Tue May 20 22:02:17 2025

line_integrals_test():
  python version: 3.10.12
  numpy version:  1.26.4
  Test line_integrals().

line01_length_test
  line01_length returns the length of the unit line.

  line01_length() =  1.0

line01_monomial_integral_test
  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        0.506622             0.5      0.0066
   2        0.339053        0.333333      0.0057
   3        0.254625            0.25      0.0046
   4        0.203802             0.2      0.0038
   5        0.169865        0.166667      0.0032
   6        0.145605        0.142857      0.0027
   7        0.127402           0.125      0.0024
   8        0.113241        0.111111      0.0021
   9        0.101909             0.1      0.0019
  10       0.0926354       0.0909091      0.0017

line01_sample_test():
  line01_sample() samples the unit line.

  Sample points in the unit line.

     0:      0.106674
     1:      0.494278
     2:      0.675677
     3:     0.0688153
     4:      0.638144
     5:      0.887916
     6:      0.668927
     7:      0.835335
     8:      0.664327
     9:     0.0389403

monomial_value_1d_test():
  monomial_value_1d() evaluates a monomial of a 1D argument.

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

    0.198414           1     5.03996     25.4012     3251.88
    0.271148           1     3.68802     13.6015     682.282
    0.316112           1     3.16343     10.0073     316.806
    -1.26518           1   -0.790403    0.624737   -0.308491
    0.147211           1     6.79297     46.1444     14464.3

line_integrals_test():
  Normal end of execution.
Tue May 20 22:02:17 2025