Base: Improve docstrings in RotationPy.xml
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<Documentation>
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<Author Licence="LGPL" Name="Juergen Riegel" EMail="FreeCAD@juergen-riegel.net" />
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<DeveloperDocu>This is the Rotation export class</DeveloperDocu>
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<UserDocu>
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A Rotation using a quaternion.
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The Rotation object can be created by:
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-- an empty parameter list
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-- a Rotation object
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-- a Vector (axis) and a float (angle)
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-- two Vectors (rotation from/to vector)
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-- three floats (Euler angles) as yaw-pitch-roll in XY'Z'' convention
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-- one string and three floats (Euler angles) as euler rotation
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of a given type. Call toEulerSequence() for supported sequence types.
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-- four floats (Quaternion) where the quaternion is specified as:
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q=xi+yj+zk+w, i.e. the last parameter is the real part
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-- three vectors that define rotated axes directions + an optional
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3-characher string of capital letters 'X', 'Y', 'Z' that sets the
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order of importance of the axes (e.g., 'ZXY' means z direction is
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followed strictly, x is used but corrected if necessary, y is ignored).
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</UserDocu>
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<UserDocu>Base.Rotation class.\n
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A Rotation using a quaternion.\n
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The following constructors are supported:\n
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Rotation()
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Empty constructor.\n
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Rotation(rotation)
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Copy constructor.\n
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Rotation(Axis, Radian)
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Rotation(Axis, Degree)
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Define from an axis and an angle (in radians or degrees according to the keyword).
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Axis : Base.Vector
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Radian : float
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Degree : float\n
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Rotation(vector_start, vector_end)
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Define from two vectors (rotation from/to vector).
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vector_start : Base.Vector
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vector_end : Base.Vector\n
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Rotation(angle1, angle2, angle3)
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Define from three floats (Euler angles) as yaw-pitch-roll in XY'Z'' convention.
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angle1 : float
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angle2 : float
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angle3 : float\n
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Rotation(seq, angle1, angle2, angle3)
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Define from one string and three floats (Euler angles) as Euler rotation
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of a given type. Call toEulerSequence() for supported sequence types.
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seq : str
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angle1 : float
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angle2 : float
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angle3 : float\n
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Rotation(x, y, z, w)
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Define from four floats (quaternion) where the quaternion is specified as:
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q = xi+yj+zk+w, i.e. the last parameter is the real part.
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x : float
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y : float
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z : float
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w : float\n
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Rotation(dir1, dir2, dir3, seq)
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Define from three vectors that define rotated axes directions plus an optional
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3-characher string of capital letters 'X', 'Y', 'Z' that sets the order of
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importance of the axes (e.g., 'ZXY' means z direction is followed strictly,
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x is used but corrected if necessary, y is ignored).
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dir1 : Base.Vector
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dir2 : Base.Vector
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dir3 : Base.Vector
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seq : str\n
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Rotation(matrix)
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Define from a matrix rotation in the 4D representation.
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matrix : Base.Matrix\n
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Rotation(*coef)
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Define from 16 or 9 elements which represent the rotation in the 4D matrix
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representation or in the 3D matrix representation, respectively.
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coef : sequence of float</UserDocu>
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</Documentation>
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<Methode Name="invert">
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<Documentation>
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<UserDocu>
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invert() -> None
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Sets the rotation to its inverse
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</UserDocu>
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<UserDocu>invert() -> None\n
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Sets the rotation to its inverse.</UserDocu>
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</Documentation>
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</Methode>
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<Methode Name="inverted">
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<Documentation>
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<UserDocu>
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inverted() -> Rotation
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Returns the inverse of the rotation
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</UserDocu>
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<UserDocu>inverted() -> Base.Rotation\n
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Returns the inverse of the rotation.</UserDocu>
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</Documentation>
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</Methode>
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<Methode Name="isSame">
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<Documentation>
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<UserDocu>
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isSame(Rotation, [tolerance=0])
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Checks if the two quaternions perform the same rotation.
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Optionally, a tolerance value greater than zero can be passed.
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</UserDocu>
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<UserDocu>isSame(rotation, tol=0) -> bool\n
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Checks if `rotation` perform the same transformation as this rotation.\n
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rotation : Base.Rotation
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tol : float\n Tolerance used to compare both rotations.
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If tol is negative or zero, no tolerance is used.</UserDocu>
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</Documentation>
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</Methode>
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<Methode Name="multiply" Const="true">
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<Documentation>
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<UserDocu>
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multiply(Rotation)
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Multiply this quaternion with another quaternion
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</UserDocu>
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<UserDocu>multiply(rotation) -> Base.Rotation\n
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Right multiply this rotation with another rotation.\n
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rotation : Base.Rotation\n Rotation by which to multiply this rotation.</UserDocu>
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</Documentation>
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</Methode>
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<Methode Name="multVec" Const="true">
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<Documentation>
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<UserDocu>
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multVec(Vector) -> Vector
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Compute the transformed vector using the rotation
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</UserDocu>
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<UserDocu>multVec(vector) -> Base.Vector\n
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Compute the transformed vector using the rotation.\n
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vector : Base.Vector\n Vector to be transformed.</UserDocu>
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</Documentation>
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</Methode>
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<Methode Name="slerp" Const="true">
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<Documentation>
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<UserDocu>
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slerp(Rotation, Float) -> Rotation
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Spherical linear interpolation of this and a given rotation. The float must be in the range of 0 and 1
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</UserDocu>
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<UserDocu>slerp(rotation2, t) -> Base.Rotation\n
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Spherical Linear Interpolation (SLERP) of this rotation and `rotation2`.\n
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t : float\n Parameter of the path. t=0 returns this rotation, t=1 returns `rotation2`.</UserDocu>
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</Documentation>
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</Methode>
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<Methode Name="setYawPitchRoll">
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<Documentation>
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<UserDocu>
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setYawPitchRoll(angle1, angle2, angle3)
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Set the Euler angles of this rotation
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as yaw-pitch-roll in XY'Z'' convention.
