#include #include #include struct PB { Vector2f point; Vector2f boundary[3]; bool outside; }; static const PB points_boundaries[] = { { {0.1f,0.1f}, {{0.0f,0.0f}, {0.0f,1.0f}, {1.0f,0.0f}}, false }, // test for winding order issues: { {0.9f,0.9f}, {{0.0f,0.0f}, {1.0f,0.0f}, {0.0f,1.0f}}, true }, { {0.9f,0.9f}, {{0.0f,1.0f}, {0.0f,0.0f}, {1.0f,0.0f}}, true }, { {0.9f,0.9f}, {{1.0f,0.0f}, {0.0f,1.0f}, {0.0f,0.0f}}, true }, { {0.9f,0.9f}, {{0.0f,1.0f}, {1.0f,0.0f}, {0.0f,0.0f}}, true }, { {0.1f,0.1f}, {{0.0f,0.0f}, {1.0f,0.0f}, {0.0f,1.0f}}, false }, { {0.1f,0.1f}, {{0.0f,1.0f}, {0.0f,0.0f}, {1.0f,0.0f}}, false }, { {0.1f,0.1f}, {{1.0f,0.0f}, {0.0f,1.0f}, {0.0f,0.0f}}, false }, { {0.1f,0.1f}, {{0.0f,1.0f}, {1.0f,0.0f}, {0.0f,0.0f}}, false }, { {0.99f-10.0f,0.99f-10.0f}, {{0.0f-10.0f,1.0f-10.0f}, {1.0f-10.0f,0.0f-10.0f}, {0.0f-10.0f,0.0f-10.0f}}, true }, { {99.0f,99.0f}, {{0.0f,100.0f}, {100.0f,0.0f}, {0.0f,0.0f}}, true }, { {0.1f,0.0f}, {{0.0f,0.0f}, {0.0f,1.0f}, {1.0f,0.0f}}, false }, { {0.0f,0.99f}, {{0.0f,0.0f}, {0.0f,1.0f}, {1.0f,0.0f}}, false }, { {0.99f,0.0f}, {{0.0f,0.0f}, {0.0f,1.0f}, {1.0f,0.0f}}, false }, { {1.01f,0.0f}, {{0.0f,0.0f}, {0.0f,1.0f}, {1.0f,0.0f}}, true }, { {0.0f,1.01f}, {{0.0f,0.0f}, {0.0f,1.0f}, {1.0f,0.0f}}, true }, { {2.0f,2.0f}, {{0.0f,0.0f}, {0.0f,1.0f}, {1.0f,0.0f}}, true }, { {-2.0f,-2.0f}, {{0.0f,0.0f}, {0.0f,1.0f}, {1.0f,0.0f}}, true }, { {-0.05f,0.0f}, {{0.0f,0.0f}, {0.0f,1.0f}, {1.0f,0.0f}}, true }, { {0.0f,-0.05f}, {{0.0f,0.0f}, {0.0f,1.0f}, {1.0f,0.0f}}, true }, }; TEST(Polygon, outside) { // uint8_t count = 0; for (const struct PB &pb : points_boundaries) { // ::fprintf(stderr, "count=%u\n", count++); Vector2f v[4]; memcpy(v, pb.boundary, sizeof(pb.boundary)); v[3] = v[0]; // close it EXPECT_EQ(pb.outside, Polygon_outside(pb.point, v, 4)); } } struct SquareBoundary { Vector2f point; Vector2f boundary[4]; bool outside; }; static const SquareBoundary square_boundaries[] = { { {1.0f,1.0f}, {{0.0f,0.0f}, {0.0f,10.0f}, {10.0, 10.0}, {10.0f,0.0f}}, false }, { {9.0f,9.0f}, {{0.0f,0.0f}, {0.0f,10.0f}, {10.0, 10.0}, {10.0f,0.0f}}, false }, { {1.0f,9.0f}, {{0.0f,0.0f}, {0.0f,10.0f}, {10.0, 10.0}, {10.0f,0.0f}}, false }, { {9.0f,1.0f}, {{0.0f,0.0f}, {0.0f,10.0f}, {10.0, 10.0}, {10.0f,0.0f}}, false }, }; TEST(Polygon, square_boundaries) { // uint8_t count = 0; for (const auto &pb : square_boundaries) { // ::fprintf(stderr, "count=%u\n", count++); Vector2f v[5]; memcpy(v, pb.boundary, sizeof(pb.boundary)); v[4] = v[0]; // close it EXPECT_EQ(pb.outside, Polygon_outside(pb.point, v, 5)); EXPECT_EQ(Polygon_outside(pb.point, v, 4), Polygon_outside(pb.point, v, 5)); } } TEST(Polygon, circle_outside_triangle) { const