gaussquadrature::gaussq Type Reference

Public Member Functions
procedure, pass, public	init (this, lun_err, ngauss)
	Static constructor for gaussquadrature::gaussq
procedure, pass, public	kill (this, lun_err)
	Static destructor for gaussquadrature::gaussq
procedure, pass, public	info (this, lun_out)
	Info procedure for gaussquadrature::gaussq
procedure, pass, public	on_interval (this, a, b)
	Procedure to compute Gauss points of \([a,b]\).
procedure, pass, public	on_cell (this, ax, bx, ay, by)
	Procedure to compute Gauss points of \([a_x,b_x] \times [a_y,b_y]\).

Public Attributes
integer	ngauss
	Number of 1d Gauss points.
real(kind=double), dimension(:), allocatable	coeff1d
	Dimension (ngauss) Coefficients of 1d Gauss points on \([-1,+1]\).
real(kind=double), dimension(:), allocatable	coord_ab
	Dimension (ngauss) Cordinate of Gauss points on interval \([a,b]\). Only allocated, it will be gauss = (b-a)/2 coeff + (a+b) /2.
real(kind=double), dimension(:), allocatable	weight1d
	Dimension (ngauss). Weight of 1d Gauss points on \([-1,+1]\).
real(kind=double), dimension(:), allocatable	weight_ab
	Dimension (ngauss). Weight of 1d Gauss points on \([a,b]\).
real(kind=double), dimension(:,:), allocatable	coord_cell
	Dimension (ngauss,2). Cordinate of 2d gauss points (first column \(x\), second column \(y\))
real(kind=double), dimension(:,:), allocatable	weight_cell
	Dimension (ngauss,2). Weights of 2d Gauss points (first column \(x\), second column \(y\))
real(kind=double), dimension(:), allocatable	weight2d
	Dimension (ngauss**2) Tensioral production of 1d Gauss weights.

Member Function/Subroutine Documentation

init()

procedure, pass, public gaussquadrature::gaussq::init	(	class(gaussq), intent(inout)	this,
		integer, intent(in)	lun_err,
		integer, intent(in)	ngauss )

Static constructor for gaussquadrature::gaussq

---

Allocate all the variables. Define variable gaussq::coeff1d and gaussq::weight1d.

Parameters

[in]	lun_err	unit number for error messages
[in]	ngauss	Number of Gauss points

kill()

procedure, pass, public gaussquadrature::gaussq::kill	(	class(gaussq), intent(inout)	this,
		integer, intent(in)	lun_err )

Static destructor for gaussquadrature::gaussq

---

Deallocate all the variables.

Parameters

[in]

lun_err

unit number for error messagges

info()

procedure, pass, public gaussquadrature::gaussq::info	(	class(gaussq), intent(in)	this,
		integer, intent(in)	lun_out )

Info procedure for gaussquadrature::gaussq

---

Parameters

[in]

lun_out

unit number for output messagges

on_interval()

procedure, pass, public gaussquadrature::gaussq::on_interval	(	class(gaussq), intent(inout)	this,
		real(double), intent(in)	a,
		real(double), intent(in)	b )

Procedure to compute Gauss points of \([a,b]\).

---

Define variables gaussq::coord_ab and gaussq::weight_ab.

Parameters

[in]	a	left endpoint of interval
[in]	b	right endpoint of interval

on_cell()

procedure, pass, public gaussquadrature::gaussq::on_cell	(	class(gaussq), intent(inout)	this,
		real(double), intent(in)	ax,
		real(double), intent(in)	bx,
		real(double), intent(in)	ay,
		real(double), intent(in)	by )

Procedure to compute Gauss points of \([a_x,b_x] \times [a_y,b_y]\).

---

Gauss points in \(\mathbb{R}^{2}\) are computed by tensorization of 1d Gauss points. Define variables gaussq::coord_cell and gaussq::weight_cell.

Parameters

[in]	ax	left endpoint interval variable \(x\).
[in]	bx	right endpoint interval variable \(x\).
[in]	ay	left endpoint interval variable \(y\).
[in]	by	right endpoint interval variable y.

Member Data Documentation

ngauss

integer gaussquadrature::gaussq::ngauss

Number of 1d Gauss points.

coeff1d

real(kind = double), dimension(:), allocatable gaussquadrature::gaussq::coeff1d

Dimension (ngauss) Coefficients of 1d Gauss points on \([-1,+1]\).

coord_ab

real(kind = double), dimension(:), allocatable gaussquadrature::gaussq::coord_ab

Dimension (ngauss) Cordinate of Gauss points on interval \([a,b]\). Only allocated, it will be gauss = (b-a)/2 coeff + (a+b) /2.

weight1d

real(kind = double), dimension(:), allocatable gaussquadrature::gaussq::weight1d

Dimension (ngauss). Weight of 1d Gauss points on \([-1,+1]\).

weight_ab

real(kind = double), dimension(:), allocatable gaussquadrature::gaussq::weight_ab

Dimension (ngauss). Weight of 1d Gauss points on \([a,b]\).

coord_cell

real(kind = double), dimension(:,:), allocatable gaussquadrature::gaussq::coord_cell

Dimension (ngauss,2). Cordinate of 2d gauss points (first column \(x\), second column \(y\))

weight_cell

real(kind = double), dimension(:,:), allocatable gaussquadrature::gaussq::weight_cell

Dimension (ngauss,2). Weights of 2d Gauss points (first column \(x\), second column \(y\))

weight2d

real(kind = double), dimension(:), allocatable gaussquadrature::gaussq::weight2d

Dimension (ngauss**2) Tensioral production of 1d Gauss weights.

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The documentation for this type was generated from the following file:

• /home/runner/work/globals/globals/libsrcs/08modGaussQuadrature.f90