-05
     iter =  407 error estimate =    1.5387811e-05
     iter =  408 error estimate =    1.4980657e-05
     iter =  409 error estimate =    1.4584276e-05
     iter =  410 error estimate =    1.4198383e-05
     iter =  411 error estimate =    1.3822701e-05
     iter =  412 error estimate =    1.3456959e-05
     iter =  413 error estimate =    1.3100894e-05
     iter =  414 error estimate =    1.2754251e-05
     iter =  415 error estimate =    1.2416779e-05
     iter =  416 error estimate =    1.2088237e-05
     iter =  417 error estimate =    1.1768388e-05
     iter =  418 error estimate =    1.1457002e-05
     iter =  419 error estimate =    1.1153856e-05
     iter =  420 error estimate =    1.0858730e-05
     iter =  421 error estimate =    1.0571413e-05
     iter =  422 error estimate =    1.0291699e-05
     iter =  423 error estimate =    1.0019385e-05
     iter =  424 error estimate =    9.7542770e-06
     iter =  425 error estimate =    9.4961836e-06
     iter =  426 error estimate =    9.2449191e-06
     iter =  427 error estimate =    9.0003030e-06
     iter =  428 error estimate =    8.7621593e-06
     iter =  429 error estimate =    8.5303167e-06
     iter =  430 error estimate =    8.3046087e-06
     iter =  431 error estimate =    8.0848727e-06
     iter =  432 error estimate =    7.8709508e-06
     iter =  433 error estimate =    7.6626893e-06
     iter =  434 error estimate =    7.4599382e-06
     iter =  435 error estimate =    7.2625518e-06
     iter =  436 error estimate =    7.0703882e-06
     iter =  437 error estimate =    6.8833091e-06
     iter =  438 error estimate =    6.7011800e-06
     iter =  439 error estimate =    6.5238700e-06
     iter =  440 error estimate =    6.3512516e-06
     iter =  441 error estimate =    6.1832005e-06
     iter =  442 error estimate =    6.0195960e-06
     iter =  443 error estimate =    5.8603204e-06
     iter =  444 error estimate =    5.7052591e-06
     iter =  445 error estimate =    5.5543007e-06
     iter =  446 error estimate =    5.4073365e-06
     iter =  447 error estimate =    5.2642610e-06
     iter =  448 error estimate =    5.1249712e-06
     iter =  449 error estimate =    4.9893669e-06
     iter =  450 error estimate =    4.8573507e-06
     iter =  451 error estimate =    4.7288275e-06
     iter =  452 error estimate =    4.6037050e-06
     iter =  453 error estimate =    4.4818932e-06
     iter =  454 error estimate =    4.3633044e-06
     iter =  455 error estimate =    4.2478535e-06
     iter =  456 error estimate =    4.1354573e-06
     iter =  457 error estimate =    4.0260351e-06
     iter =  458 error estimate =    3.9195081e-06
     iter =  459 error estimate =    3.8157998e-06
     iter =  460 error estimate =    3.7148356e-06
     iter =  461 error estimate =    3.6165428e-06
     iter =  462 error estimate =    3.5208509e-06
     iter =  463 error estimate =    3.4276908e-06
     iter =  464 error estimate =    3.3369958e-06
     iter =  465 error estimate =    3.2487005e-06
     iter =  466 error estimate =    3.1627414e-06
     iter =  467 error estimate =    3.0790568e-06
     iter =  468 error estimate =    2.9975864e-06
     iter =  469 error estimate =    2.9182717e-06
     iter =  470 error estimate =    2.8410557e-06
     iter =  471 error estimate =    2.7658827e-06
     iter =  472 error estimate =    2.6926988e-06
     iter =  473 error estimate =    2.6214512e-06
     iter =  474 error estimate =    2.5520889e-06
     iter =  475 error estimate =    2.4845619e-06
     iter =  476 error estimate =    2.4188215e-06
     iter =  477 error estimate =    2.3548207e-06
     iter =  478 error estimate =    2.2925133e-06
     iter =  479 error estimate =    2.2318545e-06
     iter =  480 error estimate =    2.1728007e-06
     iter =  481 error estimate =    2.1153094e-06
     iter =  482 error estimate =    2.0593393e-06
     iter =  483 error estimate =    2.0048502e-06
     iter =  484 error estimate =    1.9518028e-06
     iter =  485 error estimate =    1.9001591e-06
     iter =  486 error estimate =    1.8498818e-06
     iter =  487 error estimate =    1.8009348e-06
     iter =  488 error estimate =    1.7532829e-06
     iter =  489 error estimate =    1.7068919e-06
     iter =  490 error estimate =    1.6617283e-06
     iter =  491 error estimate =    1.6177598e-06
     iter =  492 error estimate =    1.5749547e-06
     iter =  493 error estimate =    1.5332821e-06
     iter =  494 error estimate =    1.4927122e-06
     iter =  495 error estimate =    1.4532158e-06
     iter =  496 error estimate =    1.4147644e-06
     iter =  497 error estimate =    1.3773304e-06
     iter =  498 error estimate =    1.3408869e-06
     iter =  499 error estimate =    1.3054077e-06
     iter =  500 error estimate =    1.2708672e-06
     iter =  501 error estimate =    1.2372407e-06
     iter =  502 error estimate =    1.2045039e-06
     iter =  503 error estimate =    1.1726333e-06
     iter =  504 error estimate =    1.1416060e-06
     iter =  505 error estimate =    1.1113996e-06
     iter =  506 error estimate =    1.0819925e-06
     iter =  507 error estimate =    1.0533635e-06
     iter =  508 error estimate =    1.0254920e-06
     iter =  509 error estimate =    9.9835799e-07
 ***************** passed ***********************
 **** dsjac  quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count = 509 stop test =  9.98358e-07

 dsgs   : itol = 11   isym = 1
     iter =    0 error estimate =    1.0000000e+00
     iter =    1 error estimate =    8.1644468e-01
     iter =    2 error estimate =    7.7206492e-01
     iter =    3 error estimate =    7.3160708e-01
     iter =    4 error estimate =    6.9351994e-01
     iter =    5 error estimate =    6.5744177e-01
     iter =    6 error estimate =    6.2324235e-01
     iter =    7 error estimate =    5.9082185e-01
     iter =    8 error estimate =    5.6008779e-01
     iter =    9 error estimate =    5.3095250e-01
     iter =   10 error estimate =    5.0333280e-01
     iter =   11 error estimate =    4.7714985e-01
     iter =   12 error estimate =    4.5232892e-01
     iter =   13 error estimate =    4.2879915e-01
     iter =   14 error estimate =    4.0649338e-01
     iter =   15 error estimate =    3.8534794e-01
     iter =   16 error estimate =    3.6530246e-01
     iter =   17 error estimate =    3.4629974e-01
     iter =   18 error estimate =    3.2828552e-01
     iter =   19 error estimate =    3.1120838e-01
     iter =   20 error estimate =    2.9501958e-01
     iter =   21 error estimate =    2.7967291e-01
     iter =   22 error estimate =    2.6512456e-01
     iter =   23 error estimate =    2.5133301e-01
     iter =   24 error estimate =    2.3825888e-01
     iter =   25 error estimate =    2.2586485e-01
     iter =   26 error estimate =    2.1411555e-01
     iter =   27 error estimate =    2.0297744e-01
     iter =   28 error estimate =    1.9241873e-01
     iter =   29 error estimate =    1.8240927e-01
     iter =   30 error estimate =    1.7292049e-01
     iter =   31 error estimate =    1.6392531e-01
     iter =   32 error estimate =    1.5539806e-01
     iter =   33 error estimate =    1.4731438e-01
     iter =   34 error estimate =    1.3965121e-01
     iter =   35 error estimate =    1.3238667e-01
     iter =   36 error estimate =    1.2550003e-01
     iter =   37 error estimate =    1.1897162e-01
     iter =   38 error estimate =    1.1278282e-01
     iter =   39 error estimate =    1.0691595e-01
     iter =   40 error estimate =    1.0135427e-01
     iter =   41 error estimate =    9.6081911e-02
     iter =   42 error estimate =    9.1083811e-02
     iter =   43 error estimate =    8.6345708e-02
     iter =   44 error estimate =    8.1854077e-02
     iter =   45 error estimate =    7.7596097e-02
     iter =   46 error estimate =    7.3559613e-02
     iter =   47 error estimate =    6.9733104e-02
     iter =   48 error estimate =    6.6105647e-02
     iter =   49 error estimate =    6.2666887e-02
     iter =   50 error estimate =    5.9407008e-02
     iter =   51 error estimate =    5.6316706e-02
     iter =   52 error estimate =    5.3387158e-02
     iter =   53 error estimate =    5.0610003e-02
     iter =   54 error estimate =    4.7977314e-02
     iter =   55 error estimate =    4.5481574e-02
     iter =   56 error estimate =    4.3115661e-02
     iter =   57 error estimate =    4.0872821e-02
     iter =   58 error estimate =    3.8746651e-02
     iter =   59 error estimate =    3.6731083e-02
     iter =   60 error estimate =    3.4820363e-02
     iter =   61 error estimate =    3.3009037e-02
     iter =   62 error estimate =    3.1291935e-02
     iter =   63 error estimate =    2.9664155e-02
     iter =   64 error estimate =    2.8121051e-02
     iter =   65 error estimate =    2.6658217e-02
     iter =   66 error estimate =    2.5271479e-02
     iter =   67 error estimate =    2.3956878e-02
     iter =   68 error estimate =    2.2710662e-02
     iter =   69 error estimate =    2.1529272e-02
     iter =   70 error estimate =    2.0409338e-02
     iter =   71 error estimate =    1.9347661e-02
     iter =   72 error estimate =    1.8341212e-02
     iter =   73 error estimate =    1.7387118e-02
     iter =   74 error estimate =    1.6482654e-02
     iter =   75 error estimate =    1.5625241e-02
     iter =   76 error estimate =    1.4812429e-02
     iter =   77 error estimate =    1.4041899e-02
     iter =   78 error estimate =    1.3311451e-02
     iter =   79 error estimate =    1.2619001e-02
     iter =   80 error estimate =    1.1962571e-02
     iter =   81 error estimate =    1.1340288e-02
     iter =   82 error estimate =    1.0750376e-02
     iter =   83 error estimate =    1.0191150e-02
     iter =   84 error estimate =    9.6610152e-03
     iter =   85 error estimate =    9.1584574e-03
     iter =   86 error estimate =    8.6820421e-03
     iter =   87 error estimate =    8.2304096e-03
     iter =   88 error estimate =    7.8022707e-03
     iter =   89 error estimate =    7.3964031e-03
     iter =   90 error estimate =    7.0116485e-03
     iter =   91 error estimate =    6.6469084e-03
     iter =   92 error estimate =    6.3011419e-03
     iter =   93 error estimate =    5.9733618e-03
     iter =   94 error estimate =    5.6626325e-03
     iter =   95 error estimate =    5.3680672e-03
     iter =   96 error estimate =    5.0888248e-03
     iter =   97 error estimate =    4.8241085e-03
     iter =   98 error estimate =    4.5731624e-03
     iter =   99 error estimate =    4.3352704e-03
     iter =  100 error estimate =    4.1097532e-03
     iter =  101 error estimate =    3.8959673e-03
     iter =  102 error estimate =    3.6933024e-03
     iter =  103 error estimate =    3.5011799e-03
     iter =  104 error estimate =    3.3190515e-03
     iter =  105 error estimate =    3.1463972e-03
     iter =  106 error estimate =    2.9827243e-03
     iter =  107 error estimate =    2.8275655e-03
     iter =  108 error estimate =    2.6804779e-03
     iter =  109 error estimate =    2.5410417e-03
     iter =  110 error estimate =    2.4088589e-03
     iter =  111 error estimate =    2.2835521e-03
     iter =  112 error estimate =    2.1647636e-03
     iter =  113 error estimate =    2.0521545e-03
     iter =  114 error estimate =    1.9454031e-03
     iter =  115 error estimate =    1.8442049e-03
     iter =  116 error estimate =    1.7482709e-03
     iter =  117 error estimate =    1.6573273e-03
     iter =  118 error estimate =    1.5711145e-03
     iter =  119 error estimate =    1.4893865e-03
     iter =  120 error estimate =    1.4119099e-03
     iter =  121 error estimate =    1.3384635e-03
     iter =  122 error estimate =    1.2688378e-03
     iter =  123 error estimate =    1.2028339e-03
     iter =  124 error estimate =    1.1402635e-03
     iter =  125 error estimate =    1.0809479e-03
     iter =  126 error estimate =    1.0247179e-03
     iter =  127 error estimate =    9.7141298e-04
     iter =  128 error estimate =    9.2088090e-04
     iter =  129 error estimate =    8.7297745e-04
     iter =  130 error estimate =    8.2756590e-04
     iter =  131 error estimate =    7.8451662e-04
     iter =  132 error estimate =    7.4370673e-04
     iter =  133 error estimate =    7.0501973e-04
     iter =  134 error estimate =    6.6834520e-04
     iter =  135 error estimate =    6.3357844e-04
     iter =  136 error estimate =    6.0062023e-04
     iter =  137 error estimate =    5.6937647e-04
     iter =  138 error estimate =    5.3975799e-04
     iter =  139 error estimate =    5.1168023e-04
     iter =  140 error estimate =    4.8506306e-04
     iter =  141 error estimate =    4.5983049e-04
     iter =  142 error estimate =    4.3591049e-04
     iter =  143 error estimate =    4.1323480e-04
     iter =  144 error estimate =    3.9173867e-04
     iter =  145 error estimate =    3.7136075e-04
     iter =  146 error estimate =    3.5204288e-04
     iter =  147 error estimate =    3.3372991e-04
     iter =  148 error estimate =    3.1636956e-04
     iter =  149 error estimate =    2.9991228e-04
     iter =  150 error estimate =    2.8431110e-04
     iter =  151 error estimate =    2.6952147e-04
     iter =  152 error estimate =    2.5550119e-04
     iter =  153 error estimate =    2.4221024e-04
     iter =  154 error estimate =    2.2961067e-04
     iter =  155 error estimate =    2.1766651e-04
     iter =  156 error estimate =    2.0634368e-04
     iter =  157 error estimate =    1.9560986e-04
     iter =  158 error estimate =    1.8543440e-04
     iter =  159 error estimate =    1.7578826e-04
     iter =  160 error estimate =    1.6664390e-04
     iter =  161 error estimate =    1.5797523e-04
     iter =  162 error estimate =    1.4975749e-04
     iter =  163 error estimate =    1.4196723e-04
     iter =  164 error estimate =    1.3458221e-04
     iter =  165 error estimate =    1.2758136e-04
     iter =  166 error estimate =    1.2094469e-04
     iter =  167 error estimate =    1.1465325e-04
     iter =  168 error estimate =    1.0868908e-04
     iter =  169 error estimate =    1.0303517e-04
     iter =  170 error estimate =    9.7675364e-05
     iter =  171 error estimate =    9.2594374e-05
     iter =  172 error estimate =    8.7777693e-05
     iter =  173 error estimate =    8.3211571e-05
     iter =  174 error estimate =    7.8882975e-05
     iter =  175 error estimate =    7.4779549e-05
     iter =  176 error estimate =    7.0889580e-05
     iter =  177 error estimate =    6.7201964e-05
     iter =  178 error estimate =    6.3706175e-05
     iter =  179 error estimate =    6.0392233e-05
     iter =  180 error estimate =    5.7250680e-05
     iter =  181 error estimate =    5.4272548e-05
     iter =  182 error estimate =    5.1449336e-05
     iter =  183 error estimate =    4.8772985e-05
     iter =  184 error estimate =    4.6235855e-05
     iter =  185 error estimate =    4.3830705e-05
     iter =  186 error estimate =    4.1550669e-05
     iter =  187 error estimate =    3.9389238e-05
     iter =  188 error estimate =    3.7340243e-05
     iter =  189 error estimate =    3.5397835e-05
     iter =  190 error estimate =    3.3556470e-05
     iter =  191 error estimate =    3.1810890e-05
     iter =  192 error estimate =    3.0156115e-05
     iter =  193 error estimate =    2.8587419e-05
     iter =  194 error estimate =    2.7100326e-05
     iter =  195 error estimate =    2.5690590e-05
     iter =  196 error estimate =    2.4354187e-05
     iter =  197 error estimate =    2.3087302e-05
     iter =  198 error estimate =    2.1886320e-05
     iter =  199 error estimate =    2.0747813e-05
     iter =  200 error estimate =    1.9668529e-05
     iter =  201 error estimate =    1.8645389e-05
     iter =  202 error estimate =    1.7675471e-05
     iter =  203 error estimate =    1.6756008e-05
     iter =  204 error estimate =    1.5884375e-05
     iter =  205 error estimate =    1.5058083e-05
     iter =  206 error estimate =    1.4274774e-05
     iter =  207 error estimate =    1.3532212e-05
     iter =  208 error estimate =    1.2828278e-05
     iter =  209 error estimate =    1.2160962e-05
     iter =  210 error estimate =    1.1528359e-05
     iter =  211 error estimate =    1.0928663e-05
     iter =  212 error estimate =    1.0360164e-05
     iter =  213 error estimate =    9.8212366e-06
     iter =  214 error estimate =    9.3103441e-06
     iter =  215 error estimate =    8.8260279e-06
     iter =  216 error estimate =    8.3669054e-06
     iter =  217 error estimate =    7.9316660e-06
     iter =  218 error estimate =    7.5190674e-06
     iter =  219 error estimate =    7.1279319e-06
     iter =  220 error estimate =    6.7571429e-06
     iter =  221 error estimate =    6.4056420e-06
     iter =  222 error estimate =    6.0724259e-06
     iter =  223 error estimate =    5.7565434e-06
     iter =  224 error estimate =    5.4570929e-06
     iter =  225 error estimate =    5.1732195e-06
     iter =  226 error estimate =    4.9041130e-06
     iter =  227 error estimate =    4.6490052e-06
     iter =  228 error estimate =    4.4071679e-06
     iter =  229 error estimate =    4.1779107e-06
     iter =  230 error estimate =    3.9605793e-06
     iter =  231 error estimate =    3.7545533e-06
     iter =  232 error estimate =    3.5592446e-06
     iter =  233 error estimate =    3.3740957e-06
     iter =  234 error estimate =    3.1985781e-06
     iter =  235 error estimate =    3.0321908e-06
     iter =  236 error estimate =    2.8744588e-06
     iter =  237 error estimate =    2.7249318e-06
     iter =  238 error estimate =    2.5831832e-06
     iter =  239 error estimate =    2.4488082e-06
     iter =  240 error estimate =    2.3214232e-06
     iter =  241 error estimate =    2.2006648e-06
     iter =  242 error estimate =    2.0861880e-06
     iter =  243 error estimate =    1.9776663e-06
     iter =  244 error estimate =    1.8747898e-06
     iter =  245 error estimate =    1.7772648e-06
     iter =  246 error estimate =    1.6848130e-06
     iter =  247 error estimate =    1.5971704e-06
     iter =  248 error estimate =    1.5140870e-06
     iter =  249 error estimate =    1.4353254e-06
     iter =  250 error estimate =    1.3606610e-06
     iter =  251 error estimate =    1.2898806e-06
     iter =  252 error estimate =    1.2227821e-06
     iter =  253 error estimate =    1.1591740e-06
     iter =  254 error estimate =    1.0988747e-06
     iter =  255 error estimate =    1.0417122e-06
     iter =  256 error estimate =    9.8752320e-07
 ***************** passed ***********************
 **** dsgs   quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count = 256 stop test =  9.87523e-07

 dsilur : itol = 11   isym = 1
     iter =    0 error estimate =    1.0000000e+00
     iter =    1 error estimate =    7.8210774e-01
     iter =    2 error estimate =    7.1761473e-01
     iter =    3 error estimate =    6.5874734e-01
     iter =    4 error estimate =    6.0473011e-01
     iter =    5 error estimate =    5.5514366e-01
     iter =    6 error estimate =    5.0962326e-01
     iter =    7 error estimate =    4.6783543e-01
     iter =    8 error estimate =    4.2947410e-01
     iter =    9 error estimate =    3.9425830e-01
     iter =   10 error estimate =    3.6193011e-01
     iter =   11 error estimate =    3.3225275e-01
     iter =   12 error estimate =    3.0500886e-01
     iter =   13 error estimate =    2.7999889e-01
     iter =   14 error estimate =    2.5703969e-01
     iter =   15 error estimate =    2.3596308e-01
     iter =   16 error estimate =    2.1661470e-01
     iter =   17 error estimate =    1.9885283e-01
     iter =   18 error estimate =    1.8254740e-01
     iter =   19 error estimate =    1.6757897e-01
     iter =   20 error estimate =    1.5383792e-01
     iter =   21 error estimate =    1.4122359e-01
     iter =   22 error estimate =    1.2964361e-01
     iter =   23 error estimate =    1.1901316e-01
     iter =   24 error estimate =    1.0925438e-01
     iter =   25 error estimate =    1.0029580e-01
     iter =   26 error estimate =    9.2071791e-02
     iter =   27 error estimate =    8.4522135e-02
     iter =   28 error estimate =    7.7591532e-02
     iter =   29 error estimate =    7.1229221e-02
     iter =   30 error estimate =    6.5388603e-02
     iter =   31 error estimate =    6.0026902e-02
     iter =   32 error estimate =    5.5104847e-02
     iter =   33 error estimate =    5.0586387e-02
     iter =   34 error estimate =    4.6438430e-02
     iter =   35 error estimate =    4.2630595e-02
     iter =   36 error estimate =    3.9134994e-02
     iter =   37 error estimate =    3.5926022e-02
     iter =   38 error estimate =    3.2980178e-02
     iter =   39 error estimate =    3.0275887e-02
     iter =   40 error estimate =    2.7793340e-02
     iter =   41 error estimate =    2.5514356e-02
     iter =   42 error estimate =    2.3422242e-02
     iter =   43 error estimate =    2.1501677e-02
     iter =   44 error estimate =    1.9738594e-02
     iter =   45 error estimate =    1.8120078e-02
     iter =   46 error estimate =    1.6634277e-02
     iter =   47 error estimate =    1.5270308e-02
     iter =   48 error estimate =    1.4018181e-02
     iter =   49 error estimate =    1.2868726e-02
     iter =   50 error estimate =    1.1813522e-02
     iter =   51 error estimate =    1.0844843e-02
     iter =   52 error estimate =    9.9555933e-03
     iter =   53 error estimate =    9.1392596e-03
     iter =   54 error estimate =    8.3898632e-03
     iter =   55 error estimate =    7.7019155e-03
     iter =   56 error estimate =    7.0703777e-03
     iter =   57 error estimate =    6.4906245e-03
     iter =   58 error estimate =    5.9584095e-03
     iter =   59 error estimate =    5.4698349e-03
     iter =   60 error estimate =    5.0213221e-03
     iter =   61 error estimate =    4.6095863e-03
     iter =   62 error estimate =    4.2316118e-03
     iter =   63 error estimate =    3.8846302e-03
     iter =   64 error estimate =    3.5661003e-03
     iter =   65 error estimate =    3.2736890e-03
     iter =   66 error estimate =    3.0052547e-03
     iter =   67 error estimate =    2.7588314e-03
     iter =   68 error estimate =    2.5326141e-03
     iter =   69 error estimate =    2.3249461e-03
     iter =   70 error estimate =    2.1343064e-03
     iter =   71 error estimate =    1.9592986e-03
     iter =   72 error estimate =    1.7986410e-03
     iter =   73 error estimate =    1.6511570e-03
     iter =   74 error estimate =    1.5157662e-03
     iter =   75 error estimate =    1.3914772e-03
     iter =   76 error estimate =    1.2773796e-03
     iter =   77 error estimate =    1.1726376e-03
     iter =   78 error estimate =    1.0764843e-03
     iter =   79 error estimate =    9.8821528e-04
     iter =   80 error estimate =    9.0718411e-04
     iter =   81 error estimate =    8.3279728e-04
     iter =   82 error estimate =    7.6450999e-04
     iter =   83 error estimate =    7.0182209e-04
     iter =   84 error estimate =    6.4427444e-04
     iter =   85 error estimate =    5.9144555e-04
     iter =   86 error estimate =    5.4294850e-04
     iter =   87 error estimate =    4.9842808e-04
     iter =   88 error estimate =    4.5755823e-04
     iter =   89 error estimate =    4.2003960e-04
     iter =   90 error estimate =    3.8559741e-04
     iter =   91 error estimate =    3.5397939e-04
     iter =   92 error estimate =    3.2495397e-04
     iter =   93 error estimate =    2.9830856e-04
     iter =   94 error estimate =    2.7384800e-04
     iter =   95 error estimate =    2.5139315e-04
     iter =   96 error estimate =    2.3077954e-04
     iter =   97 error estimate =    2.1185620e-04
     iter =   98 error estimate =    1.9448452e-04
     iter =   99 error estimate =    1.7853728e-04
     iter =  100 error estimate =    1.6389767e-04
     iter =  101 error estimate =    1.5045847e-04
     iter =  102 error estimate =    1.3812125e-04
     iter =  103 error estimate =    1.2679566e-04
     iter =  104 error estimate =    1.1639873e-04
     iter =  105 error estimate =    1.0685433e-04
     iter =  106 error estimate =    9.8092541e-05
     iter =  107 error estimate =    9.0049199e-05
     iter =  108 error estimate =    8.2665390e-05
     iter =  109 error estimate =    7.5887035e-05
     iter =  110 error estimate =    6.9664489e-05
     iter =  111 error estimate =    6.3952175e-05
     iter =  112 error estimate =    5.8708257e-05
     iter =  113 error estimate =    5.3894327e-05
     iter =  114 error estimate =    4.9475128e-05
     iter =  115 error estimate =    4.5418291e-05
     iter =  116 error estimate =    4.1694105e-05
     iter =  117 error estimate =    3.8275293e-05
     iter =  118 error estimate =    3.5136815e-05
     iter =  119 error estimate =    3.2255684e-05
     iter =  120 error estimate =    2.9610799e-05
     iter =  121 error estimate =    2.7182788e-05
     iter =  122 error estimate =    2.4953867e-05
     iter =  123 error estimate =    2.2907713e-05
     iter =  124 error estimate =    2.1029338e-05
     iter =  125 error estimate =    1.9304985e-05
     iter =  126 error estimate =    1.7722025e-05
     iter =  127 error estimate =    1.6268863e-05
     iter =  128 error estimate =    1.4934857e-05
     iter =  129 error estimate =    1.3710236e-05
     iter =  130 error estimate =    1.2586031e-05
     iter =  131 error estimate =    1.1554008e-05
     iter =  132 error estimate =    1.0606608e-05
     iter =  133 error estimate =    9.7368932e-06
     iter =  134 error estimate =    8.9384923e-06
     iter =  135 error estimate =    8.2055584e-06
     iter =  136 error estimate =    7.5327232e-06
     iter =  137 error estimate =    6.9150588e-06
     iter =  138 error estimate =    6.3480413e-06
     iter =  139 error estimate =    5.8275178e-06
     iter =  140 error estimate =    5.3496760e-06
     iter =  141 error estimate =    4.9110159e-06
     iter =  142 error estimate =    4.5083249e-06
     iter =  143 error estimate =    4.1386536e-06
     iter =  144 error estimate =    3.7992944e-06
     iter =  145 error estimate =    3.4877618e-06
     iter =  146 error estimate =    3.2017741e-06
     iter =  147 error estimate =    2.9392366e-06
     iter =  148 error estimate =    2.6982266e-06
     iter =  149 error estimate =    2.4769788e-06
     iter =  150 error estimate =    2.2738727e-06
     iter =  151 error estimate =    2.0874209e-06
     iter =  152 error estimate =    1.9162576e-06
     iter =  153 error estimate =    1.7591293e-06
     iter =  154 error estimate =    1.6148851e-06
     iter =  155 error estimate =    1.4824685e-06
     iter =  156 error estimate =    1.3609098e-06
     iter =  157 error estimate =    1.2493186e-06
     iter =  158 error estimate =    1.1468777e-06
     iter =  159 error estimate =    1.0528366e-06
     iter =  160 error estimate =    9.6650660e-07
 ***************** passed ***********************
 **** dsilur quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count = 160 stop test =  9.66507e-07

 dsdcg  : itol = 11   isym = 1
 preconditioned conjugate gradient for n, itol =   441   11
 iter   error estimate            alpha             beta
    0    1.0000000e+00    0.0000000e+00    0.0000000e+00
    1    8.2430074e-01    9.8404921e-01    0.0000000e+00
    2    7.9901574e-01    1.1327491e+00    1.4721200e-02
    3    6.3349621e-01    6.8135015e+00    1.4176235e-01
    4    6.4876230e-02    4.3831377e+00    4.7687570e+00
    5    4.7775205e-03    1.0609842e+00    3.5692975e-01
    6    6.3968372e-04    9.8944039e-01    1.8716806e-02
    7    8.8123389e-05    9.9247841e-01    1.7305613e-02
    8    1.1587878e-05    1.0074109e+00    1.7661996e-02
    9    1.5871738e-06    1.0196006e+00    1.7846473e-02
   10    1.9149340e-07    1.0386856e+00    1.6857420e-02
 ***************** passed ***********************
 **** dsdcg  quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =  10 stop test =  1.91493e-07

 dsiccg : itol = 11   isym = 1
 preconditioned conjugate gradient for n, itol =   441   11
 iter   error estimate            alpha             beta
    0    1.0000000e+00    1.0386856e+00    1.6857420e-02
    1    7.8189218e-01    1.0030831e+00    1.6857420e-02
    2    2.0094916e-01    9.0885278e+00    5.0072535e-03
    3    1.7777393e-03    1.3361292e+00    2.0247826e+00
    4    5.5698899e-05    1.0216947e+00    8.9482608e-04
    5    1.1718756e-06    1.0284776e+00    9.1938850e-04
    6    1.8363253e-08    1.0025991e+00    4.4800730e-04
 ***************** passed ***********************
 **** dsiccg quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =   6 stop test =  1.83633e-08

 dsdcgn : itol = 11   isym = 1
 pcg applied to the normal equations for n, itol =   441   11
 iter   error estimate            alpha             beta
    0    1.0000000e+00    1.0333451e+00    2.1066279e-03
    1    8.6179092e-01    9.6839405e-01    2.1066279e-03
    2    8.5273523e-01    1.0050137e+00    5.8140465e-02
    3    8.5148979e-01    1.3059693e+00    1.0520115e-01
    4    8.4935257e-01    4.3276138e+00    5.1683492e-01
    5    8.3044865e-01    9.3762197e+00    4.0319555e+00
    6    6.5712383e-01    7.8553018e+00    9.6915693e+00
    7    2.5076921e-01    2.2461048e+00    5.0041906e+00
    8    6.6705754e-02    1.1020665e+00    3.2281920e-01
    9    1.7824512e-02    1.0427831e+00    7.4729356e-02
   10    4.8468004e-03    1.0133425e+00    7.3275375e-02
   11    1.3179768e-03    1.0553424e+00    7.0996253e-02
   12    3.6439176e-04    1.0238745e+00    7.6011606e-02
   13    9.7788981e-05    1.0560777e+00    7.4464076e-02
   14    2.6345374e-05    1.0430657e+00    7.2872395e-02
   15    6.8872487e-06    1.0253380e+00    7.4174541e-02
   16    1.6151544e-06    1.0204857e+00    6.9649718e-02
   17    3.9470923e-07    9.9022748e-01    5.6393875e-02
 ***************** passed ***********************
 **** dsdcgn quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =  17 stop test =  3.94709e-07

 dslucn : itol = 11   isym = 1
 pcg applied to the normal equations for n, itol =   441   11
 iter   error estimate            alpha             beta
    0    1.0000000e+00    9.9022748e-01    5.6393875e-02
    1    8.4829938e-01    1.0082290e+00    5.6393875e-02
    2    8.0041545e-01    1.8484949e+01    1.5357360e-02
    3    1.5828487e-01    9.0773975e+00    1.5879170e+01
    4    1.3969190e-02    9.6890333e-01    3.7831857e-01
    5    8.4630423e-04    9.8987727e-01    7.6552893e-03
    6    3.4988968e-05    1.0330819e+00    3.5237993e-03
    7    1.2167757e-06    1.0104936e+00    1.7483479e-03
    8    4.1218424e-08    1.0050000e+00    1.2160549e-03
 ***************** passed ***********************
 **** dslucn quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =   8 stop test =  4.12184e-08

 dsdbcg : itol = 11   isym = 1
 preconditioned biconjugate gradient for n, itol =   441   11
 iter   error estimate            alpha             beta
    0    1.0000000e+00    1.0020666e+00    3.5672091e-04
    1    8.2430074e-01    9.8404921e-01    3.5672091e-04
    2    7.9901574e-01    1.1327491e+00    1.4721200e-02
    3    6.3349621e-01    6.8135015e+00    1.4176235e-01
    4    6.4876230e-02    4.3831377e+00    4.7687570e+00
    5    4.7775205e-03    1.0609842e+00    3.5692975e-01
    6    6.3968372e-04    9.8944039e-01    1.8716806e-02
    7    8.8123389e-05    9.9247841e-01    1.7305613e-02
    8    1.1587878e-05    1.0074109e+00    1.7661996e-02
    9    1.5871738e-06    1.0196006e+00    1.7846473e-02
   10    1.9149340e-07    1.0386856e+00    1.6857420e-02
 ***************** passed ***********************
 **** dsdbcg quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =  10 stop test =  1.91493e-07

 dslubc : itol = 11   isym = 1
 preconditioned biconjugate gradient for n, itol =   441   11
 iter   error estimate            alpha             beta
    0    1.0000000e+00    1.0386856e+00    1.6857420e-02
    1    7.8189218e-01    1.0030831e+00    1.6857420e-02
    2    2.0094916e-01    9.0885278e+00    5.0072535e-03
    3    1.7777393e-03    1.3361292e+00    2.0247826e+00
    4    5.5698899e-05    1.0216947e+00    8.9482608e-04
    5    1.1718756e-06    1.0284776e+00    9.1938850e-04
    6    1.8363253e-08    1.0025991e+00    4.4800730e-04
 ***************** passed ***********************
 **** dslubc quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =   6 stop test =  1.83633e-08

 dsdcgs : itol = 11   isym = 1
 preconditioned biconjugate gradient squared for n, itol =   441   11
 iter   error estimate            alpha             beta
    0    1.0000000e+00    1.0235958e+00    1.1702714e-03
    1    8.0243134e-01    9.8419716e-01    3.7081391e+01
    2    7.5145705e-01    1.1930285e+00    1.5520438e-02
    3    4.0723561e-01    8.2823902e+00    2.0180449e-01
    4    5.9104951e-03    3.4793457e+00    5.5585716e+00
    5    1.3368529e-04    1.0407444e+00    2.1685589e-01
    6    3.4150071e-06    9.9187149e-01    1.7459747e-02
    7    9.0834415e-08    9.9277147e-01    1.8159803e-02
 ***************** passed ***********************
 **** dsdcgs quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =   7 stop test =  9.08344e-08

 dslucs : itol = 11   isym = 1
 preconditioned biconjugate gradient squared for n, itol =   441   11
 iter   error estimate            alpha             beta
    0    1.0000000e+00    9.9277147e-01    1.8159803e-02
    1    7.1583388e-01    1.0138241e+00    3.8067720e+01
    2    2.0392289e-02    1.0732179e+01    1.5519836e-02
    3    4.4283765e-05    1.1216532e+00    1.0194737e+00
    4    3.5275212e-08    1.0249943e+00    7.2182802e-04
 ***************** passed ***********************
 **** dslucs quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =   4 stop test =  3.52752e-08

 dsdomn : itol = 11   isym = 1 nsave =  0
 preconditioned orthomin(  0) for n, itol =   441   11
 iter   error estimate            alpha
    0    1.0000000e+00    1.0035362e+00
    1    8.2495433e-01    9.6713562e-01
    2    8.0286111e-01    9.7945577e-01
    3    7.7675377e-01    1.2025114e+00
    4    7.5295651e-01    1.1713046e+00
    5    6.4807674e-01    5.2352111e+00
    6    6.3606934e-01    7.2626536e-01
    7    5.2011771e-01    6.9121391e+00
    8    5.0504998e-01    1.0626683e+00
    9    4.8711524e-01    1.3558197e+00
   10    4.4001323e-01    3.6275245e+00
   11    4.3170826e-01    7.3481820e-01
   12    3.0104980e-01    1.1464982e+01
   13    2.9308413e-01    9.5752411e-01
   14    2.8048006e-01    1.6401075e+00
   15    2.6071875e-01    2.6364744e+00
   16    2.5565270e-01    7.5301059e-01
   17    1.1897344e-01    2.0234021e+01
   18    1.1599066e-01    8.8280700e-01
   19    1.0930271e-01    2.1958212e+00
   20    1.0372967e-01    1.9001611e+00
   21    1.0158822e-01    7.9661937e-01
   22    6.5779106e-03    3.5346041e+01
   23    6.4383914e-03    8.1259335e-01
   24    5.7663141e-03    3.9194445e+00
   25    5.6530345e-03    7.6424504e-01
   26    3.7175042e-03    1.2957386e+01
   27    3.6217179e-03    9.4495277e-01
   28    3.3567943e-03    2.7790226e+00
   29    3.2167697e-03    1.5553482e+00
   30    3.1295765e-03    1.0379767e+00
   31    2.3996726e-03    8.7807174e+00
   32    2.3551903e-03    7.3728013e-01
   33    2.1011528e-03    4.0936618e+00
   34    2.0295625e-03    1.2637356e+00
   35    1.9649560e-03    1.2164121e+00
   36    1.7093918e-03    4.8873962e+00
   37    1.6767243e-03    7.4727113e-01
   38    1.2957819e-03    8.6075395e+00
   39    1.2599909e-03    1.0132284e+00
   40    1.1990222e-03    1.8428200e+00
   41    1.1269332e-03    2.2492378e+00
   42    1.1023549e-03    8.4061239e-01
   43    1.4852614e-04    3.2671093e+01
   44    1.4641655e-04    7.4146786e-01
   45    1.4321804e-04    8.4190729e-01
   46    2.4173128e-05    3.1377511e+01
   47    2.3832716e-05    7.2748181e-01
   48    2.3405824e-05    6.9335930e-01
   49    1.2429582e-05    1.7781797e+01
   50    1.2071786e-05    9.6462101e-01
   51    1.1870903e-05    6.4503800e-01
   52    8.7716361e-06    9.9096888e+00
   53    8.5041962e-06    1.0749694e+00
   54    8.3800791e-06    5.6875381e-01
   55    7.5227130e-06    3.9019959e+00
   56    7.1916114e-06    1.6025079e+00
   57    7.0932644e-06    5.3792598e-01
   58    6.7747817e-06    1.7191635e+00
   59    6.1529473e-06    3.4156300e+00
   60    6.0671727e-06    5.5843632e-01
   61    5.9064952e-06    1.0183110e+00
   62    3.8785781e-06    1.2912212e+01
   63    3.8201215e-06    6.4336201e-01
   64    3.7504867e-06    7.0456159e-01
   65    1.2280281e-06    2.5484780e+01
   66    1.1922177e-06    8.8327300e-01
   67    1.1753244e-06    5.5189493e-01
   68    1.0598126e-06    3.7499505e+00
   69    1.0115534e-06    1.6579954e+00
   70    9.9825300e-07    5.1880642e-01
 ***************** passed ***********************
 **** dsdomn quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =  70 stop test =  9.98253e-07

 dsdomn : itol = 11   isym = 1 nsave =  1
 preconditioned orthomin(  1) for n, itol =   441   11
 iter   error estimate            alpha
    0    1.0000000e+00    5.1880642e-01
    1    8.2495433e-01    9.6713562e-01
    2    8.0218057e-01    9.9089602e-01
    3    7.7417449e-01    1.2940518e+00
    4    6.4046628e-01    4.9214159e+00
    5    1.0814455e-01    4.9257029e+00
    6    2.1927049e-02    1.1184417e+00
    7    1.8092210e-02    1.0014775e+00
    8    1.7349347e-02    1.1955794e+00
    9    1.5279000e-02    3.6354065e+00
   10    5.3856545e-03    5.5046579e+00
   11    1.1358754e-03    1.4014812e+00
   12    7.4954337e-04    1.0601019e+00
   13    7.1224463e-04    1.0707531e+00
   14    6.5785694e-04    2.4275489e+00
   15    3.2199661e-04    7.1111918e+00
   16    5.4350842e-05    1.7468970e+00
   17    2.9244311e-05    1.0459178e+00
   18    2.7094393e-05    1.0841493e+00
   19    2.5458422e-05    1.8399642e+00
   20    1.8204088e-05    5.1869127e+00
   21    5.9553309e-06    2.5404961e+00
   22    2.4264562e-06    1.2935531e+00
   23    1.9935591e-06    1.0353695e+00
   24    1.8834691e-06    1.3476497e+00
   25    1.5699840e-06    4.0622632e+00
   26    6.9494776e-07    3.6489643e+00
 ***************** passed ***********************
 **** dsdomn quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =  26 stop test =  6.94948e-07

 dsdomn : itol = 11   isym = 1 nsave =  2
 preconditioned orthomin(  2) for n, itol =   441   11
 iter   error estimate            alpha
    0    1.0000000e+00    3.6489643e+00
    1    8.2495433e-01    9.6713562e-01
    2    8.0218057e-01    9.9089602e-01
    3    7.7397992e-01    1.3009262e+00
    4    6.2124481e-01    5.6549422e+00
    5    5.3177894e-02    4.5583745e+00
    6    1.1011855e-03    1.0677573e+00
    7    2.8652603e-04    9.9814126e-01
    8    2.6844431e-04    1.0238591e+00
    9    2.6089282e-04    9.9692229e-01
   10    2.4664334e-04    1.9628079e+00
   11    1.6758430e-04    6.4500793e+00
   12    1.7840377e-05    2.8222890e+00
   13    1.1780956e-06    1.1260399e+00
   14    4.7325095e-07    1.0588146e+00
 ***************** passed ***********************
 **** dsdomn quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =  14 stop test =  4.73251e-07

 dsdomn : itol = 11   isym = 1 nsave =  3
 preconditioned orthomin(  3) for n, itol =   441   11
 iter   error estimate            alpha
    0    1.0000000e+00    1.0588146e+00
    1    8.2495433e-01    9.6713562e-01
    2    8.0218057e-01    9.9089602e-01
    3    7.7397992e-01    1.3009262e+00
    4    5.9749002e-01    6.5261466e+00
    5    5.4712533e-02    3.9426206e+00
    6    7.9339277e-04    1.0706256e+00
    7    3.6766365e-04    9.8911628e-01
    8    1.2278229e-04    1.0012859e+00
    9    1.1110122e-04    1.0179974e+00
   10    1.0810093e-04    1.0155403e+00
   11    9.4697713e-05    4.9050935e+00
   12    1.1157045e-05    7.2742166e+00
   13    2.5911790e-07    1.1427560e+00
 ***************** passed ***********************
 **** dsdomn quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =  13 stop test =  2.59118e-07

 dsluom : itol = 11   isym = 1 nsave =  0
 preconditioned orthomin(  0) for n, itol =   441   11
 iter   error estimate            alpha
    0    1.0000000e+00    1.1427560e+00
    1    7.8221416e-01    9.9849523e-01
    2    4.5158876e-01    5.1419863e+00
    3    4.1246337e-01    1.0704661e+00
    4    1.4957649e-01    7.7983716e+00
    5    1.3608123e-01    1.0361332e+00
    6    5.8261192e-02    6.9958878e+00
    7    5.3056019e-02    1.0435714e+00
    8    2.4310107e-02    6.6255852e+00
    9    2.2151575e-02    1.0469381e+00
   10    1.0189415e-02    6.6033141e+00
   11    9.2863977e-03    1.0459325e+00
   12    4.2438155e-03    6.6394674e+00
   13    3.8686763e-03    1.0436032e+00
   14    1.7357535e-03    6.7410426e+00
   15    1.5826944e-03    1.0401804e+00
   16    6.9169396e-04    6.8831563e+00
   17    6.3084681e-04    1.0361199e+00
   18    2.6660170e-04    7.0595094e+00
   19    2.4319910e-04    1.0316607e+00
   20    9.8728466e-05    7.2631347e+00
   21    9.0076518e-05    1.0270106e+00
   22    3.4906519e-05    7.4886389e+00
   23    3.1850694e-05    1.0223352e+00
   24    1.1714052e-05    7.7301364e+00
   25    1.0688794e-05    1.0177742e+00
   26    3.7115609e-06    7.9814714e+00
   27    3.3864708e-06    1.0134414e+00
   28    1.1055187e-06    8.2358430e+00
   29    1.0085137e-06    1.0094274e+00
   30    3.0860635e-07    8.4861299e+00
 ***************** passed ***********************
 **** dsluom quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =  30 stop test =  3.08606e-07

 dsluom : itol = 11   isym = 1 nsave =  1
 preconditioned orthomin(  1) for n, itol =   441   11
 iter   error estimate            alpha
    0    1.0000000e+00    8.4861299e+00
    1    7.8221416e-01    9.9849523e-01
    2    4.4782264e-01    5.1911728e+00
    3    4.2464230e-03    2.3370940e+00
    4    1.3454909e-03    1.0186957e+00
    5    1.2375520e-03    1.0199023e+00
    6    1.2323551e-04    1.0949513e+01
    7    2.7282057e-06    1.1369063e+00
    8    2.2740545e-06    1.0012321e+00
    9    2.1038046e-06    1.0165746e+00
   10    1.5261393e-06    3.4866305e+00
   11    1.9929003e-08    3.6367052e+00
 ***************** passed ***********************
 **** dsluom quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =  11 stop test =  1.99290e-08

 dsluom : itol = 11   isym = 1 nsave =  2
 preconditioned orthomin(  2) for n, itol =   441   11
 iter   error estimate            alpha
    0    1.0000000e+00    3.6367052e+00
    1    7.8221416e-01    9.9849523e-01
    2    4.4782264e-01    5.1911728e+00
    3    4.1949168e-03    2.3371668e+00
    4    1.2857683e-04    1.0280111e+00
    5    4.5502586e-05    1.0139841e+00
    6    4.1549583e-05    1.0522937e+00
    7    8.7927855e-06    1.0096158e+01
    8    1.9802442e-08    1.2918083e+00
 ***************** passed ***********************
 **** dsluom quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =   8 stop test =  1.98024e-08

 dsluom : itol = 11   isym = 1 nsave =  3
 preconditioned orthomin(  3) for n, itol =   441   11
 iter   error estimate            alpha
    0    1.0000000e+00    1.2918083e+00
    1    7.8221416e-01    9.9849523e-01
    2    4.4782264e-01    5.1911728e+00
    3    4.1949168e-03    2.3371668e+00
    4    1.2786174e-04    1.0280193e+00
    5    1.5981368e-06    1.0266958e+00
    6    3.9638947e-07    1.0025007e+00
 ***************** passed ***********************
 **** dsluom quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =   6 stop test =  3.96389e-07

 dsdgmr : itol = 11   isym = 1 nsave =  5
 generalized minimum residual(441  0) for n, itol =     5    5
 iter   natral err est   error estimate
    0    1.0000000e+00    1.0000000e+00
    1    1.3166429e-01    1.3166429e-01
    2    4.4128100e-02    4.4128100e-02
    3    3.9293782e-02    3.9293782e-02
    4    3.4736825e-02    3.4736825e-02
    5    8.4366426e-03    8.4366426e-03
    5    8.4366426e-03    8.4366426e-03
    6    2.9576638e-03    2.9576638e-03
    7    2.3146407e-03    2.3146407e-03
    8    2.2079255e-03    2.2079255e-03
    9    8.3159082e-04    8.3159082e-04
   10    1.0663909e-04    1.0663909e-04
   10    1.0663909e-04    1.0663909e-04
   11    1.8049668e-05    1.8049668e-05
   12    4.9352493e-06    4.9352493e-06
   13    4.3413936e-06    4.3413936e-06
   14    3.7987209e-06    3.7987209e-06
   15    1.3530726e-06    1.3530726e-06
   15    1.3530726e-06    1.3530726e-06
   16    3.8068473e-07    3.8068473e-07
 ***************** passed ***********************
 **** dsdgmr quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =  16 stop test =  3.80685e-07

 dsdgmr : itol = 11   isym = 1 nsave =  6
 generalized minimum residual(441  0) for n, itol =     6    6
 iter   natral err est   error estimate
    0    1.0000000e+00    1.0000000e+00
    1    1.3166429e-01    1.3166429e-01
    2    4.4128100e-02    4.4128100e-02
    3    3.9293782e-02    3.9293782e-02
    4    3.4736825e-02    3.4736825e-02
    5    8.4366426e-03    8.4366426e-03
    6    1.1851645e-03    1.1851645e-03
    6    1.1851645e-03    1.1851645e-03
    7    2.3093056e-04    2.3093056e-04
    8    3.8413283e-05    3.8413283e-05
    9    2.6561305e-05    2.6561305e-05
   10    2.4177217e-05    2.4177217e-05
   11    1.4058963e-05    1.4058963e-05
   12    2.2300582e-06    2.2300582e-06
   12    2.2300582e-06    2.2300582e-06
   13    5.1218158e-07    5.1218158e-07
 ***************** passed ***********************
 **** dsdgmr quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =  13 stop test =  5.12182e-07

 dsdgmr : itol = 11   isym = 1 nsave =  7
 generalized minimum residual(441  0) for n, itol =     7    7
 iter   natral err est   error estimate
    0    1.0000000e+00    1.0000000e+00
    1    1.3166429e-01    1.3166429e-01
    2    4.4128100e-02    4.4128100e-02
    3    3.9293782e-02    3.9293782e-02
    4    3.4736825e-02    3.4736825e-02
    5    8.4366426e-03    8.4366426e-03
    6    1.1851645e-03    1.1851645e-03
    7    1.5954889e-04    1.5954889e-04
    7    1.5954889e-04    1.5954889e-04
    8    3.2185878e-05    3.2185878e-05
    9    1.4360494e-05    1.4360494e-05
   10    1.3927205e-05    1.3927205e-05
   11    1.0533194e-05    1.0533194e-05
   12    2.4299557e-06    2.4299557e-06
   13    3.4448112e-07    3.4448112e-07
 ***************** passed ***********************
 **** dsdgmr quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =  13 stop test =  3.44481e-07

 dsdgmr : itol = 11   isym = 1 nsave =  8
 generalized minimum residual(441  0) for n, itol =     8    8
 iter   natral err est   error estimate
    0    1.0000000e+00    1.0000000e+00
    1    1.3166429e-01    1.3166429e-01
    2    4.4128100e-02    4.4128100e-02
    3    3.9293782e-02    3.9293782e-02
    4    3.4736825e-02    3.4736825e-02
    5    8.4366426e-03    8.4366426e-03
    6    1.1851645e-03    1.1851645e-03
    7    1.5954889e-04    1.5954889e-04
    8    2.0702656e-05    2.0702656e-05
    8    2.0702656e-05    2.0702656e-05
    9    4.1810100e-06    4.1810100e-06
   10    9.1065035e-07    9.1065035e-07
 ***************** passed ***********************
 **** dsdgmr quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =  10 stop test =  9.10650e-07

 dsdgmr : itol = 11   isym = 1 nsave =  9
 generalized minimum residual(441  0) for n, itol =     9    9
 iter   natral err est   error estimate
    0    1.0000000e+00    1.0000000e+00
    1    1.3166429e-01    1.3166429e-01
    2    4.4128100e-02    4.4128100e-02
    3    3.9293782e-02    3.9293782e-02
    4    3.4736825e-02    3.4736825e-02
    5    8.4366426e-03    8.4366426e-03
    6    1.1851645e-03    1.1851645e-03
    7    1.5954889e-04    1.5954889e-04
    8    2.0702656e-05    2.0702656e-05
    9    2.7922269e-06    2.7922269e-06
    9    2.7922269e-06    2.7922269e-06
   10    5.3061512e-07    5.3061512e-07
 ***************** passed ***********************
 **** dsdgmr quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =  10 stop test =  5.30615e-07

 dsdgmr : itol = 11   isym = 1 nsave = 10
 generalized minimum residual(441  0) for n, itol =    10   10
 iter   natral err est   error estimate
    0    1.0000000e+00    1.0000000e+00
    1    1.3166429e-01    1.3166429e-01
    2    4.4128100e-02    4.4128100e-02
    3    3.9293782e-02    3.9293782e-02
    4    3.4736825e-02    3.4736825e-02
    5    8.4366426e-03    8.4366426e-03
    6    1.1851645e-03    1.1851645e-03
    7    1.5954889e-04    1.5954889e-04
    8    2.0702656e-05    2.0702656e-05
    9    2.7922269e-06    2.7922269e-06
   10    3.4375767e-07    3.4375767e-07
 ***************** passed ***********************
 **** dsdgmr quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =  10 stop test =  3.43758e-07

 dsdgmr : itol = 11   isym = 1 nsave = 11
 generalized minimum residual(441  0) for n, itol =    11   11
 iter   natral err est   error estimate
    0    1.0000000e+00    1.0000000e+00
    1    1.3166429e-01    1.3166429e-01
    2    4.4128100e-02    4.4128100e-02
    3    3.9293782e-02    3.9293782e-02
    4    3.4736825e-02    3.4736825e-02
    5    8.4366426e-03    8.4366426e-03
    6    1.1851645e-03    1.1851645e-03
    7    1.5954889e-04    1.5954889e-04
    8    2.0702656e-05    2.0702656e-05
    9    2.7922269e-06    2.7922269e-06
   10    3.4375767e-07    3.4375767e-07
 ***************** passed ***********************
 **** dsdgmr quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =  10 stop test =  3.43758e-07

 dsdgmr : itol = 11   isym = 1 nsave = 12
 generalized minimum residual(441  0) for n, itol =    12   12
 iter   natral err est   error estimate
    0    1.0000000e+00    1.0000000e+00
    1    1.3166429e-01    1.3166429e-01
    2    4.4128100e-02    4.4128100e-02
    3    3.9293782e-02    3.9293782e-02
    4    3.4736825e-02    3.4736825e-02
    5    8.4366426e-03    8.4366426e-03
    6    1.1851645e-03    1.1851645e-03
    7    1.5954889e-04    1.5954889e-04
    8    2.0702656e-05    2.0702656e-05
    9    2.7922269e-06    2.7922269e-06
   10    3.4375767e-07    3.4375767e-07
 ***************** passed ***********************
 **** dsdgmr quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =  10 stop test =  3.43758e-07

 dslugm : itol = 11   isym = 1 nsave =  5
 generalized minimum residual(441  0) for n, itol =     5    5
 iter   natral err est   error estimate
    0    1.0000000e+00    1.0000000e+00
    1    1.2296295e-01    1.2296295e-01
    2    8.6518135e-02    8.6518135e-02
    3    3.2543886e-03    3.2543886e-03
    4    1.0035448e-04    1.0035448e-04
    5    2.1928783e-06    2.1928783e-06
    5    2.1928783e-06    2.1928783e-06
    6    1.6696455e-07    1.6696455e-07
 ***************** passed ***********************
 **** dslugm quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =   6 stop test =  1.66965e-07

 dslugm : itol = 11   isym = 1 nsave =  6
 generalized minimum residual(441  0) for n, itol =     6    6
 iter   natral err est   error estimate
    0    1.0000000e+00    1.0000000e+00
    1    1.2296295e-01    1.2296295e-01
    2    8.6518135e-02    8.6518135e-02
    3    3.2543886e-03    3.2543886e-03
    4    1.0035448e-04    1.0035448e-04
    5    2.1928783e-06    2.1928783e-06
    6    3.4488829e-08    3.4488829e-08
 ***************** passed ***********************
 **** dslugm quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =   6 stop test =  3.44888e-08

 dslugm : itol = 11   isym = 1 nsave =  7
 generalized minimum residual(441  0) for n, itol =     7    7
 iter   natral err est   error estimate
    0    1.0000000e+00    1.0000000e+00
    1    1.2296295e-01    1.2296295e-01
    2    8.6518135e-02    8.6518135e-02
    3    3.2543886e-03    3.2543886e-03
    4    1.0035448e-04    1.0035448e-04
    5    2.1928783e-06    2.1928783e-06
    6    3.4488829e-08    3.4488829e-08
 ***************** passed ***********************
 **** dslugm quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =   6 stop test =  3.44888e-08

 dslugm : itol = 11   isym = 1 nsave =  8
 generalized minimum residual(441  0) for n, itol =     8    8
 iter   natral err est   error estimate
    0    1.0000000e+00    1.0000000e+00
    1    1.2296295e-01    1.2296295e-01
    2    8.6518135e-02    8.6518135e-02
    3    3.2543886e-03    3.2543886e-03
    4    1.0035448e-04    1.0035448e-04
    5    2.1928783e-06    2.1928783e-06
    6    3.4488829e-08    3.4488829e-08
 ***************** passed ***********************
 **** dslugm quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =   6 stop test =  3.44888e-08

 dslugm : itol = 11   isym = 1 nsave =  9
 generalized minimum residual(441  0) for n, itol =     9    9
 iter   natral err est   error estimate
    0    1.0000000e+00    1.0000000e+00
    1    1.2296295e-01    1.2296295e-01
    2    8.6518135e-02    8.6518135e-02
    3    3.2543886e-03    3.2543886e-03
    4    1.0035448e-04    1.0035448e-04
    5    2.1928783e-06    2.1928783e-06
    6    3.4488829e-08    3.4488829e-08
 ***************** passed ***********************
 **** dslugm quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =   6 stop test =  3.44888e-08

 dslugm : itol = 11   isym = 1 nsave = 10
 generalized minimum residual(441  0) for n, itol =    10   10
 iter   natral err est   error estimate
    0    1.0000000e+00    1.0000000e+00
    1    1.2296295e-01    1.2296295e-01
    2    8.6518135e-02    8.6518135e-02
    3    3.2543886e-03    3.2543886e-03
    4    1.0035448e-04    1.0035448e-04
    5    2.1928783e-06    2.1928783e-06
    6    3.4488829e-08    3.4488829e-08
 ***************** passed ***********************
 **** dslugm quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =   6 stop test =  3.44888e-08

 dslugm : itol = 11   isym = 1 nsave = 11
 generalized minimum residual(441  0) for n, itol =    11   11
 iter   natral err est   error estimate
    0    1.0000000e+00    1.0000000e+00
    1    1.2296295e-01    1.2296295e-01
    2    8.6518135e-02    8.6518135e-02
    3    3.2543886e-03    3.2543886e-03
    4    1.0035448e-04    1.0035448e-04
    5    2.1928783e-06    2.1928783e-06
    6    3.4488829e-08    3.4488829e-08
 ***************** passed ***********************
 **** dslugm quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =   6 stop test =  3.44888e-08

 dslugm : itol = 11   isym = 1 nsave = 12
 generalized minimum residual(441  0) for n, itol =    12   12
 iter   natral err est   error estimate
    0    1.0000000e+00    1.0000000e+00
    1    1.2296295e-01    1.2296295e-01
    2    8.6518135e-02    8.6518135e-02
    3    3.2543886e-03    3.2543886e-03
    4    1.0035448e-04    1.0035448e-04
    5    2.1928783e-06    2.1928783e-06
    6    3.4488829e-08    3.4488829e-08
 ***************** passed ***********************
 **** dslugm quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =   6 stop test =  3.44888e-08


*******************************************************
**** all slap double precision quick checks passed ****
****                 no errors                     ****
*******************************************************
rc= 0
** dist/dnsimp.f
LM

 Ritz values (Real, Imag) and residual residuals
 
               col   1       col   2       col   3       
  row   1:    7.16197e+02   1.02958e+03   1.22559e-14
  row   2:    7.16197e+02  -1.02958e+03   1.22559e-14
  row   3:    6.87583e+02   1.02958e+03   8.19407e-15
  row   4:    6.87583e+02  -1.02958e+03   8.19407e-15
  
 
 _NSIMP 
 ====== 
 
 Size of the matrix is 100
 The number of Ritz values requested is 4
 The number of Arnoldi vectors generated (NCV) is 20
 What portion of the spectrum: LM
 The number of converged Ritz values is 4
 The number of Implicit Arnoldi update iterations taken is 26
 The number of OP*x is 408
 The convergence criterion is  1.110223024625157e-16
 
rc= 0
** dist/equivalence.f
1010101010
rc= 0
** dist/fftpack4-test.f
0n  120 rfftf   1.918e-15 rfftb   5.684e-13 rfftfb  4.441e-16 sint    3.840e-15 sintfb  1.332e-15 cost    3.923e-15
        costfb  5.884e-15 sinqf   1.123e-12 sinqb   2.813e-15 sinqfb  5.551e-16 cosqf   2.546e-15 cosqb   4.382e-15
        cosqfb  5.551e-16 dezf    3.874e-15 dezb    2.998e-14 dezfb   3.553e-15 cfftf   6.809e-15 cfftb   9.234e-14
        cfftfb  8.951e-16
0n   54 rfftf   9.540e-16 rfftb   1.030e-13 rfftfb  4.996e-16 sint    8.175e-16 sintfb  1.554e-15 cost    9.704e-16
        costfb  1.076e-15 sinqf   7.527e-14 sinqb   1.118e-15 sinqfb  8.882e-16 cosqf   2.423e-16 cosqb   6.579e-16
        cosqfb  4.163e-16 dezf    1.776e-15 dezb    7.438e-15 dezfb   9.992e-16 cfftf   4.903e-15 cfftb   1.835e-14
        cfftfb  6.474e-16
0n   49 rfftf   1.174e-15 rfftb   1.050e-13 rfftfb  1.665e-15 sint    1.097e-15 sintfb  2.109e-15 cost    9.924e-16
        costfb  3.886e-15 sinqf   2.061e-13 sinqb   8.701e-16 sinqfb  1.887e-15 cosqf   9.788e-16 cosqb   7.318e-16
        cosqfb  1.998e-15 dezf    2.512e-15 dezb    1.110e-14 dezfb   2.776e-15 cfftf   1.006e-14 cfftb   3.220e-14
        cfftfb  8.083e-16
0n   32 rfftf   5.699e-16 rfftb   3.642e-14 rfftfb  3.331e-16 sint    1.221e-15 sintfb  4.718e-16 cost    1.277e-15
        costfb  6.661e-16 sinqf   4.574e-14 sinqb   6.106e-16 sinqfb  3.331e-16 cosqf   4.094e-16 cosqb   9.992e-16
        cosqfb  2.220e-16 dezf    1.141e-15 dezb    6.800e-15 dezfb   5.551e-16 cfftf   2.192e-15 cfftb   1.199e-14
        cfftfb  4.743e-16
0n    4 rfftf   0.000e+00 rfftb   4.441e-16 rfftfb  1.110e-16 sint    5.551e-17 sintfb  0.000e+00 cost    5.551e-17
        costfb  3.331e-16 sinqf   1.110e-15 sinqb   1.388e-16 sinqfb  1.665e-16 cosqf   2.776e-17 cosqb   2.776e-17
        cosqfb  1.110e-16 dezf    0.000e+00 dezb    1.110e-16 dezfb   5.551e-17 cfftf   2.220e-16 cfftb   3.331e-16
        cfftfb  1.110e-16
0n    3 rfftf   7.401e-17 rfftb   1.110e-16 rfftfb  2.220e-16 sint    3.701e-17 sintfb  1.110e-16 cost    1.665e-16
        costfb  2.220e-16 sinqf   6.661e-16 sinqb   1.665e-16 sinqfb  1.110e-16 cosqf   9.252e-17 cosqb   1.480e-16
        cosqfb  2.220e-16 dezf    2.220e-16 dezb    2.776e-16 dezfb   1.665e-16 cfftf   3.052e-16 cfftb   3.511e-16
        cfftfb  2.776e-17
0n    2 rfftf   0.000e+00 rfftb   0.000e+00 rfftfb  5.551e-17 sint    0.000e+00 sintfb  0.000e+00 cost    0.000e+00
        costfb  0.000e+00 sinqf   2.220e-16 sinqb   5.551e-17 sinqfb  1.110e-16 cosqf   1.388e-17 cosqb   2.776e-17
        cosqfb  1.110e-16 dezf    0.000e+00 dezb    0.000e+00 dezfb   5.551e-17 cfftf   1.570e-16 cfftb   1.570e-16
        cfftfb  1.110e-16
rc= 0
** dist/fftpack51d-test.f
 
fftpack5.1_test():
  FORTRAN77 version
  Test fftpack5.1().
 
TEST01
  For complex fast Fourier transforms, 1D,
  CFFT1I initializes the transform,
  CFFT1F does a forward transform;
  CFFT1B does a backward transform.
 
  The number of data items is N = 4096
  Workspace size LENSAV =     8208
 
  The original data:
 
         1:  -1.228468e-01   -1.871080e-02
         2:   7.792095e-01   -4.495924e-01
         3:   3.866674e-01    1.573881e-02
         4:  -7.324502e-01    5.315492e-01
         5:   2.972862e-01    4.042642e-01
         6:   2.896339e-01   -7.521377e-01
         7:   1.715879e-01    6.820451e-01
         8:   5.642492e-01    4.017819e-01
  ........  ..............  ..............
      4096:   2.785087e-02    3.264577e-01
 
  The FFT coefficients:
 
         1:  -7.791712e-04   -1.697665e-03
         2:   2.691706e-03    1.711167e-02
         3:  -9.850163e-04   -5.571892e-03
         4:   7.834265e-03    4.724658e-03
         5:  -1.286497e-02    1.580526e-03
         6:   1.313721e-03    2.002341e-02
         7:   1.241405e-02    1.976439e-03
         8:   1.075364e-03   -1.011861e-03
  ........  ..............  ..............
      4096:  -6.116062e-03    5.464670e-03
 
  The retrieved data:
 
         1:  -1.228467e-01   -1.871072e-02
         2:   7.792094e-01   -4.495923e-01
         3:   3.866674e-01    1.573879e-02
         4:  -7.324501e-01    5.315491e-01
         5:   2.972862e-01    4.042642e-01
         6:   2.896339e-01   -7.521378e-01
         7:   1.715880e-01    6.820451e-01
         8:   5.642493e-01    4.017818e-01
  ........  ..............  ..............
      4096:   2.785084e-02    3.264576e-01
 
TEST02
  For complex fast Fourier transforms, 2D,
  CFFT2I initializes the transform,
  CFFT2F does a forward transform;
  CFFT2B does a backward transform.
 
  The data is stored in an L by M array, with
  L =   32
  M =   64
  Workspace size LENSAV =      211
 
  Part of the original data:
 
  Col:          1                   2                   3                   4          
  Row
  ---
    1 -1.228e-01-1.871e-02-5.990e-01-5.348e-01-9.521e-01-3.295e-02 7.241e-01 2.293e-01
    2  7.792e-01-4.496e-01 3.195e-01 3.223e-02-1.800e-01-1.336e-02 5.276e-01 3.101e-02
    3  3.867e-01 1.574e-02-9.680e-01-4.215e-02-2.232e-01 7.492e-01-1.718e-01 1.359e-01
    4 -7.325e-01 5.315e-01 8.065e-01-4.945e-01 4.580e-01-5.175e-02 6.202e-01 6.435e-01
    5  2.973e-01 4.043e-01 8.024e-01-1.963e-01 8.635e-01 4.934e-01-5.743e-01 1.719e-01
 
  Col:          5          
  Row
  ---
    1 -5.676e-03-7.491e-01
    2 -3.997e-02 9.900e-01
    3  8.095e-01 2.121e-01
    4 -8.470e-02 7.332e-01
    5  3.779e-01 4.886e-01
 
  Part of the FFT coefficients:
 
  Col:          1                   2                   3                   4          
  Row
  ---
    1 -1.169e-02 7.040e-03 3.606e-03 9.515e-05-1.935e-02-4.414e-03 2.804e-02 5.250e-03
    2  1.547e-02 1.397e-03-5.956e-03 6.147e-03 3.199e-03-1.329e-03 9.904e-03 1.175e-02
    3  9.261e-03 6.592e-03 1.391e-02 5.865e-03 1.205e-03-1.423e-03-8.495e-03-1.036e-03
    4  9.780e-03 5.867e-03-2.201e-03 1.145e-04-3.989e-04 9.938e-03-2.876e-03 7.857e-03
    5 -1.161e-02 8.162e-03-6.042e-03-2.095e-02-2.438e-02 4.868e-03 9.960e-03-5.321e-03
 
  Col:          5          
  Row
  ---
    1 -5.810e-03-4.373e-03
    2 -3.787e-03-2.489e-02
    3  3.537e-03-9.193e-03
    4 -2.679e-02 9.208e-03
    5 -1.427e-03 8.370e-03
 
  Part of the retrieved data:
 
  Col:          1                   2                   3                   4          
  Row
  ---
    1 -1.228e-01-1.871e-02-5.990e-01-5.348e-01-9.521e-01-3.295e-02 7.241e-01 2.293e-01
    2  7.792e-01-4.496e-01 3.195e-01 3.223e-02-1.800e-01-1.336e-02 5.276e-01 3.101e-02
    3  3.867e-01 1.574e-02-9.680e-01-4.215e-02-2.232e-01 7.492e-01-1.718e-01 1.359e-01
    4 -7.325e-01 5.315e-01 8.065e-01-4.945e-01 4.580e-01-5.175e-02 6.202e-01 6.435e-01
    5  2.973e-01 4.043e-01 8.024e-01-1.963e-01 8.635e-01 4.934e-01-5.743e-01 1.719e-01
 
  Col:          5          
  Row
  ---
    1 -5.676e-03-7.491e-01
    2 -3.997e-02 9.900e-01
    3  8.095e-01 2.121e-01
    4 -8.470e-02 7.332e-01
    5  3.779e-01 4.886e-01
 
TEST03
  For complex fast Fourier transforms,
  1D, multiple
  CFFTMI initializes the transform,
  CFFTMF does a forward transform;
  CFFTMB does a backward transform.
 
  The number of sequences is LOT =    6
  The length of each sequence is N =   32
  Workspace size LENSAV =       73
 
  Part of the original data:
 
  Col:          1                   2                   3                   4          
  Row
  ---
    1 -1.228e-01-1.871e-02-5.990e-01-5.348e-01-9.521e-01-3.295e-02 7.241e-01 2.293e-01
    2  7.792e-01-4.496e-01 3.195e-01 3.223e-02-1.800e-01-1.336e-02 5.276e-01 3.101e-02
    3  3.867e-01 1.574e-02-9.680e-01-4.215e-02-2.232e-01 7.492e-01-1.718e-01 1.359e-01
    4 -7.325e-01 5.315e-01 8.065e-01-4.945e-01 4.580e-01-5.175e-02 6.202e-01 6.435e-01
    5  2.973e-01 4.043e-01 8.024e-01-1.963e-01 8.635e-01 4.934e-01-5.743e-01 1.719e-01
 
  Col:          5          
  Row
  ---
    1 -5.676e-03-7.491e-01
    2 -3.997e-02 9.900e-01
    3  8.095e-01 2.121e-01
    4 -8.470e-02 7.332e-01
    5  3.779e-01 4.886e-01
 
  Part of the FFT coefficients:
 
  Col:          1                   2                   3                   4          
  Row
  ---
    1 -1.328e-01 3.489e-02-1.026e-01 5.821e-02-5.666e-02 1.702e-01 1.072e-01-2.085e-02
    2  2.731e-02-1.092e-01-5.127e-02-1.189e-01-7.121e-02 2.090e-02 7.512e-02 1.010e-01
    3 -7.854e-02-7.278e-02-6.710e-02-1.151e-01 5.246e-02-7.685e-02 7.264e-02 3.180e-03
    4  1.268e-03 8.209e-03 8.000e-03 7.360e-02-8.453e-02-2.642e-02 9.778e-02 1.137e-01
    5 -6.010e-02-1.343e-01-1.453e-01-2.028e-02-5.524e-02-1.105e-01-8.391e-02 7.648e-02
 
  Col:          5          
  Row
  ---
    1  2.441e-02 1.705e-01
    2  2.241e-01 1.331e-01
    3  1.757e-01 1.374e-01
    4 -1.456e-01-9.568e-02
    5 -4.203e-02-4.520e-02
 
  Part of the retrieved data:
 
  Col:          1                   2                   3                   4          
  Row
  ---
    1 -1.228e-01-1.871e-02-5.990e-01-5.348e-01-9.521e-01-3.295e-02 7.241e-01 2.293e-01
    2  7.792e-01-4.496e-01 3.195e-01 3.223e-02-1.800e-01-1.336e-02 5.276e-01 3.101e-02
    3  3.867e-01 1.574e-02-9.680e-01-4.215e-02-2.232e-01 7.492e-01-1.718e-01 1.359e-01
    4 -7.325e-01 5.315e-01 8.065e-01-4.945e-01 4.580e-01-5.175e-02 6.202e-01 6.435e-01
    5  2.973e-01 4.043e-01 8.024e-01-1.963e-01 8.635e-01 4.934e-01-5.743e-01 1.719e-01
 
  Col:          5          
  Row
  ---
    1 -5.676e-03-7.491e-01
    2 -3.997e-02 9.900e-01
    3  8.095e-01 2.121e-01
    4 -8.470e-02 7.332e-01
    5  3.779e-01 4.886e-01
 
TEST04
  For real fast cosine transforms, 1D,
  COSQ1I initializes the transform,
  COSQ1F does a forward transform;
  COSQ1B does a backward transform.
 
  The number of data items is N = 4096
  Workspace size LENSAV =     8208
 
  The original data:
 
         1:   1.544143e-02
         2:   5.240560e-01
         3:   8.093007e-01
         4:   9.167103e-01
         5:   1.497594e-01
         6:   6.474625e-03
         7:   8.190278e-01
         8:   4.000864e-01
  ........  ..............
      4096:   6.258278e-01
 
  The FFT coefficients:
 
         1:  7.024575e+146
         2:  3.477365e+142
         3: -7.392556e+152
         4: -4.292572e-165
         5:  -3.430856e-11
         6:  -2.098565e+03
         7: -2.695666e+157
         8: -2.709769e-168
  ........  ..............
      4096:   1.527900e-04
 
  The retrieved data:
 
         1:  1.404448e+306
         2:  1.404448e+306
         3:  1.404449e+306
         4:   0.000000e+00
         5:  2.926462e-307
         6:   0.000000e+00
         7:   0.000000e+00
         8:   0.000000e+00
  ........  ..............
      4096:   1.527900e-04
 
TEST05
  For real fast cosine transforms, 
  1D, multiple
  COSQMI initializes the transform,
  COSQMF does a forward transform;
  COSQMB does a backward transform.
 
  The number of sequences is LOT =    6
  The length of each sequence is N =   32
  Workspace size LENSAV =       73
 
  Part of the original data:
 
  Col         1             2             3             4             5       
  Row
 
    1   1.544143e-02  8.197565e-01  6.448870e-01  3.536030e-02  9.076281e-01
    2   5.240560e-01  6.474856e-01  6.159995e-01  3.004916e-01  5.055056e-01
    3   8.093007e-01  2.895583e-01  1.031127e-01  3.629781e-01  3.257641e-02
    4   9.167103e-01  6.061282e-01  1.600160e-02  5.735765e-01  5.117874e-01
    5   1.497594e-01  1.958944e-01  9.388652e-01  1.007438e-01  6.110725e-01
 
  Part of the FFT coefficients:
 
  Col         1             2             3             4             5       
  Row
 
    1  2.790696e+146-2.077526e+141-4.619823e+133  1.105009e-03  2.836338e-02
    2   7.934671e+00  6.034725e+00  8.410224e+00  1.878073e-02  3.159410e-02
    3  -2.871290e+03-1.899664e+157 9.178306e-152 -2.268613e-02 -2.036026e-03
    4  1.061100e+155 9.570987e+154 1.187286e+155  3.584853e-02  3.198671e-02
    5   2.506156e-14-2.799043e-154 -2.029454e-14 -6.296487e-03 -3.819203e-02
 
  Part of the retrieved data:
 
  Col         1             2             3             4             5       
  Row
 
    1  1.404448e+306 1.404448e+306 1.404448e+306  1.105009e-03  2.836338e-02
    2   1.052271e+03  1.021734e+03  1.193037e+03  9.390363e-03  1.579705e-02
    3   0.000000e+00  0.000000e+00  0.000000e+00  1.134307e-02  1.018013e-03
    4 -2.247118e+307-2.247118e+307-2.247117e+307  1.792427e-02  1.599336e-02
    5   0.000000e+00 2.921296e-306  0.000000e+00  3.148244e-03  1.909602e-02
 
TEST06
  For real fast cosine transforms, 1D,
  COST1I initializes the transform,
  COST1F does a forward transform;
  COST1B does a backward transform.
 
  The number of data items is N = 4096
  Workspace size LENSAV =     8208
 
  The original data:
 
         1:   1.544143e-02
         2:   5.240560e-01
         3:   8.093007e-01
         4:   9.167103e-01
         5:   1.497594e-01
         6:   6.474625e-03
         7:   8.190278e-01
         8:   4.000864e-01
  ........  ..............
      4096:   6.258278e-01
 
  The FFT coefficients:
 
         1:   4.968322e-01
         2:  -8.211929e-03
         3:  -1.519711e-04
         4:  -6.790636e-03
         5:   1.035867e-02
         6:  -1.457587e-02
         7:   1.041602e-03
         8:  -1.477348e-02
  ........  ..............
      4096:   2.255165e-03
 
  The retrieved data:
 
         1:   1.521368e-02
         2:   5.242244e-01
         3:   8.093299e-01
         4:   9.166969e-01
         5:   1.497710e-01
         6:   6.490900e-03
         7:   8.190183e-01
         8:   4.000844e-01
  ........  ..............
      4096:   6.260475e-01
 
TEST07
  For real fast cosine transforms, 
  1D, multiple
  COSTMI initializes the transform,
  COSTMF does a forward transform;
  COSTMB does a backward transform.
 
  The number of sequences is LOT =    6
  The length of each sequence is N =   32
  Workspace size LENSAV =       73
 
  Part of the original data:
 
  Col         1             2             3             4             5       
  Row
 
    1   1.544143e-02  8.197565e-01  6.448870e-01  3.536030e-02  9.076281e-01
    2   5.240560e-01  6.474856e-01  6.159995e-01  3.004916e-01  5.055056e-01
    3   8.093007e-01  2.895583e-01  1.031127e-01  3.629781e-01  3.257641e-02
    4   9.167103e-01  6.061282e-01  1.600160e-02  5.735765e-01  5.117874e-01
    5   1.497594e-01  1.958944e-01  9.388652e-01  1.007438e-01  6.110725e-01
 
  Part of the FFT coefficients:
 
  Col         1             2             3             4             5       
  Row
 
    1   4.335204e-01  4.763915e-01  4.605430e-01  4.467144e-01  4.587907e-01
    2   1.117409e-02 -4.038638e-02  1.273646e-01 -3.217935e-02 -3.669486e-02
    3   4.938783e-02  1.211189e-01  1.236721e-02 -4.771496e-02  6.454659e-02
    4   2.167185e-02 -4.442693e-02 -1.240381e-01 -3.456980e-02  4.767627e-02
    5  -2.023005e-02 -8.991857e-02 -7.754773e-02 -5.668926e-02 -7.682096e-02
 
  Part of the retrieved data:
 
  Col         1             2             3             4             5       
  Row
 
    1   1.544257e-02  8.197565e-01  6.448872e-01  3.535950e-02  9.076270e-01
    2   5.240556e-01  6.474858e-01  6.159999e-01  3.004923e-01  5.055057e-01
    3   8.093004e-01  2.895579e-01  1.031129e-01  3.629779e-01  3.257694e-02
    4   9.167090e-01  6.061280e-01  1.600235e-02  5.735762e-01  5.117870e-01
    5   1.497603e-01  1.958945e-01  9.388641e-01  1.007442e-01  6.110725e-01
 
TEST08
  For real fast Fourier transforms, 1D,
  RFFT1I initializes the transform,
  RFFT1F does a forward transform;
  RFFT1B does a backward transform.
 
  The number of data items is N = 4096
  Workspace size LENSAV =     4112
 
  The original data:
 
         1:   1.544143e-02
         2:   5.240560e-01
         3:   8.093007e-01
         4:   9.167103e-01
         5:   1.497594e-01
         6:   6.474625e-03
         7:   8.190278e-01
         8:   4.000864e-01
  ........  ..............
      4096:   6.258278e-01
 
  The FFT coefficients:
 
         1:   4.967891e-01
         2:  -2.365448e-04
         3:  -5.004897e-04
         4:   1.027492e-02
         5:   3.746790e-03
         6:   9.383352e-04
         7:  -3.061651e-03
         8:  -3.086756e-03
  ........  ..............
      4096:   2.180223e-03
 
  The retrieved data:
 
         1:   1.544143e-02
         2:   5.240560e-01
         3:   8.093007e-01
         4:   9.167103e-01
         5:   1.497594e-01
         6:   6.474623e-03
         7:   8.190278e-01
         8:   4.000864e-01
  ........  ..............
      4096:   6.258278e-01
 
TEST09
  For real fast Fourier transforms, 2D,
  RFFT2I initializes the transform,
  RFFT2F does a forward transform;
  RFFT2B does a backward transform.
 
  The L by M data is stored in an 
  LDIM by M array, with
  L =   32
  LDIM =   34
  M =   64
  Workspace size LENSAV =      253
 
  Part of the original data:
 
  Col         1             2             3             4             5       
  Row
 
    1   1.544143e-02  2.895583e-01  9.388652e-01  6.700090e-01  9.890571e-01
    2   5.240560e-01  6.061282e-01  5.069254e-01  8.405598e-01  8.261553e-02
    3   8.093007e-01  1.958944e-01  8.950980e-01  2.895148e-01  5.192075e-01
    4   9.167103e-01  3.978888e-01  9.124581e-01  8.749418e-01  3.207761e-01
    5   1.497594e-01  3.167617e-01  6.823919e-01  1.464994e-01  2.842876e-01
 
  Part of the FFT coefficients:
 
  Col         1             2             3             4             5       
  Row
 
    1   4.935200e-01  1.790724e-03 -9.245379e-04 -7.069174e-03  2.341063e-03
    2  -1.620305e-01 -9.741977e-02 -1.866084e-01  7.509927e-02  9.536813e-02
    3  -4.805362e-02 -2.273623e-02 -2.286220e-01 -2.121189e-01 -1.555431e-01
    4  -1.865061e-02 -4.647318e-02 -8.896423e-02 -7.769167e-04 -1.366722e-02
    5   2.850935e-02  4.841077e-02  1.716703e-02 -7.151920e-02  1.286686e-01
 
  Part of the retrieved data:
 
  Col         1             2             3             4             5       
  Row
 
    1   2.482579e+01 -2.677318e+01  4.896669e+00 -2.017467e+00  1.689149e+01
    2  -5.211763e+00 -2.272017e+01  2.296276e+01  1.689523e+00  1.033316e+01
    3   2.561965e+01 -2.670032e+01  4.663841e+00 -2.017113e+00  1.593252e+01
    4  -5.407808e+00 -2.325503e+01  2.542646e+01  1.601120e+00  1.109495e+01
    5   2.496011e+01 -2.643828e+01  4.290855e+00 -1.837258e+00  1.528294e+01
 
TEST10
  For real fast Fourier transforms, 
  1D, multiple
  RFFTMI initializes the transform,
  RFFTMF does a forward transform;
  RFFTMB does a backward transform.
 
  The number of sequences is LOT =    6
  The length of each sequence is N =   32
  Workspace size LENSAV =       41
 
  Part of the original data:
 
  Col         1             2             3             4             5       
  Row
 
    1   1.544143e-02  8.197565e-01  6.448870e-01  3.536030e-02  9.076281e-01
    2   5.240560e-01  6.474856e-01  6.159995e-01  3.004916e-01  5.055056e-01
    3   8.093007e-01  2.895583e-01  1.031127e-01  3.629781e-01  3.257641e-02
    4   9.167103e-01  6.061282e-01  1.600160e-02  5.735765e-01  5.117874e-01
    5   1.497594e-01  1.958944e-01  9.388652e-01  1.007438e-01  6.110725e-01
 
  Part of the FFT coefficients:
 
  Col         1             2             3             4             5       
  Row
 
    1   4.329756e-01  4.813754e-01  4.581277e-01  4.386824e-01  4.658699e-01
    2   4.496567e-02  1.210363e-01  2.134641e-02 -6.390878e-02  6.988679e-02
    3  -7.051200e-03 -3.860676e-02  1.626172e-01 -6.370456e-03 -5.371577e-02
    4  -2.275003e-02 -9.756715e-02 -8.987674e-02 -7.511895e-02 -4.663404e-02
    5   1.020670e-02 -7.367038e-02 -3.790945e-02 -2.663925e-02  7.467188e-02
 
  Part of the retrieved data:
 
  Col         1             2             3             4             5       
  Row
 
    1   1.544143e-02  8.197565e-01  6.448870e-01  3.536030e-02  9.076281e-01
    2   5.240560e-01  6.474856e-01  6.159995e-01  3.004916e-01  5.055056e-01
    3   8.093007e-01  2.895583e-01  1.031128e-01  3.629781e-01  3.257641e-02
    4   9.167103e-01  6.061282e-01  1.600159e-02  5.735765e-01  5.117874e-01
    5   1.497594e-01  1.958944e-01  9.388652e-01  1.007438e-01  6.110725e-01
 
TEST11
  For real fast sine transforms, 1D,
  SINQ1I initializes the transform,
  SINQ1F does a forward transform;
  SINQ1B does a backward transform.
 
  The number of data items is N = 4096
  Workspace size LENSAV =     8208
 
  The original data:
 
         1:   1.544143e-02
         2:   5.240560e-01
         3:   8.093007e-01
         4:   9.167103e-01
         5:   1.497594e-01
         6:   6.474625e-03
         7:   8.190278e-01
         8:   4.000864e-01
  ........  ..............
      4096:   6.258278e-01
 
  The FFT coefficients:
 
         1:  2.058680e+138
         2:  3.564015e+146
         3: -8.091036e+152
         4: -6.784052e+143
         5:  -2.255603e+03
         6:  -8.040325e-11
         7: -2.475737e+157
         8: -1.476604e-162
  ........  ..............
      4096:  -3.769880e-06
 
  The retrieved data:
 
         1:   3.769880e-06
         2:   1.279434e-04
         3:   1.975832e-04
         4:   2.238062e-04
         5:   3.656236e-05
         6:   1.580719e-06
         7:   1.999580e-04
         8:   9.767734e-05
  ........  ..............
      4096:  1.797693e+308
 
TEST12
  For real fast sine transforms, 1D, multiple
  SINQMI initializes the transform,
  SINQMF does a forward transform;
  SINQMB does a backward transform.
 
  The number of sequences is LOT =    6
  The length of each sequence is N =   32
  Workspace size LENSAV =       73
 
  Part of the original data:
 
  Col         1             2             3             4             5       
  Row
 
    1   1.544143e-02  8.197565e-01  6.448870e-01  3.536030e-02  9.076281e-01
    2   5.240560e-01  6.474856e-01  6.159995e-01  3.004916e-01  5.055056e-01
    3   8.093007e-01  2.895583e-01  1.031127e-01  3.629781e-01  3.257641e-02
    4   9.167103e-01  6.061282e-01  1.600160e-02  5.735765e-01  5.117874e-01
    5   1.497594e-01  1.958944e-01  9.388652e-01  1.007438e-01  6.110725e-01
 
  Part of the FFT coefficients:
 
  Col         1             2             3             4             5       
  Row
 
    1  1.013772e+157-7.855971e+146 5.876501e+143  1.075056e-02  1.446940e-02
    2  -1.758075e+00 -2.558595e+00 -4.903875e+00 -2.946073e-02 -3.024582e-02
    3   2.690015e-12-1.781325e-151 1.391958e+142 -2.962855e-02 -5.772700e-02
    4 -1.034740e+159-1.211577e+155-6.914336e+154 -1.682610e-03 -1.930878e-04
    5  2.700469e+140-4.486440e-150  1.917171e+03 -2.503803e-02 -3.425285e-02
 
  Part of the retrieved data:
 
  Col         1             2             3             4             5       
  Row
 
    1  1.404448e+306 1.404448e+306 1.404448e+306  1.105009e-03  2.836338e-02
    2   1.052271e+03  7.724445e+02  1.076508e+03  9.390363e-03  1.579705e-02
    3   0.000000e+00  0.000000e+00  0.000000e+00  1.134307e-02  1.018013e-03
    4 -2.247118e+307-2.247118e+307-2.247117e+307  1.792427e-02  1.599336e-02
    5  4.008806e-306 2.921295e-306  0.000000e+00  3.148244e-03  1.909602e-02
 
TEST13
  For real fast sine transforms, 1D,
  SINT1I initializes the transform,
  SINT1F does a forward transform;
  SINT1B does a backward transform.
 
  The number of data items is N = 4096
  Workspace size LENSAV =     6160
 
  The original data:
 
         1:   1.544143e-02
         2:   5.240560e-01
         3:   8.093007e-01
         4:   9.167103e-01
         5:   1.497594e-01
         6:   6.474625e-03
         7:   8.190278e-01
         8:   4.000864e-01
  ........  ..............
      4096:   6.258278e-01
 
  The FFT coefficients:
 
         1:   6.317403e-01
         2:  -5.066211e-04
         3:   2.049937e-01
         4:   3.745686e-03
         5:   1.333628e-01
         6:  -3.089169e-03
         7:   9.499257e-02
         8:  -8.871841e-03
  ........  ..............
      4096:   8.372152e-05
 
  The retrieved data:
 
         1:   1.793136e-02
         2:   5.241199e-01
         3:   8.103243e-01
         4:   9.166806e-01
         5:   1.503697e-01
         6:   6.458239e-03
         7:   8.194695e-01
         8:   4.000370e-01
  ........  ..............
      4096:   6.281352e-01
 
TEST14
  For real fast sine transforms, 1D, multiple
  SINTMI initializes the transform,
  SINTMF does a forward transform;
  SINTMB does a backward transform.
 
  The number of sequences is LOT =    6
  The length of each sequence is N =   32
  Workspace size LENSAV =       57
 
  Part of the original data:
 
  Col         1             2             3             4             5       
  Row
 
    1   1.544143e-02  8.197565e-01  6.448870e-01  3.536030e-02  9.076281e-01
    2   5.240560e-01  6.474856e-01  6.159995e-01  3.004916e-01  5.055056e-01
    3   8.093007e-01  2.895583e-01  1.031127e-01  3.629781e-01  3.257641e-02
    4   9.167103e-01  6.061282e-01  1.600160e-02  5.735765e-01  5.117874e-01
    5   1.497594e-01  1.958944e-01  9.388652e-01  1.007438e-01  6.110725e-01
 
  Part of the FFT coefficients:
 
  Col         1             2             3             4             5       
  Row
 
    1   5.357711e-01  5.668813e-01  5.875102e-01  5.903182e-01  5.641288e-01
    2  -3.529250e-03 -2.711475e-02  1.604908e-01 -1.545561e-02 -4.384141e-02
    3   2.320186e-01  3.273027e-01  2.372392e-01  1.753053e-01  2.695781e-01
    4   4.551533e-03 -8.266398e-02 -5.869332e-02 -4.268725e-02  6.095848e-02
    5   9.918996e-02  4.960547e-02  6.792102e-02  7.029730e-02  4.640442e-02
 
  Part of the retrieved data:
 
  Col         1             2             3             4             5       
  Row
 
    1   1.544159e-02  8.197559e-01  6.448855e-01  3.535891e-02  9.076275e-01
    2   5.240559e-01  6.474858e-01  6.160001e-01  3.004923e-01  5.055059e-01
    3   8.093007e-01  2.895582e-01  1.031127e-01  3.629781e-01  3.257628e-02
    4   9.167101e-01  6.061284e-01  1.600206e-02  5.735768e-01  5.117877e-01
    5   1.497596e-01  1.958945e-01  9.388651e-01  1.007436e-01  6.110725e-01
 
fftpack5.1_test():
  Normal end of execution.
 
rc= 0
** dist/fftpack51s-test.f
 
fftpack5.1_test():
  FORTRAN77 version
  Test fftpack5.1().
 
TEST01
  For complex fast Fourier transforms, 1D,
  CFFT1I initializes the transform,
  CFFT1F does a forward transform;
  CFFT1B does a backward transform.
 
  The number of data items is N = 4096
  Workspace size LENSAV =     8208
 
  The original data:
 
         1:  -1.228468e-01   -1.871080e-02
         2:   7.792096e-01   -4.495922e-01
         3:   3.866674e-01    1.573881e-02
         4:  -7.324502e-01    5.315491e-01
         5:   2.972862e-01    4.042642e-01
         6:   2.896340e-01   -7.521377e-01
         7:   1.715879e-01    6.820450e-01
         8:   5.642492e-01    4.017819e-01
  ........  ..............  ..............
      4096:   2.785089e-02    3.264577e-01
 
  The FFT coefficients:
 
         1:  -7.791712e-04   -1.697664e-03
         2:   2.691709e-03    1.711167e-02
         3:  -9.850166e-04   -5.571892e-03
         4:   7.834265e-03    4.724660e-03
         5:  -1.286497e-02    1.580526e-03
         6:   1.313720e-03    2.002341e-02
         7:   1.241405e-02    1.976440e-03
         8:   1.075365e-03   -1.011860e-03
  ........  ..............  ..............
      4096:  -6.116061e-03    5.464671e-03
 
  The retrieved data:
 
         1:  -1.228467e-01   -1.871076e-02
         2:   7.792096e-01   -4.495921e-01
         3:   3.866673e-01    1.573879e-02
         4:  -7.324501e-01    5.315492e-01
         5:   2.972864e-01    4.042642e-01
         6:   2.896340e-01   -7.521375e-01
         7:   1.715879e-01    6.820452e-01
         8:   5.642493e-01    4.017818e-01
  ........  ..............  ..............
      4096:   2.785084e-02    3.264576e-01
 
TEST02
  For complex fast Fourier transforms, 2D,
  CFFT2I initializes the transform,
  CFFT2F does a forward transform;
  CFFT2B does a backward transform.
 
  The data is stored in an L by M array, with
  L =   32
  M =   64
  Workspace size LENSAV =      211
 
  Part of the original data:
 
  Col:          1                   2                   3                   4          
  Row
  ---
    1 -1.228e-01-1.871e-02-5.990e-01-5.348e-01-9.521e-01-3.295e-02 7.241e-01 2.293e-01
    2  7.792e-01-4.496e-01 3.195e-01 3.223e-02-1.800e-01-1.336e-02 5.276e-01 3.101e-02
    3  3.867e-01 1.574e-02-9.680e-01-4.215e-02-2.232e-01 7.492e-01-1.718e-01 1.359e-01
    4 -7.325e-01 5.315e-01 8.065e-01-4.945e-01 4.580e-01-5.175e-02 6.202e-01 6.435e-01
    5  2.973e-01 4.043e-01 8.024e-01-1.963e-01 8.635e-01 4.934e-01-5.743e-01 1.719e-01
 
  Col:          5          
  Row
  ---
    1 -5.676e-03-7.491e-01
    2 -3.997e-02 9.900e-01
    3  8.095e-01 2.121e-01
    4 -8.470e-02 7.332e-01
    5  3.779e-01 4.886e-01
 
  Part of the FFT coefficients:
 
  Col:          1                   2                   3                   4          
  Row
  ---
    1 -1.169e-02 7.040e-03 3.606e-03 9.515e-05-1.935e-02-4.414e-03 2.804e-02 5.250e-03
    2  1.547e-02 1.397e-03-5.956e-03 6.147e-03 3.199e-03-1.329e-03 9.904e-03 1.175e-02
    3  9.261e-03 6.592e-03 1.391e-02 5.865e-03 1.205e-03-1.423e-03-8.495e-03-1.036e-03
    4  9.780e-03 5.867e-03-2.201e-03 1.145e-04-3.989e-04 9.938e-03-2.876e-03 7.857e-03
    5 -1.161e-02 8.162e-03-6.042e-03-2.095e-02-2.438e-02 4.868e-03 9.960e-03-5.321e-03
 
  Col:          5          
  Row
  ---
    1 -5.810e-03-4.373e-03
    2 -3.787e-03-2.489e-02
    3  3.537e-03-9.193e-03
    4 -2.679e-02 9.208e-03
    5 -1.427e-03 8.370e-03
 
  Part of the retrieved data:
 
  Col:          1                   2                   3                   4          
  Row
  ---
    1 -1.228e-01-1.871e-02-5.990e-01-5.348e-01-9.521e-01-3.295e-02 7.241e-01 2.293e-01
    2  7.792e-01-4.496e-01 3.195e-01 3.223e-02-1.800e-01-1.336e-02 5.276e-01 3.101e-02
    3  3.867e-01 1.574e-02-9.680e-01-4.215e-02-2.232e-01 7.492e-01-1.718e-01 1.359e-01
    4 -7.325e-01 5.315e-01 8.065e-01-4.945e-01 4.580e-01-5.175e-02 6.202e-01 6.435e-01
    5  2.973e-01 4.043e-01 8.024e-01-1.963e-01 8.635e-01 4.934e-01-5.743e-01 1.719e-01
 
  Col:          5          
  Row
  ---
    1 -5.676e-03-7.491e-01
    2 -3.997e-02 9.900e-01
    3  8.095e-01 2.121e-01
    4 -8.470e-02 7.332e-01
    5  3.779e-01 4.886e-01
 
TEST03
  For complex fast Fourier transforms,
  1D, multiple
  CFFTMI initializes the transform,
  CFFTMF does a forward transform;
  CFFTMB does a backward transform.
 
  The number of sequences is LOT =    6
  The length of each sequence is N =   32
  Workspace size LENSAV =       73
 
  Part of the original data:
 
  Col:          1                   2                   3                   4          
  Row
  ---
    1 -1.228e-01-1.871e-02-5.990e-01-5.348e-01-9.521e-01-3.295e-02 7.241e-01 2.293e-01
    2  7.792e-01-4.496e-01 3.195e-01 3.223e-02-1.800e-01-1.336e-02 5.276e-01 3.101e-02
    3  3.867e-01 1.574e-02-9.680e-01-4.215e-02-2.232e-01 7.492e-01-1.718e-01 1.359e-01
    4 -7.325e-01 5.315e-01 8.065e-01-4.945e-01 4.580e-01-5.175e-02 6.202e-01 6.435e-01
    5  2.973e-01 4.043e-01 8.024e-01-1.963e-01 8.635e-01 4.934e-01-5.743e-01 1.719e-01
 
  Col:          5          
  Row
  ---
    1 -5.676e-03-7.491e-01
    2 -3.997e-02 9.900e-01
    3  8.095e-01 2.121e-01
    4 -8.470e-02 7.332e-01
    5  3.779e-01 4.886e-01
 
  Part of the FFT coefficients:
 
  Col:          1                   2                   3                   4          
  Row
  ---
    1 -1.328e-01 3.489e-02-1.026e-01 5.821e-02-5.666e-02 1.702e-01 1.072e-01-2.085e-02
    2  2.731e-02-1.092e-01-5.127e-02-1.189e-01-7.121e-02 2.090e-02 7.512e-02 1.010e-01
    3 -7.854e-02-7.278e-02-6.710e-02-1.151e-01 5.246e-02-7.685e-02 7.264e-02 3.180e-03
    4  1.268e-03 8.209e-03 8.000e-03 7.360e-02-8.453e-02-2.642e-02 9.778e-02 1.137e-01
    5 -6.010e-02-1.343e-01-1.453e-01-2.028e-02-5.524e-02-1.105e-01-8.391e-02 7.648e-02
 
  Col:          5          
  Row
  ---
    1  2.441e-02 1.705e-01
    2  2.241e-01 1.331e-01
    3  1.757e-01 1.374e-01
    4 -1.456e-01-9.568e-02
    5 -4.203e-02-4.520e-02
 
  Part of the retrieved data:
 
  Col:          1                   2                   3                   4          
  Row
  ---
    1 -1.228e-01-1.871e-02-5.990e-01-5.348e-01-9.521e-01-3.295e-02 7.241e-01 2.293e-01
    2  7.792e-01-4.496e-01 3.195e-01 3.223e-02-1.800e-01-1.336e-02 5.276e-01 3.101e-02
    3  3.867e-01 1.574e-02-9.680e-01-4.215e-02-2.232e-01 7.492e-01-1.718e-01 1.359e-01
    4 -7.325e-01 5.315e-01 8.065e-01-4.945e-01 4.580e-01-5.175e-02 6.202e-01 6.435e-01
    5  2.973e-01 4.043e-01 8.024e-01-1.963e-01 8.635e-01 4.934e-01-5.743e-01 1.719e-01
 
  Col:          5          
  Row
  ---
    1 -5.676e-03-7.491e-01
    2 -3.997e-02 9.900e-01
    3  8.095e-01 2.121e-01
    4 -8.470e-02 7.332e-01
    5  3.779e-01 4.886e-01
 
TEST04
  For real fast cosine transforms, 1D,
  COSQ1I initializes the transform,
  COSQ1F does a forward transform;
  COSQ1B does a backward transform.
 
  The number of data items is N = 4096
  Workspace size LENSAV =     8208
 
  The original data:
 
         1:   1.544143e-02
         2:   5.240560e-01
         3:   8.093007e-01
         4:   9.167103e-01
         5:   1.497594e-01
         6:   6.474625e-03
         7:   8.190278e-01
         8:   4.000864e-01
  ........  ..............
      4096:   6.258278e-01
 
  The FFT coefficients:
 
         1:   6.283191e-01
         2:  -2.144524e-01
         3:   1.211894e-01
         4:  -8.655626e-02
         5:   6.924143e-02
         6:  -6.774490e-02
         7:   4.607677e-02
         8:  -5.603608e-02
  ........  ..............
      4096:   2.900243e-03
 
  The retrieved data:
 
         1:   1.544136e-02
         2:   5.240560e-01
         3:   8.093008e-01
         4:   9.167103e-01
         5:   1.497593e-01
         6:   6.474644e-03
         7:   8.190278e-01
         8:   4.000865e-01
  ........  ..............
      4096:   6.258276e-01
 
TEST05
  For real fast cosine transforms, 
  1D, multiple
  COSQMI initializes the transform,
  COSQMF does a forward transform;
  COSQMB does a backward transform.
 
  The number of sequences is LOT =    6
  The length of each sequence is N =   32
  Workspace size LENSAV =       73
 
  Part of the original data:
 
  Col         1             2             3             4             5       
  Row
 
    1   1.544143e-02  8.197565e-01  6.448870e-01  3.536030e-02  9.076281e-01
    2   5.240560e-01  6.474856e-01  6.159995e-01  3.004916e-01  5.055056e-01
    3   8.093007e-01  2.895583e-01  1.031127e-01  3.629781e-01  3.257641e-02
    4   9.167103e-01  6.061282e-01  1.600160e-02  5.735765e-01  5.117874e-01
    5   1.497594e-01  1.958944e-01  9.388652e-01  1.007438e-01  6.110725e-01
 
  Part of the FFT coefficients:
 
  Col         1             2             3             4             5       
  Row
 
    1   5.540786e-01  5.818251e-01  6.323565e-01  5.601194e-01  5.663158e-01
    2  -1.576761e-01 -1.789256e-01 -7.725947e-02 -2.375673e-01 -1.999137e-01
    3   1.615073e-01  2.225275e-01  4.306407e-02  8.008134e-02  2.014770e-01
    4  -8.714887e-02 -2.063382e-01 -1.953692e-01 -1.304874e-01 -8.502726e-02
    5   6.079677e-02  5.127163e-02  1.652646e-02  3.175736e-02 -4.386165e-02
 
  Part of the retrieved data:
 
  Col         1             2             3             4             5       
  Row
 
    1   1.544142e-02  8.197564e-01  6.448871e-01  3.536025e-02  9.076282e-01
    2   5.240560e-01  6.474856e-01  6.159995e-01  3.004916e-01  5.055056e-01
    3   8.093007e-01  2.895583e-01  1.031128e-01  3.629782e-01  3.257643e-02
    4   9.167103e-01  6.061281e-01  1.600161e-02  5.735765e-01  5.117874e-01
    5   1.497594e-01  1.958944e-01  9.388653e-01  1.007438e-01  6.110725e-01
 
TEST06
  For real fast cosine transforms, 1D,
  COST1I initializes the transform,
  COST1F does a forward transform;
  COST1B does a backward transform.
 
  The number of data items is N = 4096
  Workspace size LENSAV =     8208
 
  The original data:
 
         1:   1.544143e-02
         2:   5.240560e-01
         3:   8.093007e-01
         4:   9.167103e-01
         5:   1.497594e-01
         6:   6.474625e-03
         7:   8.190278e-01
         8:   4.000864e-01
  ........  ..............
      4096:   6.258278e-01
 
  The FFT coefficients:
 
         1:   4.968322e-01
         2:  -8.211929e-03
         3:  -1.519712e-04
         4:  -6.790634e-03
         5:   1.035867e-02
         6:  -1.457587e-02
         7:   1.041600e-03
         8:  -1.477348e-02
  ........  ..............
      4096:   2.255148e-03
 
  The retrieved data:
 
         1:   1.520580e-02
         2:   5.242286e-01
         3:   8.093255e-01
         4:   9.167063e-01
         5:   1.497719e-01
         6:   6.497049e-03
         7:   8.190184e-01
         8:   4.000898e-01
  ........  ..............
      4096:   6.260560e-01
 
TEST07
  For real fast cosine transforms, 
  1D, multiple
  COSTMI initializes the transform,
  COSTMF does a forward transform;
  COSTMB does a backward transform.
 
