Demo_Lienard_BoA.py

import numpy as np

from VISolver.Domains.Lienard import Lienard

from VISolver.Solvers.HeunEuler_LEGS import HeunEuler_LEGS

from VISolver.Solver import Solve
from VISolver.Options import (
    DescentOptions, Miscellaneous, Reporting, Termination, Initialization)
from VISolver.Log import PrintSimStats

from VISolver.Utilities import ListONP2NP

from VISolver.BoA.Utilities import aug_grid
from VISolver.BoA.MCGrid_Enhanced import MCT
from VISolver.BoA.Plotting import plotBoA, plotDistribution


def Demo():

    #__LIENARD_SYSTEM__##################################################

    # Define Network and Domain
    Domain = Lienard()

    # Set Method
    Method = HeunEuler_LEGS(Domain=Domain,Delta0=1e-5)

    # Set Options
    Init = Initialization(Step=1e-5)
    Term = Termination(MaxIter=5e4)
    Repo = Reporting(Requests=['Data','Step'])
    Misc = Miscellaneous()
    Options = DescentOptions(Init,Term,Repo,Misc)
    args = (Method,Domain,Options)
    sim = Solve

    # Print Stats
    PrintSimStats(Domain,Method,Options)

    # Construct grid
    grid = [np.array([-2.5,2.5,13])]*2
    grid = ListONP2NP(grid)
    grid = aug_grid(grid)
    Dinv = np.diag(1./grid[:,3])
    r = 1.1*max(grid[:,3])

    # Compute Results
    results = MCT(sim,args,grid,nodes=8,parallel=True,limit=5,AVG=-1,
                  eta_1=1.2,eta_2=.95,eps=1.,
                  L=8,q=2,r=r,Dinv=Dinv)
    ref, data, p, i, avg, bndry_ids, starts = results

    # Plot BoAs
    figBoA, axBoA = plotBoA(ref,data,grid,wcolor=True,wscatter=True)

    # Plot Probablity Distribution
    figP, axP = plotDistribution(p,grid)

if __name__ == '__main__':
    Demo()