nrutil – KORC

@brief Module containing interfaces used in the modules of the Numerical Recipes book software. @details For details we refer the user to "FORTRAN Numerical Recipes: Numerical recipes in FORTRAN 90".

Uses

- nrtype
Help
Graph Key

Nodes of different colours represent the following:

Solid arrows point from a submodule to the (sub)module which it is descended from. Dashed arrows point from a module or program unit to modules which it uses.

Used by

Help
Graph Key

Nodes of different colours represent the following:

Solid arrows point from a submodule to the (sub)module which it is descended from. Dashed arrows point from a module or program unit to modules which it uses.

Variables

NPAR_ARTH NPAR2_ARTH NPAR_GEOP NPAR2_GEOP NPAR_CUMSUM NPAR_CUMPROD NPAR_POLY NPAR_POLYTERM

Functions

reallocate_rv reallocate_iv reallocate_hv reallocate_rm reallocate_im ifirstloc imaxloc_r imaxloc_i iminloc assert_eq2 assert_eq3 assert_eq4 assert_eqn arth_r arth_d arth_i geop_r geop_d geop_i geop_c geop_dv cumsum_r cumsum_i cumprod poly_rr poly_dd poly_rc poly_cc poly_rrv poly_ddv poly_msk_rrv poly_msk_ddv poly_term_rr poly_term_cc zroots_unity outerprod_r outerprod_d outerdiv outersum outerdiff_r outerdiff_d outerdiff_i outerand get_diag_rv get_diag_dv upper_triangle lower_triangle vabs

Variables

Type	Visibility	Attributes		Name		Initial
integer(kind=I4B),	public,	parameter	::	NPAR_ARTH	=	16
integer(kind=I4B),	public,	parameter	::	NPAR2_ARTH	=	8
integer(kind=I4B),	public,	parameter	::	NPAR_GEOP	=	4
integer(kind=I4B),	public,	parameter	::	NPAR2_GEOP	=	2
integer(kind=I4B),	public,	parameter	::	NPAR_CUMSUM	=	16
integer(kind=I4B),	public,	parameter	::	NPAR_CUMPROD	=	8
integer(kind=I4B),	public,	parameter	::	NPAR_POLY	=	8
integer(kind=I4B),	public,	parameter	::	NPAR_POLYTERM	=	8

Interfaces

public interface array_copy

public subroutine array_copy_r(src, dest, n_copied, n_not_copied)

Arguments

Type	Intent	Attributes		Name
real(kind=SP),	intent(in),	DIMENSION(:)	::	src
real(kind=SP),	intent(out),	DIMENSION(:)	::	dest
integer(kind=I4B),	intent(out)		::	n_copied
integer(kind=I4B),	intent(out)		::	n_not_copied

public subroutine array_copy_d(src, dest, n_copied, n_not_copied)

Arguments

Type	Intent	Attributes		Name
real(kind=DP),	intent(in),	DIMENSION(:)	::	src
real(kind=DP),	intent(out),	DIMENSION(:)	::	dest
integer(kind=I4B),	intent(out)		::	n_copied
integer(kind=I4B),	intent(out)		::	n_not_copied

public subroutine array_copy_i(src, dest, n_copied, n_not_copied)

Arguments

Type	Intent	Attributes		Name
integer(kind=I4B),	intent(in),	DIMENSION(:)	::	src
integer(kind=I4B),	intent(out),	DIMENSION(:)	::	dest
integer(kind=I4B),	intent(out)		::	n_copied
integer(kind=I4B),	intent(out)		::	n_not_copied

public interface swap

public subroutine swap_i(a, b)

Arguments

Type Intent Optional Attributes Name

integer(kind=I4B), intent(inout) :: a

integer(kind=I4B), intent(inout) :: b
public subroutine swap_r(a, b)

Arguments

Type Intent Optional Attributes Name

real(kind=SP), intent(inout) :: a

real(kind=SP), intent(inout) :: b

public subroutine swap_rv(a, b)

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=SP),	intent(inout),		DIMENSION(:)	::	a
real(kind=SP),	intent(inout),		DIMENSION(:)	::	b

public subroutine swap_c(a, b)

Arguments

Type Intent Optional Attributes Name

complex(kind=SPC), intent(inout) :: a

complex(kind=SPC), intent(inout) :: b

public subroutine swap_cv(a, b)

Arguments

Type	Intent	Optional	Attributes		Name
complex(kind=SPC),	intent(inout),		DIMENSION(:)	::	a
complex(kind=SPC),	intent(inout),		DIMENSION(:)	::	b

public subroutine swap_cm(a, b)

Arguments

Type	Intent	Optional	Attributes		Name
complex(kind=SPC),	intent(inout),		DIMENSION(:,:)	::	a
complex(kind=SPC),	intent(inout),		DIMENSION(:,:)	::	b

public subroutine swap_z(a, b)

Arguments

Type Intent Optional Attributes Name

complex(kind=DPC), intent(inout) :: a

complex(kind=DPC), intent(inout) :: b

public subroutine swap_zv(a, b)

Arguments

Type	Intent	Optional	Attributes		Name
complex(kind=DPC),	intent(inout),		DIMENSION(:)	::	a
complex(kind=DPC),	intent(inout),		DIMENSION(:)	::	b

public subroutine swap_zm(a, b)

Arguments

Type	Intent	Optional	Attributes		Name
complex(kind=DPC),	intent(inout),		DIMENSION(:,:)	::	a
complex(kind=DPC),	intent(inout),		DIMENSION(:,:)	::	b

public subroutine masked_swap_rs(a, b, mask)