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NOTE: The angles are in degree
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</UserDocu>
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<UserDocu>setYawPitchRoll(angle1, angle2, angle3) -> None\n
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Set the Euler angles of this rotation as yaw-pitch-roll in XY'Z'' convention.\n
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angle1 : float\n Angle around yaw axis in degrees.
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angle2 : float\n Angle around pitch axis in degrees.
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angle3 : float\n Angle around roll axis in degrees.</UserDocu>
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</Documentation>
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</Methode>
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<Methode Name="getYawPitchRoll" Const="true">
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<Documentation>
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<UserDocu>
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getYawPitchRoll() -> list
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Get the Euler angles of this rotation
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as yaw-pitch-roll in XY'Z'' convention
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NOTE: The angles are in degree
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</UserDocu>
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<UserDocu>getYawPitchRoll() -> tuple\n
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Get the Euler angles of this rotation as yaw-pitch-roll in XY'Z'' convention.
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The angles are given in degrees.</UserDocu>
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</Documentation>
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</Methode>
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<Methode Name="setEulerAngles">
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<Documentation>
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<UserDocu>
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setEulerAngles(seq, angle1, angle2, angle3)
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Set the Euler angles in a given sequence for this rotation.
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'seq' is the Euler sequence name. You get all possible values with toEulerAngles()
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</UserDocu>
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<UserDocu>setEulerAngles(seq, angle1, angle2, angle3) -> None\n
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Set the Euler angles in a given sequence for this rotation.
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The angles must be given in degrees.\n
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seq : str\n Euler sequence name. All possible values given by toEulerAngles().
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angle1 : float
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angle2 : float
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angle3 : float </UserDocu>
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</Documentation>
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</Methode>
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<Methode Name="toEulerAngles" Const="true">
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<Documentation>
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<UserDocu>
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toEulerAngles(seq='') -> list
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Get the Euler angles in a given sequence for this rotation.
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Call this function without arguments to output all possible values of 'seq'.
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</UserDocu>
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<UserDocu>toEulerAngles(seq) -> list\n
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Get the Euler angles in a given sequence for this rotation.\n
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seq : str\n Euler sequnce name. If not given, the function returns
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all possible values of `seq`. Optional.</UserDocu>
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</Documentation>
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</Methode>
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<Methode Name="toMatrix" Const="true">
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<Documentation>
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<UserDocu>
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toMatrix()
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convert the rotation to a matrix representation
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</UserDocu>
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<UserDocu>toMatrix() -> Base.Matrix\n
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Convert the rotation to a 4D matrix representation.</UserDocu>
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</Documentation>
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</Methode>
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<Methode Name="isNull" Const="true">
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<Documentation>
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<UserDocu>
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isNull() -> Bool
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returns True if all Q values are zero
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</UserDocu>
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<UserDocu>isNull() -> bool\n
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Returns True if all values in the quaternion representation are zero.</UserDocu>
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</Documentation>
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</Methode>
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<Methode Name="isIdentity" Const="true">
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<Documentation>
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<UserDocu>
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isIdentity() -> Bool
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returns True if the rotation equals the unity matrix
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</UserDocu>
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<UserDocu>isIdentity() -> bool\n
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Returns True if the rotation equals the 4D identity matrix.</UserDocu>
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</Documentation>
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</Methode>
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<Attribute Name="Q" ReadOnly="false">
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<Documentation>
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<UserDocu>The rotation elements (as quaternion)</UserDocu>
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<UserDocu>The rotation elements (as quaternion).</UserDocu>
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</Documentation>
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<Parameter Name="Q" Type="Tuple" />
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</Attribute>
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<Attribute Name="Axis" ReadOnly="false">
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<Documentation>
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<UserDocu>The rotation axis of the quaternion</UserDocu>
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<UserDocu>The rotation axis of the quaternion.</UserDocu>
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</Documentation>
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<Parameter Name="Axis" Type="Object" />
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</Attribute>
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<Attribute Name="RawAxis" ReadOnly="true">
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<Documentation>
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<UserDocu>The rotation axis without normalization</UserDocu>
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<UserDocu>The rotation axis without normalization.</UserDocu>
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</Documentation>
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<Parameter Name="RawAxis" Type="Object" />
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</Attribute>
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<Attribute Name="Angle" ReadOnly="false">
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<Documentation>
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<UserDocu>The rotation angle of the quaternion</UserDocu>
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<UserDocu>The rotation angle of the quaternion.</UserDocu>
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</Documentation>
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<Parameter Name="Angle" Type="Float" />
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</Attribute>
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