  The number of sequences is LOT =    6
  The length of each sequence is N =   32
  Workspace size LENSAV =       73
 
  Part of the original data:
 
  Col         1             2             3             4             5       
  Row
 
    1   1.544143e-02  8.197565e-01  6.448870e-01  3.536030e-02  9.076281e-01
    2   5.240560e-01  6.474856e-01  6.159995e-01  3.004916e-01  5.055056e-01
    3   8.093007e-01  2.895583e-01  1.031127e-01  3.629781e-01  3.257641e-02
    4   9.167103e-01  6.061282e-01  1.600160e-02  5.735765e-01  5.117874e-01
    5   1.497594e-01  1.958944e-01  9.388652e-01  1.007438e-01  6.110725e-01
 
  Part of the FFT coefficients:
 
  Col         1             2             3             4             5       
  Row
 
    1   4.335204e-01  4.763915e-01  4.605430e-01  4.467144e-01  4.587907e-01
    2   1.117409e-02 -4.038638e-02  1.273646e-01 -3.217935e-02 -3.669485e-02
    3   4.938782e-02  1.211188e-01  1.236724e-02 -4.771493e-02  6.454661e-02
    4   2.167184e-02 -4.442693e-02 -1.240381e-01 -3.456980e-02  4.767627e-02
    5  -2.023006e-02 -8.991856e-02 -7.754772e-02 -5.668927e-02 -7.682097e-02
 
  Part of the retrieved data:
 
  Col         1             2             3             4             5       
  Row
 
    1   1.544271e-02  8.197564e-01  6.448873e-01  3.535907e-02  9.076269e-01
    2   5.240555e-01  6.474857e-01  6.159998e-01  3.004925e-01  5.055057e-01
    3   8.093002e-01  2.895578e-01  1.031129e-01  3.629780e-01  3.257702e-02
    4   9.167089e-01  6.061280e-01  1.600244e-02  5.735763e-01  5.117871e-01
    5   1.497603e-01  1.958944e-01  9.388641e-01  1.007443e-01  6.110725e-01
 
TEST08
  For real fast Fourier transforms, 1D,
  RFFT1I initializes the transform,
  RFFT1F does a forward transform;
  RFFT1B does a backward transform.
 
  The number of data items is N = 4096
  Workspace size LENSAV =     4112
 
  The original data:
 
         1:   1.544143e-02
         2:   5.240560e-01
         3:   8.093007e-01
         4:   9.167103e-01
         5:   1.497594e-01
         6:   6.474625e-03
         7:   8.190278e-01
         8:   4.000864e-01
  ........  ..............
      4096:   6.258278e-01
 
  The FFT coefficients:
 
         1:   4.967891e-01
         2:  -2.365452e-04
         3:  -5.004896e-04
         4:   1.027492e-02
         5:   3.746789e-03
         6:   9.383352e-04
         7:  -3.061651e-03
         8:  -3.086757e-03
  ........  ..............
      4096:   2.180234e-03
 
  The retrieved data:
 
         1:   1.544139e-02
         2:   5.240561e-01
         3:   8.093007e-01
         4:   9.167103e-01
         5:   1.497594e-01
         6:   6.474763e-03
         7:   8.190277e-01
         8:   4.000863e-01
  ........  ..............
      4096:   6.258278e-01
 
TEST09
  For real fast Fourier transforms, 2D,
  RFFT2I initializes the transform,
  RFFT2F does a forward transform;
  RFFT2B does a backward transform.
 
  The L by M data is stored in an 
  LDIM by M array, with
  L =   32
  LDIM =   34
  M =   64
  Workspace size LENSAV =      253
 
  Part of the original data:
 
  Col         1             2             3             4             5       
  Row
 
    1   1.544143e-02  2.895583e-01  9.388652e-01  6.700090e-01  9.890571e-01
    2   5.240560e-01  6.061282e-01  5.069254e-01  8.405598e-01  8.261553e-02
    3   8.093007e-01  1.958944e-01  8.950980e-01  2.895148e-01  5.192075e-01
    4   9.167103e-01  3.978888e-01  9.124581e-01  8.749418e-01  3.207761e-01
    5   1.497594e-01  3.167617e-01  6.823919e-01  1.464994e-01  2.842876e-01
 
  Part of the FFT coefficients:
 
  Col         1             2             3             4             5       
  Row
 
    1   4.935200e-01  1.790725e-03 -9.245388e-04 -7.069176e-03  2.341063e-03
    2   6.959524e-04  8.439255e-03  9.581808e-04 -4.028394e-03  3.711266e-03
    3   2.152503e-03 -1.197615e-03 -3.712994e-03  9.641644e-03 -1.458950e-03
    4  -4.563855e-03 -4.213371e-03 -5.222340e-04 -3.661542e-03 -3.340445e-04
    5  -6.058487e-03  1.520342e-03 -6.975897e-03 -4.932304e-03 -2.691143e-03
 
  Part of the retrieved data:
 
  Col         1             2             3             4             5       
  Row
 
    1   1.544143e-02  2.895582e-01  9.388652e-01  6.700090e-01  9.890569e-01
    2   5.240560e-01  6.061282e-01  5.069255e-01  8.405598e-01  8.261558e-02
    3   8.093007e-01  1.958945e-01  8.950980e-01  2.895148e-01  5.192077e-01
    4   9.167102e-01  3.978887e-01  9.124581e-01  8.749417e-01  3.207762e-01
    5   1.497594e-01  3.167617e-01  6.823920e-01  1.464994e-01  2.842877e-01
 
TEST10
  For real fast Fourier transforms, 
  1D, multiple
  RFFTMI initializes the transform,
  RFFTMF does a forward transform;
  RFFTMB does a backward transform.
 
  The number of sequences is LOT =    6
  The length of each sequence is N =   32
  Workspace size LENSAV =       41
 
  Part of the original data:
 
  Col         1             2             3             4             5       
  Row
 
    1   1.544143e-02  8.197565e-01  6.448870e-01  3.536030e-02  9.076281e-01
    2   5.240560e-01  6.474856e-01  6.159995e-01  3.004916e-01  5.055056e-01
    3   8.093007e-01  2.895583e-01  1.031127e-01  3.629781e-01  3.257641e-02
    4   9.167103e-01  6.061282e-01  1.600160e-02  5.735765e-01  5.117874e-01
    5   1.497594e-01  1.958944e-01  9.388652e-01  1.007438e-01  6.110725e-01
 
  Part of the FFT coefficients:
 
  Col         1             2             3             4             5       
  Row
 
    1   4.329756e-01  4.813754e-01  4.581277e-01  4.386824e-01  4.658699e-01
    2   4.496567e-02  1.210363e-01  2.134641e-02 -6.390879e-02  6.988679e-02
    3  -7.051200e-03 -3.860677e-02  1.626172e-01 -6.370464e-03 -5.371577e-02
    4  -2.275003e-02 -9.756715e-02 -8.987675e-02 -7.511894e-02 -4.663404e-02
    5   1.020670e-02 -7.367036e-02 -3.790945e-02 -2.663924e-02  7.467189e-02
 
  Part of the retrieved data:
 
  Col         1             2             3             4             5       
  Row
 
    1   1.544143e-02  8.197564e-01  6.448870e-01  3.536031e-02  9.076282e-01
    2   5.240561e-01  6.474855e-01  6.159995e-01  3.004917e-01  5.055056e-01
    3   8.093007e-01  2.895582e-01  1.031128e-01  3.629782e-01  3.257647e-02
    4   9.167101e-01  6.061282e-01  1.600161e-02  5.735765e-01  5.117874e-01
    5   1.497594e-01  1.958944e-01  9.388652e-01  1.007438e-01  6.110726e-01
 
TEST11
  For real fast sine transforms, 1D,
  SINQ1I initializes the transform,
  SINQ1F does a forward transform;
  SINQ1B does a backward transform.
 
  The number of data items is N = 4096
  Workspace size LENSAV =     8208
 
  The original data:
 
         1:   1.544143e-02
         2:   5.240560e-01
         3:   8.093007e-01
         4:   9.167103e-01
         5:   1.497594e-01
         6:   6.474625e-03
         7:   8.190278e-01
         8:   4.000864e-01
  ........  ..............
      4096:   6.258278e-01
 
  The FFT coefficients:
 
         1:   6.364450e-01
         2:   2.059502e-01
         3:   1.281620e-01
         4:   8.166932e-02
         5:   8.499397e-02
         6:   5.128791e-02
         7:   5.646404e-02
         8:   3.412773e-02
  ........  ..............
      4096:   1.702070e-03
 
  The retrieved data:
 
         1:   1.544140e-02
         2:   5.240561e-01
         3:   8.093007e-01
         4:   9.167102e-01
         5:   1.497593e-01
         6:   6.474555e-03
         7:   8.190278e-01
         8:   4.000864e-01
  ........  ..............
      4096:   6.258277e-01
 
TEST12
  For real fast sine transforms, 1D, multiple
  SINQMI initializes the transform,
  SINQMF does a forward transform;
  SINQMB does a backward transform.
 
  The number of sequences is LOT =    6
  The length of each sequence is N =   32
  Workspace size LENSAV =       73
 
  Part of the original data:
 
  Col         1             2             3             4             5       
  Row
 
    1   1.544143e-02  8.197565e-01  6.448870e-01  3.536030e-02  9.076281e-01
    2   5.240560e-01  6.474856e-01  6.159995e-01  3.004916e-01  5.055056e-01
    3   8.093007e-01  2.895583e-01  1.031127e-01  3.629781e-01  3.257641e-02
    4   9.167103e-01  6.061282e-01  1.600160e-02  5.735765e-01  5.117874e-01
    5   1.497594e-01  1.958944e-01  9.388652e-01  1.007438e-01  6.110725e-01
 
  Part of the FFT coefficients:
 
  Col         1             2             3             4             5       
  Row
 
    1   5.428283e-01  6.139966e-01  5.412783e-01  5.872421e-01  5.933256e-01
    2   1.665033e-01  1.184914e-01  3.117507e-01  1.941236e-01  1.345627e-01
    3   1.414538e-01  2.252971e-01  2.330005e-01  9.094972e-02  1.468857e-01
    4   1.127655e-01  9.486061e-02  4.808269e-02  6.044733e-02  1.707481e-01
    5   3.993892e-02 -4.783202e-02 -7.765722e-04 -1.361493e-03  4.974616e-02
 
  Part of the retrieved data:
 
  Col         1             2             3             4             5       
  Row
 
    1   1.544145e-02  8.197564e-01  6.448870e-01  3.536028e-02  9.076280e-01
    2   5.240560e-01  6.474854e-01  6.159993e-01  3.004916e-01  5.055057e-01
    3   8.093005e-01  2.895584e-01  1.031128e-01  3.629781e-01  3.257650e-02
    4   9.167103e-01  6.061282e-01  1.600167e-02  5.735766e-01  5.117874e-01
    5   1.497594e-01  1.958944e-01  9.388652e-01  1.007438e-01  6.110725e-01
 
TEST13
  For real fast sine transforms, 1D,
  SINT1I initializes the transform,
  SINT1F does a forward transform;
  SINT1B does a backward transform.
 
  The number of data items is N = 4096
  Workspace size LENSAV =     6160
 
  The original data:
 
         1:   1.544143e-02
         2:   5.240560e-01
         3:   8.093007e-01
         4:   9.167103e-01
         5:   1.497594e-01
         6:   6.474625e-03
         7:   8.190278e-01
         8:   4.000864e-01
  ........  ..............
      4096:   6.258278e-01
 
  The FFT coefficients:
 
         1:   6.317403e-01
         2:  -5.066197e-04
         3:   2.049938e-01
         4:   3.745687e-03
         5:   1.333629e-01
         6:  -3.089169e-03
         7:   9.499264e-02
         8:  -8.871840e-03
  ........  ..............
      4096:   8.371943e-05
 
  The retrieved data:
 
         1:   1.809035e-02
         2:   5.240801e-01
         3:   8.103785e-01
         4:   9.166436e-01
         5:   1.504108e-01
         6:   6.444123e-03
         7:   8.194957e-01
         8:   4.000176e-01
  ........  ..............
      4096:   6.282941e-01
 
TEST14
  For real fast sine transforms, 1D, multiple
  SINTMI initializes the transform,
  SINTMF does a forward transform;
  SINTMB does a backward transform.
 
  The number of sequences is LOT =    6
  The length of each sequence is N =   32
  Workspace size LENSAV =       57
 
  Part of the original data:
 
  Col         1             2             3             4             5       
  Row
 
    1   1.544143e-02  8.197565e-01  6.448870e-01  3.536030e-02  9.076281e-01
    2   5.240560e-01  6.474856e-01  6.159995e-01  3.004916e-01  5.055056e-01
    3   8.093007e-01  2.895583e-01  1.031127e-01  3.629781e-01  3.257641e-02
    4   9.167103e-01  6.061282e-01  1.600160e-02  5.735765e-01  5.117874e-01
    5   1.497594e-01  1.958944e-01  9.388652e-01  1.007438e-01  6.110725e-01
 
  Part of the FFT coefficients:
 
  Col         1             2             3             4             5       
  Row
 
    1   5.357711e-01  5.668813e-01  5.875101e-01  5.903182e-01  5.641288e-01
    2  -3.529247e-03 -2.711476e-02  1.604908e-01 -1.545561e-02 -4.384141e-02
    3   2.320186e-01  3.273026e-01  2.372392e-01  1.753052e-01  2.695781e-01
    4   4.551541e-03 -8.266398e-02 -5.869333e-02 -4.268726e-02  6.095848e-02
    5   9.918995e-02  4.960541e-02  6.792098e-02  7.029728e-02  4.640442e-02
 
  Part of the retrieved data:
 
  Col         1             2             3             4             5       
  Row
 
    1   1.544097e-02  8.197551e-01  6.448851e-01  3.535859e-02  9.076275e-01
    2   5.240562e-01  6.474859e-01  6.160002e-01  3.004925e-01  5.055059e-01
    3   8.093007e-01  2.895580e-01  1.031125e-01  3.629779e-01  3.257638e-02
    4   9.167102e-01  6.061284e-01  1.600214e-02  5.735769e-01  5.117876e-01
    5   1.497595e-01  1.958944e-01  9.388649e-01  1.007436e-01  6.110725e-01
 
fftpack5.1_test():
  Normal end of execution.
 
rc= 0
** dist/hanoi.f
2 disks require 3 moves
3 disks require 7 moves
4 disks require 15 moves
5 disks require 31 moves
6 disks require 63 moves
7 disks require 127 moves
8 disks require 255 moves
9 disks require 511 moves
10 disks require 1023 moves
11 disks require 2047 moves
12 disks require 4095 moves
13 disks require 8191 moves
14 disks require 16383 moves
15 disks require 32767 moves
16 disks require 65535 moves
17 disks require 131071 moves
18 disks require 262143 moves
19 disks require 524287 moves
20 disks require 1048575 moves
21 disks require 2097151 moves
22 disks require 4194303 moves
23 disks require 8388607 moves
24 disks require 16777215 moves
rc= 0
** dist/hello.f
Hello world!
rc= 0
** dist/inquire.f
f f    
f f    
f f    
rc= 0
** dist/linpack-benchmark.f
linpack_bench_d
  the linpack benchmark.
  language: fortran77
  datatype: real real*8
  matrix order n =                   1000
  leading matrix dimension lda =     1001
     norm. resid resid machep         x(1)          x(n)
  6.49150133e+00  7.20701276e-13  2.22044605e-16  1.00000000e+00  1.00000000e+00
      factor     solve      total     mflops       unit      ratio
  2.364e-01  1.040e-03  2.374e-01  2.816e+03  7.102e-04  4.240e+00
     norm. resid resid machep         x(1)          x(n)
  6.49150133e+00  7.20701276e-13  2.22044605e-16  1.00000000e+00  1.00000000e+00
      factor     solve      total     mflops       unit      ratio
  2.463e-01  9.380e-04  2.472e-01  2.704e+03  7.395e-04  4.415e+00
     norm. resid resid machep         x(1)          x(n)
  6.49150133e+00  7.20701276e-13  2.22044605e-16  1.00000000e+00  1.00000000e+00
      factor     solve      total     mflops       unit      ratio
  2.495e-01  1.039e-03  2.506e-01  2.669e+03  7.494e-04  4.474e+00
     norm. resid resid machep         x(1)          x(n)
  6.49150133e+00  7.20701276e-13  2.22044605e-16  1.00000000e+00  1.00000000e+00
      factor     solve      total     mflops       unit      ratio
  2.511e-01  1.075e-03  2.521e-01  2.652e+03  7.541e-04  4.502e+00
     norm. resid resid machep         x(1)          x(n)
  6.49150133e+00  7.20701276e-13  2.22044605e-16  1.00000000e+00  1.00000000e+00
      factor     solve      total     mflops       unit      ratio
  2.382e-01  1.122e-03  2.393e-01  2.794e+03  7.158e-04  4.274e+00
     norm. resid resid machep         x(1)          x(n)
  6.49150133e+00  7.20701276e-13  2.22044605e-16  1.00000000e+00  1.00000000e+00
      factor     solve      total     mflops       unit      ratio
  2.427e-01  1.034e-03  2.437e-01  2.744e+03  7.289e-04  4.352e+00
     norm. resid resid machep         x(1)          x(n)
  6.49150133e+00  7.20701276e-13  2.22044605e-16  1.00000000e+00  1.00000000e+00
      factor     solve      total     mflops       unit      ratio
  2.475e-01  9.740e-04  2.484e-01  2.691e+03  7.431e-04  4.437e+00
     norm. resid resid machep         x(1)          x(n)
  6.49150133e+00  7.20701276e-13  2.22044605e-16  1.00000000e+00  1.00000000e+00
      factor     solve      total     mflops       unit      ratio
  2.463e-01  1.196e-03  2.475e-01  2.701e+03  7.404e-04  4.420e+00
     norm. resid resid machep         x(1)          x(n)
  6.49150133e+00  7.20701276e-13  2.22044605e-16  1.00000000e+00  1.00000000e+00
      factor     solve      total     mflops       unit      ratio
  2.403e-01  9.780e-04  2.412e-01  2.772e+03  7.216e-04  4.308e+00
     norm. resid resid machep         x(1)          x(n)
  6.49150133e+00  7.20701276e-13  2.22044605e-16  1.00000000e+00  1.00000000e+00
      factor     solve      total     mflops       unit      ratio
  2.366e-01  1.015e-03  2.376e-01  2.814e+03  7.106e-04  4.243e+00
rc= 0
** dist/mltest.f
Training set: 20x40 matrix
-2.657458e-02 1.675178e-01 1.143647e-01 ...  1.259325e-01 9.397388e-02-2.979284e-02
 4.512650e-02 1.929071e-01 1.812126e-01 ...  2.253408e-01 3.030957e-02 1.302597e-01
 1.717722e-01 2.921835e-01 4.512136e-01 ...  2.904545e-01 2.523157e-01 7.400723e-02
 1.664912e-01 2.875065e-01 3.157274e-01 ...  3.220535e-01 3.077306e-01 9.907097e-02
 1.017712e-01 4.488836e-01 6.590503e-01 ...  5.638632e-01 2.921281e-01 7.939631e-02
 5.962945e-02 3.748305e-01 5.596589e-01 ...  5.734350e-01 3.939564e-01 6.100969e-02
 2.101751e-01 4.314270e-01 8.376102e-01 ...  8.178583e-01 4.137746e-01 1.099317e-01
 1.016593e-01 4.686808e-01 7.339247e-01 ...  7.281036e-01 5.026468e-01 2.365782e-01
 2.305891e-01 4.963233e-01 1.042974e+00 ...  9.005243e-01 5.020893e-01 2.728666e-01
 1.269543e-01 6.008424e-01 9.387760e-01 ...  8.984565e-01 5.168603e-01 2.361258e-01
 1.875974e-01 7.112658e-01 1.083802e+00 ...  1.224086e+00 8.018145e-01 2.282914e-01
 2.697278e-01 7.833906e-01 1.241274e+00 ...  1.157660e+00 6.054406e-01 2.392505e-01
 2.670638e-01 8.603644e-01 1.272128e+00 ...  1.440860e+00 7.751316e-01 2.000845e-01
 2.825573e-01 7.922018e-01 1.342713e+00 ...  1.270540e+00 8.031360e-01 2.148379e-01
 2.346372e-01 8.475356e-01 1.541975e+00 ...  1.511308e+00 8.670648e-01 3.388285e-01
 3.378798e-01 9.380741e-01 1.564264e+00 ...  1.487275e+00 1.005233e+00 3.168931e-01
 3.344951e-01 9.894558e-01 1.799101e+00 ...  1.718100e+00 1.154540e+00 3.968475e-01
 3.694904e-01 1.041864e+00 1.739128e+00 ...  1.778803e+00 1.077487e+00 4.413229e-01
 4.503542e-01 1.239483e+00 2.015135e+00 ...  2.030091e+00 1.104878e+00 3.255224e-01
 4.610733e-01 1.080046e+00 2.049480e+00 ...  1.942844e+00 1.232124e+00 3.788238e-01
Constituent values: 1x20 matrix
 1.000000e+00 1.000000e+00 2.000000e+00 ...  9.000000e+00 1.000000e+01 1.000000e+01
rc= 0
** dist/nas.f

                the nas kernel benchmark program


 program        error          fp ops       seconds      mflops

 mxm          8.3203e-01     4.1943e+08      0.8970      467.57
 cfft2d       2.4041e-01     4.9807e+08      1.1078      449.59
 cholsky      5.2460e+02     2.2103e+08      1.2041      183.56
 btrix        1.9245e+00     3.2197e+08      1.3160      244.66
 gmtry        5.1042e+38     2.2650e+08      1.5353      147.53
 emit         6.6864e-01     2.2604e+08      1.5989      141.37
 vpenta       2.5078e+00     2.5943e+08      1.8388      141.08

 total        5.1042e+38     2.1725e+09      9.4981      228.73


rc= 0
** dist/rand.f
 5.000106190840873e-01
rc= 0
** dist/read.f
22
11
11
rc= 0
** dist/real32.f
Test sin
Test asin
Test exp
rc= 0
** dist/roots.f
    1.0000 X*X +   -2.0000 X +   -1.0000
 X0 =   -0.4142 X1 =    2.4142
rc= 0
** dist/sblat1.f
 real blas test program results
 

 test of subprogram number  1             sdot 
                                    ----- pass -----

 test of subprogram number  2            saxpy 
                                    ----- pass -----

 test of subprogram number  3            srotg 
                                    ----- pass -----

 test of subprogram number  4             srot 
                                    ----- pass -----

 test of subprogram number  5            scopy 
                                    ----- pass -----

 test of subprogram number  6            sswap 
                                    ----- pass -----

 test of subprogram number  7            snrm2 
                                    ----- pass -----

 test of subprogram number  8            sasum 
                                    ----- pass -----

 test of subprogram number  9            sscal 
                                    ----- pass -----

 test of subprogram number 10            isamax
                                    ----- pass -----
rc= 0
** dist/sinus.f
                                           *                                    
                                                   *                            
                                                           *                    
                                                                 *              
                                                                       *        
                                                                           *    
                                                                             *  
                                                                              * 
                                                                             *  
                                                                           *    
                                                                       *        
                                                                 *              
                                                           *                    
                                                   *                            
                                           *                                    
                                   *                                            
                           *                                                    
                    *                                                           
             *                                                                  
       *                                                                        
   *                                                                            
 *                                                                              
*                                                                               
 *                                                                              
   *                                                                            
       *                                                                        
             *                                                                  
                   *                                                            
                           *                                                    
                                   *                                            
rc= 0
** dist/slatec.f
 4.1
rc= 0
** dist/snoopy.f
1                                                                                                                                    
1                                                   XXXXXXXXXX                                                                       
                                                   XXXXXXXXXXXXXX                                                                    
                                                 XXXX    XXX   XXX                                                                   
                                                XXXX    X  XX   XXX                                                                  
                                               XXX               XXX                                                                 
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                                             XXX                    XX                                                               
                                            XXX                      XX                                                              
                                            XXX                      XXX                                                             
                                            XXX              XX XXX   XXXXXXXXXXX                                                    
                                            XX            XXXXX   XXXX  XXXXX   XXXX                                                 
                                            XX           XX                        XXX                                               
                                            XX                                       XX                                              
                                            X                                         XX                                             
                                            X                                          XX                                            
                                           XX                                           XX                                           
                                           XX X  XX                                      XX                                          
                                           X XX XXXX                                      XX                                         
                                           X  XX XXXX                       XXXXX         XX                                         
                                           X  XXXXXXX                     XXXXXXXX        XX                                         
                                           X  XXXXXXXX                    XXXXXXXX        XX                                         
                                           X  XXXXXXXXX                    XXXXXX         XX                                         
                                           X  XXXXXXXXXX                                 XX                                          
                                           X  XXXXXXXXXX                                 XX                                          
                                           X  XXXXXXXXXX                                XXX                                          
                                           XX XXXXXXXXXX                               XXX                                           
                                            X XXXXXXXX X                               XX                                            
                                            X XXXXXXXX XX                            XXX                                             
                                            X  XXXXXXX XXX          XXXXXXXXXXXXXXXXXXX                                              
                                             X XXXXXXX XXXX        XXXXXX                                                            
                                             X  XXXXXX XXXXX      XX  XXX                                                            
                                              X XXXXXX XX  XX     XX  XXX                                                            
                                              XX XXXXX XX   XX    XX  XXX                                                            
                                                X  XX  X     XXXXXXXX                                                                
                                                 XX   XX    XXXXXXXXXX                                                               
                                                  XXXXX      XX      XX                                                              
                                                    X       XX        X                                                              
                                                        XXXX    XXXXXXXXXX                                                           
                                                       XXX   XXXXXX   XXXXXX                                                         
                                                      XX                XXX X                                                        
                                    XXXXXXXXXXXXXXXXXXX                  XXXXXXXXXXXXXXXXXXXXXXXX                                    
                                   X                 XXXX   XXXXXXXX    XXX                      X                                   
                                  X                   XXXXXXX     XXX  XXX                        X                                  
                                 X                                  XXXXX                          X                                 
                                X                                                                   X                                
                               XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX                               
                               X                                                                     X                               
                               X                                                    XXXXXXXXXXXXXX   X                               
                               X                                                    X            X   X                               
                               X  XXXX  XXXXX XXXXX XXXXX XXXXX XXXX    XXX  XXXXX  X XXX  X   X X   X                               
                               X  X   X X   X X       X   X   X X   X    X   X      X  X   XX  X X   X                               
                               X  X   X X   X X       X   X   X XXXX     X   XXXXX  X  X   X X X X   X                               
                               X  X   X X   X X       X   X   X X X      X       X  X  X   X  XX X   X                               
                               X  XXXX  XXXXX XXXXX   X   XXXXX X  X    XXX  XXXXX  X XXX  X   X X   X                               
                               X                                                    X            X   X                               
                               X                                                    XXXXXXXXXXXXXX   X                               
                               X                                                                     X                               
                               X                                                                     X                               
                               X                                                                     X                               
1                                  JJJJJJJ   AAAAA   N     N  U     U   AAAAA   RRRRRR   Y     Y                                    
        999                           J     A     A  NN    N  U     U  A     A  R     R   Y   Y                           666       
       9   9                          J     A     A  N N   N  U     U  A     A  R     R    Y Y                           6          
   1    9999                          J     AAAAAAA  N  N  N  U     U  AAAAAAA  RRRRRR      Y                            6666   999 
  11       9                          J     A     A  N   N N  U     U  A     A  R   R       Y                            6   6 9   9
   1    999                        J  J     A     A  N    NN  U     U  A     A  R    R      Y                             666   9999
   1                                JJ      A     A  N     N   UUUUU   A     A  R     R     Y                                      9
 11111                                                                                                                          999 
                                                                                                                                    
                                                                                                                                    
         SUNDAY            MONDAY            TUESDAY          WEDNESDAY         THURSDAY           FRIDAY           SATURDAY        
                                                                                                                                    
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I           1     I          222    I         33333   I            4       
                     I                 I                 I          11     I         2   2   I             3   I           44       
                     I                 I                 I           1     I            2    I           33    I          4 4       
                     I                 I                 I           1     I          2      I         3   3   I         44444      
                     I                 I                 I         11111   I         22222   I          333    I            4       
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
             55555   I          666    I         77777   I          888    I          999    I    1     000    I    1      1        
             5       I         6       I             7   I         8   8   I         9   9   I   11    0   0   I   11     11        
             5555    I         6666    I            7    I          888    I          9999   I    1    0   0   I    1      1        
                 5   I         6   6   I           7     I         8   8   I             9   I    1    0   0   I    1      1        
             5555    I          666    I           7     I          888    I          999    I  11111   000    I  11111  11111      
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
        1     222    I    1    33333   I    1       4    I    1    55555   I    1     666    I    1    77777   I    1     888       
       11    2   2   I   11        3   I   11      44    I   11    5       I   11    6       I   11        7   I   11    8   8      
        1       2    I    1      33    I    1     4 4    I    1    5555    I    1    6666    I    1       7    I    1     888       
        1     2      I    1    3   3   I    1    44444   I    1        5   I    1    6   6   I    1      7     I    1    8   8      
      11111  22222   I  11111   333    I  11111     4    I  11111  5555    I  11111   666    I  11111    7     I  11111   888       
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
        1     999    I   222    000    I   222     1     I   222    222    I   222   33333   I   222      4    I   222   55555      
       11    9   9   I  2   2  0   0   I  2   2   11     I  2   2  2   2   I  2   2      3   I  2   2    44    I  2   2  5          
        1     9999   I     2   0   0   I     2     1     I     2      2    I     2     33    I     2    4 4    I     2   5555       
        1        9   I   2     0   0   I   2       1     I   2      2      I   2     3   3   I   2     44444   I   2         5      
      11111   999    I  22222   000    I  22222  11111   I  22222  22222   I  22222   333    I  22222     4    I  22222  5555       
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
       222    666    I   222   77777   I   222    888    I   222    999    I  33333   000    I  33333    1     I                    
      2   2  6       I  2   2      7   I  2   2  8   8   I  2   2  9   9   I      3  0   0   I      3   11     I                    
         2   6666    I     2      7    I     2    888    I     2    9999   I    33   0   0   I    33     1     I                    
       2     6   6   I   2       7     I   2     8   8   I   2         9   I  3   3  0   0   I  3   3    1     I                    
      22222   666    I  22222    7     I  22222   888    I  22222   999    I   333    000    I   333   11111   I                    
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
 -----------------------------------------------------------------------------------------------------------------------------------
1                                                    X X XXXXXXXXX                                                                   
                                                   XXXXX          OO                                                                 
                                                  XXXX X    //      OO                                                               
                                                 XX X     //         OO                                                              
                                                XXXX     //           OO                                                             
                                                XX      //            OO                                                             
                                               $$                      OO                                                            
                                              $$$                       OO                                                           
                                             $$$ $         ****   ****  OO                                                           
                                             $$$ $         *****  *****  O                                                           
                                             $$$ $         *****  *****  OO                                                          
                                            $$$$$$         *****  *****   OOOOO                                                      
                                            $$$ $$         ****    ****        OOO                                                   
                                           $$$$ $$                                 OO                                                
                                           $$$$$$$                                   OO                                              
                                           $$$$$$                                     OOO                                            
                                           $$$$$$$                                     OOO                                           
                                           $$$$$$$                                      OOO                                          
                                          $$$$$$ $$                                      OOO                                         
                                          $$$$$$$ $$                      MMMMMMM        OOO                                         
                                          $$$$$$$ $ OO                   MMMMMMMMMMM     OOO                                         
                                          $$$$$$$ $  OO                  MMMMMMMMMMM     OOO                                         
                                         $$$$$$$$ $   O OOOOOO              MMMMMMM      OOO                                         
                                         $ $$$$$$ $    O     OOOOOO                     OOO                                          
                                         $ $$$$$$ $    OO       OOO                    OOO                                           
                                         $$$$$$$  $     O       O  OOO              OOOO                                             
                                         $    $$  $      O      O    OOOOOOOOOOOOOOOO                                                
                                         $$   $ $        O      O    $ $  $$                                                         
                                          $$$ $ $       **********   $ $ $$$                                                         
                                            $$           O ***** OO  $  $$$                                                          
                                            $$          OO       OO  $$ $ $                                                          
                                                       OO        OO   $$ $                                                           
                                                        OO        OO                                                                 
                                                       OO          OO                                                                
                                                       OO           OO                                                               
                                                      OO            OO                                                               
                                                     OO             OO                                                               
                                                   OOO      O       OO                                                               
                                                  OOO       O       OOO                                                              
                                                 OOO  O     O        OO                                                              
                                                OOO  O     OO        OO                                                              
                                               OOO   O     OO        OO                                                              
                                              OO OOO O     OO        OO                                                              
                                             OOOO  OOO     OO        OO                                                              
                                            OOO     OO     OO       OO                                                               
                                            OOO     OO     OO       OOO                                                              
                                           OO       O      OOO     OO OOOO                                                           
                                           OO       O    OOOOOOOO OOOOOOOOOOOOOO                                                     
                                      IIIIIIOOO     O       O   OOOOOOO         OO                                                   
                                  IIII IIIIIIOO     O                 OOO        OO                                                  
                                III           OOOOOOO            OOOO    OO   O   OO          ------                                 
                                IIIIIII   II        O               OOO   OO   OO  O   --------                                      
                                     III   III      O          O      OO   O    O  O                                                 
                                       IIIIII IIII  OO         OO      OO  OOO  O OO          ------                                 
                                                 ----OOOOOOOOOOOOO     O OO OOOOOOO  ----------                                      
                                     ---------                 OOOOOOOO OO                                                           
                                                                                                                                     
                                                 LOVE IS A WET PUPPY DOG                                                             
1                              FFFFFFF  EEEEEEE  BBBBBB   RRRRRR   U     U   AAAAA   RRRRRR   Y     Y                               
        999                    F        E        B     B  R     R  U     U  A     A  R     R   Y   Y                      666       
       9   9                   F        E        B     B  R     R  U     U  A     A  R     R    Y Y                      6          
   1    9999                   FFFFF    EEEEE    BBBBBB   RRRRRR   U     U  AAAAAAA  RRRRRR      Y                       6666   999 
  11       9                   F        E        B     B  R   R    U     U  A     A  R   R       Y                       6   6 9   9
   1    999                    F        E        B     B  R    R   U     U  A     A  R    R      Y                        666   9999
   1                           F        EEEEEEE  BBBBBB   R     R   UUUUU   A     A  R     R     Y                                 9
 11111                                                                                                                          999 
                                                                                                                                    
                                                                                                                                    
         SUNDAY            MONDAY            TUESDAY          WEDNESDAY         THURSDAY           FRIDAY           SATURDAY        
                                                                                                                                    
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I           1        
                     I                 I                 I                 I                 I                 I          11        
                     I                 I                 I                 I                 I                 I           1        
                     I                 I                 I                 I                 I                 I           1        
                     I                 I                 I                 I                 I                 I         11111      
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
              222    I         33333   I            4    I         55555   I          666    I         77777   I          888       
             2   2   I             3   I           44    I         5       I         6       I             7   I         8   8      
                2    I           33    I          4 4    I         5555    I         6666    I            7    I          888       
              2      I         3   3   I         44444   I             5   I         6   6   I           7     I         8   8      
             22222   I          333    I            4    I         5555    I          666    I           7     I          888       
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
              999    I    1     000    I    1      1     I    1     222    I    1    33333   I    1       4    I    1    55555      
             9   9   I   11    0   0   I   11     11     I   11    2   2   I   11        3   I   11      44    I   11    5          
              9999   I    1    0   0   I    1      1     I    1       2    I    1      33    I    1     4 4    I    1    5555       
                 9   I    1    0   0   I    1      1     I    1     2      I    1    3   3   I    1    44444   I    1        5      
              999    I  11111   000    I  11111  11111   I  11111  22222   I  11111   333    I  11111     4    I  11111  5555       
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
        1     666    I    1    77777   I    1     888    I    1     999    I   222    000    I   222     1     I   222    222       
       11    6       I   11        7   I   11    8   8   I   11    9   9   I  2   2  0   0   I  2   2   11     I  2   2  2   2      
        1    6666    I    1       7    I    1     888    I    1     9999   I     2   0   0   I     2     1     I     2      2       
        1    6   6   I    1      7     I    1    8   8   I    1        9   I   2     0   0   I   2       1     I   2      2         
      11111   666    I  11111    7     I  11111   888    I  11111   999    I  22222   000    I  22222  11111   I  22222  22222      
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
       222   33333   I   222      4    I   222   55555   I   222    666    I   222   77777   I   222    888    I                    
      2   2      3   I  2   2    44    I  2   2  5       I  2   2  6       I  2   2      7   I  2   2  8   8   I                    
         2     33    I     2    4 4    I     2   5555    I     2   6666    I     2      7    I     2    888    I                    
       2     3   3   I   2     44444   I   2         5   I   2     6   6   I   2       7     I   2     8   8   I                    
      22222   333    I  22222     4    I  22222  5555    I  22222   666    I  22222    7     I  22222   888    I                    
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
 -----------------------------------------------------------------------------------------------------------------------------------
1                                                                                                                                    
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                              $$$$$$$$$$$$$$$ $$$$$$$$$$$$$$$$                                                                       
                              $$$$$$$$$$$$$$$ $$$$$$$$$$$$$$$$                                                                       
                              $$$$$$$$$$$$$$$ $$$$$$$$$$$$$$$$                                                                       
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                          $$$$$$$$$$$$             $$$$$$$$$$$$$$                                                                    
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                           $$$$$$$$$$$$ $$$$$$$$$$$$$ $$$$$$$$$$                                                                     
                            $$$$$$$$$   $$$$$$$$$$$$$   $$$$$$                                                                       
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                            $$$$$$                  $$  $$$$$$$$$$$$$$$$$$$                  .-------- *     .--                     
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                       $$$$$$$$$$$$$$$$           $$$$$$$$$$$$                              ,                 ..                     
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                     $$$$$$       $$$$$$$      $$$$$                                                 .        --..                   
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                                                                 S I G H  . . .                                                      
1                                           M     M   AAAAA   RRRRRR    CCCCC   H     H                                             
        999                                 MM   MM  A     A  R     R  C     C  H     H                                   666       
       9   9                                M M M M  A     A  R     R  C        H     H                                  6          
   1    9999                                M  M  M  AAAAAAA  RRRRRR   C        HHHHHHH                                  6666   999 
  11       9                                M     M  A     A  R   R    C        H     H                                  6   6 9   9
   1    999                                 M     M  A     A  R    R   C     C  H     H                                   666   9999
   1                                        M     M  A     A  R     R   CCCCC   H     H                                            9
 11111                                                                                                                          999 
                                                                                                                                    
                                                                                                                                    
         SUNDAY            MONDAY            TUESDAY          WEDNESDAY         THURSDAY           FRIDAY           SATURDAY        
                                                                                                                                    
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I           1        
                     I                 I                 I                 I                 I                 I          11        
                     I                 I                 I                 I                 I                 I           1        
                     I                 I                 I                 I                 I                 I           1        
                     I                 I                 I                 I                 I                 I         11111      
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
              222    I         33333   I            4    I         55555   I          666    I         77777   I          888       
             2   2   I             3   I           44    I         5       I         6       I             7   I         8   8      
                2    I           33    I          4 4    I         5555    I         6666    I            7    I          888       
              2      I         3   3   I         44444   I             5   I         6   6   I           7     I         8   8      
             22222   I          333    I            4    I         5555    I          666    I           7     I          888       
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
              999    I    1     000    I    1      1     I    1     222    I    1    33333   I    1       4    I    1    55555      
             9   9   I   11    0   0   I   11     11     I   11    2   2   I   11        3   I   11      44    I   11    5          
              9999   I    1    0   0   I    1      1     I    1       2    I    1      33    I    1     4 4    I    1    5555       
                 9   I    1    0   0   I    1      1     I    1     2      I    1    3   3   I    1    44444   I    1        5      
              999    I  11111   000    I  11111  11111   I  11111  22222   I  11111   333    I  11111     4    I  11111  5555       
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
        1     666    I    1    77777   I    1     888    I    1     999    I   222    000    I   222     1     I   222    222       
       11    6       I   11        7   I   11    8   8   I   11    9   9   I  2   2  0   0   I  2   2   11     I  2   2  2   2      
        1    6666    I    1       7    I    1     888    I    1     9999   I     2   0   0   I     2     1     I     2      2       
        1    6   6   I    1      7     I    1    8   8   I    1        9   I   2     0   0   I   2       1     I   2      2         
      11111   666    I  11111    7     I  11111   888    I  11111   999    I  22222   000    I  22222  11111   I  22222  22222      
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
       222   33333   I   222      4    I   222   55555   I   222    666    I   222   77777   I   222    888    I   222    999       
      2   2      3   I  2   2    44    I  2   2  5       I  2   2  6       I  2   2      7   I  2   2  8   8   I  2   2  9   9      
         2     33    I     2    4 4    I     2   5555    I     2   6666    I     2      7    I     2    888    I     2    9999      
       2     3   3   I   2     44444   I   2         5   I   2     6   6   I   2       7     I   2     8   8   I   2         9      
      22222   333    I  22222     4    I  22222  5555    I  22222   666    I  22222    7     I  22222   888    I  22222   999       
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
      33333   000    I  33333    1     I                 I                 I                 I                 I                    
          3  0   0   I      3   11     I                 I                 I                 I                 I                    
        33   0   0   I    33     1     I                 I                 I                 I                 I                    
      3   3  0   0   I  3   3    1     I                 I                 I                 I                 I                    
       333    000    I   333   11111   I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
 -----------------------------------------------------------------------------------------------------------------------------------
1OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                                                                                                                                    
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                                                                                                                                    
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                                                               $$$$$$$                                                              
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                                                           $$$$$$$$$$$$$$$                                                          
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                                                         $$$$$$$$$$$$$$$$$$                                                         
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                                                         $$$$$$$$$$$$$$$$$$                                                         
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                                   $$$$                    $$$$$$$$$$$$$$$                                                          
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                                 $$$$ $$                            $$$$$                                                           
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                              $$$$$$ $$$                          $$$$$$                                                            
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                             $$$$$$ $$$                        $$$$$$$$                                                             
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                           $$$$$$$ $$$              $$$$$$   $$$$$$       $$$$$$$$$$$$$                                             
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO            OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                          $$$$$$$$$$$           $$$$$$$$$$$$$$$$        $$            $$$$                                          
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO            OOOOOOOOOO                 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                         $$$$$$$$$$$           $$             $$$$$$$$$$                 $$                                         
 OOOOOOOOOOOOOOOOOOOOOOOOOO OOOOOOOOOOOOOOOOOOOO        OO                                 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                       $$$ $$$$$$$$          $$        $$                                 $$                                        
 OOOOOOOOOOOOOOOOOOOOOOOOO OOOOOOOOOOOOOOOOOOOO        OO                                   OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                      $$$ $$$$$$$$          $$        $$                                   $$                                       
 OOOOOOOOOOOOOOOOOOOOOOOOO OOOOOOOOOOOOOOOOOOO        OO                     OOOOOOOOO       OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                     $$$$ $$$$$$           $$        $$                     $$$$$$$$$       $$                                      
 OOOOOOOOOOOOOOOOOOOOOOOO OOOOOOOOOOOOOOOOOOO                               OOOOOOOOOOOO      OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                    $$$$ $$$$$$          $$$                               $$$$$$$$$$$$      $$                                     
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO                OO            OOOOOOOOOOOO      OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                    $$$$$$$$$$$$$$$$$$$$$$$$$                $$            $$$$$$$$$$$$      $$                                     
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO                OO                              OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                    $$$$$$$$$$$$$$$$$$$$$$$$$                $$                              $$                                     
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO                 OO                     OO     OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                     $$$$$$$$$$$$$$$$$$$$$$$$                 $$                     $$     $$                                      
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO                  OO                   OO     OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                       $$$$$$$$$$$$$$$    $$$                  $$                   $$     $$                                       
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO                    OO              OOO    OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                                           $$                    $$              $$$    $$$                                         
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO                    OO    OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                                            $$                    $$    $$$$$$$$$$$$$$$$                                            
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO                 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                                              $$$$                 $$$$$$$                                                          
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO              OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                                                 $$$$$              $$$              $$$$                                           
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO          OOOOOOOOOOOOOOOOOO  OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                                                     $$$$$          $$              $$  $   $$$                                     
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO        OOOOOOOOOOOOOOOOOO  OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                                                          $$        $$              $$  $$$$$$$$$                                   
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO       OOOOOOOOOOOOOOOOOO  O       OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                                                           $$       $$              $$  $       $$$                                 
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO           OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                                                             $$$$$$$$$$           $$           $$$$                                 
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO              OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                                                $$$$         $$$$$$$$$$$$      $$$              $$$                                 
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO    OOOOOOOOOOOOOOOOOOOOOOOOOOOO       OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                                              $$    $       $$$$$$$$$$$$$    $$$       $$$$$$$$$$$$                                 
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO     OOOOOOOOOOOOOO      OOOOOO      OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                                             $$     $        $$$$$      $$$$$$      $$$$    $$$$$                                   
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO    OOOOOOOOOOOOOO        O       OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                                              $$    $$           $        $       $$$                                               
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO  OOOOOOOOOOOOOO            OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                                                $$  $$$$$$$$$$$$$$            $$$$                                                  
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO                              OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                                             $$$$                              $$                                                   
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO                                   OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                                           $$                                   $$                                                  
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO        OOOOOOOOOOOOOO              OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                                          $$$        $$$$$$$$$$$$$$              $$                                                 
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO      OOOOOOOOOOOOOO               OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                                          $$$$$      $$          $$               $$                                                
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO   O   OOOOOOOOOOOOOO                OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                                           $$$   $   $           $$                $$                                               
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO  OOOOOOOOOOOOOOOOOO                 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                                             $$  $$$$$           $$                 $$                                              
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO                   OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                                               $$$$$            $$                   $$                                             
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO       OOOOOOO     OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                                                                $$       $$$$$$$     $$$                                            
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO     OOOO    OO     OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                                                         $$$    $$     $$$$    $$     $$                                            
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO   OO        OO     OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                                                       $$$$    $$$   $$        $$     $$                                            
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO OOO         OO     OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                                                      $$$     $$$$ $$$         $$     $$                                            
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO OOOOOOOOOOOOO           O      OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                                                     $ $$     $$$$$$           $      $$$$$$$                                       
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO  OOOOOOOOOOO            OO    OOO    OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                                                    $  $     $$$$$            $$    $$$    $$$                                      
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO  OOOOOOOOOOO            OO  OOO      OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                                                   $  $$     $$$$            $$  $$$      $$$                                       
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO  OOOOOOOOOOO           OOOO      OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                                                 $$$  $$     $$$$           $$$$      $$$$                                          
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO   OOOOOOOOOO          OOOOO   OOO OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                                                $$$   $$     $$$          $$$$$   $$$ $$$                                           
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO OO   OOOOOOOOOO         OOO       OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                                               $ $$   $$     $$$         $$$       $$$$$                                            
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO  O   OOOOOOOOOO       OOO      OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                                               $  $   $$     $$$       $$$      $$$$$$$$$$$$                                        
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO  O    OOOOOOOOOO   OOO      OOOOO      OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                                              $$  $    $$$$$$$$$$   $$$      $$$$$      $$$                                         
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO  O      OOOOOOOO  OOOOOOOOOOOOO    OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                                              $$  $      $$$$$$$$  $$$$$$$$$$$$$    $$$$$                                           
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO  OOOOOOOOOOOOO     OOOOOO      OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                                              $$  $$$$$$$$$$$$$     $$$$$$      $$$$$$$$$                                           
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO       OOOOOOOOOOOOOO     OOOOOOO       OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                                               $$       $$$$$$$$$$$$$$     $$$$$$$       $$$$$                                      
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO                OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                                                $$$$$$$$$$$$$$$$$$$$$$$$$$$$                $$$                                     
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO          OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                                                      $$$$    $$$          $$$$$$$$$$$$$$$$$$$$$                                    
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO       O       OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                                               $$$$$$$$$$       $$$$$$       $       $$$$$                                          
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO    OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                                                $$$$$$$$             $$$$$$$$$$$$    $$$$$$                                         
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                                                                               $$$$$$$$$$$                                          
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
1                                            AAAAA   PPPPPP   RRRRRR   IIIIIII  L                                                   
        999                                 A     A  P     P  R     R     I     L                                         666       
       9   9                                A     A  P     P  R     R     I     L                                        6          
   1    9999                                AAAAAAA  PPPPPP   RRRRRR      I     L                                        6666   999 
  11       9                                A     A  P        R   R       I     L                                        6   6 9   9
   1    999                                 A     A  P        R    R      I     L                                         666   9999
   1                                        A     A  P        R     R  IIIIIII  LLLLLLL                                            9
 11111                                                                                                                          999 
                                                                                                                                    
                                                                                                                                    
         SUNDAY            MONDAY            TUESDAY          WEDNESDAY         THURSDAY           FRIDAY           SATURDAY        
                                                                                                                                    
                     I                 I                 I                 I                 I                 I                    
                     I                 I           1     I          222    I         33333   I            4    I         55555      
                     I                 I          11     I         2   2   I             3   I           44    I         5          
                     I                 I           1     I            2    I           33    I          4 4    I         5555       
                     I                 I           1     I          2      I         3   3   I         44444   I             5      
                     I                 I         11111   I         22222   I          333    I            4    I         5555       
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
              666    I         77777   I          888    I          999    I    1     000    I    1      1     I    1     222       
             6       I             7   I         8   8   I         9   9   I   11    0   0   I   11     11     I   11    2   2      
             6666    I            7    I          888    I          9999   I    1    0   0   I    1      1     I    1       2       
             6   6   I           7     I         8   8   I             9   I    1    0   0   I    1      1     I    1     2         
              666    I           7     I          888    I          999    I  11111   000    I  11111  11111   I  11111  22222      
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
        1    33333   I    1       4    I    1    55555   I    1     666    I    1    77777   I    1     888    I    1     999       
       11        3   I   11      44    I   11    5       I   11    6       I   11        7   I   11    8   8   I   11    9   9      
        1      33    I    1     4 4    I    1    5555    I    1    6666    I    1       7    I    1     888    I    1     9999      
        1    3   3   I    1    44444   I    1        5   I    1    6   6   I    1      7     I    1    8   8   I    1        9      
      11111   333    I  11111     4    I  11111  5555    I  11111   666    I  11111    7     I  11111   888    I  11111   999       
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
       222    000    I   222     1     I   222    222    I   222   33333   I   222      4    I   222   55555   I   222    666       
      2   2  0   0   I  2   2   11     I  2   2  2   2   I  2   2      3   I  2   2    44    I  2   2  5       I  2   2  6          
         2   0   0   I     2     1     I     2      2    I     2     33    I     2    4 4    I     2   5555    I     2   6666       
       2     0   0   I   2       1     I   2      2      I   2     3   3   I   2     44444   I   2         5   I   2     6   6      
      22222   000    I  22222  11111   I  22222  22222   I  22222   333    I  22222     4    I  22222  5555    I  22222   666       
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
       222   77777   I   222    888    I   222    999    I  33333   000    I                 I                 I                    
      2   2      7   I  2   2  8   8   I  2   2  9   9   I      3  0   0   I                 I                 I                    
         2      7    I     2    888    I     2    9999   I    33   0   0   I                 I                 I                    
       2       7     I   2     8   8   I   2         9   I  3   3  0   0   I                 I                 I                    
      22222    7     I  22222   888    I  22222   999    I   333    000    I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
 -----------------------------------------------------------------------------------------------------------------------------------
1                                                        ********************                                                        
+                                                        QQQQQQQQQQQQQQQQQQQQ                                                        
                                                      ***                    ***                                                     
+                                                     QQQ                    QQQ                                                     
                                                    **                          **                                                   
+                                                   QQ                          QQ                                                   
                                                  **          **********         *                                                   
+                                                 QQ          QQQQQQQQQQ         Q                                                   
                                                 *                      *         **                                                 
+                                                Q                      Q         QQ                                                 
                                                *                       *           *                                                
+                                               Q                       Q           Q                                                
                                              **        *   **        **             *                                               
+                                             QQ        Q   QQ        QQ             Q                                               
                                              *          *************                **                                             
+                                             Q          QQQQQQQQQQQQQ                QQ                                             
                                             *                                         *                                             
+                                            Q                                         Q                                             
                                             *                                          *                                            
+                                            Q                                          Q                                            
                                             *            ***   ****  ***               *                                            
+                                            Q            QQQ   QQQQ  QQQ               Q                                            
                                             *            ***       * ***               *                                            
+                                            Q            QQQ       Q QQQ               Q                                            
                                             *                      *                   *                                            
+                                            Q                      Q                   Q                                            
                                             *                ******                    **                                           
+                                            Q                QQQQQQ                    QQ                                           
                                           ***                                          * **                                         
+                                          QQQ                                          Q QQ                                         
                                           *                                 *          * **                                         
+                                          Q                                 Q          Q QQ                                         
                                           *                                 ***        * **                                         
+                                          Q                                 QQQ        Q QQ                                         
                                           *          ***                   *          ***                                           
+                                          Q          QQQ                   Q          QQQ                                           
                                            ****         *                **           *                                             
+                                           QQQQ         Q                QQ           Q                                             
                                                *         ****************            *                                              
+                                               Q         QQQQQQQQQQQQQQQQ            Q                                              
                                                 *                                   *                                               
+                                                Q                                   Q                                               
                                                  **                                *                                                
+                                                 QQ                                Q                                                
                                                    *                             **                                                 
+                                                   Q                             QQ                                                 
                                                     ***                        **                                                   
+                                                    QQQ                        QQ                                                   
                                                        **                  ****                                                     
+                                                       QQ                  QQQQ                                                     
                                                          ******************                                                         
+                                                         QQQQQQQQQQQQQQQQQQ                                                         
                                                          ****************                                                           
+                                                         QQQQQQQQQQQQQQQQ                                                           
                                            ****          ***            ***              ****  **                                   
+                                           QQQQ          QQQ            QQQ              QQQQ  QQ                                   
                                       *****  **         *   *          *   *            *    ** ***                                 
+                                      QQQQQ  QQ         Q   Q          Q   Q            Q    QQ QQQ                                 
                                       **  *  ****      *     **********     *           *    ** ***                                 
+                                      QQ  Q  QQQQ      Q     QQQQQQQQQQ     Q           Q    QQ QQQ                                 
                                         ***  **  ******                      ************   *   ****                                
+                                        QQQ  QQ  QQQQQQ                      QQQQQQQQQQQQ   Q   QQQQ                                
                                       *****    *   *                                 **    *       *                                
+                                      QQQQQ    Q   Q                                 QQ    Q       Q                                
                                     **  **     ******************************************       *                                   
+                                    QQ  QQ     QQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQ       Q                                   
                                     *******        *                           *     **         ***                                 
+                                    QQQQQQQ        Q                           Q     QQ         QQQ                                 
                                        ****        *                            *    **     *** *                                   
+                                       QQQQ        Q                            Q    QQ     QQQ Q                                   
                                           ***      *                             **    *    *  **                                   
+                                          QQQ      Q                             QQ    Q    Q  QQ                                   
                                           * *    **  **                          **     *  **                                       
+                                          Q Q    QQ  QQ                          QQ     Q  QQ                                       
                                           *  ********                            **     ***                                         
+                                          Q  QQQQQQQQ                            QQ     QQQ                                         
                                           *        *       *       *         **  *******                                            
+                                          Q        Q       Q       Q         QQ  QQQQQQQ                                            
                                           *        **     ****    ****      **** ****                                               
+                                          Q        QQ     QQQQ    QQQQ      QQQQ QQQQ                                               
                                           *        ****  ******  ******    **********                                               
+                                          Q        QQQQ  QQQQQQ  QQQQQQ    QQQQQQQQQQ                                               
                                           *        ***** ******* ******* *************                                              
+                                          Q        QQQQQ QQQQQQQ QQQQQQQ QQQQQQQQQQQQQ                                              
                                           *        ***********************************                                              
+                                          Q        QQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQ                                              
                                           *        * ******* ******* *******   *******                                              
+                                          Q        Q QQQQQQQ QQQQQQQ QQQQQQQ   QQQQQQQ                                              
                                        ******      *   ****    ****    ****     **** *                                              
+                                       QQQQQQ      Q   QQQQ    QQQQ    QQQQ     QQQQ Q                                              
                                      **      **    *    *       *       *        **  *                                              
+                                     QQ      QQ    Q    Q       Q       Q        QQ  Q                                              
                                     *          *   *                                 *                                              
+                                    Q          Q   Q                                 Q                                              
                                    **************  *                                 *                                              
+                                   QQQQQQQQQQQQQQ  Q                                 Q                                              
                                    *            *  ***********************************                                              
+                                   Q            Q  QQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQ                                              
                                    **************  ***********************************                                              
+                                   QQQQQQQQQQQQQQ  QQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQ                                              
                                    **************  ***********************************                                              
+                                   QQQQQQQQQQQQQQ  QQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQ                                              
                                     *          *   ***********************************                                              
+                                    Q          Q   QQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQ                                              
                                      **      **         *   *****************   *                                                   
+                                     QQ      QQ         Q   QQQQQQQQQQQQQQQQQ   Q                                                   
                                        ******           *        **    *        *                                                   
+                                       QQQQQQ           Q        QQ    Q        Q                                                   
                                                         *   *******  ************                                                   
+                                                        Q   QQQQQQQ  QQQQQQQQQQQQ                                                   
                                                         *********** *********************                                           
+                                                        QQQQQQQQQQQ QQQQQQQQQQQQQQQQQQQQQ                                           
                                                      ***********   *****************     ***                                        
+                                                     QQQQQQQQQQQ   QQQQQQQQQQQQQQQQQ     QQQ                                        
                                                     *                       *              *                                        
+                                                    Q                       Q              Q                                        
                                                    *                       *****************                                        
+                                                   Q                       QQQQQQQQQQQQQQQQQ                                        
                                                     ***********************                                                         
+                                                    QQQQQQQQQQQQQQQQQQQQQQQ                                                         
1                                                    M     M   AAAAA   Y     Y                                                      
        999                                          MM   MM  A     A   Y   Y                                             666       
       9   9                                         M M M M  A     A    Y Y                                             6          
   1    9999                                         M  M  M  AAAAAAA     Y                                              6666   999 
  11       9                                         M     M  A     A     Y                                              6   6 9   9
   1    999                                          M     M  A     A     Y                                               666   9999
   1                                                 M     M  A     A     Y                                                        9
 11111                                                                                                                          999 
                                                                                                                                    
                                                                                                                                    
         SUNDAY            MONDAY            TUESDAY          WEDNESDAY         THURSDAY           FRIDAY           SATURDAY        
                                                                                                                                    
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I           1     I          222    I         33333      
                     I                 I                 I                 I          11     I         2   2   I             3      
                     I                 I                 I                 I           1     I            2    I           33       
                     I                 I                 I                 I           1     I          2      I         3   3      
                     I                 I                 I                 I         11111   I         22222   I          333       
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
                4    I         55555   I          666    I         77777   I          888    I          999    I    1     000       
               44    I         5       I         6       I             7   I         8   8   I         9   9   I   11    0   0      
              4 4    I         5555    I         6666    I            7    I          888    I          9999   I    1    0   0      
             44444   I             5   I         6   6   I           7     I         8   8   I             9   I    1    0   0      
                4    I         5555    I          666    I           7     I          888    I          999    I  11111   000       
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
        1      1     I    1     222    I    1    33333   I    1       4    I    1    55555   I    1     666    I    1    77777      
       11     11     I   11    2   2   I   11        3   I   11      44    I   11    5       I   11    6       I   11        7      
        1      1     I    1       2    I    1      33    I    1     4 4    I    1    5555    I    1    6666    I    1       7       
        1      1     I    1     2      I    1    3   3   I    1    44444   I    1        5   I    1    6   6   I    1      7        
      11111  11111   I  11111  22222   I  11111   333    I  11111     4    I  11111  5555    I  11111   666    I  11111    7        
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
        1     888    I    1     999    I   222    000    I   222     1     I   222    222    I   222   33333   I   222      4       
       11    8   8   I   11    9   9   I  2   2  0   0   I  2   2   11     I  2   2  2   2   I  2   2      3   I  2   2    44       
        1     888    I    1     9999   I     2   0   0   I     2     1     I     2      2    I     2     33    I     2    4 4       
        1    8   8   I    1        9   I   2     0   0   I   2       1     I   2      2      I   2     3   3   I   2     44444      
      11111   888    I  11111   999    I  22222   000    I  22222  11111   I  22222  22222   I  22222   333    I  22222     4       
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
       222   55555   I   222    666    I   222   77777   I   222    888    I   222    999    I  33333   000    I  33333    1        
      2   2  5       I  2   2  6       I  2   2      7   I  2   2  8   8   I  2   2  9   9   I      3  0   0   I      3   11        
         2   5555    I     2   6666    I     2      7    I     2    888    I     2    9999   I    33   0   0   I    33     1        
       2         5   I   2     6   6   I   2       7     I   2     8   8   I   2         9   I  3   3  0   0   I  3   3    1        
      22222  5555    I  22222   666    I  22222    7     I  22222   888    I  22222   999    I   333    000    I   333   11111      
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
 -----------------------------------------------------------------------------------------------------------------------------------
1                                                    ***                                                                             
                                                   ******                                                                            
                                                 *        *                                                                          
                                                *          *                                                                         
                                                *          *       *****                                                             
                                               *           *    *        *                                                           
                                               *          *    *          *      ****                                                
                                               *          **  *            *   **  * *                                               
                                              * OO      *  &&         *   **        *                                                
                                             *        *     &&              *   **   *                                               
                                            *               &&               *** *****                                               
                                            *               &&  *********            *                                               
                                            *               &&           *           *                                               
                                              **  ***       &&*******     ******     *                                               
                                    XXXXXXXXXXXX**&&&*******&&XXXXXXX*  **XXXXXX*****XXXXXXXXXXXXXXXX                                
                                    X            &&&&&                **                            X                                
                                    X            &&&&&                                              X                                
                                    X            &&&&&                                              X                                
                                    X           &&&&&&                                              X                                
                                    X           &&&&&&                                              X                                
                                   XXXXXXXXXXXXX&&&&&&XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX                               
                                   X           &&&&&&&                                               X                               
                                   X           &&&&&&&                                               X                               
                                   X            &&&&&&                                               X                               
                                   X             &&&&                                                X                               
                                   X              &&                                                 X                               
                                   X                                                                 X                               
                                  XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX                              
                                  X                                                                   X                              
                                  X                                                                   X                              
                                  X                                                                   X                              
                                  X                                                                   X                              
                                  X                                                                   X                              
                                  X                                                                   X                              
                                  XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX                              
                                   X                                                                 X                               
                                   XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX                               
                                           X                                               X                                         
                                           X                                               X                                         
                                           XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX                                         
                                           X                                               X                                         
                                           X                                               X                                         
                                           X                                               X                                         
                                           X                                               X                                         
                                           X                                               X                                         
                                           XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX                                         
                                           X                                               X                                         
                                           X                                               X                                         
                                           X                                               X                                         
                                           X                                               X                                         
                                           X                                               X                                         
                                           XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX                                         
                                           X                                               X                                         
                                           XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX                                         
1                                                JJJJJJJ  U     U  N     N  EEEEEEE                                                 
        999                                         J     U     U  NN    N  E                                             666       
       9   9                                        J     U     U  N N   N  E                                            6          
   1    9999                                        J     U     U  N  N  N  EEEEE                                        6666   999 
  11       9                                        J     U     U  N   N N  E                                            6   6 9   9
   1    999                                      J  J     U     U  N    NN  E                                             666   9999
   1                                              JJ       UUUUU   N     N  EEEEEEE                                                9
 11111                                                                                                                          999 
                                                                                                                                    
                                                                                                                                    
         SUNDAY            MONDAY            TUESDAY          WEDNESDAY         THURSDAY           FRIDAY           SATURDAY        
                                                                                                                                    
                     I                 I                 I                 I                 I                 I                    
               1     I          222    I         33333   I            4    I         55555   I          666    I         77777      
              11     I         2   2   I             3   I           44    I         5       I         6       I             7      
               1     I            2    I           33    I          4 4    I         5555    I         6666    I            7       
               1     I          2      I         3   3   I         44444   I             5   I         6   6   I           7        
             11111   I         22222   I          333    I            4    I         5555    I          666    I           7        
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
              888    I          999    I    1     000    I    1      1     I    1     222    I    1    33333   I    1       4       
             8   8   I         9   9   I   11    0   0   I   11     11     I   11    2   2   I   11        3   I   11      44       
              888    I          9999   I    1    0   0   I    1      1     I    1       2    I    1      33    I    1     4 4       
             8   8   I             9   I    1    0   0   I    1      1     I    1     2      I    1    3   3   I    1    44444      
              888    I          999    I  11111   000    I  11111  11111   I  11111  22222   I  11111   333    I  11111     4       
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
        1    55555   I    1     666    I    1    77777   I    1     888    I    1     999    I   222    000    I   222     1        
       11    5       I   11    6       I   11        7   I   11    8   8   I   11    9   9   I  2   2  0   0   I  2   2   11        
        1    5555    I    1    6666    I    1       7    I    1     888    I    1     9999   I     2   0   0   I     2     1        
        1        5   I    1    6   6   I    1      7     I    1    8   8   I    1        9   I   2     0   0   I   2       1        
      11111  5555    I  11111   666    I  11111    7     I  11111   888    I  11111   999    I  22222   000    I  22222  11111      
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
       222    222    I   222   33333   I   222      4    I   222   55555   I   222    666    I   222   77777   I   222    888       
      2   2  2   2   I  2   2      3   I  2   2    44    I  2   2  5       I  2   2  6       I  2   2      7   I  2   2  8   8      
         2      2    I     2     33    I     2    4 4    I     2   5555    I     2   6666    I     2      7    I     2    888       
       2      2      I   2     3   3   I   2     44444   I   2         5   I   2     6   6   I   2       7     I   2     8   8      
      22222  22222   I  22222   333    I  22222     4    I  22222  5555    I  22222   666    I  22222    7     I  22222   888       
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
       222    999    I  33333   000    I                 I                 I                 I                 I                    
      2   2  9   9   I      3  0   0   I                 I                 I                 I                 I                    
         2    9999   I    33   0   0   I                 I                 I                 I                 I                    
       2         9   I  3   3  0   0   I                 I                 I                 I                 I                    
      22222   999    I   333    000    I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
 -----------------------------------------------------------------------------------------------------------------------------------
1                                                                                         ***********                                
                                                                                       *******************                           
                                                                                    ****    **   **  **  ****                        
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                            ****                                               ***                       **   ***                    
                           **                                               ***                            **** ***                  
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                   ****   *                 ************                    **                                 *** **                
                ************              ****       ******                 **   ***                                **               
              *****        **** **     ****               ***               ***   *****                              **              
            ***              ************                    *** ***         ***      ****                           ***             
           ***                  **                            *******         **         ****                         **             
          **                    **                            ***  ***         **           *****                     ***            
         **                     **                             *******         ***              *****                  **            
         *                       **                            *******          ***                 *****              **            
        *                                                     ******             ***                   ******          **            
        *                                                     **                   ***                      *******    **            
       ***                    ******                        ***                     ****                          ***  **            
       ***                  *************                *****                        ****                            **             
       *****                **        *********************                             ****                        ***              
       *******              **                *********                                    ******                ****                
       ********             **                                                                *******       ******                   
      ***********           ***                                                                     **********                       
      ************           **                                                                                                      
      **************         ***                                                                                                     
      ***************          ***                                                                                                   
      ***************           *****        ******                                                                                  
       ***************             ************  **                                                                                  
       ****************                        ***                                                                                   
        ****************                *********                                                                                    
         ****************               **  **                                                                                       
          *********************          ******    *********                  ******                                                 
           ************************     ************************             **    ***                                               
            ***************      **********                   *****          **     ***                                              
             ***************       *****        *******           ***        **   **  **                                             
               *************         *     ****************         ***      **        **                                            
                 ***********       *** *****              ***         **      **     *****                                           
                    ********      ***                       **         **      **        **                                          
                      ******     **                         **         ***       **      **                                          
                        ***      **        ********   *  *   **         **        **     ***                                         
                                 ********** **    **  *  *  ***         **        **      **                                         
                                             *     ***********          ************      **                                         
                                             **                         *****    ***      **                                         
                                             **                                           **                                         
                                              *                                           **                                         
                                              **                                          **                                         
                                               **                          ********       **                                         
                                                **                        *************  ***                                         
                                                 **                     ***         ******                                           
                                                  **                  ***                                                            
                                                   ****      **       **                                                             
                                                     **********      **                                                              
                                                           ***      **                                                               
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                                               ***                      **                                                           
                                               **                        **                                                          
                                                **               ***      *                                                          
                                                 ***       **      ***  **                                                           
                                                   ****     **       ***                                                             
                                                      ****************                                                               
                                                                                                                                     
1                                                JJJJJJJ  U     U  L        Y     Y                                                 
        999                                         J     U     U  L         Y   Y                                        666       
       9   9                                        J     U     U  L          Y Y                                        6          
   1    9999                                        J     U     U  L           Y                                         6666   999 
  11       9                                        J     U     U  L           Y                                         6   6 9   9
   1    999                                      J  J     U     U  L           Y                                          666   9999
   1                                              JJ       UUUUU   LLLLLLL     Y                                                   9
 11111                                                                                                                          999 
                                                                                                                                    
                                                                                                                                    
         SUNDAY            MONDAY            TUESDAY          WEDNESDAY         THURSDAY           FRIDAY           SATURDAY        
                                                                                                                                    
                     I                 I                 I                 I                 I                 I                    
                     I                 I           1     I          222    I         33333   I            4    I         55555      
                     I                 I          11     I         2   2   I             3   I           44    I         5          
                     I                 I           1     I            2    I           33    I          4 4    I         5555       
                     I                 I           1     I          2      I         3   3   I         44444   I             5      
                     I                 I         11111   I         22222   I          333    I            4    I         5555       
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
              666    I         77777   I          888    I          999    I    1     000    I    1      1     I    1     222       
             6       I             7   I         8   8   I         9   9   I   11    0   0   I   11     11     I   11    2   2      
             6666    I            7    I          888    I          9999   I    1    0   0   I    1      1     I    1       2       
             6   6   I           7     I         8   8   I             9   I    1    0   0   I    1      1     I    1     2         
              666    I           7     I          888    I          999    I  11111   000    I  11111  11111   I  11111  22222      
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
        1    33333   I    1       4    I    1    55555   I    1     666    I    1    77777   I    1     888    I    1     999       
       11        3   I   11      44    I   11    5       I   11    6       I   11        7   I   11    8   8   I   11    9   9      
        1      33    I    1     4 4    I    1    5555    I    1    6666    I    1       7    I    1     888    I    1     9999      
        1    3   3   I    1    44444   I    1        5   I    1    6   6   I    1      7     I    1    8   8   I    1        9      
      11111   333    I  11111     4    I  11111  5555    I  11111   666    I  11111    7     I  11111   888    I  11111   999       
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
       222    000    I   222     1     I   222    222    I   222   33333   I   222      4    I   222   55555   I   222    666       
      2   2  0   0   I  2   2   11     I  2   2  2   2   I  2   2      3   I  2   2    44    I  2   2  5       I  2   2  6          
         2   0   0   I     2     1     I     2      2    I     2     33    I     2    4 4    I     2   5555    I     2   6666       
       2     0   0   I   2       1     I   2      2      I   2     3   3   I   2     44444   I   2         5   I   2     6   6      
      22222   000    I  22222  11111   I  22222  22222   I  22222   333    I  22222     4    I  22222  5555    I  22222   666       
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
       222   77777   I   222    888    I   222    999    I  33333   000    I  33333    1     I                 I                    
      2   2      7   I  2   2  8   8   I  2   2  9   9   I      3  0   0   I      3   11     I                 I                    
         2      7    I     2    888    I     2    9999   I    33   0   0   I    33     1     I                 I                    
       2       7     I   2     8   8   I   2         9   I  3   3  0   0   I  3   3    1     I                 I                    
      22222    7     I  22222   888    I  22222   999    I   333    000    I   333   11111   I                 I                    
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
 -----------------------------------------------------------------------------------------------------------------------------------
1                                                              **********                                                            
                                                           ****          ****                                                        
                                                        ***                  **                                                      
                                                      **      ******           **                                                    
                                                     *      **                   *                                                   
                                                    *      *                      *                                                  
                                                   *       *      *      *         *                                                 
                                                  *         **  ** **  **          *                                                 
                                                  *           **     **            *                                                 
                                                 *      *                **         *                                                
                                                 *     *       ****        *        *                                                
                                                *     *    OO *     OO     *        **                                               
                                                *     *       *           *        *  *                                              
                                                *      *       ***                     *                                             
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                                                      *     **            **                                                         
                                                     **     *************&&&                                                         
                                                  **        ***&&&&****&&&&&&&                                                       
                                                    **      ****&&******&&&&&                                                        
                                                 *          *&&&&&&&&&&&&&&&&&                                                       
                                                *           *&&&&&&&&&&&&&&&&&&                                                      
                                                *          *&&&&&&&&&&&&&&&&&&&&                                                     
                                               &*         *&&&&&&&&&&&&&&&&&&&&&                                                     
                                               &&*       *&&&&&&&&&&&&&*&&&&&&&&                                                     
                                               &&&**  ***&&&&&&&&&&&&&&**&&&&&&&&                                                    
                                                &&O&**&&&O&&&&&&O&&&&&&O*&&&&&&&&                                                    
                                                 OOO&&&&OOO&&&&OOO&&&&OO*&&&&&&&&                                                    
                                                 OOOO&&OOOOO&&OOOOO&&OOO*      *&                                                    
                                                 OOOOOOOOOOOOOOOOOOOOOOO*      *&&                                                   
                                                 &&OOOOOO&OOOOOO&OOOOOO&*      *&&                                                   
                                                &&&&OOOO&&&OOOO&&&OOOO&&*      **&&                                                  
                                                &&&&&OO&&&&&OO&&&&&OO&&&* * * ****&                                                  
                                                &&&&&&&&&&&&&&&&&&&&&&&&* * ** *&&&                                                  
                                                &&&&&&&&&&&&&&&&&&&&&&&&*****&*&&&&                                                  
                                                 XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX                                                   
                                                 XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX                                                   
                                                 XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX                                                   
                                                         *       *  *        *                                                       
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                                                         *       *  *        *                                                       
                                                    ****************************                                                     
                                                ****         ****              **                                                    
                                              **            **                  **                                                   
                                             *************************************                                                   
                                                                                                                                     
                                                      OH, GOOD GRIEF                                                                 
1                                        AAAAA   U     U   GGGGG   U     U   SSSSS   TTTTTTT                                        
        999                             A     A  U     U  G     G  U     U  S     S     T                                 666       
       9   9                            A     A  U     U  G        U     U  S           T                                6          
   1    9999                            AAAAAAA  U     U  G   GGG  U     U   SSSSS      T                                6666   999 
  11       9                            A     A  U     U  G     G  U     U        S     T                                6   6 9   9
   1    999                             A     A  U     U  G     G  U     U  S     S     T                                 666   9999
   1                                    A     A   UUUUU    GGGGG    UUUUU    SSSSS      T                                          9
 11111                                                                                                                          999 
                                                                                                                                    
                                                                                                                                    
         SUNDAY            MONDAY            TUESDAY          WEDNESDAY         THURSDAY           FRIDAY           SATURDAY        
                                                                                                                                    
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I           1     I          222       
                     I                 I                 I                 I                 I          11     I         2   2      
                     I                 I                 I                 I                 I           1     I            2       
                     I                 I                 I                 I                 I           1     I          2         
                     I                 I                 I                 I                 I         11111   I         22222      
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
             33333   I            4    I         55555   I          666    I         77777   I          888    I          999       
                 3   I           44    I         5       I         6       I             7   I         8   8   I         9   9      
               33    I          4 4    I         5555    I         6666    I            7    I          888    I          9999      
             3   3   I         44444   I             5   I         6   6   I           7     I         8   8   I             9      
              333    I            4    I         5555    I          666    I           7     I          888    I          999       
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
        1     000    I    1      1     I    1     222    I    1    33333   I    1       4    I    1    55555   I    1     666       
       11    0   0   I   11     11     I   11    2   2   I   11        3   I   11      44    I   11    5       I   11    6          
        1    0   0   I    1      1     I    1       2    I    1      33    I    1     4 4    I    1    5555    I    1    6666       
        1    0   0   I    1      1     I    1     2      I    1    3   3   I    1    44444   I    1        5   I    1    6   6      
      11111   000    I  11111  11111   I  11111  22222   I  11111   333    I  11111     4    I  11111  5555    I  11111   666       
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
        1    77777   I    1     888    I    1     999    I   222    000    I   222     1     I   222    222    I   222   33333      
       11        7   I   11    8   8   I   11    9   9   I  2   2  0   0   I  2   2   11     I  2   2  2   2   I  2   2      3      
        1       7    I    1     888    I    1     9999   I     2   0   0   I     2     1     I     2      2    I     2     33       
        1      7     I    1    8   8   I    1        9   I   2     0   0   I   2       1     I   2      2      I   2     3   3      
      11111    7     I  11111   888    I  11111   999    I  22222   000    I  22222  11111   I  22222  22222   I  22222   333       
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
       222      4    I   222   55555   I   222    666    I   222   77777   I   222    888    I   222    999    I  33333   000       
      2   2    44    I  2   2  5       I  2   2  6       I  2   2      7   I  2   2  8   8   I  2   2  9   9   I      3  0   0      
         2    4 4    I     2   5555    I     2   6666    I     2      7    I     2    888    I     2    9999   I    33   0   0      
       2     44444   I   2         5   I   2     6   6   I   2       7     I   2     8   8   I   2         9   I  3   3  0   0      
      22222     4    I  22222  5555    I  22222   666    I  22222    7     I  22222   888    I  22222   999    I   333    000       
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
      33333    1     I                 I                 I                 I                 I                 I                    
          3   11     I                 I                 I                 I                 I                 I                    
        33     1     I                 I                 I                 I                 I                 I                    
      3   3    1     I                 I                 I                 I                 I                 I                    
       333   11111   I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
 -----------------------------------------------------------------------------------------------------------------------------------
1                                                                                                                                    
                                                                                                                                     
                                                                                                                                     
                                                         XXXXXXXXXXXXX                                                               
                                                      XXXX           XXX                                                             
                                                      X                    XX                                                        
                                                     XX                      XX                                                      
                                                    XX                          XX                                                   
                                                   XX                             XX                                                 
                                                  XX                                XX                                               
                                                 XX                                  XX                                              
                                                 XX                                   XX                                             
                                                 XX                                    XX                                            
                                                 XX                XXXXX                XX                                           
                                     XXXXXXXXXXX XX         X    X  XXX  X               XX                                          
                                 RRRR        XXX  X       XX    X X     X X              XX                                          
                             RRRRRRRRR       XXXXX XXXXXX XX XX X      X  X             XX                                           
                          RRRRRRRRRRRR       XXX                 X      X X             XX                                           
                        RRRRRRRRRRRRRRR      XXX                       X X            XX                                             
                     X    RRRRRRRRRRRRRR     XXX                     X XX           XX                                               
                   X       RRRRRRRRRRRRRR    XXXXXXX                   XX         XX                                                 
                 X          RRRRRRRRRRRRR  XXXXX   X                      X     XX                                                   
               RR            RRRRRRRX        XXX    X                       X    XX                                                  
              RRRR            RRRRRX         XX     X              XX       X     XX                                                 
             RRRRRR            RRRX          RX      X              XX      X      XX                                                
            RRRRRRRR            RRX       RRRRX       X               X XXXX        XX                                               
           RRRRRRRRRR            RX    RRRRRRRX        X              XX   X        XX                                               
          RRRRRRRRRRRR         VVVVXRRRRRRRRRRX         X             X    X        XX                                               
          RRRRRRRRRRRRR     VVVVVVVVVRRRRRRRRXX           X     XX    X     X      XX                                                
         RRRRRRRRRRRRRRR  VVVVVVVVVVVVVRRRRXXX X            X X  X    X      X    XX                                                 
        X  RRRRRRRRRRRRRVVVVVVVVVVVVVVVVRXXX    X                 XXX         XXX                                                    
        X    RRRRRRRRRRVVVVVVVVVVVVVVVVVXX       XX                                                                                  
       X       RRRRRRRVVVVVVVVVVVVVVVVVV           XX                                                                                
       X          RRRVVVVVVVVVVVVVVVVVVVX            X-----                                                                          
      X            RVVVVVVVVVVVVVVVVVVVV XX            ----         /                                                                
      RR            VVVVVVVVVVVVVVVVVVVV   XXX         ----        /                                                                 
      RRRR         VVVVVVVVVVVVVVVVVVVV    BBBX       ----        /                                                                  
      RRRRRR      VVVVVVVVVVVVVVVVVVVVV   BBBBB XXXX  ---- 00000000000000000000000000000000000000000000000000000000000               
      RRRRRRRRR   VVVVVVVVVVVVVVVVVVVV   BBBBBB      ---   OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO               
       RRRRRRRRRRVVVVVVVVVVVVVVVVVVVV   BBBBBBB            OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO               
       RRRRRRRRRRVVVVVVVVVVVVVVVVVVVVX BBBBBBBB         %OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO               
       X  RRRRRRRVVVVVVVVVVVVVVVVVVV  BBBBBBBBB        %OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO               
        X       VVVVVVVVVVVVVVVVVVV  BBBBBBBBBOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO               
         X      VVVVVVVVVVVVVVVVVV   BBBBBBBBBOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO               
          X     VVVVVVVVVVVVVVVVVX  BBBBBBBBBOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO/                        OOO                    
           X    VVVVVVVVVVVVVVVV  X BBBBBBBBB        OOO                                                      OOO                    
            X   VVVVVVVVVVVVVVV    BBBBBBBBB         OOO                                                      OOO                    
             X  VVVVVVVVVVVVV      BBBBBBBB          OOO                                                      OOO                    
              XXVVVVVVVVVVV        BBBBBBB           OOO                                                      OOO                    
                 VVVVVVV           BBBBB            OOO                                                      OOO                     
                                    BBB                                                                                              
1                        SSSSS   EEEEEEE  PPPPPP  TTTTTTT  EEEEEEE  M     M  BBBBBB   EEEEEEE  RRRRRR                               
        999             S     S  E        P     P    T     E        MM   MM  B     B  E        R     R                    666       
       9   9            S        E        P     P    T     E        M M M M  B     B  E        R     R                   6          
   1    9999             SSSSS   EEEEE    PPPPPP     T     EEEEE    M  M  M  BBBBBB   EEEEE    RRRRRR                    6666   999 
  11       9                  S  E        P          T     E        M     M  B     B  E        R   R                     6   6 9   9
   1    999             S     S  E        P          T     E        M     M  B     B  E        R    R                     666   9999
   1                     SSSSS   EEEEEEE  P          T     EEEEEEE  M     M  BBBBBB   EEEEEEE  R     R                             9
 11111                                                                                                                          999 
                                                                                                                                    
                                                                                                                                    
         SUNDAY            MONDAY            TUESDAY          WEDNESDAY         THURSDAY           FRIDAY           SATURDAY        
                                                                                                                                    
                     I                 I                 I                 I                 I                 I                    
                     I           1     I          222    I         33333   I            4    I         55555   I          666       
                     I          11     I         2   2   I             3   I           44    I         5       I         6          
                     I           1     I            2    I           33    I          4 4    I         5555    I         6666       
                     I           1     I          2      I         3   3   I         44444   I             5   I         6   6      
                     I         11111   I         22222   I          333    I            4    I         5555    I          666       
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
             77777   I          888    I          999    I    1     000    I    1      1     I    1     222    I    1    33333      
                 7   I         8   8   I         9   9   I   11    0   0   I   11     11     I   11    2   2   I   11        3      
                7    I          888    I          9999   I    1    0   0   I    1      1     I    1       2    I    1      33       
               7     I         8   8   I             9   I    1    0   0   I    1      1     I    1     2      I    1    3   3      
               7     I          888    I          999    I  11111   000    I  11111  11111   I  11111  22222   I  11111   333       
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
        1       4    I    1    55555   I    1     666    I    1    77777   I    1     888    I    1     999    I   222    000       
       11      44    I   11    5       I   11    6       I   11        7   I   11    8   8   I   11    9   9   I  2   2  0   0      
        1     4 4    I    1    5555    I    1    6666    I    1       7    I    1     888    I    1     9999   I     2   0   0      
        1    44444   I    1        5   I    1    6   6   I    1      7     I    1    8   8   I    1        9   I   2     0   0      
      11111     4    I  11111  5555    I  11111   666    I  11111    7     I  11111   888    I  11111   999    I  22222   000       
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
       222     1     I   222    222    I   222   33333   I   222      4    I   222   55555   I   222    666    I   222   77777      
      2   2   11     I  2   2  2   2   I  2   2      3   I  2   2    44    I  2   2  5       I  2   2  6       I  2   2      7      
         2     1     I     2      2    I     2     33    I     2    4 4    I     2   5555    I     2   6666    I     2      7       
       2       1     I   2      2      I   2     3   3   I   2     44444   I   2         5   I   2     6   6   I   2       7        
      22222  11111   I  22222  22222   I  22222   333    I  22222     4    I  22222  5555    I  22222   666    I  22222    7        
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
       222    888    I   222    999    I  33333   000    I                 I                 I                 I                    
      2   2  8   8   I  2   2  9   9   I      3  0   0   I                 I                 I                 I                    
         2    888    I     2    9999   I    33   0   0   I                 I                 I                 I                    
       2     8   8   I   2         9   I  3   3  0   0   I                 I                 I                 I                    
      22222   888    I  22222   999    I   333    000    I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
 -----------------------------------------------------------------------------------------------------------------------------------
1                                                                                                                                    
                                                      /----X      /----X                                                             
                                                     / ---- X    / /--X X                                                            
                                                    / /    X X  / /    X X                                                           
                                                   / /  /---X I-I IX   I I                                                           
                                                   I I /                                                                             
                                                   I I /OOOOI I-I IOX  I I                                                           
                                                   I I/OOOO/ /OOOX XOX / /                                                           
                                                   I X/OOO/ /O/---X X-X /                                                            
                                                    X X--/ /O/     X---/                                                             
                                                   /SX--/-XO/          X                                                             
                                                 /XSS/OOOOO/            X                                                            
                                                /  X/OOOOO/              X                                                           
                                               /    XOOOOI      //X   //X X                                                          
                                               I     XOOOI     //  X //  X X------&&&&---X                                           
                                               I      IOOI      %8<   %8<                 X                                          
                                               I  &   IO%/<                                X                                         
                                               I      IOOI                                  X                                        
                                               X     /OOOI                                   X                                       
                                                X   /OOOOI                                    X                                      
                                                 X-/OOOOOX                            X-X     <                                      
                                                  XOOOOOOOX                          %&&&<    <                                      
                                                   XOOOOOOOX                         %&&&<    <                                      
                                                    XOOOOOOOX--X                       X-X     <                                     
                                                     XOOOOOOOOOOX       ***                   <                                      
                                                      X---------X          *                  /                                      
                                                               XX           *                /                                       
                                                                 X           *--X           /                                        
                                                                  I       /***   X---------/                                         
                                        *#*#*#*-------*           I      /                                                           
                                         *I           I*-----*    I      I          --                                               
                                        *I           I*     I*#*<*#*#*#*<         <OO<                                               
                                         *I           I*   *#*   %OOOOOOO<      -  %OO<                                              
                                         *I           I-----**#*%*#*#*#*<&&&&&/ XX,&&&&&                                             
                                      *#*#*-----------*---*      I       I&&&--<      %   <                                          
                                                                /                      < %                                           
                                                               /                      < %                                            
                                                              /                  -    < %                                            
                                                             /*         /&&&I&&&&/ /&&/&&/                                           
                                                            /&&             I        XX                                              
                                                           /&&&             I /&&&<  XX                                              
                                                          /&&&             /&&&<  I  XX                                              
                                           -             /&&&&            /&&&&I  /  XX                                              
                                             -          /****             I    /  X  XX                                              
                                            - -       /***               X    X   < XX                                               
                                             -   - -  %           /&&&&&X X    <  I XX                                               
                                               - **** %          &       X     I  I XX                                               
                                                  - - -X                       I  I XX                                               
                                                        X                      I  I XX                                               
                                                         X                     I  I XX                                               
                                                          X      /&&&&&&&X     I&&</XX                                               
                                                           X&&&&/         X&&&&<  /XX/                                               
                                             XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX                                           
                                             XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX                                           
1                                   OOOOO    CCCCC   TTTTTTT   OOOOO   BBBBBB   EEEEEEE  RRRRRR                                     
        999                        O     O  C     C     T     O     O  B     B  E        R     R                          666       
       9   9                       O     O  C           T     O     O  B     B  E        R     R                         6          
   1    9999                       O     O  C           T     O     O  BBBBBB   EEEEE    RRRRRR                          6666   999 
  11       9                       O     O  C           T     O     O  B     B  E        R   R                           6   6 9   9
   1    999                        O     O  C     C     T     O     O  B     B  E        R    R                           666   9999
   1                                OOOOO    CCCCC      T      OOOOO   BBBBBB   EEEEEEE  R     R                                   9
 11111                                                                                                                          999 
                                                                                                                                    
                                                                                                                                    
         SUNDAY            MONDAY            TUESDAY          WEDNESDAY         THURSDAY           FRIDAY           SATURDAY        
                                                                                                                                    
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I           1     I          222    I         33333   I            4       
                     I                 I                 I          11     I         2   2   I             3   I           44       
                     I                 I                 I           1     I            2    I           33    I          4 4       
                     I                 I                 I           1     I          2      I         3   3   I         44444      
                     I                 I                 I         11111   I         22222   I          333    I            4       
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
             55555   I          666    I         77777   I          888    I          999    I    1     000    I    1      1        
             5       I         6       I             7   I         8   8   I         9   9   I   11    0   0   I   11     11        
             5555    I         6666    I            7    I          888    I          9999   I    1    0   0   I    1      1        
                 5   I         6   6   I           7     I         8   8   I             9   I    1    0   0   I    1      1        
             5555    I          666    I           7     I          888    I          999    I  11111   000    I  11111  11111      
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
        1     222    I    1    33333   I    1       4    I    1    55555   I    1     666    I    1    77777   I    1     888       
       11    2   2   I   11        3   I   11      44    I   11    5       I   11    6       I   11        7   I   11    8   8      
        1       2    I    1      33    I    1     4 4    I    1    5555    I    1    6666    I    1       7    I    1     888       
        1     2      I    1    3   3   I    1    44444   I    1        5   I    1    6   6   I    1      7     I    1    8   8      
      11111  22222   I  11111   333    I  11111     4    I  11111  5555    I  11111   666    I  11111    7     I  11111   888       
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
        1     999    I   222    000    I   222     1     I   222    222    I   222   33333   I   222      4    I   222   55555      
       11    9   9   I  2   2  0   0   I  2   2   11     I  2   2  2   2   I  2   2      3   I  2   2    44    I  2   2  5          
        1     9999   I     2   0   0   I     2     1     I     2      2    I     2     33    I     2    4 4    I     2   5555       
        1        9   I   2     0   0   I   2       1     I   2      2      I   2     3   3   I   2     44444   I   2         5      
      11111   999    I  22222   000    I  22222  11111   I  22222  22222   I  22222   333    I  22222     4    I  22222  5555       
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
       222    666    I   222   77777   I   222    888    I   222    999    I  33333   000    I  33333    1     I                    
      2   2  6       I  2   2      7   I  2   2  8   8   I  2   2  9   9   I      3  0   0   I      3   11     I                    
         2   6666    I     2      7    I     2    888    I     2    9999   I    33   0   0   I    33     1     I                    
       2     6   6   I   2       7     I   2     8   8   I   2         9   I  3   3  0   0   I  3   3    1     I                    
      22222   666    I  22222    7     I  22222   888    I  22222   999    I   333    000    I   333   11111   I                    
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
 -----------------------------------------------------------------------------------------------------------------------------------
1                                                                                                                                    
                                                                                  -XXXXXX-                                           
                                                                              XXXX        XX                                         
                                                        XXXXX                X               XX                                      
                                                      XX     XX             X                  XX                                    
                                                    XX         XXX         X                     XX                                  
                                                  XX          *-  XXX     X               ****     XX                                
                                                 XX         /***     XXXXX               ******      X                               
                                                XXX        -**                           *******      X                              
                                               XXX                                        *****       X                              
                                               XX                  /<                                 X                              
                                              XXX                  /                                  X                              
                                              XXX                 %/ X                                X                              
                                            XXX X                    -XX                             X                               
                                           XXXX X                      XXXXXXXXX                    X                                
                                          XXXX  X                            XXXXXXXX             XX                                 
                                         X XXX XX                          XX        XXXXXXXXXXXXX                                   
                                         XXXX X                          XX                                                          
                                       XXXXX  XX                       XX                                                            
                                       XXXXX X XX                     XX                                                             
                                      XXXXXX X   XX                  XXX                                                             
                                     XXXX XXX       X              XXXXXX                                                            
                                     XXXX XX          X           X  XXXXX                                                           
                                     XXXX XX           X         X   XXXXX                                                           
                                    XXX XXXX            X       X     XXXXXX                                                         
                                    XXX XXXX             X      X      XXXXXX                                                        
                                    XXXXXXX              X      X       XXXXX                                                        
                                    XXXXXXXX             X      X       XXXXX                                                        
                                     XXXXXXXX            I//////I        XXXXX                                                       
                                      XXXXXXX            I//////I        XXXXX                                                       
                                      XXXXXXXX           I//////I        XXXXX                                                       
                                       XXXXXXX           X      X        XXXXX                                                       
                                         XXXXX           X      X        XXXXX                                                       
                                                         X      X        XXXX                                                        
                                                         X      X        XXX                                                         
                                                         X      X                                                                    
                                                        X       X                                                                    
                                                       X         X                                                                   
                                                      XX         X                                                                   
                                                      X          X                                                                   
                                                     X           X                                                                   
                                                     X           X                                                                   
                                              XXXXXX X            X  XXXXXX                                                          
                                            XXX    XX             X XX     XX                                                        
                                           XX       XX             X        XX                                                       
                                           X          X           XX         X                                                       
                                          X           X           X           X                                                      
                                          X           X           X           X                                                      
                                           X          X           X           X                                                      
                                           X          X           X           X                                                      
                                            X         XX          X          X                                                       
                                            XX        X           X          X                                                       
                                  XXXXXXXX    X       XX   XX     X         X                                                        
                                 XX       XXXX X   XXXX    XX     X           XXXXXXX                                                
                               XX    XX       XXXXXX       XX      XX      X        XXX                                              
                               X    XX                     XX       X      XX     X    X                                             
                               X    X     X      X         XX        XX      X    X    X                                             
                               X   X      X     X          XX          X      XX   X   X                                             
                               XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX                                             
1                              N     N   OOOOO   V     V  EEEEEEE  M     M  BBBBBB   EEEEEEE  RRRRRR                                
        999                    NN    N  O     O  V     V  E        MM   MM  B     B  E        R     R                     666       
       9   9                   N N   N  O     O  V     V  E        M M M M  B     B  E        R     R                    6          
   1    9999                   N  N  N  O     O  V     V  EEEEE    M  M  M  BBBBBB   EEEEE    RRRRRR                     6666   999 
  11       9                   N   N N  O     O   V   V   E        M     M  B     B  E        R   R                      6   6 9   9
   1    999                    N    NN  O     O    V V    E        M     M  B     B  E        R    R                      666   9999
   1                           N     N   OOOOO      V     EEEEEEE  M     M  BBBBBB   EEEEEEE  R     R                              9
 11111                                                                                                                          999 
                                                                                                                                    
                                                                                                                                    
         SUNDAY            MONDAY            TUESDAY          WEDNESDAY         THURSDAY           FRIDAY           SATURDAY        
                                                                                                                                    
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I           1        
                     I                 I                 I                 I                 I                 I          11        
                     I                 I                 I                 I                 I                 I           1        
                     I                 I                 I                 I                 I                 I           1        
                     I                 I                 I                 I                 I                 I         11111      
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
              222    I         33333   I            4    I         55555   I          666    I         77777   I          888       
             2   2   I             3   I           44    I         5       I         6       I             7   I         8   8      
                2    I           33    I          4 4    I         5555    I         6666    I            7    I          888       
              2      I         3   3   I         44444   I             5   I         6   6   I           7     I         8   8      
             22222   I          333    I            4    I         5555    I          666    I           7     I          888       
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
              999    I    1     000    I    1      1     I    1     222    I    1    33333   I    1       4    I    1    55555      
             9   9   I   11    0   0   I   11     11     I   11    2   2   I   11        3   I   11      44    I   11    5          
              9999   I    1    0   0   I    1      1     I    1       2    I    1      33    I    1     4 4    I    1    5555       
                 9   I    1    0   0   I    1      1     I    1     2      I    1    3   3   I    1    44444   I    1        5      
              999    I  11111   000    I  11111  11111   I  11111  22222   I  11111   333    I  11111     4    I  11111  5555       
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
        1     666    I    1    77777   I    1     888    I    1     999    I   222    000    I   222     1     I   222    222       
       11    6       I   11        7   I   11    8   8   I   11    9   9   I  2   2  0   0   I  2   2   11     I  2   2  2   2      
        1    6666    I    1       7    I    1     888    I    1     9999   I     2   0   0   I     2     1     I     2      2       
        1    6   6   I    1      7     I    1    8   8   I    1        9   I   2     0   0   I   2       1     I   2      2         
      11111   666    I  11111    7     I  11111   888    I  11111   999    I  22222   000    I  22222  11111   I  22222  22222      
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
       222   33333   I   222      4    I   222   55555   I   222    666    I   222   77777   I   222    888    I   222    999       
      2   2      3   I  2   2    44    I  2   2  5       I  2   2  6       I  2   2      7   I  2   2  8   8   I  2   2  9   9      
         2     33    I     2    4 4    I     2   5555    I     2   6666    I     2      7    I     2    888    I     2    9999      
       2     3   3   I   2     44444   I   2         5   I   2     6   6   I   2       7     I   2     8   8   I   2         9      
      22222   333    I  22222     4    I  22222  5555    I  22222   666    I  22222    7     I  22222   888    I  22222   999       
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
      33333   000    I                 I                 I                 I                 I                 I                    
          3  0   0   I                 I                 I                 I                 I                 I                    
        33   0   0   I                 I                 I                 I                 I                 I                    
      3   3  0   0   I                 I                 I                 I                 I                 I                    
       333    000    I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
 -----------------------------------------------------------------------------------------------------------------------------------
1OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                                                           *********                                                 
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                                                       ****       ***                                                
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO       OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                                                     **              *                                               
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO              OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                                                  **   ***            *                                              
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO   OOO            OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                                  ***************   *     *            *                                             
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO   O     O            OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                               ***                  *     *             *                                            
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO                  O     O             OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                             **                    **    **             *                                            
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO                    OO    OO             OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                            *                      **    **              *                                           
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO                      OO    OO              OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                           *                                      ******  *                                          
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO                                      OOOOOO  OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                          *            ******                   ********* *                                          
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO            OOOOOO                   OOOOOOOOO OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                          *           ********                 **********  *                                         
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO           OOOOOOOO                 OOOOOOOOOO  OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                          *            *****                  ************ *                                         
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO            OOOOO                  OOOOOOOOOOOO OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                          *                                  ************* *                                         
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO                                  OOOOOOOOOOOOO OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                          *                            *     ************* *                                         
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO                            O     OOOOOOOOOOOOO OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                           *       *                  * *   ************** *                                         
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO       O                  O O   OOOOOOOOOOOOOO OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                            *     * *                *  *   ************** *                                         
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO     O O                O  O   OOOOOOOOOOOOOO OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                             **   *  ***           ** * *  *************** *                                         
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO   O  OOO           OO O O  OOOOOOOOOOOOOOO OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                               **** *   ************   **  **************  *                                         
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO O   OOOOOOOOOOOO   OO  OOOOOOOOOOOOOO  OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                                   ***  *    *  *   ***    ************** *                                          
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO  O    O  O   OOO    OOOOOOOOOOOOOO OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                                      ***************    *************** *                                           
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO    OOOOOOOOOOOOOOO OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                                              *        **  ************  *                                           
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO        OOOOOOOOOOOOOOOO  OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                                               *      *     ********** **                                            
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO      OOOOOOOOOOOOOOOO OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                                             **********      **********                                              
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                                             **********       ******                                                 
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                                           **        *                                                               
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO        OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                                          *           *                                                              
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO           OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                                        **       *     *                                                             
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO       O     OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                                       **        *     *                                                             
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO        O     OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                                      **        *       *                                                            
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO        O       OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                                     **         *    *  *                                                            
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO         O    O  OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                                     *         *     *   *                                                           
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO         O     O   OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                                    *          *     *   *                                                           
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO          O     O   OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                                    *          *     *   *                                                           
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO          O     O   OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                                    *          *    * **  *                                                          
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO          O    O OO  OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                                   *          *     **  * *                                                          
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO          O     OO  O OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                                   *          *     *   *  *                                                         
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO          O     O   O  OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                                   *          *       ***  *                                                         
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO          O       OOO  OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                                   *          *         *   *                                                        
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO          O         O   OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                                   *          *      * *    *                                                        
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO          O      O O    OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                                    *          *     **     *                                                        
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO          O     OO     OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                                    *           *****       *   **                                                   
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO           OOOOO       OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                                     *                     *   *  *                                                  
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO                     OOOOO  OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                                      **                  *****   *                                                  
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO                  OOOOO   OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                                        *                         *                                                  
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO                         OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                               ******    **                      *                                                   
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO                      OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                              *      ***  *   *********         *                                                    
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO      OOOOOO   OOOOOOOOO         OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                              *  *      * *   *      *         *                                                     
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO  O      OOO   OOOOOOOO         OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                               **  *     *    *     *     *   *                                                      
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO  O     O    OOOOOOO     O   OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                                ***           **    *  *  * **                                                       
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO           OOOOOOO  O  O OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                                  **            *   *  *  *                                                          
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO            OOOOO  O  OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                                    ***          *  *  ***                                                           
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO          OOOO  OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                                       ****      *   **                                                              
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO      OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                                           ******                                                                    
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                                  --------------------------------                                                   
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                 ---------------------------------------------------------------                                     
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                          -------------------------------------------------------------------                        
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                                           --------------------------------------------                              
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
1                              DDDDDD   EEEEEEE   CCCCC   EEEEEEE  M     M  BBBBBB   EEEEEEE  RRRRRR                                
        999                    D     D  E        C     C  E        MM   MM  B     B  E        R     R                     666       
       9   9                   D     D  E        C        E        M M M M  B     B  E        R     R                    6          
   1    9999                   D     D  EEEEE    C        EEEEE    M  M  M  BBBBBB   EEEEE    RRRRRR                     6666   999 
  11       9                   D     D  E        C        E        M     M  B     B  E        R   R                      6   6 9   9
   1    999                    D     D  E        C     C  E        M     M  B     B  E        R    R                      666   9999
   1                           DDDDDD   EEEEEEE   CCCCC   EEEEEEE  M     M  BBBBBB   EEEEEEE  R     R                              9
 11111                                                                                                                          999 
                                                                                                                                    
                                                                                                                                    
         SUNDAY            MONDAY            TUESDAY          WEDNESDAY         THURSDAY           FRIDAY           SATURDAY        
                                                                                                                                    
                     I                 I                 I                 I                 I                 I                    
                     I           1     I          222    I         33333   I            4    I         55555   I          666       
                     I          11     I         2   2   I             3   I           44    I         5       I         6          
                     I           1     I            2    I           33    I          4 4    I         5555    I         6666       
                     I           1     I          2      I         3   3   I         44444   I             5   I         6   6      
                     I         11111   I         22222   I          333    I            4    I         5555    I          666       
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
             77777   I          888    I          999    I    1     000    I    1      1     I    1     222    I    1    33333      
                 7   I         8   8   I         9   9   I   11    0   0   I   11     11     I   11    2   2   I   11        3      
                7    I          888    I          9999   I    1    0   0   I    1      1     I    1       2    I    1      33       
               7     I         8   8   I             9   I    1    0   0   I    1      1     I    1     2      I    1    3   3      
               7     I          888    I          999    I  11111   000    I  11111  11111   I  11111  22222   I  11111   333       
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
        1       4    I    1    55555   I    1     666    I    1    77777   I    1     888    I    1     999    I   222    000       
       11      44    I   11    5       I   11    6       I   11        7   I   11    8   8   I   11    9   9   I  2   2  0   0      
        1     4 4    I    1    5555    I    1    6666    I    1       7    I    1     888    I    1     9999   I     2   0   0      
        1    44444   I    1        5   I    1    6   6   I    1      7     I    1    8   8   I    1        9   I   2     0   0      
      11111     4    I  11111  5555    I  11111   666    I  11111    7     I  11111   888    I  11111   999    I  22222   000       
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
       222     1     I   222    222    I   222   33333   I   222      4    I   222   55555   I   222    666    I   222   77777      
      2   2   11     I  2   2  2   2   I  2   2      3   I  2   2    44    I  2   2  5       I  2   2  6       I  2   2      7      
         2     1     I     2      2    I     2     33    I     2    4 4    I     2   5555    I     2   6666    I     2      7       
       2       1     I   2      2      I   2     3   3   I   2     44444   I   2         5   I   2     6   6   I   2       7        
      22222  11111   I  22222  22222   I  22222   333    I  22222     4    I  22222  5555    I  22222   666    I  22222    7        
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
       222    888    I   222    999    I  33333   000    I  33333    1     I                 I                 I                    
      2   2  8   8   I  2   2  9   9   I      3  0   0   I      3   11     I                 I                 I                    
         2    888    I     2    9999   I    33   0   0   I    33     1     I                 I                 I                    
       2     8   8   I   2         9   I  3   3  0   0   I  3   3    1     I                 I                 I                    
      22222   888    I  22222   999    I   333    000    I   333   11111   I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
 -----------------------------------------------------------------------------------------------------------------------------------
1                                                                                                                                    
                                                          *******                                                                    
                                                     ****        ***                                                                 
                                                   **                *                                                               
                                                  **       *          *         *                                                    
                                                 *                     **   * *  *                                                   
                                                 *       *               * **     *                                                  
                                                *          **             *       *                                                  
                                                 *                       *        *                                                  
                                                **    *     ***    *    *         *                                                  
                                               * *   *  00 *    00  *  *          *                                                  
                                               **    *     *        * *           *                                                  
                                               *      *     **     *  *     **    *                                                  
                                              *                      *    *** *   *                                                  
                                              *         ***  **      *  *** * *   *                                                  
                                              *        ** ***  *    *  **  *  *  *                                                   
                                               *      ** ** *  *    *  *  *   *  *                                                   
                                                  *   ***   *      *   *   * *  *                                                    
                                                 ******     *      *  *   *  * *                                                     
                                                *           ******** *     * * *                                                     
                                               *           *XXXXXX***       ** *                                                     
                                              **           *XXXXXX* *        **                                                      
                                             *00*         *0000000* *        *                                                       
                                             *000*       *00000000* *        *                                                       
                                             *000X*******XXXXXXXX*  *      *0                                                        
                                             *0000XXXXXXXXXXXXXXX* * **  **0                                                         
                                              **00000000000000000* *   *000*                                                         
                                                *0000000000000000* *   *000*                                                         
                                                *0000000000000000* *    *0*                                                          
                                                *XXXXXXXXXXXXXXXX* *    *X*                                                          
                                                *XXXXXXXXXXXXXXX*  *    *X*                                                          
                                               *000000000000000*  *    *0*                                                           
                                              *00000000000000000*  *    *0*      **                                                  
                                             *XXXXXXXXXXXXXXXXXX*  *    *X*    *   *                                                 
                                             *XXXXXXXXXXXXXXXXXX*  *    *XX*  *    *                                                 
                                             *##################*  *    *##* *    *                                                  
                                             *###################* *    *#* *     *                                                  
                                             *###################*  *   *#**  *   *                                                  
                                             *********************   *   **  **   *   *****                                          
                                                    *       * *   *  *      **   * ***     *                                         
                                                    *       * *   *   *    * *   **       *   ***                                    
                                                    ********* ******   *  *  *           *****  *****                                
                                                    *       * *     *  *  *  *                       *                               
                                             *************************  **  *                        *                               
                                           **           **            *  *       ***              ***                                
                                         **           **               **********  ***************                                   
                                        **********************************                                                           
                                                                                                                                     
                                                                                                                                     
                                                  SECURITY IS A WARM BLANKET                                                         
1                                  JJJJJJJ   AAAAA   N     N  U     U   AAAAA   RRRRRR   Y     Y                                    
        999                           J     A     A  NN    N  U     U  A     A  R     R   Y   Y                          77777      
       9   9                          J     A     A  N N   N  U     U  A     A  R     R    Y Y                               7      
   1    9999                          J     AAAAAAA  N  N  N  U     U  AAAAAAA  RRRRRR      Y                               7   000 
  11       9                          J     A     A  N   N N  U     U  A     A  R   R       Y                              7   0   0
   1    999                        J  J     A     A  N    NN  U     U  A     A  R    R      Y                              7   0   0
   1                                JJ      A     A  N     N   UUUUU   A     A  R     R     Y                                  0   0
 11111                                                                                                                          000 
                                                                                                                                    
                                                                                                                                    
         SUNDAY            MONDAY            TUESDAY          WEDNESDAY         THURSDAY           FRIDAY           SATURDAY        
                                                                                                                                    
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I           1     I          222    I         33333      
                     I                 I                 I                 I          11     I         2   2   I             3      
                     I                 I                 I                 I           1     I            2    I           33       
                     I                 I                 I                 I           1     I          2      I         3   3      
                     I                 I                 I                 I         11111   I         22222   I          333       
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
                4    I         55555   I          666    I         77777   I          888    I          999    I    1     000       
               44    I         5       I         6       I             7   I         8   8   I         9   9   I   11    0   0      
              4 4    I         5555    I         6666    I            7    I          888    I          9999   I    1    0   0      
             44444   I             5   I         6   6   I           7     I         8   8   I             9   I    1    0   0      
                4    I         5555    I          666    I           7     I          888    I          999    I  11111   000       
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
        1      1     I    1     222    I    1    33333   I    1       4    I    1    55555   I    1     666    I    1    77777      
       11     11     I   11    2   2   I   11        3   I   11      44    I   11    5       I   11    6       I   11        7      
        1      1     I    1       2    I    1      33    I    1     4 4    I    1    5555    I    1    6666    I    1       7       
        1      1     I    1     2      I    1    3   3   I    1    44444   I    1        5   I    1    6   6   I    1      7        
      11111  11111   I  11111  22222   I  11111   333    I  11111     4    I  11111  5555    I  11111   666    I  11111    7        
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
        1     888    I    1     999    I   222    000    I   222     1     I   222    222    I   222   33333   I   222      4       
       11    8   8   I   11    9   9   I  2   2  0   0   I  2   2   11     I  2   2  2   2   I  2   2      3   I  2   2    44       
        1     888    I    1     9999   I     2   0   0   I     2     1     I     2      2    I     2     33    I     2    4 4       
        1    8   8   I    1        9   I   2     0   0   I   2       1     I   2      2      I   2     3   3   I   2     44444      
      11111   888    I  11111   999    I  22222   000    I  22222  11111   I  22222  22222   I  22222   333    I  22222     4       
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
       222   55555   I   222    666    I   222   77777   I   222    888    I   222    999    I  33333   000    I  33333    1        
      2   2  5       I  2   2  6       I  2   2      7   I  2   2  8   8   I  2   2  9   9   I      3  0   0   I      3   11        
         2   5555    I     2   6666    I     2      7    I     2    888    I     2    9999   I    33   0   0   I    33     1        
       2         5   I   2     6   6   I   2       7     I   2     8   8   I   2         9   I  3   3  0   0   I  3   3    1        
      22222  5555    I  22222   666    I  22222    7     I  22222   888    I  22222   999    I   333    000    I   333   11111      
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
 -----------------------------------------------------------------------------------------------------------------------------------
rc= 0
** dist/snsimp.f

 Ritz values (Real, Imag) and residual residuals
 
               col   1       col   2       col   3       
  row   1:    7.16200e+02   1.02959e+03   3.05952e-06
  row   2:    7.16200e+02  -1.02959e+03   3.05952e-06
  row   3:    6.87586e+02   1.02959e+03   3.16334e-06
  row   4:    6.87586e+02  -1.02959e+03   3.16334e-06
  
 
 _NSIMP 
 ====== 
 
 Size of the matrix is 100
 The number of Ritz values requested is 4
 The number of Arnoldi vectors generated (NCV) is 20
 What portion of the spectrum: LM
 The number of converged Ritz values is 4
 The number of Implicit Arnoldi update iterations taken is 12
 The number of OP*x is 190
 The convergence criterion is  5.960464e-08
 
rc= 0
** dist/spfunchk.f


 Test of single precision Fullerton intrinsic routines
 Single precision Fullerton intrinsic function routines o.k.