Arguments

Type	Intent		Name
real(kind=SP),	intent(inout)	::	a
real(kind=SP),	intent(inout)	::	b
logical(kind=LGT),	intent(in)	::	mask

public subroutine masked_swap_rv(a, b, mask)

Arguments

Type	Intent	Attributes		Name
real(kind=SP),	intent(inout),	DIMENSION(:)	::	a
real(kind=SP),	intent(inout),	DIMENSION(:)	::	b
logical(kind=LGT),	intent(in),	DIMENSION(:)	::	mask

public subroutine masked_swap_rm(a, b, mask)

Arguments

Type	Intent	Attributes		Name
real(kind=SP),	intent(inout),	DIMENSION(:,:)	::	a
real(kind=SP),	intent(inout),	DIMENSION(:,:)	::	b
logical(kind=LGT),	intent(in),	DIMENSION(:,:)	::	mask

public interface reallocate

public function reallocate_rv(p, n)

Arguments

Type Intent Optional Attributes Name

real(kind=SP), DIMENSION(:), POINTER :: p

integer(kind=I4B), intent(in) :: n

Return Value real(kind=SP), DIMENSION(:), POINTER

public function reallocate_rm(p, n, m)

Arguments

Type	Intent	Attributes		Name
real(kind=SP),		DIMENSION(:,:), POINTER	::	p
integer(kind=I4B),	intent(in)		::	n
integer(kind=I4B),	intent(in)		::	m

Return Value real(kind=SP), DIMENSION(:,:), POINTER

public function reallocate_iv(p, n)

Arguments

Type Intent Optional Attributes Name

integer(kind=I4B), DIMENSION(:), POINTER :: p

integer(kind=I4B), intent(in) :: n

Return Value integer(kind=I4B), DIMENSION(:), POINTER

public function reallocate_im(p, n, m)

Arguments

Type	Intent	Attributes		Name
integer(kind=I4B),		DIMENSION(:,:), POINTER	::	p
integer(kind=I4B),	intent(in)		::	n
integer(kind=I4B),	intent(in)		::	m

Return Value integer(kind=I4B), DIMENSION(:,:), POINTER

public function reallocate_hv(p, n)

Arguments

Type Intent Optional Attributes Name

character(len=1), DIMENSION(:), POINTER :: p

integer(kind=I4B), intent(in) :: n

Return Value character(len=1), DIMENSION(:), POINTER

public interface imaxloc

public function imaxloc_r(arr)

Arguments

Type Intent Optional Attributes Name

real(kind=SP), intent(in), DIMENSION(:) :: arr

Return Value integer(kind=I4B)
public function imaxloc_i(iarr)

Arguments

Type Intent Optional Attributes Name

integer(kind=I4B), intent(in), DIMENSION(:) :: iarr

Return Value integer(kind=I4B)

public interface assert

public subroutine assert1(n1, string)

Arguments

Type Intent Optional Attributes Name

logical, intent(in) :: n1

character(len=*), intent(in) :: string

public subroutine assert2(n1, n2, string)

Arguments

Type	Intent		Name
logical,	intent(in)	::	n1
logical,	intent(in)	::	n2
character(len=*),	intent(in)	::	string

public subroutine assert3(n1, n2, n3, string)

Arguments

Type	Intent		Name
logical,	intent(in)	::	n1
logical,	intent(in)	::	n2
logical,	intent(in)	::	n3
character(len=*),	intent(in)	::	string

public subroutine assert4(n1, n2, n3, n4, string)

Arguments

Type	Intent		Name
logical,	intent(in)	::	n1
logical,	intent(in)	::	n2
logical,	intent(in)	::	n3
logical,	intent(in)	::	n4
character(len=*),	intent(in)	::	string

public subroutine assert_v(n, string)

Arguments

Type Intent Optional Attributes Name

logical, intent(in), DIMENSION(:) :: n

character(len=*), intent(in) :: string

public interface assert_eq

public function assert_eq2(n1, n2, string)

Arguments

Type	Intent		Name
integer,	intent(in)	::	n1
integer,	intent(in)	::	n2
character(len=*),	intent(in)	::	string

Return Value integer

public function assert_eq3(n1, n2, n3, string)

Arguments

Type	Intent		Name
integer,	intent(in)	::	n1
integer,	intent(in)	::	n2
integer,	intent(in)	::	n3
character(len=*),	intent(in)	::	string

Return Value integer

public function assert_eq4(n1, n2, n3, n4, string)

Arguments

Type	Intent		Name
integer,	intent(in)	::	n1
integer,	intent(in)	::	n2
integer,	intent(in)	::	n3
integer,	intent(in)	::	n4
character(len=*),	intent(in)	::	string

Return Value integer

public function assert_eqn(nn, string)

Arguments

Type Intent Optional Attributes Name

integer, intent(in), DIMENSION(:) :: nn

character(len=*), intent(in) :: string

Return Value integer

public interface arth

public function arth_r(first, increment, n)

Arguments

Type	Intent		Name
real(kind=SP),	intent(in)	::	first
real(kind=SP),	intent(in)	::	increment
integer(kind=I4B),	intent(in)	::	n

Return Value real(kind=SP), DIMENSION(n)

public function arth_d(first, increment, n)

Arguments

Type	Intent		Name
real(kind=DP),	intent(in)	::	first
real(kind=DP),	intent(in)	::	increment
integer(kind=I4B),	intent(in)	::	n

