GLM_GTX_quaternion
Experimental extensions

## Functions

template<typename T , qualifier Q>
GLM_FUNC_DECL GLM_CONSTEXPR vec< 3, T, Q > | cross (qua< T, Q > const &q, vec< 3, T, Q > const &v)
| Compute a cross product between a quaternion and a vector. More...
template<typename T , qualifier Q>
GLM_FUNC_DECL GLM_CONSTEXPR vec< 3, T, Q > | cross (vec< 3, T, Q > const &v, qua< T, Q > const &q)
| Compute a cross product between a vector and a quaternion. More...
template<typename T , qualifier Q>
GLM_FUNC_DECL T | extractRealComponent (qua< T, Q > const &q)
| Extract the real component of a quaternion. More...
template<typename T , qualifier Q>
GLM_FUNC_DECL qua< T, Q > | fastMix (qua< T, Q > const &x, qua< T, Q > const &y, T const &a)
| Quaternion normalized linear interpolation. More...
template<typename T , qualifier Q>
GLM_FUNC_DECL qua< T, Q > | intermediate (qua< T, Q > const &prev, qua< T, Q > const &curr, qua< T, Q > const &next)
| Returns an intermediate control point for squad interpolation. More...
template<typename T , qualifier Q>
GLM_FUNC_DECL GLM_CONSTEXPR T | length2 (qua< T, Q > const &q)
| Returns the squared length of x. More...
template<typename T , qualifier Q>
GLM_FUNC_DECL GLM_CONSTEXPR qua< T, Q > | quat_identity ()
| Create an identity quaternion. More...
template<typename T , qualifier Q>
GLM_FUNC_DECL vec< 3, T, Q > | rotate (qua< T, Q > const &q, vec< 3, T, Q > const &v)
| Returns quarternion square root. More...
template<typename T , qualifier Q>
GLM_FUNC_DECL vec< 4, T, Q > | rotate (qua< T, Q > const &q, vec< 4, T, Q > const &v)
| Rotates a 4 components vector by a quaternion. More...
template<typename T , qualifier Q>
GLM_FUNC_DECL qua< T, Q > | rotation (vec< 3, T, Q > const &orig, vec< 3, T, Q > const &dest)
| Compute the rotation between two vectors. More...
template<typename T , qualifier Q>
GLM_FUNC_DECL qua< T, Q > | shortMix (qua< T, Q > const &x, qua< T, Q > const &y, T const &a)
| Quaternion interpolation using the rotation short path. More...
template<typename T , qualifier Q>
GLM_FUNC_DECL qua< T, Q > | squad (qua< T, Q > const &q1, qua< T, Q > const &q2, qua< T, Q > const &s1, qua< T, Q > const &s2, T const &h)
| Compute a point on a path according squad equation. More...
template<typename T , qualifier Q>
GLM_FUNC_QUALIFIER mat< 3, 3, T, Q > | toMat3 (qua< T, Q > const &x)
| Converts a quaternion to a 3 * 3 matrix. More...
template<typename T , qualifier Q>
GLM_FUNC_QUALIFIER mat< 4, 4, T, Q > | toMat4 (qua< T, Q > const &x)
| Converts a quaternion to a 4 * 4 matrix. More...
template<typename T , qualifier Q>
GLM_FUNC_QUALIFIER qua< T, Q > | toQuat (mat< 3, 3, T, Q > const &x)
| Converts a 3 * 3 matrix to a quaternion. More...
template<typename T , qualifier Q>
GLM_FUNC_QUALIFIER qua< T, Q > | toQuat (mat< 4, 4, T, Q > const &x)
| Converts a 4 * 4 matrix to a quaternion. More...

## Detailed Description

Include <glm/gtx/quaternion.hpp> to use the features of this extension.

Extended quaternion types and functions

## Function Documentation

## cross() [1/2]

GLM_FUNC_DECL GLM_CONSTEXPR vec<3, T, Q> glm::cross | ( | qua< T, Q > const & | q,
|  | vec< 3, T, Q > const & | v
| ) |  |

Compute a cross product between a quaternion and a vector.

See also
  GLM_GTX_quaternion

## cross() [2/2]

GLM_FUNC_DECL GLM_CONSTEXPR vec<3, T, Q> glm::cross | ( | vec< 3, T, Q > const & | v,
|  | qua< T, Q > const & | q
| ) |  |

Compute a cross product between a vector and a quaternion.

