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Re-order checks to ensure a zeroed matrix results in a quaternion
without rotation. Also avoid some redundant calculation where the
'trace' was calculated but not used, flip the scaling value early
on instead of negating the quaternion after calculating it.
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When plotting equally distant points around a circle support an extra
axis of symmetry so twice as many exact values are repeated than
originally added in [0], see code-comments for a detailed explanation.
Tests to ensure accuracy and exact symmetry have been added too.
Follow up on fix for T87779.
[0]: 087f27a52f7857887e90754d87a7a73715ebc3fb
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The ported normal calculation from ceed37fc5cbb466a0 neglected to
use the tilt attribute to rotate the normals around the tangents.
This commit adds that behavior back, adding a new math header file
to avoid duplicating the rotation function for normalized axes.
Differential Revision: https://developer.blender.org/D14655
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Use a shorter/simpler license convention, stops the header taking so
much space.
Follow the SPDX license specification: https://spdx.org/licenses
- C/C++/objc/objc++
- Python
- Shell Scripts
- CMake, GNUmakefile
While most of the source tree has been included
- `./extern/` was left out.
- `./intern/cycles` & `./intern/atomic` are also excluded because they
use different header conventions.
doc/license/SPDX-license-identifiers.txt has been added to list SPDX all
used identifiers.
See P2788 for the script that automated these edits.
Reviewed By: brecht, mont29, sergey
Ref D14069
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It turns out that after the fix to T83196 (rB814b2787cadd) the matrix
to quaternion conversion can produce noncanonical results in large
areas of the rotation space, when previously this was limited to
way smaller areas. This in turn causes Swing+Twist math to produce
angles beyond 180 degrees, e.g. outputting a -120..240 range.
This fixes both issues, ensuring that conversion outputs a canonical
result, and decomposition canonifies its input.
This was reported in chat by @jpbouza.
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No functional changes.
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Adjust the threshold for switching from the base case to trace > 0,
based on very similar example code from www.euclideanspace.com to
avoid float precision issues when trace is close to -1.
Also, remove conversions to and from double, because using double
here doesn't really have benefit, especially with the new threshold.
Finally, add quaternion-matrix-quaternion round trip tests with
full coverage for all 4 branches.
Differential Revision: https://developer.blender.org/D9675
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