correlated_fields.py 2.88 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/>.
#
# Copyright(C) 2013-2018 Max-Planck-Society
#
# NIFTy is being developed at the Max-Planck-Institut fuer Astrophysik
# and financially supported by the Studienstiftung des deutschen Volkes.

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from __future__ import absolute_import, division, print_function
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from ..compat import *
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from ..domain_tuple import DomainTuple
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from ..multi_domain import MultiDomain
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from ..operators.distributors import PowerDistributor
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from ..operators.domain_distributor import DomainDistributor
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from ..operators.harmonic_operators import HarmonicTransformOperator
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from ..operators.simple_linear_operators import FieldAdapter
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from ..sugar import exp
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def CorrelatedField(s_space, amplitude_model):
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    '''
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    Function for construction of correlated fields
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    Parameters
    ----------
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    s_space : Field domain
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    amplitude_model : model for correlation structure
    '''
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    h_space = s_space.get_default_codomain()
    ht = HarmonicTransformOperator(h_space, s_space)
    p_space = amplitude_model.target[0]
    power_distributor = PowerDistributor(h_space, p_space)
    A = power_distributor(amplitude_model)
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    return ht(A*FieldAdapter(MultiDomain.make({"xi": h_space}), "xi"))
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def MfCorrelatedField(s_space_spatial, s_space_energy, amplitude_model_spatial,
                      amplitude_model_energy):
    '''
    Method for construction of correlated multi-frequency fields
    '''
    h_space_spatial = s_space_spatial.get_default_codomain()
    h_space_energy = s_space_energy.get_default_codomain()
    h_space = DomainTuple.make((h_space_spatial, h_space_energy))
    ht1 = HarmonicTransformOperator(h_space, space=0)
    ht2 = HarmonicTransformOperator(ht1.target, space=1)
    ht = ht2(ht1)

    p_space_spatial = amplitude_model_spatial.target[0]
    p_space_energy = amplitude_model_energy.target[0]

    pd_spatial = PowerDistributor(h_space, p_space_spatial, 0)
    pd_energy = PowerDistributor(pd_spatial.domain, p_space_energy, 1)
    pd = pd_spatial(pd_energy)

    dom_distr_spatial = DomainDistributor(pd.domain, 0)
    dom_distr_energy = DomainDistributor(pd.domain, 1)

    a_spatial = dom_distr_spatial(amplitude_model_spatial)
    a_energy = dom_distr_energy(amplitude_model_energy)
    a = a_spatial*a_energy
    A = pd(a)
    return exp(ht(A*FieldAdapter(MultiDomain.make({"xi": h_space}), "xi")))