Defines a templated quaternion type and several quaternion operations. More...

Functions
template<typename T , qualifier P>
GLM_FUNC_DECL T	angle (tquat< T, P > const &x)
	Returns the quaternion rotation angle. More...

template<typename T , qualifier P>
GLM_FUNC_DECL tquat< T, P >	angleAxis (T const &angle, vec< 3, T, P > const &axis)
	Build a quaternion from an angle and a normalized axis. More...

template<typename T , qualifier P>
GLM_FUNC_DECL vec< 3, T, P >	axis (tquat< T, P > const &x)
	Returns the q rotation axis. More...

template<typename T , qualifier P>
GLM_FUNC_DECL tquat< T, P >	conjugate (tquat< T, P > const &q)
	Returns the q conjugate. More...

template<typename T , qualifier P>
GLM_FUNC_DECL T	dot (tquat< T, P > const &x, tquat< T, P > const &y)
	Returns dot product of q1 and q2, i.e., q1[0] * q2[0] + q1[1] * q2[1] + ... More...

template<typename T , qualifier P>
GLM_FUNC_DECL vec< 4, bool, P >	equal (tquat< T, P > const &x, tquat< T, P > const &y)
	Returns the component-wise comparison of result x == y. More...

template<typename T , qualifier P>
GLM_FUNC_DECL vec< 3, T, P >	eulerAngles (tquat< T, P > const &x)
	Returns euler angles, pitch as x, yaw as y, roll as z. More...

template<typename T , qualifier P>
GLM_FUNC_DECL vec< 4, bool, P >	greaterThan (tquat< T, P > const &x, tquat< T, P > const &y)
	Returns the component-wise comparison of result x > y. More...

template<typename T , qualifier P>
GLM_FUNC_DECL vec< 4, bool, P >	greaterThanEqual (tquat< T, P > const &x, tquat< T, P > const &y)
	Returns the component-wise comparison of result x >= y. More...

template<typename T , qualifier P>
GLM_FUNC_DECL tquat< T, P >	inverse (tquat< T, P > const &q)
	Returns the q inverse. More...

template<typename T , qualifier P>
GLM_FUNC_DECL vec< 4, bool, P >	isinf (tquat< T, P > const &x)
	Returns true if x holds a positive infinity or negative infinity representation in the underlying implementation's set of floating point representations. More...

template<typename T , qualifier P>
GLM_FUNC_DECL vec< 4, bool, P >	isnan (tquat< T, P > const &x)
	Returns true if x holds a NaN (not a number) representation in the underlying implementation's set of floating point representations. More...

template<typename T , qualifier P>
GLM_FUNC_DECL T	length (tquat< T, P > const &q)
	Returns the length of the quaternion. More...

template<typename T , qualifier P>
GLM_FUNC_DECL tquat< T, P >	lerp (tquat< T, P > const &x, tquat< T, P > const &y, T a)
	Linear interpolation of two quaternions. More...

template<typename T , qualifier P>
GLM_FUNC_DECL vec< 4, bool, P >	lessThan (tquat< T, P > const &x, tquat< T, P > const &y)
	Returns the component-wise comparison result of x < y. More...

template<typename T , qualifier P>
GLM_FUNC_DECL vec< 4, bool, P >	lessThanEqual (tquat< T, P > const &x, tquat< T, P > const &y)
	Returns the component-wise comparison of result x <= y. More...

template<typename T , qualifier P>
GLM_FUNC_DECL mat< 3, 3, T, P >	mat3_cast (tquat< T, P > const &x)
	Converts a quaternion to a 3 * 3 matrix. More...

template<typename T , qualifier P>
GLM_FUNC_DECL mat< 4, 4, T, P >	mat4_cast (tquat< T, P > const &x)
	Converts a quaternion to a 4 * 4 matrix. More...

template<typename T , qualifier P>
GLM_FUNC_DECL tquat< T, P >	mix (tquat< T, P > const &x, tquat< T, P > const &y, T a)
	Spherical linear interpolation of two quaternions. More...

template<typename T , qualifier P>
GLM_FUNC_DECL tquat< T, P >	normalize (tquat< T, P > const &q)
	Returns the normalized quaternion. More...

template<typename T , qualifier P>
GLM_FUNC_DECL vec< 4, bool, P >	notEqual (tquat< T, P > const &x, tquat< T, P > const &y)
	Returns the component-wise comparison of result x != y. More...

template<typename T , qualifier P>
GLM_FUNC_DECL T	pitch (tquat< T, P > const &x)
	Returns pitch value of euler angles expressed in radians. More...

template<typename T , qualifier P>
GLM_FUNC_DECL tquat< T, P >	quat_cast (mat< 3, 3, T, P > const &x)
	Converts a 3 * 3 matrix to a quaternion. More...