Vector2f triangle[] = {{0.0f,0.0f}, {1.0f,0.0f}, {0.0f,1.0f}}; Vector2f triangle_closed[4]; memcpy(triangle_closed, triangle, sizeof(triangle)); triangle_closed[3] = triangle_closed[0]; const float radius = 0.8f; for (uint16_t i=0; i<360; i++) { const float x = radius * sin(radians(i)) + 0.5f; const float y = radius * cos(radians(i)) + 0.5f; EXPECT_EQ(true, Polygon_outside(Vector2f{x,y}, triangle_closed, 4)); EXPECT_EQ(Polygon_outside(Vector2f{x,y}, triangle_closed, 3), Polygon_outside(Vector2f{x,y}, triangle_closed, 4)); } } TEST(Polygon, circle_inside_triangle) { const Vector2f triangle[] = {{0.0f,0.0f}, {1.0f,0.0f}, {0.0f,1.0f}}; Vector2f triangle_closed[4]; memcpy(triangle_closed, triangle, sizeof(triangle)); triangle_closed[3] = triangle_closed[0]; const float radius = 0.2f; for (uint16_t i=0; i<360; i++) { const float x = radius * sin(radians(i)) + 0.2f; const float y = radius * cos(radians(i)) + 0.2f; EXPECT_EQ(false, Polygon_outside(Vector2f{x,y}, triangle_closed, 4)); EXPECT_EQ(Polygon_outside(Vector2f{x,y}, triangle_closed, 3), Polygon_outside(Vector2f{x,y}, triangle_closed, 4)); } } TEST(Polygon, complex) { const Vector2f poly[] = { {0.0f,0.0f}, {0.0f,10.0f}, {5.0, 10.0f}, {5.0f,5.0f}, {3.0f,5.0f}, {3.0f,6.0f}, {4.0f,6.0f}, {4.0f,9.0f}, {4.0f,9.0f}, {1.0f,9.0f}, {1.0f,6.0f}, {2.0f,6.0f}, {2.0f,5.0f}, {1.0f,5.0f}, {1.0f,0.0f}, }; const Vector2f inside_points[] = { {0.1f, 0.1f}, {4.5f, 9.5f}, {0.5f, 9.5f}, }; const Vector2f outside_points[] = { {3.0f, 8.0f}, {5.5f, 10.0f}, {2.0f, 2.0f}, {2.5f, 5.5f}, {1.5f, 6.5f}, }; Vector2f closed_poly[sizeof(poly) + sizeof(Vector2f)]; memcpy(closed_poly, poly, sizeof(poly)); const uint16_t n = ARRAY_SIZE(closed_poly); closed_poly[n-1] = closed_poly[0]; for (const auto &point : inside_points) { EXPECT_EQ(false, Polygon_outside(point, closed_poly, n)); EXPECT_EQ(Polygon_outside(point, closed_poly, n-1), Polygon_outside(point, closed_poly, n)); } for (const auto &point : outside_points) { EXPECT_EQ(true, Polygon_outside(point, closed_poly, n)); EXPECT_EQ(Polygon_outside(point, closed_poly, n-1), Polygon_outside(point, closed_poly, n)); } } TEST(Polygon, circle_outside_square) { const Vector2f square[] = {{0.0f,0.0f}, {0.0f,10.0f}, {10.0, 10.0}, {10.0f,0.0f}}; Vector2f square_closed[5]; memcpy(square_closed, square, sizeof(square)); square_closed[4] = square_closed[0]; const float radius = 8.0f; for (uint16_t i=0; i<360; i++) { const float x = radius * sin(radians(i)) + 5.0f; const float y = radius * cos(radians(i)) + 5.0f; EXPECT_EQ(true, Polygon_outside(Vector2f{x,y}, square_closed, 4)); EXPECT_EQ(Polygon_outside(Vector2f{x,y}, square_closed, 