_matrix44 Class Reference
[Math Data Types]

#include <_matrix44.h>

Detailed Description

Generic matrix44 class.

Definition at line 28 of file _matrix44.h.


Public Member Functions
	_matrix44 ()
	constructor 1
	_matrix44 (const _vector4 &v0, const _vector4 &v1, const _vector4 &v2, const _vector4 &v3)
	constructor 2
	_matrix44 (const _matrix44 &m1)
	constructor 3
	_matrix44 (float _m11, float _m12, float _m13, float _m14, float _m21, float _m22, float _m23, float _m24, float _m31, float _m32, float _m33, float _m34, float _m41, float _m42, float _m43, float _m44)
	constructor 4
	_matrix44 (const quaternion &q)
	construct from quaternion
quaternion	get_quaternion () const
	convert to quaternion
void	set (const _vector4 &v0, const _vector4 &v1, const _vector4 &v2, const _vector4 &v3)
	set 1
void	set (const _matrix44 &m1)
	set 2
void	set (float _m11, float _m12, float _m13, float _m14, float _m21, float _m22, float _m23, float _m24, float _m31, float _m32, float _m33, float _m34, float _m41, float _m42, float _m43, float _m44)
	set 3
void	set (const quaternion &q)
	set from quaternion
void	ident ()
	set to identity
void	transpose ()
	transpose
float	det ()
	determinant
void	invert ()
	full invert
void	invert_simple ()
	quick invert (if 3x3 rotation and translation)
void	mult_simple (const _matrix44 &m1)
	quick multiplication, assumes that M14==M24==M34==0 and M44==1
_vector3	transform_coord (const _vector3 &v) const
	transform vector3, projecting back into w=1
_vector3 &	x_component () const
	return x component
_vector3 &	y_component () const
	return y component
_vector3 &	z_component () const
	return z component
_vector3 &	pos_component () const
	return translate component
void	rotate_x (const float a)
	rotate around global x
void	rotate_y (const float a)
	rotate around global y
void	rotate_z (const float a)
	rotate around global z
void	rotate (const _vector3 &vec, float a)
	rotate about any axis
void	translate (const _vector3 &t)
	translate
void	set_translation (const _vector3 &t)
	set absolute translation
void	scale (const _vector3 &s)
	scale
void	lookatLh (const _vector3 &to, const _vector3 &up)
	lookat in a left-handed coordinate system
void	lookatRh (const _vector3 &to, const _vector3 &up)
	lookat in a right-handed coordinate system
void	perspFovLh (float fovY, float aspect, float zn, float zf)
	create left-handed field-of-view perspective projection matrix
void	perspFovRh (float fovY, float aspect, float zn, float zf)
	create right-handed field-of-view perspective projection matrix
void	perspOffCenterLh (float minX, float maxX, float minY, float maxY, float zn, float zf)
	create off-center left-handed perspective projection matrix
void	perspOffCenterRh (float minX, float maxX, float minY, float maxY, float zn, float zf)
	create off-center right-handed perspective projection matrix
void	orthoLh (float w, float h, float zn, float zf)
	create left-handed orthogonal projection matrix
void	orthoRh (float w, float h, float zn, float zf)
	create right-handed orthogonal projection matrix
void	billboard (const _vector3 &to, const _vector3 &up)
	restricted lookat
void	operator *= (const _matrix44 &m1)
	inplace matrix multiply
void	mult (const _vector4 &src, _vector4 &dst) const
	multiply source vector into target vector, eliminates tmp vector
void	mult (const _vector3 &src, _vector3 &dst) const
	multiply source vector into target vector, eliminates tmp vector
vector3	mult_divw (const _vector3 &v) const
	multiply and divide by w
void	weighted_madd (const _vector3 &src, _vector3 &dst, float weight) const
	fast multiply-add with weighting
Public Attributes
float	m [4][4]
Static Public Attributes
static const _matrix44	identity = _matrix44()
static const _matrix44	ortho

Constructor & Destructor Documentation

_matrix44::_matrix44 ( ) [inline]

constructor 1

Definition at line 133 of file _matrix44.h.

_matrix44::_matrix44	(	const _vector4 &	v0,
		const _vector4 &	v1,
		const _vector4 &	v2,
		const _vector4 &	v3
	)	`[inline]`

constructor 2

Definition at line 142 of file _matrix44.h.

