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[bezier] Speed up cubicPointAtT

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This commit is contained in:
Behdad Esfahbod 2023-02-13 14:24:33 -07:00
parent 8dde7fef90
commit 39b6f7a752
1 changed files with 9 additions and 8 deletions
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17
Lib/fontTools/misc/bezierTools.py
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@ -846,17 +846,18 @@ def cubicPointAtT(pt1, pt2, pt3, pt4, t):
Returns:
A 2D tuple with the coordinates of the point.
"""
t2 = t * t
t_1 = 1 - t
t_1_2 = t_1 * t_1
x = (
(1 - t) * (1 - t) * (1 - t) * pt1[0]
+ 3 * (1 - t) * (1 - t) * t * pt2[0]
+ 3 * (1 - t) * t * t * pt3[0]
+ t * t * t * pt4[0]
t_1_2 * t_1 * pt1[0]
+ 3 * (t_1_2 * t * pt2[0] + t_1 * t2 * pt3[0])
+ t2 * t * pt4[0]
)
y = (
(1 - t) * (1 - t) * (1 - t) * pt1[1]
+ 3 * (1 - t) * (1 - t) * t * pt2[1]
+ 3 * (1 - t) * t * t * pt3[1]
+ t * t * t * pt4[1]
t_1_2 * t_1 * pt1[1]
+ 3 * (t_1_2 * t * pt2[1] + t_1 * t2 * pt3[1])
+ t2 * t * pt4[1]
)
return (x, y)