mat_matrix.cpp File Reference

#include "mat_tools.h"

Go to the source code of this file.

Functions
bool	SG_Matrix_Triangular_Decomposition (CSG_Matrix &A, CSG_Vector &d, CSG_Vector &e)
bool	SG_Matrix_Tridiagonal_QL (CSG_Matrix &Q, CSG_Vector &d, CSG_Vector &e)
CSG_Vector	operator* (double Scalar, const CSG_Vector &Vector)
bool	SG_VectorR2_Rotate (double &x, double &y, double Angle)
bool	SG_VectorR2_Rotate (double Vector[2], double Angle)
bool	SG_VectorR2_Rotate (CSG_Vector &Vector, double Angle)
bool	SG_VectorR3_Rotate (double Vector[3], size_t Axis, double Angle)
bool	SG_VectorR3_Rotate (CSG_Vector &Vector, size_t Axis, double Angle)
CSG_Matrix	operator* (double Scalar, const CSG_Matrix &Matrix)
CSG_Matrix	SG_Matrix_Get_Rotation (double R, bool bDegree)
CSG_Matrix	SG_Matrix_Get_Rotation (double Rx, double Ry, double Rz, bool bDegree)
bool	SG_Matrix_Solve (CSG_Matrix &Matrix, CSG_Vector &Vector, bool bSilent)
bool	SG_Matrix_Eigen_Reduction (const CSG_Matrix &Matrix, CSG_Matrix &Eigen_Vectors, CSG_Vector &Eigen_Values, bool bSilent)
bool	SG_Matrix_LU_Decomposition (int n, int *Permutation, double **Matrix, bool bSilent, int *nRowChanges)
bool	SG_Matrix_LU_Solve (int n, const int *Permutation, const double **Matrix, double *Vector, bool bSilent)

Function Documentation

operator*() [1/2]

CSG_Matrix operator*	(	double	Scalar,
		const CSG_Matrix &	Matrix
	)

Definition at line 1699 of file mat_matrix.cpp.

operator*() [2/2]

CSG_Vector operator*	(	double	Scalar,
		const CSG_Vector &	Vector
	)

Definition at line 579 of file mat_matrix.cpp.

SG_Matrix_Eigen_Reduction()

bool SG_Matrix_Eigen_Reduction	(	const CSG_Matrix &	Matrix,
		CSG_Matrix &	Eigen_Vectors,
		CSG_Vector &	Eigen_Values,
		bool	bSilent
	)

Definition at line 1933 of file mat_matrix.cpp.

References SG_Matrix_Triangular_Decomposition(), and SG_Matrix_Tridiagonal_QL().

SG_Matrix_Get_Rotation() [1/2]

CSG_Matrix SG_Matrix_Get_Rotation	(	double	R,
		bool	bDegree
	)

Returns a rotation matrix applicable to 2d vectors for given rotation angle (R).

Definition at line 1866 of file mat_matrix.cpp.

References M_DEG_TO_RAD.

SG_Matrix_Get_Rotation() [2/2]

CSG_Matrix SG_Matrix_Get_Rotation	(	double	Rx,
		double	Ry,
		double	Rz,
		bool	bDegree
	)

Returns a rotation matrix applicable to 3d vectors for rotations about the x-, y-, and z-axis (Rx, Ry, Rz).

Definition at line 1885 of file mat_matrix.cpp.

References M_DEG_TO_RAD.

SG_Matrix_LU_Decomposition()

bool SG_Matrix_LU_Decomposition	(	int	n,
		int *	Permutation,
		double **	Matrix,
		bool	bSilent,
		int *	nRowChanges
	)

Definition at line 1948 of file mat_matrix.cpp.

References M_FLT_EPSILON, SG_UI_Process_Get_Okay(), and SG_UI_Process_Set_Progress().

Referenced by CSG_Matrix::Get_Determinant(), CSG_Matrix::Set_Inverse(), and SG_Matrix_Solve().

SG_Matrix_LU_Solve()

bool SG_Matrix_LU_Solve	(	int	n,
		const int *	Permutation,
		const double **	Matrix,
		double *	Vector,
		bool	bSilent
	)

Definition at line 2053 of file mat_matrix.cpp.

References SG_UI_Process_Set_Progress().

Referenced by CSG_Matrix::Set_Inverse(), and SG_Matrix_Solve().

SG_Matrix_Solve()

bool SG_Matrix_Solve	(	CSG_Matrix &	Matrix,
		CSG_Vector &	Vector,
		bool	bSilent
	)

Definition at line 1910 of file mat_matrix.cpp.

References CSG_Array::Get_Array(), CSG_Vector::Get_Data(), CSG_Matrix::Get_Data(), CSG_Vector::Get_N(), CSG_Matrix::Get_NX(), CSG_Matrix::Get_NY(), SG_Matrix_LU_Decomposition(), and SG_Matrix_LU_Solve().

Referenced by CSG_Thin_Plate_Spline::Create().

SG_Matrix_Triangular_Decomposition()

bool SG_Matrix_Triangular_Decomposition	(	CSG_Matrix &	A,
		CSG_Vector &	d,
		CSG_Vector &	e
	)

Definition at line 2097 of file mat_matrix.cpp.

References A, and CSG_Vector::Create().

Referenced by SG_Matrix_Eigen_Reduction().

SG_Matrix_Tridiagonal_QL()

bool SG_Matrix_Tridiagonal_QL	(	CSG_Matrix &	Q,
		CSG_Vector &	d,
		CSG_Vector &	e
	)

Definition at line 2227 of file mat_matrix.cpp.

References CSG_Vector::Get_N(), CSG_Matrix::Get_NX(), CSG_Matrix::Get_NY(), and M_SET_SIGN.

Referenced by SG_Matrix_Eigen_Reduction().

SG_VectorR2_Rotate() [1/3]

bool SG_VectorR2_Rotate	(	CSG_Vector &	Vector,
		double	Angle
	)

Definition at line 770 of file mat_matrix.cpp.

References CSG_Vector::Get_Size(), and SG_VectorR2_Rotate().

SG_VectorR2_Rotate() [2/3]

bool SG_VectorR2_Rotate	(	double &	x,
		double &	y,
		double	Angle
	)

Definition at line 750 of file mat_matrix.cpp.

Referenced by SG_VectorR2_Rotate().

SG_VectorR2_Rotate() [3/3]

bool SG_VectorR2_Rotate	(	double	Vector[2],
		double	Angle
	)

Definition at line 764 of file mat_matrix.cpp.

References SG_VectorR2_Rotate().

SG_VectorR3_Rotate() [1/2]

bool SG_VectorR3_Rotate	(	CSG_Vector &	Vector,
		size_t	Axis,
		double	Angle
	)

Definition at line 810 of file mat_matrix.cpp.

References CSG_Vector::Get_Data(), CSG_Vector::Get_Size(), and SG_VectorR3_Rotate().

SG_VectorR3_Rotate() [2/2]

bool SG_VectorR3_Rotate	(	double	Vector[3],
		size_t	Axis,
		double	Angle
	)

Definition at line 776 of file mat_matrix.cpp.

Referenced by SG_VectorR3_Rotate().