08-Oct-2025 14:09:30
quad_monte_carlo_test():
  MATLAB/Octave version 6.4.0
  quad_monte_carlo() is an interactive program which uses
  n random samples to estimate the integral of a
  function f(x) over the interval [a,b].

  Estimate integral ( 0.000000 < x < 1.000000 ) x.^2 dx
  quad_monte_carlo: n = 100, integral estimate q =       0.3695053153644817

  Estimate integral ( 0.0 < x < 2.0 ) sqrt(x) dx
  quad_monte_carlo: n = 1000, integral estimate q =         1.90386320708799

  Estimate integral ( 0.0 < x < 2.0 ) humps(x) dx
  quad_monte_carlo: n = 1, integral estimate q =        174.8442535168483
  quad_monte_carlo: n = 2, integral estimate q =        20.96196187607628
  quad_monte_carlo: n = 4, integral estimate q =        28.84942511082552
  quad_monte_carlo: n = 8, integral estimate q =        39.53496469315967
  quad_monte_carlo: n = 16, integral estimate q =        14.98427746712524
  quad_monte_carlo: n = 32, integral estimate q =        32.54958706491134
  quad_monte_carlo: n = 64, integral estimate q =          35.323734782182
  quad_monte_carlo: n = 128, integral estimate q =        29.66270156311627
  quad_monte_carlo: n = 256, integral estimate q =        27.78833025553751
  quad_monte_carlo: n = 512, integral estimate q =        31.52328612057366
  quad_monte_carlo: n = 1024, integral estimate q =         30.1879025673871
  quad_monte_carlo: n = 2048, integral estimate q =        29.33554802242848
  quad_monte_carlo: n = 4096, integral estimate q =        29.42329319198944
  quad_monte_carlo: n = 8192, integral estimate q =        29.40478438342747
  quad_monte_carlo: n = 16384, integral estimate q =        29.04137380387063
  quad_monte_carlo: n = 32768, integral estimate q =        29.69985830103232
  quad_monte_carlo: n = 65536, integral estimate q =         29.2271232288426
  quad_monte_carlo: n = 131072, integral estimate q =        29.39894482184431
  quad_monte_carlo: n = 262144, integral estimate q =        29.24573123158135
  quad_monte_carlo: n = 524288, integral estimate q =        29.44788953496237
  quad_monte_carlo: n = 1048576, integral estimate q =        29.26620045015228

quad_monte_carlo_test():
  Normal end of execution.
08-Oct-2025 14:09:31