Functions
template<typename T >
void	map2alm (const Healpix_Map< T > &map, Alm< xcomplex< T > > &alm, const arr< double > &weight, bool add_alm=false)

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 >
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)

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 >
void	alm2map (const Alm< xcomplex< T > > &alm, Healpix_Map< T > &map, bool add_map=false)

template<typename T >
void	alm2map_adjoint (const Healpix_Map< T > &map, Alm< xcomplex< T > > &alm, bool add_alm=false)

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_der1 (const Alm< xcomplex< T > > &alm, Healpix_Map< T > &map, Healpix_Map< T > &mapdth, Healpix_Map< T > &mapdph)

Detailed Description

Function Documentation

◆ map2alm()

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.

Parameters

map	the input map, which must have RING ordering
alm	the output a_lms. l_max and m_max of the conversion are determined from this object.
weight	array containing the weights for the individual rings of the map. It must have at least 2*map.Nside() entries.
add_alm	If this is true, then the computed a_lm are added to the values already residing in alm.

Definition at line 51 of file alm_healpix_tools.cc.

◆ map2alm_iter()

template<typename T >

void map2alm_iter	(	const Healpix_Map< T > &	map,
		Alm< xcomplex< T > > &	alm,
		int	num_iter,
		const arr< double > &	weight
	)

Converts a Healpix map to a set of a_lms, using an iterative scheme which is more accurate than plain map2alm().

Parameters

map	the input map, which must have RING ordering.
alm	the output a_lms. l_max and m_max of the conversion are determined from this object.
num_iter	the number of iterations (0 is identical to map2alm()).
weight	array containing the weights for the individual rings of the map. It must have at least 2*map.Nside() entries.

Definition at line 92 of file alm_healpix_tools.cc.

◆ map2alm_pol()

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.

Parameters

mapT	the I-Stokes parameter input map
mapQ	the Q-Stokes parameter input map
mapU	the U-Stokes parameter input map

Note: All maps must have the same nside, and must be in RING scheme.

Parameters

almT	the output temperature a_lms
almG	the output gradient a_lms
almC	the output curl a_lms

Note: all a_lm sets must have the the same lmax and mmax.

Parameters

weight	ring weights for the maps.
add_alm	If this is true, then the computed a_lm are added to the values already residing in alm.

Note: The weight array must have at least 2*mapT.Nside() entries.

Definition at line 244 of file alm_healpix_tools.cc.

◆ map2alm_pol_iter()

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
	)

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().

Parameters

mapT	the I-Stokes parameter input map
mapQ	the Q-Stokes parameter input map
mapU	the U-Stokes parameter input map

Note: All maps must have the same nside, and must be in RING scheme.

Parameters

almT	the output temperature a_lms
almG	the output gradient a_lms
almC	the output curl a_lms

Note: all a_lm sets must have the the same lmax and mmax.

Parameters

num_iter	the number of iterations (0 is identical to map2alm_pol()).
weight	ring weights for the maps.

Note: The weight array must have at least 2*mapT.Nside() entries.

Definition at line 335 of file alm_healpix_tools.cc.

◆ alm2map()

template<typename T >

void alm2map	(	const Alm< xcomplex< T > > &	alm,
		Healpix_Map< T > &	map,
		bool	add_map = `false`
	)

Converts a a set of a_lm to a HEALPix map.

Parameters

alm	the input a_lms. l_max and m_max of the conversion are determined from this object.
map	the output map, which must have RING ordering.

Definition at line 429 of file alm_healpix_tools.cc.

◆ alm2map_adjoint()

template<typename T >

void alm2map_adjoint	(	const Healpix_Map< T > &	map,
		Alm< xcomplex< T > > &	alm,
		bool	add_alm = `false`
	)

Adjoint of the alm2map transform.

Parameters

map	the input map, which must have RING ordering
alm	the output a_lms. l_max and m_max of the conversion are determined from this object.

Definition at line 73 of file alm_healpix_tools.cc.

◆ alm2map_pol()

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`
	)

Converts a a set of polarised a_lm to a HEALPix map.

Parameters

almT	the input temperature a_lms
almG	the input gradient a_lms
almC	the input curl a_lms
mapT	the I-Stokes parameter output map
mapQ	the Q-Stokes parameter output map
mapU	the U-Stokes parameter output map

Definition at line 472 of file alm_healpix_tools.cc.

◆ alm2map_der1()

template<typename T >

void alm2map_der1	(	const Alm< xcomplex< T > > &	alm,
		Healpix_Map< T > &	map,
		Healpix_Map< T > &	mapdth,
		Healpix_Map< T > &	mapdph
	)

Converts a a set of a_lm to a HEALPix map and its first derivatives.

Parameters

alm	the input a_lms. l_max and m_max of the conversion are determined from this object.
map	the output map, which must have RING ordering.
mapdth	an output map containing $d (\mbox{map})/d\vartheta$ , which must have RING ordering.
mapdph	an output map containing $(\sin\vartheta)^{-1}d(\mbox{map})/d\varphi$ , which must have RING ordering.

Definition at line 512 of file alm_healpix_tools.cc.

Functions

Detailed Description

Function Documentation

◆ map2alm()

◆ map2alm_iter()

◆ map2alm_pol()

◆ map2alm_pol_iter()

◆ alm2map()

◆ alm2map_adjoint()

◆ alm2map_pol()

◆ alm2map_der1()