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 /* * Copyright 2012 Google Inc. * * Use of this source code is governed by a BSD-style license that can be * found in the LICENSE file. */ #include "CubicIntersection_TestData.h" #include const Cubic pointDegenerates[] = { {{0, 0}, {0, 0}, {0, 0}, {0, 0}}, {{1, 1}, {1, 1}, {1, 1}, {1, 1}}, {{1 + PointEpsilon - std::numeric_limits::epsilon(), 1}, {1, 1 + PointEpsilon - std::numeric_limits::epsilon()}, {1, 1}, {1, 1}}, {{1 + PointEpsilon/2 - std::numeric_limits::epsilon(), 1}, {1 - (PointEpsilon/2 - std::numeric_limits::epsilon()), 1}, {1, 1}, {1, 1}} }; const size_t pointDegenerates_count = sizeof(pointDegenerates) / sizeof(pointDegenerates[0]); const Cubic notPointDegenerates[] = { {{1 + PointEpsilon + std::numeric_limits::epsilon(), 1}, {1, 1 + PointEpsilon}, {1, 1}, {1, 1}}, {{1 + PointEpsilon/2 + std::numeric_limits::epsilon(), 1}, {1 - PointEpsilon/2, 1}, {1, 1}, {1, 1}} }; const size_t notPointDegenerates_count = sizeof(notPointDegenerates) / sizeof(notPointDegenerates[0]); // from http://www.truetex.com/bezint.htm const Cubic tests[][2] = { { // intersects in one place (data gives bezier clip fits {{0, 45}, {6.0094158284751593, 51.610357411322688}, {12.741093228940867, 55.981703949474607}, {20.021417396476362, 58.652245509710262}}, {{2.2070737699246674, 52.703494107327209}, {31.591482272629477, 23.811002295222025}, {76.824588616426425, 44.049473790502674}, {119.25488947221436, 55.599248272955073}} }, { // intersects in three places {{0, 45}, {50, 100}, {150, 0}, {200, 55}}, {{0, 55}, {50, 0}, {150, 100}, {200, 45}} }, { // intersects in one place, cross over is nearly parallel {{0, 0}, {0, 100}, {200, 0}, {200, 100}}, {{0, 100}, {0, 0}, {200, 100}, {200, 0}} }, { // intersects in two places {{0, 0}, {0, 100}, {200, 100}, {200, 0}}, {{0, 100}, {0, 0}, {200, 0}, {200, 100}} }, { {{150, 100}, {150 + 0.1, 150}, {150, 200}, {150, 250}}, {{250, 150}, {200, 150 + 0.1}, {150, 150}, {100, 150}} }, { // single intersection around 168,185 {{200, 100}, {150, 100}, {150, 150}, {200, 150}}, {{250, 150}, {250, 100}, {100, 100}, {100, 150}} }, { {{1.0, 1.5}, {15.5, 0.5}, {-8.0, 3.5}, {5.0, 1.5}}, {{4.0, 0.5}, {5.0, 15.0}, {2.0, -8.5}, {4.0, 4.5}} }, { {{664.00168, 0}, {726.11545, 124.22757}, {736.89069, 267.89743}, {694.0017, 