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 #include "CubicIntersection_TestData.h"
8 #include <limits>
9
10 const Cubic pointDegenerates[] = {
11 {{0, 0}, {0, 0}, {0, 0}, {0, 0}},
12 {{1, 1}, {1, 1}, {1, 1}, {1, 1}},
13 {{1 + PointEpsilon - std::numeric_limits<double>::epsilon(), 1},
14 {1, 1 + PointEpsilon - std::numeric_limits<double>::epsilon()}, {1, 1}, {1, 1}},
15 {{1 + PointEpsilon/2 - std::numeric_limits<double>::epsilon(), 1},
16 {1 - (PointEpsilon/2 - std::numeric_limits<double>::epsilon()), 1}, {1, 1}, {1, 1}}
17 };
18
19 const size_t pointDegenerates_count = sizeof(pointDegenerates) / sizeof(pointDegenerates[0]);
20
21 const Cubic notPointDegenerates[] = {
22 {{1 + PointEpsilon + std::numeric_limits<double>::epsilon(), 1}, {1, 1 + PointEpsilon}, {1, 1}, {1, 1}},
23 {{1 + PointEpsilon/2 + std::numeric_limits<double>::epsilon(), 1}, {1 - PointEpsilon/2, 1}, {1, 1}, {1, 1}}
24 };
25
26 const size_t notPointDegenerates_count = sizeof(notPointDegenerates) / sizeof(notPointDegenerates[0]);
27
28 // from http://www.truetex.com/bezint.htm
29 const Cubic tests[][2] = {
30 { // intersects in one place (data gives bezier clip fits
31 {{0, 45},
32 {6.0094158284751593, 51.610357411322688},
33 {12.741093228940867, 55.981703949474607},
34 {20.021417396476362, 58.652245509710262}},
35 {{2.2070737699246674, 52.703494107327209},
36 {31.591482272629477, 23.811002295222025},
37 {76.824588616426425, 44.049473790502674},
38 {119.25488947221436, 55.599248272955073}}
39 },
40 { // intersects in three places
41 {{0, 45}, {50, 100}, {150, 0}, {200, 55}},
42 {{0, 55}, {50, 0}, {150, 100}, {200, 45}}
43 },
44 { // intersects in one place, cross over is nearly parallel
45 {{0, 0}, {0, 100}, {200, 0}, {200, 100}},
46 {{0, 100}, {0, 0}, {200, 100}, {200, 0}}
47 },
48 { // intersects in two places
49 {{0, 0}, {0, 100}, {200, 100}, {200, 0}},
50 {{0, 100}, {0, 0}, {200, 0}, {200, 100}}
51 },
52 {
53 {{150, 100}, {150 + 0.1, 150}, {150, 200}, {150, 250}},
54 {{250, 150}, {200, 150 + 0.1}, {150, 150}, {100, 150}}
55 },
56 { // single intersection around 168,185
57 {{200, 100}, {150, 100}, {150, 150}, {200, 150}},
58 {{250, 150}, {250, 100}, {100, 100}, {100, 150}}
59 },
60 {
61 {{1.0, 1.5}, {15.5, 0.5}, {-8.0, 3.5}, {5.0, 1.5}},
62 {{4.0, 0.5}, {5.0, 15.0}, {2.0, -8.5}, {4.0, 4.5}}
63 },
64 {
65 {{664.00168, 0}, {726.11545, 124.22757}, {736.89069, 267.89743}, {694.0017, 400.0002}},
66 {{850.66843, 115.55563}, {728.515, 115.55563}, {725.21347, 275.15309}, {694.0017, 400.0002}}
67 },
68 {
