BLAS operations for small dense matrices. More...

#include "fasp.h"
#include "fasp_functs.h"

Functions
void	fasp_blas_smat_axm (REAL *a, const INT n, const REAL alpha)
	Compute a = alpha*a (in place) More...

void	fasp_blas_smat_axm1 (REAL a, const INT n, const REAL alpha, REAL b)
	Compute b = alpha*a (in place) More...

void	fasp_blas_smat_add (const REAL a, const REAL b, const INT n, const REAL alpha, const REAL beta, REAL *c)
	Compute c = alphaa + betab. More...

void	fasp_blas_smat_mxv_nc2 (const REAL a, const REAL b, REAL *c)
	Compute the product of a 2*2 matrix a and a array b, stored in c. More...

void	fasp_blas_smat_mxv_nc3 (const REAL a, const REAL b, REAL *c)
	Compute the product of a 3*3 matrix a and a array b, stored in c. More...

void	fasp_blas_smat_mxv_nc4 (const REAL a, const REAL b, REAL *c)
	Compute the product of a 4*4 matrix a and a array b, stored in c. More...

void	fasp_blas_smat_mxv_nc5 (const REAL a, const REAL b, REAL *c)
	Compute the product of a 5*5 matrix a and a array b, stored in c. More...

void	fasp_blas_smat_mxv_nc7 (const REAL a, const REAL b, REAL *c)
	Compute the product of a 7*7 matrix a and a array b, stored in c. More...

void	fasp_blas_smat_mxv (const REAL a, const REAL b, REAL *c, const INT n)
	Compute the product of a small full matrix a and a array b, stored in c. More...

void	fasp_blas_smat_mul_nc2 (const REAL a, const REAL b, REAL *c)
	Compute the matrix product of two 2* matrices a and b, stored in c. More...

void	fasp_blas_smat_mul_nc3 (const REAL a, const REAL b, REAL *c)
	Compute the matrix product of two 3*3 matrices a and b, stored in c. More...

void	fasp_blas_smat_mul_nc4 (const REAL a, const REAL b, REAL *c)
	Compute the matrix product of two 4*4 matrices a and b, stored in c. More...

void	fasp_blas_smat_mul_nc5 (const REAL a, const REAL b, REAL *c)
	Compute the matrix product of two 5*5 matrices a and b, stored in c. More...

void	fasp_blas_smat_mul_nc7 (const REAL a, const REAL b, REAL *c)
	Compute the matrix product of two 7*7 matrices a and b, stored in c. More...

void	fasp_blas_smat_mul (const REAL a, const REAL b, REAL *c, const INT n)
	Compute the matrix product of two small full matrices a and b, stored in c. More...

void	fasp_blas_smat_ypAx_nc2 (const REAL A, const REAL x, REAL *y)
	Compute y := y + Ax, where 'A' is a 2*2 dense matrix. More...

void	fasp_blas_smat_ypAx_nc3 (const REAL A, const REAL x, REAL *y)
	Compute y := y + Ax, where 'A' is a 3*3 dense matrix. More...

void	fasp_blas_smat_ypAx_nc4 (const REAL A, const REAL x, REAL *y)
	Compute y := y + Ax, where 'A' is a 4*4 dense matrix. More...

void	fasp_blas_smat_ypAx_nc5 (const REAL A, const REAL x, REAL *y)
	Compute y := y + Ax, where 'A' is a 5*5 dense matrix. More...

void	fasp_blas_smat_ypAx_nc7 (const REAL A, const REAL x, REAL *y)
	Compute y := y + Ax, where 'A' is a 7*7 dense matrix. More...

void	fasp_blas_smat_ypAx (const REAL A, const REAL x, REAL *y, const INT n)
	Compute y := y + Ax, where 'A' is a n*n dense matrix. More...

void	fasp_blas_smat_ymAx_nc2 (const REAL A, const REAL x, REAL *y)
	Compute y := y - Ax, where 'A' is a 2*2 dense matrix. More...

