Class XMQuaternion

The quaternion functions provided by DirectXMath.

Inheritance

object

XMQuaternion

Inherited Members

object.Equals(object)

object.Equals(object, object)

object.GetHashCode()

object.GetType()

object.MemberwiseClone()

object.ReferenceEquals(object, object)

object.ToString()

Namespace: JeremyAnsel.DirectX.DXMath

Assembly: JeremyAnsel.DirectX.DXMath.dll

Syntax

public static class XMQuaternion

Properties

Identity

Gets the identity quaternion.

Declaration

public static XMVector Identity { get; }

Property Value

Type	Description
XMVector

Methods

BaryCentric(XMVector, XMVector, XMVector, float, float)

Returns a point in barycentric coordinates, using the specified quaternions.

Declaration

public static XMVector BaryCentric(XMVector q0, XMVector q1, XMVector q2, float f, float g)

Parameters

Type	Name	Description
XMVector	q0	The first quaternion in the triangle.
XMVector	q1	The second quaternion in the triangle.
XMVector	q2	The third quaternion in the triangle.
float	f	The first weighting factor.
float	g	The second weighting factor.

Returns

Type	Description
XMVector	Returns a quaternion in barycentric coordinates.

BaryCentricV(XMVector, XMVector, XMVector, XMVector, XMVector)

Returns a point in barycentric coordinates, using the specified quaternions.

Declaration

public static XMVector BaryCentricV(XMVector q0, XMVector q1, XMVector q2, XMVector f, XMVector g)

Parameters

Type	Name	Description
XMVector	q0	The first quaternion in the triangle.
XMVector	q1	The second quaternion in the triangle.
XMVector	q2	The third quaternion in the triangle.
XMVector	f	The first weighting factor. All components of this vector must be the same.
XMVector	g	The second weighting factor. All components of this vector must be the same.

Returns

Type	Description
XMVector	Returns a quaternion in barycentric coordinates.

Conjugate(XMVector)

Computes the conjugate of a quaternion.

Declaration

public static XMVector Conjugate(XMVector q)

Parameters

Type	Name	Description
XMVector	q	The quaternion to conjugate.

Returns

Type	Description
XMVector	The conjugate of the quaternion.

Dot(XMVector, XMVector)

Computes the dot product of two quaternions.

Declaration

public static XMVector Dot(XMVector q1, XMVector q2)

Parameters

Type	Name	Description
XMVector	q1	The first quaternion.
XMVector	q2	The second quaternion.

Returns

Type	Description
XMVector	Returns a vector. The dot product between Q1 and Q2 is replicated into each component.

Equal(XMVector, XMVector)

Tests whether two quaternions are equal.

Declaration

public static bool Equal(XMVector q1, XMVector q2)

Parameters

Type	Name	Description
XMVector	q1	The first quaternion to test.
XMVector	q2	The second quaternion to test.

Returns

Type	Description
bool	Returns true if the quaternions are equal and false otherwise.

Exp(XMVector)

Computes the exponential of a given pure quaternion.

Declaration

public static XMVector Exp(XMVector q)

Parameters

Type	Name	Description
XMVector	q	Pure quaternion for which to compute the exponential. The w-component of the input quaternion is ignored in the calculation.

Returns

Type	Description
XMVector	Returns the exponential of Q.

Inverse(XMVector)

Computes the inverse of a quaternion.

Declaration

public static XMVector Inverse(XMVector q)

Parameters

Type	Name	Description
XMVector	q	The quaternion to invert.

Returns

Type	Description
XMVector	The inverse of Q.

IsIdentity(XMVector)

Tests whether a specific quaternion is the identity quaternion.

Declaration

public static bool IsIdentity(XMVector q)

Parameters

Type	Name	Description
XMVector	q	The quaternion to test.

Returns

Type	Description
bool	Returns true if Q is the identity quaternion, or false otherwise.

IsInfinite(XMVector)

Test whether any component of a quaternion is either positive or negative infinity.

Declaration

public static bool IsInfinite(XMVector q)

Parameters

Type	Name	Description
XMVector	q	The quaternion to test.

Returns

Type	Description
bool	Returns true if any component of Q is positive or negative infinity,and false otherwise.

IsNaN(XMVector)

Test whether any component of a quaternion is a NaN.

Declaration

public static bool IsNaN(XMVector q)

Parameters

Type	Name	Description
XMVector	q	The quaternion to test.

