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def tick args
args.outputs.background_color = [33, 33, 33]
args.outputs.lines << bezier(100, 100,
100, 620,
1180, 620,
1180, 100,
0)
args.outputs.lines << bezier(100, 100,
100, 620,
1180, 620,
1180, 100,
20)
end
def bezier x1, y1, x2, y2, x3, y3, x4, y4, step
step ||= 0
color = [200, 200, 200]
points = points_for_bezier [x1, y1], [x2, y2], [x3, y3], [x4, y4], step
points.each_cons(2).map do |p1, p2|
[p1, p2, color]
end
end
def points_for_bezier p1, p2, p3, p4, step
points = []
if step == 0
[p1, p2, p3, p4]
else
t_step = 1.fdiv(step + 1)
t = 0
t += t_step
points = []
while t < 1
points << [
b_for_t(p1.x, p2.x, p3.x, p4.x, t),
b_for_t(p1.y, p2.y, p3.y, p4.y, t),
]
t += t_step
end
[
p1,
*points,
p4
]
end
end
def b_for_t v0, v1, v2, v3, t
pow(1 - t, 3) * v0 +
3 * pow(1 - t, 2) * t * v1 +
3 * (1 - t) * pow(t, 2) * v2 +
pow(t, 3) * v3
end
def pow n, to
n ** to
end
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