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/*
* This file is part of Healpix_cxx.
*
* Healpix_cxx 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 2 of the License, or
* (at your option) any later version.
*
* Healpix_cxx 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 Healpix_cxx; if not, write to the Free Software
* Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
*
* For more information about HEALPix, see http://healpix.sourceforge.net
*/
/*
* Healpix_cxx is being developed at the Max-Planck-Institut fuer Astrophysik
* and financially supported by the Deutsches Zentrum fuer Luft- und Raumfahrt
* (DLR).
*/
/*! \file alm_healpix_tools.h
* Copyright (C) 2003-2017 Max-Planck-Society
* \author Martin Reinecke
*/
#ifndef HEALPIX_ALM_HEALPIX_TOOLS_H
#define HEALPIX_ALM_HEALPIX_TOOLS_H
#include "xcomplex.h"
#include "arr.h"
template<typename T> class Alm;
template<typename T> class Healpix_Map;
/*! \defgroup alm_healpix_group Conversions between a_lm and HEALPix maps */
/*! \{ */
/*! Converts a Healpix map to a set of a_lms.
\param map the input map, which must have RING ordering
\param alm the output a_lms. l_max and m_max of the conversion are
determined from this object.
\param weight array containing the weights for the individual rings of
the map. It must have at least 2*\a map.Nside() entries.
\param add_alm If this is \a true, then the computed a_lm are added
to the values already residing in \a alm. */
template<typename T> void map2alm (const Healpix_Map<T> &map,
Alm<xcomplex<T> > &alm, const arr<double> &weight,
bool add_alm=false);
/*! Converts a Healpix map to a set of a_lms, using an iterative scheme
which is more accurate than plain map2alm().
\param map the input map, which must have RING ordering.
\param alm the output a_lms. l_max and m_max of the conversion are
determined from this object.
\param num_iter the number of iterations (0 is identical to map2alm()).
\param weight array containing the weights for the individual rings of
the map. It must have at least 2*\a map.Nside() entries. */
template<typename T> void map2alm_iter (const Healpix_Map<T> &map,
Alm<xcomplex<T> > &alm, int num_iter, const arr<double> &weight);
template<typename T> inline void map2alm_iter (const Healpix_Map<T> &map,
Alm<xcomplex<T> > &alm, int num_iter)
{
arr<double> wgt(2*map.Nside(),1.);
map2alm_iter(map,alm,num_iter,wgt);
}
template<typename T> void map2alm_iter2 (const Healpix_Map<T> &map,
Alm<xcomplex<T> > &alm, double err_abs, double err_rel);
template<typename T> void map2alm_spin
(const Healpix_Map<T> &map1, const Healpix_Map<T> &map2,
Alm<xcomplex<T> > &alm1, Alm<xcomplex<T> > &alm2,
int spin, const arr<double> &weight, bool add_alm);
template<typename T> void map2alm_spin_iter2
(const Healpix_Map<T> &map1, const Healpix_Map<T> &map2,
Alm<xcomplex<T> > &alm1, Alm<xcomplex<T> > &alm2,
int spin, double err_abs, double err_rel);
/*! Converts Healpix maps containing the I, Q and U Stokes parameters
to sets of a_lms.
\param mapT the I-Stokes parameter input map
\param mapQ the Q-Stokes parameter input map
\param mapU the U-Stokes parameter input map
\note All maps must have the same nside, and must be in RING scheme.
\param almT the output temperature a_lms
\param almG the output gradient a_lms
\param almC the output curl a_lms
\note all a_lm sets must have the the same lmax and mmax.
\param weight ring weights for the maps.
\param add_alm If this is \a true, then the computed a_lm are added
to the values already residing in \a alm.
\note The weight array must have at least 2*\a mapT.Nside() entries. */
template<typename T> void map2alm_pol
(const Healpix_Map<T> &mapT,
const Healpix_Map<T> &mapQ,
const Healpix_Map<T> &mapU,
Alm<xcomplex<T> > &almT,
Alm<xcomplex<T> > &almG,
Alm<xcomplex<T> > &almC,
const arr<double> &weight,
bool add_alm=false);
/*! Converts Healpix maps containing the I, Q and U Stokes parameters
to sets of a_lms, using an iterative scheme which is more accurate than
plain map2alm_pol().
\param mapT the I-Stokes parameter input map
\param mapQ the Q-Stokes parameter input map
\param mapU the U-Stokes parameter input map
\note All maps must have the same nside, and must be in RING scheme.
