Math::Utils Namespace Reference

Functions
template<class V >
float	distance (const V &a, const V &b)
template<class T >
vec2< T >	normalize (const vec2< T > &a)
template<class T >
vec3< T >	normalize (const vec3< T > &a)
template<class T >
vec4< T >	normalize (const vec4< T > &a)
template<class T >
mat4< T >	translate (const mat4< T > &M, const vec3< T > &V)
template<class T >
mat4< T >	lookAt (const vec3< T > &eye, const vec3< T > &center, const vec3< T > &up)
template<class T >
mat4< T >	ortho (const float &left, const float &right, const float &bottom, const float &top)
template<class T >
mat4< T >	perspective (const float &FOV, const float &width, const float &height, const float &zNear, const float &zFar)
template<class T >
mat4< T >	angleAxis (const float &angle, const vec3< T > &axis)
template<class T >
mat4< T >	scale (const mat4< T > &mat, const float &factor)
template<class T >
mat4< T >	scale (const mat4< T > &mat, const vec3< T > &factor)
template<typename T , typename U >
vec3< T >	unProject (vec3< T > const &win, mat4< T > const &model, mat4< T > const &proj, vec4< U > const &viewport)
template<class T >
mat4< T >	rotate (const mat4< T > &m, const float &angle, vec3< T > u)
template<class T >
vec3< T >	max (const vec3< T > &a, const vec3< T > &b)
template<class T >
vec3< T >	lerp (const vec3< T > &p1, const vec3< T > &p2, const float &v)
template<class T >
vec4< T >	lerp (const vec4< T > &p1, const vec4< T > &p2, const float &v)

Function Documentation

angleAxis()

template<class T >

mat4< T > Math::Utils::angleAxis	(	const float &	angle,
		const vec3< T > &	axis
	)

Template Parameters

T

Parameters

angle
axis

Returns

Examples

TestUtils.cpp.

distance()

template<class V >

float Math::Utils::distance	(	const V &	a,
		const V &	b
	)

Calculates distance between given vectors

Template Parameters

V

Parameters

a
b

Returns

Examples

TestUtils.cpp.

lerp() [1/2]

template<class T >

vec3< T > Math::Utils::lerp	(	const vec3< T > &	p1,
		const vec3< T > &	p2,
		const float &	v
	)

linear interpolates a 3D-vector by given values

Template Parameters

T

Parameters

p1
p2
v

Returns

Examples

TestUtils.cpp.

lerp() [2/2]

template<class T >

vec4< T > Math::Utils::lerp	(	const vec4< T > &	p1,
		const vec4< T > &	p2,
		const float &	v
	)

linear interpolates a 4D-vector by given values

Template Parameters

T

Parameters

p1
p2
v

Returns

lookAt()

template<class T >

mat4< T > Math::Utils::lookAt	(	const vec3< T > &	eye,
		const vec3< T > &	center,
		const vec3< T > &	up
	)

Computes look at matrix for given data

Template Parameters

T

Parameters

eye
center
up

Returns

Examples

TestUtils.cpp.

max()

template<class T >

vec3< T > Math::Utils::max	(	const vec3< T > &	a,
		const vec3< T > &	b
	)

Computes max-value between two given 3D-vectors

Template Parameters

T

Parameters

a
b

Returns

Examples

TestUtils.cpp.

normalize() [1/3]

template<class T >

vec2< T > Math::Utils::normalize

(

const vec2< T > &

a

)

helper to normalize 2D-vector

Template Parameters

T

Parameters

a

Returns

Examples

TestUtils.cpp.

normalize() [2/3]

template<class T >

vec3< T > Math::Utils::normalize

(

const vec3< T > &

a

)

helper to normalize 3D-vector

Template Parameters

T

Parameters

a

Returns

normalize() [3/3]

template<class T >

vec4< T > Math::Utils::normalize

(

const vec4< T > &

a

)

helper to normalize 4D-vector

Template Parameters

T

Parameters

a

Returns

ortho()

template<class T >

mat4< T > Math::Utils::ortho	(	const float &	left,
		const float &	right,
		const float &	bottom,
		const float &	top
	)

calculates orthogonal projection plane

Template Parameters

T

Parameters

left
right
bottom
top

Returns

perspective()

template<class T >

mat4< T > Math::Utils::perspective	(	const float &	FOV,
		const float &	width,
		const float &	height,
		const float &	zNear,
		const float &	zFar
	)

Computes perspective projection matrix

Template Parameters

T

Parameters

FOV
width
height
zNear
zFar

Returns

rotate()

template<class T >

mat4< T > Math::Utils::rotate	(	const mat4< T > &	m,
		const float &	angle,
		vec3< T >	u
	)

Rotates a given matrix m by an angle angle around given axis u

Template Parameters

T

Parameters

m
angle
u

Returns

Examples

TestUtils.cpp.

scale() [1/2]

template<class T >

mat4< T > Math::Utils::scale	(	const mat4< T > &	mat,
		const float &	factor
	)

scales a given matrix by a factor

Template Parameters

T

Parameters

mat
factor

Returns

Examples

TestUtils.cpp.

scale() [2/2]

template<class T >

mat4< T > Math::Utils::scale	(	const mat4< T > &	mat,
		const vec3< T > &	factor
	)

translate()

template<class T >

mat4< T > Math::Utils::translate	(	const mat4< T > &	M,
		const vec3< T > &	V
	)

Translates a given 4-by-4 matrix M by given vector V

Template Parameters

T

Parameters

M
V

Returns

Examples

TestUtils.cpp.

unProject()

template<typename T , typename U >

vec3< T > Math::Utils::unProject	(	vec3< T > const &	win,
		mat4< T > const &	model,
		mat4< T > const &	proj,
		vec4< U > const &	viewport
	)

Inverts projection

Template Parameters

T
U

Parameters

win	3D point to convert from window space
model	(model * view)-matrix
proj	projection matrix
viewport	4D vector for window viewport (most likely { 0, 0, SCREEN_WIDTH, SCREEN_WIDTH })

Returns