template<typename T , qualifier P>
GLM_FUNC_DECL tquat< T, P >	quat_cast (mat< 4, 4, T, P > const &x)
	Converts a 4 * 4 matrix to a quaternion. More...

template<typename T , qualifier P>
GLM_FUNC_DECL T	roll (tquat< T, P > const &x)
	Returns roll value of euler angles expressed in radians. More...

template<typename T , qualifier P>
GLM_FUNC_DECL tquat< T, P >	rotate (tquat< T, P > const &q, T const &angle, vec< 3, T, P > const &axis)
	Rotates a quaternion from a vector of 3 components axis and an angle. More...

template<typename T , qualifier P>
GLM_FUNC_DECL tquat< T, P >	slerp (tquat< T, P > const &x, tquat< T, P > const &y, T a)
	Spherical linear interpolation of two quaternions. More...

template<typename T , qualifier P>
GLM_FUNC_DECL T	yaw (tquat< T, P > const &x)
	Returns yaw value of euler angles expressed in radians. More...

Detailed Description

Defines a templated quaternion type and several quaternion operations.

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

Function Documentation

GLM_FUNC_DECL T glm::angle ( tquat< T, P > const & x )

Returns the quaternion rotation angle.

Template Parameters

T	Floating-point scalar types.

See also: GLM_GTC_quaternion

GLM_FUNC_DECL tquat<T, P> glm::angleAxis	(	T const &	angle,
		vec< 3, T, P > const &	axis
	)

Build a quaternion from an angle and a normalized axis.

Parameters

angle	Angle expressed in radians.
axis	Axis of the quaternion, must be normalized.

Template Parameters

T	Floating-point scalar types.

See also: GLM_GTC_quaternion

GLM_FUNC_DECL vec<3, T, P> glm::axis ( tquat< T, P > const & x )

Returns the q rotation axis.

Template Parameters

T	Floating-point scalar types.

See also: GLM_GTC_quaternion

GLM_FUNC_DECL tquat<T, P> glm::conjugate ( tquat< T, P > const & q )

Returns the q conjugate.

Template Parameters

T	Floating-point scalar types.

See also: GLM_GTC_quaternion

GLM_FUNC_DECL T glm::dot	(	tquat< T, P > const &	x,
		tquat< T, P > const &	y
	)

Returns dot product of q1 and q2, i.e., q1[0] * q2[0] + q1[1] * q2[1] + ...

Template Parameters

T	Floating-point scalar types.

See also: GLM_GTC_quaternion

GLM_FUNC_DECL vec<4, bool, P> glm::equal	(	tquat< T, P > const &	x,
		tquat< T, P > const &	y
	)

Returns the component-wise comparison of result x == y.

Template Parameters

T	Floating-point scalar types.

See also: GLM_GTC_quaternion

GLM_FUNC_DECL vec<3, T, P> glm::eulerAngles ( tquat< T, P > const & x )

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

The result is expressed in radians.

Template Parameters

T	Floating-point scalar types.

See also: GLM_GTC_quaternion

GLM_FUNC_DECL vec<4, bool, P> glm::greaterThan	(	tquat< T, P > const &	x,
		tquat< T, P > const &	y
	)

Returns the component-wise comparison of result x > y.

Template Parameters

T	Floating-point scalar types.

See also: GLM_GTC_quaternion

GLM_FUNC_DECL vec<4, bool, P> glm::greaterThanEqual	(	tquat< T, P > const &	x,
		tquat< T, P > const &	y
	)

Returns the component-wise comparison of result x >= y.

Template Parameters

T	Floating-point scalar types.

See also: GLM_GTC_quaternion

GLM_FUNC_DECL tquat<T, P> glm::inverse ( tquat< T, P > const & q )

Returns the q inverse.

Template Parameters

T	Floating-point scalar types.

See also: GLM_GTC_quaternion

GLM_FUNC_DECL vec<4, bool, P> glm::isinf ( tquat< T, P > const & x )

Returns true if x holds a positive infinity or negative infinity representation in the underlying implementation's set of floating point representations.

Returns false otherwise, including for implementations with no infinity representations.

Template Parameters

T	Floating-point scalar types.

See also: GLM_GTC_quaternion

GLM_FUNC_DECL vec<4, bool, P> glm::isnan ( tquat< T, P > const & x )

Returns true if x holds a NaN (not a number) representation in the underlying implementation's set of floating point representations.

Returns false otherwise, including for implementations with no NaN representations.

/!\ When using compiler fast math, this function may fail.

Template Parameters

T	Floating-point scalar types.

See also: GLM_GTC_quaternion

GLM_FUNC_DECL T glm::length ( tquat< T, P > const & q )

Returns the length of the quaternion.

Template Parameters

T	Floating-point scalar types.

