#include <iaMatrix.h>

Public Member Functions
void	operator+= (iaMatrix &a)

void	operator-= (iaMatrix &a)

bool	operator== (const iaMatrix< T > &a) const

bool	operator!= (const iaMatrix< T > &a) const

iaVector3< T >	operator* (iaVector3< T > &a) const

iaVector3< T >	operator* (const iaVector3< T > &a) const

iaVector4< T >	operator* (iaVector4< T > &a) const

iaVector4< T >	operator* (const iaVector4< T > &a) const

iaMatrix	operator* (const iaMatrix &m)

void	operator*= (const iaMatrix &m)

T &	operator[] (int i)

T	operator[] (int i) const

void	identity ()

T	determinant ()

T	determinant3x3 ()

bool	invert ()

void	transpose ()

void	lookAt (const iaVector3< T > &eye, const iaVector3< T > &coi, const iaVector3< T > &top)

void	frustum (T left, T right, T bottom, T top, T nearPlain, T farPlain)

void	perspective (T fov, T aspect, T nearPlain, T farPlain)

void	ortho (T left, T right, T bottom, T top, T nearPlain, T farPlain)

void	grammSchmidt (iaVector3< T > &depth)

void	grammSchmidt (iaVector3< T > &depth, iaVector3< T > &top)

void	translate (const iaVector3< T > &a)

void	translate (T x, T y, T z)

void	scale (const iaVector3< T > &s)

void	scale (T x, T y, T z)

void	move (T distance, iaAxis axis)

void	move (const iaVector3< T > &v)

void	rotate (T angle, iaAxis axis)

void	rotate (const iaVector3< T > &vec)

void	rotate (T x, T y, T z)

void	shear (const iaVector3< T > &vec)

void	shear (T xy, T xz, T yz)

const T *	getData () const

T *	getData ()

void	setData (const T *data)

template<class T2 >
iaMatrix< T2 >	convert ()

	iaMatrix ()

	~iaMatrix ()

template<class T2 >
iaMatrix< T2 >	convert ()

Public Attributes
iaVector3< T >	_right

T	_w0 = static_cast<T>(0)

iaVector3< T >	_top

T	_w1 = static_cast<T>(0)

iaVector3< T >	_depth

T	_w2 = static_cast<T>(0)

iaVector3< T >	_pos

T	_w3 = static_cast<T>(0)

Detailed Description

template<class T>
class iaux::iaMatrix< T >

right handed 4x4 Matrix

data by name

data by index (index equals to position in memory)

0 | 4 | 8 | 12 1 | 5 | 9 | 13 2 | 6 | 10 | 14 3 | 7 | 11 | 15

corresponds to

0,0 | 1,0 | 2,0 | 3,0 0,1 | 1,1 | 2,1 | 3,1 0,2 | 1,2 | 2,2 | 3,2 0,3 | 1,3 | 2,3 | 3,3

shear

1 | 0 | 0 | 0 z (xy) | 1 | 0 | 0 y (xz) | x (yz) | 1 | 0 0 | 0 | 0 | 1

translate

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

scale

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

rotate X

1 | 0 | 0 | 0 0 | cos(a) | -sin(a) | 0 0 | sin(a) | cos(a) | 0 0 | 0 | 0 | 1

rotate Y

cos(a) | 0 | sin(a) | 0 0 | 1 | 0 | 0 -sin(a) | 0 | cos(a) | 0 0 | 0 | | 1

rotate Z

cos(a) | -sin(a) | 0 | 0 sin(a) | cos(a) | 0 | 0 0 | 0 | 1 | 0 0 | 0 | 0 | 1

Constructor & Destructor Documentation

◆ iaMatrix()

template<class T >

iaMatrix::iaMatrix ( )

initializes the matrix with the id matrix

◆ ~iaMatrix()

template<class T >

iaMatrix::~iaMatrix ( )

does nothing

Member Function Documentation

◆ convert() [1/2]

template<class T >

template<class T2 >

iaMatrix< T2 > iaux::iaMatrix< T >::convert ( )

converts the vector in to given type of vector

Returns: matrix for given type

◆ convert() [2/2]

template<class T >

template<class T2 >

iaMatrix< T2 > iaux::iaMatrix< T >::convert ( )

◆ determinant()

template<class T >

IGOR_INLINE T iaMatrix::determinant ( )

returns the determinant of the matrix

◆ determinant3x3()

template<class T >

IGOR_INLINE T iaMatrix::determinant3x3 ( )

returns the determinant of the 3x3 part of the matrix

◆ frustum()

template<class T >

IGOR_INLINE void iaMatrix::frustum	(	T	left,
		T	right,
		T	bottom,
		T	top,
		T	nearPlain,
		T	farPlain
	)

calculates a frustum matrix

Parameters

left	the left value
right	the right value
bottom	the bottom value
top	the top value
nearPlain	the near plain distance
farPlain	the far plain distance

