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translation along a path
'''draw a range of shapes along a bezier segment'''
# converted from:
# http://13thparallel.com/archive/bezier-curves/
def B1(t): return t*t*t
def B2(t): return 3*t*t*(1-t)
def B3(t): return 3*t*(1-t)*(1-t)
def B4(t): return (1-t)*(1-t)*(1-t)
def getPoint(t, p1, p2, p3, p4):
x1, y1 = p1
x2, y2 = p2
x3, y3 = p3
x4, y4 = p4
x = x1*B1(t) + x2*B2(t) + x3*B3(t) + x4*B4(t)
y = y1*B1(t) + y2*B2(t) + y3*B3(t) + y4*B4(t)
return x, y
size(200, 200)
fill(None)
stroke(1, 0, 0)
strokeWidth(1)
B = BezierPath()
B.moveTo((60, 26))
B.curveTo((-34, 186), (210, 222), (158, 38))
drawPath(B)
p1, p4 = B.onCurvePoints
p2, p3 = B.offCurvePoints
Variable([
dict(name='n', ui='Slider', args=dict(value=80, minValue=2, maxValue=160)),
dict(name='a', ui='Slider', args=dict(value=45.0, minValue=0.0, maxValue=180.0)),
dict(name='f', ui='Slider', args=dict(value=0.5, minValue=0.01, maxValue=1.0)),
],
globals())
n = int(n)
r = 10
for i in range(n+1):
t = i * (1.0 / n)
x, y = getPoint(t, p1, p2, p3, p4)
save()
translate(x, y)
rotate(a)
oval(-r, -r*f, r*2, r*f*2)
restore()
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