See also: GLM_GTC_quaternion

GLM_FUNC_DECL tquat<T, P> glm::lerp	(	tquat< T, P > const &	x,
		tquat< T, P > const &	y,
		T	a
	)

Linear interpolation of two quaternions.

The interpolation is oriented.

Parameters

x	A quaternion
y	A quaternion
a	Interpolation factor. The interpolation is defined in the range [0, 1].

Template Parameters

T	Floating-point scalar types.

See also: GLM_GTC_quaternion

GLM_FUNC_DECL vec<4, bool, P> glm::lessThan	(	tquat< T, P > const &	x,
		tquat< T, P > const &	y
	)

Returns the component-wise comparison result of x < y.

Template Parameters

T	Floating-point scalar types.

See also: GLM_GTC_quaternion

GLM_FUNC_DECL vec<4, bool, P> glm::lessThanEqual	(	tquat< T, P > const &	x,
		tquat< T, P > const &	y
	)

Returns the component-wise comparison of result x <= y.

Template Parameters

T	Floating-point scalar types.

See also: GLM_GTC_quaternion

GLM_FUNC_DECL mat<3, 3, T, P> glm::mat3_cast ( tquat< T, P > const & x )

Converts a quaternion to a 3 * 3 matrix.

Template Parameters

T	Floating-point scalar types.

See also: GLM_GTC_quaternion

Referenced by glm::toMat3().

GLM_FUNC_DECL mat<4, 4, T, P> glm::mat4_cast ( tquat< T, P > const & x )

Converts a quaternion to a 4 * 4 matrix.

Template Parameters

T	Floating-point scalar types.

See also: GLM_GTC_quaternion

Referenced by glm::toMat4().

GLM_FUNC_DECL tquat<T, P> glm::mix	(	tquat< T, P > const &	x,
		tquat< T, P > const &	y,
		T	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.

Parameters

x	A quaternion
y	A quaternion
a	Interpolation factor. The interpolation is defined beyond the range [0, 1].

Template Parameters

T	Floating-point scalar types.

See also: - slerp(tquat<T, P> const & x, tquat<T, P> const & y, T const & a); GLM_GTC_quaternion

GLM_FUNC_DECL tquat<T, P> glm::normalize ( tquat< T, P > const & q )

Returns the normalized quaternion.

Template Parameters

T	Floating-point scalar types.

See also: GLM_GTC_quaternion

GLM_FUNC_DECL vec<4, bool, P> glm::notEqual	(	tquat< T, P > const &	x,
		tquat< T, P > const &	y
	)

Returns the component-wise comparison of result x != y.

Template Parameters

T	Floating-point scalar types.

See also: GLM_GTC_quaternion

GLM_FUNC_DECL T glm::pitch ( tquat< T, P > const & x )

Returns pitch value of euler angles expressed in radians.

Template Parameters

T	Floating-point scalar types.

See also: GLM_GTC_quaternion

GLM_FUNC_DECL tquat<T, P> glm::quat_cast ( mat< 3, 3, T, P > const & x )

Converts a 3 * 3 matrix to a quaternion.

Template Parameters

T	Floating-point scalar types.

See also: GLM_GTC_quaternion

Referenced by glm::toQuat().

GLM_FUNC_DECL tquat<T, P> glm::quat_cast ( mat< 4, 4, T, P > const & x )

Converts a 4 * 4 matrix to a quaternion.

Template Parameters

T	Floating-point scalar types.

See also: GLM_GTC_quaternion

GLM_FUNC_DECL T glm::roll ( tquat< T, P > const & x )

Returns roll value of euler angles expressed in radians.

Template Parameters

T	Floating-point scalar types.

See also: GLM_GTC_quaternion

GLM_FUNC_DECL tquat<T, P> glm::rotate	(	tquat< T, P > const &	q,
		T const &	angle,
		vec< 3, T, P > const &	axis
	)

Rotates a quaternion from a vector of 3 components axis and an angle.

Parameters

q	Source orientation
angle	Angle expressed in radians.
axis	Axis of the rotation

Template Parameters

T	Floating-point scalar types.

See also: GLM_GTC_quaternion

GLM_FUNC_DECL tquat<T, P> glm::slerp	(	tquat< T, P > const &	x,
		tquat< T, P > const &	y,
		T	a
	)

Spherical linear interpolation of two quaternions.

The interpolation always take the short path and the rotation is performed at constant speed.

Parameters

x	A quaternion
y	A quaternion
a	Interpolation factor. The interpolation is defined beyond the range [0, 1].

Template Parameters

T	Floating-point scalar types.

See also: GLM_GTC_quaternion

GLM_FUNC_DECL T glm::yaw ( tquat< T, P > const & x )

Returns yaw value of euler angles expressed in radians.

Template Parameters

T	Floating-point scalar types.

See also: GLM_GTC_quaternion

Functions

Detailed Description

Function Documentation