 Test of double precision Fullerton intrinsic routines
 Double precision Fullerton intrinsic function routines o.k.


 Test of complex Fullerton intrinsic routines
 Complex Fullerton intrinsic function routines o.k.

 --------------TESTI PASSED ALL TESTS----------------
rc= 0
** dist/toms743.f
10000000 upper branch trials, max dev =  8.881784197001252e-16 at x =  1.651679165658419e+01
10000000 lower branch trials, max dev =  3.330669073875470e-15 at x =  2.209086117545014e-04
rc= 0
** dist/vector.f
Maxtrix
 1.100000e+01 1.200000e+01 1.300000e+01
 2.100000e+01 2.200000e+01 2.300000e+01
 3.100000e+01 3.200000e+01 3.300000e+01
Column vectors
 1.100000e+01 2.100000e+01 3.100000e+01
 1.200000e+01 2.200000e+01 3.200000e+01
 1.300000e+01 2.300000e+01 3.300000e+01
Maxtrix
 1.100000e+01 1.200000e+01 1.300000e+01
 2.100000e+01 2.200000e+01 2.300000e+01
 3.100000e+01 3.200000e+01 3.300000e+01
Column vectors
 1.100000e+01 2.100000e+01 3.100000e+01
 1.200000e+01 2.200000e+01 3.200000e+01
 1.300000e+01 2.300000e+01 3.300000e+01
rc= 0
** dist/wapr.f
 0.000000000000000e+00
-1.000000000000000e+00
 1.000000000000000e+00
 2.718281828459045e+00
 2.276558228619568e+00
rc= 0
** dist/whetd.f
       0       0       0   1.0000e+00  -1.0000e+00  -1.0000e+00  -1.0000e+00
     120     140     120  -6.8342e-02  -4.6264e-01  -7.2972e-01  -1.1240e+00
     140     120     120  -5.5336e-02  -4.4744e-01  -7.1097e-01  -1.1031e+00
    3450       1       1   1.0000e+00  -1.0000e+00  -1.0000e+00  -1.0000e+00
    2100       1       2   6.0000e+00   6.0000e+00  -7.1097e-01  -1.1031e+00
     320       1       2   4.9041e-01   4.9041e-01   4.9039e-01   4.9039e-01
    8990       1       2   1.0000e+00   1.0000e+00   9.9994e-01   9.9994e-01
    6160       1       2   3.0000e+00   2.0000e+00   3.0000e+00  -1.1031e+00
       0       2       3   1.0000e+00  -1.0000e+00  -1.0000e+00  -1.0000e+00
     930       2       3   8.3467e-01   8.3467e-01   8.3467e-01   8.3467e-01
    6407.0 mwhets
rc= 0
** dist/whetq.f
       0       0       0   1.0000e+00  -1.0000e+00  -1.0000e+00  -1.0000e+00
     120     140     120  -6.8342e-02  -4.6264e-01  -7.2972e-01  -1.1240e+00
     140     120     120  -5.5336e-02  -4.4744e-01  -7.1097e-01  -1.1031e+00
    3450       1       1   1.0000e+00  -1.0000e+00  -1.0000e+00  -1.0000e+00
    2100       1       2   6.0000e+00   6.0000e+00  -7.1097e-01  -1.1031e+00
     320       1       2   4.9041e-01   4.9041e-01   4.9039e-01   4.9039e-01
    8990       1       2   1.0000e+00   1.0000e+00   9.9994e-01   9.9994e-01
    6160       1       2   3.0000e+00   2.0000e+00   3.0000e+00  -1.1031e+00
       0       2       3   1.0000e+00  -1.0000e+00  -1.0000e+00  -1.0000e+00
     930       2       3   8.3467e-01   8.3467e-01   8.3467e-01   8.3467e-01
     158.9 mwhets
rc= 0
** dist/whets.f
       0       0       0   1.0000e+00  -1.0000e+00  -1.0000e+00  -1.0000e+00
     120     140     120  -6.8342e-02  -4.6264e-01  -7.2972e-01  -1.1240e+00
     140     120     120  -5.5331e-02  -4.4743e-01  -7.1097e-01  -1.1031e+00
    3450       1       1   1.0000e+00  -1.0000e+00  -1.0000e+00  -1.0000e+00
    2100       1       2   6.0000e+00   6.0000e+00  -7.1097e-01  -1.1031e+00
     320       1       2   4.9041e-01   4.9041e-01   4.9039e-01   4.9039e-01
    8990       1       2   1.0000e+00   1.0000e+00   9.9994e-01   9.9994e-01
    6160       1       2   3.0000e+00   2.0000e+00   3.0000e+00  -1.1031e+00
       0       2       3   1.0000e+00  -1.0000e+00  -1.0000e+00  -1.0000e+00
     930       2       3   8.3466e-01   8.3466e-01   8.3466e-01   8.3466e-01
    7501.9 mwhets
rc= 0
** dist/whetx.f
       0       0       0   1.0000e+00  -1.0000e+00  -1.0000e+00  -1.0000e+00
     120     140     120  -6.8342e-02  -4.6264e-01  -7.2972e-01  -1.1240e+00
     140     120     120  -5.5335e-02  -4.4743e-01  -7.1097e-01  -1.1031e+00
    3450       1       1   1.0000e+00  -1.0000e+00  -1.0000e+00  -1.0000e+00
    2100       1       2   6.0000e+00   6.0000e+00  -7.1097e-01  -1.1031e+00
     320       1       2   4.9041e-01   4.9041e-01   4.9039e-01   4.9039e-01
    8990       1       2   1.0000e+00   1.0000e+00   9.9994e-01   9.9994e-01
    6160       1       2   3.0000e+00   2.0000e+00   3.0000e+00  -1.1031e+00
       0       2       3   1.0000e+00  -1.0000e+00  -1.0000e+00  -1.0000e+00
     930       2       3   8.3466e-01   8.3466e-01   8.3466e-01   8.3466e-01
       3.2 mwhets
rc= 0
** dist/xmach.f
1  3.3621031431120935062626778173217526025980793448464712401088272298088533e-4932
2  1.1897314953572317650857593266280071307634446870965102374726748212332616e+4932
3  1.1319598848533390459386399113609739725853163997673922736978268612419382e-72
4  2.2639197697066780918772798227219479451706327995347845473956537224838764e-72
5  3.0102999566398119521373889472449302676818988146210854131042746112710819e-01
rc= 0
** dist/zblat1.f
 complex blas test program results
 

 test of subprogram number  1            zdotc 
                                    ----- pass -----

 test of subprogram number  2            zdotu 
                                    ----- pass -----

 test of subprogram number  3            zaxpy 
                                    ----- pass -----

 test of subprogram number  4            zcopy 
                                    ----- pass -----

 test of subprogram number  5            zswap 
                                    ----- pass -----

 test of subprogram number  6            dznrm2
                                    ----- pass -----

 test of subprogram number  7            dzasum
                                    ----- pass -----

 test of subprogram number  8            zscal 
                                    ----- pass -----

 test of subprogram number  9            zdscal
                                    ----- pass -----

 test of subprogram number 10            izamax
                                    ----- pass -----
rc= 0
** dist/zeroin.f
0  1.570796326794897e+00
0 -1.570796326794897e+00
0  1.414213562373095e+00
1 -1.000000000000000e+00
rc= 0
** dist/znsimp.f

 Ritz values (Real, Imag) and relative residuals
 
               col   1       col   2       col   3       
  row   1:    7.16197e+02   1.02958e+03   1.23806e-14
  row   2:    7.16197e+02  -1.02958e+03   1.08476e-14
  row   3:    6.87583e+02   1.02958e+03   1.05338e-14
  row   4:    6.87583e+02  -1.02958e+03   8.46739e-15
  
 
_NSIMP 
====== 
 
 Size of the matrix is 100
 The number of Ritz values requested is 4
 The number of Arnoldi vectors generated (NCV) is 20
 What portion of the spectrum: LM
 The number of converged Ritz values is 4
 The number of Implicit Arnoldi update iterations taken is 25
 The number of OP*x is 392
 The convergence criterion is  1.110223024625157e-16
 
rc= 0
** eispack/eispack-test.f

EISPACK_TEST
  FORTRAN77 version.
  Test the EISPACK library.

BALANC_TEST
  BALANC balances a real general matrix.
  Matrix order =        5

  The matrix A:

  Col         1             2             3             4             5       
  Row

    1   1.100000e+02  1.200000e+01  1.300000e+01  0.000000e+00  1.500000e+01
    2   0.000000e+00  2.200000e+01  0.000000e+00  0.000000e+00  0.000000e+00
    3   3.100000e+02  3.200000e+01  3.300000e+01  0.000000e+00  3.500000e+01
    4   0.000000e+00  0.000000e+00  4.300000e+01  4.400000e+01  0.000000e+00
    5   5.100000e+02  0.000000e+00  5.300000e+01  0.000000e+00  5.500000e+01

  LOW =    2
  IGH =    4

  Scaling vector SCALE:

         1    4.00000000e+00
         2    1.00000000e+00
         3    1.00000000e+00
         4    6.25000000e-02
         5    2.00000000e+00

  The balanced matrix A:

  Col         1             2             3             4             5       
  Row

    1   4.400000e+01  0.000000e+00  4.300000e+01  0.000000e+00  0.000000e+00
    2   0.000000e+00  5.500000e+01  5.300000e+01  3.187500e+01  0.000000e+00
    3   0.000000e+00  3.500000e+01  3.300000e+01  1.937500e+01  3.200000e+01
    4   0.000000e+00  2.400000e+02  2.080000e+02  1.100000e+02  1.920000e+02
    5   0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  2.200000e+01

BANDV_TEST
  BANDV computes the eigenvectors
  of a real symmetric band matrix.
  Matrix order =        5
  Half bandwidth + 1 =        2

  The matrix A:

  Col         1             2             3             4             5       
  Row

    1   2.000000e+00 -1.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
    2  -1.000000e+00  2.000000e+00 -1.000000e+00  0.000000e+00  0.000000e+00
    3   0.000000e+00 -1.000000e+00  2.000000e+00 -1.000000e+00  0.000000e+00
    4   0.000000e+00  0.000000e+00 -1.000000e+00  2.000000e+00 -1.000000e+00
    5   0.000000e+00  0.000000e+00  0.000000e+00 -1.000000e+00  2.000000e+00

BANDV_TEST - Warning!
  RSB error return flag IERR =        1

BISECT_TEST
  BISECT computes some eigenvalues of 
  a real symmetric tridiagonal matrix.
  Matrix order =        5

  The matrix A:

  Col         1             2             3             4             5       
  Row

    1   2.000000e+00 -1.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
    2  -1.000000e+00  2.000000e+00 -1.000000e+00  0.000000e+00  0.000000e+00
    3   0.000000e+00 -1.000000e+00  2.000000e+00 -1.000000e+00  0.000000e+00
    4   0.000000e+00  0.000000e+00 -1.000000e+00  2.000000e+00 -1.000000e+00
    5   0.000000e+00  0.000000e+00  0.000000e+00 -1.000000e+00  2.000000e+00

  The eigenvalues Lambda:

         1    2.67949192e-01
         2    1.00000000e+00
         3    2.00000000e+00
         4    3.00000000e+00
         5    3.73205081e+00

BQR_TEST
  BQR computes some eigenvalues
  of a real symmetric band matrix.
  Matrix order =        5
  Half bandwidth+1 =        2

  The compressed matrix A:

  Col         1             2       
  Row

    1   0.000000e+00  2.000000e+00
    2  -1.000000e+00  2.000000e+00
    3  -1.000000e+00  2.000000e+00
    4  -1.000000e+00  2.000000e+00
    5  -1.000000e+00  2.000000e+00

  Eigenvalues:

1 2.679491924311228e-01
2 1.000000000000001e+00
3 2.000000000000001e+00
4 3.000000000000000e+00
5 3.732050807568879e+00

CBAL_TEST
  CBAL balances a complex general matrix.
  Matrix order =        5

  The matrix AR:

  Col         1             2             3             4             5       
  Row

    1   1.100000e+02  1.200000e+01  1.300000e+01  0.000000e+00  1.500000e+01
    2   0.000000e+00  2.200000e+01  0.000000e+00  0.000000e+00  0.000000e+00
    3   3.100000e+02  3.200000e+01  3.300000e+01  0.000000e+00  3.500000e+01
    4   0.000000e+00  0.000000e+00  4.300000e+01  4.400000e+01  0.000000e+00
    5   5.100000e+02  0.000000e+00  5.300000e+01  0.000000e+00  5.500000e+01

  The matrix AI:

  Col         1             2             3             4             5       
  Row

    1   1.105000e+02  1.250000e+01  1.350000e+01  0.000000e+00  1.550000e+01
    2   0.000000e+00  2.250000e+01  0.000000e+00  0.000000e+00  0.000000e+00
    3   3.105000e+02  3.250000e+01  3.350000e+01  0.000000e+00  3.550000e+01
    4   0.000000e+00  0.000000e+00  4.350000e+01  4.450000e+01  0.000000e+00
    5   5.105000e+02  0.000000e+00  5.350000e+01  0.000000e+00  5.550000e+01

  LOW =    2
  IGH =    4

  Scaling vector SCALE:

         1    4.00000000e+00
         2    1.00000000e+00
         3    1.00000000e+00
         4    6.25000000e-02
         5    2.00000000e+00

  The balanced matrix AR:

  Col         1             2             3             4             5       
  Row

    1   4.400000e+01  0.000000e+00  4.300000e+01  0.000000e+00  0.000000e+00
    2   0.000000e+00  5.500000e+01  5.300000e+01  3.187500e+01  0.000000e+00
    3   0.000000e+00  3.500000e+01  3.300000e+01  1.937500e+01  3.200000e+01
    4   0.000000e+00  2.400000e+02  2.080000e+02  1.100000e+02  1.920000e+02
    5   0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  2.200000e+01

  The balanced matrix AI:

  Col         1             2             3             4             5       
  Row

    1   4.450000e+01  0.000000e+00  4.350000e+01  0.000000e+00  0.000000e+00
    2   0.000000e+00  5.550000e+01  5.350000e+01  3.190625e+01  0.000000e+00
    3   0.000000e+00  3.550000e+01  3.350000e+01  1.940625e+01  3.250000e+01
    4   0.000000e+00  2.480000e+02  2.160000e+02  1.105000e+02  2.000000e+02
    5   0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  2.250000e+01

CGLR_TEST
  CGLR computes the eigenvalues and
  eigenvectors of a complex general matrix
  using elementary transformations.
  Matrix order =        4

  Real and imaginary parts of eigenvalues:

         1    4.828427e+00    0.000000e+00
         2    4.000000e+00    0.000000e+00
         3    2.954505e-17    0.000000e+00
         4   -8.284271e-01    0.000000e+00

CGLR_TEST
  CGLR computes the eigenvalues and
  eigenvectors of a complex general matrix
  using elementary transformations.
  Matrix order =        4

  Real and imaginary parts of eigenvalues:

         1    4.828427e+00    0.000000e+00
         2    4.000000e+00    0.000000e+00
         3    2.954505e-17    0.000000e+00
         4   -8.284271e-01    0.000000e+00

  Eigenvector        1

  4.828427e+00  0.000000e+00
 -4.361302e-01  0.000000e+00
  0.000000e+00 -5.732233e-01
  0.000000e+00  1.767767e-01

  Eigenvector        2

  0.000000e+00  1.914214e+00
  0.000000e+00  3.270977e-01
 -1.433058e-01  0.000000e+00
 -1.950825e-01  0.000000e+00

  Eigenvector        3

  0.000000e+00  0.000000e+00
  0.000000e+00  0.000000e+00
  0.000000e+00  0.000000e+00
  0.000000e+00  0.000000e+00

  Eigenvector        4

  4.828427e+00  2.000000e+00
 -4.361302e-01  4.361302e-01
  5.732233e-01 -5.732233e-01
  4.267767e-01  1.767767e-01

CGQR_TEST
  CGQR computes the eigenvalues and
  eigenvectors of a complex general matrix
  using unitary transformations.
  Matrix order =        4

Warning!
  The error return flag IERR =        4

  Real and imaginary parts of eigenvalues:

         1  -2.696540e+308  -2.696540e+308
         2  -2.696540e+308  -2.696540e+308
         3  -2.696540e+308  -2.696540e+308
         4    0.000000e+00    0.000000e+00

CGQR_TEST
  CGQR computes the eigenvalues and
  eigenvectors of a complex general matrix
  using unitary transformations.
  Matrix order =        4

Warning!
  The error return flag IERR =        4

  Real and imaginary parts of eigenvalues:

         1  -2.696540e+308  -2.696540e+308
         2  -2.696540e+308  -2.696540e+308
         3  -2.696540e+308  -2.696540e+308
         4    0.000000e+00    0.000000e+00

  Eigenvector        1

-2.696540e+308-2.696540e+308
-2.696540e+308-2.696540e+308
-2.696540e+308-2.696540e+308
-2.696540e+308-2.696540e+308

  Eigenvector        2

-2.696540e+308-2.696540e+308
-2.696540e+308-2.696540e+308
-2.696540e+308-2.696540e+308
-2.696540e+308-2.696540e+308

  Eigenvector        3

-2.696540e+308-2.696540e+308
-2.696540e+308-2.696540e+308
-2.696540e+308-2.696540e+308
-2.696540e+308-2.696540e+308

  Eigenvector        4

-2.696540e+308-2.696540e+308
-2.696540e+308-2.696540e+308
-2.696540e+308-2.696540e+308
-2.696540e+308-2.696540e+308

CH_TEST
  CH computes the eigenvalues and
  eigenvectors of a complex hermitian matrix.
  Matrix order =        4

Warning!
  The error return flag IERR =        1

  The eigenvalues Lambda:

         1   2.69653970e+308
         2   2.69653970e+308
         3   2.69653970e+308
         4   2.69653970e+308

CH_TEST
  CH computes the eigenvalues and
  eigenvectors of a complex hermitian matrix.
  Matrix order =        4

  The eigenvalues Lambda:

         1  -2.69653970e+308
         2  -2.69653970e+308
         3  -2.69653970e+308
         4   2.69653970e+308

  Eigenvector        1

-2.696540e+308 2.696540e+308
-2.696540e+308 2.696540e+308
-2.696540e+308 2.696540e+308
-2.696540e+308 2.696540e+308

  Eigenvector        2

-2.696540e+308 2.696540e+308
-2.696540e+308 2.696540e+308
-2.696540e+308 2.696540e+308
-2.696540e+308 2.696540e+308

  Eigenvector        3

-2.696540e+308 2.696540e+308
-2.696540e+308 2.696540e+308
-2.696540e+308 2.696540e+308
-2.696540e+308 2.696540e+308

  Eigenvector        4

-2.696540e+308 2.696540e+308
-2.696540e+308 2.696540e+308
-2.696540e+308 2.696540e+308
-2.696540e+308 2.696540e+308

CH3_TEST
  CH3 computes the eigenvalues and
  eigenvectors of a complex hermitian matrix.
  Matrix order =        4

Warning!
  The error return flag IERR =        1

  The eigenvalues Lambda:

         1   2.69653970e+308
         2   2.69653970e+308
         3   2.69653970e+308
         4   2.69653970e+308

CH3_TEST
  CH3 computes the eigenvalues and
  eigenvectors of a complex hermitian matrix.
  Matrix order =        4

  The eigenvalues Lambda:

         1  -2.69653970e+308
         2  -2.69653970e+308
         3  -2.69653970e+308
         4   2.69653970e+308

  Eigenvector        1

-2.696540e+308 2.696540e+308
-2.696540e+308 2.696540e+308
-2.696540e+308 2.696540e+308
-2.696540e+308 2.696540e+308

  Eigenvector        2

-2.696540e+308 2.696540e+308
-2.696540e+308 2.696540e+308
-2.696540e+308 2.696540e+308
-2.696540e+308 2.696540e+308

  Eigenvector        3

-2.696540e+308 2.696540e+308
-2.696540e+308 2.696540e+308
-2.696540e+308 2.696540e+308
-2.696540e+308 2.696540e+308

  Eigenvector        4

-2.696540e+308 2.696540e+308
-2.696540e+308 2.696540e+308
-2.696540e+308 2.696540e+308
-2.696540e+308 2.696540e+308

CINVIT_TEST
  CINVIT computes the eigenvectors of 
  a complex Hessenberg matrix.
  Matrix order =        4

CINVIT_TEST - Warning!
  COMQR returned flag IERR = 
   

IMTQLV_TEST
  IMTQLV computes the eigenvalues of a real
  symmetric tridiagonal matrix.
  Matrix order =        5

  The matrix A:

  Col         1             2             3             4             5       
  Row

    1   2.000000e+00 -1.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
    2  -1.000000e+00  2.000000e+00 -1.000000e+00  0.000000e+00  0.000000e+00
    3   0.000000e+00 -1.000000e+00  2.000000e+00 -1.000000e+00  0.000000e+00
    4   0.000000e+00  0.000000e+00 -1.000000e+00  2.000000e+00 -1.000000e+00
    5   0.000000e+00  0.000000e+00  0.000000e+00 -1.000000e+00  2.000000e+00

IMTQLV_TEST - Warning!
  The error return flag IERR =        1

MINFIT_TEST
  MINFIT solves an overdetermined linear system
  using least squares methods.
  Matrix rows =        5
  Matrix columns =        2

  The matrix A:

  Col         1             2       
  Row

    1   1.000000e+00  1.000000e+00
    2   2.050000e+00 -1.000000e+00
    3   3.060000e+00  1.000000e+00
    4  -1.020000e+00  2.000000e+00
    5   4.080000e+00 -1.000000e+00

  The right hand side B:

  Col         1       
  Row

    1   1.980000e+00
    2   9.500000e-01
    3   3.980000e+00
    4   9.200000e-01
    5   2.900000e+00

  MINFIT error code IERR =        0

  The singular values:

         1    0.00000000e+00
         2    0.00000000e+00

  The least squares solution X:

         1  -2.69653970e+308
         2  -2.69653970e+308

  The residual A * X - B:

         1  -2.69653970e+308
         2  -2.69653970e+308
         3  -2.69653970e+308
         4  -2.69653970e+308
         5  -2.69653970e+308

RGELM_TEST
  RGELM computes the eigenvalues and eigenvectors of
  a real general matrix,
  using elementary transforms.
  Matrix order =        3

  The matrix A:

  Col         1             2             3       
  Row

    1   3.300000e+01  1.600000e+01  7.200000e+01
    2  -2.400000e+01 -1.000000e+01 -5.700000e+01
    3  -8.000000e+00 -4.000000e+00 -1.700000e+01

  Real and imaginary parts of eigenvalues:

         1    3.000000e+00    0.000000e+00
         2    1.000000e+00    0.000000e+00
         3    2.000000e+00    0.000000e+00

RGELM_TEST
  RGELM computes the eigenvalues and eigenvectors of
  a real general matrix,
  using elementary transforms.
  Matrix order =        3

  The matrix A:

  Col         1             2             3       
  Row

    1   3.300000e+01  1.600000e+01  7.200000e+01
    2  -2.400000e+01 -1.000000e+01 -5.700000e+01
    3  -8.000000e+00 -4.000000e+00 -1.700000e+01

  Real and imaginary parts of eigenvalues:

         1    3.000000e+00    0.000000e+00
         2    1.000000e+00    0.000000e+00
         3    2.000000e+00    0.000000e+00

  Eigenvector:

         1    1.000000e+00    0.000000e+00
         2    0.000000e+00    0.000000e+00
         3    1.000000e+00    0.000000e+00

  Eigenvector:

         1   -1.000000e+00    0.000000e+00
         2    0.000000e+00    0.000000e+00
         3   -1.000000e+00    0.000000e+00

  Eigenvector:

         1    9.795918e-01    0.000000e+00
         2    6.802721e-03    0.000000e+00
         3    1.000000e+00    0.000000e+00

  Residuals (A*x-Lambda*x) for eigenvalue        1

  1.020000e+02  0.000000e+00
 -8.100000e+01  0.000000e+00
 -2.800000e+01  0.000000e+00

  Residuals (A*x-Lambda*x) for eigenvalue        2

 -1.040000e+02  0.000000e+00
  8.100000e+01  0.000000e+00
  2.600000e+01  0.000000e+00

  Residuals (A*x-Lambda*x) for eigenvalue        3

  1.024762e+02  0.000000e+00
 -8.059184e+01  0.000000e+00
 -2.686395e+01  0.000000e+00

RGORT_TEST
  RGORT computes the eigenvalues and eigenvectors of
  a real general matrix,
  using orthogonal transforms.
  Matrix order =        3

  The matrix A:

  Col         1             2             3       
  Row

    1   3.300000e+01  1.600000e+01  7.200000e+01
    2  -2.400000e+01 -1.000000e+01 -5.700000e+01
    3  -8.000000e+00 -4.000000e+00 -1.700000e+01

  Real and imaginary parts of eigenvalues:

         1    3.000000e+00    0.000000e+00
         2    1.000000e+00    0.000000e+00
         3    2.000000e+00    0.000000e+00

RGORT_TEST
  RGORT computes the eigenvalues and eigenvectors of
  a real general matrix,
  using orthogonal transforms.
  Matrix order =        3

  The matrix A:

  Col         1             2             3       
  Row

    1   3.300000e+01  1.600000e+01  7.200000e+01
    2  -2.400000e+01 -1.000000e+01 -5.700000e+01
    3  -8.000000e+00 -4.000000e+00 -1.700000e+01

  Real and imaginary parts of eigenvalues:

         1    3.000000e+00    0.000000e+00
         2    1.000000e+00    0.000000e+00
         3    2.000000e+00    0.000000e+00

  Eigenvector:

         1    1.000000e+00    0.000000e+00
         2   -7.500000e-01    0.000000e+00
         3   -2.500000e-01    0.000000e+00

  Eigenvector:

         1    1.000000e+00    0.000000e+00
         2   -8.000000e-01    0.000000e+00
         3   -2.666667e-01    0.000000e+00

  Eigenvector:

         1    1.000000e+00    0.000000e+00
         2   -8.125000e-01    0.000000e+00
         3   -2.500000e-01    0.000000e+00

  Residuals (A*x-Lambda*x) for eigenvalue        1

  3.552714e-15  0.000000e+00
 -1.110223e-14  0.000000e+00
 -4.218847e-15  0.000000e+00

  Residuals (A*x-Lambda*x) for eigenvalue        2

 -3.552714e-15  0.000000e+00
 -9.658940e-15  0.000000e+00
 -2.331468e-15  0.000000e+00

  Residuals (A*x-Lambda*x) for eigenvalue        3

  5.329071e-15  0.000000e+00
 -1.176836e-14  0.000000e+00
 -3.663736e-15  0.000000e+00

RGG_TEST:
  RGG for real generalized problem.
  Find scalars LAMBDA and vectors x so that
    A*x = LAMBDA * B * x
  Matrix order =        4

  The matrix A:

  Col         1             2             3             4       
  Row

    1  -7.000000e+00  7.000000e+00  6.000000e+00  6.000000e+00
    2  -1.000000e+01  8.000000e+00  1.000000e+01  8.000000e+00
    3  -8.000000e+00  3.000000e+00  1.000000e+01  1.100000e+01
    4  -4.000000e+00  0.000000e+00  4.000000e+00  1.200000e+01

  The matrix B:

  Col         1             2             3             4       
  Row

    1   2.000000e+00  1.000000e+00  0.000000e+00  0.000000e+00
    2   1.000000e+00  2.000000e+00  1.000000e+00  0.000000e+00
    3   0.000000e+00  1.000000e+00  2.000000e+00  1.000000e+00
    4   0.000000e+00  0.000000e+00  1.000000e+00  2.000000e+00

  Real and imaginary parts of eigenvalues:

         1    2.000000e+00    0.000000e+00
         2    1.000000e+00    0.000000e+00
         3    3.000000e+00    0.000000e+00
         4    4.000000e+00    0.000000e+00

RGG_TEST:
  RGG for real generalized problem.
  Find scalars LAMBDA and vectors x so that
    A*x = LAMBDA * B * x
  Matrix order =        4

  The matrix A:

  Col         1             2             3             4       
  Row

    1  -7.000000e+00  7.000000e+00  6.000000e+00  6.000000e+00
    2  -1.000000e+01  8.000000e+00  1.000000e+01  8.000000e+00
    3  -8.000000e+00  3.000000e+00  1.000000e+01  1.100000e+01
    4  -4.000000e+00  0.000000e+00  4.000000e+00  1.200000e+01

  The matrix B:

  Col         1             2             3             4       
  Row

    1   2.000000e+00  1.000000e+00  0.000000e+00  0.000000e+00
    2   1.000000e+00  2.000000e+00  1.000000e+00  0.000000e+00
    3   0.000000e+00  1.000000e+00  2.000000e+00  1.000000e+00
    4   0.000000e+00  0.000000e+00  1.000000e+00  2.000000e+00

  Real and imaginary parts of eigenvalues:

         1    2.000000e+00    0.000000e+00
         2    1.000000e+00    0.000000e+00
         3    3.000000e+00    0.000000e+00
         4    4.000000e+00    0.000000e+00

  The eigenvectors are:

  Eigenvector        1

  1.000000e+00
  1.000000e+00
 -1.000000e+00
 -1.000000e+00

  Eigenvector        2

  1.000000e+00
  7.500000e-01
 -1.000000e+00
 -1.000000e+00

  Eigenvector        3

  6.666667e-01
  5.000000e-01
 -1.000000e+00
 -1.000000e+00

  Eigenvector        4

  3.333333e-01
  2.500000e-01
 -5.000000e-01
 -1.000000e+00

  Residuals (A*x-(Alfr+Alfi*I)*B*x) for eigenvalue        1

  3.552714e-15
 -3.552714e-15
 -6.328271e-15
 -2.442491e-15

  Residuals (A*x-(Alfr+Alfi*I)*B*x) for eigenvalue        2

  0.000000e+00
 -4.829470e-15
 -6.966649e-15
 -2.775558e-15

  Residuals (A*x-(Alfr+Alfi*I)*B*x) for eigenvalue        3

 -3.996803e-15
  4.440892e-15
  4.884981e-15
  8.881784e-16

  Residuals (A*x-(Alfr+Alfi*I)*B*x) for eigenvalue        4

  0.000000e+00
  6.661338e-15
  7.105427e-15
  5.329071e-15

RS_TEST
  RS computes the eigenvalues and eigenvectors
  of a real symmetric matrix.
  Matrix order =        4

  The matrix A:

  Col         1             2             3             4       
  Row

    1   5.000000e+00  4.000000e+00  1.000000e+00  1.000000e+00
    2   4.000000e+00  5.000000e+00  1.000000e+00  1.000000e+00
    3   1.000000e+00  1.000000e+00  4.000000e+00  2.000000e+00
    4   1.000000e+00  1.000000e+00  2.000000e+00  4.000000e+00

  The eigenvalues Lambda:

         1  -2.69653970e+308
         2   2.69653970e+308
         3  -2.69653970e+308
         4    1.00000000e+00

RS_TEST
  RS computes the eigenvalues and eigenvectors
  of a real symmetric matrix.
  Matrix order =        4

  The matrix A:

  Col         1             2             3             4       
  Row

    1   5.000000e+00  4.000000e+00  1.000000e+00  1.000000e+00
    2   4.000000e+00  5.000000e+00  1.000000e+00  1.000000e+00
    3   1.000000e+00  1.000000e+00  4.000000e+00  2.000000e+00
    4   1.000000e+00  1.000000e+00  2.000000e+00  4.000000e+00

  The eigenvalues Lambda:

         1  -2.69653970e+308
         2    1.00000000e+00
         3  -2.69653970e+308
         4   2.69653970e+308

  The eigenvector matrix:

  Col         1             2             3             4       
  Row

    1 -2.696540e+308  7.071068e-01-2.696540e+308-2.696540e+308
    2 -2.696540e+308 -7.071068e-01-2.696540e+308-2.696540e+308
    3 -2.696540e+308  0.000000e+00-2.696540e+308-2.696540e+308
    4 -2.696540e+308  0.000000e+00-2.696540e+308-2.696540e+308

  The residual (A-Lambda*I)*X:

  Col         1             2             3             4       
  Row

    1 -2.696540e+308  0.000000e+00-2.696540e+308-2.696540e+308
    2 -2.696540e+308  0.000000e+00-2.696540e+308-2.696540e+308
    3 -2.696540e+308  0.000000e+00-2.696540e+308-2.696540e+308
    4 -2.696540e+308  0.000000e+00-2.696540e+308-2.696540e+308

RSB_TEST
  RSB computes the eigenvalues and eigenvectors
  of a real symmetric band matrix.
  Matrix order =        5

  The matrix A:

  Col         1             2             3             4             5       
  Row

    1   2.000000e+00 -1.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
    2  -1.000000e+00  2.000000e+00 -1.000000e+00  0.000000e+00  0.000000e+00
    3   0.000000e+00 -1.000000e+00  2.000000e+00 -1.000000e+00  0.000000e+00
    4   0.000000e+00  0.000000e+00 -1.000000e+00  2.000000e+00 -1.000000e+00
    5   0.000000e+00  0.000000e+00  0.000000e+00 -1.000000e+00  2.000000e+00

Warning!
  The error return flag IERR =        1

  The eigenvalues Lambda:

         1  -2.69653970e+308
         2  -2.69653970e+308
         3  -2.69653970e+308
         4  -2.69653970e+308
         5  -2.69653970e+308

RSB_TEST
  RSB computes the eigenvalues and eigenvectors
  of a real symmetric band matrix.
  Matrix order =        5

  The matrix A:

  Col         1             2             3             4             5       
  Row

    1   2.000000e+00 -1.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
    2  -1.000000e+00  2.000000e+00 -1.000000e+00  0.000000e+00  0.000000e+00
    3   0.000000e+00 -1.000000e+00  2.000000e+00 -1.000000e+00  0.000000e+00
    4   0.000000e+00  0.000000e+00 -1.000000e+00  2.000000e+00 -1.000000e+00
    5   0.000000e+00  0.000000e+00  0.000000e+00 -1.000000e+00  2.000000e+00

  The eigenvalues Lambda:

         1  -2.69653970e+308
         2  -2.69653970e+308
         3   2.69653970e+308
         4   2.69653970e+308
         5   2.69653970e+308

  The eigenvector matrix X:

  Col         1             2             3             4             5       
  Row

    1 -2.696540e+308-2.696540e+308-2.696540e+308-2.696540e+308-2.696540e+308
    2 -2.696540e+308-2.696540e+308-2.696540e+308-2.696540e+308-2.696540e+308
    3 -2.696540e+308-2.696540e+308-2.696540e+308-2.696540e+308-2.696540e+308
    4 -2.696540e+308-2.696540e+308-2.696540e+308-2.696540e+308-2.696540e+308
    5 -2.696540e+308-2.696540e+308-2.696540e+308-2.696540e+308-2.696540e+308

  The residual (A-Lambda*I)*X:

  Col         1             2             3             4             5       
  Row

    1 -2.696540e+308-2.696540e+308-2.696540e+308-2.696540e+308-2.696540e+308
    2 -2.696540e+308-2.696540e+308-2.696540e+308-2.696540e+308-2.696540e+308
    3 -2.696540e+308-2.696540e+308-2.696540e+308-2.696540e+308-2.696540e+308
    4 -2.696540e+308-2.696540e+308-2.696540e+308-2.696540e+308-2.696540e+308
    5 -2.696540e+308-2.696540e+308-2.696540e+308-2.696540e+308-2.696540e+308

RSG_TEST:
  RSG for real symmetric generalized problem.
  Find scalars LAMBDA and vectors X so that
    A*X = LAMBDA * B * X
  Matrix order =        4

  The matrix A:

  Col         1             2             3             4       
  Row

    1   0.000000e+00  1.000000e+00  2.000000e+00  3.000000e+00
    2   1.000000e+00  0.000000e+00  1.000000e+00  2.000000e+00
    3   2.000000e+00  1.000000e+00  0.000000e+00  1.000000e+00
    4   3.000000e+00  2.000000e+00  1.000000e+00  0.000000e+00

  The matrix B:

  Col         1             2             3             4       
  Row

    1   2.000000e+00 -1.000000e+00  0.000000e+00  0.000000e+00
    2  -1.000000e+00  2.000000e+00 -1.000000e+00  0.000000e+00
    3   0.000000e+00 -1.000000e+00  2.000000e+00 -1.000000e+00
    4   0.000000e+00  0.000000e+00 -1.000000e+00  2.000000e+00

  The eigenvalues Lambda:

         1   -2.43578167e+00
         2   -5.20797289e-01
         3   -1.64218331e-01
         4    1.15207973e+01

RSG_TEST:
  RSG for real symmetric generalized problem.
  Find scalars LAMBDA and vectors X so that
    A*X = LAMBDA * B * X
  Matrix order =        4

  The matrix A:

  Col         1             2             3             4       
  Row

    1   0.000000e+00  1.000000e+00  2.000000e+00  3.000000e+00
    2   1.000000e+00  0.000000e+00  1.000000e+00  2.000000e+00
    3   2.000000e+00  1.000000e+00  0.000000e+00  1.000000e+00
    4   3.000000e+00  2.000000e+00  1.000000e+00  0.000000e+00

  The matrix B:

  Col         1             2             3             4       
  Row

    1   2.000000e+00 -1.000000e+00  0.000000e+00  0.000000e+00
    2  -1.000000e+00  2.000000e+00 -1.000000e+00  0.000000e+00
    3   0.000000e+00 -1.000000e+00  2.000000e+00 -1.000000e+00
    4   0.000000e+00  0.000000e+00 -1.000000e+00  2.000000e+00

  The eigenvalues Lambda:

         1  -2.69653970e+308
         2  -2.69653970e+308
         3   2.69653970e+308
         4  -2.69653970e+308

  The eigenvector matrix X:

  Col         1             2             3             4       
  Row

    1 -2.696540e+308-2.696540e+308-2.696540e+308-2.696540e+308
    2 -2.696540e+308-2.696540e+308-2.696540e+308-2.696540e+308
    3 -2.696540e+308-2.696540e+308-2.696540e+308-2.696540e+308
    4 -2.696540e+308-2.696540e+308-2.696540e+308-2.696540e+308

Residuals (A*x-(w*I)*B*x) for eigenvalue        1

-2.696540e+308
-2.696540e+308
-2.696540e+308
-2.696540e+308

Residuals (A*x-(w*I)*B*x) for eigenvalue        2

-2.696540e+308
-2.696540e+308
-2.696540e+308
-2.696540e+308

Residuals (A*x-(w*I)*B*x) for eigenvalue        3

-2.696540e+308
-2.696540e+308
-2.696540e+308
-2.696540e+308

Residuals (A*x-(w*I)*B*x) for eigenvalue        4

-2.696540e+308
-2.696540e+308
-2.696540e+308
-2.696540e+308

RSGAB_TEST:
  RSGAB for real symmetric generalized problem.
  Find scalars LAMBDA and vectors X so that
    A*B*X = LAMBDA * X
  Matrix order =        4

  The matrix A:

  Col         1             2             3             4       
  Row

    1   0.000000e+00  1.000000e+00  2.000000e+00  3.000000e+00
    2   1.000000e+00  0.000000e+00  1.000000e+00  2.000000e+00
    3   2.000000e+00  1.000000e+00  0.000000e+00  1.000000e+00
    4   3.000000e+00  2.000000e+00  1.000000e+00  0.000000e+00

  The matrix B:

  Col         1             2             3             4       
  Row

    1   2.000000e+00 -1.000000e+00  0.000000e+00  0.000000e+00
    2  -1.000000e+00  2.000000e+00 -1.000000e+00  0.000000e+00
    3   0.000000e+00 -1.000000e+00  2.000000e+00 -1.000000e+00
    4   0.000000e+00  0.000000e+00 -1.000000e+00  2.000000e+00

  The eigenvalues Lambda:

         1   -5.00000000e+00
         2   -2.00000000e+00
         3   -2.00000000e+00
         4    3.00000000e+00

RSGAB_TEST:
  RSGAB for real symmetric generalized problem.
  Find scalars LAMBDA and vectors X so that
    A*B*X = LAMBDA * X
  Matrix order =        4

  The matrix A:

  Col         1             2             3             4       
  Row

    1   0.000000e+00  1.000000e+00  2.000000e+00  3.000000e+00
    2   1.000000e+00  0.000000e+00  1.000000e+00  2.000000e+00
    3   2.000000e+00  1.000000e+00  0.000000e+00  1.000000e+00
    4   3.000000e+00  2.000000e+00  1.000000e+00  0.000000e+00

  The matrix B:

  Col         1             2             3             4       
  Row

    1   2.000000e+00 -1.000000e+00  0.000000e+00  0.000000e+00
    2  -1.000000e+00  2.000000e+00 -1.000000e+00  0.000000e+00
    3   0.000000e+00 -1.000000e+00  2.000000e+00 -1.000000e+00
    4   0.000000e+00  0.000000e+00 -1.000000e+00  2.000000e+00

  The eigenvalues Lambda:

         1  -2.69653970e+308
         2  -2.69653970e+308
         3  -2.69653970e+308
         4  -2.69653970e+308

  The eigenvector matrix X:

  Col         1             2             3             4       
  Row

    1 -2.696540e+308-2.696540e+308-2.696540e+308-2.696540e+308
    2 -2.696540e+308-2.696540e+308-2.696540e+308-2.696540e+308
    3 -2.696540e+308-2.696540e+308-2.696540e+308-2.696540e+308
    4 -2.696540e+308-2.696540e+308-2.696540e+308-2.696540e+308

  The residual matrix (A*B-Lambda*I)*X:

  Col         1             2             3             4       
  Row

    1 -2.696540e+308-2.696540e+308-2.696540e+308-2.696540e+308
    2 -2.696540e+308-2.696540e+308-2.696540e+308-2.696540e+308
    3 -2.696540e+308-2.696540e+308-2.696540e+308-2.696540e+308
    4 -2.696540e+308-2.696540e+308-2.696540e+308-2.696540e+308

RSGBA_TEST:
  RSGBA for real symmetric generalized problem.
  Find scalars LAMBDA and vectors X so that
    B*A*X = LAMBDA * X
  Matrix order =        4

  The matrix A:

  Col         1             2             3             4       
  Row

    1   0.000000e+00  1.000000e+00  2.000000e+00  3.000000e+00
    2   1.000000e+00  0.000000e+00  1.000000e+00  2.000000e+00
    3   2.000000e+00  1.000000e+00  0.000000e+00  1.000000e+00
    4   3.000000e+00  2.000000e+00  1.000000e+00  0.000000e+00

  The matrix B:

  Col         1             2             3             4       
  Row

    1   2.000000e+00 -1.000000e+00  0.000000e+00  0.000000e+00
    2  -1.000000e+00  2.000000e+00 -1.000000e+00  0.000000e+00
    3   0.000000e+00 -1.000000e+00  2.000000e+00 -1.000000e+00
    4   0.000000e+00  0.000000e+00 -1.000000e+00  2.000000e+00

  The eigenvalues Lambda:

         1   -5.00000000e+00
         2   -2.00000000e+00
         3   -2.00000000e+00
         4    3.00000000e+00

RSGBA_TEST:
  RSGBA for real symmetric generalized problem.
  Find scalars LAMBDA and vectors X so that
    B*A*X = LAMBDA * X
  Matrix order =        4

  The matrix A:

  Col         1             2             3             4       
  Row

    1   0.000000e+00  1.000000e+00  2.000000e+00  3.000000e+00
    2   1.000000e+00  0.000000e+00  1.000000e+00  2.000000e+00
    3   2.000000e+00  1.000000e+00  0.000000e+00  1.000000e+00
    4   3.000000e+00  2.000000e+00  1.000000e+00  0.000000e+00

  The matrix B:

  Col         1             2             3             4       
  Row

    1   2.000000e+00 -1.000000e+00  0.000000e+00  0.000000e+00
    2  -1.000000e+00  2.000000e+00 -1.000000e+00  0.000000e+00
    3   0.000000e+00 -1.000000e+00  2.000000e+00 -1.000000e+00
    4   0.000000e+00  0.000000e+00 -1.000000e+00  2.000000e+00

  The eigenvalues Lambda:

         1  -2.69653970e+308
         2  -2.69653970e+308
         3  -2.69653970e+308
         4  -2.69653970e+308

  The eigenvector matrix X:

  Col         1             2             3             4       
  Row

    1 -2.696540e+308-2.696540e+308-2.696540e+308-2.696540e+308
    2 -2.696540e+308-2.696540e+308-2.696540e+308-2.696540e+308
    3 -2.696540e+308-2.696540e+308-2.696540e+308-2.696540e+308
    4 -2.696540e+308-2.696540e+308-2.696540e+308-2.696540e+308

  The residual matrix (B*A-Lambda*I)*X:

  Col         1             2             3             4       
  Row

    1 -2.696540e+308-2.696540e+308-2.696540e+308-2.696540e+308
    2 -2.696540e+308-2.696540e+308-2.696540e+308-2.696540e+308
    3 -2.696540e+308-2.696540e+308-2.696540e+308-2.696540e+308
    4 -2.696540e+308-2.696540e+308-2.696540e+308-2.696540e+308

RSM_TEST
  RSM computes some eigenvalues and eigenvectors
  of a real symmetric matrix.
  Matrix order =        4
  Number of eigenvectors desired =        4

  The matrix A:

  Col         1             2             3             4       
  Row

    1   5.000000e+00  4.000000e+00  1.000000e+00  1.000000e+00
    2   4.000000e+00  5.000000e+00  1.000000e+00  1.000000e+00
    3   1.000000e+00  1.000000e+00  4.000000e+00  2.000000e+00
    4   1.000000e+00  1.000000e+00  2.000000e+00  4.000000e+00

Warning!
  The error return flag IERR =       -4

  The eigenvalues Lambda:

         1  -1.79769313e+308
         2    1.00000000e+00
         3    6.00000000e+00
         4   1.79769313e+308

  The eigenvector matrix X:

  Col         1             2             3             4       
  Row

    1 -2.696540e+308  7.071068e-01  0.000000e+00-2.696540e+308
    2 -2.696540e+308 -7.071068e-01  0.000000e+00-2.696540e+308
    3 -2.696540e+308  0.000000e+00  0.000000e+00-2.696540e+308
    4 -2.696540e+308  0.000000e+00  0.000000e+00-2.696540e+308

  The residual (A-Lambda*I)*X:

  Col         1             2             3             4       
  Row

    1 -2.696540e+308  0.000000e+00  0.000000e+00-2.696540e+308
    2 -2.696540e+308  0.000000e+00  0.000000e+00-2.696540e+308
    3 -2.696540e+308  0.000000e+00  0.000000e+00-2.696540e+308
    4 -2.696540e+308  0.000000e+00  0.000000e+00-2.696540e+308

RSP_TEST
  RSP computes the eigenvalues and eigenvectors
  of a real symmetric packed matrix.
  Matrix order =        4

  The matrix A:

  Col         1             2             3             4       
  Row

    1   5.000000e+00  4.000000e+00  1.000000e+00  1.000000e+00
    2   4.000000e+00  5.000000e+00  1.000000e+00  1.000000e+00
    3   1.000000e+00  1.000000e+00  4.000000e+00  2.000000e+00
    4   1.000000e+00  1.000000e+00  2.000000e+00  4.000000e+00

  The eigenvalues Lambda:

         1    1.00000000e+00
         2    2.00000000e+00
         3    5.00000000e+00
         4    1.00000000e+01

RSP_TEST
  RSP computes the eigenvalues and eigenvectors
  of a real symmetric packed matrix.
  Matrix order =        4

  The matrix A:

  Col         1             2             3             4       
  Row

    1   5.000000e+00  4.000000e+00  1.000000e+00  1.000000e+00
    2   4.000000e+00  5.000000e+00  1.000000e+00  1.000000e+00
    3   1.000000e+00  1.000000e+00  4.000000e+00  2.000000e+00
    4   1.000000e+00  1.000000e+00  2.000000e+00  4.000000e+00

  The eigenvalues Lambda:

         1  -2.69653970e+308
         2    1.00000000e+00
         3  -2.69653970e+308
         4   2.69653970e+308

  The eigenvector matrix X:

  Col         1             2             3             4       
  Row

    1 -2.696540e+308  7.071068e-01-2.696540e+308-2.696540e+308
    2 -2.696540e+308 -7.071068e-01-2.696540e+308-2.696540e+308
    3 -2.696540e+308  0.000000e+00-2.696540e+308-2.696540e+308
    4 -2.696540e+308  0.000000e+00-2.696540e+308-2.696540e+308

  The residual matrix (A-Lambda*I)*X:

  Col         1             2             3             4       
  Row

    1 -2.696540e+308  0.000000e+00-2.696540e+308-2.696540e+308
    2 -2.696540e+308  0.000000e+00-2.696540e+308-2.696540e+308
    3 -2.696540e+308  0.000000e+00-2.696540e+308-2.696540e+308
    4 -2.696540e+308  0.000000e+00-2.696540e+308-2.696540e+308

RSPP_TEST
  RSPP finds some eigenvalues and eigenvectors of
  a real symmetric packed matrix.
  Matrix order =        4

  The matrix A:

  Col         1             2             3             4       
  Row

    1   5.000000e+00  4.000000e+00  1.000000e+00  1.000000e+00
    2   4.000000e+00  5.000000e+00  1.000000e+00  1.000000e+00
    3   1.000000e+00  1.000000e+00  4.000000e+00  2.000000e+00
    4   1.000000e+00  1.000000e+00  2.000000e+00  4.000000e+00

  The eigenvalues Lambda:

         1    1.00000000e+00
         2    2.00000000e+00
         3    5.00000000e+00
         4    1.00000000e+01

RSPP_TEST
  RSPP finds some eigenvalues and eigenvectors of
  a real symmetric packed matrix.
  Matrix order =        4

  The matrix A:

  Col         1             2             3             4       
  Row

    1   5.000000e+00  4.000000e+00  1.000000e+00  1.000000e+00
    2   4.000000e+00  5.000000e+00  1.000000e+00  1.000000e+00
    3   1.000000e+00  1.000000e+00  4.000000e+00  2.000000e+00
    4   1.000000e+00  1.000000e+00  2.000000e+00  4.000000e+00
 
RSPP - Fatal error!
  Error return from TINVIT.

Warning!
  The error return flag was IERR =       -3

  The eigenvalues Lambda:

         1    1.00000000e+00
         2    2.00000000e+00
         3    5.00000000e+00
         4    1.00000000e+01

  The eigenvector matrix X:

  Col         1             2             3             4       
  Row

    1   1.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
    2   0.000000e+00 1.797693e+308 2.696540e+308 1.797693e+308
    3   0.000000e+00-1.797693e+308 2.696540e+308 1.797693e+308
    4   0.000000e+00-1.797693e+308 2.696540e+308-1.797693e+308

  The residual matrix (A-Lambda*I)*X:

  Col         1             2             3             4       
  Row

    1   4.000000e+00-2.696540e+308 2.696540e+308-2.696540e+308
    2   4.000000e+00-2.696540e+308 2.696540e+308-2.696540e+308
    3   1.000000e+00-2.696540e+308 2.696540e+308-2.696540e+308
    4   1.000000e+00-2.696540e+308 2.696540e+308-2.696540e+308

RST_TEST
  RST computes the eigenvalues and eigenvectors
  of a real symmetric tridiagonal matrix.
  Matrix order =        5

  The matrix A:

  Col         1             2             3             4             5       
  Row

    1   2.000000e+00 -1.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
    2  -1.000000e+00  2.000000e+00 -1.000000e+00  0.000000e+00  0.000000e+00
    3   0.000000e+00 -1.000000e+00  2.000000e+00 -1.000000e+00  0.000000e+00
    4   0.000000e+00  0.000000e+00 -1.000000e+00  2.000000e+00 -1.000000e+00
    5   0.000000e+00  0.000000e+00  0.000000e+00 -1.000000e+00  2.000000e+00

Warning!
  The error return flag IERR =        1

  The eigenvalues Lambda:

         1    2.00000000e+00
         2    2.00000000e+00
         3    2.00000000e+00
         4    2.00000000e+00
         5    2.00000000e+00

RST_TEST
  RST computes the eigenvalues and eigenvectors
  of a real symmetric tridiagonal matrix.
  Matrix order =        5

  The matrix A:

  Col         1             2             3             4             5       
  Row

    1   2.000000e+00 -1.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
    2  -1.000000e+00  2.000000e+00 -1.000000e+00  0.000000e+00  0.000000e+00
    3   0.000000e+00 -1.000000e+00  2.000000e+00 -1.000000e+00  0.000000e+00
    4   0.000000e+00  0.000000e+00 -1.000000e+00  2.000000e+00 -1.000000e+00
    5   0.000000e+00  0.000000e+00  0.000000e+00 -1.000000e+00  2.000000e+00

Warning!
  The error return flag IERR =        1

  The eigenvalues Lambda:

         1    2.00000000e+00
         2    2.00000000e+00
         3    2.00000000e+00
         4    2.00000000e+00
         5    2.00000000e+00

  The eigenvector matrix X:

  Col         1             2             3             4             5       
  Row

    1   1.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
    2   0.000000e+00  1.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
    3   0.000000e+00  0.000000e+00  1.000000e+00  0.000000e+00  0.000000e+00
    4   0.000000e+00  0.000000e+00  0.000000e+00  1.000000e+00  0.000000e+00
    5   0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  1.000000e+00

  The residual matrix (A-Lambda*I)*X:

  Col         1             2             3             4             5       
  Row

    1   0.000000e+00 -1.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
    2  -1.000000e+00  0.000000e+00 -1.000000e+00  0.000000e+00  0.000000e+00
    3   0.000000e+00 -1.000000e+00  0.000000e+00 -1.000000e+00  0.000000e+00
    4   0.000000e+00  0.000000e+00 -1.000000e+00  0.000000e+00 -1.000000e+00
    5   0.000000e+00  0.000000e+00  0.000000e+00 -1.000000e+00  0.000000e+00

RT_TEST
  RT computes the eigenvalues and eigenvectors
  of a real sign-symmetric tridiagonal matrix.
  Matrix order =        5

  The matrix A:

  Col         1             2             3             4             5       
  Row

    1   2.000000e+00 -1.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
    2  -1.000000e+00  2.000000e+00 -1.000000e+00  0.000000e+00  0.000000e+00
    3   0.000000e+00 -1.000000e+00  2.000000e+00 -1.000000e+00  0.000000e+00
    4   0.000000e+00  0.000000e+00 -1.000000e+00  2.000000e+00 -1.000000e+00
    5   0.000000e+00  0.000000e+00  0.000000e+00 -1.000000e+00  2.000000e+00

Warning!
  The error return flag IERR =        1

  The eigenvalues Lambda:

         1    2.00000000e+00
         2    2.00000000e+00
         3    2.00000000e+00
         4    2.00000000e+00
         5    2.00000000e+00

RT_TEST
  RT computes the eigenvalues and eigenvectors
  of a real sign-symmetric tridiagonal matrix.
  Matrix order =        5

  The matrix A:

  Col         1             2             3             4             5       
  Row

    1   2.000000e+00 -1.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
    2  -1.000000e+00  2.000000e+00 -1.000000e+00  0.000000e+00  0.000000e+00
    3   0.000000e+00 -1.000000e+00  2.000000e+00 -1.000000e+00  0.000000e+00
    4   0.000000e+00  0.000000e+00 -1.000000e+00  2.000000e+00 -1.000000e+00
    5   0.000000e+00  0.000000e+00  0.000000e+00 -1.000000e+00  2.000000e+00

Warning!
  The error return flag IERR =        1

  The eigenvalues Lambda:

         1    2.00000000e+00
         2    2.00000000e+00
         3    2.00000000e+00
         4    2.00000000e+00
         5    2.00000000e+00

  The eigenvector matrix X:

  Col         1             2             3             4             5       
  Row

    1   1.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
    2   0.000000e+00 -1.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
    3   0.000000e+00  0.000000e+00  1.000000e+00  0.000000e+00  0.000000e+00
    4   0.000000e+00  0.000000e+00  0.000000e+00 -1.000000e+00  0.000000e+00
    5   0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  1.000000e+00

  The residual matrix (A-Lambda*I)*X:

  Col         1             2             3             4             5       
  Row

    1   0.000000e+00  1.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
    2  -1.000000e+00  0.000000e+00 -1.000000e+00  0.000000e+00  0.000000e+00
    3   0.000000e+00  1.000000e+00  0.000000e+00  1.000000e+00  0.000000e+00
    4   0.000000e+00  0.000000e+00 -1.000000e+00  0.000000e+00 -1.000000e+00
    5   0.000000e+00  0.000000e+00  0.000000e+00  1.000000e+00  0.000000e+00

SVD_TEST
  SVD computes the singular value decomposition
  of a real general matrix.
  Matrix order =        4

  The matrix A:

  Col         1             2             3             4       
  Row

    1   9.900000e-01  2.000000e-03  6.000000e-03  2.000000e-03
    2   2.000000e-03  9.900000e-01  2.000000e-03  6.000000e-03
    3   6.000000e-03  2.000000e-03  9.900000e-01  2.000000e-03
    4   2.000000e-03  6.000000e-03  2.000000e-03  9.900000e-01

  The singular values S

         1    0.00000000e+00
         2    0.00000000e+00
         3    0.00000000e+00
         4    0.00000000e+00

  The U matrix:

  Col         1             2             3             4       
  Row

    1  1.797693e+308-2.696540e+308 2.696540e+308-2.696540e+308
    2 -2.696540e+308-2.696540e+308 2.696540e+308-2.696540e+308
    3 -2.696540e+308-2.696540e+308 2.696540e+308-2.696540e+308
    4 -2.696540e+308-2.696540e+308 2.696540e+308-2.696540e+308

  The V matrix:

  Col         1             2             3             4       
  Row

    1 -2.696540e+308-2.696540e+308-2.696540e+308-2.696540e+308
    2 -2.696540e+308-2.696540e+308-2.696540e+308-2.696540e+308
    3 -2.696540e+308-2.696540e+308-2.696540e+308-2.696540e+308
    4 -2.696540e+308-2.696540e+308-2.696540e+308-2.696540e+308

  The product U * S * Transpose(V):

  Col         1             2             3             4       
  Row

    1 -2.696540e+308-2.696540e+308-2.696540e+308-2.696540e+308
    2 -2.696540e+308-2.696540e+308-2.696540e+308-2.696540e+308
    3 -2.696540e+308-2.696540e+308-2.696540e+308-2.696540e+308
    4 -2.696540e+308-2.696540e+308-2.696540e+308-2.696540e+308

TQL1_TEST
  TQL1 computes the eigenvalues
  of a real symmetric tridiagonal matrix.
  Matrix order =        5

  The matrix A:

  Col         1             2             3             4             5       
  Row

    1   2.000000e+00 -1.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
    2  -1.000000e+00  2.000000e+00 -1.000000e+00  0.000000e+00  0.000000e+00
    3   0.000000e+00 -1.000000e+00  2.000000e+00 -1.000000e+00  0.000000e+00
    4   0.000000e+00  0.000000e+00 -1.000000e+00  2.000000e+00 -1.000000e+00
    5   0.000000e+00  0.000000e+00  0.000000e+00 -1.000000e+00  2.000000e+00

  The eigenvalues Lambda:

         1  -2.69653970e+308
         2   2.69653970e+308
         3   2.69653970e+308
         4   2.69653970e+308
         5  -2.69653970e+308

TRIDIB_TEST
  TRIDIB computes some eigenvalues of 
  a real symmetric tridiagonal matrix.
  Matrix order =        5

  The matrix A:

  Col         1             2             3             4             5       
  Row

    1   2.000000e+00 -1.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
    2  -1.000000e+00  2.000000e+00 -1.000000e+00  0.000000e+00  0.000000e+00
    3   0.000000e+00 -1.000000e+00  2.000000e+00 -1.000000e+00  0.000000e+00
    4   0.000000e+00  0.000000e+00 -1.000000e+00  2.000000e+00 -1.000000e+00
    5   0.000000e+00  0.000000e+00  0.000000e+00 -1.000000e+00  2.000000e+00

  The eigenvalues Lambda:

         1    2.67949192e-01
         2    1.00000000e+00
         3    2.00000000e+00
         4    3.00000000e+00
         5    3.73205081e+00

TSTURM_TEST
  TSTURM computes some eigenvalues and
  eigenvectors of a real symmetric 
  tridiagonal matrix.
  Matrix order =        5

  The matrix A:

  Col         1             2             3             4             5       
  Row

    1   2.000000e+00 -1.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
    2  -1.000000e+00  2.000000e+00 -1.000000e+00  0.000000e+00  0.000000e+00
    3   0.000000e+00 -1.000000e+00  2.000000e+00 -1.000000e+00  0.000000e+00
    4   0.000000e+00  0.000000e+00 -1.000000e+00  2.000000e+00 -1.000000e+00
    5   0.000000e+00  0.000000e+00  0.000000e+00 -1.000000e+00  2.000000e+00

TSTURM_TEST - Warning!
  The error return flag IERR =       22

EISPACK_TEST
  Normal end of execution.

rc= 0
** fftpack/fftpack4-test.f
0n  120 rfftf   1.918e-15 rfftb   5.684e-13 rfftfb  4.441e-16 sint    3.840e-15 sintfb  1.332e-15 cost    3.923e-15
        costfb  5.884e-15 sinqf   1.123e-12 sinqb   2.813e-15 sinqfb  5.551e-16 cosqf   2.546e-15 cosqb   4.382e-15
        cosqfb  5.551e-16 dezf    3.874e-15 dezb    2.998e-14 dezfb   3.553e-15 cfftf   6.809e-15 cfftb   9.234e-14
        cfftfb  8.951e-16
0n   54 rfftf   9.540e-16 rfftb   1.030e-13 rfftfb  4.996e-16 sint    8.175e-16 sintfb  1.554e-15 cost    9.704e-16
        costfb  1.076e-15 sinqf   7.527e-14 sinqb   1.118e-15 sinqfb  8.882e-16 cosqf   2.423e-16 cosqb   6.579e-16
        cosqfb  4.163e-16 dezf    1.776e-15 dezb    7.438e-15 dezfb   9.992e-16 cfftf   4.903e-15 cfftb   1.835e-14
        cfftfb  6.474e-16
0n   49 rfftf   1.174e-15 rfftb   1.050e-13 rfftfb  1.665e-15 sint    1.097e-15 sintfb  2.109e-15 cost    9.924e-16
        costfb  3.886e-15 sinqf   2.061e-13 sinqb   8.701e-16 sinqfb  1.887e-15 cosqf   9.788e-16 cosqb   7.318e-16
        cosqfb  1.998e-15 dezf    2.512e-15 dezb    1.110e-14 dezfb   2.776e-15 cfftf   1.006e-14 cfftb   3.220e-14
        cfftfb  8.083e-16
0n   32 rfftf   5.699e-16 rfftb   3.642e-14 rfftfb  3.331e-16 sint    1.221e-15 sintfb  4.718e-16 cost    1.277e-15
        costfb  6.661e-16 sinqf   4.574e-14 sinqb   6.106e-16 sinqfb  3.331e-16 cosqf   4.094e-16 cosqb   9.992e-16
        cosqfb  2.220e-16 dezf    1.141e-15 dezb    6.800e-15 dezfb   5.551e-16 cfftf   2.192e-15 cfftb   1.199e-14
        cfftfb  4.743e-16
0n    4 rfftf   0.000e+00 rfftb   4.441e-16 rfftfb  1.110e-16 sint    5.551e-17 sintfb  0.000e+00 cost    5.551e-17
        costfb  3.331e-16 sinqf   1.110e-15 sinqb   1.388e-16 sinqfb  1.665e-16 cosqf   2.776e-17 cosqb   2.776e-17
        cosqfb  1.110e-16 dezf    0.000e+00 dezb    1.110e-16 dezfb   5.551e-17 cfftf   2.220e-16 cfftb   3.331e-16
        cfftfb  1.110e-16
0n    3 rfftf   7.401e-17 rfftb   1.110e-16 rfftfb  2.220e-16 sint    3.701e-17 sintfb  1.110e-16 cost    1.665e-16
        costfb  2.220e-16 sinqf   6.661e-16 sinqb   1.665e-16 sinqfb  1.110e-16 cosqf   9.252e-17 cosqb   1.480e-16
        cosqfb  2.220e-16 dezf    2.220e-16 dezb    2.776e-16 dezfb   1.665e-16 cfftf   3.052e-16 cfftb   3.511e-16
        cfftfb  2.776e-17
0n    2 rfftf   0.000e+00 rfftb   0.000e+00 rfftfb  5.551e-17 sint    0.000e+00 sintfb  0.000e+00 cost    0.000e+00
        costfb  0.000e+00 sinqf   2.220e-16 sinqb   5.551e-17 sinqfb  1.110e-16 cosqf   1.388e-17 cosqb   2.776e-17
        cosqfb  1.110e-16 dezf    0.000e+00 dezb    0.000e+00 dezfb   5.551e-17 cfftf   1.570e-16 cfftb   1.570e-16
        cfftfb  1.110e-16
rc= 0
** fftpack/fftpack51d-test.f
 
fftpack5.1_test():
  FORTRAN77 version
  Test fftpack5.1().
 
TEST01
  For complex fast Fourier transforms, 1D,
  CFFT1I initializes the transform,
  CFFT1F does a forward transform;
  CFFT1B does a backward transform.
 
  The number of data items is N = 4096
  Workspace size LENSAV =     8208
 
  The original data:
 
         1:  -1.228468e-01   -1.871080e-02
         2:   7.792095e-01   -4.495924e-01
         3:   3.866674e-01    1.573881e-02
         4:  -7.324502e-01    5.315492e-01
         5:   2.972862e-01    4.042642e-01
         6:   2.896339e-01   -7.521377e-01
         7:   1.715879e-01    6.820451e-01
         8:   5.642492e-01    4.017819e-01
  ........  ..............  ..............
      4096:   2.785087e-02    3.264577e-01
 
  The FFT coefficients:
 
         1:  -7.791712e-04   -1.697665e-03
         2:   2.691706e-03    1.711167e-02
         3:  -9.850163e-04   -5.571892e-03
         4:   7.834265e-03    4.724658e-03
         5:  -1.286497e-02    1.580526e-03
         6:   1.313721e-03    2.002341e-02
         7:   1.241405e-02    1.976439e-03
         8:   1.075364e-03   -1.011861e-03
  ........  ..............  ..............
      4096:  -6.116062e-03    5.464670e-03
 
  The retrieved data:
 
         1:  -1.228467e-01   -1.871072e-02
         2:   7.792094e-01   -4.495923e-01
         3:   3.866674e-01    1.573879e-02
         4:  -7.324501e-01    5.315491e-01
         5:   2.972862e-01    4.042642e-01
         6:   2.896339e-01   -7.521378e-01
         7:   1.715880e-01    6.820451e-01
         8:   5.642493e-01    4.017818e-01
  ........  ..............  ..............
      4096:   2.785084e-02    3.264576e-01
 
TEST02
  For complex fast Fourier transforms, 2D,
  CFFT2I initializes the transform,
  CFFT2F does a forward transform;
  CFFT2B does a backward transform.
 
  The data is stored in an L by M array, with
  L =   32
  M =   64
  Workspace size LENSAV =      211
 
  Part of the original data:
 
  Col:          1                   2                   3                   4          
  Row
  ---
    1 -1.228e-01-1.871e-02-5.990e-01-5.348e-01-9.521e-01-3.295e-02 7.241e-01 2.293e-01
    2  7.792e-01-4.496e-01 3.195e-01 3.223e-02-1.800e-01-1.336e-02 5.276e-01 3.101e-02
    3  3.867e-01 1.574e-02-9.680e-01-4.215e-02-2.232e-01 7.492e-01-1.718e-01 1.359e-01
    4 -7.325e-01 5.315e-01 8.065e-01-4.945e-01 4.580e-01-5.175e-02 6.202e-01 6.435e-01
    5  2.973e-01 4.043e-01 8.024e-01-1.963e-01 8.635e-01 4.934e-01-5.743e-01 1.719e-01
 
  Col:          5          
  Row
  ---
    1 -5.676e-03-7.491e-01
    2 -3.997e-02 9.900e-01
    3  8.095e-01 2.121e-01
    4 -8.470e-02 7.332e-01
    5  3.779e-01 4.886e-01
 
  Part of the FFT coefficients:
 
  Col:          1                   2                   3                   4          
  Row
  ---
    1 -1.169e-02 7.040e-03 3.606e-03 9.515e-05-1.935e-02-4.414e-03 2.804e-02 5.250e-03
    2  1.547e-02 1.397e-03-5.956e-03 6.147e-03 3.199e-03-1.329e-03 9.904e-03 1.175e-02
    3  9.261e-03 6.592e-03 1.391e-02 5.865e-03 1.205e-03-1.423e-03-8.495e-03-1.036e-03
    4  9.780e-03 5.867e-03-2.201e-03 1.145e-04-3.989e-04 9.938e-03-2.876e-03 7.857e-03
    5 -1.161e-02 8.162e-03-6.042e-03-2.095e-02-2.438e-02 4.868e-03 9.960e-03-5.321e-03
 
  Col:          5          
  Row
  ---
    1 -5.810e-03-4.373e-03
    2 -3.787e-03-2.489e-02
    3  3.537e-03-9.193e-03
    4 -2.679e-02 9.208e-03
    5 -1.427e-03 8.370e-03
 
  Part of the retrieved data:
 
  Col:          1                   2                   3                   4          
  Row
  ---
    1 -1.228e-01-1.871e-02-5.990e-01-5.348e-01-9.521e-01-3.295e-02 7.241e-01 2.293e-01
    2  7.792e-01-4.496e-01 3.195e-01 3.223e-02-1.800e-01-1.336e-02 5.276e-01 3.101e-02
    3  3.867e-01 1.574e-02-9.680e-01-4.215e-02-2.232e-01 7.492e-01-1.718e-01 1.359e-01
    4 -7.325e-01 5.315e-01 8.065e-01-4.945e-01 4.580e-01-5.175e-02 6.202e-01 6.435e-01
    5  2.973e-01 4.043e-01 8.024e-01-1.963e-01 8.635e-01 4.934e-01-5.743e-01 1.719e-01
 
  Col:          5          
  Row
  ---
    1 -5.676e-03-7.491e-01
    2 -3.997e-02 9.900e-01
    3  8.095e-01 2.121e-01
    4 -8.470e-02 7.332e-01
    5  3.779e-01 4.886e-01
 
TEST03
  For complex fast Fourier transforms,
  1D, multiple
  CFFTMI initializes the transform,
  CFFTMF does a forward transform;
  CFFTMB does a backward transform.
 
  The number of sequences is LOT =    6
  The length of each sequence is N =   32
  Workspace size LENSAV =       73
 
  Part of the original data:
 
  Col:          1                   2                   3                   4          
  Row
  ---
    1 -1.228e-01-1.871e-02-5.990e-01-5.348e-01-9.521e-01-3.295e-02 7.241e-01 2.293e-01
    2  7.792e-01-4.496e-01 3.195e-01 3.223e-02-1.800e-01-1.336e-02 5.276e-01 3.101e-02
    3  3.867e-01 1.574e-02-9.680e-01-4.215e-02-2.232e-01 7.492e-01-1.718e-01 1.359e-01
    4 -7.325e-01 5.315e-01 8.065e-01-4.945e-01 4.580e-01-5.175e-02 6.202e-01 6.435e-01
    5  2.973e-01 4.043e-01 8.024e-01-1.963e-01 8.635e-01 4.934e-01-5.743e-01 1.719e-01
 
  Col:          5          
  Row
  ---
    1 -5.676e-03-7.491e-01
    2 -3.997e-02 9.900e-01
    3  8.095e-01 2.121e-01
    4 -8.470e-02 7.332e-01
    5  3.779e-01 4.886e-01
 
  Part of the FFT coefficients:
 
  Col:          1                   2                   3                   4          
  Row
  ---
    1 -1.328e-01 3.489e-02-1.026e-01 5.821e-02-5.666e-02 1.702e-01 1.072e-01-2.085e-02
    2  2.731e-02-1.092e-01-5.127e-02-1.189e-01-7.121e-02 2.090e-02 7.512e-02 1.010e-01
    3 -7.854e-02-7.278e-02-6.710e-02-1.151e-01 5.246e-02-7.685e-02 7.264e-02 3.180e-03
    4  1.268e-03 8.209e-03 8.000e-03 7.360e-02-8.453e-02-2.642e-02 9.778e-02 1.137e-01
    5 -6.010e-02-1.343e-01-1.453e-01-2.028e-02-5.524e-02-1.105e-01-8.391e-02 7.648e-02
 
  Col:          5          
  Row
  ---
    1  2.441e-02 1.705e-01
    2  2.241e-01 1.331e-01
    3  1.757e-01 1.374e-01
    4 -1.456e-01-9.568e-02
    5 -4.203e-02-4.520e-02
 
  Part of the retrieved data:
 
  Col:          1                   2                   3                   4          
  Row
  ---
    1 -1.228e-01-1.871e-02-5.990e-01-5.348e-01-9.521e-01-3.295e-02 7.241e-01 2.293e-01
    2  7.792e-01-4.496e-01 3.195e-01 3.223e-02-1.800e-01-1.336e-02 5.276e-01 3.101e-02
    3  3.867e-01 1.574e-02-9.680e-01-4.215e-02-2.232e-01 7.492e-01-1.718e-01 1.359e-01
    4 -7.325e-01 5.315e-01 8.065e-01-4.945e-01 4.580e-01-5.175e-02 6.202e-01 6.435e-01
    5  2.973e-01 4.043e-01 8.024e-01-1.963e-01 8.635e-01 4.934e-01-5.743e-01 1.719e-01
 
  Col:          5          
  Row
  ---
    1 -5.676e-03-7.491e-01
    2 -3.997e-02 9.900e-01
    3  8.095e-01 2.121e-01
    4 -8.470e-02 7.332e-01
    5  3.779e-01 4.886e-01
 
TEST04
  For real fast cosine transforms, 1D,
  COSQ1I initializes the transform,
  COSQ1F does a forward transform;
  COSQ1B does a backward transform.
 
  The number of data items is N = 4096
  Workspace size LENSAV =     8208
 
  The original data:
 
         1:   1.544143e-02
         2:   5.240560e-01
         3:   8.093007e-01
         4:   9.167103e-01
         5:   1.497594e-01
         6:   6.474625e-03
         7:   8.190278e-01
         8:   4.000864e-01
  ........  ..............
      4096:   6.258278e-01
 
  The FFT coefficients:
 
         1:  7.024575e+146
         2:  3.477365e+142
         3: -7.392556e+152
         4: -4.292572e-165
         5:  -3.430856e-11
         6:  -2.098565e+03
         7: -2.695666e+157
         8: -2.709769e-168
  ........  ..............
      4096:   1.527900e-04
 
  The retrieved data:
 
         1:  1.404448e+306
         2:  1.404448e+306
         3:  1.404449e+306
         4:   0.000000e+00
         5:  2.926462e-307
         6:   0.000000e+00
         7:   0.000000e+00
         8:   0.000000e+00
  ........  ..............
      4096:   1.527900e-04
 
TEST05
  For real fast cosine transforms, 
  1D, multiple
  COSQMI initializes the transform,
  COSQMF does a forward transform;
  COSQMB does a backward transform.
 
  The number of sequences is LOT =    6
  The length of each sequence is N =   32
  Workspace size LENSAV =       73
 
  Part of the original data:
 
  Col         1             2             3             4             5       
  Row
 
    1   1.544143e-02  8.197565e-01  6.448870e-01  3.536030e-02  9.076281e-01
    2   5.240560e-01  6.474856e-01  6.159995e-01  3.004916e-01  5.055056e-01
    3   8.093007e-01  2.895583e-01  1.031127e-01  3.629781e-01  3.257641e-02
    4   9.167103e-01  6.061282e-01  1.600160e-02  5.735765e-01  5.117874e-01
    5   1.497594e-01  1.958944e-01  9.388652e-01  1.007438e-01  6.110725e-01
 
  Part of the FFT coefficients:
 
  Col         1             2             3             4             5       
  Row
 
    1  2.790696e+146-2.077526e+141-4.619823e+133  1.105009e-03  2.836338e-02
    2   7.934671e+00  6.034725e+00  8.410224e+00  1.878073e-02  3.159410e-02
    3  -2.871290e+03-1.899664e+157 9.178306e-152 -2.268613e-02 -2.036026e-03
    4  1.061100e+155 9.570987e+154 1.187286e+155  3.584853e-02  3.198671e-02
    5   2.506156e-14-2.799043e-154 -2.029454e-14 -6.296487e-03 -3.819203e-02
 
  Part of the retrieved data:
 
  Col         1             2             3             4             5       
  Row
 
    1  1.404448e+306 1.404448e+306 1.404448e+306  1.105009e-03  2.836338e-02
    2   1.052271e+03  1.021734e+03  1.193037e+03  9.390363e-03  1.579705e-02
    3   0.000000e+00  0.000000e+00  0.000000e+00  1.134307e-02  1.018013e-03
    4 -2.247118e+307-2.247118e+307-2.247117e+307  1.792427e-02  1.599336e-02
    5   0.000000e+00 2.921296e-306  0.000000e+00  3.148244e-03  1.909602e-02
 
TEST06
  For real fast cosine transforms, 1D,
  COST1I initializes the transform,
  COST1F does a forward transform;
  COST1B does a backward transform.
 
  The number of data items is N = 4096
  Workspace size LENSAV =     8208
 
  The original data:
 
         1:   1.544143e-02
         2:   5.240560e-01
         3:   8.093007e-01
         4:   9.167103e-01
         5:   1.497594e-01
         6:   6.474625e-03
         7:   8.190278e-01
         8:   4.000864e-01
  ........  ..............
      4096:   6.258278e-01
 
  The FFT coefficients:
 
         1:   4.968322e-01
         2:  -8.211929e-03
         3:  -1.519711e-04
         4:  -6.790636e-03
         5:   1.035867e-02
         6:  -1.457587e-02
         7:   1.041602e-03
         8:  -1.477348e-02
  ........  ..............
      4096:   2.255165e-03
 
  The retrieved data:
 
         1:   1.521368e-02
         2:   5.242244e-01
         3:   8.093299e-01
         4:   9.166969e-01
         5:   1.497710e-01
         6:   6.490900e-03
         7:   8.190183e-01
         8:   4.000844e-01
  ........  ..............
      4096:   6.260475e-01
 
TEST07
  For real fast cosine transforms, 
  1D, multiple
  COSTMI initializes the transform,
  COSTMF does a forward transform;
  COSTMB does a backward transform.
 
  The number of sequences is LOT =    6
  The length of each sequence is N =   32
  Workspace size LENSAV =       73
 
  Part of the original data:
 
  Col         1             2             3             4             5       
  Row
 
    1   1.544143e-02  8.197565e-01  6.448870e-01  3.536030e-02  9.076281e-01
    2   5.240560e-01  6.474856e-01  6.159995e-01  3.004916e-01  5.055056e-01
    3   8.093007e-01  2.895583e-01  1.031127e-01  3.629781e-01  3.257641e-02
    4   9.167103e-01  6.061282e-01  1.600160e-02  5.735765e-01  5.117874e-01
    5   1.497594e-01  1.958944e-01  9.388652e-01  1.007438e-01  6.110725e-01
 
  Part of the FFT coefficients:
 
  Col         1             2             3             4             5       
  Row
 
    1   4.335204e-01  4.763915e-01  4.605430e-01  4.467144e-01  4.587907e-01
    2   1.117409e-02 -4.038638e-02  1.273646e-01 -3.217935e-02 -3.669486e-02
    3   4.938783e-02  1.211189e-01  1.236721e-02 -4.771496e-02  6.454659e-02
    4   2.167185e-02 -4.442693e-02 -1.240381e-01 -3.456980e-02  4.767627e-02
    5  -2.023005e-02 -8.991857e-02 -7.754773e-02 -5.668926e-02 -7.682096e-02
 
  Part of the retrieved data:
 
  Col         1             2             3             4             5       
  Row
 
    1   1.544257e-02  8.197565e-01  6.448872e-01  3.535950e-02  9.076270e-01
    2   5.240556e-01  6.474858e-01  6.159999e-01  3.004923e-01  5.055057e-01
    3   8.093004e-01  2.895579e-01  1.031129e-01  3.629779e-01  3.257694e-02
    4   9.167090e-01  6.061280e-01  1.600235e-02  5.735762e-01  5.117870e-01
    5   1.497603e-01  1.958945e-01  9.388641e-01  1.007442e-01  6.110725e-01
 
TEST08
  For real fast Fourier transforms, 1D,
  RFFT1I initializes the transform,
  RFFT1F does a forward transform;
  RFFT1B does a backward transform.
 
  The number of data items is N = 4096
  Workspace size LENSAV =     4112
 
  The original data:
 
         1:   1.544143e-02
         2:   5.240560e-01
         3:   8.093007e-01
         4:   9.167103e-01
         5:   1.497594e-01
         6:   6.474625e-03
         7:   8.190278e-01
         8:   4.000864e-01
  ........  ..............
      4096:   6.258278e-01
 
  The FFT coefficients:
 
         1:   4.967891e-01
         2:  -2.365448e-04
         3:  -5.004897e-04
         4:   1.027492e-02
         5:   3.746790e-03
         6:   9.383352e-04
         7:  -3.061651e-03
         8:  -3.086756e-03
  ........  ..............
      4096:   2.180223e-03
 
  The retrieved data:
 
         1:   1.544143e-02
         2:   5.240560e-01
         3:   8.093007e-01
         4:   9.167103e-01
         5:   1.497594e-01
         6:   6.474623e-03
         7:   8.190278e-01
         8:   4.000864e-01
  ........  ..............
      4096:   6.258278e-01
 
TEST09
  For real fast Fourier transforms, 2D,
  RFFT2I initializes the transform,
  RFFT2F does a forward transform;
  RFFT2B does a backward transform.
 
  The L by M data is stored in an 
  LDIM by M array, with
  L =   32
  LDIM =   34
  M =   64
  Workspace size LENSAV =      253
 
  Part of the original data:
 
  Col         1             2             3             4             5       
  Row
 
    1   1.544143e-02  2.895583e-01  9.388652e-01  6.700090e-01  9.890571e-01
    2   5.240560e-01  6.061282e-01  5.069254e-01  8.405598e-01  8.261553e-02
    3   8.093007e-01  1.958944e-01  8.950980e-01  2.895148e-01  5.192075e-01
    4   9.167103e-01  3.978888e-01  9.124581e-01  8.749418e-01  3.207761e-01
    5   1.497594e-01  3.167617e-01  6.823919e-01  1.464994e-01  2.842876e-01
 
  Part of the FFT coefficients:
 
  Col         1             2             3             4             5       
  Row
 
    1   4.935200e-01  1.790724e-03 -9.245379e-04 -7.069174e-03  2.341063e-03
    2  -1.620305e-01 -9.741977e-02 -1.866084e-01  7.509927e-02  9.536813e-02
    3  -4.805362e-02 -2.273623e-02 -2.286220e-01 -2.121189e-01 -1.555431e-01
    4  -1.865061e-02 -4.647318e-02 -8.896423e-02 -7.769167e-04 -1.366722e-02
    5   2.850935e-02  4.841077e-02  1.716703e-02 -7.151920e-02  1.286686e-01
 
  Part of the retrieved data:
 
  Col         1             2             3             4             5       
  Row
 
    1   2.482579e+01 -2.677318e+01  4.896669e+00 -2.017467e+00  1.689149e+01
    2  -5.211763e+00 -2.272017e+01  2.296276e+01  1.689523e+00  1.033316e+01
    3   2.561965e+01 -2.670032e+01  4.663841e+00 -2.017113e+00  1.593252e+01
    4  -5.407808e+00 -2.325503e+01  2.542646e+01  1.601120e+00  1.109495e+01
    5   2.496011e+01 -2.643828e+01  4.290855e+00 -1.837258e+00  1.528294e+01
 
TEST10
  For real fast Fourier transforms, 
  1D, multiple
  RFFTMI initializes the transform,
  RFFTMF does a forward transform;
  RFFTMB does a backward transform.
 
  The number of sequences is LOT =    6
  The length of each sequence is N =   32
  Workspace size LENSAV =       41
 
  Part of the original data:
 
  Col         1             2             3             4             5       
  Row
 
    1   1.544143e-02  8.197565e-01  6.448870e-01  3.536030e-02  9.076281e-01
    2   5.240560e-01  6.474856e-01  6.159995e-01  3.004916e-01  5.055056e-01
    3   8.093007e-01  2.895583e-01  1.031127e-01  3.629781e-01  3.257641e-02
    4   9.167103e-01  6.061282e-01  1.600160e-02  5.735765e-01  5.117874e-01
    5   1.497594e-01  1.958944e-01  9.388652e-01  1.007438e-01  6.110725e-01
 
  Part of the FFT coefficients:
 
  Col         1             2             3             4             5       
  Row
 
    1   4.329756e-01  4.813754e-01  4.581277e-01  4.386824e-01  4.658699e-01
    2   4.496567e-02  1.210363e-01  2.134641e-02 -6.390878e-02  6.988679e-02
    3  -7.051200e-03 -3.860676e-02  1.626172e-01 -6.370456e-03 -5.371577e-02
    4  -2.275003e-02 -9.756715e-02 -8.987674e-02 -7.511895e-02 -4.663404e-02
    5   1.020670e-02 -7.367038e-02 -3.790945e-02 -2.663925e-02  7.467188e-02
 
  Part of the retrieved data:
 
  Col         1             2             3             4             5       
  Row
 
    1   1.544143e-02  8.197565e-01  6.448870e-01  3.536030e-02  9.076281e-01
    2   5.240560e-01  6.474856e-01  6.159995e-01  3.004916e-01  5.055056e-01
    3   8.093007e-01  2.895583e-01  1.031128e-01  3.629781e-01  3.257641e-02
    4   9.167103e-01  6.061282e-01  1.600159e-02  5.735765e-01  5.117874e-01
    5   1.497594e-01  1.958944e-01  9.388652e-01  1.007438e-01  6.110725e-01
 
TEST11
  For real fast sine transforms, 1D,
  SINQ1I initializes the transform,
  SINQ1F does a forward transform;
  SINQ1B does a backward transform.
 
  The number of data items is N = 4096
  Workspace size LENSAV =     8208
 
  The original data:
 
         1:   1.544143e-02
         2:   5.240560e-01
         3:   8.093007e-01
         4:   9.167103e-01
         5:   1.497594e-01
         6:   6.474625e-03
         7:   8.190278e-01
         8:   4.000864e-01
  ........  ..............
      4096:   6.258278e-01
 
  The FFT coefficients:
 
         1:  2.058680e+138
         2:  3.564015e+146
         3: -8.091036e+152
         4: -6.784052e+143
         5:  -2.255603e+03
         6:  -8.040325e-11
         7: -2.475737e+157
         8: -1.476604e-162
  ........  ..............
      4096:  -3.769880e-06
 
  The retrieved data:
 
         1:   3.769880e-06
         2:   1.279434e-04
         3:   1.975832e-04
         4:   2.238062e-04
         5:   3.656236e-05
         6:   1.580719e-06
         7:   1.999580e-04
         8:   9.767734e-05
  ........  ..............
      4096:  1.797693e+308
 
TEST12
  For real fast sine transforms, 1D, multiple
  SINQMI initializes the transform,
  SINQMF does a forward transform;
  SINQMB does a backward transform.
 
  The number of sequences is LOT =    6
  The length of each sequence is N =   32
  Workspace size LENSAV =       73
 
  Part of the original data:
 
  Col         1             2             3             4             5       
  Row
 
    1   1.544143e-02  8.197565e-01  6.448870e-01  3.536030e-02  9.076281e-01
    2   5.240560e-01  6.474856e-01  6.159995e-01  3.004916e-01  5.055056e-01
    3   8.093007e-01  2.895583e-01  1.031127e-01  3.629781e-01  3.257641e-02
    4   9.167103e-01  6.061282e-01  1.600160e-02  5.735765e-01  5.117874e-01
    5   1.497594e-01  1.958944e-01  9.388652e-01  1.007438e-01  6.110725e-01
 
  Part of the FFT coefficients:
 
  Col         1             2             3             4             5       
  Row
 
    1  1.013772e+157-7.855971e+146 5.876501e+143  1.075056e-02  1.446940e-02
    2  -1.758075e+00 -2.558595e+00 -4.903875e+00 -2.946073e-02 -3.024582e-02
    3   2.690015e-12-1.781325e-151 1.391958e+142 -2.962855e-02 -5.772700e-02
    4 -1.034740e+159-1.211577e+155-6.914336e+154 -1.682610e-03 -1.930878e-04
    5  2.700469e+140-4.486440e-150  1.917171e+03 -2.503803e-02 -3.425285e-02
 
  Part of the retrieved data:
 
  Col         1             2             3             4             5       
  Row
 
    1  1.404448e+306 1.404448e+306 1.404448e+306  1.105009e-03  2.836338e-02
    2   1.052271e+03  7.724445e+02  1.076508e+03  9.390363e-03  1.579705e-02
    3   0.000000e+00  0.000000e+00  0.000000e+00  1.134307e-02  1.018013e-03
    4 -2.247118e+307-2.247118e+307-2.247117e+307  1.792427e-02  1.599336e-02
    5  4.008806e-306 2.921295e-306  0.000000e+00  3.148244e-03  1.909602e-02
 
TEST13
  For real fast sine transforms, 1D,
  SINT1I initializes the transform,
  SINT1F does a forward transform;
  SINT1B does a backward transform.
 
  The number of data items is N = 4096
  Workspace size LENSAV =     6160
 
  The original data:
 
         1:   1.544143e-02
         2:   5.240560e-01
         3:   8.093007e-01
         4:   9.167103e-01
         5:   1.497594e-01
         6:   6.474625e-03
         7:   8.190278e-01
         8:   4.000864e-01
  ........  ..............
      4096:   6.258278e-01
 
  The FFT coefficients:
 
         1:   6.317403e-01
         2:  -5.066211e-04
         3:   2.049937e-01
         4:   3.745686e-03
         5:   1.333628e-01
         6:  -3.089169e-03
         7:   9.499257e-02
         8:  -8.871841e-03
  ........  ..............
      4096:   8.372152e-05
 
  The retrieved data:
 
         1:   1.793136e-02
         2:   5.241199e-01
         3:   8.103243e-01
         4:   9.166806e-01
         5:   1.503697e-01
         6:   6.458239e-03
         7:   8.194695e-01
         8:   4.000370e-01
  ........  ..............
      4096:   6.281352e-01
 
TEST14
  For real fast sine transforms, 1D, multiple
  SINTMI initializes the transform,
  SINTMF does a forward transform;
  SINTMB does a backward transform.
 
  The number of sequences is LOT =    6
  The length of each sequence is N =   32
  Workspace size LENSAV =       57
 
  Part of the original data:
 
  Col         1             2             3             4             5       
  Row
 
    1   1.544143e-02  8.197565e-01  6.448870e-01  3.536030e-02  9.076281e-01
    2   5.240560e-01  6.474856e-01  6.159995e-01  3.004916e-01  5.055056e-01
    3   8.093007e-01  2.895583e-01  1.031127e-01  3.629781e-01  3.257641e-02
    4   9.167103e-01  6.061282e-01  1.600160e-02  5.735765e-01  5.117874e-01
    5   1.497594e-01  1.958944e-01  9.388652e-01  1.007438e-01  6.110725e-01
 
  Part of the FFT coefficients:
 
  Col         1             2             3             4             5       
  Row
 
    1   5.357711e-01  5.668813e-01  5.875102e-01  5.903182e-01  5.641288e-01
    2  -3.529250e-03 -2.711475e-02  1.604908e-01 -1.545561e-02 -4.384141e-02
    3   2.320186e-01  3.273027e-01  2.372392e-01  1.753053e-01  2.695781e-01
    4   4.551533e-03 -8.266398e-02 -5.869332e-02 -4.268725e-02  6.095848e-02
    5   9.918996e-02  4.960547e-02  6.792102e-02  7.029730e-02  4.640442e-02
 
  Part of the retrieved data:
 
  Col         1             2             3             4             5       
  Row
 
    1   1.544159e-02  8.197559e-01  6.448855e-01  3.535891e-02  9.076275e-01
    2   5.240559e-01  6.474858e-01  6.160001e-01  3.004923e-01  5.055059e-01
    3   8.093007e-01  2.895582e-01  1.031127e-01  3.629781e-01  3.257628e-02
    4   9.167101e-01  6.061284e-01  1.600206e-02  5.735768e-01  5.117877e-01
    5   1.497596e-01  1.958945e-01  9.388651e-01  1.007436e-01  6.110725e-01
 
fftpack5.1_test():
  Normal end of execution.
 
rc= 0
** fftpack/fftpack51s-test.f
 
fftpack5.1_test():
  FORTRAN77 version
  Test fftpack5.1().
 
TEST01
  For complex fast Fourier transforms, 1D,
  CFFT1I initializes the transform,
  CFFT1F does a forward transform;
  CFFT1B does a backward transform.
 
  The number of data items is N = 4096
  Workspace size LENSAV =     8208
 
  The original data:
 
         1:  -1.228468e-01   -1.871080e-02
         2:   7.792096e-01   -4.495922e-01
         3:   3.866674e-01    1.573881e-02
         4:  -7.324502e-01    5.315491e-01
         5:   2.972862e-01    4.042642e-01
         6:   2.896340e-01   -7.521377e-01
         7:   1.715879e-01    6.820450e-01
         8:   5.642492e-01    4.017819e-01
  ........  ..............  ..............
      4096:   2.785089e-02    3.264577e-01
 
  The FFT coefficients:
 
         1:  -7.791712e-04   -1.697664e-03
         2:   2.691709e-03    1.711167e-02
         3:  -9.850166e-04   -5.571892e-03
         4:   7.834265e-03    4.724660e-03
         5:  -1.286497e-02    1.580526e-03
         6:   1.313720e-03    2.002341e-02
         7:   1.241405e-02    1.976440e-03
         8:   1.075365e-03   -1.011860e-03
  ........  ..............  ..............
      4096:  -6.116061e-03    5.464671e-03
 
  The retrieved data:
 
         1:  -1.228467e-01   -1.871076e-02
         2:   7.792096e-01   -4.495921e-01
         3:   3.866673e-01    1.573879e-02
         4:  -7.324501e-01    5.315492e-01
         5:   2.972864e-01    4.042642e-01
         6:   2.896340e-01   -7.521375e-01
         7:   1.715879e-01    6.820452e-01
         8:   5.642493e-01    4.017818e-01
  ........  ..............  ..............
      4096:   2.785084e-02    3.264576e-01
 
TEST02
  For complex fast Fourier transforms, 2D,
  CFFT2I initializes the transform,
  CFFT2F does a forward transform;
  CFFT2B does a backward transform.
 
  The data is stored in an L by M array, with
  L =   32
  M =   64
  Workspace size LENSAV =      211
 
  Part of the original data:
 
  Col:          1                   2                   3                   4          
  Row
  ---
    1 -1.228e-01-1.871e-02-5.990e-01-5.348e-01-9.521e-01-3.295e-02 7.241e-01 2.293e-01
    2  7.792e-01-4.496e-01 3.195e-01 3.223e-02-1.800e-01-1.336e-02 5.276e-01 3.101e-02
    3  3.867e-01 1.574e-02-9.680e-01-4.215e-02-2.232e-01 7.492e-01-1.718e-01 1.359e-01
    4 -7.325e-01 5.315e-01 8.065e-01-4.945e-01 4.580e-01-5.175e-02 6.202e-01 6.435e-01
    5  2.973e-01 4.043e-01 8.024e-01-1.963e-01 8.635e-01 4.934e-01-5.743e-01 1.719e-01
 
  Col:          5          
  Row
  ---
    1 -5.676e-03-7.491e-01
    2 -3.997e-02 9.900e-01
    3  8.095e-01 2.121e-01
    4 -8.470e-02 7.332e-01
    5  3.779e-01 4.886e-01
 
  Part of the FFT coefficients:
 
  Col:          1                   2                   3                   4          
  Row
  ---
    1 -1.169e-02 7.040e-03 3.606e-03 9.515e-05-1.935e-02-4.414e-03 2.804e-02 5.250e-03
    2  1.547e-02 1.397e-03-5.956e-03 6.147e-03 3.199e-03-1.329e-03 9.904e-03 1.175e-02
    3  9.261e-03 6.592e-03 1.391e-02 5.865e-03 1.205e-03-1.423e-03-8.495e-03-1.036e-03
    4  9.780e-03 5.867e-03-2.201e-03 1.145e-04-3.989e-04 9.938e-03-2.876e-03 7.857e-03
    5 -1.161e-02 8.162e-03-6.042e-03-2.095e-02-2.438e-02 4.868e-03 9.960e-03-5.321e-03
 
  Col:          5          
  Row
  ---
    1 -5.810e-03-4.373e-03
    2 -3.787e-03-2.489e-02
    3  3.537e-03-9.193e-03
    4 -2.679e-02 9.208e-03
    5 -1.427e-03 8.370e-03
 
  Part of the retrieved data:
 
  Col:          1                   2                   3                   4          
  Row
  ---
    1 -1.228e-01-1.871e-02-5.990e-01-5.348e-01-9.521e-01-3.295e-02 7.241e-01 2.293e-01
    2  7.792e-01-4.496e-01 3.195e-01 3.223e-02-1.800e-01-1.336e-02 5.276e-01 3.101e-02
    3  3.867e-01 1.574e-02-9.680e-01-4.215e-02-2.232e-01 7.492e-01-1.718e-01 1.359e-01
    4 -7.325e-01 5.315e-01 8.065e-01-4.945e-01 4.580e-01-5.175e-02 6.202e-01 6.435e-01
    5  2.973e-01 4.043e-01 8.024e-01-1.963e-01 8.635e-01 4.934e-01-5.743e-01 1.719e-01
 
  Col:          5          
  Row
  ---
    1 -5.676e-03-7.491e-01
    2 -3.997e-02 9.900e-01
    3  8.095e-01 2.121e-01
    4 -8.470e-02 7.332e-01
    5  3.779e-01 4.886e-01
 
TEST03
  For complex fast Fourier transforms,
  1D, multiple
  CFFTMI initializes the transform,
  CFFTMF does a forward transform;
  CFFTMB does a backward transform.
 
