Mat4< T > Struct Template Reference

A 4x4 matrix class for 3D transformations. More...

#include <gin_mat4.h>

Public Member Functions
	Mat4 ()
Mat4	operator* (const Mat4 &other) const
	Matrix multiplication.
Vec3< T >	transformPoint (const Vec3< T > &v) const
	Transform a 3D point (applies full transformation including translation).
Vec3< T >	transformVector (const Vec3< T > &v) const
	Transform a 3D vector (applies rotation/scale only, no translation).
std::array< T, 4 >	project (const Vec3< T > &v) const
	Project a point and return clip-space coordinates (x, y, z, w).

Static Public Member Functions
static Mat4	identity ()
	Creates an identity matrix.
static Mat4	translation (T x, T y, T z)
	Creates a translation matrix.
static Mat4	translation (const Vec3< T > &v)
static Mat4	scale (T x, T y, T z)
	Creates a scaling matrix.
static Mat4	scale (T s)
static Mat4	rotationX (T angle)
	Creates a rotation matrix around the X axis (angle in radians).
static Mat4	rotationY (T angle)
	Creates a rotation matrix around the Y axis (angle in radians).
static Mat4	rotationZ (T angle)
	Creates a rotation matrix around the Z axis (angle in radians).
static Mat4	perspective (T fovY, T aspect, T nearZ, T farZ)
	Creates a perspective projection matrix.
static Mat4	orthographic (T left, T right, T bottom, T top, T nearZ, T farZ)
	Creates an orthographic projection matrix.
static Mat4	lookAt (const Vec3< T > &eye, const Vec3< T > &target, const Vec3< T > &up)
	Creates a look-at view matrix.

Public Attributes
std::array< std::array< T, 4 >, 4 >	m

Detailed Description

template<typename T>
struct Mat4< T >

A 4x4 matrix class for 3D transformations.

Stored in column-major order for OpenGL compatibility.

Constructor & Destructor Documentation

Mat4()

template<typename T >

Mat4< T >::Mat4

(

)

References Mat4< T >::m.

Referenced by Mat4< T >::identity().

Member Function Documentation

identity()

template<typename T >

static Mat4 Mat4< T >::identity ( )

static

Creates an identity matrix.

References Mat4< T >::Mat4().

translation() [1/2]

template<typename T >

static Mat4 Mat4< T >::translation ( T  x, T  y, T  z  )

static

Creates a translation matrix.

References Mat4< T >::m.

Referenced by Mat4< T >::translation().

translation() [2/2]

template<typename T >

static Mat4 Mat4< T >::translation ( const Vec3< T > &  v )

static

References Mat4< T >::translation(), Point< T >::x, and Point< T >::y.

scale() [1/2]

template<typename T >

static Mat4 Mat4< T >::scale ( T  x, T  y, T  z  )

static

Creates a scaling matrix.

References Mat4< T >::m.

Referenced by Mat4< T >::scale().

scale() [2/2]

template<typename T >

static Mat4 Mat4< T >::scale ( T  s )

static

References Mat4< T >::scale().

rotationX()

template<typename T >

static Mat4 Mat4< T >::rotationX ( T  angle )

static

Creates a rotation matrix around the X axis (angle in radians).

References Mat4< T >::m.

rotationY()

template<typename T >

static Mat4 Mat4< T >::rotationY ( T  angle )

static

Creates a rotation matrix around the Y axis (angle in radians).

References Mat4< T >::m.

rotationZ()

template<typename T >

static Mat4 Mat4< T >::rotationZ ( T  angle )

static

Creates a rotation matrix around the Z axis (angle in radians).

References Mat4< T >::m.

perspective()

template<typename T >

static Mat4 Mat4< T >::perspective ( T  fovY, T  aspect, T  nearZ, T  farZ  )

static

Creates a perspective projection matrix.

Parameters

fovY	Field of view in the Y direction (radians)
aspect	Aspect ratio (width / height)
nearZ	Near clipping plane
farZ	Far clipping plane

References Mat4< T >::m.

orthographic()

template<typename T >

static Mat4 Mat4< T >::orthographic ( T  left, T  right, T  bottom, T  top, T  nearZ, T  farZ  )

static

Creates an orthographic projection matrix.

References Mat4< T >::m.

lookAt()

template<typename T >

static Mat4 Mat4< T >::lookAt ( const Vec3< T > &  eye, const Vec3< T > &  target, const Vec3< T > &  up  )

static

Creates a look-at view matrix.

References Mat4< T >::m, Point< T >::x, and Point< T >::y.

operator*()

template<typename T >

Mat4 Mat4< T >::operator*

(

const Mat4< T > &

other

)

const

Matrix multiplication.

References Mat4< T >::m.

transformPoint()

template<typename T >

Vec3< T > Mat4< T >::transformPoint

(

const Vec3< T > &

v

)

const

Transform a 3D point (applies full transformation including translation).

References Mat4< T >::m, Point< T >::x, and Point< T >::y.

transformVector()

template<typename T >

Vec3< T > Mat4< T >::transformVector

(

const Vec3< T > &

v

)

const

Transform a 3D vector (applies rotation/scale only, no translation).

References Mat4< T >::m, Point< T >::x, and Point< T >::y.

project()

template<typename T >

std::array< T, 4 > Mat4< T >::project

(

const Vec3< T > &

v

)

const

Project a point and return clip-space coordinates (x, y, z, w).

References Mat4< T >::m, Point< T >::x, and Point< T >::y.

Member Data Documentation

m

template<typename T >

std::array<std::array<T, 4>, 4> Mat4< T >::m

Referenced by Object3D::getPosition(), Mat4< T >::lookAt(), Mat4< T >::Mat4(), Mat4< T >::operator*(), Mat4< T >::orthographic(), Mat4< T >::perspective(), Mat4< T >::project(), Mat4< T >::rotationX(), Mat4< T >::rotationY(), Mat4< T >::rotationZ(), Mat4< T >::scale(), Object3D::setPosition(), Mat4< T >::transformPoint(), Mat4< T >::transformVector(), and Mat4< T >::translation().

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

• gin_mat4.h