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| 1 // Copyright 2012 The Chromium Authors. All rights reserved. | 1 // Copyright 2012 The Chromium Authors. All rights reserved. |
| 2 // Use of this source code is governed by a BSD-style license that can be | 2 // Use of this source code is governed by a BSD-style license that can be |
| 3 // found in the LICENSE file. | 3 // found in the LICENSE file. |
| 4 | 4 |
| 5 #include "cc/math_util.h" | 5 #include "cc/math_util.h" |
| 6 | 6 |
| 7 #include <cmath> | 7 #include <cmath> |
| 8 | 8 |
| 9 #include "cc/test/geometry_test_utils.h" | 9 #include "cc/test/geometry_test_utils.h" |
| 10 #include "testing/gmock/include/gmock/gmock.h" | 10 #include "testing/gmock/include/gmock/gmock.h" |
| 11 #include "testing/gtest/include/gtest/gtest.h" | 11 #include "testing/gtest/include/gtest/gtest.h" |
| 12 #include "ui/gfx/rect.h" | 12 #include "ui/gfx/rect.h" |
| 13 #include "ui/gfx/rect_f.h" | 13 #include "ui/gfx/rect_f.h" |
| 14 #include "ui/gfx/transform.h" | 14 #include "ui/gfx/transform.h" |
| 15 | 15 |
| 16 namespace cc { | 16 namespace cc { |
| 17 namespace { | 17 namespace { |
| 18 | 18 |
| 19 TEST(MathUtilTest, verifyBackfaceVisibilityBasicCases) | |
| 20 { | |
| 21 gfx::Transform transform; | |
| 22 | |
| 23 transform.MakeIdentity(); | |
| 24 EXPECT_FALSE(transform.IsBackFaceVisible()); | |
| 25 | |
| 26 transform.MakeIdentity(); | |
| 27 MathUtil::rotateEulerAngles(&transform, 0, 80, 0); | |
| 28 EXPECT_FALSE(transform.IsBackFaceVisible()); | |
| 29 | |
| 30 transform.MakeIdentity(); | |
| 31 MathUtil::rotateEulerAngles(&transform, 0, 100, 0); | |
| 32 EXPECT_TRUE(transform.IsBackFaceVisible()); | |
| 33 | |
| 34 // Edge case, 90 degree rotation should return false. | |
| 35 transform.MakeIdentity(); | |
| 36 MathUtil::rotateEulerAngles(&transform, 0, 90, 0); | |
| 37 EXPECT_FALSE(transform.IsBackFaceVisible()); | |
| 38 } | |
| 39 | |
| 40 TEST(MathUtilTest, verifyBackfaceVisibilityForPerspective) | |
| 41 { | |
| 42 gfx::Transform layerSpaceToProjectionPlane; | |
| 43 | |
| 44 // This tests if IsBackFaceVisible works properly under perspective transfor
ms. | |
| 45 // Specifically, layers that may have their back face visible in orthographi
c | |
| 46 // projection, may not actually have back face visible under perspective pro
jection. | |
| 47 | |
| 48 // Case 1: Layer is rotated by slightly more than 90 degrees, at the center
of the | |
| 49 // prespective projection. In this case, the layer's back-side is vi
sible to | |
| 50 // the camera. | |
| 51 layerSpaceToProjectionPlane.MakeIdentity(); | |
| 52 layerSpaceToProjectionPlane.ApplyPerspectiveDepth(1); | |
| 53 layerSpaceToProjectionPlane.Translate3d(0, 0, 0); | |
| 54 MathUtil::rotateEulerAngles(&layerSpaceToProjectionPlane, 0, 100, 0); | |
| 55 EXPECT_TRUE(layerSpaceToProjectionPlane.IsBackFaceVisible()); | |
| 56 | |
| 57 // Case 2: Layer is rotated by slightly more than 90 degrees, but shifted of
f to the | |
| 58 // side of the camera. Because of the wide field-of-view, the layer'
s front | |
| 59 // side is still visible. | |
| 60 // | |
| 61 // |<-- front side of layer is visible to perspective
camera | |
| 62 // \ | / | |
| 63 // \ | / | |
| 64 // \| / | |
| 65 // | / | |
| 66 // |\ /<-- camera field of view | |
| 67 // | \ / | |
| 68 // back side of layer -->| \ / | |
| 69 // \./ <-- camera origin | |
| 70 // | |
| 71 layerSpaceToProjectionPlane.MakeIdentity(); | |
| 72 layerSpaceToProjectionPlane.ApplyPerspectiveDepth(1); | |
| 73 layerSpaceToProjectionPlane.Translate3d(-10, 0, 0); | |
| 74 MathUtil::rotateEulerAngles(&layerSpaceToProjectionPlane, 0, 100, 0); | |
| 75 EXPECT_FALSE(layerSpaceToProjectionPlane.IsBackFaceVisible()); | |
| 76 | |
| 77 // Case 3: Additionally rotating the layer by 180 degrees should of course s
how the | |
| 78 // opposite result of case 2. | |
| 79 MathUtil::rotateEulerAngles(&layerSpaceToProjectionPlane, 0, 180, 0); | |
| 80 EXPECT_TRUE(layerSpaceToProjectionPlane.IsBackFaceVisible()); | |
| 81 } | |
| 82 | |
| 83 TEST(MathUtilTest, verifyProjectionOfPerpendicularPlane) | 19 TEST(MathUtilTest, verifyProjectionOfPerpendicularPlane) |
| 84 { | 20 { |
| 85 // In this case, the m33() element of the transform becomes zero, which coul
d cause a | 21 // In this case, the m33() element of the transform becomes zero, which coul
d cause a |
| 86 // divide-by-zero when projecting points/quads. | 22 // divide-by-zero when projecting points/quads. |
| 87 | 23 |
| 88 gfx::Transform transform; | 24 gfx::Transform transform; |
| 89 transform.MakeIdentity(); | 25 transform.MakeIdentity(); |
| 90 transform.matrix().setDouble(2, 2, 0); | 26 transform.matrix().setDouble(2, 2, 0); |
| 91 | 27 |
| 92 gfx::RectF rect = gfx::RectF(0, 0, 1, 1); | 28 gfx::RectF rect = gfx::RectF(0, 0, 1, 1); |
| (...skipping 78 matching lines...) Expand 10 before | Expand all | Expand 10 after Loading... |
| 171 EXPECT_VECTOR_EQ(gfx::Vector2dF(0, testVector.y()), MathUtil::projectVector(
testVector, y)); | 107 EXPECT_VECTOR_EQ(gfx::Vector2dF(0, testVector.y()), MathUtil::projectVector(
testVector, y)); |
| 172 | 108 |
| 173 // Finally check than an arbitrary vector projected to another one gives a v
ector parallel to | 109 // Finally check than an arbitrary vector projected to another one gives a v
ector parallel to |
| 174 // the second vector. | 110 // the second vector. |
| 175 gfx::Vector2dF targetVector(0.5, 0.2f); | 111 gfx::Vector2dF targetVector(0.5, 0.2f); |
| 176 gfx::Vector2dF projectedVector = MathUtil::projectVector(testVector, targetV
ector); | 112 gfx::Vector2dF projectedVector = MathUtil::projectVector(testVector, targetV
ector); |
| 177 EXPECT_EQ(projectedVector.x() / targetVector.x(), | 113 EXPECT_EQ(projectedVector.x() / targetVector.x(), |
