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[chromium-blink-merge.git] / ui / gfx / geometry / quad_unittest.cc
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1 // Copyright (c) 2012 The Chromium Authors. All rights reserved.
2 // Use of this source code is governed by a BSD-style license that can be
3 // found in the LICENSE file.
4
5 #include "base/basictypes.h"
6 #include "testing/gtest/include/gtest/gtest.h"
7 #include "ui/gfx/geometry/quad_f.h"
8 #include "ui/gfx/geometry/rect_f.h"
9
10 namespace gfx {
11
12 TEST(QuadTest, Construction) {
13 // Verify constructors.
14 PointF a(1, 1);
15 PointF b(2, 1);
16 PointF c(2, 2);
17 PointF d(1, 2);
18 PointF e;
19 QuadF q1;
20 QuadF q2(e, e, e, e);
21 QuadF q3(a, b, c, d);
22 QuadF q4(BoundingRect(a, c));
23 EXPECT_EQ(q1, q2);
24 EXPECT_EQ(q3, q4);
25
26 // Verify getters.
27 EXPECT_EQ(q3.p1(), a);
28 EXPECT_EQ(q3.p2(), b);
29 EXPECT_EQ(q3.p3(), c);
30 EXPECT_EQ(q3.p4(), d);
31
32 // Verify setters.
33 q3.set_p1(b);
34 q3.set_p2(c);
35 q3.set_p3(d);
36 q3.set_p4(a);
37 EXPECT_EQ(q3.p1(), b);
38 EXPECT_EQ(q3.p2(), c);
39 EXPECT_EQ(q3.p3(), d);
40 EXPECT_EQ(q3.p4(), a);
41
42 // Verify operator=(Rect)
43 EXPECT_NE(q1, q4);
44 q1 = BoundingRect(a, c);
45 EXPECT_EQ(q1, q4);
46
47 // Verify operator=(Quad)
48 EXPECT_NE(q1, q3);
49 q1 = q3;
50 EXPECT_EQ(q1, q3);
51 }
52
53 TEST(QuadTest, AddingVectors) {
54 PointF a(1, 1);
55 PointF b(2, 1);
56 PointF c(2, 2);
57 PointF d(1, 2);
58 Vector2dF v(3.5f, -2.5f);
59
60 QuadF q1(a, b, c, d);
61 QuadF added = q1 + v;
62 q1 += v;
63 QuadF expected1(PointF(4.5f, -1.5f),
64 PointF(5.5f, -1.5f),
65 PointF(5.5f, -0.5f),
66 PointF(4.5f, -0.5f));
67 EXPECT_EQ(expected1, added);
68 EXPECT_EQ(expected1, q1);
69
70 QuadF q2(a, b, c, d);
71 QuadF subtracted = q2 - v;
72 q2 -= v;
73 QuadF expected2(PointF(-2.5f, 3.5f),
74 PointF(-1.5f, 3.5f),
75 PointF(-1.5f, 4.5f),
76 PointF(-2.5f, 4.5f));
77 EXPECT_EQ(expected2, subtracted);
78 EXPECT_EQ(expected2, q2);
79
80 QuadF q3(a, b, c, d);
81 q3 += v;
82 q3 -= v;
83 EXPECT_EQ(QuadF(a, b, c, d), q3);
84 EXPECT_EQ(q3, (q3 + v - v));
85 }
86
87 TEST(QuadTest, IsRectilinear) {
88 PointF a(1, 1);
89 PointF b(2, 1);
90 PointF c(2, 2);
91 PointF d(1, 2);
92 Vector2dF v(3.5f, -2.5f);
93
94 EXPECT_TRUE(QuadF().IsRectilinear());
95 EXPECT_TRUE(QuadF(a, b, c, d).IsRectilinear());
96 EXPECT_TRUE((QuadF(a, b, c, d) + v).IsRectilinear());
97
98 float epsilon = std::numeric_limits<float>::epsilon();