Return Value real(kind=DP), DIMENSION(n)

public function arth_i(first, increment, n)

Arguments

Type	Intent		Name
integer(kind=I4B),	intent(in)	::	first
integer(kind=I4B),	intent(in)	::	increment
integer(kind=I4B),	intent(in)	::	n

Return Value integer(kind=I4B), DIMENSION(n)

public interface geop

public function geop_r(first, factor, n)

Arguments

Type	Intent		Name
real(kind=SP),	intent(in)	::	first
real(kind=SP),	intent(in)	::	factor
integer(kind=I4B),	intent(in)	::	n

Return Value real(kind=SP), DIMENSION(n)

public function geop_d(first, factor, n)

Arguments

Type	Intent		Name
real(kind=DP),	intent(in)	::	first
real(kind=DP),	intent(in)	::	factor
integer(kind=I4B),	intent(in)	::	n

Return Value real(kind=DP), DIMENSION(n)

public function geop_i(first, factor, n)

Arguments

Type	Intent		Name
integer(kind=I4B),	intent(in)	::	first
integer(kind=I4B),	intent(in)	::	factor
integer(kind=I4B),	intent(in)	::	n

Return Value integer(kind=I4B), DIMENSION(n)

public function geop_c(first, factor, n)

Arguments

Type	Intent		Name
complex(kind=SP),	intent(in)	::	first
complex(kind=SP),	intent(in)	::	factor
integer(kind=I4B),	intent(in)	::	n

Return Value complex(kind=SP), DIMENSION(n)

public function geop_dv(first, factor, n)

Arguments

Type	Intent	Attributes		Name
real(kind=DP),	intent(in),	DIMENSION(:)	::	first
real(kind=DP),	intent(in),	DIMENSION(:)	::	factor
integer(kind=I4B),	intent(in)		::	n

Return Value real(kind=DP), DIMENSION(size(first),n)

public interface cumsum

public recursive function cumsum_r(arr, seed) result(ans)

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=SP),	intent(in),		DIMENSION(:)	::	arr
real(kind=SP),	intent(in),	optional		::	seed

Return Value real(kind=SP), DIMENSION(size(arr))

public recursive function cumsum_i(arr, seed) result(ans)

Arguments

Type	Intent	Optional	Attributes		Name
integer(kind=I4B),	intent(in),		DIMENSION(:)	::	arr
integer(kind=I4B),	intent(in),	optional		::	seed

Return Value integer(kind=I4B), DIMENSION(size(arr))

public interface poly

public function poly_rr(x, coeffs)

Arguments

Type Intent Optional Attributes Name

real(kind=SP), intent(in) :: x

real(kind=SP), intent(in), DIMENSION(:) :: coeffs

Return Value real(kind=SP)

public function poly_rrv(x, coeffs)

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=SP),	intent(in),		DIMENSION(:)	::	x
real(kind=SP),	intent(in),		DIMENSION(:)	::	coeffs

Return Value real(kind=SP), DIMENSION(size(x))

public function poly_dd(x, coeffs)

Arguments

Type Intent Optional Attributes Name

real(kind=DP), intent(in) :: x

real(kind=DP), intent(in), DIMENSION(:) :: coeffs

Return Value real(kind=DP)

public function poly_ddv(x, coeffs)

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=DP),	intent(in),		DIMENSION(:)	::	x
real(kind=DP),	intent(in),		DIMENSION(:)	::	coeffs

Return Value real(kind=DP), DIMENSION(size(x))

public function poly_rc(x, coeffs)

Arguments

Type Intent Optional Attributes Name

complex(kind=SPC), intent(in) :: x

real(kind=SP), intent(in), DIMENSION(:) :: coeffs

Return Value complex(kind=SPC)
public function poly_cc(x, coeffs)

Arguments

Type Intent Optional Attributes Name

complex(kind=SPC), intent(in) :: x

complex(kind=SPC), intent(in), DIMENSION(:) :: coeffs

Return Value complex(kind=SPC)

public function poly_msk_rrv(x, coeffs, mask)

Arguments

Type	Intent	Attributes		Name
real(kind=SP),	intent(in),	DIMENSION(:)	::	x
real(kind=SP),	intent(in),	DIMENSION(:)	::	coeffs
logical(kind=LGT),	intent(in),	DIMENSION(:)	::	mask

Return Value real(kind=SP), DIMENSION(size(x))

public function poly_msk_ddv(x, coeffs, mask)

Arguments

Type	Intent	Attributes		Name
real(kind=DP),	intent(in),	DIMENSION(:)	::	x
real(kind=DP),	intent(in),	DIMENSION(:)	::	coeffs
logical(kind=LGT),	intent(in),	DIMENSION(:)	::	mask

Return Value real(kind=DP), DIMENSION(size(x))

public interface poly_term

public recursive function poly_term_rr(a, b) result(u)

Arguments

Type Intent Optional Attributes Name

real(kind=SP), intent(in), DIMENSION(:) :: a

real(kind=SP), intent(in) :: b

Return Value real(kind=SP), DIMENSION(size(a))
public recursive function poly_term_cc(a, b) result(u)

Arguments

Type Intent Optional Attributes Name

complex(kind=SPC), intent(in), DIMENSION(:) :: a

complex(kind=SPC), intent(in) :: b

Return Value complex(kind=SPC), DIMENSION(size(a))

public interface outerprod

public function outerprod_r(a, b)

