Thu Sep 13 10:33:17 2018

LINE_INTEGRALS_TEST
  Python version: 3.6.5
  Test the LINE_INTEGRALS library.

I4_UNIFORM_AB_TEST
  Python version: 3.6.5
  I4_UNIFORM_AB computes pseudorandom values
  in an interval [A,B].

  The lower endpoint A = -100
  The upper endpoint B = 200
  The initial seed is 123456789

         1       -35
         2       187
         3       149
         4        69
         5        25
         6       -81
         7       -23
         8       -67
         9       -87
        10        90
        11       -82
        12        35
        13        20
        14       127
        15       139
        16      -100
        17       170
        18         5
        19       -72
        20       -96

I4_UNIFORM_AB_TEST:
  Normal end of execution.

R8VEC_PRINT_TEST
  Python version: 3.6.5
  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.

R8VEC_UNIFORM_01_TEST
  Python version: 3.6.5
  R8VEC_UNIFORM_01 computes a random R8VEC.

  Initial seed is 123456789

  Random R8VEC:

     0:      0.218418
     1:      0.956318
     2:      0.829509
     3:      0.561695
     4:      0.415307
     5:     0.0661187
     6:      0.257578
     7:      0.109957
     8:      0.043829
     9:      0.633966

R8VEC_UNIFORM_01_TEST:
  Normal end of execution.

R8VEC_UNIFORM_AB_TEST
  Python version: 3.6.5
  R8VEC_UNIFORM_AB computes a random R8VEC.

  -1 <= X <= 5
  Initial seed is 123456789

  Random R8VEC:

     0:       0.31051
     1:       4.73791
     2:       3.97706
     3:       2.37017
     4:       1.49184
     5:     -0.603288
     6:      0.545467
     7:     -0.340259
     8:     -0.737026
     9:       2.80379

R8VEC_UNIFORM_AB_TEST:
  Normal end of execution.

LINE01_LENGTH_TEST
  Python version: 3.6.5
  LINE01_LENGTH returns the length of the unit line.

  LINE01_LENGTH() = 1

LINE01_LENGTH_TEST
  Normal end of execution.

LINE01_MONOMIAL_INTEGRAL_TEST
  Python version: 3.6.5
  LINE01_MONOMIAL_INTEGRAL computes integrals of monomials
  along the length of the unit line in 1D.
  Compare with a Monte Carlo estimate.

  Number of sample points used is 4192

   E     MC-Estimate      Exact           Error

   0               1               1           0
   1        0.498925             0.5      0.0011
   2        0.332937        0.333333      0.0004
   3        0.250201            0.25      0.0002
   4        0.200574             0.2     0.00057
   5        0.167439        0.166667     0.00077
   6        0.143718        0.142857     0.00086
   7        0.125885           0.125     0.00088
   8        0.111981        0.111111     0.00087
   9        0.100832             0.1     0.00083
  10       0.0916921       0.0909091     0.00078

LINE01_MONOMIAL_INTEGRAL_TEST:
  Normal end of execution.

LINE01_SAMPLE_TEST
  Python version: 3.6.5
  LINE01_SAMPLE samples the unit line.

  Sample points in the unit line.

     0:      0.218418
     1:      0.956318
     2:      0.829509
     3:      0.561695
     4:      0.415307
     5:     0.0661187
     6:      0.257578
     7:      0.109957
     8:      0.043829
     9:      0.633966

LINE01_SAMPLE_TEST
  Normal end of execution.

MONOMIAL_VALUE_1D_TEST
  Python version: 3.6.5
  MONOMIAL_VALUE_1D evaluates a monomial of a 1D argument.

      X^(-1)       X^(0)       X^(1)       X^(2)       X^(5)

     1.61026           1     0.62102    0.385665    0.092369
    0.105532           1     9.47581      89.791       76398
    0.125721           1     7.95411     63.2679     31838.9
    0.210955           1     4.74035     22.4709     2393.59
    0.335156           1     2.98368     8.90238     236.464

MONOMIAL_VALUE_1D_TEST
  Normal end of execution.

LINE_INTEGRALS_TEST:
  Normal end of execution.
Thu Sep 13 10:33:18 2018