# LQuaterniond¶

from panda3d.core import LQuaterniond

class LQuaterniond

Bases: LVecBase4d

This is the base quaternion class

Inheritance diagram

__add__(other: LQuaterniond)LQuaterniond
__div__(scalar: float)LQuaterniond
__imul__(param0: LQuaterniond)LQuaterniond
__init__()
__init__(param0: LQuaterniond)
__init__(copy: LVecBase4d)
__init__(r: float, copy: LVecBase3d)
__init__(r: float, i: float, j: float, k: float)
__mul__(param0: LMatrix3d)LMatrix3d
__mul__(param0: LMatrix4d)LMatrix4d
__mul__(param0: LQuaterniond)LQuaterniond
__mul__(scalar: float)LQuaterniond
__pow__(param0: float)LQuaterniond

Returns a new quaternion that represents this quaternion raised to the given power.

__sub__(other: LQuaterniond)LQuaterniond
__sub__(other: LQuaterniond)LQuaterniond
almostEqual(other: LQuaterniond)bool

Returns true if two quaternions are memberwise equal within a default tolerance based on the numeric type.

almostEqual(other: LQuaterniond, threshold: float)bool

Returns true if two quaternions are memberwise equal within a specified tolerance.

almostSameDirection(other: LQuaterniond, threshold: float)bool

Returns true if two quaternions represent the same rotation within a specified tolerance.

angleDeg(other: LQuaterniond)float

Returns the angle between the orientation represented by this quaternion and the other one, expressed in degrees.

angleRad(other: LQuaterniond)float

Returns the angle between the orientation represented by this quaternion and the other one, expressed in radians.

conjugate()LQuaterniond

Returns the complex conjugate of this quat.

conjugateFrom(other: LQuaterniond)bool

Computes the conjugate of the other quat, and stores the result in this quat. This is a fully general operation and makes no assumptions about the type of transform represented by the quat.

The other quat must be a different object than this quat. However, if you need to get a conjugate of a quat in place, see conjugateInPlace().

The return value is true if the quat was successfully inverted, false if there was a singularity.

conjugateInPlace()bool

Sets this to be the conjugate of the current quat. Returns true if the successful, false if the quat was singular.

extractToMatrix(m: LMatrix3d)None

Based on the quat lib from VRPN.

extractToMatrix(m: LMatrix4d)None

Based on the quat lib from VRPN.

getAngle()float

This, along with getAxis(), returns the rotation represented by the quaternion as an angle about an arbitrary axis. This returns the angle, in degrees counterclockwise about the axis.

It is necessary to ensure the quaternion has been normalized (for instance, with a call to normalize()) before calling this method.

getAngleRad()float

This, along with getAxis(), returns the rotation represented by the quaternion as an angle about an arbitrary axis. This returns the angle, in radians counterclockwise about the axis.

It is necessary to ensure the quaternion has been normalized (for instance, with a call to normalize()) before calling this method.

getAxis()LVector3d

This, along with getAngle(), returns the rotation represented by the quaternion as an angle about an arbitrary axis. This returns the axis; it is not normalized.

getAxisNormalized()LVector3d

This, along with getAngle(), returns the rotation represented by the quaternion as an angle about an arbitrary axis. This returns the normalized axis.

static getClassType()TypeHandle
getForward(cs: CoordinateSystem)LVector3d

Returns the orientation represented by this quaternion, expressed as a forward vector.

getHpr(cs: CoordinateSystem)LVecBase3d

Extracts the equivalent Euler angles from the unit quaternion.

getI()float
getJ()float
getK()float
getR()float
getRight(cs: CoordinateSystem)LVector3d

Returns the orientation represented by this quaternion, expressed as a right vector.

getUp(cs: CoordinateSystem)LVector3d

Returns the orientation represented by this quaternion, expressed as an up vector.

static identQuat()LQuaterniond

Returns an identity quaternion.

invertFrom(other: LQuaterniond)bool

Computes the inverse of the other quat, and stores the result in this quat. This is a fully general operation and makes no assumptions about the type of transform represented by the quat.

The other quat must be a different object than this quat. However, if you need to invert a quat in place, see invertInPlace().

The return value is true if the quat was successfully inverted, false if there was a singularity.

invertInPlace()bool

Inverts the current quat. Returns true if the inverse is successful, false if the quat was singular.

isAlmostIdentity(tolerance: float)bool

Returns true if this quaternion represents the identity transformation within a given tolerance.

isIdentity()bool

Returns true if this quaternion represents the identity transformation: no rotation.

isSameDirection(other: LQuaterniond)bool

Returns true if two quaternions represent the same rotation within a default tolerance based on the numeric type.

multiply(rhs: LQuaterniond)LQuaterniond

actual multiply call (non virtual)

normalize()bool
output(param0: ostream)None
static pureImaginary(v: LVector3d)LQuaterniond
setFromAxisAngle(angle_deg: float, axis: LVector3d)None

angleDeg() is the angle about the axis in degrees. axis must be normalized.

setFromAxisAngleRad(angle_rad: float, axis: LVector3d)None

angleRad() is the angle about the axis in radians. axis must be normalized.

setFromMatrix(m: LMatrix3d)None

Sets the quaternion according to the rotation represented by the matrix. Originally we tried an algorithm presented by Do-While Jones, but that turned out to be broken. This is based on the quat lib from UNC.

setFromMatrix(m: LMatrix4d)None
setHpr(hpr: LVecBase3d, cs: CoordinateSystem)None

Sets the quaternion as the unit quaternion that is equivalent to these Euler angles. (from Real-time Rendering, p.49)

setI(i: float)None
setJ(j: float)None
setK(k: float)None
setR(r: float)None
xform(v: LVecBase3d)LVecBase3d

Transforms a 3-d vector by the indicated rotation

xform(v: LVecBase4d)LVecBase4d

Transforms a 4-d vector by the indicated rotation