mirror of https://github.com/CGAL/cgal
Revert b95c60fc9f
One orientation is not sufficient to determine which segment realizes the min.
Reverting to the previous implementation.
b95c60fc9f
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2dd39271e6
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@ -66,7 +66,16 @@ squared_distance_to_triangle_RT(const typename K::Point_3& pt,
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const Vector_3 oe3 = vector(t0, t2);
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const Vector_3 normal = wcross(e1, oe3, k);
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if(normal == NULL_VECTOR)
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if(normal != NULL_VECTOR &&
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on_left_of_triangle_edge(pt, normal, t0, t1, k) &&
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on_left_of_triangle_edge(pt, normal, t1, t2, k) &&
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on_left_of_triangle_edge(pt, normal, t2, t0, k))
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{
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// The projection of pt is inside the triangle
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inside = true;
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squared_distance_to_plane_RT(normal, vector(t0, pt), num, den, k);
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}
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else
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{
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// The case normal == NULL_VECTOR covers the case when the triangle
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// is collinear, or even more degenerate. In that case, we can
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@ -89,34 +98,7 @@ squared_distance_to_triangle_RT(const typename K::Point_3& pt,
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num = num2;
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den = den2;
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}
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return;
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}
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const bool b01 = on_left_of_triangle_edge(pt, normal, t0, t1, k);
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if(!b01)
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{
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squared_distance_RT(pt, segment(t0, t1), num, den, k);
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return;
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}
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const bool b12 = on_left_of_triangle_edge(pt, normal, t1, t2, k);
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if(!b12)
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{
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squared_distance_RT(pt, segment(t1, t2), num, den, k);
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return;
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}
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const bool b20 = on_left_of_triangle_edge(pt, normal, t2, t0, k);
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if(!b20)
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{
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squared_distance_RT(pt, segment(t2, t0), num, den, k);
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return;
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}
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// The projection of pt is inside the triangle
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inside = true;
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squared_distance_to_plane_RT(normal, vector(t0, pt), num, den, k);
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}
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template <class K>
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@ -158,7 +140,16 @@ squared_distance_to_triangle(const typename K::Point_3& pt,
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const Vector_3 oe3 = vector(t0, t2);
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const Vector_3 normal = wcross(e1, oe3, k);
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if(normal == NULL_VECTOR)
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if(normal != NULL_VECTOR &&
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on_left_of_triangle_edge(pt, normal, t0, t1, k) &&
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on_left_of_triangle_edge(pt, normal, t1, t2, k) &&
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on_left_of_triangle_edge(pt, normal, t2, t0, k))
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{
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// the projection of pt is inside the triangle
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inside = true;
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return squared_distance_to_plane(normal, vector(t0, pt), k);
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}
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else
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{
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// The case normal == NULL_VECTOR covers the case when the triangle
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// is collinear, or even more degenerate. In that case, we can
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@ -167,28 +158,12 @@ squared_distance_to_triangle(const typename K::Point_3& pt,
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// Note that in the degenerate case, at most 2 edges cover the full triangle,
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// and only two distances could be used, but leaving 3 for the case of
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// inexact constructions as it might improve the accuracy.
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typename K::FT d1 = sq_dist(pt, segment(t2, t0));
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typename K::FT d2 = sq_dist(pt, segment(t1, t2));
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typename K::FT d3 = sq_dist(pt, segment(t0, t1));
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typename K::FT d1 = internal::squared_distance(pt, segment(t2, t0), k);
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typename K::FT d2 = internal::squared_distance(pt, segment(t1, t2), k);
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typename K::FT d3 = internal::squared_distance(pt, segment(t0, t1), k);
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return (std::min)((std::min)(d1, d2), d3);
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}
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const bool b01 = on_left_of_triangle_edge(pt, normal, t0, t1, k);
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if(!b01)
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return sq_dist(pt, segment(t0, t1));
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const bool b12 = on_left_of_triangle_edge(pt, normal, t1, t2, k);
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if(!b12)
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return sq_dist(pt, segment(t1, t2));
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const bool b20 = on_left_of_triangle_edge(pt, normal, t2, t0, k);
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if(!b20)
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return sq_dist(pt, segment(t2, t0));
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// The projection of pt is inside the triangle
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inside = true;
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return squared_distance_to_plane(normal, vector(t0, pt), k);
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}
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template <class K>
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