99 PointF a2(1 + epsilon / 2, 1 + epsilon / 2);
100 PointF b2(2 + epsilon / 2, 1 + epsilon / 2);
101 PointF c2(2 + epsilon / 2, 2 + epsilon / 2);
102 PointF d2(1 + epsilon / 2, 2 + epsilon / 2);
103 EXPECT_TRUE(QuadF(a2, b, c, d).IsRectilinear());
104 EXPECT_TRUE((QuadF(a2, b, c, d) + v).IsRectilinear());
105 EXPECT_TRUE(QuadF(a, b2, c, d).IsRectilinear());
106 EXPECT_TRUE((QuadF(a, b2, c, d) + v).IsRectilinear());
107 EXPECT_TRUE(QuadF(a, b, c2, d).IsRectilinear());
108 EXPECT_TRUE((QuadF(a, b, c2, d) + v).IsRectilinear());
109 EXPECT_TRUE(QuadF(a, b, c, d2).IsRectilinear());
110 EXPECT_TRUE((QuadF(a, b, c, d2) + v).IsRectilinear());
111
112 struct {
113 PointF a_off, b_off, c_off, d_off;
114 } tests[] = {
115 {
116 PointF(1, 1.00001f),
117 PointF(2, 1.00001f),
118 PointF(2, 2.00001f),
119 PointF(1, 2.00001f)
120 },
121 {
122 PointF(1.00001f, 1),
123 PointF(2.00001f, 1),
124 PointF(2.00001f, 2),
125 PointF(1.00001f, 2)
126 },
127 {
128 PointF(1.00001f, 1.00001f),
129 PointF(2.00001f, 1.00001f),
130 PointF(2.00001f, 2.00001f),
131 PointF(1.00001f, 2.00001f)
132 },
133 {
134 PointF(1, 0.99999f),
135 PointF(2, 0.99999f),
136 PointF(2, 1.99999f),
137 PointF(1, 1.99999f)
138 },
139 {
140 PointF(0.99999f, 1),
141 PointF(1.99999f, 1),
142 PointF(1.99999f, 2),
143 PointF(0.99999f, 2)
144 },
145 {
146 PointF(0.99999f, 0.99999f),
147 PointF(1.99999f, 0.99999f),
148 PointF(1.99999f, 1.99999f),
149 PointF(0.99999f, 1.99999f)
150 }
151 };
152
153 for (size_t i = 0; i < ARRAYSIZE_UNSAFE(tests); ++i) {
154 PointF a_off = tests[i].a_off;
155 PointF b_off = tests[i].b_off;
156 PointF c_off = tests[i].c_off;
157 PointF d_off = tests[i].d_off;
158
159 EXPECT_FALSE(QuadF(a_off, b, c, d).IsRectilinear());
160 EXPECT_FALSE((QuadF(a_off, b, c, d) + v).IsRectilinear());
161 EXPECT_FALSE(QuadF(a, b_off, c, d).IsRectilinear());
162 EXPECT_FALSE((QuadF(a, b_off, c, d) + v).IsRectilinear());
163 EXPECT_FALSE(QuadF(a, b, c_off, d).IsRectilinear());
164 EXPECT_FALSE((QuadF(a, b, c_off, d) + v).IsRectilinear());
165 EXPECT_FALSE(QuadF(a, b, c, d_off).IsRectilinear());
166 EXPECT_FALSE((QuadF(a, b, c, d_off) + v).IsRectilinear());
167 EXPECT_FALSE(QuadF(a_off, b, c_off, d).IsRectilinear());
168 EXPECT_FALSE((QuadF(a_off, b, c_off, d) + v).IsRectilinear());
169 EXPECT_FALSE(QuadF(a, b_off, c, d_off).IsRectilinear());
170 EXPECT_FALSE((QuadF(a, b_off, c, d_off) + v).IsRectilinear());
171 EXPECT_FALSE(QuadF(a, b_off, c_off, d_off).IsRectilinear());
