Implementation of a 3D matrix. More...

#include <Matrix.h>

Public Member Functions
	Matrix3D (void)

	Matrix3D (const Mdouble xx, const Mdouble xy, const Mdouble xz, const Mdouble yx, const Mdouble yy, const Mdouble yz, const Mdouble zx, const Mdouble zy, const Mdouble zz)

void	set_zero ()

Mdouble	trace () const

Matrix3D	operator+ (const Matrix3D &A) const

Matrix3D	operator- (const Matrix3D &A) const

Matrix3D	operator+ (const Mdouble A) const

Matrix3D	operator- (const Mdouble A) const

Matrix3D	operator* (const Mdouble A) const

Vec3D	operator* (const Vec3D A) const

Matrix3D	operator/ (const Mdouble A) const

Matrix3D &	operator+= (const Matrix3D &A)

Matrix3D &	operator-= (const Matrix3D &A)

Matrix3D &	operator/= (const Mdouble A)

Public Attributes
Mdouble	XX

Mdouble	XY

Mdouble	XZ

Mdouble	YX

Mdouble	YY

Mdouble	YZ

Mdouble	ZX

Mdouble	ZY

Mdouble	ZZ

Friends
Vec3D	operator* (const Matrix3D A, const Vec3D B)

std::ostream &	operator<< (std::ostream &os, const Matrix3D &A)

std::istream &	operator>> (std::istream &is, Matrix3D &A)

Matrix3D	square (const Matrix3D &A)

Matrix3D	sqrt (const Matrix3D &A)

Detailed Description

Implementation of a 3D matrix.

Definition at line 35 of file Matrix.h.

Constructor & Destructor Documentation

Matrix3D::Matrix3D ( void )

inline

Definition at line 41 of file Matrix.h.

Referenced by operator*(), operator+(), operator-(), and operator/().

41 {}

Matrix3D::Matrix3D	(	const Mdouble	xx,
		const Mdouble	xy,
		const Mdouble	xz,
		const Mdouble	yx,
		const Mdouble	yy,
		const Mdouble	yz,
		const Mdouble	zx,
		const Mdouble	zy,
		const Mdouble	zz
	)

inline

Definition at line 43 of file Matrix.h.

References XX, XY, XZ, YX, YY, YZ, ZX, ZY, and ZZ.

         {   
             XX = xx; XY = xy; XZ = xz;
             YX = yx; YY = yy; YZ = yz;
             ZX = zx; ZY = zy; ZZ = zz;
         }

Member Function Documentation

Matrix3D Matrix3D::operator* ( const Mdouble A ) const

inline

Definition at line 95 of file Matrix.h.

References Matrix3D(), XX, XY, XZ, YX, YY, YZ, ZX, ZY, and ZZ.

     { 
         return Matrix3D(XX * A, XY * A, XZ * A, 
                         YX * A, YY * A, YZ * A, 
                         ZX * A, ZY * A, ZZ * A); 
     }

Vec3D Matrix3D::operator* ( const Vec3D A ) const

inline

Definition at line 102 of file Matrix.h.

References Vec3D::X, XX, XY, XZ, Vec3D::Y, YX, YY, YZ, Vec3D::Z, ZX, ZY, and ZZ.

     { 
         return Vec3D(XX * A.X + XY * A.Y + XZ * A.Z, 
                      YX * A.X + YY * A.Y + YZ * A.Z,
                      ZX * A.X + ZY * A.Y + ZZ * A.Z );
     }

Matrix3D Matrix3D::operator+ ( const Matrix3D & A ) const

inline

Definition at line 60 of file Matrix.h.

References Matrix3D(), XX, XY, XZ, YX, YY, YZ, ZX, ZY, and ZZ.

     { 
         return Matrix3D(XX + A.XX, XY + A.XY, XZ + A.XZ, 
                         YX + A.YX, YY + A.YY, YZ + A.YZ, 
                         ZX + A.ZX, ZY + A.ZY, ZZ + A.ZZ); 
     }

Matrix3D Matrix3D::operator+ ( const Mdouble A ) const

inline

Definition at line 74 of file Matrix.h.

References Matrix3D(), XX, XY, XZ, YX, YY, YZ, ZX, ZY, and ZZ.

     { 
         return Matrix3D(XX + A, XY + A, XZ + A, 
                         YX + A, YY + A, YZ + A, 
                         ZX + A, ZY + A, ZZ + A); 
     }

Matrix3D& Matrix3D::operator+= ( const Matrix3D & A )

inline

Definition at line 130 of file Matrix.h.

References XX, XY, XZ, YX, YY, YZ, ZX, ZY, and ZZ.

     {
         XX += A.XX;
         XY += A.XY;
         XZ += A.XZ;
         YX += A.YX;
         YY += A.YY;
         YZ += A.YZ;
         ZX += A.ZX;
         ZY += A.ZY;
         ZZ += A.ZZ;
         return *this;
     }

Matrix3D Matrix3D::operator- ( const Matrix3D & A ) const

inline

Definition at line 67 of file Matrix.h.

