starsh-rbf.h File Reference

#include "starsh.h"
#include "starsh-particles.h"

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Data Structures
struct	starsh_mddata
	Structure for mesh deformation problems. More...

Typedefs
typedef struct starsh_mddata	STARSH_mddata
	Structure for mesh deformation problems.

Functions
void	starsh_generate_3d_virus (int nrows, int ncols, STARSH_int *irow, STARSH_int *icol, void *row_data, void *col_data, void *result, int lda)
void	starsh_generate_3d_virus_rhs (STARSH_int mesh_points, double *A)
void	starsh_generate_3d_cube (int nrows, int ncols, STARSH_int *irow, STARSH_int *icol, void *row_data, void *col_data, void *result, int lda)
int	starsh_generate_3d_rbf_mesh_coordinates_virus (STARSH_mddata **data, char *file_name, STARSH_int mesh_points, int ndim, int kernel, int numobj, int isreg, double reg, double rad, double denst, int mordering)
int	starsh_generate_3d_rbf_mesh_coordinates_cube (STARSH_mddata **data, STARSH_int mesh_points, int ndim, int kernel, int isreg, double reg, double rad, int mordering)
void	starsh_mddata_free (STARSH_mddata *data)
	Free memory of STARSH_mddata object. More...
double	Gaussian (double x)
double	Expon (double x)
double	Maternc1 (double x)
double	Maternc2 (double x)
double	QUAD (double x)
double	InvQUAD (double x)
double	InvMQUAD (double x)
double	TPS (double x)
double	Wendland (double x)
double	CTPS (double x)
double	diff (double *x, double *y)
void	cube (double *v, int index, double L, int n)

Detailed Description

Copyright

(c) 2020 King Abdullah University of Science and Technology (KAUST). All rights reserved.

STARS-H is a software package, provided by King Abdullah University of Science and Technology (KAUST)

Version

0.3.0 Rabab Alomairy

Author

Aleksandr Mikhalev

Date

2020-06-09

Function Documentation

CTPS()

double CTPS

(

double

x

)

RBF Continuous Thin plate spline basis function

Parameters

[in]

x

Euclidean distance

cube()

void cube	(	double *	v,
		int	index,
		double	L,
		int	n
	)

Computing cube Coordinates

Parameters

[in,out]	v	Mesh Coordinates
[in]	index	element position
[in]	L	edge length of cube
[in]	n	overall size of cube //TODO ask application pp

diff()

double diff	(	double *	x,
		double *	y
	)

Computing Euclidean distance

Parameters

[in]	x	Mesh Coordinates along x-axis
[in]	y	Mesh Coordinates along y-axis

Expon()

double Expon

(

double

x

)

RBF Exponential basis function

Parameters

[in]

x

Euclidean distance

Gaussian()

double Gaussian

(

double

x

)

RBF Gaussian basis function

Parameters

[in]

x

Euclidean distance

InvMQUAD()

double InvMQUAD

(

double

x

)

RBF Inverse Multi-Quadratic basis function

Parameters

[in]

x

Euclidean distance

InvQUAD()

double InvQUAD

(

double

x

)

RBF Inverse Quadratic basis function

Parameters

[in]

x

Euclidean distance

Maternc1()

double Maternc1

(

double

x

)

RBF Maternc1 basis function

Parameters

[in]

x

Euclidean distance

Maternc2()

double Maternc2

(

double

x

)

RBF Maternc2 basis function

Parameters

[in]

x

Euclidean distance

QUAD()

double QUAD

(

double

x

)

RBF Quadratic basis function

Parameters

[in]

x

Euclidean distance

starsh_generate_3d_cube()

void starsh_generate_3d_cube	(	int	nrows,
		int	ncols,
		STARSH_int *	irow,
		STARSH_int *	icol,
		void *	row_data,
		void *	col_data,
		void *	result,
		int	lda
	)

Fills matrix \( A \) with values

Parameters

[in]	nrows	Number of rows of \( A \).
[in]	ncols	Number of columns of \( A \).
[in]	irow	Array of row indexes.
[in]	icol	Array of column indexes.
[in]	row_data	Pointer to physical data (STARSH_mddata object).
[in]	col_data	Pointer to physical data (STARSH_mddata object).
[out]	result	Pointer to memory of \( A \).
[in]	ld	Leading dimension of result.

starsh_generate_3d_rbf_mesh_coordinates_cube()

int starsh_generate_3d_rbf_mesh_coordinates_cube	(	STARSH_mddata **	data,
		STARSH_int	mesh_points,
		int	ndim,
		int	kernel,
		int	isreg,
		double	reg,
		double	rad,
		int	mordering
	)

It reads mesh pointd fron file

Parameters

[in,out]	data	STARSH_mddata mesh deformation
[in]	mesh	points: number of mesh points
[in]	ndim	problem dimension.
[in]	kernel_type	kernel (0:).
[in]	isreg	it is either 0 or 1 if you want to add regularizer
[in]	reg	regularization value
[in]	rad	RBF scaling factor
[in]	mordering	0: no ordering, 1: Morton ordering.

starsh_generate_3d_rbf_mesh_coordinates_virus()

int starsh_generate_3d_rbf_mesh_coordinates_virus	(	STARSH_mddata **	data,
		char *	file_name,
		STARSH_int	mesh_points,
		int	ndim,
		int	kernel,
		int	numobj,
		int	isreg,
		double	reg,
		double	rad,
		double	denst,
		int	mordering
	)

It reads mesh pointd fron file

Parameters

[in,out]	data	STARSH_mddata mesh deformation
[in]	file_name	path to mesh file
[in]	mesh	points: number of mesh points
[in]	ndim	problem dimension.
[in]	kernel_type	kernel (0:).
[in]	numobj	how many objects (e.g. number of viurese)
[in]	isreg	it is either 0 or 1 if you want to add regularizer
[in]	reg	regularization value
[in]	rad	RBF scaling factor
[in]	denst	density scaling factor
[in]	mordering	0: no ordering, 1: Morton ordering.

starsh_generate_3d_virus()

void starsh_generate_3d_virus	(	int	nrows,
		int	ncols,
		STARSH_int *	irow,
		STARSH_int *	icol,
		void *	row_data,
		void *	col_data,
		void *	result,
		int	lda
	)

Fills matrix \( A \) with values

Parameters

[in]	nrows	Number of rows of \( A \).
[in]	ncols	Number of columns of \( A \).
[in]	irow	Array of row indexes.
[in]	icol	Array of column indexes.
[in]	row_data	Pointer to physical data (STARSH_mddata object).
[in]	col_data	Pointer to physical data (STARSH_mddata object).
[out]	result	Pointer to memory of \( A \).
[in]	ld	Leading dimension of result.

starsh_generate_3d_virus_rhs()

void starsh_generate_3d_virus_rhs	(	STARSH_int	mesh_points,
		double *	A
	)

Fills matrix (RHS) \( A \) with values

Parameters

[in]	ld	Total number of mesh points.
[in,out]	ld	Pointer to memory of \( A \)..

TPS()

double TPS

(

double

x

)

RBF Thin plate spline basis function

Parameters

[in]

x

Euclidean distance

Wendland()

double Wendland

(

double

x

)

RBF Wendland basis function

Parameters

[in]

x

Euclidean distance