_matrix44::_matrix44 ( const _matrix44 & m1 ) [inline]

constructor 3

Definition at line 154 of file _matrix44.h.

_matrix44::_matrix44	(	float	_m11,
		float	_m12,
		float	_m13,
		float	_m14,
		float	_m21,
		float	_m22,
		float	_m23,
		float	_m24,
		float	_m31,
		float	_m32,
		float	_m33,
		float	_m34,
		float	_m41,
		float	_m42,
		float	_m43,
		float	_m44
	)	`[inline]`

constructor 4

Definition at line 163 of file _matrix44.h.

_matrix44::_matrix44 ( const quaternion & q ) [inline]

construct from quaternion

Definition at line 178 of file _matrix44.h.

Member Function Documentation

quaternion _matrix44::get_quaternion ( ) const [inline]

convert to quaternion

convert orientation of 4x4 matrix into quaterion, 4x4 matrix must not be scaled!

Definition at line 210 of file _matrix44.h.

void _matrix44::set	(	const _vector4 &	v0,
		const _vector4 &	v1,
		const _vector4 &	v2,
		const _vector4 &	v3
	)	`[inline]`

set 1

Definition at line 247 of file _matrix44.h.

void _matrix44::set ( const _matrix44 & m1 ) [inline]

set 2

Definition at line 260 of file _matrix44.h.

void _matrix44::set	(	float	_m11,
		float	_m12,
		float	_m13,
		float	_m14,
		float	_m21,
		float	_m22,
		float	_m23,
		float	_m24,
		float	_m31,
		float	_m32,
		float	_m33,
		float	_m34,
		float	_m41,
		float	_m42,
		float	_m43,
		float	_m44
	)	`[inline]`

set 3

Definition at line 270 of file _matrix44.h.

void _matrix44::set ( const quaternion & q ) [inline]

set from quaternion

Definition at line 286 of file _matrix44.h.

void _matrix44::ident ( ) [inline]

set to identity

Definition at line 316 of file _matrix44.h.

void _matrix44::transpose ( ) [inline]

transpose

Definition at line 326 of file _matrix44.h.

float _matrix44::det ( ) [inline]

determinant

Definition at line 343 of file _matrix44.h.

void _matrix44::invert ( ) [inline]

full invert

Definition at line 359 of file _matrix44.h.

void _matrix44::invert_simple ( ) [inline]

quick invert (if 3x3 rotation and translation)

inverts a 4x4 matrix consisting of a 3x3 rotation matrix and a translation (eg. everything that has [0,0,0,1] as the rightmost column) MUCH cheaper then a real 4x4 inversion

Definition at line 391 of file _matrix44.h.

void _matrix44::mult_simple ( const _matrix44 & m1 ) [inline]

quick multiplication, assumes that M14==M24==M34==0 and M44==1

optimized multiplication, assumes that M14==M24==M34==0 AND M44==1

Definition at line 421 of file _matrix44.h.

_vector3 _matrix44::transform_coord ( const _vector3 & v ) const [inline]

transform vector3, projecting back into w=1

Transforms a vector by the matrix, projecting the result back into w=1.

Definition at line 448 of file _matrix44.h.

_vector3 & _matrix44::x_component ( ) const [inline]

return x component

Returns:: the first row of the matrix. (M11, M12 and M13)

Definition at line 463 of file _matrix44.h.

_vector3 & _matrix44::y_component ( ) const [inline]

return y component

Returns:: the second row of the matrix. (M21, M22 and M23)

Definition at line 474 of file _matrix44.h.

_vector3 & _matrix44::z_component ( ) const [inline]

return z component

Returns:: the third row of the matrix. (M31, M32 and M33)

Definition at line 485 of file _matrix44.h.