  The number of sequences is LOT =    6
  The length of each sequence is N =   32
  Workspace size LENSAV =       73
 
  Part of the original data:
 
  Col:          1                   2                   3                   4          
  Row
  ---
    1 -1.228e-01-1.871e-02-5.990e-01-5.348e-01-9.521e-01-3.295e-02 7.241e-01 2.293e-01
    2  7.792e-01-4.496e-01 3.195e-01 3.223e-02-1.800e-01-1.336e-02 5.276e-01 3.101e-02
    3  3.867e-01 1.574e-02-9.680e-01-4.215e-02-2.232e-01 7.492e-01-1.718e-01 1.359e-01
    4 -7.325e-01 5.315e-01 8.065e-01-4.945e-01 4.580e-01-5.175e-02 6.202e-01 6.435e-01
    5  2.973e-01 4.043e-01 8.024e-01-1.963e-01 8.635e-01 4.934e-01-5.743e-01 1.719e-01
 
  Col:          5          
  Row
  ---
    1 -5.676e-03-7.491e-01
    2 -3.997e-02 9.900e-01
    3  8.095e-01 2.121e-01
    4 -8.470e-02 7.332e-01
    5  3.779e-01 4.886e-01
 
  Part of the FFT coefficients:
 
  Col:          1                   2                   3                   4          
  Row
  ---
    1 -1.328e-01 3.489e-02-1.026e-01 5.821e-02-5.666e-02 1.702e-01 1.072e-01-2.085e-02
    2  2.731e-02-1.092e-01-5.127e-02-1.189e-01-7.121e-02 2.090e-02 7.512e-02 1.010e-01
    3 -7.854e-02-7.278e-02-6.710e-02-1.151e-01 5.246e-02-7.685e-02 7.264e-02 3.180e-03
    4  1.268e-03 8.209e-03 8.000e-03 7.360e-02-8.453e-02-2.642e-02 9.778e-02 1.137e-01
    5 -6.010e-02-1.343e-01-1.453e-01-2.028e-02-5.524e-02-1.105e-01-8.391e-02 7.648e-02
 
  Col:          5          
  Row
  ---
    1  2.441e-02 1.705e-01
    2  2.241e-01 1.331e-01
    3  1.757e-01 1.374e-01
    4 -1.456e-01-9.568e-02
    5 -4.203e-02-4.520e-02
 
  Part of the retrieved data:
 
  Col:          1                   2                   3                   4          
  Row
  ---
    1 -1.228e-01-1.871e-02-5.990e-01-5.348e-01-9.521e-01-3.295e-02 7.241e-01 2.293e-01
    2  7.792e-01-4.496e-01 3.195e-01 3.223e-02-1.800e-01-1.336e-02 5.276e-01 3.101e-02
    3  3.867e-01 1.574e-02-9.680e-01-4.215e-02-2.232e-01 7.492e-01-1.718e-01 1.359e-01
    4 -7.325e-01 5.315e-01 8.065e-01-4.945e-01 4.580e-01-5.175e-02 6.202e-01 6.435e-01
    5  2.973e-01 4.043e-01 8.024e-01-1.963e-01 8.635e-01 4.934e-01-5.743e-01 1.719e-01
 
  Col:          5          
  Row
  ---
    1 -5.676e-03-7.491e-01
    2 -3.997e-02 9.900e-01
    3  8.095e-01 2.121e-01
    4 -8.470e-02 7.332e-01
    5  3.779e-01 4.886e-01
 
TEST04
  For real fast cosine transforms, 1D,
  COSQ1I initializes the transform,
  COSQ1F does a forward transform;
  COSQ1B does a backward transform.
 
  The number of data items is N = 4096
  Workspace size LENSAV =     8208
 
  The original data:
 
         1:   1.544143e-02
         2:   5.240560e-01
         3:   8.093007e-01
         4:   9.167103e-01
         5:   1.497594e-01
         6:   6.474625e-03
         7:   8.190278e-01
         8:   4.000864e-01
  ........  ..............
      4096:   6.258278e-01
 
  The FFT coefficients:
 
         1:   6.283191e-01
         2:  -2.144524e-01
         3:   1.211894e-01
         4:  -8.655626e-02
         5:   6.924143e-02
         6:  -6.774490e-02
         7:   4.607677e-02
         8:  -5.603608e-02
  ........  ..............
      4096:   2.900243e-03
 
  The retrieved data:
 
         1:   1.544136e-02
         2:   5.240560e-01
         3:   8.093008e-01
         4:   9.167103e-01
         5:   1.497593e-01
         6:   6.474644e-03
         7:   8.190278e-01
         8:   4.000865e-01
  ........  ..............
      4096:   6.258276e-01
 
TEST05
  For real fast cosine transforms, 
  1D, multiple
  COSQMI initializes the transform,
  COSQMF does a forward transform;
  COSQMB does a backward transform.
 
  The number of sequences is LOT =    6
  The length of each sequence is N =   32
  Workspace size LENSAV =       73
 
  Part of the original data:
 
  Col         1             2             3             4             5       
  Row
 
    1   1.544143e-02  8.197565e-01  6.448870e-01  3.536030e-02  9.076281e-01
    2   5.240560e-01  6.474856e-01  6.159995e-01  3.004916e-01  5.055056e-01
    3   8.093007e-01  2.895583e-01  1.031127e-01  3.629781e-01  3.257641e-02
    4   9.167103e-01  6.061282e-01  1.600160e-02  5.735765e-01  5.117874e-01
    5   1.497594e-01  1.958944e-01  9.388652e-01  1.007438e-01  6.110725e-01
 
  Part of the FFT coefficients:
 
  Col         1             2             3             4             5       
  Row
 
    1   5.540786e-01  5.818251e-01  6.323565e-01  5.601194e-01  5.663158e-01
    2  -1.576761e-01 -1.789256e-01 -7.725947e-02 -2.375673e-01 -1.999137e-01
    3   1.615073e-01  2.225275e-01  4.306407e-02  8.008134e-02  2.014770e-01
    4  -8.714887e-02 -2.063382e-01 -1.953692e-01 -1.304874e-01 -8.502726e-02
    5   6.079677e-02  5.127163e-02  1.652646e-02  3.175736e-02 -4.386165e-02
 
  Part of the retrieved data:
 
  Col         1             2             3             4             5       
  Row
 
    1   1.544142e-02  8.197564e-01  6.448871e-01  3.536025e-02  9.076282e-01
    2   5.240560e-01  6.474856e-01  6.159995e-01  3.004916e-01  5.055056e-01
    3   8.093007e-01  2.895583e-01  1.031128e-01  3.629782e-01  3.257643e-02
    4   9.167103e-01  6.061281e-01  1.600161e-02  5.735765e-01  5.117874e-01
    5   1.497594e-01  1.958944e-01  9.388653e-01  1.007438e-01  6.110725e-01
 
TEST06
  For real fast cosine transforms, 1D,
  COST1I initializes the transform,
  COST1F does a forward transform;
  COST1B does a backward transform.
 
  The number of data items is N = 4096
  Workspace size LENSAV =     8208
 
  The original data:
 
         1:   1.544143e-02
         2:   5.240560e-01
         3:   8.093007e-01
         4:   9.167103e-01
         5:   1.497594e-01
         6:   6.474625e-03
         7:   8.190278e-01
         8:   4.000864e-01
  ........  ..............
      4096:   6.258278e-01
 
  The FFT coefficients:
 
         1:   4.968322e-01
         2:  -8.211929e-03
         3:  -1.519712e-04
         4:  -6.790634e-03
         5:   1.035867e-02
         6:  -1.457587e-02
         7:   1.041600e-03
         8:  -1.477348e-02
  ........  ..............
      4096:   2.255148e-03
 
  The retrieved data:
 
         1:   1.520580e-02
         2:   5.242286e-01
         3:   8.093255e-01
         4:   9.167063e-01
         5:   1.497719e-01
         6:   6.497049e-03
         7:   8.190184e-01
         8:   4.000898e-01
  ........  ..............
      4096:   6.260560e-01
 
TEST07
  For real fast cosine transforms, 
  1D, multiple
  COSTMI initializes the transform,
  COSTMF does a forward transform;
  COSTMB does a backward transform.
 
  The number of sequences is LOT =    6
  The length of each sequence is N =   32
  Workspace size LENSAV =       73
 
  Part of the original data:
 
  Col         1             2             3             4             5       
  Row
 
    1   1.544143e-02  8.197565e-01  6.448870e-01  3.536030e-02  9.076281e-01
    2   5.240560e-01  6.474856e-01  6.159995e-01  3.004916e-01  5.055056e-01
    3   8.093007e-01  2.895583e-01  1.031127e-01  3.629781e-01  3.257641e-02
    4   9.167103e-01  6.061282e-01  1.600160e-02  5.735765e-01  5.117874e-01
    5   1.497594e-01  1.958944e-01  9.388652e-01  1.007438e-01  6.110725e-01
 
  Part of the FFT coefficients:
 
  Col         1             2             3             4             5       
  Row
 
    1   4.335204e-01  4.763915e-01  4.605430e-01  4.467144e-01  4.587907e-01
    2   1.117409e-02 -4.038638e-02  1.273646e-01 -3.217935e-02 -3.669485e-02
    3   4.938782e-02  1.211188e-01  1.236724e-02 -4.771493e-02  6.454661e-02
    4   2.167184e-02 -4.442693e-02 -1.240381e-01 -3.456980e-02  4.767627e-02
    5  -2.023006e-02 -8.991856e-02 -7.754772e-02 -5.668927e-02 -7.682097e-02
 
  Part of the retrieved data:
 
  Col         1             2             3             4             5       
  Row
 
    1   1.544271e-02  8.197564e-01  6.448873e-01  3.535907e-02  9.076269e-01
    2   5.240555e-01  6.474857e-01  6.159998e-01  3.004925e-01  5.055057e-01
    3   8.093002e-01  2.895578e-01  1.031129e-01  3.629780e-01  3.257702e-02
    4   9.167089e-01  6.061280e-01  1.600244e-02  5.735763e-01  5.117871e-01
    5   1.497603e-01  1.958944e-01  9.388641e-01  1.007443e-01  6.110725e-01
 
TEST08
  For real fast Fourier transforms, 1D,
  RFFT1I initializes the transform,
  RFFT1F does a forward transform;
  RFFT1B does a backward transform.
 
  The number of data items is N = 4096
  Workspace size LENSAV =     4112
 
  The original data:
 
         1:   1.544143e-02
         2:   5.240560e-01
         3:   8.093007e-01
         4:   9.167103e-01
         5:   1.497594e-01
         6:   6.474625e-03
         7:   8.190278e-01
         8:   4.000864e-01
  ........  ..............
      4096:   6.258278e-01
 
  The FFT coefficients:
 
         1:   4.967891e-01
         2:  -2.365452e-04
         3:  -5.004896e-04
         4:   1.027492e-02
         5:   3.746789e-03
         6:   9.383352e-04
         7:  -3.061651e-03
         8:  -3.086757e-03
  ........  ..............
      4096:   2.180234e-03
 
  The retrieved data:
 
         1:   1.544139e-02
         2:   5.240561e-01
         3:   8.093007e-01
         4:   9.167103e-01
         5:   1.497594e-01
         6:   6.474763e-03
         7:   8.190277e-01
         8:   4.000863e-01
  ........  ..............
      4096:   6.258278e-01
 
TEST09
  For real fast Fourier transforms, 2D,
  RFFT2I initializes the transform,
  RFFT2F does a forward transform;
  RFFT2B does a backward transform.
 
  The L by M data is stored in an 
  LDIM by M array, with
  L =   32
  LDIM =   34
  M =   64
  Workspace size LENSAV =      253
 
  Part of the original data:
 
  Col         1             2             3             4             5       
  Row
 
    1   1.544143e-02  2.895583e-01  9.388652e-01  6.700090e-01  9.890571e-01
    2   5.240560e-01  6.061282e-01  5.069254e-01  8.405598e-01  8.261553e-02
    3   8.093007e-01  1.958944e-01  8.950980e-01  2.895148e-01  5.192075e-01
    4   9.167103e-01  3.978888e-01  9.124581e-01  8.749418e-01  3.207761e-01
    5   1.497594e-01  3.167617e-01  6.823919e-01  1.464994e-01  2.842876e-01
 
  Part of the FFT coefficients:
 
  Col         1             2             3             4             5       
  Row
 
    1   4.935200e-01  1.790725e-03 -9.245388e-04 -7.069176e-03  2.341063e-03
    2   6.959524e-04  8.439255e-03  9.581808e-04 -4.028394e-03  3.711266e-03
    3   2.152503e-03 -1.197615e-03 -3.712994e-03  9.641644e-03 -1.458950e-03
    4  -4.563855e-03 -4.213371e-03 -5.222340e-04 -3.661542e-03 -3.340445e-04
    5  -6.058487e-03  1.520342e-03 -6.975897e-03 -4.932304e-03 -2.691143e-03
 
  Part of the retrieved data:
 
  Col         1             2             3             4             5       
  Row
 
    1   1.544143e-02  2.895582e-01  9.388652e-01  6.700090e-01  9.890569e-01
    2   5.240560e-01  6.061282e-01  5.069255e-01  8.405598e-01  8.261558e-02
    3   8.093007e-01  1.958945e-01  8.950980e-01  2.895148e-01  5.192077e-01
    4   9.167102e-01  3.978887e-01  9.124581e-01  8.749417e-01  3.207762e-01
    5   1.497594e-01  3.167617e-01  6.823920e-01  1.464994e-01  2.842877e-01
 
TEST10
  For real fast Fourier transforms, 
  1D, multiple
  RFFTMI initializes the transform,
  RFFTMF does a forward transform;
  RFFTMB does a backward transform.
 
  The number of sequences is LOT =    6
  The length of each sequence is N =   32
  Workspace size LENSAV =       41
 
  Part of the original data:
 
  Col         1             2             3             4             5       
  Row
 
    1   1.544143e-02  8.197565e-01  6.448870e-01  3.536030e-02  9.076281e-01
    2   5.240560e-01  6.474856e-01  6.159995e-01  3.004916e-01  5.055056e-01
    3   8.093007e-01  2.895583e-01  1.031127e-01  3.629781e-01  3.257641e-02
    4   9.167103e-01  6.061282e-01  1.600160e-02  5.735765e-01  5.117874e-01
    5   1.497594e-01  1.958944e-01  9.388652e-01  1.007438e-01  6.110725e-01
 
  Part of the FFT coefficients:
 
  Col         1             2             3             4             5       
  Row
 
    1   4.329756e-01  4.813754e-01  4.581277e-01  4.386824e-01  4.658699e-01
    2   4.496567e-02  1.210363e-01  2.134641e-02 -6.390879e-02  6.988679e-02
    3  -7.051200e-03 -3.860677e-02  1.626172e-01 -6.370464e-03 -5.371577e-02
    4  -2.275003e-02 -9.756715e-02 -8.987675e-02 -7.511894e-02 -4.663404e-02
    5   1.020670e-02 -7.367036e-02 -3.790945e-02 -2.663924e-02  7.467189e-02
 
  Part of the retrieved data:
 
  Col         1             2             3             4             5       
  Row
 
    1   1.544143e-02  8.197564e-01  6.448870e-01  3.536031e-02  9.076282e-01
    2   5.240561e-01  6.474855e-01  6.159995e-01  3.004917e-01  5.055056e-01
    3   8.093007e-01  2.895582e-01  1.031128e-01  3.629782e-01  3.257647e-02
    4   9.167101e-01  6.061282e-01  1.600161e-02  5.735765e-01  5.117874e-01
    5   1.497594e-01  1.958944e-01  9.388652e-01  1.007438e-01  6.110726e-01
 
TEST11
  For real fast sine transforms, 1D,
  SINQ1I initializes the transform,
  SINQ1F does a forward transform;
  SINQ1B does a backward transform.
 
  The number of data items is N = 4096
  Workspace size LENSAV =     8208
 
  The original data:
 
         1:   1.544143e-02
         2:   5.240560e-01
         3:   8.093007e-01
         4:   9.167103e-01
         5:   1.497594e-01
         6:   6.474625e-03
         7:   8.190278e-01
         8:   4.000864e-01
  ........  ..............
      4096:   6.258278e-01
 
  The FFT coefficients:
 
         1:   6.364450e-01
         2:   2.059502e-01
         3:   1.281620e-01
         4:   8.166932e-02
         5:   8.499397e-02
         6:   5.128791e-02
         7:   5.646404e-02
         8:   3.412773e-02
  ........  ..............
      4096:   1.702070e-03
 
  The retrieved data:
 
         1:   1.544140e-02
         2:   5.240561e-01
         3:   8.093007e-01
         4:   9.167102e-01
         5:   1.497593e-01
         6:   6.474555e-03
         7:   8.190278e-01
         8:   4.000864e-01
  ........  ..............
      4096:   6.258277e-01
 
TEST12
  For real fast sine transforms, 1D, multiple
  SINQMI initializes the transform,
  SINQMF does a forward transform;
  SINQMB does a backward transform.
 
  The number of sequences is LOT =    6
  The length of each sequence is N =   32
  Workspace size LENSAV =       73
 
  Part of the original data:
 
  Col         1             2             3             4             5       
  Row
 
    1   1.544143e-02  8.197565e-01  6.448870e-01  3.536030e-02  9.076281e-01
    2   5.240560e-01  6.474856e-01  6.159995e-01  3.004916e-01  5.055056e-01
    3   8.093007e-01  2.895583e-01  1.031127e-01  3.629781e-01  3.257641e-02
    4   9.167103e-01  6.061282e-01  1.600160e-02  5.735765e-01  5.117874e-01
    5   1.497594e-01  1.958944e-01  9.388652e-01  1.007438e-01  6.110725e-01
 
  Part of the FFT coefficients:
 
  Col         1             2             3             4             5       
  Row
 
    1   5.428283e-01  6.139966e-01  5.412783e-01  5.872421e-01  5.933256e-01
    2   1.665033e-01  1.184914e-01  3.117507e-01  1.941236e-01  1.345627e-01
    3   1.414538e-01  2.252971e-01  2.330005e-01  9.094972e-02  1.468857e-01
    4   1.127655e-01  9.486061e-02  4.808269e-02  6.044733e-02  1.707481e-01
    5   3.993892e-02 -4.783202e-02 -7.765722e-04 -1.361493e-03  4.974616e-02
 
  Part of the retrieved data:
 
  Col         1             2             3             4             5       
  Row
 
    1   1.544145e-02  8.197564e-01  6.448870e-01  3.536028e-02  9.076280e-01
    2   5.240560e-01  6.474854e-01  6.159993e-01  3.004916e-01  5.055057e-01
    3   8.093005e-01  2.895584e-01  1.031128e-01  3.629781e-01  3.257650e-02
    4   9.167103e-01  6.061282e-01  1.600167e-02  5.735766e-01  5.117874e-01
    5   1.497594e-01  1.958944e-01  9.388652e-01  1.007438e-01  6.110725e-01
 
TEST13
  For real fast sine transforms, 1D,
  SINT1I initializes the transform,
  SINT1F does a forward transform;
  SINT1B does a backward transform.
 
  The number of data items is N = 4096
  Workspace size LENSAV =     6160
 
  The original data:
 
         1:   1.544143e-02
         2:   5.240560e-01
         3:   8.093007e-01
         4:   9.167103e-01
         5:   1.497594e-01
         6:   6.474625e-03
         7:   8.190278e-01
         8:   4.000864e-01
  ........  ..............
      4096:   6.258278e-01
 
  The FFT coefficients:
 
         1:   6.317403e-01
         2:  -5.066197e-04
         3:   2.049938e-01
         4:   3.745687e-03
         5:   1.333629e-01
         6:  -3.089169e-03
         7:   9.499264e-02
         8:  -8.871840e-03
  ........  ..............
      4096:   8.371943e-05
 
  The retrieved data:
 
         1:   1.809035e-02
         2:   5.240801e-01
         3:   8.103785e-01
         4:   9.166436e-01
         5:   1.504108e-01
         6:   6.444123e-03
         7:   8.194957e-01
         8:   4.000176e-01
  ........  ..............
      4096:   6.282941e-01
 
TEST14
  For real fast sine transforms, 1D, multiple
  SINTMI initializes the transform,
  SINTMF does a forward transform;
  SINTMB does a backward transform.
 
  The number of sequences is LOT =    6
  The length of each sequence is N =   32
  Workspace size LENSAV =       57
 
  Part of the original data:
 
  Col         1             2             3             4             5       
  Row
 
    1   1.544143e-02  8.197565e-01  6.448870e-01  3.536030e-02  9.076281e-01
    2   5.240560e-01  6.474856e-01  6.159995e-01  3.004916e-01  5.055056e-01
    3   8.093007e-01  2.895583e-01  1.031127e-01  3.629781e-01  3.257641e-02
    4   9.167103e-01  6.061282e-01  1.600160e-02  5.735765e-01  5.117874e-01
    5   1.497594e-01  1.958944e-01  9.388652e-01  1.007438e-01  6.110725e-01
 
  Part of the FFT coefficients:
 
  Col         1             2             3             4             5       
  Row
 
    1   5.357711e-01  5.668813e-01  5.875101e-01  5.903182e-01  5.641288e-01
    2  -3.529247e-03 -2.711476e-02  1.604908e-01 -1.545561e-02 -4.384141e-02
    3   2.320186e-01  3.273026e-01  2.372392e-01  1.753052e-01  2.695781e-01
    4   4.551541e-03 -8.266398e-02 -5.869333e-02 -4.268726e-02  6.095848e-02
    5   9.918995e-02  4.960541e-02  6.792098e-02  7.029728e-02  4.640442e-02
 
  Part of the retrieved data:
 
  Col         1             2             3             4             5       
  Row
 
    1   1.544097e-02  8.197551e-01  6.448851e-01  3.535859e-02  9.076275e-01
    2   5.240562e-01  6.474859e-01  6.160002e-01  3.004925e-01  5.055059e-01
    3   8.093007e-01  2.895580e-01  1.031125e-01  3.629779e-01  3.257638e-02
    4   9.167102e-01  6.061284e-01  1.600214e-02  5.735769e-01  5.117876e-01
    5   1.497595e-01  1.958944e-01  9.388649e-01  1.007436e-01  6.110725e-01
 
fftpack5.1_test():
  Normal end of execution.
 
rc= 0
** lapack/dgesdd-test.f
a: 4x5 matrix
 1.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  2.000000e+00 
 0.000000e+00  0.000000e+00  3.000000e+00  0.000000e+00  0.000000e+00 
 0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00 
 0.000000e+00  2.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00 
s: 4x1 matrix
 3.000000e+00 
 2.236068e+00 
 2.000000e+00 
 0.000000e+00 
U: 4x4 matrix
 0.000000e+00  1.000000e+00  0.000000e+00  0.000000e+00 
 1.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00 
 0.000000e+00  0.000000e+00  0.000000e+00 -1.000000e+00 
 0.000000e+00  0.000000e+00  1.000000e+00  0.000000e+00 
S: 4x5 matrix
 3.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00 
 0.000000e+00  2.236068e+00  0.000000e+00  0.000000e+00  0.000000e+00 
 0.000000e+00  0.000000e+00  2.000000e+00  0.000000e+00  0.000000e+00 
 0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00 
V^T: 5x5 matrix
 0.000000e+00  0.000000e+00  1.000000e+00  0.000000e+00  0.000000e+00 
 4.472136e-01  0.000000e+00  0.000000e+00  0.000000e+00  8.944272e-01 
 0.000000e+00  1.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00 
 0.000000e+00  0.000000e+00  0.000000e+00  1.000000e+00  0.000000e+00 
-8.944272e-01  0.000000e+00  0.000000e+00  0.000000e+00  4.472136e-01 
UU^T: 4x4 matrix
 1.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00 
 0.000000e+00  1.000000e+00  0.000000e+00  0.000000e+00 
 0.000000e+00  0.000000e+00  1.000000e+00  0.000000e+00 
 0.000000e+00  0.000000e+00  0.000000e+00  1.000000e+00 
VV^T: 5x5 matrix
 1.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00 
 0.000000e+00  1.000000e+00  0.000000e+00  0.000000e+00  2.220446e-16 
 0.000000e+00  0.000000e+00  1.000000e+00  0.000000e+00  0.000000e+00 
 0.000000e+00  0.000000e+00  0.000000e+00  1.000000e+00  0.000000e+00 
 0.000000e+00  2.220446e-16  0.000000e+00  0.000000e+00  1.000000e+00 
USV^T: 4x5 matrix
 1.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  2.000000e+00 
 0.000000e+00  0.000000e+00  3.000000e+00  0.000000e+00  0.000000e+00 
 0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00 
 0.000000e+00  2.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00 
rc= 0
** lapack/pinv1.f
A: 2x3 matrix
 2.000000e+00 -1.000000e+00  0.000000e+00 
 4.000000e+00  3.000000e+00 -2.000000e+00 
s: 2x1 matrix
 5.477226e+00 
 2.000000e+00 
U: 2x2 matrix
 1.961161e-01  9.805807e-01 
 9.805807e-01 -1.961161e-01 
S: 2x3 matrix
 5.477226e+00  0.000000e+00  0.000000e+00 
 0.000000e+00  2.000000e+00  0.000000e+00 
V^T: 3x3 matrix
 7.877263e-01  5.012804e-01 -3.580574e-01 
 5.883484e-01 -7.844645e-01  1.961161e-01 
 1.825742e-01  3.651484e-01  9.128709e-01 
UU^T: 2x2 matrix
 1.000000e+00  1.110223e-16 
 1.110223e-16  1.000000e+00 
VV^T: 3x3 matrix
 1.000000e+00 -1.526557e-16  5.551115e-17 
-1.526557e-16  1.000000e+00  0.000000e+00 
 5.551115e-17  0.000000e+00  1.000000e+00 
USV^T: 2x3 matrix
 2.000000e+00 -1.000000e+00 -3.885781e-16 
 4.000000e+00  3.000000e+00 -2.000000e+00 
S+: 3x2 matrix
 1.825742e-01  0.000000e+00 
 0.000000e+00  5.000000e-01 
 0.000000e+00  0.000000e+00 
VS+: 3x2 matrix
 1.438185e-01  2.941742e-01 
 9.152086e-02 -3.922323e-01 
-6.537204e-02  9.805807e-02 
U: 2x2 matrix
 1.961161e-01  9.805807e-01 
 9.805807e-01 -1.961161e-01 
A+: 3x2 matrix
 3.166667e-01  8.333334e-02 
-3.666667e-01  1.666667e-01 
 8.333334e-02 -8.333334e-02 
AA+: 2x2 matrix
 1.000000e+00  4.625929e-18 
-6.661338e-16  1.000000e+00 
rc= 0
** linpack/benchmark-1.f
 
  the linpack benchmark.
  language: fortran77
  datatype: double precision
  matrix order n =                   1000
  leading matrix dimension lda =     1001
     norm. resid      resid           machep         x(1)          x(n)
  6.49150133e+00  7.20701276e-13  2.22044605e-16  1.00000000e+00  1.00000000e+00
      factor     solve      total     mflops       unit      ratio
  1.864e-01  1.092e-03  1.875e-01  3.567e+03  5.607e-04  3.347e+00
rc= 0
** linpack/benchmark-2.f
 
  the linpack benchmark.
  language: fortran77
  datatype: double precision
  matrix order n =                   1000
  leading matrix dimension lda =     1001
     norm. resid      resid           machep         x(1)          x(n)
  6.49150133e+00  7.20701276e-13  2.22044605e-16  1.00000000e+00  1.00000000e+00
      factor     solve      total     mflops       unit      ratio
  1.755e-01  8.660e-04  1.764e-01  3.792e+03  5.275e-04  3.149e+00
rc= 0
** linpack/benchmark-3.f
 
  the linpack benchmark.
  language: fortran77
  datatype: double precision
  matrix order n =                   1000
  leading matrix dimension lda =     1001
 2.220446049250313e-16
 2.220446049250313e-16
     norm. resid      resid           machep         x(1)          x(n)
  6.49150133e+00  7.20701276e-13  2.22044605e-16  1.00000000e+00  1.00000000e+00
      factor     solve      total     mflops       unit      ratio
  1.692e-01  7.320e-04  1.700e-01  3.934e+03  5.084e-04  3.035e+00
rc= 0
** linpack/b-linpack-c-test.f
 
linpack_c_test():
  FORTRAN77 version
  Test linpack_c().
 
TEST01
  For a complex Hermitian 
  positive definite matrix,
  CCHDC computes the Cholesky decomposition.
 
  The number of equations is N =        3
 
  The matrix A:
 
      2.5281    0.0000    2.1341   -0.2147    2.4187    0.2932
      2.1341    0.2147    3.0371    0.0000    2.0905    1.1505
      2.4187   -0.2932    2.0905   -1.1505    2.7638    0.0000
 
  Decompose the matrix.
 
  The Cholesky factor U:
 
      1.5900    0.0000    1.3422   -0.1350    1.5212    0.1844
      0.0000    0.0000    1.1033    0.0000    0.0668    0.6322
      0.0000    0.0000    0.0000    0.0000    0.1076    0.0000
 
  The product U^H * U: 
 
      2.5281    0.0000    2.1341   -0.2147    2.4187    0.2932
      2.1341    0.2147    3.0371    0.0000    2.0905    1.1505
      2.4187   -0.2932    2.0905   -1.1505    2.7638    0.0000
 
TEST02
  For a complex Hermitian
  positive definite matrix,
  CCHEX can shift columns in a Cholesky factorization.
 
  The number of equations is N =        3
 
  The matrix A:
 
      2.5281    0.0000    2.1341   -0.2147    2.4187    0.2932
      2.1341    0.2147    3.0371    0.0000    2.0905    1.1505
      2.4187   -0.2932    2.0905   -1.1505    2.7638    0.0000
 
  The vector Z:
 
    1.000000e+00  0.000000e+00
    2.000000e+00  0.000000e+00
    3.000000e+00  0.000000e+00
 
  Decompose the matrix.
 
  The Cholesky factor U:
 
      1.5900    0.0000    1.3422   -0.1350    1.5212    0.1844
      0.0000    0.0000    1.1033    0.0000    0.0668    0.6322
      0.0000    0.0000    0.0000    0.0000    0.1076    0.0000
 
  Right circular shift columns K  =        1 through L =        3
 
  Left circular shift columns K+1 =        2 through L =        3
 
  The shifted Cholesky factor U:
 
      1.6504    0.2001    1.3316   -0.5357    1.4655    0.0000
      0.0000    0.0000    0.8500   -0.5045   -0.1357   -0.5905
      0.0000    0.0000    0.0000    0.0000   -0.1051   -0.0463
 
  The shifted vector Z:
 
    1.285653e+00 -7.220654e-01
    1.472224e+00 -3.939390e-01
    3.081927e+00  6.938028e-02
 
  The shifted product U' * U: 
 
      2.7638    0.0000    2.0905   -1.1505    2.4187   -0.2932
      2.0905    1.1505    3.0371    0.0000    2.1341    0.2147
      2.4187    0.2932    2.1341   -0.2147    2.5281    0.0000
 
TEST03
  For a complex Hermitian matrix
  CCHUD updates a Cholesky decomposition.
  CTRSL solves a triangular linear system.
 
  In this example, we use CCHUD to solve a
  least squares problem R * b = z.
 
  The number of equations is P =       20
 
  Solution vector #        1
  (Should be (1,1) (2,0), (3,1) (4,0) ...)
 
         1    9.999869e-01  9.999776e-01
         2    1.999992e+00 -5.205196e-06
         3    3.000005e+00  1.000013e+00
         4    3.999973e+00 -3.315191e-06
         5    4.999967e+00  9.999921e-01
  ......  ..............
        16    1.600002e+01 -2.588254e-05
        17    1.699999e+01  1.000007e+00
        18    1.800003e+01  8.607409e-06
        19    1.900001e+01  9.999710e-01
        20    2.000001e+01  1.915754e-05
 
TEST04
  For a complex general band storage matrix:
  CGBCO factors the matrix and estimates the
  reciprocal condition number.
 
  The matrix order is N =      3
  The lower band is ML =       1
  The upper band is MU =       1
 
  The matrix A is 
 
  0.4499 -0.1267  0.5896  0.2601  0.0000  0.0000
 -0.8432 -0.3443  0.3911  0.3234 -0.2361  0.0775
  0.0000  0.0000 -0.1395 -0.1561  0.0186 -0.6332
 
  Estimated reciprocal condition RCOND =   3.217781e-01
 
TEST05
  For a complex general band storage matrix:
  CGBFA factors the matrix;
  CGBSL solves a factored linear system.
 
  The matrix order is N =      3
  The lower band is ML =       1
  The upper band is MU =       1
 
  The matrix A is 
 
  0.4499 -0.1267  0.5896  0.2601  0.0000  0.0000
 -0.8432 -0.3443  0.3911  0.3234 -0.2361  0.0775
  0.0000  0.0000 -0.1395 -0.1561  0.0186 -0.6332
 
  The right hand side B is 
 
 -0.1262  0.1961
 -1.2899 -0.1811
  0.2198 -0.2125
 
  Computed                     Exact
  Solution                     Solution
 
  8.928497e-01  1.031360e-02  8.928497e-01  1.031361e-02
 -5.604651e-01  7.637952e-01 -5.604650e-01  7.637951e-01
  3.063566e-01  2.627523e-02  3.063566e-01  2.627523e-02
 
TEST06
  For a complex general band storage matrix:
  CGBFA factors the matrix.
  CGBDI computes the determinant.
 
  The matrix order is N =      3
  The lower band is ML =       1
  The upper band is MU =       1
 
  The matrix A is 
 
  0.4499 -0.1267  0.5896  0.2601  0.0000  0.0000
 -0.8432 -0.3443  0.3911  0.3234 -0.2361  0.0775
  0.0000  0.0000 -0.1395 -0.1561  0.0186 -0.6332
 
  Determinant =   3.162241e+00 -3.918538e+00 * 10**  -1.000000e+00
 
TEST07
  For a complex general storage matrix:
  CGECO factors the matrix and estimates the
  reciprocal condition number.
 
  The matrix order is N =      3
 
  The matrix A is 
 
  0.4499 -0.1267  0.3911  0.3234  0.0186 -0.6332
 -0.8432 -0.3443 -0.1395 -0.1561  0.8928  0.0103
  0.5896  0.2601 -0.2361  0.0775 -0.5605  0.7638
 
  Estimated reciprocal condition RCOND =   1.229366e-02
 
TEST08
  For a complex general storage matrix:
  CGEFA factors the matrix.
  CGESL solves a linear system.
 
  The matrix order is N =      3
 
  The matrix A is 
 
  0.4499 -0.1267  0.3911  0.3234  0.0186 -0.6332
 -0.8432 -0.3443 -0.1395 -0.1561  0.8928  0.0103
  0.5896  0.2601 -0.2361  0.0775 -0.5605  0.7638
 
  The right hand side B is 
 
  0.6063 -0.3917
 -0.1281 -0.0787
 -0.0931  0.5765
 
  Computed                     Exact
  Solution                     Solution
 
  3.063570e-01  2.627570e-02  3.063566e-01  2.627523e-02
  5.008028e-01 -7.799308e-01  5.008039e-01 -7.799310e-01
  3.504708e-01  1.655550e-02  3.504709e-01  1.655507e-02
 
TEST09
  For a complex general storage matrix:
  CGEFA factors the matrix.
  CGEDI computes the determinant or inverse.
 
  The matrix order is N =      3
 
  The matrix A is 
 
  0.4499 -0.1267  0.3911  0.3234  0.0186 -0.6332
 -0.8432 -0.3443 -0.1395 -0.1561  0.8928  0.0103
  0.5896  0.2601 -0.2361  0.0775 -0.5605  0.7638
 
  Determinant =  -3.630748e+00 -5.582361e+00 * 10**  -2.000000e+00
 
  The product inv(A) * A is 
 
  1.0000  0.0000 -0.0000  0.0000 -0.0000 -0.0000
 -0.0000 -0.0000  1.0000  0.0000  0.0000 -0.0000
  0.0000  0.0000  0.0000 -0.0000  1.0000  0.0000
 
TEST10
  For a complex tridiagonal matrix:
  CGTSL solves a linear system.
 
  Matrix order N =     10
 
  Computed                     Exact
  Solution                     Solution
 
  1.000000e+00  1.000000e+01  1.000000e+00  1.000000e+01
  2.000000e+00  2.000000e+01  2.000000e+00  2.000000e+01
  3.000000e+00  3.000000e+01  3.000000e+00  3.000000e+01
  3.999999e+00  4.000000e+01  4.000000e+00  4.000000e+01
  4.999995e+00  5.000000e+01  5.000000e+00  5.000000e+01
  6.000001e+00  6.000001e+01  6.000000e+00  6.000000e+01
  6.999999e+00  7.000001e+01  7.000000e+00  7.000000e+01
  7.999998e+00  8.000002e+01  8.000000e+00  8.000000e+01
  8.999987e+00  9.000001e+01  9.000000e+00  9.000000e+01
  9.999987e+00  1.000000e+02  1.000000e+01  1.000000e+02
 
TEST11
  For a complex Hermitian matrix:
  CHICO factors the matrix and estimates
  the reciprocal condition number.
 
  The matrix order is N =      3
 
  The matrix A is 
 
  0.2184  0.0000  0.4685 -0.8584 -0.6458  0.3803
  0.4685  0.8584  0.0661  0.0000  0.3911  0.3234
 -0.6458 -0.3803  0.3911 -0.3234  0.0438  0.0000
 
  Estimated reciprocal condition RCOND =   2.359185e-01
 
TEST12
  For a complex Hermitian matrix:
  CHIFA factors the matrix.
  CHISL solves a linear system.
 
  The matrix order is N =      3
 
  The matrix A is 
 
  0.2184  0.0000  0.4685 -0.8584 -0.6458  0.3803
  0.4685  0.8584  0.0661  0.0000  0.3911  0.3234
 -0.6458 -0.3803  0.3911 -0.3234  0.0438  0.0000
 
  The right hand side B is 
 
  0.3915  1.3499
  0.4188  0.5569
 -0.4378 -0.1823
 
  Computed                     Exact
  Solution                     Solution
 
  7.370818e-01  3.011247e-01  7.370818e-01  3.011248e-01
 -5.456432e-01  3.896312e-01 -5.456432e-01  3.896312e-01
  2.543268e-01 -8.306571e-01  2.543267e-01 -8.306572e-01
 
TEST13
  For a complex hermitian matrix:
  CHIFA factors the matrix.
  CHIDI computes the determinant, inverse,
  or inertia.
 
  The matrix order is N =      3
 
  The matrix A is 
 
  0.2184  0.0000  0.4685 -0.8584 -0.6458  0.3803
  0.4685  0.8584  0.0661  0.0000  0.3911  0.3234
 -0.6458 -0.3803  0.3911 -0.3234  0.0438  0.0000
 
  Determinant =  -8.700617e+00 * 10**  -1.000000e+00
 
  The inertia:
 
       2
       1
       0
 
  The product inv(A) * A is 
 
  1.0000  0.0000  0.0000 -0.0000 -0.0000  0.0000
  0.0000  0.0000  1.0000 -0.0000 -0.0000  0.0000
  0.0000  0.0000  0.0000  0.0000  1.0000  0.0000
 
TEST14
  For a complex Hermitian matrix
  using packed storage,
  CHPCO factors the matrix and estimates
  the reciprocal condition number.
 
  The matrix order is N =      3
 
  The matrix A is 
 
  0.2184  0.0000  0.4685 -0.8584  0.5896  0.2601
  0.4685  0.8584  0.5617  0.0000  0.3911  0.3234
  0.5896 -0.2601  0.3911 -0.3234  0.0438  0.0000
 
  Estimated reciprocal condition RCOND =   3.400642e-02
 
TEST15
  For a complex Hermitian matrix,
  using packed storage,
  CHPFA factors the matrix.
  CHPSL solves a linear system.
 
  The matrix order is N =      3
 
  The matrix A is 
 
  0.2184  0.0000  0.4685 -0.8584  0.5896  0.2601
  0.4685  0.8584  0.5617  0.0000  0.3911  0.3234
  0.5896 -0.2601  0.3911 -0.3234  0.0438  0.0000
 
  The right hand side B is 
 
  0.6058  0.2931
  0.1484  0.7500
  0.4367  0.2783
 
  Computed                     Exact
  Solution                     Solution
 
  7.370818e-01  3.011250e-01  7.370818e-01  3.011248e-01
 -5.456433e-01  3.896308e-01 -5.456433e-01  3.896311e-01
  2.543270e-01 -8.306573e-01  2.543267e-01 -8.306572e-01
 
TEST16
  For a complex hermitian matrix,
  using packed storage,
  CHPFA factors the matrix.
  CHPDI computes the determinant, inverse,
  or inertia.
 
  The matrix order is N =      3
 
  The matrix A is 
 
  0.2184  0.0000  0.4685 -0.8584  0.5896  0.2601
  0.4685  0.8584  0.5617  0.0000  0.3911  0.3234
  0.5896 -0.2601  0.3911 -0.3234  0.0438  0.0000
 
  Determinant =   1.215351e+00 * 10**  -1.000000e+00
 
  The inertia:
 
       1
       2
       0
 
  The product inv(A) * A is 
 
  1.0000  0.0000 -0.0000  0.0000 -0.0000 -0.0000
  0.0000  0.0000  1.0000 -0.0000  0.0000  0.0000
  0.0000 -0.0000  0.0000  0.0000  1.0000  0.0000
 
TEST17
  For a complex positive definite 
  hermitian band matrix,
  CPBCO estimates the reciprocal condition number.
  The matrix size is N =        3
 
  Estimate the condition.
 
  Reciprocal condition  =   1.535879e-01
 
TEST18
  For a complex positive definite 
  hermitian band matrix,
  CPBDI computes the determinant as
    det = MANTISSA * 10**EXPONENT
 
  Determinant =   6.095705e+00 * 10**   1.000000e+00
 
TEST19
  For a complex positive definite 
  hermitian band matrix,
  CPBFA computes the LU factors.
  CPBSL solves a factored linear system.
  The matrix size is N =        3
 
  Factor the matrix.
 
  Solve the linear system.
 
  The solution:
  (Should be roughly (1,2,3)):
 
         1    1.000000e+00 -1.400529e-08
         2    2.000000e+00  0.000000e+00
         3    3.000000e+00 -7.121618e-08
 
TEST20
  For a complex Hermitian positive definite matrix,
  CPOCO estimates the reciprocal condition number.
  The matrix size is N =        3
 
  Estimate the condition.
 
  Reciprocal condition  =   6.019080e-04
 
TEST21
  For a complex Hermitian positive definite matrix,
  CPOFA computes the LU factors,
  CPODI computes the inverse or determinant.
  The matrix size is N =        3
 
  Factor the matrix.
 
  Get the determinant and inverse.
 
  Determinant  =   3.560205e+00 * 10 **  -2.000000e+00
 
  First row of inverse:
 
     75.8410    0.0000  -14.1735  -44.2781  -74.0824   31.3458
 
TEST22
  For a complex Hermitian positive definite matrix,
  CPOFA computes the LU factors.
  CPOSL solves a factored linear system.
  The matrix size is N =        3
 
  Factor the matrix.
 
  Solve the linear system.
 
  The solution:
  (Should be (1+2i),(3+4i),(5+6i):
 
         1    1.000142e+00  1.999938e+00
         2    3.000009e+00  4.000096e+00
         3    4.999835e+00  6.000000e+00
 
TEST23
  For a complex Hermitian positive definite packed matrix,
  CPPCO estimates the reciprocal condition number.
  The matrix size is N =        3
 
  Estimate the condition number.
 
  Reciprocal condition number =   6.019080e-04
 
TEST24
  For a complex Hermitian positive definite packed matrix,
  CPPFA factors the matrix.
  CPPDI computes the inverse or determinant.
  The matrix size is N =        3
 
  Factor the matrix.
 
  Get the determinant and inverse.
 
  Determinant  =   3.560205e+00 * 10 **  -2.000000e+00
 
  Inverse:
 
     75.8410    0.0000  -14.1735  -44.2781  -74.0824   31.3458
    -14.1735   44.2781   29.5232    0.0000   -5.2299  -49.5355
    -74.0824  -31.3458   -5.2299   49.5355   86.4448    0.0000
 
TEST25
  For a complex Hermitian positive definite packed matrix,
  CPPFA factors the matrix.
  CPPSL solves a factored linear system.
  The matrix size is N =        3
 
  Factor the matrix.
 
  Solve the linear system.
 
  The solution:
  (Should be (1+2i),(3+4i),(5+6i):
 
         1    1.000120e+00  2.000285e+00
         2    2.999810e+00  4.000018e+00
         3    5.000000e+00  5.999671e+00
 
TEST26
  For a complex Hermitian positive definite 
  tridiagonal matrix,
  CPTSL factors and solves a linear system.
  The matrix size is N =        3
 
  Factor the matrix and solve the system.
 
  The solution:
  (Should be roughly (1,2,3)):
 
         1    1.000000e+00  3.948984e-08
         2    2.000000e+00 -8.436955e-08
         3    3.000000e+00  5.004798e-08
 
TEST27
  For a complex general matrix,
  CQRDC computes the QR decomposition of a 
  matrix, but does not return Q and R explicitly.
 
  Show how Q and R can be recovered using CQRSL.
 
  The matrix A is 
 
  0.4499 -0.1267  0.3911  0.3234  0.0186 -0.6332
 -0.8432 -0.3443 -0.1395 -0.1561  0.8928  0.0103
  0.5896  0.2601 -0.2361  0.0775 -0.5605  0.7638
 
  Decompose the matrix.
 
  The packed matrix A which describes Q and R:
 
 -1.1644  0.3279 -0.2355 -0.2650  0.4991 -0.6664
 -0.5938 -0.4629  0.1053 -0.4758 -1.1703  0.1429
  0.4109  0.3391 -0.3781  0.6677 -0.0980  0.0561
 
  The QRAUX vector, containing some
  additional information defining Q:
 
    1.3864  0.0000  1.6413  0.0000  0.0000  0.0000
 
  The R factor:
 
   -1.1644  0.3279 -0.2355 -0.2650  0.4991 -0.6664
    0.0000  0.0000  0.1053 -0.4758 -1.1703  0.1429
    0.0000  0.0000  0.0000  0.0000 -0.0980  0.0561
 
  The Q factor:
 
   -0.3864  0.0000 -0.3098  0.6994  0.2701  0.4389
    0.5938  0.4629 -0.2751 -0.1962  0.4090  0.3895
   -0.4109 -0.3391  0.1152 -0.5362  0.6140  0.1962
 
  The product Q * R:
 
    0.4499 -0.1267  0.3911  0.3234  0.0186 -0.6332
   -0.8432 -0.3443 -0.1395 -0.1561  0.8928  0.0103
    0.5896  0.2601 -0.2361  0.0775 -0.5605  0.7638
 
TEST28
  For a complex symmetric matrix:
  CSICO factors the matrix and estimates
  the reciprocal condition number.
 
  The matrix order is N =      3
 
  The matrix A is 
 
  0.4499 -0.1267 -0.8432 -0.3443  0.5896  0.2601
 -0.8432 -0.3443  0.3911  0.3234 -0.1395 -0.1561
  0.5896  0.2601 -0.1395 -0.1561 -0.2361  0.0775
 
  Estimated reciprocal condition RCOND =   4.753228e-02
 
TEST29
  For a complex symmetric matrix:
  CSIFA factors the matrix.
  CSISL solves a linear system.
 
  The matrix order is N =      3
 
  The matrix A is 
 
  0.4499 -0.1267 -0.8432 -0.3443  0.5896  0.2601
 -0.8432 -0.3443  0.3911  0.3234 -0.1395 -0.1561
  0.5896  0.2601 -0.1395 -0.1561 -0.2361  0.0775
 
  The right hand side B is 
 
 -1.3503 -0.2987
  0.3096  0.8013
  0.1259 -0.7331
 
  Computed                     Exact
  Solution                     Solution
 
  1.859927e-02 -6.332144e-01  1.859943e-02 -6.332143e-01
  8.928493e-01  1.031347e-02  8.928497e-01  1.031361e-02
 -5.604654e-01  7.637949e-01 -5.604650e-01  7.637951e-01
 
TEST30
  For a complex symmetric matrix:
  CSIFA factors the matrix.
  CSIDI computes the determinant or inverse.
 
  The matrix order is N =      3
 
  The matrix A is 
 
  0.4499 -0.1267 -0.8432 -0.3443  0.5896  0.2601
 -0.8432 -0.3443  0.3911  0.3234 -0.1395 -0.1561
  0.5896  0.2601 -0.1395 -0.1561 -0.2361  0.0775
 
  Determinant =   9.438419e-01  9.966612e-01 * 10**  -1.000000e+00
 
  The product inv(A) * A is 
 
  1.0000 -0.0000 -0.0000  0.0000 -0.0000 -0.0000
  0.0000 -0.0000  1.0000  0.0000  0.0000  0.0000
  0.0000  0.0000 -0.0000  0.0000  1.0000  0.0000
 
TEST31
  For a complex symmetric matrix
  in packed storage,
  CSPCO factors the matrix and estimates
  the reciprocal condition number.
 
  The matrix order is N =      3
 
  The matrix A is 
 
  0.4499 -0.1267 -0.8432 -0.3443  0.3911  0.3234
 -0.8432 -0.3443  0.5896  0.2601 -0.1395 -0.1561
  0.3911  0.3234 -0.1395 -0.1561 -0.2361  0.0775
 
  Estimated reciprocal condition RCOND =   5.761919e-02
 
TEST32
  For a complex symmetric matrix
  in packed storage,
  CSPFA factors the matrix.
  CSPSL solves a linear system.
 
  The matrix order is N =      3
 
  The matrix A is 
 
  0.4499 -0.1267 -0.8432 -0.3443  0.3911  0.3234
 -0.8432 -0.3443  0.5896  0.2601 -0.1395 -0.1561
  0.3911  0.3234 -0.1395 -0.1561 -0.2361  0.0775
 
  The right hand side B is 
 
 -1.2874 -0.4858
  0.4875  0.7468
  0.1623 -0.6062
 
  Computed                     Exact
  Solution                     Solution
 
  1.859933e-02 -6.332145e-01  1.859943e-02 -6.332143e-01
  8.928496e-01  1.031342e-02  8.928497e-01  1.031361e-02
 -5.604650e-01  7.637947e-01 -5.604650e-01  7.637951e-01
 
TEST33
  For a complex symmetric matrix
  in packed storage,
  CSPFA factors the matrix.
  CSPDI computes the determinant or inverse.
 
  The matrix order is N =      3
 
  The matrix A is 
 
  0.4499 -0.1267 -0.8432 -0.3443  0.3911  0.3234
 -0.8432 -0.3443  0.5896  0.2601 -0.1395 -0.1561
  0.3911  0.3234 -0.1395 -0.1561 -0.2361  0.0775
 
  Determinant =   7.885257e-01  1.041452e+00 * 10**  -1.000000e+00
 
  The product inv(A) * A is 
 
  1.0000 -0.0000  0.0000 -0.0000  0.0000  0.0000
  0.0000  0.0000  1.0000 -0.0000  0.0000  0.0000
  0.0000 -0.0000  0.0000  0.0000  1.0000  0.0000
 
TEST34
  For an MxN matrix A in complex general storage,
  CSVDC computes the singular value decomposition:
    A = U * S * V^H
 
  Matrix rows M =           4
  Matrix columns N =        3
 
  The matrix A:
 
      0.4499   -0.1267   -0.1395   -0.1561   -0.5605    0.7638
     -0.8432   -0.3443   -0.2361    0.0775    0.3064    0.0263
      0.5896    0.2601    0.0186   -0.6332    0.5008   -0.7799
      0.3911    0.3234    0.8928    0.0103    0.3505    0.0166
 
  Decompose the matrix.
 
  Singular values:
 
     1    1.729969e+00  0.000000e+00
     2    1.300870e+00  0.000000e+00
     3    5.604976e-01  0.000000e+00
 
  Left Singular Vector Matrix U:
 
      0.0006   -0.3456   -0.6466   -0.1036   -0.1390    0.4739    0.3709    0.2651
     -0.3518   -0.0920    0.4726    0.3090   -0.3977   -0.0478    0.3892    0.4868
      0.6124    0.3271    0.1879    0.2403    0.3439    0.3499    0.0786    0.4219
      0.1009    0.5061   -0.3989    0.0116   -0.0505   -0.5936    0.4616    0.0798
 
  Right Singular Vector Matrix V:
 
      0.5906    0.0000   -0.5855    0.0000    0.5554    0.0000
      0.0170    0.5445   -0.3736   -0.0447   -0.4119   -0.6261
     -0.1614    0.5731    0.1563    0.7009    0.3363    0.1295
 
  The product U * S * V^H (should equal A):
 
      0.4499   -0.1267   -0.1395   -0.1561   -0.5605    0.7638
     -0.8432   -0.3443   -0.2361    0.0775    0.3064    0.0263
      0.5896    0.2601    0.0186   -0.6332    0.5008   -0.7799
      0.3911    0.3234    0.8928    0.0103    0.3505    0.0166
 
TEST345
  For an MxN matrix A in complex general storage,
  CSVDC computes the singular value decomposition:
    A = U * S * V^H
 
  Matrix rows M =           4
  Matrix columns N =        4
 
  The matrix A:
 
      1.0000    0.0000    1.0000    0.0000    1.0000    0.0000    1.0000    0.0000
      0.0000   -1.0000   -1.0000    0.0000    1.0000    0.0000    0.0000    1.0000
     -1.0000    0.0000   -1.0000    0.0000    1.0000    0.0000   -1.0000    0.0000
      0.0000    1.0000    1.0000    0.0000    1.0000    0.0000    0.0000   -1.0000
 
  Decompose the matrix.
 
  Singular values:
 
     1    2.828427e+00  0.000000e+00
     2    2.000000e+00  0.000000e+00
     3    2.000000e+00  0.000000e+00
     4    0.000000e+00  0.000000e+00
 
  Left Singular Vector Matrix U:
 
      0.3536    0.3536   -0.0707    0.4950   -0.3536    0.3536    0.0707    0.4950
     -0.3536   -0.3536   -0.0707    0.4950   -0.3536    0.3536   -0.0707   -0.4950
     -0.3536   -0.3536   -0.0707    0.4950    0.3536   -0.3536    0.0707    0.4950
      0.3536    0.3536   -0.0707    0.4950    0.3536   -0.3536   -0.0707   -0.4950
 
  Right Singular Vector Matrix V:
 
      0.5000    0.0000    0.0000    0.0000   -0.7071    0.0000    0.5000    0.0000
      0.5000    0.5000    0.0000    0.0000    0.0000    0.0000   -0.5000   -0.5000
      0.0000    0.0000   -0.1414    0.9899    0.0000    0.0000    0.0000    0.0000
      0.0000    0.5000    0.0000    0.0000    0.0000    0.7071    0.0000    0.5000
 
  The product U * S * V^H (should equal A):
 
      1.0000    0.0000    1.0000    0.0000    1.0000   -0.0000    1.0000    0.0000
      0.0000   -1.0000   -1.0000    0.0000    1.0000    0.0000   -0.0000    1.0000
     -1.0000    0.0000   -1.0000   -0.0000    1.0000    0.0000   -1.0000   -0.0000
      0.0000    1.0000    1.0000   -0.0000    1.0000    0.0000    0.0000   -1.0000
 
TEST35
  For a complex triangular matrix,
  CTRCO estimates the condition.
 
  Matrix order N =      3
 
  Estimated reciprocal condition RCOND =   7.261354e-02
 
TEST36
  For a complex triangular matrix,
  CTRDI computes the determinant or inverse.
 
  Matrix order N =      3
 
  Determinant =  -7.367153e+00  1.310815e+00 * 10**  -2.000000e+00
 
  The product inv(A) * A is 
 
  1.0000 -0.0000  0.0000  0.0000  0.0000  0.0000
  0.0000  0.0000  1.0000  0.0000  0.0000  0.0000
  0.0000  0.0000  0.0000  0.0000  1.0000 -0.0000
 
TEST37
  For a complex triangular matrix,
  CTRSL solves a linear system.
 
  Matrix order N =     10
 
  Computed                     Exact
  Solution                     Solution
 
  9.999998e-01  1.000000e+01  1.000000e+00  1.000000e+01
  1.999999e+00  2.000000e+01  2.000000e+00  2.000000e+01
  3.000000e+00  3.000000e+01  3.000000e+00  3.000000e+01
  4.000008e+00  4.000000e+01  4.000000e+00  4.000000e+01
  4.999999e+00  5.000000e+01  5.000000e+00  5.000000e+01
  6.000003e+00  5.999999e+01  6.000000e+00  6.000000e+01
  7.000009e+00  6.999999e+01  7.000000e+00  7.000000e+01
  8.000011e+00  8.000002e+01  8.000000e+00  8.000000e+01
  9.000027e+00  9.000000e+01  9.000000e+00  9.000000e+01
  1.000008e+01  1.000000e+02  1.000000e+01  1.000000e+02
 
linpack_c_test():
  Normal end of execution.
 
rc= 0
** linpack/b-linpack-d-test.f
 
linpack_d_test():
  Fortran77 version
  Test linpack_d().
 
TEST01
  For double precision, general storage,
  DCHDC computes the Cholesky decomposition.
 
  The number of equations is N =      4
 
  The matrix A:
 
    2.000000e+00 -1.000000e+00  0.000000e+00  0.000000e+00
    0.000000e+00  2.000000e+00 -1.000000e+00  0.000000e+00
    0.000000e+00  0.000000e+00  2.000000e+00 -1.000000e+00
    0.000000e+00  0.000000e+00  0.000000e+00  2.000000e+00
 
  Decompose the matrix.
 
  The Cholesky factor U:
 
    1.414214e+00 -7.071068e-01  0.000000e+00  0.000000e+00
    0.000000e+00  1.224745e+00 -8.164966e-01  0.000000e+00
    0.000000e+00  0.000000e+00  1.154701e+00 -8.660254e-01
    0.000000e+00  0.000000e+00  0.000000e+00  1.118034e+00
 
  The product U' * U: 
 
    2.000000e+00 -1.000000e+00  0.000000e+00  0.000000e+00
   -1.000000e+00  2.000000e+00 -1.000000e+00  0.000000e+00
    0.000000e+00 -1.000000e+00  2.000000e+00 -1.000000e+00
    0.000000e+00  0.000000e+00 -1.000000e+00  2.000000e+00
 
TEST02
  For double precision, general storage,
  DCHEX can shift columns in a Cholesky 
  factorization.
 
  The number of equations is N =      5
 
  The matrix A:
 
    2.000000e+00 -1.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
    0.000000e+00  2.000000e+00 -1.000000e+00  0.000000e+00  0.000000e+00
    0.000000e+00  0.000000e+00  2.000000e+00 -1.000000e+00  0.000000e+00
    0.000000e+00  0.000000e+00  0.000000e+00  2.000000e+00 -1.000000e+00
    0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  2.000000e+00
 
  The vector Z:
 
    1.000000e+00
    2.000000e+00
    3.000000e+00
    4.000000e+00
    5.000000e+00
 
  Decompose the matrix.
 
  The Cholesky factor U:
 
    1.414214e+00 -7.071068e-01  0.000000e+00  0.000000e+00  0.000000e+00
    0.000000e+00  1.224745e+00 -8.164966e-01  0.000000e+00  0.000000e+00
    0.000000e+00  0.000000e+00  1.154701e+00 -8.660254e-01  0.000000e+00
    0.000000e+00  0.000000e+00  0.000000e+00  1.118034e+00 -8.944272e-01
    0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  1.095445e+00
 
  Right circular shift columns K  =      1 through L =      3
 
  Left circular shift columns K+1 =      2 through L =      3
 
  The shifted Cholesky factor U:
 
    1.414214e+00 -7.071068e-01  0.000000e+00 -7.071068e-01  0.000000e+00
    0.000000e+00 -1.224745e+00  8.164966e-01  4.082483e-01  0.000000e+00
    0.000000e+00  0.000000e+00  1.154701e+00 -2.886751e-01  0.000000e+00
    0.000000e+00  0.000000e+00  0.000000e+00  1.118034e+00 -8.944272e-01
    0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  1.095445e+00
 
  The shifted vector Z:
 
    1.294789e+00
   -2.170197e+00
    2.759306e+00
    4.000000e+00
    5.000000e+00
 
  The shifted product U' * U: 
 
    2.000000e+00 -1.000000e+00  0.000000e+00 -1.000000e+00  0.000000e+00
   -1.000000e+00  2.000000e+00 -1.000000e+00  0.000000e+00  0.000000e+00
    0.000000e+00 -1.000000e+00  2.000000e+00  5.551115e-17  0.000000e+00
   -1.000000e+00  0.000000e+00  5.551115e-17  2.000000e+00 -1.000000e+00
    0.000000e+00  0.000000e+00  0.000000e+00 -1.000000e+00  2.000000e+00
 
TEST03
  For double precision, general storage,
  DCHUD updates a Cholesky decomposition.
 
  In this example, we use DCHUD to solve a
  least squares problem R * b = z.
 
  The number of equations is P =     20
 
  Solution vector #      1
  (Should be (1,2,3...,n))
 
       1    1.000000e+00
       2    2.000000e+00
       3    3.000000e+00
       4    4.000000e+00
       5    5.000000e+00
  ......  ..............
      16    1.600000e+01
      17    1.700000e+01
      18    1.800000e+01
      19    1.900000e+01
      20    2.000000e+01
 
TEST04
  For a banded matrix in general format,
  DGBCO estimates the reciprocal condition number.
  The matrix size is N =     10
  The bandwidth of the matrix is      3
 
  Estimate the condition.
 
  Estimated reciprocal condition =   2.049180e-02
 
TEST05
  For a banded matrix in general format,
  DGBFA factors the matrix,
  DGBSL solves a factored linear system.
  The matrix size is N =     10
  The bandwidth of the matrix is      3
 
  Factor the matrix.
 
  Solve the linear system.
 
  The first and last 5 solution values:
  (All should be 1):
 
       1    1.000000e+00
       2    1.000000e+00
       3    1.000000e+00
       4    1.000000e+00
       5    1.000000e+00
  ......  ..............
       6    1.000000e+00
       7    1.000000e+00
       8    1.000000e+00
       9    1.000000e+00
      10    1.000000e+00
 
TEST06
  For a banded matrix in general format,
  DGBFA factors the matrix,
  DGBDI computes the determinant as
    det = MANTISSA * 10**EXPONENT
 
  Find the determinant of the -1,2,-1 matrix
  for N = 2, 4, 8, 16, 32, 64, 128.
 
  (For this matrix, det ( A ) = N + 1.)
  The bandwidth of the matrix is      3
 
       N    Mantissa       Exponent
 
       2    3.000000e+00    0.000000e+00
       4    5.000000e+00    0.000000e+00
       8    9.000000e+00    0.000000e+00
      16    1.700000e+00    1.000000e+00
      32    3.300000e+00    1.000000e+00
      64    6.500000e+00    1.000000e+00
     128    1.290000e+00    2.000000e+00
 
TEST07
  For a banded matrix in general format,
  DGBFA factors the matrix,
  DGBSL solves a factored linear system.
  The matrix size is N =    100
  The bandwidth of the matrix is     51
 
  Factor the matrix.
 
  Solve the linear system.
 
  The first and last 5 solution entries:
  (All should be 1):
 
       1    1.000000e+00
       2    1.000000e+00
       3    1.000000e+00
       4    1.000000e+00
       5    1.000000e+00
  ......  ..............
      96    1.000000e+00
      97    1.000000e+00
      98    1.000000e+00
      99    1.000000e+00
     100    1.000000e+00
 
TEST08
  DGECO factors a general matrix and computes
  its reciprocal condition number;
  DGESL solves a factored linear system.
  The matrix size is N =      3
 
  Factor the matrix.
  The reciprocal matrix condition number =   2.464455e-02
 
  Solve the linear system.
 
  Solution returned by DGESL
  (Should be (1,2,3))
 
    1.000000e+00
    2.000000e+00
    3.000000e+00
 
  Call DGESL for a new right hand 
  side for the same, factored matrix.
 
  Solve a linear system.
 
  Solution returned by DGESL
  (should be (1,0,0))
 
    1.000000e+00
    0.000000e+00
    0.000000e+00
 
  Call DGESL for transposed problem.
 
  Call DGESL to solve a transposed linear system.
 
  Solution returned by DGESL
  (should be (-1,0,1))
 
   -1.000000e+00
   -3.947460e-16
    1.000000e+00
 
TEST09
  DGEFA factors a general matrix;
  DGEDI computes the inverse and determinant
  of a factored matrix.
  The matrix size is N =      3
 
  Factor the matrix
 
  Get the inverse and determinant
 
  The determinant =   2.700000e+00 * 10 **   1.000000e+00
 
  The inverse matrix:
 
   -1.777778e+00  8.888889e-01 -1.111111e-01
    1.555556e+00 -7.777778e-01  2.222222e-01
   -1.111111e-01  2.222222e-01 -1.111111e-01
 
TEST10
  DGEFA factors a general matrix;
  DGESL solves a factored linear system;
 
  The number of equations is N =      3
 
  The matrix A:
 
    1.000000e+00  2.000000e+00  3.000000e+00
    4.000000e+00  5.000000e+00  6.000000e+00
    7.000000e+00  8.000000e+00  0.000000e+00
 
  The right hand side B is 
 
    1.400000e+01
    3.200000e+01
    2.300000e+01
 
  Factor the matrix
 
  Solve the linear system.
 
  DGESL returns the solution:
  (Should be (1,2,3))
 
    1.000000e+00
    2.000000e+00
    3.000000e+00
 
TEST11
  DGEFA factors a general matrix;
  DGESL solves a factored linear system;
  The matrix size is N =    100
 
  Factor the matrix.
 
  Solve the linear system.
 
  The first and last five solution entries:
  (All of them should be 1.)
 
       1    1.000000e+00
       2    1.000000e+00
       3    1.000000e+00
       4    1.000000e+00
       5    1.000000e+00
  ......  ..............
      96    1.000000e+00
      97    1.000000e+00
      98    1.000000e+00
      99    1.000000e+00
     100    1.000000e+00
 
TEST12
  For a general tridiagonal matrix,
  DGTSL factors and solves a linear system.
  The matrix size is N =      100
 
 
  Factor the matrix and solve the system.
 
  The first and last 5 entries of solution:
  (Should be (1,2,3,4,5,...,n-1,n))
 
         1    1.000000e+00
         2    2.000000e+00
         3    3.000000e+00
         4    4.000000e+00
         5    5.000000e+00
  ......  ..............
        96    9.600000e+01
        97    9.700000e+01
        98    9.800000e+01
        99    9.900000e+01
       100    1.000000e+02
 
TEST13
  For a positive definite symmetric 
  band matrix, DPBCO estimates the 
  reciprocal condition number.
  The matrix size is N =       10
 
  Estimate the condition.
 
  Reciprocal condition  =   2.049180e-02
 
TEST14
  For a positive definite symmetric band
  matrix, DPBDI computes the determinant as
    det = MANTISSA * 10**EXPONENT
 
  Find the determinant of the -1,2,-1 matrix
  for N = 2, 4, 8, 16, 32, 64, 128.
 
  (For this matrix, det ( A ) = N + 1.)
 
  The bandwidth of the matrix is        3
 
       N    Mantissa       Exponent
 
         2    3.000000e+00    0.000000e+00
         4    5.000000e+00    0.000000e+00
         8    9.000000e+00    0.000000e+00
        16    1.700000e+00    1.000000e+00
        32    3.300000e+00    1.000000e+00
        64    6.500000e+00    1.000000e+00
       128    1.290000e+00    2.000000e+00
 
TEST15
  For a positive definite symmetric band
  matrix,
  DPBFA computes the LU factors.
  DPBSL solves a factored linear system.
  The matrix size is N =       10
 
  Factor the matrix.
 
  Solve the linear system.
 
  The first and last solution entries:
  (All should be 1):
 
         1    1.000000e+00
         2    1.000000e+00
         3    1.000000e+00
         4    1.000000e+00
         5    1.000000e+00
  ......  ..............
         6    1.000000e+00
         7    1.000000e+00
         8    1.000000e+00
         9    1.000000e+00
        10    1.000000e+00
 
TEST16
  For a positive definite symmetric matrix,
  DPOCO estimates the reciprocal condition
  number.
  The matrix size is N =        5
 
  Estimate the condition.
 
  Reciprocal condition  =   6.756757e-02
 
TEST17
  For a positive definite symmetric matrix,
  DPOFA computes the LU factors,
  DPODI computes the inverse or determinant.
  The matrix size is N =        5
 
  Factor the matrix.
 
  Get the determinant and inverse.
 
  Determinant  =   6.000000e+00 * 10 **   0.000000e+00
 
  First row of inverse:
 
    8.333333e-01  6.666667e-01  5.000000e-01  3.333333e-01  1.666667e-01
 
TEST18
  For a positive definite symmetric matrix,
  DPOFA computes the LU factors.
  DPOSL solves a factored linear system.
  The matrix size is N =       20
 
  Factor the matrix.
 
  Solve the linear system.
 
  The first and last 5 solution entries:
  (Should be 1,2,3,4,5,...,n-1,n):
 
         1    1.000000e+00
         2    2.000000e+00
         3    3.000000e+00
         4    4.000000e+00
         5    5.000000e+00
  ......  ..............
        15    1.500000e+01
        16    1.600000e+01
        17    1.700000e+01
        18    1.800000e+01
        19    1.900000e+01
        20    2.000000e+01
 
TEST19
  For a positive definite symmetric 
  packed matrix,
  DPPCO estimates the reciprocal condition 
  number.
  The matrix size is N =        5
 
  Estimate the condition number.
 
  Reciprocal condition number =   6.756757e-02
 
TEST20
  For a positive definite symmetric 
  packed matrix,
  DPPFA factors the matrix.
  DPPDI computes the inverse or determinant.
  The matrix size is N =        5
 
  Factor the matrix.
 
  Get the determinant and inverse.
 
  Determinant  =   6.000000e+00 * 10 **   0.000000e+00
 
  Inverse:
 
    8.333333e-01  6.666667e-01  5.000000e-01  3.333333e-01  1.666667e-01
    6.666667e-01  1.333333e+00  1.000000e+00  6.666667e-01  3.333333e-01
    5.000000e-01  1.000000e+00  1.500000e+00  1.000000e+00  5.000000e-01
    3.333333e-01  6.666667e-01  1.000000e+00  1.333333e+00  6.666667e-01
    1.666667e-01  3.333333e-01  5.000000e-01  6.666667e-01  8.333333e-01
 
TEST21
  For a positive definite symmetric 
  packed matrix,
  DPPFA factors the matrix.
  DPPSL solves a factored linear system.
  The matrix size is N =       20
 
  Factor the matrix.
 
  Solve the linear system.
 
  The first and last 5 solution entries:
  (Should be 1,2,3,4,5,...,n-1,n):
 
         1    1.000000e+00
         2    2.000000e+00
         3    3.000000e+00
         4    4.000000e+00
         5    5.000000e+00
  ......  ..............
        16    1.600000e+01
        17    1.700000e+01
        18    1.800000e+01
        19    1.900000e+01
        20    2.000000e+01
 
TEST22
  For a positive definite symmetric
  tridiagonal matrix,
  DPTSL factors and solves a linear system.
  The matrix size is N =       20
 
  Factor the matrix and solve the system.
 
  The first and last 5 solution entries:
  (Should be 1,2,3,4,5,...,n-1,n):
 
         1    1.000000e+00
         2    2.000000e+00
         3    3.000000e+00
         4    4.000000e+00
         5    5.000000e+00
  ......  ..............
        16    1.600000e+01
        17    1.700000e+01
        18    1.800000e+01
        19    1.900000e+01
        20    2.000000e+01
 
TEST23
  For a general matrix,
  DQRDC computes the QR decomposition of a 
  matrix, but does not return Q and R
  explicitly.
 
  Recover Q and R using DQRSL.
 
  The original matrix A:
 
    1.000000e+00  1.000000e+00  0.000000e+00
    1.000000e+00  0.000000e+00  1.000000e+00
    0.000000e+00  1.000000e+00  1.000000e+00
 
  Decompose the matrix.
 
  The packed matrix A,
  describing Q and R:
 
   -1.414214e+00 -7.071068e-01 -7.071068e-01
    7.071068e-01  1.224745e+00  4.082483e-01
    0.000000e+00 -8.164966e-01  1.154701e+00
 
  The QRAUX vector, containing additional
  information defining Q:
 
    1.707107e+00  1.577350e+00  0.000000e+00
 
  The R factor:
 
   -1.414214e+00 -7.071068e-01 -7.071068e-01
    0.000000e+00  1.224745e+00  4.082483e-01
    0.000000e+00  0.000000e+00  1.154701e+00
 
  The Q factor:
 
   -7.071068e-01  4.082483e-01 -5.773503e-01
   -7.071068e-01 -4.082483e-01  5.773503e-01
    0.000000e+00  8.164966e-01  5.773503e-01
 
  The product Q * R:
 
    1.000000e+00  1.000000e+00 -2.220446e-16
    1.000000e+00 -5.551115e-17  1.000000e+00
    0.000000e+00  1.000000e+00  1.000000e+00
 
TEST24
  For a symmetric indefinite matrix,
  DSICO estimates the reciprocal condition
  number.
  The matrix size is N =      100
 
  Estimate the condition.
 
  Estimated reciprocal condition =   2.450500e-04
 
TEST25
  For a symmetric indefinite matrix,
  DSIFA factors the matrix,
  DSISL solves a factored linear system,
  The matrix size is N =      100
 
  Factor the matrix.
 
  Solve the linear system.
 
  The first and last 5 solution entries:
  (Should be (1,2,3,4,5,...,n-1,n))
 
         1    1.000000e+00
         2    2.000000e+00
         3    3.000000e+00
         4    4.000000e+00
         5    5.000000e+00
  ......  ..............
        96    9.600000e+01
        97    9.700000e+01
        98    9.800000e+01
        99    9.900000e+01
       100    1.000000e+02
 
TEST26
  For a symmetric indefinite packed matrix,
  DSPCO estimates the reciprocal condition
  number.
  The matrix size is N =      100
 
  Estimate the condition.
 
  Estimated reciprocal condition =   2.450500e-04
 
TEST27
  For a symmetric indefinite packed matrix,
  DSPFA factors the matrix,
  DSPSL solves a factored linear system.
  The matrix size is N =      100
 
  Factor the matrix.
 
  Solve the linear system.
 
  The first and last 5 solution entries:
  (Should be (1,2,3,4,5,...,n-1,n))
 
         1    1.000000e+00
         2    2.000000e+00
         3    3.000000e+00
         4    4.000000e+00
         5    5.000000e+00
  ......  ..............
        96    9.600000e+01
        97    9.700000e+01
        98    9.800000e+01
        99    9.900000e+01
       100    1.000000e+02
 
TEST28
  For an MxN matrix A in general storage,
  DSVDC computes the singular value 
  decomposition:
    A = U * S * V'
 
  Matrix rows M =           6
  Matrix columns N =        4
 
  The matrix A:
 
      0.2184    0.2576    0.4013    0.0945
      0.9563    0.1100    0.7547    0.0136
      0.8295    0.0438    0.7973    0.8591
      0.5617    0.6340    0.0018    0.8408
      0.4153    0.0617    0.8975    0.1231
      0.0661    0.4495    0.3508    0.0075
 
  Decompose the matrix.
 
  Singular values:
 
     1    2.228984e+00
     2    1.031751e+00
     3    6.063036e-01
     4    4.410979e-01
 
  Left Singular Vector Matrix U:
 
     -0.2149    0.0703    0.3516    0.1415   -0.5697   -0.6933
     -0.4939    0.3994    0.0408   -0.7659   -0.0327    0.0848
     -0.6210   -0.1220   -0.5412    0.3511   -0.3416    0.2581
     -0.3787   -0.8039    0.2117   -0.1950    0.3196   -0.1592
     -0.3942    0.4170    0.1135    0.4246    0.6525   -0.2275
     -0.1594    0.0218    0.7240    0.2274   -0.1725    0.6071
 
  Right Singular Vector Matrix V:
 
     -0.6377    0.0186   -0.1965   -0.7446
     -0.2122   -0.4046    0.8873   -0.0625
     -0.6122    0.5940    0.1595    0.4970
     -0.4167   -0.6951   -0.3855    0.4412
 
  The product U * S * V' (should equal A):
 
      0.2184    0.2576    0.4013    0.0945
      0.9563    0.1100    0.7547    0.0136
      0.8295    0.0438    0.7973    0.8591
      0.5617    0.6340    0.0018    0.8408
      0.4153    0.0617    0.8975    0.1231
      0.0661    0.4495    0.3508    0.0075
 
TEST29
  For a triangular matrix,
  DTRCO computes the LU factors and
  computes its reciprocal condition number.
  The matrix size is N =        5
 
  Lower triangular matrix A:
 
    2.184183e-01  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
    9.563176e-01  2.575778e-01  0.000000e+00  0.000000e+00  0.000000e+00
    8.295092e-01  1.099568e-01  4.013063e-01  0.000000e+00  0.000000e+00
    5.616954e-01  4.382900e-02  7.546735e-01  9.454475e-02  0.000000e+00
    4.153071e-01  6.339657e-01  7.972870e-01  1.361689e-02  2.603030e-01
 
  Estimate the condition:
 
  The reciprocal condition number =   4.819964e-03
 
  Upper triangular matrix A:
 
    9.124837e-01  6.920665e-01  5.979169e-01  5.743659e-01  7.144712e-01
    0.000000e+00  5.616625e-01  1.889547e-01  3.670267e-01  1.177069e-01
    0.000000e+00  0.000000e+00  7.614921e-01  6.172048e-01  2.993291e-01
    0.000000e+00  0.000000e+00  0.000000e+00  3.615287e-01  8.250030e-01
    0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  8.246601e-01
 
  Estimate the condition:
 
  The reciprocal condition number =   6.140109e-02
 
TEST30
  For a triangular matrix,
  DTRDI computes the determinant or inverse.
  The matrix size is N =        5
 
  Lower triangular matrix A:
 
    2.184183e-01  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
    9.563176e-01  2.575778e-01  0.000000e+00  0.000000e+00  0.000000e+00
    8.295092e-01  1.099568e-01  4.013063e-01  0.000000e+00  0.000000e+00
    5.616954e-01  4.382900e-02  7.546735e-01  9.454475e-02  0.000000e+00
    4.153071e-01  6.339657e-01  7.972870e-01  1.361689e-02  2.603030e-01
 
  The determinant =   5.556355e+00 * 10 **  -4.000000e+00
 
  The inverse matrix:
 
    4.578371e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
   -1.699827e+01  3.882322e+00  0.000000e+00  0.000000e+00  0.000000e+00
   -4.806119e+00 -1.063745e+00  2.491862e+00  0.000000e+00  0.000000e+00
    1.904302e+01  6.691246e+00 -1.989050e+01  1.057700e+01  0.000000e+00
    4.781904e+01 -6.547227e+00 -6.591866e+00 -5.533009e-01  3.841677e+00
 
  Upper triangular matrix A:
 
    9.124837e-01  6.920665e-01  5.979169e-01  5.743659e-01  7.144712e-01
    0.000000e+00  5.616625e-01  1.889547e-01  3.670267e-01  1.177069e-01
    0.000000e+00  0.000000e+00  7.614921e-01  6.172048e-01  2.993291e-01
    0.000000e+00  0.000000e+00  0.000000e+00  3.615287e-01  8.250030e-01
    0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  8.246601e-01
 
  The determinant =   1.163546e+00 * 10 **  -1.000000e+00
 
  The inverse matrix:
 
    1.095910e+00 -1.350353e+00 -5.254258e-01  5.268118e-01 -1.093052e+00
    0.000000e+00  1.780429e+00 -4.417910e-01 -1.053275e+00  9.599440e-01
    0.000000e+00  0.000000e+00  1.313211e+00 -2.241925e+00  1.766198e+00
    0.000000e+00  0.000000e+00  0.000000e+00  2.766032e+00 -2.767182e+00
    0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  1.212621e+00
 
TEST31
  For a triangular matrix,
  DTRSL solves a linear system.
  The matrix size is N =        5
 
  For a lower triangular matrix A,
  solve A * x = b
 
  The solution (should be 1,2,3,4,5):
 
         1    1.000000e+00
         2    2.000000e+00
         3    3.000000e+00
         4    4.000000e+00
         5    5.000000e+00
 
  For a lower triangular matrix A,
  solve A' * x = b
 
  The solution (should be 1,2,3,4,5):
 
         1    1.000000e+00
         2    2.000000e+00
         3    3.000000e+00
         4    4.000000e+00
         5    5.000000e+00
 
  For an upper triangular matrix A,
  solve A * x = b
 
  The solution (should be 1,2,3,4,5):
 
         1    1.000000e+00
         2    2.000000e+00
         3    3.000000e+00
         4    4.000000e+00
         5    5.000000e+00
 
  For an upper triangular matrix A,
  solve A' * x = b
 
  The solution (should be 1,2,3,4,5):
 
         1    1.000000e+00
         2    2.000000e+00
         3    3.000000e+00
         4    4.000000e+00
         5    5.000000e+00
 
linpack_d_test():
  Normal end of execution.
 
rc= 0
** linpack/b-linpack-s-test.f
 
linpack_s_test
  FORTRAN77 version
  Test the LINPACK_S library.
 
TEST01
  For real, general storage,
  SCHDC computes the Cholesky decomposition.
 
  The number of equations is N =      4
 
  The matrix A:
 
    2.000000e+00 -1.000000e+00  0.000000e+00  0.000000e+00
    0.000000e+00  2.000000e+00 -1.000000e+00  0.000000e+00
    0.000000e+00  0.000000e+00  2.000000e+00 -1.000000e+00
    0.000000e+00  0.000000e+00  0.000000e+00  2.000000e+00
 
  Decompose the matrix.
 
  The Cholesky factor U:
 
    1.414214e+00 -7.071068e-01  0.000000e+00  0.000000e+00
    0.000000e+00  1.224745e+00 -8.164966e-01  0.000000e+00
    0.000000e+00  0.000000e+00  1.154701e+00 -8.660254e-01
    0.000000e+00  0.000000e+00  0.000000e+00  1.118034e+00
 
  The product U' * U: 
 
    2.000000e+00 -9.999999e-01  0.000000e+00  0.000000e+00
   -9.999999e-01  2.000000e+00 -1.000000e+00  0.000000e+00
    0.000000e+00 -1.000000e+00  2.000000e+00 -1.000000e+00
    0.000000e+00  0.000000e+00 -1.000000e+00  2.000000e+00
 
TEST02
  For real, general storage,
  SCHEX can shift columns in a Cholesky 
  factorization.
 
  The number of equations is N =      5
 
  The matrix A:
 
    2.000000e+00 -1.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
    0.000000e+00  2.000000e+00 -1.000000e+00  0.000000e+00  0.000000e+00
    0.000000e+00  0.000000e+00  2.000000e+00 -1.000000e+00  0.000000e+00
    0.000000e+00  0.000000e+00  0.000000e+00  2.000000e+00 -1.000000e+00
    0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  2.000000e+00
 
  The vector Z:
 
    1.000000e+00
    2.000000e+00
    3.000000e+00
    4.000000e+00
    5.000000e+00
 
  Decompose the matrix.
 
  The Cholesky factor U:
 
    1.414214e+00 -7.071068e-01  0.000000e+00  0.000000e+00  0.000000e+00
    0.000000e+00  1.224745e+00 -8.164966e-01  0.000000e+00  0.000000e+00
    0.000000e+00  0.000000e+00  1.154701e+00 -8.660254e-01  0.000000e+00
    0.000000e+00  0.000000e+00  0.000000e+00  1.118034e+00 -8.944272e-01
    0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  1.095445e+00
 
  Right circular shift columns K  =      1 through L =      3
 
  Left circular shift columns K+1 =      2 through L =      3
 
  The shifted Cholesky factor U:
 
    1.414213e+00 -7.071069e-01  0.000000e+00 -7.071069e-01  0.000000e+00
    0.000000e+00 -1.224745e+00  8.164966e-01  4.082484e-01  0.000000e+00
    0.000000e+00  0.000000e+00  1.154701e+00 -2.886752e-01  0.000000e+00
    0.000000e+00  0.000000e+00  0.000000e+00  1.118034e+00 -8.944272e-01
    0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  1.095445e+00
 
  The shifted vector Z:
 
    1.294789e+00
   -2.170197e+00
    2.759306e+00
    4.000000e+00
    5.000000e+00
 
  The shifted product U' * U: 
 
    2.000000e+00 -1.000000e+00  0.000000e+00 -1.000000e+00  0.000000e+00
   -1.000000e+00  2.000000e+00 -1.000000e+00  5.960464e-08  0.000000e+00
    0.000000e+00 -1.000000e+00  2.000000e+00  0.000000e+00  0.000000e+00
   -1.000000e+00  5.960464e-08  0.000000e+00  2.000000e+00 -1.000000e+00
    0.000000e+00  0.000000e+00  0.000000e+00 -1.000000e+00  2.000000e+00
 
TEST03
  For real, general storage,
  SCHUD updates a Cholesky decomposition.
 
  In this example, we use SCHUD to solve a
  least squares problem R * b = z.
 
  The number of equations is P =     20
 
  Solution vector #      1
  (Should be (1,2,3...,n))
 
       1    9.999487e-01
       2    2.000000e+00
       3    3.000034e+00
       4    3.999986e+00
       5    4.999966e+00
  ......  ..............
      16    1.599997e+01
      17    1.700003e+01
      18    1.800003e+01
      19    1.899998e+01
      20    1.999997e+01
 
TEST04
  For a banded matrix in general format,
  SGBCO estimates the reciprocal condition number.
  The matrix size is N =     10
  The bandwidth of the matrix is      3
 
  Estimate the condition.
 
  Estimated reciprocal condition =   2.049180e-02
 
TEST05
  For a banded matrix in general format,
  SGBFA factors the matrix,
  SGBSL solves a factored linear system.
  The matrix size is N =     10
  The bandwidth of the matrix is      3
 
  Factor the matrix.
 
  Solve the linear system.
 
  The first and last 5 solution values:
  (All should be 1):
 
       1    1.000000e+00
       2    1.000000e+00
       3    1.000000e+00
       4    1.000000e+00
       5    1.000000e+00
  ......  ..............
       6    1.000000e+00
       7    1.000000e+00
       8    1.000000e+00
       9    1.000000e+00
      10    1.000000e+00
 
TEST06
  For a banded matrix in general format,
  SGBFA factors the matrix,
  SGBDI computes the determinant as
    det = MANTISSA * 10**EXPONENT
 
  Find the determinant of the -1,2,-1 matrix
  for N by powers of 2 from 2 to      128
 
  (For this matrix, det ( A ) = N + 1.)
  The bandwidth of the matrix is      3
 
       N    Mantissa       Exponent
 
       2    3.000000e+00    0.000000e+00
       4    5.000000e+00    0.000000e+00
       8    9.000000e+00    0.000000e+00
      16    1.700000e+00    1.000000e+00
      32    3.300003e+00    1.000000e+00
      64    6.500012e+00    1.000000e+00
     128    1.289996e+00    2.000000e+00
 
TEST07
  For a banded matrix in general format,
  SGBFA factors the matrix,
  SGBSL solves a factored linear system.
  The matrix size is N =    100
  The bandwidth of the matrix is     51
 
  Factor the matrix.
 
  Solve the linear system.
 
  The first and last 5 solution entries:
  (All should be 1):
 
       1    9.999989e-01
       2    9.999988e-01
       3    9.999989e-01
       4    9.999988e-01
       5    9.999992e-01
  ......  ..............
      96    9.999996e-01
      97    9.999994e-01
      98    9.999994e-01
      99    9.999995e-01
     100    9.999994e-01
 
TEST08
  SGECO factors a general matrix and computes
  its reciprocal condition number;
  SGESL solves a factored linear system.
  The matrix size is N =      3
 
  Factor the matrix.
  The reciprocal matrix condition number =   2.464455e-02
 
  Solve the linear system.
 
  Solution returned by SGESL
  (Should be (1,2,3))
 
    1.000001e+00
    1.999999e+00
    3.000000e+00
 
  Call SGESL for a new right hand 
  side for the same, factored matrix.
 
  Solve a linear system.
 
  Solution returned by SGESL
  (should be (1,0,0))
 
    1.000000e+00
    0.000000e+00
    0.000000e+00
 
  Call SGESL for transposed problem.
 
  Call SGESL to solve a transposed linear system.
 
  Solution returned by SGESL
  (should be (-1,0,1))
 
   -1.000000e+00
    1.059638e-07
    1.000000e+00
 
TEST09
  SGEFA factors a general matrix;
  SGEDI computes the inverse and determinant
  of a factored matrix.
  The matrix size is N =      3
 
  Factor the matrix
 
  Get the inverse and determinant
 
  The determinant =   2.700000e+00 * 10 **   1.000000e+00
 
  The inverse matrix:
 
   -1.777778e+00  8.888889e-01 -1.111111e-01
    1.555555e+00 -7.777777e-01  2.222222e-01
   -1.111111e-01  2.222222e-01 -1.111111e-01
 
TEST10
  SGEFA factors a general matrix;
  SGESL solves a factored linear system;
 
  The number of equations is N =      3
 
  The matrix A:
 
    1.000000e+00  2.000000e+00  3.000000e+00
    4.000000e+00  5.000000e+00  6.000000e+00
    7.000000e+00  8.000000e+00  0.000000e+00
 
  The right hand side B is 
 
    1.400000e+01
    3.200000e+01
    2.300000e+01
 
  Factor the matrix
 
  Solve the linear system.
 
  SGESL returns the solution:
  (Should be (1,2,3))
 
    1.000001e+00
    1.999999e+00
    3.000000e+00
 
TEST11
  SGEFA factors a general matrix;
  SGESL solves a factored linear system;
  The matrix size is N =    100
 
  Factor the matrix.
 
  Solve the linear system.
 
  The first and last five solution entries:
  (All of them should be 1.)
 
       1    9.999899e-01
       2    9.999884e-01
       3    9.999897e-01
       4    9.999896e-01
       5    9.999897e-01
  ......  ..............
      96    9.999894e-01
      97    9.999894e-01
      98    9.999894e-01
      99    9.999893e-01
     100    9.999893e-01
 
TEST12
  For a general tridiagonal matrix,
  SGTSL factors and solves a linear system.
  The matrix size is N =      100
 
 
  Factor the matrix and solve the system.
 
  The first and last 5 entries of solution:
  (Should be (1,2,3,4,5,...,n-1,n))
 
         1    1.000002e+00
         2    2.000004e+00
         3    3.000005e+00
         4    4.000007e+00
         5    5.000009e+00
  ......  ..............
        96    9.600009e+01
        97    9.700008e+01
        98    9.800006e+01
        99    9.900004e+01
       100    1.000000e+02
 
TEST13
  For a positive definite symmetric 
  band matrix, SPBCO estimates the 
  reciprocal condition number.
  The matrix size is N =       10
 
  Estimate the condition.
 
  Reciprocal condition  =   2.049182e-02
 
TEST14
  For a positive definite symmetric band
  matrix, SPBDI computes the determinant as
    det = MANTISSA * 10**EXPONENT
 
  Find the determinant of the -1,2,-1 matrix
  for N = 2, 4, 8, 16, 32, 64, 128.
 
  (For this matrix, det ( A ) = N + 1.)
 
  The bandwidth of the matrix is        3
 
       N    Mantissa       Exponent
 
         2    3.000000e+00    0.000000e+00
         4    5.000000e+00    0.000000e+00
         8    9.000003e+00    0.000000e+00
        16    1.700000e+00    1.000000e+00
        32    3.299984e+00    1.000000e+00
        64    6.499888e+00    1.000000e+00
       128    1.289970e+00    2.000000e+00
 
TEST15
  For a positive definite symmetric band
  matrix,
  SPBFA computes the LU factors.
  SPBSL solves a factored linear system.
  The matrix size is N =       10
 
  Factor the matrix.
 
  Solve the linear system.
 
  The first and last solution entries:
  (All should be 1):
 
         1    9.999998e-01
         2    9.999997e-01
         3    9.999997e-01
         4    9.999996e-01
         5    9.999995e-01
  ......  ..............
         6    9.999995e-01
         7    9.999996e-01
         8    9.999998e-01
         9    1.000000e+00
        10    1.000000e+00
 
TEST16
  For a positive definite symmetric matrix,
  SPOCO estimates the reciprocal condition
  number.
  The matrix size is N =        5
 
  Estimate the condition.
 
  Reciprocal condition  =   6.756759e-02
 
TEST17
  For a positive definite symmetric matrix,
  SPOFA computes the LU factors,
  SPODI computes the inverse or determinant.
  The matrix size is N =        5
 
  Factor the matrix.
 
  Get the determinant and inverse.
 
  Determinant  =   6.000000e+00 * 10 **   0.000000e+00
 
  First row of inverse:
 
    8.333333e-01  6.666666e-01  5.000000e-01  3.333333e-01  1.666666e-01
 
TEST18
  For a positive definite symmetric matrix,
  SPOFA computes the LU factors.
  SPOSL solves a factored linear system.
  The matrix size is N =       20
 
  Factor the matrix.
 
  Solve the linear system.
 
  The first and last 5 solution entries:
  (Should be 1,2,3,4,5,...,n-1,n):
 
         1    1.000000e+00
         2    2.000001e+00
         3    3.000002e+00
         4    4.000002e+00
         5    5.000002e+00
  ......  ..............
        15    1.500001e+01
        16    1.600001e+01
        17    1.700001e+01
        18    1.800001e+01
        19    1.900001e+01
        20    2.000001e+01
 
TEST19
  For a positive definite symmetric 
  packed matrix,
  SPPCO estimates the reciprocal condition 
  number.
  The matrix size is N =        5
 
  Estimate the condition number.
 
  Reciprocal condition number =   6.756759e-02
 
TEST20
  For a positive definite symmetric 
  packed matrix,
  SPPFA factors the matrix.
  SPPDI computes the inverse or determinant.
  The matrix size is N =        5
 
  Factor the matrix.
 
  Get the determinant and inverse.
 
  Determinant  =   6.000000e+00 * 10 **   0.000000e+00
 
  Inverse:
 
    8.333333e-01  6.666666e-01  5.000000e-01  3.333333e-01  1.666666e-01
    6.666666e-01  1.333333e+00  1.000000e+00  6.666666e-01  3.333333e-01
    5.000000e-01  1.000000e+00  1.500000e+00  1.000000e+00  5.000000e-01
    3.333333e-01  6.666666e-01  1.000000e+00  1.333333e+00  6.666666e-01
    1.666666e-01  3.333333e-01  5.000000e-01  6.666666e-01  8.333333e-01
 
TEST21
  For a positive definite symmetric 
  packed matrix,
  SPPFA factors the matrix.
  SPPSL solves a factored linear system.
  The matrix size is N =       20
 
  Factor the matrix.
 
  Solve the linear system.
 
  The first and last 5 solution entries:
  (Should be 1,2,3,4,5,...,n-1,n):
 
         1    1.000000e+00
         2    2.000001e+00
         3    3.000002e+00
         4    4.000002e+00
         5    5.000002e+00
  ......  ..............
        16    1.600001e+01
        17    1.700001e+01
        18    1.800001e+01
        19    1.900001e+01
        20    2.000001e+01
 
TEST22
  For a positive definite symmetric
  tridiagonal matrix,
  SPTSL factors and solves a linear system.
  The matrix size is N =       20
 
  Factor the matrix and solve the system.
 
  The first and last 5 solution entries:
  (Should be 1,2,3,4,5,...,n-1,n):
 
         1    9.999995e-01
         2    1.999999e+00
         3    2.999998e+00
         4    3.999998e+00
         5    4.999997e+00
  ......  ..............
        16    1.600000e+01
        17    1.700000e+01
        18    1.800000e+01
        19    1.900000e+01
        20    2.000000e+01
 
TEST23
  For a general matrix,
  SQRDC computes the QR decomposition of a 
  matrix, but does not return Q and R
  explicitly.
 
  Recover Q and R using SQRSL.
 
  The original matrix A:
 
    1.000000e+00  1.000000e+00  0.000000e+00
    1.000000e+00  0.000000e+00  1.000000e+00
    0.000000e+00  1.000000e+00  1.000000e+00
 
  Decompose the matrix.
 
  The packed matrix A,
  describing Q and R:
 
   -1.414214e+00 -7.071068e-01 -7.071068e-01
    7.071068e-01  1.224745e+00  4.082482e-01
    0.000000e+00 -8.164966e-01  1.154701e+00
 
  The QRAUX vector, containing additional
  information defining Q:
 
    1.707107e+00  1.577350e+00  0.000000e+00
 
  The R factor:
 
   -1.414214e+00 -7.071068e-01 -7.071068e-01
    0.000000e+00  1.224745e+00  4.082482e-01
    0.000000e+00  0.000000e+00  1.154701e+00
 
  The Q factor:
 
   -7.071068e-01  4.082483e-01 -5.773503e-01
   -7.071068e-01 -4.082483e-01  5.773503e-01
    0.000000e+00  8.164966e-01  5.773503e-01
 
  The product Q * R:
 
    1.000000e+00  1.000000e+00 -5.960464e-08
    9.999999e-01 -5.960464e-08  1.000000e+00
    0.000000e+00  1.000000e+00  1.000000e+00
 
TEST24
  For a symmetric indefinite matrix,
  SSICO estimates the reciprocal condition
  number.
  The matrix size is N =      100
 
  Estimate the condition.
 
  Estimated reciprocal condition =   2.450499e-04
 
TEST25
  For a symmetric indefinite matrix,
  SSIFA factors the matrix,
  SSISL solves a factored linear system,
  The matrix size is N =      100
 
  Factor the matrix.
 
  Solve the linear system.
 
  The first and last 5 solution entries:
  (Should be (1,2,3,4,5,...,n-1,n))
 
         1    1.000002e+00
         2    2.000005e+00
         3    3.000007e+00
         4    4.000009e+00
         5    5.000010e+00
  ......  ..............
        96    9.599997e+01
        97    9.699998e+01
        98    9.799999e+01
        99    9.900000e+01
       100    1.000000e+02
 
TEST26
  For a symmetric indefinite packed matrix,
  SSPCO estimates the reciprocal condition
  number.
  The matrix size is N =      100
 
  Estimate the condition.
 
  Estimated reciprocal condition =   2.450499e-04
 
TEST27
  For a symmetric indefinite packed matrix,
  SSPFA factors the matrix,
  SSPSL solves a factored linear system.
  The matrix size is N =      100
 
  Factor the matrix.
 
  Solve the linear system.
 
  The first and last 5 solution entries:
  (Should be (1,2,3,4,5,...,n-1,n))
 
         1    1.000002e+00
         2    2.000005e+00
         3    3.000007e+00
         4    4.000009e+00
         5    5.000010e+00
  ......  ..............
        96    9.599997e+01
        97    9.699998e+01
        98    9.799999e+01
        99    9.900000e+01
       100    1.000000e+02
 
TEST28
  For an MxN matrix A in general storage,
  SSVDC computes the singular value 
  decomposition:
    A = U * S * V'
 
  Matrix rows M =           6
  Matrix columns N =        4
 
  The matrix A:
 
      0.2184    0.2576    0.4013    0.0945
      0.9563    0.1100    0.7547    0.0136
      0.8295    0.0438    0.7973    0.8591
      0.5617    0.6340    0.0018    0.8408
      0.4153    0.0617    0.8975    0.1231
      0.0661    0.4495    0.3508    0.0075
 
  Decompose the matrix.
 
  Singular values:
 
     1    2.228984e+00
     2    1.031751e+00
     3    6.063037e-01
     4    4.410981e-01
 
  Left Singular Vector Matrix U:
 
     -0.2149    0.0703    0.3516    0.1415   -0.5697   -0.6933
     -0.4939    0.3994    0.0408   -0.7659   -0.0327    0.0848
     -0.6210   -0.1220   -0.5412    0.3511   -0.3416    0.2581
     -0.3787   -0.8039    0.2117   -0.1950    0.3196   -0.1592
     -0.3942    0.4170    0.1135    0.4246    0.6525   -0.2275
     -0.1594    0.0218    0.7240    0.2274   -0.1725    0.6071
 
  Right Singular Vector Matrix V:
 
     -0.6377    0.0186   -0.1965   -0.7446
     -0.2122   -0.4046    0.8873   -0.0625
     -0.6122    0.5940    0.1595    0.4970
     -0.4167   -0.6951   -0.3855    0.4412
 
  The product U * S * V' (should equal A):
 
      0.2184    0.2576    0.4013    0.0945
      0.9563    0.1100    0.7547    0.0136
      0.8295    0.0438    0.7973    0.8591
      0.5617    0.6340    0.0018    0.8408
      0.4153    0.0617    0.8975    0.1231
      0.0661    0.4495    0.3508    0.0075
 
TEST29
  For a triangular matrix,
  STRCO computes the LU factors and
  computes its reciprocal condition number.
  The matrix size is N =        5
 
  Lower triangular matrix A:
 
    2.184183e-01  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
    9.563176e-01  2.575778e-01  0.000000e+00  0.000000e+00  0.000000e+00
    8.295093e-01  1.099568e-01  4.013063e-01  0.000000e+00  0.000000e+00
    5.616955e-01  4.382900e-02  7.546735e-01  9.454475e-02  0.000000e+00
    4.153071e-01  6.339657e-01  7.972869e-01  1.361689e-02  2.603030e-01
 
  Estimate the condition:
 
  The reciprocal condition number =   4.819963e-03
 
  Upper triangular matrix A:
 
    9.124837e-01  6.920665e-01  5.979169e-01  5.743659e-01  7.144712e-01
    0.000000e+00  5.616625e-01  1.889547e-01  3.670267e-01  1.177069e-01
    0.000000e+00  0.000000e+00  7.614921e-01  6.172048e-01  2.993292e-01
    0.000000e+00  0.000000e+00  0.000000e+00  3.615287e-01  8.250030e-01
    0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  8.246601e-01
 
  Estimate the condition:
 
  The reciprocal condition number =   6.140108e-02
 
TEST30
  For a triangular matrix,
  STRDI computes the determinant or inverse.
  The matrix size is N =        5
 
  Lower triangular matrix A:
 
    2.184183e-01  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
    9.563176e-01  2.575778e-01  0.000000e+00  0.000000e+00  0.000000e+00
    8.295093e-01  1.099568e-01  4.013063e-01  0.000000e+00  0.000000e+00
    5.616955e-01  4.382900e-02  7.546735e-01  9.454475e-02  0.000000e+00
    4.153071e-01  6.339657e-01  7.972869e-01  1.361689e-02  2.603030e-01
 
  The determinant =   5.556355e+00 * 10 **  -4.000000e+00
 
  The inverse matrix:
 
    4.578371e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
   -1.699827e+01  3.882322e+00  0.000000e+00  0.000000e+00  0.000000e+00
   -4.806119e+00 -1.063745e+00  2.491862e+00  0.000000e+00  0.000000e+00
    1.904303e+01  6.691244e+00 -1.989050e+01  1.057700e+01  0.000000e+00
    4.781905e+01 -6.547228e+00 -6.591866e+00 -5.533009e-01  3.841677e+00
 
  Upper triangular matrix A:
 
    9.124837e-01  6.920665e-01  5.979169e-01  5.743659e-01  7.144712e-01
    0.000000e+00  5.616625e-01  1.889547e-01  3.670267e-01  1.177069e-01
    0.000000e+00  0.000000e+00  7.614921e-01  6.172048e-01  2.993292e-01
    0.000000e+00  0.000000e+00  0.000000e+00  3.615287e-01  8.250030e-01
    0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  8.246601e-01
 
  The determinant =   1.163546e+00 * 10 **  -1.000000e+00
 
  The inverse matrix:
 
    1.095910e+00 -1.350353e+00 -5.254258e-01  5.268119e-01 -1.093052e+00
    0.000000e+00  1.780429e+00 -4.417910e-01 -1.053275e+00  9.599440e-01
    0.000000e+00  0.000000e+00  1.313211e+00 -2.241925e+00  1.766198e+00
    0.000000e+00  0.000000e+00  0.000000e+00  2.766032e+00 -2.767182e+00
    0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  1.212621e+00
 
TEST31
  For a triangular matrix,
  STRSL solves a linear system.
  The matrix size is N =        5
 
  For a lower triangular matrix A,
  solve A * x = b
 
  The solution (should be 1,2,3,4,5):
 
         1    1.000000e+00
         2    2.000000e+00
         3    3.000000e+00
         4    4.000000e+00
         5    5.000000e+00
 
  For a lower triangular matrix A,
  solve A' * x = b
 
  The solution (should be 1,2,3,4,5):
 
         1    9.999992e-01
         2    2.000001e+00
         3    2.999999e+00
         4    4.000000e+00
         5    5.000000e+00
 
  For an upper triangular matrix A,
  solve A * x = b
 
  The solution (should be 1,2,3,4,5):
 
         1    9.999999e-01
         2    2.000000e+00
         3    3.000001e+00
         4    3.999999e+00
         5    5.000000e+00
 
  For an upper triangular matrix A,
  solve A' * x = b
 
  The solution (should be 1,2,3,4,5):
 
         1    1.000000e+00
         2    2.000000e+00
         3    3.000000e+00
         4    4.000000e+00
         5    5.000000e+00
 
linpack_s_test
  Normal end of execution.
 
rc= 0
** linpack/b-linpack-z-test.f
 
linpack_z_test():
  FORTRAN77 version
  Test linpack_z().
 
TEST01
  For a double complex Hermitian 
  positive definite matrix,
  ZCHDC computes the Cholesky decomposition.
 
  The number of equations is N =        3
 
  The matrix A:
 
      2.5281    0.0000    2.1341   -0.2147    2.4187    0.2932
      2.1341    0.2147    3.0371    0.0000    2.0905    1.1505
      2.4187   -0.2932    2.0905   -1.1505    2.7638    0.0000
 
  Decompose the matrix.
 
  The Cholesky factor U:
 
      1.5900    0.0000    1.3422   -0.1350    1.5212    0.1844
      0.0000    0.0000    1.1033    0.0000    0.0668    0.6322
      0.0000    0.0000    0.0000    0.0000    0.1076    0.0000
 
  The product U^H * U: 
 
      2.5281    0.0000    2.1341   -0.2147    2.4187    0.2932
      2.1341    0.2147    3.0371    0.0000    2.0905    1.1505
      2.4187   -0.2932    2.0905   -1.1505    2.7638    0.0000
 
TEST02
  For a double complex Hermitian
  positive definite matrix,
  ZCHEX can shift columns in a Cholesky factorization.
 
  The number of equations is N =        3
 
  The matrix A:
 
      2.5281    0.0000    2.1341   -0.2147    2.4187    0.2932
      2.1341    0.2147    3.0371    0.0000    2.0905    1.1505
      2.4187   -0.2932    2.0905   -1.1505    2.7638    0.0000
 
  The vector Z:
 
    1.000000e+00  0.000000e+00
    2.000000e+00  0.000000e+00
    3.000000e+00  0.000000e+00
 
  Decompose the matrix.
 
