2012-08-27 14:11:33 +00:00
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/*
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* Copyright 2012 Google Inc.
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*
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* Use of this source code is governed by a BSD-style license that can be
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* found in the LICENSE file.
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*/
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2012-01-10 21:46:10 +00:00
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#include "CubicIntersection_TestData.h"
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#include <limits>
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const Cubic pointDegenerates[] = {
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{{0, 0}, {0, 0}, {0, 0}, {0, 0}},
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{{1, 1}, {1, 1}, {1, 1}, {1, 1}},
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{{1 + PointEpsilon - std::numeric_limits<double>::epsilon(), 1},
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{1, 1 + PointEpsilon - std::numeric_limits<double>::epsilon()}, {1, 1}, {1, 1}},
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{{1 + PointEpsilon/2 - std::numeric_limits<double>::epsilon(), 1},
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{1 - (PointEpsilon/2 - std::numeric_limits<double>::epsilon()), 1}, {1, 1}, {1, 1}}
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};
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const size_t pointDegenerates_count = sizeof(pointDegenerates) / sizeof(pointDegenerates[0]);
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2012-08-23 18:14:13 +00:00
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2012-01-10 21:46:10 +00:00
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const Cubic notPointDegenerates[] = {
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{{1 + PointEpsilon + std::numeric_limits<double>::epsilon(), 1}, {1, 1 + PointEpsilon}, {1, 1}, {1, 1}},
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{{1 + PointEpsilon/2 + std::numeric_limits<double>::epsilon(), 1}, {1 - PointEpsilon/2, 1}, {1, 1}, {1, 1}}
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};
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const size_t notPointDegenerates_count = sizeof(notPointDegenerates) / sizeof(notPointDegenerates[0]);
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// from http://www.truetex.com/bezint.htm
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const Cubic tests[][2] = {
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{ // intersects in one place (data gives bezier clip fits
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{{0, 45},
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{6.0094158284751593, 51.610357411322688},
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{12.741093228940867, 55.981703949474607},
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{20.021417396476362, 58.652245509710262}},
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{{2.2070737699246674, 52.703494107327209},
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{31.591482272629477, 23.811002295222025},
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{76.824588616426425, 44.049473790502674},
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{119.25488947221436, 55.599248272955073}}
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},
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{ // intersects in three places
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{{0, 45}, {50, 100}, {150, 0}, {200, 55}},
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{{0, 55}, {50, 0}, {150, 100}, {200, 45}}
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},
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{ // intersects in one place, cross over is nearly parallel
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{{0, 0}, {0, 100}, {200, 0}, {200, 100}},
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{{0, 100}, {0, 0}, {200, 100}, {200, 0}}
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},
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{ // intersects in two places
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{{0, 0}, {0, 100}, {200, 100}, {200, 0}},
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{{0, 100}, {0, 0}, {200, 0}, {200, 100}}
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},
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{
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{{150, 100}, {150 + 0.1, 150}, {150, 200}, {150, 250}},
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{{250, 150}, {200, 150 + 0.1}, {150, 150}, {100, 150}}
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},
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{ // single intersection around 168,185
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{{200, 100}, {150, 100}, {150, 150}, {200, 150}},
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{{250, 150}, {250, 100}, {100, 100}, {100, 150}}
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},
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{
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{{1.0, 1.5}, {15.5, 0.5}, {-8.0, 3.5}, {5.0, 1.5}},
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{{4.0, 0.5}, {5.0, 15.0}, {2.0, -8.5}, {4.0, 4.5}}