Returns

Type	Description
bool	Returns true if any component of Q is a NaN, and false otherwise.

Length(XMVector)

Computes the magnitude of a quaternion.

Declaration

public static XMVector Length(XMVector q)

Parameters

Type	Name	Description
XMVector	q	The quaternion to measure.

Returns

Type	Description
XMVector	Returns a vector. The magnitude of Q is replicated into each component.

LengthSquare(XMVector)

Computes the square of the magnitude of a quaternion.

Declaration

public static XMVector LengthSquare(XMVector q)

Parameters

Type	Name	Description
XMVector	q	The quaternion to measure.

Returns

Type	Description
XMVector	Returns a vector. The square of the magnitude is replicated into each component.

Ln(XMVector)

Computes the natural logarithm of a given unit quaternion.

Declaration

public static XMVector Ln(XMVector q)

Parameters

Type	Name	Description
XMVector	q	Unit quaternion for which to calculate the natural logarithm. If Q is not a unit quaternion, the returned value is undefined.

Returns

Type	Description
XMVector	The natural logarithm of Q.

Multiply(XMVector, XMVector)

Computes the product of two quaternions.

Declaration

public static XMVector Multiply(XMVector q1, XMVector q2)

Parameters

Type	Name	Description
XMVector	q1	The first quaternion.
XMVector	q2	The second quaternion.

Returns

Type	Description
XMVector	Returns the product of the two quaternions.

Normalize(XMVector)

Normalizes a quaternion.

Declaration

public static XMVector Normalize(XMVector q)

Parameters

Type	Name	Description
XMVector	q	The quaternion.

Returns

Type	Description
XMVector	The normalized form of the quaternion.

NormalizeEst(XMVector)

Estimates the normalized version of a quaternion.

Declaration

public static XMVector NormalizeEst(XMVector q)

Parameters

Type	Name	Description
XMVector	q	The quaternion.

Returns

Type	Description
XMVector	The estimate of the normalized version of a quaternion.

NotEqual(XMVector, XMVector)

Tests whether two quaternions are not equal.

Declaration

public static bool NotEqual(XMVector q1, XMVector q2)

Parameters

Type	Name	Description
XMVector	q1	The first quaternion to test.
XMVector	q2	The second quaternion to test.

Returns

Type	Description
bool	Returns true if the quaternions are unequal and false otherwise.

ReciprocalLength(XMVector)

Computes the reciprocal of the magnitude of a quaternion.

Declaration

public static XMVector ReciprocalLength(XMVector q)

Parameters

Type	Name	Description
XMVector	q	The quaternion to measure.

Returns

Type	Description
XMVector	Returns the reciprocal of the magnitude of Q.

RotationAxis(XMVector, float)

Computes a rotation quaternion about an axis.

Declaration

public static XMVector RotationAxis(XMVector axis, float angle)

Parameters

Type	Name	Description
XMVector	axis	3D vector describing the axis of rotation.
float	angle	Angle of rotation in radians. Angles are measured clockwise when looking along the rotation axis toward the origin.

Returns

Type	Description
XMVector	Returns the rotation quaternion.

RotationMatrix(XMMatrix)

Computes a rotation quaternion from a rotation matrix.

Declaration

public static XMVector RotationMatrix(XMMatrix m)

Parameters

Type	Name	Description
XMMatrix	m	The rotation matrix.

Returns

Type	Description
XMVector	Returns the rotation quaternion.

RotationNormal(XMVector, float)

Computes the rotation quaternion about a normal vector.

Declaration

public static XMVector RotationNormal(XMVector normalAxis, float angle)

Parameters

Type	Name	Description
XMVector	normalAxis	Normal vector describing the axis of rotation.
float	angle	Angle of rotation in radians. Angles are measured clockwise when looking along the rotation axis toward the origin.

Returns

Type	Description
XMVector	Returns the rotation quaternion.

RotationRollPitchYaw(float, float, float)

Computes a rotation quaternion based on the pitch, yaw, and roll (Euler angles).

Declaration

public static XMVector RotationRollPitchYaw(float pitch, float yaw, float roll)

Parameters

Type	Name	Description
float	pitch	Angle of rotation around the x-axis, in radians.
float	yaw	Angle of rotation around the y-axis, in radians.
float	roll	Angle of rotation around the z-axis, in radians.

Returns

Type	Description
XMVector	Returns the rotation quaternion.