| 178 projectedVector.y() / targetVector.y()); | 114 projectedVector.y() / targetVector.y()); |
| 179 } | 115 } |
| 180 | 116 |
| 181 // TODO(shawnsingh): these macros are redundant with those from | |
| 182 // web_transformation_matrix_unittests, but for now they | |
| 183 // are different enough to be appropriate here. | |
| 184 | |
| 185 #define EXPECT_ROW1_EQ(a, b, c, d, transform) \ | |
| 186 EXPECT_FLOAT_EQ((a), (transform).matrix().getDouble(0, 0)); \ | |
| 187 EXPECT_FLOAT_EQ((b), (transform).matrix().getDouble(0, 1)); \ | |
| 188 EXPECT_FLOAT_EQ((c), (transform).matrix().getDouble(0, 2)); \ | |
| 189 EXPECT_FLOAT_EQ((d), (transform).matrix().getDouble(0, 3)); | |
| 190 | |
| 191 #define EXPECT_ROW2_EQ(a, b, c, d, transform) \ | |
| 192 EXPECT_FLOAT_EQ((a), (transform).matrix().getDouble(1, 0)); \ | |
| 193 EXPECT_FLOAT_EQ((b), (transform).matrix().getDouble(1, 1)); \ | |
| 194 EXPECT_FLOAT_EQ((c), (transform).matrix().getDouble(1, 2)); \ | |
| 195 EXPECT_FLOAT_EQ((d), (transform).matrix().getDouble(1, 3)); | |
| 196 | |
| 197 #define EXPECT_ROW3_EQ(a, b, c, d, transform) \ | |
| 198 EXPECT_FLOAT_EQ((a), (transform).matrix().getDouble(2, 0)); \ | |
| 199 EXPECT_FLOAT_EQ((b), (transform).matrix().getDouble(2, 1)); \ | |
| 200 EXPECT_FLOAT_EQ((c), (transform).matrix().getDouble(2, 2)); \ | |
| 201 EXPECT_FLOAT_EQ((d), (transform).matrix().getDouble(2, 3)); | |
| 202 | |
| 203 #define EXPECT_ROW4_EQ(a, b, c, d, transform) \ | |
| 204 EXPECT_FLOAT_EQ((a), (transform).matrix().getDouble(3, 0)); \ | |
| 205 EXPECT_FLOAT_EQ((b), (transform).matrix().getDouble(3, 1)); \ | |
| 206 EXPECT_FLOAT_EQ((c), (transform).matrix().getDouble(3, 2)); \ | |
| 207 EXPECT_FLOAT_EQ((d), (transform).matrix().getDouble(3, 3)); | |
| 208 | |
| 209 // Checking float values for equality close to zero is not robust using EXPECT_F
LOAT_EQ | |
| 210 // (see gtest documentation). So, to verify rotation matrices, we must use a loo
ser | |
| 211 // absolute error threshold in some places. | |
| 212 #define EXPECT_ROW1_NEAR(a, b, c, d, transform, errorThreshold) \ | |
| 213 EXPECT_NEAR((a), (transform).matrix().getDouble(0, 0), (errorThreshold));
\ | |
| 214 EXPECT_NEAR((b), (transform).matrix().getDouble(0, 1), (errorThreshold));
\ | |
| 215 EXPECT_NEAR((c), (transform).matrix().getDouble(0, 2), (errorThreshold));
\ | |
| 216 EXPECT_NEAR((d), (transform).matrix().getDouble(0, 3), (errorThreshold)); | |
| 217 | |
| 218 #define EXPECT_ROW2_NEAR(a, b, c, d, transform, errorThreshold) \ | |
| 219 EXPECT_NEAR((a), (transform).matrix().getDouble(1, 0), (errorThreshold));
\ | |
| 220 EXPECT_NEAR((b), (transform).matrix().getDouble(1, 1), (errorThreshold));
\ | |
| 221 EXPECT_NEAR((c), (transform).matrix().getDouble(1, 2), (errorThreshold));
\ | |
| 222 EXPECT_NEAR((d), (transform).matrix().getDouble(1, 3), (errorThreshold)); | |
| 223 | |
| 224 #define EXPECT_ROW3_NEAR(a, b, c, d, transform, errorThreshold) \ | |
| 225 EXPECT_NEAR((a), (transform).matrix().getDouble(2, 0), (errorThreshold));
\ | |
| 226 EXPECT_NEAR((b), (transform).matrix().getDouble(2, 1), (errorThreshold));
\ | |
| 227 EXPECT_NEAR((c), (transform).matrix().getDouble(2, 2), (errorThreshold));
\ | |
| 228 EXPECT_NEAR((d), (transform).matrix().getDouble(2, 3), (errorThreshold)); | |
| 229 | |
| 230 #define ERROR_THRESHOLD 1e-14 | |
| 231 #define LOOSE_ERROR_THRESHOLD 1e-7 | |
| 232 | |
| 233 static void initializeTestMatrix(gfx::Transform* transform) | |
| 234 { | |
| 235 SkMatrix44& matrix = transform->matrix(); | |
| 236 matrix.setDouble(0, 0, 10); | |
| 237 matrix.setDouble(1, 0, 11); | |
| 238 matrix.setDouble(2, 0, 12); | |
| 239 matrix.setDouble(3, 0, 13); | |
| 240 matrix.setDouble(0, 1, 14); | |
| 241 matrix.setDouble(1, 1, 15); | |
| 242 matrix.setDouble(2, 1, 16); | |
| 243 matrix.setDouble(3, 1, 17); | |
| 244 matrix.setDouble(0, 2, 18); | |
| 245 matrix.setDouble(1, 2, 19); | |
| 246 matrix.setDouble(2, 2, 20); | |
| 247 matrix.setDouble(3, 2, 21); | |
| 248 matrix.setDouble(0, 3, 22); | |
| 249 matrix.setDouble(1, 3, 23); | |
| 250 matrix.setDouble(2, 3, 24); | |
| 251 matrix.setDouble(3, 3, 25); | |
| 252 | |
| 253 // Sanity check | |
| 254 EXPECT_ROW1_EQ(10, 14, 18, 22, (*transform)); | |
| 255 EXPECT_ROW2_EQ(11, 15, 19, 23, (*transform)); | |
| 256 EXPECT_ROW3_EQ(12, 16, 20, 24, (*transform)); | |
| 257 EXPECT_ROW4_EQ(13, 17, 21, 25, (*transform)); | |
| 258 } | |
| 259 | |
| 260 static void initializeTestMatrix2(gfx::Transform* transform) | |
| 261 { | |
| 262 SkMatrix44& matrix = transform->matrix(); | |
| 263 matrix.setDouble(0, 0, 30); | |
| 264 matrix.setDouble(1, 0, 31); | |
| 265 matrix.setDouble(2, 0, 32); | |
| 266 matrix.setDouble(3, 0, 33); | |
| 267 matrix.setDouble(0, 1, 34); | |
| 268 matrix.setDouble(1, 1, 35); | |
| 269 matrix.setDouble(2, 1, 36); | |
| 270 matrix.setDouble(3, 1, 37); | |
| 271 matrix.setDouble(0, 2, 38); | |
| 272 matrix.setDouble(1, 2, 39); | |
| 273 matrix.setDouble(2, 2, 40); | |
| 274 matrix.setDouble(3, 2, 41); | |
| 275 matrix.setDouble(0, 3, 42); | |
| 276 matrix.setDouble(1, 3, 43); | |
| 277 matrix.setDouble(2, 3, 44); | |
| 278 matrix.setDouble(3, 3, 45); | |
| 279 | |
| 280 // Sanity check | |
| 281 EXPECT_ROW1_EQ(30, 34, 38, 42, (*transform)); | |
| 282 EXPECT_ROW2_EQ(31, 35, 39, 43, (*transform)); | |
| 283 EXPECT_ROW3_EQ(32, 36, 40, 44, (*transform)); | |
| 284 EXPECT_ROW4_EQ(33, 37, 41, 45, (*transform)); | |
| 285 } | |
| 286 | |
| 287 TEST(MathUtilGfxTransformTest, verifyDefaultConstructorCreatesIdentityMatrix) | |
| 288 { | |
| 289 gfx::Transform A; | |
| 290 EXPECT_ROW1_EQ(1, 0, 0, 0, A); | |
| 291 EXPECT_ROW2_EQ(0, 1, 0, 0, A); | |
| 292 EXPECT_ROW3_EQ(0, 0, 1, 0, A); | |