400.0002}}, {{850.66843, 115.55563}, {728.515, 115.55563}, {725.21347, 275.15309}, {694.0017, 400.0002}} }, { {{1, 1}, {12.5, 6.5}, {-4, 6.5}, {7.5, 1}}, {{1, 6.5}, {12.5, 1}, {-4, 1}, {.5, 6}} }, { {{315.748, 312.84}, {312.644, 318.134}, {305.836, 319.909}, {300.542, 316.804}}, {{317.122, 309.05}, {316.112, 315.102}, {310.385, 319.19}, {304.332, 318.179}} }, { {{1046.604051, 172.937967}, {1046.604051, 178.9763059}, {1041.76745, 183.9279165}, {1035.703842, 184.0432409}}, {{1046.452235, 174.7640504}, {1045.544872, 180.1973817}, {1040.837966, 184.0469882}, {1035.505925, 184.0469882}} }, { {{125.79356, 199.57382}, {51.16556, 128.93575}, {87.494, 16.67848}, {167.29361, 16.67848}}, {{167.29361, 55.81876}, {100.36128, 55.81876}, {68.64099, 145.4755}, {125.7942, 199.57309}} } }; const size_t tests_count = sizeof(tests) / sizeof(tests[0]); Cubic hexTests[][2] = { { {{0}} // placeholder for hex converted below } }; const size_t hexTests_count = sizeof(hexTests) / sizeof(hexTests[0]); static const uint64_t testx[2][8] = { { 0xf0d0d1ca63075a40LLU, 0x9408ce996a237740LLU, 0x6d5675460fbe5e40LLU, 0x6ef501e1b7487940LLU, 0x9a71d2f8143d6540LLU, 0x6bc18bbe02907a40LLU, 0x5b94d92093aa6b40LLU, 0x6ac18bbe02907a40LLU }, { 0x92c56ed7b6145d40LLU, 0xede4f1255edb7740LLU, 0x1138c1101af75940LLU, 0x42e4f1255edb7740LLU, 0x408e51603ad95640LLU, 0x1e2e8fe9dd927740LLU, 0x1cb4777cd3a75440LLU, 0x212e1390de017740LLU } }; void convert_testx() { const uint64_t* inPtr = testx[0]; double* outPtr = &hexTests[sizeof(tests) / sizeof(tests[0]) - 1][0][0].x; for (unsigned index = 0; index < sizeof(testx) / sizeof(testx[0][0]); ++index) { uint64_t input = *inPtr++; unsigned char* output = (unsigned char*) outPtr++; for (unsigned byte = 0; byte < sizeof(input); ++byte) { output[byte] = input >> (7 - byte) * 8; } } } const Cubic lines[] = { {{0, 0}, {0, 0}, {0, 0}, {1, 0}}, // 0: horizontal {{0, 0}, {0, 0}, {1, 0}, {0, 0}}, {{0, 0}, {1, 0}, {0, 0}, {0, 0}}, {{1, 0}, {0, 0}, {0, 0}, {0, 0}}, {{1, 0}, {2, 0}, {3, 0}, {4, 0}}, {{0, 0}, {0, 0}, {0, 0}, {0, 1}}, // 5: vertical {{0, 0}, {0, 0}, {0, 1}, {0, 0}}, {{0, 0}, {0, 1}, {0, 0}, {0, 0}}, {{0, 1}, {0, 0}, {0, 0}, {0, 0}}, {{0, 1}, {0, 2}, {0, 3}, {0, 4}}, {{0, 0}, {0, 0}, {0, 0}, {1, 1}}, // 10: 3 coincident {{0, 0}, {0, 0}, {1, 1}, {0, 0}}, {{0, 0}, {1, 1}, {0, 0}, {0, 0}}, {{1, 