GAUSS_QUADRATURE – SciFortran

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Interfaces

public interface gauss_quad

private subroutine integrate_1d_func_main(m, fx, xl, xu, ans, tol, method, ierr, err)

Arguments

Type	Intent	Optional	Attributes		Name
integer				::	m
procedure(f_x)				::	fx
real(kind=8),	intent(in)			::	xl
real(kind=8),	intent(in)			::	xu
real(kind=8),	intent(inout),		dimension(m)	::	ans
real(kind=8),	intent(in),	optional		::	tol
integer,	intent(in),	optional		::	method
integer,	intent(out),	optional		::	ierr
real(kind=8),	intent(out),	optional		::	err

private subroutine integrate_nd_func_main(m, fxvec, xl, xu, ans, methods, method, tols, tol, ierr, err)

Arguments

Type	Intent	Optional	Attributes		Name
integer				::	m
procedure(f_xvec)				::	fxvec
real(kind=8),	intent(in),		dimension(:)	::	xl
real(kind=8),	intent(in),		dimension(size(xl))	::	xu
real(kind=8),	intent(inout),		dimension(m)	::	ans
integer,	intent(in),	optional,	dimension(size(xl))	::	methods
integer,	intent(in),	optional		::	method
real(kind=8),	intent(in),	optional,	dimension(size(xl))	::	tols
real(kind=8),	intent(in),	optional		::	tol
integer,	intent(out),	optional		::	ierr
real(kind=8),	intent(out),	optional		::	err

private subroutine integrate_1d_func_1(func, xl, xu, ans, tol, method, ierr, err)

Arguments

Type

Intent

Optional

Attributes

Name

private function func(x)

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=8)				::	x

Return Value real(kind=8)

real(kind=8),

intent(in)

real(kind=8),

intent(in)

real(kind=8),

intent(inout)

ans

real(kind=8),

intent(in),

optional

tol

integer,

intent(in),

optional

method

integer,

intent(out),

optional

ierr

real(kind=8),

intent(out),

optional

err

private subroutine integrate_nd_func_1(func, xl, xu, ans, methods, method, tols, tol, ierr, err)

Arguments

Type

Intent

Optional

Attributes

Name

private function func(x)

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=8),			dimension(:)	::	x

Return Value real(kind=8)

real(kind=8),

intent(in),

dimension(:)

real(kind=8),

intent(in),

dimension(size(xl))

real(kind=8),

intent(inout)

ans

integer,

intent(in),

optional,

dimension(size(xl))

methods

integer,

intent(in),

optional

method

real(kind=8),

intent(in),

optional,

dimension(size(xl))

tols

real(kind=8),

intent(in),

optional

tol

integer,

intent(out),

optional

ierr

real(kind=8),

intent(out),

optional

err

private subroutine integrate_1d_sample(fsample, xl, xu, ans, tol, method, ierr, err)

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=8),			dimension(:)	::	fsample
real(kind=8),	intent(in)			::	xl
real(kind=8),	intent(in)			::	xu
real(kind=8),	intent(inout)			::	ans
real(kind=8),	intent(in),	optional		::	tol
integer,	intent(in),	optional		::	method
integer,	intent(out),	optional		::	ierr
real(kind=8),	intent(out),	optional		::	err

private subroutine integrate_2d_sample(fsample, xl, xu, ans, methods, method, tols, tol, ierr, err)

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=8),	intent(in),		dimension(:,:)	::	fsample
real(kind=8),	intent(in),		dimension(:)	::	xl
real(kind=8),	intent(in),		dimension(size(xl))	::	xu
real(kind=8),	intent(inout)			::	ans
integer,	intent(in),	optional,	dimension(size(xl))	::	methods
integer,	intent(in),	optional		::	method
real(kind=8),	intent(in),	optional,	dimension(size(xl))	::	tols
real(kind=8),	intent(in),	optional		::	tol
integer,	intent(out),	optional		::	ierr
real(kind=8),	intent(out),	optional		::	err

public interface integrate

private subroutine integrate_1d_func_main(m, fx, xl, xu, ans, tol, method, ierr, err)

Arguments

Type	Intent	Optional	Attributes		Name
integer				::	m
procedure(f_x)				::	fx
real(kind=8),	intent(in)			::	xl
real(kind=8),	intent(in)			::	xu
real(kind=8),	intent(inout),		dimension(m)	::	ans
real(kind=8),	intent(in),	optional		::	tol
integer,	intent(in),	optional		::	method
integer,	intent(out),	optional		::	ierr
real(kind=8),	intent(out),	optional		::	err

private subroutine integrate_nd_func_main(m, fxvec, xl, xu, ans, methods, method, tols, tol, ierr, err)

