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python_projection_tests.py
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#!/usr/bin/env python3
# -*- coding:utf-8 -*-
"""
file python_projection_tests.py
@author Till Junge <till.junge@altermail.ch>
@date 18 Jan 2018
@brief compare µSpectre's projection operators to GooseFFT
@section LICENSE
Copyright © 2018 Till Junge
µSpectre is free software; you can redistribute it and/or
modify it under the terms of the GNU General Public License as
published by the Free Software Foundation, either version 3, or (at
your option) any later version.
µSpectre is distributed in the hope that it will be useful, but
WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
General Public License for more details.
You should have received a copy of the GNU General Public License
along with GNU Emacs; see the file COPYING. If not, write to the
Free Software Foundation, Inc., 59 Temple Place - Suite 330,
Boston, MA 02111-1307, USA.
"""
import unittest
import numpy as np
import itertools
from python_test_imports import µ
from python_goose_ref import SmallStrainProjectionGooseFFT, FiniteStrainProjectionGooseFFT
def build_test_classes(Projection, RefProjection, name):
class ProjectionCheck(unittest.TestCase):
def __init__(self, methodName='runTest'):
super().__init__(methodName)
self.__class__.__qualname__ = name
def setUp(self):
self.ref = RefProjection
self.resolution = self.ref.resolution
self.ndim = self.ref.ndim
self.shape = list((self.resolution for _ in range(self.ndim)))
self.projection = Projection(self.shape, self.shape)
self.projection.initialise()
self.tol = 1e-12*np.prod(self.shape)
def test_CompareGhat4(self):
# refG is rowmajor and the dims are i,j,k,l,x,y(,z)
# reshape refG so they are n² × n² × ¶(resolution)
refG = self.ref.Ghat4.reshape(
self.ndim**2, self.ndim**2, np.prod(self.shape))
# mspG is colmajor (not sure what that's worth, though) with dims
# ijkl, xy(z)
# reshape mspG so they are ¶(hermitian) × n² × n²
ref_sizes = self.shape
msp_sizes = µ.get_hermitian_sizes(self.shape)
hermitian_size = np.prod(msp_sizes)
mspG = self.projection.get_operator()
#this test only makes sense for fully stored ghats (i.e.,
#not for the faster alternative implementation
if mspG.size != hermitian_size*self.ndim**4:
return
rando = np.random.random((self.ndim, self.ndim))
for i in range(hermitian_size):
coord = µ.get_ccoord(msp_sizes, i)
ref_id = µ.get_index(ref_sizes, coord)
msp_id = µ.get_index(msp_sizes, coord)
# story behind this order vector:
# There was this issue with the projection operator of
# de Geus acting on the the transpose of the gradient.
order = np.arange(self.ndim**2).reshape(
self.ndim, self.ndim).T.reshape(-1)
msp_g = mspG[:, msp_id].reshape(self.ndim**2, self.ndim**2)[order, :]
error = np.linalg.norm(refG[:, :, ref_id] -
msp_g)
condition = error < self.tol
if not condition:
print("G_µ{}, at index {} =\n{}".format(coord, msp_id, msp_g))
print("G_g{}, at index {} =\n{}".format(coord, ref_id, refG[:, :, ref_id]))
self.assertTrue(condition)
def test_projection_result(self):
# create a bogus strain field in GooseFFT format
# dim × dim × N × N (× N)
strain_shape = (self.ndim, self.ndim, *self.shape)
strain = np.arange(np.prod(strain_shape)).reshape(strain_shape)
# if we're testing small strain projections, it needs to be symmetric
if self.projection.get_formulation() == µ.Formulation.small_strain:
strain += strain.transpose(1, 0, *range(2, len(strain.shape)))
strain_g = strain.copy()
b_g = self.ref.G(strain_g).reshape(strain_g.shape)
strain_µ = np.zeros((*self.shape, self.ndim, self.ndim))
for ijk in itertools.product(range(self.resolution), repeat=self.ndim):
index_µ = tuple((*ijk, slice(None), slice(None)))
index_g = tuple((slice(None), slice(None), *ijk))
strain_µ[index_µ] = strain_g[index_g].T
b_µ = self.projection.apply_projection(strain_µ.reshape(
np.prod(self.shape), self.ndim**2).T).T.reshape(strain_µ.shape)
for ijk in itertools.product(range(self.resolution), repeat=self.ndim):
index_µ = tuple((*ijk, slice(None), slice(None)))
index_g = tuple((slice(None), slice(None), *ijk))
b_µ_sl = b_µ[index_µ].T
b_g_sl = b_g[index_g]
error = np.linalg.norm(b_µ_sl-b_g_sl)
condition = error < self.tol
slice_printer = lambda tup: "({})".format(
", ".join("{}".format(":" if val == slice(None) else val) for val in tup))
if not condition:
print("error = {}, tol = {}".format(error, self.tol))
print("b_µ{} =\n{}".format(slice_printer(index_µ), b_µ_sl))
print("b_g{} =\n{}".format(slice_printer(index_g), b_g_sl))
self.assertTrue(condition)
return ProjectionCheck
get_goose = lambda ndim, proj_type: proj_type(
ndim, 5, 2, 70e9, .33, 3.)
get_finite_goose = lambda ndim: get_goose(ndim, FiniteStrainProjectionGooseFFT)
get_small_goose = lambda ndim: get_goose(ndim, SmallStrainProjectionGooseFFT)
small_default_3 = build_test_classes(µ.fft.ProjectionSmallStrain_3d,
get_small_goose(3),
"SmallStrainDefaultProjection3d")
small_default_2 = build_test_classes(µ.fft.ProjectionSmallStrain_2d,
get_small_goose(2),
"SmallStrainDefaultProjection2d")
finite_default_3 = build_test_classes(µ.fft.ProjectionFiniteStrain_3d,
get_finite_goose(3),
"FiniteStrainDefaultProjection3d")
finite_default_2 = build_test_classes(µ.fft.ProjectionFiniteStrain_2d,
get_finite_goose(2),
"FiniteStrainDefaultProjection2d")
finite_fast_3 = build_test_classes(µ.fft.ProjectionFiniteStrainFast_3d,
get_finite_goose(3),
"FiniteStrainFastProjection3d")
finite_fast_2 = build_test_classes(µ.fft.ProjectionFiniteStrainFast_2d,
get_finite_goose(2),
"FiniteStrainFastProjection2d")
if __name__ == "__main__":
unittest.main()

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