1}, {0, 0}, {0, 0}, {0, 0}}, {{0, 0}, {0, 0}, {1, 1}, {2, 2}}, // 14: 2 coincident {{0, 0}, {1, 1}, {0, 0}, {2, 2}}, {{0, 0}, {1, 1}, {2, 2}, {0, 0}}, {{1, 1}, {0, 0}, {0, 0}, {2, 2}}, // 17: {{1, 1}, {0, 0}, {2, 2}, {0, 0}}, {{1, 1}, {2, 2}, {0, 0}, {0, 0}}, {{1, 1}, {2, 2}, {3, 3}, {2, 2}}, // middle-last coincident {{1, 1}, {2, 2}, {3, 3}, {3, 3}}, // middle-last coincident {{1, 1}, {1, 1}, {2, 2}, {2, 2}}, // 2 pairs coincident {{1, 1}, {2, 2}, {1, 1}, {2, 2}}, {{1, 1}, {2, 2}, {2, 2}, {1, 1}}, {{1, 1}, {1, 1}, {3, 3}, {3, 3}}, // first-middle middle-last coincident {{1, 1}, {2, 2}, {3, 3}, {4, 4}}, // no coincident {{1, 1}, {3, 3}, {2, 2}, {4, 4}}, {{1, 1}, {2, 2}, {4, 4}, {3, 3}}, {{1, 1}, {3, 3}, {4, 4}, {2, 2}}, {{1, 1}, {4, 4}, {2, 2}, {3, 3}}, {{1, 1}, {4, 4}, {3, 3}, {2, 2}}, {{2, 2}, {1, 1}, {3, 3}, {4, 4}}, {{2, 2}, {1, 1}, {4, 4}, {3, 3}}, {{2, 2}, {3, 3}, {1, 1}, {4, 4}}, {{2, 2}, {3, 3}, {4, 4}, {1, 1}}, {{2, 2}, {4, 4}, {1, 1}, {3, 3}}, {{2, 2}, {4, 4}, {3, 3}, {1, 1}}, }; const size_t lines_count = sizeof(lines) / sizeof(lines[0]); // 'not a line' tries to fool the line detection code const Cubic notLines[] = { {{0, 0}, {0, 0}, {0, 1}, {1, 0}}, {{0, 0}, {0, 1}, {0, 0}, {1, 0}}, {{0, 0}, {0, 1}, {1, 0}, {0, 0}}, {{0, 1}, {0, 0}, {0, 0}, {1, 0}}, {{0, 1}, {0, 0}, {1, 0}, {0, 0}}, {{0, 1}, {1, 0}, {0, 0}, {0, 0}}, }; const size_t notLines_count = sizeof(notLines) / sizeof(notLines[0]); static const double E = PointEpsilon * 2; static const double F = PointEpsilon * 3; const Cubic modEpsilonLines[] = { {{0, E}, {0, 0}, {0, 0}, {1, 0}}, // horizontal {{0, 0}, {0, E}, {1, 0}, {0, 0}}, {{0, 0}, {1, 0}, {0, E}, {0, 0}}, {{1, 0}, {0, 0}, {0, 0}, {0, E}}, {{1, E}, {2, 0}, {3, 0}, {4, 0}}, {{E, 0}, {0, 0}, {0, 0}, {0, 1}}, // vertical {{0, 0}, {E, 0}, {0, 1}, {0, 0}}, {{0, 0}, {0, 1}, {E, 0}, {0, 0}}, {{0, 1}, {0, 0}, {0, 0}, {E, 0}}, {{E, 1}, {0, 2}, {0, 3}, {0, 4}}, {{E, 0}, {0, 0}, {0, 0}, {1, 1}}, // 3 coincident {{0, 0}, {E, 0}, {1, 1}, {0, 0}}, {{0, 0}, {1, 1}, {E, 0}, {0, 0}}, {{1, 1}, {0, 0}, {0, 0}, {E, 0}}, {{0, E}, {0, 0}, {1, 1}, {2, 2}}, // 2 coincident {{0, 0}, {1, 1}, {0, E}, {2, 2}}, {{0, 0}, {1, 1}, {2, 2}, {0, E}}, {{1, 1}, {0, E}, {0, 0}, {2, 2}}, {{1, 1}, {0, E}, {2, 2}, {0, 0}}, {{1, 1}, {2, 2}, {E, 0}, {0, 0}}, {{1, 1}, {2, 2+E}, {3, 3}, {2, 