radiation_matrix Module

Uses

- PARKIND1
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Contents

Variables

IMatrixPatternDense IMatrixPatternShortwave

Interfaces

fast_expm_exchange

Functions

mat_x_vec singlemat_x_vec mat_x_mat singlemat_x_mat mat_x_singlemat identity_minus_mat_x_mat sparse_x_dense repeated_square solve_vec solve_mat

Subroutines

expm fast_expm_exchange_2 fast_expm_exchange_3

Variables

Type	Visibility	Attributes		Name		Initial
integer,	public,	parameter	::	IMatrixPatternDense	=	0
integer,	public,	parameter	::	IMatrixPatternShortwave	=	1

Interfaces

public interface fast_expm_exchange

public subroutine fast_expm_exchange_2(n, iend, a, b, R)

Arguments

Type	Intent	Optional	Attributes		Name
integer,	intent(in)			::	n
integer,	intent(in)			::	iend
real(kind=jprb),	intent(in),		dimension(n)	::	a
real(kind=jprb),	intent(in),		dimension(n)	::	b
real(kind=jprb),	intent(out),		dimension(n,2,2)	::	R

public subroutine fast_expm_exchange_3(n, iend, a, b, c, d, R)

Arguments

Type	Intent	Optional	Attributes		Name
integer,	intent(in)			::	n
integer,	intent(in)			::	iend
real(kind=jprb),	intent(in),		dimension(n)	::	a
real(kind=jprb),	intent(in),		dimension(n)	::	b
real(kind=jprb),	intent(in),		dimension(n)	::	c
real(kind=jprb),	intent(in),		dimension(n)	::	d
real(kind=jprb),	intent(out),		dimension(n,3,3)	::	R

Functions

public function mat_x_vec(n, iend, m, A, b, do_top_left_only_in)

Arguments

Type	Intent	Optional	Attributes		Name
integer,	intent(in)			::	n
integer,	intent(in)			::	iend
integer,	intent(in)			::	m
real(kind=jprb),	intent(in),		dimension(:,:,:)	::	A
real(kind=jprb),	intent(in),		dimension(:,:)	::	b
logical,	intent(in),	optional		::	do_top_left_only_in

Return Value real(kind=jprb), dimension(iend,m)

public function singlemat_x_vec(n, iend, m, A, b)

Arguments

Type	Intent	Optional	Attributes		Name
integer,	intent(in)			::	n
integer,	intent(in)			::	iend
integer,	intent(in)			::	m
real(kind=jprb),	intent(in),		dimension(m,m)	::	A
real(kind=jprb),	intent(in),		dimension(:,:)	::	b

Return Value real(kind=jprb), dimension(iend,m)

public function mat_x_mat(n, iend, m, A, B, i_matrix_pattern)

Arguments

Type	Intent	Optional	Attributes		Name
integer,	intent(in)			::	n
integer,	intent(in)			::	iend
integer,	intent(in)			::	m
real(kind=jprb),	intent(in),		dimension(:,:,:)	::	A
real(kind=jprb),	intent(in),		dimension(:,:,:)	::	B
integer,	intent(in),	optional		::	i_matrix_pattern

Return Value real(kind=jprb), dimension(iend,m,m)

public function singlemat_x_mat(n, iend, m, A, B)

Arguments

Type	Intent	Optional	Attributes		Name
integer,	intent(in)			::	n
integer,	intent(in)			::	iend
integer,	intent(in)			::	m
real(kind=jprb),	intent(in),		dimension(m,m)	::	A
real(kind=jprb),	intent(in),		dimension(:,:,:)	::	B

Return Value real(kind=jprb), dimension(iend,m,m)

public function mat_x_singlemat(n, iend, m, A, B)

Arguments

Type	Intent	Optional	Attributes		Name
integer,	intent(in)			::	n
integer,	intent(in)			::	iend
integer,	intent(in)			::	m
real(kind=jprb),	intent(in),		dimension(:,:,:)	::	A
real(kind=jprb),	intent(in),		dimension(m,m)	::	B

Return Value real(kind=jprb), dimension(iend,m,m)

public function identity_minus_mat_x_mat(n, iend, m, A, B, i_matrix_pattern)

Arguments

Type	Intent	Optional	Attributes		Name
integer,	intent(in)			::	n
integer,	intent(in)			::	iend
integer,	intent(in)			::	m
real(kind=jprb),	intent(in),		dimension(:,:,:)	::	A
real(kind=jprb),	intent(in),		dimension(:,:,:)	::	B
integer,	intent(in),	optional		::	i_matrix_pattern

Return Value real(kind=jprb), dimension(iend,m,m)

public function sparse_x_dense(sparse, dense)

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=jprb),	intent(in)			::	sparse(:,:)
real(kind=jprb),	intent(in)			::	dense(:,:)

Return Value real(kind=jprb), (size(sparse,1),size(dense,2))

public function repeated_square(m, A, nrepeat, i_matrix_pattern)

Arguments

Type	Intent	Optional	Attributes		Name
integer,	intent(in)			::	m
real(kind=jprb),	intent(inout)			::	A(m,m)
integer,	intent(in)			::	nrepeat
integer,	intent(in),	optional		::	i_matrix_pattern

Return Value real(kind=jprb), (m,m)

public function solve_vec(n, iend, m, A, b)

Arguments

Type	Intent	Optional	Attributes		Name
integer,	intent(in)			::	n
integer,	intent(in)			::	iend
integer,	intent(in)			::	m
real(kind=jprb),	intent(in)			::	A(:,:,:)
real(kind=jprb),	intent(in)			::	b(:,:)

Return Value real(kind=jprb), (iend,m)

public function solve_mat(n, iend, m, A, B)

Arguments

Type	Intent	Optional	Attributes		Name
integer,	intent(in)			::	n
integer,	intent(in)			::	iend
integer,	intent(in)			::	m
real(kind=jprb),	intent(in)			::	A(:,:,:)
real(kind=jprb),	intent(in)			::	B(:,:,:)

Return Value real(kind=jprb), (iend,m,m)

Subroutines

public subroutine expm(n, iend, m, A, i_matrix_pattern)

Arguments

Type	Intent	Optional	Attributes		Name
integer,	intent(in)			::	n
integer,	intent(in)			::	iend
integer,	intent(in)			::	m
real(kind=jprb),	intent(inout)			::	A(n,m,m)
integer,	intent(in)			::	i_matrix_pattern

public subroutine fast_expm_exchange_2(n, iend, a, b, R)

Arguments

Type	Intent	Optional	Attributes		Name
integer,	intent(in)			::	n
integer,	intent(in)			::	iend
real(kind=jprb),	intent(in),		dimension(n)	::	a
real(kind=jprb),	intent(in),		dimension(n)	::	b
real(kind=jprb),	intent(out),		dimension(n,2,2)	::	R

public subroutine fast_expm_exchange_3(n, iend, a, b, c, d, R)

Arguments

Type	Intent	Optional	Attributes		Name
integer,	intent(in)			::	n
integer,	intent(in)			::	iend
real(kind=jprb),	intent(in),		dimension(n)	::	a
real(kind=jprb),	intent(in),		dimension(n)	::	b
real(kind=jprb),	intent(in),		dimension(n)	::	c
real(kind=jprb),	intent(in),		dimension(n)	::	d
real(kind=jprb),	intent(out),		dimension(n,3,3)	::	R