Arguments

Type Intent Optional Attributes Name

real(kind=SP), intent(in), DIMENSION(:) :: a

real(kind=SP), intent(in), DIMENSION(:) :: b

Return Value real(kind=SP), DIMENSION(size(a),size(b))
public function outerprod_d(a, b)

Arguments

Type Intent Optional Attributes Name

real(kind=DP), intent(in), DIMENSION(:) :: a

real(kind=DP), intent(in), DIMENSION(:) :: b

Return Value real(kind=DP), DIMENSION(size(a),size(b))

public interface outerdiff

public function outerdiff_r(a, b)

Arguments

Type Intent Optional Attributes Name

real(kind=SP), intent(in), DIMENSION(:) :: a

real(kind=SP), intent(in), DIMENSION(:) :: b

Return Value real(kind=SP), DIMENSION(size(a),size(b))
public function outerdiff_d(a, b)

Arguments

Type Intent Optional Attributes Name

real(kind=DP), intent(in), DIMENSION(:) :: a

real(kind=DP), intent(in), DIMENSION(:) :: b

Return Value real(kind=DP), DIMENSION(size(a),size(b))

public function outerdiff_i(a, b)

Arguments

Type	Intent	Optional	Attributes		Name
integer(kind=I4B),	intent(in),		DIMENSION(:)	::	a
integer(kind=I4B),	intent(in),		DIMENSION(:)	::	b

Return Value integer(kind=I4B), DIMENSION(size(a),size(b))

public interface scatter_add

public subroutine scatter_add_r(dest, source, dest_index)

Arguments

Type	Intent	Attributes		Name
real(kind=SP),	intent(out),	DIMENSION(:)	::	dest
real(kind=SP),	intent(in),	DIMENSION(:)	::	source
integer(kind=I4B),	intent(in),	DIMENSION(:)	::	dest_index

public subroutine scatter_add_d(dest, source, dest_index)

Arguments

Type	Intent	Attributes		Name
real(kind=DP),	intent(out),	DIMENSION(:)	::	dest
real(kind=DP),	intent(in),	DIMENSION(:)	::	source
integer(kind=I4B),	intent(in),	DIMENSION(:)	::	dest_index

public interface scatter_max

public subroutine scatter_max_r(dest, source, dest_index)

Arguments

Type	Intent	Attributes		Name
real(kind=SP),	intent(out),	DIMENSION(:)	::	dest
real(kind=SP),	intent(in),	DIMENSION(:)	::	source
integer(kind=I4B),	intent(in),	DIMENSION(:)	::	dest_index

public subroutine scatter_max_d(dest, source, dest_index)

Arguments

Type	Intent	Attributes		Name
real(kind=DP),	intent(out),	DIMENSION(:)	::	dest
real(kind=DP),	intent(in),	DIMENSION(:)	::	source
integer(kind=I4B),	intent(in),	DIMENSION(:)	::	dest_index

public interface diagadd

public subroutine diagadd_rv(mat, diag)

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=SP),	intent(inout),		DIMENSION(:,:)	::	mat
real(kind=SP),	intent(in),		DIMENSION(:)	::	diag

public subroutine diagadd_r(mat, diag)

Arguments

Type Intent Optional Attributes Name

real(kind=SP), intent(inout), DIMENSION(:,:) :: mat

real(kind=SP), intent(in) :: diag

public interface diagmult

public subroutine diagmult_rv(mat, diag)

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=SP),	intent(inout),		DIMENSION(:,:)	::	mat
real(kind=SP),	intent(in),		DIMENSION(:)	::	diag

public subroutine diagmult_r(mat, diag)

Arguments

Type Intent Optional Attributes Name

real(kind=SP), intent(inout), DIMENSION(:,:) :: mat

real(kind=SP), intent(in) :: diag

public interface get_diag

public function get_diag_rv(mat)

Arguments

Type Intent Optional Attributes Name

real(kind=SP), intent(in), DIMENSION(:,:) :: mat

Return Value real(kind=SP), DIMENSION(size(mat,1))
public function get_diag_dv(mat)

Arguments

Type Intent Optional Attributes Name

real(kind=DP), intent(in), DIMENSION(:,:) :: mat

Return Value real(kind=DP), DIMENSION(size(mat,1))

public interface put_diag

public subroutine put_diag_rv(diagv, mat)

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=SP),	intent(in),		DIMENSION(:)	::	diagv
real(kind=SP),	intent(inout),		DIMENSION(:,:)	::	mat

public subroutine put_diag_r(scal, mat)

Arguments

Type Intent Optional Attributes Name

real(kind=SP), intent(in) :: scal

real(kind=SP), intent(inout), DIMENSION(:,:) :: mat

Functions

public function reallocate_rv(p, n)

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=SP),			DIMENSION(:), POINTER	::	p
integer(kind=I4B),	intent(in)			::	n

Return Value real(kind=SP), DIMENSION(:), POINTER

public function reallocate_iv(p, n)

Arguments

Type	Intent	Optional	Attributes		Name
integer(kind=I4B),			DIMENSION(:), POINTER	::	p
integer(kind=I4B),	intent(in)			::	n

Return Value integer(kind=I4B), DIMENSION(:), POINTER

public function reallocate_hv(p, n)

Arguments

Type	Intent	Optional	Attributes		Name
character(len=1),			DIMENSION(:), POINTER	::	p
integer(kind=I4B),	intent(in)			::	n

Return Value character(len=1), DIMENSION(:), POINTER

public function reallocate_rm(p, n, m)

Arguments

Type	Intent	Attributes		Name
real(kind=SP),		DIMENSION(:,:), POINTER	::	p
integer(kind=I4B),	intent(in)		::	n
integer(kind=I4B),	intent(in)		::	m

