# GLM: glm::gtx::quaternion Namespace Reference

# glm::gtx::quaternion Namespace Reference

GLM_GTX_quaternion extension: Quaternion types and functions. More...

## Functions

template<typename valType >
valType | angle (detail::tquat< valType > const &x)
| Returns the q rotation angle.
template<typename valType >
detail::tquat< valType > | angleAxis (valType const &angle, detail::tvec3< valType > const &v)
| Build a quaternion from an angle and an axis.
template<typename valType >
detail::tquat< valType > | angleAxis (valType const &angle, valType const &x, valType const &y, valType const &z)
| Build a quaternion from an angle and an axis.
template<typename valType >
detail::tvec3< valType > | axis (detail::tquat< valType > const &x)
| Returns the q rotation axis.
template<typename valType >
detail::tvec3< valType > | cross (detail::tvec3< valType > const &v, detail::tquat< valType > const &q)
| Compute a cross product between a vector and a quaternion.
template<typename valType >
detail::tvec3< valType > | cross (detail::tquat< valType > const &q, detail::tvec3< valType > const &v)
| Compute a cross product between a quaternion and a vector.
template<typename valType >
detail::tvec3< valType > | eularAngles (detail::tquat< valType > const &x)
| Returns euler angles, yitch as x, yaw as y, roll as z.
template<typename valType >
detail::tquat< valType > | exp (detail::tquat< valType > const &q, valType const &exponent)
| Returns a exp of a quaternion.
template<typename valType >
valType | extractRealComponent (detail::tquat< valType > const &q)
| Extract the real component of a quaternion.
template<typename valType >
detail::tquat< valType > | intermediate (detail::tquat< valType > const &prev, detail::tquat< valType > const &curr, detail::tquat< valType > const &next)
| Returns an intermediate control point for squad interpolation.
template<typename valType >
detail::tquat< valType > | log (detail::tquat< valType > const &q)
| Returns a log of a quaternion.
template<typename valType >
valType | pitch (detail::tquat< valType > const &x)
| Returns pitch value of euler angles.
template<typename valType >
detail::tquat< valType > | pow (detail::tquat< valType > const &x, valType const &y)
| Returns x raised to the y power.
template<typename valType >
valType | roll (detail::tquat< valType > const &x)
| Returns roll value of euler angles.
template<typename valType >
detail::tvec4< valType > | rotate (detail::tquat< valType > const &q, detail::tvec4< valType > const &v)
| Rotates a 4 components vector by a quaternion.
template<typename valType >
detail::tvec3< valType > | rotate (detail::tquat< valType > const &q, detail::tvec3< valType > const &v)
| Returns quarternion square root.
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)
| Compute a point on a path according squad equation.
template<typename valType >
detail::tmat3x3< valType > | toMat3 (detail::tquat< valType > const &x)
| Converts a quaternion to a 3 * 3 matrix.
template<typename valType >
detail::tmat4x4< valType > | toMat4 (detail::tquat< valType > const &x)
| Converts a quaternion to a 4 * 4 matrix.
template<typename valType >
detail::tquat< valType > | toQuat (detail::tmat4x4< valType > const &x)
| Converts a 4 * 4 matrix to a quaternion.
template<typename valType >
detail::tquat< valType > | toQuat (detail::tmat3x3< valType > const &x)
| Converts a 3 * 3 matrix to a quaternion.
template<typename valType >
valType | yaw (detail::tquat< valType > const &x)
| Returns yaw value of euler angles.

## Detailed Description

GLM_GTX_quaternion extension: Quaternion types and functions.

## Function Documentation

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

Returns the q rotation angle.

From GLM_GTX_quaternion extension.

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

Build a quaternion from an angle and an axis.

From GLM_GTX_quaternion extension.

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

Build a quaternion from an angle and an axis.

From GLM_GTX_quaternion extension.

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

Returns the q rotation axis.

From GLM_GTX_quaternion extension.

detail::tvec3<valType> glm::gtx::quaternion::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::gtx::quaternion::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::gtx::quaternion::eularAngles | ( | 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::gtx::quaternion::exp | ( | detail::tquat< valType > const & | q,
|  | valType const & | exponent |
| ) |  |  |

Returns a exp of a quaternion.

From GLM_GTX_quaternion extension.

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

Extract the real component of a quaternion.

From GLM_GTX_quaternion extension.

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

Returns a log of a quaternion.

From GLM_GTX_quaternion extension.

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

Returns pitch value of euler angles.

From GLM_GTX_quaternion extension.

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

Returns x raised to the y power.

From GLM_GTX_quaternion extension.

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

Returns roll value of euler angles.

From GLM_GTX_quaternion extension.

detail::tvec4<valType> glm::gtx::quaternion::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::tvec3<valType> glm::gtx::quaternion::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::tquat<valType> glm::gtx::quaternion::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::gtx::quaternion::toMat3 | ( | detail::tquat< valType > const & | x | ) |

Converts a quaternion to a 3 * 3 matrix.

From GLM_GTX_quaternion extension.

Definition at line 166 of file gtx/quaternion.hpp.

References glm::gtc::quaternion::mat3_cast().

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

Converts a quaternion to a 4 * 4 matrix.

From GLM_GTX_quaternion extension.

Definition at line 172 of file gtx/quaternion.hpp.

References glm::gtc::quaternion::mat4_cast().

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

Converts a 4 * 4 matrix to a quaternion.

From GLM_GTX_quaternion extension.

Definition at line 184 of file gtx/quaternion.hpp.

References glm::gtc::quaternion::quat_cast().

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

Converts a 3 * 3 matrix to a quaternion.

From GLM_GTX_quaternion extension.

Definition at line 178 of file gtx/quaternion.hpp.

References glm::gtc::quaternion::quat_cast().

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

Returns yaw value of euler angles.

From GLM_GTX_quaternion extension.