◆ getData() [1/2]

template<class T >

IGOR_INLINE T * iaMatrix::getData ( )

Returns: pointer to the data

◆ getData() [2/2]

template<class T >

IGOR_INLINE const T * iaMatrix::getData ( ) const

Returns: pointer to the data

◆ grammSchmidt() [1/2]

template<class T >

IGOR_INLINE void iaMatrix::grammSchmidt ( iaVector3< T > & depth )

calculates a orthogonal matrix based on one direction

does only change the orientation of this matrix the vector does not have top be normalized

Parameters

depth the direction the matrix bases on

◆ grammSchmidt() [2/2]

template<class T >

IGOR_INLINE void iaMatrix::grammSchmidt	(	iaVector3< T > &	depth,
		iaVector3< T > &	top
	)

calculates a orthogonal matrix based on a plane with primary direction depth

does only change the orientation of this matrix the vectors do not have to be perpendicular the vectors do not have to be normalized

Parameters

depth	the direction the matrix bases on
top	the second vector to define the plane

◆ identity()

template<class T >

IGOR_INLINE void iaMatrix::identity ( )

initializes matrix with id matrix

◆ invert()

template<class T >

IGOR_INLINE bool iaMatrix::invert ( )

calculates the inverse of the matrix and overwrites the original value

◆ lookAt()

template<class T >

IGOR_INLINE void iaMatrix::lookAt	(	const iaVector3< T > &	eye,
		const iaVector3< T > &	coi,
		const iaVector3< T > &	top
	)

calculates a view matrix

Parameters

eye	eye point of the camera
coi	center of interesst
top	the ipvector of the camera

◆ move() [1/2]

template<class T >

IGOR_INLINE void iaMatrix::move ( const iaVector3< T > & v )

translate the matrix along it's own orientation vectors by given vector

Parameters

v	the given vector

◆ move() [2/2]

template<class T >

IGOR_INLINE void iaMatrix::move	(	T	distance,
		iaAxis	axis
	)

translate the matrix along it's own orientation vectors

Parameters

distance	distance to translate the matrix
axis	axis to translate along

◆ operator!=()

template<class T >

IGOR_INLINE bool iaMatrix::operator!= ( const iaMatrix< T > & a ) const

negated comparison of two matrices

Parameters

a	the second matrix to compare this matrix with

Returns: true if matrices are not equal

◆ operator*() [1/5]

template<class T >

iaMatrix iaux::iaMatrix< T >::operator* ( const iaMatrix< T > & m )

matrix multiplication

◆ operator*() [2/5]

template<class T >

IGOR_INLINE iaVector3< T > iaMatrix::operator* ( const iaVector3< T > & a ) const

matrix vector3 multiplication

◆ operator*() [3/5]

template<class T >

IGOR_INLINE iaVector4< T > iaMatrix::operator* ( const iaVector4< T > & a ) const

matrix vector4 multiplication

◆ operator*() [4/5]

template<class T >

IGOR_INLINE iaVector3< T > iaMatrix::operator* ( iaVector3< T > & a ) const

matrix vector3 multiplication

◆ operator*() [5/5]

template<class T >

IGOR_INLINE iaVector4< T > iaMatrix::operator* ( iaVector4< T > & a ) const

matrix vector4 multiplication

◆ operator*=()

template<class T >

IGOR_INLINE void iaMatrix::operator*= ( const iaMatrix< T > & m )

matrix multiplication

◆ operator+=()

template<class T >

IGOR_INLINE void iaMatrix::operator+= ( iaMatrix< T > & a )

addition

◆ operator-=()

template<class T >

IGOR_INLINE void iaMatrix::operator-= ( iaMatrix< T > & a )

subtraction

◆ operator==()

template<class T >

IGOR_INLINE bool iaMatrix::operator== ( const iaMatrix< T > & a ) const

comparison of two matrices

Parameters

a	the second matrix to compare this matrix with

Returns: true if matrices are equal

◆ operator[]() [1/2]

template<class T >

IGOR_INLINE T & iaMatrix::operator[] ( int i )

matrix component by index

Parameters

i	only indexes from 0 to 15 are allowed

◆ operator[]() [2/2]

template<class T >

IGOR_INLINE T iaMatrix::operator[] ( int i ) const

◆ ortho()

template<class T >

IGOR_INLINE void iaMatrix::ortho	(	T	left,
		T	right,
		T	bottom,
		T	top,
		T	nearPlain,
		T	farPlain
	)

calculates a othogonal projection matrix

Parameters

left	the left value
right	the right value
bottom	the bottom value
top	the top value
nearPlain	the near plain distance
farPlain	the far plain distance

◆ perspective()

template<class T >

IGOR_INLINE void iaMatrix::perspective	(	T	fov,
		T	aspect,
		T	nearPlain,
		T	farPlain
	)

calculates a perspective projection matrix

Parameters

fov	field of view in degrees
aspect	aspect ratio
nearPlain	near clipping plane distance
farPlain	far clipping plane distance