Return Value real(kind=SP), DIMENSION(:,:), POINTER

public function reallocate_im(p, n, m)

Arguments

Type	Intent	Attributes		Name
integer(kind=I4B),		DIMENSION(:,:), POINTER	::	p
integer(kind=I4B),	intent(in)		::	n
integer(kind=I4B),	intent(in)		::	m

Return Value integer(kind=I4B), DIMENSION(:,:), POINTER

public function ifirstloc(mask)

Arguments

Type	Intent	Optional	Attributes		Name
logical(kind=LGT),	intent(in),		DIMENSION(:)	::	mask

Return Value integer(kind=I4B)

public function imaxloc_r(arr)

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=SP),	intent(in),		DIMENSION(:)	::	arr

Return Value integer(kind=I4B)

public function imaxloc_i(iarr)

Arguments

Type	Intent	Optional	Attributes		Name
integer(kind=I4B),	intent(in),		DIMENSION(:)	::	iarr

Return Value integer(kind=I4B)

public function iminloc(arr)

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=SP),	intent(in),		DIMENSION(:)	::	arr

Return Value integer(kind=I4B)

public function assert_eq2(n1, n2, string)

Arguments

Type	Intent		Name
integer,	intent(in)	::	n1
integer,	intent(in)	::	n2
character(len=*),	intent(in)	::	string

Return Value integer

public function assert_eq3(n1, n2, n3, string)

Arguments

Type	Intent		Name
integer,	intent(in)	::	n1
integer,	intent(in)	::	n2
integer,	intent(in)	::	n3
character(len=*),	intent(in)	::	string

Return Value integer

public function assert_eq4(n1, n2, n3, n4, string)

Arguments

Type	Intent		Name
integer,	intent(in)	::	n1
integer,	intent(in)	::	n2
integer,	intent(in)	::	n3
integer,	intent(in)	::	n4
character(len=*),	intent(in)	::	string

Return Value integer

public function assert_eqn(nn, string)

Arguments

Type	Intent	Optional	Attributes		Name
integer,	intent(in),		DIMENSION(:)	::	nn
character(len=*),	intent(in)			::	string

Return Value integer

public function arth_r(first, increment, n)

Arguments

Type	Intent		Name
real(kind=SP),	intent(in)	::	first
real(kind=SP),	intent(in)	::	increment
integer(kind=I4B),	intent(in)	::	n

Return Value real(kind=SP), DIMENSION(n)

public function arth_d(first, increment, n)

Arguments

Type	Intent		Name
real(kind=DP),	intent(in)	::	first
real(kind=DP),	intent(in)	::	increment
integer(kind=I4B),	intent(in)	::	n

Return Value real(kind=DP), DIMENSION(n)

public function arth_i(first, increment, n)

Arguments

Type	Intent		Name
integer(kind=I4B),	intent(in)	::	first
integer(kind=I4B),	intent(in)	::	increment
integer(kind=I4B),	intent(in)	::	n

Return Value integer(kind=I4B), DIMENSION(n)

public function geop_r(first, factor, n)

Arguments

Type	Intent		Name
real(kind=SP),	intent(in)	::	first
real(kind=SP),	intent(in)	::	factor
integer(kind=I4B),	intent(in)	::	n

Return Value real(kind=SP), DIMENSION(n)

public function geop_d(first, factor, n)

Arguments

Type	Intent		Name
real(kind=DP),	intent(in)	::	first
real(kind=DP),	intent(in)	::	factor
integer(kind=I4B),	intent(in)	::	n

Return Value real(kind=DP), DIMENSION(n)

public function geop_i(first, factor, n)

Arguments

Type	Intent		Name
integer(kind=I4B),	intent(in)	::	first
integer(kind=I4B),	intent(in)	::	factor
integer(kind=I4B),	intent(in)	::	n

Return Value integer(kind=I4B), DIMENSION(n)

public function geop_c(first, factor, n)

Arguments

Type	Intent		Name
complex(kind=SP),	intent(in)	::	first
complex(kind=SP),	intent(in)	::	factor
integer(kind=I4B),	intent(in)	::	n

Return Value complex(kind=SP), DIMENSION(n)

public function geop_dv(first, factor, n)

Arguments

Type	Intent	Attributes		Name
real(kind=DP),	intent(in),	DIMENSION(:)	::	first
real(kind=DP),	intent(in),	DIMENSION(:)	::	factor
integer(kind=I4B),	intent(in)		::	n

Return Value real(kind=DP), DIMENSION(size(first),n)

public recursive function cumsum_r(arr, seed) result(ans)

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=SP),	intent(in),		DIMENSION(:)	::	arr
real(kind=SP),	intent(in),	optional		::	seed

Return Value real(kind=SP), DIMENSION(size(arr))

public recursive function cumsum_i(arr, seed) result(ans)

Arguments

Type	Intent	Optional	Attributes		Name
integer(kind=I4B),	intent(in),		DIMENSION(:)	::	arr
integer(kind=I4B),	intent(in),	optional		::	seed

Return Value integer(kind=I4B), DIMENSION(size(arr))

public recursive function cumprod(arr, seed) result(ans)

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=SP),	intent(in),		DIMENSION(:)	::	arr
real(kind=SP),	intent(in),	optional		::	seed

Return Value real(kind=SP), DIMENSION(size(arr))

public function poly_rr(x, coeffs)

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=SP),	intent(in)			::	x
real(kind=SP),	intent(in),		DIMENSION(:)	::	coeffs

