| OLD | NEW |
| 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" |
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| 324 EXPECT_ROW1_EQ(10, 14, 18, 22, B); | 324 EXPECT_ROW1_EQ(10, 14, 18, 22, B); |
| 325 EXPECT_ROW2_EQ(11, 15, 19, 23, B); | 325 EXPECT_ROW2_EQ(11, 15, 19, 23, B); |
| 326 EXPECT_ROW3_EQ(12, 16, 20, 24, B); | 326 EXPECT_ROW3_EQ(12, 16, 20, 24, B); |
| 327 EXPECT_ROW4_EQ(13, 17, 21, 25, B); | 327 EXPECT_ROW4_EQ(13, 17, 21, 25, B); |
| 328 } | 328 } |
| 329 | 329 |
| 330 TEST(MathUtilGfxTransformTest, verifyMatrixInversion) | 330 TEST(MathUtilGfxTransformTest, verifyMatrixInversion) |
| 331 { | 331 { |
| 332 // Invert a translation | 332 // Invert a translation |
| 333 gfx::Transform translation; | 333 gfx::Transform translation; |
| 334 translation.PreconcatTranslate3d(2, 3, 4); | 334 translation.Translate3d(2, 3, 4); |
| 335 EXPECT_TRUE(MathUtil::isInvertible(translation)); | 335 EXPECT_TRUE(MathUtil::isInvertible(translation)); |
| 336 | 336 |
| 337 gfx::Transform inverseTranslation = MathUtil::inverse(translation); | 337 gfx::Transform inverseTranslation = MathUtil::inverse(translation); |
| 338 EXPECT_ROW1_EQ(1, 0, 0, -2, inverseTranslation); | 338 EXPECT_ROW1_EQ(1, 0, 0, -2, inverseTranslation); |
| 339 EXPECT_ROW2_EQ(0, 1, 0, -3, inverseTranslation); | 339 EXPECT_ROW2_EQ(0, 1, 0, -3, inverseTranslation); |
| 340 EXPECT_ROW3_EQ(0, 0, 1, -4, inverseTranslation); | 340 EXPECT_ROW3_EQ(0, 0, 1, -4, inverseTranslation); |
| 341 EXPECT_ROW4_EQ(0, 0, 0, 1, inverseTranslation); | 341 EXPECT_ROW4_EQ(0, 0, 0, 1, inverseTranslation); |
| 342 | 342 |
| 343 // Note that inversion should not have changed the original matrix. | 343 // Note that inversion should not have changed the original matrix. |
| 344 EXPECT_ROW1_EQ(1, 0, 0, 2, translation); | 344 EXPECT_ROW1_EQ(1, 0, 0, 2, translation); |
| 345 EXPECT_ROW2_EQ(0, 1, 0, 3, translation); | 345 EXPECT_ROW2_EQ(0, 1, 0, 3, translation); |
| 346 EXPECT_ROW3_EQ(0, 0, 1, 4, translation); | 346 EXPECT_ROW3_EQ(0, 0, 1, 4, translation); |
| 347 EXPECT_ROW4_EQ(0, 0, 0, 1, translation); | 347 EXPECT_ROW4_EQ(0, 0, 0, 1, translation); |
| 348 | 348 |
| 349 // Invert a non-uniform scale | 349 // Invert a non-uniform scale |
| 350 gfx::Transform scale; | 350 gfx::Transform scale; |
| 351 scale.PreconcatScale3d(4, 10, 100); | 351 scale.Scale3d(4, 10, 100); |
| 352 EXPECT_TRUE(MathUtil::isInvertible(scale)); | 352 EXPECT_TRUE(MathUtil::isInvertible(scale)); |
| 353 | 353 |
| 354 gfx::Transform inverseScale = MathUtil::inverse(scale); | 354 gfx::Transform inverseScale = MathUtil::inverse(scale); |
| 355 EXPECT_ROW1_EQ(0.25, 0, 0, 0, inverseScale); | 355 EXPECT_ROW1_EQ(0.25, 0, 0, 0, inverseScale); |
| 356 EXPECT_ROW2_EQ(0, .1f, 0, 0, inverseScale); | 356 EXPECT_ROW2_EQ(0, .1f, 0, 0, inverseScale); |
| 357 EXPECT_ROW3_EQ(0, 0, .01f, 0, inverseScale); | 357 EXPECT_ROW3_EQ(0, 0, .01f, 0, inverseScale); |
| 358 EXPECT_ROW4_EQ(0, 0, 0, 1, inverseScale); | 358 EXPECT_ROW4_EQ(0, 0, 0, 1, inverseScale); |
| 359 | 359 |
| 360 // Try to invert a matrix that is not invertible. | 360 // Try to invert a matrix that is not invertible. |