\param almT the output temperature a_lms
\param almG the output gradient a_lms
\param almC the output curl a_lms
\note all a_lm sets must have the the same lmax and mmax.
\param num_iter the number of iterations (0 is identical to map2alm_pol()).
\param weight ring weights for the maps.
\note The weight array must have at least 2*\a mapT.Nside() entries. */
template<typename T> void map2alm_pol_iter
(const Healpix_Map<T> &mapT,
const Healpix_Map<T> &mapQ,
const Healpix_Map<T> &mapU,
Alm<xcomplex<T> > &almT,
Alm<xcomplex<T> > &almG,
Alm<xcomplex<T> > &almC,
int num_iter,
const arr<double> &weight);
template<typename T> inline void map2alm_pol_iter
(const Healpix_Map<T> &mapT,
const Healpix_Map<T> &mapQ,
const Healpix_Map<T> &mapU,
Alm<xcomplex<T> > &almT,
Alm<xcomplex<T> > &almG,
Alm<xcomplex<T> > &almC,
int num_iter)
{
arr<double> wgt(2*mapT.Nside(),1.);
map2alm_pol_iter(mapT,mapQ,mapU,almT,almG,almC,num_iter,wgt);
}
template<typename T> void map2alm_pol_iter2
(const Healpix_Map<T> &mapT,
const Healpix_Map<T> &mapQ,
const Healpix_Map<T> &mapU,
Alm<xcomplex<T> > &almT,
Alm<xcomplex<T> > &almG,
Alm<xcomplex<T> > &almC,
double err_abs, double err_rel);
/*! Converts a a set of a_lm to a HEALPix map.
\param alm the input a_lms. l_max and m_max of the conversion are
determined from this object.
\param map the output map, which must have RING ordering. */
template<typename T> void alm2map (const Alm<xcomplex<T> > &alm,
Healpix_Map<T> &map, bool add_map=false);
/*! Adjoint of the alm2map transform.
\param map the input map, which must have RING ordering
\param alm the output a_lms. l_max and m_max of the conversion are
determined from this object. */
template<typename T> void alm2map_adjoint (const Healpix_Map<T> &map,
Alm<xcomplex<T> > &alm, bool add_alm=false);
template<typename T> void alm2map_spin
(const Alm<xcomplex<T> > &alm1, const Alm<xcomplex<T> > &alm2,
Healpix_Map<T> &map1, Healpix_Map<T> &map2, int spin, bool add_map=false);
template<typename T> void alm2map_spin_adjoint
(const Healpix_Map<T> &map1, const Healpix_Map<T> &map2,
Alm<xcomplex<T> > &alm1, Alm<xcomplex<T> > &alm2,
int spin, bool add_alm=false);
/*! Converts a a set of polarised a_lm to a HEALPix map.
\param almT the input temperature a_lms
\param almG the input gradient a_lms
\param almC the input curl a_lms
\param mapT the I-Stokes parameter output map
\param mapQ the Q-Stokes parameter output map
\param mapU the U-Stokes parameter output map */
template<typename T> void alm2map_pol
(const Alm<xcomplex<T> > &almT,
const Alm<xcomplex<T> > &almG,
const Alm<xcomplex<T> > &almC,
Healpix_Map<T> &mapT,
Healpix_Map<T> &mapQ,
Healpix_Map<T> &mapU,
bool add_map=false);
template<typename T> void alm2map_pol_adjoint
(const Healpix_Map<T> &mapT,
const Healpix_Map<T> &mapQ,
const Healpix_Map<T> &mapU,
Alm<xcomplex<T> > &almT,
Alm<xcomplex<T> > &almG,
Alm<xcomplex<T> > &almC,
bool add_alm=false);
/*! Converts a a set of a_lm to a HEALPix map and its first derivatives.
\param alm the input a_lms. l_max and m_max of the conversion are
determined from this object.
\param map the output map, which must have RING ordering.
\param mapdth an output map containing \f$d (\mbox{map})/d\vartheta\f$,
which must have RING ordering.
\param mapdph an output map containing
\f$(\sin\vartheta)^{-1}d(\mbox{map})/d\varphi\f$,
which must have RING ordering. */
template<typename T> void alm2map_der1
(const Alm<xcomplex<T> > &alm,
Healpix_Map<T> &map,
Healpix_Map<T> &mapdth,
Healpix_Map<T> &mapdph);
/*! \} */
#endif
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