| 293 EXPECT_ROW4_EQ(0, 0, 0, 1, A); | |
| 294 EXPECT_TRUE(A.IsIdentity()); | |
| 295 } | |
| 296 | |
| 297 TEST(MathUtilGfxTransformTest, verifyCreateGfxTransformFor2dElements) | |
| 298 { | |
| 299 gfx::Transform A = MathUtil::createGfxTransform(1, 2, 3, 4, 5, 6); | |
| 300 EXPECT_ROW1_EQ(1, 3, 0, 5, A); | |
| 301 EXPECT_ROW2_EQ(2, 4, 0, 6, A); | |
| 302 EXPECT_ROW3_EQ(0, 0, 1, 0, A); | |
| 303 EXPECT_ROW4_EQ(0, 0, 0, 1, A); | |
| 304 } | |
| 305 | |
| 306 TEST(MathUtilGfxTransformTest, verifyCreateGfxTransformForAllElements) | |
| 307 { | |
| 308 gfx::Transform A = MathUtil::createGfxTransform(1, 2, 3, 4, 5, 6, 7, 8, 9, 1
0, 11, 12, 13, 14, 15, 16); | |
| 309 EXPECT_ROW1_EQ(1, 5, 9, 13, A); | |
| 310 EXPECT_ROW2_EQ(2, 6, 10, 14, A); | |
| 311 EXPECT_ROW3_EQ(3, 7, 11, 15, A); | |
| 312 EXPECT_ROW4_EQ(4, 8, 12, 16, A); | |
| 313 } | |
| 314 | |
| 315 TEST(MathUtilGfxTransformTest, verifyCopyConstructor) | |
| 316 { | |
| 317 gfx::Transform A; | |
| 318 initializeTestMatrix(&A); | |
| 319 | |
| 320 // Copy constructor should produce exact same elements as matrix A. | |
| 321 gfx::Transform B(A); | |
| 322 EXPECT_ROW1_EQ(10, 14, 18, 22, B); | |
| 323 EXPECT_ROW2_EQ(11, 15, 19, 23, B); | |
| 324 EXPECT_ROW3_EQ(12, 16, 20, 24, B); | |
| 325 EXPECT_ROW4_EQ(13, 17, 21, 25, B); | |
| 326 } | |
| 327 | |
| 328 TEST(MathUtilGfxTransformTest, verifyTo2DTransform) | |
| 329 { | |
| 330 gfx::Transform A; | |
| 331 initializeTestMatrix(&A); | |
| 332 | |
| 333 gfx::Transform B = MathUtil::to2dTransform(A); | |
| 334 | |
| 335 EXPECT_ROW1_EQ(10, 14, 0, 22, B); | |
| 336 EXPECT_ROW2_EQ(11, 15, 0, 23, B); | |
| 337 EXPECT_ROW3_EQ(0, 0, 1, 0, B); | |
| 338 EXPECT_ROW4_EQ(13, 17, 0, 25, B); | |
| 339 | |
| 340 // Note that to2DTransform should not have changed the original matrix. | |
| 341 EXPECT_ROW1_EQ(10, 14, 18, 22, A); | |
| 342 EXPECT_ROW2_EQ(11, 15, 19, 23, A); | |
| 343 EXPECT_ROW3_EQ(12, 16, 20, 24, A); | |
| 344 EXPECT_ROW4_EQ(13, 17, 21, 25, A); | |
| 345 } | |
| 346 | |
| 347 TEST(MathUtilGfxTransformTest, verifyAssignmentOperator) | |
| 348 { | |
| 349 gfx::Transform A; | |
| 350 initializeTestMatrix(&A); | |
| 351 gfx::Transform B; | |
| 352 initializeTestMatrix2(&B); | |
| 353 gfx::Transform C; | |
| 354 initializeTestMatrix2(&C); | |
| 355 C = B = A; | |
| 356 | |
| 357 // Both B and C should now have been re-assigned to the value of A. | |
| 358 EXPECT_ROW1_EQ(10, 14, 18, 22, B); | |
| 359 EXPECT_ROW2_EQ(11, 15, 19, 23, B); | |
| 360 EXPECT_ROW3_EQ(12, 16, 20, 24, B); | |
| 361 EXPECT_ROW4_EQ(13, 17, 21, 25, B); | |
| 362 | |
| 363 EXPECT_ROW1_EQ(10, 14, 18, 22, C); | |
| 364 EXPECT_ROW2_EQ(11, 15, 19, 23, C); | |
| 365 EXPECT_ROW3_EQ(12, 16, 20, 24, C); | |
| 366 EXPECT_ROW4_EQ(13, 17, 21, 25, C); | |
| 367 } | |
| 368 | |
| 369 TEST(MathUtilGfxTransformTest, verifyEqualsBooleanOperator) | |
| 370 { | |
| 371 gfx::Transform A; | |
| 372 initializeTestMatrix(&A); | |
| 373 | |
| 374 gfx::Transform B; | |
| 375 initializeTestMatrix(&B); | |
| 376 EXPECT_TRUE(A == B); | |
| 377 | |
| 378 // Modifying multiple elements should cause equals operator to return false. | |
| 379 gfx::Transform C; | |
| 380 initializeTestMatrix2(&C); | |
| 381 EXPECT_FALSE(A == C); | |
| 382 | |
| 383 // Modifying any one individual element should cause equals operator to retu
rn false. | |
| 384 gfx::Transform D; | |
| 385 D = A; | |
| 386 D.matrix().setDouble(0, 0, 0); | |
| 387 EXPECT_FALSE(A == D); | |
| 388 | |
| 389 D = A; | |
| 390 D.matrix().setDouble(1, 0, 0); | |
| 391 EXPECT_FALSE(A == D); | |
| 392 | |
| 393 D = A; | |
| 394 D.matrix().setDouble(2, 0, 0); | |
| 395 EXPECT_FALSE(A == D); | |
| 396 | |
| 397 D = A; | |
| 398 D.matrix().setDouble(3, 0, 0); | |
| 399 EXPECT_FALSE(A == D); | |
| 400 | |
| 401 D = A; | |
| 402 D.matrix().setDouble(0, 1, 0); | |
| 403 EXPECT_FALSE(A == D); | |
| 404 | |
| 405 D = A; | |
| 406 D.matrix().setDouble(1, 1, 0); | |
| 407 EXPECT_FALSE(A == D); | |
| 408 | |
| 409 D = A; | |
| 410 D.matrix().setDouble(2, 1, 0); | |
| 411 EXPECT_FALSE(A == D); | |
| 412 | |
| 413 D = A; | |
| 414 D.matrix().setDouble(3, 1, 0); | |
| 415 EXPECT_FALSE(A == D); | |
| 416 | |
| 417 D = A; | |
| 418 D.matrix().setDouble(0, 2, 0); | |
| 419 EXPECT_FALSE(A == D); | |
| 420 | |
| 421 D = A; | |
| 422 D.matrix().setDouble(1, 2, 0); | |
| 423 EXPECT_FALSE(A == D); | |
| 424 | |
| 425 D = A; | |
| 426 D.matrix().setDouble(2, 2, 0); | |
| 427 EXPECT_FALSE(A == D); | |
| 428 | |
| 429 D = A; | |
| 430 D.matrix().setDouble(3, 2, 0); | |
| 431 EXPECT_FALSE(A == D); | |
| 432 | |
| 433 D = A; | |
| 434 D.matrix().setDouble(0, 3, 0); | |
| 435 EXPECT_FALSE(A == D); | |
| 436 | |
| 437 D = A; | |
| 438 D.matrix().setDouble(1, 3, 0); | |
| 439 EXPECT_FALSE(A == D); | |
| 440 | |
| 441 D = A; | |
| 442 D.matrix().setDouble(2, 3, 0); | |
| 443 EXPECT_FALSE(A == D); | |
| 444 | |
| 445 D = A; | |
| 446 D.matrix().setDouble(3, 3, 0); | |
| 447 EXPECT_FALSE(A == D); | |
| 448 } | |
| 449 | |
| 450 TEST(MathUtilGfxTransformTest, verifyMultiplyOperator) | |
| 451 { | |
| 452 gfx::Transform A; | |
| 453 initializeTestMatrix(&A); | |
| 454 | |
| 455 gfx::Transform B; | |
| 456 initializeTestMatrix2(&B); | |
| 457 | |
| 458 gfx::Transform C = A * B; | |
| 459 EXPECT_ROW1_EQ(2036, 2292, 2548, 2804, C); | |
| 460 EXPECT_ROW2_EQ(2162, 2434, 2706, 2978, C); | |
| 461 EXPECT_ROW3_EQ(2288, 2576, 2864, 3152, C); | |
| 462 EXPECT_ROW4_EQ(2414, 2718, 3022, 3326, C); | |
| 463 | |
| 464 // Just an additional sanity check; matrix multiplication is not commutative
. | |
| 465 EXPECT_FALSE(A * B == B * A); | |
| 466 } | |
| 467 | |
| 468 TEST(MathUtilGfxTransformTest, verifyMultiplyAndAssignOperator) | |
| 469 { | |
| 470 gfx::Transform A; | |
| 471 initializeTestMatrix(&A); | |