  The Cholesky factor U:
 
      1.5900    0.0000    1.3422   -0.1350    1.5212    0.1844
      0.0000    0.0000    1.1033    0.0000    0.0668    0.6322
      0.0000    0.0000    0.0000    0.0000    0.1076    0.0000
 
  Right circular shift columns K  =        1 through L =        3
 
  Left circular shift columns K+1 =        2 through L =        3
 
  The shifted Cholesky factor U:
 
      1.6504    0.2001    1.3316   -0.5357    1.4655    0.0000
      0.0000    0.0000    0.8500   -0.5045   -0.1357   -0.5905
      0.0000    0.0000    0.0000    0.0000   -0.1051   -0.0463
 
  The shifted vector Z:
 
    1.285652e+00 -7.220655e-01
    1.472225e+00 -3.939388e-01
    3.081927e+00  6.937989e-02
 
  The shifted product U' * U: 
 
      2.7638    0.0000    2.0905   -1.1505    2.4187   -0.2932
      2.0905    1.1505    3.0371    0.0000    2.1341    0.2147
      2.4187    0.2932    2.1341   -0.2147    2.5281    0.0000
 
TEST03
  For a double complex Hermitian matrix
  ZCHUD updates a Cholesky decomposition.
  ZTRSL solves a triangular linear system.
 
  In this example, we use ZCHUD to solve a
  least squares problem R * b = z.
 
  The number of equations is P =       20
 
  Solution vector #        1
  (Should be (1,1) (2,0), (3,1) (4,0) ...)
 
         1    1.000000e+00  1.000000e+00
         2    2.000000e+00 -3.505853e-15
         3    3.000000e+00  1.000000e+00
         4    4.000000e+00 -6.412629e-15
         5    5.000000e+00  1.000000e+00
  ......  ..............
        16    1.600000e+01  2.144387e-14
        17    1.700000e+01  1.000000e+00
        18    1.800000e+01 -7.125053e-15
        19    1.900000e+01  1.000000e+00
        20    2.000000e+01 -2.344236e-14
 
TEST04
  For a double complex 
  general band storage matrix:
  ZGBCO factors the matrix and estimates the
  reciprocal condition number.
 
  The matrix order is N =      3
  The lower band is ML =       1
  The upper band is MU =       1
 
  The matrix A is 
 
  0.4499 -0.1267  0.5896  0.2601  0.0000  0.0000
 -0.8432 -0.3443  0.3911  0.3234 -0.2361  0.0775
  0.0000  0.0000 -0.1395 -0.1561  0.0186 -0.6332
 
  Estimated reciprocal condition RCOND =   3.217780e-01
 
TEST05
  For a double complex
  general band storage matrix:
  ZGBFA factors the matrix;
  ZGBSL solves a factored linear system.
 
  The matrix order is N =      3
  The lower band is ML =       1
  The upper band is MU =       1
 
  The matrix A is 
 
  0.4499 -0.1267  0.5896  0.2601  0.0000  0.0000
 -0.8432 -0.3443  0.3911  0.3234 -0.2361  0.0775
  0.0000  0.0000 -0.1395 -0.1561  0.0186 -0.6332
 
  The right hand side B is 
 
 -0.1262  0.1961
 -1.2899 -0.1811
  0.2198 -0.2125
 
  Computed                     Exact
  Solution                     Solution
 
  8.928497e-01  1.031361e-02  8.928497e-01  1.031361e-02
 -5.604651e-01  7.637951e-01 -5.604651e-01  7.637951e-01
  3.063566e-01  2.627523e-02  3.063566e-01  2.627523e-02
 
TEST06
  For a double complex
  general band storage matrix:
  ZGBFA factors the matrix.
  ZGBDI computes the determinant.
 
  The matrix order is N =      3
  The lower band is ML =       1
  The upper band is MU =       1
 
  The matrix A is 
 
  0.4499 -0.1267  0.5896  0.2601  0.0000  0.0000
 -0.8432 -0.3443  0.3911  0.3234 -0.2361  0.0775
  0.0000  0.0000 -0.1395 -0.1561  0.0186 -0.6332
 
  Determinant =   3.162239e+00 -3.918540e+00 * 10**  -1.000000e+00
 
TEST07
  For a double complex
  general storage matrix:
  ZGECO factors the matrix and estimates the
  reciprocal condition number.
 
  The matrix order is N =      3
 
  The matrix A is 
 
  0.4499 -0.1267  0.3911  0.3234  0.0186 -0.6332
 -0.8432 -0.3443 -0.1395 -0.1561  0.8928  0.0103
  0.5896  0.2601 -0.2361  0.0775 -0.5605  0.7638
 
  Estimated reciprocal condition RCOND =   1.229364e-02
 
TEST08
  For a double complex
  general storage matrix:
  ZGEFA factors the matrix.
  ZGESL solves a linear system.
 
  The matrix order is N =      3
 
  The matrix A is 
 
  0.4499 -0.1267  0.3911  0.3234  0.0186 -0.6332
 -0.8432 -0.3443 -0.1395 -0.1561  0.8928  0.0103
  0.5896  0.2601 -0.2361  0.0775 -0.5605  0.7638
 
  The right hand side B is 
 
  0.6063 -0.3917
 -0.1281 -0.0787
 -0.0931  0.5765
 
  Computed                     Exact
  Solution                     Solution
 
  3.063566e-01  2.627523e-02  3.063566e-01  2.627523e-02
  5.008043e-01 -7.799307e-01  5.008043e-01 -7.799307e-01
  3.504709e-01  1.655507e-02  3.504709e-01  1.655507e-02
 
TEST09
  For a double complex
  general storage matrix:
  ZGEFA factors the matrix.
  ZGEDI computes the determinant or inverse.
 
  The matrix order is N =      3
 
  The matrix A is 
 
  0.4499 -0.1267  0.3911  0.3234  0.0186 -0.6332
 -0.8432 -0.3443 -0.1395 -0.1561  0.8928  0.0103
  0.5896  0.2601 -0.2361  0.0775 -0.5605  0.7638
 
  Determinant =  -3.630740e+00 -5.582360e+00 * 10**  -2.000000e+00
 
  The product inv(A) * A is 
 
  1.0000  0.0000 -0.0000  0.0000  0.0000 -0.0000
  0.0000 -0.0000  1.0000  0.0000  0.0000 -0.0000
  0.0000  0.0000 -0.0000 -0.0000  1.0000 -0.0000
 
TEST10
  For a double complex
  tridiagonal matrix:
  ZGTSL solves a linear system.
 
  Matrix order N =     10
 
  Computed                     Exact
  Solution                     Solution
 
  1.000000e+00  1.000000e+01  1.000000e+00  1.000000e+01
  2.000000e+00  2.000000e+01  2.000000e+00  2.000000e+01
  3.000000e+00  3.000000e+01  3.000000e+00  3.000000e+01
  4.000000e+00  4.000000e+01  4.000000e+00  4.000000e+01
  5.000000e+00  5.000000e+01  5.000000e+00  5.000000e+01
  6.000000e+00  6.000000e+01  6.000000e+00  6.000000e+01
  7.000000e+00  7.000000e+01  7.000000e+00  7.000000e+01
  8.000000e+00  8.000000e+01  8.000000e+00  8.000000e+01
  9.000000e+00  9.000000e+01  9.000000e+00  9.000000e+01
  1.000000e+01  1.000000e+02  1.000000e+01  1.000000e+02
 
TEST11
  For a double complex Hermitian matrix:
  ZHICO factors the matrix and estimates
  the reciprocal condition number.
 
  The matrix order is N =      3
 
  The matrix A is 
 
  0.2184  0.0000  0.4685 -0.8584 -0.6458  0.3803
  0.4685  0.8584  0.0661  0.0000  0.3911  0.3234
 -0.6458 -0.3803  0.3911 -0.3234  0.0438  0.0000
 
  Estimated reciprocal condition RCOND =   2.359186e-01
 
TEST12
  For a double complex Hermitian matrix:
  ZHIFA factors the matrix.
  ZHISL solves a linear system.
 
  The matrix order is N =      3
 
  The matrix A is 
 
  0.2184  0.0000  0.4685 -0.8584 -0.6458  0.3803
  0.4685  0.8584  0.0661  0.0000  0.3911  0.3234
 -0.6458 -0.3803  0.3911 -0.3234  0.0438  0.0000
 
  The right hand side B is 
 
  0.3915  1.3499
  0.4188  0.5569
 -0.4378 -0.1823
 
  Computed                     Exact
  Solution                     Solution
 
  7.370818e-01  3.011248e-01  7.370818e-01  3.011248e-01
 -5.456433e-01  3.896310e-01 -5.456433e-01  3.896310e-01
  2.543269e-01 -8.306572e-01  2.543269e-01 -8.306572e-01
 
TEST13
  For a double complex hermitian matrix:
  ZHIFA factors the matrix.
  ZHIDI computes the determinant, inverse,
  or inertia.
 
  The matrix order is N =      3
 
  The matrix A is 
 
  0.2184  0.0000  0.4685 -0.8584 -0.6458  0.3803
  0.4685  0.8584  0.0661  0.0000  0.3911  0.3234
 -0.6458 -0.3803  0.3911 -0.3234  0.0438  0.0000
 
  Determinant =  -8.700617e+00 * 10**  -1.000000e+00
 
  The inertia:
 
       2
       1
       0
 
  The product inv(A) * A is 
 
  1.0000  0.0000 -0.0000  0.0000  0.0000 -0.0000
 -0.0000  0.0000  1.0000 -0.0000 -0.0000  0.0000
  0.0000  0.0000 -0.0000  0.0000  1.0000  0.0000
 
TEST14
  For a double complex Hermitian matrix
  using packed storage,
  ZHPCO factors the matrix and estimates
  the reciprocal condition number.
 
  The matrix order is N =      3
 
  The matrix A is 
 
  0.2184  0.0000  0.4685 -0.8584  0.5896  0.2601
  0.4685  0.8584  0.5617  0.0000  0.3911  0.3234
  0.5896 -0.2601  0.3911 -0.3234  0.0438  0.0000
 
  Estimated reciprocal condition RCOND =   3.400641e-02
 
TEST15
  For a double complex Hermitian matrix,
  using packed storage,
  ZHPFA factors the matrix.
  ZHPSL solves a linear system.
 
  The matrix order is N =      3
 
  The matrix A is 
 
  0.2184  0.0000  0.4685 -0.8584  0.5896  0.2601
  0.4685  0.8584  0.5617  0.0000  0.3911  0.3234
  0.5896 -0.2601  0.3911 -0.3234  0.0438  0.0000
 
  The right hand side B is 
 
  0.6058  0.2931
  0.1484  0.7500
  0.4367  0.2783
 
  Computed                     Exact
  Solution                     Solution
 
  7.370818e-01  3.011248e-01  7.370818e-01  3.011248e-01
 -5.456433e-01  3.896310e-01 -5.456433e-01  3.896310e-01
  2.543269e-01 -8.306572e-01  2.543269e-01 -8.306572e-01
 
TEST16
  For a double complex hermitian matrix,
  using packed storage,
  ZHPFA factors the matrix.
  ZHPDI computes the determinant, inverse,
  or inertia.
 
  The matrix order is N =      3
 
  The matrix A is 
 
  0.2184  0.0000  0.4685 -0.8584  0.5896  0.2601
  0.4685  0.8584  0.5617  0.0000  0.3911  0.3234
  0.5896 -0.2601  0.3911 -0.3234  0.0438  0.0000
 
  Determinant =   1.215350e+00 * 10**  -1.000000e+00
 
  The inertia:
 
       1
       2
       0
 
  The product inv(A) * A is 
 
  1.0000  0.0000  0.0000  0.0000  0.0000  0.0000
 -0.0000 -0.0000  1.0000  0.0000 -0.0000 -0.0000
  0.0000 -0.0000 -0.0000 -0.0000  1.0000 -0.0000
 
TEST17
  For a double complex positive definite 
  hermitian band matrix,
  ZPBCO estimates the reciprocal condition number.
  The matrix size is N =        3
 
  Estimate the condition.
 
  Reciprocal condition  =   1.535879e-01
 
TEST18
  For a double complex positive definite 
  hermitian band matrix,
  ZPBDI computes the determinant as
    det = MANTISSA * 10**EXPONENT
 
  Determinant =   6.095706e+00 * 10**   1.000000e+00
 
TEST19
  For a double complex positive definite 
  hermitian band matrix,
  ZPBFA computes the LU factors.
  ZPBSL solves a factored linear system.
  The matrix size is N =        3
 
  Factor the matrix.
 
  Solve the linear system.
 
  The solution:
  (Should be roughly (1,2,3)):
 
         1    1.000000e+00  2.086951e-16
         2    2.000000e+00 -4.429217e-16
         3    3.000000e+00  2.653009e-16
 
TEST20
  For a double complex
  Hermitian positive definite matrix,
  ZPOCO estimates the reciprocal condition number.
  The matrix size is N =        3
 
  Estimate the condition.
 
  Reciprocal condition  =   6.019063e-04
 
TEST21
  For a double complex
  Hermitian positive definite matrix,
  ZPOFA computes the LU factors,
  ZPODI computes the inverse or determinant.
  The matrix size is N =        3
 
  Factor the matrix.
 
  Get the determinant and inverse.
 
  Determinant  =   3.560195e+00 * 10 **  -2.000000e+00
 
  First row of inverse:
 
     75.8413    0.0000  -14.1736  -44.2782  -74.0826   31.3459
 
TEST22
  For a double complex
  Hermitian positive definite matrix,
  ZPOFA computes the LU factors.
  ZPOSL solves a factored linear system.
  The matrix size is N =        3
 
  Factor the matrix.
 
  Solve the linear system.
 
  The solution:
  (Should be (1+2i),(3+4i),(5+6i):
 
         1    1.000000e+00  2.000000e+00
         2    3.000000e+00  4.000000e+00
         3    5.000000e+00  6.000000e+00
 
TEST23
  For a double complex
  Hermitian positive definite packed matrix,
  ZPPCO estimates the reciprocal condition number.
  The matrix size is N =        3
 
  Estimate the condition number.
 
  Reciprocal condition number =   6.019063e-04
 
TEST24
  For a double complex
  Hermitian positive definite packed matrix,
  ZPPFA factors the matrix.
  ZPPDI computes the inverse or determinant.
  The matrix size is N =        3
 
  Factor the matrix.
 
  Get the determinant and inverse.
 
  Determinant  =   3.560195e+00 * 10 **  -2.000000e+00
 
  Inverse:
 
     75.8413    0.0000  -14.1736  -44.2782  -74.0826   31.3459
    -14.1736   44.2782   29.5233    0.0000   -5.2299  -49.5357
    -74.0826  -31.3459   -5.2299   49.5357   86.4451    0.0000
 
TEST25
  For a double complex
  Hermitian positive definite packed matrix,
  ZPPFA factors the matrix.
  ZPPSL solves a factored linear system.
  The matrix size is N =        3
 
  Factor the matrix.
 
  Solve the linear system.
 
  The solution:
  (Should be (1+2i),(3+4i),(5+6i):
 
         1    1.000000e+00  2.000000e+00
         2    3.000000e+00  4.000000e+00
         3    5.000000e+00  6.000000e+00
 
TEST26
  For a double complex
  Hermitian positive definite 
  tridiagonal matrix,
  ZPTSL factors and solves a linear system.
  The matrix size is N =        3
 
  Factor the matrix and solve the system.
 
  The solution:
  (Should be roughly (1,2,3)):
 
         1    1.000000e+00  1.716296e-16
         2    2.000000e+00 -3.143010e-16
         3    3.000000e+00  1.864433e-16
 
TEST27
  For a double complex general matrix,
  ZQRDC computes the QR decomposition of a 
  matrix, but does not return Q and R explicitly.
 
  Show how Q and R can be recovered using ZQRSL.
 
  The matrix A is 
 
  0.4499 -0.1267  0.3911  0.3234  0.0186 -0.6332
 -0.8432 -0.3443 -0.1395 -0.1561  0.8928  0.0103
  0.5896  0.2601 -0.2361  0.0775 -0.5605  0.7638
 
  Decompose the matrix.
 
  The packed matrix A which describes Q and R:
 
 -1.1644  0.3279 -0.2355 -0.2650  0.4991 -0.6664
 -0.5938 -0.4629  0.1053 -0.4758 -1.1703  0.1429
  0.4109  0.3391 -0.3781  0.6677 -0.0980  0.0561
 
  The QRAUX vector, containing some
  additional information defining Q:
 
    1.3864 -0.0000  1.6413  0.0000  0.0000  0.0000
 
  The R factor:
 
   -1.1644  0.3279 -0.2355 -0.2650  0.4991 -0.6664
    0.0000  0.0000  0.1053 -0.4758 -1.1703  0.1429
    0.0000  0.0000  0.0000  0.0000 -0.0980  0.0561
 
  The Q factor:
 
   -0.3864 -0.0000 -0.3098  0.6994  0.2701  0.4389
    0.5938  0.4629 -0.2751 -0.1962  0.4090  0.3895
   -0.4109 -0.3391  0.1152 -0.5362  0.6140  0.1962
 
  The product Q * R:
 
    0.4499 -0.1267  0.3911  0.3234  0.0186 -0.6332
   -0.8432 -0.3443 -0.1395 -0.1561  0.8928  0.0103
    0.5896  0.2601 -0.2361  0.0775 -0.5605  0.7638
 
TEST28
  For a double complex symmetric matrix:
  ZSICO factors the matrix and estimates
  the reciprocal condition number.
 
  The matrix order is N =      3
 
  The matrix A is 
 
  0.4499 -0.1267 -0.8432 -0.3443  0.5896  0.2601
 -0.8432 -0.3443  0.3911  0.3234 -0.1395 -0.1561
  0.5896  0.2601 -0.1395 -0.1561 -0.2361  0.0775
 
  Estimated reciprocal condition RCOND =   4.753229e-02
 
TEST29
  For a double complex symmetric matrix:
  ZSIFA factors the matrix.
  ZSISL solves a linear system.
 
  The matrix order is N =      3
 
  The matrix A is 
 
  0.4499 -0.1267 -0.8432 -0.3443  0.5896  0.2601
 -0.8432 -0.3443  0.3911  0.3234 -0.1395 -0.1561
  0.5896  0.2601 -0.1395 -0.1561 -0.2361  0.0775
 
  The right hand side B is 
 
 -1.3503 -0.2987
  0.3096  0.8013
  0.1259 -0.7331
 
  Computed                     Exact
  Solution                     Solution
 
  1.859929e-02 -6.332143e-01  1.859929e-02 -6.332143e-01
  8.928497e-01  1.031361e-02  8.928497e-01  1.031361e-02
 -5.604651e-01  7.637951e-01 -5.604651e-01  7.637951e-01
 
TEST30
  For a double complex symmetric matrix:
  ZSIFA factors the matrix.
  ZSIDI computes the determinant or inverse.
 
  The matrix order is N =      3
 
  The matrix A is 
 
  0.4499 -0.1267 -0.8432 -0.3443  0.5896  0.2601
 -0.8432 -0.3443  0.3911  0.3234 -0.1395 -0.1561
  0.5896  0.2601 -0.1395 -0.1561 -0.2361  0.0775
 
  Determinant =   9.438432e-01  9.966606e-01 * 10**  -1.000000e+00
 
  The product inv(A) * A is 
 
  1.0000  0.0000  0.0000 -0.0000 -0.0000  0.0000
  0.0000  0.0000  1.0000 -0.0000 -0.0000  0.0000
  0.0000  0.0000 -0.0000 -0.0000  1.0000  0.0000
 
TEST31
  For a double complex symmetric matrix
  in packed storage,
  ZSPCO factors the matrix and estimates
  the reciprocal condition number.
 
  The matrix order is N =      3
 
  The matrix A is 
 
  0.4499 -0.1267 -0.8432 -0.3443  0.3911  0.3234
 -0.8432 -0.3443  0.5896  0.2601 -0.1395 -0.1561
  0.3911  0.3234 -0.1395 -0.1561 -0.2361  0.0775
 
  Estimated reciprocal condition RCOND =   5.761920e-02
 
TEST32
  For a double complex symmetric matrix
  in packed storage,
  ZSPFA factors the matrix.
  ZSPSL solves a linear system.
 
  The matrix order is N =      3
 
  The matrix A is 
 
  0.4499 -0.1267 -0.8432 -0.3443  0.3911  0.3234
 -0.8432 -0.3443  0.5896  0.2601 -0.1395 -0.1561
  0.3911  0.3234 -0.1395 -0.1561 -0.2361  0.0775
 
  The right hand side B is 
 
 -1.2874 -0.4858
  0.4875  0.7468
  0.1623 -0.6062
 
  Computed                     Exact
  Solution                     Solution
 
  1.859929e-02 -6.332143e-01  1.859929e-02 -6.332143e-01
  8.928497e-01  1.031361e-02  8.928497e-01  1.031361e-02
 -5.604651e-01  7.637951e-01 -5.604651e-01  7.637951e-01
 
TEST33
  For a double complex symmetric matrix
  in packed storage,
  ZSPFA factors the matrix.
  ZSPDI computes the determinant or inverse.
 
  The matrix order is N =      3
 
  The matrix A is 
 
  0.4499 -0.1267 -0.8432 -0.3443  0.3911  0.3234
 -0.8432 -0.3443  0.5896  0.2601 -0.1395 -0.1561
  0.3911  0.3234 -0.1395 -0.1561 -0.2361  0.0775
 
  Determinant =   7.885271e-01  1.041451e+00 * 10**  -1.000000e+00
 
  The product inv(A) * A is 
 
  1.0000  0.0000 -0.0000  0.0000  0.0000  0.0000
  0.0000  0.0000  1.0000  0.0000  0.0000  0.0000
  0.0000  0.0000 -0.0000  0.0000  1.0000 -0.0000
 
TEST34
  For an MxN matrix A in double complex general storage,
  ZSVDC computes the singular value decomposition:
    A = U * S * V^H
 
  Matrix rows M =           4
  Matrix columns N =        3
 
  The matrix A:
 
      0.4499   -0.1267   -0.1395   -0.1561   -0.5605    0.7638
     -0.8432   -0.3443   -0.2361    0.0775    0.3064    0.0263
      0.5896    0.2601    0.0186   -0.6332    0.5008   -0.7799
      0.3911    0.3234    0.8928    0.0103    0.3505    0.0166
 
  Decompose the matrix.
 
  Singular values:
 
     1    1.729968e+00  0.000000e+00
     2    1.300870e+00  0.000000e+00
     3    5.604977e-01  0.000000e+00
 
  Left Singular Vector Matrix U:
 
      0.0006   -0.3456   -0.6466   -0.1036   -0.1390    0.4739    0.3709    0.2651
     -0.3518   -0.0920    0.4726    0.3090   -0.3977   -0.0478    0.3892    0.4868
      0.6124    0.3271    0.1879    0.2403    0.3439    0.3499    0.0786    0.4219
      0.1009    0.5061   -0.3989    0.0116   -0.0505   -0.5936    0.4616    0.0798
 
  Right Singular Vector Matrix V:
 
      0.5906    0.0000   -0.5855    0.0000    0.5554    0.0000
      0.0170    0.5445   -0.3736   -0.0447   -0.4119   -0.6261
     -0.1614    0.5731    0.1563    0.7009    0.3363    0.1295
 
  The product U * S * V^H (should equal A):
 
      0.4499   -0.1267   -0.1395   -0.1561   -0.5605    0.7638
     -0.8432   -0.3443   -0.2361    0.0775    0.3064    0.0263
      0.5896    0.2601    0.0186   -0.6332    0.5008   -0.7799
      0.3911    0.3234    0.8928    0.0103    0.3505    0.0166
 
TEST345
  For an MxN matrix A in double complex general storage,
  ZSVDC computes the singular value decomposition:
    A = U * S * V^H
 
  Matrix rows M =           4
  Matrix columns N =        4
 
  The matrix A:
 
      1.0000    0.0000    1.0000    0.0000    1.0000    0.0000    1.0000    0.0000
      0.0000   -1.0000   -1.0000    0.0000    1.0000    0.0000    0.0000    1.0000
     -1.0000    0.0000   -1.0000    0.0000    1.0000    0.0000   -1.0000    0.0000
      0.0000    1.0000    1.0000    0.0000    1.0000    0.0000    0.0000   -1.0000
 
  Decompose the matrix.
 
  Singular values:
 
     1    2.828427e+00  0.000000e+00
     2    2.000000e+00  0.000000e+00
     3    2.000000e+00  0.000000e+00
     4    0.000000e+00  0.000000e+00
 
  Left Singular Vector Matrix U:
 
      0.3536    0.3536    0.4218   -0.2684   -0.3536    0.3536   -0.3298    0.3758
     -0.3536   -0.3536    0.4218   -0.2684   -0.3536    0.3536    0.3298   -0.3758
     -0.3536   -0.3536    0.4218   -0.2684    0.3536   -0.3536   -0.3298    0.3758
      0.3536    0.3536    0.4218   -0.2684    0.3536   -0.3536    0.3298   -0.3758
 
  Right Singular Vector Matrix V:
 
      0.5000    0.0000    0.0000    0.0000   -0.7071    0.0000   -0.5000    0.0000
      0.5000    0.5000   -0.0000   -0.0000    0.0000    0.0000    0.5000    0.5000
      0.0000    0.0000    0.8437   -0.5369    0.0000    0.0000    0.0000    0.0000
     -0.0000    0.5000   -0.0000   -0.0000   -0.0000    0.7071    0.0000   -0.5000
 
  The product U * S * V^H (should equal A):
 
      1.0000    0.0000    1.0000   -0.0000    1.0000    0.0000    1.0000    0.0000
     -0.0000   -1.0000   -1.0000    0.0000    1.0000    0.0000    0.0000    1.0000
     -1.0000    0.0000   -1.0000    0.0000    1.0000   -0.0000   -1.0000    0.0000
      0.0000    1.0000    1.0000   -0.0000    1.0000    0.0000    0.0000   -1.0000
 
TEST35
  For a double complex triangular matrix,
  ZTRCO estimates the condition.
 
  Matrix order N =      3
 
  Estimated reciprocal condition RCOND =   7.261353e-02
 
TEST36
  For a double complex triangular matrix,
  ZTRDI computes the determinant or inverse.
 
  Matrix order N =      3
 
  Determinant =  -7.367153e+00  1.310818e+00 * 10**  -2.000000e+00
 
  The product inv(A) * A is 
 
  1.0000  0.0000  0.0000  0.0000  0.0000  0.0000
  0.0000 -0.0000  1.0000  0.0000  0.0000  0.0000
  0.0000  0.0000  0.0000  0.0000  1.0000  0.0000
 
TEST37
  For a double complex triangular matrix,
  ZTRSL solves a linear system.
 
  Matrix order N =     10
 
  Computed                     Exact
  Solution                     Solution
 
  1.000000e+00  1.000000e+01  1.000000e+00  1.000000e+01
  2.000000e+00  2.000000e+01  2.000000e+00  2.000000e+01
  3.000000e+00  3.000000e+01  3.000000e+00  3.000000e+01
  4.000000e+00  4.000000e+01  4.000000e+00  4.000000e+01
  5.000000e+00  5.000000e+01  5.000000e+00  5.000000e+01
  6.000000e+00  6.000000e+01  6.000000e+00  6.000000e+01
  7.000000e+00  7.000000e+01  7.000000e+00  7.000000e+01
  8.000000e+00  8.000000e+01  8.000000e+00  8.000000e+01
  9.000000e+00  9.000000e+01  9.000000e+00  9.000000e+01
  1.000000e+01  1.000000e+02  1.000000e+01  1.000000e+02
 
linpack_z_test():
  Normal end of execution.
 
rc= 0
** linpack/dch.f
1linpack tester, dch**
 this version dated 08/14/78.


1case  1

 5 x 5 no pivoting.

 job and jpvt before the decomposition.
    0
    0    0    0    0    0

 the value of  kd  =    5

 jpvt

     0    0    0    0    0


 a - trans(r)*r =  4.91753434e+291


1case  2

 monoelemental matrix.

 job and jpvt before the decomposition.
    1
    0

 the value of  kd  =    1

 jpvt

     1


 a - trans(r)*r =   0.00000000e+00


1case  3

 8 x 8 pivot logic test.

 job and jpvt before the decomposition.
    1
    1   -1    1   -1    1   -1    1   -1

 the value of  kd  =    8

 jpvt

     1    3    5    7    2    6    4    8


 a - trans(r)*r =  9.60995215e+291


1case  4

 6 x 6 negative eigenvalue test.

 job and jpvt before the decomposition.
    1
    0    0    0    0    0    0

 the value of  kd  =    5

 jpvt

     1    5    2    6    3    4


 a - trans(r)*r =  9.66060498e+307


1case  5

 25 x 25 matrix.

 job and jpvt before the decomposition.
    1
    0    0    0    0    0    0    0    0    0    0

 job and jpvt before the decomposition.
    0
    0    0    0    0    0    0    0    0    0    0

 job and jpvt before the decomposition.
    0
    0    0    0

 the value of  kd  =   25

 jpvt

    25   24   23   22   21   20   19   18   17   16

 jpvt

    15   14   13   12   11   10    9    8    7    6

 jpvt

     5    4    3    2    1


 a - trans(r)*r =  1.03809541e+292


1case  6

 5 x 5 pivot and underflow test.

 job and jpvt before the decomposition.
    1
    0    0    0    0    0

 the value of  kd  =    0

 jpvt

     1    2    3    4    5


 a - trans(r)*r =  2.69653970e+308


1case  7

 5 x 5 pivot and overflow test.

 job and jpvt before the decomposition.
    1
    0    0    0    0    0

 the value of  kd  =    5

 jpvt

     5    4    3    2    1


 a - trans(r)*r =  8.84212661e+291



 end of test

rc= 0
** linpack/dg.f
1linpack tester, dge**, dgb**
 this version dated 08/14/78.

 epsilon     = 2.22507e-308
 
 kase  1   hilbert slice   
 n =   3
 norm(a)     =  1.83333e+00
 
  1.0000e+00 5.0000e-01 3.3333e-01
  5.0000e-01 3.3333e-01 2.5000e-01
  3.3333e-01 2.5000e-01 2.0000e-01
 

 null =
  8.347908e-02
 -4.665056e-01
  4.500153e-01
 
 ml = 2  mu = 2
 cond        =  6.80809e+02
 actual cond =  7.48000e+02
 det fract   =  4.62963
 det expon   =      -4.

 x =
  1.000000e+00
 -3.330669e-16
 -1.000000e+00

 xt =
  1.000000e+00
  0.000000e+00
 -1.000000e+00
 
 error norms =  5.55112e-16  2.22045e-16
 resid norms =  2.77556e-17  2.22045e-16
 norm(a - lu)=  0.00000e+00
 norm(a*ai-i)=  2.13163e-14
 
 test ratios.. e = epsilon
 
     cond     actual    error    error-t    resid    resid-t    a - lu   a*ai-i 
   -------   -------   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x  e*cond*x    e*a*x     e*a*x      e*a     e*cond 
 
    0.9102    1.0987 ********* ********* ********* *********    0.0000 *********
 
       0         0         1         1         1         1         0         1
       1 indicates suspicious ratio
 

 band routines agree


 *************

 kase  2   hilbert slice   
 n =   6
 norm(a)     =  1.83333e+00
 ml = 2  mu = 3
 cond        =  3.99334e+01
 actual cond =  6.02128e+01
 det fract   =  3.20145
 det expon   =      -5.
 error norms =  1.19341e-15  1.94289e-16
 resid norms =  4.09487e-17  1.70003e-16
 norm(a - lu)=  2.77556e-17
 norm(a*ai-i)=  1.33227e-15
 
 test ratios.. e = epsilon
 
     cond     actual    error    error-t    resid    resid-t    a - lu   a*ai-i 
   -------   -------   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x  e*cond*x    e*a*x     e*a*x      e*a     e*cond 
 
    0.6632    1.5078 ********* ********* ********* ********* ********* *********
 
       0         0         1         1         1         1         1         1
       1 indicates suspicious ratio
 

 band routines agree


 *************

 kase  3   hilbert slice   
 n =   9
 norm(a)     =  1.83333e+00
 ml = 2  mu = 3
 cond        =  2.91488e+03
 actual cond =  4.08636e+03
 det fract   =  1.90870
 det expon   =     -10.
 error norms =  6.09801e-14  2.96291e-15
 resid norms =  1.34451e-16  3.74700e-16
 norm(a - lu)=  2.77556e-17
 norm(a*ai-i)=  2.08278e-13
 
 test ratios.. e = epsilon
 
     cond     actual    error    error-t    resid    resid-t    a - lu   a*ai-i 
   -------   -------   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x  e*cond*x    e*a*x     e*a*x      e*a     e*cond 
 
    0.7133    1.4019 ********* ********* ********* ********* ********* *********
 
       0         0         1         1         1         1         1         1
       1 indicates suspicious ratio
 

 band routines agree


 *************

 kase  4   monoelemental   
 n =   1
 norm(a)     =  3.00000e+00
 
  3.0000e+00
 

 null =
  1.000000e+00
 
 ml = 0  mu = 0
 cond        =  1.00000e+00
 actual cond =  1.00000e+00
 det fract   =  3.00000
 det expon   =       0.

 x =
  1.000000e+00

 xt =
  1.000000e+00
 
 error norms =  0.00000e+00  0.00000e+00
 resid norms =  0.00000e+00  0.00000e+00
 norm(a - lu)=  0.00000e+00
 norm(a*ai-i)=  0.00000e+00
 
 test ratios.. e = epsilon
 
     cond     actual    error    error-t    resid    resid-t    a - lu   a*ai-i 
   -------   -------   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x  e*cond*x    e*a*x     e*a*x      e*a     e*cond 
 
    1.0000    1.0000    0.0000    0.0000    0.0000    0.0000    0.0000    0.0000
 
 no suspicious ratios
 

 band routines agree


 *************

 kase  5   monoelemental   
 n =   1
 norm(a)     =  0.00000e+00
 
  0.0000e+00
 

 null =
  1.000000e+00
 
 ml = 0  mu = 0
 1/cond      =  0.00000e+00

 exact singularity.


 band routines agree


 *************

 kase  6   tridiagonal     
 n =  15
 norm(a)     =  6.00000e+00
 ml = 1  mu = 1
 cond        =  2.87861e+00
 actual cond =  2.99984e+00
 det fract   =  4.08856
 det expon   =       8.
 error norms =  2.97483e-17  0.00000e+00
 resid norms =  2.51793e-16  0.00000e+00
 norm(a - lu)=  1.11022e-16
 norm(a*ai-i)=  3.50711e-16
 
 test ratios.. e = epsilon
 
     cond     actual    error    error-t    resid    resid-t    a - lu   a*ai-i 
   -------   -------   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x  e*cond*x    e*a*x     e*a*x      e*a     e*cond 
 
    0.9596    1.0421 *********    0.0000 *********    0.0000 ********* *********
 
       0         0         1         0         1         0         1         1
       1 indicates suspicious ratio
 

 band routines agree


 *************

 kase  7   tridiagonal     
 n =  15
 norm(a)     =  1.05000e+02
 ml = 1  mu = 1
 cond        =  1.28735e+16

 maybe singular.

 actual cond =  1.34844e+16
 det fract   =  8.16990
 det expon   =      13.
 error norms =  0.00000e+00  0.00000e+00
 resid norms =  0.00000e+00  0.00000e+00
 norm(a - lu)=  8.88178e-16
 norm(a*ai-i)=  8.01091e-02
 
 test ratios.. e = epsilon
 
     cond     actual    error    error-t    resid    resid-t    a - lu   a*ai-i 
   -------   -------   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x  e*cond*x    e*a*x     e*a*x      e*a     e*cond 
 
    0.9547    1.0474    0.0000    0.0000    0.0000    0.0000 ********* *********
 
       0         0         0         0         0         0         1         1
       1 indicates suspicious ratio
 

 band routines agree


 *************

 kase  8   tridiagonal     
 n =  15
 norm(a)     =  1.05000e+02
 ml = 1  mu = 1
 cond        =  1.28735e+16

 maybe singular.

 actual cond =  1.34844e+16
 det fract   =  8.16990
 det expon   =      13.
 error norms =  3.61982e-03  2.26402e-02
 resid norms =  3.28581e-14  1.00364e-13
 norm(a - lu)=  1.08420e-19
 norm(a*ai-i)=  9.91831e-04
 
 test ratios.. e = epsilon
 
     cond     actual    error    error-t    resid    resid-t    a - lu   a*ai-i 
   -------   -------   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x  e*cond*x    e*a*x     e*a*x      e*a     e*cond 
 
    0.9547    1.0474 ********* ********* ********* ********* ********* *********
 
       0         0         1         1         1         1         1         1
       1 indicates suspicious ratio
 

 band routines agree


 *************

 kase  9   rank one        
 n =   5
 norm(a)     =  1.11110e+04
 ml = 4  mu = 4
 1/cond      =  0.00000e+00

 exact singularity.


 band routines agree


 *************

 kase 10   zero column     
 n =   4
 norm(a)     =  4.16667e+00
 ml = 3  mu = 3
 1/cond      =  0.00000e+00

 exact singularity.


 band routines agree


 *************

 kase 11   test cond       
 n =   5
 norm(a)     =  9.00000e+00
 ml = 4  mu = 4
 cond        =  1.04001e+03
 actual cond =  1.53900e+03
 det fract   =  1.00000
 det expon   =       0.
 error norms =  0.00000e+00  0.00000e+00
 resid norms =  0.00000e+00  0.00000e+00
 norm(a - lu)=  0.00000e+00
 norm(a*ai-i)=  0.00000e+00
 
 test ratios.. e = epsilon
 
     cond     actual    error    error-t    resid    resid-t    a - lu   a*ai-i 
   -------   -------   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x  e*cond*x    e*a*x     e*a*x      e*a     e*cond 
 
    0.6758    1.4798    0.0000    0.0000    0.0000    0.0000    0.0000    0.0000
 
 no suspicious ratios
 

 band routines agree


 *************

 kase 12   identity        
 n =   3
 norm(a)     =  1.00000e+00
 
  1.0000e+00 0.0000e+00 0.0000e+00
  0.0000e+00 1.0000e+00 0.0000e+00
  0.0000e+00 0.0000e+00 1.0000e+00
 

 null =
  3.333333e-01
  3.333333e-01
  3.333333e-01
 
 ml = 0  mu = 0
 cond        =  1.00000e+00
 actual cond =  1.00000e+00
 det fract   =  1.00000
 det expon   =       0.

 x =
  1.000000e+00
  0.000000e+00
 -1.000000e+00

 xt =
  1.000000e+00
  0.000000e+00
 -1.000000e+00
 
 error norms =  0.00000e+00  0.00000e+00
 resid norms =  0.00000e+00  0.00000e+00
 norm(a - lu)=  0.00000e+00
 norm(a*ai-i)=  0.00000e+00
 
 test ratios.. e = epsilon
 
     cond     actual    error    error-t    resid    resid-t    a - lu   a*ai-i 
   -------   -------   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x  e*cond*x    e*a*x     e*a*x      e*a     e*cond 
 
    1.0000    1.0000    0.0000    0.0000    0.0000    0.0000    0.0000    0.0000
 
 no suspicious ratios
 

 band routines agree


 *************

 kase 13   upper triangular
 n =   6
 norm(a)     =  2.10000e+01
 ml = 0  mu = 5
 cond        =  7.77000e+01
 actual cond =  8.40000e+01
 det fract   =  1.00000
 det expon   =       0.
 error norms =  0.00000e+00  0.00000e+00
 resid norms =  0.00000e+00  0.00000e+00
 norm(a - lu)=  0.00000e+00
 norm(a*ai-i)=  0.00000e+00
 
 test ratios.. e = epsilon
 
     cond     actual    error    error-t    resid    resid-t    a - lu   a*ai-i 
   -------   -------   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x  e*cond*x    e*a*x     e*a*x      e*a     e*cond 
 
    0.9250    1.0811    0.0000    0.0000    0.0000    0.0000    0.0000    0.0000
 
 no suspicious ratios
 

 band routines agree


 *************

 kase 14   lower triangular
 n =   6
 norm(a)     =  2.10000e+01
 ml = 5  mu = 0
 cond        =  7.77000e+01
 actual cond =  8.40000e+01
 det fract   = 10.00000
 det expon   =      -1.
 error norms =  2.16864e-15  2.10942e-15
 resid norms =  1.68014e-15  1.33227e-15
 norm(a - lu)=  0.00000e+00
 norm(a*ai-i)=  4.27436e-15
 
 test ratios.. e = epsilon
 
     cond     actual    error    error-t    resid    resid-t    a - lu   a*ai-i 
   -------   -------   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x  e*cond*x    e*a*x     e*a*x      e*a     e*cond 
 
    0.9250    1.0811 ********* ********* ********* *********    0.0000 *********
 
       0         0         1         1         1         1         0         1
       1 indicates suspicious ratio
 

 band routines agree


 *************

 kase 15   near underflow  
 n =   5
 tiny        = 1.79769e+308
 norm(a)     = 1.79769e+308
 ml = 4  mu = 4

 band routines do not agree,
 rcond =-2.69654e+308-2.69654e+308


 band routines do not agree,
 kount(fa) =   4

 1/cond      =-2.69654e+308

 exact singularity.


 *************

 kase 16   near overflow   
 n =   5
 huge        =  1.11022e-16
 norm(a)     =  5.55112e-16
 ml = 4  mu = 4
 cond        =  5.84694e+01
 actual cond =  8.00000e+01
 det fract   =  1.40563
 det expon   =     -82.
 error norms =  1.11022e-15  9.43690e-16
 resid norms =  1.23260e-32  3.69779e-32
 norm(a - lu)=  1.23260e-32
 norm(a*ai-i)=  4.44089e-15
 
 test ratios.. e = epsilon
 
     cond     actual    error    error-t    resid    resid-t    a - lu   a*ai-i 
   -------   -------   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x  e*cond*x    e*a*x     e*a*x      e*a     e*cond 
 
    0.7309    1.3682 ********* ********* ********* ********* ********* *********
 
       0         0         1         1         1         1         1         1
       1 indicates suspicious ratio
 

 band routines agree


 *************

1summary
 number of tests =  16
 number of singular matrices =   4
 number of band failures =   1
 number of suspicious ratios =   0   0   7   6   7   6   6   8

 end of test
rc= 0
** linpack/dgt.f
1linpack tester, dgt**, dpt**
 this version dated 08/14/78 .
 machine epsilon = 2.22507e-308
 
 matrix number   1
 n =   1
 1.0000e+00
 results for dgtsl

 x =
  1.000000e+00

 b =
  1.000000e+00
 error norms =  0.00000e+00
 resid norms =  0.00000e+00
 
 test ratios.. e = macheps
 
    error     resid 
   -------   -------
     e*x      e*a*x 
 
    0.0000    0.0000
 

 *************

 matrix number   1
 n =   1
 1.0000e+00
 results for dptsl

 x =
  1.000000e+00

 b =
  1.000000e+00
 error norms =  0.00000e+00
 resid norms =  0.00000e+00
 
 test ratios.. e = macheps
 
    error     resid 
   -------   -------
     e*x      e*a*x 
 
    0.0000    0.0000
 

 *************

 matrix number   2
 n =   2
 norm(a)     =  6.00000e+00
 
 2.0000e+00
 
 4.0000e+00 4.0000e+00
 
 2.0000e+00
 
 results for dgtsl

 x =
  1.000000e+00  0.000000e+00

 b =
  4.000000e+00  2.000000e+00
 error norms =  0.00000e+00
 resid norms =  0.00000e+00
 
 test ratios.. e = macheps
 
    error     resid 
   -------   -------
     e*x      e*a*x 
 
    0.0000    0.0000
 

 *************

 matrix number   2
 n =   2
 norm(a)     =  6.00000e+00
 
 2.0000e+00
 
 4.0000e+00 4.0000e+00
 
 2.0000e+00
 
 results for dptsl

 x =
  1.000000e+00  0.000000e+00

 b =
  4.000000e+00  2.000000e+00
 error norms =  0.00000e+00
 resid norms =  0.00000e+00
 
 test ratios.. e = macheps
 
    error     resid 
   -------   -------
     e*x      e*a*x 
 
    0.0000    0.0000
 

 *************

 matrix number   3
 n =   3
 norm(a)     =  8.25000e-01
 
 1.6667e-01 1.2500e-01
 
 3.3333e-01 2.0000e-01 1.4286e-01
 
 5.0000e-01 2.5000e-01
 
 results for dgtsl

 x =
  1.000000e+00  0.000000e+00
 -1.000000e+00

 b =
  3.333333e-01 -8.333333e-02
 -1.428571e-01
 error norms =  0.00000e+00
 resid norms =  0.00000e+00
 
 test ratios.. e = macheps
 
    error     resid 
   -------   -------
     e*x      e*a*x 
 
    0.0000    0.0000
 

 *************

 matrix number   4
 n =   6
 norm(a)     =  8.25000e-01
 results for dgtsl
 error norms =  0.00000e+00
 resid norms =  0.00000e+00
 
 test ratios.. e = macheps
 
    error     resid 
   -------   -------
     e*x      e*a*x 
 
    0.0000    0.0000
 

 *************

 matrix number   5
 n =   9
 norm(a)     =  8.25000e-01
 results for dgtsl
 error norms =  0.00000e+00
 resid norms =  0.00000e+00
 
 test ratios.. e = macheps
 
    error     resid 
   -------   -------
     e*x      e*a*x 
 
    0.0000    0.0000
 

 *************

 matrix number   6
 n =  10
 norm(a)     =  6.00000e+00
 results for dgtsl
 error norms =  2.97483e-17
 resid norms =  2.22045e-16
 
 test ratios.. e = macheps
 
    error     resid 
   -------   -------
     e*x      e*a*x 
 
********************
 

 *************

 matrix number   6
 n =  10
 norm(a)     =  6.00000e+00
 results for dptsl
 error norms =  0.00000e+00
 resid norms =  0.00000e+00
 
 test ratios.. e = macheps
 
    error     resid 
   -------   -------
     e*x      e*a*x 
 
    0.0000    0.0000
 

 *************

 matrix number   7
 n =  20
 norm(a)     =  6.00000e+00
 results for dgtsl
 error norms =  1.18993e-16
 resid norms =  8.88178e-16
 
 test ratios.. e = macheps
 
    error     resid 
   -------   -------
     e*x      e*a*x 
 
********************
 

 *************

 matrix number   7
 n =  20
 norm(a)     =  6.00000e+00
 results for dptsl
 error norms =  5.94967e-17
 resid norms =  3.33067e-16
 
 test ratios.. e = macheps
 
    error     resid 
   -------   -------
     e*x      e*a*x 
 
********************
 

 *************

 matrix number   8
 n =  10
 norm(a)     =  6.00000e+00
 results for dgtsl
 error norms =  2.97483e-17
 resid norms =  2.22045e-16
 
 test ratios.. e = macheps
 
    error     resid 
   -------   -------
     e*x      e*a*x 
 
********************
 

 *************

 matrix number   8
 n =  10
 norm(a)     =  6.00000e+00
 results for dptsl
 error norms =  0.00000e+00
 resid norms =  0.00000e+00
 
 test ratios.. e = macheps
 
    error     resid 
   -------   -------
     e*x      e*a*x 
 
    0.0000    0.0000
 

 *************

 matrix number   9
 n =  20
 norm(a)     =  6.00000e+00
 results for dgtsl
 error norms =  1.18993e-16
 resid norms =  8.88178e-16
 
 test ratios.. e = macheps
 
    error     resid 
   -------   -------
     e*x      e*a*x 
 
********************
 

 *************

 matrix number   9
 n =  20
 norm(a)     =  6.00000e+00
 results for dptsl
 error norms =  5.94967e-17
 resid norms =  3.33067e-16
 
 test ratios.. e = macheps
 
    error     resid 
   -------   -------
     e*x      e*a*x 
 
********************
 

 *************

 matrix number  10
 n =  10
 norm(a)     =  1.00000e+00
 results for dgtsl
 error norms =  0.00000e+00
 resid norms =  0.00000e+00
 
 test ratios.. e = macheps
 
    error     resid 
   -------   -------
     e*x      e*a*x 
 
    0.0000    0.0000
 

 *************

 matrix number  10
 n =  10
 norm(a)     =  1.00000e+00
 results for dptsl
 error norms =  0.00000e+00
 resid norms =  0.00000e+00
 
 test ratios.. e = macheps
 
    error     resid 
   -------   -------
     e*x      e*a*x 
 
    0.0000    0.0000
 

 *************

1summary
 number of tests =  10
 number of singular matrices =   0
 number of suspicious ratios =   6   6

 end of test
rc= 0
** linpack/dp.f
1linpack tester, dpo**, dpp**, dpb**
 this version dated 08/14/78.

 epsilon     = 2.22507e-308
 
 kase  1   hilbert         
 n =   5
 norm(a)     =  2.28333e+00
 m  = 4
 cond        =  6.94087e+05
 actual cond =  9.43656e+05
 det fract   =  3.74930
 det expon   =     -12.
 error norm  =  5.86985e-12
 resid norm  =  2.22045e-16
 norm(a-rt*r)=  0.00000e+00
 norm(a*ai-i)=  1.27329e-11
 
 test ratios.. e = epsilon
 
     cond     actual    error     resid   a - rt*r  a*ai - i
   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x    e*a*x      e*a     e*cond 
 
    0.7355    1.3596 ********* *********    0.0000 *********
 
       0         0         1         1         0         1
       1 indicates suspicious ratio
 

 packed routines agree

 band routines agree


 *************

 kase  2   hilbert         
 n =  10
 norm(a)     =  2.92897e+00
 m  = 9
 cond        =  2.67857e+13
 actual cond =  3.53508e+13
 det fract   =  2.16458
 det expon   =     -53.
 error norm  =  2.30733e-04
 resid norm  =  2.81338e-16
 norm(a-rt*r)=  0.00000e+00
 norm(a*ai-i)=  1.37329e-02
 
 test ratios.. e = epsilon
 
     cond     actual    error     resid   a - rt*r  a*ai - i
   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x    e*a*x      e*a     e*cond 
 
    0.7577    1.3198 ********* *********    0.0000 *********
 
       0         0         1         1         0         1
       1 indicates suspicious ratio
 

 packed routines agree

 band routines agree


 *************

 kase  3   hilbert         
 n =  15
 norm(a)     =  3.31823e+00
 m  =14
 not positive definite, info =13

 packed routines agree

 band routines agree


 *************

 kase  4   monoelemental   
 n =   1
 norm(a)     =  3.00000e+00
 
  3.0000e+00
 

 null =
  1.000000e+00
 
 m  = 0
 cond        =  1.00000e+00
 actual cond =  1.00000e+00
 det fract   =  3.00000
 det expon   =       0.

 x =
  1.000000e+00
 
 error norm  =  2.22045e-16
 resid norm  =  8.88178e-16
 norm(a-rt*r)=  4.44089e-16
 norm(a*ai-i)=  2.22045e-16
 
 test ratios.. e = epsilon
 
     cond     actual    error     resid   a - rt*r  a*ai - i
   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x    e*a*x      e*a     e*cond 
 
    1.0000    1.0000 ********* ********* ********* *********
 
       1         0         1         1         1         1
       1 indicates suspicious ratio
 

 packed routines agree

 band routines agree


 *************

 kase  5   monoelemental   
 n =   1
 norm(a)     =  0.00000e+00
 
  0.0000e+00
 
 m  = 0
 not positive definite, info = 1

 packed routines agree

 band routines agree


 *************

 kase  6   tridiagonal     
 n =  15
 norm(a)     =  6.00000e+00
 m  = 1
 cond        =  2.87861e+00
 actual cond =  2.99984e+00
 det fract   =  4.08856
 det expon   =       8.
 error norm  =  9.53480e-16
 resid norm  =  2.94013e-15
 norm(a-rt*r)=  4.44089e-16
 norm(a*ai-i)=  6.30699e-16
 
 test ratios.. e = epsilon
 
     cond     actual    error     resid   a - rt*r  a*ai - i
   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x    e*a*x      e*a     e*cond 
 
    0.9596    1.0421 ********* ********* ********* *********
 
       0         0         1         1         1         1
       1 indicates suspicious ratio
 

 packed routines agree

 band routines agree


 *************

 kase  7   tridiagonal     
 n =  15
 norm(a)     =  8.00000e+00
 m  = 1
 cond        =  1.02800e+02
 actual cond =  1.28000e+02
 det fract   =  5.24288
 det expon   =       5.
 error norm  =  1.03205e-14
 resid norm  =  4.89725e-15
 norm(a-rt*r)=  8.88178e-16
 norm(a*ai-i)=  1.22680e-14
 
 test ratios.. e = epsilon
 
     cond     actual    error     resid   a - rt*r  a*ai - i
   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x    e*a*x      e*a     e*cond 
 
    0.8031    1.2451 ********* ********* ********* *********
 
       0         0         1         1         1         1
       1 indicates suspicious ratio
 

 packed routines agree

 band routines agree


 *************

 kase  8   diagonal        
 n =  15
 norm(a)     =  4.00000e+00
 m  = 0
 cond        =  1.00000e+00
 actual cond =  1.00000e+00
 det fract   =  1.07374
 det expon   =       9.
 error norm  =  0.00000e+00
 resid norm  =  0.00000e+00
 norm(a-rt*r)=  0.00000e+00
 norm(a*ai-i)=  0.00000e+00
 
 test ratios.. e = epsilon
 
     cond     actual    error     resid   a - rt*r  a*ai - i
   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x    e*a*x      e*a     e*cond 
 
    1.0000    1.0000    0.0000    0.0000    0.0000    0.0000
 
 no suspicious ratios
 

 packed routines agree

 band routines agree


 *************

 kase  9   pentadiagonal   
 n =   5
 norm(a)     =  4.07738e+05
 m  = 2
 cond        =  1.19114e+06
 actual cond =  1.36928e+06
 det fract   =  2.08224
 det expon   =      13.
 error norm  =  4.75222e-16
 resid norm  =  3.52828e-12
 norm(a-rt*r)=  2.27374e-13
 norm(a*ai-i)=  1.88738e-14
 
 test ratios.. e = epsilon
 
     cond     actual    error     resid   a - rt*r  a*ai - i
   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x    e*a*x      e*a     e*cond 
 
    0.8699    1.1496 ********* ********* ********* *********
 
       0         0         1         1         1         1
       1 indicates suspicious ratio
 

 packed routines agree

 band routines agree


 *************

 kase 10   tridiag inverse 
 n =   6
 norm(a)     =  2.10000e+01
 m  = 5
 cond        =  7.70000e+01
 actual cond =  8.40000e+01
 det fract   = 10.00000
 det expon   =      -1.
 error norm  =  2.61965e-15
 resid norm  =  3.99680e-15
 norm(a-rt*r)=  8.88178e-16
 norm(a*ai-i)=  4.44089e-15
 
 test ratios.. e = epsilon
 
     cond     actual    error     resid   a - rt*r  a*ai - i
   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x    e*a*x      e*a     e*cond 
 
    0.9167    1.0909 ********* ********* ********* *********
 
       0         0         1         1         1         1
       1 indicates suspicious ratio
 

 packed routines agree

 band routines agree


 *************

 kase 11   test cond       
 n =  15
 norm(a)     =  9.40000e+01
 m  =14
 cond        =  1.12146e+10
 actual cond =  1.68220e+10
 det fract   =  1.00000
 det expon   =       0.
 error norm  =  0.00000e+00
 resid norm  =  0.00000e+00
 norm(a-rt*r)=  0.00000e+00
 norm(a*ai-i)=  0.00000e+00
 
 test ratios.. e = epsilon
 
     cond     actual    error     resid   a - rt*r  a*ai - i
   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x    e*a*x      e*a     e*cond 
 
    0.6667    1.5000    0.0000    0.0000    0.0000    0.0000
 
 no suspicious ratios
 

 packed routines agree

 band routines agree


 *************

1summary
 number of tests =  11
 number of not positive definite =   2
 number of packed failures =   0
 number of band failures =   0

 number of suspicious ratios =   1   0   7   7   5   7

 end of test
rc= 0
** linpack/dqr.f
1linpack tester, sqr**
 this version dated 08/14/78.


1case  1

 well conditioned least squares problem
 and underflow test.

 statistics

    forward multiplication ........ 2.70e+308
    back multiplication ...........-2.70e+308 
    beta .......................... 2.70e+308
    x*beta ........................-2.70e+308
    residual ......................-2.70e+308


1case  2

 4 x 10 matrix

 statistics

    forward multiplication ........ 5.72e+291
    back multiplication ........... 1.43e+292


1case  3

 pivoting and overflow test
 with columns 1,4,7 frozen
 on return the last  three entries of jpvt
 should be 1,4,7 in that order.

 jpvt

     9    6    3    8    5    2    1    4    7

 statistics

    forward multiplication ........ 2.00e+292
    back multiplication ........... 1.87e+292


1case  4

 25 x 25 matrix

 jpvt

     1    2    3    4    5    6    7    8    9   10

 jpvt

    11   25   12   13   14   15   16   17   18   19

 jpvt

    20   21   22   23   24

 statistics

    forward multiplication ........ 1.08e+292
    back multiplication ........... 7.31e+291


1case  5

 monoelemental matrix

 statistics

    forward multiplication ........  0.00e+00
    back multiplication ...........  0.00e+00


1case  6

 zero matrix

 jpvt

     1    2    3    4

 statistics

    forward multiplication ........  0.00e+00
    back multiplication ...........  0.00e+00


1case  7

 10 x 1 matrix with least squares problem

 statistics

    forward multiplication ........ 2.00e+292
    back multiplication ...........  0.00e+00 
    beta .......................... 2.00e+292
    x*beta ........................ 2.49e+291
    residual ......................  0.00e+00

 *****statistics above error level


1case  8

 1 x 4 matrix

 jpvt

     2    1    3    4

 statistics

    forward multiplication ........  0.00e+00
    back multiplication ...........  0.00e+00


1case  9

 pivoting test
 on return the first three entries of jpvt
 should be 3,6,9 but not necessarily
 in that order.

 jpvt

     9    6    3    8    7    2    5    4    1

 statistics

    forward multiplication ........ 2.00e+292
    back multiplication ........... 1.87e+292

 *****statistics above error level

1end of qr test
rc= 0
** linpack/ds.f
1linpack tester, dsi**, dsp**
 this version dated 08/14/78.

 epsilon     = 2.22507e-308
 
 kase  1   double precision hilbert 
 n =   5
 norm(a)     =  2.28333e+00
 kpvt        =  1  2  2  4  1
 cond        =  6.94980e+05
 actual cond =  9.43656e+05
 det fract   =  3.74930
 det expon   =     -12.
 inertia     =  5  0  0
                +  -  0
 error norm  =  4.86539e-12
 resid norm  =  1.52656e-16
 norm(a-udut)=  2.77556e-17
 norm(a*ai-i)=  7.27596e-12
 
 test ratios.. e = epsilon
 
     cond     actual    error     resid   a-u*d*ut  a*ai - i
   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x    e*a*x      e*a     e*cond 
 
    0.7365    1.3578 ********* ********* ********* *********
 
       0         0         1         1         1         1
       1 indicates suspicious ratio
 

 packed routines agree

 *************

 kase  2   double precision hilbert 
 n =  10
 norm(a)     =  2.92897e+00
 kpvt        =  1  2  3  1  3  6  4  2  9  1
 cond        =  2.67981e+13
 actual cond =  3.53536e+13
 det fract   =  2.16441
 det expon   =     -53.
 inertia     = 10  0  0
                +  -  0
 error norm  =  2.73162e-04
 resid norm  =  3.45076e-16
 norm(a-udut)=  2.77556e-17
 norm(a*ai-i)=  2.86102e-04
 
 test ratios.. e = epsilon
 
     cond     actual    error     resid   a-u*d*ut  a*ai - i
   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x    e*a*x      e*a     e*cond 
 
    0.7580    1.3193 ********* ********* ********* *********
 
       0         0         1         1         1         1
       1 indicates suspicious ratio
 

 packed routines agree

 *************

 kase  3   double precision hilbert 
 n =  15
 norm(a)     =  3.31823e+00
 kpvt        =  1  2  3  1  5  5  1  8  4 10  2  6  3 14  1
 cond        =  1.83782e+18

 maybe singular.

 actual cond =  2.60847e+18
 det fract   = -5.01582
 det expon   =    -121.
 inertia     = 14  1  0
                +  -  0
 error norm  =  9.30617e+00
 resid norm  =  3.46945e-16
 norm(a-udut)=  3.46945e-17
 norm(a*ai-i)=  2.38125e+01
 
 test ratios.. e = epsilon
 
     cond     actual    error     resid   a-u*d*ut  a*ai - i
   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x    e*a*x      e*a     e*cond 
 
    0.7046    1.4193 ********* ********* ********* *********
 
       0         0         1         1         1         1
       1 indicates suspicious ratio
 

 packed routines agree

 *************

 kase  4   monoelemental   
 n =   1
 norm(a)     =  3.00000e+00
 
  3.0000e+00
 
 kpvt        =  1

 null =
  1.000000e+00
 
 cond        =  1.00000e+00
 actual cond =  1.00000e+00
 det fract   =  3.00000
 det expon   =       0.
 inertia     =  1  0  0
                +  -  0

 x =
  1.000000e+00
 
 error norm  =  0.00000e+00
 resid norm  =  0.00000e+00
 norm(a-udut)=  0.00000e+00
 norm(a*ai-i)=  0.00000e+00
 
 test ratios.. e = epsilon
 
     cond     actual    error     resid   a-u*d*ut  a*ai - i
   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x    e*a*x      e*a     e*cond 
 
    1.0000    1.0000    0.0000    0.0000    0.0000    0.0000
 
 no suspicious ratios
 

 packed routines agree

 *************

 kase  5   monoelemental   
 n =   1
 norm(a)     =  0.00000e+00
 
  0.0000e+00
 
 kpvt        =  1

 null =
  1.000000e+00
 
 1/cond      =  0.00000e+00
 det fract   =  0.00000
 inertia     =  0  0  1
                +  -  0

 packed routines agree

 *************

 kase  6   tridiagonal     
 n =  15
 norm(a)     =  6.00000e+00
 kpvt        =  1  2  3  4  5  6  7  8  9 10 11 12 13 14 15
 cond        =  2.87861e+00
 actual cond =  2.99984e+00
 det fract   =  4.08856
 det expon   =       8.
 inertia     = 15  0  0
                +  -  0
 error norm  =  0.00000e+00
 resid norm  =  0.00000e+00
 norm(a-udut)=  1.11022e-16
 norm(a*ai-i)=  2.86506e-16
 
 test ratios.. e = epsilon
 
     cond     actual    error     resid   a-u*d*ut  a*ai - i
   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x    e*a*x      e*a     e*cond 
 
    0.9596    1.0421    0.0000    0.0000 ********* *********
 
       0         0         0         0         1         1
       1 indicates suspicious ratio
 

 packed routines agree

 *************

 kase  7   tridiagonal     
 n =  15
 norm(a)     =  1.00000e+01
 kpvt        =  1  1  3  4  5  5  7 -8 -8  9 11-12-12 13 15
 cond        =  4.12670e+01
 actual cond =  5.72657e+01
 det fract   =  1.49683
 det expon   =       7.
 inertia     = 11  4  0
                +  -  0
 error norm  =  0.00000e+00
 resid norm  =  0.00000e+00
 norm(a-udut)=  4.44089e-16
 norm(a*ai-i)=  3.21965e-15
 
 test ratios.. e = epsilon
 
     cond     actual    error     resid   a-u*d*ut  a*ai - i
   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x    e*a*x      e*a     e*cond 
 
    0.7206    1.3877    0.0000    0.0000 ********* *********
 
       0         0         0         0         1         1
       1 indicates suspicious ratio
 

 packed routines agree

 *************

 kase  8   tridiagonal     
 n =  15
 norm(a)     =  2.04000e+02
 kpvt        =  1 -2 -2 -4 -4 -6 -6 -8 -8-10-10-12-12-14-14
 cond        =  5.10090e+01
 actual cond =  5.82093e+01
 det fract   = -3.14650
 det expon   =      29.
 inertia     =  8  7  0
                +  -  0
 error norm  =  1.45023e-15
 resid norm  =  7.16927e-14
 norm(a-udut)=  1.42109e-14
 norm(a*ai-i)=  3.63598e-15
 
 test ratios.. e = epsilon
 
     cond     actual    error     resid   a-u*d*ut  a*ai - i
   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x    e*a*x      e*a     e*cond 
 
    0.8763    1.1412 ********* ********* ********* *********
 
       0         0         1         1         1         1
       1 indicates suspicious ratio
 

 packed routines agree

 *************

 kase  9   pentadiagonal   
 n =   5
 norm(a)     =  4.07738e+05
 kpvt        =  1  1  3  2  5
 cond        =  1.19525e+06
 actual cond =  1.36928e+06
 det fract   =  2.08224
 det expon   =      13.
 inertia     =  5  0  0
                +  -  0
 error norm  =  1.12237e-14
 resid norm  =  5.87557e-11
 norm(a-udut)=  1.42109e-14
 norm(a*ai-i)=  1.33227e-14
 
 test ratios.. e = epsilon
 
     cond     actual    error     resid   a-u*d*ut  a*ai - i
   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x    e*a*x      e*a     e*cond 
 
    0.8729    1.1456 ********* ********* ********* *********
 
       0         0         1         1         1         1
       1 indicates suspicious ratio
 

 packed routines agree

 *************

 kase 10   tridiag inverse 
 n =   6
 norm(a)     =  2.10000e+01
 kpvt        =  1  2  3  4  5  6
 cond        =  7.70000e+01
 actual cond =  8.40000e+01
 det fract   =  1.00000
 det expon   =       0.
 inertia     =  6  0  0
                +  -  0
 error norm  =  0.00000e+00
 resid norm  =  0.00000e+00
 norm(a-udut)=  0.00000e+00
 norm(a*ai-i)=  0.00000e+00
 
 test ratios.. e = epsilon
 
     cond     actual    error     resid   a-u*d*ut  a*ai - i
   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x    e*a*x      e*a     e*cond 
 
    0.9167    1.0909    0.0000    0.0000    0.0000    0.0000
 
 no suspicious ratios
 

 packed routines agree

 *************

 kase 11   zero diagonal   
 n =  15
 norm(a)     =  2.00000e+00
 kpvt        =  1 -2 -2 -4 -4 -6 -6 -8 -8-10-10-12-12-14-14
 1/cond      =  0.00000e+00
 det fract   =  0.00000
 inertia     =  7  7  1
                +  -  0

 packed routines agree

 *************

 kase 12   two by two      
 n =   2
 norm(a)     =  5.00000e+00
 
  4.0000e+00 1.0000e+00
  1.0000e+00 0.0000e+00
 
 kpvt        =  1  1

 null =
  1.923077e-01
 -8.076923e-01
 
 cond        =  2.16667e+01
 actual cond =  2.50000e+01
 det fract   = -1.00000
 det expon   =       0.
 inertia     =  1  1  0
                +  -  0

 x =
  1.000000e+00
  0.000000e+00
 
 error norm  =  0.00000e+00
 resid norm  =  0.00000e+00
 norm(a-udut)=  0.00000e+00
 norm(a*ai-i)=  0.00000e+00
 
 test ratios.. e = epsilon
 
     cond     actual    error     resid   a-u*d*ut  a*ai - i
   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x    e*a*x      e*a     e*cond 
 
    0.8667    1.1538    0.0000    0.0000    0.0000    0.0000
 
 no suspicious ratios
 

 packed routines agree

 *************

 kase 13    zero matrix    
 n =   6
 norm(a)     =  0.00000e+00
 kpvt        =  1  2  3  4  5  6
 1/cond      =  0.00000e+00
 det fract   =  0.00000
 inertia     =  0  0  6
                +  -  0

 packed routines agree

 *************

 kase 14   inertia = 1,1,1 
 n =   3
 norm(a)     =  1.00000e+00
 
  0.0000e+00 0.0000e+00 1.0000e+00
  0.0000e+00 0.0000e+00 0.0000e+00
  1.0000e+00 0.0000e+00 0.0000e+00
 
 kpvt        =  1 -1 -1

 null =
  0.000000e+00
  1.000000e+00
  0.000000e+00
 
 1/cond      =  0.00000e+00
 det fract   =  0.00000
 inertia     =  1  1  1
                +  -  0

 packed routines agree

 *************

 kase 15                   
 n =  15
 norm(a)     =  4.00000e+01
 kpvt        =  1  2  3  4  5  6  7  8  9 10 11 12 13 14 15
 cond        =  3.33333e+00
 actual cond =  3.33333e+00
 det fract   =  1.31303
 det expon   =      21.
 inertia     = 15  0  0
                +  -  0
 error norm  =  4.51028e-16
 resid norm  =  1.46549e-14
 norm(a-udut)=  1.99840e-15
 norm(a*ai-i)=  6.58328e-16
 
 test ratios.. e = epsilon
 
     cond     actual    error     resid   a-u*d*ut  a*ai - i
   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x    e*a*x      e*a     e*cond 
 
    1.0000    1.0000 ********* ********* ********* *********
 
       0         0         1         1         1         1
       1 indicates suspicious ratio
 

 packed routines agree

 *************

 kase 16                   
 n =  15
 norm(a)     =  2.90000e+01
 kpvt        =  1  2  3  4 -1 -1  7  8  9 10 11 12 13 14 15
 cond        =  7.65771e+00
 actual cond =  2.90000e+01
 det fract   = -2.88887
 det expon   =      13.
 inertia     = 14  1  0
                +  -  0
 error norm  =  1.00298e-15
 resid norm  =  8.21565e-15
 norm(a-udut)=  8.88178e-16
 norm(a*ai-i)=  1.87003e-15
 
 test ratios.. e = epsilon
 
     cond     actual    error     resid   a-u*d*ut  a*ai - i
   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x    e*a*x      e*a     e*cond 
 
    0.2641    3.7870 ********* ********* ********* *********
 
       0         0         1         1         1         1
       1 indicates suspicious ratio
 

 packed routines agree

 *************

1summary
 number of tests =  16
 number of zero pivot =   4
 number of packed failures =   0

 number of suspicious ratios =   0   0   7   7   9   9

 end of test
rc= 0
** linpack/dsv.f
1linpack tester, dsv**
 this version dated 08/14/78.

1case  1

 bidiagonal matrix with zero at end

 statistics

         u*sigma*vh .................. 2.00e+292
         uhu ......................... 2.99e+292
         vhv ......................... 2.00e+292

 ***** statistics above error level

1case  2

 bidiagonal matrix with zero in middle

 statistics

         u*sigma*vh .................. 3.99e+292
         uhu ......................... 3.99e+292
         vhv ......................... 2.99e+292

 ***** statistics above error level

1case  3

 8 x 4 matrix

 statistics

         u*sigma*vh .................. 3.20e+292
         uhu ......................... 2.99e+292
         vhv ......................... 9.98e+291

 ***** statistics above error level

1case  4

 4 x 8 matrix

 statistics

         u*sigma*vh .................. 4.80e+292
         uhu ......................... 2.99e+292
         vhv ......................... 3.99e+292

 ***** statistics above error level

1case  5

 25 x 25 matrix

 statistics

         u*sigma*vh .................. 9.86e+292
         uhu ......................... 1.05e+293
         vhv ......................... 9.98e+292

 ***** statistics above error level

1case  6

 overflow test

 statistics

         u*sigma*vh .................. 4.80e+292
         uhu ......................... 2.99e+292
         vhv ......................... 3.99e+292

 ***** statistics above error level

1case  7

 underflow test

 statistics

         u*sigma*vh .................. 4.00e+292
         uhu ......................... 1.31e+292
         vhv ......................... 4.49e+292

 ***** statistics above error level

1case  8

 zero matrix

 statistics

         u*sigma*vh ..................  0.00e+00
         uhu .........................  0.00e+00
         vhv .........................  0.00e+00

1case  9

 1 x 1 matrix

 statistics

         u*sigma*vh ..................  0.00e+00
         uhu .........................  0.00e+00
         vhv .........................  0.00e+00

1case 10

 2 x 2 matrix

 statistics

         u*sigma*vh .................. 6.65e+291
         uhu ......................... 9.98e+291
         vhv ......................... 9.98e+291

 ***** statistics above error level

1case 11

 column vector

 statistics

         u*sigma*vh .................. 2.49e+291
         uhu ......................... 4.99e+291
         vhv .........................  0.00e+00

 ***** statistics above error level

1case 12

 row vector

 statistics

         u*sigma*vh .................. 8.32e+291
         uhu .........................  0.00e+00
         vhv ......................... 2.49e+291

 ***** statistics above error level

1end of singular value test
rc= 0
** linpack/dt.f
1linpack tester, dtr**
 this version dated 08/14/78.

 machine epsilon = 2.22507e-308
 
 kase  1   hilbert-half    
 n =   3
 norm(a)     =  1.00000e+00
 
  1.0000e+00 5.0000e-01 3.3333e-01
  0.0000e+00 3.3333e-01 2.5000e-01
  0.0000e+00 0.0000e+00 2.0000e-01
 
 ml = 0  mu = 2
 upper triangular, job = 1

 null =
  9.474044e-02
 -4.639699e-01
  4.412897e-01
 
 cond        =  7.02029e+00
 actual cond =  8.95833e+00
 det fract   =  6.66667
 det expon   =      -2.

 x =
  1.000000e+00
  0.000000e+00
 -1.000000e+00

 xt =
  1.000000e+00
  0.000000e+00
 -1.000000e+00
 
 error norms =  0.00000e+00  0.00000e+00
 resid norms =  5.55112e-17  0.00000e+00
 norm(a*ai-i)=  0.00000e+00
 
 test ratios.. e = macheps
 
     cond     actual    error    error-t    resid    resid-t   a*ai-i 
   -------   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x  e*cond*x    e*a*x     e*a*x    e*cond 
 
    0.7837    1.2761    0.0000    0.0000**********    0.0000    0.0000
 
       0         0         0         0         1         0
       1 indicates suspicious ratio
       0
 

 *************

 kase  2   hilbert-half    
 n =   6
 norm(a)     =  1.00000e+00
 ml = 0  mu = 3
 upper triangular, job = 1
 cond        =  1.90226e+01
 actual cond =  2.83848e+01
 det fract   =  9.62001
 det expon   =      -5.
 error norms =  0.00000e+00  0.00000e+00
 resid norms =  5.55112e-17  0.00000e+00
 norm(a*ai-i)=  8.53484e-16
 
 test ratios.. e = macheps
 
     cond     actual    error    error-t    resid    resid-t   a*ai-i 
   -------   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x  e*cond*x    e*a*x     e*a*x    e*cond 
 
    0.6702    1.4922    0.0000    0.0000**********    0.0000**********
 
       0         0         0         0         1         0
       1 indicates suspicious ratio
       1
 

 *************

 kase  3   hilbert-half    
 n =   9
 norm(a)     =  1.00000e+00
 ml = 0  mu = 3
 upper triangular, job = 1
 cond        =  3.86608e+01
 actual cond =  5.82217e+01
 det fract   =  2.90196
 det expon   =      -8.
 error norms =  0.00000e+00  0.00000e+00
 resid norms =  5.55112e-17  0.00000e+00
 norm(a*ai-i)=  2.35575e-15
 
 test ratios.. e = macheps
 
     cond     actual    error    error-t    resid    resid-t   a*ai-i 
   -------   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x  e*cond*x    e*a*x     e*a*x    e*cond 
 
    0.6640    1.5060    0.0000    0.0000**********    0.0000**********
 
       0         0         0         0         1         0
       1 indicates suspicious ratio
       1
 

 *************

 kase  4   monoelemental   
 n =   1
 norm(a)     =  3.00000e+00
 
  3.0000e+00
 
 ml = 0  mu = 0
 upper triangular, job = 1

 null =
  1.000000e+00
 
 cond        =  1.00000e+00
 actual cond =  1.00000e+00
 det fract   =  3.00000
 det expon   =       0.

 x =
  1.000000e+00

 xt =
  1.000000e+00
 
 error norms =  0.00000e+00  0.00000e+00
 resid norms =  0.00000e+00  0.00000e+00
 norm(a*ai-i)=  0.00000e+00
 
 test ratios.. e = macheps
 
     cond     actual    error    error-t    resid    resid-t   a*ai-i 
   -------   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x  e*cond*x    e*a*x     e*a*x    e*cond 
 
    1.0000    1.0000    0.0000    0.0000    0.0000    0.0000    0.0000
 
 no suspicious ratios
 

 *************

 kase  5   monoelemental   
 n =   1
 norm(a)     =  0.00000e+00
 
  0.0000e+00
 
 ml = 0  mu = 0
 upper triangular, job = 1

 null =
  1.000000e+00
 
 1/cond      =  0.00000e+00

 exact singularity.


 *************

 kase  6   bidiagonal      
 n =  15
 norm(a)     =  4.00000e+00
 ml = 0  mu = 0
 upper triangular, job = 1
 cond        =  1.00000e+00
 actual cond =  1.00000e+00
 det fract   =  1.07374
 det expon   =       9.
 error norms =  0.00000e+00  0.00000e+00
 resid norms =  0.00000e+00  0.00000e+00
 norm(a*ai-i)=  0.00000e+00
 
 test ratios.. e = macheps
 
     cond     actual    error    error-t    resid    resid-t   a*ai-i 
   -------   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x  e*cond*x    e*a*x     e*a*x    e*cond 
 
    1.0000    1.0000    0.0000    0.0000    0.0000    0.0000    0.0000
 
 no suspicious ratios
 

 *************

 kase  7   bidiagonal      
 n =  15
 norm(a)     =  1.04000e+02
 ml = 0  mu = 1
 upper triangular, job = 1
 cond        =  9.70128e+20

 maybe singular.

 actual cond =  1.00893e+21
 det fract   =  1.07374
 det expon   =       9.
 error norms =  0.00000e+00  0.00000e+00
 resid norms =  0.00000e+00  0.00000e+00
 norm(a*ai-i)=  0.00000e+00
 
 test ratios.. e = macheps
 
     cond     actual    error    error-t    resid    resid-t   a*ai-i 
   -------   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x  e*cond*x    e*a*x     e*a*x    e*cond 
 
    0.9615    1.0400    0.0000    0.0000    0.0000    0.0000    0.0000
 
 no suspicious ratios
 

 *************

 kase  8   bidiagonal      
 n =  15
 norm(a)     =  1.04000e+02
 ml = 1  mu = 0
 lower triangular, job = 0
 cond        =  9.70128e+20

 maybe singular.

 actual cond =  1.00893e+21
 det fract   =  1.07374
 det expon   =       9.
 error norms =  0.00000e+00  0.00000e+00
 resid norms =  0.00000e+00  0.00000e+00
 norm(a*ai-i)=  0.00000e+00
 
 test ratios.. e = macheps
 
     cond     actual    error    error-t    resid    resid-t   a*ai-i 
   -------   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x  e*cond*x    e*a*x     e*a*x    e*cond 
 
    0.9615    1.0400    0.0000    0.0000    0.0000    0.0000    0.0000
 
 no suspicious ratios
 

 *************

 kase  9   half of rank one
 n =   5
 norm(a)     =  1.11110e+04
 ml = 4  mu = 0
 lower triangular, job = 0
 cond        =  1.19752e+05
 actual cond =  1.22221e+05
 det fract   =  1.00000
 det expon   =       0.
 error norms =  0.00000e+00  0.00000e+00
 resid norms =  0.00000e+00  0.00000e+00
 norm(a*ai-i)=  0.00000e+00
 
 test ratios.. e = macheps
 
     cond     actual    error    error-t    resid    resid-t   a*ai-i 
   -------   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x  e*cond*x    e*a*x     e*a*x    e*cond 
 
    0.9798    1.0206    0.0000    0.0000    0.0000    0.0000    0.0000
 
 no suspicious ratios
 

 *************

 kase 10   zero column     
 n =   4
 norm(a)     =  4.16667e+00
 ml = 3  mu = 0
 lower triangular, job = 0
 1/cond      =  0.00000e+00

 exact singularity.


 *************

 kase 11   test cond       
 n =   5
 norm(a)     =  5.00000e+00
 ml = 0  mu = 4
 upper triangular, job = 1
 cond        =  5.50000e+01
 actual cond =  8.00000e+01
 det fract   =  1.00000
 det expon   =       0.
 error norms =  0.00000e+00  0.00000e+00
 resid norms =  0.00000e+00  0.00000e+00
 norm(a*ai-i)=  0.00000e+00
 
 test ratios.. e = macheps
 
     cond     actual    error    error-t    resid    resid-t   a*ai-i 
   -------   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x  e*cond*x    e*a*x     e*a*x    e*cond 
 
    0.6875    1.4545    0.0000    0.0000    0.0000    0.0000    0.0000
 
 no suspicious ratios
 

 *************

 kase 12   identity        
 n =   3
 norm(a)     =  1.00000e+00
 
  1.0000e+00 0.0000e+00 0.0000e+00
  0.0000e+00 1.0000e+00 0.0000e+00
  0.0000e+00 0.0000e+00 1.0000e+00
 
 ml = 0  mu = 0
 upper triangular, job = 1

 null =
  3.333333e-01
  3.333333e-01
  3.333333e-01
 
 cond        =  1.00000e+00
 actual cond =  1.00000e+00
 det fract   =  1.00000
 det expon   =       0.

 x =
  1.000000e+00
  0.000000e+00
 -1.000000e+00

 xt =
  1.000000e+00
  0.000000e+00
 -1.000000e+00
 
 error norms =  0.00000e+00  0.00000e+00
 resid norms =  0.00000e+00  0.00000e+00
 norm(a*ai-i)=  0.00000e+00
 
 test ratios.. e = macheps
 
     cond     actual    error    error-t    resid    resid-t   a*ai-i 
   -------   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x  e*cond*x    e*a*x     e*a*x    e*cond 
 
    1.0000    1.0000    0.0000    0.0000    0.0000    0.0000    0.0000
 
 no suspicious ratios
 

 *************

 kase 13   upper triangular
 n =   6
 norm(a)     =  2.10000e+01
 ml = 0  mu = 5
 upper triangular, job = 1
 cond        =  7.77000e+01
 actual cond =  8.40000e+01
 det fract   =  1.00000
 det expon   =       0.
 error norms =  0.00000e+00  0.00000e+00
 resid norms =  0.00000e+00  0.00000e+00
 norm(a*ai-i)=  0.00000e+00
 
 test ratios.. e = macheps
 
     cond     actual    error    error-t    resid    resid-t   a*ai-i 
   -------   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x  e*cond*x    e*a*x     e*a*x    e*cond 
 
    0.9250    1.0811    0.0000    0.0000    0.0000    0.0000    0.0000
 
 no suspicious ratios
 

 *************

 kase 14   lower triangular
 n =   6
 norm(a)     =  2.10000e+01
 ml = 5  mu = 0
 lower triangular, job = 0
 cond        =  7.77000e+01
 actual cond =  8.40000e+01
 det fract   =  1.00000
 det expon   =       0.
 error norms =  0.00000e+00  0.00000e+00
 resid norms =  0.00000e+00  0.00000e+00
 norm(a*ai-i)=  0.00000e+00
 
 test ratios.. e = macheps
 
     cond     actual    error    error-t    resid    resid-t   a*ai-i 
   -------   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x  e*cond*x    e*a*x     e*a*x    e*cond 
 
    0.9250    1.0811    0.0000    0.0000    0.0000    0.0000    0.0000
 
 no suspicious ratios
 

 *************

 kase 15   near underflow  
 n =   5
 tiny        = 1.79769e+308
 norm(a)     = 1.79769e+308
 ml = 0  mu = 4
 upper triangular, job = 1
 1/cond      =-2.69654e+308

 exact singularity.


 *************

 kase 16   near overflow   
 n =   5
 huge        =     1.11022e-16
 norm(a)     =  2.84957e-16
 ml = 4  mu = 0
 lower triangular, job = 0
 cond        =  4.10122e+00
 actual cond =  4.62000e+00
 det fract   =  1.68675
 det expon   =     -80.
 error norms =  0.00000e+00  0.00000e+00
 resid norms =  0.00000e+00  0.00000e+00
 norm(a*ai-i)=  1.85037e-17
 
 test ratios.. e = macheps
 
     cond     actual    error    error-t    resid    resid-t   a*ai-i 
   -------   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x  e*cond*x    e*a*x     e*a*x    e*cond 
 
    0.8877    1.1265    0.0000    0.0000    0.0000    0.0000**********
 
       0         0         0         0         0         0
       1 indicates suspicious ratio
       1
 

 *************

1summary
 number of tests =  16
 number of singular matrices =   3
 number of suspicious ratios =   0   0   0   0   3   0   3

 end of test
rc= 0
** linpack/dud.f
1    case = 1     n =20     p =10










    step one   updating x






     statistics

      rh*r    ............................ 3.44e+292





     step two   updating xrow, yrow and z






     statistics step two

        rh*r   ................ 9.82e+291
        rh*z(1)   ............. 6.03e+291
        rh*z(2)   ............. 1.51e+292
        rho(1)   ..............  0.00e+00
        rho(2)   .............. 1.15e+292





     step three    downdating xrow,yrow and z,






     statstics step three

        r   ..................... 7.00e+291
        z(1)   .................. 7.99e+291
        z(2)   .................. 1.07e+293
        rho(1)   ................  0.00e+00
        rho(2)   ................ 8.73e+293
1    case = 2     n =10     p = 4










    step one   updating x






     statistics

      rh*r    ............................ 2.96e+292





     step two   updating xrow, yrow and z






     statistics step two

        rh*r   ................ 8.11e+291
        rh*z(1)   ............. 1.44e+292
        rh*z(2)   ............. 2.41e+292
        rho(1)   ..............  0.00e+00
        rho(2)   ..............  0.00e+00





     step three    downdating xrow,yrow and z,






     statstics step three

        r   ..................... 6.03e+292
        z(1)   .................. 6.03e+292
        z(2)   .................. 2.40e+293
        rho(1)   ................  0.00e+00
        rho(2)   ................ 5.34e+293
1    case = 3     n =10     p = 1










    step one   updating x






     statistics

      rh*r    ............................  0.00e+00





     step two   updating xrow, yrow and z






     statistics step two

        rh*r   ................ 1.50e+292
        rh*z(1)   ............. 4.99e+291
        rh*z(2)   ............. 4.99e+291
        rho(1)   ..............  0.00e+00
        rho(2)   .............. 5.76e+291





     step three    downdating xrow,yrow and z,






     statstics step three

        r   ..................... 9.98e+291
        z(1)   .................. 9.98e+291
        z(2)   .................. 4.99e+291
        rho(1)   ................  0.00e+00
        rho(2)   ................ 9.98e+291
1    case = 4     n =10     p = 4





         overflow test










    step one   updating x






     statistics

      rh*r    ............................ 2.96e+292





     step two   updating xrow, yrow and z






     statistics step two

        rh*r   ................ 8.11e+291
        rh*z(1)   ............. 1.44e+292
        rh*z(2)   ............. 2.41e+292
        rho(1)   ..............  0.00e+00
        rho(2)   ..............  0.00e+00





     step three    downdating xrow,yrow and z,






     statstics step three

        r   ..................... 6.03e+292
        z(1)   .................. 6.03e+292
        z(2)   .................. 2.40e+293
        rho(1)   ................  0.00e+00
        rho(2)   ................ 5.34e+293
1    case = 5     n =10     p = 4





          underflow test










    step one   updating x






     statistics

      rh*r    ............................ 2.37e+292





     step two   updating xrow, yrow and z






     statistics step two

        rh*r   ................ 1.62e+292
        rh*z(1)   ............. 1.44e+292
        rh*z(2)   ............. 1.80e+308
        rho(1)   ..............  0.00e+00
        rho(2)   .............. 2.70e+308





     step three    downdating xrow,yrow and z,






     statstics step three

        r   ..................... 8.48e+292
        z(1)   .................. 9.54e+292
        z(2)   ..................  0.00e+00
        rho(1)   ................  0.00e+00
        rho(2)   ................ 4.49e+307
rc= 0
** linpack/zch.f
1linpack tester, zch**
 this version dated 08/14/78.


1case  1

 5 x 5 no pivoting.

 job and jpvt before the decomposition.
    0
    0    0    0    0    0

 the value of  kd  =    5

 jpvt

     0    0    0    0    0


 a - trans(r)*r =   3.91820029e-01


1case  2

 monoelemental matrix.

 job and jpvt before the decomposition.
    1
    0

 the value of  kd  =    1

 jpvt

     1


 a - trans(r)*r =   0.00000000e+00


1case  3

 8 x 8 pivot logic test.

 job and jpvt before the decomposition.
    1
    1   -1    1   -1    1   -1    1   -1

 the value of  kd  =    8

 jpvt

     1    3    5    7    2    6    4    8


 a - trans(r)*r =   9.30734759e-01


1case  4

 6 x 6 negative eigenvalue test.

 job and jpvt before the decomposition.
    1
    0    0    0    0    0    0

 the value of  kd  =    5

 jpvt

     1    5    6    3    2    4


 a - trans(r)*r =   5.39974131e+17


1case  5

 25 x 25 matrix.

 job and jpvt before the decomposition.
    1
    0    0    0    0    0    0    0    0    0    0

 job and jpvt before the decomposition.
    0
    0    0    0    0    0    0    0    0    0    0

 job and jpvt before the decomposition.
    0
    0    0    0

 the value of  kd  =   25

 jpvt

    25   24   23   22   21   20   19   18   17   16

 jpvt

    15   14   13   12   11   10    9    8    7    6

 jpvt

     5    4    3    2    1


 a - trans(r)*r =   9.72754642e-01


1case  6

 5 x 5 pivot and underflow test.

 job and jpvt before the decomposition.
    1
    0    0    0    0    0

 the value of  kd  =    5

 jpvt

     5    3    4    2    1


 a - trans(r)*r =   6.43202040e-01


1case  7

 5 x 5 pivot and overflow test.

 job and jpvt before the decomposition.
    1
    0    0    0    0    0

 the value of  kd  =    1

 jpvt

     1    2    3    4    5


 a - trans(r)*r =  2.69653970e+308



 end of test

rc= 0
** linpack/zg.f
1linpack tester, zge**, zgb**
 this version dated 08/14/78.

 epsilon     =  2.22045e-16
 
 kase  1   hilbert slice   
 n =   3
 norm(a)     =  2.00000e+00
 
  5.0000e-01-5.0000e-01 4.0000e-01-2.0000e-01 3.0000e-01-1.0000e-01
  4.0000e-01-2.0000e-01 3.0000e-01-1.0000e-01 2.3529e-01-5.8824e-02
  3.0000e-01-1.0000e-01 2.3529e-01-5.8824e-02 1.9231e-01-3.8462e-02
 

 null =
  8.518870e-02  6.828663e-03
 -3.428519e-01  1.205199e-01
  2.783766e-01 -1.662343e-01
 
 ml = 2  mu = 2
 cond        =  9.63767e+02
 actual cond =  1.28000e+03
 det fract   = -2.01224  0.45781
 det expon   =      -4.       0.

 x =
  1.000000e+00  1.887379e-15
 -3.469447e-16  1.000000e+00
 -1.000000e+00  8.933487e-15

 xt =
  1.000000e+00 -1.554312e-15
  1.458658e-15  1.000000e+00
 -1.000000e+00 -7.993606e-15
 
 error norms =  2.36023e-14  2.04435e-14
 resid norms =  1.59595e-16  3.33067e-16
 norm(a - lu)=  4.16334e-17
 norm(a*ai-i)=  4.26326e-14
 
 test ratios.. e = epsilon
 
     cond     actual    error    error-t    resid    resid-t    a - lu   a*ai-i 
   -------   -------   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x  e*cond*x    e*a*x     e*a*x      e*a     e*cond 
 
    0.7529    1.3281    0.0368    0.0318    0.1198    0.2500    0.0937    0.1992
 
 no suspicious ratios
 

 band routines agree


 *************

 kase  2   hilbert slice   
 n =   6
 norm(a)     =  2.00000e+00
 ml = 2  mu = 3
 cond        =  3.68167e+01
 actual cond =  6.37797e+01
 det fract   =  1.25395 -2.59124
 det expon   =      -5.       0.
 error norms =  2.18892e-15  3.51380e-15
 resid norms =  4.02456e-16  6.03684e-16
 norm(a - lu)=  4.16334e-17
 norm(a*ai-i)=  3.19189e-15
 
 test ratios.. e = epsilon
 
     cond     actual    error    error-t    resid    resid-t    a - lu   a*ai-i 
   -------   -------   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x  e*cond*x    e*a*x     e*a*x      e*a     e*cond 
 
    0.5772    1.7324    0.0446    0.0716    0.1510    0.2266    0.0937    0.3904
 
 no suspicious ratios
 

 band routines agree


 *************

 kase  3   hilbert slice   
 n =   9
 norm(a)     =  2.00000e+00
 ml = 2  mu = 3
 cond        =  4.21517e+03
 actual cond =  6.84903e+03
 det fract   = -0.63492  0.53809
 det expon   =     -10.       0.
 error norms =  2.20314e-14  1.25926e-13
 resid norms =  3.53016e-16  6.26235e-16
 norm(a - lu)=  4.16334e-17
 norm(a*ai-i)=  3.27238e-13
 
 test ratios.. e = epsilon
 
     cond     actual    error    error-t    resid    resid-t    a - lu   a*ai-i 
   -------   -------   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x  e*cond*x    e*a*x     e*a*x      e*a     e*cond 
 
    0.6154    1.6249    0.0026    0.0149    0.0883    0.1567    0.0937    0.3496
 
 no suspicious ratios
 

 band routines agree


 *************

 kase  4   monoelemental   
 n =   1
 norm(a)     =  4.00000e+00
 
  3.0000e+00 1.0000e+00
 

 null =
  1.000000e+00 -3.330669e-17
 
 ml = 0  mu = 0
 cond        =  1.00000e+00
 actual cond =  1.60000e+00
 det fract   =  3.00000  1.00000
 det expon   =       0.       0.

 x =
  1.000000e+00  0.000000e+00

 xt =
  1.000000e+00  0.000000e+00
 
 error norms =  0.00000e+00  0.00000e+00
 resid norms =  0.00000e+00  0.00000e+00
 norm(a - lu)=  0.00000e+00
 norm(a*ai-i)=  1.11022e-16
 
 test ratios.. e = epsilon
 
     cond     actual    error    error-t    resid    resid-t    a - lu   a*ai-i 
   -------   -------   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x  e*cond*x    e*a*x     e*a*x      e*a     e*cond 
 
    0.6250    1.6000    0.0000    0.0000    0.0000    0.0000    0.0000    0.5000
 
 no suspicious ratios
 

 band routines agree


 *************

 kase  5   monoelemental   
 n =   1
 norm(a)     =  0.00000e+00
 
  0.0000e+00 0.0000e+00
 

 null =
  1.000000e+00  0.000000e+00
 
 ml = 0  mu = 0
 1/cond      =  0.00000e+00

 exact singularity.


 band routines agree


 *************

 kase  6   tridiagonal     
 n =  15
 norm(a)     =  6.00000e+00
 ml = 1  mu = 1
 cond        =  2.87861e+00
 actual cond =  2.99984e+00
 det fract   =  4.08856  0.00000
 det expon   =       8.       0.
 error norms =  5.94967e-17  0.00000e+00
 resid norms =  5.03586e-16  0.00000e+00
 norm(a - lu)=  1.11022e-16
 norm(a*ai-i)=  3.50711e-16
 
 test ratios.. e = epsilon
 
     cond     actual    error    error-t    resid    resid-t    a - lu   a*ai-i 
   -------   -------   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x  e*cond*x    e*a*x     e*a*x      e*a     e*cond 
 
    0.9596    1.0421    0.0062    0.0000    0.0252    0.0000    0.0833    0.5487
 
 no suspicious ratios
 

 band routines agree


 *************

 kase  7   tridiagonal     
 n =  15
 norm(a)     =  2.05000e+02
 ml = 1  mu = 1
 cond        =  1.08576e+16

 maybe singular.

 actual cond =  1.89294e+16
 det fract   = -1.73255 -0.71950
 det expon   =      16.       0.
 error norms =  5.37729e-02  1.44830e-02
 resid norms =  1.00059e-13  2.13163e-13
 norm(a - lu)=  1.77636e-15
 norm(a*ai-i)=  1.85448e-01
 
 test ratios.. e = epsilon
 
     cond     actual    error    error-t    resid    resid-t    a - lu   a*ai-i 
   -------   -------   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x  e*cond*x    e*a*x     e*a*x      e*a     e*cond 
 
    0.5736    1.7434    0.0015    0.0004    0.1460    0.3123    0.0390    0.0769
 
 no suspicious ratios
 

 band routines agree


 *************

 kase  8   tridiagonal     
 n =  15
 norm(a)     =  2.05000e+02
 ml = 1  mu = 1
 cond        =  1.13734e+16

 maybe singular.

 actual cond =  1.89294e+16
 det fract   = -1.73255 -0.71950
 det expon   =      16.       0.
 error norms =  3.78371e-02  2.66368e-02
 resid norms =  2.38279e-13  1.84741e-13
 norm(a - lu)=  1.24900e-16
 norm(a*ai-i)=  2.76953e-02
 
 test ratios.. e = epsilon
 
     cond     actual    error    error-t    resid    resid-t    a - lu   a*ai-i 
   -------   -------   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x  e*cond*x    e*a*x     e*a*x      e*a     e*cond 
 
    0.6008    1.6644    0.0010    0.0007    0.3481    0.2704    0.0027    0.0110
 
 no suspicious ratios
 

 band routines agree


 *************

 kase  9   rank one        
 n =   5
 norm(a)     =  1.11110e+04
 ml = 4  mu = 4
 1/cond      =  0.00000e+00

 exact singularity.


 band routines agree


 *************

 kase 10   zero column     
 n =   4
 norm(a)     =  4.16667e+00
 ml = 3  mu = 3
 1/cond      =  0.00000e+00

 exact singularity.


 band routines agree


 *************

 kase 11   test cond       
 n =   5
 norm(a)     =  9.00000e+00
 ml = 4  mu = 4
 cond        =  1.04001e+03
 actual cond =  1.53900e+03
 det fract   =  1.00000  0.00000
 det expon   =       0.       0.
 error norms =  0.00000e+00  0.00000e+00
 resid norms =  0.00000e+00  0.00000e+00
 norm(a - lu)=  0.00000e+00
 norm(a*ai-i)=  0.00000e+00
 
 test ratios.. e = epsilon
 
     cond     actual    error    error-t    resid    resid-t    a - lu   a*ai-i 
   -------   -------   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x  e*cond*x    e*a*x     e*a*x      e*a     e*cond 
 
    0.6758    1.4798    0.0000    0.0000    0.0000    0.0000    0.0000    0.0000
 
 no suspicious ratios
 

 band routines agree


 *************

 kase 12   identity        
 n =   3
 norm(a)     =  1.00000e+00
 
  1.0000e+00 0.0000e+00 0.0000e+00 0.0000e+00 0.0000e+00 0.0000e+00
  0.0000e+00 0.0000e+00 1.0000e+00 0.0000e+00 0.0000e+00 0.0000e+00
  0.0000e+00 0.0000e+00 0.0000e+00 0.0000e+00 1.0000e+00 0.0000e+00
 

 null =
  3.333333e-01  0.000000e+00
  3.333333e-01  0.000000e+00
  3.333333e-01  0.000000e+00
 
 ml = 0  mu = 0
 cond        =  1.00000e+00
 actual cond =  1.00000e+00
 det fract   =  1.00000  0.00000
 det expon   =       0.       0.

 x =
  1.000000e+00  0.000000e+00
  0.000000e+00  1.000000e+00
 -1.000000e+00  0.000000e+00

 xt =
  1.000000e+00  0.000000e+00
  0.000000e+00  1.000000e+00
 -1.000000e+00  0.000000e+00
 
 error norms =  0.00000e+00  0.00000e+00
 resid norms =  0.00000e+00  0.00000e+00
 norm(a - lu)=  0.00000e+00
 norm(a*ai-i)=  0.00000e+00
 
 test ratios.. e = epsilon
 
     cond     actual    error    error-t    resid    resid-t    a - lu   a*ai-i 
   -------   -------   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x  e*cond*x    e*a*x     e*a*x      e*a     e*cond 
 
    1.0000    1.0000    0.0000    0.0000    0.0000    0.0000    0.0000    0.0000
 
 no suspicious ratios
 

 band routines agree


 *************

 kase 13   upper triangular
 n =   6
 norm(a)     =  3.60000e+01
 ml = 0  mu = 5
 cond        =  2.63921e+02
 actual cond =  4.32000e+02
 det fract   =  1.00000  0.00000
 det expon   =       0.       0.
 error norms =  0.00000e+00  0.00000e+00
 resid norms =  0.00000e+00  0.00000e+00
 norm(a - lu)=  0.00000e+00
 norm(a*ai-i)=  0.00000e+00
 
 test ratios.. e = epsilon
 
     cond     actual    error    error-t    resid    resid-t    a - lu   a*ai-i 
   -------   -------   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x  e*cond*x    e*a*x     e*a*x      e*a     e*cond 
 
    0.6109    1.6369    0.0000    0.0000    0.0000    0.0000    0.0000    0.0000
 
 no suspicious ratios
 

 band routines agree


 *************

 kase 14   lower triangular
 n =   6
 norm(a)     =  2.70000e+01
 ml = 5  mu = 0
 cond        =  4.30174e+01
 actual cond =  9.78750e+01
 det fract   = -0.00000  8.00000
 det expon   =       0.       0.
 error norms =  3.79224e-15  4.13558e-15
 resid norms =  7.21645e-15  5.55112e-15
 norm(a - lu)=  3.33067e-15
 norm(a*ai-i)=  4.09395e-15
 
 test ratios.. e = epsilon
 
     cond     actual    error    error-t    resid    resid-t    a - lu   a*ai-i 
   -------   -------   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x  e*cond*x    e*a*x     e*a*x      e*a     e*cond 
 
    0.4395    2.2752    0.0662    0.0722    0.2006    0.1543    0.5556    0.4286
 
 no suspicious ratios
 

 band routines agree


 *************

 kase 15   near underflow  
 n =   5
 tiny        = 8.90030e-308
 norm(a)     = 4.45015e-307
 ml = 4  mu = 4
 cond        =  5.84694e+01
 actual cond = 1.79769e+308
 det fract   =  4.65416  0.00000
 det expon   =   -1538.       0.
 error norms =  2.49800e-15  6.66134e-16
 resid norms =  0.00000e+00  0.00000e+00
 norm(a - lu)=  0.00000e+00
 norm(a*ai-i)=  4.44089e-15
 
 test ratios.. e = epsilon
 
     cond     actual    error    error-t    resid    resid-t    a - lu   a*ai-i 
   -------   -------   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x  e*cond*x    e*a*x     e*a*x      e*a     e*cond 
 
    0.0000 *********    0.0385    0.0103    0.0900    0.0200    0.0000    0.3421
 
       0         1         0         0         0         0         0         0
       1 indicates suspicious ratio
 

 band routines agree


 *************

 kase 16   near overflow   
 n =   5
 huge        = 1.12356e+307
 norm(a)     = 5.61779e+307
 ml = 4  mu = 4
 cond        =  5.84694e+01
 actual cond =  8.00000e+01
 det fract   =  1.49210  0.00000
 det expon   =    1533.       0.
 error norms =  2.63678e-15  9.43690e-16
 resid norms = 3.43035e+291 3.74220e+291
 norm(a - lu)= 1.24740e+291
 norm(a*ai-i)=  4.44089e-15
 
 test ratios.. e = epsilon
 
     cond     actual    error    error-t    resid    resid-t    a - lu   a*ai-i 
   -------   -------   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x  e*cond*x    e*a*x     e*a*x      e*a     e*cond 
 
    0.7309    1.3682    0.0406    0.0145    0.0550    0.0600    0.1000    0.3421
 
 no suspicious ratios
 

 band routines agree


 *************

1summary
 number of tests =  16
 number of singular matrices =   3
 number of band failures =   0
 number of suspicious ratios =   0   1   0   0   0   0   0   0

 end of test
rc= 0
** linpack/zgt.f
1linpack tester, zgt**, zpt**
 this version dated 08/14/78 .
 machine epsilon =  2.22045e-16
 
 matrix number   1
 n =   1
 1.0000e+00 0.0000e+00
 results for zgtsl

 x =
  1.000000e+00  0.000000e+00

 b =
  1.000000e+00  0.000000e+00
 error norms =  0.00000e+00
 resid norms =  0.00000e+00
 
 test ratios.. e = macheps
 
    error     resid 
   -------   -------
     e*x      e*a*x 
 
    0.0000    0.0000
 

 *************

 matrix number   1
 n =   1
 1.0000e+00 0.0000e+00
 results for zptsl

 x =
  1.000000e+00  0.000000e+00

 b =
  1.000000e+00  0.000000e+00
 error norms =  0.00000e+00
 resid norms =  0.00000e+00
 
 test ratios.. e = macheps
 
    error     resid 
   -------   -------
     e*x      e*a*x 
 
    0.0000    0.0000
 

 *************

 matrix number   2
 n =   2
 norm(a)     =  6.00000e+00
 
 2.0000e+00 0.0000e+00
 
 4.0000e+00 0.0000e+00 4.0000e+00 0.0000e+00
 
 2.0000e+00 0.0000e+00
 
 results for zgtsl

 x =
  1.000000e+00  0.000000e+00
  0.000000e+00  1.000000e+00

 b =
  4.000000e+00  2.000000e+00
  2.000000e+00  4.000000e+00
 error norms =  0.00000e+00
 resid norms =  0.00000e+00
 
 test ratios.. e = macheps
 
    error     resid 
   -------   -------
     e*x      e*a*x 
 
    0.0000    0.0000
 

 *************

 matrix number   2
 n =   2
 norm(a)     =  6.00000e+00
 
 2.0000e+00 0.0000e+00
 
 4.0000e+00 0.0000e+00 4.0000e+00 0.0000e+00
 
 2.0000e+00 0.0000e+00
 
 results for zptsl

 x =
  1.000000e+00  0.000000e+00
  0.000000e+00  1.000000e+00

 b =
  4.000000e+00  2.000000e+00
  2.000000e+00  4.000000e+00
 error norms =  0.00000e+00
 resid norms =  0.00000e+00
 
 test ratios.. e = macheps
 
    error     resid 
   -------   -------
     e*x      e*a*x 
 
    0.0000    0.0000
 

 *************

 matrix number   3
 n =   3
 norm(a)     =  9.69231e-01
 
 1.6216e-01-2.7027e-02 1.2308e-01-1.5385e-02
 
 3.0000e-01-1.0000e-01 1.9231e-01-3.8462e-02 1.4000e-01-2.0000e-02
 
 4.0000e-01-2.0000e-01 2.3529e-01-5.8824e-02
 
 results for zgtsl

 x =
  1.000000e+00  1.665335e-16
  2.220446e-16  1.000000e+00
 -1.000000e+00 -4.591957e-17

 b =
  5.000000e-01  3.000000e-01
 -3.467042e-02  2.241042e-01
 -1.246154e-01  1.430769e-01
 error norms =  8.78587e-16
 resid norms =  5.55112e-17
 
 test ratios.. e = macheps
 
    error     resid 
   -------   -------
     e*x      e*a*x 
 
    0.0860    1.3189
 

 *************

 matrix number   4
 n =   6
 norm(a)     =  9.69231e-01
 results for zgtsl
 error norms =  4.39859e-15
 resid norms =  2.22045e-16
 
 test ratios.. e = macheps
 
    error     resid 
   -------   -------
     e*x      e*a*x 
 
    0.1720    3.3016
 

 *************

 matrix number   5
 n =   9
 norm(a)     =  9.69231e-01
 results for zgtsl
 error norms =  6.24015e-15
 resid norms =  2.98372e-16
 
 test ratios.. e = macheps
 
    error     resid 
   -------   -------
     e*x      e*a*x 
 
    0.1540    3.1226
 

 *************

 matrix number   6
 n =  10
 norm(a)     =  6.00000e+00
 results for zgtsl
 error norms =  5.94967e-17
 resid norms =  4.44089e-16
 
 test ratios.. e = macheps
 
    error     resid 
   -------   -------
     e*x      e*a*x 
 
    0.0333    0.0268
 

 *************

 matrix number   6
 n =  10
 norm(a)     =  6.00000e+00
 results for zptsl
 error norms =  0.00000e+00
 resid norms =  0.00000e+00
 
 test ratios.. e = macheps
 
    error     resid 
   -------   -------
     e*x      e*a*x 
 
    0.0000    0.0000
 

 *************

 matrix number   7
 n =  20
 norm(a)     =  6.00000e+00
 results for zgtsl
 error norms =  2.08238e-16
 resid norms =  1.55431e-15
 
 test ratios.. e = macheps
 
    error     resid 
   -------   -------
     e*x      e*a*x 
 
    0.0583    0.0469
 

 *************

 matrix number   7
 n =  20
 norm(a)     =  6.00000e+00
 results for zptsl
 error norms =  1.18993e-16
 resid norms =  6.66134e-16
 
 test ratios.. e = macheps
 
    error     resid 
   -------   -------
     e*x      e*a*x 
 
    0.0250    0.0268
 

 *************

 matrix number   8
 n =  10
 norm(a)     =  9.00000e+00
 results for zgtsl
 error norms =  1.12747e-15
 resid norms =  3.55271e-15
 
 test ratios.. e = macheps
 
    error     resid 
   -------   -------
     e*x      e*a*x 
 
    0.1778    0.5078
 

 *************

 matrix number   8
 n =  10
 norm(a)     =  9.00000e+00
 results for zptsl
 error norms =  1.01446e-15
 resid norms =  3.66374e-15
 
 test ratios.. e = macheps
 
    error     resid 
   -------   -------
     e*x      e*a*x 
 
    0.1833    0.4569
 

 *************

 matrix number   9
 n =  20
 norm(a)     =  9.00000e+00
 results for zgtsl
 error norms =  2.18734e-15
 resid norms =  8.77076e-15
 
 test ratios.. e = macheps
 
    error     resid 
   -------   -------
     e*x      e*a*x 
 
    0.2194    0.4925
 

 *************

 matrix number   9
 n =  20
 norm(a)     =  9.00000e+00
 results for zptsl
 error norms =  2.29502e-15
 resid norms =  9.88098e-15
 
 test ratios.. e = macheps
 
    error     resid 
   -------   -------
     e*x      e*a*x 
 
    0.2472    0.5168
 

 *************

 matrix number  10
 n =  10
 norm(a)     =  1.00000e+00
 results for zgtsl
 error norms =  0.00000e+00
 resid norms =  0.00000e+00
 
 test ratios.. e = macheps
 
    error     resid 
   -------   -------
     e*x      e*a*x 
 
    0.0000    0.0000
 

 *************

 matrix number  10
 n =  10
 norm(a)     =  1.00000e+00
 results for zptsl
 error norms =  0.00000e+00
 resid norms =  0.00000e+00
 
 test ratios.. e = macheps
 
    error     resid 
   -------   -------
     e*x      e*a*x 
 
    0.0000    0.0000
 

 *************

1summary
 number of tests =  10
 number of singular matrices =   0
 number of suspicious ratios =   0   0

 end of test
rc= 0
** linpack/zp.f
1linpack tester, zpo**, zpp**, zpb**
 this version dated 08/14/78.

 epsilon     =  2.22045e-16
 
 kase  1   hilbert         
 n =   5
 norm(a)     =  2.59399e+00
 m  = 4
 cond        =  7.88521e+05
 actual cond =  1.29468e+06
 det fract   =  3.74930
 det expon   =     -12.
 error norm  =  4.67882e-11
 resid norm  =  1.01308e-15
 norm(a-rt*r)=  0.00000e+00
 norm(a*ai-i)=  2.00089e-11
 
 test ratios.. e = epsilon
 
     cond     actual    error     resid   a - rt*r  a*ai - i
   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x    e*a*x      e*a     e*cond 
 
    0.6090    1.6419    0.0534    0.3518    0.0000    0.1143
 
 no suspicious ratios
 

 packed routines agree

 band routines agree


 *************

 kase  2   hilbert         
 n =  10
 norm(a)     =  3.40186e+00
 m  = 9
 cond        =  3.11221e+13
 actual cond =  4.95805e+13
 det fract   =  2.16377
 det expon   =     -53.
 error norm  =  1.36390e-03
 resid norm  =  2.81198e-15
 norm(a-rt*r)=  0.00000e+00
 norm(a*ai-i)=  2.21710e-02
 
 test ratios.. e = epsilon
 
     cond     actual    error     resid   a - rt*r  a*ai - i
   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x    e*a*x      e*a     e*cond 
 
    0.6277    1.5931    0.0197    0.3722    0.0000    3.2083
 
 no suspicious ratios
 

 packed routines agree

 band routines agree


 *************

 kase  3   hilbert         
 n =  15
 norm(a)     =  3.85523e+00
 m  =14
 not positive definite, info =13

 packed routines agree

 band routines agree


 *************

 kase  4   monoelemental   
 n =   1
 norm(a)     =  3.00000e+00
 
  3.0000e+00 0.0000e+00
 

 null =
  1.000000e+00  0.000000e+00
 
 m  = 0
 cond        =  1.00000e+00
 actual cond =  1.00000e+00
 det fract   =  3.00000
 det expon   =       0.

 x =
  1.000000e+00  0.000000e+00
 
 error norm  =  2.22045e-16
 resid norm  =  8.88178e-16
 norm(a-rt*r)=  4.44089e-16
 norm(a*ai-i)=  2.22045e-16
 
 test ratios.. e = epsilon
 
     cond     actual    error     resid   a - rt*r  a*ai - i
   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x    e*a*x      e*a     e*cond 
 
    1.0000    1.0000    1.0000    1.3333    0.6667    1.0000
 
 no suspicious ratios
 

 packed routines agree

 band routines agree


 *************

 kase  5   monoelemental   
 n =   1
 norm(a)     =  0.00000e+00
 
  0.0000e+00 0.0000e+00
 
 m  = 0
 not positive definite, info = 1

 packed routines agree

 band routines agree


 *************

 kase  6   tridiagonal     
 n =  15
 norm(a)     =  6.00000e+00
 m  = 1
 cond        =  2.87861e+00
 actual cond =  2.99984e+00
 det fract   =  4.08856
 det expon   =       8.
 error norm  =  1.34796e-15
 resid norm  =  4.42115e-15
 norm(a-rt*r)=  4.44089e-16
 norm(a*ai-i)=  6.30699e-16
 
 test ratios.. e = epsilon
 
     cond     actual    error     resid   a - rt*r  a*ai - i
   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x    e*a*x      e*a     e*cond 
 
    0.9596    1.0421    0.1406    0.2212    0.3333    0.9867
 
 no suspicious ratios
 

 packed routines agree

 band routines agree


 *************

 kase  7   tridiagonal     
 n =  15
 norm(a)     =  1.00000e+01
 m  = 1
 not positive definite, info = 6

 packed routines agree

 band routines agree


 *************

 kase  8   diagonal        
 n =  15
 norm(a)     =  4.00000e+00
 m  = 0
 cond        =  1.00000e+00
 actual cond =  1.00000e+00
 det fract   =  1.07374
 det expon   =       9.
 error norm  =  0.00000e+00
 resid norm  =  0.00000e+00
 norm(a-rt*r)=  0.00000e+00
 norm(a*ai-i)=  0.00000e+00
 
 test ratios.. e = epsilon
 
     cond     actual    error     resid   a - rt*r  a*ai - i
   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x    e*a*x      e*a     e*cond 
 
    1.0000    1.0000    0.0000    0.0000    0.0000    0.0000
 
 no suspicious ratios
 

 packed routines agree

 band routines agree


 *************

 kase  9   pentadiagonal   
 n =   5
 norm(a)     =  4.07738e+05
 m  = 2
 cond        =  1.19114e+06
 actual cond =  1.36928e+06
 det fract   =  2.08224
 det expon   =      13.
 error norm  =  3.73237e-15
 resid norm  =  3.58279e-12
 norm(a-rt*r)=  2.27374e-13
 norm(a*ai-i)=  1.88738e-14
 
 test ratios.. e = epsilon
 
     cond     actual    error     resid   a - rt*r  a*ai - i
   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x    e*a*x      e*a     e*cond 
 
    0.8699    1.1496    0.0000    0.0079    0.0025    0.0001
 
 no suspicious ratios
 

 packed routines agree

 band routines agree


 *************

 kase 10   tridiag inverse 
 n =   6
 norm(a)     =  2.10000e+01
 m  = 5
 cond        =  7.70000e+01
 actual cond =  8.40000e+01
 det fract   = 10.00000
 det expon   =      -1.
 error norm  =  4.51974e-15
 resid norm  =  5.21805e-15
 norm(a-rt*r)=  8.88178e-16
 norm(a*ai-i)=  4.44089e-15
 
 test ratios.. e = epsilon
 
     cond     actual    error     resid   a - rt*r  a*ai - i
   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x    e*a*x      e*a     e*cond 
 
    0.9167    1.0909    0.0441    0.1865    0.1905    0.2597
 
 no suspicious ratios
 

 packed routines agree

 band routines agree


 *************

 kase 11   test cond       
 n =  15
 norm(a)     =  9.40000e+01
 m  =14
 cond        =  1.12146e+10
 actual cond =  1.68220e+10
 det fract   =  1.00000
 det expon   =       0.
 error norm  =  0.00000e+00
 resid norm  =  0.00000e+00
 norm(a-rt*r)=  0.00000e+00
 norm(a*ai-i)=  0.00000e+00
 
 test ratios.. e = epsilon
 
     cond     actual    error     resid   a - rt*r  a*ai - i
   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x    e*a*x      e*a     e*cond 
 
    0.6667    1.5000    0.0000    0.0000    0.0000    0.0000
 
 no suspicious ratios
 

 packed routines agree

 band routines agree


 *************

 kase 12   near underflow  
 n =   5
 tiny        = 8.90030e-308
 norm(a)     = 2.98160e-307
 m  = 4
 cond        =  1.94300e+01
 actual cond =  2.68000e+01
 det fract   =  3.66515
 det expon   =   -1537.
 error norm  =  3.30257e-15
 resid norm  =  0.00000e+00
 norm(a-rt*r)=  0.00000e+00
 norm(a*ai-i)=  1.65917e-15
 
 test ratios.. e = epsilon
 
     cond     actual    error     resid   a - rt*r  a*ai - i
   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x    e*a*x      e*a     e*cond 
 
    0.7250    1.3793    0.1531    0.2923    0.1538    0.3846
 
 no suspicious ratios
 

 packed routines agree

 band routines agree


 *************

 kase 13   near overflow   
 n =   5
 huge        = 1.12356e+307
 norm(a)     = 3.76392e+307
 m  = 4
 cond        =  1.94300e+01
 actual cond =  2.68000e+01
 det fract   =  1.17503
 det expon   =    1534.
 error norm  =  2.52278e-15
 resid norm  = 8.90505e+291
 norm(a-rt*r)= 1.24740e+291
 norm(a*ai-i)=  2.27596e-15
 
 test ratios.. e = epsilon
 
     cond     actual    error     resid   a - rt*r  a*ai - i
   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x    e*a*x      e*a     e*cond 
 
    0.7250    1.3793    0.1169    0.2131    0.1493    0.5275
 
 no suspicious ratios
 

 packed routines agree

 band routines agree


 *************

1summary
 number of tests =  13
 number of not positive definite =   3
 number of packed failures =   0
 number of band failures =   0

 number of suspicious ratios =   0   0   0   0   0   0

 end of test
rc= 0
** linpack/zqr.f
1linpack tester, zqr**
 this version dated 08/14/78.


