mod_legendre Module

Uses

- iso_fortran_env
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Used by

- Descendants:
- smod_legendre_1D
- smod_legendre_2D
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.

Contents

Interfaces

basis_1D getXY pascal_single_row pascal_row getArow getAlpha2D getAlpha1D getJacobian

Interfaces

public interface basis_1D

public pure function basis_1D(x, alpha, dx) result(y)

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=wp),	intent(in),		dimension(:)	::	x
real(kind=wp),	intent(in),		dimension(:)	::	alpha
integer,	intent(in)			::	dx

Return Value real(kind=wp), dimension(:), allocatable

public interface getXY

public pure function getXY_2D(N) result(xy)

Arguments

Type Intent Optional Attributes Name

integer, intent(in) :: N

Return Value real(kind=wp), dimension(N,2)

public interface pascal_single_row

public pure function pascal_row_2D(N, x, y) result(row)

Arguments

Type	Intent	Optional	Attributes		Name
integer,	intent(in)			::	N
real(kind=wp),	intent(in)			::	x
real(kind=wp),	intent(in)			::	y

Return Value real(kind=wp), dimension(N+1)

public interface pascal_row

public pure function pascal_1D_line(N, x) result(row)

Arguments

Type Intent Optional Attributes Name

integer, intent(in) :: N

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

Return Value real(kind=wp), dimension(N+1)

public pure function pascal_2D_quad(N, x, y) result(row)

Arguments

Type	Intent	Optional	Attributes		Name
integer,	intent(in)			::	N
real(kind=wp),	intent(in)			::	x
real(kind=wp),	intent(in)			::	y

Return Value real(kind=wp), dimension((N+1)**2)

public interface getArow

public pure function getArow1D(N, xi) result(row)

Arguments

Type Intent Optional Attributes Name

integer, intent(in) :: N

real(kind=wp), intent(in) :: xi

Return Value real(kind=wp), dimension(N)

public pure function getArow2D(N, xi, eta) result(row)

Arguments

Type	Intent	Optional	Attributes		Name
integer,	intent(in)			::	N
real(kind=wp),	intent(in)			::	xi
real(kind=wp),	intent(in)			::	eta

Return Value real(kind=wp), dimension(N)

public interface getAlpha2D

public function getAlpha2D(N) result(alpha)

Arguments

Type Intent Optional Attributes Name

integer, intent(in) :: N

Return Value real(kind=wp), dimension(N,N)

public interface getAlpha1D

public function getAlpha1D(N) result(alpha)

Arguments

Type Intent Optional Attributes Name

integer, intent(in) :: N

Return Value real(kind=wp), dimension(N,N)

public interface getJacobian

public function getJacobian_2D(N, xi, eta, xy, alpha) result(J)

Arguments

Type	Intent	Optional	Attributes		Name
integer,	intent(in)			::	N
real(kind=wp),	intent(in)			::	xi
real(kind=wp),	intent(in)			::	eta
real(kind=wp),	intent(in),		dimension(N,2)	::	xy
real(kind=wp),	intent(in),		dimension(N,N)	::	alpha

Return Value real(kind=wp), dimension(2,2)