| 472 | |
| 473 gfx::Transform B; | |
| 474 initializeTestMatrix2(&B); | |
| 475 | |
| 476 A *= B; | |
| 477 EXPECT_ROW1_EQ(2036, 2292, 2548, 2804, A); | |
| 478 EXPECT_ROW2_EQ(2162, 2434, 2706, 2978, A); | |
| 479 EXPECT_ROW3_EQ(2288, 2576, 2864, 3152, A); | |
| 480 EXPECT_ROW4_EQ(2414, 2718, 3022, 3326, A); | |
| 481 | |
| 482 // Just an additional sanity check; matrix multiplication is not commutative
. | |
| 483 gfx::Transform C = A; | |
| 484 C *= B; | |
| 485 gfx::Transform D = B; | |
| 486 D *= A; | |
| 487 EXPECT_FALSE(C == D); | |
| 488 } | |
| 489 | |
| 490 TEST(MathUtilGfxTransformTest, verifyMatrixMultiplication) | |
| 491 { | |
| 492 gfx::Transform A; | |
| 493 initializeTestMatrix(&A); | |
| 494 | |
| 495 gfx::Transform B; | |
| 496 initializeTestMatrix2(&B); | |
| 497 | |
| 498 A.PreconcatTransform(B); | |
| 499 EXPECT_ROW1_EQ(2036, 2292, 2548, 2804, A); | |
| 500 EXPECT_ROW2_EQ(2162, 2434, 2706, 2978, A); | |
| 501 EXPECT_ROW3_EQ(2288, 2576, 2864, 3152, A); | |
| 502 EXPECT_ROW4_EQ(2414, 2718, 3022, 3326, A); | |
| 503 } | |
| 504 | |
| 505 TEST(MathUtilGfxTransformTest, verifyMakeIdentiy) | |
| 506 { | |
| 507 gfx::Transform A; | |
| 508 initializeTestMatrix(&A); | |
| 509 A.MakeIdentity(); | |
| 510 EXPECT_ROW1_EQ(1, 0, 0, 0, A); | |
| 511 EXPECT_ROW2_EQ(0, 1, 0, 0, A); | |
| 512 EXPECT_ROW3_EQ(0, 0, 1, 0, A); | |
| 513 EXPECT_ROW4_EQ(0, 0, 0, 1, A); | |
| 514 EXPECT_TRUE(A.IsIdentity()); | |
| 515 } | |
| 516 | |
| 517 TEST(MathUtilGfxTransformTest, verifyTranslate) | |
| 518 { | |
| 519 gfx::Transform A; | |
| 520 A.Translate(2, 3); | |
| 521 EXPECT_ROW1_EQ(1, 0, 0, 2, A); | |
| 522 EXPECT_ROW2_EQ(0, 1, 0, 3, A); | |
| 523 EXPECT_ROW3_EQ(0, 0, 1, 0, A); | |
| 524 EXPECT_ROW4_EQ(0, 0, 0, 1, A); | |
| 525 | |
| 526 // Verify that Translate() post-multiplies the existing matrix. | |
| 527 A.MakeIdentity(); | |
| 528 A.Scale(5, 5); | |
| 529 A.Translate(2, 3); | |
| 530 EXPECT_ROW1_EQ(5, 0, 0, 10, A); | |
| 531 EXPECT_ROW2_EQ(0, 5, 0, 15, A); | |
| 532 EXPECT_ROW3_EQ(0, 0, 1, 0, A); | |
| 533 EXPECT_ROW4_EQ(0, 0, 0, 1, A); | |
| 534 } | |
| 535 | |
| 536 TEST(MathUtilGfxTransformTest, verifyTranslate3d) | |
| 537 { | |
| 538 gfx::Transform A; | |
| 539 A.Translate3d(2, 3, 4); | |
| 540 EXPECT_ROW1_EQ(1, 0, 0, 2, A); | |
| 541 EXPECT_ROW2_EQ(0, 1, 0, 3, A); | |
| 542 EXPECT_ROW3_EQ(0, 0, 1, 4, A); | |
| 543 EXPECT_ROW4_EQ(0, 0, 0, 1, A); | |
| 544 | |
| 545 // Verify that Translate3d() post-multiplies the existing matrix. | |
| 546 A.MakeIdentity(); | |
| 547 A.Scale3d(6, 7, 8); | |
| 548 A.Translate3d(2, 3, 4); | |
| 549 EXPECT_ROW1_EQ(6, 0, 0, 12, A); | |
| 550 EXPECT_ROW2_EQ(0, 7, 0, 21, A); | |
| 551 EXPECT_ROW3_EQ(0, 0, 8, 32, A); | |
| 552 EXPECT_ROW4_EQ(0, 0, 0, 1, A); | |
| 553 } | |
| 554 | |
| 555 TEST(MathUtilGfxTransformTest, verifyScale) | |
| 556 { | |
| 557 gfx::Transform A; | |
| 558 A.Scale(6, 7); | |
| 559 EXPECT_ROW1_EQ(6, 0, 0, 0, A); | |
| 560 EXPECT_ROW2_EQ(0, 7, 0, 0, A); | |
| 561 EXPECT_ROW3_EQ(0, 0, 1, 0, A); | |
| 562 EXPECT_ROW4_EQ(0, 0, 0, 1, A); | |
| 563 | |
| 564 // Verify that Scale() post-multiplies the existing matrix. | |
| 565 A.MakeIdentity(); | |
| 566 A.Translate3d(2, 3, 4); | |
| 567 A.Scale(6, 7); | |
| 568 EXPECT_ROW1_EQ(6, 0, 0, 2, A); | |
| 569 EXPECT_ROW2_EQ(0, 7, 0, 3, A); | |
| 570 EXPECT_ROW3_EQ(0, 0, 1, 4, A); | |
| 571 EXPECT_ROW4_EQ(0, 0, 0, 1, A); | |
| 572 } | |
| 573 | |
| 574 TEST(MathUtilGfxTransformTest, verifyScale3d) | |
| 575 { | |
| 576 gfx::Transform A; | |
| 577 A.Scale3d(6, 7, 8); | |
| 578 EXPECT_ROW1_EQ(6, 0, 0, 0, A); | |
| 579 EXPECT_ROW2_EQ(0, 7, 0, 0, A); | |
| 580 EXPECT_ROW3_EQ(0, 0, 8, 0, A); | |
| 581 EXPECT_ROW4_EQ(0, 0, 0, 1, A); | |
| 582 | |
| 583 // Verify that scale3d() post-multiplies the existing matrix. | |
| 584 A.MakeIdentity(); | |
| 585 A.Translate3d(2, 3, 4); | |
| 586 A.Scale3d(6, 7, 8); | |
| 587 EXPECT_ROW1_EQ(6, 0, 0, 2, A); | |
| 588 EXPECT_ROW2_EQ(0, 7, 0, 3, A); | |
| 589 EXPECT_ROW3_EQ(0, 0, 8, 4, A); | |
| 590 EXPECT_ROW4_EQ(0, 0, 0, 1, A); | |
| 591 } | |
| 592 | |
| 593 TEST(MathUtilGfxTransformTest, verifyRotate) | |
| 594 { | |
| 595 gfx::Transform A; | |
| 596 A.Rotate(90); | |
| 597 EXPECT_ROW1_NEAR(0, -1, 0, 0, A, ERROR_THRESHOLD); | |
| 598 EXPECT_ROW2_NEAR(1, 0, 0, 0, A, ERROR_THRESHOLD); | |
| 599 EXPECT_ROW3_EQ(0, 0, 1, 0, A); | |
| 600 EXPECT_ROW4_EQ(0, 0, 0, 1, A); | |
| 601 | |
| 602 // Verify that Rotate() post-multiplies the existing matrix. | |
| 603 A.MakeIdentity(); | |
| 604 A.Scale3d(6, 7, 8); | |
| 605 A.Rotate(90); | |
| 606 EXPECT_ROW1_NEAR(0, -6, 0, 0, A, ERROR_THRESHOLD); | |
| 607 EXPECT_ROW2_NEAR(7, 0, 0, 0, A, ERROR_THRESHOLD); | |
| 608 EXPECT_ROW3_EQ(0, 0, 8, 0, A); | |
| 609 EXPECT_ROW4_EQ(0, 0, 0, 1, A); | |
| 610 } | |
| 611 | |
| 612 TEST(MathUtilGfxTransformTest, verifyRotateEulerAngles) | |
| 613 { | |
| 614 gfx::Transform A; | |
| 615 | |
| 616 // Check rotation about z-axis | |
| 617 A.MakeIdentity(); | |
| 618 MathUtil::rotateEulerAngles(&A, 0, 0, 90); | |
| 619 EXPECT_ROW1_NEAR(0, -1, 0, 0, A, ERROR_THRESHOLD); | |
| 620 EXPECT_ROW2_NEAR(1, 0, 0, 0, A, ERROR_THRESHOLD); | |
| 621 EXPECT_ROW3_EQ(0, 0, 1, 0, A); | |
| 622 EXPECT_ROW4_EQ(0, 0, 0, 1, A); | |
| 623 | |
| 624 // Check rotation about x-axis | |
| 625 A.MakeIdentity(); | |
| 626 MathUtil::rotateEulerAngles(&A, 90, 0, 0); | |
| 627 EXPECT_ROW1_EQ(1, 0, 0, 0, A); | |
| 628 EXPECT_ROW2_NEAR(0, 0, -1, 0, A, ERROR_THRESHOLD); | |
| 629 EXPECT_ROW3_NEAR(0, 1, 0, 0, A, ERROR_THRESHOLD); | |
| 630 EXPECT_ROW4_EQ(0, 0, 0, 1, A); | |
| 631 | |
| 632 // Check rotation about y-axis. | |
| 633 // Note carefully, the expected pattern is inverted compared to rotating abo
ut x axis or z axis. | |
| 634 A.MakeIdentity(); | |
