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# GLM_GTX_quaternion: Extented quaternion types and functions

GTX Extensions (Experimental)

Extented quaternion types and functions. More...

## Functions
template<typename valType >
valType | angle (detail::tquat< valType > const &x)
template<typename valType >
detail::tquat< valType > | angleAxis (valType const &angle, valType const &x, valType const &y, valType const &z)
template<typename valType >
detail::tquat< valType > | angleAxis (valType const &angle, detail::tvec3< valType > const &axis)
template<typename valType >
detail::tvec3< valType > | axis (detail::tquat< valType > const &x)
template<typename valType >
detail::tvec3< valType > | cross (detail::tquat< valType > const &q, detail::tvec3< valType > const &v)
template<typename valType >
detail::tvec3< valType > | cross (detail::tvec3< valType > const &v, detail::tquat< valType > const &q)
template<typename valType >
detail::tvec3< valType > | eulerAngles (detail::tquat< valType > const &x)
template<typename valType >
detail::tquat< valType > | exp (detail::tquat< valType > const &q, valType const &exponent)
template<typename valType >
valType | extractRealComponent (detail::tquat< valType > const &q)
template<typename T >
detail::tquat< T > | fastMix (detail::tquat< T > const &x, detail::tquat< T > const &y, T const &a)
template<typename valType >
detail::tquat< valType > | intermediate (detail::tquat< valType > const &prev, detail::tquat< valType > const &curr, detail::tquat< valType > const &next)
template<typename valType >
detail::tquat< valType > | log (detail::tquat< valType > const &q)
template<typename valType >
valType | pitch (detail::tquat< valType > const &x)
template<typename valType >
detail::tquat< valType > | pow (detail::tquat< valType > const &x, valType const &y)
template<typename valType >
valType | roll (detail::tquat< valType > const &x)
template<typename valType >
detail::tvec3< valType > | rotate (detail::tquat< valType > const &q, detail::tvec3< valType > const &v)
template<typename valType >
detail::tvec4< valType > | rotate (detail::tquat< valType > const &q, detail::tvec4< valType > const &v)
template<typename T >
detail::tquat< T > | shortMix (detail::tquat< T > const &x, detail::tquat< T > const &y, T const &a)
template<typename valType >
detail::tquat< valType > | squad (detail::tquat< valType > const &q1, detail::tquat< valType > const &q2, detail::tquat< valType > const &s1, detail::tquat< valType > const &s2, valType const &h)
template<typename valType >
detail::tmat3x3< valType > | toMat3 (detail::tquat< valType > const &x)
template<typename valType >
detail::tmat4x4< valType > | toMat4 (detail::tquat< valType > const &x)
template<typename valType >
detail::tquat< valType > | toQuat (detail::tmat4x4< valType > const &x)
template<typename valType >
detail::tquat< valType > | toQuat (detail::tmat3x3< valType > const &x)
template<typename valType >
valType | yaw (detail::tquat< valType > const &x)

## Detailed Description

Extented quaternion types and functions.

<glm/gtx/quaternion.hpp> need to be included to use these functionalities.

## Function Documentation

valType glm::angle | ( | detail::tquat< valType > const & | x | ) |

Returns the quaternion rotation angle.

From GLM_GTX_quaternion extension.

detail::tquat<valType> glm::angleAxis | ( | valType const & | angle,
|  | valType const & | x,
|  | valType const & | y,
|  | valType const & | z
| ) |  |

Build a quaternion from an angle and a normalized axis.

From GLM_GTX_quaternion extension.

detail::tquat<valType> glm::angleAxis | ( | valType const & | angle,
|  | detail::tvec3< valType > const & | axis
| ) |  |

Build a quaternion from an angle and a normalized axis.

From GLM_GTX_quaternion extension.

detail::tvec3<valType> glm::axis | ( | detail::tquat< valType > const & | x | ) |

Returns the q rotation axis.

From GLM_GTX_quaternion extension.

detail::tvec3<valType> glm::cross | ( | detail::tquat< valType > const & | q,
|  | detail::tvec3< valType > const & | v
| ) |  |

Compute a cross product between a quaternion and a vector.

From GLM_GTX_quaternion extension.

detail::tvec3<valType> glm::cross | ( | detail::tvec3< valType > const & | v,
|  | detail::tquat< valType > const & | q
| ) |  |

Compute a cross product between a vector and a quaternion.

