#include "support/configCosmos.h"
#include "math/vector.h"

Include dependency graph for matrix.h:

This graph shows which files directly or indirectly include this file:

Classes
struct	rmatrix
	3x3 element generic matrix More...

struct	cmatrix
	3x3 element cartesian matrix More...

struct	matrix1d
	n element row matrix More...

struct	matrix2d
	nxm element 2D matrix More...

class	Cosmos::Math::Matrices::Matrix

Namespaces
	Cosmos

	Cosmos::Math

	Cosmos::Math::Matrices

Functions
std::ostream &	operator<< (std::ostream &out, const rmatrix &a)

std::ostream &	operator<< (std::ostream &out, const vector< rmatrix > &a)

std::istream &	operator>> (std::istream &out, rmatrix &a)

rvector	operator* (rmatrix m, rvector v)

std::ostream &	operator<< (std::ostream &out, const cmatrix &a)

std::istream &	operator>> (std::istream &in, cmatrix &a)

rvector	rv_mmult (rmatrix a, rvector b)
	Multiply rmatrix by rvector. More...

rvector	rv_diag (rmatrix a)
	Matrix diagonal. More...

rvector	rv_unskew (rmatrix matrix)
	Unskew 3x3 row matrix. More...

cvector	cv_mmult (cmatrix a, cvector b)
	Multiply cartesian vector by cartesian matrix. More...

cvector	cv_diag (cmatrix a)
	Matrix diagonal. More...

rmatrix	rm_transpose (rmatrix a)
	rmatrix Transpose. Calculate the transpose of the supplied rmatrix. More...

rmatrix	rm_square (rmatrix a)
	Square rmatrix. More...

rmatrix	rm_eye ()
	Identity rmatrix. More...

rmatrix	rm_zero ()
	Zero filled rmatrix. More...

rmatrix	rm_mmult (rmatrix a, rmatrix b)
	rmatrix Matrix Product More...

rmatrix	rm_mult (rmatrix a, rmatrix b)
	Element-wise rmatrix multiplication. More...

rmatrix	rm_smult (double a, rmatrix b)
	Scalar rmatrix multiplication. More...

rmatrix	rm_add (rmatrix a, rmatrix b)
	rmatrix addition. Sum of two rmatrix values. More...

rmatrix	rm_sub (rmatrix a, rmatrix b)
	rmatrix subtraction. Subtract two rmatrix values. More...

rmatrix	rm_change_between_rv (rvector from, rvector to)
	Create rotation matrix from 2 row vectors. More...

rmatrix	rm_change_around_x (double angle)
	Rotation matrix for X axis. More...

rmatrix	rm_change_around_y (double angle)
	Rotation matrix for Y axis. More...

rmatrix	rm_change_around_z (double angle)
	Rotation matrix for Z axis. More...

rmatrix	rm_change_around (int axis, double angle)
	Rotation matrix for indicated axis. More...

rmatrix	rm_diag (rvector a)
	Diagonal rmatrix Creates an rmatrix whose diagonal is filled with the supplied rvector. More...

rmatrix	rm_from_cm (cmatrix matrix)
	rmatrix from cmatrix More...

rmatrix	rm_from_rv (rvector vector, int direction)
	rvector to rmatrix. More...

rmatrix	rm_skew (rvector row1)
	Create skew symmetric rmatrix from rvector. More...

rmatrix	rm_inverse (rmatrix m)
	Inverse of rmatrix. More...

rmatrix	rm_from_m2 (matrix2d m)
	rmatrix from matrix2d More...

double	norm_rm (rmatrix a)
	rmatrix norm. Calculates the Norm of the supplied rmatrix More...

double	trace_rm (rmatrix a)
	rmatrix Trace Calculates the trace of the supplied rmatrix. More...

double	determinant_rm (rmatrix a)
	Determinant of row column matrix. More...

double	norm_cm (cmatrix a)
	cmatrix norm. Calculates the Norm of the supplied cmatrix More...

double	trace_cm (cmatrix a)
	cmatrix Trace Calculates the trace of the supplied cmatrix. More...

cmatrix	cm_transpose (cmatrix a)
	cmatrix Transpose. Calculate the transpose of the supplied cmatrix. More...

cmatrix	cm_square (cmatrix a)
	Square cmatrix. More...

cmatrix	cm_eye ()
	Identity cmatrix. More...

cmatrix	cm_zero ()
	Zero filled cmatrix. More...

cmatrix	cm_mmult (cmatrix a, cmatrix b)
	cmatrix Matrix Product More...

cmatrix	cm_mult (cmatrix a, cmatrix b)
	Element-wise cmatrix multiplication. More...

cmatrix	cm_smult (double a, cmatrix b)
	Scalar cmatrix multiplication. More...

cmatrix	cm_add (cmatrix a, cmatrix b)
	cmatrix addition. Sum of two cmatrix values. More...

cmatrix	cm_sub (cmatrix a, cmatrix b)
	cmatrix subtraction. Subtract two cmatrix values. More...

cmatrix	cm_change_between_cv (cvector from, cvector to)
	Create rotation matrix from 2 vectors. More...

cmatrix	cm_change_around_x (double angle)
	Rotation matrix for X axis. More...

cmatrix	cm_change_around_y (double angle)
	Rotation matrix for Y axis. More...

cmatrix	cm_change_around_z (double angle)
	Rotation matrix for Z axis. More...

cmatrix	cm_change_around (int axis, double angle)
	Rotation matrix for indicated axis. More...

cmatrix	cm_from_rm (rmatrix matrix)
	cmatrix from rmatrix More...