Arguments

Type	Intent	Optional	Attributes		Name
integer				::	m
procedure(f_xvec)				::	fxvec
real(kind=8),	intent(in),		dimension(:)	::	xl
real(kind=8),	intent(in),		dimension(size(xl))	::	xu
real(kind=8),	intent(inout),		dimension(m)	::	ans
integer,	intent(in),	optional,	dimension(size(xl))	::	methods
integer,	intent(in),	optional		::	method
real(kind=8),	intent(in),	optional,	dimension(size(xl))	::	tols
real(kind=8),	intent(in),	optional		::	tol
integer,	intent(out),	optional		::	ierr
real(kind=8),	intent(out),	optional		::	err

private subroutine integrate_1d_func_1(func, xl, xu, ans, tol, method, ierr, err)

Arguments

Type

Intent

Optional

Attributes

Name

private function func(x)

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=8)				::	x

Return Value real(kind=8)

real(kind=8),

intent(in)

real(kind=8),

intent(in)

real(kind=8),

intent(inout)

ans

real(kind=8),

intent(in),

optional

tol

integer,

intent(in),

optional

method

integer,

intent(out),

optional

ierr

real(kind=8),

intent(out),

optional

err

private subroutine integrate_nd_func_1(func, xl, xu, ans, methods, method, tols, tol, ierr, err)

Arguments

Type

Intent

Optional

Attributes

Name

private function func(x)

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=8),			dimension(:)	::	x

Return Value real(kind=8)

real(kind=8),

intent(in),

dimension(:)

real(kind=8),

intent(in),

dimension(size(xl))

real(kind=8),

intent(inout)

ans

integer,

intent(in),

optional,

dimension(size(xl))

methods

integer,

intent(in),

optional

method

real(kind=8),

intent(in),

optional,

dimension(size(xl))

tols

real(kind=8),

intent(in),

optional

tol

integer,

intent(out),

optional

ierr

real(kind=8),

intent(out),

optional

err

private subroutine integrate_1d_sample(fsample, xl, xu, ans, tol, method, ierr, err)

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=8),			dimension(:)	::	fsample
real(kind=8),	intent(in)			::	xl
real(kind=8),	intent(in)			::	xu
real(kind=8),	intent(inout)			::	ans
real(kind=8),	intent(in),	optional		::	tol
integer,	intent(in),	optional		::	method
integer,	intent(out),	optional		::	ierr
real(kind=8),	intent(out),	optional		::	err

private subroutine integrate_2d_sample(fsample, xl, xu, ans, methods, method, tols, tol, ierr, err)

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=8),	intent(in),		dimension(:,:)	::	fsample
real(kind=8),	intent(in),		dimension(:)	::	xl
real(kind=8),	intent(in),		dimension(size(xl))	::	xu
real(kind=8),	intent(inout)			::	ans
integer,	intent(in),	optional,	dimension(size(xl))	::	methods
integer,	intent(in),	optional		::	method
real(kind=8),	intent(in),	optional,	dimension(size(xl))	::	tols
real(kind=8),	intent(in),	optional		::	tol
integer,	intent(out),	optional		::	ierr
real(kind=8),	intent(out),	optional		::	err

GAUSS_QUADRATURE Module

Contents

Interfaces

Used by

Interfaces

public interface gauss_quad

private subroutine integrate_1d_func_main(m, fx, xl, xu, ans, tol, method, ierr, err)

Arguments

private subroutine integrate_nd_func_main(m, fxvec, xl, xu, ans, methods, method, tols, tol, ierr, err)

Arguments

private subroutine integrate_1d_func_1(func, xl, xu, ans, tol, method, ierr, err)

Arguments

private function func(x)

Arguments

Return Value real(kind=8)

private subroutine integrate_nd_func_1(func, xl, xu, ans, methods, method, tols, tol, ierr, err)

Arguments

private function func(x)

Arguments

Return Value real(kind=8)

private subroutine integrate_1d_sample(fsample, xl, xu, ans, tol, method, ierr, err)

Arguments

private subroutine integrate_2d_sample(fsample, xl, xu, ans, methods, method, tols, tol, ierr, err)

Arguments

public interface integrate

private subroutine integrate_1d_func_main(m, fx, xl, xu, ans, tol, method, ierr, err)

Arguments

private subroutine integrate_nd_func_main(m, fxvec, xl, xu, ans, methods, method, tols, tol, ierr, err)

Arguments

private subroutine integrate_1d_func_1(func, xl, xu, ans, tol, method, ierr, err)

Arguments

private function func(x)

Arguments

Return Value real(kind=8)

private subroutine integrate_nd_func_1(func, xl, xu, ans, methods, method, tols, tol, ierr, err)

Arguments

private function func(x)

Arguments

Return Value real(kind=8)

private subroutine integrate_1d_sample(fsample, xl, xu, ans, tol, method, ierr, err)

Arguments

private subroutine integrate_2d_sample(fsample, xl, xu, ans, methods, method, tols, tol, ierr, err)

Arguments