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},
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{
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{{664.00168, 0}, {726.11545, 124.22757}, {736.89069, 267.89743}, {694.0017, 400.0002}},
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{{850.66843, 115.55563}, {728.515, 115.55563}, {725.21347, 275.15309}, {694.0017, 400.0002}}
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},
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{
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{{1, 1}, {12.5, 6.5}, {-4, 6.5}, {7.5, 1}},
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{{1, 6.5}, {12.5, 1}, {-4, 1}, {.5, 6}}
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},
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{
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{{315.748, 312.84}, {312.644, 318.134}, {305.836, 319.909}, {300.542, 316.804}},
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{{317.122, 309.05}, {316.112, 315.102}, {310.385, 319.19}, {304.332, 318.179}}
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},
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{
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2012-08-23 18:14:13 +00:00
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{{1046.604051, 172.937967}, {1046.604051, 178.9763059}, {1041.76745, 183.9279165}, {1035.703842, 184.0432409}},
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2012-01-10 21:46:10 +00:00
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{{1046.452235, 174.7640504}, {1045.544872, 180.1973817}, {1040.837966, 184.0469882}, {1035.505925, 184.0469882}}
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},
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{
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{{125.79356, 199.57382}, {51.16556, 128.93575}, {87.494, 16.67848}, {167.29361, 16.67848}},
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{{167.29361, 55.81876}, {100.36128, 55.81876}, {68.64099, 145.4755}, {125.7942, 199.57309}}
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}
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};
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const size_t tests_count = sizeof(tests) / sizeof(tests[0]);
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Cubic hexTests[][2] = {
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2012-08-23 18:14:13 +00:00
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{
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2012-01-10 21:46:10 +00:00
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{{0}} // placeholder for hex converted below
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}
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};
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const size_t hexTests_count = sizeof(hexTests) / sizeof(hexTests[0]);
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static const uint64_t testx[2][8] = {
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{
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0xf0d0d1ca63075a40LLU, 0x9408ce996a237740LLU, 0x6d5675460fbe5e40LLU, 0x6ef501e1b7487940LLU,
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0x9a71d2f8143d6540LLU, 0x6bc18bbe02907a40LLU, 0x5b94d92093aa6b40LLU, 0x6ac18bbe02907a40LLU
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},
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{
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0x92c56ed7b6145d40LLU, 0xede4f1255edb7740LLU, 0x1138c1101af75940LLU, 0x42e4f1255edb7740LLU,
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2012-08-23 18:14:13 +00:00
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0x408e51603ad95640LLU, 0x1e2e8fe9dd927740LLU, 0x1cb4777cd3a75440LLU, 0x212e1390de017740LLU
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2012-01-10 21:46:10 +00:00
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}
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};
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void convert_testx() {
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const uint64_t* inPtr = testx[0];
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double* outPtr = &hexTests[sizeof(tests) / sizeof(tests[0]) - 1][0][0].x;
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for (unsigned index = 0; index < sizeof(testx) / sizeof(testx[0][0]); ++index) {
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uint64_t input = *inPtr++;
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unsigned char* output = (unsigned char*) outPtr++;
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for (unsigned byte = 0; byte < sizeof(input); ++byte) {
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output[byte] = input >> (7 - byte) * 8;
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}
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}
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}
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const Cubic lines[] = {
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{{0, 0}, {0, 0}, {0, 0}, {1, 0}}, // 0: horizontal
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{{0, 0}, {0, 0}, {1, 0}, {0, 0}},
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{{0, 0}, {1, 0}, {0, 0}, {0, 0}},
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{{1, 0}, {0, 0}, {0, 0}, {0, 0}},
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{{1, 0}, {2, 0}, {3, 0}, {4, 0}},
