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Defines a templated quaternion type and several quaternion operations. More...
Typedefs | |
typedef detail::tquat< float > | glm::quat |
typedef detail::tquat< detail::half > | glm::hquat |
typedef detail::tquat< float > | glm::fquat |
typedef detail::tquat< double > | glm::dquat |
typedef detail::tquat< lowp_float > | glm::lowp_quat |
typedef detail::tquat< mediump_float > | glm::mediump_quat |
typedef detail::tquat< highp_float > | glm::highp_quat |
Functions | |
template<typename T > | |
T | glm::length (detail::tquat< T > const &q) |
template<typename T > | |
detail::tquat< T > | glm::normalize (detail::tquat< T > const &q) |
template<typename T > | |
T | glm::dot (detail::tquat< T > const &q1, detail::tquat< T > const &q2) |
template<typename T > | |
detail::tquat< T > | glm::mix (detail::tquat< T > const &x, detail::tquat< T > const &y, T const &a) |
template<typename T > | |
detail::tquat< T > | glm::lerp (detail::tquat< T > const &x, detail::tquat< T > const &y, T const &a) |
template<typename T > | |
detail::tquat< T > | glm::slerp (detail::tquat< T > const &x, detail::tquat< T > const &y, T const &a) |
Returns the slurp interpolation between two quaternions. More... | |
template<typename T > | |
detail::tquat< T > | glm::conjugate (detail::tquat< T > const &q) |
template<typename T > | |
detail::tquat< T > | glm::inverse (detail::tquat< T > const &q) |
template<typename T > | |
detail::tquat< T > | glm::rotate (detail::tquat< T > const &q, typename detail::tquat< T >::value_type const &angle, detail::tvec3< T > const &axis) |
template<typename T > | |
detail::tvec3< T > | glm::eulerAngles (detail::tquat< T > const &x) |
template<typename valType > | |
valType | glm::roll (detail::tquat< valType > const &x) |
template<typename valType > | |
valType | glm::pitch (detail::tquat< valType > const &x) |
template<typename valType > | |
valType | glm::yaw (detail::tquat< valType > const &x) |
template<typename T > | |
detail::tmat3x3< T > | glm::mat3_cast (detail::tquat< T > const &x) |
template<typename T > | |
detail::tmat4x4< T > | glm::mat4_cast (detail::tquat< T > const &x) |
template<typename T > | |
detail::tquat< T > | glm::quat_cast (detail::tmat3x3< T > const &x) |
template<typename T > | |
detail::tquat< T > | glm::quat_cast (detail::tmat4x4< T > const &x) |
template<typename valType > | |
valType | glm::angle (detail::tquat< valType > const &x) |
template<typename valType > | |
detail::tvec3< valType > | glm::axis (detail::tquat< valType > const &x) |
template<typename valType > | |
detail::tquat< valType > | glm::angleAxis (valType const &angle, valType const &x, valType const &y, valType const &z) |
template<typename valType > | |
detail::tquat< valType > | glm::angleAxis (valType const &angle, detail::tvec3< valType > const &axis) |
Defines a templated quaternion type and several quaternion operations.
<glm/gtc/quaternion.hpp> need to be included to use these functionalities.
typedef detail::tquat<double> glm::dquat |
Quaternion of double-precision floating-point numbers.
typedef detail::tquat<float> glm::fquat |
Quaternion of single-precision floating-point numbers.
typedef detail::tquat<highp_float> glm::highp_quat |
Quaternion of high precision floating-point numbers.
typedef detail::tquat<detail::half> glm::hquat |
Quaternion of half-precision floating-point numbers.
typedef detail::tquat<lowp_float> glm::lowp_quat |
Quaternion of low precision floating-point numbers.
typedef detail::tquat<mediump_float> glm::mediump_quat |
Quaternion of medium precision floating-point numbers.
typedef detail::tquat<float> glm::quat |
Quaternion of floating-point numbers.
valType glm::angle | ( | detail::tquat< valType > const & | x | ) |
Returns the quaternion rotation angle.
