Re class

A reference simplex element object. More...

Files
file	re.h
	Class Re: a reference simplex element object.
Classes
struct	sRe
	Class Re: Parameters and datatypes. Class Re: Definition. More...
Typedefs
typedef struct sRe	Re
	Declaration of the Re class as the Re structure.
Functions
Re *	Re_ctor (int key, int dim, int(*simplexBasisInit)(int key, int dim, int comp, int *ndof, int dof[]), void(*simplexBasisForm)(int key, int dim, int comp, int pdkey, double xq[], double basis[]), int qorder)
	Class Re: Non-inlineable methods (Re.c).
void	Re_dtor (Re **thee)
	Class Re: Non-inlineable methods (Re.c).
int	Re_dim (Re *thee)
	the dimension of Re class
int	Re_dimV (Re *thee)
	Vertex number of i-simplices in element.
int	Re_dimE (Re *thee)
	Edge number of i-simplices in element.
int	Re_dimF (Re *thee)
	Face number of i-simplices in element.
int	Re_dimS (Re *thee)
	Simplex number of i-simplices in element.
int	Re_numVDF (Re *thee)
	Vertex degrees of freedom per i-simplex.
int	Re_numEDF (Re *thee)
	Edge degrees of freedom per i-simplex.
int	Re_numFDF (Re *thee)
	Face degrees of freedom per i-simplex.
int	Re_numSDF (Re *thee)
	Simplex degrees of freedom per i-simplex.
int	Re_qorder (Re *thee)
	Requested quadrature order.
int	Re_numP (Re *thee, int f)
	number of polys in volume element
int	Re_numQ (Re *thee, int f)
	number of volume/surface quad pts
double	Re_w (Re *thee, int m, int f)
	master element integration weight of volume/surface quadrature point data
double	Re_x (Re *thee, int m, int i, int f)
	master element integration point coordinates of volume/surface quadrature point data
double	Re_phi (Re *thee, int m, int i, int f)
	values of local basis funcs at integ pt
double	Re_phix (Re *thee, int m, int i, int f)
	x-derivs of local basis funcs at integ pt
double	Re_phiy (Re *thee, int m, int i, int f)
	y-derivs of local basis funcs at integ pt
double	Re_phiz (Re *thee, int m, int i, int f)
	z-derivs of local basis funcs at integ pt
double	Re_phix2 (Re *thee, int m, int i, int j, int f)
	Derivs of local basis funcs at integ pt.
int	Re_numQ_hi (Re *thee, int f)
	hi-acc number of volume/surface quad pts
double	Re_w_hi (Re *thee, int m, int f)
	high defination master element integration weight of volume/surface quadrature point data
double	Re_x_hi (Re *thee, int m, int i, int f)
	hi-acc master element integration point coordinates of volume/surface quadrature
double	Re_phi_hi (Re *thee, int m, int i, int f)
double	Re_phix_hi (Re *thee, int m, int i, int f)
	hi-acc x-derivs of local basis funcs at integ pt
double	Re_phiy_hi (Re *thee, int m, int i, int f)
	hi-acc y-derivs of local basis funcs at integ pt
double	Re_phiz_hi (Re *thee, int m, int i, int f)
	hi-acc z-derivs of local basis funcs at integ pt
double	Re_phix2_hi (Re *thee, int m, int i, int j, int f)
	hi-acc derivs of local basis funcs at integ pt
int	Re_sqPmt (Re *thee, int vxn_pmt, int m)
	permutations of surface quadrature points
int	Re_sqPmt_hi (Re *thee, int vxn_pmt, int m)
	permutations of hi-acc surface quad.points

---

Detailed Description

A reference simplex element object.

---

Typedef Documentation

typedef struct sRe Re

Declaration of the Re class as the Re structure.