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{{0, 0}, {0, 0}, {0, 0}, {0, 1}}, // 5: vertical
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{{0, 0}, {0, 0}, {0, 1}, {0, 0}},
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{{0, 0}, {0, 1}, {0, 0}, {0, 0}},
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{{0, 1}, {0, 0}, {0, 0}, {0, 0}},
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{{0, 1}, {0, 2}, {0, 3}, {0, 4}},
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{{0, 0}, {0, 0}, {0, 0}, {1, 1}}, // 10: 3 coincident
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{{0, 0}, {0, 0}, {1, 1}, {0, 0}},
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{{0, 0}, {1, 1}, {0, 0}, {0, 0}},
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{{1, 1}, {0, 0}, {0, 0}, {0, 0}},
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{{0, 0}, {0, 0}, {1, 1}, {2, 2}}, // 14: 2 coincident
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{{0, 0}, {1, 1}, {0, 0}, {2, 2}},
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{{0, 0}, {1, 1}, {2, 2}, {0, 0}},
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{{1, 1}, {0, 0}, {0, 0}, {2, 2}}, // 17:
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{{1, 1}, {0, 0}, {2, 2}, {0, 0}},
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{{1, 1}, {2, 2}, {0, 0}, {0, 0}},
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{{1, 1}, {2, 2}, {3, 3}, {2, 2}}, // middle-last coincident
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{{1, 1}, {2, 2}, {3, 3}, {3, 3}}, // middle-last coincident
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{{1, 1}, {1, 1}, {2, 2}, {2, 2}}, // 2 pairs coincident
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{{1, 1}, {2, 2}, {1, 1}, {2, 2}},
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{{1, 1}, {2, 2}, {2, 2}, {1, 1}},
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{{1, 1}, {1, 1}, {3, 3}, {3, 3}}, // first-middle middle-last coincident
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{{1, 1}, {2, 2}, {3, 3}, {4, 4}}, // no coincident
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{{1, 1}, {3, 3}, {2, 2}, {4, 4}},
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{{1, 1}, {2, 2}, {4, 4}, {3, 3}},
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{{1, 1}, {3, 3}, {4, 4}, {2, 2}},
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{{1, 1}, {4, 4}, {2, 2}, {3, 3}},
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{{1, 1}, {4, 4}, {3, 3}, {2, 2}},
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{{2, 2}, {1, 1}, {3, 3}, {4, 4}},
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{{2, 2}, {1, 1}, {4, 4}, {3, 3}},
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{{2, 2}, {3, 3}, {1, 1}, {4, 4}},
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{{2, 2}, {3, 3}, {4, 4}, {1, 1}},
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{{2, 2}, {4, 4}, {1, 1}, {3, 3}},
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{{2, 2}, {4, 4}, {3, 3}, {1, 1}},
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};
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const size_t lines_count = sizeof(lines) / sizeof(lines[0]);
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// 'not a line' tries to fool the line detection code
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const Cubic notLines[] = {
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{{0, 0}, {0, 0}, {0, 1}, {1, 0}},
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{{0, 0}, {0, 1}, {0, 0}, {1, 0}},
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{{0, 0}, {0, 1}, {1, 0}, {0, 0}},
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{{0, 1}, {0, 0}, {0, 0}, {1, 0}},
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{{0, 1}, {0, 0}, {1, 0}, {0, 0}},
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{{0, 1}, {1, 0}, {0, 0}, {0, 0}},
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};
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const size_t notLines_count = sizeof(notLines) / sizeof(notLines[0]);
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static const double E = PointEpsilon * 2;
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static const double F = PointEpsilon * 3;
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const Cubic modEpsilonLines[] = {
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{{0, E}, {0, 0}, {0, 0}, {1, 0}}, // horizontal
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{{0, 0}, {0, E}, {1, 0}, {0, 0}},
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{{0, 0}, {1, 0}, {0, E}, {0, 0}},
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{{1, 0}, {0, 0}, {0, 0}, {0, E}},
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{{1, E}, {2, 0}, {3, 0}, {4, 0}},
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{{E, 0}, {0, 0}, {0, 0}, {0, 1}}, // vertical
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{{0, 0}, {E, 0}, {0, 1}, {0, 0}},
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{{0, 0}, {0, 1}, {E, 0}, {0, 0}},
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{{0, 1}, {0, 0}, {0, 0}, {E, 0}},
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{{E, 1}, {0, 2}, {0, 3}, {0, 4}},
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{{E, 0}, {0, 0}, {0, 0}, {1, 1}}, // 3 coincident
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{{0, 0}, {E, 0}, {1, 1}, {0, 0}},