_vector3 & _matrix44::pos_component ( ) const [inline]

return translate component

Returns:: the 4th row of the matrix. (M41, M42 and M43)

Definition at line 496 of file _matrix44.h.

void _matrix44::rotate_x ( const float a ) [inline]

rotate around global x

Definition at line 506 of file _matrix44.h.

void _matrix44::rotate_y ( const float a ) [inline]

rotate around global y

Definition at line 524 of file _matrix44.h.

void _matrix44::rotate_z ( const float a ) [inline]

rotate around global z

Definition at line 542 of file _matrix44.h.

void _matrix44::rotate	(	const _vector3 &	vec,
		float	a
	)	`[inline]`

rotate about any axis

Definition at line 759 of file _matrix44.h.

void _matrix44::translate ( const _vector3 & t ) [inline]

translate

Definition at line 560 of file _matrix44.h.

void _matrix44::set_translation ( const _vector3 & t ) [inline]

set absolute translation

Definition at line 572 of file _matrix44.h.

void _matrix44::scale ( const _vector3 & s ) [inline]

scale

Definition at line 584 of file _matrix44.h.

void _matrix44::lookatLh	(	const _vector3 &	to,
		const _vector3 &	up
	)	`[inline]`

lookat in a left-handed coordinate system

Definition at line 618 of file _matrix44.h.

void _matrix44::lookatRh	(	const _vector3 &	to,
		const _vector3 &	up
	)	`[inline]`

lookat in a right-handed coordinate system

Definition at line 600 of file _matrix44.h.

void _matrix44::perspFovLh	(	float	fovY,
		float	aspect,
		float	zn,
		float	zf
	)	`[inline]`

create left-handed field-of-view perspective projection matrix

Definition at line 636 of file _matrix44.h.

void _matrix44::perspFovRh	(	float	fovY,
		float	aspect,
		float	zn,
		float	zf
	)	`[inline]`

create right-handed field-of-view perspective projection matrix

Definition at line 651 of file _matrix44.h.

void _matrix44::perspOffCenterLh	(	float	minX,
		float	maxX,
		float	minY,
		float	maxY,
		float	zn,
		float	zf
	)	`[inline]`

create off-center left-handed perspective projection matrix

Definition at line 666 of file _matrix44.h.

void _matrix44::perspOffCenterRh	(	float	minX,
		float	maxX,
		float	minY,
		float	maxY,
		float	zn,
		float	zf
	)	`[inline]`

create off-center right-handed perspective projection matrix

Definition at line 679 of file _matrix44.h.

void _matrix44::orthoLh	(	float	w,
		float	h,
		float	zn,
		float	zf
	)	`[inline]`

create left-handed orthogonal projection matrix

Definition at line 692 of file _matrix44.h.

void _matrix44::orthoRh	(	float	w,
		float	h,
		float	zn,
		float	zf
	)	`[inline]`

create right-handed orthogonal projection matrix

Definition at line 705 of file _matrix44.h.

void _matrix44::billboard	(	const _vector3 &	to,
		const _vector3 &	up
	)	`[inline]`

restricted lookat

Definition at line 718 of file _matrix44.h.

void _matrix44::operator *= ( const _matrix44 & m1 ) [inline]

inplace matrix multiply

Definition at line 738 of file _matrix44.h.

void _matrix44::mult	(	const _vector4 &	src,
		_vector4 &	dst
	)	const `[inline]`

multiply source vector into target vector, eliminates tmp vector

Definition at line 785 of file _matrix44.h.

void _matrix44::mult	(	const _vector3 &	src,
		_vector3 &	dst
	)	const `[inline]`

multiply source vector into target vector, eliminates tmp vector

Definition at line 798 of file _matrix44.h.

vector3 _matrix44::mult_divw ( const _vector3 & v ) const [inline]

multiply and divide by w

Definition at line 881 of file _matrix44.h.

void _matrix44::weighted_madd	(	const _vector3 &	src,
		_vector3 &	dst,
		float	weight
	)	const `[inline]`

fast multiply-add with weighting

Perform a multiply-add with weighting (this is quite specialized for CPU-skinning)

Definition at line 812 of file _matrix44.h.

Member Data Documentation

const _matrix44 _matrix44::identity = _matrix44() [static]

Definition at line 3 of file _matrix44.cc.

const _matrix44 _matrix44::ortho [static]

Initial value:

 _matrix44(0.5f, 0.0f,    0.0f, 0.0f,
                                             0.0f, 0.6667f, 0.0f, 0.0f,
                                             0.0f, 0.0f,   -0.5f, 0.0f,
                                             0.0f, 0.0f,    0.5f, 1.0f)

Definition at line 5 of file _matrix44.cc.

float _matrix44::m[4][4]

Definition at line 126 of file _matrix44.h.

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

Documentation

Links

_matrix44 Class Reference [Math Data Types]

Detailed Description

Public Member Functions

Public Attributes

Static Public Attributes

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation

_matrix44 Class Reference
[Math Data Types]