Return Value real(kind=SP)

public function poly_dd(x, coeffs)

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=DP),	intent(in)			::	x
real(kind=DP),	intent(in),		DIMENSION(:)	::	coeffs

Return Value real(kind=DP)

public function poly_rc(x, coeffs)

Arguments

Type	Intent	Optional	Attributes		Name
complex(kind=SPC),	intent(in)			::	x
real(kind=SP),	intent(in),		DIMENSION(:)	::	coeffs

Return Value complex(kind=SPC)

public function poly_cc(x, coeffs)

Arguments

Type	Intent	Optional	Attributes		Name
complex(kind=SPC),	intent(in)			::	x
complex(kind=SPC),	intent(in),		DIMENSION(:)	::	coeffs

Return Value complex(kind=SPC)

public function poly_rrv(x, coeffs)

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=SP),	intent(in),		DIMENSION(:)	::	x
real(kind=SP),	intent(in),		DIMENSION(:)	::	coeffs

Return Value real(kind=SP), DIMENSION(size(x))

public function poly_ddv(x, coeffs)

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=DP),	intent(in),		DIMENSION(:)	::	x
real(kind=DP),	intent(in),		DIMENSION(:)	::	coeffs

Return Value real(kind=DP), DIMENSION(size(x))

public function poly_msk_rrv(x, coeffs, mask)

Arguments

Type	Intent	Attributes		Name
real(kind=SP),	intent(in),	DIMENSION(:)	::	x
real(kind=SP),	intent(in),	DIMENSION(:)	::	coeffs
logical(kind=LGT),	intent(in),	DIMENSION(:)	::	mask

Return Value real(kind=SP), DIMENSION(size(x))

public function poly_msk_ddv(x, coeffs, mask)

Arguments

Type	Intent	Attributes		Name
real(kind=DP),	intent(in),	DIMENSION(:)	::	x
real(kind=DP),	intent(in),	DIMENSION(:)	::	coeffs
logical(kind=LGT),	intent(in),	DIMENSION(:)	::	mask

Return Value real(kind=DP), DIMENSION(size(x))

public recursive function poly_term_rr(a, b) result(u)

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=SP),	intent(in),		DIMENSION(:)	::	a
real(kind=SP),	intent(in)			::	b

Return Value real(kind=SP), DIMENSION(size(a))

public recursive function poly_term_cc(a, b) result(u)

Arguments

Type	Intent	Optional	Attributes		Name
complex(kind=SPC),	intent(in),		DIMENSION(:)	::	a
complex(kind=SPC),	intent(in)			::	b

Return Value complex(kind=SPC), DIMENSION(size(a))

public function zroots_unity(n, nn)

Arguments

Type	Intent	Optional	Attributes		Name
integer(kind=I4B),	intent(in)			::	n
integer(kind=I4B),	intent(in)			::	nn

Return Value complex(kind=SPC), DIMENSION(nn)

public function outerprod_r(a, b)

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=SP),	intent(in),		DIMENSION(:)	::	a
real(kind=SP),	intent(in),		DIMENSION(:)	::	b

Return Value real(kind=SP), DIMENSION(size(a),size(b))

public function outerprod_d(a, b)

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=DP),	intent(in),		DIMENSION(:)	::	a
real(kind=DP),	intent(in),		DIMENSION(:)	::	b

Return Value real(kind=DP), DIMENSION(size(a),size(b))

public function outerdiv(a, b)

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=SP),	intent(in),		DIMENSION(:)	::	a
real(kind=SP),	intent(in),		DIMENSION(:)	::	b

Return Value real(kind=SP), DIMENSION(size(a),size(b))

public function outersum(a, b)

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=SP),	intent(in),		DIMENSION(:)	::	a
real(kind=SP),	intent(in),		DIMENSION(:)	::	b

Return Value real(kind=SP), DIMENSION(size(a),size(b))

public function outerdiff_r(a, b)

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=SP),	intent(in),		DIMENSION(:)	::	a
real(kind=SP),	intent(in),		DIMENSION(:)	::	b

Return Value real(kind=SP), DIMENSION(size(a),size(b))

public function outerdiff_d(a, b)

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=DP),	intent(in),		DIMENSION(:)	::	a
real(kind=DP),	intent(in),		DIMENSION(:)	::	b

Return Value real(kind=DP), DIMENSION(size(a),size(b))

public function outerdiff_i(a, b)

Arguments

Type	Intent	Optional	Attributes		Name
integer(kind=I4B),	intent(in),		DIMENSION(:)	::	a
integer(kind=I4B),	intent(in),		DIMENSION(:)	::	b

Return Value integer(kind=I4B), DIMENSION(size(a),size(b))

public function outerand(a, b)

Arguments

Type	Intent	Optional	Attributes		Name
logical(kind=LGT),	intent(in),		DIMENSION(:)	::	a
logical(kind=LGT),	intent(in),		DIMENSION(:)	::	b

Return Value logical(kind=LGT), DIMENSION(size(a),size(b))

public function get_diag_rv(mat)

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=SP),	intent(in),		DIMENSION(:,:)	::	mat

Return Value real(kind=SP), DIMENSION(size(mat,1))

public function get_diag_dv(mat)

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=DP),	intent(in),		DIMENSION(:,:)	::	mat

Return Value real(kind=DP), DIMENSION(size(mat,1))

public function upper_triangle(j, k, extra)