3), Polygon_outside(Vector2f{x,y}, square_closed, 4)); } } struct PB_long { Vector2l point; Vector2l boundary[3]; bool outside; }; static const PB_long points_boundaries_long[] = { { {1000000,1000000}, {{0,0}, {0,10000000}, {10000000,0}}, false }, // test for winding order issues: { {9000000,9000000}, {{0,0}, {10000000,0}, {0,10000000}}, true }, { {9000000,9000000}, {{0,10000000}, {0,0}, {10000000,0}}, true }, { {9000000,9000000}, {{10000000,0}, {0,10000000}, {0,0}}, true }, { {9000000,9000000}, {{0,10000000}, {10000000,0}, {0,0}}, true }, { {1000000,1000000}, {{0,0}, {10000000,0}, {0,10000000}}, false }, { {1000000,1000000}, {{0,10000000}, {0,0}, {10000000,0}}, false }, { {1000000,1000000}, {{10000000,0}, {0,10000000}, {0,0}}, false }, { {1000000,1000000}, {{0,10000000}, {10000000,0}, {0,0}}, false }, { {9900000-10,9900000-10}, {{0-10,10000000-10}, {10000000-10,0-10}, {0-10,0-10}}, true }, { {990000000,990000000}, {{0,100}, {100,0}, {0,0}}, true }, { {1000000,0}, {{0,0}, {0,10000000}, {10000000,0}}, false }, { {0,9900000}, {{0,0}, {0,10000000}, {10000000,0}}, false }, { {9900000,0}, {{0,0}, {0,10000000}, {10000000,0}}, false }, { {10100000,0}, {{0,0}, {0,10000000}, {10000000,0}}, true }, { {0,10100000}, {{0,0}, {0,10000000}, {10000000,0}}, true }, { {20000000,20000000}, {{0,0}, {0,10000000}, {10000000,0}}, true }, { {-20000000,-20000000}, {{0,0}, {0,10000000}, {10000000,0}}, true }, { {-500000,0}, {{0,0}, {0,10000000}, {10000000,0}}, true }, { {0,-500000}, {{0,0}, {0,10000000}, {10000000,0}}, true }, }; TEST(Polygon, outside_long) { // uint8_t count = 0; for (const struct PB_long &pb : points_boundaries_long) { // ::fprintf(stderr, "count=%u\n", count++); Vector2l v[4]; memcpy(v, pb.boundary, sizeof(pb.boundary)); v[3] = v[0]; // close it EXPECT_EQ(pb.outside, Polygon_outside(pb.point, v, 4)); } } TEST(Polygon, outside_long_closed_equal_to_unclosed) { // uint8_t count = 0; for (const struct PB_long &pb : points_boundaries_long) { // ::fprintf(stderr, "count=%u\n", count++); Vector2l v[4]; memcpy(v, pb.boundary, sizeof(pb.boundary)); v[3] = v[0]; // close it EXPECT_EQ(Polygon_outside(pb.point, v, 3), Polygon_outside(pb.point, v, 4)); } } #define TEST_POLYGON_POINTS(POLYGON, TEST_POINTS) \ do { \ for (uint32_t i = 0; i < ARRAY_SIZE(TEST_POINTS); i++) { \ EXPECT_EQ(TEST_POINTS[i].outside, \ Polygon_outside(TEST_POINTS[i].point, \ POLYGON, ARRAY_SIZE(POLYGON))); \ } \ } while(0) // this OBC polygon test stolen from the polygon Math example /* * this is the boundary of the 2010 outback challenge * Note that the last point must be the same as the first for the * Polygon_outside() algorithm */ static const Vector2l OBC_boundary[] = { Vector2l(-265695640, 