172 EXPECT_FALSE((QuadF(a, b_off, c_off, d_off) + v).IsRectilinear());
173 EXPECT_FALSE(QuadF(a_off, b, c_off, d_off).IsRectilinear());
174 EXPECT_FALSE((QuadF(a_off, b, c_off, d_off) + v).IsRectilinear());
175 EXPECT_FALSE(QuadF(a_off, b_off, c, d_off).IsRectilinear());
176 EXPECT_FALSE((QuadF(a_off, b_off, c, d_off) + v).IsRectilinear());
177 EXPECT_FALSE(QuadF(a_off, b_off, c_off, d).IsRectilinear());
178 EXPECT_FALSE((QuadF(a_off, b_off, c_off, d) + v).IsRectilinear());
179 EXPECT_TRUE(QuadF(a_off, b_off, c_off, d_off).IsRectilinear());
180 EXPECT_TRUE((QuadF(a_off, b_off, c_off, d_off) + v).IsRectilinear());
181 }
182 }
183
184 TEST(QuadTest, IsCounterClockwise) {
185 PointF a1(1, 1);
186 PointF b1(2, 1);
187 PointF c1(2, 2);
188 PointF d1(1, 2);
189 EXPECT_FALSE(QuadF(a1, b1, c1, d1).IsCounterClockwise());
190 EXPECT_FALSE(QuadF(b1, c1, d1, a1).IsCounterClockwise());
191 EXPECT_TRUE(QuadF(a1, d1, c1, b1).IsCounterClockwise());
192 EXPECT_TRUE(QuadF(c1, b1, a1, d1).IsCounterClockwise());
193
194 // Slightly more complicated quads should work just as easily.
195 PointF a2(1.3f, 1.4f);
196 PointF b2(-0.7f, 4.9f);
197 PointF c2(1.8f, 6.2f);
198 PointF d2(2.1f, 1.6f);
199 EXPECT_TRUE(QuadF(a2, b2, c2, d2).IsCounterClockwise());
200 EXPECT_TRUE(QuadF(b2, c2, d2, a2).IsCounterClockwise());
201 EXPECT_FALSE(QuadF(a2, d2, c2, b2).IsCounterClockwise());
202 EXPECT_FALSE(QuadF(c2, b2, a2, d2).IsCounterClockwise());
203
204 // Quads with 3 collinear points should work correctly, too.
205 PointF a3(0, 0);
206 PointF b3(1, 0);
207 PointF c3(2, 0);
208 PointF d3(1, 1);
209 EXPECT_FALSE(QuadF(a3, b3, c3, d3).IsCounterClockwise());
210 EXPECT_FALSE(QuadF(b3, c3, d3, a3).IsCounterClockwise());
211 EXPECT_TRUE(QuadF(a3, d3, c3, b3).IsCounterClockwise());
212 // The next expectation in particular would fail for an implementation
213 // that incorrectly uses only a cross product of the first 3 vertices.
214 EXPECT_TRUE(QuadF(c3, b3, a3, d3).IsCounterClockwise());
215
216 // Non-convex quads should work correctly, too.
217 PointF a4(0, 0);
218 PointF b4(1, 1);
219 PointF c4(2, 0);
220 PointF d4(1, 3);
221 EXPECT_FALSE(QuadF(a4, b4, c4, d4).IsCounterClockwise());
222 EXPECT_FALSE(QuadF(b4, c4, d4, a4).IsCounterClockwise());
223 EXPECT_TRUE(QuadF(a4, d4, c4, b4).IsCounterClockwise());
224 EXPECT_TRUE(QuadF(c4, b4, a4, d4).IsCounterClockwise());
225
226 // A quad with huge coordinates should not fail this check due to
227 // single-precision overflow.
