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intersectを実装 #63

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Nov 2, 2023
Merged

intersectを実装 #63

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9 changes: 8 additions & 1 deletion src/atcoder/extra/geometry/geometry_template.nim
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Original file line number Diff line number Diff line change
Expand Up @@ -160,7 +160,14 @@ when not declared ATCODER_GEOMETRY_TEMPLATE_HPP:

# intersect function {{{
proc intersect*[Real](l, m: Line[Real]):bool =
abs(cross(l.b - l.a, m.b - m.a)) >~ 0.Real or abs(cross(l.b - l.a, m.b - l.a)) <~ 0.Real
cross(l.b - l.a, m.b - m.a) >~ 0 or cross(l.b - l.a, m.b - l.a) <~ 0

swappableProc intersect(l: Line[Real], p: Point[Real]):
cross(l.a-l.b, p-l.b) =~ 0 or cross(l.b-l.a, p-l.a) =~ 0

swappableProc intersect(s: Segment[Real], p: Point[Real]):
let dotp = dot(s.a-s.b, p-s.b)
intersect(Line[Real](s), p) and (0 <=~ dotp) and (dotp <=~ norm(s.a-s.b))

swappableProc intersect(l: Line[Real], s: Segment[Real]):
cross(l.b - l.a, s.a - l.a) * cross(l.b - l.a, s.b - l.a) <~ 0.Real
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