| 635 MathUtil::rotateEulerAngles(&A, 0, 90, 0); | |
| 636 EXPECT_ROW1_NEAR(0, 0, 1, 0, A, ERROR_THRESHOLD); | |
| 637 EXPECT_ROW2_EQ(0, 1, 0, 0, A); | |
| 638 EXPECT_ROW3_NEAR(-1, 0, 0, 0, A, ERROR_THRESHOLD); | |
| 639 EXPECT_ROW4_EQ(0, 0, 0, 1, A); | |
| 640 | |
| 641 // Verify that rotate3d(rx, ry, rz) post-multiplies the existing matrix. | |
| 642 A.MakeIdentity(); | |
| 643 A.Scale3d(6, 7, 8); | |
| 644 MathUtil::rotateEulerAngles(&A, 0, 0, 90); | |
| 645 EXPECT_ROW1_NEAR(0, -6, 0, 0, A, ERROR_THRESHOLD); | |
| 646 EXPECT_ROW2_NEAR(7, 0, 0, 0, A, ERROR_THRESHOLD); | |
| 647 EXPECT_ROW3_EQ(0, 0, 8, 0, A); | |
| 648 EXPECT_ROW4_EQ(0, 0, 0, 1, A); | |
| 649 } | |
| 650 | |
| 651 TEST(MathUtilGfxTransformTest, verifyRotateEulerAnglesOrderOfCompositeRotations) | |
| 652 { | |
| 653 // Rotate3d(degreesX, degreesY, degreesZ) is actually composite transform co
nsiting of | |
| 654 // three primitive rotations. This test verifies that the ordering of those
three | |
| 655 // transforms is the intended ordering. | |
| 656 // | |
| 657 // The correct ordering for this test case should be: | |
| 658 // 1. rotate by 30 degrees about z-axis | |
| 659 // 2. rotate by 20 degrees about y-axis | |
| 660 // 3. rotate by 10 degrees about x-axis | |
| 661 // | |
| 662 // Note: there are 6 possible orderings of 3 transforms. For the specific tr
ansforms | |
| 663 // used in this test, all 6 combinations produce a unique matrix that is dif
ferent | |
| 664 // from the other orderings. That way, this test verifies the exact ordering
. | |
| 665 | |
| 666 gfx::Transform A; | |
| 667 A.MakeIdentity(); | |
| 668 MathUtil::rotateEulerAngles(&A, 10, 20, 30); | |
| 669 | |
| 670 EXPECT_ROW1_NEAR(0.8137976813493738026394908, | |
| 671 -0.4409696105298823720630708, | |
| 672 0.3785223063697923939763257, | |
| 673 0, A, ERROR_THRESHOLD); | |
| 674 EXPECT_ROW2_NEAR(0.4698463103929541584413698, | |
| 675 0.8825641192593856043657752, | |
| 676 0.0180283112362972230968694, | |
| 677 0, A, ERROR_THRESHOLD); | |
| 678 EXPECT_ROW3_NEAR(-0.3420201433256686573969318, | |
| 679 0.1631759111665348205288950, | |
| 680 0.9254165783983233639631294, | |
| 681 0, A, ERROR_THRESHOLD); | |
| 682 EXPECT_ROW4_EQ(0, 0, 0, 1, A); | |
| 683 } | |
| 684 | |
| 685 TEST(MathUtilGfxTransformTest, verifyRotateAboutXAxis) | |
| 686 { | |
| 687 gfx::Transform A; | |
| 688 double sin45 = 0.5 * sqrt(2.0); | |
| 689 double cos45 = sin45; | |
| 690 | |
| 691 A.MakeIdentity(); | |
| 692 A.RotateAboutXAxis(90); | |
| 693 EXPECT_ROW1_EQ(1, 0, 0, 0, A); | |
| 694 EXPECT_ROW2_NEAR(0, 0, -1, 0, A, ERROR_THRESHOLD); | |
| 695 EXPECT_ROW3_NEAR(0, 1, 0, 0, A, ERROR_THRESHOLD); | |
| 696 EXPECT_ROW4_EQ(0, 0, 0, 1, A); | |
| 697 | |
| 698 A.MakeIdentity(); | |
| 699 A.RotateAboutXAxis(45); | |
| 700 EXPECT_ROW1_EQ(1, 0, 0, 0, A); | |
| 701 EXPECT_ROW2_NEAR(0, cos45, -sin45, 0, A, ERROR_THRESHOLD); | |
| 702 EXPECT_ROW3_NEAR(0, sin45, cos45, 0, A, ERROR_THRESHOLD); | |
| 703 EXPECT_ROW4_EQ(0, 0, 0, 1, A); | |
| 704 | |
| 705 // Verify that rotateAboutXAxis(angle) post-multiplies the existing matrix. | |
| 706 A.MakeIdentity(); | |
| 707 A.Scale3d(6, 7, 8); | |
| 708 A.RotateAboutXAxis(90); | |
| 709 EXPECT_ROW1_NEAR(6, 0, 0, 0, A, ERROR_THRESHOLD); | |
| 710 EXPECT_ROW2_NEAR(0, 0, -7, 0, A, ERROR_THRESHOLD); | |
| 711 EXPECT_ROW3_NEAR(0, 8, 0, 0, A, ERROR_THRESHOLD); | |
| 712 EXPECT_ROW4_EQ(0, 0, 0, 1, A); | |
| 713 } | |
| 714 | |
| 715 TEST(MathUtilGfxTransformTest, verifyRotateAboutYAxis) | |
| 716 { | |
| 717 gfx::Transform A; | |
| 718 double sin45 = 0.5 * sqrt(2.0); | |
| 719 double cos45 = sin45; | |
| 720 | |
| 721 // Note carefully, the expected pattern is inverted compared to rotating abo
ut x axis or z axis. | |
| 722 A.MakeIdentity(); | |
| 723 A.RotateAboutYAxis(90); | |
| 724 EXPECT_ROW1_NEAR(0, 0, 1, 0, A, ERROR_THRESHOLD); | |
| 725 EXPECT_ROW2_EQ(0, 1, 0, 0, A); | |
| 726 EXPECT_ROW3_NEAR(-1, 0, 0, 0, A, ERROR_THRESHOLD); | |
| 727 EXPECT_ROW4_EQ(0, 0, 0, 1, A); | |
| 728 | |
| 729 A.MakeIdentity(); | |
| 730 A.RotateAboutYAxis(45); | |
| 731 EXPECT_ROW1_NEAR(cos45, 0, sin45, 0, A, ERROR_THRESHOLD); | |
| 732 EXPECT_ROW2_EQ(0, 1, 0, 0, A); | |
| 733 EXPECT_ROW3_NEAR(-sin45, 0, cos45, 0, A, ERROR_THRESHOLD); | |
| 734 EXPECT_ROW4_EQ(0, 0, 0, 1, A); | |
| 735 | |
| 736 // Verify that rotateAboutYAxis(angle) post-multiplies the existing matrix. | |
| 737 A.MakeIdentity(); | |
| 738 A.Scale3d(6, 7, 8); | |
| 739 A.RotateAboutYAxis(90); | |
| 740 EXPECT_ROW1_NEAR(0, 0, 6, 0, A, ERROR_THRESHOLD); | |
| 741 EXPECT_ROW2_NEAR(0, 7, 0, 0, A, ERROR_THRESHOLD); | |
| 742 EXPECT_ROW3_NEAR(-8, 0, 0, 0, A, ERROR_THRESHOLD); | |
| 743 EXPECT_ROW4_EQ(0, 0, 0, 1, A); | |
| 744 } | |
| 745 | |
| 746 TEST(MathUtilGfxTransformTest, verifyRotateAboutZAxis) | |
| 747 { | |
| 748 gfx::Transform A; | |
| 749 double sin45 = 0.5 * sqrt(2.0); | |
| 750 double cos45 = sin45; | |
| 751 | |
| 752 A.MakeIdentity(); | |
| 753 A.RotateAboutZAxis(90); | |
| 754 EXPECT_ROW1_NEAR(0, -1, 0, 0, A, ERROR_THRESHOLD); | |
| 755 EXPECT_ROW2_NEAR(1, 0, 0, 0, A, ERROR_THRESHOLD); | |
| 756 EXPECT_ROW3_EQ(0, 0, 1, 0, A); | |
| 757 EXPECT_ROW4_EQ(0, 0, 0, 1, A); | |
| 758 | |
| 759 A.MakeIdentity(); | |
| 760 A.RotateAboutZAxis(45); | |
| 761 EXPECT_ROW1_NEAR(cos45, -sin45, 0, 0, A, ERROR_THRESHOLD); | |
| 762 EXPECT_ROW2_NEAR(sin45, cos45, 0, 0, A, ERROR_THRESHOLD); | |
| 763 EXPECT_ROW3_EQ(0, 0, 1, 0, A); | |
| 764 EXPECT_ROW4_EQ(0, 0, 0, 1, A); | |
| 765 | |
| 766 // Verify that rotateAboutZAxis(angle) post-multiplies the existing matrix. | |
| 767 A.MakeIdentity(); | |
| 768 A.Scale3d(6, 7, 8); | |
| 769 A.RotateAboutZAxis(90); | |
| 770 EXPECT_ROW1_NEAR(0, -6, 0, 0, A, ERROR_THRESHOLD); | |
