MathUtils3d Class Reference

3d space math utils More...

#include <MathUtils3d.hpp>

Static Public Member Functions
static TVecN< float, 3 >	Multiply (const Mat4x4f &m, const TVecN< float, 3 > &v)
static Mat4x4f	IdentityMatrix ()
	Identity matrix e. More...
static void	SetScale (Mat4x4f &m, const Vec3f &scale)
	Set scale elements. More...
static Mat4x4f	Scale (const Vec3f &scale)
static void	SetTranslation (Mat4x4f &m, const Vec3f &t)
	Set translation column of matrix m to vec t. More...
static Mat4x4f	Translate (const Vec3f &t)
	Translation in the direction of vec t. More...
static Mat4x4f	RotateX (float angleRad)
	Clockwise around axis rotation. More...
static Mat4x4f	RotateY (float angleRad)
	Clockwise around axis rotation. More...
static Mat4x4f	RotateZ (float angleRad)
	Clockwise around axis rotation. More...
static Mat4x4f	Rotate (const Vec3f &axis, float angleRad)
	Clockwise rotation around an arbitrary axis. More...
static Mat4x4f	LookAt (const Vec3f &eye, const Vec3f &direction, const Vec3f &up)
	Look at view matrix for camera (in OpenGL style) More...
static Mat4x4f	Perspective (float fov, float aspect, float near, float far)
	Perspective projection. More...
static Mat4x4f	Orthographic (float left, float right, float bottom, float top, float near, float far)
	Orthographic projection. More...

Detailed Description

3d space math utils

Member Function Documentation

IdentityMatrix()

static Mat4x4f MathUtils3d::IdentityMatrix ( )

inlinestatic

Identity matrix e.

LookAt()

static Mat4x4f MathUtils3d::LookAt ( const Vec3f &  eye, const Vec3f &  direction, const Vec3f &  up  )

inlinestatic

Look at view matrix for camera (in OpenGL style)

 | y
 |
 |_____ x
/

/ /z

Note

Final are is located in the negative z space

Parameters

eye	Current viewer position
direction	Direction vector of viewing
up	Up vector to define orientation

Returns

Look matrix to transform world position to the View space

Multiply()

static TVecN<float, 3> MathUtils3d::Multiply ( const Mat4x4f &  m, const TVecN< float, 3 > &  v  )

inlinestatic

Orthographic()

static Mat4x4f MathUtils3d::Orthographic ( float  left, float  right, float  bottom, float  top, float  near, float  far  )

inlinestatic

Orthographic projection.

Perspective projection to range [-1..1]x[-1..1]x[-1..1]. Note that z axis value are in range [-1..1] (as in OpenGL).

Warning

Left < right

Bottom < top

Near < far

Returns

Orthographic matrix

Perspective()

static Mat4x4f MathUtils3d::Perspective ( float  fov, float  aspect, float  near, float  far  )

inlinestatic

Perspective projection.

Perspective projection to range [-1..1]x[-1..1]x[-1..1]. Note that z axis value are in range [-1..1] (as in OpenGL).

Warning

fov should be me more than 0

aspect should be more than 0

Parameters

fov	Angle between top and bottom sides in radians
aspect	Width / height ratio
near	Near clip plane
far	Far clip plane

Returns

Perspective matrix

Rotate()

static Mat4x4f MathUtils3d::Rotate ( const Vec3f &  axis, float  angleRad  )

inlinestatic

Clockwise rotation around an arbitrary axis.

RotateX()

static Mat4x4f MathUtils3d::RotateX ( float  angleRad )

inlinestatic

Clockwise around axis rotation.

RotateY()

static Mat4x4f MathUtils3d::RotateY ( float  angleRad )

inlinestatic

Clockwise around axis rotation.

RotateZ()

static Mat4x4f MathUtils3d::RotateZ ( float  angleRad )

inlinestatic

Clockwise around axis rotation.

Scale()

static Mat4x4f MathUtils3d::Scale ( const Vec3f &  scale )

inlinestatic

SetScale()

static void MathUtils3d::SetScale ( Mat4x4f &  m, const Vec3f &  scale  )

inlinestatic

Set scale elements.

SetTranslation()

static void MathUtils3d::SetTranslation ( Mat4x4f &  m, const Vec3f &  t  )

inlinestatic

Set translation column of matrix m to vec t.

Translate()

static Mat4x4f MathUtils3d::Translate ( const Vec3f &  t )

inlinestatic

Translation in the direction of vec t.

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

• code/runtime/core/math/MathUtils3d.hpp