Draw more accurate circular Arcs for larger angles (#4034)

Co-authored-by: Benjamin Hackl <[email protected]>
ManimCommunity · Jan 19, 2025 · 8bb28aa · 8bb28aa
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Showing 188 changed files with 3 additions and 2 deletions.
diff --git a/manim/mobject/geometry/arc.py b/manim/mobject/geometry/arc.py
@@ -394,8 +394,9 @@ def _set_pre_positioned_points(self) -> None:
         tangent_vectors[:, 1] = anchors[:, 0]
         tangent_vectors[:, 0] = -anchors[:, 1]
         # Use tangent vectors to deduce anchors
-        handles1 = anchors[:-1] + (d_theta / 3) * tangent_vectors[:-1]
-        handles2 = anchors[1:] - (d_theta / 3) * tangent_vectors[1:]
+        factor = 4 / 3 * np.tan(d_theta / 4)
+        handles1 = anchors[:-1] + factor * tangent_vectors[:-1]
+        handles2 = anchors[1:] - factor * tangent_vectors[1:]
         self.set_anchors_and_handles(anchors[:-1], handles1, handles2, anchors[1:])
 
     def get_arc_center(self, warning: bool = True) -> Point3D:

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diff --git a/tests/test_graphical_units/control_data/threed/CameraMove.npz b/tests/test_graphical_units/control_data/threed/CameraMove.npz
diff --git a/tests/test_graphical_units/control_data/threed/CameraMoveAxes.npz b/tests/test_graphical_units/control_data/threed/CameraMoveAxes.npz
diff --git a/tests/test_graphical_units/control_data/threed/Cone.npz b/tests/test_graphical_units/control_data/threed/Cone.npz
diff --git a/tests/test_graphical_units/control_data/threed/Cube.npz b/tests/test_graphical_units/control_data/threed/Cube.npz
diff --git a/tests/test_graphical_units/control_data/threed/Cylinder.npz b/tests/test_graphical_units/control_data/threed/Cylinder.npz
diff --git a/tests/test_graphical_units/control_data/threed/Dot3D.npz b/tests/test_graphical_units/control_data/threed/Dot3D.npz
diff --git a/tests/test_graphical_units/control_data/threed/Line3D.npz b/tests/test_graphical_units/control_data/threed/Line3D.npz
diff --git a/tests/test_graphical_units/control_data/threed/MovingVertices.npz b/tests/test_graphical_units/control_data/threed/MovingVertices.npz
diff --git a/tests/test_graphical_units/control_data/threed/Sphere.npz b/tests/test_graphical_units/control_data/threed/Sphere.npz
diff --git a/tests/test_graphical_units/control_data/threed/SurfaceColorscale.npz b/tests/test_graphical_units/control_data/threed/SurfaceColorscale.npz
diff --git a/tests/test_graphical_units/control_data/threed/Torus.npz b/tests/test_graphical_units/control_data/threed/Torus.npz
diff --git a/tests/test_graphical_units/control_data/threed/Y_Direction.npz b/tests/test_graphical_units/control_data/threed/Y_Direction.npz
diff --git a/tests/test_graphical_units/control_data/transform/AnimationBuilder.npz b/tests/test_graphical_units/control_data/transform/AnimationBuilder.npz
diff --git a/tests/test_graphical_units/control_data/transform/ApplyComplexFunction.npz b/tests/test_graphical_units/control_data/transform/ApplyComplexFunction.npz
diff --git a/tests/test_graphical_units/control_data/transform/ApplyFunction.npz b/tests/test_graphical_units/control_data/transform/ApplyFunction.npz
diff --git a/tests/test_graphical_units/control_data/transform/ApplyMatrix.npz b/tests/test_graphical_units/control_data/transform/ApplyMatrix.npz
diff --git a/tests/test_graphical_units/control_data/transform/ApplyPointwiseFunction.npz b/tests/test_graphical_units/control_data/transform/ApplyPointwiseFunction.npz
diff --git a/tests/test_graphical_units/control_data/transform/ClockwiseTransform.npz b/tests/test_graphical_units/control_data/transform/ClockwiseTransform.npz
diff --git a/tests/test_graphical_units/control_data/transform/CounterclockwiseTransform.npz b/tests/test_graphical_units/control_data/transform/CounterclockwiseTransform.npz
diff --git a/tests/test_graphical_units/control_data/transform/CyclicReplace.npz b/tests/test_graphical_units/control_data/transform/CyclicReplace.npz
diff --git a/tests/test_graphical_units/control_data/transform/FadeInAndOut.npz b/tests/test_graphical_units/control_data/transform/FadeInAndOut.npz
diff --git a/tests/test_graphical_units/control_data/transform/FadeToColort.npz b/tests/test_graphical_units/control_data/transform/FadeToColort.npz