◆ rotate() [1/3]

template<class T >

IGOR_INLINE void iaMatrix::rotate ( const iaVector3< T > & vec )

rotates matrix in three axis

Parameters

vec	the rotation vector

◆ rotate() [2/3]

template<class T >

IGOR_INLINE void iaMatrix::rotate	(	T	angle,
		iaAxis	axis
	)

rotates the matrix around a specified orientation vector of the matrix

Parameters

angle	angle to rotate in radians
axis	axis to rotate around

◆ rotate() [3/3]

template<class T >

IGOR_INLINE void iaMatrix::rotate	(	T	x,
		T	y,
		T	z
	)

rotates matrix in three axis

Parameters

x	x axis
y	y axis
z	z axis

◆ scale() [1/2]

template<class T >

IGOR_INLINE void iaMatrix::scale ( const iaVector3< T > & s )

scale matrix by vector

Parameters

s	scale vector

◆ scale() [2/2]

template<class T >

IGOR_INLINE void iaMatrix::scale	(	T	x,
		T	y,
		T	z
	)

scales the matrix

Parameters

x	scale in x axis
y	scale in y axis
z	scale in z axis

◆ setData()

template<class T >

IGOR_INLINE void iaMatrix::setData ( const T * data )

set data

◆ shear() [1/2]

template<class T >

IGOR_INLINE void iaMatrix::shear ( const iaVector3< T > & vec )

shears matrix in three axis

Parameters

vec	the shear vector

◆ shear() [2/2]

template<class T >

IGOR_INLINE void iaMatrix::shear	(	T	xy,
		T	xz,
		T	yz
	)

shears matrix in three axis

Parameters

xy	shear in xy plane
xz	shear in yz plane
yz	shear in yz plane

◆ translate() [1/2]

template<class T >

IGOR_INLINE void iaMatrix::translate ( const iaVector3< T > & a )

translate the matrix by vector 3d

Parameters

a	translation vector

◆ translate() [2/2]

template<class T >

IGOR_INLINE void iaMatrix::translate	(	T	x,
		T	y,
		T	z
	)

translate the matrix by vector 3d

Parameters

x	x component
y	y component
z	z component

◆ transpose()

template<class T >

IGOR_INLINE void iaMatrix::transpose ( )

transposes the matrix

Member Data Documentation

◆ _depth

template<class T >

iaVector3<T> iaux::iaMatrix< T >::_depth

◆ _pos

template<class T >

iaVector3<T> iaux::iaMatrix< T >::_pos

◆ _right

template<class T >

iaVector3<T> iaux::iaMatrix< T >::_right

internal data

◆ _top

template<class T >

iaVector3<T> iaux::iaMatrix< T >::_top

◆ _w0

template<class T >

T iaux::iaMatrix< T >::_w0 = static_cast<T>(0)

◆ _w1

template<class T >

T iaux::iaMatrix< T >::_w1 = static_cast<T>(0)

◆ _w2

template<class T >

T iaux::iaMatrix< T >::_w2 = static_cast<T>(0)

◆ _w3

template<class T >

T iaux::iaMatrix< T >::_w3 = static_cast<T>(0)

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

/home/maddin/dev/Igor/src/iaux/iaux/math/iaMatrix.h
/home/maddin/dev/Igor/src/iaux/iaux/math/iaMatrix.inl

Public Member Functions

Public Attributes

Detailed Description

Constructor & Destructor Documentation

◆ iaMatrix()

◆ ~iaMatrix()

Member Function Documentation

◆ convert() [1/2]

◆ convert() [2/2]

◆ determinant()

◆ determinant3x3()

◆ frustum()

◆ getData() [1/2]

◆ getData() [2/2]

◆ grammSchmidt() [1/2]

◆ grammSchmidt() [2/2]

◆ identity()

◆ invert()

◆ lookAt()

◆ move() [1/2]

◆ move() [2/2]

◆ operator!=()

◆ operator*() [1/5]

◆ operator*() [2/5]

◆ operator*() [3/5]

◆ operator*() [4/5]

◆ operator*() [5/5]

◆ operator*=()

◆ operator+=()

◆ operator-=()

◆ operator==()

◆ operator[]() [1/2]

◆ operator[]() [2/2]

◆ ortho()

◆ perspective()

◆ rotate() [1/3]

◆ rotate() [2/3]

◆ rotate() [3/3]

◆ scale() [1/2]

◆ scale() [2/2]

◆ setData()

◆ shear() [1/2]

◆ shear() [2/2]

◆ translate() [1/2]

◆ translate() [2/2]

◆ transpose()

Member Data Documentation

◆ _depth

◆ _pos

◆ _right

◆ _top

◆ _w0

◆ _w1

◆ _w2

◆ _w3