blas_level_2.c File Reference

#include <math.h>
#include <unistd.h>
#include <stdio.h>
#include <string.h>
#include <stdlib.h>
#include <grass/gmath.h>
#include <grass/gis.h>

Include dependency graph for blas_level_2.c:

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Macros
#define	EPSILON   0.00000000000000001

Functions
void	G_math_d_Ax (double **A, double *x, double *y, int rows, int cols)
	Compute the matrix - vector product of matrix A and vector x. More...
void	G_math_f_Ax (float **A, float *x, float *y, int rows, int cols)
	Compute the matrix - vector product of matrix A and vector x. More...
void	G_math_d_x_dyad_y (double *x, double *y, double **A, int rows, int cols)
	Compute the dyadic product of two vectors. The result is stored in the matrix A. More...
void	G_math_f_x_dyad_y (float *x, float *y, float **A, int rows, int cols)
	Compute the dyadic product of two vectors. The result is stored in the matrix A. More...
void	G_math_d_aAx_by (double **A, double *x, double *y, double a, double b, double *z, int rows, int cols)
	Compute the scaled matrix - vector product of matrix double **A and vector x and y. More...
void	G_math_f_aAx_by (float **A, float *x, float *y, float a, float b, float *z, int rows, int cols)
	Compute the scaled matrix - vector product of matrix A and vectors x and y. More...
int	G_math_d_A_T (double **A, int rows)
	Compute the transposition of matrix A. Matrix A will be overwritten. More...
int	G_math_f_A_T (float **A, int rows)
	Compute the transposition of matrix A. Matrix A will be overwritten. More...

Macro Definition Documentation

EPSILON

#define EPSILON   0.00000000000000001

Definition at line 26 of file blas_level_2.c.

Function Documentation

G_math_d_A_T()

int G_math_d_A_T	(	double **	A,
		int	rows
	)

Compute the transposition of matrix A. Matrix A will be overwritten.

This function is multi-threaded with OpenMP and can be called within a parallel OpenMP region.

Returns 0.

Parameters

A	(double **)
rows	(int)

Returns

int

Definition at line 342 of file blas_level_2.c.

G_math_d_aAx_by()

void G_math_d_aAx_by	(	double **	A,
		double *	x,
		double *	y,
		double	a,
		double	b,
		double *	z,
		int	rows,
		int	cols
	)

Compute the scaled matrix - vector product of matrix double **A and vector x and y.

z = a * A * x + b * y

This function is multi-threaded with OpenMP and can be called within a parallel OpenMP region.

Parameters

A	(double **)
x	(double *)
y	(double *)
a	(double)
b	(double)
z	(double *)
rows	(int)
cols	(int)

Returns

(void)

Definition at line 182 of file blas_level_2.c.

G_math_d_Ax()

void G_math_d_Ax	(	double **	A,
		double *	x,
		double *	y,
		int	rows,
		int	cols
	)

Compute the matrix - vector product of matrix A and vector x.

This function is multi-threaded with OpenMP and can be called within a parallel OpenMP region.

y = A * x

Parameters

A	(double ** )
x	(double *)
y	(double *)
rows	(int)
cols	(int)

Returns

(void)

Definition at line 46 of file blas_level_2.c.

Referenced by N_les_integrate_dirichlet_2d(), and N_les_integrate_dirichlet_3d().

G_math_d_x_dyad_y()

void G_math_d_x_dyad_y	(	double *	x,
		double *	y,
		double **	A,
		int	rows,
		int	cols
	)

Compute the dyadic product of two vectors. The result is stored in the matrix A.

This function is multi-threaded with OpenMP and can be called within a parallel OpenMP region.

A = x * y^T

Parameters

x	(double *)
y	(double *)
A	(float **) – matrix of size rows*cols
rows	(int) – length of vector x
cols	(int) – length of vector y

Returns

(void)

Definition at line 116 of file blas_level_2.c.

G_math_f_A_T()

int G_math_f_A_T	(	float **	A,
		int	rows
	)

Compute the transposition of matrix A. Matrix A will be overwritten.

This function is multi-threaded with OpenMP and can be called within a parallel OpenMP region.

Returns 0.

Parameters

A	(float **)
rows	(int)

Returns

int

Definition at line 376 of file blas_level_2.c.

G_math_f_aAx_by()

void G_math_f_aAx_by	(	float **	A,
		float *	x,
		float *	y,
		float	a,
		float	b,
		float *	z,
		int	rows,
		int	cols
	)

Compute the scaled matrix - vector product of matrix A and vectors x and y.

z = a * A * x + b * y

This function is multi-threaded with OpenMP and can be called within a parallel OpenMP region.

Parameters

A	(float **)
x	(float *)
y	(float *)
a	(float)
b	(float)
z	(float *)
rows	(int)
cols	(int)

Returns

(void)

Definition at line 265 of file blas_level_2.c.

G_math_f_Ax()

void G_math_f_Ax	(	float **	A,
		float *	x,
		float *	y,
		int	rows,
		int	cols
	)

Compute the matrix - vector product of matrix A and vector x.

This function is multi-threaded with OpenMP and can be called within a parallel OpenMP region.

y = A * x

Parameters

A	(float ** )
x	(float *)
y	(float *)
rows	(int)
cols	(int)

Returns

(void)

Definition at line 81 of file blas_level_2.c.

G_math_f_x_dyad_y()

void G_math_f_x_dyad_y	(	float *	x,
		float *	y,
		float **	A,
		int	rows,
		int	cols
	)

Compute the dyadic product of two vectors. The result is stored in the matrix A.

This function is multi-threaded with OpenMP and can be called within a parallel OpenMP region.

A = x * y^T

Parameters

x	(float *)
y	(float *)
A	(float **= – matrix of size rows*cols
rows	(int) – length of vector x
cols	(int) – length of vector y

Returns

(void)

Definition at line 147 of file blas_level_2.c.