1case  1

 well conditioned least squares problem
 and underflow test.

 statistics

    forward multiplication ........  4.43e+00
    back multiplication ...........  3.84e+00 
    beta ..........................  7.42e+00
    x*beta ........................  6.56e-01
    residual ......................  1.03e+00


1case  2

 4 x 10 matrix

 statistics

    forward multiplication ........  1.72e+00
    back multiplication ...........  3.36e+00


1case  3

 pivoting and overflow test
 with columns 1,4,7 frozen
 on return the last  three entries of jpvt
 should be 1,4,7 in that order.

 jpvt

     9    6    3    2    5    8    1    4    7

 statistics

    forward multiplication ........  4.00e+00
    back multiplication ...........  3.11e+00


1case  4

 25 x 25 matrix

 jpvt

     1    2    3    4    5    6    7    8    9   10

 jpvt

    11   25   12   13   14   15   16   17   18   19

 jpvt

    20   21   22   23   24

 statistics

    forward multiplication ........  1.68e+00
    back multiplication ...........  7.34e-01


1case  5

 monoelemental matrix

 statistics

    forward multiplication ........  0.00e+00
    back multiplication ...........  0.00e+00


1case  6

 zero matrix

 jpvt

     1    2    3    4

 statistics

    forward multiplication ........  0.00e+00
    back multiplication ...........  0.00e+00


1case  7

 10 x 1 matrix with least squares problem

 statistics

    forward multiplication ........  2.50e+00
    back multiplication ...........  6.25e-01 
    beta ..........................  6.00e+00
    x*beta ........................  5.63e-01
    residual ......................  1.65e-04


1case  8

 1 x 4 matrix

 jpvt

     2    1    3    4

 statistics

    forward multiplication ........  0.00e+00
    back multiplication ...........  0.00e+00


1case  9

 pivoting test
 on return the first three entries of jpvt
 should be 3,6,9 but not necessarily
 in that order.

 jpvt

     9    6    3    2    1    4    7    8    5

 statistics

    forward multiplication ........  4.00e+00
    back multiplication ...........  3.11e+00

1end of qr test
rc= 0
** linpack/zs.f
1linpack tester, zsi**, zsp**
 this version dated 08/14/78.

 epsilon     =  2.22045e-16
 
 kase  1   complex*16 hilbert 
 n =   5
 norm(a)     =  2.59399e+00
 kpvt        =  1  2  1  4  5
 cond        =  2.99045e+01
 actual cond =  4.42967e+01
 det fract   = -3.47468  0.71180
 det expon   =      -3.       0.
 error norm  =  3.45619e-15
 resid norm  =  4.67043e-16
 norm(a-udut)=  4.16334e-16
 norm(a*ai-i)=  4.49640e-15
 
 test ratios.. e = epsilon
 
     cond     actual    error     resid   a-u*d*ut  a*ai - i
   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x    e*a*x      e*a     e*cond 
 
    0.6751    1.4813    0.1041    0.1622    0.7228    0.6772
 
 no suspicious ratios
 

 packed routines agree

 *************

 kase  2   complex*16 hilbert 
 n =  10
 norm(a)     =  3.40186e+00
 kpvt        =  1  2  3  4  5  4  7  8  2  1
 cond        =  8.61215e+01
 actual cond =  1.40946e+02
 det fract   =  2.40470  1.53734
 det expon   =      -8.       0.
 error norm  =  9.39822e-15
 resid norm  =  1.34603e-15
 norm(a-udut)=  2.84495e-16
 norm(a*ai-i)=  5.29335e-15
 
 test ratios.. e = epsilon
 
     cond     actual    error     resid   a-u*d*ut  a*ai - i
   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x    e*a*x      e*a     e*cond 
 
    0.6110    1.6366    0.0491    0.1782    0.3766    0.2768
 
 no suspicious ratios
 

 packed routines agree

 *************

 kase  3   complex*16 hilbert 
 n =  15
 norm(a)     =  3.85523e+00
 kpvt        =  1  2  3  4  5  6  7  8 -3 -3  5  3  1 14 15
 cond        =  1.65330e+02
 actual cond =  2.53015e+02
 det fract   = -0.37282 -1.65854
 det expon   =     -14.       0.
 error norm  =  2.41776e-14
 resid norm  =  2.22014e-15
 norm(a-udut)=  4.99600e-16
 norm(a*ai-i)=  3.25669e-14
 
 test ratios.. e = epsilon
 
     cond     actual    error     resid   a-u*d*ut  a*ai - i
   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x    e*a*x      e*a     e*cond 
 
    0.6534    1.5304    0.0439    0.1729    0.5836    0.8871
 
 no suspicious ratios
 

 packed routines agree

 *************

 kase  4   monoelemental   
 n =   1
 norm(a)     =  3.00000e+00
 
  3.0000e+00 0.0000e+00
 
 kpvt        =  1

 null =
  1.000000e+00  0.000000e+00
 
 cond        =  1.00000e+00
 actual cond =  1.00000e+00
 det fract   =  3.00000  0.00000
 det expon   =       0.       0.

 x =
  1.000000e+00  0.000000e+00
 
 error norm  =  0.00000e+00
 resid norm  =  0.00000e+00
 norm(a-udut)=  0.00000e+00
 norm(a*ai-i)=  0.00000e+00
 
 test ratios.. e = epsilon
 
     cond     actual    error     resid   a-u*d*ut  a*ai - i
   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x    e*a*x      e*a     e*cond 
 
    1.0000    1.0000    0.0000    0.0000    0.0000    0.0000
 
 no suspicious ratios
 

 packed routines agree

 *************

 kase  5   monoelemental   
 n =   1
 norm(a)     =  0.00000e+00
 
  0.0000e+00 0.0000e+00
 
 kpvt        =  1

 null =
  1.000000e+00  0.000000e+00
 
 1/cond      =  0.00000e+00
 det fract   =  0.00000  0.00000

 packed routines agree

 *************

 kase  6   tridiagonal     
 n =  15
 norm(a)     =  6.00000e+00
 kpvt        =  1  2  3  4  5  6  7  8  9 10 11 12 13 14 15
 cond        =  2.87861e+00
 actual cond =  2.99984e+00
 det fract   =  4.08856  0.00000
 det expon   =       8.       0.
 error norm  =  5.55112e-17
 resid norm  =  2.77556e-16
 norm(a-udut)=  1.11022e-16
 norm(a*ai-i)=  2.86506e-16
 
 test ratios.. e = epsilon
 
     cond     actual    error     resid   a-u*d*ut  a*ai - i
   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x    e*a*x      e*a     e*cond 
 
    0.9596    1.0421    0.0058    0.0139    0.0833    0.4482
 
 no suspicious ratios
 

 packed routines agree

 *************

 kase  7   tridiagonal     
 n =  15
 norm(a)     =  1.20000e+01
 kpvt        =  1  2  3  4  5  6  7  8  9 10 11 12 13 14 15
 cond        =  7.88648e+00
 actual cond =  2.07249e+01
 det fract   = -0.81838 -0.41670
 det expon   =       9.       0.
 error norm  =  4.22480e-15
 resid norm  =  1.87628e-14
 norm(a-udut)=  4.44089e-16
 norm(a*ai-i)=  1.33574e-15
 
 test ratios.. e = epsilon
 
     cond     actual    error     resid   a-u*d*ut  a*ai - i
   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x    e*a*x      e*a     e*cond 
 
    0.3805    2.6279    0.1608    0.4694    0.1667    0.7628
 
 no suspicious ratios
 

 packed routines agree

 *************

 kase  8   tridiagonal     
 n =  15
 norm(a)     =  4.04000e+02
 kpvt        =  1 -2 -2 -4 -4 -6 -6 -8 -8-10-10-12-12-14-14
 cond        =  1.01157e+02
 actual cond =  1.15796e+02
 det fract   = -0.03441  4.09592
 det expon   =      31.       0.
 error norm  =  2.28025e-14
 resid norm  =  2.81568e-13
 norm(a-udut)=  2.84217e-14
 norm(a*ai-i)=  1.22504e-14
 
 test ratios.. e = epsilon
 
     cond     actual    error     resid   a-u*d*ut  a*ai - i
   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x    e*a*x      e*a     e*cond 
 
    0.8736    1.1447    0.0677    0.2093    0.3168    0.5454
 
 no suspicious ratios
 

 packed routines agree

 *************

 kase  9   pentadiagonal   
 n =   5
 norm(a)     =  4.07738e+05
 kpvt        =  1  1  3  2  5
 cond        =  1.19525e+06
 actual cond =  1.36928e+06
 det fract   =  2.08224  0.00000
 det expon   =      13.       0.
 error norm  =  1.25179e-14
 resid norm  =  6.09683e-11
 norm(a-udut)=  1.42109e-14
 norm(a*ai-i)=  1.33227e-14
 
 test ratios.. e = epsilon
 
     cond     actual    error     resid   a-u*d*ut  a*ai - i
   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x    e*a*x      e*a     e*cond 
 
    0.8729    1.1456    0.0000    0.1347    0.0002    0.0001
 
 no suspicious ratios
 

 packed routines agree

 *************

 kase 10   tridiag inverse 
 n =   6
 norm(a)     =  4.20000e+01
 kpvt        =  1  2  3  4  5  6
 cond        =  7.70000e+01
 actual cond =  1.68000e+02
 det fract   =  0.00000 -8.00000
 det expon   =       0.       0.
 error norm  =  0.00000e+00
 resid norm  =  0.00000e+00
 norm(a-udut)=  0.00000e+00
 norm(a*ai-i)=  0.00000e+00
 
 test ratios.. e = epsilon
 
     cond     actual    error     resid   a-u*d*ut  a*ai - i
   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x    e*a*x      e*a     e*cond 
 
    0.4583    2.1818    0.0000    0.0000    0.0000    0.0000
 
 no suspicious ratios
 

 packed routines agree

 *************

 kase 11   zero diagonal   
 n =  10
 norm(a)     =  4.00000e+00
 kpvt        = -1 -1 -3 -3 -5 -5 -7 -7 -9 -9
 cond        =  7.33333e+00
 actual cond =  2.00000e+01
 det fract   =  0.00000 -3.20000
 det expon   =       1.       0.
 error norm  =  0.00000e+00
 resid norm  =  0.00000e+00
 norm(a-udut)=  0.00000e+00
 norm(a*ai-i)=  0.00000e+00
 
 test ratios.. e = epsilon
 
     cond     actual    error     resid   a-u*d*ut  a*ai - i
   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x    e*a*x      e*a     e*cond 
 
    0.3667    2.7273    0.0000    0.0000    0.0000    0.0000
 
 no suspicious ratios
 

 packed routines agree

 *************

 kase 12   two by two      
 n =   2
 norm(a)     =  7.00000e+00
 
  4.0000e+00 0.0000e+00 1.0000e+00 2.0000e+00
  1.0000e+00 2.0000e+00 0.0000e+00 0.0000e+00
 
 kpvt        =  1  1

 null =
 -1.966292e-01 -2.621723e-01
  5.299625e-01 -1.123596e-02
 
 cond        =  5.75077e+00
 actual cond =  1.20400e+01
 det fract   =  3.00000 -4.00000
 det expon   =       0.       0.

 x =
  1.000000e+00  0.000000e+00
  0.000000e+00  1.000000e+00
 
 error norm  =  0.00000e+00
 resid norm  =  0.00000e+00
 norm(a-udut)=  0.00000e+00
 norm(a*ai-i)=  0.00000e+00
 
 test ratios.. e = epsilon
 
     cond     actual    error     resid   a-u*d*ut  a*ai - i
   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x    e*a*x      e*a     e*cond 
 
    0.4776    2.0936    0.0000    0.0000    0.0000    0.0000
 
 no suspicious ratios
 

 packed routines agree

 *************

 kase 13    zero matrix    
 n =   6
 norm(a)     =  0.00000e+00
 kpvt        =  1  2  3  4  5  6
 1/cond      =  0.00000e+00
 det fract   =  0.00000  0.00000

 packed routines agree

 *************

 kase 14
 n =   3
 norm(a)     =  1.00000e+00
 
  0.0000e+00 0.0000e+00 0.0000e+00 0.0000e+00 1.0000e+00 0.0000e+00
  0.0000e+00 0.0000e+00 0.0000e+00 0.0000e+00 0.0000e+00 0.0000e+00
  1.0000e+00 0.0000e+00 0.0000e+00 0.0000e+00 0.0000e+00 0.0000e+00
 
 kpvt        =  1 -1 -1

 null =
  0.000000e+00  0.000000e+00
  1.000000e+00  0.000000e+00
  0.000000e+00  0.000000e+00
 
 1/cond      =  0.00000e+00
 det fract   =  0.00000  0.00000

 packed routines agree

 *************

 kase 15                   
 n =  15
 norm(a)     =  8.00000e+01
 kpvt        =  1  2  3  4  5  6  7  8  9 10 11 12 13 14 15
 cond        =  2.07761e+00
 actual cond =  4.33564e+00
 det fract   =  2.35230 -2.57029
 det expon   =      23.       0.
 error norm  =  1.82175e-15
 resid norm  =  8.39329e-14
 norm(a-udut)=  2.44249e-15
 norm(a*ai-i)=  9.31113e-16
 
 test ratios.. e = epsilon
 
     cond     actual    error     resid   a-u*d*ut  a*ai - i
   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x    e*a*x      e*a     e*cond 
 
    0.4792    2.0868    0.2633    0.3150    0.1375    2.0184
 
 no suspicious ratios
 

 packed routines agree

 *************

 kase 16                   
 n =  15
 norm(a)     =  4.30000e+01
 kpvt        =  1  2  3  4  5  6  7  8  9 10 11 12 13 14 15
 cond        =  9.62154e+00
 actual cond =  4.76071e+01
 det fract   =  6.65136  0.30134
 det expon   =      13.       0.
 error norm  =  2.69539e-15
 resid norm  =  2.28290e-14
 norm(a-udut)=  4.52416e-15
 norm(a*ai-i)=  1.90473e-15
 
 test ratios.. e = epsilon
 
     cond     actual    error     resid   a-u*d*ut  a*ai - i
   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x    e*a*x      e*a     e*cond 
 
    0.2021    4.9480    0.0841    0.1594    0.4738    0.8916
 
 no suspicious ratios
 

 packed routines agree

 *************

 kase 17   near underflow  
 n =   5
 tiny        = 8.90030e-308
 norm(a)     = 1.07694e-306
 kpvt        =  1  2  3 -1 -1
 cond        =  1.51587e+01
 actual cond =  2.86303e+01
 det fract   =  1.59494 -1.17260
 det expon   =   -1534.       0.
 error norm  =  2.61415e-15
 resid norm  =  0.00000e+00
 norm(a-udut)=  0.00000e+00
 norm(a*ai-i)=  1.85952e-15
 
 test ratios.. e = epsilon
 
     cond     actual    error     resid   a-u*d*ut  a*ai - i
   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x    e*a*x      e*a     e*cond 
 
    0.5295    1.8887    0.1553    0.1875    0.7292    0.5525
 
 no suspicious ratios
 

 packed routines agree

 *************

 kase 18   near overflow   
 n =   5
 huge        = 1.12356e+307
 norm(a)     = 1.35951e+308
 kpvt        =  1  2  3 -1 -1
 cond        =  1.51587e+01
 actual cond =  2.86303e+01
 det fract   =  5.11328 -3.75929
 det expon   =    1536.       0.
 error norm  =  4.08005e-15
 resid norm  = 5.23908e+292
 norm(a-udut)= 2.22973e+292
 norm(a*ai-i)=  2.86143e-15
 
 test ratios.. e = epsilon
 
     cond     actual    error     resid   a-u*d*ut  a*ai - i
   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x    e*a*x      e*a     e*cond 
 
    0.5295    1.8887    0.2424    0.3471    0.7386    0.8501
 
 no suspicious ratios
 

 packed routines agree

 *************

1summary
 number of tests =  18
 number of zero pivot =   3
 number of packed failures =   0

 number of suspicious ratios =   0   0   0   0   0   0

 end of test
rc= 0
** linpack/zsv.f
1linpack tester, zsv**
 this version dated 08/14/78.

1case  1

 bidiagonal matrix with zero at end

 statistics

         u*sigma*vh ..................  4.00e+00
         uhu .........................  3.00e+00
         vhv .........................  4.00e+00

1case  2

 bidiagonal matrix with zero in middle

 statistics

         u*sigma*vh ..................  2.00e+00
         uhu .........................  3.50e+00
         vhv .........................  2.00e+00

1case  3

 8 x 4 matrix

 statistics

         u*sigma*vh ..................  3.28e+00
         uhu .........................  7.00e+00
         vhv .........................  3.50e+00

1case  4

 4 x 8 matrix

 statistics

         u*sigma*vh ..................  5.69e+00
         uhu .........................  2.02e+00
         vhv .........................  4.00e+00

1case  5

 25 x 25 matrix

 statistics

         u*sigma*vh ..................  1.23e+01
         uhu .........................  1.70e+01
         vhv .........................  1.25e+01

1case  6

 overflow test

 statistics

         u*sigma*vh ..................  4.13e+00
         uhu .........................  3.50e+00
         vhv .........................  2.03e+00

1case  7

 underflow test

 statistics

         u*sigma*vh ..................  9.32e+06
         uhu .........................  7.00e+00
         vhv .........................  4.70e+02

 ***** statistics above error level

1case  8

 zero matrix

 statistics

         u*sigma*vh ..................  0.00e+00
         uhu .........................  0.00e+00
         vhv .........................  0.00e+00

1case  9

 1 x 1 matrix

 statistics

         u*sigma*vh ..................  0.00e+00
         uhu .........................  0.00e+00
         vhv .........................  0.00e+00

1case 10

 2 x 2 matrix

 statistics

         u*sigma*vh ..................  6.67e-01
         uhu .........................  1.00e+00
         vhv .........................  1.00e+00

1case 11

 column vector

 statistics

         u*sigma*vh ..................  2.50e-01
         uhu .........................  5.00e-01
         vhv .........................  0.00e+00

1case 12

 row vector

 statistics

         u*sigma*vh ..................  8.33e-01
         uhu .........................  0.00e+00
         vhv .........................  2.50e-01

1end of singular value test
rc= 0
** linpack/zt.f
1linpack tester, ztr**
 this version dated 08/14/78.

 machine epsilon =  2.22045e-16
 
 kase  1   hilbert-half    
 n =   3
 norm(a)     =  3.00000e+00
 
  1.0000e+00 2.0000e+00 5.0000e-01 1.0000e+00 3.3333e-01 6.6667e-01
  0.0000e+00 0.0000e+00 3.3333e-01 6.6667e-01 2.5000e-01 5.0000e-01
  0.0000e+00 0.0000e+00 0.0000e+00 0.0000e+00 2.0000e-01 4.0000e-01
 
 ml = 0  mu = 2
 upper triangular, job = 1

 null =
  9.474044e-02  0.000000e+00
 -4.639699e-01  0.000000e+00
  4.412897e-01  0.000000e+00
 
 cond        =  7.02029e+00
 actual cond =  1.61250e+01
 det fract   = -7.33333 -1.33333
 det expon   =      -1.       0.

 x =
  1.000000e+00  0.000000e+00
  0.000000e+00  1.000000e+00
 -1.000000e+00  0.000000e+00

 xt =
  1.000000e+00  0.000000e+00
  0.000000e+00  1.000000e+00
 -1.000000e+00  1.110223e-16
 
 error norms =  0.00000e+00  2.22045e-16
 resid norms =  1.66533e-16  0.00000e+00
 norm(a*ai-i)=  0.00000e+00
 
 test ratios.. e = macheps
 
     cond     actual    error    error-t    resid    resid-t   a*ai-i 
   -------   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x  e*cond*x    e*a*x     e*a*x    e*cond 
 
    0.4354    2.2969    0.0000    0.0475    0.0833    0.0000    0.0000
 
 no suspicious ratios
 

 *************

 kase  2   hilbert-half    
 n =   6
 norm(a)     =  3.00000e+00
 ml = 0  mu = 3
 upper triangular, job = 1
 cond        =  1.90226e+01
 actual cond =  5.10926e+01
 det fract   =  1.12554  0.42328
 det expon   =      -2.       0.
 error norms =  8.04912e-16  1.18794e-15
 resid norms =  1.38778e-16  4.16334e-17
 norm(a*ai-i)=  1.77636e-15
 
 test ratios.. e = macheps
 
     cond     actual    error    error-t    resid    resid-t   a*ai-i 
   -------   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x  e*cond*x    e*a*x     e*a*x    e*cond 
 
    0.3723    2.6859    0.0318    0.0469    0.0347    0.0104    0.4206
 
 no suspicious ratios
 

 *************

 kase  3   hilbert-half    
 n =   9
 norm(a)     =  3.00000e+00
 ml = 0  mu = 3
 upper triangular, job = 1
 cond        =  3.86608e+01
 actual cond =  1.04799e+02
 det fract   = -3.47945 -2.08361
 det expon   =      -5.       0.
 error norms =  1.31561e-15  2.78111e-15
 resid norms =  3.05311e-16  8.32667e-17
 norm(a*ai-i)=  5.45397e-15
 
 test ratios.. e = macheps
 
     cond     actual    error    error-t    resid    resid-t   a*ai-i 
   -------   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x  e*cond*x    e*a*x     e*a*x    e*cond 
 
    0.3689    2.7107    0.0170    0.0360    0.0509    0.0139    0.6353
 
 no suspicious ratios
 

 *************

 kase  4   monoelemental   
 n =   1
 norm(a)     =  4.00000e+00
 
  3.0000e+00 1.0000e+00
 
 ml = 0  mu = 0
 upper triangular, job = 1

 null =
  1.000000e+00 -3.330669e-17
 
 cond        =  1.00000e+00
 actual cond =  1.60000e+00
 det fract   =  3.00000  1.00000
 det expon   =       0.       0.

 x =
  1.000000e+00  0.000000e+00

 xt =
  1.000000e+00  0.000000e+00
 
 error norms =  0.00000e+00  0.00000e+00
 resid norms =  0.00000e+00  0.00000e+00
 norm(a*ai-i)=  1.11022e-16
 
 test ratios.. e = macheps
 
     cond     actual    error    error-t    resid    resid-t   a*ai-i 
   -------   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x  e*cond*x    e*a*x     e*a*x    e*cond 
 
    0.6250    1.6000    0.0000    0.0000    0.0000    0.0000    0.5000
 
 no suspicious ratios
 

 *************

 kase  5   monoelemental   
 n =   1
 norm(a)     =  0.00000e+00
 
  0.0000e+00 0.0000e+00
 
 ml = 0  mu = 0
 upper triangular, job = 1

 null =
  1.000000e+00  0.000000e+00
 
 1/cond      =  0.00000e+00

 exact singularity.


 *************

 kase  6   bidiagonal      
 n =  15
 norm(a)     =  4.00000e+00
 ml = 0  mu = 0
 upper triangular, job = 1
 cond        =  1.00000e+00
 actual cond =  1.00000e+00
 det fract   =  1.07374  0.00000
 det expon   =       9.       0.
 error norms =  0.00000e+00  0.00000e+00
 resid norms =  0.00000e+00  0.00000e+00
 norm(a*ai-i)=  0.00000e+00
 
 test ratios.. e = macheps
 
     cond     actual    error    error-t    resid    resid-t   a*ai-i 
   -------   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x  e*cond*x    e*a*x     e*a*x    e*cond 
 
    1.0000    1.0000    0.0000    0.0000    0.0000    0.0000    0.0000
 
 no suspicious ratios
 

 *************

 kase  7   bidiagonal      
 n =  15
 norm(a)     =  2.04000e+02
 ml = 0  mu = 1
 upper triangular, job = 1
 cond        =  2.43382e+23

 maybe singular.

 actual cond =  2.53117e+23
 det fract   =  1.07374  0.00000
 det expon   =       9.       0.
 error norms =  0.00000e+00  0.00000e+00
 resid norms =  0.00000e+00  0.00000e+00
 norm(a*ai-i)=  0.00000e+00
 
 test ratios.. e = macheps
 
     cond     actual    error    error-t    resid    resid-t   a*ai-i 
   -------   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x  e*cond*x    e*a*x     e*a*x    e*cond 
 
    0.9615    1.0400    0.0000    0.0000    0.0000    0.0000    0.0000
 
 no suspicious ratios
 

 *************

 kase  8   bidiagonal      
 n =  15
 norm(a)     =  2.04000e+02
 ml = 1  mu = 0
 lower triangular, job = 0
 cond        =  2.43382e+23

 maybe singular.

 actual cond =  2.53117e+23
 det fract   =  1.07374  0.00000
 det expon   =       9.       0.
 error norms =  0.00000e+00  0.00000e+00
 resid norms =  0.00000e+00  0.00000e+00
 norm(a*ai-i)=  0.00000e+00
 
 test ratios.. e = macheps
 
     cond     actual    error    error-t    resid    resid-t   a*ai-i 
   -------   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x  e*cond*x    e*a*x     e*a*x    e*cond 
 
    0.9615    1.0400    0.0000    0.0000    0.0000    0.0000    0.0000
 
 no suspicious ratios
 

 *************

 kase  9   half of rank one
 n =   5
 norm(a)     =  1.11110e+04
 ml = 4  mu = 0
 lower triangular, job = 0
 cond        =  1.19752e+05
 actual cond =  1.22221e+05
 det fract   =  1.00000  0.00000
 det expon   =       0.       0.
 error norms =  0.00000e+00  0.00000e+00
 resid norms =  0.00000e+00  0.00000e+00
 norm(a*ai-i)=  0.00000e+00
 
 test ratios.. e = macheps
 
     cond     actual    error    error-t    resid    resid-t   a*ai-i 
   -------   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x  e*cond*x    e*a*x     e*a*x    e*cond 
 
    0.9798    1.0206    0.0000    0.0000    0.0000    0.0000    0.0000
 
 no suspicious ratios
 

 *************

 kase 10   zero column     
 n =   4
 norm(a)     =  4.16667e+00
 ml = 3  mu = 0
 lower triangular, job = 0
 1/cond      =  0.00000e+00

 exact singularity.


 *************

 kase 11   test cond       
 n =   5
 norm(a)     =  5.00000e+00
 ml = 0  mu = 4
 upper triangular, job = 1
 cond        =  5.50000e+01
 actual cond =  8.00000e+01
 det fract   =  1.00000  0.00000
 det expon   =       0.       0.
 error norms =  0.00000e+00  0.00000e+00
 resid norms =  0.00000e+00  0.00000e+00
 norm(a*ai-i)=  0.00000e+00
 
 test ratios.. e = macheps
 
     cond     actual    error    error-t    resid    resid-t   a*ai-i 
   -------   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x  e*cond*x    e*a*x     e*a*x    e*cond 
 
    0.6875    1.4545    0.0000    0.0000    0.0000    0.0000    0.0000
 
 no suspicious ratios
 

 *************

 kase 12   identity        
 n =   3
 norm(a)     =  1.00000e+00
 
  1.0000e+00 0.0000e+00 0.0000e+00 0.0000e+00 0.0000e+00 0.0000e+00
  0.0000e+00 0.0000e+00 1.0000e+00 0.0000e+00 0.0000e+00 0.0000e+00
  0.0000e+00 0.0000e+00 0.0000e+00 0.0000e+00 1.0000e+00 0.0000e+00
 
 ml = 0  mu = 0
 upper triangular, job = 1

 null =
  3.333333e-01  0.000000e+00
  3.333333e-01  0.000000e+00
  3.333333e-01  0.000000e+00
 
 cond        =  1.00000e+00
 actual cond =  1.00000e+00
 det fract   =  1.00000  0.00000
 det expon   =       0.       0.

 x =
  1.000000e+00  0.000000e+00
  0.000000e+00  1.000000e+00
 -1.000000e+00  0.000000e+00

 xt =
  1.000000e+00  0.000000e+00
  0.000000e+00  1.000000e+00
 -1.000000e+00  0.000000e+00
 
 error norms =  0.00000e+00  0.00000e+00
 resid norms =  0.00000e+00  0.00000e+00
 norm(a*ai-i)=  0.00000e+00
 
 test ratios.. e = macheps
 
     cond     actual    error    error-t    resid    resid-t   a*ai-i 
   -------   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x  e*cond*x    e*a*x     e*a*x    e*cond 
 
    1.0000    1.0000    0.0000    0.0000    0.0000    0.0000    0.0000
 
 no suspicious ratios
 

 *************

 kase 13   upper triangular
 n =   6
 norm(a)     =  4.20000e+01
 ml = 0  mu = 5
 upper triangular, job = 1
 cond        =  7.77000e+01
 actual cond =  1.68000e+02
 det fract   =  0.00000 -8.00000
 det expon   =       0.       0.
 error norms =  0.00000e+00  0.00000e+00
 resid norms =  0.00000e+00  0.00000e+00
 norm(a*ai-i)=  0.00000e+00
 
 test ratios.. e = macheps
 
     cond     actual    error    error-t    resid    resid-t   a*ai-i 
   -------   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x  e*cond*x    e*a*x     e*a*x    e*cond 
 
    0.4625    2.1622    0.0000    0.0000    0.0000    0.0000    0.0000
 
 no suspicious ratios
 

 *************

 kase 14   lower triangular
 n =   6
 norm(a)     =  4.20000e+01
 ml = 5  mu = 0
 lower triangular, job = 0
 cond        =  7.77000e+01
 actual cond =  1.68000e+02
 det fract   =  0.00000  8.00000
 det expon   =       0.       0.
 error norms =  0.00000e+00  0.00000e+00
 resid norms =  0.00000e+00  0.00000e+00
 norm(a*ai-i)=  0.00000e+00
 
 test ratios.. e = macheps
 
     cond     actual    error    error-t    resid    resid-t   a*ai-i 
   -------   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x  e*cond*x    e*a*x     e*a*x    e*cond 
 
    0.4625    2.1622    0.0000    0.0000    0.0000    0.0000    0.0000
 
 no suspicious ratios
 

 *************

 kase 15   near underflow  
 n =   5
 tiny        = 8.90030e-308
 norm(a)     = 1.46113e-306
 ml = 0  mu = 4
 upper triangular, job = 1
 cond        =  2.33406e+01
 actual cond =  4.10417e+01
 det fract   = -2.23399 -2.23399
 det expon   =   -1535.       0.
 error norms =  8.88178e-16  0.00000e+00
 resid norms =  0.00000e+00  0.00000e+00
 norm(a*ai-i)=  1.11022e-15
 
 test ratios.. e = macheps
 
     cond     actual    error    error-t    resid    resid-t   a*ai-i 
   -------   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x  e*cond*x    e*a*x     e*a*x    e*cond 
 
    0.5687    1.7584    0.0343    0.0000    0.0121    0.0000    0.2142
 
 no suspicious ratios
 

 *************

 kase 16   near overflow   
 n =   5
 huge        =    1.12356e+307
 norm(a)     = 2.88380e+307
 ml = 4  mu = 0
 lower triangular, job = 0
 cond        =  4.10122e+00
 actual cond =  4.62000e+00
 det fract   =  1.79051  0.00000
 det expon   =    1535.       0.
 error norms =  0.00000e+00  0.00000e+00
 resid norms =  0.00000e+00  0.00000e+00
 norm(a*ai-i)=  0.00000e+00
 
 test ratios.. e = macheps
 
     cond     actual    error    error-t    resid    resid-t   a*ai-i 
   -------   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x  e*cond*x    e*a*x     e*a*x    e*cond 
 
    0.8877    1.1265    0.0000    0.0000    0.0000    0.0000    0.0000
 
 no suspicious ratios
 

 *************

1summary
 number of tests =  16
 number of singular matrices =   2
 number of suspicious ratios =   0   0   0   0   0   0   0

 end of test
rc= 0
** linpack/zud.f
1    case = 1     n =20     p =10










    step one   updating x






     statistics

      rh*r    ............................  6.47e+00





     step two   updating xrow, yrow and z






     statistics step two

        rh*r   ................  8.58e-01
        rh*z(1)   .............  8.71e-01
        rh*z(2)   .............  1.74e+00
        rho(1)   ..............  0.00e+00
        rho(2)   ..............  0.00e+00





     step three    downdating xrow,yrow and z,






     statstics step three

        r   .....................  1.63e+00
        z(1)   ..................  4.15e+00
        z(2)   ..................  9.05e+00
        rho(1)   ................  0.00e+00
        rho(2)   ................  5.60e+01
1    case = 2     n =10     p = 4










    step one   updating x






     statistics

      rh*r    ............................  4.80e+00





     step two   updating xrow, yrow and z






     statistics step two

        rh*r   ................  5.41e-01
        rh*z(1)   .............  5.97e-01
        rh*z(2)   .............  7.96e-01
        rho(1)   ..............  0.00e+00
        rho(2)   ..............  0.00e+00





     step three    downdating xrow,yrow and z,






     statstics step three

        r   .....................  1.39e+00
        z(1)   ..................  1.02e+00
        z(2)   ..................  3.58e+00
        rho(1)   ................  0.00e+00
        rho(2)   ................  9.00e+00
1    case = 3     n =10     p = 1










    step one   updating x






     statistics

      rh*r    ............................  2.00e+00





     step two   updating xrow, yrow and z






     statistics step two

        rh*r   ................  0.00e+00
        rh*z(1)   .............  1.00e+00
        rh*z(2)   .............  0.00e+00
        rho(1)   ..............  0.00e+00
        rho(2)   ..............  5.77e-01





     step three    downdating xrow,yrow and z,






     statstics step three

        r   .....................  5.00e-01
        z(1)   ..................  1.00e+00
        z(2)   ..................  0.00e+00
        rho(1)   ................  0.00e+00
        rho(2)   ................  1.00e+00
1    case = 4     n =10     p = 4





         overflow test










    step one   updating x






     statistics

      rh*r    ............................  4.80e+00





     step two   updating xrow, yrow and z






     statistics step two

        rh*r   ................  5.41e-01
        rh*z(1)   .............  5.97e-01
        rh*z(2)   .............  7.96e-01
        rho(1)   ..............  0.00e+00
        rho(2)   ..............  0.00e+00





     step three    downdating xrow,yrow and z,






     statstics step three

        r   .....................  1.39e+00
        z(1)   ..................  1.02e+00
        z(2)   ..................  3.58e+00
        rho(1)   ................  0.00e+00
        rho(2)   ................  9.00e+00
1    case = 5     n =10     p = 4





          underflow test










    step one   updating x






     statistics

      rh*r    ............................  1.61e+00





     step two   updating xrow, yrow and z






     statistics step two

        rh*r   ................  1.08e+00
        rh*z(1)   .............  1.59e+00
        rh*z(2)   .............  1.59e+00
        rho(1)   ..............  0.00e+00
        rho(2)   ..............  0.00e+00





     step three    downdating xrow,yrow and z,






     statstics step three

        r   .....................  1.58e+00
        z(1)   ..................  1.02e+00
        z(2)   ..................  1.43e+00
        rho(1)   ................  0.00e+00
        rho(2)   ................  1.00e+00
rc= 0
** minpack/minpack-test.f
 
minpack_test():
  FORTRAN77 version
  Test minpack().
 
TEST01
  CHKDER compares a user supplied jacobian
  and a finite difference approximation to it
  and judges whether the jacobian is correct.
 
  On test 1, use a correct jacobian.

  Evaluation point X:

         1    5.00000000e-01
         2    5.00000000e-01
         3    5.00000000e-01
         4    5.00000000e-01
         5    5.00000000e-01
 
  Sampled function values F(X) and F(XP)
 
  1 -3.000000e+00 -3.000000e+00
  2 -3.000000e+00 -3.000000e+00
  3 -3.000000e+00 -3.000000e+00
  4 -3.000000e+00 -3.000000e+00
  5 -9.687500e-01 -9.687500e-01
 
  Computed jacobian
 
  2.000000e+00  1.000000e+00  1.000000e+00  1.000000e+00  1.000000e+00
  1.000000e+00  2.000000e+00  1.000000e+00  1.000000e+00  1.000000e+00
  1.000000e+00  1.000000e+00  2.000000e+00  1.000000e+00  1.000000e+00
  1.000000e+00  1.000000e+00  1.000000e+00  2.000000e+00  1.000000e+00
  6.250000e-02  6.250000e-02  6.250000e-02  6.250000e-02  6.250000e-02
 
  CHKDER gradient error estimates:
     > 0.5, probably correct.
     < 0.5, probably incorrect.
 
     1  1.000000e+00
     2  1.000000e+00
     3  1.000000e+00
     4  1.000000e+00
     5  1.000000e+00
 
  On test 2, use a "bad" jacobian
  and see if the routine notices!

  Evaluation point X:

         1    5.00000000e-01
         2    5.00000000e-01
         3    5.00000000e-01
         4    5.00000000e-01
         5    5.00000000e-01
 
  Sampled function values F(X) and F(XP)
 
  1 -3.000000e+00 -3.000000e+00
  2 -3.000000e+00 -3.000000e+00
  3 -3.000000e+00 -3.000000e+00
  4 -3.000000e+00 -3.000000e+00
  5 -9.687500e-01 -9.687500e-01
 
  Computed jacobian
 
  2.020000e+00  1.000000e+00  1.000000e+00  1.000000e+00  1.000000e+00
  1.000000e+00  2.000000e+00 -1.000000e+00  1.000000e+00  1.000000e+00
  1.000000e+00  1.000000e+00  2.000000e+00  1.000000e+00  1.000000e+00
  1.000000e+00  1.000000e+00  1.000000e+00  2.000000e+00  1.000000e+00
  6.250000e-02  6.250000e-02  6.250000e-02  6.250000e-02  6.250000e-02
 
  CHKDER gradient error estimates:
     > 0.5, probably correct.
     < 0.5, probably incorrect.
 
     1  1.000000e+00
     2  1.000000e+00
     3  1.000000e+00
     4  1.000000e+00
     5  1.000000e+00
 
TEST02
  HYBRD1 solves a nonlinear system of equations.

  Initial X:

         1    3.00000000e+00
         2    0.00000000e+00

  F(X):

         1   -1.30000000e+01
         2    1.10000000e+01
 
  Returned value of INFO =      4

  X:

         1    3.00000000e+00
         2    0.00000000e+00

  F(X):

         1   -1.30000000e+01
         2    1.10000000e+01
 
TEST03
  HYBRJ1 solves a nonlinear system of equations.

  Initial X:

         1    3.00000000e+00
         2    0.00000000e+00

  F(X):

         1   -1.30000000e+01
         2    1.10000000e+01
 
  Returned value of INFO =      1

  X:

         1    1.00000000e+00
         2    1.00000000e+00

  F(X):

         1   -8.84240947e-09
         2   -7.85327892e-09
 
TEST04
  LMDER1 minimizes M functions in N variables.

  Initial X:

         1    0.00000000e+00
         2    5.00000000e+00

  F(X):

         1    3.00000000e+00
         2   -6.00000000e+00
         3   -2.30000000e+01
         4   -3.50000000e+01
 
  Returned value of INFO =      3

  X:

         1    6.55000000e+00
         2   -1.25000000e+01

  F(X):

         1   -1.40000000e+00
         2    2.70000000e+00
         3   -1.20000000e+00
         4   -1.00000000e-01
 
TEST05
  LMDER1 minimizes M functions in N variables.

  Initial X:

         1    0.00000000e+00
         2    5.00000000e+00
         3    1.30000000e+00

  F(X):

         1    1.00000000e+00
         2   -6.88555867e-01
         3   -7.14416245e+00
         4   -1.86856687e+01
         5   -3.54835851e+01
         6   -5.76469042e+01
         7   -8.52523513e+01
         8   -1.18357361e+02
         9   -1.57006808e+02
        10   -2.01236884e+02
 
  Returned value of INFO =      2

  X:

         1    1.00000000e+00
         2    3.00000000e+00
         3    2.00000000e+00

  F(X):

         1    1.32338585e-13
         2    3.37507799e-14
         3    2.38031816e-13
         4    8.59756710e-13
         5    1.98951966e-12
         6    3.69482223e-12
         7    6.08224582e-12
         8    9.03810360e-12
         9    1.28181910e-11
        10    1.72803993e-11
 
TEST06
  LMDIF1 minimizes M functions in N variables.

  Initial X:

         1    0.00000000e+00
         2    5.00000000e+00

  F(X):

         1    3.00000000e+00
         2   -6.00000000e+00
         3   -2.30000000e+01
         4   -3.50000000e+01
 
  Returned value of INFO =      5

  X:

         1  -2.69653970e+308
         2  -2.69653970e+308

  F(X):

         1  -2.69653970e+308
         2  -2.69653970e+308
         3  -2.69653970e+308
         4  -2.69653970e+308
 
TEST07
  LMDIF1 minimizes M functions in N variables.

  Initial X:

         1    0.00000000e+00
         2    5.00000000e+00
         3    1.30000000e+00

  F(X):

         1    1.00000000e+00
         2   -6.88555867e-01
         3   -7.14416245e+00
         4   -1.86856687e+01
         5   -3.54835851e+01
         6   -5.76469042e+01
         7   -8.52523513e+01
         8   -1.18357361e+02
         9   -1.57006808e+02
        10   -2.01236884e+02
 
  Returned value of INFO =      5

  X:

         1  -2.69653970e+308
         2  -2.69653970e+308
         3  -2.69653970e+308

  F(X):

         1  -2.69653970e+308
         2  -2.69653970e+308
         3  -2.69653970e+308
         4  -2.69653970e+308
         5  -2.69653970e+308
         6  -2.69653970e+308
         7  -2.69653970e+308
         8  -2.69653970e+308
         9  -2.69653970e+308
        10  -2.69653970e+308
 
TEST08
  LMSTR1 minimizes M functions in N variables.

  Initial X:

         1    0.00000000e+00
         2    5.00000000e+00

  F(X):

         1    3.00000000e+00
         2   -6.00000000e+00
         3   -2.30000000e+01
         4   -3.50000000e+01
 
  Returned value of INFO =      2

  X:

         1    6.55000000e+00
         2   -1.25000000e+01

  F(X):

         1   -1.40000000e+00
         2    2.70000000e+00
         3   -1.20000000e+00
         4   -1.00000000e-01
 
TEST09
  LMSTR1 minimizes M functions in N variables.

  Initial X:

         1    0.00000000e+00
         2    5.00000000e+00
         3    1.30000000e+00

  F(X):

         1    1.00000000e+00
         2   -6.88555867e-01
         3   -7.14416245e+00
         4   -1.86856687e+01
         5   -3.54835851e+01
         6   -5.76469042e+01
         7   -8.52523513e+01
         8   -1.18357361e+02
         9   -1.57006808e+02
        10   -2.01236884e+02
 
  Returned value of INFO =      2

  X:

         1    1.00000000e+00
         2    3.00000000e+00
         3    2.00000000e+00

  F(X):

         1    1.33226763e-13
         2    3.37507799e-14
         3    2.41584530e-13
         4    8.59756710e-13
         5    1.98951966e-12
         6    3.69482223e-12
         7    6.08224582e-12
         8    9.03810360e-12
         9    1.28181910e-11
        10    1.72803993e-11
 
minpack_test():
  Normal end of execution.
 
rc= 0
** odepack/dlsoda.f

demonstration program for dlsoda package



 problem 1:   van der pol oscillator:
              xdotdot - 20*(1 - x**2)*xdot + x = 0,    x(0) = 2, xdot(0) = 0
 neq = 2
 itol =  1   rtol =   0.0e+00   atol =   1.0e-08




 solution with jt =  1

  t               x               xdot       meth   nq     h           tsw


 8.46087e+00     1.67315e+00    -4.642e-02     2     4    2.085e-01    3.111e-01
 1.69217e+01    -1.15743e-04    -1.408e+01     1     7    2.058e-03    1.582e+01
 2.55923e+01    -1.68282e+00     4.586e-02     2     4    2.395e-01    1.741e+01
 3.42629e+01     2.14481e-04     1.408e+01     1     8    2.927e-03    3.319e+01


 final statistics for this run:
 rwork size =  52   iwork size =  22
 number of steps =  695
 number of f-s   = 1305
 (excluding j-s) = 1305
 number of j-s   =   30
 max. error at root =  2.14e-04


 solution with jt =  2

  t               x               xdot       meth   nq     h           tsw


 8.46087e+00     1.67315e+00    -4.642e-02     2     4    2.085e-01    3.111e-01
 1.69217e+01    -1.15743e-04    -1.408e+01     1     7    2.058e-03    1.582e+01
 2.55923e+01    -1.68282e+00     4.586e-02     2     4    2.396e-01    1.741e+01
 3.42629e+01     2.14476e-04     1.408e+01     1     8    2.927e-03    3.319e+01


 final statistics for this run:
 rwork size =  52   iwork size =  22
 number of steps =  695
 number of f-s   = 1365
 (excluding j-s) = 1305
 number of j-s   =   30
 max. error at root =  2.14e-04



--------------------------------------------------------------------------------


 problem 2: ydot = a * y , where  a is a banded lower triangular matrix
            derived from 2-d advection pde
 neq = 25   ml = 5   mu = 0
 itol =  1   rtol =   0.0e+00   atol =   1.0e-06




 solution with jt =  4

     t             max.err.     meth   nq      h            tsw


    1.00000e-02     4.765e-07     1     2     7.136e-03     0.000e+00
    1.00000e-01     9.881e-07     1     4     3.432e-02     0.000e+00
    1.00000e+00     4.312e-07     1     5     7.239e-02     0.000e+00
    1.00000e+01     5.581e-08     1     3     3.233e-01     0.000e+00
    1.00000e+02     1.266e-12     2     1     2.392e+02     1.697e+01


 final statistics for this run:
 rwork size = 522   iwork size =  45
 number of steps =  105
 number of f-s   =  207
 (excluding j-s) =  207
 number of j-s   =    3
 error overrun =  9.88e-01


 solution with jt =  5

     t             max.err.     meth   nq      h            tsw


    1.00000e-02     4.765e-07     1     2     7.136e-03     0.000e+00
    1.00000e-01     9.881e-07     1     4     3.432e-02     0.000e+00
    1.00000e+00     4.312e-07     1     5     7.239e-02     0.000e+00
    1.00000e+01     5.581e-08     1     3     3.233e-01     0.000e+00
    1.00000e+02     1.266e-12     2     1     2.392e+02     1.697e+01


 final statistics for this run:
 rwork size = 522   iwork size =  45
 number of steps =  105
 number of f-s   =  225
 (excluding j-s) =  207
 number of j-s   =    3
 error overrun =  9.88e-01



 number of errors encountered =  0
rc= 0
** odepack/dlsodar.f

 demonstration program for dlsodar package



 first problem


 problem is  dy/dt = ((2*log(y)+8)/t - 5)*y,  y(1) = 1

 solution is  y(t) = exp(-t**2 + 5*t - 4)

 root functions are:
           g1 = dy/dt  (root at t = 2.5)
           g2 = log(y) - 2.2491  (roots at t = 2.47 and t = 2.53)

 itol =  1   rtol =   1.0e-06   atol =   1.0e-06

 jt =  2



 at t =  2.0000000e+00     y =  7.3890714e+00     error =  1.5338e-05
 at t =  2.4699713e+00     y =  9.4792007e+00     error =  1.6305e-05

 root found at t =  2.4699713e+00     jroot =    0    1
 error in t location of root is -2.8654e-05

 at t =  2.5000007e+00     y =  9.4877520e+00     error =  1.6130e-05

 root found at t =  2.5000007e+00     jroot =    1    0
 error in t location of root is  6.8002e-07

 at t =  2.5300281e+00     y =  9.4792007e+00     error =  1.6008e-05

 root found at t =  2.5300281e+00     jroot =    0    1
 error in t location of root is  2.8133e-05

 at t =  3.0000000e+00     y =  7.3890828e+00     error =  2.6670e-05
 at t =  4.0000000e+00     y =  1.0000067e+00     error =  6.7034e-06
 at t =  5.0000000e+00     y =  1.8315820e-02     error =  1.8137e-07
 at t =  6.0000000e+00     y =  4.5360039e-05     error = -3.9891e-08


 final statistics for this run:
 rwork size =  42   iwork size =  21
 number of steps =   71
 number of f-s   =  147
 (excluding j-s) =  147
 number of j-s   =    0
 number of g-s   =  108
 error overrun =  3.35e+00




********************************************************************************

 second problem (van der pol oscillator)

 problem is dy1/dt = y2,  dy2/dt = 100*(1-y1**2)*y2 - y1
            y1(0) = 2,  y2(0) = 0

 root function is  g = y1

 itol =  2   rtol =   1.0e-06   atol =   1.0e-06   1.0e-04



 solution with jt = 1


 at t =  2.0000000e+01     y1 =  1.8582275e+00     y2 = -7.5750936e-03
 at t =  4.0000000e+01     y1 =  1.6932296e+00     y2 = -9.0685836e-03
 at t =  6.0000000e+01     y1 =  1.4846082e+00     y2 = -1.2327420e-02
 at t =  8.0000000e+01     y1 =  1.0862909e+00     y2 = -5.8407163e-02
 at t =  8.1165198e+01     y1 = -1.1604474e-10     y2 = -6.7139800e+01

 root found at t =  8.1165198e+01
 error in t location of root is -7.1797e-03


 at t =  1.0000000e+02     y1 = -1.8688615e+00     y2 =  7.4973036e-03
 at t =  1.2000000e+02     y1 = -1.7059266e+00     y2 =  8.9300773e-03
 at t =  1.4000000e+02     y1 = -1.5017401e+00     y2 =  1.1961633e-02
 at t =  1.6000000e+02     y1 = -1.1487997e+00     y2 =  3.5683993e-02
 at t =  1.6257606e+02     y1 =  3.0747210e-11     y2 =  6.7139718e+01

 root found at t =  1.6257606e+02
 error in t location of root is -1.4850e-02


 at t =  1.8000000e+02     y1 =  1.8793843e+00     y2 = -7.4220670e-03
 at t =  2.0000000e+02     y1 =  1.7184306e+00     y2 = -8.7982012e-03


 final statistics for this run:
  rwork size =  55   iwork size =  22
  number of steps =  478
  number of f-s   =  931
  (excluding j-s) =  931
  number of j-s   =   42
  number of g-s   =  511



 solution with jt = 2


 at t =  2.0000000e+01     y1 =  1.8582275e+00     y2 = -7.5750936e-03
 at t =  4.0000000e+01     y1 =  1.6932296e+00     y2 = -9.0685836e-03
 at t =  6.0000000e+01     y1 =  1.4846082e+00     y2 = -1.2327420e-02
 at t =  8.0000000e+01     y1 =  1.0862909e+00     y2 = -5.8407163e-02
 at t =  8.1165198e+01     y1 = -4.3361148e-13     y2 = -6.7139800e+01

 root found at t =  8.1165198e+01
 error in t location of root is -7.1797e-03


 at t =  1.0000000e+02     y1 = -1.8688615e+00     y2 =  7.4973036e-03
 at t =  1.2000000e+02     y1 = -1.7059266e+00     y2 =  8.9300773e-03
 at t =  1.4000000e+02     y1 = -1.5017401e+00     y2 =  1.1961633e-02
 at t =  1.6000000e+02     y1 = -1.1487997e+00     y2 =  3.5683993e-02
 at t =  1.6257606e+02     y1 =  3.0826362e-11     y2 =  6.7139718e+01

 root found at t =  1.6257606e+02
 error in t location of root is -1.4850e-02


 at t =  1.8000000e+02     y1 =  1.8793843e+00     y2 = -7.4220670e-03
 at t =  2.0000000e+02     y1 =  1.7184306e+00     y2 = -8.7982012e-03


 final statistics for this run:
  rwork size =  55   iwork size =  22
  number of steps =  478
  number of f-s   = 1015
  (excluding j-s) =  931
  number of j-s   =   42
  number of g-s   =  506



 total number of errors encountered =  0
rc= 0
** odepack/dlsode.f

 demonstration program for dlsode package


 problem 1:  van der pol oscillator:
  xdotdot - 3*(1 - x**2)*xdot + x = 0,    x(0) = 2, xdot(0) = 0
 neq = 2
 itol =  1   rtol =   0.0e+00   atol =   1.0e-06





 solution with mf = 10

     t               x               xdot       nq      h


    1.39284e+00     1.68010e+00    -2.911e-01    3     1.229e-01
    3.60761e+00    -7.79864e-05    -3.169e+00    5     2.171e-02
    5.82239e+00    -1.68009e+00     2.911e-01    3     4.753e-02
    8.03716e+00     1.16694e-04     3.169e+00    5     2.342e-02


 final statistics for this run:
 rwork size =  52   iwork size =  20
 number of steps =  297
 number of f-s   =  352
 (excluding j-s) =  352
 number of j-s   =    0
 error overrun =  1.17e+02



 solution with mf = 11

     t               x               xdot       nq      h


    1.39284e+00     1.68010e+00    -2.911e-01    5     1.205e-01
    3.60761e+00    -1.77321e-05    -3.169e+00    5     1.872e-02
    5.82239e+00    -1.68010e+00     2.911e-01    6     9.633e-02
    8.03716e+00     2.58940e-05     3.169e+00    5     1.899e-02


 final statistics for this run:
 rwork size =  58   iwork size =  22
 number of steps =  203
 number of f-s   =  281
 (excluding j-s) =  281
 number of j-s   =   29
 error overrun =  2.59e+01



 solution with mf = 12

     t               x               xdot       nq      h


    1.39284e+00     1.68010e+00    -2.911e-01    5     1.205e-01
    3.60761e+00    -1.77321e-05    -3.169e+00    5     1.872e-02
    5.82239e+00    -1.68010e+00     2.911e-01    6     9.633e-02
    8.03716e+00     2.58939e-05     3.169e+00    5     1.899e-02


 final statistics for this run:
 rwork size =  58   iwork size =  22
 number of steps =  203
 number of f-s   =  339
 (excluding j-s) =  281
 number of j-s   =   29
 error overrun =  2.59e+01



 solution with mf = 13

     t               x               xdot       nq      h


    1.39284e+00     1.68010e+00    -2.911e-01    5     7.386e-02
    3.60761e+00     3.44007e-05    -3.169e+00    6     2.605e-02
    5.82239e+00    -1.68011e+00     2.911e-01    4     1.328e-01
    8.03716e+00    -5.91814e-05     3.169e+00    5     2.045e-02


 final statistics for this run:
 rwork size =  56   iwork size =  20
 number of steps =  198
 number of f-s   =  315
 (excluding j-s) =  289
 number of j-s   =   26
 error overrun =  5.92e+01



 solution with mf = 20

     t               x               xdot       nq      h


    1.39284e+00     1.68010e+00    -2.911e-01    5     5.490e-02
    3.60761e+00    -5.65788e-05    -3.169e+00    5     1.429e-02
    5.82239e+00    -1.68010e+00     2.911e-01    4     5.829e-02
    8.03716e+00     1.03869e-04     3.169e+00    5     1.488e-02


 final statistics for this run:
 rwork size =  38   iwork size =  20
 number of steps =  289
 number of f-s   =  321
 (excluding j-s) =  321
 number of j-s   =    0
 error overrun =  1.04e+02



 solution with mf = 21

     t               x               xdot       nq      h


    1.39284e+00     1.68010e+00    -2.911e-01    5     6.762e-02
    3.60761e+00    -4.89765e-05    -3.169e+00    5     1.413e-02
    5.82239e+00    -1.68010e+00     2.911e-01    5     1.256e-01
    8.03716e+00     9.68674e-05     3.169e+00    5     1.420e-02


 final statistics for this run:
 rwork size =  44   iwork size =  22
 number of steps =  262
 number of f-s   =  345
 (excluding j-s) =  345
 number of j-s   =   30
 error overrun =  9.69e+01



 solution with mf = 22

     t               x               xdot       nq      h


    1.39284e+00     1.68010e+00    -2.911e-01    5     6.762e-02
    3.60761e+00    -4.89765e-05    -3.169e+00    5     1.413e-02
    5.82239e+00    -1.68010e+00     2.911e-01    5     1.256e-01
    8.03716e+00     9.68674e-05     3.169e+00    5     1.420e-02


 final statistics for this run:
 rwork size =  44   iwork size =  22
 number of steps =  262
 number of f-s   =  405
 (excluding j-s) =  345
 number of j-s   =   30
 error overrun =  9.69e+01



 solution with mf = 23

     t               x               xdot       nq      h


    1.39284e+00     1.68010e+00    -2.911e-01    5     7.089e-02
    3.60761e+00    -4.67048e-05    -3.169e+00    5     1.390e-02
    5.82239e+00    -1.68010e+00     2.911e-01    3     7.192e-02
    8.03716e+00     5.47001e-05     3.169e+00    5     1.538e-02


 final statistics for this run:
 rwork size =  42   iwork size =  20
 number of steps =  271
 number of f-s   =  414
 (excluding j-s) =  383
 number of j-s   =   31
 error overrun =  5.47e+01



----------------------------------------------------------------------


 problem 2: ydot = a * y , where  a is a banded lower triangular matrix
            derived from 2-d advection pde
 neq = 25   ml = 5   mu = 0
 itol =  1   rtol =   0.0e+00   atol =   1.0e-06





 solution with mf = 10

     t             max.err.     nq      h


    1.00000e-02     5.563e-07    2     7.660e-03
    1.00000e-01     6.550e-06    3     2.494e-02
    1.00000e+00     2.744e-06    4     5.198e-02
    1.00000e+01     1.143e-06    3     1.169e-01
    1.00000e+02     2.215e-06    2     2.615e-01


 final statistics for this run:
 rwork size = 420   iwork size =  20
 number of steps =  524
 number of f-s   =  552
 (excluding j-s) =  552
 number of j-s   =    0
 error overrun =  6.55e+00



 solution with mf = 13

     t             max.err.     nq      h


    1.00000e-02     8.390e-07    2     9.493e-03
    1.00000e-01     2.075e-06    3     2.497e-02
    1.00000e+00     1.268e-04    3     1.677e-02
    1.00000e+01     2.040e-06    3     1.012e-01
    1.00000e+02     6.659e-10    1     6.053e+01


 final statistics for this run:
 rwork size = 447   iwork size =  20
 number of steps =  133
 number of f-s   =  247
 (excluding j-s) =  210
 number of j-s   =   37
 error overrun =  1.27e+02



 solution with mf = 14

     t             max.err.     nq      h


    1.00000e-02     8.772e-07    2     9.648e-03
    1.00000e-01     2.064e-06    3     2.497e-02
    1.00000e+00     1.263e-06    5     9.348e-02
    1.00000e+01     3.108e-07    6     4.423e-01
    1.00000e+02     1.594e-08    2     2.909e+01


 final statistics for this run:
 rwork size = 697   iwork size =  45
 number of steps =   92
 number of f-s   =  113
 (excluding j-s) =  113
 number of j-s   =   18
 error overrun =  2.06e+00



 solution with mf = 15

     t             max.err.     nq      h


    1.00000e-02     8.771e-07    2     9.648e-03
    1.00000e-01     2.064e-06    3     2.497e-02
    1.00000e+00     1.263e-06    5     9.348e-02
    1.00000e+01     3.108e-07    6     4.423e-01
    1.00000e+02     1.596e-08    2     2.909e+01


 final statistics for this run:
 rwork size = 697   iwork size =  45
 number of steps =   92
 number of f-s   =  221
 (excluding j-s) =  113
 number of j-s   =   18
 error overrun =  2.06e+00



 solution with mf = 20

     t             max.err.     nq      h


    1.00000e-02     4.648e-07    2     4.827e-03
    1.00000e-01     1.307e-06    3     1.477e-02
    1.00000e+00     4.267e-06    5     6.347e-02
    1.00000e+01     1.921e-06    4     3.514e-01
    1.00000e+02     1.191e-07    1     1.546e-01


 final statistics for this run:
 rwork size = 245   iwork size =  20
 number of steps =  329
 number of f-s   =  528
 (excluding j-s) =  528
 number of j-s   =    0
 error overrun =  4.27e+00



 solution with mf = 23

     t             max.err.     nq      h


    1.00000e-02     1.006e-06    2     5.983e-03
    1.00000e-01     4.456e-07    3     1.459e-02
    1.00000e+00     1.527e-06    5     7.378e-02
    1.00000e+01     6.266e-07    4     2.960e-01
    1.00000e+02     3.483e-10    1     2.510e+01


 final statistics for this run:
 rwork size = 272   iwork size =  20
 number of steps =  178
 number of f-s   =  308
 (excluding j-s) =  263
 number of j-s   =   45
 error overrun =  1.53e+00



 solution with mf = 24

     t             max.err.     nq      h


    1.00000e-02     1.039e-06    2     6.081e-03
    1.00000e-01     4.632e-07    3     1.459e-02
    1.00000e+00     2.475e-06    5     6.658e-02
    1.00000e+01     8.280e-07    5     3.912e-01
    1.00000e+02     3.843e-10    1     1.084e+02


 final statistics for this run:
 rwork size = 522   iwork size =  45
 number of steps =  118
 number of f-s   =  136
 (excluding j-s) =  136
 number of j-s   =   18
 error overrun =  2.47e+00



 solution with mf = 25

     t             max.err.     nq      h


    1.00000e-02     1.039e-06    2     6.081e-03
    1.00000e-01     4.632e-07    3     1.459e-02
    1.00000e+00     2.475e-06    5     6.658e-02
    1.00000e+01     8.280e-07    5     3.912e-01
    1.00000e+02     3.843e-10    1     1.084e+02


 final statistics for this run:
 rwork size = 522   iwork size =  45
 number of steps =  118
 number of f-s   =  244
 (excluding j-s) =  136
 number of j-s   =   18
 error overrun =  2.47e+00




 number of errors encountered =  0
rc= 0
** odepack/dlsodes.f

demonstration problem for the dlsodes package


 neq =   9     t0 = 0.0     rtol =   0.000e+00     atol =   1.000e-05

 initial y vector =    1.0  2.0  3.0  4.0  5.0  6.0  7.0  8.0  9.0


********************************************************************************


run with mf =  10.     input work lengths lrw, liw =  1000    90

at t =  1.0   nst =  42   hu =   2.410e-02   nqu =  4    max. err. =  3.913e-06
  y array =       6.687298e-01   9.901881e-01   7.603078e-01   8.077987e-01
   1.170230e+00   8.810614e-01   5.013319e-01   7.201421e-01   5.379618e-01
at t =  2.0   nst =  71   hu =   6.802e-02   nqu =  3    max. err. =  2.735e-05
  y array =       1.340468e-01   1.917173e-01   1.374069e-01   1.008022e-01
   1.438077e-01   1.028200e-01   3.846231e-02   5.480328e-02   3.913610e-02
at t =  3.0   nst =  90   hu =   4.553e-02   nqu =  3    max. err. =  1.207e-05
  y array =       1.930081e-02   2.735676e-02   1.940590e-02   1.056626e-02
   1.497960e-02   1.061584e-02   2.918034e-03   4.134890e-03   2.930477e-03

final statistics for this run:
 rwork size = 164   iwork size =  30
 number of steps =   90
 number of f-s   =   98
 (excluding j-s) =   98
 number of j-s   =    0
 error overrun =  2.73e+00


run with mf =  10.     input work lengths lrw, liw =   164    30

at t =  1.0   nst =  42   hu =   2.410e-02   nqu =  4    max. err. =  3.913e-06
  y array =       6.687298e-01   9.901881e-01   7.603078e-01   8.077987e-01
   1.170230e+00   8.810614e-01   5.013319e-01   7.201421e-01   5.379618e-01


********************************************************************************


run with mf =  11.     input work lengths lrw, liw =  1000    90

at t =  1.0   nst =  27   hu =   8.617e-02   nqu =  5    max. err. =  9.885e-06
  y array =       6.687270e-01   9.901904e-01   7.603069e-01   8.077962e-01
   1.170220e+00   8.810604e-01   5.013390e-01   7.201386e-01   5.379743e-01
at t =  2.0   nst =  37   hu =   1.153e-01   nqu =  5    max. err. =  5.932e-06
  y array =       1.340466e-01   1.917129e-01   1.374029e-01   1.007885e-01
   1.437872e-01   1.028031e-01   3.844766e-02   5.478186e-02   3.911991e-02
at t =  3.0   nst =  44   hu =   1.549e-01   nqu =  5    max. err. =  3.858e-06
  y array =       1.929197e-02   2.735519e-02   1.939699e-02   1.056239e-02
   1.497139e-02   1.061198e-02   2.916091e-03   4.132470e-03   2.928570e-03

final statistics for this run:
 rwork size = 308   iwork size =  67
 number of steps =   44
 number of f-s   =   56
 (excluding j-s) =   56
 number of j-s   =    1
 error overrun =  9.88e-01
 number of nonzeros in j =    27
 number of j index groups =    0
 number of lu decomp-s    =    9
 nonzeros in strict lower factor =    8
 nonzeros in strict upper factor =   14

 structure descriptor array ian =
   1   3   6   8  11  15  18  21  25  28

 structure descriptor array jan =
   1   2   3   1   2   3   2   1   5   4   2   6   5   4   3   6   5   7   4   8

 structure descriptor array jan =
   9   7   5   8   9   6   8


run with mf =  11.     input work lengths lrw, liw =   308    67

at t =  1.0   nst =  27   hu =   8.617e-02   nqu =  5    max. err. =  9.885e-06
  y array =       6.687270e-01   9.901904e-01   7.603069e-01   8.077962e-01
   1.170220e+00   8.810604e-01   5.013390e-01   7.201386e-01   5.379743e-01


********************************************************************************


run with mf =  12.     input work lengths lrw, liw =  1000    90

at t =  1.0   nst =  27   hu =   8.617e-02   nqu =  5    max. err. =  9.885e-06
  y array =       6.687270e-01   9.901904e-01   7.603069e-01   8.077962e-01
   1.170220e+00   8.810604e-01   5.013390e-01   7.201386e-01   5.379743e-01
at t =  2.0   nst =  37   hu =   1.153e-01   nqu =  5    max. err. =  5.932e-06
  y array =       1.340466e-01   1.917129e-01   1.374029e-01   1.007885e-01
   1.437872e-01   1.028031e-01   3.844766e-02   5.478186e-02   3.911991e-02
at t =  3.0   nst =  44   hu =   1.549e-01   nqu =  5    max. err. =  3.858e-06
  y array =       1.929197e-02   2.735519e-02   1.939699e-02   1.056239e-02
   1.497139e-02   1.061198e-02   2.916091e-03   4.132470e-03   2.928570e-03

final statistics for this run:
 rwork size = 315   iwork size =  67
 number of steps =   44
 number of f-s   =   60
 (excluding j-s) =   56
 number of j-s   =    1
 error overrun =  9.88e-01
 number of nonzeros in j =    27
 number of j index groups =    4
 number of lu decomp-s    =    9
 nonzeros in strict lower factor =    8
 nonzeros in strict upper factor =   14

 structure descriptor array ian =
   1   3   6   8  11  15  18  21  25  28

 structure descriptor array jan =
   1   2   3   1   2   3   2   1   5   4   2   6   5   4   3   6   5   7   4   8

 structure descriptor array jan =
   9   7   5   8   9   6   8


run with mf =  12.     input work lengths lrw, liw =   315    67

at t =  1.0   nst =  27   hu =   8.617e-02   nqu =  5    max. err. =  9.885e-06
  y array =       6.687270e-01   9.901904e-01   7.603069e-01   8.077962e-01
   1.170220e+00   8.810604e-01   5.013390e-01   7.201386e-01   5.379743e-01


********************************************************************************


run with mf =  13.     input work lengths lrw, liw =  1000    90

at t =  1.0   nst =  28   hu =   8.251e-02   nqu =  5    max. err. =  5.911e-06
  y array =       6.687292e-01   9.901925e-01   7.603039e-01   8.077970e-01
   1.170222e+00   8.810605e-01   5.013339e-01   7.201356e-01   5.379703e-01
at t =  2.0   nst =  41   hu =   8.251e-02   nqu =  5    max. err. =  4.679e-06
  y array =       1.340480e-01   1.917135e-01   1.374045e-01   1.007835e-01
   1.437822e-01   1.027977e-01   3.844668e-02   5.477525e-02   3.911287e-02
at t =  3.0   nst =  58   hu =   5.361e-02   nqu =  4    max. err. =  8.007e-05
  y array =       1.930205e-02   2.735727e-02   1.947618e-02   1.056173e-02
   1.496692e-02   1.065667e-02   2.913023e-03   4.128180e-03   2.925284e-03

final statistics for this run:
 rwork size = 175   iwork size =  30
 number of steps =   58
 number of f-s   =   90
 (excluding j-s) =   80
 number of j-s   =   10
 error overrun =  8.01e+00


run with mf =  13.     input work lengths lrw, liw =   175    30

at t =  1.0   nst =  28   hu =   8.251e-02   nqu =  5    max. err. =  5.911e-06
  y array =       6.687292e-01   9.901925e-01   7.603039e-01   8.077970e-01
   1.170222e+00   8.810605e-01   5.013339e-01   7.201356e-01   5.379703e-01


********************************************************************************


run with mf =  20.     input work lengths lrw, liw =  1000    90

at t =  1.0   nst =  39   hu =   5.488e-02   nqu =  5    max. err. =  3.780e-05
  y array =       6.687263e-01   9.901935e-01   7.603094e-01   8.077908e-01
   1.170205e+00   8.810563e-01   5.013557e-01   7.201243e-01   5.380022e-01
at t =  2.0   nst =  53   hu =   6.771e-02   nqu =  5    max. err. =  1.132e-05
  y array =       1.340393e-01   1.917191e-01   1.373966e-01   1.007921e-01
   1.437785e-01   1.028081e-01   3.844853e-02   5.478725e-02   3.912216e-02
at t =  3.0   nst =  64   hu =   1.228e-01   nqu =  5    max. err. =  8.693e-06
  y array =       1.929445e-02   2.735177e-02   1.939986e-02   1.056336e-02
   1.497622e-02   1.061323e-02   2.918074e-03   4.135065e-03   2.930540e-03

final statistics for this run:
 rwork size = 101   iwork size =  30
 number of steps =   64
 number of f-s   =   77
 (excluding j-s) =   77
 number of j-s   =    0
 error overrun =  3.78e+00


run with mf =  20.     input work lengths lrw, liw =   101    30

at t =  1.0   nst =  39   hu =   5.488e-02   nqu =  5    max. err. =  3.780e-05
  y array =       6.687263e-01   9.901935e-01   7.603094e-01   8.077908e-01
   1.170205e+00   8.810563e-01   5.013557e-01   7.201243e-01   5.380022e-01


********************************************************************************


run with mf =  21.     input work lengths lrw, liw =  1000    90

at t =  1.0   nst =  38   hu =   5.729e-02   nqu =  5    max. err. =  2.537e-05
  y array =       6.687262e-01   9.901909e-01   7.603081e-01   8.077929e-01
   1.170210e+00   8.810587e-01   5.013480e-01   7.201334e-01   5.379898e-01
at t =  2.0   nst =  52   hu =   1.046e-01   nqu =  5    max. err. =  1.323e-05
  y array =       1.340436e-01   1.917089e-01   1.374021e-01   1.007880e-01
   1.437858e-01   1.028051e-01   3.845315e-02   5.478904e-02   3.912758e-02
at t =  3.0   nst =  61   hu =   1.316e-01   nqu =  5    max. err. =  1.335e-05
  y array =       1.929074e-02   2.735425e-02   1.939769e-02   1.056724e-02
   1.497881e-02   1.061856e-02   2.922796e-03   4.142330e-03   2.936188e-03

final statistics for this run:
 rwork size = 245   iwork size =  67
 number of steps =   61
 number of f-s   =   71
 (excluding j-s) =   71
 number of j-s   =    2
 error overrun =  2.54e+00
 number of nonzeros in j =    27
 number of j index groups =    0
 number of lu decomp-s    =    8
 nonzeros in strict lower factor =    8
 nonzeros in strict upper factor =   14

 structure descriptor array ian =
   1   3   6   8  11  15  18  21  25  28

 structure descriptor array jan =
   1   2   3   1   2   3   2   1   5   4   2   6   5   4   3   6   5   7   4   8

 structure descriptor array jan =
   9   7   5   8   9   6   8


run with mf =  21.     input work lengths lrw, liw =   245    67

at t =  1.0   nst =  38   hu =   5.729e-02   nqu =  5    max. err. =  2.537e-05
  y array =       6.687262e-01   9.901909e-01   7.603081e-01   8.077929e-01
   1.170210e+00   8.810587e-01   5.013480e-01   7.201334e-01   5.379898e-01


********************************************************************************


run with mf =  22.     input work lengths lrw, liw =  1000    90

at t =  1.0   nst =  38   hu =   5.729e-02   nqu =  5    max. err. =  2.537e-05
  y array =       6.687262e-01   9.901909e-01   7.603081e-01   8.077929e-01
   1.170210e+00   8.810587e-01   5.013480e-01   7.201334e-01   5.379898e-01
at t =  2.0   nst =  52   hu =   1.046e-01   nqu =  5    max. err. =  1.323e-05
  y array =       1.340436e-01   1.917089e-01   1.374021e-01   1.007880e-01
   1.437858e-01   1.028051e-01   3.845315e-02   5.478904e-02   3.912758e-02
at t =  3.0   nst =  61   hu =   1.316e-01   nqu =  5    max. err. =  1.335e-05
  y array =       1.929074e-02   2.735425e-02   1.939769e-02   1.056724e-02
   1.497881e-02   1.061856e-02   2.922796e-03   4.142330e-03   2.936188e-03

final statistics for this run:
 rwork size = 252   iwork size =  67
 number of steps =   61
 number of f-s   =   79
 (excluding j-s) =   71
 number of j-s   =    2
 error overrun =  2.54e+00
 number of nonzeros in j =    27
 number of j index groups =    4
 number of lu decomp-s    =    8
 nonzeros in strict lower factor =    8
 nonzeros in strict upper factor =   14

 structure descriptor array ian =
   1   3   6   8  11  15  18  21  25  28

 structure descriptor array jan =
   1   2   3   1   2   3   2   1   5   4   2   6   5   4   3   6   5   7   4   8

 structure descriptor array jan =
   9   7   5   8   9   6   8


run with mf =  22.     input work lengths lrw, liw =   252    67

at t =  1.0   nst =  38   hu =   5.729e-02   nqu =  5    max. err. =  2.537e-05
  y array =       6.687262e-01   9.901909e-01   7.603081e-01   8.077929e-01
   1.170210e+00   8.810587e-01   5.013480e-01   7.201334e-01   5.379898e-01


********************************************************************************


run with mf =  23.     input work lengths lrw, liw =  1000    90

at t =  1.0   nst =  39   hu =   5.642e-02   nqu =  5    max. err. =  3.344e-05
  y array =       6.687269e-01   9.901907e-01   7.603066e-01   8.077928e-01
   1.170193e+00   8.810548e-01   5.013390e-01   7.201290e-01   5.379773e-01
at t =  2.0   nst =  53   hu =   7.202e-02   nqu =  5    max. err. =  2.677e-05
  y array =       1.340564e-01   1.917127e-01   1.374015e-01   1.007854e-01
   1.437811e-01   1.027985e-01   3.844373e-02   5.480270e-02   3.911608e-02
at t =  3.0   nst =  80   hu =   2.002e-02   nqu =  4    max. err. =  4.896e-05
  y array =       1.929182e-02   2.734306e-02   1.940098e-02   1.056278e-02
   1.496520e-02   1.060287e-02   2.906778e-03   4.122709e-03   2.974936e-03

final statistics for this run:
 rwork size = 112   iwork size =  30
 number of steps =   80
 number of f-s   =  137
 (excluding j-s) =  122
 number of j-s   =   15
 error overrun =  4.90e+00


run with mf =  23.     input work lengths lrw, liw =   112    30

at t =  1.0   nst =  39   hu =   5.642e-02   nqu =  5    max. err. =  3.344e-05
  y array =       6.687269e-01   9.901907e-01   7.603066e-01   8.077928e-01
   1.170193e+00   8.810548e-01   5.013390e-01   7.201290e-01   5.379773e-01


********************************************************************************


run with mf = 111.     input work lengths lrw, liw =  1000    90

at t =  1.0   nst =  27   hu =   8.617e-02   nqu =  5    max. err. =  9.885e-06
  y array =       6.687270e-01   9.901904e-01   7.603069e-01   8.077962e-01
   1.170220e+00   8.810604e-01   5.013390e-01   7.201386e-01   5.379743e-01
at t =  2.0   nst =  37   hu =   1.153e-01   nqu =  5    max. err. =  5.932e-06
  y array =       1.340466e-01   1.917129e-01   1.374029e-01   1.007885e-01
   1.437872e-01   1.028031e-01   3.844766e-02   5.478186e-02   3.911991e-02
at t =  3.0   nst =  44   hu =   1.549e-01   nqu =  5    max. err. =  3.858e-06
  y array =       1.929197e-02   2.735519e-02   1.939699e-02   1.056239e-02
   1.497139e-02   1.061198e-02   2.916091e-03   4.132470e-03   2.928570e-03

final statistics for this run:
 rwork size = 308   iwork size =  30
 number of steps =   44
 number of f-s   =   56
 (excluding j-s) =   56
 number of j-s   =    1
 error overrun =  9.88e-01
 number of nonzeros in j =    27
 number of j index groups =    0
 number of lu decomp-s    =    9
 nonzeros in strict lower factor =    8
 nonzeros in strict upper factor =   14

 structure descriptor array ian =
   1   3   6   8  11  15  18  21  25  28

 structure descriptor array jan =
   1   2   3   1   2   3   2   1   5   4   2   6   5   4   3   6   5   7   4   8

 structure descriptor array jan =
   9   7   5   8   9   6   8


run with mf = 111.     input work lengths lrw, liw =   308    30

at t =  1.0   nst =  27   hu =   8.617e-02   nqu =  5    max. err. =  9.885e-06
  y array =       6.687270e-01   9.901904e-01   7.603069e-01   8.077962e-01
   1.170220e+00   8.810604e-01   5.013390e-01   7.201386e-01   5.379743e-01


********************************************************************************


run with mf = 112.     input work lengths lrw, liw =  1000    90

at t =  1.0   nst =  27   hu =   8.617e-02   nqu =  5    max. err. =  9.885e-06
  y array =       6.687270e-01   9.901904e-01   7.603069e-01   8.077962e-01
   1.170220e+00   8.810604e-01   5.013390e-01   7.201386e-01   5.379743e-01
at t =  2.0   nst =  37   hu =   1.153e-01   nqu =  5    max. err. =  5.932e-06
  y array =       1.340466e-01   1.917129e-01   1.374029e-01   1.007885e-01
   1.437872e-01   1.028031e-01   3.844766e-02   5.478186e-02   3.911991e-02
at t =  3.0   nst =  44   hu =   1.549e-01   nqu =  5    max. err. =  3.858e-06
  y array =       1.929197e-02   2.735519e-02   1.939699e-02   1.056239e-02
   1.497139e-02   1.061198e-02   2.916091e-03   4.132470e-03   2.928570e-03

final statistics for this run:
 rwork size = 315   iwork size =  30
 number of steps =   44
 number of f-s   =   60
 (excluding j-s) =   56
 number of j-s   =    1
 error overrun =  9.88e-01
 number of nonzeros in j =    27
 number of j index groups =    4
 number of lu decomp-s    =    9
 nonzeros in strict lower factor =    8
 nonzeros in strict upper factor =   14

 structure descriptor array ian =
   1   3   6   8  11  15  18  21  25  28

 structure descriptor array jan =
   1   2   3   1   2   3   2   1   5   4   2   6   5   4   3   6   5   7   4   8

 structure descriptor array jan =
   9   7   5   8   9   6   8


run with mf = 112.     input work lengths lrw, liw =   315    30

at t =  1.0   nst =  27   hu =   8.617e-02   nqu =  5    max. err. =  9.885e-06
  y array =       6.687270e-01   9.901904e-01   7.603069e-01   8.077962e-01
   1.170220e+00   8.810604e-01   5.013390e-01   7.201386e-01   5.379743e-01


********************************************************************************


run with mf = 121.     input work lengths lrw, liw =  1000    90

at t =  1.0   nst =  38   hu =   5.729e-02   nqu =  5    max. err. =  2.537e-05
  y array =       6.687262e-01   9.901909e-01   7.603081e-01   8.077929e-01
   1.170210e+00   8.810587e-01   5.013480e-01   7.201334e-01   5.379898e-01
at t =  2.0   nst =  52   hu =   1.046e-01   nqu =  5    max. err. =  1.323e-05
  y array =       1.340436e-01   1.917089e-01   1.374021e-01   1.007880e-01
   1.437858e-01   1.028051e-01   3.845315e-02   5.478904e-02   3.912758e-02
at t =  3.0   nst =  61   hu =   1.316e-01   nqu =  5    max. err. =  1.335e-05
  y array =       1.929074e-02   2.735425e-02   1.939769e-02   1.056724e-02
   1.497881e-02   1.061856e-02   2.922796e-03   4.142330e-03   2.936188e-03

final statistics for this run:
 rwork size = 245   iwork size =  30
 number of steps =   61
 number of f-s   =   71
 (excluding j-s) =   71
 number of j-s   =    2
 error overrun =  2.54e+00
 number of nonzeros in j =    27
 number of j index groups =    0
 number of lu decomp-s    =    8
 nonzeros in strict lower factor =    8
 nonzeros in strict upper factor =   14

 structure descriptor array ian =
   1   3   6   8  11  15  18  21  25  28

 structure descriptor array jan =
   1   2   3   1   2   3   2   1   5   4   2   6   5   4   3   6   5   7   4   8

 structure descriptor array jan =
   9   7   5   8   9   6   8


run with mf = 121.     input work lengths lrw, liw =   245    30

at t =  1.0   nst =  38   hu =   5.729e-02   nqu =  5    max. err. =  2.537e-05
  y array =       6.687262e-01   9.901909e-01   7.603081e-01   8.077929e-01
   1.170210e+00   8.810587e-01   5.013480e-01   7.201334e-01   5.379898e-01


********************************************************************************


run with mf = 122.     input work lengths lrw, liw =  1000    90

at t =  1.0   nst =  38   hu =   5.729e-02   nqu =  5    max. err. =  2.537e-05
  y array =       6.687262e-01   9.901909e-01   7.603081e-01   8.077929e-01
   1.170210e+00   8.810587e-01   5.013480e-01   7.201334e-01   5.379898e-01
at t =  2.0   nst =  52   hu =   1.046e-01   nqu =  5    max. err. =  1.323e-05
  y array =       1.340436e-01   1.917089e-01   1.374021e-01   1.007880e-01
   1.437858e-01   1.028051e-01   3.845315e-02   5.478904e-02   3.912758e-02
at t =  3.0   nst =  61   hu =   1.316e-01   nqu =  5    max. err. =  1.335e-05
  y array =       1.929074e-02   2.735425e-02   1.939769e-02   1.056724e-02
   1.497881e-02   1.061856e-02   2.922796e-03   4.142330e-03   2.936188e-03

final statistics for this run:
 rwork size = 252   iwork size =  30
 number of steps =   61
 number of f-s   =   79
 (excluding j-s) =   71
 number of j-s   =    2
 error overrun =  2.54e+00
 number of nonzeros in j =    27
 number of j index groups =    4
 number of lu decomp-s    =    8
 nonzeros in strict lower factor =    8
 nonzeros in strict upper factor =   14

 structure descriptor array ian =
   1   3   6   8  11  15  18  21  25  28

 structure descriptor array jan =
   1   2   3   1   2   3   2   1   5   4   2   6   5   4   3   6   5   7   4   8

 structure descriptor array jan =
   9   7   5   8   9   6   8


run with mf = 122.     input work lengths lrw, liw =   252    30

at t =  1.0   nst =  38   hu =   5.729e-02   nqu =  5    max. err. =  2.537e-05
  y array =       6.687262e-01   9.901909e-01   7.603081e-01   8.077929e-01
   1.170210e+00   8.810587e-01   5.013480e-01   7.201334e-01   5.379898e-01


********************************************************************************


run with mf = 211.     input work lengths lrw, liw =  1000    90

at t =  1.0   nst =  27   hu =   8.617e-02   nqu =  5    max. err. =  9.885e-06
  y array =       6.687270e-01   9.901904e-01   7.603069e-01   8.077962e-01
   1.170220e+00   8.810604e-01   5.013390e-01   7.201386e-01   5.379743e-01
at t =  2.0   nst =  37   hu =   1.153e-01   nqu =  5    max. err. =  5.932e-06
  y array =       1.340466e-01   1.917129e-01   1.374029e-01   1.007885e-01
   1.437872e-01   1.028031e-01   3.844766e-02   5.478186e-02   3.911991e-02
at t =  3.0   nst =  44   hu =   1.549e-01   nqu =  5    max. err. =  3.858e-06
  y array =       1.929197e-02   2.735519e-02   1.939699e-02   1.056239e-02
   1.497139e-02   1.061198e-02   2.916091e-03   4.132470e-03   2.928570e-03

final statistics for this run:
 rwork size = 308   iwork size =  30
 number of steps =   44
 number of f-s   =   56
 (excluding j-s) =   56
 number of j-s   =    1
 error overrun =  9.88e-01
 number of nonzeros in j =    27
 number of j index groups =    0
 number of lu decomp-s    =    9
 nonzeros in strict lower factor =    8
 nonzeros in strict upper factor =   14

 structure descriptor array ian =
   1   3   6   8  11  15  18  21  25  28

 structure descriptor array jan =
   1   2   3   1   2   3   2   1   5   4   2   6   5   4   3   6   5   7   4   8

 structure descriptor array jan =
   9   7   5   8   9   6   8


run with mf = 211.     input work lengths lrw, liw =   308    30

at t =  1.0   nst =  27   hu =   8.617e-02   nqu =  5    max. err. =  9.885e-06
  y array =       6.687270e-01   9.901904e-01   7.603069e-01   8.077962e-01
   1.170220e+00   8.810604e-01   5.013390e-01   7.201386e-01   5.379743e-01


********************************************************************************


run with mf = 212.     input work lengths lrw, liw =  1000    90

at t =  1.0   nst =  27   hu =   8.617e-02   nqu =  5    max. err. =  9.885e-06
  y array =       6.687270e-01   9.901904e-01   7.603069e-01   8.077962e-01
   1.170220e+00   8.810604e-01   5.013390e-01   7.201386e-01   5.379743e-01
at t =  2.0   nst =  37   hu =   1.153e-01   nqu =  5    max. err. =  5.932e-06
  y array =       1.340466e-01   1.917129e-01   1.374029e-01   1.007885e-01
   1.437872e-01   1.028031e-01   3.844766e-02   5.478186e-02   3.911991e-02
at t =  3.0   nst =  44   hu =   1.549e-01   nqu =  5    max. err. =  3.858e-06
  y array =       1.929197e-02   2.735519e-02   1.939699e-02   1.056239e-02
   1.497139e-02   1.061198e-02   2.916091e-03   4.132470e-03   2.928570e-03

final statistics for this run:
 rwork size = 315   iwork size =  30
 number of steps =   44
 number of f-s   =   60
 (excluding j-s) =   56
 number of j-s   =    1
 error overrun =  9.88e-01
 number of nonzeros in j =    27
 number of j index groups =    4
 number of lu decomp-s    =    9
 nonzeros in strict lower factor =    8
 nonzeros in strict upper factor =   14

 structure descriptor array ian =
   1   3   6   8  11  15  18  21  25  28

 structure descriptor array jan =
   1   2   3   1   2   3   2   1   5   4   2   6   5   4   3   6   5   7   4   8

 structure descriptor array jan =
   9   7   5   8   9   6   8


run with mf = 212.     input work lengths lrw, liw =   315    30

at t =  1.0   nst =  27   hu =   8.617e-02   nqu =  5    max. err. =  9.885e-06
  y array =       6.687270e-01   9.901904e-01   7.603069e-01   8.077962e-01
   1.170220e+00   8.810604e-01   5.013390e-01   7.201386e-01   5.379743e-01


********************************************************************************


run with mf = 221.     input work lengths lrw, liw =  1000    90

at t =  1.0   nst =  38   hu =   5.729e-02   nqu =  5    max. err. =  2.537e-05
  y array =       6.687262e-01   9.901909e-01   7.603081e-01   8.077929e-01
   1.170210e+00   8.810587e-01   5.013480e-01   7.201334e-01   5.379898e-01
at t =  2.0   nst =  52   hu =   1.046e-01   nqu =  5    max. err. =  1.323e-05
  y array =       1.340436e-01   1.917089e-01   1.374021e-01   1.007880e-01
   1.437858e-01   1.028051e-01   3.845315e-02   5.478904e-02   3.912758e-02
at t =  3.0   nst =  61   hu =   1.316e-01   nqu =  5    max. err. =  1.335e-05
  y array =       1.929074e-02   2.735425e-02   1.939769e-02   1.056724e-02
   1.497881e-02   1.061856e-02   2.922796e-03   4.142330e-03   2.936188e-03

final statistics for this run:
 rwork size = 245   iwork size =  30
 number of steps =   61
 number of f-s   =   71
 (excluding j-s) =   71
 number of j-s   =    2
 error overrun =  2.54e+00
 number of nonzeros in j =    27
 number of j index groups =    0
 number of lu decomp-s    =    8
 nonzeros in strict lower factor =    8
 nonzeros in strict upper factor =   14

 structure descriptor array ian =
   1   3   6   8  11  15  18  21  25  28

 structure descriptor array jan =
   1   2   3   1   2   3   2   1   5   4   2   6   5   4   3   6   5   7   4   8

 structure descriptor array jan =
   9   7   5   8   9   6   8


run with mf = 221.     input work lengths lrw, liw =   245    30

at t =  1.0   nst =  38   hu =   5.729e-02   nqu =  5    max. err. =  2.537e-05
  y array =       6.687262e-01   9.901909e-01   7.603081e-01   8.077929e-01
   1.170210e+00   8.810587e-01   5.013480e-01   7.201334e-01   5.379898e-01


********************************************************************************


run with mf = 222.     input work lengths lrw, liw =  1000    90

at t =  1.0   nst =  38   hu =   5.729e-02   nqu =  5    max. err. =  2.537e-05
  y array =       6.687262e-01   9.901909e-01   7.603081e-01   8.077929e-01
   1.170210e+00   8.810587e-01   5.013480e-01   7.201334e-01   5.379898e-01
at t =  2.0   nst =  52   hu =   1.046e-01   nqu =  5    max. err. =  1.323e-05
  y array =       1.340436e-01   1.917089e-01   1.374021e-01   1.007880e-01
   1.437858e-01   1.028051e-01   3.845315e-02   5.478904e-02   3.912758e-02
at t =  3.0   nst =  61   hu =   1.316e-01   nqu =  5    max. err. =  1.335e-05
  y array =       1.929074e-02   2.735425e-02   1.939769e-02   1.056724e-02
   1.497881e-02   1.061856e-02   2.922796e-03   4.142330e-03   2.936188e-03

final statistics for this run:
 rwork size = 252   iwork size =  30
 number of steps =   61
 number of f-s   =   79
 (excluding j-s) =   71
 number of j-s   =    2
 error overrun =  2.54e+00
 number of nonzeros in j =    27
 number of j index groups =    4
 number of lu decomp-s    =    8
 nonzeros in strict lower factor =    8
 nonzeros in strict upper factor =   14

 structure descriptor array ian =
   1   3   6   8  11  15  18  21  25  28

 structure descriptor array jan =
   1   2   3   1   2   3   2   1   5   4   2   6   5   4   3   6   5   7   4   8

 structure descriptor array jan =
   9   7   5   8   9   6   8


run with mf = 222.     input work lengths lrw, liw =   252    30

at t =  1.0   nst =  38   hu =   5.729e-02   nqu =  5    max. err. =  2.537e-05
  y array =       6.687262e-01   9.901909e-01   7.603081e-01   8.077929e-01
   1.170210e+00   8.810587e-01   5.013480e-01   7.201334e-01   5.379898e-01


********************************************************************************


number of errors encountered =  0
rc= 0
** odepack/dlsodis.f
                     demonstration program for dlsodis


          -- simplified galerkin solution of burgers equation --


             diffusion coefficient is eta =  5.00e-02
             uniform mesh on interval  -1.000e+00 to    1.000e+00
             periodic boundary conditions
             initial data are as follows:

                    t0 =  0.00000e+00
                    tlast =  4.00000e-01
                    n  =  12



initial profile:
  0.0000e+00  0.0000e+00  0.0000e+00  5.0000e-01  1.0000e+00  1.0000e+00
  1.0000e+00  1.0000e+00  1.0000e+00  5.0000e-01  0.0000e+00  0.0000e+00

initial sparse data structures

 ia     1   4   7  10  13  16  19  22  25  28  31  34  37
 ja    12   1   2   1   2   3   2   3   4   3   4   5   4   5   6
        5   6   7   6   7   8   7   8   9   8   9  10   9  10  11
       10  11  12  11  12   1
 ic     1   4   7  10  13  16  19  22  25  28  31  34  37
 jc    12   1   2   1   2   3   2   3   4   3   4   5   4   5   6
        5   6   7   6   7   8   7   8   9   8   9  10   9  10  11
       10  11  12  11  12   1



*************************************************************************************


run with itol = 1  rtol =    1.00e-03  atol =    1.00e-03   mf =  11


 output for time t = 1.00000e-01  current h = 4.91763e-02  current order = 2
 -1.4627e-03 -3.8326e-03  7.8444e-02  3.8122e-01  7.6707e-01  9.7283e-01
  1.0053e+00  1.0006e+00  9.9726e-01  6.5909e-01  1.5342e-01 -9.8594e-03

 output for time t = 2.00000e-01  current h = 4.91763e-02  current order = 2
 -8.4157e-03  1.1001e-02  1.0572e-01  3.2734e-01  6.1816e-01  8.5987e-01
  9.7827e-01  1.0019e+00  1.0018e+00  7.7560e-01  3.0445e-01  2.4266e-02

 output for time t = 3.00000e-01  current h = 8.28140e-02  current order = 2
 -3.6931e-03  2.3228e-02  1.1735e-01  2.9414e-01  5.2365e-01  7.4782e-01
  9.0941e-01  9.8299e-01  1.0035e+00  8.6224e-01  4.4976e-01  8.9586e-02

 output for time t = 4.00000e-01  current h = 8.28140e-02  current order = 2
  1.6199e-02  3.2670e-02  1.2216e-01  2.7041e-01  4.5953e-01  6.5694e-01
  8.2688e-01  9.3782e-01  9.9030e-01  9.2152e-01  5.8493e-01  1.8064e-01


final statistics for mf =  11:    10 steps,    14 res,     4 jacobians,
                     rw size =   421,    iw size =   128
                       0 extra res for each jac,   4 decomps
final output is correct to within  5.98e-01  times local error tolerance.




