1/* 2 * Copyright 2012 Google Inc. 3 * 4 * Use of this source code is governed by a BSD-style license that can be 5 * found in the LICENSE file. 6 */ 7 8#include "PathOpsCubicIntersectionTestData.h" 9 10#include <limits> 11 12static const double D = FLT_EPSILON / 2; 13static const double G = FLT_EPSILON / 3; 14static const double N = -FLT_EPSILON / 2; 15static const double M = -FLT_EPSILON / 3; 16 17const SkDCubic pointDegenerates[] = { 18 {{{0, 0}, {0, 0}, {0, 0}, {0, 0}}}, 19 {{{1, 1}, {1, 1}, {1, 1}, {1, 1}}}, 20 {{{1 + FLT_EPSILON_HALF, 1}, {1, 1 + FLT_EPSILON_HALF}, {1, 1}, {1, 1}}}, 21 {{{1 + D, 1}, {1 - D, 1}, {1, 1}, {1, 1}}}, 22 {{{0, 0}, {0, 0}, {1, 0}, {0, 0}}}, 23 {{{0, 0}, {1, 0}, {0, 0}, {0, 0}}}, 24 {{{0, 0}, {0, 0}, {0, 1}, {0, 0}}}, 25 {{{0, 0}, {0, 1}, {0, 0}, {0, 0}}}, 26 {{{0, 0}, {0, 0}, {1, 1}, {0, 0}}}, 27 {{{0, 0}, {1, 1}, {0, 0}, {0, 0}}}, 28 {{{0, 0}, {1, 1}, {2, 2}, {0, 0}}}, 29 {{{1, 1}, {2, 2}, {2, 2}, {1, 1}}}, 30 {{{0, 0}, {0, D}, {1, 0}, {0, 0}}}, 31 {{{0, 0}, {1, 0}, {0, D}, {0, 0}}}, 32 {{{0, 0}, {D, 0}, {0, 1}, {0, 0}}}, 33 {{{0, 0}, {0, 1}, {D, 0}, {0, 0}}}, 34 {{{1, 1}, {2, 2}, {2, 2+D}, {1, 1}}}, 35 {{{0, 0}, {0, N}, {1, 0}, {0, 0}}}, 36 {{{0, 0}, {1, 0}, {0, N}, {0, 0}}}, 37 {{{0, 0}, {N, 0}, {0, 1}, {0, 0}}}, 38 {{{0, 0}, {0, 1}, {N, 0}, {0, 0}}}, 39 {{{0, 0}, {1, 1}, {N, 0}, {0, 0}}}, 40 {{{0, 0}, {D, 0}, {1, 1}, {0, 0}}}, 41 {{{0, 0}, {1, 1}, {D, 0}, {0, 0}}}, 42 {{{0, 0}, {N, 0}, {1, 1}, {0, 0}}}, 43 {{{1, 1}, {2, 2}, {2, 2+N}, {1, 1}}}, 44}; 45 46const size_t pointDegenerates_count = SK_ARRAY_COUNT(pointDegenerates); 47 48const SkDCubic notPointDegenerates[] = { 49 {{{1 + FLT_EPSILON * 2, 1}, {1, FLT_EPSILON * 2}, {1, 1}, {1, 1}}}, 50 {{{1 + FLT_EPSILON * 2, 1}, {1 - FLT_EPSILON * 2, 1}, {1, 1}, {1, 1}}} 51}; 52 53const size_t notPointDegenerates_count = 54 SK_ARRAY_COUNT(notPointDegenerates); 55 56// from http://www.truetex.com/bezint.htm 57const SkDCubic tests[][2] = { 58 { // intersects in one place (data gives bezier clip fits 59 {{{0, 45}, 60 {6.0094158284751593, 51.610357411322688}, 61 {12.741093228940867, 55.981703949474607}, 62 {20.021417396476362, 58.652245509710262}}}, 63 {{{2.2070737699246674, 52.703494107327209}, 64 {31.591482272629477, 23.811002295222025}, 65 {76.824588616426425, 44.049473790502674}, 66 {119.25488947221436, 55.599248272955073}}} 67 }, { // intersects in three places 68 {{{0, 45}, {50, 100}, {150, 0}, {200, 55}}}, 69 {{{0, 55}, {50, 0}, {150, 100}, {200, 45}}} 70 }, { // intersects in one place, cross over is nearly parallel 71 {{{0, 0}, {0, 100}, {200, 0}, {200, 100}}}, 72 {{{0, 100}, {0, 0}, {200, 100}, {200, 0}}} 73 }, { // intersects in two places 74 {{{0, 0}, {0, 100}, {200, 100}, {200, 0}}}, 75 {{{0, 100}, {0, 0}, {200, 0}, {200, 100}}} 76 }, { 77 {{{150, 100}, {150 + 0.1, 150}, {150, 200}, {150, 250}}}, 78 {{{250, 150}, {200, 150 + 0.1}, {150, 150}, {100, 150}}} 79 }, { // single intersection around 168,185 80 {{{200, 100}, {150, 100}, {150, 150}, {200, 150}}}, 81 {{{250, 150}, {250, 100}, {100, 100}, {100, 150}}} 82 }, { 83 {{{1.0, 1.5}, {15.5, 0.5}, {-8.0, 3.5}, {5.0, 1.5}}}, 84 {{{4.0, 0.5}, {5.0, 15.0}, {2.0, -8.5}, {4.0, 4.5}}} 85 }, { 86 {{{664.00168, 0}, {726.11545, 124.22757}, {736.89069, 267.89743}, 87 {694.0017, 400.0002}}}, 88 {{{850.66843, 115.55563}, {728.515, 115.55563}, {725.21347, 275.15309}, 89 {694.0017, 400.0002}}} 90 }, { 91 {{{1, 1}, {12.5, 6.5}, {-4, 6.5}, {7.5, 1}}}, 92 {{{1, 6.5}, {12.5, 1}, {-4, 1}, {.5, 6}}} 93 }, { 94 {{{315.748, 312.84}, {312.644, 318.134}, {305.836, 319.909}, {300.542, 316.804}}}, 95 {{{317.122, 309.05}, {316.112, 315.102}, {310.385, 319.19}, {304.332, 318.179}}} 96 }, { 97 {{{1046.604051, 172.937967}, {1046.604051, 178.9763059}, {1041.76745, 183.9279165}, {1035.703842, 184.0432409}}}, 98 {{{1046.452235, 174.7640504}, {1045.544872, 180.1973817}, {1040.837966, 184.0469882}, {1035.505925, 184.0469882}}} 99 }, { 100 {{{125.79356, 199.57382}, {51.16556, 128.93575}, {87.494, 16.67848}, {167.29361, 16.67848}}}, 101 {{{167.29361, 55.81876}, {100.36128, 55.81876}, {68.64099, 145.4755}, {125.7942, 199.57309}}} 102 }, { 103 {{{104.11546583642826, 370.21352558595504}, {122.96968232592344, 404.54489231839295}, 104 {169.90881005384728, 425.00067000000007}, {221.33045999999999, 425.00067000000001}}}, 105 {{{116.32365976159625, 381.71048540582598}, {103.86096590870899, 381.71048540581626}, 106 {91.394188003200725, 377.17917781762833}, {82.622283093355179, 368.11683661930334}}} 107 } 108}; 109 110const size_t tests_count = SK_ARRAY_COUNT(tests); 111 112const SkDCubic lines[] = { 113 {{{0, 0}, {0, 0}, {0, 0}, {1, 0}}}, // 0: horizontal 114 {{{1, 0}, {0, 0}, {0, 0}, {0, 0}}}, 115 {{{1, 0}, {2, 0}, {3, 0}, {4, 0}}}, 116 {{{0, 0}, {0, 0}, {0, 0}, {0, 1}}}, // 5: vertical 117 {{{0, 