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run_analysis.py
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run_analysis.py
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# -*- coding: utf-8 -*-
"""
Created on Thu Nov 11 10:40:57 2021
@author: maple
"""
import numpy as np
from poincare_map import PoincareMapper
import scipy.optimize
# %% Set up Baseline Poincare Mapper
#pm = PoincareMapper('poincare_input/poincare_config_validation.npz')
#numeigs = len(pm.data['kys'])
#pm.generateFullSection(np.ones(numeigs), np.zeros(numeigs), 'sections/section_validation.npz')
# %% Set up Poincare Mapper
suffix = '_uphavg'
#suffix = ''
case = 2
pm = PoincareMapper('poincare_input/case{}_poincare_config_fd_smooth{}.npz'.format(case, suffix))
numeigs = len(pm.data['kys'])
timedata = np.load('poincare_input/case{}_eigencomponent_timedata{}.npz'.format(case, suffix), 'r')
# %% Generate some sections of breaking waves
"""
pm.generateBreakingSection(np.ones(numeigs)*0.4, np.zeros(numeigs), pm.qmin, 8, 'sections/case{}_breaking_amp040.npz'.format(case), resampling=True)
pm.generateBreakingSection(np.ones(numeigs)*1.0, np.zeros(numeigs), pm.qmin, 8, 'sections/case{}_breaking_amp100.npz'.format(case), resampling=True)
pm.generateBreakingSection(np.ones(numeigs)*1.2, np.zeros(numeigs), pm.qmin, 8, 'sections/case{}_breaking_amp120.npz'.format(case), resampling=True)
"""
timeind = 0 if (case==1) else 192
ampmults = timedata['ampdevs'][:,timeind]
phasedevs = timedata['phasedevs'][:,timeind]
uyf = pm.funcs[3]
qbarf = pm.qbarf
uymaxx = scipy.optimize.minimize_scalar(lambda x: -uyf(x), bounds=(-np.pi, np.pi), method='bounded')
qmax = qbarf(uymaxx.x) + 8*(uymaxx.x)
solmin, yclipmin = pm.generateBreakingSection(ampmults, phasedevs, pm.qmin, 16, 'sections/case{}_breaking_qmin_.npz'.format(case), resampling=True)
lyap, lyapstd = pm.findLyapunov(solmin, yclipmin, resampling=True)
print(lyap)
solmax, yclipmax = pm.generateBreakingSection(ampmults, phasedevs, qmax, 16, 'sections/case{}_breaking_qmax_.npz'.format(case), resampling=True)
lyap, lyapstd = pm.findLyapunov(solmax, yclipmax, resampling=True)
print(lyap)
#pm.generateBreakingSection(np.sqrt(pm.data['rsquared'])*0.4, np.zeros(numeigs), pm.qmin, 8, 'sections/case{}_breaking_amp040.npz'.format(case), resampling=True)
#pm.generateBreakingSection(np.sqrt(pm.data['rsquared'])*1.0, np.zeros(numeigs), pm.qmin, 8, 'sections/case{}_breaking_amp100.npz'.format(case), resampling=True)
#pm.generateBreakingSection(np.sqrt(pm.data['rsquared'])*1.2, np.zeros(numeigs), pm.qmin, 8, 'sections/case{}_breaking_amp120.npz'.format(case), resampling=True)
# %% Lyapunov exponents versus number of modes kept
"""
numwaves = [numeigs]
lyaps = np.zeros(len(numwaves))
lyapstds = np.zeros(len(numwaves))
for ind in range(len(numwaves)):
waves = numwaves[ind]
print(waves)
ampmult = np.ones(numeigs)
ampmult[waves:] = 0
phaseoffs = np.zeros(numeigs)
for i in range(len(pm.qmins)):
sol, yclip = pm.generateBreakingSection(ampmult, phaseoffs, pm.qmins[i], sections=8, resampling=True)
lyap, lyapstd = pm.findLyapunov(sol, yclip, resampling=True)
if lyap >= lyaps[ind]:
lyaps[ind] = lyap
lyapstds[ind] = lyapstd
print('nfev:', sol.nfev)
#lyaps[ind] = lyap
#lyapstds[ind] = lyapstd
print('-----')
np.savez('lyapunovs/case{}_lyaps_numwaves{}.npz'.format(case, suffix), numwaves=numwaves, lyaps=lyaps, lyapstds=lyapstds)
"""
# %% Generate amplitude lyapunov exponents
"""
print('contour locations')
for i in range(len(pm.qmins)):
print(pm.uyminxs[i])
amprange = np.arange(0.0, 1.61, 0.05)
#numwaves = reversed(list(range(2,numeigs+1)))
#numwaves = [24]
if case == 1:
numwaves = [3, 4, 5, 6, 7, 8]
else:
numwaves = [13, 14, 15, 16, 17, 18]
nfev = np.zeros(amprange.shape, dtype=np.int32)
for waves in numwaves:
lyaps = np.zeros(len(amprange))
lyapstds = np.zeros(len(amprange))
for ind in range(len(amprange)):
m = amprange[ind]
print(m, waves)
ampmult = np.ones(numeigs)*m
ampmult[waves:] = 0
phaseoffs = np.zeros(numeigs)
for i in range(len(pm.qmins)):
sol, yclip = pm.generateBreakingSection(ampmult, phaseoffs, pm.qmins[i], sections=8, resampling=True)
lyap, lyapstd = pm.findLyapunov(sol, yclip, resampling=True)