Arguments

Type	Intent	Optional		Name
integer(kind=I4B),	intent(in)		::	j
integer(kind=I4B),	intent(in)		::	k
integer(kind=I4B),	intent(in),	optional	::	extra

Return Value logical(kind=LGT), DIMENSION(j,k)

public function lower_triangle(j, k, extra)

Arguments

Type	Intent	Optional		Name
integer(kind=I4B),	intent(in)		::	j
integer(kind=I4B),	intent(in)		::	k
integer(kind=I4B),	intent(in),	optional	::	extra

Return Value logical(kind=LGT), DIMENSION(j,k)

public function vabs(v)

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=SP),	intent(in),		DIMENSION(:)	::	v

Return Value real(kind=SP)

Subroutines

public subroutine array_copy_r(src, dest, n_copied, n_not_copied)

Arguments

Type	Intent	Attributes		Name
real(kind=SP),	intent(in),	DIMENSION(:)	::	src
real(kind=SP),	intent(out),	DIMENSION(:)	::	dest
integer(kind=I4B),	intent(out)		::	n_copied
integer(kind=I4B),	intent(out)		::	n_not_copied

public subroutine array_copy_d(src, dest, n_copied, n_not_copied)

Arguments

Type	Intent	Attributes		Name
real(kind=DP),	intent(in),	DIMENSION(:)	::	src
real(kind=DP),	intent(out),	DIMENSION(:)	::	dest
integer(kind=I4B),	intent(out)		::	n_copied
integer(kind=I4B),	intent(out)		::	n_not_copied

public subroutine array_copy_i(src, dest, n_copied, n_not_copied)

Arguments

Type	Intent	Attributes		Name
integer(kind=I4B),	intent(in),	DIMENSION(:)	::	src
integer(kind=I4B),	intent(out),	DIMENSION(:)	::	dest
integer(kind=I4B),	intent(out)		::	n_copied
integer(kind=I4B),	intent(out)		::	n_not_copied

public subroutine swap_i(a, b)

Arguments

Type	Intent	Optional	Attributes		Name
integer(kind=I4B),	intent(inout)			::	a
integer(kind=I4B),	intent(inout)			::	b

public subroutine swap_r(a, b)

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=SP),	intent(inout)			::	a
real(kind=SP),	intent(inout)			::	b

public subroutine swap_rv(a, b)

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=SP),	intent(inout),		DIMENSION(:)	::	a
real(kind=SP),	intent(inout),		DIMENSION(:)	::	b

public subroutine swap_c(a, b)

Arguments

Type	Intent	Optional	Attributes		Name
complex(kind=SPC),	intent(inout)			::	a
complex(kind=SPC),	intent(inout)			::	b

public subroutine swap_cv(a, b)

Arguments

Type	Intent	Optional	Attributes		Name
complex(kind=SPC),	intent(inout),		DIMENSION(:)	::	a
complex(kind=SPC),	intent(inout),		DIMENSION(:)	::	b

public subroutine swap_cm(a, b)

Arguments

Type	Intent	Optional	Attributes		Name
complex(kind=SPC),	intent(inout),		DIMENSION(:,:)	::	a
complex(kind=SPC),	intent(inout),		DIMENSION(:,:)	::	b

public subroutine swap_z(a, b)

Arguments

Type	Intent	Optional	Attributes		Name
complex(kind=DPC),	intent(inout)			::	a
complex(kind=DPC),	intent(inout)			::	b

public subroutine swap_zv(a, b)

Arguments

Type	Intent	Optional	Attributes		Name
complex(kind=DPC),	intent(inout),		DIMENSION(:)	::	a
complex(kind=DPC),	intent(inout),		DIMENSION(:)	::	b

public subroutine swap_zm(a, b)

Arguments

Type	Intent	Optional	Attributes		Name
complex(kind=DPC),	intent(inout),		DIMENSION(:,:)	::	a
complex(kind=DPC),	intent(inout),		DIMENSION(:,:)	::	b

public subroutine masked_swap_rs(a, b, mask)

Arguments

Type	Intent		Name
real(kind=SP),	intent(inout)	::	a
real(kind=SP),	intent(inout)	::	b
logical(kind=LGT),	intent(in)	::	mask

public subroutine masked_swap_rv(a, b, mask)

Arguments

Type	Intent	Attributes		Name
real(kind=SP),	intent(inout),	DIMENSION(:)	::	a
real(kind=SP),	intent(inout),	DIMENSION(:)	::	b
logical(kind=LGT),	intent(in),	DIMENSION(:)	::	mask

public subroutine masked_swap_rm(a, b, mask)

Arguments

Type	Intent	Attributes		Name
real(kind=SP),	intent(inout),	DIMENSION(:,:)	::	a
real(kind=SP),	intent(inout),	DIMENSION(:,:)	::	b
logical(kind=LGT),	intent(in),	DIMENSION(:,:)	::	mask

public subroutine assert1(n1, string)

Arguments

Type	Intent	Optional	Attributes		Name
logical,	intent(in)			::	n1
character(len=*),	intent(in)			::	string

public subroutine assert2(n1, n2, string)

Arguments

Type	Intent		Name
logical,	intent(in)	::	n1
logical,	intent(in)	::	n2
character(len=*),	intent(in)	::	string

public subroutine assert3(n1, n2, n3, string)

Arguments

Type	Intent		Name
logical,	intent(in)	::	n1
logical,	intent(in)	::	n2
logical,	intent(in)	::	n3
character(len=*),	intent(in)	::	string

public subroutine assert4(n1, n2, n3, n4, string)