void	fasp_blas_smat_ymAx_nc3 (const REAL A, const REAL x, REAL *y)
	Compute y := y - Ax, where 'A' is a 3*3 dense matrix. More...

void	fasp_blas_smat_ymAx_nc4 (const REAL A, const REAL x, REAL *y)
	Compute y := y - Ax, where 'A' is a 4*4 dense matrix. More...

void	fasp_blas_smat_ymAx_nc5 (const REAL A, const REAL x, REAL *y)
	Compute y := y - Ax, where 'A' is a 5*5 dense matrix. More...

void	fasp_blas_smat_ymAx_nc7 (const REAL A, const REAL x, REAL *y)
	Compute y := y - Ax, where 'A' is a 7*7 dense matrix. More...

void	fasp_blas_smat_ymAx (const REAL A, const REAL x, REAL *y, const INT n)
	Compute y := y - Ax, where 'A' is a n*n dense matrix. More...

void	fasp_blas_smat_aAxpby (const REAL alpha, const REAL A, const REAL x, const REAL beta, REAL *y, const INT n)
	Compute y:=alphaAx + beta*y. More...

Detailed Description

BLAS operations for small dense matrices.

Note: This file contains Level-1 (Bla) functions. It requires: BlaSparseBSR.c, BlaSparseCSR.c, BlaSpmvCSR.c, and PreDataInit.c

Released under the terms of the GNU Lesser General Public License 3.0 or later.

Warning: These rountines are designed for full matrices only!; This file contains very long lines. Not print friendly!

Definition in file BlaSmallMat.c.

Function Documentation

◆ fasp_blas_smat_aAxpby()

void fasp_blas_smat_aAxpby	(	const REAL	alpha,
		const REAL *	A,
		const REAL *	x,
		const REAL	beta,
		REAL *	y,
		const INT	n
	)

Compute y:=alpha*A*x + beta*y.

Parameters

alpha	REAL factor alpha
A	Pointer to the REAL array which stands for a n*n full matrix
x	Pointer to the REAL array with length n
beta	REAL factor beta
y	Pointer to the REAL array with length n
n	Length of array x and y

Author: Zhiyang Zhou, Chensong Zhang

Date: 2010/10/25

Definition at line 1140 of file BlaSmallMat.c.

◆ fasp_blas_smat_add()

void fasp_blas_smat_add	(	const REAL *	a,
		const REAL *	b,
		const INT	n,
		const REAL	alpha,
		const REAL	beta,
		REAL *	c
	)

Compute c = alpha*a + beta*b.

Parameters

a	Pointer to the REAL array which stands a n*n matrix
b	Pointer to the REAL array which stands a n*n matrix
n	Dimension of the matrix
alpha	Scalar
beta	Scalar
c	Pointer to the REAL array which stands a n*n matrix

Author: Xiaozhe Hu, Chensong Zhang

Date: 05/26/2014

Definition at line 86 of file BlaSmallMat.c.

◆ fasp_blas_smat_axm()

void fasp_blas_smat_axm	(	REAL *	a,
		const INT	n,
		const REAL	alpha
	)

Compute a = alpha*a (in place)

Parameters

a	Pointer to the REAL array which stands a n*n matrix
n	Dimension of the matrix
alpha	Scalar

Author: Xiaozhe Hu, Chensong Zhang

Date: 05/26/2014

Definition at line 37 of file BlaSmallMat.c.

◆ fasp_blas_smat_axm1()

void fasp_blas_smat_axm1	(	REAL *	a,
		const INT	n,
		const REAL	alpha,
		REAL *	b
	)

Compute b = alpha*a (in place)

Parameters

a	Pointer to the REAL array which stands a n*n matrix
b	OUT: Pointer to the REAL array which stands a n*n matrix
n	Dimension of the matrix
alpha	Scalar

Author: Li Zhao

Date: 07/03/2023

Definition at line 60 of file BlaSmallMat.c.