From GLM_GTX_quaternion extension.

detail::tvec3<valType> glm::eulerAngles | ( | detail::tquat< valType > const & | x | ) |

Returns euler angles, yitch as x, yaw as y, roll as z.

From GLM_GTX_quaternion extension.

detail::tquat<valType> glm::exp | ( | detail::tquat< valType > const & | q,
|  | valType const & | exponent
| ) |  |

Returns a exp of a quaternion.

From GLM_GTX_quaternion extension.

valType glm::extractRealComponent | ( | detail::tquat< valType > const & | q | ) |

Extract the real component of a quaternion.

From GLM_GTX_quaternion extension.

detail::tquat<T> glm::fastMix | ( | detail::tquat< T > const & | x,
|  | detail::tquat< T > const & | y,
|  | T const & | a
| ) |  |

Quaternion normalized linear interpolation.

From GLM_GTX_quaternion extension.

detail::tquat<valType> glm::intermediate | ( | detail::tquat< valType > const & | prev,
|  | detail::tquat< valType > const & | curr,
|  | detail::tquat< valType > const & | next
| ) |  |

Returns an intermediate control point for squad interpolation.

From GLM_GTX_quaternion extension.

detail::tquat<valType> glm::log | ( | detail::tquat< valType > const & | q | ) |

Returns a log of a quaternion.

From GLM_GTX_quaternion extension.

valType glm::pitch | ( | detail::tquat< valType > const & | x | ) |

Returns pitch value of euler angles in degrees.

From GLM_GTX_quaternion extension.

detail::tquat<valType> glm::pow | ( | detail::tquat< valType > const & | x,
|  | valType const & | y
| ) |  |

Returns x raised to the y power.

From GLM_GTX_quaternion extension.

valType glm::roll | ( | detail::tquat< valType > const & | x | ) |

Returns roll value of euler angles in degrees.

From GLM_GTX_quaternion extension.

detail::tvec3<valType> glm::rotate | ( | detail::tquat< valType > const & | q,
|  | detail::tvec3< valType > const & | v
| ) |  |

Returns quarternion square root.

From GLM_GTX_quaternion extension. Rotates a 3 components vector by a quaternion. From GLM_GTX_transform extension.

detail::tvec4<valType> glm::rotate | ( | detail::tquat< valType > const & | q,
|  | detail::tvec4< valType > const & | v
| ) |  |

Rotates a 4 components vector by a quaternion.

From GLM_GTX_transform extension.

detail::tquat<T> glm::shortMix | ( | detail::tquat< T > const & | x,
|  | detail::tquat< T > const & | y,
|  | T const & | a
| ) |  |

Quaternion interpolation using the rotation short path.

From GLM_GTX_quaternion extension.

detail::tquat<valType> glm::squad | ( | detail::tquat< valType > const & | q1,
|  | detail::tquat< valType > const & | q2,
|  | detail::tquat< valType > const & | s1,
|  | detail::tquat< valType > const & | s2,
|  | valType const & | h
| ) |  |

Compute a point on a path according squad equation.

q1 and q2 are control points; s1 and s2 are intermediate control points. From GLM_GTX_quaternion extension.

detail::tmat3x3<valType> glm::toMat3 | ( | detail::tquat< valType > const & | x | ) |

Converts a quaternion to a 3 * 3 matrix.

From GLM_GTX_quaternion extension.

Definition at line 189 of file gtx/quaternion.hpp.

References glm::mat3_cast().

detail::tmat4x4<valType> glm::toMat4 | ( | detail::tquat< valType > const & | x | ) |

Converts a quaternion to a 4 * 4 matrix.

From GLM_GTX_quaternion extension.

Definition at line 195 of file gtx/quaternion.hpp.

References glm::mat4_cast().

detail::tquat<valType> glm::toQuat | ( | detail::tmat4x4< valType > const & | x | ) |

Converts a 4 * 4 matrix to a quaternion.

From GLM_GTX_quaternion extension.

Definition at line 207 of file gtx/quaternion.hpp.

References glm::quat_cast().

detail::tquat<valType> glm::toQuat | ( | detail::tmat3x3< valType > const & | x | ) |

Converts a 3 * 3 matrix to a quaternion.

From GLM_GTX_quaternion extension.

Definition at line 201 of file gtx/quaternion.hpp.

References glm::quat_cast().

valType glm::yaw | ( | detail::tquat< valType > const & | x | ) |

Returns yaw value of euler angles in degrees.

From GLM_GTX_quaternion extension.