2}}, // middle-last coincident {{1, 1}, {2+E, 2}, {3, 3}, {3, 3}}, // middle-last coincident {{1, 1}, {1, 1}, {2, 2}, {2+E, 2}}, // 2 pairs coincident {{1, 1}, {2, 2}, {1, 1}, {2+E, 2}}, {{1, 1}, {2, 2}, {2, 2+E}, {1, 1}}, {{1, 1}, {1, 1+E}, {3, 3}, {3, 3}}, // first-middle middle-last coincident {{1, 1}, {2+E, 2}, {3, 3}, {4, 4}}, // no coincident {{1, 1}, {3, 3}, {2, 2}, {4, 4+F}}, // INVESTIGATE: why the epsilon is bigger {{1, 1+F}, {2, 2}, {4, 4}, {3, 3}}, // INVESTIGATE: why the epsilon is bigger {{1, 1}, {3, 3}, {4, 4+E}, {2, 2}}, {{1, 1}, {4, 4}, {2, 2}, {3, 3+E}}, {{1, 1}, {4, 4}, {3, 3}, {2+E, 2}}, {{2, 2}, {1, 1}, {3+E, 3}, {4, 4}}, {{2, 2}, {1+E, 1}, {4, 4}, {3, 3}}, {{2, 2+E}, {3, 3}, {1, 1}, {4, 4}}, {{2+E, 2}, {3, 3}, {4, 4}, {1, 1}}, {{2, 2}, {4+E, 4}, {1, 1}, {3, 3}}, {{2, 2}, {4, 4}, {3, 3}, {1, 1+E}}, }; const size_t modEpsilonLines_count = sizeof(modEpsilonLines) / sizeof(modEpsilonLines[0]); static const double D = PointEpsilon / 2; static const double G = PointEpsilon / 3; const Cubic lessEpsilonLines[] = { {{0, D}, {0, 0}, {0, 0}, {1, 0}}, // horizontal {{0, 0}, {0, D}, {1, 0}, {0, 0}}, {{0, 0}, {1, 0}, {0, D}, {0, 0}}, {{1, 0}, {0, 0}, {0, 0}, {0, D}}, {{1, D}, {2, 0}, {3, 0}, {4, 0}}, {{D, 0}, {0, 0}, {0, 0}, {0, 1}}, // vertical {{0, 0}, {D, 0}, {0, 1}, {0, 0}}, {{0, 0}, {0, 1}, {D, 0}, {0, 0}}, {{0, 1}, {0, 0}, {0, 0}, {D, 0}}, {{D, 1}, {0, 2}, {0, 3}, {0, 4}}, {{D, 0}, {0, 0}, {0, 0}, {1, 1}}, // 3 coincident {{0, 0}, {D, 0}, {1, 1}, {0, 0}}, {{0, 0}, {1, 1}, {D, 0}, {0, 0}}, {{1, 1}, {0, 0}, {0, 0}, {D, 0}}, {{0, D}, {0, 0}, {1, 1}, {2, 2}}, // 2 coincident {{0, 0}, {1, 1}, {0, D}, {2, 2}}, {{0, 0}, {1, 1}, {2, 2}, {0, D}}, {{1, 1}, {0, D}, {0, 0}, {2, 2}}, {{1, 1}, {0, D}, {2, 2}, {0, 0}}, {{1, 1}, {2, 2}, {D, 0}, {0, 0}}, {{1, 1}, {2, 2+D}, {3, 3}, {2, 2}}, // middle-last coincident {{1, 1}, {2+D, 2}, {3, 3}, {3, 3}}, // middle-last coincident {{1, 1}, {1, 1}, {2, 2}, {2+D, 2}}, // 2 pairs coincident {{1, 1}, {2, 2}, {1, 1}, {2+D, 2}}, {{1, 1}, {2, 2}, {2, 2+D}, {1, 1}}, {{1, 1}, {1, 1+D}, {3, 3}, {3, 3}}, // first-middle middle-last coincident {{1, 1}, {2+D/2, 2}, {3, 3}, {4, 4}}, // no coincident (FIXME: N as opposed to N/2 failed) {{1, 1}, {3, 3}, {2, 2}, {4, 4+D}}, {{1, 1+D}, {2, 2}, {4, 4}, {3, 3}}, {{1, 1}, {3, 3}, {4, 4+D}, {2, 2}}, {{1, 