Author:

Michael Holst

Returns:

None

---

Function Documentation

Re* Re_ctor	(	int	key,
		int	dim,
		int(*)(int key, int dim, int comp, int *ndof, int dof[])	simplexBasisInit,
		void(*)(int key, int dim, int comp, int pdkey, double xq[], double basis[])	simplexBasisForm,
		int	qorder
	)

Class Re: Non-inlineable methods (Re.c).

Author:

Michael Holst

int Re_dim

(

Re *

thee

)

the dimension of Re class

Author:

Michael Holst

Note:

Class Re: Non-inlineable methods (Re.c)

Returns:

the dimension of Re class

Parameters:

thee

Pointer to a Re allocated memory location

int Re_dimE

(

Re *

thee

)

Edge number of i-simplices in element.

Author:

Michael Holst

Note:

Class Re: Non-inlineable methods (Re.c)

Returns:

Edge number of i-simplices in element

Parameters:

thee

Pointer to a Re allocated memory location

int Re_dimF

(

Re *

thee

)

Face number of i-simplices in element.

Author:

Michael Holst

Note:

Class Re: Non-inlineable methods (Re.c)

Returns:

Face number of i-simplices in element

Parameters:

thee

Pointer to a Re allocated memory location

int Re_dimS

(

Re *

thee

)

Simplex number of i-simplices in element.

Author:

Michael Holst

Note:

Class Re: Non-inlineable methods (Re.c)

Returns:

Simplex number of i-simplices in element

Parameters:

thee

Pointer to a Re allocated memory location

int Re_dimV

(

Re *

thee

)

Vertex number of i-simplices in element.

Author:

Michael Holst

Note:

Class Re: Non-inlineable methods (Re.c)

Returns:

Vertex number of i-simplices in element

Parameters:

thee

Pointer to a Re allocated memory location

void Re_dtor

(

Re **

thee

)

Class Re: Non-inlineable methods (Re.c).

Author:

Michael Holst

Note:

Class Re: Non-inlineable methods (Re.c)

Returns:

None

Parameters:

thee

Pointer to a Re allocated memory location

int Re_numEDF

(

Re *

thee

)

Edge degrees of freedom per i-simplex.

Author:

Michael Holst

Note:

Class Re: Non-inlineable methods (Re.c)

Returns:

Edge degrees of freedom per i-simplex

Parameters:

thee

Pointer to a Re allocated memory location

int Re_numFDF

(

Re *

thee

)

Face degrees of freedom per i-simplex.

Author:

Michael Holst

Note:

Class Re: Non-inlineable methods (Re.c)

Returns:

Face degrees of freedom per i-simplex

Parameters:

thee

Pointer to a Re allocated memory location

int Re_numP	(	Re *	thee,
		int	f
	)

number of polys in volume element

Author:

Michael Holst

Note:

Class Re: Non-inlineable methods (Re.c)

Returns:

number of polys in volume element numP = numV * numVDF + numE * numEDF + numF * numFDF + numS * numSDF <= VMAXP

Parameters:

	thee	Pointer to a Re allocated memory location
	f	index for the face types

int Re_numQ	(	Re *	thee,
		int	f
	)

number of volume/surface quad pts

Author:

Michael Holst

Note:

Class Re: Non-inlineable methods (Re.c)

Returns:

number of volume/surface quad pts

Parameters:

	thee	Pointer to a Re allocated memory location
	f	index for the face types

int Re_numQ_hi	(	Re *	thee,
		int	f
	)

hi-acc number of volume/surface quad pts

Author:

Michael Holst

Note:

Class Re: Non-inlineable methods (Re.c)

Returns:

hi-acc number of volume/surface quad pts

Parameters:

	thee	Pointer to a Re allocated memory location
	f	index for the face types

int Re_numSDF

(

Re *

thee

)

Simplex degrees of freedom per i-simplex.