| 771 EXPECT_ROW2_NEAR(7, 0, 0, 0, A, ERROR_THRESHOLD); | |
| 772 EXPECT_ROW3_EQ(0, 0, 8, 0, A); | |
| 773 EXPECT_ROW4_EQ(0, 0, 0, 1, A); | |
| 774 } | |
| 775 | |
| 776 TEST(MathUtilGfxTransformTest, verifyRotateAboutForAlignedAxes) | |
| 777 { | |
| 778 gfx::Transform A; | |
| 779 | |
| 780 // Check rotation about z-axis | |
| 781 A.MakeIdentity(); | |
| 782 A.RotateAbout(gfx::Vector3dF(0, 0, 1), 90); | |
| 783 EXPECT_ROW1_NEAR(0, -1, 0, 0, A, ERROR_THRESHOLD); | |
| 784 EXPECT_ROW2_NEAR(1, 0, 0, 0, A, ERROR_THRESHOLD); | |
| 785 EXPECT_ROW3_EQ(0, 0, 1, 0, A); | |
| 786 EXPECT_ROW4_EQ(0, 0, 0, 1, A); | |
| 787 | |
| 788 // Check rotation about x-axis | |
| 789 A.MakeIdentity(); | |
| 790 A.RotateAbout(gfx::Vector3dF(1, 0, 0), 90); | |
| 791 EXPECT_ROW1_EQ(1, 0, 0, 0, A); | |
| 792 EXPECT_ROW2_NEAR(0, 0, -1, 0, A, ERROR_THRESHOLD); | |
| 793 EXPECT_ROW3_NEAR(0, 1, 0, 0, A, ERROR_THRESHOLD); | |
| 794 EXPECT_ROW4_EQ(0, 0, 0, 1, A); | |
| 795 | |
| 796 // Check rotation about y-axis. | |
| 797 // Note carefully, the expected pattern is inverted compared to rotating abo
ut x axis or z axis. | |
| 798 A.MakeIdentity(); | |
| 799 A.RotateAbout(gfx::Vector3dF(0, 1, 0), 90); | |
| 800 EXPECT_ROW1_NEAR(0, 0, 1, 0, A, ERROR_THRESHOLD); | |
| 801 EXPECT_ROW2_EQ(0, 1, 0, 0, A); | |
| 802 EXPECT_ROW3_NEAR(-1, 0, 0, 0, A, ERROR_THRESHOLD); | |
| 803 EXPECT_ROW4_EQ(0, 0, 0, 1, A); | |
| 804 | |
| 805 // Verify that rotate3d(axis, angle) post-multiplies the existing matrix. | |
| 806 A.MakeIdentity(); | |
| 807 A.Scale3d(6, 7, 8); | |
| 808 A.RotateAboutZAxis(90); | |
| 809 EXPECT_ROW1_NEAR(0, -6, 0, 0, A, ERROR_THRESHOLD); | |
| 810 EXPECT_ROW2_NEAR(7, 0, 0, 0, A, ERROR_THRESHOLD); | |
| 811 EXPECT_ROW3_EQ(0, 0, 8, 0, A); | |
| 812 EXPECT_ROW4_EQ(0, 0, 0, 1, A); | |
| 813 } | |
| 814 | |
| 815 TEST(MathUtilGfxTransformTest, verifyRotateAboutForArbitraryAxis) | |
| 816 { | |
| 817 // Check rotation about an arbitrary non-axis-aligned vector. | |
| 818 gfx::Transform A; | |
| 819 A.RotateAbout(gfx::Vector3dF(1, 1, 1), 90); | |
| 820 EXPECT_ROW1_NEAR(0.3333333333333334258519187, | |
| 821 -0.2440169358562924717404030, | |
| 822 0.9106836025229592124219380, | |
| 823 0, A, ERROR_THRESHOLD); | |
| 824 EXPECT_ROW2_NEAR(0.9106836025229592124219380, | |
| 825 0.3333333333333334258519187, | |
| 826 -0.2440169358562924717404030, | |
| 827 0, A, ERROR_THRESHOLD); | |
| 828 EXPECT_ROW3_NEAR(-0.2440169358562924717404030, | |
| 829 0.9106836025229592124219380, | |
| 830 0.3333333333333334258519187, | |
| 831 0, A, ERROR_THRESHOLD); | |
| 832 EXPECT_ROW4_EQ(0, 0, 0, 1, A); | |
| 833 } | |
| 834 | |
| 835 TEST(MathUtilGfxTransformTest, verifyRotateAboutForDegenerateAxis) | |
| 836 { | |
| 837 // Check rotation about a degenerate zero vector. | |
| 838 // It is expected to skip applying the rotation. | |
| 839 gfx::Transform A; | |
| 840 | |
| 841 A.RotateAbout(gfx::Vector3dF(0, 0, 0), 45); | |
| 842 // Verify that A remains unchanged. | |
| 843 EXPECT_TRUE(A.IsIdentity()); | |
| 844 | |
| 845 initializeTestMatrix(&A); | |
| 846 A.RotateAbout(gfx::Vector3dF(0, 0, 0), 35); | |
| 847 | |
| 848 // Verify that A remains unchanged. | |
| 849 EXPECT_ROW1_EQ(10, 14, 18, 22, A); | |
| 850 EXPECT_ROW2_EQ(11, 15, 19, 23, A); | |
| 851 EXPECT_ROW3_EQ(12, 16, 20, 24, A); | |
| 852 EXPECT_ROW4_EQ(13, 17, 21, 25, A); | |
| 853 } | |
| 854 | |
| 855 TEST(MathUtilGfxTransformTest, verifySkewX) | |
| 856 { | |
| 857 gfx::Transform A; | |
| 858 A.SkewX(45); | |
| 859 EXPECT_ROW1_EQ(1, 1, 0, 0, A); | |
| 860 EXPECT_ROW2_EQ(0, 1, 0, 0, A); | |
| 861 EXPECT_ROW3_EQ(0, 0, 1, 0, A); | |
| 862 EXPECT_ROW4_EQ(0, 0, 0, 1, A); | |
| 863 | |
| 864 // Verify that skewX() post-multiplies the existing matrix. | |
| 865 // Row 1, column 2, would incorrectly have value "7" if the matrix is pre-mu
ltiplied instead of post-multiplied. | |
| 866 A.MakeIdentity(); | |
| 867 A.Scale3d(6, 7, 8); | |
| 868 A.SkewX(45); | |
| 869 EXPECT_ROW1_EQ(6, 6, 0, 0, A); | |
| 870 EXPECT_ROW2_EQ(0, 7, 0, 0, A); | |
| 871 EXPECT_ROW3_EQ(0, 0, 8, 0, A); | |
| 872 EXPECT_ROW4_EQ(0, 0, 0, 1, A); | |
| 873 } | |
| 874 | |
| 875 TEST(MathUtilGfxTransformTest, verifySkewY) | |
| 876 { | |
| 877 gfx::Transform A; | |
| 878 A.SkewY(45); | |
| 879 EXPECT_ROW1_EQ(1, 0, 0, 0, A); | |
| 880 EXPECT_ROW2_EQ(1, 1, 0, 0, A); | |
| 881 EXPECT_ROW3_EQ(0, 0, 1, 0, A); | |
| 882 EXPECT_ROW4_EQ(0, 0, 0, 1, A); | |
| 883 | |
| 884 // Verify that skewY() post-multiplies the existing matrix. | |
| 885 // Row 2, column 1, would incorrectly have value "6" if the matrix is pre-mu
ltiplied instead of post-multiplied. | |
| 886 A.MakeIdentity(); | |
| 887 A.Scale3d(6, 7, 8); | |
| 888 A.SkewY(45); | |
| 889 EXPECT_ROW1_EQ(6, 0, 0, 0, A); | |
| 890 EXPECT_ROW2_EQ(7, 7, 0, 0, A); | |
| 891 EXPECT_ROW3_EQ(0, 0, 8, 0, A); | |
| 892 EXPECT_ROW4_EQ(0, 0, 0, 1, A); | |
| 893 } | |
| 894 | |
| 895 TEST(MathUtilGfxTransformTest, verifyPerspectiveDepth) | |
| 896 { | |
| 897 gfx::Transform A; | |
| 898 A.ApplyPerspectiveDepth(1); | |
| 899 EXPECT_ROW1_EQ(1, 0, 0, 0, A); | |
| 900 EXPECT_ROW2_EQ(0, 1, 0, 0, A); | |
| 901 EXPECT_ROW3_EQ(0, 0, 1, 0, A); | |
| 902 EXPECT_ROW4_EQ(0, 0, -1, 1, A); | |
| 903 | |
| 904 // Verify that PerspectiveDepth() post-multiplies the existing matrix. | |
| 905 A.MakeIdentity(); | |
| 906 A.Translate3d(2, 3, 4); | |
| 907 A.ApplyPerspectiveDepth(1); | |
| 908 EXPECT_ROW1_EQ(1, 0, -2, 2, A); | |
| 909 EXPECT_ROW2_EQ(0, 1, -3, 3, A); | |
| 910 EXPECT_ROW3_EQ(0, 0, -3, 4, A); | |
| 911 EXPECT_ROW4_EQ(0, 0, -1, 1, A); | |
| 912 } | |
| 913 | |
| 914 TEST(MathUtilGfxTransformTest, verifyHasPerspective) | |
| 915 { | |
| 916 gfx::Transform A; | |
| 917 A.ApplyPerspectiveDepth(1); | |
| 918 EXPECT_TRUE(A.HasPerspective()); | |
| 919 | |
