stdlib_quadrature – Fortran-lang/stdlib

(Specification)

Uses

- stdlib_kinds
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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. Where possible, edges connecting nodes are given different colours to make them easier to distinguish in large graphs.

Used by

- Descendants:
- stdlib_quadrature_gauss
- stdlib_quadrature_simps
- stdlib_quadrature_trapz
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. Where possible, edges connecting nodes are given different colours to make them easier to distinguish in large graphs.

Interfaces

gauss_legendre gauss_legendre_lobatto simps simps_weights trapz trapz_weights

Interfaces

public interface gauss_legendre

Computes Gauss-Legendre quadrature nodes and weights.

public pure subroutine gauss_legendre_fp64(x, w, interval)

Arguments

Type	Intent	Optional		Name
real(kind=dp),	intent(out)		::	x(:)
real(kind=dp),	intent(out)		::	w(:)
real(kind=dp),	intent(in),	optional	::	interval(2)

public interface gauss_legendre_lobatto

Computes Gauss-Legendre-Lobatto quadrature nodes and weights.

public pure subroutine gauss_legendre_lobatto_fp64(x, w, interval)

Arguments

Type	Intent	Optional		Name
real(kind=dp),	intent(out)		::	x(:)
real(kind=dp),	intent(out)		::	w(:)
real(kind=dp),	intent(in),	optional	::	interval(2)

public interface simps

Integrates sampled values using Simpson's rule (Specification)

public pure recursive function simps_dx_dp(y, dx, even) result(integral)

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=dp),	intent(in),		dimension(:)	::	y
real(kind=dp),	intent(in)			::	dx
integer,	intent(in),	optional		::	even

Return Value real(kind=dp)

public pure recursive function simps_dx_sp(y, dx, even) result(integral)

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=sp),	intent(in),		dimension(:)	::	y
real(kind=sp),	intent(in)			::	dx
integer,	intent(in),	optional		::	even

Return Value real(kind=sp)

public recursive function simps_x_dp(y, x, even) result(integral)

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=dp),	intent(in),		dimension(:)	::	y
real(kind=dp),	intent(in),		dimension(:)	::	x
integer,	intent(in),	optional		::	even

Return Value real(kind=dp)

public recursive function simps_x_sp(y, x, even) result(integral)

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=sp),	intent(in),		dimension(:)	::	y
real(kind=sp),	intent(in),		dimension(:)	::	x
integer,	intent(in),	optional		::	even

Return Value real(kind=sp)

public interface simps_weights

Integrates sampled values using trapezoidal rule weights for given abscissas (Specification)

public pure recursive function simps_weights_dp(x, even) result(w)

Arguments

Type Intent Optional Attributes Name

real(kind=dp), intent(in), dimension(:) :: x

integer, intent(in), optional :: even

Return Value real(kind=dp), dimension(size(x))
public pure recursive function simps_weights_sp(x, even) result(w)

Arguments

Type Intent Optional Attributes Name

real(kind=sp), intent(in), dimension(:) :: x

integer, intent(in), optional :: even

Return Value real(kind=sp), dimension(size(x))

Type	Intent	Optional	Attributes		Name
real(kind=dp),	intent(in),		dimension(:)	::	x
integer,	intent(in),	optional		::	even

Type	Intent	Optional	Attributes		Name
real(kind=sp),	intent(in),		dimension(:)	::	x
integer,	intent(in),	optional		::	even

public interface trapz

Integrates sampled values using trapezoidal rule (Specification)

public pure function trapz_dx_dp(y, dx) result(integral)

Arguments

Type Intent Optional Attributes Name

real(kind=dp), intent(in), dimension(:) :: y

real(kind=dp), intent(in) :: dx

Return Value real(kind=dp)
public pure function trapz_dx_sp(y, dx) result(integral)

Arguments

Type Intent Optional Attributes Name

real(kind=sp), intent(in), dimension(:) :: y

real(kind=sp), intent(in) :: dx

Return Value real(kind=sp)
public function trapz_x_dp(y, x) result(integral)

Arguments

Type Intent Optional Attributes Name

real(kind=dp), intent(in), dimension(:) :: y

real(kind=dp), intent(in), dimension(:) :: x

Return Value real(kind=dp)
public function trapz_x_sp(y, x) result(integral)

Arguments

Type Intent Optional Attributes Name

real(kind=sp), intent(in), dimension(:) :: y

real(kind=sp), intent(in), dimension(:) :: x

Return Value real(kind=sp)

public interface trapz_weights

Integrates sampled values using trapezoidal rule weights for given abscissas (Specification)

public pure function trapz_weights_dp(x) result(w)

Arguments

Type Intent Optional Attributes Name

real(kind=dp), intent(in), dimension(:) :: x

Return Value real(kind=dp), dimension(size(x))
public pure function trapz_weights_sp(x) result(w)

Arguments

Type Intent Optional Attributes Name

real(kind=sp), intent(in), dimension(:) :: x

Return Value real(kind=sp), dimension(size(x))

stdlib_quadrature Module

Contents

Interfaces

Uses

Used by

Descendants:

Contents

Interfaces

Interfaces

public interface gauss_legendre

public pure subroutine gauss_legendre_fp64(x, w, interval)

Arguments

public interface gauss_legendre_lobatto

public pure subroutine gauss_legendre_lobatto_fp64(x, w, interval)

Arguments

public interface simps

public pure recursive function simps_dx_dp(y, dx, even) result(integral)

Arguments

Return Value real(kind=dp)

public pure recursive function simps_dx_sp(y, dx, even) result(integral)

Arguments

Return Value real(kind=sp)

public recursive function simps_x_dp(y, x, even) result(integral)

Arguments

Return Value real(kind=dp)

public recursive function simps_x_sp(y, x, even) result(integral)

Arguments

Return Value real(kind=sp)

public interface simps_weights

public pure recursive function simps_weights_dp(x, even) result(w)

Arguments

Return Value real(kind=dp), dimension(size(x))

public pure recursive function simps_weights_sp(x, even) result(w)

Arguments

Return Value real(kind=sp), dimension(size(x))

public interface trapz

public pure function trapz_dx_dp(y, dx) result(integral)

Arguments

Return Value real(kind=dp)

public pure function trapz_dx_sp(y, dx) result(integral)

Arguments

Return Value real(kind=sp)

public function trapz_x_dp(y, x) result(integral)

Arguments

Return Value real(kind=dp)

public function trapz_x_sp(y, x) result(integral)

Arguments

Return Value real(kind=sp)

public interface trapz_weights

public pure function trapz_weights_dp(x) result(w)

Arguments

Return Value real(kind=dp), dimension(size(x))

public pure function trapz_weights_sp(x) result(w)

Arguments

Return Value real(kind=sp), dimension(size(x))