Author:

Michael Holst

Note:

Class Re: Non-inlineable methods (Re.c)

Returns:

Simplex degrees of freedom per i-simplex

Parameters:

thee

Pointer to a Re allocated memory location

int Re_numVDF

(

Re *

thee

)

Vertex degrees of freedom per i-simplex.

Author:

Michael Holst

Note:

Class Re: Non-inlineable methods (Re.c)

Returns:

Vertex degrees of freedom per i-simplex

Parameters:

thee

Pointer to a Re allocated memory location

double Re_phi	(	Re *	thee,
		int	m,
		int	i,
		int	f
	)

values of local basis funcs at integ pt

Author:

Michael Holst

Note:

Class Re: Non-inlineable methods (Re.c)

Returns:

values of local basis funcs at integ pt

Parameters:

	thee	Pointer to a Re allocated memory location
	m	index of the quadrature points
	i	index of polys/coefs
	f	index for the face types

double Re_phi_hi	(	Re *	thee,
		int	m,
		int	i,
		int	f
	)

Author:

Michael Holst

Note:

Class Re: Non-inlineable methods (Re.c)

Returns:

hi-acc values of local basis funcs at integ pt

Parameters:

	thee	Pointer to a Re allocated memory location
	m	index of the quadrature points
	i	index of polys/coefs
	f	index for the face types

double Re_phix	(	Re *	thee,
		int	m,
		int	i,
		int	f
	)

x-derivs of local basis funcs at integ pt

Author:

Michael Holst

Note:

Class Re: Non-inlineable methods (Re.c)

Returns:

x-derivs of local basis funcs at integ pt

Parameters:

	thee	Pointer to a Re allocated memory location
	m	index of the quadrature points
	i	index of polys/coefs
	f	index for the face types

double Re_phix2	(	Re *	thee,
		int	m,
		int	i,
		int	j,
		int	f
	)

Derivs of local basis funcs at integ pt.

Author:

Michael Holst

Note:

Class Re: Non-inlineable methods (Re.c)

Returns:

Derivs of local basis funcs at integ pt

Parameters:

	thee	Pointer to a Re allocated memory location
	m	index of the quadrature points
	i	index of polys/coefs
	j	index of the xyz coordinates
	f	index for the face types

double Re_phix2_hi	(	Re *	thee,
		int	m,
		int	i,
		int	j,
		int	f
	)

hi-acc derivs of local basis funcs at integ pt

Author:

Michael Holst

Note:

Class Re: Non-inlineable methods (Re.c)

Returns:

hi-acc derivs of local basis funcs at integ pt

Parameters:

	thee	Pointer to a Re allocated memory location
	m	index of the quadrature points
	i	index of polys/coefs
	j	index of the xyz coordinates
	f	index for the face types

double Re_phix_hi	(	Re *	thee,
		int	m,
		int	i,
		int	f
	)

hi-acc x-derivs of local basis funcs at integ pt

Author:

Michael Holst

Note:

Class Re: Non-inlineable methods (Re.c)

Returns:

hi-acc x-derivs of local basis funcs at integ pt

Parameters:

	thee	Pointer to a Re allocated memory location
	m	index of the quadrature points
	i	index of polys/coefs
	f	index for the face types

double Re_phiy	(	Re *	thee,
		int	m,
		int	i,
		int	f
	)

y-derivs of local basis funcs at integ pt

Author:

Michael Holst

Note:

Class Re: Non-inlineable methods (Re.c)

Returns:

y-derivs of local basis funcs at integ pt

Parameters:

	thee	Pointer to a Re allocated memory location
	m	index of the quadrature points
	i	index of polys/coefs
	f	index for the face types

double Re_phiy_hi	(	Re *	thee,
		int	m,
		int	i,
		int	f
	)

hi-acc y-derivs of local basis funcs at integ pt

Author:

Michael Holst

Note:

Class Re: Non-inlineable methods (Re.c)

