math_fce.h File Reference

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#include <float.h>

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Macros
#define	NUM_ZERO   DBL_MIN/DBL_EPSILON
	Numerical helpers. More...
#define	EPS(value)   (value)
#define	ZERO   EPS(1e-12)
#define	DBL_EQ(i, j)   (fabs((i)-(j))<NUM_ZERO)
#define	DBL_GE(i, j)   ((i)>(j)-NUM_ZERO)
#define	DBL_LE(i, j)   ((i)<(j)+NUM_ZERO)
#define	DBL_GT(i, j)   ((i)>(j)+NUM_ZERO)
#define	DBL_LT(i, j)   ((i)<(j)-NUM_ZERO)
#define	SQUARE(x)   ((x) * (x))
	Usefull math macros. More...
#define	SGN(x)   ( ((x)>ZERO)? (1) : ( ((x)<(-ZERO))? (-1) : (0) ) )
#define	SUBDET2(i, j, k, l)   (a[(i)][(k)]*a[(j)][(l)]-a[(i)][(l)]*a[(j)][(k)])
#define	M_PI   3.14159265358979323846264338327950288f

Typedefs
typedef double	SmallVec1_t[1]
	small matrix types More...
typedef double	SmallVec2_t[2]
typedef double	SmallVec3_t[3]
typedef double	SmallVec4_t[4]
typedef SmallVec1_t *	SmallMtx1
typedef SmallVec2_t *	SmallMtx2
typedef SmallVec3_t *	SmallMtx3
typedef SmallVec4_t *	SmallMtx4

Functions
double	vector_length (double[])
double	scalar_product (double[], double[])
void	normalize_vector (double[])
void	scale_vector (double[], double)
void	vector_product (double[], double[], double[])
void	vector_difference (double[], double[], double[])
double	Det3 (SmallMtx3 a)
double	MatrixInverse (double *a, double *b, int size)
void	PrintSmallMatrix (double *mtx, int size)

Detailed Description

 * Copyright (C) 2015 Technical University of Liberec. All rights reserved.

This program is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License version 3 as published by the Free Software Foundation. (http://www.gnu.org/licenses/gpl-3.0.en.html)

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.

Definition in file math_fce.h.

Macro Definition Documentation

DBL_EQ

#define DBL_EQ	(		i,
			j
	)		(fabs((i)-(j))<NUM_ZERO)

Definition at line 50 of file math_fce.h.

DBL_GE

#define DBL_GE	(		i,
			j
	)		((i)>(j)-NUM_ZERO)

Definition at line 51 of file math_fce.h.

DBL_GT

#define DBL_GT	(		i,
			j
	)		((i)>(j)+NUM_ZERO)

Definition at line 53 of file math_fce.h.

DBL_LE

#define DBL_LE	(		i,
			j
	)		((i)<(j)+NUM_ZERO)

Definition at line 52 of file math_fce.h.

DBL_LT

#define DBL_LT	(		i,
			j
	)		((i)<(j)-NUM_ZERO)

Definition at line 54 of file math_fce.h.

EPS

#define EPS

(

value

)

(value)

Definition at line 45 of file math_fce.h.

M_PI

#define M_PI   3.14159265358979323846264338327950288f

Definition at line 61 of file math_fce.h.

NUM_ZERO

#define NUM_ZERO   DBL_MIN/DBL_EPSILON

Numerical helpers.

Definition at line 41 of file math_fce.h.

SGN

#define SGN

(

x

)

( ((x)>ZERO)? (1) : ( ((x)<(-ZERO))? (-1) : (0) ) )

Definition at line 58 of file math_fce.h.

SQUARE

#define SQUARE

(

x

)

((x) * (x))

Usefull math macros.

Definition at line 57 of file math_fce.h.

SUBDET2

#define SUBDET2	(		i,
			j,
			k,
			l
	)		(a[(i)][(k)]*a[(j)][(l)]-a[(i)][(l)]*a[(j)][(k)])

Definition at line 59 of file math_fce.h.

ZERO

#define ZERO   EPS(1e-12)

Definition at line 48 of file math_fce.h.

Typedef Documentation

SmallMtx1

typedef SmallVec1_t* SmallMtx1

Definition at line 29 of file math_fce.h.

SmallMtx2

typedef SmallVec2_t* SmallMtx2

Definition at line 30 of file math_fce.h.

SmallMtx3

typedef SmallVec3_t* SmallMtx3

Definition at line 31 of file math_fce.h.

SmallMtx4

typedef SmallVec4_t* SmallMtx4

Definition at line 32 of file math_fce.h.

SmallVec1_t

typedef double SmallVec1_t[1]

small matrix types

Definition at line 24 of file math_fce.h.

SmallVec2_t

typedef double SmallVec2_t[2]

Definition at line 25 of file math_fce.h.

SmallVec3_t

typedef double SmallVec3_t[3]

Definition at line 26 of file math_fce.h.

SmallVec4_t

typedef double SmallVec4_t[4]

Definition at line 27 of file math_fce.h.

Function Documentation

Det3()

double Det3

(

SmallMtx3

a

)

Definition at line 94 of file math_fce.cc.

MatrixInverse()

double MatrixInverse	(	double *	a,
		double *	b,
		int	size
	)

Definition at line 104 of file math_fce.cc.

normalize_vector()

void normalize_vector

(

double

u[]

)

Definition at line 48 of file math_fce.cc.

PrintSmallMatrix()

void PrintSmallMatrix	(	double *	mtx,
		int	size
	)

Definition at line 214 of file math_fce.cc.

scalar_product()

double scalar_product	(	double	u[],
		double	v[]
	)

Definition at line 41 of file math_fce.cc.

scale_vector()

void scale_vector	(	double	u[],
		double	k
	)

Definition at line 60 of file math_fce.cc.

vector_difference()

void vector_difference	(	double	u[],
		double	v[],
		double	x[]
	)

Definition at line 80 of file math_fce.cc.

vector_length()

double vector_length

(

double

v[]

)

Definition at line 34 of file math_fce.cc.

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vector_product()

void vector_product	(	double	u[],
		double	v[],
		double	x[]
	)

Definition at line 68 of file math_fce.cc.