1}, {0, 0}, {0, 0}, {0, 0}}}, 118 {{{0, 1}, {0, 2}, {0, 3}, {0, 4}}}, 119 {{{0, 0}, {0, 0}, {0, 0}, {1, 1}}}, // 10: 3 coincident 120 {{{1, 1}, {0, 0}, {0, 0}, {0, 0}}}, 121 {{{0, 0}, {0, 0}, {1, 1}, {2, 2}}}, // 14: 2 coincident 122 {{{0, 0}, {1, 1}, {0, 0}, {2, 2}}}, 123 {{{1, 1}, {0, 0}, {0, 0}, {2, 2}}}, // 17: 124 {{{1, 1}, {0, 0}, {2, 2}, {0, 0}}}, 125 {{{1, 1}, {2, 2}, {0, 0}, {0, 0}}}, 126 {{{1, 1}, {2, 2}, {3, 3}, {2, 2}}}, // middle-last coincident 127 {{{1, 1}, {2, 2}, {3, 3}, {3, 3}}}, // middle-last coincident 128 {{{1, 1}, {1, 1}, {2, 2}, {2, 2}}}, // 2 pairs coincident 129 {{{1, 1}, {2, 2}, {1, 1}, {2, 2}}}, 130 {{{1, 1}, {1, 1}, {3, 3}, {3, 3}}}, // first-middle middle-last coincident 131 {{{1, 1}, {2, 2}, {3, 3}, {4, 4}}}, // no coincident 132 {{{1, 1}, {3, 3}, {2, 2}, {4, 4}}}, 133 {{{1, 1}, {2, 2}, {4, 4}, {3, 3}}}, 134 {{{1, 1}, {3, 3}, {4, 4}, {2, 2}}}, 135 {{{1, 1}, {4, 4}, {2, 2}, {3, 3}}}, 136 {{{1, 1}, {4, 4}, {3, 3}, {2, 2}}}, 137 {{{2, 2}, {1, 1}, {3, 3}, {4, 4}}}, 138 {{{2, 2}, {1, 1}, {4, 4}, {3, 3}}}, 139 {{{2, 2}, {3, 3}, {1, 1}, {4, 4}}}, 140 {{{2, 2}, {3, 3}, {4, 4}, {1, 1}}}, 141 {{{2, 2}, {4, 4}, {1, 1}, {3, 3}}}, 142 {{{2, 2}, {4, 4}, {3, 3}, {1, 1}}}, 143}; 144 145const size_t lines_count = SK_ARRAY_COUNT(lines); 146 147// 'not a line' tries to fool the line detection code 148const SkDCubic notLines[] = { 149 {{{0, 0}, {0, 0}, {0, 1}, {1, 0}}}, 150 {{{0, 0}, {0, 1}, {0, 0}, {1, 0}}}, 151 {{{0, 0}, {0, 1}, {1, 0}, {0, 0}}}, 152 {{{0, 1}, {0, 0}, {0, 0}, {1, 0}}}, 153 {{{0, 1}, {0, 0}, {1, 0}, {0, 0}}}, 154 {{{0, 1}, {1, 0}, {0, 0}, {0, 0}}}, 155}; 156 157const size_t notLines_count = SK_ARRAY_COUNT(notLines); 158 159static const double E = FLT_EPSILON * 2; 160static const double F = FLT_EPSILON * 3; 161 162const SkDCubic modEpsilonLines[] = { 163 {{{0, E}, {0, 0}, {0, 0}, {1, 0}}}, // horizontal 164 {{{0, 0}, {0, E}, {1, 0}, {0, 0}}}, 165 {{{0, 0}, {1, 0}, {0, E}, {0, 0}}}, 166 {{{1, 0}, {0, 0}, {0, 0}, {0, E}}}, 167 {{{1, E}, {2, 0}, {3, 0}, {4, 0}}}, 168 {{{E, 0}, {0, 0}, {0, 0}, {0, 1}}}, // vertical 169 {{{0, 0}, {E, 0}, {0, 1}, {0, 0}}}, 170 {{{0, 0}, {0, 1}, {E, 0}, {0, 0}}}, 171 {{{0, 1}, {0, 0}, {0, 0}, {E, 0}}}, 172 {{{E, 1}, {0, 2}, {0, 3}, {0, 4}}}, 173 {{{E, 0}, {0, 0}, {0, 0}, {1, 1}}}, // 3 coincident 174 {{{0, 0}, {E, 0}, {1, 1}, {0, 0}}}, 175 {{{0, 0}, {1, 1}, {E, 0}, {0, 0}}}, 176 {{{1, 