RotationRollPitchYawFromVector(XMVector)

Computes a rotation quaternion based on a vector containing the Euler angles (pitch, yaw, and roll).

Declaration

public static XMVector RotationRollPitchYawFromVector(XMVector angles)

Parameters

Type	Name	Description
XMVector	angles	A 3D vector containing the Euler angles in the order pitch, yaw, roll.

Returns

Type	Description
XMVector	Returns the rotation quaternion.

Slerp(XMVector, XMVector, float)

Interpolates between two unit quaternions, using spherical linear interpolation.

Declaration

public static XMVector Slerp(XMVector q0, XMVector q1, float t)

Parameters

Type	Name	Description
XMVector	q0	An unit quaternion to interpolate from.
XMVector	q1	An unit quaternion to interpolate to.
float	t	The interpolation control factor.

Returns

Type	Description
XMVector	Returns the interpolated quaternion. If Q0 and Q1 are not unit quaternions, the resulting interpolation is undefined.

SlerpV(XMVector, XMVector, XMVector)

Interpolates between two unit quaternions, using spherical linear interpolation.

Declaration

public static XMVector SlerpV(XMVector q0, XMVector q1, XMVector t)

Parameters

Type	Name	Description
XMVector	q0	An unit quaternion to interpolate from.
XMVector	q1	An unit quaternion to interpolate to.
XMVector	t	The interpolation control factor. All components of this vector must be the same.

Returns

Type	Description
XMVector	Returns the interpolated quaternion. If Q0 and Q1 are not unit quaternions, the resulting interpolation is undefined.

Squad(XMVector, XMVector, XMVector, XMVector, float)

Interpolates between four unit quaternions, using spherical quadrangle interpolation.

Declaration

public static XMVector Squad(XMVector q0, XMVector q1, XMVector q2, XMVector q3, float t)

Parameters

Type	Name	Description
XMVector	q0	The first unit quaternion.
XMVector	q1	The second unit quaternion.
XMVector	q2	The third unit quaternion.
XMVector	q3	The fourth unit quaternion.
float	t	The interpolation control factor.

Returns

Type	Description
XMVector	Returns the interpolated quaternion. If Q0, Q1, Q2, and Q3 are not all unit quaternions, the returned quaternion is undefined.

SquadSetup(out XMVector, out XMVector, out XMVector, XMVector, XMVector, XMVector, XMVector)

Provides addresses of setup control points for spherical quadrangle interpolation.

Declaration

public static void SquadSetup(out XMVector a, out XMVector b, out XMVector c, XMVector q0, XMVector q1, XMVector q2, XMVector q3)

Parameters

Type	Name	Description
XMVector	a	The first setup quaternion.
XMVector	b	The second setup quaternion.
XMVector	c	The third setup quaternion.
XMVector	q0	The first quaternion.
XMVector	q1	The second quaternion.
XMVector	q2	The third quaternion.
XMVector	q3	The fourth quaternion.

SquadV(XMVector, XMVector, XMVector, XMVector, XMVector)

Interpolates between four unit quaternions, using spherical quadrangle interpolation.

Declaration

public static XMVector SquadV(XMVector q0, XMVector q1, XMVector q2, XMVector q3, XMVector t)

Parameters

Type	Name	Description
XMVector	q0	The first unit quaternion.
XMVector	q1	The second unit quaternion.
XMVector	q2	The third unit quaternion.
XMVector	q3	The fourth unit quaternion.
XMVector	t	The interpolation control factor. All components of this vector must be the same.

Returns

Type	Description
XMVector	Returns the interpolated quaternion. If Q0, Q1, Q2, and Q3 are not unit quaternions, the resulting interpolation is undefined.

ToAxisAngle(out XMVector, out float, XMVector)

Computes an axis and angle of rotation about that axis for a given quaternion.

Declaration

public static void ToAxisAngle(out XMVector axis, out float angle, XMVector q)

Parameters

Type	Name	Description
XMVector	axis	A 3D vector describing the axis of rotation for the quaternion Q.
float	angle	The radian angle of rotation for the quaternion Q.
XMVector	q	The quaternion to measure.

ToEuler(XMVector)

Computes rotation about y-axis (y), then x-axis (x), then z-axis (z).

Declaration

public static XMVector ToEuler(XMVector quaternion)

Parameters

Type	Name	Description
XMVector	quaternion	A quaternion.

Returns

Type	Description
XMVector	The Euler angles.