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 359