◆ fasp_blas_smat_mul()

void fasp_blas_smat_mul	(	const REAL *	a,
		const REAL *	b,
		REAL *	c,
		const INT	n
	)

Compute the matrix product of two small full matrices a and b, stored in c.

Parameters

a	Pointer to the REAL array which stands a n*n matrix
b	Pointer to the REAL array which stands a n*n matrix
c	Pointer to the REAL array which stands a n*n matrix
n	Dimension of the matrix

Author: Xiaozhe Hu, Shiquan Zhang

Date: 04/21/2010

Author: Li Zhao, the case of adding n = 4

Date: 04/18/2021

Definition at line 596 of file BlaSmallMat.c.

◆ fasp_blas_smat_mul_nc2()

void fasp_blas_smat_mul_nc2	(	const REAL *	a,
		const REAL *	b,
		REAL *	c
	)

Compute the matrix product of two 2* matrices a and b, stored in c.

Parameters

a	Pointer to the REAL array which stands a n*n matrix
b	Pointer to the REAL array which stands a n*n matrix
c	Pointer to the REAL array which stands a n*n matrix

Author: Xiaozhe Hu

Date: 18/11/2011

Definition at line 289 of file BlaSmallMat.c.

◆ fasp_blas_smat_mul_nc3()

void fasp_blas_smat_mul_nc3	(	const REAL *	a,
		const REAL *	b,
		REAL *	c
	)

Compute the matrix product of two 3*3 matrices a and b, stored in c.

Parameters

a	Pointer to the REAL array which stands a n*n matrix
b	Pointer to the REAL array which stands a n*n matrix
c	Pointer to the REAL array which stands a n*n matrix

Author: Xiaozhe Hu, Shiquan Zhang

Date: 05/01/2010

Definition at line 315 of file BlaSmallMat.c.

◆ fasp_blas_smat_mul_nc4()

void fasp_blas_smat_mul_nc4	(	const REAL *	a,
		const REAL *	b,
		REAL *	c
	)

Compute the matrix product of two 4*4 matrices a and b, stored in c.

Parameters

a	Pointer to the REAL array which stands a n*n matrix
b	Pointer to the REAL array which stands a n*n matrix
c	Pointer to the REAL array which stands a n*n matrix

Author: Li Zhao

Date: 04/18/2021

Definition at line 350 of file BlaSmallMat.c.

◆ fasp_blas_smat_mul_nc5()

void fasp_blas_smat_mul_nc5	(	const REAL *	a,
		const REAL *	b,
		REAL *	c
	)

Compute the matrix product of two 5*5 matrices a and b, stored in c.

Parameters

a	Pointer to the REAL array which stands a 5*5 matrix
b	Pointer to the REAL array which stands a 5*5 matrix
c	Pointer to the REAL array which stands a 5*5 matrix

Author: Xiaozhe Hu, Shiquan Zhang

Date: 05/01/2010

Definition at line 395 of file BlaSmallMat.c.

◆ fasp_blas_smat_mul_nc7()

void fasp_blas_smat_mul_nc7	(	const REAL *	a,
		const REAL *	b,
		REAL *	c
	)

Compute the matrix product of two 7*7 matrices a and b, stored in c.

Parameters

a	Pointer to the REAL array which stands a 7*7 matrix
b	Pointer to the REAL array which stands a 7*7 matrix
c	Pointer to the REAL array which stands a 7*7 matrix

Author: Xiaozhe Hu, Shiquan Zhang

Date: 05/01/2010

Definition at line 452 of file BlaSmallMat.c.

◆ fasp_blas_smat_mxv()

void fasp_blas_smat_mxv	(	const REAL *	a,
		const REAL *	b,
		REAL *	c,
		const INT	n
	)

Compute the product of a small full matrix a and a array b, stored in c.