| 920 A.MakeIdentity(); | |
| 921 A.ApplyPerspectiveDepth(0); | |
| 922 EXPECT_FALSE(A.HasPerspective()); | |
| 923 | |
| 924 A.MakeIdentity(); | |
| 925 A.matrix().setDouble(3, 0, -1); | |
| 926 EXPECT_TRUE(A.HasPerspective()); | |
| 927 | |
| 928 A.MakeIdentity(); | |
| 929 A.matrix().setDouble(3, 1, -1); | |
| 930 EXPECT_TRUE(A.HasPerspective()); | |
| 931 | |
| 932 A.MakeIdentity(); | |
| 933 A.matrix().setDouble(3, 2, -0.3); | |
| 934 EXPECT_TRUE(A.HasPerspective()); | |
| 935 | |
| 936 A.MakeIdentity(); | |
| 937 A.matrix().setDouble(3, 3, 0.5); | |
| 938 EXPECT_TRUE(A.HasPerspective()); | |
| 939 | |
| 940 A.MakeIdentity(); | |
| 941 A.matrix().setDouble(3, 3, 0); | |
| 942 EXPECT_TRUE(A.HasPerspective()); | |
| 943 } | |
| 944 | |
| 945 TEST(MathUtilGfxTransformTest, verifyIsInvertible) | |
| 946 { | |
| 947 gfx::Transform A; | |
| 948 | |
| 949 // Translations, rotations, scales, skews and arbitrary combinations of them
are invertible. | |
| 950 A.MakeIdentity(); | |
| 951 EXPECT_TRUE(A.IsInvertible()); | |
| 952 | |
| 953 A.MakeIdentity(); | |
| 954 A.Translate3d(2, 3, 4); | |
| 955 EXPECT_TRUE(A.IsInvertible()); | |
| 956 | |
| 957 A.MakeIdentity(); | |
| 958 A.Scale3d(6, 7, 8); | |
| 959 EXPECT_TRUE(A.IsInvertible()); | |
| 960 | |
| 961 A.MakeIdentity(); | |
| 962 MathUtil::rotateEulerAngles(&A, 10, 20, 30); | |
| 963 EXPECT_TRUE(A.IsInvertible()); | |
| 964 | |
| 965 A.MakeIdentity(); | |
| 966 A.SkewX(45); | |
| 967 EXPECT_TRUE(A.IsInvertible()); | |
| 968 | |
| 969 // A perspective matrix (projection plane at z=0) is invertible. The intuiti
ve | |
| 970 // explanation is that perspective is eqivalent to a skew of the w-axis; ske
ws are | |
| 971 // invertible. | |
| 972 A.MakeIdentity(); | |
| 973 A.ApplyPerspectiveDepth(1); | |
| 974 EXPECT_TRUE(A.IsInvertible()); | |
| 975 | |
| 976 // A "pure" perspective matrix derived by similar triangles, with m44() set
to zero | |
| 977 // (i.e. camera positioned at the origin), is not invertible. | |
| 978 A.MakeIdentity(); | |
| 979 A.ApplyPerspectiveDepth(1); | |
| 980 A.matrix().setDouble(3, 3, 0); | |
| 981 EXPECT_FALSE(A.IsInvertible()); | |
| 982 | |
| 983 // Adding more to a non-invertible matrix will not make it invertible in the
general case. | |
| 984 A.MakeIdentity(); | |
| 985 A.ApplyPerspectiveDepth(1); | |
| 986 A.matrix().setDouble(3, 3, 0); | |
| 987 A.Scale3d(6, 7, 8); | |
| 988 MathUtil::rotateEulerAngles(&A, 10, 20, 30); | |
| 989 A.Translate3d(6, 7, 8); | |
| 990 EXPECT_FALSE(A.IsInvertible()); | |
| 991 | |
| 992 // A degenerate matrix of all zeros is not invertible. | |
| 993 A.MakeIdentity(); | |
| 994 A.matrix().setDouble(0, 0, 0); | |
| 995 A.matrix().setDouble(1, 1, 0); | |
| 996 A.matrix().setDouble(2, 2, 0); | |
| 997 A.matrix().setDouble(3, 3, 0); | |
| 998 EXPECT_FALSE(A.IsInvertible()); | |
| 999 } | |
| 1000 | |
| 1001 TEST(MathUtilGfxTransformTest, verifyIsIdentity) | |
| 1002 { | |
| 1003 gfx::Transform A; | |
| 1004 | |
| 1005 initializeTestMatrix(&A); | |
| 1006 EXPECT_FALSE(A.IsIdentity()); | |
| 1007 | |
| 1008 A.MakeIdentity(); | |
| 1009 EXPECT_TRUE(A.IsIdentity()); | |
| 1010 | |
| 1011 // Modifying any one individual element should cause the matrix to no longer
be identity. | |
| 1012 A.MakeIdentity(); | |
| 1013 A.matrix().setDouble(0, 0, 2); | |
| 1014 EXPECT_FALSE(A.IsIdentity()); | |
| 1015 | |
| 1016 A.MakeIdentity(); | |
| 1017 A.matrix().setDouble(1, 0, 2); | |
| 1018 EXPECT_FALSE(A.IsIdentity()); | |
| 1019 | |
| 1020 A.MakeIdentity(); | |
| 1021 A.matrix().setDouble(2, 0, 2); | |
| 1022 EXPECT_FALSE(A.IsIdentity()); | |
| 1023 | |
| 1024 A.MakeIdentity(); | |
| 1025 A.matrix().setDouble(3, 0, 2); | |
| 1026 EXPECT_FALSE(A.IsIdentity()); | |
| 1027 | |
| 1028 A.MakeIdentity(); | |
| 1029 A.matrix().setDouble(0, 1, 2); | |
| 1030 EXPECT_FALSE(A.IsIdentity()); | |
| 1031 | |
| 1032 A.MakeIdentity(); | |
| 1033 A.matrix().setDouble(1, 1, 2); | |
| 1034 EXPECT_FALSE(A.IsIdentity()); | |
| 1035 | |
| 1036 A.MakeIdentity(); | |
| 1037 A.matrix().setDouble(2, 1, 2); | |
| 1038 EXPECT_FALSE(A.IsIdentity()); | |
| 1039 | |
| 1040 A.MakeIdentity(); | |
| 1041 A.matrix().setDouble(3, 1, 2); | |
| 1042 EXPECT_FALSE(A.IsIdentity()); | |
| 1043 | |
| 1044 A.MakeIdentity(); | |
| 1045 A.matrix().setDouble(0, 2, 2); | |
| 1046 EXPECT_FALSE(A.IsIdentity()); | |
| 1047 | |
| 1048 A.MakeIdentity(); | |
| 1049 A.matrix().setDouble(1, 2, 2); | |
| 1050 EXPECT_FALSE(A.IsIdentity()); | |
| 1051 | |
| 1052 A.MakeIdentity(); | |
| 1053 A.matrix().setDouble(2, 2, 2); | |
| 1054 EXPECT_FALSE(A.IsIdentity()); | |
| 1055 | |
| 1056 A.MakeIdentity(); | |
| 1057 A.matrix().setDouble(3, 2, 2); | |
| 1058 EXPECT_FALSE(A.IsIdentity()); | |
| 1059 | |
| 1060 A.MakeIdentity(); | |
| 1061 A.matrix().setDouble(0, 3, 2); | |
| 1062 EXPECT_FALSE(A.IsIdentity()); | |
| 1063 | |
| 1064 A.MakeIdentity(); | |
| 1065 A.matrix().setDouble(1, 3, 2); | |
| 1066 EXPECT_FALSE(A.IsIdentity()); | |
| 1067 | |
| 1068 A.MakeIdentity(); | |
| 1069 A.matrix().setDouble(2, 3, 2); | |
| 1070 EXPECT_FALSE(A.IsIdentity()); | |
| 1071 | |
| 1072 A.MakeIdentity(); | |
| 1073 A.matrix().setDouble(3, 3, 2); | |
| 1074 EXPECT_FALSE(A.IsIdentity()); | |
| 1075 } | |
| 1076 | |
| 1077 TEST(MathUtilGfxTransformTest, verifyIsIdentityOrTranslation) | |
| 1078 { | |
| 1079 gfx::Transform A; | |
| 1080 | |
| 1081 initializeTestMatrix(&A); | |
| 1082 EXPECT_FALSE(A.IsIdentityOrTranslation()); | |
| 1083 | |
| 1084 A.MakeIdentity(); | |
| 1085 EXPECT_TRUE(A.IsIdentityOrTranslation()); | |
| 1086 | |
| 1087 // Modifying any non-translation components should cause IsIdentityOrTransla
tion() to | |
| 1088 // return false. NOTE: (0, 3), (1, 3), and (2, 3) are the translation compon
ents, so | |
