Sun May 29 20:06:54 2022

midpoint_adaptive_test():
  Python version: 3.6.9
  Test midpoint_adaptive().

lotka_test():
  midpoint_adaptive() solves lotka_ode().
  A pair of ordinary differential equations for a population
  of predators and prey are solved using midpoint().

  The exact solution shows periodic behavior, with a fixed
  period and amplitude.

  mad_compute(): count =  1780

mad_stats():

  Final time interval is [ 99.89879008290069 , 100.01179486709596 ]
  Number of times t()  1781
  Number of timesteps tau()  1780
  Minimum timestep is  0.022363005635464006
  Maximum timestep is  0.12434693327115909
  Graphics saved as "lotka_timesteps.png"
  Graphics saved as "lotka_timestep_ratios.png"
  Graphics saved as "lotka_time.png"
  Graphics saved as "lotka_phase.png"

midpoint_adaptive_test():
  Normal end of execution.
Sun May 29 20:06:55 2022