Parameters

a	Pointer to the REAL array which stands a n*n matrix
b	Pointer to the REAL array with length n
c	Pointer to the REAL array with length n
n	Dimension of the matrix

Author: Xiaozhe Hu, Shiquan Zhang

Date: 04/21/2010

Author: Li Zhao, the case of adding n = 4

Date: 04/18/2021

Definition at line 238 of file BlaSmallMat.c.

◆ fasp_blas_smat_mxv_nc2()

void fasp_blas_smat_mxv_nc2	(	const REAL *	a,
		const REAL *	b,
		REAL *	c
	)

Compute the product of a 2*2 matrix a and a array b, stored in c.

Parameters

a	Pointer to the REAL array which stands a 2*2 matrix
b	Pointer to the REAL array with length 2
c	Pointer to the REAL array with length 2

Author: Xiaozhe Hu

Date: 18/11/2010

Definition at line 113 of file BlaSmallMat.c.

◆ fasp_blas_smat_mxv_nc3()

void fasp_blas_smat_mxv_nc3	(	const REAL *	a,
		const REAL *	b,
		REAL *	c
	)

Compute the product of a 3*3 matrix a and a array b, stored in c.

Parameters

a	Pointer to the REAL array which stands a 3*3 matrix
b	Pointer to the REAL array with length 3
c	Pointer to the REAL array with length 3

Author: Xiaozhe Hu, Shiquan Zhang

Date: 05/01/2010

Definition at line 133 of file BlaSmallMat.c.

◆ fasp_blas_smat_mxv_nc4()

void fasp_blas_smat_mxv_nc4	(	const REAL *	a,
		const REAL *	b,
		REAL *	c
	)

Compute the product of a 4*4 matrix a and a array b, stored in c.

Parameters

a	Pointer to the REAL array which stands a 4*4 matrix
b	Pointer to the REAL array with length 4
c	Pointer to the REAL array with length 4

Author: Li Zhao

Date: 04/18/2021

Definition at line 154 of file BlaSmallMat.c.

◆ fasp_blas_smat_mxv_nc5()

void fasp_blas_smat_mxv_nc5	(	const REAL *	a,
		const REAL *	b,
		REAL *	c
	)

Compute the product of a 5*5 matrix a and a array b, stored in c.

Parameters

a	Pointer to the REAL array which stands a 5*5 matrix
b	Pointer to the REAL array with length 5
c	Pointer to the REAL array with length 5

Author: Xiaozhe Hu, Shiquan Zhang

Date: 05/01/2010

Definition at line 176 of file BlaSmallMat.c.

◆ fasp_blas_smat_mxv_nc7()

void fasp_blas_smat_mxv_nc7	(	const REAL *	a,
		const REAL *	b,
		REAL *	c
	)

Compute the product of a 7*7 matrix a and a array b, stored in c.

Parameters

a	Pointer to the REAL array which stands a 7*7 matrix
b	Pointer to the REAL array with length 7
c	Pointer to the REAL array with length 7

Author: Xiaozhe Hu, Shiquan Zhang

Date: 05/01/2010

Definition at line 200 of file BlaSmallMat.c.

◆ fasp_blas_smat_ymAx()

void fasp_blas_smat_ymAx	(	const REAL *	A,
		const REAL *	x,
		REAL *	y,
		const INT	n
	)

Compute y := y - Ax, where 'A' is a n*n dense matrix.

Parameters

A	Pointer to the n*n dense matrix
x	Pointer to the REAL array with length n
y	Pointer to the REAL array with length n
n	the dimension of the dense matrix

Author: Zhiyang Zhou, Xiaozhe Hu, Chensong Zhang

Date: 2010/10/25

Modified by Chensong Zhang on 01/25/2017

Definition at line 1028 of file BlaSmallMat.c.

