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[perimeterPen] Speed up quadratic by using complex numbers for points

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This commit is contained in:
Behdad Esfahbod 2016-10-29 14:30:01 +02:00
parent 3a4f1fb170
commit c5538eaccf
1 changed files with 8 additions and 9 deletions
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17
Lib/fontTools/pens/perimeterPen.py
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@ -9,10 +9,8 @@ import math
def _distance(p0, p1):
return math.hypot(p0[0] - p1[0], p0[1] - p1[1])
def _diff(a, b):
return (b[0]-a[0], b[1]-a[1])
def _dot(a, b):
return a[0]*b[0] + a[1]*b[1]
def _dot(v1, v2):
return (v1 * v2.conjugate()).real
def _intSecAtan(x):
# In : sympy.integrate(sp.sec(sp.atan(x)))
# Out: x*sqrt(x**2 + 1)/2 + asinh(x)/2
@ -36,11 +34,12 @@ class PerimeterPen(BasePen):
# Analytical solution to the length of a quadratic bezier.
# I'll explain how I arrived at this later.
p0 = self._getCurrentPoint()
d0 = _diff(p0, p1)
d1 = _diff(p1, p2)
d = _diff(d0, d1)
n = (d[1],-d[0])
scale = math.hypot(n[0],n[1])
_p1 = complex(*p1)
d0 = _p1 - complex(*p0)
d1 = complex(*p2) - _p1
d = d1 - d0
n = d * 1j
scale = abs(n)
if scale == 0.:
self._lineTo(p2)
return