69 {{1, 1}, {12.5, 6.5}, {-4, 6.5}, {7.5, 1}},
70 {{1, 6.5}, {12.5, 1}, {-4, 1}, {.5, 6}}
71 },
72 {
73 {{315.748, 312.84}, {312.644, 318.134}, {305.836, 319.909}, {300.542, 316.804}},
74 {{317.122, 309.05}, {316.112, 315.102}, {310.385, 319.19}, {304.332, 318.179}}
75 },
76 {
77 {{1046.604051, 172.937967}, {1046.604051, 178.9763059}, {1041.76745, 183.9279165}, {1035.703842, 184.0432409}},
78 {{1046.452235, 174.7640504}, {1045.544872, 180.1973817}, {1040.837966, 184.0469882}, {1035.505925, 184.0469882}}
79 },
80 {
81 {{125.79356, 199.57382}, {51.16556, 128.93575}, {87.494, 16.67848}, {167.29361, 16.67848}},
82 {{167.29361, 55.81876}, {100.36128, 55.81876}, {68.64099, 145.4755}, {125.7942, 199.57309}}
83 }
84 };
85
86 const size_t tests_count = sizeof(tests) / sizeof(tests[0]);
87
88 Cubic hexTests[][2] = {
89 {
90 {{0}} // placeholder for hex converted below
91 }
92 };
93
94 const size_t hexTests_count = sizeof(hexTests) / sizeof(hexTests[0]);
95
96 static const uint64_t testx[2][8] = {
97 {
98 0xf0d0d1ca63075a40LLU, 0x9408ce996a237740LLU, 0x6d5675460fbe5e40LLU, 0x6ef501e1b7487940LLU,
99 0x9a71d2f8143d6540LLU, 0x6bc18bbe02907a40LLU, 0x5b94d92093aa6b40LLU, 0x6ac18bbe02907a40LLU
100 },
101 {
102 0x92c56ed7b6145d40LLU, 0xede4f1255edb7740LLU, 0x1138c1101af75940LLU, 0x42e4f1255edb7740LLU,
103 0x408e51603ad95640LLU, 0x1e2e8fe9dd927740LLU, 0x1cb4777cd3a75440LLU, 0x212e1390de017740LLU
104 }
105 };
106
convert_testx()107 void convert_testx() {
108 const uint64_t* inPtr = testx[0];
109 double* outPtr = &hexTests[sizeof(tests) / sizeof(tests[0]) - 1][0][0].x;
110 for (unsigned index = 0; index < sizeof(testx) / sizeof(testx[0][0]); ++index) {
111 uint64_t input = *inPtr++;
112 unsigned char* output = (unsigned char*) outPtr++;
113 for (unsigned byte = 0; byte < sizeof(input); ++byte) {
114 output[byte] = input >> (7 - byte) * 8;
115 }
116 }
117 }
118
119 const Cubic lines[] = {
120 {{0, 0}, {0, 0}, {0, 0}, {1, 0}}, // 0: horizontal
121 {{0, 0}, {0, 0}, {1, 0}, {0, 0}},
122 {{0, 0}, {1, 0}, {0, 0}, {0, 0}},
123 {{1, 0}, {0, 0}, {0, 0}, {0, 0}},
124 {{1, 0}, {2, 0}, {3, 0}, {4, 0}},
125 {{0, 0}, {0, 0}, {0, 0}, {0, 1}}, // 5: vertical
126 {{0, 0}, {0, 0}, {0, 1}, {0, 0}},
127 {{0, 0}, {0, 1}, {0, 0}, {0, 0}},
128 {{0, 1}, {0, 0}, {0, 0}, {0, 0}},
129 {{0, 1}, {0, 2}, {0, 3}, {0, 4}},
130 {{0, 0}, {0, 0}, {0, 0}, {1, 1}}, // 10: 3 coincident
131 {{0, 0}, {0, 0}, {1, 1}, {0, 0}},
132 {{0, 0}, {1, 1}, {0, 0}, {0, 0}},
133 {{1, 1}, {0, 0}, {0, 0}, {0, 0}},
134 {{0, 0}, {0, 0}, {1, 1}, {2, 2}}, // 14: 2 coincident