1}, {4, 4}, {2, 2}, {3, 3+D}}, {{1, 1}, {4, 4}, {3, 3}, {2+G, 2}}, // INVESTIGATE: why the epsilon is smaller {{2, 2}, {1, 1}, {3+D, 3}, {4, 4}}, {{2, 2}, {1+D, 1}, {4, 4}, {3, 3}}, {{2, 2+D}, {3, 3}, {1, 1}, {4, 4}}, {{2+G, 2}, {3, 3}, {4, 4}, {1, 1}}, // INVESTIGATE: why the epsilon is smaller {{2, 2}, {4+D, 4}, {1, 1}, {3, 3}}, {{2, 2}, {4, 4}, {3, 3}, {1, 1+D}}, }; const size_t lessEpsilonLines_count = sizeof(lessEpsilonLines) / sizeof(lessEpsilonLines[0]); static const double N = -PointEpsilon / 2; static const double M = -PointEpsilon / 3; const Cubic negEpsilonLines[] = { {{0, N}, {0, 0}, {0, 0}, {1, 0}}, // horizontal {{0, 0}, {0, N}, {1, 0}, {0, 0}}, {{0, 0}, {1, 0}, {0, N}, {0, 0}}, {{1, 0}, {0, 0}, {0, 0}, {0, N}}, {{1, N}, {2, 0}, {3, 0}, {4, 0}}, {{N, 0}, {0, 0}, {0, 0}, {0, 1}}, // vertical {{0, 0}, {N, 0}, {0, 1}, {0, 0}}, {{0, 0}, {0, 1}, {N, 0}, {0, 0}}, {{0, 1}, {0, 0}, {0, 0}, {N, 0}}, {{N, 1}, {0, 2}, {0, 3}, {0, 4}}, {{N, 0}, {0, 0}, {0, 0}, {1, 1}}, // 3 coincident {{0, 0}, {N, 0}, {1, 1}, {0, 0}}, {{0, 0}, {1, 1}, {N, 0}, {0, 0}}, {{1, 1}, {0, 0}, {0, 0}, {N, 0}}, {{0, N}, {0, 0}, {1, 1}, {2, 2}}, // 2 coincident {{0, 0}, {1, 1}, {0, N}, {2, 2}}, {{0, 0}, {1, 1}, {2, 2}, {0, N}}, {{1, 1}, {0, N}, {0, 0}, {2, 2}}, {{1, 1}, {0, N}, {2, 2}, {0, 0}}, {{1, 1}, {2, 2}, {N, 0}, {0, 0}}, {{1, 1}, {2, 2+N}, {3, 3}, {2, 2}}, // middle-last coincident {{1, 1}, {2+N, 2}, {3, 3}, {3, 3}}, // middle-last coincident {{1, 1}, {1, 1}, {2, 2}, {2+N, 2}}, // 2 pairs coincident {{1, 1}, {2, 2}, {1, 1}, {2+N, 2}}, {{1, 1}, {2, 2}, {2, 2+N}, {1, 1}}, {{1, 1}, {1, 1+N}, {3, 3}, {3, 3}}, // first-middle middle-last coincident {{1, 1}, {2+N/2, 2}, {3, 3}, {4, 4}}, // no coincident (FIXME: N as opposed to N/2 failed) {{1, 1}, {3, 3}, {2, 2}, {4, 4+N}}, {{1, 1+N}, {2, 2}, {4, 4}, {3, 3}}, {{1, 1}, {3, 3}, {4, 4+N}, {2, 2}}, {{1, 1}, {4, 4}, {2, 2}, {3, 3+N}}, {{1, 1}, {4, 4}, {3, 3}, {2+M, 2}}, // INVESTIGATE: why the epsilon is smaller {{2, 2}, {1, 1}, {3+N, 3}, {4, 4}}, {{2, 2}, {1+N, 1}, {4, 4}, {3, 3}}, {{2, 2+N}, {3, 3}, {1, 1}, {4, 4}}, {{2+M, 2}, {3, 3}, {4, 4}, {1, 1}}, // INVESTIGATE: why the epsilon is smaller {{2, 2}, {4+N, 4}, {1, 1}, {3, 3}}, {{2, 2}, {4, 4}, {3, 3}, {1, 1+N}}, }; const size_t negEpsilonLines_count = sizeof(negEpsilonLines) / sizeof(negEpsilonLines[0]);