RosettaCodeData/Task/Sutherland-Hodgman-polygon-clipping/Elixir/sutherland-hodgman-polygon-clipping.elixir
2016-12-05 22:15:40 +01:00

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defmodule SutherlandHodgman do
defp inside(cp1, cp2, p), do: (cp2.x-cp1.x)*(p.y-cp1.y) > (cp2.y-cp1.y)*(p.x-cp1.x)
defp intersection(cp1, cp2, s, e) do
{dcx, dcy} = {cp1.x-cp2.x, cp1.y-cp2.y}
{dpx, dpy} = {s.x-e.x, s.y-e.y}
n1 = cp1.x*cp2.y - cp1.y*cp2.x
n2 = s.x*e.y - s.y*e.x
n3 = 1.0 / (dcx*dpy - dcy*dpx)
%{x: (n1*dpx - n2*dcx) * n3, y: (n1*dpy - n2*dcy) * n3}
end
def polygon_clipping(subjectPolygon, clipPolygon) do
Enum.chunk([List.last(clipPolygon) | clipPolygon], 2, 1)
|> Enum.reduce(subjectPolygon, fn [cp1,cp2],acc ->
Enum.chunk([List.last(acc) | acc], 2, 1)
|> Enum.reduce([], fn [s,e],outputList ->
case {inside(cp1, cp2, e), inside(cp1, cp2, s)} do
{true, true} -> [e | outputList]
{true, false} -> [e, intersection(cp1,cp2,s,e) | outputList]
{false, true} -> [intersection(cp1,cp2,s,e) | outputList]
_ -> outputList
end
end)
|> Enum.reverse
end)
end
end
subjectPolygon = [[50, 150], [200, 50], [350, 150], [350, 300], [250, 300],
[200, 250], [150, 350], [100, 250], [100, 200]]
|> Enum.map(fn [x,y] -> %{x: x, y: y} end)
clipPolygon = [[100, 100], [300, 100], [300, 300], [100, 300]]
|> Enum.map(fn [x,y] -> %{x: x, y: y} end)
SutherlandHodgman.polygon_clipping(subjectPolygon, clipPolygon)
|> Enum.each(&IO.inspect/1)