1}, {0, 0}, {0, 0}, {E, 0}}}, 177 {{{0, E}, {0, 0}, {1, 1}, {2, 2}}}, // 2 coincident 178 {{{0, 0}, {1, 1}, {0, E}, {2, 2}}}, 179 {{{0, 0}, {1, 1}, {2, 2}, {0, E}}}, 180 {{{1, 1}, {0, E}, {0, 0}, {2, 2}}}, 181 {{{1, 1}, {0, E}, {2, 2}, {0, 0}}}, 182 {{{1, 1}, {2, 2}, {E, 0}, {0, 0}}}, 183 {{{1, 1}, {2, 2+E}, {3, 3}, {2, 2}}}, // middle-last coincident 184 {{{1, 1}, {2+E, 2}, {3, 3}, {3, 3}}}, // middle-last coincident 185 {{{1, 1}, {1, 1}, {2, 2}, {2+E, 2}}}, // 2 pairs coincident 186 {{{1, 1}, {2, 2}, {1, 1}, {2+E, 2}}}, 187 {{{1, 1}, {2, 2}, {2, 2+E}, {1, 1}}}, 188 {{{1, 1}, {1, 1+E}, {3, 3}, {3, 3}}}, // first-middle middle-last coincident 189 {{{1, 1}, {2+E, 2}, {3, 3}, {4, 4}}}, // no coincident 190 {{{1, 1}, {3, 3}, {2, 2}, {4, 4+F}}}, // INVESTIGATE: why the epsilon is bigger 191 {{{1, 1+F}, {2, 2}, {4, 4}, {3, 3}}}, // INVESTIGATE: why the epsilon is bigger 192 {{{1, 1}, {3, 3}, {4, 4+E}, {2, 2}}}, 193 {{{1, 1}, {4, 4}, {2, 2}, {3, 3+E}}}, 194 {{{1, 1}, {4, 4}, {3, 3}, {2+E, 2}}}, 195 {{{2, 2}, {1, 1}, {3+E, 3}, {4, 4}}}, 196 {{{2, 2}, {1+E, 1}, {4, 4}, {3, 3}}}, 197 {{{2, 2+E}, {3, 3}, {1, 1}, {4, 4}}}, 198 {{{2+E, 2}, {3, 3}, {4, 4}, {1, 1}}}, 199 {{{2, 2}, {4+E, 4}, {1, 1}, {3, 3}}}, 200 {{{2, 2}, {4, 4}, {3, 3}, {1, 1+E}}}, 201}; 202 203const size_t modEpsilonLines_count = SK_ARRAY_COUNT(modEpsilonLines); 204 205const SkDCubic lessEpsilonLines[] = { 206 {{{0, D}, {0, 0}, {0, 0}, {1, 0}}}, // horizontal 207 {{{1, 0}, {0, 0}, {0, 0}, {0, D}}}, 208 {{{1, D}, {2, 0}, {3, 0}, {4, 0}}}, 209 {{{D, 0}, {0, 0}, {0, 0}, {0, 1}}}, // vertical 210 {{{0, 1}, {0, 0}, {0, 0}, {D, 0}}}, 211 {{{D, 1}, {0, 2}, {0, 3}, {0, 4}}}, 212 {{{D, 0}, {0, 0}, {0, 0}, {1, 1}}}, // 3 coincident 213 {{{1, 1}, {0, 0}, {0, 0}, {D, 0}}}, 214 {{{0, D}, {0, 0}, {1, 1}, {2, 2}}}, // 2 coincident 215 {{{0, 0}, {1, 1}, {0, D}, {2, 2}}}, 216 {{{0, 0}, {1, 1}, {2, 2}, {1, 1+D}}}, 217 {{{1, 1}, {0, D}, {0, 0}, {2, 2}}}, 218 {{{1, 1}, {0, D}, {2, 2}, {0, 0}}}, 219 {{{1, 1}, {2, 2}, {D, 0}, {0, 0}}}, 220 {{{1, 1}, {2, 2+D}, {3, 3}, {2, 2}}}, // middle-last coincident 221 {{{1, 1}, {2+D, 2}, {3, 3}, {3, 3}}}, // middle-last coincident 222 {{{1, 1}, {1, 1}, {2, 2}, {2+D, 2}}}, // 2 pairs coincident 223 {{{1, 1}, {2, 2}, {1, 1}, {2+D, 2}}}, 224 {{{1, 1}, {1, 1+D}, {3, 3}, {3, 3}}}, // first-middle middle-last coincident 225 {{{1, 1}, {2+D/2, 2}, {3, 3}, {4, 4}}}, // no coincident (FIXME: N as opposed to N/2 failed) 226 {{{1, 1}, {3, 3}, {2, 2}, {4, 4+D}}}, 227 {{{1, 1+D}, {2, 2}, {4, 4}, {3, 3}}}, 228 {{{1, 1}, {3, 3}, {4, 4+D}, {2, 2}}}, 229 {{{1, 1}, {4, 4}, {2, 2}, {3, 3+D}}}, 230 {{{1, 1}, {4, 4}, {3, 3}, {2+G, 2}}}, // INVESTIGATE: why the epsilon is smaller 231 {{{2, 2}, {1, 1}, {3+D, 3}, {4, 4}}}, 232 {{{2, 2}, {1+D, 1}, {4, 4}, {3, 3}}}, 233 {{{2, 2+D}, {3, 3}, {1, 1}, {4, 4}}}, 234 {{{2+G, 2}, {3, 3}, {4, 4}, {1, 1}}}, // INVESTIGATE: why the epsilon is smaller 235 {{{2, 2}, {4+D, 4}, {1, 1}, {3, 3}}}, 236 {{{2, 2}, {4, 4}, {3, 3}, {1, 1+D}}}, 237}; 238 239const size_t lessEpsilonLines_count = SK_ARRAY_COUNT(lessEpsilonLines); 240 241const SkDCubic negEpsilonLines[] = { 242 {{{0, N}, {0, 0}, {0, 0}, {1, 0}}}, // horizontal 243 {{{1, 0}, {0, 0}, {0, 0}, {0, N}}}, 244 {{{1, N}, {2, 0}, {3, 0}, {4, 0}}}, 245 {{{N, 0}, {0, 0}, {0, 0}, {0, 1}}}, // vertical 246 {{{0, 1}, {0, 0}, {0, 0}, {N, 0}}}, 247 {{{N, 1}, {0, 2}, {0, 3}, {0, 4}}}, 248 {{{N, 0}, {0, 0}, {0, 0}, {1, 1}}}, // 3 coincident 249 {{{1, 1}, {0, 0}, {0, 0}, {N, 0}}}, 250 {{{0, N}, {0, 0}, {1, 1}, {2, 2}}}, // 2 coincident 251 {{{0, 0}, {1, 1}, {0, N}, {2, 2}}}, 252 {{{0, 0}, {1, 1}, {2, 2}, {1, 1+N}}}, 253 {{{1, 1}, {0, N}, {0, 0}, {2, 2}}}, 254 {{{1, 1}, {0, N}, {2, 2}, {0, 0}}}, 255 {{{1, 1}, {2, 2}, {N, 0}, {0, 0}}}, 256 {{{1, 1}, {2, 2+N}, {3, 3}, {2, 2}}}, // middle-last coincident 257 {{{1, 1}, {2+N, 2}, {3, 3}, {3, 3}}}, // middle-last coincident 258 {{{1, 1}, {1, 1}, {2, 2}, {2+N, 2}}}, // 2 pairs coincident 259 {{{1, 1}, {2, 2}, {1, 1}, {2+N, 2}}}, 260 {{{1, 1}, {1, 1+N}, {3, 3}, {3, 3}}}, // first-middle middle-last coincident 261 {{{1, 1}, {2+N/2, 2}, {3, 3}, {4, 4}}}, // no coincident (FIXME: N as opposed to N/2 failed) 262 {{{1, 1}, {3, 3}, {2, 2}, {4, 4+N}}}, 263 {{{1, 1+N}, {2, 2}, {4, 4}, {3, 3}}}, 264 {{{1, 1}, {3, 3}, {4, 4+N}, {2, 2}}}, 265 {{{1, 1}, {4, 4}, {2, 2}, {3, 3+N}}}, 266 {{{1, 1}, {4, 4}, {3, 3}, {2+M, 2}}}, // INVESTIGATE: why the epsilon is smaller 267 {{{2, 2}, {1, 1}, {3+N, 3}, {4, 4}}}, 268 {{{2, 2}, {1+N, 1}, {4, 4}, {3, 3}}}, 269 {{{2, 2+N}, {3, 3}, {1, 1}, {4, 4}}}, 270 {{{2+M, 2}, {3, 3}, {4, 4}, {1, 1}}}, // INVESTIGATE: why the epsilon is smaller 271 {{{2, 2}, {4+N, 4}, {1, 1}, {3, 3}}}, 272 {{{2, 2}, {4, 4}, {3, 3}, {1, 1+N}}}, 273}; 274 275const size_t negEpsilonLines_count = SK_ARRAY_COUNT(negEpsilonLines); 276