Arguments

Type	Intent		Name
logical,	intent(in)	::	n1
logical,	intent(in)	::	n2
logical,	intent(in)	::	n3
logical,	intent(in)	::	n4
character(len=*),	intent(in)	::	string

public subroutine assert_v(n, string)

Arguments

Type	Intent	Optional	Attributes		Name
logical,	intent(in),		DIMENSION(:)	::	n
character(len=*),	intent(in)			::	string

public subroutine nrerror(string)

Arguments

Type	Intent	Optional	Attributes		Name
character(len=*),	intent(in)			::	string

public subroutine scatter_add_r(dest, source, dest_index)

Arguments

Type	Intent	Attributes		Name
real(kind=SP),	intent(out),	DIMENSION(:)	::	dest
real(kind=SP),	intent(in),	DIMENSION(:)	::	source
integer(kind=I4B),	intent(in),	DIMENSION(:)	::	dest_index

public subroutine scatter_add_d(dest, source, dest_index)

Arguments

Type	Intent	Attributes		Name
real(kind=DP),	intent(out),	DIMENSION(:)	::	dest
real(kind=DP),	intent(in),	DIMENSION(:)	::	source
integer(kind=I4B),	intent(in),	DIMENSION(:)	::	dest_index

public subroutine scatter_max_r(dest, source, dest_index)

Arguments

Type	Intent	Attributes		Name
real(kind=SP),	intent(out),	DIMENSION(:)	::	dest
real(kind=SP),	intent(in),	DIMENSION(:)	::	source
integer(kind=I4B),	intent(in),	DIMENSION(:)	::	dest_index

public subroutine scatter_max_d(dest, source, dest_index)

Arguments

Type	Intent	Attributes		Name
real(kind=DP),	intent(out),	DIMENSION(:)	::	dest
real(kind=DP),	intent(in),	DIMENSION(:)	::	source
integer(kind=I4B),	intent(in),	DIMENSION(:)	::	dest_index

public subroutine diagadd_rv(mat, diag)

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=SP),	intent(inout),		DIMENSION(:,:)	::	mat
real(kind=SP),	intent(in),		DIMENSION(:)	::	diag

public subroutine diagadd_r(mat, diag)

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=SP),	intent(inout),		DIMENSION(:,:)	::	mat
real(kind=SP),	intent(in)			::	diag

public subroutine diagmult_rv(mat, diag)

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=SP),	intent(inout),		DIMENSION(:,:)	::	mat
real(kind=SP),	intent(in),		DIMENSION(:)	::	diag

public subroutine diagmult_r(mat, diag)

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=SP),	intent(inout),		DIMENSION(:,:)	::	mat
real(kind=SP),	intent(in)			::	diag

public subroutine put_diag_rv(diagv, mat)

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=SP),	intent(in),		DIMENSION(:)	::	diagv
real(kind=SP),	intent(inout),		DIMENSION(:,:)	::	mat

public subroutine put_diag_r(scal, mat)

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=SP),	intent(in)			::	scal
real(kind=SP),	intent(inout),		DIMENSION(:,:)	::	mat

public subroutine unit_matrix(mat)

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=SP),	intent(out),		DIMENSION(:,:)	::	mat

nrutil Module

Contents

Uses

Used by

Contents

Variables

Interfaces

public interface array_copy

public subroutine array_copy_r(src, dest, n_copied, n_not_copied)

Arguments

public subroutine array_copy_d(src, dest, n_copied, n_not_copied)

Arguments

public subroutine array_copy_i(src, dest, n_copied, n_not_copied)

Arguments

public interface swap

public subroutine swap_i(a, b)

Arguments

public subroutine swap_r(a, b)

Arguments

public subroutine swap_rv(a, b)

Arguments

public subroutine swap_c(a, b)

Arguments

public subroutine swap_cv(a, b)

Arguments

public subroutine swap_cm(a, b)

Arguments

public subroutine swap_z(a, b)

Arguments

public subroutine swap_zv(a, b)

Arguments

public subroutine swap_zm(a, b)

Arguments

public subroutine masked_swap_rs(a, b, mask)

Arguments

public subroutine masked_swap_rv(a, b, mask)

Arguments

public subroutine masked_swap_rm(a, b, mask)

Arguments

public interface reallocate

public function reallocate_rv(p, n)

Arguments

Return Value real(kind=SP), DIMENSION(:), POINTER

public function reallocate_rm(p, n, m)

Arguments

Return Value real(kind=SP), DIMENSION(:,:), POINTER

public function reallocate_iv(p, n)

Arguments

Return Value integer(kind=I4B), DIMENSION(:), POINTER

public function reallocate_im(p, n, m)

Arguments

Return Value integer(kind=I4B), DIMENSION(:,:), POINTER

public function reallocate_hv(p, n)

Arguments

Return Value character(len=1), DIMENSION(:), POINTER

public interface imaxloc

public function imaxloc_r(arr)

Arguments

Return Value integer(kind=I4B)

public function imaxloc_i(iarr)

Arguments

Return Value integer(kind=I4B)

public interface assert

public subroutine assert1(n1, string)

Arguments

public subroutine assert2(n1, n2, string)

Arguments

public subroutine assert3(n1, n2, n3, string)

Arguments

public subroutine assert4(n1, n2, n3, n4, string)

Arguments

public subroutine assert_v(n, string)

Arguments

public interface assert_eq

public function assert_eq2(n1, n2, string)

Arguments

Return Value integer

public function assert_eq3(n1, n2, n3, string)

Arguments

Return Value integer