Alm< T > Class Template Reference

#include <alm.h>

List of all members.

Public Member Functions

Alm (int lmax_=0, int mmax_=0)

void Set (int lmax_, int mmax_)

void Set (arr< T > &data, int lmax_, int mmax_)

void SetToZero ()

template<typename T2>

void Scale (const T2 &factor)

template<typename T2>

void ScaleL (const arr< T2 > &factor)

template<typename T2>

void Add (const T2 &num)

T & operator() (int l, int m)

const T & operator() (int l, int m) const

T * mstart (int m)

const T * mstart (int m) const

int Lmax () const

int Mmax () const

const arr< T > & Alms () const

void swap (Alm &other)

bool conformable (const Alm &other) const

void Add (const Alm &other)

Static Public Member Functions

static long Num_Alms (int l, int m)

Related Functions

(Note that these are not member functions.)

template<typename T>

void smooth_with_Gauss (Alm< xcomplex< T > > &alm, double fwhm_arcmin)

template<typename T>

void smooth_with_Gauss (Alm< xcomplex< T > > &almT, Alm< xcomplex< T > > &almG, Alm< xcomplex< T > > &almC, double fwhm_arcmin)

template<typename T>

void rotate_alm (Alm< xcomplex< T > > &alm, double psi, double theta, double phi)

template<typename T>

void rotate_alm (Alm< xcomplex< T > > &almT, Alm< xcomplex< T > > &almG, Alm< xcomplex< T > > &almC, double psi, double theta, double phi)

template<typename T>

void rotate_alm (Alm< xcomplex< T > > &alm, const rotmatrix &mat)

template<typename T>

void rotate_alm (Alm< xcomplex< T > > &almT, Alm< xcomplex< T > > &almG, Alm< xcomplex< T > > &almC, const rotmatrix &mat)

Detailed Description

template<typename T>
class Alm< T >

Class for storing spherical harmonic coefficients.

Definition at line 40 of file alm.h.

Constructor & Destructor Documentation

template<typename T>

Alm< T >::Alm	(	int	lmax_ = `0`,
		int	mmax_ = `0`
	)			`[inline]`

Constructs an Alm object with given lmax and mmax.

Definition at line 56 of file alm.h.

Member Function Documentation

template<typename T>

static long Alm< T >::Num_Alms	(	int	l,
		int	m
	)			`[inline, static]`

Returns the number of coefficients in an Alm object with maximum quantum numbers l and m.

Definition at line 49 of file alm.h.

template<typename T>

void Alm< T >::Set	(	int	lmax_,
		int	mmax_
	)			`[inline]`

Deletes the old coefficients and allocates storage according to lmax and mmax.

Definition at line 63 of file alm.h.

template<typename T>

void Alm< T >::Set	(	arr< T > &	data,
		int	lmax_,
		int	mmax_
	)			`[inline]`

Deallocates the old coefficients and uses the content of data for storage. data is deallocated during the call.

Definition at line 73 of file alm.h.

template<typename T>

void Alm< T >::SetToZero ( ) [inline]

Sets all coefficients to zero.

Definition at line 83 of file alm.h.

template<typename T>

template<typename T2>

void Alm< T >::Scale ( const T2 & factor ) [inline]

Multiplies all coefficients by factor.

Definition at line 87 of file alm.h.

template<typename T>

template<typename T2>

void Alm< T >::ScaleL ( const arr< T2 > & factor ) [inline]

a(l,m) *= factor[l] for all l,m.

Definition at line 90 of file alm.h.

template<typename T>

template<typename T2>

void Alm< T >::Add ( const T2 & num ) [inline]

Adds num to a_00.

Definition at line 98 of file alm.h.

template<typename T>

T& Alm< T >::operator()	(	int	l,
		int	m
	)			`[inline]`

Returns a reference to the specified coefficient.

Definition at line 102 of file alm.h.

template<typename T>

const T& Alm< T >::operator()	(	int	l,
		int	m
	)			const `[inline]`

Returns a constant reference to the specified coefficient.

Definition at line 105 of file alm.h.

template<typename T>

T* Alm< T >::mstart ( int m ) [inline]

Returns a pointer for a given m, from which the address of a_lm can be obtained by adding l.