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.
angle | Angle expressed in radians if GLM_FORCE_RADIANS is define or degrees otherwise. |
x | x component of the x-axis, x, y, z must be a normalized axis |
y | y component of the y-axis, x, y, z must be a normalized axis |
z | z component of the z-axis, x, y, z must be a normalized axis |
detail::tquat<valType> glm::angleAxis | ( | valType const & | angle, |
detail::tvec3< valType > const & | axis | ||
) |
Build a quaternion from an angle and a normalized axis.
angle | Angle expressed in radians if GLM_FORCE_RADIANS is define or degrees otherwise. |
axis | Axis of the quaternion, must be normalized. |
detail::tvec3<valType> glm::axis | ( | detail::tquat< valType > const & | x | ) |
Returns the q rotation axis.
detail::tquat<T> glm::conjugate | ( | detail::tquat< T > const & | q | ) |
Returns the q conjugate.
T glm::dot | ( | detail::tquat< T > const & | q1, |
detail::tquat< T > const & | q2 | ||
) |
Returns dot product of q1 and q2, i.e., q1[0] * q2[0] + q1[1] * q2[1] + ...
detail::tvec3<T> glm::eulerAngles | ( | detail::tquat< T > const & | x | ) |
Returns euler angles, yitch as x, yaw as y, roll as z.
detail::tquat<T> glm::inverse | ( | detail::tquat< T > const & | q | ) |
Returns the q inverse.
T glm::length | ( | detail::tquat< T > const & | q | ) |
Returns the length of the quaternion.
detail::tquat<T> glm::lerp | ( | detail::tquat< T > const & | x, |
detail::tquat< T > const & | y, | ||
T const & | a | ||
) |
Linear interpolation of two quaternions. The interpolation is oriented.
x | A quaternion |
y | A quaternion |
a | Interpolation factor. The interpolation is defined in the range [0, 1]. |
T | Value type used to build the quaternion. Supported: half, float or double. |
detail::tmat3x3<T> glm::mat3_cast | ( | detail::tquat< T > const & | x | ) |
Converts a quaternion to a 3 * 3 matrix.
detail::tmat4x4<T> glm::mat4_cast | ( | detail::tquat< T > const & | x | ) |
Converts a quaternion to a 4 * 4 matrix.
detail::tquat<T> glm::mix | ( | detail::tquat< T > const & | x, |
detail::tquat< T > const & | y, | ||
T const & | a | ||
) |
Spherical linear interpolation of two quaternions. The interpolation is oriented and the rotation is performed at constant speed. For short path spherical linear interpolation, use the slerp function.
x | A quaternion |
y | A quaternion |
a | Interpolation factor. The interpolation is defined beyond the range [0, 1]. |
T | Value type used to build the quaternion. Supported: half, float or double. |
detail::tquat<T> glm::normalize | ( | detail::tquat< T > const & | q | ) |
Returns the normalized quaternion.
valType glm::pitch | ( | detail::tquat< valType > const & | x | ) |
Returns pitch value of euler angles expressed in radians if GLM_FORCE_RADIANS is define or degrees otherwise.
detail::tquat<T> glm::quat_cast | ( | detail::tmat3x3< T > const & | x | ) |
Converts a 3 * 3 matrix to a quaternion.
detail::tquat<T> glm::quat_cast | ( | detail::tmat4x4< T > const & | x | ) |
Converts a 4 * 4 matrix to a quaternion.
valType glm::roll | ( | detail::tquat< valType > const & | x | ) |
Returns roll value of euler angles expressed in radians if GLM_FORCE_RADIANS is define or degrees otherwise.
detail::tquat<T> glm::rotate | ( | detail::tquat< T > const & | q, |
typename detail::tquat< T >::value_type const & | angle, | ||
detail::tvec3< T > const & | axis | ||
) |
Rotates a quaternion from an vector of 3 components axis and an angle.
q | Source orientation |
angle | Angle expressed in radians if GLM_FORCE_RADIANS is define or degrees otherwise. |
axis | Axis of the rotation, must be normalized. |
detail::tquat<T> glm::slerp | ( | detail::tquat< T > const & | x, |
detail::tquat< T > const & | y, | ||
T const & | a | ||
) |
Returns the slurp interpolation between two quaternions.
Spherical linear interpolation of two quaternions. The interpolation always take the short path and the rotation is performed at constant speed.
x | A quaternion |
y | A quaternion |
a | Interpolation factor. The interpolation is defined beyond the range [0, 1]. |
T | Value type used to build the quaternion. Supported: half, float or double. |
valType glm::yaw | ( | detail::tquat< valType > const & | x | ) |
Returns yaw value of euler angles expressed in radians if GLM_FORCE_RADIANS is define or degrees otherwise.