| 1089 // modifying them should still return true. | |
| 1090 A.MakeIdentity(); | |
| 1091 A.matrix().setDouble(0, 0, 2); | |
| 1092 EXPECT_FALSE(A.IsIdentityOrTranslation()); | |
| 1093 | |
| 1094 A.MakeIdentity(); | |
| 1095 A.matrix().setDouble(1, 0, 2); | |
| 1096 EXPECT_FALSE(A.IsIdentityOrTranslation()); | |
| 1097 | |
| 1098 A.MakeIdentity(); | |
| 1099 A.matrix().setDouble(2, 0, 2); | |
| 1100 EXPECT_FALSE(A.IsIdentityOrTranslation()); | |
| 1101 | |
| 1102 A.MakeIdentity(); | |
| 1103 A.matrix().setDouble(3, 0, 2); | |
| 1104 EXPECT_FALSE(A.IsIdentityOrTranslation()); | |
| 1105 | |
| 1106 A.MakeIdentity(); | |
| 1107 A.matrix().setDouble(0, 1, 2); | |
| 1108 EXPECT_FALSE(A.IsIdentityOrTranslation()); | |
| 1109 | |
| 1110 A.MakeIdentity(); | |
| 1111 A.matrix().setDouble(1, 1, 2); | |
| 1112 EXPECT_FALSE(A.IsIdentityOrTranslation()); | |
| 1113 | |
| 1114 A.MakeIdentity(); | |
| 1115 A.matrix().setDouble(2, 1, 2); | |
| 1116 EXPECT_FALSE(A.IsIdentityOrTranslation()); | |
| 1117 | |
| 1118 A.MakeIdentity(); | |
| 1119 A.matrix().setDouble(3, 1, 2); | |
| 1120 EXPECT_FALSE(A.IsIdentityOrTranslation()); | |
| 1121 | |
| 1122 A.MakeIdentity(); | |
| 1123 A.matrix().setDouble(0, 2, 2); | |
| 1124 EXPECT_FALSE(A.IsIdentityOrTranslation()); | |
| 1125 | |
| 1126 A.MakeIdentity(); | |
| 1127 A.matrix().setDouble(1, 2, 2); | |
| 1128 EXPECT_FALSE(A.IsIdentityOrTranslation()); | |
| 1129 | |
| 1130 A.MakeIdentity(); | |
| 1131 A.matrix().setDouble(2, 2, 2); | |
| 1132 EXPECT_FALSE(A.IsIdentityOrTranslation()); | |
| 1133 | |
| 1134 A.MakeIdentity(); | |
| 1135 A.matrix().setDouble(3, 2, 2); | |
| 1136 EXPECT_FALSE(A.IsIdentityOrTranslation()); | |
| 1137 | |
| 1138 // Note carefully - expecting true here. | |
| 1139 A.MakeIdentity(); | |
| 1140 A.matrix().setDouble(0, 3, 2); | |
| 1141 EXPECT_TRUE(A.IsIdentityOrTranslation()); | |
| 1142 | |
| 1143 // Note carefully - expecting true here. | |
| 1144 A.MakeIdentity(); | |
| 1145 A.matrix().setDouble(1, 3, 2); | |
| 1146 EXPECT_TRUE(A.IsIdentityOrTranslation()); | |
| 1147 | |
| 1148 // Note carefully - expecting true here. | |
| 1149 A.MakeIdentity(); | |
| 1150 A.matrix().setDouble(2, 3, 2); | |
| 1151 EXPECT_TRUE(A.IsIdentityOrTranslation()); | |
| 1152 | |
| 1153 A.MakeIdentity(); | |
| 1154 A.matrix().setDouble(3, 3, 2); | |
| 1155 EXPECT_FALSE(A.IsIdentityOrTranslation()); | |
| 1156 } | |
| 1157 | |
| 1158 TEST(MathUtilGfxTransformTest, verifyIsScaleOrTranslation) | |
| 1159 { | |
| 1160 gfx::Transform A; | |
| 1161 | |
| 1162 initializeTestMatrix(&A); | |
| 1163 EXPECT_FALSE(A.IsScaleOrTranslation()); | |
| 1164 | |
| 1165 A.MakeIdentity(); | |
| 1166 EXPECT_TRUE(A.IsScaleOrTranslation()); | |
| 1167 | |
| 1168 // Modifying any non-scale or non-translation components should cause | |
| 1169 // IsScaleOrTranslation() to return false. (0, 0), (1, 1), (2, 2), (0, 3), | |
| 1170 // (1, 3), and (2, 3) are the scale and translation components, so | |
| 1171 // modifying them should still return true. | |
| 1172 | |
| 1173 // Note carefully - expecting true here. | |
| 1174 A.MakeIdentity(); | |
| 1175 A.matrix().setDouble(0, 0, 2); | |
| 1176 EXPECT_TRUE(A.IsScaleOrTranslation()); | |
| 1177 | |
| 1178 A.MakeIdentity(); | |
| 1179 A.matrix().setDouble(1, 0, 2); | |
| 1180 EXPECT_FALSE(A.IsScaleOrTranslation()); | |
| 1181 | |
| 1182 A.MakeIdentity(); | |
| 1183 A.matrix().setDouble(2, 0, 2); | |
| 1184 EXPECT_FALSE(A.IsScaleOrTranslation()); | |
| 1185 | |
| 1186 A.MakeIdentity(); | |
| 1187 A.matrix().setDouble(3, 0, 2); | |
| 1188 EXPECT_FALSE(A.IsScaleOrTranslation()); | |
| 1189 | |
| 1190 A.MakeIdentity(); | |
| 1191 A.matrix().setDouble(0, 1, 2); | |
| 1192 EXPECT_FALSE(A.IsScaleOrTranslation()); | |
| 1193 | |
| 1194 // Note carefully - expecting true here. | |
| 1195 A.MakeIdentity(); | |
| 1196 A.matrix().setDouble(1, 1, 2); | |
| 1197 EXPECT_TRUE(A.IsScaleOrTranslation()); | |
| 1198 | |
| 1199 A.MakeIdentity(); | |
| 1200 A.matrix().setDouble(2, 1, 2); | |
| 1201 EXPECT_FALSE(A.IsScaleOrTranslation()); | |
| 1202 | |
| 1203 A.MakeIdentity(); | |
| 1204 A.matrix().setDouble(3, 1, 2); | |
| 1205 EXPECT_FALSE(A.IsScaleOrTranslation()); | |
| 1206 | |
| 1207 A.MakeIdentity(); | |
| 1208 A.matrix().setDouble(0, 2, 2); | |
| 1209 EXPECT_FALSE(A.IsScaleOrTranslation()); | |
| 1210 | |
| 1211 A.MakeIdentity(); | |
| 1212 A.matrix().setDouble(1, 2, 2); | |
| 1213 EXPECT_FALSE(A.IsScaleOrTranslation()); | |
| 1214 | |
| 1215 // Note carefully - expecting true here. | |
| 1216 A.MakeIdentity(); | |
| 1217 A.matrix().setDouble(2, 2, 2); | |
| 1218 EXPECT_TRUE(A.IsScaleOrTranslation()); | |
| 1219 | |
| 1220 A.MakeIdentity(); | |
| 1221 A.matrix().setDouble(3, 2, 2); | |
| 1222 EXPECT_FALSE(A.IsScaleOrTranslation()); | |
| 1223 | |
| 1224 // Note carefully - expecting true here. | |
| 1225 A.MakeIdentity(); | |
| 1226 A.matrix().setDouble(0, 3, 2); | |
| 1227 EXPECT_TRUE(A.IsScaleOrTranslation()); | |
| 1228 | |
| 1229 // Note carefully - expecting true here. | |
| 1230 A.MakeIdentity(); | |
| 1231 A.matrix().setDouble(1, 3, 2); | |
| 1232 EXPECT_TRUE(A.IsScaleOrTranslation()); | |
| 1233 | |
| 1234 // Note carefully - expecting true here. | |
| 1235 A.MakeIdentity(); | |
| 1236 A.matrix().setDouble(2, 3, 2); | |
| 1237 EXPECT_TRUE(A.IsScaleOrTranslation()); | |
| 1238 | |
| 1239 A.MakeIdentity(); | |
| 1240 A.matrix().setDouble(3, 3, 2); | |
| 1241 EXPECT_FALSE(A.IsScaleOrTranslation()); | |
| 1242 } | |
| 1243 | |
| 1244 } // namespace | 117 } // namespace |
| 1245 } // namespace cc | 118 } // namespace cc |
| OLD | NEW |
|---|
Chromium Code Reviews
Issue 11774005:
Migrate more functions from MathUtil to gfx::Transform (Closed)
Base URL: svn://svn.chromium.org/chrome/trunk/src