Definition at line 110 of file alm.h.

template<typename T>

const T* Alm< T >::mstart ( int m ) const [inline]

Returns a pointer for a given m, from which the address of a_lm can be obtained by adding l.

Definition at line 114 of file alm.h.

template<typename T>

int Alm< T >::Lmax ( ) const [inline]

Returns the maximum l

Definition at line 118 of file alm.h.

template<typename T>

int Alm< T >::Mmax ( ) const [inline]

Returns the maximum m

Definition at line 120 of file alm.h.

template<typename T>

const arr<T>& Alm< T >::Alms ( ) const [inline]

Returns a constant reference to the a_lm data.

Definition at line 123 of file alm.h.

template<typename T>

void Alm< T >::swap ( Alm< T > & other ) [inline]

Swaps the contents of two A_lm objects.

Definition at line 126 of file alm.h.

template<typename T>

bool Alm< T >::conformable ( const Alm< T > & other ) const [inline]

Returns true, if both objects have the same lmax and mmax, else false.

Definition at line 136 of file alm.h.

template<typename T>

void Alm< T >::Add ( const Alm< T > & other ) [inline]

Adds all coefficients from other to the own coefficients.

Definition at line 140 of file alm.h.

Friends And Related Function Documentation

template<typename T>

void smooth_with_Gauss	(	Alm< xcomplex< T > > &	alm,
		double	fwhm_arcmin
	)			`[related]`

Applies a convolution with a Gaussian beam with an FWHM of fwhm_arcmin arcmin to alm.

Note:: If fwhm_arcmin<0, a deconvolution with -fwhm_arcmin is performed.

Definition at line 238 of file alm_powspec_tools.cc.

template<typename T>

void smooth_with_Gauss	(	Alm< xcomplex< T > > &	almT,
		Alm< xcomplex< T > > &	almG,
		Alm< xcomplex< T > > &	almC,
		double	fwhm_arcmin
	)			`[related]`

Applies a convolution with a Gaussian beam with an FWHM of fwhm_arcmin arcmin to almT, almG and almC.

Note:: If fwhm_arcmin<0, a deconvolution with -fwhm_arcmin is performed.

Definition at line 255 of file alm_powspec_tools.cc.

template<typename T>

void rotate_alm	(	Alm< xcomplex< T > > &	alm,
		double	psi,
		double	theta,
		double	phi
	)			`[related]`

Rotates alm through the Euler angles psi, theta and phi. The Euler angle convention is right handed, rotations are active.

psi is the first rotation about the z-axis (vertical)
then theta about the ORIGINAL (unrotated) y-axis
then phi about the ORIGINAL (unrotated) z-axis (vertical)

Definition at line 421 of file alm_powspec_tools.cc.

template<typename T>

void rotate_alm	(	Alm< xcomplex< T > > &	almT,
		Alm< xcomplex< T > > &	almG,
		Alm< xcomplex< T > > &	almC,
		double	psi,
		double	theta,
		double	phi
	)			`[related]`

Rotates almT, almG and almC through the Euler angles psi, theta and phi. The Euler angle convention is right handed, rotations are active.

psi is the first rotation about the z-axis (vertical)
then theta about the ORIGINAL (unrotated) y-axis
then phi about the ORIGINAL (unrotated) z-axis (vertical)

Definition at line 479 of file alm_powspec_tools.cc.

template<typename T>

void rotate_alm	(	Alm< xcomplex< T > > &	alm,
		const rotmatrix &	mat
	)			`[related]`

Rotates alm through the rotation matrix mat.

Definition at line 555 of file alm_powspec_tools.cc.

template<typename T>

void rotate_alm	(	Alm< xcomplex< T > > &	almT,
		Alm< xcomplex< T > > &	almG,
		Alm< xcomplex< T > > &	almC,
		const rotmatrix &	mat
	)			`[related]`

Rotates almT, almG and almC through the rotation matrix mat.

Definition at line 566 of file alm_powspec_tools.cc.

The documentation for this class was generated from the following files:

Alm< T > Class Template Reference

Public Member Functions

Static Public Member Functions

Related Functions

Detailed Description

template<typename T> class Alm< T >

Constructor & Destructor Documentation

Member Function Documentation

Friends And Related Function Documentation

template<typename T>
class Alm< T >