vec3.h File Reference

Classes Vec3,Mat3: 3x1 vector and 3x3 dense matrix objects. More...

#include <mc/mc_base.h>

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Typedefs
typedef double	Vec3 [3]
	Vec3 definition. 3x1 vector object.
typedef double	Mat3 [3][3]
	Mat3 definition. 3x3 dense matrix object.
Functions
double	Vec3_nrm1 (Vec3 u)
	1-norm of a 3-vector.
double	Vec3_nrm2 (Vec3 u)
	2-norm of a 3-vector.
double	Vec3_nrm8 (Vec3 u)
	oo-norm of a 3-vector.
double	Vec3_dif1 (Vec3 u, Vec3 v)
	1-norm of a 3-vector.
double	Vec3_dif2 (Vec3 u, Vec3 v)
	2-norm of a 3-vector.
double	Vec3_dif8 (Vec3 u, Vec3 v)
	oo-norm of a 3-vector.
double	Vec3_dot (Vec3 u, Vec3 v)
	dot product of two 3-vectors.
void	Vec3_init (Vec3 u, double val)
	Initialize a 3-vector to be a constant.
void	Vec3_scal (Vec3 u, double val)
	3-vector scale.
void	Vec3_copy (Vec3 u, Vec3 v)
	3-vector copy.
void	Vec3_axpy (Vec3 u, Vec3 v, double val)
	scalar times 3-vector plus 3-vector.
void	Vec3_xcry (Vec3 u, Vec3 v, double *w)
	cross-product of two 3-vectors.
void	Vec3_nrmlize (Vec3 u, double scale)
	normalize a 3-vector.
void	Vec3_nrmlizeNE (Vec3 u, double scale)
	normalize a 3-vector (no error check).
void	Vec3_print (Vec3 u, const char *name)
	print a 3-vector.
void	Vec3_mult (Vec3 u, Mat3 A, Vec3 v)
	multiply a 3-matrix and a 3-vector.
void	Vec3_getCol (Vec3 u, Mat3 A, int col)
	get 3-vector column of a 3-matrix.
void	Vec3_getRow (Vec3 u, Mat3 A, int row)
	get 3-vector row of a 3-matrix.
double	Mat3_nrm1 (Mat3 A)
	1-norm of a 3-matrix.
double	Mat3_nrm2 (Mat3 A)
	2-norm of a 3-matrix.
double	Mat3_nrm8 (Mat3 A)
	oo-norm of a 3-matrix.
double	Mat3_dif1 (Mat3 A, Mat3 B)
	1-norm of difference of two 3-matrices.
double	Mat3_dif2 (Mat3 A, Mat3 B)
	2-norm of difference of two 3-matrices.
double	Mat3_dif8 (Mat3 A, Mat3 B)
	oo-norm of difference of two 3-matrices.
double	Mat3_nrm8Low (Mat3 A)
	oo-norm of lower-triangle of a 3-matrix.
void	Mat3_eye (Mat3 A)
	identity 3-matrix.
void	Mat3_init (Mat3 A, double val)
	initialize a 3-matrix.
void	Mat3_scal (Mat3 A, double val)
	normalize a 3-matrix.
void	Mat3_copy (Mat3 A, Mat3 B)
	copy a 3-matrix.
void	Mat3_axpy (Mat3 A, Mat3 B, double val)
	Saxpy for 3-matrices.
void	Mat3_mult (Mat3 C, Mat3 A, Mat3 B)
	multiply 3-matrices.
void	Mat3_putCol (Mat3 A, Vec3 u, int col)
	put a 3-vector column in a 3-matrix.
void	Mat3_putRow (Mat3 A, Vec3 u, int row)
	put a 3-vector row in a 3-matrix.
void	Mat3_print (Mat3 A, const char *name)
	print a 3-matrix.
double	Mat3_qri (Mat3 V, Mat3 D, Mat3 A)
	QR iteration for 3-matrices.
void	Mat3_gramSch (Mat3 Q, Mat3 R, Mat3 A)
	QR factorization of 3-matrix (via modified Graham-Schmidt).
void	Mat3_qr (Mat3 Q, Mat3 R, Mat3 A)
	a single QR iteration for a 3-matrix.
double	Mat3_det (Mat3 A)
	determinant of a 3-matrix.
void	Mat3_inverse (Mat3 A, Mat3 Ainv)
	inverse of a 3-matrix.

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Detailed Description

Classes Vec3,Mat3: 3x1 vector and 3x3 dense matrix objects.

Author:

Michael Holst

Note:

None

Version:

Id

vec3.h,v 1.4 2009/04/24 22:54:09 fetk Exp

Attention:

 *
 * MC = < Manifold Code >
 * Copyright (C) 1994--2008 Michael Holst
 *
 * This library is free software; you can redistribute it and/or
 * modify it under the terms of the GNU Lesser General Public
 * License as published by the Free Software Foundation; either
 * version 2.1 of the License, or (at your option) any later version.
 *
 * This library 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
 * Lesser General Public License for more details.
 *
 * You should have received a copy of the GNU Lesser General Public
 * License along with this library; if not, write to the Free Software
 * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
 *
 *