Lookup table for associated Legendre function for case where m=1. Also contains functionality to compute associated Legendre functions if a LUT is not used. More...

Data Types
type	bianchi2_lut
	Look-up-table that contains precomputed associated Legendre functions. More...

Public Member Functions
type(bianchi2_lut) function, public	bianchi2_lut_init (lmax, Ntheta)
	Initalizes a lut using lmax and Ntheta. More...

subroutine, public	bianchi2_lut_write (lut, filename_LUT)
	Writes a lut in a binary file. More...

type(bianchi2_lut) function, public	bianchi2_lut_read (lmax, Ntheta, filename_LUT)
	Reads a lut from a file. More...

real(s2_dp) function, public	bianchi2_lut_access (lut, l, itheta)
	Gives the value in the lut corresponding to a given (l,itheta). More...

subroutine, public	bianchi2_lut_free (lut)
	Deallocate the Look_Up_Table. More...

real(s2_dp) function, public	bianchi2_lut_plgndr (l, m, x)
	Computes the associated Legendre function for l and m. Adapted from numerical recipes. More...

Detailed Description

Lookup table for associated Legendre function for case where m=1. Also contains functionality to compute associated Legendre functions if a LUT is not used.

Note: Tailored to Bianchi2 code since input for associated Legendre function is theta not x.

Authors: Jason McEwen; Thibaut Josset

Definition at line 15 of file bianchi2_lut_mod.f90.

Member Function/Subroutine Documentation

real(s2_dp) function, public bianchi2_lut_mod::bianchi2_lut_access	(	type(bianchi2_lut), intent(in)	lut,
		integer, intent(in)	l,
		integer, intent(in)	itheta
	)

Gives the value in the lut corresponding to a given (l,itheta).

Parameters

[in]	lut	Initialized bianchi2_lut object.
[in]	l
[in]	itheta

Return values

plm1	Value of the Lengendre functions contained in the lut.

Authors: Thibaut Josset

Definition at line 196 of file bianchi2_lut_mod.f90.

Referenced by bianchi2_sky_mod::bianchi2_sky_comp_ix().

subroutine, public bianchi2_lut_mod::bianchi2_lut_free ( type(bianchi2_lut), intent(inout) lut )

Deallocate the Look_Up_Table.

Parameters

[in] lut Bianchi2_lut object to make free.

Authors: Thibaut Josset

Definition at line 216 of file bianchi2_lut_mod.f90.

Referenced by bianchi2_sim().

type(bianchi2_lut) function, public bianchi2_lut_mod::bianchi2_lut_init	(	integer, intent(in)	lmax,
		integer, intent(in)	Ntheta
	)

Initalizes a lut using lmax and Ntheta.

Parameters

[in]	lmax	Maximal harmonic to consider.
[in]	Ntheta	Number of points for theta.

Return values

lut	Initialized bianchi2_lut object.

Authors: Thibaut Josset

Definition at line 71 of file bianchi2_lut_mod.f90.

References bianchi2_lut_plgndr().

Referenced by bianchi2_lut_gen().

real(s2_dp) function, public bianchi2_lut_mod::bianchi2_lut_plgndr	(	integer	l,
		integer	m,
		real(s2_dp)	x
	)

Computes the associated Legendre function for l and m. Adapted from numerical recipes.

Note: Numerical recipies comment: Computes the associated Legendre polynomial P_m^l(x).

Parameters

[in]	l	Legendre function l parameter.
[in]	m	Legendre function m parameter.
[in]	x	Point to evaluate specified Legendre funtion at.

Authors: Jason McEwen

Definition at line 243 of file bianchi2_lut_mod.f90.

Referenced by bianchi2_lut_init(), and bianchi2_sky_mod::bianchi2_sky_comp_ix().

type(bianchi2_lut) function, public bianchi2_lut_mod::bianchi2_lut_read	(	integer, intent(in)	lmax,
		integer, intent(in)	Ntheta,
		character(len=s2_string_len)	filename_LUT
	)

Reads a lut from a file.

Parameters

[in]	lmax	Maximum spherical harmonic l to consider.
[in]	Ntheta	Number of terms used to compute IA and IB.
[in]	filename_LUT	Name of binary file containing the LUT.

Return values