Tue Jul  8 17:33:51 2025

fresnel_test():
  matplotlib version: 3.5.1
  numpy version:  1.26.4
  python version: 3.10.12
  Test fresnel().

fresnel_cos_values_test():
  fresnel_cos_values() stores values of
  the Fresnel cosine integral C(X).
  fresnel_cos(x) computes the value directly.

        X               C(X)                      C(X)
                        Tabulated                 Computed

      0.000000        0.0000000000000000        0.0000000000000000
      0.200000        0.1999210575944531        0.1999210575944531
      0.400000        0.3974807591723594        0.3974807591723595
      0.600000        0.5810954469916523        0.5810954469916524
      0.800000        0.7228441718963561        0.7228441718963562
      1.000000        0.7798934003768228        0.7798934003768226
      1.200000        0.7154377229230734        0.7154377229230737
      1.400000        0.5430957835462564        0.5430957835462565
      1.600000        0.3654616834404877        0.3654616834404879
      1.800000        0.3336329272215571        0.3336329272215581
      2.000000        0.4882534060753408        0.4882534060753435
      2.200000        0.6362860449033195        0.6362860449033214
      2.400000        0.5549614058564281        0.5549614058564398
      2.600000        0.3889374961919690        0.3889374961919690
      2.800000        0.4674916516989059        0.4674916516989060
      3.000000        0.6057207892976856        0.6057207892976857

fresnel_sin_values_test():
  fresnel_sin_values() stores values of
  the Fresnel sine integral S(X).
  fresnel_sin(x) computes the value directly.

        X               S(X)                      S(X)
                        Tabulated                 Computed
      0.000000        0.0000000000000000        0.0000000000000000
      0.200000        0.0041876091616568        0.0041876091616568
      0.400000        0.0333594326606132        0.0333594326606132
      0.600000        0.1105402073593870        0.1105402073593869
      0.800000        0.2493413930539178        0.2493413930539178
      1.000000        0.4382591473903548        0.4382591473903548
      1.200000        0.6234009185462497        0.6234009185462496
      1.400000        0.7135250773634121        0.7135250773634122
      1.600000        0.6388876835093809        0.6388876835093809
      1.800000        0.4509387692675831        0.4509387692675835
      2.000000        0.3434156783636982        0.3434156783637000
      2.200000        0.4557046121246569        0.4557046121246556
      2.400000        0.6196899649456836        0.6196899649456487
      2.600000        0.5499893231527195        0.5499893231527195
      2.800000        0.3915284435431718        0.3915284435431717
      3.000000        0.4963129989673750        0.4963129989673750

fresnel_cos_plot():
  Plot (X,C(X)), where C(X) is the Fresnel cosine integral.
  Graphics saved as "fresnel_cos_plot.png"

fresnel_sin_plot():
  Plot (X,S(X)), where S(X) is the Fresnel sine integral.
  Graphics saved as "fresnel_sin_plot.png"

fresnel_phase_plot():
  Plot (C(X),S(X)), where C(X) and S(X) are 
  the Fresnel cosine and sine integrals.
  Graphics saved as "fresnel_phase_plot.png"

fresnel_test():
  Normal end of execution.
Tue Jul  8 17:33:52 2025