1518373730), Vector2l(-265699560, 1518394050), Vector2l(-265768230, 1518411420), Vector2l(-265773080, 1518403440), Vector2l(-265815110, 1518419500), Vector2l(-265784860, 1518474690), Vector2l(-265994890, 1518528860), Vector2l(-266092110, 1518747420), Vector2l(-266454780, 1518820530), Vector2l(-266435720, 1518303500), Vector2l(-265875990, 1518344050), Vector2l(-265695640, 1518373730) }; static const struct { Vector2l point; bool outside; } OBC_test_points[] = { { Vector2l(-266398870, 1518220000), true }, { Vector2l(-266418700, 1518709260), false }, { Vector2l(-350000000, 1490000000), true }, { Vector2l(0, 0), true }, { Vector2l(-265768150, 1518408250), false }, { Vector2l(-265774060, 1518405860), true }, { Vector2l(-266435630, 1518303440), true }, { Vector2l(-266435650, 1518313540), false }, { Vector2l(-266435690, 1518303530), false }, { Vector2l(-266435690, 1518303490), true }, { Vector2l(-265875990, 1518344049), true }, { Vector2l(-265875990, 1518344051), false }, { Vector2l(-266454781, 1518820530), true }, { Vector2l(-266454779, 1518820530), true }, { Vector2l(-266092109, 1518747420), true }, { Vector2l(-266092111, 1518747420), false }, { Vector2l(-266092110, 1518747421), true }, { Vector2l(-266092110, 1518747419), false }, { Vector2l(-266092111, 1518747421), true }, { Vector2l(-266092109, 1518747421), true }, { Vector2l(-266092111, 1518747419), false }, }; TEST(Polygon, obc) { TEST_POLYGON_POINTS(OBC_boundary, OBC_test_points); } static const Vector2f PROX_boundary[] = { Vector2f{938.315063f,388.662872f}, Vector2f{545.622803f,1317.25f}, Vector2f{-833.382812f,2011.96423f}, Vector2f{-2011.96411f,833.382996f}, Vector2f{-875.159241f,-362.502838f}, Vector2f{-153.222916f,-369.912689f}, Vector2f{153.222931f,-369.912689f}, Vector2f{369.91272f,-153.222855f}, // closing point so we can call Polygon_outside(...): Vector2f{938.315063f,388.662872f}, }; static const struct { Vector2f point; bool outside; } PROX_test_points[] = { { Vector2f{0.0f,0.0f}, false }, }; TEST(Polygon, prox) { TEST_POLYGON_POINTS(PROX_boundary, PROX_test_points); } static const Vector2f SIMPLE_boundary[] = { Vector2f{-1,2}, Vector2f{1,2}, Vector2f{1,-3}, Vector2f{-1,-3}, // closing point so we can call Polygon_outside(...): Vector2f{-1,2}, }; static const struct { Vector2f point; bool outside; } SIMPLE_test_points[] = { { Vector2f{0.0f,0.0f}, false }, { Vector2f{0.5f,1.5f}, false }, { Vector2f{-0.5f,1.5f}, false }, { Vector2f{-0.5f,-2.5}, false }, }; TEST(Polygon, simple) { TEST_POLYGON_POINTS(SIMPLE_boundary, SIMPLE_test_points); } AP_GTEST_MAIN() int hal = 0; // bizarrely, this fixes an undefined-symbol error but doesn't raise a type exception. Yay.