// Copyright 2023 Google LLC // Use of this source code is governed by a BSD-style license that can be found in the LICENSE file. #include "modules/bentleyottmann/include/Segment.h" #include "tests/Test.h" using namespace bentleyottmann; DEF_TEST(BO_SegmentBasic, reporter) { { Segment s = {{0, 0}, {1, 1}}; REPORTER_ASSERT(reporter, s.upper() == s.p0); REPORTER_ASSERT(reporter, s.lower() == s.p1); } { Segment s = {{1, 0}, {0, 1}}; REPORTER_ASSERT(reporter, s.upper() == s.p0); REPORTER_ASSERT(reporter, s.lower() == s.p1); } { Segment s = {{1, 1}, {0, 0}}; REPORTER_ASSERT(reporter, s.upper() == s.p1); REPORTER_ASSERT(reporter, s.lower() == s.p0); } { Segment s = {{0, 1}, {1, 0}}; REPORTER_ASSERT(reporter, s.upper() == s.p1); REPORTER_ASSERT(reporter, s.lower() == s.p0); } } static Segment swap_ends(const Segment& s) { return {s.p1, s.p0}; } DEF_TEST(BO_no_intersection_bounding_box, reporter) { Segment interesting[] = {{Point::Smallest(), Point::Smallest()+ Point{10, 5}}, {Point::Largest(), Point::Largest() - Point{10, 5}}, {{-10, -5}, {10, 5}}}; // Intersection for (auto& s0 : interesting) { auto [l, t, r, b] = s0.bounds(); // Points in the interior of interesting rectangles for(Point p : {Point {l + 1, t + 1}, Point {r - 1, t + 1}, Point {r - 1, b - 1}, Point {l + 1, b - 1}}) { Segment s1 = {p, {0, 0}}; REPORTER_ASSERT(reporter, !no_intersection_by_bounding_box(s0, s1)); REPORTER_ASSERT(reporter, !no_intersection_by_bounding_box(s1, s0)); REPORTER_ASSERT(reporter, !no_intersection_by_bounding_box(swap_ends(s0), swap_ends(s1))); REPORTER_ASSERT(reporter, !no_intersection_by_bounding_box(swap_ends(s0), swap_ends(s1))); } } int32_t small = Point::Smallest().x, big = Point::Largest().x; // No Intersection for (auto& s0 : interesting) { auto [l, t, r, b] = s0.bounds(); Segment outside[] = {{{r, t}, {big, b}}, {{r, b}, {big, big}}, {{l, b}, {r, big}}, {{l, b}, {small, big}}, {{l, t}, {small, b}}, {{l, t}, {small, small}}, {{l, t}, {r, small}}, {{r, t}, {small, small}}}; for (auto& s1 : outside) { REPORTER_ASSERT(reporter, no_intersection_by_bounding_box(s0, s1)); REPORTER_ASSERT(reporter, no_intersection_by_bounding_box(s1, s0)); REPORTER_ASSERT(reporter, no_intersection_by_bounding_box(swap_ends(s0), swap_ends(s1))); REPORTER_ASSERT(reporter, no_intersection_by_bounding_box(swap_ends(s0), swap_ends(s1))); } } } DEF_TEST(BO_intersectBasic, reporter) { auto checkIntersection = [reporter](Segment s0, Segment s1, Point expected) { { auto answer = intersect(s0, s1); REPORTER_ASSERT(reporter, answer.has_value()); REPORTER_ASSERT(reporter, answer.value() == expected); } { auto answer = intersect(s1, s0); REPORTER_ASSERT(reporter, answer.has_value()); REPORTER_ASSERT(reporter, answer.value() == expected); } { auto answer = intersect(swap_ends(s0), swap_ends(s1)); REPORTER_ASSERT(reporter, answer.has_value()); REPORTER_ASSERT(reporter, answer.value() == expected); } { auto answer = intersect(swap_ends(s1), swap_ends(s0)); REPORTER_ASSERT(reporter, answer.has_value()); REPORTER_ASSERT(reporter, answer.value() == expected); } }; { Segment s0 = {{-1, 0}, {1, 0}}, s1 = {{ 0, 1}, {0, -1}}; checkIntersection(s0, s1, Point{0, 0}); } { Segment s0 = {{-1, 0}, {5, 0}}, s1 = {{ 0, 1}, {0, -1}}; checkIntersection(s0, s1, Point{0, 0}); } { Segment s0 = {{5, 0}, {-1, 0}}, s1 = {{ 0, -1}, {0, 1}}; checkIntersection(s0, s1, Point{0, 0}); } { Segment s0 = {{-5, -5}, {5, 5}}, s1 = {{-5, 5}, {5, -5}}; checkIntersection(s0, s1, Point{0, 0}); } // Test very close segments (x0, 0) -> (x1, 1) & (x2, 0) -> (x3, 1) for (int32_t x0 = -10; x0 <= 10; x0++) { for (int32_t x1 = -10; x1 <= 10; x1++) { for (int32_t x2 = -10; x2 <= 10; x2++) { for (int32_t x3 = -10; x3 <= 10; x3++) { Point P0 = {x0, 0}, P1 = {x1, 1}, P2 = {x2, 0}, P3 = {x3, 1}; auto actual = intersect({P0, P1}, {P2, P3}); bool expected = (x0 < x2 && x3 < x1) || (x2 < x0 && x1 < x3); REPORTER_ASSERT(reporter, actual.has_value() == expected); if (actual) { int32_t y = std::abs(x2 - x0) >= std::abs(x3 - x1); REPORTER_ASSERT(reporter, actual.value().y == y); } } } } } { Segment s0 = {{0, -100}, {0, -50}}, s1 = {{100, -100}, {-100, 100}}; // goes through (0,0) auto answer = intersect(s0, s1); REPORTER_ASSERT(reporter, !answer.has_value()); answer = intersect(s1, s0); REPORTER_ASSERT(reporter, !answer.has_value()); } { Segment s0 = {{0, 100}, {0, 50}}, s1 = {{100, -100}, {-100, 100}}; // goes through (0,0) auto answer = intersect(s0, s1); REPORTER_ASSERT(reporter, !answer.has_value()); answer = intersect(s1, s0); REPORTER_ASSERT(reporter, !answer.has_value()); } } DEF_TEST(BO_lessAtBasic, reporter) { { // Parallel lines Segment s0 = {{-1, 1}, {-1, -1}}, s1 = {{1, 1}, {1, -1}}; REPORTER_ASSERT(reporter, less_than_at(s0, s1, -1)); REPORTER_ASSERT(reporter, !less_than_at(s1, s0, -1)); REPORTER_ASSERT(reporter, less_than_at(s0, s1, 0)); REPORTER_ASSERT(reporter, !less_than_at(s1, s0, 0)); REPORTER_ASSERT(reporter, less_than_at(s0, s1, 1)); REPORTER_ASSERT(reporter, !less_than_at(s1, s0, 1)); } { // Crossed lines Segment s0 = {{-1, -1}, {1, 1}}, s1 = {{1, -1}, {-1, 1}}; REPORTER_ASSERT(reporter, less_than_at(s0, s1, -1)); REPORTER_ASSERT(reporter, !less_than_at(s1, s0, -1)); // When they are == neither is less. REPORTER_ASSERT(reporter, !less_than_at(s0, s1, 0)); REPORTER_ASSERT(reporter, !less_than_at(s1, s0, 0)); REPORTER_ASSERT(reporter, !less_than_at(s0, s1, 1)); REPORTER_ASSERT(reporter, less_than_at(s1, s0, 1)); } { // Near crossing Segment s0 = {{0, -100}, {0, 100}}, s1 = {{-3, 98}, {3, 