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caryclark@google.com9166dcb2013-04-08 11:50:00 +00001/*
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 */
tfarina@chromium.org8f6884a2014-01-24 20:56:26 +00007
caryclark@google.com9166dcb2013-04-08 11:50:00 +00008#include "PathOpsCubicIntersectionTestData.h"
tfarina@chromium.org8f6884a2014-01-24 20:56:26 +00009
caryclark@google.com9166dcb2013-04-08 11:50:00 +000010#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
caryclark@google.comad65a3e2013-04-15 19:13:59 +000046const size_t pointDegenerates_count = SK_ARRAY_COUNT(pointDegenerates);
caryclark@google.com9166dcb2013-04-08 11:50:00 +000047
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 =
caryclark@google.comad65a3e2013-04-15 19:13:59 +000054 SK_ARRAY_COUNT(notPointDegenerates);
caryclark@google.com9166dcb2013-04-08 11:50:00 +000055
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}}}
caryclark@google.com66089e42013-04-10 15:55:37 +0000102 }, {
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}}}
caryclark@google.com9166dcb2013-04-08 11:50:00 +0000107 }
108};
109
caryclark@google.comad65a3e2013-04-15 19:13:59 +0000110const size_t tests_count = SK_ARRAY_COUNT(tests);
caryclark@google.com9166dcb2013-04-08 11:50:00 +0000111
caryclark@google.com9166dcb2013-04-08 11:50:00 +0000112const 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
caryclark@google.comad65a3e2013-04-15 19:13:59 +0000145const size_t lines_count = SK_ARRAY_COUNT(lines);
caryclark@google.com9166dcb2013-04-08 11:50:00 +0000146
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
caryclark@google.comad65a3e2013-04-15 19:13:59 +0000157const size_t notLines_count = SK_ARRAY_COUNT(notLines);
caryclark@google.com9166dcb2013-04-08 11:50:00 +0000158
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
caryclark@google.comad65a3e2013-04-15 19:13:59 +0000203const size_t modEpsilonLines_count = SK_ARRAY_COUNT(modEpsilonLines);
caryclark@google.com9166dcb2013-04-08 11:50:00 +0000204
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}}},
caryclark@google.com7eaa53d2013-10-02 14:49:34 +0000216 {{{0, 0}, {1, 1}, {2, 2}, {1, 1+D}}},
caryclark@google.com9166dcb2013-04-08 11:50:00 +0000217 {{{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
caryclark@google.comad65a3e2013-04-15 19:13:59 +0000239const size_t lessEpsilonLines_count = SK_ARRAY_COUNT(lessEpsilonLines);
caryclark@google.com9166dcb2013-04-08 11:50:00 +0000240
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}}},
caryclark@google.com7eaa53d2013-10-02 14:49:34 +0000252 {{{0, 0}, {1, 1}, {2, 2}, {1, 1+N}}},
caryclark@google.com9166dcb2013-04-08 11:50:00 +0000253 {{{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
caryclark@google.comad65a3e2013-04-15 19:13:59 +0000275const size_t negEpsilonLines_count = SK_ARRAY_COUNT(negEpsilonLines);