diff --git a/tests/test_graphical_units/control_data/transform/FadeTransform.npz b/tests/test_graphical_units/control_data/transform/FadeTransform.npz
diff --git a/tests/test_graphical_units/control_data/transform/FadeTransformPieces.npz b/tests/test_graphical_units/control_data/transform/FadeTransformPieces.npz
diff --git a/...st_graphical_units/control_data/transform/FadeTransform_TargetIsEmpty_FadesOutInPlace.npz b/...st_graphical_units/control_data/transform/FadeTransform_TargetIsEmpty_FadesOutInPlace.npz
diff --git a/tests/test_graphical_units/control_data/transform/FullRotation.npz b/tests/test_graphical_units/control_data/transform/FullRotation.npz
diff --git a/tests/test_graphical_units/control_data/transform/MatchPointsScene.npz b/tests/test_graphical_units/control_data/transform/MatchPointsScene.npz
diff --git a/tests/test_graphical_units/control_data/transform/MoveToTarget.npz b/tests/test_graphical_units/control_data/transform/MoveToTarget.npz
diff --git a/tests/test_graphical_units/control_data/transform/ReplacementTransform.npz b/tests/test_graphical_units/control_data/transform/ReplacementTransform.npz
diff --git a/tests/test_graphical_units/control_data/transform/Restore.npz b/tests/test_graphical_units/control_data/transform/Restore.npz
diff --git a/tests/test_graphical_units/control_data/transform/ScaleInPlace.npz b/tests/test_graphical_units/control_data/transform/ScaleInPlace.npz
diff --git a/tests/test_graphical_units/control_data/transform/ShrinkToCenter.npz b/tests/test_graphical_units/control_data/transform/ShrinkToCenter.npz
diff --git a/tests/test_graphical_units/control_data/transform/Transform.npz b/tests/test_graphical_units/control_data/transform/Transform.npz
diff --git a/tests/test_graphical_units/control_data/transform/TransformFromCopy.npz b/tests/test_graphical_units/control_data/transform/TransformFromCopy.npz
diff --git a/tests/test_graphical_units/control_data/transform/TransformWithConflictingPaths.npz b/tests/test_graphical_units/control_data/transform/TransformWithConflictingPaths.npz
diff --git a/tests/test_graphical_units/control_data/transform/TransformWithPathArcCenters.npz b/tests/test_graphical_units/control_data/transform/TransformWithPathArcCenters.npz
diff --git a/tests/test_graphical_units/control_data/transform/TransformWithPathFunc.npz b/tests/test_graphical_units/control_data/transform/TransformWithPathFunc.npz
diff --git a/...raphical_units/control_data/transform_matching_parts/TransformMatchingDisplaysCorrect.npz b/...raphical_units/control_data/transform_matching_parts/TransformMatchingDisplaysCorrect.npz
diff --git a/...raphical_units/control_data/transform_matching_parts/TransformMatchingLeavesOneObject.npz b/...raphical_units/control_data/transform_matching_parts/TransformMatchingLeavesOneObject.npz
diff --git a/tests/test_graphical_units/control_data/transform_matching_parts/TransformMatchingTex.npz b/tests/test_graphical_units/control_data/transform_matching_parts/TransformMatchingTex.npz
diff --git a/...ts/control_data/transform_matching_parts/TransformMatchingTex_FadeTransformMismatches.npz b/...ts/control_data/transform_matching_parts/TransformMatchingTex_FadeTransformMismatches.npz
diff --git a/...a/transform_matching_parts/TransformMatchingTex_FadeTransformMismatches_NothingToFade.npz b/...a/transform_matching_parts/TransformMatchingTex_FadeTransformMismatches_NothingToFade.npz
diff --git a/..._units/control_data/transform_matching_parts/TransformMatchingTex_TransformMismatches.npz b/..._units/control_data/transform_matching_parts/TransformMatchingTex_TransformMismatches.npz
diff --git a/tests/test_graphical_units/control_data/updaters/LastFrameWhenCleared.npz b/tests/test_graphical_units/control_data/updaters/LastFrameWhenCleared.npz
diff --git a/tests/test_graphical_units/control_data/updaters/UpdateSceneDuringAnimation.npz b/tests/test_graphical_units/control_data/updaters/UpdateSceneDuringAnimation.npz
diff --git a/tests/test_graphical_units/control_data/updaters/Updater.npz b/tests/test_graphical_units/control_data/updaters/Updater.npz
diff --git a/tests/test_graphical_units/control_data/updaters/ValueTracker.npz b/tests/test_graphical_units/control_data/updaters/ValueTracker.npz