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{{0, 0}, {1, 1}, {E, 0}, {0, 0}},
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{{1, 1}, {0, 0}, {0, 0}, {E, 0}},
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{{0, E}, {0, 0}, {1, 1}, {2, 2}}, // 2 coincident
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{{0, 0}, {1, 1}, {0, E}, {2, 2}},
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{{0, 0}, {1, 1}, {2, 2}, {0, E}},
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{{1, 1}, {0, E}, {0, 0}, {2, 2}},
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{{1, 1}, {0, E}, {2, 2}, {0, 0}},
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{{1, 1}, {2, 2}, {E, 0}, {0, 0}},
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{{1, 1}, {2, 2+E}, {3, 3}, {2, 2}}, // middle-last coincident
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{{1, 1}, {2+E, 2}, {3, 3}, {3, 3}}, // middle-last coincident
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{{1, 1}, {1, 1}, {2, 2}, {2+E, 2}}, // 2 pairs coincident
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{{1, 1}, {2, 2}, {1, 1}, {2+E, 2}},
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{{1, 1}, {2, 2}, {2, 2+E}, {1, 1}},
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{{1, 1}, {1, 1+E}, {3, 3}, {3, 3}}, // first-middle middle-last coincident
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{{1, 1}, {2+E, 2}, {3, 3}, {4, 4}}, // no coincident
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{{1, 1}, {3, 3}, {2, 2}, {4, 4+F}}, // INVESTIGATE: why the epsilon is bigger
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{{1, 1+F}, {2, 2}, {4, 4}, {3, 3}}, // INVESTIGATE: why the epsilon is bigger
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{{1, 1}, {3, 3}, {4, 4+E}, {2, 2}},
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{{1, 1}, {4, 4}, {2, 2}, {3, 3+E}},
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{{1, 1}, {4, 4}, {3, 3}, {2+E, 2}},
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{{2, 2}, {1, 1}, {3+E, 3}, {4, 4}},
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{{2, 2}, {1+E, 1}, {4, 4}, {3, 3}},
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{{2, 2+E}, {3, 3}, {1, 1}, {4, 4}},
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{{2+E, 2}, {3, 3}, {4, 4}, {1, 1}},
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{{2, 2}, {4+E, 4}, {1, 1}, {3, 3}},
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{{2, 2}, {4, 4}, {3, 3}, {1, 1+E}},
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};
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const size_t modEpsilonLines_count = sizeof(modEpsilonLines) / sizeof(modEpsilonLines[0]);
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static const double D = PointEpsilon / 2;
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static const double G = PointEpsilon / 3;
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const Cubic lessEpsilonLines[] = {
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{{0, D}, {0, 0}, {0, 0}, {1, 0}}, // horizontal
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{{0, 0}, {0, D}, {1, 0}, {0, 0}},
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{{0, 0}, {1, 0}, {0, D}, {0, 0}},
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{{1, 0}, {0, 0}, {0, 0}, {0, D}},
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{{1, D}, {2, 0}, {3, 0}, {4, 0}},
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{{D, 0}, {0, 0}, {0, 0}, {0, 1}}, // vertical
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{{0, 0}, {D, 0}, {0, 1}, {0, 0}},
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{{0, 0}, {0, 1}, {D, 0}, {0, 0}},
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{{0, 1}, {0, 0}, {0, 0}, {D, 0}},
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{{D, 1}, {0, 2}, {0, 3}, {0, 4}},
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{{D, 0}, {0, 0}, {0, 0}, {1, 1}}, // 3 coincident
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{{0, 0}, {D, 0}, {1, 1}, {0, 0}},
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{{0, 0}, {1, 1}, {D, 0}, {0, 0}},
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{{1, 1}, {0, 0}, {0, 0}, {D, 0}},
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{{0, D}, {0, 0}, {1, 1}, {2, 2}}, // 2 coincident
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{{0, 0}, {1, 1}, {0, D}, {2, 2}},
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{{0, 0}, {1, 1}, {2, 2}, {0, D}},
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{{1, 1}, {0, D}, {0, 0}, {2, 2}},
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{{1, 1}, {0, D}, {2, 2}, {0, 0}},
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{{1, 1}, {2, 2}, {D, 0}, {0, 0}},
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{{1, 1}, {2, 2+D}, {3, 3}, {2, 2}}, // middle-last coincident
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{{1, 1}, {2+D, 2}, {3, 3}, {3, 3}}, // middle-last coincident
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{{1, 1}, {1, 1}, {2, 2}, {2+D, 2}}, // 2 pairs coincident
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{{1, 1}, {2, 2}, {1, 1}, {2+D, 2}},
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{{1, 1}, {2, 2}, {2, 2+D}, {1, 1}},
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{{1, 1}, {1, 1+D}, {3, 3}, {3, 3}}, // first-middle middle-last coincident