See also
  GLM_GTX_quaternion

## extractRealComponent()

GLM_FUNC_DECL T glm::extractRealComponent | ( | qua< T, Q > const & | q | ) |

Extract the real component of a quaternion.

See also
  GLM_GTX_quaternion

## fastMix()

GLM_FUNC_DECL qua<T, Q> glm::fastMix | ( | qua< T, Q > const & | x,
|  | qua< T, Q > const & | y,
|  | T const & | a
| ) |  |

Quaternion normalized linear interpolation.

See also
  GLM_GTX_quaternion

## intermediate()

GLM_FUNC_DECL qua<T, Q> glm::intermediate | ( | qua< T, Q > const & | prev,
|  | qua< T, Q > const & | curr,
|  | qua< T, Q > const & | next
| ) |  |

Returns an intermediate control point for squad interpolation.

See also
  GLM_GTX_quaternion

## length2()

GLM_FUNC_DECL GLM_CONSTEXPR T glm::length2 | ( | qua< T, Q > const & | q | ) |

Returns the squared length of x.

See also
  GLM_GTX_quaternion

## quat_identity()

GLM_FUNC_DECL GLM_CONSTEXPR qua<T, Q> glm::quat_identity | ( |  | ) |

Create an identity quaternion.

See also
  GLM_GTX_quaternion

## rotate() [1/2]

GLM_FUNC_DECL vec<3, T, Q> glm::rotate | ( | qua< T, Q > const & | q,
|  | vec< 3, T, Q > const & | v
| ) |  |

Returns quarternion square root.

See also
  GLM_GTX_quaternion Rotates a 3 components vector by a quaternion.
  GLM_GTX_quaternion

## rotate() [2/2]

GLM_FUNC_DECL vec<4, T, Q> glm::rotate | ( | qua< T, Q > const & | q,
|  | vec< 4, T, Q > const & | v
| ) |  |

Rotates a 4 components vector by a quaternion.

See also
  GLM_GTX_quaternion

## rotation()

GLM_FUNC_DECL qua<T, Q> glm::rotation | ( | vec< 3, T, Q > const & | orig,
|  | vec< 3, T, Q > const & | dest
| ) |  |

Compute the rotation between two vectors.

Parameters

  orig | vector, needs to be normalized
  dest | vector, needs to be normalized

See also
  GLM_GTX_quaternion

## shortMix()

GLM_FUNC_DECL qua<T, Q> glm::shortMix | ( | qua< T, Q > const & | x,
|  | qua< T, Q > const & | y,
|  | T const & | a
| ) |  |

Quaternion interpolation using the rotation short path.

See also
  GLM_GTX_quaternion

## squad()

GLM_FUNC_DECL qua<T, Q> glm::squad | ( | qua< T, Q > const & | q1,
|  | qua< T, Q > const & | q2,
|  | qua< T, Q > const & | s1,
|  | qua< T, Q > const & | s2,
|  | T const & | h
| ) |  |

Compute a point on a path according squad equation.

q1 and q2 are control points; s1 and s2 are intermediate control points.

See also
  GLM_GTX_quaternion

## toMat3()

GLM_FUNC_QUALIFIER mat<3, 3, T, Q> glm::toMat3 | ( | qua< T, Q > const & | x | ) |

Converts a quaternion to a 3 * 3 matrix.

See also
  GLM_GTX_quaternion

Definition at line 111 of file gtx/quaternion.hpp.

References glm::mat3_cast().

## toMat4()

GLM_FUNC_QUALIFIER mat<4, 4, T, Q> glm::toMat4 | ( | qua< T, Q > const & | x | ) |

Converts a quaternion to a 4 * 4 matrix.

See also
  GLM_GTX_quaternion

Definition at line 118 of file gtx/quaternion.hpp.

References glm::mat4_cast().

## toQuat() [1/2]

GLM_FUNC_QUALIFIER qua<T, Q> glm::toQuat | ( | mat< 3, 3, T, Q > const & | x | ) |

Converts a 3 * 3 matrix to a quaternion.

See also
  GLM_GTX_quaternion

Definition at line 125 of file gtx/quaternion.hpp.

References glm::quat_cast().

## toQuat() [2/2]

GLM_FUNC_QUALIFIER qua<T, Q> glm::toQuat | ( | mat< 4, 4, T, Q > const & | x | ) |

Converts a 4 * 4 matrix to a quaternion.

See also
  GLM_GTX_quaternion

Definition at line 132 of file gtx/quaternion.hpp.

References glm::quat_cast().