Returns:

hi-acc y-derivs of local basis funcs at integ pt

Parameters:

	thee	Pointer to a Re allocated memory location
	m	index of the quadrature points
	i	index of polys/coefs
	f	index for the face types

double Re_phiz	(	Re *	thee,
		int	m,
		int	i,
		int	f
	)

z-derivs of local basis funcs at integ pt

Author:

Michael Holst

Note:

Class Re: Non-inlineable methods (Re.c)

Returns:

z-derivs of local basis funcs at integ pt

Parameters:

	thee	Pointer to a Re allocated memory location
	m	index of the quadrature points
	i	index of the xyz coordinates
	f	index for the face types

double Re_phiz_hi	(	Re *	thee,
		int	m,
		int	i,
		int	f
	)

hi-acc z-derivs of local basis funcs at integ pt

Author:

Michael Holst

Note:

Class Re: Non-inlineable methods (Re.c)

Returns:

hi-acc z-derivs of local basis funcs at integ pt

Parameters:

	thee	Pointer to a Re allocated memory location
	m	index of the quadrature points
	i	index of polys/coefs
	f	index for the face types

int Re_qorder

(

Re *

thee

)

Requested quadrature order.

Author:

Michael Holst

Note:

Class Re: Non-inlineable methods (Re.c)

Returns:

Requested quadrature order

Parameters:

thee

Pointer to a Re allocated memory location

int Re_sqPmt	(	Re *	thee,
		int	vxn_pmt,
		int	m
	)

permutations of surface quadrature points

Author:

Michael Holst

Note:

Class Re: Non-inlineable methods (Re.c)

Returns:

permutations of surface quadrature points

Parameters:

	thee	Pointer to a Re allocated memory location
	vxn_pmt	permutations of (0,1,2) to label rows in Re:
	m	index of the quadrature points

int Re_sqPmt_hi	(	Re *	thee,
		int	vxn_pmt,
		int	m
	)

permutations of hi-acc surface quad.points

Author:

Michael Holst

Note:

Class Re: Non-inlineable methods (Re.c)

Returns:

permutations of hi-acc surface quad.points

Parameters:

	thee	Pointer to a Re allocated memory location
	vxn_pmt	permutations of (0,1,2) to label rows in Re:
	m	index of the quadrature points

double Re_w	(	Re *	thee,
		int	m,
		int	f
	)

master element integration weight of volume/surface quadrature point data

Author:

Michael Holst

Note:

Class Re: Non-inlineable methods (Re.c)

Returns:

master element integration weight of volume/surface quadrature point data

Parameters:

	thee	Pointer to a Re allocated memory location
	m	index of the quadrature points
	f	index for the face types

double Re_w_hi	(	Re *	thee,
		int	m,
		int	f
	)

high defination master element integration weight of volume/surface quadrature point data

Author:

Michael Holst

Note:

Class Re: Non-inlineable methods (Re.c)

Returns:

high defination master element integration weight of volume/surface quadrature point data

Parameters:

	thee	Pointer to a Re allocated memory location
	m	index of the quadrature points
	f	index for the face types

double Re_x	(	Re *	thee,
		int	m,
		int	i,
		int	f
	)

master element integration point coordinates of volume/surface quadrature point data

Author:

Michael Holst

Note:

Class Re: Non-inlineable methods (Re.c)

Returns:

master element integration point coordinates of volume/surface quadrature point data

Parameters:

	thee	Pointer to a Re allocated memory location
	m	index of the quadrature points
	i	index of polys/coefs
	f	index for the face types

double Re_x_hi	(	Re *	thee,
		int	m,
		int	i,
		int	f
	)

hi-acc master element integration point coordinates of volume/surface quadrature

Author:

Michael Holst

Note:

Class Re: Non-inlineable methods (Re.c)

Returns:

hi-acc master element integration point coordinates of volume/surface quadrature

Parameters:

	thee	Pointer to a Re allocated memory location
	m	index of the quadrature points
	i	index of polys/coefs
	f	index for the face types