47 lines
2.1 KiB
Scala
47 lines
2.1 KiB
Scala
case class Figure(name: String, edges: ((Double, Double), (Double, Double))*) {}
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object Ray_casting extends App {
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import Math._
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import Double._
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val figures = Array(Figure("Square", ((0.0, 0.0), (10.0, 0.0)),
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((10.0, 0.0), (10.0, 10.0)), ((10.0, 10.0), (0.0, 10.0)),
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((0.0, 10.0), (0.0, 0.0))),
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Figure("Square hole", ((0.0, 0.0), (10.0, 0.0)), ((10.0, 0.0), (10.0, 10.0)),
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((10.0, 10.0), (0.0, 10.0)), ((0.0, 10.0), (0.0, 0.0)),
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((2.5, 2.5), (7.5, 2.5)), ((7.5, 2.5), (7.5, 7.5)),
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((7.5, 7.5), (2.5, 7.5)), ((2.5, 7.5), (2.5, 2.5))),
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Figure("Strange", ((0.0, 0.0), (2.5, 2.5)), ((2.5, 2.5), (0.0, 10.0)),
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((0.0, 10.0), (2.5, 7.5)), ((2.5, 7.5), (7.5, 7.5)),
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((7.5, 7.5), (10.0, 10.0)), ((10.0, 10.0), (10.0, 0.0)),
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((10.0, 0), (2.5, 2.5))),
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Figure("Exagon", ((3.0, 0.0), (7.0, 0.0)), ((7.0, 0.0), (10.0, 5.0)),
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((10.0, 5.0), (7.0, 10.0)), ((7.0, 10.0), (3.0, 10.0)),
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((3.0, 10.0), (0.0, 5.0)), ((0.0, 5.0), (3.0, 0.0))))
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val points = Array((5.0, 5.0), (5.0, 8.0), (-10.0, 5.0), (0.0, 5.0), (10.0, 5.0), (8.0, 5.0), (10.0, 10.0))
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figures foreach { f =>
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println("Is point inside figure " + f.name + '?')
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points foreach { p => println(" " + p + ": " + contains(f, p)) }
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println
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}
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private def raySegI(p: (Double, Double), e: ((Double, Double), (Double, Double))): Boolean = {
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val epsilon = 0.00001
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if (e._1._2 > e._2._2)
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return raySegI(p, (e._2, e._1))
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if (p._2 == e._1._2 || p._2 == e._2._2)
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return raySegI((p._1, p._2 + epsilon), e)
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if (p._2 > e._2._2 || p._2 < e._1._2 || p._1 > max(e._1._1, e._2._1))
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return false
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if (p._1 < min(e._1._1, e._2._1))
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return true
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val blue = if (abs(e._1._1 - p._1) > MinValue) (p._2 - e._1._2) / (p._1 - e._1._1) else MaxValue
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val red = if (abs(e._1._1 - e._2._1) > MinValue) (e._2._2 - e._1._2) / (e._2._1 - e._1._1) else MaxValue
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blue >= red
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}
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private def contains(f: Figure, p: (Double, Double)) = f.edges.count(raySegI(p, _)) % 2 != 0
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}
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