numpydoc style
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@ -11,33 +11,32 @@ def iszero(a):
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class Rotation:
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class Rotation:
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u"""
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u"""
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Orientation stored with functionality for conversion to different representations.
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Orientation stored with functionality for conversion to different representations.
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The following conventions apply:
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- coordinate frames are right-handed.
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- a rotation angle ω is taken to be positive for a counterclockwise rotation
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when viewing from the end point of the rotation axis towards the origin.
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- rotations will be interpreted in the passive sense.
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- Euler angle triplets are implemented using the Bunge convention,
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with the angular ranges as [0, 2π],[0, π],[0, 2π].
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- the rotation angle ω is limited to the interval [0, π].
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- the real part of a quaternion is positive, Re(q) > 0
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- P = -1 (as default).
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Examples
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--------
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Rotate vector "a" (defined in coordinate system "A") to
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coordinates "b" expressed in system "B":
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- b = Q * a
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- b = np.dot(Q.asMatrix(),a)
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References
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References
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----------
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----------
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D. Rowenhorst et al., Modelling and Simulation in Materials Science and Engineering 23:083501, 2015
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D. Rowenhorst et al., Modelling and Simulation in Materials Science and Engineering 23:083501, 2015
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https://doi.org/10.1088/0965-0393/23/8/083501
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https://doi.org/10.1088/0965-0393/23/8/083501
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Conventions
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-----------
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Convention 1: Coordinate frames are right-handed.
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Convention 2: A rotation angle ω is taken to be positive for a counterclockwise rotation
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when viewing from the end point of the rotation axis towards the origin.
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Convention 3: Rotations will be interpreted in the passive sense.
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Convention 4: Euler angle triplets are implemented using the Bunge convention,
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with the angular ranges as [0, 2π],[0, π],[0, 2π].
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Convention 5: The rotation angle ω is limited to the interval [0, π].
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Convention 6: the real part of a quaternion is positive, Re(q) > 0
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Convention 7: P = -1 (as default).
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Usage
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-----
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Vector "a" (defined in coordinate system "A") is passively rotated
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resulting in new coordinates "b" when expressed in system "B".
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b = Q * a
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b = np.dot(Q.asMatrix(),a)
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"""
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"""
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__slots__ = ['quaternion']
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__slots__ = ['quaternion']
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def __init__(self,quaternion = np.array([1.0,0.0,0.0,0.0])):
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def __init__(self,quaternion = np.array([1.0,0.0,0.0,0.0])):
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