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Geometric functions

These operate on vectors as vectors, not component-wise. More...

Collaboration diagram for Geometric functions: ## Functions

template<length_t L, typename T , qualifier Q>
GLM_FUNC_DECL T glm::length (vec< L, T, Q > const &x)
Returns the length of x, i.e., sqrt(x * x). More...

template<length_t L, typename T , qualifier Q>
GLM_FUNC_DECL T glm::distance (vec< L, T, Q > const &p0, vec< L, T, Q > const &p1)
Returns the distance betwwen p0 and p1, i.e., length(p0 - p1). More...

template<length_t L, typename T , qualifier Q>
GLM_FUNC_DECL T glm::dot (vec< L, T, Q > const &x, vec< L, T, Q > const &y)
Returns the dot product of x and y, i.e., result = x * y. More...

template<typename T , qualifier Q>
GLM_FUNC_DECL vec< 3, T, Q > glm::cross (vec< 3, T, Q > const &x, vec< 3, T, Q > const &y)
Returns the cross product of x and y. More...

template<length_t L, typename T , qualifier Q>
GLM_FUNC_DECL vec< L, T, Q > glm::normalize (vec< L, T, Q > const &x)
Returns a vector in the same direction as x but with length of 1. More...

template<length_t L, typename T , qualifier Q>
GLM_FUNC_DECL vec< L, T, Q > glm::faceforward (vec< L, T, Q > const &N, vec< L, T, Q > const &I, vec< L, T, Q > const &Nref)
If dot(Nref, I) < 0.0, return N, otherwise, return -N. More...

template<length_t L, typename T , qualifier Q>
GLM_FUNC_DECL vec< L, T, Q > glm::reflect (vec< L, T, Q > const &I, vec< L, T, Q > const &N)
For the incident vector I and surface orientation N, returns the reflection direction : result = I - 2.0 * dot(N, I) * N. More...

template<length_t L, typename T , qualifier Q>
GLM_FUNC_DECL vec< L, T, Q > glm::refract (vec< L, T, Q > const &I, vec< L, T, Q > const &N, T eta)
For the incident vector I and surface normal N, and the ratio of indices of refraction eta, return the refraction vector. More...

## Detailed Description

These operate on vectors as vectors, not component-wise.

Include <glm/geometric.hpp> to use these core features.

## ◆ cross()

template<typename T , qualifier Q>
 GLM_FUNC_DECL vec<3, T, Q> glm::cross ( vec< 3, T, Q > const & x, vec< 3, T, Q > const & y )

Returns the cross product of x and y.

Template Parameters
 T Floating-point scalar types.
GLSL cross man page
GLSL 4.20.8 specification, section 8.5 Geometric Functions

## ◆ distance()

template<length_t L, typename T , qualifier Q>
 GLM_FUNC_DECL T glm::distance ( vec< L, T, Q > const & p0, vec< L, T, Q > const & p1 )

Returns the distance betwwen p0 and p1, i.e., length(p0 - p1).

Template Parameters
 L An integer between 1 and 4 included that qualify the dimension of the vector. T Floating-point scalar types.
GLSL distance man page
GLSL 4.20.8 specification, section 8.5 Geometric Functions

## ◆ dot()

template<length_t L, typename T , qualifier Q>
 GLM_FUNC_DECL T glm::dot ( vec< L, T, Q > const & x, vec< L, T, Q > const & y )

Returns the dot product of x and y, i.e., result = x * y.

Template Parameters
 L An integer between 1 and 4 included that qualify the dimension of the vector. T Floating-point scalar types.
GLSL dot man page
GLSL 4.20.8 specification, section 8.5 Geometric Functions

## ◆ faceforward()

template<length_t L, typename T , qualifier Q>
 GLM_FUNC_DECL vec glm::faceforward ( vec< L, T, Q > const & N, vec< L, T, Q > const & I, vec< L, T, Q > const & Nref )

If dot(Nref, I) < 0.0, return N, otherwise, return -N.

Template Parameters
 L An integer between 1 and 4 included that qualify the dimension of the vector. T Floating-point scalar types.
GLSL faceforward man page
GLSL 4.20.8 specification, section 8.5 Geometric Functions

## ◆ length()

template<length_t L, typename T , qualifier Q>
 GLM_FUNC_DECL T glm::length ( vec< L, T, Q > const & x )

Returns the length of x, i.e., sqrt(x * x).

Template Parameters
 L An integer between 1 and 4 included that qualify the dimension of the vector. T Floating-point scalar types.
GLSL length man page
GLSL 4.20.8 specification, section 8.5 Geometric Functions

## ◆ normalize()

template<length_t L, typename T , qualifier Q>
 GLM_FUNC_DECL vec glm::normalize ( vec< L, T, Q > const & x )

Returns a vector in the same direction as x but with length of 1.

According to issue 10 GLSL 1.10 specification, if length(x) == 0 then result is undefined and generate an error.

Template Parameters
 L An integer between 1 and 4 included that qualify the dimension of the vector. T Floating-point scalar types.
GLSL normalize man page
GLSL 4.20.8 specification, section 8.5 Geometric Functions

## ◆ reflect()

template<length_t L, typename T , qualifier Q>
 GLM_FUNC_DECL vec glm::reflect ( vec< L, T, Q > const & I, vec< L, T, Q > const & N )

For the incident vector I and surface orientation N, returns the reflection direction : result = I - 2.0 * dot(N, I) * N.

Template Parameters
 L An integer between 1 and 4 included that qualify the dimension of the vector. T Floating-point scalar types.
GLSL reflect man page
GLSL 4.20.8 specification, section 8.5 Geometric Functions

## ◆ refract()

template<length_t L, typename T , qualifier Q>
 GLM_FUNC_DECL vec glm::refract ( vec< L, T, Q > const & I, vec< L, T, Q > const & N, T eta )

For the incident vector I and surface normal N, and the ratio of indices of refraction eta, return the refraction vector.

Template Parameters
 L An integer between 1 and 4 included that qualify the dimension of the vector. T Floating-point scalar types.