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{{1, 1}, {2+D/2, 2}, {3, 3}, {4, 4}}, // no coincident (FIXME: N as opposed to N/2 failed)
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{{1, 1}, {3, 3}, {2, 2}, {4, 4+D}},
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{{1, 1+D}, {2, 2}, {4, 4}, {3, 3}},
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{{1, 1}, {3, 3}, {4, 4+D}, {2, 2}},
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{{1, 1}, {4, 4}, {2, 2}, {3, 3+D}},
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{{1, 1}, {4, 4}, {3, 3}, {2+G, 2}}, // INVESTIGATE: why the epsilon is smaller
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{{2, 2}, {1, 1}, {3+D, 3}, {4, 4}},
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{{2, 2}, {1+D, 1}, {4, 4}, {3, 3}},
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{{2, 2+D}, {3, 3}, {1, 1}, {4, 4}},
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{{2+G, 2}, {3, 3}, {4, 4}, {1, 1}}, // INVESTIGATE: why the epsilon is smaller
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{{2, 2}, {4+D, 4}, {1, 1}, {3, 3}},
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{{2, 2}, {4, 4}, {3, 3}, {1, 1+D}},
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};
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const size_t lessEpsilonLines_count = sizeof(lessEpsilonLines) / sizeof(lessEpsilonLines[0]);
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static const double N = -PointEpsilon / 2;
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static const double M = -PointEpsilon / 3;
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const Cubic negEpsilonLines[] = {
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{{0, N}, {0, 0}, {0, 0}, {1, 0}}, // horizontal
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{{0, 0}, {0, N}, {1, 0}, {0, 0}},
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{{0, 0}, {1, 0}, {0, N}, {0, 0}},
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{{1, 0}, {0, 0}, {0, 0}, {0, N}},
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{{1, N}, {2, 0}, {3, 0}, {4, 0}},
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{{N, 0}, {0, 0}, {0, 0}, {0, 1}}, // vertical
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{{0, 0}, {N, 0}, {0, 1}, {0, 0}},
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{{0, 0}, {0, 1}, {N, 0}, {0, 0}},
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{{0, 1}, {0, 0}, {0, 0}, {N, 0}},
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{{N, 1}, {0, 2}, {0, 3}, {0, 4}},
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{{N, 0}, {0, 0}, {0, 0}, {1, 1}}, // 3 coincident
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{{0, 0}, {N, 0}, {1, 1}, {0, 0}},
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{{0, 0}, {1, 1}, {N, 0}, {0, 0}},
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{{1, 1}, {0, 0}, {0, 0}, {N, 0}},
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{{0, N}, {0, 0}, {1, 1}, {2, 2}}, // 2 coincident
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{{0, 0}, {1, 1}, {0, N}, {2, 2}},
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{{0, 0}, {1, 1}, {2, 2}, {0, N}},
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{{1, 1}, {0, N}, {0, 0}, {2, 2}},
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{{1, 1}, {0, N}, {2, 2}, {0, 0}},
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{{1, 1}, {2, 2}, {N, 0}, {0, 0}},
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{{1, 1}, {2, 2+N}, {3, 3}, {2, 2}}, // middle-last coincident
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{{1, 1}, {2+N, 2}, {3, 3}, {3, 3}}, // middle-last coincident
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{{1, 1}, {1, 1}, {2, 2}, {2+N, 2}}, // 2 pairs coincident
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{{1, 1}, {2, 2}, {1, 1}, {2+N, 2}},
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{{1, 1}, {2, 2}, {2, 2+N}, {1, 1}},
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{{1, 1}, {1, 1+N}, {3, 3}, {3, 3}}, // first-middle middle-last coincident
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{{1, 1}, {2+N/2, 2}, {3, 3}, {4, 4}}, // no coincident (FIXME: N as opposed to N/2 failed)
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{{1, 1}, {3, 3}, {2, 2}, {4, 4+N}},
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{{1, 1+N}, {2, 2}, {4, 4}, {3, 3}},
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{{1, 1}, {3, 3}, {4, 4+N}, {2, 2}},
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{{1, 1}, {4, 4}, {2, 2}, {3, 3+N}},
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{{1, 1}, {4, 4}, {3, 3}, {2+M, 2}}, // INVESTIGATE: why the epsilon is smaller
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{{2, 2}, {1, 1}, {3+N, 3}, {4, 4}},
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{{2, 2}, {1+N, 1}, {4, 4}, {3, 3}},
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{{2, 2+N}, {3, 3}, {1, 1}, {4, 4}},
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{{2+M, 2}, {3, 3}, {4, 4}, {1, 1}}, // INVESTIGATE: why the epsilon is smaller
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{{2, 2}, {4+N, 4}, {1, 1}, {3, 3}},
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{{2, 2}, {4, 4}, {3, 3}, {1, 1+N}},
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};
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const size_t negEpsilonLines_count = sizeof(negEpsilonLines) / sizeof(negEpsilonLines[0]);
|