References Matrix3D(), XX, XY, XZ, YX, YY, YZ, ZX, ZY, and ZZ.

     { 
         return Matrix3D(XX - A.XX, XY - A.XY, XZ - A.XZ, 
                         YX - A.YX, YY - A.YY, YZ - A.YZ, 
                         ZX - A.ZX, ZY - A.ZY, ZZ - A.ZZ); 
     }

Matrix3D Matrix3D::operator- ( const Mdouble A ) const

inline

Definition at line 81 of file Matrix.h.

References Matrix3D(), XX, XY, XZ, YX, YY, YZ, ZX, ZY, and ZZ.

     { 
         return Matrix3D(XX - A, XY - A, XZ - A, 
                         YX - A, YY - A, YZ - A, 
                         ZX - A, ZY - A, ZZ - A); 
     }

Matrix3D& Matrix3D::operator-= ( const Matrix3D & A )

inline

Definition at line 144 of file Matrix.h.

References XX, XY, XZ, YX, YY, YZ, ZX, ZY, and ZZ.

     {
         XX -= A.XX;
         XY -= A.XY;
         XZ -= A.XZ;
         YX -= A.YX;
         YY -= A.YY;
         YZ -= A.YZ;
         ZX -= A.ZX;
         ZY -= A.ZY;
         ZZ -= A.ZZ;
         return *this;
     }

Matrix3D Matrix3D::operator/ ( const Mdouble A ) const

inline

Definition at line 109 of file Matrix.h.

References Matrix3D(), XX, XY, XZ, YX, YY, YZ, ZX, ZY, and ZZ.

     { 
         return Matrix3D(XX / A, XY / A, XZ / A, 
                         YX / A, YY / A, YZ / A, 
                         ZX / A, ZY / A, ZZ / A); 
     }

Matrix3D& Matrix3D::operator/= ( const Mdouble A )

inline

Definition at line 158 of file Matrix.h.

References A, XX, XY, XZ, YX, YY, YZ, ZX, ZY, and ZZ.

     {
         XX /= A;
         XY /= A;
         XZ /= A;
         YX /= A;
         YY /= A;
         YZ /= A;
         ZX /= A;
         ZY /= A;
         ZZ /= A;
         return *this;
     }

void Matrix3D::set_zero ( )

inline

Definition at line 50 of file Matrix.h.

References XX, XY, XZ, YX, YY, YZ, ZX, ZY, and ZZ.

     {   
         XX = XY = XZ = YX = YY = YZ = ZX = ZY = ZZ = 0.0;
     }

Mdouble Matrix3D::trace ( ) const

inline

Definition at line 55 of file Matrix.h.

References XX, YY, and ZZ.

     {   
         return (XX+YY+ZZ)/3;
     }

Friends And Related Function Documentation

Vec3D operator*	(	const Matrix3D	A,
		const Vec3D	B
	)

friend

Definition at line 88 of file Matrix.h.

     { 
         return Vec3D(A.XX*B.X+A.XY*B.Y+A.XZ*B.Z, 
                      A.YX*B.X+A.YY*B.Y+A.YZ*B.Z, 
                      A.ZX*B.X+A.ZY*B.Y+A.ZZ*B.Z); 
     }       

std::ostream& operator<<	(	std::ostream &	os,
		const Matrix3D &	A
	)

friend

Definition at line 116 of file Matrix.h.

     {
         os  << A.XX << ' ' << A.XY << ' ' << A.XZ << ' ' 
             << A.YX << ' ' << A.YY << ' ' << A.YZ << ' '
             << A.ZX << ' ' << A.ZY << ' ' << A.ZZ;
         return os;
     }

std::istream& operator>>	(	std::istream &	is,
		Matrix3D &	A
	)

friend

Definition at line 124 of file Matrix.h.

     {
         is >> A.XX >> A.XY >> A.XZ >> A.YX >> A.YY >> A.YZ >> A.ZX >> A.ZY >> A.ZZ;
         return is;
     }

Matrix3D sqrt ( const Matrix3D & A )

friend

Definition at line 181 of file Matrix.h.

     {
         return Matrix3D(sqrt(A.XX), sqrt(A.XY), sqrt(A.XZ), 
                         sqrt(A.YX), sqrt(A.YY), sqrt(A.YZ), 
                         sqrt(A.ZX), sqrt(A.ZY), sqrt(A.ZZ));
     }

Matrix3D square ( const Matrix3D & A )

friend

Definition at line 173 of file Matrix.h.

     {
         return Matrix3D(sqr(A.XX), sqr(A.XY), sqr(A.XZ), 
                         sqr(A.YX), sqr(A.YY), sqr(A.YZ), 
                         sqr(A.ZX), sqr(A.ZY), sqr(A.ZZ));
     }