test_correlated_fields.py 3.58 KB
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# 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/>.
#
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# Copyright(C) 2013-2020 Max-Planck-Society
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#
# NIFTy is being developed at the Max-Planck-Institut fuer Astrophysik.

import pytest
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from numpy.testing import assert_, assert_allclose
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import nifty6 as ift
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from ..common import setup_function, teardown_function
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pmp = pytest.mark.parametrize
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def _stats(op, samples):
    sc = ift.StatCalculator()
    for s in samples:
        sc.add(op(s.extract(op.domain)))
    return sc.mean.val, sc.var.ptw("sqrt").val

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@pmp('sspace', [ift.RGSpace(4), ift.RGSpace((4, 4), (0.123, 0.4)),
                ift.HPSpace(8), ift.GLSpace(4)])
@pmp('N', [0, 2])
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def testAmplitudesInvariants(sspace, N):
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    fsspace = ift.RGSpace((12,), (0.4,))
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    dofdex1, dofdex2, dofdex3 = None, None, None
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    if N == 2:
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        dofdex1, dofdex2, dofdex3 = [0, 0], [1, 0], [1, 1]
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    astds = 0.2, 1.2
    offset_std_mean = 1.3
    fa = ift.CorrelatedFieldMaker.make(1.2, offset_std_mean, 1e-2, '', N,
                                       dofdex1)
    fa.add_fluctuations(sspace, astds[0], 1e-2, 1.1, 2., 2.1, .5, -2, 1.,
                        'spatial', dofdex=dofdex2)
    fa.add_fluctuations(fsspace, astds[1], 1e-2, 3.1, 1., .5, .1, -4, 1.,
                        'freq', dofdex=dofdex3)
    op = fa.finalize()
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    samples = [ift.from_random(op.domain, 'normal') for _ in range(100)]
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    tot_flm, _ = _stats(fa.total_fluctuation, samples)
    offset_amp_std, _ = _stats(fa.amplitude_total_offset, samples)
    intergated_fluct_std0, _ = _stats(fa.average_fluctuation(0), samples)
    intergated_fluct_std1, _ = _stats(fa.average_fluctuation(1), samples)
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    slice_fluct_std0, _ = _stats(fa.slice_fluctuation(0), samples)
    slice_fluct_std1, _ = _stats(fa.slice_fluctuation(1), samples)
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    sams = [op(s) for s in samples]
    fluct_total = fa.total_fluctuation_realized(sams)
    fluct_space = fa.average_fluctuation_realized(sams, 0)
    fluct_freq = fa.average_fluctuation_realized(sams, 1)
    zm_std_mean = fa.offset_amplitude_realized(sams)
    sl_fluct_space = fa.slice_fluctuation_realized(sams, 0)
    sl_fluct_freq = fa.slice_fluctuation_realized(sams, 1)
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    assert_allclose(offset_amp_std, zm_std_mean, rtol=0.5)
    assert_allclose(intergated_fluct_std0, fluct_space, rtol=0.5)
    assert_allclose(intergated_fluct_std1, fluct_freq, rtol=0.5)
    assert_allclose(tot_flm, fluct_total, rtol=0.5)
    assert_allclose(slice_fluct_std0, sl_fluct_space, rtol=0.5)
    assert_allclose(slice_fluct_std1, sl_fluct_freq, rtol=0.5)
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    fa = ift.CorrelatedFieldMaker.make(0., offset_std_mean, .1, '', N, dofdex1)
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    fa.add_fluctuations(fsspace, astds[1], 1., 3.1, 1., .5, .1, -4, 1., 'freq',
                        dofdex=dofdex3)
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    m = 3.
    x = fa.moment_slice_to_average(m)
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    fa.add_fluctuations(sspace, x, 1.5, 1.1, 2., 2.1, .5, -2, 1., 'spatial', 0,
                        dofdex=dofdex2)
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    op = fa.finalize()
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    em, estd = _stats(fa.slice_fluctuation(0), samples)
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    assert_allclose(m, em, rtol=0.5)
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    assert_(op.target[-2] == sspace)
    assert_(op.target[-1] == fsspace)