*************************************************************************************


run with itol = 1  rtol =    1.00e-03  atol =    1.00e-03   mf =  12


 output for time t = 1.00000e-01  current h = 4.91763e-02  current order = 2
 -1.4627e-03 -3.8326e-03  7.8444e-02  3.8122e-01  7.6707e-01  9.7283e-01
  1.0053e+00  1.0006e+00  9.9726e-01  6.5909e-01  1.5342e-01 -9.8594e-03

 output for time t = 2.00000e-01  current h = 4.91763e-02  current order = 2
 -8.4157e-03  1.1001e-02  1.0572e-01  3.2734e-01  6.1816e-01  8.5987e-01
  9.7827e-01  1.0019e+00  1.0018e+00  7.7560e-01  3.0445e-01  2.4266e-02

 output for time t = 3.00000e-01  current h = 8.28141e-02  current order = 2
 -3.6931e-03  2.3228e-02  1.1735e-01  2.9414e-01  5.2365e-01  7.4782e-01
  9.0941e-01  9.8299e-01  1.0035e+00  8.6224e-01  4.4976e-01  8.9586e-02

 output for time t = 4.00000e-01  current h = 8.28141e-02  current order = 2
  1.6199e-02  3.2670e-02  1.2216e-01  2.7041e-01  4.5953e-01  6.5694e-01
  8.2688e-01  9.3782e-01  9.9030e-01  9.2152e-01  5.8493e-01  1.8064e-01


final statistics for mf =  12:    10 steps,    30 res,     4 jacobians,
                     rw size =   429,    iw size =   128
                       3 extra res for each jac,   4 decomps
final output is correct to within  5.98e-01  times local error tolerance.




*************************************************************************************


run with itol = 1  rtol =    1.00e-03  atol =    1.00e-03   mf =  21


 output for time t = 1.00000e-01  current h = 4.10650e-02  current order = 3
 -1.6795e-03 -3.5501e-03  7.8147e-02  3.8155e-01  7.6687e-01  9.7258e-01
  1.0058e+00  1.0002e+00  9.9745e-01  6.5898e-01  1.5341e-01 -9.7380e-03

 output for time t = 2.00000e-01  current h = 4.10650e-02  current order = 3
 -9.1065e-03  1.1955e-02  1.0442e-01  3.2922e-01  6.1870e-01  8.5648e-01
  9.7954e-01  1.0024e+00  1.0020e+00  7.7523e-01  3.0442e-01  2.4723e-02

 output for time t = 3.00000e-01  current h = 4.10650e-02  current order = 3
 -3.8401e-03  2.3248e-02  1.1677e-01  2.9534e-01  5.2564e-01  7.4566e-01
  9.0707e-01  9.8376e-01  1.0045e+00  8.6211e-01  4.4988e-01  8.9881e-02

 output for time t = 4.00000e-01  current h = 6.75720e-02  current order = 3
  1.6118e-02  3.2335e-02  1.2184e-01  2.7135e-01  4.6171e-01  6.5676e-01
  8.2354e-01  9.3627e-01  9.9147e-01  9.2224e-01  5.8532e-01  1.8105e-01


final statistics for mf =  21:    13 steps,    18 res,     4 jacobians,
                     rw size =   337,    iw size =   128
                       0 extra res for each jac,   4 decomps
final output is correct to within  4.09e-01  times local error tolerance.




*************************************************************************************


run with itol = 1  rtol =    1.00e-03  atol =    1.00e-03   mf =  22


 output for time t = 1.00000e-01  current h = 4.10649e-02  current order = 3
 -1.6795e-03 -3.5501e-03  7.8147e-02  3.8155e-01  7.6687e-01  9.7258e-01
  1.0058e+00  1.0002e+00  9.9745e-01  6.5898e-01  1.5341e-01 -9.7380e-03

 output for time t = 2.00000e-01  current h = 4.10649e-02  current order = 3
 -9.1065e-03  1.1955e-02  1.0442e-01  3.2922e-01  6.1870e-01  8.5648e-01
  9.7954e-01  1.0024e+00  1.0020e+00  7.7523e-01  3.0442e-01  2.4723e-02

 output for time t = 3.00000e-01  current h = 4.10649e-02  current order = 3
 -3.8401e-03  2.3248e-02  1.1677e-01  2.9534e-01  5.2564e-01  7.4566e-01
  9.0707e-01  9.8376e-01  1.0045e+00  8.6211e-01  4.4988e-01  8.9881e-02

 output for time t = 4.00000e-01  current h = 6.75719e-02  current order = 3
  1.6118e-02  3.2335e-02  1.2184e-01  2.7135e-01  4.6171e-01  6.5676e-01
  8.2354e-01  9.3627e-01  9.9147e-01  9.2224e-01  5.8532e-01  1.8105e-01


final statistics for mf =  22:    13 steps,    34 res,     4 jacobians,
                     rw size =   345,    iw size =   128
                       3 extra res for each jac,   4 decomps
final output is correct to within  4.09e-01  times local error tolerance.




*************************************************************************************


run with itol = 1  rtol =    1.00e-03  atol =    1.00e-03   mf = 111


 output for time t = 1.00000e-01  current h = 4.91763e-02  current order = 2
 -1.4627e-03 -3.8326e-03  7.8444e-02  3.8122e-01  7.6707e-01  9.7283e-01
  1.0053e+00  1.0006e+00  9.9726e-01  6.5909e-01  1.5342e-01 -9.8594e-03

 output for time t = 2.00000e-01  current h = 4.91763e-02  current order = 2
 -8.4157e-03  1.1001e-02  1.0572e-01  3.2734e-01  6.1816e-01  8.5987e-01
  9.7827e-01  1.0019e+00  1.0018e+00  7.7560e-01  3.0445e-01  2.4266e-02

 output for time t = 3.00000e-01  current h = 8.28140e-02  current order = 2
 -3.6931e-03  2.3228e-02  1.1735e-01  2.9414e-01  5.2365e-01  7.4782e-01
  9.0941e-01  9.8299e-01  1.0035e+00  8.6224e-01  4.4976e-01  8.9586e-02

 output for time t = 4.00000e-01  current h = 8.28140e-02  current order = 2
  1.6199e-02  3.2670e-02  1.2216e-01  2.7041e-01  4.5953e-01  6.5694e-01
  8.2688e-01  9.3782e-01  9.9030e-01  9.2152e-01  5.8493e-01  1.8064e-01


final statistics for mf = 111:    10 steps,    14 res,     4 jacobians,
                     rw size =   421,    iw size =    30
                       0 extra res for each jac,   4 decomps
final output is correct to within  5.98e-01  times local error tolerance.




*************************************************************************************


run with itol = 1  rtol =    1.00e-03  atol =    1.00e-03   mf = 112


 output for time t = 1.00000e-01  current h = 4.91763e-02  current order = 2
 -1.4627e-03 -3.8326e-03  7.8444e-02  3.8122e-01  7.6707e-01  9.7283e-01
  1.0053e+00  1.0006e+00  9.9726e-01  6.5909e-01  1.5342e-01 -9.8594e-03

 output for time t = 2.00000e-01  current h = 4.91763e-02  current order = 2
 -8.4157e-03  1.1001e-02  1.0572e-01  3.2734e-01  6.1816e-01  8.5987e-01
  9.7827e-01  1.0019e+00  1.0018e+00  7.7560e-01  3.0445e-01  2.4266e-02

 output for time t = 3.00000e-01  current h = 8.28141e-02  current order = 2
 -3.6931e-03  2.3228e-02  1.1735e-01  2.9414e-01  5.2365e-01  7.4782e-01
  9.0941e-01  9.8299e-01  1.0035e+00  8.6224e-01  4.4976e-01  8.9586e-02

 output for time t = 4.00000e-01  current h = 8.28141e-02  current order = 2
  1.6199e-02  3.2670e-02  1.2216e-01  2.7041e-01  4.5953e-01  6.5694e-01
  8.2688e-01  9.3782e-01  9.9030e-01  9.2152e-01  5.8493e-01  1.8064e-01


final statistics for mf = 112:    10 steps,    30 res,     4 jacobians,
                     rw size =   429,    iw size =    30
                       3 extra res for each jac,   4 decomps
final output is correct to within  5.98e-01  times local error tolerance.




*************************************************************************************


run with itol = 1  rtol =    1.00e-03  atol =    1.00e-03   mf = 121


 output for time t = 1.00000e-01  current h = 4.10650e-02  current order = 3
 -1.6795e-03 -3.5501e-03  7.8147e-02  3.8155e-01  7.6687e-01  9.7258e-01
  1.0058e+00  1.0002e+00  9.9745e-01  6.5898e-01  1.5341e-01 -9.7380e-03

 output for time t = 2.00000e-01  current h = 4.10650e-02  current order = 3
 -9.1065e-03  1.1955e-02  1.0442e-01  3.2922e-01  6.1870e-01  8.5648e-01
  9.7954e-01  1.0024e+00  1.0020e+00  7.7523e-01  3.0442e-01  2.4723e-02

 output for time t = 3.00000e-01  current h = 4.10650e-02  current order = 3
 -3.8401e-03  2.3248e-02  1.1677e-01  2.9534e-01  5.2564e-01  7.4566e-01
  9.0707e-01  9.8376e-01  1.0045e+00  8.6211e-01  4.4988e-01  8.9881e-02

 output for time t = 4.00000e-01  current h = 6.75720e-02  current order = 3
  1.6118e-02  3.2335e-02  1.2184e-01  2.7135e-01  4.6171e-01  6.5676e-01
  8.2354e-01  9.3627e-01  9.9147e-01  9.2224e-01  5.8532e-01  1.8105e-01


final statistics for mf = 121:    13 steps,    18 res,     4 jacobians,
                     rw size =   337,    iw size =    30
                       0 extra res for each jac,   4 decomps
final output is correct to within  4.09e-01  times local error tolerance.




*************************************************************************************


run with itol = 1  rtol =    1.00e-03  atol =    1.00e-03   mf = 122


 output for time t = 1.00000e-01  current h = 4.10649e-02  current order = 3
 -1.6795e-03 -3.5501e-03  7.8147e-02  3.8155e-01  7.6687e-01  9.7258e-01
  1.0058e+00  1.0002e+00  9.9745e-01  6.5898e-01  1.5341e-01 -9.7380e-03

 output for time t = 2.00000e-01  current h = 4.10649e-02  current order = 3
 -9.1065e-03  1.1955e-02  1.0442e-01  3.2922e-01  6.1870e-01  8.5648e-01
  9.7954e-01  1.0024e+00  1.0020e+00  7.7523e-01  3.0442e-01  2.4723e-02

 output for time t = 3.00000e-01  current h = 4.10649e-02  current order = 3
 -3.8401e-03  2.3248e-02  1.1677e-01  2.9534e-01  5.2564e-01  7.4566e-01
  9.0707e-01  9.8376e-01  1.0045e+00  8.6211e-01  4.4988e-01  8.9881e-02

 output for time t = 4.00000e-01  current h = 6.75719e-02  current order = 3
  1.6118e-02  3.2335e-02  1.2184e-01  2.7135e-01  4.6171e-01  6.5676e-01
  8.2354e-01  9.3627e-01  9.9147e-01  9.2224e-01  5.8532e-01  1.8105e-01


final statistics for mf = 122:    13 steps,    34 res,     4 jacobians,
                     rw size =   345,    iw size =    30
                       3 extra res for each jac,   4 decomps
final output is correct to within  4.09e-01  times local error tolerance.




*************************************************************************************


run with itol = 1  rtol =    1.00e-03  atol =    1.00e-03   mf = 211


 output for time t = 1.00000e-01  current h = 4.91763e-02  current order = 2
 -1.4627e-03 -3.8326e-03  7.8444e-02  3.8122e-01  7.6707e-01  9.7283e-01
  1.0053e+00  1.0006e+00  9.9726e-01  6.5909e-01  1.5342e-01 -9.8594e-03

 output for time t = 2.00000e-01  current h = 4.91763e-02  current order = 2
 -8.4157e-03  1.1001e-02  1.0572e-01  3.2734e-01  6.1816e-01  8.5987e-01
  9.7827e-01  1.0019e+00  1.0018e+00  7.7560e-01  3.0445e-01  2.4266e-02

 output for time t = 3.00000e-01  current h = 8.28140e-02  current order = 2
 -3.6931e-03  2.3228e-02  1.1735e-01  2.9414e-01  5.2365e-01  7.4782e-01
  9.0941e-01  9.8299e-01  1.0035e+00  8.6224e-01  4.4976e-01  8.9586e-02

 output for time t = 4.00000e-01  current h = 8.28140e-02  current order = 2
  1.6199e-02  3.2670e-02  1.2216e-01  2.7041e-01  4.5953e-01  6.5694e-01
  8.2688e-01  9.3782e-01  9.9030e-01  9.2152e-01  5.8493e-01  1.8064e-01


final statistics for mf = 211:    10 steps,    14 res,     4 jacobians,
                     rw size =   421,    iw size =    30
                       0 extra res for each jac,   4 decomps
final output is correct to within  5.98e-01  times local error tolerance.




*************************************************************************************


run with itol = 1  rtol =    1.00e-03  atol =    1.00e-03   mf = 212


 output for time t = 1.00000e-01  current h = 4.91763e-02  current order = 2
 -1.4627e-03 -3.8326e-03  7.8444e-02  3.8122e-01  7.6707e-01  9.7283e-01
  1.0053e+00  1.0006e+00  9.9726e-01  6.5909e-01  1.5342e-01 -9.8594e-03

 output for time t = 2.00000e-01  current h = 4.91763e-02  current order = 2
 -8.4157e-03  1.1001e-02  1.0572e-01  3.2734e-01  6.1816e-01  8.5987e-01
  9.7827e-01  1.0019e+00  1.0018e+00  7.7560e-01  3.0445e-01  2.4266e-02

 output for time t = 3.00000e-01  current h = 8.28141e-02  current order = 2
 -3.6931e-03  2.3228e-02  1.1735e-01  2.9414e-01  5.2365e-01  7.4782e-01
  9.0941e-01  9.8299e-01  1.0035e+00  8.6224e-01  4.4976e-01  8.9586e-02

 output for time t = 4.00000e-01  current h = 8.28141e-02  current order = 2
  1.6199e-02  3.2670e-02  1.2216e-01  2.7041e-01  4.5953e-01  6.5694e-01
  8.2688e-01  9.3782e-01  9.9030e-01  9.2152e-01  5.8493e-01  1.8064e-01


final statistics for mf = 212:    10 steps,    30 res,     4 jacobians,
                     rw size =   429,    iw size =    30
                       3 extra res for each jac,   4 decomps
final output is correct to within  5.98e-01  times local error tolerance.




*************************************************************************************


run with itol = 1  rtol =    1.00e-03  atol =    1.00e-03   mf = 221


 output for time t = 1.00000e-01  current h = 4.10650e-02  current order = 3
 -1.6795e-03 -3.5501e-03  7.8147e-02  3.8155e-01  7.6687e-01  9.7258e-01
  1.0058e+00  1.0002e+00  9.9745e-01  6.5898e-01  1.5341e-01 -9.7380e-03

 output for time t = 2.00000e-01  current h = 4.10650e-02  current order = 3
 -9.1065e-03  1.1955e-02  1.0442e-01  3.2922e-01  6.1870e-01  8.5648e-01
  9.7954e-01  1.0024e+00  1.0020e+00  7.7523e-01  3.0442e-01  2.4723e-02

 output for time t = 3.00000e-01  current h = 4.10650e-02  current order = 3
 -3.8401e-03  2.3248e-02  1.1677e-01  2.9534e-01  5.2564e-01  7.4566e-01
  9.0707e-01  9.8376e-01  1.0045e+00  8.6211e-01  4.4988e-01  8.9881e-02

 output for time t = 4.00000e-01  current h = 6.75720e-02  current order = 3
  1.6118e-02  3.2335e-02  1.2184e-01  2.7135e-01  4.6171e-01  6.5676e-01
  8.2354e-01  9.3627e-01  9.9147e-01  9.2224e-01  5.8532e-01  1.8105e-01


final statistics for mf = 221:    13 steps,    18 res,     4 jacobians,
                     rw size =   337,    iw size =    30
                       0 extra res for each jac,   4 decomps
final output is correct to within  4.09e-01  times local error tolerance.




*************************************************************************************


run with itol = 1  rtol =    1.00e-03  atol =    1.00e-03   mf = 222


 output for time t = 1.00000e-01  current h = 4.10649e-02  current order = 3
 -1.6795e-03 -3.5501e-03  7.8147e-02  3.8155e-01  7.6687e-01  9.7258e-01
  1.0058e+00  1.0002e+00  9.9745e-01  6.5898e-01  1.5341e-01 -9.7380e-03

 output for time t = 2.00000e-01  current h = 4.10649e-02  current order = 3
 -9.1065e-03  1.1955e-02  1.0442e-01  3.2922e-01  6.1870e-01  8.5648e-01
  9.7954e-01  1.0024e+00  1.0020e+00  7.7523e-01  3.0442e-01  2.4723e-02

 output for time t = 3.00000e-01  current h = 4.10649e-02  current order = 3
 -3.8401e-03  2.3248e-02  1.1677e-01  2.9534e-01  5.2564e-01  7.4566e-01
  9.0707e-01  9.8376e-01  1.0045e+00  8.6211e-01  4.4988e-01  8.9881e-02

 output for time t = 4.00000e-01  current h = 6.75719e-02  current order = 3
  1.6118e-02  3.2335e-02  1.2184e-01  2.7135e-01  4.6171e-01  6.5676e-01
  8.2354e-01  9.3627e-01  9.9147e-01  9.2224e-01  5.8532e-01  1.8105e-01


final statistics for mf = 222:    13 steps,    34 res,     4 jacobians,
                     rw size =   345,    iw size =    30
                       3 extra res for each jac,   4 decomps
final output is correct to within  4.09e-01  times local error tolerance.




*************************************************************************************


run with itol = 1  rtol =    1.00e-03  atol =    1.00e-03   mf = 311


 output for time t = 1.00000e-01  current h = 4.91763e-02  current order = 2
 -1.4627e-03 -3.8326e-03  7.8444e-02  3.8122e-01  7.6707e-01  9.7283e-01
  1.0053e+00  1.0006e+00  9.9726e-01  6.5909e-01  1.5342e-01 -9.8594e-03

 output for time t = 2.00000e-01  current h = 4.91763e-02  current order = 2
 -8.4157e-03  1.1001e-02  1.0572e-01  3.2734e-01  6.1816e-01  8.5987e-01
  9.7827e-01  1.0019e+00  1.0018e+00  7.7560e-01  3.0445e-01  2.4266e-02

 output for time t = 3.00000e-01  current h = 8.28140e-02  current order = 2
 -3.6931e-03  2.3228e-02  1.1735e-01  2.9414e-01  5.2365e-01  7.4782e-01
  9.0941e-01  9.8299e-01  1.0035e+00  8.6224e-01  4.4976e-01  8.9586e-02

 output for time t = 4.00000e-01  current h = 8.28140e-02  current order = 2
  1.6199e-02  3.2670e-02  1.2216e-01  2.7041e-01  4.5953e-01  6.5694e-01
  8.2688e-01  9.3782e-01  9.9030e-01  9.2152e-01  5.8493e-01  1.8064e-01


final statistics for mf = 311:    10 steps,    14 res,     4 jacobians,
                     rw size =   421,    iw size =    79
                       0 extra res for each jac,   4 decomps
final output is correct to within  5.98e-01  times local error tolerance.




*************************************************************************************


run with itol = 1  rtol =    1.00e-03  atol =    1.00e-03   mf = 312


 output for time t = 1.00000e-01  current h = 4.91763e-02  current order = 2
 -1.4627e-03 -3.8326e-03  7.8444e-02  3.8122e-01  7.6707e-01  9.7283e-01
  1.0053e+00  1.0006e+00  9.9726e-01  6.5909e-01  1.5342e-01 -9.8594e-03

 output for time t = 2.00000e-01  current h = 4.91763e-02  current order = 2
 -8.4157e-03  1.1001e-02  1.0572e-01  3.2734e-01  6.1816e-01  8.5987e-01
  9.7827e-01  1.0019e+00  1.0018e+00  7.7560e-01  3.0445e-01  2.4266e-02

 output for time t = 3.00000e-01  current h = 8.28141e-02  current order = 2
 -3.6931e-03  2.3228e-02  1.1735e-01  2.9414e-01  5.2365e-01  7.4782e-01
  9.0941e-01  9.8299e-01  1.0035e+00  8.6224e-01  4.4976e-01  8.9586e-02

 output for time t = 4.00000e-01  current h = 8.28141e-02  current order = 2
  1.6199e-02  3.2670e-02  1.2216e-01  2.7041e-01  4.5953e-01  6.5694e-01
  8.2688e-01  9.3782e-01  9.9030e-01  9.2152e-01  5.8493e-01  1.8064e-01


final statistics for mf = 312:    10 steps,    30 res,     4 jacobians,
                     rw size =   429,    iw size =    79
                       3 extra res for each jac,   4 decomps
final output is correct to within  5.98e-01  times local error tolerance.




*************************************************************************************


run with itol = 1  rtol =    1.00e-03  atol =    1.00e-03   mf = 321


 output for time t = 1.00000e-01  current h = 4.10650e-02  current order = 3
 -1.6795e-03 -3.5501e-03  7.8147e-02  3.8155e-01  7.6687e-01  9.7258e-01
  1.0058e+00  1.0002e+00  9.9745e-01  6.5898e-01  1.5341e-01 -9.7380e-03

 output for time t = 2.00000e-01  current h = 4.10650e-02  current order = 3
 -9.1065e-03  1.1955e-02  1.0442e-01  3.2922e-01  6.1870e-01  8.5648e-01
  9.7954e-01  1.0024e+00  1.0020e+00  7.7523e-01  3.0442e-01  2.4723e-02

 output for time t = 3.00000e-01  current h = 4.10650e-02  current order = 3
 -3.8401e-03  2.3248e-02  1.1677e-01  2.9534e-01  5.2564e-01  7.4566e-01
  9.0707e-01  9.8376e-01  1.0045e+00  8.6211e-01  4.4988e-01  8.9881e-02

 output for time t = 4.00000e-01  current h = 6.75720e-02  current order = 3
  1.6118e-02  3.2335e-02  1.2184e-01  2.7135e-01  4.6171e-01  6.5676e-01
  8.2354e-01  9.3627e-01  9.9147e-01  9.2224e-01  5.8532e-01  1.8105e-01


final statistics for mf = 321:    13 steps,    18 res,     4 jacobians,
                     rw size =   337,    iw size =    79
                       0 extra res for each jac,   4 decomps
final output is correct to within  4.09e-01  times local error tolerance.




*************************************************************************************


run with itol = 1  rtol =    1.00e-03  atol =    1.00e-03   mf = 322


 output for time t = 1.00000e-01  current h = 4.10649e-02  current order = 3
 -1.6795e-03 -3.5501e-03  7.8147e-02  3.8155e-01  7.6687e-01  9.7258e-01
  1.0058e+00  1.0002e+00  9.9745e-01  6.5898e-01  1.5341e-01 -9.7380e-03

 output for time t = 2.00000e-01  current h = 4.10649e-02  current order = 3
 -9.1065e-03  1.1955e-02  1.0442e-01  3.2922e-01  6.1870e-01  8.5648e-01
  9.7954e-01  1.0024e+00  1.0020e+00  7.7523e-01  3.0442e-01  2.4723e-02

 output for time t = 3.00000e-01  current h = 4.10649e-02  current order = 3
 -3.8401e-03  2.3248e-02  1.1677e-01  2.9534e-01  5.2564e-01  7.4566e-01
  9.0707e-01  9.8376e-01  1.0045e+00  8.6211e-01  4.4988e-01  8.9881e-02

 output for time t = 4.00000e-01  current h = 6.75719e-02  current order = 3
  1.6118e-02  3.2335e-02  1.2184e-01  2.7135e-01  4.6171e-01  6.5676e-01
  8.2354e-01  9.3627e-01  9.9147e-01  9.2224e-01  5.8532e-01  1.8105e-01


final statistics for mf = 322:    13 steps,    34 res,     4 jacobians,
                     rw size =   345,    iw size =    79
                       3 extra res for each jac,   4 decomps
final output is correct to within  4.09e-01  times local error tolerance.




*************************************************************************************


run with itol = 1  rtol =    1.00e-03  atol =    1.00e-03   mf = 411


 output for time t = 1.00000e-01  current h = 4.91763e-02  current order = 2
 -1.4627e-03 -3.8326e-03  7.8444e-02  3.8122e-01  7.6707e-01  9.7283e-01
  1.0053e+00  1.0006e+00  9.9726e-01  6.5909e-01  1.5342e-01 -9.8594e-03

 output for time t = 2.00000e-01  current h = 4.91763e-02  current order = 2
 -8.4157e-03  1.1001e-02  1.0572e-01  3.2734e-01  6.1816e-01  8.5987e-01
  9.7827e-01  1.0019e+00  1.0018e+00  7.7560e-01  3.0445e-01  2.4266e-02

 output for time t = 3.00000e-01  current h = 8.28140e-02  current order = 2
 -3.6931e-03  2.3228e-02  1.1735e-01  2.9414e-01  5.2365e-01  7.4782e-01
  9.0941e-01  9.8299e-01  1.0035e+00  8.6224e-01  4.4976e-01  8.9586e-02

 output for time t = 4.00000e-01  current h = 8.28140e-02  current order = 2
  1.6199e-02  3.2670e-02  1.2216e-01  2.7041e-01  4.5953e-01  6.5694e-01
  8.2688e-01  9.3782e-01  9.9030e-01  9.2152e-01  5.8493e-01  1.8064e-01


final statistics for mf = 411:    10 steps,    14 res,     4 jacobians,
                     rw size =   421,    iw size =    79
                       0 extra res for each jac,   4 decomps
final output is correct to within  5.98e-01  times local error tolerance.




*************************************************************************************


run with itol = 1  rtol =    1.00e-03  atol =    1.00e-03   mf = 412


 output for time t = 1.00000e-01  current h = 4.91763e-02  current order = 2
 -1.4627e-03 -3.8326e-03  7.8444e-02  3.8122e-01  7.6707e-01  9.7283e-01
  1.0053e+00  1.0006e+00  9.9726e-01  6.5909e-01  1.5342e-01 -9.8594e-03

 output for time t = 2.00000e-01  current h = 4.91763e-02  current order = 2
 -8.4157e-03  1.1001e-02  1.0572e-01  3.2734e-01  6.1816e-01  8.5987e-01
  9.7827e-01  1.0019e+00  1.0018e+00  7.7560e-01  3.0445e-01  2.4266e-02

 output for time t = 3.00000e-01  current h = 8.28141e-02  current order = 2
 -3.6931e-03  2.3228e-02  1.1735e-01  2.9414e-01  5.2365e-01  7.4782e-01
  9.0941e-01  9.8299e-01  1.0035e+00  8.6224e-01  4.4976e-01  8.9586e-02

 output for time t = 4.00000e-01  current h = 8.28141e-02  current order = 2
  1.6199e-02  3.2670e-02  1.2216e-01  2.7041e-01  4.5953e-01  6.5694e-01
  8.2688e-01  9.3782e-01  9.9030e-01  9.2152e-01  5.8493e-01  1.8064e-01


final statistics for mf = 412:    10 steps,    30 res,     4 jacobians,
                     rw size =   429,    iw size =    79
                       3 extra res for each jac,   4 decomps
final output is correct to within  5.98e-01  times local error tolerance.




*************************************************************************************


run with itol = 1  rtol =    1.00e-03  atol =    1.00e-03   mf = 421


 output for time t = 1.00000e-01  current h = 4.10650e-02  current order = 3
 -1.6795e-03 -3.5501e-03  7.8147e-02  3.8155e-01  7.6687e-01  9.7258e-01
  1.0058e+00  1.0002e+00  9.9745e-01  6.5898e-01  1.5341e-01 -9.7380e-03

 output for time t = 2.00000e-01  current h = 4.10650e-02  current order = 3
 -9.1065e-03  1.1955e-02  1.0442e-01  3.2922e-01  6.1870e-01  8.5648e-01
  9.7954e-01  1.0024e+00  1.0020e+00  7.7523e-01  3.0442e-01  2.4723e-02

 output for time t = 3.00000e-01  current h = 4.10650e-02  current order = 3
 -3.8401e-03  2.3248e-02  1.1677e-01  2.9534e-01  5.2564e-01  7.4566e-01
  9.0707e-01  9.8376e-01  1.0045e+00  8.6211e-01  4.4988e-01  8.9881e-02

 output for time t = 4.00000e-01  current h = 6.75720e-02  current order = 3
  1.6118e-02  3.2335e-02  1.2184e-01  2.7135e-01  4.6171e-01  6.5676e-01
  8.2354e-01  9.3627e-01  9.9147e-01  9.2224e-01  5.8532e-01  1.8105e-01


final statistics for mf = 421:    13 steps,    18 res,     4 jacobians,
                     rw size =   337,    iw size =    79
                       0 extra res for each jac,   4 decomps
final output is correct to within  4.09e-01  times local error tolerance.




*************************************************************************************


run with itol = 1  rtol =    1.00e-03  atol =    1.00e-03   mf = 422


 output for time t = 1.00000e-01  current h = 4.10649e-02  current order = 3
 -1.6795e-03 -3.5501e-03  7.8147e-02  3.8155e-01  7.6687e-01  9.7258e-01
  1.0058e+00  1.0002e+00  9.9745e-01  6.5898e-01  1.5341e-01 -9.7380e-03

 output for time t = 2.00000e-01  current h = 4.10649e-02  current order = 3
 -9.1065e-03  1.1955e-02  1.0442e-01  3.2922e-01  6.1870e-01  8.5648e-01
  9.7954e-01  1.0024e+00  1.0020e+00  7.7523e-01  3.0442e-01  2.4723e-02

 output for time t = 3.00000e-01  current h = 4.10649e-02  current order = 3
 -3.8401e-03  2.3248e-02  1.1677e-01  2.9534e-01  5.2564e-01  7.4566e-01
  9.0707e-01  9.8376e-01  1.0045e+00  8.6211e-01  4.4988e-01  8.9881e-02

 output for time t = 4.00000e-01  current h = 6.75719e-02  current order = 3
  1.6118e-02  3.2335e-02  1.2184e-01  2.7135e-01  4.6171e-01  6.5676e-01
  8.2354e-01  9.3627e-01  9.9147e-01  9.2224e-01  5.8532e-01  1.8105e-01


final statistics for mf = 422:    13 steps,    34 res,     4 jacobians,
                     rw size =   345,    iw size =    79
                       3 extra res for each jac,   4 decomps
final output is correct to within  4.09e-01  times local error tolerance.




*************************************************************************************


run with itol = 1  rtol =    1.00e-06  atol =    1.00e-06   mf =  11


 output for time t = 1.00000e-01  current h = 1.77173e-02  current order = 5
 -1.6663e-03 -3.5624e-03  7.8076e-02  3.8174e-01  7.6718e-01  9.7183e-01
  1.0057e+00  1.0007e+00  9.9727e-01  6.5901e-01  1.5343e-01 -9.7557e-03

 output for time t = 2.00000e-01  current h = 1.77173e-02  current order = 5
 -8.5139e-03  1.1072e-02  1.0539e-01  3.2794e-01  6.1904e-01  8.5861e-01
  9.7733e-01  1.0026e+00  1.0023e+00  7.7544e-01  3.0447e-01  2.4390e-02

 output for time t = 3.00000e-01  current h = 2.49798e-02  current order = 5
 -3.7719e-03  2.3050e-02  1.1707e-01  2.9468e-01  5.2506e-01  7.4753e-01
  9.0727e-01  9.8231e-01  1.0044e+00  8.6262e-01  4.4994e-01  8.9818e-02

 output for time t = 4.00000e-01  current h = 3.40404e-02  current order = 5
  1.6058e-02  3.2307e-02  1.2190e-01  2.7094e-01  4.6095e-01  6.5757e-01
  8.2515e-01  9.3565e-01  9.9017e-01  9.2242e-01  5.8577e-01  1.8111e-01


final statistics for mf =  11:    28 steps,    38 res,     7 jacobians,
                     rw size =   421,    iw size =   128
                       0 extra res for each jac,   7 decomps
final output is correct to within  4.08e-01  times local error tolerance.




*************************************************************************************


run with itol = 1  rtol =    1.00e-06  atol =    1.00e-06   mf =  12


 output for time t = 1.00000e-01  current h = 1.77173e-02  current order = 5
 -1.6663e-03 -3.5624e-03  7.8076e-02  3.8174e-01  7.6718e-01  9.7183e-01
  1.0057e+00  1.0007e+00  9.9727e-01  6.5901e-01  1.5343e-01 -9.7557e-03

 output for time t = 2.00000e-01  current h = 1.77173e-02  current order = 5
 -8.5139e-03  1.1072e-02  1.0539e-01  3.2794e-01  6.1904e-01  8.5861e-01
  9.7733e-01  1.0026e+00  1.0023e+00  7.7544e-01  3.0447e-01  2.4390e-02

 output for time t = 3.00000e-01  current h = 2.49798e-02  current order = 5
 -3.7719e-03  2.3050e-02  1.1707e-01  2.9468e-01  5.2506e-01  7.4753e-01
  9.0727e-01  9.8231e-01  1.0044e+00  8.6262e-01  4.4994e-01  8.9818e-02

 output for time t = 4.00000e-01  current h = 3.40404e-02  current order = 5
  1.6058e-02  3.2307e-02  1.2190e-01  2.7094e-01  4.6095e-01  6.5757e-01
  8.2515e-01  9.3565e-01  9.9017e-01  9.2242e-01  5.8577e-01  1.8111e-01


final statistics for mf =  12:    28 steps,    66 res,     7 jacobians,
                     rw size =   429,    iw size =   128
                       3 extra res for each jac,   7 decomps
final output is correct to within  4.08e-01  times local error tolerance.




*************************************************************************************


run with itol = 1  rtol =    1.00e-06  atol =    1.00e-06   mf =  21


 output for time t = 1.00000e-01  current h = 9.11354e-03  current order = 4
 -1.6657e-03 -3.5632e-03  7.8077e-02  3.8174e-01  7.6718e-01  9.7183e-01
  1.0057e+00  1.0007e+00  9.9727e-01  6.5901e-01  1.5343e-01 -9.7560e-03

 output for time t = 2.00000e-01  current h = 1.86604e-02  current order = 5
 -8.5138e-03  1.1072e-02  1.0539e-01  3.2794e-01  6.1904e-01  8.5861e-01
  9.7733e-01  1.0026e+00  1.0023e+00  7.7544e-01  3.0447e-01  2.4390e-02

 output for time t = 3.00000e-01  current h = 1.86604e-02  current order = 5
 -3.7721e-03  2.3050e-02  1.1707e-01  2.9468e-01  5.2506e-01  7.4752e-01
  9.0727e-01  9.8231e-01  1.0044e+00  8.6262e-01  4.4994e-01  8.9818e-02

 output for time t = 4.00000e-01  current h = 2.29445e-02  current order = 5
  1.6058e-02  3.2307e-02  1.2190e-01  2.7094e-01  4.6095e-01  6.5757e-01
  8.2516e-01  9.3565e-01  9.9016e-01  9.2242e-01  5.8577e-01  1.8111e-01


final statistics for mf =  21:    40 steps,    49 res,     7 jacobians,
                     rw size =   337,    iw size =   128
                       0 extra res for each jac,   7 decomps
final output is correct to within  1.01e+00  times local error tolerance.




*************************************************************************************


run with itol = 1  rtol =    1.00e-06  atol =    1.00e-06   mf =  22


 output for time t = 1.00000e-01  current h = 9.11354e-03  current order = 4
 -1.6657e-03 -3.5632e-03  7.8077e-02  3.8174e-01  7.6718e-01  9.7183e-01
  1.0057e+00  1.0007e+00  9.9727e-01  6.5901e-01  1.5343e-01 -9.7560e-03

 output for time t = 2.00000e-01  current h = 1.86604e-02  current order = 5
 -8.5138e-03  1.1072e-02  1.0539e-01  3.2794e-01  6.1904e-01  8.5861e-01
  9.7733e-01  1.0026e+00  1.0023e+00  7.7544e-01  3.0447e-01  2.4390e-02

 output for time t = 3.00000e-01  current h = 1.86604e-02  current order = 5
 -3.7721e-03  2.3050e-02  1.1707e-01  2.9468e-01  5.2506e-01  7.4752e-01
  9.0727e-01  9.8231e-01  1.0044e+00  8.6262e-01  4.4994e-01  8.9818e-02

 output for time t = 4.00000e-01  current h = 2.29445e-02  current order = 5
  1.6058e-02  3.2307e-02  1.2190e-01  2.7094e-01  4.6095e-01  6.5757e-01
  8.2516e-01  9.3565e-01  9.9016e-01  9.2242e-01  5.8577e-01  1.8111e-01


final statistics for mf =  22:    40 steps,    77 res,     7 jacobians,
                     rw size =   345,    iw size =   128
                       3 extra res for each jac,   7 decomps
final output is correct to within  1.01e+00  times local error tolerance.




*************************************************************************************


run with itol = 1  rtol =    1.00e-06  atol =    1.00e-06   mf = 111


 output for time t = 1.00000e-01  current h = 1.77173e-02  current order = 5
 -1.6663e-03 -3.5624e-03  7.8076e-02  3.8174e-01  7.6718e-01  9.7183e-01
  1.0057e+00  1.0007e+00  9.9727e-01  6.5901e-01  1.5343e-01 -9.7557e-03

 output for time t = 2.00000e-01  current h = 1.77173e-02  current order = 5
 -8.5139e-03  1.1072e-02  1.0539e-01  3.2794e-01  6.1904e-01  8.5861e-01
  9.7733e-01  1.0026e+00  1.0023e+00  7.7544e-01  3.0447e-01  2.4390e-02

 output for time t = 3.00000e-01  current h = 2.49798e-02  current order = 5
 -3.7719e-03  2.3050e-02  1.1707e-01  2.9468e-01  5.2506e-01  7.4753e-01
  9.0727e-01  9.8231e-01  1.0044e+00  8.6262e-01  4.4994e-01  8.9818e-02

 output for time t = 4.00000e-01  current h = 3.40404e-02  current order = 5
  1.6058e-02  3.2307e-02  1.2190e-01  2.7094e-01  4.6095e-01  6.5757e-01
  8.2515e-01  9.3565e-01  9.9017e-01  9.2242e-01  5.8577e-01  1.8111e-01


final statistics for mf = 111:    28 steps,    38 res,     7 jacobians,
                     rw size =   421,    iw size =    30
                       0 extra res for each jac,   7 decomps
final output is correct to within  4.08e-01  times local error tolerance.




*************************************************************************************


run with itol = 1  rtol =    1.00e-06  atol =    1.00e-06   mf = 112


 output for time t = 1.00000e-01  current h = 1.77173e-02  current order = 5
 -1.6663e-03 -3.5624e-03  7.8076e-02  3.8174e-01  7.6718e-01  9.7183e-01
  1.0057e+00  1.0007e+00  9.9727e-01  6.5901e-01  1.5343e-01 -9.7557e-03

 output for time t = 2.00000e-01  current h = 1.77173e-02  current order = 5
 -8.5139e-03  1.1072e-02  1.0539e-01  3.2794e-01  6.1904e-01  8.5861e-01
  9.7733e-01  1.0026e+00  1.0023e+00  7.7544e-01  3.0447e-01  2.4390e-02

 output for time t = 3.00000e-01  current h = 2.49798e-02  current order = 5
 -3.7719e-03  2.3050e-02  1.1707e-01  2.9468e-01  5.2506e-01  7.4753e-01
  9.0727e-01  9.8231e-01  1.0044e+00  8.6262e-01  4.4994e-01  8.9818e-02

 output for time t = 4.00000e-01  current h = 3.40404e-02  current order = 5
  1.6058e-02  3.2307e-02  1.2190e-01  2.7094e-01  4.6095e-01  6.5757e-01
  8.2515e-01  9.3565e-01  9.9017e-01  9.2242e-01  5.8577e-01  1.8111e-01


final statistics for mf = 112:    28 steps,    66 res,     7 jacobians,
                     rw size =   429,    iw size =    30
                       3 extra res for each jac,   7 decomps
final output is correct to within  4.08e-01  times local error tolerance.




*************************************************************************************


run with itol = 1  rtol =    1.00e-06  atol =    1.00e-06   mf = 121


 output for time t = 1.00000e-01  current h = 9.11354e-03  current order = 4
 -1.6657e-03 -3.5632e-03  7.8077e-02  3.8174e-01  7.6718e-01  9.7183e-01
  1.0057e+00  1.0007e+00  9.9727e-01  6.5901e-01  1.5343e-01 -9.7560e-03

 output for time t = 2.00000e-01  current h = 1.86604e-02  current order = 5
 -8.5138e-03  1.1072e-02  1.0539e-01  3.2794e-01  6.1904e-01  8.5861e-01
  9.7733e-01  1.0026e+00  1.0023e+00  7.7544e-01  3.0447e-01  2.4390e-02

 output for time t = 3.00000e-01  current h = 1.86604e-02  current order = 5
 -3.7721e-03  2.3050e-02  1.1707e-01  2.9468e-01  5.2506e-01  7.4752e-01
  9.0727e-01  9.8231e-01  1.0044e+00  8.6262e-01  4.4994e-01  8.9818e-02

 output for time t = 4.00000e-01  current h = 2.29445e-02  current order = 5
  1.6058e-02  3.2307e-02  1.2190e-01  2.7094e-01  4.6095e-01  6.5757e-01
  8.2516e-01  9.3565e-01  9.9016e-01  9.2242e-01  5.8577e-01  1.8111e-01


final statistics for mf = 121:    40 steps,    49 res,     7 jacobians,
                     rw size =   337,    iw size =    30
                       0 extra res for each jac,   7 decomps
final output is correct to within  1.01e+00  times local error tolerance.




*************************************************************************************


run with itol = 1  rtol =    1.00e-06  atol =    1.00e-06   mf = 122


 output for time t = 1.00000e-01  current h = 9.11354e-03  current order = 4
 -1.6657e-03 -3.5632e-03  7.8077e-02  3.8174e-01  7.6718e-01  9.7183e-01
  1.0057e+00  1.0007e+00  9.9727e-01  6.5901e-01  1.5343e-01 -9.7560e-03

 output for time t = 2.00000e-01  current h = 1.86604e-02  current order = 5
 -8.5138e-03  1.1072e-02  1.0539e-01  3.2794e-01  6.1904e-01  8.5861e-01
  9.7733e-01  1.0026e+00  1.0023e+00  7.7544e-01  3.0447e-01  2.4390e-02

 output for time t = 3.00000e-01  current h = 1.86604e-02  current order = 5
 -3.7721e-03  2.3050e-02  1.1707e-01  2.9468e-01  5.2506e-01  7.4752e-01
  9.0727e-01  9.8231e-01  1.0044e+00  8.6262e-01  4.4994e-01  8.9818e-02

 output for time t = 4.00000e-01  current h = 2.29445e-02  current order = 5
  1.6058e-02  3.2307e-02  1.2190e-01  2.7094e-01  4.6095e-01  6.5757e-01
  8.2516e-01  9.3565e-01  9.9016e-01  9.2242e-01  5.8577e-01  1.8111e-01


final statistics for mf = 122:    40 steps,    77 res,     7 jacobians,
                     rw size =   345,    iw size =    30
                       3 extra res for each jac,   7 decomps
final output is correct to within  1.01e+00  times local error tolerance.




*************************************************************************************


run with itol = 1  rtol =    1.00e-06  atol =    1.00e-06   mf = 211


 output for time t = 1.00000e-01  current h = 1.77173e-02  current order = 5
 -1.6663e-03 -3.5624e-03  7.8076e-02  3.8174e-01  7.6718e-01  9.7183e-01
  1.0057e+00  1.0007e+00  9.9727e-01  6.5901e-01  1.5343e-01 -9.7557e-03

 output for time t = 2.00000e-01  current h = 1.77173e-02  current order = 5
 -8.5139e-03  1.1072e-02  1.0539e-01  3.2794e-01  6.1904e-01  8.5861e-01
  9.7733e-01  1.0026e+00  1.0023e+00  7.7544e-01  3.0447e-01  2.4390e-02

 output for time t = 3.00000e-01  current h = 2.49798e-02  current order = 5
 -3.7719e-03  2.3050e-02  1.1707e-01  2.9468e-01  5.2506e-01  7.4753e-01
  9.0727e-01  9.8231e-01  1.0044e+00  8.6262e-01  4.4994e-01  8.9818e-02

 output for time t = 4.00000e-01  current h = 3.40404e-02  current order = 5
  1.6058e-02  3.2307e-02  1.2190e-01  2.7094e-01  4.6095e-01  6.5757e-01
  8.2515e-01  9.3565e-01  9.9017e-01  9.2242e-01  5.8577e-01  1.8111e-01


final statistics for mf = 211:    28 steps,    38 res,     7 jacobians,
                     rw size =   421,    iw size =    30
                       0 extra res for each jac,   7 decomps
final output is correct to within  4.08e-01  times local error tolerance.




*************************************************************************************


run with itol = 1  rtol =    1.00e-06  atol =    1.00e-06   mf = 212


 output for time t = 1.00000e-01  current h = 1.77173e-02  current order = 5
 -1.6663e-03 -3.5624e-03  7.8076e-02  3.8174e-01  7.6718e-01  9.7183e-01
  1.0057e+00  1.0007e+00  9.9727e-01  6.5901e-01  1.5343e-01 -9.7557e-03

 output for time t = 2.00000e-01  current h = 1.77173e-02  current order = 5
 -8.5139e-03  1.1072e-02  1.0539e-01  3.2794e-01  6.1904e-01  8.5861e-01
  9.7733e-01  1.0026e+00  1.0023e+00  7.7544e-01  3.0447e-01  2.4390e-02

 output for time t = 3.00000e-01  current h = 2.49798e-02  current order = 5
 -3.7719e-03  2.3050e-02  1.1707e-01  2.9468e-01  5.2506e-01  7.4753e-01
  9.0727e-01  9.8231e-01  1.0044e+00  8.6262e-01  4.4994e-01  8.9818e-02

 output for time t = 4.00000e-01  current h = 3.40404e-02  current order = 5
  1.6058e-02  3.2307e-02  1.2190e-01  2.7094e-01  4.6095e-01  6.5757e-01
  8.2515e-01  9.3565e-01  9.9017e-01  9.2242e-01  5.8577e-01  1.8111e-01


final statistics for mf = 212:    28 steps,    66 res,     7 jacobians,
                     rw size =   429,    iw size =    30
                       3 extra res for each jac,   7 decomps
final output is correct to within  4.08e-01  times local error tolerance.




*************************************************************************************


run with itol = 1  rtol =    1.00e-06  atol =    1.00e-06   mf = 221


 output for time t = 1.00000e-01  current h = 9.11354e-03  current order = 4
 -1.6657e-03 -3.5632e-03  7.8077e-02  3.8174e-01  7.6718e-01  9.7183e-01
  1.0057e+00  1.0007e+00  9.9727e-01  6.5901e-01  1.5343e-01 -9.7560e-03

 output for time t = 2.00000e-01  current h = 1.86604e-02  current order = 5
 -8.5138e-03  1.1072e-02  1.0539e-01  3.2794e-01  6.1904e-01  8.5861e-01
  9.7733e-01  1.0026e+00  1.0023e+00  7.7544e-01  3.0447e-01  2.4390e-02

 output for time t = 3.00000e-01  current h = 1.86604e-02  current order = 5
 -3.7721e-03  2.3050e-02  1.1707e-01  2.9468e-01  5.2506e-01  7.4752e-01
  9.0727e-01  9.8231e-01  1.0044e+00  8.6262e-01  4.4994e-01  8.9818e-02

 output for time t = 4.00000e-01  current h = 2.29445e-02  current order = 5
  1.6058e-02  3.2307e-02  1.2190e-01  2.7094e-01  4.6095e-01  6.5757e-01
  8.2516e-01  9.3565e-01  9.9016e-01  9.2242e-01  5.8577e-01  1.8111e-01


final statistics for mf = 221:    40 steps,    49 res,     7 jacobians,
                     rw size =   337,    iw size =    30
                       0 extra res for each jac,   7 decomps
final output is correct to within  1.01e+00  times local error tolerance.




*************************************************************************************


run with itol = 1  rtol =    1.00e-06  atol =    1.00e-06   mf = 222


 output for time t = 1.00000e-01  current h = 9.11354e-03  current order = 4
 -1.6657e-03 -3.5632e-03  7.8077e-02  3.8174e-01  7.6718e-01  9.7183e-01
  1.0057e+00  1.0007e+00  9.9727e-01  6.5901e-01  1.5343e-01 -9.7560e-03

 output for time t = 2.00000e-01  current h = 1.86604e-02  current order = 5
 -8.5138e-03  1.1072e-02  1.0539e-01  3.2794e-01  6.1904e-01  8.5861e-01
  9.7733e-01  1.0026e+00  1.0023e+00  7.7544e-01  3.0447e-01  2.4390e-02

 output for time t = 3.00000e-01  current h = 1.86604e-02  current order = 5
 -3.7721e-03  2.3050e-02  1.1707e-01  2.9468e-01  5.2506e-01  7.4752e-01
  9.0727e-01  9.8231e-01  1.0044e+00  8.6262e-01  4.4994e-01  8.9818e-02

 output for time t = 4.00000e-01  current h = 2.29445e-02  current order = 5
  1.6058e-02  3.2307e-02  1.2190e-01  2.7094e-01  4.6095e-01  6.5757e-01
  8.2516e-01  9.3565e-01  9.9016e-01  9.2242e-01  5.8577e-01  1.8111e-01


final statistics for mf = 222:    40 steps,    77 res,     7 jacobians,
                     rw size =   345,    iw size =    30
                       3 extra res for each jac,   7 decomps
final output is correct to within  1.01e+00  times local error tolerance.




*************************************************************************************


run with itol = 1  rtol =    1.00e-06  atol =    1.00e-06   mf = 311


 output for time t = 1.00000e-01  current h = 1.77173e-02  current order = 5
 -1.6663e-03 -3.5624e-03  7.8076e-02  3.8174e-01  7.6718e-01  9.7183e-01
  1.0057e+00  1.0007e+00  9.9727e-01  6.5901e-01  1.5343e-01 -9.7557e-03

 output for time t = 2.00000e-01  current h = 1.77173e-02  current order = 5
 -8.5139e-03  1.1072e-02  1.0539e-01  3.2794e-01  6.1904e-01  8.5861e-01
  9.7733e-01  1.0026e+00  1.0023e+00  7.7544e-01  3.0447e-01  2.4390e-02

 output for time t = 3.00000e-01  current h = 2.49798e-02  current order = 5
 -3.7719e-03  2.3050e-02  1.1707e-01  2.9468e-01  5.2506e-01  7.4753e-01
  9.0727e-01  9.8231e-01  1.0044e+00  8.6262e-01  4.4994e-01  8.9818e-02

 output for time t = 4.00000e-01  current h = 3.40404e-02  current order = 5
  1.6058e-02  3.2307e-02  1.2190e-01  2.7094e-01  4.6095e-01  6.5757e-01
  8.2515e-01  9.3565e-01  9.9017e-01  9.2242e-01  5.8577e-01  1.8111e-01


final statistics for mf = 311:    28 steps,    38 res,     7 jacobians,
                     rw size =   421,    iw size =    79
                       0 extra res for each jac,   7 decomps
final output is correct to within  4.08e-01  times local error tolerance.




*************************************************************************************


run with itol = 1  rtol =    1.00e-06  atol =    1.00e-06   mf = 312


 output for time t = 1.00000e-01  current h = 1.77173e-02  current order = 5
 -1.6663e-03 -3.5624e-03  7.8076e-02  3.8174e-01  7.6718e-01  9.7183e-01
  1.0057e+00  1.0007e+00  9.9727e-01  6.5901e-01  1.5343e-01 -9.7557e-03

 output for time t = 2.00000e-01  current h = 1.77173e-02  current order = 5
 -8.5139e-03  1.1072e-02  1.0539e-01  3.2794e-01  6.1904e-01  8.5861e-01
  9.7733e-01  1.0026e+00  1.0023e+00  7.7544e-01  3.0447e-01  2.4390e-02

 output for time t = 3.00000e-01  current h = 2.49798e-02  current order = 5
 -3.7719e-03  2.3050e-02  1.1707e-01  2.9468e-01  5.2506e-01  7.4753e-01
  9.0727e-01  9.8231e-01  1.0044e+00  8.6262e-01  4.4994e-01  8.9818e-02

 output for time t = 4.00000e-01  current h = 3.40404e-02  current order = 5
  1.6058e-02  3.2307e-02  1.2190e-01  2.7094e-01  4.6095e-01  6.5757e-01
  8.2515e-01  9.3565e-01  9.9017e-01  9.2242e-01  5.8577e-01  1.8111e-01


final statistics for mf = 312:    28 steps,    66 res,     7 jacobians,
                     rw size =   429,    iw size =    79
                       3 extra res for each jac,   7 decomps
final output is correct to within  4.08e-01  times local error tolerance.




*************************************************************************************


run with itol = 1  rtol =    1.00e-06  atol =    1.00e-06   mf = 321


 output for time t = 1.00000e-01  current h = 9.11354e-03  current order = 4
 -1.6657e-03 -3.5632e-03  7.8077e-02  3.8174e-01  7.6718e-01  9.7183e-01
  1.0057e+00  1.0007e+00  9.9727e-01  6.5901e-01  1.5343e-01 -9.7560e-03

 output for time t = 2.00000e-01  current h = 1.86604e-02  current order = 5
 -8.5138e-03  1.1072e-02  1.0539e-01  3.2794e-01  6.1904e-01  8.5861e-01
  9.7733e-01  1.0026e+00  1.0023e+00  7.7544e-01  3.0447e-01  2.4390e-02

 output for time t = 3.00000e-01  current h = 1.86604e-02  current order = 5
 -3.7721e-03  2.3050e-02  1.1707e-01  2.9468e-01  5.2506e-01  7.4752e-01
  9.0727e-01  9.8231e-01  1.0044e+00  8.6262e-01  4.4994e-01  8.9818e-02

 output for time t = 4.00000e-01  current h = 2.29445e-02  current order = 5
  1.6058e-02  3.2307e-02  1.2190e-01  2.7094e-01  4.6095e-01  6.5757e-01
  8.2516e-01  9.3565e-01  9.9016e-01  9.2242e-01  5.8577e-01  1.8111e-01


final statistics for mf = 321:    40 steps,    49 res,     7 jacobians,
                     rw size =   337,    iw size =    79
                       0 extra res for each jac,   7 decomps
final output is correct to within  1.01e+00  times local error tolerance.




*************************************************************************************


run with itol = 1  rtol =    1.00e-06  atol =    1.00e-06   mf = 322


 output for time t = 1.00000e-01  current h = 9.11354e-03  current order = 4
 -1.6657e-03 -3.5632e-03  7.8077e-02  3.8174e-01  7.6718e-01  9.7183e-01
  1.0057e+00  1.0007e+00  9.9727e-01  6.5901e-01  1.5343e-01 -9.7560e-03

 output for time t = 2.00000e-01  current h = 1.86604e-02  current order = 5
 -8.5138e-03  1.1072e-02  1.0539e-01  3.2794e-01  6.1904e-01  8.5861e-01
  9.7733e-01  1.0026e+00  1.0023e+00  7.7544e-01  3.0447e-01  2.4390e-02

 output for time t = 3.00000e-01  current h = 1.86604e-02  current order = 5
 -3.7721e-03  2.3050e-02  1.1707e-01  2.9468e-01  5.2506e-01  7.4752e-01
  9.0727e-01  9.8231e-01  1.0044e+00  8.6262e-01  4.4994e-01  8.9818e-02

 output for time t = 4.00000e-01  current h = 2.29445e-02  current order = 5
  1.6058e-02  3.2307e-02  1.2190e-01  2.7094e-01  4.6095e-01  6.5757e-01
  8.2516e-01  9.3565e-01  9.9016e-01  9.2242e-01  5.8577e-01  1.8111e-01


final statistics for mf = 322:    40 steps,    77 res,     7 jacobians,
                     rw size =   345,    iw size =    79
                       3 extra res for each jac,   7 decomps
final output is correct to within  1.01e+00  times local error tolerance.




*************************************************************************************


run with itol = 1  rtol =    1.00e-06  atol =    1.00e-06   mf = 411


 output for time t = 1.00000e-01  current h = 1.77173e-02  current order = 5
 -1.6663e-03 -3.5624e-03  7.8076e-02  3.8174e-01  7.6718e-01  9.7183e-01
  1.0057e+00  1.0007e+00  9.9727e-01  6.5901e-01  1.5343e-01 -9.7557e-03

 output for time t = 2.00000e-01  current h = 1.77173e-02  current order = 5
 -8.5139e-03  1.1072e-02  1.0539e-01  3.2794e-01  6.1904e-01  8.5861e-01
  9.7733e-01  1.0026e+00  1.0023e+00  7.7544e-01  3.0447e-01  2.4390e-02

 output for time t = 3.00000e-01  current h = 2.49798e-02  current order = 5
 -3.7719e-03  2.3050e-02  1.1707e-01  2.9468e-01  5.2506e-01  7.4753e-01
  9.0727e-01  9.8231e-01  1.0044e+00  8.6262e-01  4.4994e-01  8.9818e-02

 output for time t = 4.00000e-01  current h = 3.40404e-02  current order = 5
  1.6058e-02  3.2307e-02  1.2190e-01  2.7094e-01  4.6095e-01  6.5757e-01
  8.2515e-01  9.3565e-01  9.9017e-01  9.2242e-01  5.8577e-01  1.8111e-01


final statistics for mf = 411:    28 steps,    38 res,     7 jacobians,
                     rw size =   421,    iw size =    79
                       0 extra res for each jac,   7 decomps
final output is correct to within  4.08e-01  times local error tolerance.




*************************************************************************************


run with itol = 1  rtol =    1.00e-06  atol =    1.00e-06   mf = 412


 output for time t = 1.00000e-01  current h = 1.77173e-02  current order = 5
 -1.6663e-03 -3.5624e-03  7.8076e-02  3.8174e-01  7.6718e-01  9.7183e-01
  1.0057e+00  1.0007e+00  9.9727e-01  6.5901e-01  1.5343e-01 -9.7557e-03

 output for time t = 2.00000e-01  current h = 1.77173e-02  current order = 5
 -8.5139e-03  1.1072e-02  1.0539e-01  3.2794e-01  6.1904e-01  8.5861e-01
  9.7733e-01  1.0026e+00  1.0023e+00  7.7544e-01  3.0447e-01  2.4390e-02

 output for time t = 3.00000e-01  current h = 2.49798e-02  current order = 5
 -3.7719e-03  2.3050e-02  1.1707e-01  2.9468e-01  5.2506e-01  7.4753e-01
  9.0727e-01  9.8231e-01  1.0044e+00  8.6262e-01  4.4994e-01  8.9818e-02

 output for time t = 4.00000e-01  current h = 3.40404e-02  current order = 5
  1.6058e-02  3.2307e-02  1.2190e-01  2.7094e-01  4.6095e-01  6.5757e-01
  8.2515e-01  9.3565e-01  9.9017e-01  9.2242e-01  5.8577e-01  1.8111e-01


final statistics for mf = 412:    28 steps,    66 res,     7 jacobians,
                     rw size =   429,    iw size =    79
                       3 extra res for each jac,   7 decomps
final output is correct to within  4.08e-01  times local error tolerance.




*************************************************************************************


run with itol = 1  rtol =    1.00e-06  atol =    1.00e-06   mf = 421


 output for time t = 1.00000e-01  current h = 9.11354e-03  current order = 4
 -1.6657e-03 -3.5632e-03  7.8077e-02  3.8174e-01  7.6718e-01  9.7183e-01
  1.0057e+00  1.0007e+00  9.9727e-01  6.5901e-01  1.5343e-01 -9.7560e-03

 output for time t = 2.00000e-01  current h = 1.86604e-02  current order = 5
 -8.5138e-03  1.1072e-02  1.0539e-01  3.2794e-01  6.1904e-01  8.5861e-01
  9.7733e-01  1.0026e+00  1.0023e+00  7.7544e-01  3.0447e-01  2.4390e-02

 output for time t = 3.00000e-01  current h = 1.86604e-02  current order = 5
 -3.7721e-03  2.3050e-02  1.1707e-01  2.9468e-01  5.2506e-01  7.4752e-01
  9.0727e-01  9.8231e-01  1.0044e+00  8.6262e-01  4.4994e-01  8.9818e-02

 output for time t = 4.00000e-01  current h = 2.29445e-02  current order = 5
  1.6058e-02  3.2307e-02  1.2190e-01  2.7094e-01  4.6095e-01  6.5757e-01
  8.2516e-01  9.3565e-01  9.9016e-01  9.2242e-01  5.8577e-01  1.8111e-01


final statistics for mf = 421:    40 steps,    49 res,     7 jacobians,
                     rw size =   337,    iw size =    79
                       0 extra res for each jac,   7 decomps
final output is correct to within  1.01e+00  times local error tolerance.




*************************************************************************************


run with itol = 1  rtol =    1.00e-06  atol =    1.00e-06   mf = 422


 output for time t = 1.00000e-01  current h = 9.11354e-03  current order = 4
 -1.6657e-03 -3.5632e-03  7.8077e-02  3.8174e-01  7.6718e-01  9.7183e-01
  1.0057e+00  1.0007e+00  9.9727e-01  6.5901e-01  1.5343e-01 -9.7560e-03

 output for time t = 2.00000e-01  current h = 1.86604e-02  current order = 5
 -8.5138e-03  1.1072e-02  1.0539e-01  3.2794e-01  6.1904e-01  8.5861e-01
  9.7733e-01  1.0026e+00  1.0023e+00  7.7544e-01  3.0447e-01  2.4390e-02

 output for time t = 3.00000e-01  current h = 1.86604e-02  current order = 5
 -3.7721e-03  2.3050e-02  1.1707e-01  2.9468e-01  5.2506e-01  7.4752e-01
  9.0727e-01  9.8231e-01  1.0044e+00  8.6262e-01  4.4994e-01  8.9818e-02

 output for time t = 4.00000e-01  current h = 2.29445e-02  current order = 5
  1.6058e-02  3.2307e-02  1.2190e-01  2.7094e-01  4.6095e-01  6.5757e-01
  8.2516e-01  9.3565e-01  9.9016e-01  9.2242e-01  5.8577e-01  1.8111e-01


final statistics for mf = 422:    40 steps,    77 res,     7 jacobians,
                     rw size =   345,    iw size =    79
                       3 extra res for each jac,   7 decomps
final output is correct to within  1.01e+00  times local error tolerance.




*************************************************************************************

run completed: number of errors encountered =  0
rc= 0
** odepack/dlsoibt.f

                     demonstration problem for dlsoibt

          galerkin method solution of system of 3 pdes:

            u(i)   =  -(u(1)+u(2)+u(3)) u(i)   +  eta(i) u(i)     (i=1,2,3)
                t                           x                xx

          x interval is -1 to 1,  zero boundary conditions
          x discretized using piecewise linear basis functions

          fixed parameters are as follows:
             diffusion coefficients are eta =  1.00e-01  2.00e-02  1.00e-02
             t0 =  0.00000e+00
             tlast =  4.00000e-01
             uniform mesh, number of intervals = 100
             block size mb = 3
             number of blocks nb =  99
             ode system size neq =  297



initial profiles:

 values of pde component i =  1
  0.0000e+00  0.0000e+00  0.0000e+00  0.0000e+00  0.0000e+00  0.0000e+00  0.0000e+00
  0.0000e+00  0.0000e+00  0.0000e+00  0.0000e+00  0.0000e+00  0.0000e+00  0.0000e+00
  0.0000e+00  0.0000e+00  0.0000e+00  0.0000e+00  0.0000e+00  0.0000e+00  0.0000e+00
  0.0000e+00  0.0000e+00  0.0000e+00  1.0000e-01  2.0000e-01  2.0000e-01  2.0000e-01
  2.0000e-01  2.0000e-01  2.0000e-01  2.0000e-01  2.0000e-01  2.0000e-01  2.0000e-01
  2.0000e-01  2.0000e-01  2.0000e-01  2.0000e-01  2.0000e-01  2.0000e-01  2.0000e-01
  2.0000e-01  2.0000e-01  2.0000e-01  2.0000e-01  2.0000e-01  2.0000e-01  2.0000e-01
  2.0000e-01  2.0000e-01  2.0000e-01  2.0000e-01  2.0000e-01  2.0000e-01  2.0000e-01
  2.0000e-01  2.0000e-01  2.0000e-01  2.0000e-01  2.0000e-01  2.0000e-01  2.0000e-01
  2.0000e-01  2.0000e-01  2.0000e-01  2.0000e-01  2.0000e-01  2.0000e-01  2.0000e-01
  2.0000e-01  2.0000e-01  2.0000e-01  2.0000e-01  1.0000e-01  0.0000e+00  0.0000e+00
  0.0000e+00  0.0000e+00  0.0000e+00  0.0000e+00  0.0000e+00  0.0000e+00  0.0000e+00
  0.0000e+00  0.0000e+00  0.0000e+00  0.0000e+00  0.0000e+00  0.0000e+00  0.0000e+00
  0.0000e+00  0.0000e+00  0.0000e+00  0.0000e+00  0.0000e+00  0.0000e+00  0.0000e+00
  0.0000e+00
 values of pde component i =  2
  0.0000e+00  0.0000e+00  0.0000e+00  0.0000e+00  0.0000e+00  0.0000e+00  0.0000e+00
  0.0000e+00  0.0000e+00  0.0000e+00  0.0000e+00  0.0000e+00  0.0000e+00  0.0000e+00
  0.0000e+00  0.0000e+00  0.0000e+00  0.0000e+00  0.0000e+00  0.0000e+00  0.0000e+00
  0.0000e+00  0.0000e+00  0.0000e+00  1.5000e-01  3.0000e-01  3.0000e-01  3.0000e-01
  3.0000e-01  3.0000e-01  3.0000e-01  3.0000e-01  3.0000e-01  3.0000e-01  3.0000e-01
  3.0000e-01  3.0000e-01  3.0000e-01  3.0000e-01  3.0000e-01  3.0000e-01  3.0000e-01
  3.0000e-01  3.0000e-01  3.0000e-01  3.0000e-01  3.0000e-01  3.0000e-01  3.0000e-01
  3.0000e-01  3.0000e-01  3.0000e-01  3.0000e-01  3.0000e-01  3.0000e-01  3.0000e-01
  3.0000e-01  3.0000e-01  3.0000e-01  3.0000e-01  3.0000e-01  3.0000e-01  3.0000e-01
  3.0000e-01  3.0000e-01  3.0000e-01  3.0000e-01  3.0000e-01  3.0000e-01  3.0000e-01
  3.0000e-01  3.0000e-01  3.0000e-01  3.0000e-01  1.5000e-01  0.0000e+00  0.0000e+00
  0.0000e+00  0.0000e+00  0.0000e+00  0.0000e+00  0.0000e+00  0.0000e+00  0.0000e+00
  0.0000e+00  0.0000e+00  0.0000e+00  0.0000e+00  0.0000e+00  0.0000e+00  0.0000e+00
  0.0000e+00  0.0000e+00  0.0000e+00  0.0000e+00  0.0000e+00  0.0000e+00  0.0000e+00
  0.0000e+00
 values of pde component i =  3
  0.0000e+00  0.0000e+00  0.0000e+00  0.0000e+00  0.0000e+00  0.0000e+00  0.0000e+00
  0.0000e+00  0.0000e+00  0.0000e+00  0.0000e+00  0.0000e+00  0.0000e+00  0.0000e+00
  0.0000e+00  0.0000e+00  0.0000e+00  0.0000e+00  0.0000e+00  0.0000e+00  0.0000e+00
  0.0000e+00  0.0000e+00  0.0000e+00  2.5000e-01  5.0000e-01  5.0000e-01  5.0000e-01
  5.0000e-01  5.0000e-01  5.0000e-01  5.0000e-01  5.0000e-01  5.0000e-01  5.0000e-01
  5.0000e-01  5.0000e-01  5.0000e-01  5.0000e-01  5.0000e-01  5.0000e-01  5.0000e-01
  5.0000e-01  5.0000e-01  5.0000e-01  5.0000e-01  5.0000e-01  5.0000e-01  5.0000e-01
  5.0000e-01  5.0000e-01  5.0000e-01  5.0000e-01  5.0000e-01  5.0000e-01  5.0000e-01
  5.0000e-01  5.0000e-01  5.0000e-01  5.0000e-01  5.0000e-01  5.0000e-01  5.0000e-01
  5.0000e-01  5.0000e-01  5.0000e-01  5.0000e-01  5.0000e-01  5.0000e-01  5.0000e-01
  5.0000e-01  5.0000e-01  5.0000e-01  5.0000e-01  2.5000e-01  0.0000e+00  0.0000e+00
  0.0000e+00  0.0000e+00  0.0000e+00  0.0000e+00  0.0000e+00  0.0000e+00  0.0000e+00
  0.0000e+00  0.0000e+00  0.0000e+00  0.0000e+00  0.0000e+00  0.0000e+00  0.0000e+00
  0.0000e+00  0.0000e+00  0.0000e+00  0.0000e+00  0.0000e+00  0.0000e+00  0.0000e+00
  0.0000e+00




******************************************************************************************

run with rtol =  1.0e-03  atol =  1.0e-03   mf = 11



 at time t = 1.00000e-01  current h = 2.23094e-02  current order = 2  current nst =   17

 at time t = 2.00000e-01  current h = 4.11105e-02  current order = 2  current nst =   20

 at time t = 3.00000e-01  current h = 5.10732e-02  current order = 2  current nst =   22

 at time t = 4.00000e-01  current h = 5.87346e-02  current order = 2  current nst =   24

 values of pde component i =  1
  1.7144e-03  3.4438e-03  5.2029e-03  7.0057e-03  8.8656e-03  1.0795e-02  1.2805e-02
  1.4904e-02  1.7101e-02  1.9401e-02  2.1808e-02  2.4326e-02  2.6951e-02  2.9681e-02
  3.2525e-02  3.5458e-02  3.8477e-02  4.1613e-02  4.4762e-02  4.8068e-02  5.1296e-02
  5.4750e-02  5.8075e-02  6.1521e-02  6.4969e-02  6.8463e-02  7.1914e-02  7.5315e-02
  7.8985e-02  8.2399e-02  8.5920e-02  8.9365e-02  9.2895e-02  9.6392e-02  9.9893e-02
  1.0340e-01  1.0689e-01  1.1038e-01  1.1387e-01  1.1737e-01  1.2086e-01  1.2436e-01
  1.2785e-01  1.3134e-01  1.3481e-01  1.3826e-01  1.4169e-01  1.4508e-01  1.4842e-01
  1.5169e-01  1.5490e-01  1.5801e-01  1.6101e-01  1.6390e-01  1.6665e-01  1.6924e-01
  1.7167e-01  1.7391e-01  1.7596e-01  1.7780e-01  1.7942e-01  1.8080e-01  1.8192e-01
  1.8279e-01  1.8336e-01  1.8364e-01  1.8361e-01  1.8323e-01  1.8253e-01  1.8136e-01
  1.7991e-01  1.7787e-01  1.7552e-01  1.7250e-01  1.6908e-01  1.6504e-01  1.6029e-01
  1.5483e-01  1.4880e-01  1.4239e-01  1.3484e-01  1.2657e-01  1.1765e-01  1.0824e-01
  9.8500e-02  8.8714e-02  7.9185e-02  7.0109e-02  6.1607e-02  5.3725e-02  4.6457e-02
  3.9768e-02  3.3607e-02  2.7917e-02  2.2635e-02  1.7695e-02  1.3030e-02  8.5716e-03
  4.2512e-03
 values of pde component i =  2
  7.7442e-06  1.8139e-05  3.4499e-05  6.1544e-05  1.0628e-04  1.7905e-04  2.9479e-04
  4.7437e-04  7.4598e-04  1.1462e-03  1.7206e-03  2.5235e-03  3.6172e-03  5.0683e-03
  6.9456e-03  9.3149e-03  1.2234e-02  1.5749e-02  1.9891e-02  2.4672e-02  3.0095e-02
  3.6127e-02  4.2752e-02  4.9910e-02  5.7552e-02  6.5650e-02  7.4095e-02  8.2881e-02
  9.1927e-02  1.0119e-01  1.1063e-01  1.2020e-01  1.2987e-01  1.3960e-01  1.4937e-01
  1.5917e-01  1.6897e-01  1.7874e-01  1.8847e-01  1.9812e-01  2.0764e-01  2.1697e-01
  2.2605e-01  2.3479e-01  2.4312e-01  2.5097e-01  2.5825e-01  2.6491e-01  2.7090e-01
  2.7620e-01  2.8081e-01  2.8473e-01  2.8801e-01  2.9071e-01  2.9289e-01  2.9463e-01
  2.9598e-01  2.9703e-01  2.9782e-01  2.9842e-01  2.9887e-01  2.9919e-01  2.9943e-01
  2.9960e-01  2.9972e-01  2.9980e-01  2.9986e-01  2.9990e-01  2.9992e-01  2.9992e-01
  2.9991e-01  2.9985e-01  2.9973e-01  2.9949e-01  2.9904e-01  2.9827e-01  2.9671e-01
  2.9374e-01  2.8903e-01  2.8170e-01  2.6996e-01  2.5050e-01  2.2236e-01  1.8674e-01
  1.4672e-01  1.0756e-01  7.4098e-02  4.8558e-02  3.0632e-02  1.8760e-02  1.1213e-02
  6.5595e-03  3.7621e-03  2.1171e-03  1.1693e-03  6.3306e-04  3.3380e-04  1.6666e-04
  6.8629e-05
 values of pde component i =  3
  9.9458e-08  2.1112e-07  3.5297e-07  5.6339e-07  9.4128e-07  1.7483e-06  3.6512e-06
  8.2549e-06  1.9184e-05  4.4062e-05  9.7770e-05  2.0736e-04  4.1859e-04  8.0312e-04
  1.4650e-03  2.5444e-03  4.2150e-03  6.6760e-03  1.0138e-02  1.4804e-02  2.0852e-02
  2.8417e-02  3.7587e-02  4.8391e-02  6.0809e-02  7.4778e-02  9.0189e-02  1.0691e-01
  1.2480e-01  1.4370e-01  1.6345e-01  1.8390e-01  2.0490e-01  2.2635e-01  2.4812e-01
  2.7008e-01  2.9209e-01  3.1399e-01  3.3556e-01  3.5654e-01  3.7662e-01  3.9549e-01
  4.1289e-01  4.2859e-01  4.4248e-01  4.5449e-01  4.6464e-01  4.7301e-01  4.7977e-01
  4.8509e-01  4.8919e-01  4.9228e-01  4.9457e-01  4.9623e-01  4.9742e-01  4.9825e-01
  4.9883e-01  4.9923e-01  4.9949e-01  4.9967e-01  4.9979e-01  4.9986e-01  4.9991e-01
  4.9995e-01  4.9997e-01  4.9998e-01  4.9999e-01  4.9999e-01  4.9999e-01  4.9999e-01
  5.0000e-01  5.0000e-01  5.0000e-01  5.0000e-01  5.0000e-01  5.0011e-01  5.0018e-01
  4.9928e-01  4.9862e-01  4.9966e-01  4.8696e-01  4.5766e-01  4.1775e-01  3.4515e-01
  2.4425e-01  1.4849e-01  7.8685e-02  3.7172e-02  1.6083e-02  6.5173e-03  2.5117e-03
  9.2930e-04  3.3183e-04  1.1453e-04  3.8093e-05  1.2077e-05  3.5538e-06  9.1588e-07
  1.8277e-07


final statistics for mf = 11:   24 steps,    38 res,     9 jacobians,
                              rwork size =  7447,  iwork size =   317
final output is correct to within  7.51e+00  times local error tolerance. 




******************************************************************************************

run with rtol =  1.0e-03  atol =  1.0e-03   mf = 12



 at time t = 1.00000e-01  current h = 2.23045e-02  current order = 2  current nst =   17

 at time t = 2.00000e-01  current h = 4.11730e-02  current order = 2  current nst =   20

 at time t = 3.00000e-01  current h = 5.13490e-02  current order = 2  current nst =   22

 at time t = 4.00000e-01  current h = 5.92579e-02  current order = 2  current nst =   24

 values of pde component i =  1
  1.7125e-03  3.4399e-03  5.1968e-03  6.9974e-03  8.8549e-03  1.0782e-02  1.2788e-02
  1.4885e-02  1.7078e-02  1.9373e-02  2.1776e-02  2.4289e-02  2.6909e-02  2.9634e-02
  3.2471e-02  3.5397e-02  3.8408e-02  4.1534e-02  4.4675e-02  4.7971e-02  5.1194e-02
  5.4639e-02  5.7934e-02  6.1415e-02  6.4835e-02  6.8281e-02  7.1824e-02  7.5205e-02
  7.8807e-02  8.2232e-02  8.5788e-02  8.9250e-02  9.2783e-02  9.6282e-02  9.9783e-02
  1.0330e-01  1.0680e-01  1.1031e-01  1.1382e-01  1.1733e-01  1.2084e-01  1.2435e-01
  1.2785e-01  1.3134e-01  1.3482e-01  1.3828e-01  1.4172e-01  1.4511e-01  1.4845e-01
  1.5173e-01  1.5494e-01  1.5805e-01  1.6105e-01  1.6394e-01  1.6668e-01  1.6928e-01
  1.7170e-01  1.7395e-01  1.7599e-01  1.7783e-01  1.7945e-01  1.8082e-01  1.8195e-01
  1.8281e-01  1.8339e-01  1.8367e-01  1.8364e-01  1.8326e-01  1.8256e-01  1.8141e-01
  1.7997e-01  1.7794e-01  1.7560e-01  1.7264e-01  1.6921e-01  1.6520e-01  1.6053e-01
  1.5531e-01  1.4927e-01  1.4266e-01  1.3517e-01  1.2705e-01  1.1818e-01  1.0879e-01
  9.9049e-02  8.9259e-02  7.9719e-02  7.0624e-02  6.2096e-02  5.4179e-02  4.6868e-02
  4.0132e-02  3.3922e-02  2.8182e-02  2.2851e-02  1.7864e-02  1.3154e-02  8.6532e-03
  4.2917e-03
 values of pde component i =  2
  7.6367e-06  1.7926e-05  3.4188e-05  6.1148e-05  1.0582e-04  1.7856e-04  2.9430e-04
  4.7393e-04  7.4562e-04  1.1459e-03  1.7204e-03  2.5235e-03  3.6170e-03  5.0678e-03
  6.9444e-03  9.3122e-03  1.2229e-02  1.5741e-02  1.9877e-02  2.4652e-02  3.0063e-02
  3.6083e-02  4.2691e-02  4.9829e-02  5.7454e-02  6.5519e-02  7.3944e-02  8.2709e-02
  9.1735e-02  1.0099e-01  1.1043e-01  1.2000e-01  1.2969e-01  1.3946e-01  1.4927e-01
  1.5911e-01  1.6895e-01  1.7877e-01  1.8852e-01  1.9819e-01  2.0772e-01  2.1706e-01
  2.2614e-01  2.3488e-01  2.4321e-01  2.5104e-01  2.5832e-01  2.6497e-01  2.7096e-01
  2.7625e-01  2.8085e-01  2.8477e-01  2.8804e-01  2.9074e-01  2.9291e-01  2.9464e-01
  2.9600e-01  2.9704e-01  2.9783e-01  2.9843e-01  2.9887e-01  2.9920e-01  2.9943e-01
  2.9960e-01  2.9972e-01  2.9981e-01  2.9986e-01  2.9990e-01  2.9992e-01  2.9993e-01
  2.9991e-01  2.9985e-01  2.9973e-01  2.9949e-01  2.9904e-01  2.9822e-01  2.9666e-01
  2.9388e-01  2.8923e-01  2.8178e-01  2.6977e-01  2.5053e-01  2.2326e-01  1.8833e-01
  1.4843e-01  1.0902e-01  7.5183e-02  4.9293e-02  3.1095e-02  1.9037e-02  1.1372e-02
  6.6488e-03  3.8112e-03  2.1438e-03  1.1838e-03  6.4086e-04  3.3798e-04  1.6881e-04
  6.9544e-05
 values of pde component i =  3
  4.9714e-09  1.6543e-08  4.9375e-08  1.4296e-07  4.0359e-07  1.1079e-06  2.9460e-06
  7.5541e-06  1.8592e-05  4.3717e-05  9.7831e-05  2.0800e-04  4.1992e-04  8.0521e-04
  1.4680e-03  2.5482e-03  4.2198e-03  6.6824e-03  1.0147e-02  1.4818e-02  2.0874e-02
  2.8451e-02  3.7641e-02  4.8472e-02  6.0925e-02  7.4936e-02  9.0392e-02  1.0717e-01
  1.2510e-01  1.4405e-01  1.6382e-01  1.8430e-01  2.0532e-01  2.2676e-01  2.4851e-01
  2.7044e-01  2.9241e-01  3.1427e-01  3.3580e-01  3.5674e-01  3.7679e-01  3.9563e-01
  4.1300e-01  4.2869e-01  4.4256e-01  4.5455e-01  4.6469e-01  4.7306e-01  4.7980e-01
  4.8512e-01  4.8922e-01  4.9231e-01  4.9459e-01  4.9625e-01  4.9743e-01  4.9826e-01
  4.9884e-01  4.9923e-01  4.9950e-01  4.9967e-01  4.9979e-01  4.9987e-01  4.9991e-01
  4.9995e-01  4.9997e-01  4.9998e-01  4.9999e-01  4.9999e-01  5.0000e-01  5.0000e-01
  5.0000e-01  5.0000e-01  5.0000e-01  5.0000e-01  5.0001e-01  5.0011e-01  5.0022e-01
  4.9928e-01  4.9850e-01  4.9975e-01  4.8723e-01  4.5809e-01  4.1908e-01  3.4724e-01
  2.4625e-01  1.5002e-01  7.9662e-02  3.7688e-02  1.6318e-02  6.6150e-03  2.5506e-03
  9.4496e-04  3.3865e-04  1.1793e-04  4.0040e-05  1.3288e-05  4.3170e-06  1.3663e-06
  3.9167e-07


final statistics for mf = 12:   24 steps,   128 res,     9 jacobians,
                              rwork size =  7447,  iwork size =   317
final output is correct to within  7.08e+00  times local error tolerance. 




******************************************************************************************

run with rtol =  1.0e-03  atol =  1.0e-03   mf = 21



 at time t = 1.00000e-01  current h = 1.72272e-02  current order = 2  current nst =   20

 at time t = 2.00000e-01  current h = 3.31222e-02  current order = 2  current nst =   24

 at time t = 3.00000e-01  current h = 3.31222e-02  current order = 2  current nst =   27

 at time t = 4.00000e-01  current h = 3.31222e-02  current order = 2  current nst =   30

 values of pde component i =  1
  1.7137e-03  3.4425e-03  5.2016e-03  7.0050e-03  8.8663e-03  1.0798e-02  1.2810e-02
  1.4913e-02  1.7114e-02  1.9418e-02  2.1830e-02  2.4350e-02  2.6979e-02  2.9714e-02
  3.2552e-02  3.5486e-02  3.8510e-02  4.1616e-02  4.4796e-02  4.8039e-02  5.1338e-02
  5.4684e-02  5.8069e-02  6.1484e-02  6.4923e-02  6.8381e-02  7.1852e-02  7.5332e-02
  7.8817e-02  8.2304e-02  8.5792e-02  8.9280e-02  9.2768e-02  9.6256e-02  9.9746e-02
  1.0324e-01  1.0674e-01  1.1024e-01  1.1375e-01  1.1727e-01  1.2079e-01  1.2432e-01
  1.2785e-01  1.3138e-01  1.3489e-01  1.3839e-01  1.4186e-01  1.4529e-01  1.4867e-01
  1.5198e-01  1.5520e-01  1.5833e-01  1.6135e-01  1.6423e-01  1.6697e-01  1.6955e-01
  1.7196e-01  1.7418e-01  1.7620e-01  1.7801e-01  1.7959e-01  1.8093e-01  1.8203e-01
  1.8285e-01  1.8340e-01  1.8365e-01  1.8359e-01  1.8320e-01  1.8246e-01  1.8135e-01
  1.7983e-01  1.7789e-01  1.7549e-01  1.7259e-01  1.6917e-01  1.6518e-01  1.6058e-01
  1.5532e-01  1.4933e-01  1.4258e-01  1.3510e-01  1.2687e-01  1.1796e-01  1.0852e-01
  9.8777e-02  8.9004e-02  7.9474e-02  7.0392e-02  6.1876e-02  5.3972e-02  4.6676e-02
  3.9956e-02  3.3764e-02  2.8044e-02  2.2735e-02  1.7770e-02  1.3083e-02  8.6052e-03
  4.2675e-03
 values of pde component i =  2
  8.2919e-06  1.9258e-05  3.6209e-05  6.3807e-05  1.0892e-04  1.8170e-04  2.9681e-04
  4.7488e-04  7.4395e-04  1.1407e-03  1.7112e-03  2.5109e-03  3.6030e-03  5.0559e-03
  6.9391e-03  9.3181e-03  1.2250e-02  1.5777e-02  1.9928e-02  2.4712e-02  3.0123e-02
  3.6139e-02  4.2725e-02  4.9840e-02  5.7434e-02  6.5456e-02  7.3851e-02  8.2569e-02
  9.1559e-02  1.0078e-01  1.1018e-01  1.1974e-01  1.2943e-01  1.3922e-01  1.4911e-01
  1.5908e-01  1.6909e-01  1.7913e-01  1.8913e-01  1.9904e-01  2.0879e-01  2.1828e-01
  2.2743e-01  2.3616e-01  2.4438e-01  2.5205e-01  2.5909e-01  2.6547e-01  2.7119e-01
  2.7623e-01  2.8061e-01  2.8437e-01  2.8754e-01  2.9019e-01  2.9236e-01  2.9412e-01
  2.9552e-01  2.9663e-01  2.9749e-01  2.9815e-01  2.9865e-01  2.9902e-01  2.9930e-01
  2.9950e-01  2.9965e-01  2.9975e-01  2.9983e-01  2.9988e-01  2.9990e-01  2.9991e-01
  2.9990e-01  2.9985e-01  2.9975e-01  2.9955e-01  2.9917e-01  2.9847e-01  2.9717e-01
  2.9482e-01  2.9035e-01  2.8199e-01  2.6856e-01  2.4910e-01  2.2185e-01  1.8690e-01
  1.4739e-01  1.0852e-01  7.5106e-02  4.9448e-02  3.1338e-02  1.9286e-02  1.1591e-02
  6.8245e-03  3.9436e-03  2.2387e-03  1.2486e-03  6.8327e-04  3.6426e-04  1.8374e-04
  7.6240e-05
 values of pde component i =  3
  6.1615e-08  1.3772e-07  2.5131e-07  4.5198e-07  8.6101e-07  1.7794e-06  3.9320e-06
  8.9850e-06  2.0570e-05  4.6165e-05  1.0028e-04  2.0937e-04  4.1851e-04  7.9922e-04
  1.4567e-03  2.5338e-03  4.2080e-03  6.6813e-03  1.0163e-02  1.4849e-02  2.0907e-02
  2.8460e-02  3.7584e-02  4.8305e-02  6.0601e-02  7.4415e-02  8.9656e-02  1.0621e-01
  1.2397e-01  1.4279e-01  1.6255e-01  1.8315e-01  2.0446e-01  2.2638e-01  2.4877e-01
  2.7143e-01  2.9413e-01  3.1657e-01  3.3843e-01  3.5937e-01  3.7912e-01  3.9742e-01
  4.1410e-01  4.2904e-01  4.4220e-01  4.5360e-01  4.6329e-01  4.7140e-01  4.7805e-01
  4.8342e-01  4.8766e-01  4.9097e-01  4.9348e-01  4.9537e-01  4.9676e-01  4.9776e-01
  4.9848e-01  4.9898e-01  4.9932e-01  4.9956e-01  4.9971e-01  4.9982e-01  4.9988e-01
  4.9993e-01  4.9995e-01  4.9997e-01  4.9998e-01  4.9999e-01  4.9999e-01  4.9999e-01
  5.0000e-01  5.0000e-01  5.0000e-01  5.0001e-01  5.0007e-01  5.0022e-01  5.0072e-01
  5.0225e-01  5.0162e-01  4.9498e-01  4.8779e-01  4.6719e-01  4.1324e-01  3.3391e-01
  2.4155e-01  1.5115e-01  8.1884e-02  3.9367e-02  1.7263e-02  7.0672e-03  2.7448e-03
  1.0215e-03  3.6631e-04  1.2686e-04  4.2407e-05  1.3619e-05  4.1545e-06  1.1754e-06
  2.8686e-07


final statistics for mf = 21:   30 steps,    45 res,    11 jacobians,
                              rwork size =  5368,  iwork size =   317
final output is correct to within  1.40e+01  times local error tolerance. 




******************************************************************************************

run with rtol =  1.0e-03  atol =  1.0e-03   mf = 22



 at time t = 1.00000e-01  current h = 1.72188e-02  current order = 2  current nst =   20

 at time t = 2.00000e-01  current h = 3.32165e-02  current order = 2  current nst =   24

 at time t = 3.00000e-01  current h = 3.32165e-02  current order = 2  current nst =   27

 at time t = 4.00000e-01  current h = 3.32165e-02  current order = 2  current nst =   30

 values of pde component i =  1
  1.7127e-03  3.4407e-03  5.1987e-03  7.0010e-03  8.8611e-03  1.0791e-02  1.2802e-02
  1.4903e-02  1.7101e-02  1.9403e-02  2.1812e-02  2.4328e-02  2.6953e-02  2.9684e-02
  3.2517e-02  3.5445e-02  3.8463e-02  4.1563e-02  4.4734e-02  4.7970e-02  5.1261e-02
  5.4598e-02  5.7973e-02  6.1380e-02  6.4810e-02  6.8260e-02  7.1723e-02  7.5197e-02
  7.8678e-02  8.2164e-02  8.5654e-02  8.9146e-02  9.2640e-02  9.6137e-02  9.9636e-02
  1.0314e-01  1.0665e-01  1.1016e-01  1.1369e-01  1.1721e-01  1.2075e-01  1.2429e-01
  1.2783e-01  1.3136e-01  1.3489e-01  1.3839e-01  1.4187e-01  1.4530e-01  1.4868e-01
  1.5200e-01  1.5522e-01  1.5835e-01  1.6137e-01  1.6426e-01  1.6700e-01  1.6958e-01
  1.7199e-01  1.7421e-01  1.7622e-01  1.7803e-01  1.7961e-01  1.8095e-01  1.8204e-01
  1.8287e-01  1.8342e-01  1.8367e-01  1.8361e-01  1.8322e-01  1.8247e-01  1.8135e-01
  1.7983e-01  1.7788e-01  1.7547e-01  1.7256e-01  1.6912e-01  1.6512e-01  1.6050e-01
  1.5523e-01  1.4926e-01  1.4257e-01  1.3514e-01  1.2697e-01  1.1811e-01  1.0870e-01
  9.8972e-02  8.9209e-02  7.9682e-02  7.0598e-02  6.2076e-02  5.4161e-02  4.6851e-02
  4.0114e-02  3.3903e-02  2.8164e-02  2.2834e-02  1.7849e-02  1.3142e-02  8.6444e-03
  4.2871e-03
 values of pde component i =  2
  8.2203e-06  1.9115e-05  3.5997e-05  6.3530e-05  1.0860e-04  1.8134e-04  2.9645e-04
  4.7457e-04  7.4372e-04  1.1406e-03  1.7113e-03  2.5111e-03  3.6033e-03  5.0561e-03
  6.9389e-03  9.3172e-03  1.2247e-02  1.5772e-02  1.9920e-02  2.4698e-02  3.0101e-02
  3.6107e-02  4.2680e-02  4.9778e-02  5.7352e-02  6.5351e-02  7.3724e-02  8.2421e-02
  9.1396e-02  1.0061e-01  1.1001e-01  1.1959e-01  1.2930e-01  1.3912e-01  1.4905e-01
  1.5905e-01  1.6909e-01  1.7915e-01  1.8917e-01  1.9910e-01  2.0885e-01  2.1834e-01
  2.2749e-01  2.3622e-01  2.4444e-01  2.5210e-01  2.5914e-01  2.6552e-01  2.7122e-01
  2.7626e-01  2.8064e-01  2.8439e-01  2.8756e-01  2.9020e-01  2.9237e-01  2.9413e-01
  2.9553e-01  2.9663e-01  2.9749e-01  2.9815e-01  2.9865e-01  2.9902e-01  2.9930e-01
  2.9950e-01  2.9965e-01  2.9976e-01  2.9983e-01  2.9988e-01  2.9991e-01  2.9992e-01
  2.9990e-01  2.9986e-01  2.9975e-01  2.9955e-01  2.9916e-01  2.9843e-01  2.9707e-01
  2.9458e-01  2.9001e-01  2.8189e-01  2.6884e-01  2.4945e-01  2.2212e-01  1.8719e-01
  1.4777e-01  1.0894e-01  7.5494e-02  4.9755e-02  3.1556e-02  1.9430e-02  1.1681e-02
  6.8786e-03  3.9751e-03  2.2566e-03  1.2587e-03  6.8880e-04  3.6726e-04  1.8528e-04
  7.6894e-05
 values of pde component i =  3
  6.4300e-09  2.1338e-08  6.3116e-08  1.7980e-07  4.9597e-07  1.3228e-06  3.4039e-06
  8.4330e-06  2.0076e-05  4.5849e-05  1.0029e-04  2.0987e-04  4.1962e-04  8.0102e-04
  1.4592e-03  2.5369e-03  4.2116e-03  6.6854e-03  1.0168e-02  1.4856e-02  2.0918e-02
  2.8479e-02  3.7616e-02  4.8356e-02  6.0679e-02  7.4526e-02  8.9805e-02  1.0640e-01
  1.2420e-01  1.4305e-01  1.6284e-01  1.8345e-01  2.0476e-01  2.2666e-01  2.4902e-01
  2.7165e-01  2.9431e-01  3.1671e-01  3.3853e-01  3.5945e-01  3.7917e-01  3.9745e-01
  4.1412e-01  4.2905e-01  4.4220e-01  4.5359e-01  4.6329e-01  4.7139e-01  4.7805e-01
  4.8341e-01  4.8766e-01  4.9097e-01  4.9349e-01  4.9537e-01  4.9676e-01  4.9777e-01
  4.9848e-01  4.9898e-01  4.9932e-01  4.9956e-01  4.9971e-01  4.9982e-01  4.9988e-01
  4.9993e-01  4.9996e-01  4.9997e-01  4.9998e-01  4.9999e-01  4.9999e-01  5.0000e-01
  5.0000e-01  5.0000e-01  5.0000e-01  5.0002e-01  5.0007e-01  5.0023e-01  5.0075e-01
  5.0238e-01  5.0176e-01  4.9491e-01  4.8807e-01  4.6792e-01  4.1365e-01  3.3437e-01
  2.4246e-01  1.5207e-01  8.2494e-02  3.9692e-02  1.7413e-02  7.1293e-03  2.7694e-03
  1.0313e-03  3.7052e-04  1.2894e-04  4.3581e-05  1.4333e-05  4.5924e-06  1.4269e-06
  4.0118e-07


final statistics for mf = 22:   30 steps,   155 res,    11 jacobians,
                              rwork size =  5368,  iwork size =   317
final output is correct to within  1.35e+01  times local error tolerance. 




******************************************************************************************

run with rtol =  1.0e-06  atol =  1.0e-06   mf = 11



 at time t = 1.00000e-01  current h = 7.99804e-03  current order = 4  current nst =   60

 at time t = 2.00000e-01  current h = 1.01160e-02  current order = 4  current nst =   71

 at time t = 3.00000e-01  current h = 1.20900e-02  current order = 4  current nst =   89

 at time t = 4.00000e-01  current h = 1.28122e-02  current order = 4  current nst =  106

 values of pde component i =  1
  1.7096e-03  3.4340e-03  5.1878e-03  6.9852e-03  8.8392e-03  1.0762e-02  1.2765e-02
  1.4857e-02  1.7047e-02  1.9339e-02  2.1739e-02  2.4249e-02  2.6868e-02  2.9596e-02
  3.2427e-02  3.5359e-02  3.8382e-02  4.1491e-02  4.4675e-02  4.7927e-02  5.1237e-02
  5.4596e-02  5.7995e-02  6.1427e-02  6.4885e-02  6.8363e-02  7.1856e-02  7.5360e-02
  7.8871e-02  8.2387e-02  8.5906e-02  8.9427e-02  9.2948e-02  9.6470e-02  9.9992e-02
  1.0351e-01  1.0703e-01  1.1055e-01  1.1407e-01  1.1758e-01  1.2109e-01  1.2459e-01
  1.2808e-01  1.3156e-01  1.3502e-01  1.3845e-01  1.4184e-01  1.4520e-01  1.4850e-01
  1.5174e-01  1.5490e-01  1.5798e-01  1.6095e-01  1.6380e-01  1.6652e-01  1.6910e-01
  1.7151e-01  1.7374e-01  1.7579e-01  1.7763e-01  1.7926e-01  1.8065e-01  1.8179e-01
  1.8267e-01  1.8327e-01  1.8358e-01  1.8357e-01  1.8322e-01  1.8252e-01  1.8143e-01
  1.7994e-01  1.7801e-01  1.7561e-01  1.7271e-01  1.6927e-01  1.6526e-01  1.6063e-01
  1.5536e-01  1.4940e-01  1.4272e-01  1.3530e-01  1.2715e-01  1.1831e-01  1.0891e-01
  9.9157e-02  8.9352e-02  7.9782e-02  7.0666e-02  6.2124e-02  5.4199e-02  4.6885e-02
  4.0146e-02  3.3936e-02  2.8195e-02  2.2863e-02  1.7875e-02  1.3163e-02  8.6593e-03
  4.2948e-03
 values of pde component i =  2
  7.1742e-06  1.7078e-05  3.3125e-05  6.0159e-05  1.0534e-04  1.7917e-04  2.9672e-04
  4.7886e-04  7.5360e-04  1.1571e-03  1.7342e-03  2.5385e-03  3.6310e-03  5.0780e-03
  6.9478e-03  9.3065e-03  1.2213e-02  1.5715e-02  1.9846e-02  2.4621e-02  3.0037e-02
  3.6076e-02  4.2706e-02  4.9881e-02  5.7551e-02  6.5661e-02  7.4154e-02  8.2976e-02
  9.2075e-02  1.0140e-01  1.1091e-01  1.2056e-01  1.3032e-01  1.4014e-01  1.5000e-01
  1.5985e-01  1.6968e-01  1.7943e-01  1.8908e-01  1.9860e-01  2.0792e-01  2.1702e-01
  2.2585e-01  2.3434e-01  2.4245e-01  2.5012e-01  2.5730e-01  2.6393e-01  2.6997e-01
  2.7538e-01  2.8016e-01  2.8429e-01  2.8779e-01  2.9070e-01  2.9306e-01  2.9493e-01
  2.9637e-01  2.9747e-01  2.9827e-01  2.9885e-01  2.9925e-01  2.9952e-01  2.9971e-01
  2.9982e-01  2.9990e-01  2.9994e-01  2.9996e-01  2.9997e-01  2.9997e-01  2.9996e-01
  2.9993e-01  2.9985e-01  2.9971e-01  2.9944e-01  2.9894e-01  2.9804e-01  2.9644e-01
  2.9368e-01  2.8904e-01  2.8142e-01  2.6932e-01  2.5087e-01  2.2446e-01  1.8989e-01
  1.4989e-01  1.0993e-01  7.5403e-02  4.9025e-02  3.0608e-02  1.8516e-02  1.0911e-02
  6.2775e-03  3.5302e-03  1.9407e-03  1.0423e-03  5.4606e-04  2.7744e-04  1.3338e-04
  5.3284e-05
 values of pde component i =  3
  1.9700e-10  1.9955e-09  1.1981e-08  5.5629e-08  2.1858e-07  7.5626e-07  2.3566e-06
  6.7086e-06  1.7623e-05  4.3036e-05  9.8260e-05  2.1074e-04  4.2621e-04  8.1566e-04
  1.4816e-03  2.5619e-03  4.2285e-03  6.6808e-03  1.0132e-02  1.4790e-02  2.0842e-02
  2.8434e-02  3.7657e-02  4.8550e-02  6.1093e-02  7.5220e-02  9.0822e-02  1.0776e-01
  1.2589e-01  1.4503e-01  1.6502e-01  1.8569e-01  2.0686e-01  2.2836e-01  2.5002e-01
  2.7169e-01  2.9318e-01  3.1434e-01  3.3500e-01  3.5499e-01  3.7412e-01  3.9224e-01
  4.0918e-01  4.2477e-01  4.3889e-01  4.5143e-01  4.6232e-01  4.7155e-01  4.7914e-01
  4.8520e-01  4.8986e-01  4.9332e-01  4.9577e-01  4.9744e-01  4.9852e-01  4.9919e-01
  4.9958e-01  4.9979e-01  4.9990e-01  4.9996e-01  4.9998e-01  4.9999e-01  5.0000e-01
  5.0000e-01  5.0000e-01  5.0000e-01  5.0000e-01  5.0000e-01  5.0000e-01  5.0000e-01
  5.0000e-01  5.0000e-01  5.0000e-01  5.0000e-01  4.9999e-01  4.9995e-01  4.9983e-01
  4.9944e-01  4.9824e-01  4.9488e-01  4.8608e-01  4.6518e-01  4.2186e-01  3.4789e-01
  2.4964e-01  1.5164e-01  7.8015e-02  3.4798e-02  1.3870e-02  5.0592e-03  1.7117e-03
  5.3963e-04  1.5825e-04  4.2875e-05  1.0606e-05  2.3509e-06  4.5220e-07  7.0930e-08
  7.7916e-09


final statistics for mf = 11:  106 steps,   148 res,    23 jacobians,
                              rwork size =  7447,  iwork size =   317
final output is correct to within  6.68e+00  times local error tolerance. 