135 {{0, 0}, {1, 1}, {0, 0}, {2, 2}},
136 {{0, 0}, {1, 1}, {2, 2}, {0, 0}},
137 {{1, 1}, {0, 0}, {0, 0}, {2, 2}}, // 17:
138 {{1, 1}, {0, 0}, {2, 2}, {0, 0}},
139 {{1, 1}, {2, 2}, {0, 0}, {0, 0}},
140 {{1, 1}, {2, 2}, {3, 3}, {2, 2}}, // middle-last coincident
141 {{1, 1}, {2, 2}, {3, 3}, {3, 3}}, // middle-last coincident
142 {{1, 1}, {1, 1}, {2, 2}, {2, 2}}, // 2 pairs coincident
143 {{1, 1}, {2, 2}, {1, 1}, {2, 2}},
144 {{1, 1}, {2, 2}, {2, 2}, {1, 1}},
145 {{1, 1}, {1, 1}, {3, 3}, {3, 3}}, // first-middle middle-last coincident
146 {{1, 1}, {2, 2}, {3, 3}, {4, 4}}, // no coincident
147 {{1, 1}, {3, 3}, {2, 2}, {4, 4}},
148 {{1, 1}, {2, 2}, {4, 4}, {3, 3}},
149 {{1, 1}, {3, 3}, {4, 4}, {2, 2}},
150 {{1, 1}, {4, 4}, {2, 2}, {3, 3}},
151 {{1, 1}, {4, 4}, {3, 3}, {2, 2}},
152 {{2, 2}, {1, 1}, {3, 3}, {4, 4}},
153 {{2, 2}, {1, 1}, {4, 4}, {3, 3}},
154 {{2, 2}, {3, 3}, {1, 1}, {4, 4}},
155 {{2, 2}, {3, 3}, {4, 4}, {1, 1}},
156 {{2, 2}, {4, 4}, {1, 1}, {3, 3}},
157 {{2, 2}, {4, 4}, {3, 3}, {1, 1}},
158 };
159
160 const size_t lines_count = sizeof(lines) / sizeof(lines[0]);
161
162 // 'not a line' tries to fool the line detection code
163 const Cubic notLines[] = {
164 {{0, 0}, {0, 0}, {0, 1}, {1, 0}},
165 {{0, 0}, {0, 1}, {0, 0}, {1, 0}},
166 {{0, 0}, {0, 1}, {1, 0}, {0, 0}},
167 {{0, 1}, {0, 0}, {0, 0}, {1, 0}},
168 {{0, 1}, {0, 0}, {1, 0}, {0, 0}},
169 {{0, 1}, {1, 0}, {0, 0}, {0, 0}},
170 };
171
172 const size_t notLines_count = sizeof(notLines) / sizeof(notLines[0]);
173
174 static const double E = PointEpsilon * 2;
175 static const double F = PointEpsilon * 3;
176
177 const Cubic modEpsilonLines[] = {
178 {{0, E}, {0, 0}, {0, 0}, {1, 0}}, // horizontal
179 {{0, 0}, {0, E}, {1, 0}, {0, 0}},
180 {{0, 0}, {1, 0}, {0, E}, {0, 0}},
181 {{1, 0}, {0, 0}, {0, 0}, {0, E}},
182 {{1, E}, {2, 0}, {3, 0}, {4, 0}},
183 {{E, 0}, {0, 0}, {0, 0}, {0, 1}}, // vertical
184 {{0, 0}, {E, 0}, {0, 1}, {0, 0}},
185 {{0, 0}, {0, 1}, {E, 0}, {0, 0}},
186 {{0, 1}, {0, 0}, {0, 0}, {E, 0}},
187 {{E, 1}, {0, 2}, {0, 3}, {0, 4}},
188 {{E, 0}, {0, 0}, {0, 0}, {1, 1}}, // 3 coincident
189 {{0, 0}, {E, 0}, {1, 1}, {0, 0}},
190 {{0, 0}, {1, 1}, {E, 0}, {0, 0}},
191 {{1, 1}, {0, 0}, {0, 0}, {E, 0}},
192 {{0, E}, {0, 0}, {1, 1}, {2, 2}}, // 2 coincident
193 {{0, 0}, {1, 1}, {0, E}, {2, 2}},
194 {{0, 0}, {1, 1}, {2, 2}, {0, E}},
195 {{1, 1}, {0, E}, {0, 0}, {2, 2}},
196 {{1, 1}, {0, E}, {2, 2}, {0, 0}},
197 {{1, 1}, {2, 2}, {E, 0}, {0, 0}},
198 {{1, 1}, {2, 2+E}, {3, 3}, {2, 2}}, // middle-last coincident