◆ fasp_blas_smat_ymAx_nc2()

void fasp_blas_smat_ymAx_nc2	(	const REAL *	A,
		const REAL *	x,
		REAL *	y
	)

Compute y := y - Ax, where 'A' is a 2*2 dense matrix.

Parameters

A	Pointer to the 2*2 dense matrix
x	Pointer to the REAL array with length 3
y	Pointer to the REAL array with length 3

Author: Xiaozhe Hu

Date: 18/11/2011

Note: Works for 2-component

Definition at line 889 of file BlaSmallMat.c.

◆ fasp_blas_smat_ymAx_nc3()

void fasp_blas_smat_ymAx_nc3	(	const REAL *	A,
		const REAL *	x,
		REAL *	y
	)

Compute y := y - Ax, where 'A' is a 3*3 dense matrix.

Parameters

A	Pointer to the 3*3 dense matrix
x	Pointer to the REAL array with length 3
y	Pointer to the REAL array with length 3

Author: Xiaozhe Hu, Zhiyang Zhou

Date: 01/06/2011

Note: Works for 3-component

Definition at line 913 of file BlaSmallMat.c.

◆ fasp_blas_smat_ymAx_nc4()

void fasp_blas_smat_ymAx_nc4	(	const REAL *	A,
		const REAL *	x,
		REAL *	y
	)

Compute y := y - Ax, where 'A' is a 4*4 dense matrix.

Parameters

A	Pointer to the 4*4 dense matrix
x	Pointer to the REAL array with length 4
y	Pointer to the REAL array with length 4

Author: Li Zhao

Date: 04/18/2021

Note: Works for 4-component

Definition at line 938 of file BlaSmallMat.c.

◆ fasp_blas_smat_ymAx_nc5()

void fasp_blas_smat_ymAx_nc5	(	const REAL *	A,
		const REAL *	x,
		REAL *	y
	)

Compute y := y - Ax, where 'A' is a 5*5 dense matrix.

Parameters

A	Pointer to the 5*5 dense matrix
x	Pointer to the REAL array with length 5
y	Pointer to the REAL array with length 5

Author: Xiaozhe Hu, Zhiyang Zhou

Date: 01/06/2011

Note: Works for 5-component

Definition at line 963 of file BlaSmallMat.c.

◆ fasp_blas_smat_ymAx_nc7()

void fasp_blas_smat_ymAx_nc7	(	const REAL *	A,
		const REAL *	x,
		REAL *	y
	)

Compute y := y - Ax, where 'A' is a 7*7 dense matrix.

Parameters

A	Pointer to the 7*7 dense matrix
x	Pointer to the REAL array with length 7
y	Pointer to the REAL array with length 7

Author: Xiaozhe Hu, Zhiyang Zhou

Date: 01/06/2011

Note: Works for 7-component

Definition at line 990 of file BlaSmallMat.c.

◆ fasp_blas_smat_ypAx()

void fasp_blas_smat_ypAx	(	const REAL *	A,
		const REAL *	x,
		REAL *	y,
		const INT	n
	)

Compute y := y + Ax, where 'A' is a n*n dense matrix.

Parameters

A	Pointer to the n*n dense matrix
x	Pointer to the REAL array with length n
y	Pointer to the REAL array with length n
n	Dimension of the dense matrix

Author: Zhiyang Zhou, Chensong Zhang

Date: 2010/10/25

Modified by Chensong Zhang on 01/25/2017

Definition at line 779 of file BlaSmallMat.c.

◆ fasp_blas_smat_ypAx_nc2()

void fasp_blas_smat_ypAx_nc2	(	const REAL *	A,
		const REAL *	x,
		REAL *	y
	)

Compute y := y + Ax, where 'A' is a 2*2 dense matrix.

Parameters

A	Pointer to the 3*3 dense matrix
x	Pointer to the REAL array with length 3
y	Pointer to the REAL array with length 3

Author: Xiaozhe Hu

Date: 2011/11/18

Definition at line 651 of file BlaSmallMat.c.