104}}; REPORTER_ASSERT(reporter, !less_than_at(s0, s1, 98)); REPORTER_ASSERT(reporter, less_than_at(s1, s0, 98)); REPORTER_ASSERT(reporter, !less_than_at(s0, s1, 99)); REPORTER_ASSERT(reporter, less_than_at(s1, s0, 99)); REPORTER_ASSERT(reporter, !less_than_at(s0, s1, 100)); REPORTER_ASSERT(reporter, less_than_at(s1, s0, 100)); } } DEF_TEST(BO_compareSlopesBasic, reporter) { { // Both horizontal Segment s0 = {{-1, 1}, {0, 1}}, s1 = {{-2, 1}, {1, 1}}; REPORTER_ASSERT(reporter, compare_slopes(s0, s1) == 0); REPORTER_ASSERT(reporter, compare_slopes(s1, s0) == 0); } { // One horizontal Segment s0 = {{-1, 1}, {0, 0}}, s1 = {{-2, 1}, {1, 1}}; REPORTER_ASSERT(reporter, compare_slopes(s0, s1) == -1); REPORTER_ASSERT(reporter, compare_slopes(s1, s0) == 1); } { // One vertical Segment s0 = {{-1, 1}, {-1, 0}}, // Vertical s1 = {{-2, 1}, {-1, 0}}, s2 = {{2, 1}, {-1, 0}}; REPORTER_ASSERT(reporter, compare_slopes(s0, s1) == 1); REPORTER_ASSERT(reporter, compare_slopes(s1, s0) == -1); REPORTER_ASSERT(reporter, compare_slopes(s0, s2) == -1); REPORTER_ASSERT(reporter, compare_slopes(s2, s0) == 1); } { // Equal slope Segment s0 = {{-2, 1}, {0, 0}}, s1 = {{-4, 2}, {0, 0}}; REPORTER_ASSERT(reporter, compare_slopes(s0, s1) == 0); REPORTER_ASSERT(reporter, compare_slopes(s1, s0) == 0); } { // Equal slope Segment s0 = {{2, 1}, {0, 0}}, s1 = {{4, 2}, {0, 0}}; REPORTER_ASSERT(reporter, compare_slopes(s0, s1) == 0); REPORTER_ASSERT(reporter, compare_slopes(s1, s0) == 0); } { Segment s0 = {{-2, 1}, {0, 0}}, s1 = {{4, 2}, {0, 0}}; REPORTER_ASSERT(reporter, compare_slopes(s0, s1) == -1); REPORTER_ASSERT(reporter, compare_slopes(s1, s0) == 1); } { Segment s0 = {{-2, 1}, {0, 0}}, s1 = {{-3, 1}, {0, 0}}; REPORTER_ASSERT(reporter, compare_slopes(s0, s1) == 1); REPORTER_ASSERT(reporter, compare_slopes(s1, s0) == -1); } } DEF_TEST(BO_rounded_point_less_than_segment_in_x_lower, reporter) { { // Vertical segment Segment s = {{3, -50}, {3, 50}}; REPORTER_ASSERT(reporter, rounded_point_less_than_segment_in_x_lower(s, {4, 7})); REPORTER_ASSERT(reporter, !rounded_point_less_than_segment_in_x_lower(s, {3, 7})); REPORTER_ASSERT(reporter, !rounded_point_less_than_segment_in_x_lower(s, {2, 7})); } { // Horizontal segment Segment s = {{-10, 3}, {10, 3}}; REPORTER_ASSERT(reporter, rounded_point_less_than_segment_in_x_lower(s, {11, 3})); REPORTER_ASSERT(reporter, !rounded_point_less_than_segment_in_x_lower(s, {10, 3})); REPORTER_ASSERT(reporter, !rounded_point_less_than_segment_in_x_lower(s, {4, 3})); REPORTER_ASSERT(reporter, !rounded_point_less_than_segment_in_x_lower(s, {-10, 3})); REPORTER_ASSERT(reporter, !rounded_point_less_than_segment_in_x_lower(s, {-11, 3})); } { // Pass through {0, 0} Segment s = {{-100, -100}, {100, 100}}; REPORTER_ASSERT(reporter, rounded_point_less_than_segment_in_x_lower(s, {1, 