******************************************************************************************

run with rtol =  1.0e-06  atol =  1.0e-06   mf = 12



 at time t = 1.00000e-01  current h = 6.41849e-03  current order = 3  current nst =   61

 at time t = 2.00000e-01  current h = 1.30367e-02  current order = 4  current nst =   71

 at time t = 3.00000e-01  current h = 6.87104e-03  current order = 3  current nst =   89

 at time t = 4.00000e-01  current h = 8.40700e-03  current order = 3  current nst =  100

 values of pde component i =  1
  1.7096e-03  3.4340e-03  5.1878e-03  6.9852e-03  8.8391e-03  1.0762e-02  1.2765e-02
  1.4858e-02  1.7046e-02  1.9340e-02  2.1738e-02  2.4251e-02  2.6867e-02  2.9598e-02
  3.2425e-02  3.5361e-02  3.8380e-02  4.1493e-02  4.4674e-02  4.7928e-02  5.1236e-02
  5.4595e-02  5.7996e-02  6.1425e-02  6.4888e-02  6.8359e-02  7.1861e-02  7.5354e-02
  7.8877e-02  8.2380e-02  8.5913e-02  8.9420e-02  9.2955e-02  9.6464e-02  9.9998e-02
  1.0351e-01  1.0704e-01  1.1055e-01  1.1407e-01  1.1758e-01  1.2109e-01  1.2459e-01
  1.2808e-01  1.3156e-01  1.3502e-01  1.3845e-01  1.4184e-01  1.4520e-01  1.4850e-01
  1.5174e-01  1.5490e-01  1.5798e-01  1.6095e-01  1.6380e-01  1.6652e-01  1.6910e-01
  1.7151e-01  1.7374e-01  1.7579e-01  1.7763e-01  1.7926e-01  1.8064e-01  1.8179e-01
  1.8267e-01  1.8327e-01  1.8357e-01  1.8357e-01  1.8322e-01  1.8252e-01  1.8143e-01
  1.7994e-01  1.7801e-01  1.7561e-01  1.7271e-01  1.6927e-01  1.6526e-01  1.6064e-01
  1.5536e-01  1.4940e-01  1.4271e-01  1.3531e-01  1.2715e-01  1.1831e-01  1.0890e-01
  9.9155e-02  8.9353e-02  7.9780e-02  7.0668e-02  6.2122e-02  5.4201e-02  4.6883e-02
  4.0147e-02  3.3935e-02  2.8196e-02  2.2863e-02  1.7875e-02  1.3163e-02  8.6594e-03
  4.2948e-03
 values of pde component i =  2
  7.1739e-06  1.7078e-05  3.3124e-05  6.0157e-05  1.0534e-04  1.7917e-04  2.9672e-04
  4.7886e-04  7.5360e-04  1.1571e-03  1.7342e-03  2.5385e-03  3.6310e-03  5.0780e-03
  6.9478e-03  9.3064e-03  1.2213e-02  1.5715e-02  1.9846e-02  2.4621e-02  3.0037e-02
  3.6076e-02  4.2706e-02  4.9881e-02  5.7551e-02  6.5661e-02  7.4154e-02  8.2976e-02
  9.2075e-02  1.0140e-01  1.1091e-01  1.2056e-01  1.3032e-01  1.4014e-01  1.5000e-01
  1.5985e-01  1.6968e-01  1.7943e-01  1.8908e-01  1.9859e-01  2.0792e-01  2.1702e-01
  2.2585e-01  2.3434e-01  2.4245e-01  2.5012e-01  2.5730e-01  2.6393e-01  2.6997e-01
  2.7538e-01  2.8016e-01  2.8429e-01  2.8779e-01  2.9070e-01  2.9306e-01  2.9493e-01
  2.9637e-01  2.9747e-01  2.9827e-01  2.9885e-01  2.9925e-01  2.9952e-01  2.9971e-01
  2.9982e-01  2.9990e-01  2.9994e-01  2.9996e-01  2.9997e-01  2.9997e-01  2.9996e-01
  2.9993e-01  2.9985e-01  2.9971e-01  2.9944e-01  2.9894e-01  2.9804e-01  2.9644e-01
  2.9368e-01  2.8904e-01  2.8142e-01  2.6932e-01  2.5088e-01  2.2446e-01  1.8989e-01
  1.4989e-01  1.0993e-01  7.5403e-02  4.9025e-02  3.0607e-02  1.8517e-02  1.0911e-02
  6.2776e-03  3.5303e-03  1.9407e-03  1.0424e-03  5.4609e-04  2.7746e-04  1.3339e-04
  5.3289e-05
 values of pde component i =  3
  2.0027e-10  2.0030e-09  1.1983e-08  5.5623e-08  2.1853e-07  7.5611e-07  2.3562e-06
  6.7079e-06  1.7622e-05  4.3034e-05  9.8257e-05  2.1073e-04  4.2621e-04  8.1565e-04
  1.4816e-03  2.5619e-03  4.2285e-03  6.6808e-03  1.0132e-02  1.4790e-02  2.0842e-02
  2.8434e-02  3.7657e-02  4.8550e-02  6.1093e-02  7.5220e-02  9.0822e-02  1.0776e-01
  1.2589e-01  1.4503e-01  1.6502e-01  1.8569e-01  2.0686e-01  2.2836e-01  2.5002e-01
  2.7169e-01  2.9318e-01  3.1435e-01  3.3500e-01  3.5499e-01  3.7412e-01  3.9224e-01
  4.0918e-01  4.2477e-01  4.3889e-01  4.5143e-01  4.6232e-01  4.7155e-01  4.7914e-01
  4.8520e-01  4.8986e-01  4.9332e-01  4.9577e-01  4.9744e-01  4.9852e-01  4.9919e-01
  4.9958e-01  4.9979e-01  4.9990e-01  4.9996e-01  4.9998e-01  4.9999e-01  5.0000e-01
  5.0000e-01  5.0000e-01  5.0000e-01  5.0000e-01  5.0000e-01  5.0000e-01  5.0000e-01
  5.0000e-01  5.0000e-01  5.0000e-01  5.0000e-01  4.9999e-01  4.9995e-01  4.9983e-01
  4.9943e-01  4.9824e-01  4.9488e-01  4.8608e-01  4.6518e-01  4.2187e-01  3.4789e-01
  2.4964e-01  1.5164e-01  7.8010e-02  3.4797e-02  1.3871e-02  5.0606e-03  1.7126e-03
  5.4007e-04  1.5843e-04  4.2946e-05  1.0633e-05  2.3605e-06  4.5556e-07  7.2022e-08
  8.1027e-09


final statistics for mf = 12:  100 steps,   353 res,    22 jacobians,
                              rwork size =  7447,  iwork size =   317
final output is correct to within  1.24e+01  times local error tolerance. 




******************************************************************************************

run with rtol =  1.0e-06  atol =  1.0e-06   mf = 21



 at time t = 1.00000e-01  current h = 5.75195e-03  current order = 4  current nst =   72

 at time t = 2.00000e-01  current h = 9.26222e-03  current order = 5  current nst =   85

 at time t = 3.00000e-01  current h = 1.22737e-02  current order = 5  current nst =   95

 at time t = 4.00000e-01  current h = 1.22737e-02  current order = 5  current nst =  103

 values of pde component i =  1
  1.7096e-03  3.4340e-03  5.1878e-03  6.9852e-03  8.8392e-03  1.0762e-02  1.2765e-02
  1.4857e-02  1.7047e-02  1.9339e-02  2.1739e-02  2.4249e-02  2.6868e-02  2.9596e-02
  3.2428e-02  3.5359e-02  3.8382e-02  4.1491e-02  4.4675e-02  4.7927e-02  5.1237e-02
  5.4595e-02  5.7995e-02  6.1427e-02  6.4885e-02  6.8363e-02  7.1856e-02  7.5360e-02
  7.8871e-02  8.2387e-02  8.5906e-02  8.9427e-02  9.2948e-02  9.6470e-02  9.9992e-02
  1.0351e-01  1.0703e-01  1.1055e-01  1.1407e-01  1.1758e-01  1.2109e-01  1.2459e-01
  1.2808e-01  1.3156e-01  1.3502e-01  1.3845e-01  1.4184e-01  1.4520e-01  1.4850e-01
  1.5174e-01  1.5490e-01  1.5798e-01  1.6095e-01  1.6380e-01  1.6652e-01  1.6910e-01
  1.7151e-01  1.7374e-01  1.7579e-01  1.7763e-01  1.7926e-01  1.8065e-01  1.8179e-01
  1.8267e-01  1.8327e-01  1.8358e-01  1.8357e-01  1.8322e-01  1.8252e-01  1.8143e-01
  1.7994e-01  1.7801e-01  1.7561e-01  1.7271e-01  1.6927e-01  1.6526e-01  1.6063e-01
  1.5536e-01  1.4940e-01  1.4272e-01  1.3530e-01  1.2715e-01  1.1831e-01  1.0890e-01
  9.9155e-02  8.9351e-02  7.9782e-02  7.0666e-02  6.2124e-02  5.4199e-02  4.6885e-02
  4.0147e-02  3.3936e-02  2.8195e-02  2.2864e-02  1.7875e-02  1.3163e-02  8.6593e-03
  4.2948e-03
 values of pde component i =  2
  7.1743e-06  1.7079e-05  3.3125e-05  6.0159e-05  1.0534e-04  1.7918e-04  2.9672e-04
  4.7886e-04  7.5360e-04  1.1571e-03  1.7342e-03  2.5385e-03  3.6310e-03  5.0780e-03
  6.9478e-03  9.3064e-03  1.2213e-02  1.5715e-02  1.9846e-02  2.4621e-02  3.0037e-02
  3.6076e-02  4.2706e-02  4.9881e-02  5.7551e-02  6.5661e-02  7.4154e-02  8.2976e-02
  9.2075e-02  1.0140e-01  1.1091e-01  1.2056e-01  1.3032e-01  1.4014e-01  1.5000e-01
  1.5985e-01  1.6968e-01  1.7943e-01  1.8908e-01  1.9860e-01  2.0792e-01  2.1702e-01
  2.2585e-01  2.3434e-01  2.4245e-01  2.5012e-01  2.5730e-01  2.6393e-01  2.6997e-01
  2.7538e-01  2.8016e-01  2.8429e-01  2.8779e-01  2.9070e-01  2.9306e-01  2.9493e-01
  2.9637e-01  2.9747e-01  2.9827e-01  2.9885e-01  2.9925e-01  2.9952e-01  2.9971e-01
  2.9982e-01  2.9990e-01  2.9994e-01  2.9996e-01  2.9998e-01  2.9997e-01  2.9996e-01
  2.9993e-01  2.9985e-01  2.9971e-01  2.9944e-01  2.9894e-01  2.9804e-01  2.9644e-01
  2.9368e-01  2.8904e-01  2.8142e-01  2.6932e-01  2.5087e-01  2.2446e-01  1.8988e-01
  1.4989e-01  1.0993e-01  7.5404e-02  4.9026e-02  3.0608e-02  1.8516e-02  1.0910e-02
  6.2772e-03  3.5300e-03  1.9405e-03  1.0422e-03  5.4597e-04  2.7739e-04  1.3335e-04
  5.3268e-05
 values of pde component i =  3
  1.7213e-10  1.9380e-09  1.1865e-08  5.5432e-08  2.1827e-07  7.5587e-07  2.3562e-06
  6.7085e-06  1.7623e-05  4.3037e-05  9.8261e-05  2.1074e-04  4.2621e-04  8.1566e-04
  1.4816e-03  2.5619e-03  4.2285e-03  6.6808e-03  1.0132e-02  1.4790e-02  2.0842e-02
  2.8433e-02  3.7657e-02  4.8550e-02  6.1093e-02  7.5220e-02  9.0822e-02  1.0776e-01
  1.2589e-01  1.4503e-01  1.6503e-01  1.8569e-01  2.0686e-01  2.2836e-01  2.5002e-01
  2.7169e-01  2.9318e-01  3.1435e-01  3.3500e-01  3.5499e-01  3.7412e-01  3.9224e-01
  4.0918e-01  4.2477e-01  4.3889e-01  4.5143e-01  4.6232e-01  4.7155e-01  4.7914e-01
  4.8519e-01  4.8986e-01  4.9331e-01  4.9577e-01  4.9744e-01  4.9852e-01  4.9919e-01
  4.9958e-01  4.9979e-01  4.9990e-01  4.9996e-01  4.9998e-01  4.9999e-01  5.0000e-01
  5.0000e-01  5.0000e-01  5.0000e-01  5.0000e-01  5.0000e-01  5.0000e-01  5.0000e-01
  5.0000e-01  5.0000e-01  5.0000e-01  5.0000e-01  4.9999e-01  4.9995e-01  4.9983e-01
  4.9943e-01  4.9825e-01  4.9489e-01  4.8608e-01  4.6517e-01  4.2185e-01  3.4789e-01
  2.4966e-01  1.5165e-01  7.8014e-02  3.4795e-02  1.3867e-02  5.0574e-03  1.7108e-03
  5.3924e-04  1.5810e-04  4.2831e-05  1.0596e-05  2.3499e-06  4.5305e-07  7.1654e-08
  8.1298e-09


final statistics for mf = 21:  103 steps,   122 res,    17 jacobians,
                              rwork size =  5368,  iwork size =   317
final output is correct to within  1.12e+01  times local error tolerance. 




******************************************************************************************

run with rtol =  1.0e-06  atol =  1.0e-06   mf = 22



 at time t = 1.00000e-01  current h = 5.75381e-03  current order = 4  current nst =   72

 at time t = 2.00000e-01  current h = 9.25746e-03  current order = 5  current nst =   85

 at time t = 3.00000e-01  current h = 1.22938e-02  current order = 5  current nst =   95

 at time t = 4.00000e-01  current h = 1.22938e-02  current order = 5  current nst =  103

 values of pde component i =  1
  1.7096e-03  3.4340e-03  5.1878e-03  6.9852e-03  8.8392e-03  1.0762e-02  1.2765e-02
  1.4857e-02  1.7047e-02  1.9339e-02  2.1739e-02  2.4249e-02  2.6868e-02  2.9596e-02
  3.2428e-02  3.5359e-02  3.8382e-02  4.1491e-02  4.4675e-02  4.7927e-02  5.1237e-02
  5.4596e-02  5.7995e-02  6.1427e-02  6.4885e-02  6.8363e-02  7.1856e-02  7.5360e-02
  7.8871e-02  8.2387e-02  8.5906e-02  8.9427e-02  9.2948e-02  9.6470e-02  9.9992e-02
  1.0351e-01  1.0703e-01  1.1055e-01  1.1407e-01  1.1758e-01  1.2109e-01  1.2459e-01
  1.2808e-01  1.3156e-01  1.3502e-01  1.3845e-01  1.4184e-01  1.4520e-01  1.4850e-01
  1.5174e-01  1.5490e-01  1.5798e-01  1.6095e-01  1.6380e-01  1.6652e-01  1.6910e-01
  1.7151e-01  1.7374e-01  1.7579e-01  1.7763e-01  1.7926e-01  1.8065e-01  1.8179e-01
  1.8267e-01  1.8327e-01  1.8358e-01  1.8357e-01  1.8322e-01  1.8252e-01  1.8143e-01
  1.7994e-01  1.7801e-01  1.7561e-01  1.7271e-01  1.6927e-01  1.6526e-01  1.6063e-01
  1.5536e-01  1.4940e-01  1.4272e-01  1.3530e-01  1.2715e-01  1.1831e-01  1.0891e-01
  9.9156e-02  8.9352e-02  7.9782e-02  7.0666e-02  6.2124e-02  5.4199e-02  4.6885e-02
  4.0147e-02  3.3936e-02  2.8195e-02  2.2864e-02  1.7875e-02  1.3163e-02  8.6593e-03
  4.2948e-03
 values of pde component i =  2
  7.1743e-06  1.7078e-05  3.3125e-05  6.0159e-05  1.0534e-04  1.7917e-04  2.9672e-04
  4.7886e-04  7.5360e-04  1.1571e-03  1.7342e-03  2.5385e-03  3.6310e-03  5.0780e-03
  6.9478e-03  9.3064e-03  1.2213e-02  1.5715e-02  1.9846e-02  2.4620e-02  3.0037e-02
  3.6076e-02  4.2706e-02  4.9881e-02  5.7551e-02  6.5661e-02  7.4154e-02  8.2976e-02
  9.2075e-02  1.0140e-01  1.1091e-01  1.2056e-01  1.3032e-01  1.4014e-01  1.5000e-01
  1.5985e-01  1.6968e-01  1.7943e-01  1.8908e-01  1.9860e-01  2.0792e-01  2.1702e-01
  2.2585e-01  2.3434e-01  2.4245e-01  2.5012e-01  2.5730e-01  2.6393e-01  2.6997e-01
  2.7538e-01  2.8016e-01  2.8429e-01  2.8779e-01  2.9070e-01  2.9306e-01  2.9493e-01
  2.9637e-01  2.9747e-01  2.9827e-01  2.9885e-01  2.9925e-01  2.9952e-01  2.9971e-01
  2.9982e-01  2.9990e-01  2.9994e-01  2.9996e-01  2.9998e-01  2.9997e-01  2.9996e-01
  2.9993e-01  2.9985e-01  2.9971e-01  2.9944e-01  2.9894e-01  2.9804e-01  2.9644e-01
  2.9368e-01  2.8904e-01  2.8142e-01  2.6932e-01  2.5087e-01  2.2446e-01  1.8989e-01
  1.4990e-01  1.0993e-01  7.5404e-02  4.9026e-02  3.0608e-02  1.8516e-02  1.0910e-02
  6.2772e-03  3.5300e-03  1.9405e-03  1.0422e-03  5.4597e-04  2.7739e-04  1.3335e-04
  5.3268e-05
 values of pde component i =  3
  1.9160e-10  1.9732e-09  1.1907e-08  5.5465e-08  2.1827e-07  7.5580e-07  2.3560e-06
  6.7081e-06  1.7623e-05  4.3036e-05  9.8259e-05  2.1074e-04  4.2621e-04  8.1565e-04
  1.4816e-03  2.5619e-03  4.2285e-03  6.6808e-03  1.0132e-02  1.4790e-02  2.0842e-02
  2.8433e-02  3.7657e-02  4.8550e-02  6.1093e-02  7.5220e-02  9.0822e-02  1.0776e-01
  1.2589e-01  1.4503e-01  1.6503e-01  1.8569e-01  2.0686e-01  2.2836e-01  2.5002e-01
  2.7169e-01  2.9318e-01  3.1435e-01  3.3500e-01  3.5499e-01  3.7412e-01  3.9224e-01
  4.0918e-01  4.2477e-01  4.3889e-01  4.5143e-01  4.6232e-01  4.7155e-01  4.7914e-01
  4.8519e-01  4.8986e-01  4.9331e-01  4.9577e-01  4.9744e-01  4.9852e-01  4.9919e-01
  4.9958e-01  4.9979e-01  4.9990e-01  4.9996e-01  4.9998e-01  4.9999e-01  5.0000e-01
  5.0000e-01  5.0000e-01  5.0000e-01  5.0000e-01  5.0000e-01  5.0000e-01  5.0000e-01
  5.0000e-01  5.0000e-01  5.0000e-01  5.0000e-01  4.9999e-01  4.9995e-01  4.9983e-01
  4.9943e-01  4.9825e-01  4.9489e-01  4.8608e-01  4.6517e-01  4.2185e-01  3.4789e-01
  2.4966e-01  1.5165e-01  7.8014e-02  3.4795e-02  1.3867e-02  5.0575e-03  1.7108e-03
  5.3924e-04  1.5810e-04  4.2831e-05  1.0596e-05  2.3499e-06  4.5302e-07  7.1610e-08
  8.1021e-09


final statistics for mf = 22:  103 steps,   292 res,    17 jacobians,
                              rwork size =  5368,  iwork size =   317
final output is correct to within  1.15e+01  times local error tolerance. 


******************************************************************************************

run completed:   0 errors encountered
rc= 0
** odrpack/odrtest.f

 example  1

 test simple odr problem
 with analytic derivatives using dodr.
 data set reference:  draper and smith, 1981, exercise i, page 521-522                               
 ******************************************************* 
 * odrpack version 2.01 of 06-19-92 (double precision) * 
 ******************************************************* 


 *** initial summary for fit by method of odr ***

 --- problem size:
            n =     8          (number with nonzero weight =     8)
           nq =     1
            m =     2
           np =     2          (number unfixed =     2)

 --- control values:
          job =    20
              = abcde, where
                       a=0 ==> fit is not a restart.
                       b=0 ==> deltas are initialized to zero.
                       c=0 ==> covariance matrix will be computed using
                               derivatives re-evaluated at the solution.
                       d=2 ==> derivatives are supplied by user.
                               derivatives were checked.
                               results appear correct.
                       e=0 ==> method is explicit odr.
       ndigit =    16          (estimated by odrpack)
       taufac =     1.00e+00

 --- stopping criteria:
        sstol =     1.49e-08   (sum of squares stopping tolerance)
       partol =     3.67e-11   (parameter stopping tolerance)
        maxit =    50          (maximum number of iterations)

 --- initial weighted sum of squares        =                    6.76620105e-01
         sum of squared weighted deltas     =   0.00000000e+00
         sum of squared weighted epsilons   =   6.76620105e-01

 --- function parameter summary:

       index         beta(k)    fixed           scale              
                                                                   
         (k)                  (ifixb)          (sclb)              

           1  1.15500000e-02       no  8.65800866e+01              
           2  5.00000000e+03       no  2.00000000e-04              

 --- explanatory variable and delta weight summary:

       index      x(i,j)  delta(i,j)    fixed     scale    weight              
                                                                               
       (i,j)                          (ifixx)    (scld)      (wd)              

         1,1   1.090e+02   0.000e+00       no  9.17e-03  1.00e+00              
         n,1   6.800e+01   0.000e+00       no  1.47e-02  1.00e+00              
 
         1,2   6.000e+02   0.000e+00       no  1.56e-03  1.00e+00              
         n,2   6.400e+02   0.000e+00       no  1.56e-03  1.00e+00              

 --- response variable and epsilon error weight summary:

       index      y(i,l)      weight
       (i,l)                    (we)

         1,1   9.120e-01   1.000e+00    
         n,1   3.760e-01   1.000e+00    

 *** iteration reports for fit by method of odr ***


         cum.                 act. rel.   pred. rel.
  it.  no. fn     weighted   sum-of-sqs   sum-of-sqs              g-n
 num.   evals   sum-of-sqs    reduction    reduction  tau/pnorm  step
 ----  ------  -----------  -----------  -----------  ---------  ----

    1      18  1.96944e-01   7.0893e-01   4.1620e-01  1.510e+00   yes       
    2      19  1.86553e-03   9.9053e-01   9.9572e-01  6.711e-01   yes       
    3      20  7.53265e-04   5.9622e-01   5.9632e-01  4.625e-02   yes       
    4      21  7.53264e-04   7.5670e-07   7.5713e-07  2.259e-05   yes       
    5      22  7.53264e-04   3.2507e-13   3.3214e-13  1.810e-08   yes       

 *** final summary for fit by method of odr ***

 --- stopping conditions:
         info =     1 ==> sum of squares convergence.
        niter =     5          (number of iterations)
         nfev =    22          (number of function evaluations)
         njev =     6          (number of jacobian evaluations)
        irank =     0          (rank deficiency)
        rcond =     8.70e-02   (inverse condition number)
        istop =     0          (returned by user from subroutine fcn)

 --- final weighted sums of squares       =                     7.53263957e-04
         sum of squared weighted deltas   =    5.82361429e-07
         sum of squared weighted epsilons =    7.52681595e-04

 --- residual standard deviation          =                     1.12046416e-02
         degrees of freedom               =    6

 --- estimated beta(j), j = 1, ..., np:

                     beta      s.d. beta    ---- 95%  confidence interval ----

       1   3.65797302e-03     4.2218e-05     3.55466818e-03 to  3.76127786e-03
       2   2.76273320e+04     2.2245e+02     2.70830140e+04 to  2.81716499e+04

 --- estimated epsilon(i) and delta(i,*), i = 1, ..., n:
\n         i    epsilon(i,1)      delta(i,1)      delta(i,2)\n
         1  1.67519647e-03  1.26771981e-06  1.06044027e-05
         2  2.04207811e-03  1.15465196e-05  5.06224853e-05
         3 -2.06741955e-02 -6.44374753e-06 -5.83522780e-04
         4  2.42895060e-03  1.35332858e-05  6.02457198e-05
         5  7.27227474e-03  2.10381027e-06  2.05043707e-04
         6  4.07668337e-03  2.17324633e-05  1.01143283e-04
         7  1.30331782e-02  3.89740068e-06  3.67888393e-04
         8 -8.54482325e-03 -4.62274242e-05 -2.12025259e-04

 comparison of new results with double precision cray ymp result:

                         norm of beta        sum of squared wtd obs errors  info

 cray ymp result =       
                2.762733195780257e+04                7.532639569022919e-04     1

 new test result      =  
                2.762733195759231e+04                7.532639569023404e-04     1

 difference           =   2.10264e-07                          4.84638e-17

 relative error       =   7.61073e-12                          6.43385e-14


 *** results agree to within stopping tolerance. ***



 example  2

 test simple ols problem
 with finite difference derivatives using dodr.
 data set reference:  draper and smith, 1981, exercise i, page 521-522                               
 ******************************************************* 
 * odrpack version 2.01 of 06-19-92 (double precision) * 
 ******************************************************* 


 *** initial summary for fit by method of ols ***

 --- problem size:
            n =     8          (number with nonzero weight =     8)
           nq =     1
            m =     2
           np =     2          (number unfixed =     2)

 --- control values:
          job =     2
              = abcde, where
                       a=0 ==> fit is not a restart.
                       b=0 ==> deltas are fixed at zero since e=2.
                       c=0 ==> covariance matrix will be computed using
                               derivatives re-evaluated at the solution.
                       d=0 ==> derivatives are estimated by forward differences.
                       e=2 ==> method is explicit ols.
       ndigit =    16          (estimated by odrpack)
       taufac =     1.00e+00

 --- stopping criteria:
        sstol =     1.49e-08   (sum of squares stopping tolerance)
       partol =     3.67e-11   (parameter stopping tolerance)
        maxit =    50          (maximum number of iterations)

 --- initial weighted sum of squares        =                    6.76620105e-01

 --- function parameter summary:

       index         beta(k)    fixed           scale    derivative
                                                          step size
         (k)                  (ifixb)          (sclb)        (stpb)

           1  1.15500000e-02       no  8.65800866e+01   1.00000e-10
           2  5.00000000e+03       no  2.00000000e-04   1.00000e-10

 --- explanatory variable summary:

       index      x(i,j)
       (i,j)            

         1,1   1.090e+02
         n,1   6.800e+01
 
         1,2   6.000e+02
         n,2   6.400e+02

 --- response variable and epsilon error weight summary:

       index      y(i,l)      weight
       (i,l)                    (we)

         1,1   9.120e-01   1.000e+00    
         n,1   3.760e-01   1.000e+00    

 *** iteration reports for fit by method of ols ***


         cum.                 act. rel.   pred. rel.
  it.  no. fn     weighted   sum-of-sqs   sum-of-sqs              g-n
 num.   evals   sum-of-sqs    reduction    reduction  tau/pnorm  step
 ----  ------  -----------  -----------  -----------  ---------  ----

    1       8  1.96943e-01   7.0893e-01   4.1620e-01  1.510e+00   yes       
    2      11  1.86598e-03   9.9053e-01   9.9572e-01  6.711e-01   yes       
    3      14  7.53847e-04   5.9600e-01   5.9610e-01  4.625e-02   yes       
    4      17  7.53847e-04   3.6729e-07   3.6713e-07  2.239e-05   yes       
    5      20  7.53847e-04  -1.0245e-12   2.7309e-13  1.842e-09   yes       

 *** final summary for fit by method of ols ***

 --- stopping conditions:
         info =     1 ==> sum of squares convergence.
        niter =     5          (number of iterations)
         nfev =    22          (number of function evaluations)
        irank =     0          (rank deficiency)
        rcond =     8.70e-02   (inverse condition number)
        istop =     0          (returned by user from subroutine fcn)

 --- final weighted sums of squares       =                     7.53846772e-04

 --- residual standard deviation          =                     1.12089754e-02
         degrees of freedom               =    6

 --- estimated beta(j), j = 1, ..., np:

                     beta      s.d. beta    ---- 95%  confidence interval ----

       1   3.65797263e-03     4.2220e-05     3.55466514e-03 to  3.76128013e-03
       2   2.76273264e+04     2.2246e+02     2.70829949e+04 to  2.81716578e+04

 --- estimated epsilon(i,  1), i = 1, ..., n:

           index           value -------------->

       1 to    4  1.67524862e-03  2.04354056e-03 -2.06907384e-02  2.43066262e-03
       5 to    8  7.27798562e-03  4.07945098e-03  1.30434927e-02 -8.55019200e-03

 comparison of new results with double precision cray ymp result:

                         norm of beta        sum of squared wtd obs errors  info

 cray ymp result =       
                2.762732630143673e+04                7.538467722687131e-04     1

 new test result      =  
                2.762732638673554e+04                7.538467722691078e-04     1

 difference           =   8.52988e-05                          3.94650e-16

 relative error       =   3.08748e-09                          5.23514e-13


 *** results agree to within stopping tolerance. ***



 example  3

 test parameter fixing capabilities for poorly scaled ols problem
 with analytic derivatives using dodrc.
 data set reference:  boggs, byrd and schnabel, 1985, example 3                                      
 ******************************************************* 
 * odrpack version 2.01 of 06-19-92 (double precision) * 
 ******************************************************* 


 *** initial summary for fit by method of ols ***

 --- problem size:
            n =    44          (number with nonzero weight =    44)
           nq =     1
            m =     1
           np =     9          (number unfixed =     4)

 --- control values:
          job =    42
              = abcde, where
                       a=0 ==> fit is not a restart.
                       b=0 ==> deltas are fixed at zero since e=2.
                       c=0 ==> covariance matrix will be computed using
                               derivatives re-evaluated at the solution.
                       d=4 ==> derivatives are supplied by user.
                               derivatives were not checked.
                       e=2 ==> method is explicit ols.
       ndigit =    16          (estimated by odrpack)
       taufac =     1.00e+00

 --- stopping criteria:
        sstol =     1.49e-08   (sum of squares stopping tolerance)
       partol =     3.67e-11   (parameter stopping tolerance)
        maxit =    50          (maximum number of iterations)

 --- initial weighted sum of squares        =                    7.28536065e+16

 --- function parameter summary:

       index         beta(k)    fixed           scale              
                                                                   
         (k)                  (ifixb)          (sclb)              

           1  2.81887509e-06       no  3.54751440e+05              
           2 -2.31290549e-03       no  4.32356620e+02              
           3  5.83035556e+00       no  1.71516126e-01              
           4  0.00000000e+00      yes  3.54751440e+06              
           5  4.06910776e+07       no  2.45754121e-08              
           6  1.38001105e-03      yes  7.24631878e+02              
           7  5.96038513e-02      yes  1.67774393e+01              
           8  6.70582099e+00      yes  1.49124172e-01              
           9  1.06994410e+09      yes  9.34628267e-10              

 --- explanatory variable summary:

       index      x(i,j)
       (i,j)            

         1,1   2.500e-09
         n,1   1.000e+00

 --- response variable and epsilon error weight summary:

       index      y(i,l)      weight
       (i,l)                    (we)

         1,1   9.882e-01   1.000e+00    
         n,1   9.473e-01   1.000e+00    

 *** iteration reports for fit by method of ols ***


         cum.                 act. rel.   pred. rel.
  it.  no. fn     weighted   sum-of-sqs   sum-of-sqs              g-n
 num.   evals   sum-of-sqs    reduction    reduction  tau/pnorm  step
 ----  ------  -----------  -----------  -----------  ---------  ----

    1       6  1.21281e-05   1.0000e+00   1.0000e+00  1.492e+00   yes       
    2       7  1.21281e-05   9.5536e-11   9.5522e-11  5.559e-06   yes       

 *** final summary for fit by method of ols ***

 --- stopping conditions:
         info =     1 ==> sum of squares convergence.
        niter =     2          (number of iterations)
         nfev =     7          (number of function evaluations)
         njev =     3          (number of jacobian evaluations)
        irank =     0          (rank deficiency)
        rcond =     1.29e-11   (inverse condition number)
        istop =     0          (returned by user from subroutine fcn)

 --- final weighted sums of squares       =                     1.21280859e-05

 --- residual standard deviation          =                     5.50637947e-04
         degrees of freedom               =   40

 --- estimated beta(j), j = 1, ..., np:

                     beta      s.d. beta    ---- 95%  confidence interval ----

       1   2.38645545e-06     4.4960e-07     1.47777105e-06 to  3.29513984e-06
       2  -2.20450067e-03     4.0156e-05    -2.28565970e-03 to -2.12334164e-03
       3   3.82273198e+00     3.8316e-02     3.74529214e+00 to  3.90017183e+00
       4   0.00000000e+00          fixed
       5   4.53364001e-01     5.2741e-03     4.42704540e-01 to  4.64023461e-01
       6   1.38001105e-03          fixed
       7   5.96038513e-02          fixed
       8   6.70582099e+00          fixed
       9   1.06994410e+09          fixed

 --- estimated epsilon(i,  1), i = 1, ..., n:

           index           value -------------->

       1 to    4 -5.85324109e-05 -9.89224867e-05 -1.71864030e-04 -2.11456078e-04
       5 to    8 -1.06612999e-04 -1.60370107e-04 -1.43278823e-04 -1.34968263e-04
       9 to   12 -1.60812918e-04 -1.51389652e-04 -1.19183078e-04 -2.93209254e-05
      13 to   16  1.08239237e-06  7.94004452e-05  1.18795055e-04  3.21769268e-04
      17 to   20  4.09322682e-04  4.95327906e-04  6.44709193e-04  7.10211016e-04
      21 to   24  6.96631790e-04  6.54863075e-04  4.84585766e-04  2.18339263e-04
      25 to   28  1.85543339e-05 -5.72168484e-06 -6.98195693e-05 -5.27688631e-05
      29 to   32 -3.09355634e-04 -6.82422839e-04 -1.05015195e-03 -1.24256230e-03
      33 to   36 -1.18147768e-03 -9.69898761e-04 -3.02918582e-04  5.21338703e-04
      37 to   40  9.05536868e-04  1.11473330e-03  7.90515099e-04  3.26581432e-04
      41 to   44 -3.27114252e-04 -2.76556749e-04 -5.87219618e-04  9.24026601e-05

 comparison of new results with double precision cray ymp result:

                         norm of beta        sum of squared wtd obs errors  info

 cray ymp result =       
                1.069944100000000e+09                1.212808593256056e-05     3

 new test result      =  
                1.069944100000000e+09                1.212808593255996e-05     1

 difference           =   0.00000e+00                          6.01393e-19

 relative error       =   0.00000e+00                          4.95868e-14


 *** results agree to within stopping tolerance. ***



 example  4

 test weighting capabilities for odr problem
 with analytic derivatives using dodrc. 
 also shows solution of poorly scaled odr problem.
 (derivative checking turned off.)
 data set reference:  boggs, byrd and schnabel, 1985, example 3                                      
 ******************************************************* 
 * odrpack version 2.01 of 06-19-92 (double precision) * 
 ******************************************************* 


 *** initial summary for fit by method of odr ***

 --- problem size:
            n =    44          (number with nonzero weight =    43)
           nq =     1
            m =     1
           np =     9          (number unfixed =     6)

 --- control values:
          job =    30
              = abcde, where
                       a=0 ==> fit is not a restart.
                       b=0 ==> deltas are initialized to zero.
                       c=0 ==> covariance matrix will be computed using
                               derivatives re-evaluated at the solution.
                       d=3 ==> derivatives are supplied by user.
                               derivatives were not checked.
                       e=0 ==> method is explicit odr.
       ndigit =    16          (estimated by odrpack)
       taufac =     1.00e+00

 --- stopping criteria:
        sstol =     1.49e-08   (sum of squares stopping tolerance)
       partol =     3.67e-11   (parameter stopping tolerance)
        maxit =    50          (maximum number of iterations)

 --- initial weighted sum of squares        =                    1.21253014e-05
         sum of squared weighted deltas     =   0.00000000e+00
         sum of squared weighted epsilons   =   1.21253014e-05

 --- function parameter summary:

       index         beta(k)    fixed           scale              
                                                                   
         (k)                  (ifixb)          (sclb)              

           1  2.38645545e-06       no  4.19031498e+05              
           2 -2.20450067e-03       no  4.53617462e+02              
           3  3.82273198e+00       no  2.61593019e-01              
           4  0.00000000e+00      yes  4.19031498e+06              
           5  4.53364001e-01       no  2.20573314e+00              
           6  1.38001105e-03       no  7.24631878e+02              
           7  5.96038513e-02       no  1.67774393e+01              
           8  6.70582099e+00      yes  1.49124172e-01              
           9  1.06994410e+09      yes  9.34628267e-10              

 --- explanatory variable and delta weight summary:

       index      x(i,j)  delta(i,j)    fixed     scale    weight              
                                                                               
       (i,j)                          (ifixx)    (scld)      (wd)              

         1,1   2.500e-09   0.000e+00       no  4.00e+08  1.60e+13              
         n,1   1.000e+00   0.000e+00       no  1.00e+00  1.00e-04              

 --- response variable and epsilon error weight summary:

       index      y(i,l)      weight
       (i,l)                    (we)

         1,1   9.882e-01   1.000e+00    
         n,1   9.473e-01   1.000e+00    

 *** iteration reports for fit by method of odr ***


         cum.                 act. rel.   pred. rel.
  it.  no. fn     weighted   sum-of-sqs   sum-of-sqs              g-n      beta -------------->
 num.   evals   sum-of-sqs    reduction    reduction  tau/pnorm  step     index           value
 ----  ------  -----------  -----------  -----------  ---------  ----     -----           -----

    1       8  5.61552e-06   5.3688e-01   6.0227e-01  1.254e-01    no   1 to  3  2.61670550e-06 -1.84847540e-03  3.81743723e+00
                                                                        4 to  6  0.00000000e+00  4.52780748e-01  1.17294940e-03
                                                                        7 to  9  5.14825868e-02  6.70582099e+00  1.06994410e+09
    4      14  1.20726e-06   3.8806e-01   4.3619e-01  1.718e-01    no   1 to  3  4.42164742e-06 -1.27576009e-03  3.52384009e+00
                                                                        4 to  6  0.00000000e+00  4.92690445e-01  1.19191347e-03
                                                                        7 to  9  3.79861567e-02  6.70582099e+00  1.06994410e+09
    7      20  7.87180e-07   9.9505e-02   1.1349e-01  1.097e-01    no   1 to  3  7.45301071e-06 -1.19673931e-03  3.48901832e+00
                                                                        4 to  6  0.00000000e+00  4.97376025e-01  1.65051648e-03
                                                                        7 to  9  3.53474898e-02  6.70582099e+00  1.06994410e+09
   10      25  6.28791e-07   8.1375e-02   1.1318e-01  1.295e-01    no   1 to  3  1.15483151e-05 -1.13356151e-03  3.45980744e+00
                                                                        4 to  6  0.00000000e+00  5.01308411e-01  2.15310228e-03
                                                                        7 to  9  3.30381120e-02  6.70582099e+00  1.06994410e+09
   13      28  5.58511e-07   2.2830e-02   3.5267e-02  9.439e-02    no   1 to  3  1.64242675e-05 -1.08860021e-03  3.43773581e+00
                                                                        4 to  6  0.00000000e+00  5.04280654e-01  2.62714475e-03
                                                                        7 to  9  3.12106008e-02  6.70582099e+00  1.06994410e+09
   16      31  5.45208e-07   4.9324e-03   4.9324e-03  4.697e-03   yes   1 to  3  1.95894709e-05 -1.06852377e-03  3.42732564e+00
                                                                        4 to  6  0.00000000e+00  5.05682583e-01  2.88788569e-03
                                                                        7 to  9  3.03155365e-02  6.70582099e+00  1.06994410e+09

 *** final summary for fit by method of odr ***

 --- stopping conditions:
         info =     1 ==> sum of squares convergence.
        niter =    17          (number of iterations)
         nfev =    32          (number of function evaluations)
         njev =    18          (number of jacobian evaluations)
        irank =     0          (rank deficiency)
        rcond =     1.47e-05   (inverse condition number)
        istop =     0          (returned by user from subroutine fcn)

 --- final weighted sums of squares       =                     5.45208463e-07
         sum of squared weighted deltas   =    3.42359109e-07
         sum of squared weighted epsilons =    2.02849354e-07

 --- residual standard deviation          =                     1.21389307e-04
         degrees of freedom               =   37

 --- estimated beta(j), j = 1, ..., np:

                     beta      s.d. beta    ---- 95%  confidence interval ----

       1   1.95896506e-05     5.2652e-06     8.92132429e-06 to  3.02579770e-05
       2  -1.06852151e-03     4.0956e-05    -1.15150733e-03 to -9.85535692e-04
       3   3.42732422e+00     3.3460e-02     3.35952743e+00 to  3.49512102e+00
       4   0.00000000e+00          fixed
       5   5.05682776e-01     4.6737e-03     4.96213014e-01 to  5.15152539e-01
       6   2.88789682e-03     4.2486e-04     2.02704328e-03 to  3.74875036e-03
       7   3.03154590e-02     1.5303e-03     2.72147165e-02 to  3.34162015e-02
       8   6.70582099e+00          fixed
       9   1.06994410e+09          fixed

 --- estimated epsilon(i) and delta(i,*), i = 1, ..., n:
\n         i    epsilon(i,1)      delta(i,1)\n
         1  8.85704614e-05  6.98843476e-18
         2  4.81782606e-05  2.49126529e-17
         3 -2.47652440e-05 -3.12643640e-17
         4 -6.44008812e-05 -6.58477834e-15
         5  3.99462567e-05  5.03680509e-13
         6 -1.54472294e-05 -3.10491252e-12
         7 -1.08794814e-06 -1.10028017e-12
         8  3.38839665e-06  1.07375440e-11
         9 -3.34647877e-05 -5.23790915e-10
        10 -3.95633534e-05 -1.89047768e-09
        11 -2.74448529e-05 -3.06142579e-09
        12  3.77539089e-05  8.26372134e-09
        13  2.28560536e-05  1.10178971e-08
        14  5.82190084e-06  7.03986833e-09
        15 -6.81553078e-05 -1.45785334e-07
        16  1.37311975e-05  3.83594668e-08
        17 -1.58688240e-05 -3.81391617e-08
        18 -3.32724245e-05  1.87300323e-10
        19  3.37523234e-05 -1.85167391e-07
        20  4.22264215e-05 -6.36459049e-07
        21 -3.75576871e-06  1.88580887e-07
        22  2.00621152e-05 -2.22759156e-06
        23 -5.50627156e-06  1.10401389e-06
        24 -6.88013739e-05  2.19196573e-05
        25 -5.04979294e-05  2.33881198e-05
        26  2.10761672e-05 -1.14828512e-05
        27  5.74011372e-05 -3.62530551e-05
        28  3.02389774e-04  0.00000000e+00
        29  1.74166008e-04 -1.77161571e-04
        30  1.98064654e-05 -2.39431909e-05
        31 -7.90410048e-05  1.24670749e-04
        32 -1.47683404e-04  2.76450567e-04
        33 -1.12277273e-04  2.31472249e-04
        34 -4.79553114e-05  9.93157475e-05
        35  1.40511415e-04 -1.42581252e-04
        36  1.62614218e-04  7.17271525e-04
        37  1.08724514e-04  1.23259791e-03
        38 -1.15956129e-05 -4.16815657e-04
        39 -6.38721344e-05 -4.42575705e-03
        40 -1.03209160e-04 -9.45381806e-03
        41 -9.34250030e-05 -1.39895132e-02
        42 -1.23336490e-05 -3.09254631e-03
        43  1.69666481e-05  6.57971401e-03
        44  6.58708761e-05  3.70510371e-02

 comparison of new results with double precision cray ymp result:

                         norm of beta        sum of squared wtd obs errors  info

 cray ymp result =       
                1.069944100000000e+09                5.452084633790606e-07     1

 new test result      =  
                1.069944100000000e+09                5.452084633791507e-07     1

 difference           =   0.00000e+00                          9.01031e-20

 relative error       =   0.00000e+00                          1.65264e-13


 *** results agree to within stopping tolerance. ***



 example  5

 test delta initialization capabilities
 and use of istop to restrict parameter values for odr problem
 with analytic derivatives using dodrc.
 data set reference:  boggs, byrd and schnabel, 1985, example 1                                      
 ******************************************************* 
 * odrpack version 2.01 of 06-19-92 (double precision) * 
 ******************************************************* 


 *** initial summary for fit by method of odr ***

 --- problem size:
            n =    40          (number with nonzero weight =    40)
           nq =     1
            m =     1
           np =     2          (number unfixed =     2)

 --- control values:
          job =  1020
              = abcde, where
                       a=0 ==> fit is not a restart.
                       b=1 ==> deltas are initialized by user.
                       c=0 ==> covariance matrix will be computed using
                               derivatives re-evaluated at the solution.
                       d=2 ==> derivatives are supplied by user.
                               derivatives were checked.
                               results appear correct.
                       e=0 ==> method is explicit odr.
       ndigit =    16          (estimated by odrpack)
       taufac =     1.00e+00

 --- stopping criteria:
        sstol =     1.49e-08   (sum of squares stopping tolerance)
       partol =     3.67e-11   (parameter stopping tolerance)
        maxit =    50          (maximum number of iterations)

 --- initial weighted sum of squares        =                    2.13003002e+02
         sum of squared weighted deltas     =   2.22998645e-03
         sum of squared weighted epsilons   =   2.13000772e+02

 --- function parameter summary:

       index         beta(k)    fixed           scale              
                                                                   
         (k)                  (ifixb)          (sclb)              

           1  1.00000000e+00       no  2.00000000e-01              
           2  1.00000000e+00       no  1.00000000e+00              

 --- explanatory variable and delta weight summary:

       index      x(i,j)  delta(i,j)    fixed     scale    weight              
                                                                               
       (i,j)                          (ifixx)    (scld)      (wd)              

         1,1  -2.137e-02   0.000e+00       no  2.00e+00  1.00e+00              
         n,1   1.993e+00   0.000e+00       no  2.00e+00  1.00e+00              

 --- response variable and epsilon error weight summary:

       index      y(i,l)      weight
       (i,l)                    (we)

         1,1  -1.196e+00   1.000e+00    
         n,1   1.262e+00   1.000e+00    

 *** iteration reports for fit by method of odr ***


         cum.                 act. rel.   pred. rel.
  it.  no. fn     weighted   sum-of-sqs   sum-of-sqs              g-n
 num.   evals   sum-of-sqs    reduction    reduction  tau/pnorm  step
 ----  ------  -----------  -----------  -----------  ---------  ----

    1      15  2.61860e+01   8.7706e-01   9.9181e-01  7.180e-02    no       
    2      19  2.69487e+00   8.9709e-01   9.5185e-01  5.373e-02    no       
    3      22  1.14955e+00   5.7343e-01   5.8129e-01  2.076e-02    no       
    4      24  1.09672e+00   4.5960e-02   4.6016e-02  4.042e-03    no       
    5      26  1.08906e+00   6.9802e-03   6.9780e-03  8.578e-04    no       
    6      29  1.08621e+00   2.6219e-03   2.6215e-03  3.355e-04    no       
    7      32  1.08509e+00   1.0280e-03   1.0280e-03  1.332e-04    no       
    8      34  1.08487e+00   2.0456e-04   2.0456e-04  2.659e-05    no       
    9      37  1.08478e+00   8.1706e-05   8.1705e-05  1.063e-05    no       
   10      40  1.08475e+00   3.2663e-05   3.2663e-05  4.252e-06    no       
   11      43  1.08473e+00   1.3062e-05   1.3062e-05  1.700e-06    no       
   12      44  1.08473e+00   1.3062e-06   1.3062e-06  1.700e-07    no       
   13      48  1.08473e+00   1.0449e-06   1.0449e-06  1.360e-07    no       
   14      49  1.08473e+00   1.0449e-07   1.0449e-07  1.360e-08    no       
   15      52  1.08473e+00   4.1797e-08   4.1797e-08  5.441e-09    no       
   16      55  1.08473e+00   1.6719e-09   1.6719e-09  2.177e-10    no       

 *** final summary for fit by method of odr ***

 --- stopping conditions:
         info =     1 ==> sum of squares convergence.
        niter =    16          (number of iterations)
         nfev =    55          (number of function evaluations)
         njev =    17          (number of jacobian evaluations)
        irank =     0          (rank deficiency)
        rcond =     4.55e-01   (inverse condition number)
        istop =     0          (returned by user from subroutine fcn)

 --- final weighted sums of squares       =                     1.08472869e+00
         sum of squared weighted deltas   =    8.40017240e-03
         sum of squared weighted epsilons =    1.07632852e+00

 --- residual standard deviation          =                     1.68954111e-01
         degrees of freedom               =   38

 --- estimated beta(j), j = 1, ..., np:

                     beta      s.d. beta    ---- 95%  confidence interval ----

       1   1.01000000e+00     5.4611e-02     8.99445893e-01 to  1.12055411e+00
       2   1.00806508e+00     2.8682e-02     9.50000743e-01 to  1.06612941e+00

 --- estimated epsilon(i) and delta(i,*), i = 1, ..., n:
\n         i    epsilon(i,1)      delta(i,1)\n
         1  2.13840659e-01  7.72546758e-04
         2  2.25560304e-01  9.41129554e-04
         3  1.04497486e-01  5.45425660e-04
         4 -1.50874326e-01 -6.68930741e-04
         5 -2.53059717e-01 -1.47995790e-03
         6  1.00819860e-01  7.61395327e-04
         7 -2.08153575e-01 -1.47827218e-03
         8 -2.07020851e-02 -6.56435112e-05
         9  8.29941689e-02  9.01373708e-04
        10  8.32053215e-02  1.31278062e-03
        11 -2.74508126e-02 -1.60088981e-04
        12 -2.31693881e-02 -9.77002251e-05
        13  2.80662023e-01  6.40983340e-03
        14 -2.33380568e-01 -8.18107398e-03
        15  2.90886301e-01  1.07469430e-02
        16  5.51250039e-04  2.30850838e-03
        17 -8.54153789e-03  2.87442762e-03
        18 -3.14043264e-02 -2.69146898e-02
        19 -2.33002803e-02 -4.35952599e-02
        20 -1.25678379e-03  5.32820350e-02
        21 -1.97974568e-05  2.03929764e-02
        22  1.61303539e-03 -3.27077555e-03
        23  2.03791618e-02  4.03459318e-02
        24  3.79059604e-02  2.89275631e-03
        25  1.15361308e-01  1.53906991e-02
        26 -1.59261060e-01 -1.09534748e-02
        27 -4.08298033e-01 -1.48581627e-02
        28  1.32135752e-01  3.24792549e-03
        29  1.05612345e-01  2.07767148e-03
        30  9.18128552e-02  1.14522968e-03
        31 -5.70692650e-02 -1.03708418e-03
        32  3.58111933e-01  4.54918829e-03
        33  1.95909122e-01  2.02871320e-03
        34 -1.92950972e-01 -1.76449168e-03
        35 -1.71485464e-02 -2.84782108e-04
        36 -1.37149959e-01 -9.97503592e-04
        37 -2.06598358e-01 -1.25925941e-03
        38  3.24011770e-02  1.01793800e-04
        39  1.54243454e-01  5.78989068e-04
        40 -2.35594637e-01 -9.23080829e-04

 comparison of new results with double precision cray ymp result:

                         norm of beta        sum of squared wtd obs errors  info

 cray ymp result =       
                1.426988156377259e+00                1.084728687127432e+00     1

 new test result      =  
                1.426988156353227e+00                1.084728687476405e+00     1

 difference           =   2.40321e-11                          3.48973e-10

 relative error       =   1.68411e-11                          3.21715e-10


 *** results agree to within stopping tolerance. ***



 example  6

 test stiff stopping conditions for unscaled odr problem
 with analytic derivatives using dodrc.
 data set reference:  himmelblau, 1970, example 6.2-4, page 188                                      
 ******************************************************* 
 * odrpack version 2.01 of 06-19-92 (double precision) * 
 ******************************************************* 


 *** initial summary for fit by method of odr ***

 --- problem size:
            n =    13          (number with nonzero weight =    13)
           nq =     1
            m =     2
           np =     3          (number unfixed =     3)

 --- control values:
          job =    20
              = abcde, where
                       a=0 ==> fit is not a restart.
                       b=0 ==> deltas are initialized to zero.
                       c=0 ==> covariance matrix will be computed using
                               derivatives re-evaluated at the solution.
                       d=2 ==> derivatives are supplied by user.
                               derivatives were checked.
                               results appear correct.
                       e=0 ==> method is explicit odr.
       ndigit =    16          (estimated by odrpack)
       taufac =     1.00e+00

 --- stopping criteria:
        sstol =     2.22e-14   (sum of squares stopping tolerance)
       partol =     2.22e-16   (parameter stopping tolerance)
        maxit =     2          (maximum number of iterations)

 --- initial weighted sum of squares        =                    1.79305083e-01
         sum of squared weighted deltas     =   0.00000000e+00
         sum of squared weighted epsilons   =   1.79305083e-01

 --- function parameter summary:

       index         beta(k)    fixed           scale              
                                                                   
         (k)                  (ifixb)          (sclb)              

           1  3.00000000e+00       no  3.33333333e-01              
           2  3.00000000e+00       no  3.33333333e-01              
           3 -5.00000000e-01       no  3.33333333e-01              

 --- explanatory variable and delta weight summary:

       index      x(i,j)  delta(i,j)    fixed     scale    weight              
                                                                               
       (i,j)                          (ifixx)    (scld)      (wd)              

         1,1   0.000e+00   0.000e+00       no  1.00e+01  1.00e+00              
         n,1   2.900e+00   0.000e+00       no  3.45e-01  1.00e+00              
 
         1,2   0.000e+00   0.000e+00       no  1.00e+01  1.00e+00              
         n,2   1.800e+00   0.000e+00       no  3.33e-01  1.00e+00              

 --- response variable and epsilon error weight summary:

       index      y(i,l)      weight
       (i,l)                    (we)

         1,1   2.930e+00   1.000e+00    
         n,1   9.810e+00   1.000e+00    

 *** iteration reports for fit by method of odr ***


         cum.                 act. rel.   pred. rel.
  it.  no. fn     weighted   sum-of-sqs   sum-of-sqs              g-n
 num.   evals   sum-of-sqs    reduction    reduction  tau/pnorm  step
 ----  ------  -----------  -----------  -----------  ---------  ----

    1      21  1.48223e-02   9.1733e-01   9.1674e-01  1.050e+00   yes       
    2      22  1.47797e-02   2.8741e-03   2.8968e-03  2.693e-02   yes       

 *** final summary for fit by method of odr ***

 --- stopping conditions:
         info =     4 ==> iteration limit reached.
        niter =     2          (number of iterations)
         nfev =    22          (number of function evaluations)
         njev =     3          (number of jacobian evaluations)
        irank =     0          (rank deficiency)
        rcond =     2.28e-01   (inverse condition number)
        istop =     0          (returned by user from subroutine fcn)

 --- final weighted sums of squares       =                     1.47796721e-02
         sum of squared weighted deltas   =    1.33891597e-02
         sum of squared weighted epsilons =    1.39051238e-03

 --- residual standard deviation          =                     3.84443391e-02
         degrees of freedom               =   10

 --- estimated beta(j), j = 1, ..., np:

                     beta      s.d. beta    ---- 95%  confidence interval ----

       1   3.02127269e+00     3.6888e-02     2.93902959e+00 to  3.10351579e+00
       2   2.95883347e+00     8.3319e-02     2.77306895e+00 to  3.14459799e+00
       3  -5.25432714e-01     3.0453e-02    -5.93328437e-01 to -4.57536992e-01

 --- estimated epsilon(i) and delta(i,*), i = 1, ..., n:
\n         i    epsilon(i,1)      delta(i,1)      delta(i,2)\n
         1  2.30719900e-03 -6.95012295e-03  3.55910649e-03
         2 -1.82563237e-02  5.51320253e-02 -1.69143244e-02
         3  2.15864761e-02 -6.50743998e-02  1.16586122e-02
         4  3.12413384e-03 -9.35402855e-03  9.99213291e-04
         5  6.40415322e-03 -1.93295345e-02  9.86829589e-03
         6  2.82279358e-03 -8.48602806e-03  2.57756334e-03
         7 -1.19110059e-02  3.59974322e-02 -6.51316549e-03
         8  5.71926168e-04 -1.67110502e-03  3.01261303e-04
         9 -2.29090591e-03  6.89012388e-03 -3.54298530e-03
        10 -5.27479950e-03  1.59368352e-02 -4.86034770e-03
        11 -1.37120696e-02  4.14217198e-02 -7.49927629e-03
        12  8.43418310e-03 -2.54123018e-02  4.57142724e-03
        13  9.63073868e-03 -2.90305923e-02  5.79461938e-03

 comparison of new results with double precision cray ymp result:

                         norm of beta        sum of squared wtd obs errors  info

 cray ymp result =       
                4.261321829513979e+00                1.477967210398421e-02     4

 new test result      =  
                4.261321829513979e+00                1.477967210398420e-02     4

 difference           =   0.00000e+00                          1.21431e-17

 relative error       =   0.00000e+00                          8.21606e-16

 *** stopping conditions show convergence not attained. ***
        no further comparisons made between results.



 example  7

 test restart for unscaled odr problem
 with analytic derivatives using dodrc.
 data set reference:  himmelblau, 1970, example 6.2-4, page 188                                      
 ******************************************************* 
 * odrpack version 2.01 of 06-19-92 (double precision) * 
 ******************************************************* 


 *** initial summary for fit by method of odr ***

 --- problem size:
            n =    13          (number with nonzero weight =    13)
           nq =     1
            m =     2
           np =     3          (number unfixed =     3)

 --- control values:
          job = 20220
              = abcde, where
                       a=2 ==> fit is a restart.
                       b=0 ==> deltas are initialized to zero.
                       c=2 ==> covariance matrix will not be computed.
                       d=2 ==> derivatives are supplied by user.
                               derivatives were checked.
                               results appear correct.
                       e=0 ==> method is explicit odr.
       ndigit =    16          (estimated by odrpack)
       taufac =     1.00e+00

 --- stopping criteria:
        sstol =     2.22e-14   (sum of squares stopping tolerance)
       partol =     2.22e-16   (parameter stopping tolerance)
        maxit =    52          (maximum number of iterations)

 --- initial weighted sum of squares        =                    1.47796721e-02
         sum of squared weighted deltas     =   1.33891597e-02
         sum of squared weighted epsilons   =   1.39051238e-03

 --- function parameter summary:

       index         beta(k)    fixed           scale              
                                                                   
         (k)                  (ifixb)          (sclb)              

           1  3.02127269e+00       no  3.33333333e-01              
           2  2.95883347e+00       no  3.33333333e-01              
           3 -5.25432714e-01       no  3.33333333e-01              

 --- explanatory variable and delta weight summary:

       index      x(i,j)  delta(i,j)    fixed     scale    weight              
                                                                               
       (i,j)                          (ifixx)    (scld)      (wd)              

         1,1   0.000e+00  -6.950e-03       no  1.00e+01  1.00e+00              
         n,1   2.900e+00  -2.903e-02       no  3.45e-01  1.00e+00              
 
         1,2   0.000e+00   3.559e-03       no  1.00e+01  1.00e+00              
         n,2   1.800e+00   5.795e-03       no  3.33e-01  1.00e+00              

 --- response variable and epsilon error weight summary:

       index      y(i,l)      weight
       (i,l)                    (we)

         1,1   2.930e+00   1.000e+00    
         n,1   9.810e+00   1.000e+00    

 *** iteration reports for fit by method of odr ***


         cum.                 act. rel.   pred. rel.
  it.  no. fn     weighted   sum-of-sqs   sum-of-sqs              g-n
 num.   evals   sum-of-sqs    reduction    reduction  tau/pnorm  step
 ----  ------  -----------  -----------  -----------  ---------  ----

    3      23  1.47797e-02   7.3362e-07   7.4861e-07  8.411e-04   yes       
    4      24  1.47797e-02   4.5525e-10   4.6927e-10  2.427e-05   yes       
    5      25  1.47797e-02   4.3676e-13   4.5367e-13  7.007e-07   yes       
    6      26  1.47797e-02  -4.4409e-16   4.7183e-16  3.932e-08   yes       

 *** final summary for fit by method of odr ***

 --- stopping conditions:
         info =     1 ==> sum of squares convergence.
        niter =     6          (number of iterations)
         nfev =    26          (number of function evaluations)
         njev =     7          (number of jacobian evaluations)
        irank =     0          (rank deficiency)
        rcond =     2.28e-01   (inverse condition number)
        istop =     0          (returned by user from subroutine fcn)

 --- final weighted sums of squares       =                     1.47796613e-02
         sum of squared weighted deltas   =    1.33923007e-02
         sum of squared weighted epsilons =    1.38736052e-03

 --- estimated beta(j), j = 1, ..., np:

           index           value -------------->

       1 to    3  3.02122470e+00  2.95882000e+00 -5.25382882e-01

     n.b. no parameters were fixed by the user or dropped at the last
          iteration because they caused the model to be rank deficient.

 --- estimated epsilon(i) and delta(i,*), i = 1, ..., n:
\n         i    epsilon(i,1)      delta(i,1)      delta(i,2)\n
         1  2.29869896e-03 -6.94488617e-03  3.56666901e-03
         2 -1.82412531e-02  5.51109249e-02 -1.69175852e-02
         3  2.15545172e-02 -6.51210406e-02  1.16448521e-02
         4  3.10769693e-03 -9.38905084e-03  9.98372578e-04
         5  6.39050562e-03 -1.93071537e-02  9.88268155e-03
         6  2.81290085e-03 -8.49840563e-03  2.58219389e-03
         7 -1.19105689e-02  3.59845053e-02 -6.49632094e-03
         8  5.59803498e-04 -1.69129217e-03  3.04241802e-04
         9 -2.28908841e-03  6.91585051e-03 -3.56509024e-03
        10 -5.27648142e-03  1.59414362e-02 -4.86270076e-03
        11 -1.37112914e-02  4.14248927e-02 -7.48235505e-03
        12  8.41203965e-03 -2.54146623e-02  4.56155789e-03
        13  9.60776206e-03 -2.90272084e-02  5.78348339e-03

 comparison of new results with double precision cray ymp result:

                         norm of beta        sum of squared wtd obs errors  info

 cray ymp result =       
                4.261272307142889e+00                1.477966125465374e-02     1

 new test result      =  
                4.261272305503215e+00                1.477966125465372e-02     1

 difference           =   1.63967e-09                          1.90820e-17

 relative error       =   3.84785e-10                          1.29110e-15


 *** results agree to within stopping tolerance. ***



 example  8

 test use of taufac to restrict first step for odr problem
 with finite difference derivatives using dodrc.
 data set reference:  powell and macdonald, 1972, tables 7 and 8, pages 153-154                      
 ******************************************************* 
 * odrpack version 2.01 of 06-19-92 (double precision) * 
 ******************************************************* 


 *** initial summary for fit by method of odr ***

 --- problem size:
            n =    14          (number with nonzero weight =    14)
           nq =     1
            m =     1
           np =     3          (number unfixed =     3)

 --- control values:
          job =   210
              = abcde, where
                       a=0 ==> fit is not a restart.
                       b=0 ==> deltas are initialized to zero.
                       c=2 ==> covariance matrix will not be computed.
                       d=1 ==> derivatives are estimated by central differences.
                       e=0 ==> method is explicit odr.
       ndigit =    16          (estimated by odrpack)
       taufac =     1.00e-02

 --- stopping criteria:
        sstol =     1.49e-08   (sum of squares stopping tolerance)
       partol =     3.67e-11   (parameter stopping tolerance)
        maxit =    50          (maximum number of iterations)

 --- initial weighted sum of squares        =                    6.65183875e+01
         sum of squared weighted deltas     =   0.00000000e+00
         sum of squared weighted epsilons   =   6.65183875e+01

 --- function parameter summary:

       index         beta(k)    fixed           scale    derivative
                                                          step size
         (k)                  (ifixb)          (sclb)        (stpb)

           1  2.50000000e+01       no  3.33333333e-02   4.64159e-06
           2  3.00000000e+01       no  3.33333333e-02   4.64159e-06
           3  6.00000000e+00       no  3.33333333e-02   4.64159e-06

 --- explanatory variable and delta weight summary:

       index      x(i,j)  delta(i,j)    fixed     scale    weight    derivative
                                                                      step size
       (i,j)                          (ifixx)    (scld)      (wd)        (stpd)

         1,1   1.000e+00   0.000e+00       no  1.00e+00  1.00e+00   4.64159e-06
         n,1   1.400e+01   0.000e+00       no  7.14e-02  1.00e+00   4.64159e-06

 --- response variable and epsilon error weight summary:

       index      y(i,l)      weight
       (i,l)                    (we)

         1,1   2.638e+01   1.000e+00    
         n,1   2.222e+01   1.000e+00    

 *** iteration reports for fit by method of odr ***


         cum.                 act. rel.   pred. rel.
  it.  no. fn     weighted   sum-of-sqs   sum-of-sqs              g-n
 num.   evals   sum-of-sqs    reduction    reduction  tau/pnorm  step
 ----  ------  -----------  -----------  -----------  ---------  ----

    1      21  1.65304e-03   9.9998e-01   9.9998e-01  1.906e-01   yes       
    2      30  1.14442e-03   3.0769e-01   3.0772e-01  5.736e-03   yes       
    3      39  1.14442e-03   2.8528e-06   2.8589e-06  4.489e-05   yes       
    4      48  1.14442e-03   9.2532e-11   9.3847e-11  7.580e-07   yes       

 *** final summary for fit by method of odr ***

 --- stopping conditions:
         info =     1 ==> sum of squares convergence.
        niter =     4          (number of iterations)
         nfev =    48          (number of function evaluations)
        irank =     0          (rank deficiency)
        rcond =     5.38e-03   (inverse condition number)
        istop =     0          (returned by user from subroutine fcn)

 --- final weighted sums of squares       =                     1.14441947e-03
         sum of squared weighted deltas   =    1.25033077e-04
         sum of squared weighted epsilons =    1.01938640e-03

 --- estimated beta(j), j = 1, ..., np:

           index           value -------------->

       1 to    3  2.71167487e+01  3.36427043e+01  6.62121910e+00

     n.b. no parameters were fixed by the user or dropped at the last
          iteration because they caused the model to be rank deficient.

 --- estimated epsilon(i) and delta(i,*), i = 1, ..., n:
\n         i    epsilon(i,1)      delta(i,1)\n
         1  7.59801117e-03  4.97540747e-03
         2  7.39164818e-04  4.06579051e-04
         3 -6.94196648e-03 -3.28158116e-03
         4 -1.71319408e-02 -7.08391784e-03
         5 -7.84792234e-03 -2.87575737e-03
         6  3.89544360e-03  1.27960335e-03
         7  1.08567684e-02  3.22813867e-03
         8  7.23311503e-03  1.96282386e-03
         9  7.22701041e-03  1.80177855e-03
        10  7.62288350e-03  1.75618816e-03
        11  5.74541442e-03  1.22941679e-03
        12 -6.34168093e-04 -1.26609680e-04
        13 -3.71790891e-03 -6.95241812e-04
        14 -1.46591743e-02 -2.57682804e-03

 comparison of new results with double precision cray ymp result:

                         norm of beta        sum of squared wtd obs errors  info

 cray ymp result =       
                4.371487317909745e+01                1.144419474408286e-03     1

 new test result      =  
                4.371487334115803e+01                1.144419474408226e-03     1

 difference           =   1.62061e-07                          6.00648e-17

 relative error       =   3.70722e-09                          5.24850e-14


 *** results agree to within stopping tolerance. ***



 example  9

 test implicit model for ols problem
 using dodrc.
 data set reference:  fuller, 1987, table 3.2.10, pages 244-245                                      
 ******************************************************* 
 * odrpack version 2.01 of 06-19-92 (double precision) * 
 ******************************************************* 


 *** initial summary for fit by method of odr ***

 --- problem size:
            n =    20          (number with nonzero weight =    20)
           nq =     1
            m =     2
           np =     5          (number unfixed =     5)

 --- control values:
          job =     1
              = abcde, where
                       a=0 ==> fit is not a restart.
                       b=0 ==> deltas are initialized to zero.
                       c=0 ==> covariance matrix will be computed using
                               derivatives re-evaluated at the solution.
                       d=0 ==> derivatives are estimated by forward differences.
                       e=1 ==> method is implicit odr.
       ndigit =    15          (estimated by odrpack)
       taufac =     1.00e+00

 --- stopping criteria:
        sstol =     1.49e-08   (sum of squares stopping tolerance)
       partol =     6.06e-06   (parameter stopping tolerance)
        maxit =   100          (maximum number of iterations)

 --- initial sum of squared weighted deltas =                    0.00000000e+00
         initial penalty function value     =   8.39823392e-01
                 penalty term               =   8.39823392e-01
                 penalty parameter          =   1.0e+01

 --- function parameter summary:

       index         beta(k)    fixed           scale    derivative
                                                          step size
         (k)                  (ifixb)          (sclb)        (stpb)

           1 -1.00000000e+00       no  1.00000000e+00   3.16228e-10
           2 -3.00000000e+00       no  3.33333333e-01   3.16228e-10
           3  9.00000000e-02       no  1.11111111e+01   3.16228e-10
           4  2.00000000e-02       no  5.00000000e+01   3.16228e-10
           5  8.00000000e-02       no  1.25000000e+01   3.16228e-10

 --- explanatory variable and delta weight summary:

       index      x(i,j)  delta(i,j)    fixed     scale    weight    derivative
                                                                      step size
       (i,j)                          (ifixx)    (scld)      (wd)        (stpd)

         1,1   5.000e-01   0.000e+00       no  2.00e+00  1.00e+00   3.16228e-10
         n,1  -3.440e+00   0.000e+00       no  2.91e-01  1.00e+00   3.16228e-10
 
         1,2  -1.200e-01   0.000e+00       no  8.33e+00  1.00e+00   3.16228e-10
         n,2  -4.860e+00   0.000e+00       no  2.06e-01  1.00e+00   3.16228e-10

 *** iteration reports for fit by method of odr ***


         cum.      penalty    act. rel.   pred. rel.
  it.  no. fn     function   sum-of-sqs   sum-of-sqs              g-n
 num.   evals        value    reduction    reduction  tau/pnorm  step
 ----  ------  -----------  -----------  -----------  ---------  ----

 penalty parameter value =    1.0e+01
    1      13  6.95806e-02   9.1715e-01   9.2121e-01  3.787e-01   yes       
    2      21  6.86021e-02   1.4063e-02   1.3989e-02  4.792e-02   yes       
    3      29  6.85929e-02   1.3366e-04   1.3153e-04  2.460e-03   yes       
    4      37  6.85929e-02   2.7829e-07   2.5590e-07  3.264e-04   yes       
    5      45  6.85929e-02   2.3043e-09   2.2048e-09  2.609e-05   yes       

 penalty parameter value =    1.0e+02
    6      71  8.58086e-02   5.8378e-01   5.8368e-01  7.423e-02   yes       
    7      79  8.57904e-02   2.1194e-04   2.1051e-04  1.733e-02   yes       
    8      87  8.57902e-02   2.9672e-06   2.9235e-06  6.224e-04   yes       
    9      95  8.57902e-02   7.3547e-09   6.9000e-09  7.348e-05   yes       

 penalty parameter value =    1.0e+03
   10     116  8.79954e-02   1.7982e-01   1.7982e-01  8.924e-03   yes       
   11     124  8.79951e-02   3.5447e-06   3.4892e-06  2.283e-03   yes       
   12     132  8.79951e-02   2.0789e-08   1.9856e-08  8.351e-05   yes       
   13     140  8.79951e-02   1.7288e-10   1.6623e-10  1.135e-05   yes       

 penalty parameter value =    1.0e+04
   14     161  8.82218e-02   2.2544e-02   2.2544e-02  9.103e-04   yes       
   15     169  8.82218e-02   2.7123e-08   2.5931e-08  1.116e-04   yes       
   16     177  8.82218e-02   1.2760e-10   1.2609e-10  7.117e-06   yes       

 penalty parameter value =    1.0e+05
   17     195  8.82446e-02   2.3129e-03   2.3129e-03  8.703e-05   yes       
   18     203  8.82446e-02   2.4386e-10   2.9471e-10  1.055e-05   yes       

 *** final summary for fit by method of odr ***

 --- stopping conditions:
         info =     2 ==> parameter convergence.
        niter =    18          (number of iterations)
         nfev =   217          (number of function evaluations)
        irank =     0          (rank deficiency)
        rcond =     3.18e-02   (inverse condition number)
        istop =     0          (returned by user from subroutine fcn)

 --- final sum of squared weighted deltas =                     8.82420346e-02
         final penalty function value     =    8.82445616e-02
               penalty term               =    2.52701646e-06
               penalty parameter          =    1.0e+05

 --- residual standard deviation          =                     7.66994283e-02
         degrees of freedom               =   15

 --- estimated beta(j), j = 1, ..., np:

                     beta      s.d. beta    ---- 95%  confidence interval ----

       1  -9.99379933e-01     1.1138e-01    -1.23682037e+00 to -7.61939498e-01
       2  -2.93104945e+00     1.0977e-01    -3.16504366e+00 to -2.69705524e+00
       3   8.75730802e-02     4.1061e-03     7.88200448e-02 to  9.63261156e-02
       4   1.62299440e-02     2.7500e-03     1.03676047e-02 to  2.20922834e-02
       5   7.97538265e-02     3.4963e-03     7.23007542e-02 to  8.72068988e-02

 --- estimated delta(i,*), i = 1, ..., n:
\n         i      delta(i,1)      delta(i,2)\n
         1  3.40720634e-02  4.76859911e-02
         2 -2.65181593e-02 -2.55208824e-02
         3 -6.46552695e-02 -4.89654543e-02
         4 -6.02227753e-02 -3.67982150e-02
         5  1.53930575e-01  4.61090284e-02
         6  7.49626233e-02  5.60552095e-03
         7 -1.34843348e-02  1.40897523e-03
         8 -9.20914920e-02  3.20494935e-02
         9 -2.95791068e-02  1.74355140e-02
        10 -2.24335334e-03  1.96493019e-03
        11  1.75675450e-02 -2.30884064e-02
        12 -1.84834918e-02  3.96270867e-02
        13  1.65863777e-03 -1.00326794e-01
        14 -9.59478862e-03 -6.81525381e-02
        15  8.68783587e-03  2.81096620e-02
        16  3.24758842e-02  6.89224994e-02
        17  3.11880470e-02  4.53119824e-02
        18 -7.48536161e-03 -8.53418818e-03
        19  5.74207430e-03  5.51932382e-03
        20 -3.59271145e-02 -2.83633754e-02

 comparison of new results with double precision cray ymp result:

                         norm of beta        sum of squared wtd obs errors  info

 cray ymp result =       
                3.099048849376849e+00                8.824708863783851e-02     2

 new test result      =  
                3.099048927917403e+00                8.824203461934722e-02     2

 difference           =   7.85406e-08                          5.05402e-06

 relative error       =   2.53434e-08                          5.72712e-05


 *** results agree to within stopping tolerance. ***



 example 10

 test multiresponse model for odr problem
 with finite difference derivatives using dodrc.
 data set reference:  bates and watts, 1988, table a1.13, pages 280-281                              
 ******************************************************* 
 * odrpack version 2.01 of 06-19-92 (double precision) * 
 ******************************************************* 


 *** initial summary for fit by method of odr ***

 --- problem size:
            n =    23          (number with nonzero weight =    21)
           nq =     2
            m =     1
           np =     5          (number unfixed =     5)

 --- control values:
          job =   210
              = abcde, where
                       a=0 ==> fit is not a restart.
                       b=0 ==> deltas are initialized to zero.
                       c=2 ==> covariance matrix will not be computed.
                       d=1 ==> derivatives are estimated by central differences.
                       e=0 ==> method is explicit odr.
       ndigit =    15          (estimated by odrpack)
       taufac =     1.00e+00

 --- stopping criteria:
        sstol =     1.49e-08   (sum of squares stopping tolerance)
       partol =     3.67e-11   (parameter stopping tolerance)
        maxit =    50          (maximum number of iterations)

 --- initial weighted sum of squares        =                    1.61756061e+03
         sum of squared weighted deltas     =   0.00000000e+00
         sum of squared weighted epsilons   =   1.61756061e+03

 --- function parameter summary:

       index         beta(k)    fixed           scale    derivative
                                                          step size
         (k)                  (ifixb)          (sclb)        (stpb)

           1  4.00000000e+00       no  2.50000000e-01   1.00000e-05
           2  2.00000000e+00       no  5.00000000e-01   1.00000e-05
           3  7.00000000e+00       no  1.42857143e-01   1.00000e-05
           4  4.00000000e-01       no  2.50000000e+00   1.00000e-05
           5  5.00000000e-01       no  2.00000000e+00   1.00000e-05

 --- explanatory variable and delta weight summary:

       index      x(i,j)  delta(i,j)    fixed     scale    weight    derivative
                                                                      step size
       (i,j)                          (ifixx)    (scld)      (wd)        (stpd)

         1,1   3.000e+01   0.000e+00      yes  3.33e-02  1.11e-07   1.00000e-05
         n,1   1.500e+05   0.000e+00       no  6.67e-06  4.44e-15   1.00000e-05

 --- response variable and epsilon error weight summary:

       index      y(i,l)      weight
       (i,l)                    (we)

         1,1   4.220e+00   5.596e+02    
         n,1   2.759e+00   5.596e+02    
 
         1,2   1.360e-01   8.397e+03    
         n,2   1.390e-01   8.397e+03    

 *** iteration reports for fit by method of odr ***


         cum.                 act. rel.   pred. rel.
  it.  no. fn     weighted   sum-of-sqs   sum-of-sqs              g-n
 num.   evals   sum-of-sqs    reduction    reduction  tau/pnorm  step
 ----  ------  -----------  -----------  -----------  ---------  ----

    1      18  2.81264e+02   8.2612e-01   9.9950e-01  1.204e+00   yes       
    2      31  8.75783e+00   9.6886e-01   9.9813e-01  2.200e-01   yes       
    3      44  2.48574e+00   7.1617e-01   9.5244e-01  1.597e-01   yes       
    4      57  4.24412e-01   8.2926e-01   8.3031e-01  2.241e-02   yes       
    5      70  4.20540e-01   9.1238e-03   9.0876e-03  4.429e-03   yes       
    6      83  4.20539e-01   2.8954e-06   2.7128e-06  3.930e-04   yes       
    7      96  4.20539e-01   1.4230e-08   1.3313e-08  2.690e-05   yes       

 *** final summary for fit by method of odr ***

 --- stopping conditions:
         info =     1 ==> sum of squares convergence.
        niter =     7          (number of iterations)
         nfev =    96          (number of function evaluations)
        irank =     0          (rank deficiency)
        rcond =     8.15e-03   (inverse condition number)
        istop =     0          (returned by user from subroutine fcn)

 --- final weighted sums of squares       =                     4.20538922e-01
         sum of squared weighted deltas   =    5.54022895e-04
         sum of squared weighted epsilons =    4.19984899e-01

 --- estimated beta(j), j = 1, ..., np:

           index           value -------------->

       1 to    4  4.37998809e+00  2.43330566e+00  8.00288453e+00  5.10114676e-01
               5  5.17390199e-01

     n.b. no parameters were fixed by the user or dropped at the last
          iteration because they caused the model to be rank deficient.

 --- estimated epsilon(i) and delta(i,*), i = 1, ..., n:
\n         i    epsilon(i,1)    epsilon(i,2)      delta(i,1)\n
         1 -7.38556281e-03  1.25939922e-03  0.00000000e+00
         2 -1.05612518e-03 -1.22845804e-03  0.00000000e+00
         3 -2.70861844e-03 -2.14347061e-03  0.00000000e+00
         4  4.68593718e-02 -4.25940146e-03  0.00000000e+00
         5  8.08104420e-03 -3.47539550e-03  0.00000000e+00
         6  1.53882474e-03  3.85293691e-04  3.03694703e+01
         7  4.60534881e-03  1.19118721e-03  3.78987347e+01
         8  4.50904278e-03  1.23570429e-03  6.22631839e+01
         9 -1.00624342e-03 -2.91872299e-04  1.11187207e+02
        10  1.05810430e-02  3.27283292e-03  1.15710270e+02
        11  6.93618486e-03  2.43480864e-03  2.41437285e+02
        12  3.95512341e-05  1.75761988e-05  9.61345659e+02
        13 -3.77619650e-03 -2.42909122e-03  1.33029993e+03
        14 -5.56743467e-04 -1.70124794e-03  2.07511789e+03
        15  2.08264690e-03 -2.23723708e-03  2.90289763e+03
        16 -7.50661987e-03  2.16469603e-03  5.21813714e+03
        17 -1.56730631e-03  2.03369394e-04  7.54565125e+03
        18 -5.93228163e-04  2.72079634e-05  1.74201144e+04
        19  1.15244167e-04 -2.42068503e-07  2.42745693e+04
        20  2.63614224e-04  5.18444903e-06  3.78492489e+04
        21 -3.81043947e-04 -1.03970544e-05  5.53493969e+04
        22 -3.36863330e-04 -1.26155472e-05  8.75792611e+04
        23  2.87168504e-03  1.41195403e-04  1.29496518e+05

 comparison of new results with double precision cray ymp result:

                         norm of beta        sum of squared wtd obs errors  info

 cray ymp result =       
                9.469917836739933e+00                4.205389215588105e-01     1

 new test result      =  
                9.469917762491942e+00                4.205389215886787e-01     1

 difference           =   7.42480e-08                          2.98683e-11

 relative error       =   7.84040e-09                          7.10238e-11


 *** results agree to within stopping tolerance. ***



 example 11

 test detection of questionable analytic derivatives for ols problem
 using dodrc.
 data set reference:  powell and macdonald, 1972, tables 7 and 8, pages 153-154                      
 ******************************************************* 
 * odrpack version 2.01 of 06-19-92 (double precision) * 
 ******************************************************* 


 *** initial summary for fit by method of ols ***

 --- problem size:
            n =    14          (number with nonzero weight =    14)
           nq =     1
            m =     1
           np =     3          (number unfixed =     3)

 --- control values:
          job =    22
              = abcde, where
                       a=0 ==> fit is not a restart.
                       b=0 ==> deltas are fixed at zero since e=2.
                       c=0 ==> covariance matrix will be computed using
                               derivatives re-evaluated at the solution.
                       d=2 ==> derivatives are supplied by user.
                               derivatives were checked.
                               results appear questionable.
                       e=2 ==> method is explicit ols.
       ndigit =    16          (estimated by odrpack)
       taufac =     1.00e+00

 --- stopping criteria:
        sstol =     1.49e-08   (sum of squares stopping tolerance)
       partol =     3.67e-11   (parameter stopping tolerance)
        maxit =    50          (maximum number of iterations)

 --- initial weighted sum of squares        =                    6.65183875e+01

 --- function parameter summary:

       index         beta(k)    fixed           scale    derivative
                                                         assessment
         (k)                  (ifixb)          (sclb)              

           1  2.50000000e+01       no  3.33333333e-02  questionable
           2  3.00000000e+01       no  3.33333333e-02  questionable
           3  6.00000000e+00       no  3.33333333e-02  questionable

 --- explanatory variable summary:

       index      x(i,j)
       (i,j)            

         1,1   1.000e+00
         n,1   1.400e+01

 --- response variable and epsilon error weight summary:

       index      y(i,l)      weight
       (i,l)                    (we)

         1,1   2.638e+01   1.000e+00    
         n,1   2.222e+01   1.000e+00    

 *** iteration reports for fit by method of ols ***


         cum.                 act. rel.   pred. rel.
  it.  no. fn     weighted   sum-of-sqs   sum-of-sqs              g-n
 num.   evals   sum-of-sqs    reduction    reduction  tau/pnorm  step
 ----  ------  -----------  -----------  -----------  ---------  ----

    1      24  6.65184e+01   0.0000e+00   0.0000e+00  0.000e+00   yes       

 *** final summary for fit by method of ols ***

 --- stopping conditions:
         info =  1023
              =  abcd, where a nonzero value for digit a, b, or c indicates why
                       the results might be questionable, and digit d indicates
                       the actual stopping condition.
                       a=1 ==> derivatives are questionable.
                       c=2 ==> derivatives are zero rank at the solution.
                       d=3 ==> sum of squares convergence and parameter convergence.
        niter =     1          (number of iterations)
         nfev =    24          (number of function evaluations)
         njev =     2          (number of jacobian evaluations)
        irank =     3          (rank deficiency)
        rcond =     0.00e+00   (inverse condition number)
        istop =     0          (returned by user from subroutine fcn)

 --- final weighted sums of squares       =                     6.65183875e+01

 --- residual standard deviation          =                     8.15588055e+00
         degrees of freedom               =    0

 --- estimated beta(j), j = 1, ..., np:

                     beta      s.d. beta    ---- 95%  confidence interval ----

       1   2.50000000e+01        dropped
       2   3.00000000e+01        dropped
       3   6.00000000e+00        dropped

 --- estimated epsilon(i,  1), i = 1, ..., n:

           index           value -------------->

       1 to    4 -2.12824711e+00 -2.15338202e+00 -2.17361007e+00 -2.19297148e+00
       5 to    8 -2.18753205e+00 -2.17853564e+00 -2.17414444e+00 -2.18046225e+00
       9 to   12 -2.18216734e+00 -2.18292056e+00 -2.18563784e+00 -2.19267768e+00
      13 to   14 -2.19597334e+00 -2.20712839e+00

 comparison of new results with double precision cray ymp result:

                         norm of beta        sum of squared wtd obs errors  info

 cray ymp result =       
                3.950949253027682e+01                6.651838750834911e+01  1023

 new test result      =  
                3.950949253027682e+01                6.651838750834908e+01  1023

 difference           =   0.00000e+00                          2.84217e-14

 relative error       =   0.00000e+00                          4.27276e-16


 *** results agree to within stopping tolerance. ***



 example 12

 test detection of incorrect analytic derivatives for odr problem
 with analytic derivatives using dodrc.
 data set reference:  powell and macdonald, 1972, tables 7 and 8, pages 153-154                      

 comparison of new results with double precision cray ymp result:

                         norm of beta        sum of squared wtd obs errors  info

 cray ymp result =       
                3.950949253027682e+01                6.651838750834911e+01 40100

 new test result      =  
                3.950949253027682e+01                6.651838750834908e+01 40100

 difference           =   0.00000e+00                          2.84217e-14

 relative error       =   0.00000e+00                          4.27276e-16

 *** stopping conditions show convergence not attained. ***
        no further comparisons made between results.






 *** summary: all tests agree with expected results. ***
rc= 0
** quadpack/qng.f
 result=   1.270724e+00
rc= 0
** regression/mlsvd.f
a: 6x4 matrix
 7.000000e-01 -1.000000e-01 -7.000000e-01  1.000000e-01 
 0.000000e+00  0.000000e+00  9.000000e-01 -7.000000e-01 
 5.000000e-01  6.000000e-01 -5.000000e-01  0.000000e+00 
-4.000000e-01  8.000000e-01  5.000000e-01  5.000000e-01 
 1.000000e-01  4.000000e-01 -5.000000e-01 -3.000000e-01 
-2.000000e-01 -6.000000e-01  2.000000e-01  3.000000e-01 
singular values: 4x1 matrix
 1.651219e+00 
 1.232826e+00 
 1.022761e+00 
 4.556032e-01 
left singular vectors: 6x4 matrix
-5.674209e-01  1.932234e-01 -2.391609e-02  5.587620e-01 
 4.922226e-01  1.325698e-02 -7.676218e-01  3.312008e-01 
-4.599069e-01 -3.843584e-01 -1.908938e-01  3.154208e-01 
 2.922030e-01 -7.756010e-01  3.657792e-01  2.499210e-01 
-3.120935e-01 -2.283712e-01 -2.822268e-01 -6.279275e-01 
 2.035956e-01  4.013068e-01  4.003723e-01  1.478084e-01 
right singular vectors: 4x4 matrix
-4.941547e-01 -1.407653e-01  8.557409e-01 -6.085787e-02 
 1.218494e-01 -9.754423e-01 -1.009870e-01 -1.531884e-01 
-3.586340e-01 -1.687934e-01 -1.707085e-01  9.020804e-01 
 7.825251e-01 -1.436105e-02  4.778783e-01  3.988490e-01 
rc= 0
** regression/ols1.f
A+: 100x50 matrix
 7.318494e-09 1.463699e-08 2.195548e-08 ...  3.512877e-07 3.586062e-07 3.659247e-07
 2.194826e-08 4.389652e-08 6.584478e-08 ...  1.053516e-06 1.075465e-06 1.097413e-06
 3.655637e-08 7.311273e-08 1.096691e-07 ...  1.754705e-06 1.791262e-06 1.827818e-06
 5.112839e-08 1.022568e-07 1.533852e-07 ...  2.454163e-06 2.505291e-06 2.556420e-06
 6.564996e-08 1.312999e-07 1.969499e-07 ...  3.151198e-06 3.216848e-06 3.282498e-06
 8.010674e-08 1.602135e-07 2.403202e-07 ...  3.845124e-06 3.925230e-06 4.005337e-06
 9.448447e-08 1.889689e-07 2.834534e-07 ...  4.535254e-06 4.629739e-06 4.724223e-06
 1.087690e-07 2.175379e-07 3.263069e-07 ...  5.220910e-06 5.329679e-06 5.438448e-06
 1.229461e-07 2.458922e-07 3.688383e-07 ...  5.901412e-06 6.024358e-06 6.147305e-06
 1.370019e-07 2.740038e-07 4.110057e-07 ...  6.576091e-06 6.713093e-06 6.850095e-06
 ... 
 1.509225e-07 3.018450e-07 4.527675e-07 ...  7.244280e-06 7.395202e-06 7.546125e-06
 1.370019e-07 2.740038e-07 4.110057e-07 ...  6.576091e-06 6.713093e-06 6.850095e-06
 1.229461e-07 2.458922e-07 3.688383e-07 ...  5.901412e-06 6.024358e-06 6.147305e-06
 1.087690e-07 2.175379e-07 3.263069e-07 ...  5.220910e-06 5.329679e-06 5.438448e-06
 9.448447e-08 1.889689e-07 2.834534e-07 ...  4.535254e-06 4.629739e-06 4.724223e-06
 8.010674e-08 1.602135e-07 2.403202e-07 ...  3.845124e-06 3.925230e-06 4.005337e-06
 6.564996e-08 1.312999e-07 1.969499e-07 ...  3.151198e-06 3.216848e-06 3.282498e-06
 5.112839e-08 1.022568e-07 1.533852e-07 ...  2.454163e-06 2.505291e-06 2.556420e-06
 3.655637e-08 7.311273e-08 1.096691e-07 ...  1.754705e-06 1.791262e-06 1.827818e-06
 2.194826e-08 4.389652e-08 6.584478e-08 ...  1.053516e-06 1.075465e-06 1.097413e-06
 7.318494e-09 1.463699e-08 2.195548e-08 ...  3.512877e-07 3.586062e-07 3.659247e-07
A: 50x100 matrix
 1.570732e-02 4.710645e-02 7.845910e-02 ...  7.845910e-02 4.710645e-02 1.570732e-02
 3.141464e-02 9.421290e-02 1.569182e-01 ...  1.569182e-01 9.421290e-02 3.141464e-02
 4.712195e-02 1.413193e-01 2.353773e-01 ...  2.353773e-01 1.413193e-01 4.712195e-02
 6.282927e-02 1.884258e-01 3.138364e-01 ...  3.138364e-01 1.884258e-01 6.282927e-02
 7.853658e-02 2.355323e-01 3.922955e-01 ...  3.922955e-01 2.355323e-01 7.853658e-02
 9.424391e-02 2.826387e-01 4.707546e-01 ...  4.707546e-01 2.826387e-01 9.424391e-02
 1.099512e-01 3.297451e-01 5.492136e-01 ...  5.492136e-01 3.297451e-01 1.099512e-01
 1.256585e-01 3.768516e-01 6.276728e-01 ...  6.276728e-01 3.768516e-01 1.256585e-01
 1.413659e-01 4.239581e-01 7.061319e-01 ...  7.061319e-01 4.239581e-01 1.413659e-01
 1.570732e-01 4.710645e-01 7.845910e-01 ...  7.845910e-01 4.710645e-01 1.570732e-01
 ... 
 6.282927e-01 1.884258e+00 3.138364e+00 ...  3.138364e+00 1.884258e+00 6.282927e-01
 6.440000e-01 1.931365e+00 3.216823e+00 ...  3.216823e+00 1.931365e+00 6.440000e-01
 6.597073e-01 1.978471e+00 3.295282e+00 ...  3.295282e+00 1.978471e+00 6.597073e-01
 6.754146e-01 2.025577e+00 3.373741e+00 ...  3.373741e+00 2.025577e+00 6.754146e-01
 6.911219e-01 2.072684e+00 3.452200e+00 ...  3.452200e+00 2.072684e+00 6.911219e-01
 7.068292e-01 2.119790e+00 3.530659e+00 ...  3.530659e+00 2.119790e+00 7.068292e-01
 7.225366e-01 2.166897e+00 3.609118e+00 ...  3.609118e+00 2.166897e+00 7.225366e-01
 7.382439e-01 2.214003e+00 3.687577e+00 ...  3.687577e+00 2.214003e+00 7.382439e-01
 7.539513e-01 2.261110e+00 3.766037e+00 ...  3.766037e+00 2.261110e+00 7.539513e-01
 7.696586e-01 2.308216e+00 3.844496e+00 ...  3.844496e+00 2.308216e+00 7.696586e-01
 7.853659e-01 2.355323e+00 3.922955e+00 ...  3.922955e+00 2.355323e+00 7.853659e-01
AA+A: 50x100 matrix
 1.570732e-02 4.710645e-02 7.845910e-02 ...  7.845910e-02 4.710645e-02 1.570732e-02
 3.141464e-02 9.421290e-02 1.569182e-01 ...  1.569182e-01 9.421290e-02 3.141464e-02
 4.712195e-02 1.413193e-01 2.353773e-01 ...  2.353773e-01 1.413193e-01 4.712195e-02
 6.282927e-02 1.884258e-01 3.138364e-01 ...  3.138364e-01 1.884258e-01 6.282927e-02
 7.853658e-02 2.355323e-01 3.922955e-01 ...  3.922955e-01 2.355323e-01 7.853658e-02
 9.424391e-02 2.826387e-01 4.707546e-01 ...  4.707546e-01 2.826387e-01 9.424391e-02
 1.099512e-01 3.297451e-01 5.492136e-01 ...  5.492136e-01 3.297451e-01 1.099512e-01
 1.256585e-01 3.768516e-01 6.276728e-01 ...  6.276728e-01 3.768516e-01 1.256585e-01
 1.413659e-01 4.239581e-01 7.061319e-01 ...  7.061319e-01 4.239581e-01 1.413659e-01
 1.570732e-01 4.710645e-01 7.845910e-01 ...  7.845910e-01 4.710645e-01 1.570732e-01
 ... 
 6.282927e-01 1.884258e+00 3.138364e+00 ...  3.138364e+00 1.884258e+00 6.282927e-01
 6.440000e-01 1.931365e+00 3.216823e+00 ...  3.216823e+00 1.931365e+00 6.440000e-01
 6.597073e-01 1.978471e+00 3.295282e+00 ...  3.295282e+00 1.978471e+00 6.597073e-01
 6.754146e-01 2.025577e+00 3.373741e+00 ...  3.373741e+00 2.025577e+00 6.754146e-01
 6.911219e-01 2.072684e+00 3.452200e+00 ...  3.452200e+00 2.072684e+00 6.911219e-01
 7.068292e-01 2.119790e+00 3.530659e+00 ...  3.530659e+00 2.119790e+00 7.068292e-01
 7.225366e-01 2.166897e+00 3.609118e+00 ...  3.609118e+00 2.166897e+00 7.225366e-01
 7.382439e-01 2.214003e+00 3.687577e+00 ...  3.687577e+00 2.214003e+00 7.382439e-01
 7.539513e-01 2.261110e+00 3.766037e+00 ...  3.766037e+00 2.261110e+00 7.539513e-01
 7.696586e-01 2.308216e+00 3.844496e+00 ...  3.844496e+00 2.308216e+00 7.696586e-01
 7.853659e-01 2.355323e+00 3.922955e+00 ...  3.922955e+00 2.355323e+00 7.853659e-01
x: 100x1 matrix
 3.141463e-04 
 9.421290e-04 
 1.569182e-03 
 2.194686e-03 
 2.818025e-03 
 3.438582e-03 
 4.055746e-03 
 4.668907e-03 
 5.277461e-03 
 5.880807e-03 
 ... 
 6.478348e-03 
 5.880807e-03 
 5.277461e-03 
 4.668907e-03 
 4.055746e-03 
 3.438582e-03 
 2.818025e-03 
 2.194686e-03 
 1.569182e-03 
 9.421290e-04 
 3.141463e-04 
z: 50x1 matrix
 1.000000e+00 
 2.000000e+00 
 3.000000e+00 
 4.000000e+00 
 5.000000e+00 
 6.000000e+00 
 7.000000e+00 
 8.000000e+00 
 9.000000e+00 
 1.000000e+01 
 ... 
 4.000000e+01 
 4.100000e+01 
 4.200000e+01 
 4.300000e+01 
 4.400000e+01 
 4.500000e+01 
 4.600000e+01 
 4.700000e+01 
 4.800000e+01 
 4.900000e+01 
 5.000000e+01 
rc= 0
** regression/pinv1.f
A: 2x3 matrix
 2.000000e+00 -1.000000e+00  0.000000e+00 
 4.000000e+00  3.000000e+00 -2.000000e+00 
s: 2x1 matrix
 5.477226e+00 
 2.000000e+00 
U: 2x2 matrix
 1.961161e-01  9.805807e-01 
 9.805807e-01 -1.961161e-01 
S: 2x3 matrix
 5.477226e+00  0.000000e+00  0.000000e+00 
 0.000000e+00  2.000000e+00  0.000000e+00 
V^T: 3x3 matrix
 7.877263e-01  5.012804e-01 -3.580574e-01 
 5.883484e-01 -7.844645e-01  1.961161e-01 
 1.825742e-01  3.651484e-01  9.128709e-01 
S+: 3x2 matrix
 1.825742e-01  0.000000e+00 
 0.000000e+00  5.000000e-01 
 0.000000e+00  0.000000e+00 
VS+: 3x2 matrix
 1.438185e-01  2.941742e-01 
 9.152086e-02 -3.922323e-01 
-6.537204e-02  9.805807e-02 
U: 2x2 matrix
 1.961161e-01  9.805807e-01 
 9.805807e-01 -1.961161e-01 
A+: 3x2 matrix
 3.166667e-01  8.333334e-02 
-3.666667e-01  1.666667e-01 
 8.333334e-02 -8.333334e-02 
rc= 0
** regression/pinv2.f
A: 2x3 matrix
 2.000000e+00 -1.000000e+00  0.000000e+00 
 4.000000e+00  3.000000e+00 -2.000000e+00 
A+: 3x2 matrix
 3.166667e-01  8.333334e-02 
-3.666667e-01  1.666667e-01 
 8.333334e-02 -8.333334e-02 
AA+: 2x2 matrix
 1.000000e+00 -1.665335e-16 
-6.661338e-16  1.000000e+00 
rc= 0
** regression/pinv3.f
A: 2x3 matrix
 2.000000e+00 -1.000000e+00  0.000000e+00 
 4.000000e+00  3.000000e+00 -2.000000e+00 
A+: 3x2 matrix
 3.166667e-01  8.333334e-02 
-3.666667e-01  1.666667e-01 
 8.333334e-02 -8.333334e-02 
AA+: 2x2 matrix
 1.000000e+00 -1.665335e-16 
-6.661338e-16  1.000000e+00 
rc= 0
** regression/pinv4.f
A: 2x2 matrix
 4.000000e+00  0.000000e+00 
 3.000000e+00 -5.000000e+00 
A+: 2x2 matrix
 2.500000e-01 -1.387779e-17 
 1.500000e-01 -2.000000e-01 
AA+: 2x2 matrix
 1.000000e+00 -5.551115e-17 
 0.000000e+00  1.000000e+00 
rc= 0
** regression/pinv5.f
A: 3x2 matrix
 2.000000e+00  4.000000e+00 
-1.000000e+00  3.000000e+00 
 0.000000e+00 -2.000000e+00 
A+: 2x3 matrix
 3.166667e-01 -3.666667e-01  8.333334e-02 
 8.333334e-02  1.666667e-01 -8.333334e-02 
A+A: 2x2 matrix
 1.000000e+00 -6.106227e-16 
-5.551115e-17  1.000000e+00 
rc= 0
** toeplitz/toeplitz_test.f
 
toeplitz_test():
  Fortran77 version
  Test toeplitz().
 
TEST01
  CSLZ solves a complex circulant system.
 
  Matrix order N =        4
 
  The circulant matrix:
 
 
Columns         1                   2                   3                   4          
  Row
  ---
    1  4.499e-01-1.267e-01-8.432e-01-3.443e-01 5.896e-01 2.601e-01 3.911e-01 3.234e-01
    2  3.911e-01 3.234e-01 4.499e-01-1.267e-01-8.432e-01-3.443e-01 5.896e-01 2.601e-01
    3  5.896e-01 2.601e-01 3.911e-01 3.234e-01 4.499e-01-1.267e-01-8.432e-01-3.443e-01
    4 -8.432e-01-3.443e-01 5.896e-01 2.601e-01 3.911e-01 3.234e-01 4.499e-01-1.267e-01
 
  Solution:
 
         1:   1.000000e+00 -1.000000e+00
         2:   2.000000e+00 -2.000000e+00
         3:   3.000000e+00 -3.000000e+00
         4:   4.000000e+00 -4.000000e+00
 
TEST02
  TSLZ solves a complex Toeplitz system.
 
  Matrix order N =        4
 
  The Toeplitz matrix:
 
 
Columns         1                   2                   3                   4          
  Row
  ---
    1  4.499e-01-1.267e-01-8.432e-01-3.443e-01 5.896e-01 2.601e-01 3.911e-01 3.234e-01
    2 -1.395e-01-1.561e-01 4.499e-01-1.267e-01-8.432e-01-3.443e-01 5.896e-01 2.601e-01
    3 -2.361e-01 7.746e-02-1.395e-01-1.561e-01 4.499e-01-1.267e-01-8.432e-01-3.443e-01
    4  1.860e-02-6.332e-01-2.361e-01 7.746e-02-1.395e-01-1.561e-01 4.499e-01-1.267e-01
 
  Desired solution:
 
         1:   1.000000e+00 -1.000000e+00
         2:   2.000000e+00 -2.000000e+00
         3:   3.000000e+00 -3.000000e+00
         4:   4.000000e+00 -4.000000e+00
 
  Right Hand Side:
 
         1:   3.355550e+00 -8.382627e-01
         2:   1.872230e-01 -9.911213e-01
         3:  -4.530139e+00  5.462714e-01
         4:  -5.258637e-01 -2.380880e+00
 
 Solution:
 
         1:   6.551908e+00  1.329069e+00
         2:   4.658954e+00 -3.880112e+00
         3:  -6.800986e+00  2.873449e-01
         4:  -7.294758e-01  6.369242e-04
 
TEST03
  TSLD solves a real Toeplitz system.
 
  Matrix order N =        4
 
  The Toeplitz matrix:
 
 
Columns      1             2             3             4       
  Row
  ---
    1   2.184183e-01  9.563176e-01  8.295092e-01  5.616954e-01
    2   4.153071e-01  2.184183e-01  9.563176e-01  8.295092e-01
    3   6.611873e-02  4.153071e-01  2.184183e-01  9.563176e-01
    4   2.575778e-01  6.611873e-02  4.153071e-01  2.184183e-01
 
 
  Solution:
 
         1:   1.00000000e+00
         2:   2.00000000e+00
         3:   3.00000000e+00
         4:   4.00000000e+00
 
TEST04
  For a real block Toeplitz matrix,
  R8BTO_MXV computes A * x.
  R8BTO_VXM computes x * A.
 
  The block Toeplitz matrix:
 
 
Columns:      1             2             3             4             5       
  Row
  ---
    1   1.000000e+00  2.000000e+00  3.000000e+00  4.000000e+00  5.000000e+00
    2   5.000000e+00  5.000000e+00  6.000000e+00  6.000000e+00  7.000000e+00
    3   7.000000e+00  8.000000e+00  1.000000e+00  2.000000e+00  3.000000e+00
    4   8.000000e+00  8.000000e+00  5.000000e+00  5.000000e+00  6.000000e+00
    5   9.000000e+00  0.000000e+00  7.000000e+00  8.000000e+00  1.000000e+00
    6   9.000000e+00  9.000000e+00  8.000000e+00  8.000000e+00  5.000000e+00
 
Columns:      6       
  Row
  ---
    1   6.000000e+00
    2   7.000000e+00
    3   4.000000e+00
    4   6.000000e+00
    5   2.000000e+00
    6   5.000000e+00
 
 
  The vector x:
 
         1:   1.00000000e+00
         2:   2.00000000e+00
         3:   3.00000000e+00
         4:   4.00000000e+00
         5:   5.00000000e+00
         6:   6.00000000e+00
 
  The product A*x:
 
         1:   9.10000000e+01
         2:   1.34000000e+02
         3:   7.30000000e+01
         4:   1.25000000e+02
         5:   7.90000000e+01
         6:   1.38000000e+02
 
  The product x*A:
 
         1:   1.63000000e+02
         2:   1.22000000e+02
         3:   1.21000000e+02
         4:   1.30000000e+02
         5:   8.70000000e+01
         6:   9.60000000e+01
 
TEST05
  R8BTO_SL solves a block Toeplitz system.
 
  Matrix order N =        6
 
  The block Toeplitz matrix:
 
 
Columns:      1             2             3             4             5       
  Row
  ---
    1   9.000000e+00  1.000000e+00  3.000000e+00  4.000000e+00  5.000000e+00
    2   2.000000e+00  8.000000e+00  6.000000e+00  6.000000e+00  7.000000e+00
    3   7.000000e+00  8.000000e+00  9.000000e+00  1.000000e+00  3.000000e+00
    4   8.000000e+00  8.000000e+00  2.000000e+00  8.000000e+00  6.000000e+00
    5   9.000000e+00  0.000000e+00  7.000000e+00  8.000000e+00  9.000000e+00
    6   9.000000e+00  9.000000e+00  8.000000e+00  8.000000e+00  2.000000e+00
 
Columns:      6       
  Row
  ---
    1   6.000000e+00
    2   7.000000e+00
    3   4.000000e+00
    4   6.000000e+00
    5   1.000000e+00
    6   8.000000e+00
 
 
  Right hand side:
 
         1:   9.70000000e+01
         2:   1.37000000e+02
         3:   9.30000000e+01
         4:   1.28000000e+02
         5:   1.13000000e+02
         6:   1.41000000e+02
 
  Computed solution:
 
         1:   1.00000000e+00
         2:   2.00000000e+00
         3:   3.00000000e+00
         4:   4.00000000e+00
         5:   5.00000000e+00
         6:   6.00000000e+00
 
toeplitz_test():
  Normal end of execution.
 
rc= 0
** 103 out of 103 tests OK
