When performing polar decomposition in 2D as B = R.S, where R is rotation (with determinant +1) and S is scaling, use the convention that reflections are absorbed into S through a reflection around y axis.
In 3D, this is done by using a reflection along all three axes, but since the dimensionality is even in 2D, one axis needs to be chosen.
Fixes Matrix32::get_rotation and Matrix32::get_scale (which weren't properly fixed in #7445).
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After discussing this with Reduz this seemed like the best way to
fix#7354. This will make composite values that contain NaN in the same
places as well as the same other values compare as the same.
Additionally non-composite values now also compare equal if they are
both NaN. This breaks IEEE specifications but this is probably what most
users expect. There is a GDScript function check for NaN if the user
needs this information.
This fixes#7354 and probably also fixes#6947
This is the follow up for the 2D changes mentioned in PR #6865. It fixes various mistakes regarding the order of matrix indices, order of transformation operations, usage of atan2 function and ensures that the sense of rotation is compatible with a left-handed coordinate system with Y-axis pointing down (which flips the sense of rotations along the z-axis). Also replaced float with real_t, and tried to make use of Matrix32 methods rather than accessing its elements directly.
Affected code in the Godot code base is also fixed in this commit.
The user code using functions involving angles such as atan2, angle_to, get_rotation, set_rotation will need to be updated to conform with the new behavior. Furthermore, the sign of the rotation angles in existing 2D scene files need to be flipped as well.
That year should bring the long-awaited OpenGL ES 3.0 compatible renderer
with state-of-the-art rendering techniques tuned to work as low as middle
end handheld devices - without compromising with the possibilities given
for higher end desktop games of course. Great times ahead for the Godot
community and the gamers that will play our games!
-=-=-=-=-=-=-=-=-=-=-=-=-=
-Begin work on Navigation Meshes (simple pathfinding for now, will improve soon)
-More doc on theme overriding
-Upgraded OpenSSL to version without bugs
-Misc bugfixes
-=-=-=-=-=-=-=-=-=--=-=-=
-Ability to set 2D nodes as bones
-Abity to set 2D nodes as IK chains
-2D IK Solver
-Improvements in the UI for adding keyframes (separate loc,rot,scale buttons)