0})); REPORTER_ASSERT(reporter, !rounded_point_less_than_segment_in_x_lower(s, {0, 0})); REPORTER_ASSERT(reporter, !rounded_point_less_than_segment_in_x_lower(s, {-1, 0})); } { // Just left of {0, 0}, but still rounds to {0, 0} Segment s = {{-100, -100}, {199, 200}}; REPORTER_ASSERT(reporter, rounded_point_less_than_segment_in_x_lower(s, {1, 0})); REPORTER_ASSERT(reporter, !rounded_point_less_than_segment_in_x_lower(s, {0, 0})); REPORTER_ASSERT(reporter, !rounded_point_less_than_segment_in_x_lower(s, {-1, 0})); } { // Just right of {0, 0}, but still rounds to {0, 0} Segment s = {{-100, -100}, {201, 200}}; REPORTER_ASSERT(reporter, rounded_point_less_than_segment_in_x_lower(s, {1, 0})); REPORTER_ASSERT(reporter, !rounded_point_less_than_segment_in_x_lower(s, {0, 0})); REPORTER_ASSERT(reporter, !rounded_point_less_than_segment_in_x_lower(s, {-1, 0})); } } DEF_TEST(BO_rounded_point_less_than_segment_in_x_upper, reporter) { { // Vertical segment Segment s = {{3, -50}, {3, 50}}; REPORTER_ASSERT(reporter, rounded_point_less_than_segment_in_x_upper(s, {4, 7})); REPORTER_ASSERT(reporter, rounded_point_less_than_segment_in_x_upper(s, {3, 7})); REPORTER_ASSERT(reporter, !rounded_point_less_than_segment_in_x_upper(s, {2, 7})); } { // Horizontal segment Segment s = {{-10, 3}, {10, 3}}; REPORTER_ASSERT(reporter, rounded_point_less_than_segment_in_x_upper(s, {11, 3})); REPORTER_ASSERT(reporter, rounded_point_less_than_segment_in_x_upper(s, {10, 3})); REPORTER_ASSERT(reporter, !rounded_point_less_than_segment_in_x_upper(s, {4, 3})); REPORTER_ASSERT(reporter, !rounded_point_less_than_segment_in_x_upper(s, {-10, 3})); REPORTER_ASSERT(reporter, !rounded_point_less_than_segment_in_x_upper(s, {-11, 3})); } { // Pass through {0, 0} Segment s = {{-100, -100}, {100, 100}}; REPORTER_ASSERT(reporter, rounded_point_less_than_segment_in_x_upper(s, {1, 0})); REPORTER_ASSERT(reporter, rounded_point_less_than_segment_in_x_upper(s, {0, 0})); REPORTER_ASSERT(reporter, !rounded_point_less_than_segment_in_x_upper(s, {-1, 0})); } { // Just left of {0, 0}, but still rounds to {0, 0} Segment s = {{-100, -100}, {199, 200}}; REPORTER_ASSERT(reporter, rounded_point_less_than_segment_in_x_upper(s, {1, 0})); REPORTER_ASSERT(reporter, rounded_point_less_than_segment_in_x_upper(s, {0, 0})); REPORTER_ASSERT(reporter, !rounded_point_less_than_segment_in_x_upper(s, {-1, 0})); } { // Just right of {0, 0}, but still rounds to {0, 0} Segment s = {{-100, -100}, {201, 200}}; REPORTER_ASSERT(reporter, rounded_point_less_than_segment_in_x_upper(s, {1, 0})); REPORTER_ASSERT(reporter, rounded_point_less_than_segment_in_x_upper(s, {0, 0})); REPORTER_ASSERT(reporter, !rounded_point_less_than_segment_in_x_upper(s, {-1, 0})); } }