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Commitcdcc9d8

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- makes axes3d.Quaternion a private _Quaternion class- shortens as_cardan_angles()- adds two extra tests to test_axes3d::test_quaternion(): from_cardan_angles() should return a unit quaternion, and as_cardan_angles() should be insensitive to quaternion magnitude- updates "mplot3d View Angles" documentation (the mouse can control both azimuth, elevation, and roll; and matlab does have a roll angle nowadays)- put in a reference to quaternion multiplication using scalar and vector parts (wikipedia)- rename class method that constructs a quaternion from two vectors to `rotate_from_to()`- clarify docstring: "The quaternion for the shortest rotation from vector r1 to vector r2"- issue warning when vectors are anti-parallel: "shortest rotation is ambiguous"- construct a perpendicular vector for generic r2 == -r1- add test case for anti-parallel vectors- add test for the warning- add reference to Ken Shoemake's arcball, in axes3d.py- point out that angles are in radians, not degrees, in quaternion class docstrings- in test_axes3d, add an import for axes3d._Quaternion, to avoid repetition- add Quaternion conjugate(), and tests for it- add Quaternion norm, and tests- add Quaternion normalize(), and tests- add Quaternion reciprocal(), and tests- add Quaternion division, and tests- add Quaternion rotate(vector), and a test
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‎doc/api/toolkits/mplot3d/view_angles.rst

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@@ -12,17 +12,16 @@ The position of the viewport "camera" in a 3D plot is defined by three angles:
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points towards the center of the plot box volume. The angle direction is a
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common convention, and is shared with
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`PyVista<https://docs.pyvista.org/api/core/camera.html>`_ and
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`MATLAB<https://www.mathworks.com/help/matlab/ref/view.html>`_
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(though MATLAB lacks a roll angle). Note that a positive roll angle rotates the
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`MATLAB<https://www.mathworks.com/help/matlab/ref/view.html>`_. Note that a positive roll angle rotates the
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viewing plane clockwise, so the 3d axes will appear to rotate
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counter-clockwise.
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..image::/_static/mplot3d_view_angles.png
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:align:center
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:scale:50
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Rotating the plot using the mouse will controlonly theazimuth and elevation,
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but all three angles can be set programmatically::
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Rotating the plot using the mouse will control azimuth, elevation,
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as well as roll, and all three angles can be set programmatically::
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import matplotlib.pyplot as plt
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ax = plt.figure().add_subplot(projection='3d')

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