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authorGravatar Edoardo Zoni <59625522+EZoni@users.noreply.github.com> 2022-12-02 20:20:17 -0800
committerGravatar GitHub <noreply@github.com> 2022-12-02 20:20:17 -0800
commit2857ca08a97b3a8f82d902480816acac0b9614d6 (patch)
tree5999a62464445e491eeb81a96444f48c0fa41125 /Examples/Modules/resampling/analysis_leveling_thinning.py
parent3b6a467d1b7dd79ce90b02048dd1c6a0db7b138d (diff)
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Clean up examples folders (#3545)
* Clean up examples folders * Use `snake_case` names * Rename `nci_corrector` as `nci_fdtd_stability`
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diff --git a/Examples/Modules/resampling/analysis_leveling_thinning.py b/Examples/Modules/resampling/analysis_leveling_thinning.py
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-#!/usr/bin/env python3
-
-# Copyright 2020 Neil Zaim
-#
-# This file is part of WarpX.
-#
-# License: BSD-3-Clause-LBNL
-
-## In this test, we check that leveling thinning works as expected on two simple cases. Each case
-## corresponds to a different particle species.
-
-import os
-import sys
-
-import numpy as np
-from scipy.special import erf
-import yt
-
-sys.path.insert(1, '../../../../warpx/Regression/Checksum/')
-import checksumAPI
-
-fn_final = sys.argv[1]
-fn0 = fn_final[:-4] + '0000'
-
-ds0 = yt.load(fn0)
-ds = yt.load(fn_final)
-
-ad0 = ds0.all_data()
-ad = ds.all_data()
-
-numcells = 16*16
-t_r = 1.3 # target ratio
-relative_tol = 1.e-13 # tolerance for machine precision errors
-
-
-#### Tests for first species ####
-# Particles are present in all simulation cells and all have the same weight
-
-ppc = 400.
-numparts_init = numcells*ppc
-
-w0 = ad0['resampled_part1','particle_weight'].to_ndarray() # weights before resampling
-w = ad['resampled_part1','particle_weight'].to_ndarray() # weights after resampling
-
-# Renormalize weights for easier calculations
-w0 = w0*ppc
-w = w*ppc
-
-# Check that initial number of particles is indeed as expected
-assert(w0.shape[0] == numparts_init)
-# Check that all initial particles have the same weight
-assert(np.unique(w0).shape[0] == 1)
-# Check that this weight is 1 (to machine precision)
-assert(abs(w0[0] - 1) < relative_tol)
-
-# Check that the number of particles after resampling is as expected
-numparts_final = w.shape[0]
-expected_numparts_final = numparts_init/t_r**2
-error = np.abs(numparts_final - expected_numparts_final)
-std_numparts_final = np.sqrt(numparts_init/t_r**2*(1.-1./t_r**2))
-# 5 sigma test that has an intrinsic probability to fail of 1 over ~2 millions
-print("difference between expected and actual final number of particles (1st species): " + str(error))
-print("tolerance: " + str(5*std_numparts_final))
-assert(error<5*std_numparts_final)
-
-# Check that the final weight is the same for all particles (to machine precision) and is as
-# expected
-final_weight = t_r**2
-assert(np.amax(np.abs(w-final_weight)) < relative_tol*final_weight )
-
-
-#### Tests for second species ####
-# Particles are only present in a single cell and have a gaussian weight distribution
-# Using a single cell makes the analysis easier because leveling thinning is done separately in
-# each cell
-
-ppc = 100000.
-numparts_init = ppc
-
-w0 = ad0['resampled_part2','particle_weight'].to_ndarray() # weights before resampling
-w = ad['resampled_part2','particle_weight'].to_ndarray() # weights after resampling
-
-# Renormalize and sort weights for easier calculations
-w0 = np.sort(w0)*ppc
-w = np.sort(w)*ppc
-
-## First we verify that the initial distribution is as expected
-
-# Check that the mean initial weight is as expected
-mean_initial_weight = np.average(w0)
-expected_mean_initial_weight = 2.*np.sqrt(2.)
-error = np.abs(mean_initial_weight - expected_mean_initial_weight)
-expected_std_initial_weight = 1./np.sqrt(2.)
-std_mean_initial_weight = expected_std_initial_weight/np.sqrt(numparts_init)
-# 5 sigma test that has an intrinsic probability to fail of 1 over ~2 millions
-print("difference between expected and actual mean initial weight (2nd species): " + str(error))
-print("tolerance: " + str(5*std_mean_initial_weight))
-assert(error<5*std_mean_initial_weight)
-
-# Check that the initial weight variance is as expected
-variance_initial_weight = np.var(w0)
-expected_variance_initial_weight = 0.5
-error = np.abs(variance_initial_weight - expected_variance_initial_weight)
-std_variance_initial_weight = expected_variance_initial_weight*np.sqrt(2./numparts_init)
-# 5 sigma test that has an intrinsic probability to fail of 1 over ~2 millions
-print("difference between expected and actual variance of initial weight (2nd species): " + str(error))
-print("tolerance: " + str(5*std_variance_initial_weight))
-
-## Next we verify that the resampling worked as expected
-
-# Check that the level weight value is as expected from the initial distribution
-level_weight = w[0]
-assert(np.abs(level_weight - mean_initial_weight*t_r) < level_weight*relative_tol)
-
-# Check that the number of particles at the level weight is the same as predicted from analytic
-# calculations
-numparts_leveled = np.argmax(w > level_weight) # This returns the first index for which
-# w > level_weight, which thus corresponds to the number of particles at the level weight
-expected_numparts_leveled = numparts_init/(2.*t_r)*(1+erf(expected_mean_initial_weight*(t_r-1.)) \
- -1./(np.sqrt(np.pi)*expected_mean_initial_weight)* \
- np.exp(-(expected_mean_initial_weight*(t_r-1.))**2))
-error = np.abs(numparts_leveled - expected_numparts_leveled)
-std_numparts_leveled = np.sqrt(expected_numparts_leveled - numparts_init/np.sqrt(np.pi)/(t_r* \
- expected_mean_initial_weight)**2*(np.sqrt(np.pi)/4.* \
- (2.*expected_mean_initial_weight**2+1.)*(1.-erf(expected_mean_initial_weight* \
- (t_r-1.)))-0.5*np.exp(-(expected_mean_initial_weight*(t_r-1.))**2* \
- (expected_mean_initial_weight*(t_r+1.)))))
-# 5 sigma test that has an intrinsic probability to fail of 1 over ~2 millions
-print("difference between expected and actual number of leveled particles (2nd species): " + str(error))
-print("tolerance: " + str(5*std_numparts_leveled))
-
-numparts_unaffected = w.shape[0] - numparts_leveled
-numparts_unaffected_anticipated = w0.shape[0] - np.argmax(w0 > level_weight)
-# Check that number of particles with weight higher than level weight is the same before and after
-# resampling
-assert(numparts_unaffected == numparts_unaffected_anticipated)
-# Check that particles with weight higher than level weight are unaffected by resampling.
-assert(np.all(w[-numparts_unaffected:] == w0[-numparts_unaffected:]))
-
-test_name = os.path.split(os.getcwd())[1]
-checksumAPI.evaluate_checksum(test_name, fn_final)