AlgVectorMath.c File Reference

Basic vector arithmatic. More...

Functions
void	AlgVectorZero (double *aV, size_t n)
	sets all elements of the given vector to zero. More...
double	AlgVectorNorm (double *aV, size_t n)
	Computes the norm of the given vector \(\mathbf{a}\) with n elements: \[ \|\mathbf{a}\| = \sqrt{\mathbf{a} \cdot \mathbf{a}}. \] . More...
double	AlgVectorDot (double *aV, double *bV, size_t n)
	Computes the scalar (dot) product of the two vectors \(\mathbf{a}\) and \(\mathbf{b}\) each with n elements: \[ \mathbf{a} \cdot \mathbf{b} = \sum_{i = 0}^{n - 1}{a_i b_i} \] . More...
void	AlgVectorAdd (double *aV, double *bV, double *cV, size_t n)
	Adds vector \(\mathbf{b}\) to vector \(\mathbf{c}\). Computes \(a_i = b_i + c_i, \forall i \in [0 \ldots n - 1]\). More...
void	AlgVectorSub (double *aV, double *bV, double *cV, size_t n)
	Subtracts vector \(\mathbf{c}\) from vector \(\mathbf{b}\). Computes \(a_i = b_i - c_i, \forall i \in [0 \ldots n - 1]\). More...
void	AlgVectorCopy (double *aV, double *bV, size_t n)
	Copies one vector \(\mathbf{b}\) to vector \(\mathbf{a}\). \(a_i = b_i, \forall i \in [0 \ldots n - 1]\). More...
void	AlgVectorScale (double *aV, double *bV, double s, size_t n)
	Scales a vector \(\mathbf{b}\). Computes \(a_i = b_i s, \forall i \in [0\ldots n - 1]\). More...
void	AlgVectorScaleAdd (double *aV, double *bV, double *cV, double s, size_t n)
	Scales a vector \(\mathbf{b}\) and then adds vector \(\mathbf{c}\). Computes \(a_i = b_i s + c_i, \forall i \in [0\ldots n - 1]\). More...

Detailed Description

Basic vector arithmatic.

Author

Bill Hill

Date

March 2003

Version

Id

814826980b2ebe51ef68b935666c3c39d7beff3f

Address: MRC Human Genetics Unit, MRC Institute of Genetics and Molecular Medicine, University of Edinburgh, Western General Hospital, Edinburgh, EH4 2XU, UK.

Copyright (C), [2012], The University Court of the University of Edinburgh, Old College, Edinburgh, UK.

This program is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 2 of the License, or (at your option) any later version.

This program is distributed in the hope that it will be useful but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details.

You should have received a copy of the GNU General Public License along with this program; if not, write to the Free Software Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.

Function Documentation

AlgVectorScale()

void AlgVectorScale	(	double *	aV,
		double *	bV,
		double	s,
		size_t	n
	)

Scales a vector \(\mathbf{b}\). Computes \(a_i = b_i s, \forall i \in [0\ldots n - 1]\).

Returns

Note

For efficiency the given parameters are not checked.

Vector size is limited only by address space.

Parameters

aV	Vector \(\mathbf{a}\).
bV	Vector \(\mathbf{b}\).
s	Scalar scale \(s\).
n	Number of elements in each of the vectors.

Referenced by AlgMatrixScale(), and AlgMatrixSolveLSQR().

AlgVectorScaleAdd()

void AlgVectorScaleAdd	(	double *	aV,
		double *	bV,
		double *	cV,
		double	s,
		size_t	n
	)

Scales a vector \(\mathbf{b}\) and then adds vector \(\mathbf{c}\). Computes \(a_i = b_i s + c_i, \forall i \in [0\ldots n - 1]\).

Returns

Note

For efficiency the given parameters are not checked.

Vector size is limited only by address space.

Parameters

aV	Vector \(\mathbf{a}\).
bV	Vector \(\mathbf{b}\).
cV	Vector \(\mathbf{c}\).
s	Scalar scale \(s\).
n	Number of elements in each of the vectors.

Referenced by AlgMatrixCGSolve().