228 PointF a5(1e30f, 1e30f);
229 PointF b5(1e35f, 1e30f);
230 PointF c5(1e35f, 1e35f);
231 PointF d5(1e30f, 1e35f);
232 EXPECT_FALSE(QuadF(a5, b5, c5, d5).IsCounterClockwise());
233 EXPECT_FALSE(QuadF(b5, c5, d5, a5).IsCounterClockwise());
234 EXPECT_TRUE(QuadF(a5, d5, c5, b5).IsCounterClockwise());
235 EXPECT_TRUE(QuadF(c5, b5, a5, d5).IsCounterClockwise());
236 }
237
238 TEST(QuadTest, BoundingBox) {
239 RectF r(3.2f, 5.4f, 7.007f, 12.01f);
240 EXPECT_EQ(r, QuadF(r).BoundingBox());
241
242 PointF a(1.3f, 1.4f);
243 PointF b(-0.7f, 4.9f);
244 PointF c(1.8f, 6.2f);
245 PointF d(2.1f, 1.6f);
246 float left = -0.7f;
247 float top = 1.4f;
248 float right = 2.1f;
249 float bottom = 6.2f;
250 EXPECT_EQ(RectF(left, top, right - left, bottom - top),
251 QuadF(a, b, c, d).BoundingBox());
252 }
253
254 TEST(QuadTest, ContainsPoint) {
255 PointF a(1.3f, 1.4f);
256 PointF b(-0.8f, 4.4f);
257 PointF c(1.8f, 6.1f);
258 PointF d(2.1f, 1.6f);
259
260 Vector2dF epsilon_x(2 * std::numeric_limits<float>::epsilon(), 0);
261 Vector2dF epsilon_y(0, 2 * std::numeric_limits<float>::epsilon());
262
263 Vector2dF ac_center = c - a;
264 ac_center.Scale(0.5f);
265 Vector2dF bd_center = d - b;
266 bd_center.Scale(0.5f);
267
268 EXPECT_TRUE(QuadF(a, b, c, d).Contains(a + ac_center));
269 EXPECT_TRUE(QuadF(a, b, c, d).Contains(b + bd_center));
270 EXPECT_TRUE(QuadF(a, b, c, d).Contains(c - ac_center));
271 EXPECT_TRUE(QuadF(a, b, c, d).Contains(d - bd_center));
272 EXPECT_FALSE(QuadF(a, b, c, d).Contains(a - ac_center));
273 EXPECT_FALSE(QuadF(a, b, c, d).Contains(b - bd_center));
274 EXPECT_FALSE(QuadF(a, b, c, d).Contains(c + ac_center));
275 EXPECT_FALSE(QuadF(a, b, c, d).Contains(d + bd_center));
276
277 EXPECT_TRUE(QuadF(a, b, c, d).Contains(a));
278 EXPECT_FALSE(QuadF(a, b, c, d).Contains(a - epsilon_x));
279 EXPECT_FALSE(QuadF(a, b, c, d).Contains(a - epsilon_y));
280 EXPECT_FALSE(QuadF(a, b, c, d).Contains(a + epsilon_x));
281 EXPECT_TRUE(QuadF(a, b, c, d).Contains(a + epsilon_y));
282
283 EXPECT_TRUE(QuadF(a, b, c, d).Contains(b));
284 EXPECT_FALSE(QuadF(a, b, c, d).Contains(b - epsilon_x));
285 EXPECT_FALSE(QuadF(a, b, c, d).Contains(b - epsilon_y));
286 EXPECT_TRUE(QuadF(a, b, c, d).Contains(b + epsilon_x));
287 EXPECT_FALSE(QuadF(a, b, c, d).Contains(b + epsilon_y));
288
289 EXPECT_TRUE(QuadF(a, b, c, d).Contains(c));
290 EXPECT_FALSE(QuadF(a, b, c, d).Contains(c - epsilon_x));
291 EXPECT_TRUE(QuadF(a, b, c, d).Contains(c - epsilon_y));
292 EXPECT_FALSE(QuadF(a, b, c, d).Contains(c + epsilon_x));
293 EXPECT_FALSE(QuadF(a, b, c, d).Contains(c + epsilon_y));
294
295 EXPECT_TRUE(QuadF(a, b, c, d).Contains(d));
296 EXPECT_TRUE(QuadF(a, b, c, d).Contains(d - epsilon_x));
297 EXPECT_FALSE(QuadF(a, b, c, d).Contains(d - epsilon_y));
298 EXPECT_FALSE(QuadF(a, b, c, d).Contains(d + epsilon_x));
299 EXPECT_FALSE(QuadF(a, b, c, d).Contains(d + epsilon_y));
300
301 // Test a simple square.
302 PointF s1(-1, -1);
303 PointF s2(1, -1);
304 PointF s3(1, 1);
305 PointF s4(-1, 1);
306 // Top edge.
