test_smoothing_operator.py

# This program 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 of the License, or
# (at your option) any later version.
#
# This program 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 this program.  If not, see <http://www.gnu.org/licenses/>.
#
# Copyright(C) 2013-2017 Max-Planck-Society
#
# NIFTy is being developed at the Max-Planck-Institut fuer Astrophysik
# and financially supported by the Studienstiftung des deutschen Volkes.

import unittest
import numpy as np
from numpy.testing import assert_equal, assert_approx_equal,\
    assert_allclose

from nifty import Field,\
    RGSpace,\
    PowerSpace,\
    SmoothingOperator

from itertools import product
from test.common import expand


def _get_rtol(tp):
    if (tp == np.float64) or (tp == np.complex128):
        return 1e-10
    else:
        return 1e-5

class SmoothingOperator_Tests(unittest.TestCase):
    spaces = [RGSpace(100)]

    @expand(product(spaces, [0., .5, 5.], [True, False]))
    def test_property(self, space, sigma, log_distances):
        op = SmoothingOperator.make(space, sigma=sigma,
                              log_distances=log_distances)
        if op.domain[0] != space:
            raise TypeError
        if op.unitary != False:
            raise ValueError
        if op.self_adjoint != True:
            raise ValueError
        if op.sigma != sigma:
            raise ValueError
        if op.log_distances != log_distances:
            raise ValueError

    @expand(product(spaces, [0., .5, 5.], [True, False]))
    def test_adjoint_times(self, space, sigma, log_distances):
        op = SmoothingOperator.make(space, sigma=sigma,
                              log_distances=log_distances)
        rand1 = Field.from_random('normal', domain=space)
        rand2 = Field.from_random('normal', domain=space)
        tt1 = rand1.vdot(op.times(rand2))
        tt2 = rand2.vdot(op.adjoint_times(rand1))
        assert_approx_equal(tt1, tt2)

    @expand(product(spaces, [0., .5, 5.], [False]))
    def test_times(self, space, sigma, log_distances):
        op = SmoothingOperator.make(space, sigma=sigma,
                              log_distances=log_distances)
        rand1 = Field(space, val=0.)
        rand1.val[0] = 1.
        tt1 = op.times(rand1)
        assert_approx_equal(1, tt1.sum())

    @expand(product(spaces, [0., .5, 5.], [True, False]))
    def test_inverse_adjoint_times(self, space, sigma, log_distances):
        op = SmoothingOperator.make(space, sigma=sigma,
                              log_distances=log_distances)
        rand1 = Field.from_random('normal', domain=space)
        rand2 = Field.from_random('normal', domain=space)
        tt1 = rand1.vdot(op.inverse_times(rand2))
        tt2 = rand2.vdot(op.inverse_adjoint_times(rand1))
        assert_approx_equal(tt1, tt2)

    @expand(product([100, 200], [1, 0.4], [0., 1.,  3.7],
                    [np.float64, np.complex128]))
    def test_smooth_regular1(self, sz, d, sigma, tp):
        tol = _get_rtol(tp)
        sp = RGSpace(sz, harmonic=True, distances=d)
        smo = SmoothingOperator.make(sp, sigma=sigma)
        inp = Field.from_random(domain=sp, random_type='normal', std=1, mean=4,
                                dtype=tp)
        out = smo(inp)
        inp = inp.val.get_full_data()
        assert_allclose(inp.sum(), out.sum(), rtol=tol, atol=tol)

    @expand(product([10, 15], [7, 10], [1, 0.4], [2, 0.3], [0., 1.,  3.7],
                    [np.float64, np.complex128]))
    def test_smooth_regular2(self, sz1, sz2, d1, d2, sigma, tp):
        tol = _get_rtol(tp)
        sp = RGSpace([sz1, sz2], distances=[d1, d2], harmonic=True)
        smo = SmoothingOperator.make(sp, sigma=sigma)
        inp = Field.from_random(domain=sp, random_type='normal', std=1, mean=4,
                                dtype=tp)
        out = smo(inp)
        inp = inp.val.get_full_data()
        assert_allclose(inp.sum(), out.sum(), rtol=tol, atol=tol)

    @expand(product([100, 200], [False, True], [0., 1.,  3.7],
                    [np.float64, np.complex128]))
    def test_smooth_irregular1(self, sz, log, sigma, tp):
        tol = _get_rtol(tp)
        sp = RGSpace(sz, harmonic=True)
        ps = PowerSpace(sp, nbin=sz, logarithmic=log)
        smo = SmoothingOperator.make(ps, sigma=sigma)
        inp = Field.from_random(domain=ps, random_type='normal', std=1, mean=4,
                                dtype=tp)
        out = smo(inp)
        inp = inp.val.get_full_data()
        assert_allclose(inp.sum(), out.sum(), rtol=tol, atol=tol)

    @expand(product([10, 15], [7, 10], [False, True], [0., 1.,  3.7],
                    [np.float64, np.complex128]))
    def test_smooth_irregular2(self, sz1, sz2, log, sigma, tp):
        tol = _get_rtol(tp)
        sp = RGSpace([sz1, sz2], harmonic=True)
        ps = PowerSpace(sp, logarithmic=log)
        smo = SmoothingOperator.make(ps, sigma=sigma)
        inp = Field.from_random(domain=ps, random_type='normal', std=1, mean=4,
                                dtype=tp)
        out = smo(inp)
        inp = inp.val.get_full_data()
        assert_allclose(inp.sum(), out.sum(), rtol=tol, atol=tol)