cs_math.h File Reference

#include "cs_defs.h"

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Functions
void	symmetric_matrix_inverse (const cs_real_6_t s, cs_real_6_t sout)
void	symmetric_matrix_product (const cs_real_6_t s1, const cs_real_6_t s2, cs_real_6_t sout)
static void	cs_math_33_3_product (const cs_real_t m[3][3], const cs_real_t v[3], cs_real_3_t mv)
	Compute the product of a matrix of 3x3 real values by a vector of 3 real values. More...
static void	cs_math_sym_33_3_product (const cs_real_t m[6], const cs_real_t v[3], cs_real_t mv[restrict 3])
	Compute the product of a symmetric matrix of 3x3 real values by a vector of 3 real values. NB: Symmetric matrix are stored as follows (s11, s22, s33, s12, s23, s13) More...
static cs_real_t	cs_math_3_dot_product (const cs_real_t u[3], const cs_real_t v[3])
	Compute the dot product of two vectors of 3 real values. More...
static cs_real_t	cs_math_3_square_norm (const cs_real_t v[3])
	Compute the square norm of a vector of 3 real values. More...
static void	cs_math_sym_33_inv_cramer (const cs_real_t s[6], cs_real_t sout[restrict 6])
	Compute the inverse of a symmetric matrix using Cramer's rule. More...
static void	cs_math_sym_33_product (const cs_real_t s1[6], const cs_real_t s2[6], cs_real_t sout[restrict 6])
	Compute the product of two symmetric matrices. More...
static void	cs_math_sym_33_double_product (const cs_real_t s1[6], const cs_real_t s2[6], const cs_real_t s3[6], cs_real_t sout[restrict 3][3])
	Compute the product of three symmetric matrices. More...

Function Documentation

static void cs_math_33_3_product ( const cs_real_t  m[3][3], const cs_real_t  v[3], cs_real_3_t  mv  )

inlinestatic

Compute the product of a matrix of 3x3 real values by a vector of 3 real values.

Parameters

[in]	m	matrix of 3x3 real values
[in]	v	vector of 3 real values
[out]	mv	vector of 3 real values

static cs_real_t cs_math_3_dot_product ( const cs_real_t  u[3], const cs_real_t  v[3]  )

inlinestatic

Compute the dot product of two vectors of 3 real values.

Parameters

[in]	u	vector of 3 real values
[in]	v	vector of 3 real values

Returns

the resulting dot product u.v.

static cs_real_t cs_math_3_square_norm ( const cs_real_t  v[3] )

inlinestatic

Compute the square norm of a vector of 3 real values.

Parameters

[in]

v

vector of 3 real values

Returns

square norm of v.

static void cs_math_sym_33_3_product ( const cs_real_t  m[6], const cs_real_t  v[3], cs_real_t  mv[restrict 3]  )

inlinestatic

Compute the product of a symmetric matrix of 3x3 real values by a vector of 3 real values. NB: Symmetric matrix are stored as follows (s11, s22, s33, s12, s23, s13)

Parameters

[in]	m	matrix of 3x3 real values
[in]	v	vector of 3 real values
[out]	mv	vector of 3 real values

static void cs_math_sym_33_double_product ( const cs_real_t  s1[6], const cs_real_t  s2[6], const cs_real_t  s3[6], cs_real_t  sout[restrict 3][3]  )

inlinestatic

Compute the product of three symmetric matrices.

Remarks

Symmetric matrix coefficients are stored as follows: (s11, s22, s33, s12, s23, s13)

Parameters

[in]	s1	symmetric matrix
[in]	s2	symmetric matrix
[in]	s3	symmetric matrix
[out]	sout	sout = s1 * s2 * s3

static void cs_math_sym_33_inv_cramer ( const cs_real_t  s[6], cs_real_t  sout[restrict 6]  )

inlinestatic

Compute the inverse of a symmetric matrix using Cramer's rule.

Remarks

Symmetric matrix coefficients are stored as follows: (s11, s22, s33, s12, s23, s13)

Parameters

[in]	s	symmetric matrix
[out]	sout	sout = 1/s1

static void cs_math_sym_33_product ( const cs_real_t  s1[6], const cs_real_t  s2[6], cs_real_t  sout[restrict 6]  )

inlinestatic

Compute the product of two symmetric matrices.

Remarks

Symmetric matrix coefficients are stored as follows: (s11, s22, s33, s12, s23, s13)

Parameters

[in]	s1	symmetric matrix
[in]	s2	symmetric matrix
[out]	sout	sout = s1 * s2

void symmetric_matrix_inverse	(	const cs_real_6_t	s,
		cs_real_6_t	sout
	)

void symmetric_matrix_product	(	const cs_real_6_t	s1,
		const cs_real_6_t	s2,
		cs_real_6_t	sout
	)