199 {{1, 1}, {2+E, 2}, {3, 3}, {3, 3}}, // middle-last coincident
200 {{1, 1}, {1, 1}, {2, 2}, {2+E, 2}}, // 2 pairs coincident
201 {{1, 1}, {2, 2}, {1, 1}, {2+E, 2}},
202 {{1, 1}, {2, 2}, {2, 2+E}, {1, 1}},
203 {{1, 1}, {1, 1+E}, {3, 3}, {3, 3}}, // first-middle middle-last coincident
204 {{1, 1}, {2+E, 2}, {3, 3}, {4, 4}}, // no coincident
205 {{1, 1}, {3, 3}, {2, 2}, {4, 4+F}}, // INVESTIGATE: why the epsilon is bigger
206 {{1, 1+F}, {2, 2}, {4, 4}, {3, 3}}, // INVESTIGATE: why the epsilon is bigger
207 {{1, 1}, {3, 3}, {4, 4+E}, {2, 2}},
208 {{1, 1}, {4, 4}, {2, 2}, {3, 3+E}},
209 {{1, 1}, {4, 4}, {3, 3}, {2+E, 2}},
210 {{2, 2}, {1, 1}, {3+E, 3}, {4, 4}},
211 {{2, 2}, {1+E, 1}, {4, 4}, {3, 3}},
212 {{2, 2+E}, {3, 3}, {1, 1}, {4, 4}},
213 {{2+E, 2}, {3, 3}, {4, 4}, {1, 1}},
214 {{2, 2}, {4+E, 4}, {1, 1}, {3, 3}},
215 {{2, 2}, {4, 4}, {3, 3}, {1, 1+E}},
216 };
217
218 const size_t modEpsilonLines_count = sizeof(modEpsilonLines) / sizeof(modEpsilonLines[0]);
219
220 static const double D = PointEpsilon / 2;
221 static const double G = PointEpsilon / 3;
222
223 const Cubic lessEpsilonLines[] = {
224 {{0, D}, {0, 0}, {0, 0}, {1, 0}}, // horizontal
225 {{0, 0}, {0, D}, {1, 0}, {0, 0}},
226 {{0, 0}, {1, 0}, {0, D}, {0, 0}},
227 {{1, 0}, {0, 0}, {0, 0}, {0, D}},
228 {{1, D}, {2, 0}, {3, 0}, {4, 0}},
229 {{D, 0}, {0, 0}, {0, 0}, {0, 1}}, // vertical
230 {{0, 0}, {D, 0}, {0, 1}, {0, 0}},
231 {{0, 0}, {0, 1}, {D, 0}, {0, 0}},
232 {{0, 1}, {0, 0}, {0, 0}, {D, 0}},
233 {{D, 1}, {0, 2}, {0, 3}, {0, 4}},
234 {{D, 0}, {0, 0}, {0, 0}, {1, 1}}, // 3 coincident
235 {{0, 0}, {D, 0}, {1, 1}, {0, 0}},
236 {{0, 0}, {1, 1}, {D, 0}, {0, 0}},
237 {{1, 1}, {0, 0}, {0, 0}, {D, 0}},
238 {{0, D}, {0, 0}, {1, 1}, {2, 2}}, // 2 coincident
239 {{0, 0}, {1, 1}, {0, D}, {2, 2}},
240 {{0, 0}, {1, 1}, {2, 2}, {0, D}},
241 {{1, 1}, {0, D}, {0, 0}, {2, 2}},
242 {{1, 1}, {0, D}, {2, 2}, {0, 0}},
243 {{1, 1}, {2, 2}, {D, 0}, {0, 0}},
244 {{1, 1}, {2, 2+D}, {3, 3}, {2, 2}}, // middle-last coincident
245 {{1, 1}, {2+D, 2}, {3, 3}, {3, 3}}, // middle-last coincident
246 {{1, 1}, {1, 1}, {2, 2}, {2+D, 2}}, // 2 pairs coincident
247 {{1, 1}, {2, 2}, {1, 1}, {2+D, 2}},
248 {{1, 1}, {2, 2}, {2, 2+D}, {1, 1}},
249 {{1, 1}, {1, 1+D}, {3, 3}, {3, 3}}, // first-middle middle-last coincident
250 {{1, 1}, {2+D/2, 2}, {3, 3}, {4, 4}}, // no coincident (FIXME: N as opposed to N/2 failed)
251 {{1, 1}, {3, 3}, {2, 2}, {4, 4+D}},
252 {{1, 1+D}, {2, 2}, {4, 4}, {3, 3}},
253 {{1, 1}, {3, 3}, {4, 4+D}, {2, 2}},
254 {{1, 1}, {4, 4}, {2, 2}, {3, 3+D}},