if lyap >= lyaps[ind]:
lyaps[ind] = lyap
lyapstds[ind] = lyapstd
print('nfev:', sol.nfev)
#lyaps[ind] = lyap
#lyapstds[ind] = lyapstd
print('-----')
np.savez('lyapunovs/case{}_lyaps_multicontour_{}modes.npz'.format(case, waves), amprange=amprange, lyaps=lyaps, lyapstds=lyapstds, nfev=nfev)
#np.savez('lyapunovs/case{}_lyaps_multicontour_5modes.npz'.format(case, waves), amprange=amprange, lyaps=lyaps, lyapstds=lyapstds, nfev=nfev)
"""
# %% Phase lyapunov exponents
"""
amprange = np.arange(0.9, 1.15, 0.05)
phrange = np.linspace(-np.pi, np.pi, endpoint=False, num=24)
ampall, phall = np.meshgrid(amprange, phrange)
numall = len(ampall.ravel())
lyaps = np.zeros(numall)
lyapstds = np.zeros(numall)
for ind in range(numall):
m = ampall.ravel()[ind]
ph = phall.ravel()[ind]
print(m, ph)
ampmult = np.ones(numeigs)
phaseoffs = np.zeros(numeigs)
phaseoffs[0] = ph
ampmult[0] = m
for i in range(len(pm.qmins)):
sol, yclip = pm.generateBreakingSection(ampmult, phaseoffs, pm.qmins[i], resampling=True, sections=8)
lyap, lyapstd = pm.findLyapunov(sol, yclip, resampling=True)
if lyap >= lyaps[ind]:
lyaps[ind] = lyap
lyapstds[ind] = lyapstd
#sol, yclip = pm.generateBreakingSection(ampmult, phaseoffs, pm.qmin)
#lyap, lyapstd = pm.findLyapunov(sol, yclip)
#lyaps[ind] = lyap
#lyapstds[ind] = lyapstd
print('-----')
np.savez('lyapunovs/case{}_lyaps_multicontour_allphases.npz'.format(case), amprange=amprange, phrange=phrange, lyaps=np.reshape(lyaps, ampall.shape), lyapstds=np.reshape(lyapstds, ampall.shape))
"""
# %% Phase Lyapunov exponents, in another way
"""
phrange = np.linspace(-np.pi, np.pi, endpoint=False, num=24)
data = np.load('lyapunovs/case{}_lyaps_multicontour_perwavephase.npz'.format(case))
lyaps = data['lyaps']
lyapstds = data['lyapstds']
for k in range(numeigs):
for j in range(len(phrange)):
if lyapstds[j,k] > 0:
continue
ampmult = np.ones(numeigs)
phaseoffs = np.zeros(numeigs)
phaseoffs[k] = phrange[j]
print(k, phrange[j])
for i in range(len(pm.qmins)):
sol, yclip = pm.generateBreakingSection(ampmult, phaseoffs, pm.qmins[i], resampling=True, sections=8)
lyap, lyapstd = pm.findLyapunov(sol, yclip, resampling=True)
if lyap >= lyaps[j,k]:
lyaps[j,k] = lyap
lyapstds[j,k] = lyapstd
print('-----')
np.savez('lyapunovs/case{}_lyaps_multicontour_perwavephase.npz'.format(case), phrange=phrange, lyaps=lyaps, lyapstds=lyapstds)
"""
# %% Long time lyapunov exponents
"""
timedata = np.load('./poincare_input/eigencomponent_longtimedata.npz')
ampdevs = timedata['ampdevs']
phasedevs = timedata['phasedevs']
t = np.linspace(2400, 3600, num=13, endpoint=True)
lyaps = np.zeros(shape=(3,len(t)))
lyapstds = np.zeros(shape=(3,len(t)))
for ind in range(len(t)):
print(t[ind])
for i in range(len(pm.qmins)):
sol, yclip = pm.generateBreakingSection(ampdevs[:,ind], phasedevs[:,ind], pm.qmins[i], resampling=True)
lyap, lyapstd = pm.findLyapunov(sol, yclip, resampling=True)
lyaps[i,ind] = lyap
lyapstds[i,ind] = lyapstd
#sol, yclip = pm.generateBreakingSection(ampdevs[:,ind], phasedevs[:,ind], pm.qmin, sections=20, resampling=True)
#lyap, lyapstd = pm.findLyapunov(sol, yclip, resampling=True)
#lyaps[ind] = lyap
#lyapstds[ind] = lyapstd
print('-----')
np.savez('lyapunovs/lyaps_multicontour_longtimedependent_allmodes.npz', lyaps=lyaps, lyapstds=lyapstds)
"""
# %% Poincare sections via amplitude of waves
"""
amprange = ['100']
#amprange = ['100', '110']
numwaves = numeigs
for i in range(len(amprange)):
m = float(amprange[i])/100.0
print('sections/case{}_section_amp{}{}.npz'.format(case,amprange[i], suffix))
ampmult = np.ones(numeigs)*m
ampmult[numwaves:] = 0
#pm.generateFullSection(np.ones(numeigs)*m, np.zeros(numeigs), 'sections/case{}_section_amp{}{}.npz'.format(case,amprange[i], suffix), nparticles=193, sections=3109, fancyspacing=True)
pm.generateFullSection(ampmult, np.zeros(numeigs), 'sections/case{}_section_amp{}{}.npz'.format(case,amprange[i], suffix), nparticles=521, sections=521, fancyspacing=True)
"""
"""
ampmult = np.ones(numeigs)
amps = pm.data['amps']
ampmult[0] = amps[7]/amps[0]
ampmult[7] = amps[0]/amps[7]
print('switched')
pm.generateFullSection(ampmult, np.zeros(numeigs), 'sections/section_switched.npz')
"""