307 EXPECT_FALSE(QuadF(s1, s2, s3, s4).Contains(PointF(-1.1f, -1.0f)));
308 EXPECT_TRUE(QuadF(s1, s2, s3, s4).Contains(PointF(-1.0f, -1.0f)));
309 EXPECT_TRUE(QuadF(s1, s2, s3, s4).Contains(PointF(0.0f, -1.0f)));
310 EXPECT_TRUE(QuadF(s1, s2, s3, s4).Contains(PointF(1.0f, -1.0f)));
311 EXPECT_FALSE(QuadF(s1, s2, s3, s4).Contains(PointF(1.1f, -1.0f)));
312 // Bottom edge.
313 EXPECT_FALSE(QuadF(s1, s2, s3, s4).Contains(PointF(-1.1f, 1.0f)));
314 EXPECT_TRUE(QuadF(s1, s2, s3, s4).Contains(PointF(-1.0f, 1.0f)));
315 EXPECT_TRUE(QuadF(s1, s2, s3, s4).Contains(PointF(0.0f, 1.0f)));
316 EXPECT_TRUE(QuadF(s1, s2, s3, s4).Contains(PointF(1.0f, 1.0f)));
317 EXPECT_FALSE(QuadF(s1, s2, s3, s4).Contains(PointF(1.1f, 1.0f)));
318 // Left edge.
319 EXPECT_FALSE(QuadF(s1, s2, s3, s4).Contains(PointF(-1.0f, -1.1f)));
320 EXPECT_TRUE(QuadF(s1, s2, s3, s4).Contains(PointF(-1.0f, -1.0f)));
321 EXPECT_TRUE(QuadF(s1, s2, s3, s4).Contains(PointF(-1.0f, 0.0f)));
322 EXPECT_TRUE(QuadF(s1, s2, s3, s4).Contains(PointF(-1.0f, 1.0f)));
323 EXPECT_FALSE(QuadF(s1, s2, s3, s4).Contains(PointF(-1.0f, 1.1f)));
324 // Right edge.
325 EXPECT_FALSE(QuadF(s1, s2, s3, s4).Contains(PointF(1.0f, -1.1f)));
326 EXPECT_TRUE(QuadF(s1, s2, s3, s4).Contains(PointF(1.0f, -1.0f)));
327 EXPECT_TRUE(QuadF(s1, s2, s3, s4).Contains(PointF(1.0f, 0.0f)));
328 EXPECT_TRUE(QuadF(s1, s2, s3, s4).Contains(PointF(1.0f, 1.0f)));
329 EXPECT_FALSE(QuadF(s1, s2, s3, s4).Contains(PointF(1.0f, 1.1f)));
330 // Centered inside.
331 EXPECT_TRUE(QuadF(s1, s2, s3, s4).Contains(PointF(0, 0)));
332 // Centered outside.
333 EXPECT_FALSE(QuadF(s1, s2, s3, s4).Contains(PointF(-1.1f, 0)));
334 EXPECT_FALSE(QuadF(s1, s2, s3, s4).Contains(PointF(1.1f, 0)));
335 EXPECT_FALSE(QuadF(s1, s2, s3, s4).Contains(PointF(0, -1.1f)));
336 EXPECT_FALSE(QuadF(s1, s2, s3, s4).Contains(PointF(0, 1.1f)));
337 }
338
339 TEST(QuadTest, Scale) {
340 PointF a(1.3f, 1.4f);
341 PointF b(-0.8f, 4.4f);
342 PointF c(1.8f, 6.1f);
343 PointF d(2.1f, 1.6f);
344 QuadF q1(a, b, c, d);
345 q1.Scale(1.5f);
346
347 PointF a_scaled = ScalePoint(a, 1.5f);
348 PointF b_scaled = ScalePoint(b, 1.5f);
349 PointF c_scaled = ScalePoint(c, 1.5f);
350 PointF d_scaled = ScalePoint(d, 1.5f);
351 EXPECT_EQ(q1, QuadF(a_scaled, b_scaled, c_scaled, d_scaled));
352
353 QuadF q2;
354 q2.Scale(1.5f);
355 EXPECT_EQ(q2, q2);
356 }
357
358 } // namespace gfx