log_rg_space.py 3.36 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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import numpy as np
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from .. import dobj
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from ..compat import *
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from ..field import Field
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from ..sugar import exp
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from .structured_domain import StructuredDomain


class LogRGSpace(StructuredDomain):

    _needed_for_hash = ['_shape', '_bindistances', '_t_0', '_harmonic']

    def __init__(self, shape, bindistances, t_0, harmonic=False):
        super(LogRGSpace, self).__init__()

        self._harmonic = bool(harmonic)

        if np.isscalar(shape):
            shape = (shape,)
        self._shape = tuple(int(i) for i in shape)

        self._bindistances = tuple(bindistances)
        self._t_0 = tuple(t_0)

        self._dim = int(reduce(lambda x, y: x * y, self._shape))
        self._dvol = float(reduce(lambda x, y: x * y, self._bindistances))

    @property
    def harmonic(self):
        return self._harmonic

    @property
    def shape(self):
        return self._shape

    def scalar_dvol(self):
        return self._dvol

    @property
    def bindistances(self):
        return np.array(self._bindistances)

    @property
    def size(self):
        return np.prod(self._shape)

    @property
    def t_0(self):
        return np.array(self._t_0)

    def __repr__(self):
        return ("LogRGSpace(shape=%r, harmonic=%r)"
                % (self.shape, self.harmonic))

    def get_default_codomain(self):
        if self._harmonic:
            raise ValueError("only supported for nonharmonic space")
        codomain_bindistances = 1. / (self.bindistances * self.shape)
        return LogRGSpace(self.shape, codomain_bindistances,
                          np.zeros(len(self.shape)), True)

    def get_k_length_array(self):
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        ib = dobj.ibegin_from_shape(self._shape)
        res = np.arange(self.local_shape[0], dtype=np.float64) + ib[0]
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        res = np.minimum(res, self.shape[0]-res)*self.bindistances[0]
        if len(self.shape) == 1:
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            return Field.from_local_data(self, res)
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        res *= res
        for i in range(1, len(self.shape)):
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            tmp = np.arange(self.local_shape[i], dtype=np.float64) + ib[i]
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            tmp = np.minimum(tmp, self.shape[i]-tmp)*self.bindistances[i]
            tmp *= tmp
            res = np.add.outer(res, tmp)
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        return Field.from_local_data(self, np.sqrt(res))
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    def get_expk_length_array(self):
        # FIXME This is a hack! Only for plotting. Seems not to be the final version.
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        out = exp(self.get_k_length_array()).to_global_data().copy()
        out[1:] = out[:-1]
        out[0] = 0
        return Field.from_global_data(self, out)