cmatrix	cm_diag (cvector a)
	Diagonal cmatrix Creates an cmatrix whose diagonal is filled with the supplied cvector. More...

matrix2d	m2_inverse (matrix2d m)
	Inverse of matrix2d. More...

double	m2_determinant (matrix2d m)
	Determinant of a 2D matrix. More...

matrix2d	m2_zero (uint16_t rows, uint16_t cols)
	Create 2D zero matrix. More...

matrix2d	m2_eye (uint16_t rows)
	Create 2D identity matrix. More...

matrix2d	m2_cross (matrix2d matrix1, matrix2d matrix2)

matrix2d	m2_smult (double number, matrix2d matrix)
	Multiply 2D matrix by a scalar. More...

matrix2d	m2_sub (matrix2d matrix1, matrix2d matrix2)
	Subtract one matrix2d from another. More...

matrix2d	m2_add (matrix2d matrix1, matrix2d matrix2)
	Add one matrix2d to another. More...

matrix2d	m2_transpose (matrix2d matrix)
	Return transpose of a 2D matrix. More...

matrix1d	m2_unskew (matrix2d matrix)
	Unskew 3x3 2D matrix. More...

double	m2_trace (matrix2d matrix)
	Calculate the trace of a 2D matrix. More...

matrix2d	m2_mmult (matrix2d matrix1, matrix2d matrix2)
	Matrix product. More...

matrix1d	m2_eig2x2 (matrix2d matrix)
	Eigen values of a 2x2 square matrix. More...

double	m2_snorm2x2 (matrix2d matrix)
	Spectral norm of a 2x2 matrix. More...

matrix2d	cv_to_m2 (cvector vector, int direction)

matrix1d	cv_to_m1 (cvector vector)

matrix2d	cm3x3_to_m2 (cmatrix matrix)

matrix2d	m1_to_m2 (matrix1d vector, int direction)
	Matrix1d to matrix2d. More...

matrix2d	m2_from_rm (rmatrix matrix)
	rmatrix from rmatrix More...

matrix1d	m1_zero (uint16_t cols)
	Fill 1D matrix with zeros. More...

matrix1d	m1_smult (double number, matrix1d row)
	Multiply 1D matrix by a scalar. More...

matrix1d	m1_mmult (matrix2d matrix, matrix1d row)
	Multiply matrix1d by matrix2d. More...

matrix1d	m1_sub (matrix1d row1, matrix1d row2)
	Subtract one 1D matrix from another. More...

matrix1d	m1_add (matrix1d row1, matrix1d row2)
	Add one 1D matrix to another. More...

matrix1d	m1_cross (matrix1d row1, matrix1d row2)
	matrix1d cross product More...

matrix2d	m2_skew (matrix1d row1)
	Create skew symmetric matrix2d from matrix1d. More...

matrix2d	m2_diag (matrix1d row1)
	Create diagonal matrix2d from matrix1d. More...

double	m1_norm (matrix1d matrix)
	Compute the Euclidean norm of a 1D matrix. More...

double	m1_dot (matrix1d a, matrix1d b)
	matrix1d dot product More...

Matrix	Cosmos::Math::Matrices::operator* (const double scale, Matrix &v)

Matrix	Cosmos::Math::Matrices::eye (double scale)
	Scaled Identity ::Matrix. More...

Function Documentation

std::ostream& operator<<	(	std::ostream &	out,
		const rmatrix &	a
	)

 {
     out.precision(15);
     out << "["  << a.row[0].col[0] << "," << a.row[0].col[1] << "," << a.row[0].col[2] << ";";
     out << a.row[1].col[0] << "," << a.row[1].col[1] << "," << a.row[1].col[2] << ";";
     out << a.row[2].col[0] << "," << a.row[2].col[1] << "," << a.row[2].col[2] << "]";
     return out;
 }

std::ostream& operator<<	(	std::ostream &	out,
		const vector< rmatrix > &	a
	)

 {
     for(vector<rmatrix>::const_iterator I = a.begin(); I != a.end(); ++I)
         out<<*I<<"\t";
     return out;
 }

std::istream& operator>>	(	std::istream &	out,
		rmatrix &	a
	)

 {
     char junk;
     in >> junk >> a.row[0].col[0] >> junk >> a.row[0].col[1] >> junk >> a.row[0].col[2] >> junk
             >> a.row[1].col[0] >> junk >> a.row[1].col[1] >> junk >> a.row[1].col[2] >> junk
             >> a.row[2].col[0] >> junk >> a.row[2].col[1] >> junk >> a.row[2].col[2] >> junk;
     return in;
 }

std::ostream& operator<<	(	std::ostream &	out,
		const cmatrix &	a
	)

 {
     out << "["  << a.r1.x << "," << a.r1.y << "," << a.r1.z << ";\n"
         << a.r2.x << "," << a.r2.y << "," << a.r2.z << ";\n"
         << a.r3.x << "," << a.r3.y << "," << a.r3.z << "]";
     return out;
 }

std::istream& operator>>	(	std::istream &	in,
		cmatrix &	a
	)

 {
     char junk;
     in >> junk >> a.r1.x >> junk >> a.r1.y >> junk >> a.r1.z >> junk
             >> a.r2.x >> junk >> a.r2.y >> junk >> a.r2.z >> junk
             >> a.r3.x >> junk >> a.r3.y >> junk >> a.r3.z >> junk;
     return in;
 }

matrix2d m2_cross	(	matrix2d	matrix1,
		matrix2d	matrix2
	)

Classes

Namespaces

Functions

Function Documentation