Tue Oct 19 11:32:47 2021

DISK01_INTEGRALS_TEST
  Python version: 3.6.9
  Test DISK01_INTEGRALS()

I4VEC_PRINT_TEST
  Python version: 3.6.9
  I4VEC_PRINT prints an I4VEC.

  Here is an I4VEC:

     0      91
     1      92
     2      93
     3      94

I4VEC_PRINT_TEST:
  Normal end of execution.

I4VEC_TRANSPOSE_PRINT_TEST
  Python version: 3.6.9
  I4VEC_TRANSPOSE_PRINT prints an I4VEC
  with 5 entries to a row, and an optional title.

  My array:   1 2 3 4 5 6 7 8 9 10 11 12

I4VEC_TRANSPOSE_PRINT_TEST:
  Normal end of execution.

R8MAT_TRANSPOSE_PRINT_TEST
  Python version: 3.6.9
  R8MAT_TRANSPOSE_PRINT prints an R8MAT.

  Here is an R8MAT, transposed:

  Row:       0             1             2             3       
  Col
      0 :          11            21            31            41  
      1 :          12            22            32            42  
      2 :          13            23            33            43  

R8MAT_TRANSPOSE_PRINT_TEST:
  Normal end of execution.

R8MAT_TRANSPOSE_PRINT_SOME_TEST
  Python version: 3.6.9
  R8MAT_TRANSPOSE_PRINT_SOME prints some of an R8MAT, transposed.

  R8MAT, rows 0:2, cols 3:5:

  Row:       0             1             2       
  Col
      3 :          14            24            34  
      4 :          15            25            35  
      5 :          16            26            36  

R8MAT_TRANSPOSE_PRINT_SOME_TEST:
  Normal end of execution.

R8VEC_PRINT_TEST
  Python version: 3.6.9
  R8VEC_PRINT prints an R8VEC.

  Here is an R8VEC:

     0:       123.456
     1:         5e-06
     2:        -1e+06
     3:       3.14159

R8VEC_PRINT_TEST:
  Normal end of execution.

DISK01_AREA_TEST
  Python version: 3.6.9
  DISK01_AREA returns the area of the unit disk.

  DISK01_AREA() = 3.14159

DISK01_AREA_TEST
  Normal end of execution.

DISK01_MONOMIAL_INTEGRAL_TEST
  Python version: 3.6.9
  DISK01_MONOMIAL_INTEGRAL computes monomial integrals
  over the interior of the unit disk in 2D.
  Compare with a Monte Carlo value.

  Number of sample points used is 4192

  If any exponent is odd, the integral is zero.
  We will restrict this test to randomly chosen even exponents.

  Ex  Ey     MC-Estimate           Exact      Error

   0   2        0.807911        0.785398       0.023
   6   2       0.0245545       0.0245437     1.1e-05
   2   0        0.776058        0.785398      0.0093
   0   8        0.181477        0.171806      0.0097
   6   8      0.00104914     0.000958738       9e-05
   6   8      0.00104914     0.000958738       9e-05
   0   0         3.14159         3.14159     4.4e-16
   6   0        0.242238        0.245437      0.0032
   8   0        0.170358        0.171806      0.0014
   8   2        0.014099       0.0143172     0.00022
   8   2        0.014099       0.0143172     0.00022
   2   4       0.0516479       0.0490874      0.0026
   2   2        0.134345          0.1309      0.0034
   4   2        0.049882       0.0490874     0.00079
   4   4       0.0155028       0.0147262     0.00078
   6   4      0.00639255      0.00613592     0.00026
   2   6       0.0261445       0.0245437      0.0016
   8   8     0.000408579     0.000372843     3.6e-05
   2   2        0.134345          0.1309      0.0034
   6   8      0.00104914     0.000958738       9e-05

DISK01_MONOMIAL_INTEGRAL_TEST:
  Normal end of execution.

DISK01_SAMPLE_TEST
  Python version: 3.6.9
  DISK01_SAMPLE samples the unit disk.

  Sample points in the unit disk.

  Row:       0             1       
  Col
      0 :   -0.953249     0.0591244  
      1 :    0.637817      0.670754  
      2 :    0.246325     -0.748527  
      3 :    0.546026      0.283293  
      4 :   -0.614288     -0.111427  
      5 :   0.0429135      0.336711  
      6 :    0.873082    -0.0607044  
      7 :      0.6693     -0.176325  
      8 :    -0.31709      0.701148  
      9 :   -0.581049      0.709769  

DISK01_SAMPLE_TEST
  Normal end of execution.

DISK01_INTEGRALS_TEST:
  Normal end of execution.
Tue Oct 19 11:32:47 2021