◆ fasp_blas_smat_ypAx_nc3()

void fasp_blas_smat_ypAx_nc3	(	const REAL *	A,
		const REAL *	x,
		REAL *	y
	)

Compute y := y + Ax, where 'A' is a 3*3 dense matrix.

Parameters

A	Pointer to the 3*3 dense matrix
x	Pointer to the REAL array with length 3
y	Pointer to the REAL array with length 3

Author: Zhiyang Zhou, Xiaozhe Hu

Date: 2010/10/25

Definition at line 673 of file BlaSmallMat.c.

◆ fasp_blas_smat_ypAx_nc4()

void fasp_blas_smat_ypAx_nc4	(	const REAL *	A,
		const REAL *	x,
		REAL *	y
	)

Compute y := y + Ax, where 'A' is a 4*4 dense matrix.

Parameters

A	Pointer to the 4*4 dense matrix
x	Pointer to the REAL array with length 4
y	Pointer to the REAL array with length 4

Author: Li Zhao

Date: 2021/04/18

Definition at line 695 of file BlaSmallMat.c.

◆ fasp_blas_smat_ypAx_nc5()

void fasp_blas_smat_ypAx_nc5	(	const REAL *	A,
		const REAL *	x,
		REAL *	y
	)

Compute y := y + Ax, where 'A' is a 5*5 dense matrix.

Parameters

A	Pointer to the 5*5 dense matrix
x	Pointer to the REAL array with length 5
y	Pointer to the REAL array with length 5

Author: Zhiyang Zhou, Xiaozhe Hu, Chensong Zhang

Date: 2010/10/25

Definition at line 718 of file BlaSmallMat.c.

◆ fasp_blas_smat_ypAx_nc7()

void fasp_blas_smat_ypAx_nc7	(	const REAL *	A,
		const REAL *	x,
		REAL *	y
	)

Compute y := y + Ax, where 'A' is a 7*7 dense matrix.

Parameters

A	Pointer to the 7*7 dense matrix
x	Pointer to the REAL array with length 7
y	Pointer to the REAL array with length 7

Author: Zhiyang Zhou, Xiaozhe Hu, Chensong Zhang

Date: 2010/10/25

Definition at line 742 of file BlaSmallMat.c.

Functions

Detailed Description

Released under the terms of the GNU Lesser General Public License 3.0 or later.

Function Documentation

◆ fasp_blas_smat_aAxpby()

◆ fasp_blas_smat_add()

◆ fasp_blas_smat_axm()

◆ fasp_blas_smat_axm1()

◆ fasp_blas_smat_mul()

◆ fasp_blas_smat_mul_nc2()

◆ fasp_blas_smat_mul_nc3()

◆ fasp_blas_smat_mul_nc4()

◆ fasp_blas_smat_mul_nc5()

◆ fasp_blas_smat_mul_nc7()

◆ fasp_blas_smat_mxv()

◆ fasp_blas_smat_mxv_nc2()

◆ fasp_blas_smat_mxv_nc3()

◆ fasp_blas_smat_mxv_nc4()

◆ fasp_blas_smat_mxv_nc5()

◆ fasp_blas_smat_mxv_nc7()

◆ fasp_blas_smat_ymAx()

◆ fasp_blas_smat_ymAx_nc2()

◆ fasp_blas_smat_ymAx_nc3()

◆ fasp_blas_smat_ymAx_nc4()

◆ fasp_blas_smat_ymAx_nc5()

◆ fasp_blas_smat_ymAx_nc7()

◆ fasp_blas_smat_ypAx()

◆ fasp_blas_smat_ypAx_nc2()

◆ fasp_blas_smat_ypAx_nc3()

◆ fasp_blas_smat_ypAx_nc4()

◆ fasp_blas_smat_ypAx_nc5()

◆ fasp_blas_smat_ypAx_nc7()