Matrix Class Reference

#include <Matrix.h>

List of all members.

Public Member Functions
	Matrix ()
	Matrix (const float f)
	Matrix (const float x, const float y, const float z)
	Matrix (const Vec3f &t)
	Matrix (const float angle, const Vec3f &axis)
void	set (int x, int y, float value)
float	get (int x, int y) const
Matrix &	operator *= (const Matrix &m)
Vec3f	transformVector (const Vec3f &vector) const
Private Attributes
float	mValues [4][4]
	all the values
Friends
Matrix	operator * (const Matrix &m, const float f)
Matrix	operator * (const float f, const Matrix &m)
Vec3f	operator * (const Matrix &m, const Vec3f &v)
Vec3f	operator * (const Vec3f &v, const Matrix &m)
Ray	operator * (const Matrix &m, const Ray &r)
Ray	operator * (const Ray &r, const Matrix &m)
Matrix	operator * (const Matrix &m1, const Matrix &m2)
std::ostream &	operator<< (std::ostream &o, const Matrix &m)

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Detailed Description

4x4 matrix class

Author:

Alex Busenius

Definition at line 15 of file Matrix.h.

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Constructor & Destructor Documentation

Matrix::Matrix

(

)

[inline]

Default constructor, constructing identity matrix (Einheitsmatrix)

1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1

Definition at line 35 of file Matrix.h.

References mValues.

Matrix::Matrix

(

const float

f

)

[inline]

Construct with every value set to f

f f f f f f f f f f f f f f f f

Definition at line 57 of file Matrix.h.

References mValues.

Matrix::Matrix	(	const float	x,
		const float	y,
		const float	z
	)			[inline]

Construct a scale matrix

x 0 0 0 0 y 0 0 0 0 z 0 0 0 0 1

Parameters:

	x	Scaling factor in x-direction
	y	Scaling factor in y-direction
	z	Scaling factor in z-direction

Definition at line 79 of file Matrix.h.

References mValues.

Matrix::Matrix

(

const Vec3f &

t

)

[inline]

Construct a translation matrix

1 0 0 t.x 0 1 0 t.y 0 0 1 t.z 0 0 0 1

Parameters:

t

Translation vector

Definition at line 104 of file Matrix.h.

References mValues, Vec3f::x(), Vec3f::y(), and Vec3f::z().

Matrix::Matrix	(	const float	angle,
		const Vec3f &	axis
	)			[inline]

Construct a rotation matrix

x^2(1-c)+c xy(1-c)-zs xz(1-c)+ys 0 yx(1-c)+zs y^2(1-c)+c yz(1-c)-xs 0 xz(1-c)-ys yz(1-c)+xs z^2(1-c)+c 0 0 0 0 1

Where c = cos(angle), s = sin(angle) and (x,y,z).length() == 1

This rotation follows the right-hand rule, so if the vector axis points toward the user, the rotation will be counterclockwise.

Parameters:

	angle	Rotation angle in radian
	axis	Rotation axis vector, normalized if needed

Definition at line 137 of file Matrix.h.

References mValues, and Vec3f::normal().

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Member Function Documentation

void Matrix::set	(	int	x,
		int	y,
		float	value
	)			[inline]

Set the value

Parameters:

	x	Row (Zeile)
	y	Column (Spalte)
	value	value to set

Definition at line 170 of file Matrix.h.

References mValues.

float Matrix::get	(	int	x,
		int	y
	)			const [inline]

Get a value

(0,0) (0,1) (0,2) (0,3) (1,0) (1,1) (1,2) (1,3) (2,0) (2,1) (2,2) (2,3) (3,0) (3,1) (3,2) (3,3)

Parameters:

	x	Row (Zeile)
	y	Column (Spalte)

Returns:

the value in the matrix

Definition at line 189 of file Matrix.h.

References mValues.

Matrix& Matrix::operator *=

(

const Matrix &

m

)

[inline]

Multiply and assign a matrix

Definition at line 199 of file Matrix.h.

Vec3f Matrix::transformVector

(

const Vec3f &

vector

)

const [inline]

Multiply with given vector handling them as a _vector_ and NOT as point. Correctly transforms 3D -> 4D -> 3D

Definition at line 208 of file Matrix.h.

References mValues.

Referenced by CameraInstructionMove::execute(), operator *(), PhysicalObject::toGlobalCoordinates(), and PhysicalObject::toLocalCoordinates().

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Friends And Related Function Documentation

Matrix operator *	(	const Matrix &	m,
		const float	f
	)			[friend]

Multiply matrix with float

Definition at line 230 of file Matrix.h.

Matrix operator *	(	const float	f,
		const Matrix &	m
	)			[friend]

Multiply matrix with float

Definition at line 246 of file Matrix.h.

Vec3f operator *	(	const Matrix &	m,
		const Vec3f &	v
	)			[friend]

Multiply a matrix with a 3D point (and doing the right transformation from 4 dim to 3 dim)

Definition at line 262 of file Matrix.h.

Vec3f operator *	(	const Vec3f &	v,
		const Matrix &	m
	)			[friend]

Multiply a 3D point with a matrix (and doing the right transformation from 4 dim to 3 dim)

Definition at line 281 of file Matrix.h.

Ray operator *	(	const Matrix &	m,
		const Ray &	r
	)			[friend]

Multiply a matrix with a ray. This transforms the ray's coordinate system as given by the matrix. All attributes are either transformed accordingly or preserved.

Parameters:

	m	Matrix discribing coordinate system
	r	Ray to transform

Returns:

Transformed ray

Definition at line 306 of file Matrix.h.

Ray operator *	(	const Ray &	r,
		const Matrix &	m
	)			[friend]

Multiply a ray with a matrix. This operation does not make any sense

Definition at line 326 of file Matrix.h.

Matrix operator *	(	const Matrix &	m1,
		const Matrix &	m2
	)			[friend]

Multiply matrix with matrix

Definition at line 336 of file Matrix.h.

std::ostream& operator<<	(	std::ostream &	o,
		const Matrix &	m
	)			[friend]

Output operator

Definition at line 10 of file Matrix.cpp.

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Member Data Documentation

float Matrix::mValues[4][4] [private]

all the values

Definition at line 224 of file Matrix.h.

Referenced by get(), Matrix(), operator *(), operator<<(), set(), and transformVector().

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The documentation for this class was generated from the following file:

• src/Matrix.h

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