Don't report intersection if two polygons are only touching.
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@ -1554,14 +1554,16 @@ namespace rotcalip {
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using int256_t = boost::multiprecision::int256_t;
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using int128_t = boost::multiprecision::int128_t;
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inline int128_t magnsq(const Point &p)
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template<class Scalar = int64_t>
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inline Scalar magnsq(const Point &p)
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{
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return int128_t(p.x()) * p.x() + int64_t(p.y()) * p.y();
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return Scalar(p.x()) * p.x() + Scalar(p.y()) * p.y();
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}
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inline int128_t dot(const Point &a, const Point &b)
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template<class Scalar = int64_t>
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inline Scalar dot(const Point &a, const Point &b)
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{
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return int128_t(a.x()) * b.x() + int64_t(a.y()) * b.y();
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return Scalar(a.x()) * b.x() + Scalar(a.y()) * b.y();
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}
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template<class Scalar = int64_t>
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@ -1667,7 +1669,6 @@ bool intersects(const Polygon &A, const Polygon &B)
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// Establish starting antipodals as extremes in XY plane. Use the
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// easily obtainable bounding boxes to check if A and B is disjoint
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// and return false if the are.
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struct BB
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{
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size_t xmin = 0, xmax = 0, ymin = 0, ymax = 0;
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@ -1724,24 +1725,18 @@ bool intersects(const Polygon &A, const Polygon &B)
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bool is_left_a = dotperp( dir, ref_a - A[ia]) > 0;
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bool is_left_b = dotperp(-dir, ref_b - B[ib]) > 0;
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// If both reference points are on the left (or right) of the
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// support line and the opposite support line is to the righ (or
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// left), the divisor line is found. We only test the reference
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// point, as by definition, if that is on one side, all the other
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// points must be on the same side of a support line.
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// If both reference points are on the left (or right) of their
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// respective support lines and the opposite support line is to
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// the right (or left), the divisor line is found. We only test
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// the reference point, as by definition, if that is on one side,
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// all the other points must be on the same side of a support
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// line. If the support lines are collinear, the polygons must be
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// on the same side of their respective support lines.
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auto d = dotperp(dir, B[ib] - A[ia]);
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if (d == 0 && ((is_left_a && is_left_b) || (!is_left_a && !is_left_b))) {
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if (d == 0) {
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// The caliper lines are collinear, not just parallel
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// Check if the lines are overlapping and if they do ignore the divisor
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Point a = A[ia], b = A[(ia + 1) % A.size()];
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if (b < a) std::swap(a, b);
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Point c = B[ib], d = B[(ib + 1) % B.size()];
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if (d < c) std::swap(c, d);
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found_divisor = b < c;
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found_divisor = (is_left_a && is_left_b) || (!is_left_a && !is_left_b);
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} else if (d > 0) { // B is to the left of (A, A+1)
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found_divisor = !is_left_a && !is_left_b;
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} else { // B is to the right of (A, A+1)
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@ -532,7 +532,9 @@ inline bool is_rotation_ninety_degrees(const Vec3d &rotation)
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return is_rotation_ninety_degrees(rotation.x()) && is_rotation_ninety_degrees(rotation.y()) && is_rotation_ninety_degrees(rotation.z());
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}
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bool intersects(const Polygon &convex_poly1, const Polygon &convex_poly2);
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// Returns true if the intersection of the two convex polygons A and B
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// is not an empty set.
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bool intersects(const Polygon &A, const Polygon &B);
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} } // namespace Slicer::Geometry
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@ -470,7 +470,7 @@ TEST_CASE("Convex polygon intersection on two disjoint squares", "[Geometry][Rot
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bool is_inters = Geometry::intersects(A, B);
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REQUIRE(is_inters != true);
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REQUIRE(is_inters == false);
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}
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TEST_CASE("Convex polygon intersection on two intersecting squares", "[Geometry][Rotcalip]") {
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@ -494,7 +494,7 @@ TEST_CASE("Convex polygon intersection on two squares touching one edge", "[Geom
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bool is_inters = Geometry::intersects(A, B);
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REQUIRE(is_inters == true);
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REQUIRE(is_inters == false);
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}
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TEST_CASE("Convex polygon intersection on two squares touching one vertex", "[Geometry][Rotcalip]") {
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@ -502,11 +502,16 @@ TEST_CASE("Convex polygon intersection on two squares touching one vertex", "[Ge
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A.scale(1. / SCALING_FACTOR);
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Polygon B = A;
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B.translate(10 / SCALING_FACTOR, 10);
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B.translate(10 / SCALING_FACTOR, 10 / SCALING_FACTOR);
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SVG svg{std::string("one_vertex_touch") + ".svg"};
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svg.draw(A, "blue");
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svg.draw(B, "green");
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svg.Close();
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bool is_inters = Geometry::intersects(A, B);
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REQUIRE(is_inters == true);
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REQUIRE(is_inters == false);
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}
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TEST_CASE("Convex polygon intersection on two overlapping squares", "[Geometry][Rotcalip]") {
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@ -520,7 +525,7 @@ TEST_CASE("Convex polygon intersection on two overlapping squares", "[Geometry][
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REQUIRE(is_inters == true);
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}
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// Only for benchmarking
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//// Only for benchmarking
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//static Polygon gen_convex_poly(std::mt19937_64 &rg, size_t point_cnt)
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//{
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// std::uniform_int_distribution<coord_t> dist(0, 100);
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@ -540,7 +545,9 @@ TEST_CASE("Convex polygon intersection on two overlapping squares", "[Geometry][
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// constexpr size_t TEST_CNT = 1000;
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// constexpr size_t POINT_CNT = 1000;
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// std::mt19937_64 rg{std::random_device{}()};
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// auto seed = std::random_device{}();
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//// unsigned long seed = 2525634386;
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// std::mt19937_64 rg{seed};
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// Benchmark bench;
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// auto tests = reserve_vector<std::pair<Polygon, Polygon>>(TEST_CNT);
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@ -567,11 +574,12 @@ TEST_CASE("Convex polygon intersection on two overlapping squares", "[Geometry][
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// REQUIRE(results.size() == expects.size());
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// auto seedstr = std::to_string(seed);
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// for (size_t i = 0; i < results.size(); ++i) {
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// // std::cout << expects[i] << " ";
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// if (results[i] != expects[i]) {
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// SVG svg{std::string("fail") + std::to_string(i) + ".svg"};
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// SVG svg{std::string("fail_seed") + seedstr + "_" + std::to_string(i) + ".svg"};
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// svg.draw(tests[i].first, "blue");
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// svg.draw(tests[i].second, "green");
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// svg.Close();
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