255 {{1, 1}, {4, 4}, {3, 3}, {2+G, 2}}, // INVESTIGATE: why the epsilon is smaller
256 {{2, 2}, {1, 1}, {3+D, 3}, {4, 4}},
257 {{2, 2}, {1+D, 1}, {4, 4}, {3, 3}},
258 {{2, 2+D}, {3, 3}, {1, 1}, {4, 4}},
259 {{2+G, 2}, {3, 3}, {4, 4}, {1, 1}}, // INVESTIGATE: why the epsilon is smaller
260 {{2, 2}, {4+D, 4}, {1, 1}, {3, 3}},
261 {{2, 2}, {4, 4}, {3, 3}, {1, 1+D}},
262 };
263
264 const size_t lessEpsilonLines_count = sizeof(lessEpsilonLines) / sizeof(lessEpsilonLines[0]);
265
266 static const double N = -PointEpsilon / 2;
267 static const double M = -PointEpsilon / 3;
268
269 const Cubic negEpsilonLines[] = {
270 {{0, N}, {0, 0}, {0, 0}, {1, 0}}, // horizontal
271 {{0, 0}, {0, N}, {1, 0}, {0, 0}},
272 {{0, 0}, {1, 0}, {0, N}, {0, 0}},
273 {{1, 0}, {0, 0}, {0, 0}, {0, N}},
274 {{1, N}, {2, 0}, {3, 0}, {4, 0}},
275 {{N, 0}, {0, 0}, {0, 0}, {0, 1}}, // vertical
276 {{0, 0}, {N, 0}, {0, 1}, {0, 0}},
277 {{0, 0}, {0, 1}, {N, 0}, {0, 0}},
278 {{0, 1}, {0, 0}, {0, 0}, {N, 0}},
279 {{N, 1}, {0, 2}, {0, 3}, {0, 4}},
280 {{N, 0}, {0, 0}, {0, 0}, {1, 1}}, // 3 coincident
281 {{0, 0}, {N, 0}, {1, 1}, {0, 0}},
282 {{0, 0}, {1, 1}, {N, 0}, {0, 0}},
283 {{1, 1}, {0, 0}, {0, 0}, {N, 0}},
284 {{0, N}, {0, 0}, {1, 1}, {2, 2}}, // 2 coincident
285 {{0, 0}, {1, 1}, {0, N}, {2, 2}},
286 {{0, 0}, {1, 1}, {2, 2}, {0, N}},
287 {{1, 1}, {0, N}, {0, 0}, {2, 2}},
288 {{1, 1}, {0, N}, {2, 2}, {0, 0}},
289 {{1, 1}, {2, 2}, {N, 0}, {0, 0}},
290 {{1, 1}, {2, 2+N}, {3, 3}, {2, 2}}, // middle-last coincident
291 {{1, 1}, {2+N, 2}, {3, 3}, {3, 3}}, // middle-last coincident
292 {{1, 1}, {1, 1}, {2, 2}, {2+N, 2}}, // 2 pairs coincident
293 {{1, 1}, {2, 2}, {1, 1}, {2+N, 2}},
294 {{1, 1}, {2, 2}, {2, 2+N}, {1, 1}},
295 {{1, 1}, {1, 1+N}, {3, 3}, {3, 3}}, // first-middle middle-last coincident
296 {{1, 1}, {2+N/2, 2}, {3, 3}, {4, 4}}, // no coincident (FIXME: N as opposed to N/2 failed)
297 {{1, 1}, {3, 3}, {2, 2}, {4, 4+N}},
298 {{1, 1+N}, {2, 2}, {4, 4}, {3, 3}},
299 {{1, 1}, {3, 3}, {4, 4+N}, {2, 2}},
300 {{1, 1}, {4, 4}, {2, 2}, {3, 3+N}},
301 {{1, 1}, {4, 4}, {3, 3}, {2+M, 2}}, // INVESTIGATE: why the epsilon is smaller
302 {{2, 2}, {1, 1}, {3+N, 3}, {4, 4}},
303 {{2, 2}, {1+N, 1}, {4, 4}, {3, 3}},
304 {{2, 2+N}, {3, 3}, {1, 1}, {4, 4}},
305 {{2+M, 2}, {3, 3}, {4, 4}, {1, 1}}, // INVESTIGATE: why the epsilon is smaller
306 {{2, 2}, {4+N, 4}, {1, 1}, {3, 3}},
307 {{2, 2}, {4, 4}, {3, 3}, {1, 1+N}},
308 };
309
310 const size_t negEpsilonLines_count = sizeof(negEpsilonLines) / sizeof(negEpsilonLines[0]);
311