gllmtransformation.py

# NIFTy
# Copyright (C) 2017  Theo Steininger
#
# Author: Theo Steininger
#
# 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/>.

import numpy as np

from nifty.config import dependency_injector as gdi
from nifty import GLSpace, LMSpace
from slicing_transformation import SlicingTransformation
import lm_transformation_factory as ltf

pyHealpix = gdi.get('pyHealpix')


class GLLMTransformation(SlicingTransformation):

    # ---Overwritten properties and methods---

    def __init__(self, domain, codomain=None, module=None):
        if 'pyHealpix' not in gdi:
            raise ImportError(
                "The module pyHealpix is needed but not available.")

        super(GLLMTransformation, self).__init__(domain, codomain,
                                                 module=module)

    # ---Mandatory properties and methods---

    @classmethod
    def get_codomain(cls, domain):
        """
            Generates a compatible codomain to which transformations are
            reasonable, i.e.\  an instance of the :py:class:`lm_space` class.

            Parameters
            ----------
            domain: GLSpace
                Space for which a codomain is to be generated

            Returns
            -------
            codomain : LMSpace
                A compatible codomain.
        """

        if not isinstance(domain, GLSpace):
            raise TypeError(
                "domain needs to be a GLSpace")

        nlat = domain.nlat
        lmax = nlat - 1
        mmax = nlat - 1
        if domain.dtype == np.dtype('float32'):
            return_dtype = np.float32
        else:
            return_dtype = np.float64

        result = LMSpace(lmax=lmax, dtype=return_dtype)
        cls.check_codomain(domain, result)
        return result

    @staticmethod
    def check_codomain(domain, codomain):
        if not isinstance(domain, GLSpace):
            raise TypeError(
                "domain is not a GLSpace")

        if not isinstance(codomain, LMSpace):
            raise TypeError(
                "codomain must be a LMSpace.")

        nlat = domain.nlat
        nlon = domain.nlon
        lmax = codomain.lmax
        mmax = codomain.mmax

        if lmax != mmax:
            raise ValueError(
                'ERROR: codomain has lmax != mmax.')

        if lmax != nlat - 1:
            raise ValueError(
                'ERROR: codomain has lmax != nlat - 1.')

        if nlon != 2 * nlat - 1:
            raise ValueError(
                'ERROR: domain has nlon != 2 * nlat - 1.')

        return None

    def _transformation_of_slice(self, inp, **kwargs):
        nlat = self.domain.nlat
        nlon = self.domain.nlon
        lmax = self.codomain.lmax
        mmax = self.codomain.mmax

        sjob=pyHealpix.sharpjob_d()
        sjob.set_Gauss_geometry(nlat,nlon)
        sjob.set_triangular_alm_info(lmax,mmax)
        if issubclass(inp.dtype.type, np.complexfloating):

            [resultReal, resultImag] = [sjob.map2alm(x)
                                        for x in (inp.real, inp.imag)]

            [resultReal, resultImag] = [ltf.buildIdx(x, lmax=lmax)
                                        for x in [resultReal, resultImag]]

            result = self._combine_complex_result(resultReal, resultImag)
        else:
            result = sjob.map2alm(inp)
            result = ltf.buildIdx(result, lmax=lmax)

        return result