| 361 // The inverse() function should simply return an identity matrix. | 361 // The inverse() function should simply return an identity matrix. |
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| 505 gfx::Transform C = A * B; | 505 gfx::Transform C = A * B; |
| 506 EXPECT_ROW1_EQ(2036, 2292, 2548, 2804, C); | 506 EXPECT_ROW1_EQ(2036, 2292, 2548, 2804, C); |
| 507 EXPECT_ROW2_EQ(2162, 2434, 2706, 2978, C); | 507 EXPECT_ROW2_EQ(2162, 2434, 2706, 2978, C); |
| 508 EXPECT_ROW3_EQ(2288, 2576, 2864, 3152, C); | 508 EXPECT_ROW3_EQ(2288, 2576, 2864, 3152, C); |
| 509 EXPECT_ROW4_EQ(2414, 2718, 3022, 3326, C); | 509 EXPECT_ROW4_EQ(2414, 2718, 3022, 3326, C); |
| 510 | 510 |
| 511 // Just an additional sanity check; matrix multiplication is not commutative
. | 511 // Just an additional sanity check; matrix multiplication is not commutative
. |
| 512 EXPECT_FALSE(A * B == B * A); | 512 EXPECT_FALSE(A * B == B * A); |
| 513 } | 513 } |
| 514 | 514 |
| 515 TEST(MathUtilGfxTransformTest, verifyMultiplyAndAssignOperator) |
| 516 { |
| 517 gfx::Transform A; |
| 518 initializeTestMatrix(&A); |
| 519 |
| 520 gfx::Transform B; |
| 521 initializeTestMatrix2(&B); |
| 522 |
| 523 A *= B; |
| 524 EXPECT_ROW1_EQ(2036, 2292, 2548, 2804, A); |
| 525 EXPECT_ROW2_EQ(2162, 2434, 2706, 2978, A); |
| 526 EXPECT_ROW3_EQ(2288, 2576, 2864, 3152, A); |
| 527 EXPECT_ROW4_EQ(2414, 2718, 3022, 3326, A); |
| 528 |
| 529 // Just an additional sanity check; matrix multiplication is not commutative
. |
| 530 gfx::Transform C = A; |
| 531 C *= B; |
| 532 gfx::Transform D = B; |
| 533 D *= A; |
| 534 EXPECT_FALSE(C == D); |
| 535 } |
| 536 |
| 515 TEST(MathUtilGfxTransformTest, verifyMatrixMultiplication) | 537 TEST(MathUtilGfxTransformTest, verifyMatrixMultiplication) |
| 516 { | 538 { |
| 517 gfx::Transform A; | 539 gfx::Transform A; |
| 518 initializeTestMatrix(&A); | 540 initializeTestMatrix(&A); |
| 519 | 541 |
| 520 gfx::Transform B; | 542 gfx::Transform B; |
| 521 initializeTestMatrix2(&B); | 543 initializeTestMatrix2(&B); |
| 522 | 544 |
| 523 A.PreconcatTransform(B); | 545 A.PreconcatTransform(B); |
| 524 EXPECT_ROW1_EQ(2036, 2292, 2548, 2804, A); | 546 EXPECT_ROW1_EQ(2036, 2292, 2548, 2804, A); |
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| 535 EXPECT_ROW1_EQ(1, 0, 0, 0, A); | 557 EXPECT_ROW1_EQ(1, 0, 0, 0, A); |
| 536 EXPECT_ROW2_EQ(0, 1, 0, 0, A); | 558 EXPECT_ROW2_EQ(0, 1, 0, 0, A); |
| 537 EXPECT_ROW3_EQ(0, 0, 1, 0, A); | 559 EXPECT_ROW3_EQ(0, 0, 1, 0, A); |
| 538 EXPECT_ROW4_EQ(0, 0, 0, 1, A); | 560 EXPECT_ROW4_EQ(0, 0, 0, 1, A); |
| 539 EXPECT_TRUE(MathUtil::isIdentity(A)); | 561 EXPECT_TRUE(MathUtil::isIdentity(A)); |
| 540 } | 562 } |
| 541 | 563 |
| 542 TEST(MathUtilGfxTransformTest, verifyTranslate) | 564 TEST(MathUtilGfxTransformTest, verifyTranslate) |
| 543 { | 565 { |
| 544 gfx::Transform A; | 566 gfx::Transform A; |
| 545 A.PreconcatTranslate(2, 3); | 567 A.Translate(2, 3); |
| 546 EXPECT_ROW1_EQ(1, 0, 0, 2, A); | 568 EXPECT_ROW1_EQ(1, 0, 0, 2, A); |
| 547 EXPECT_ROW2_EQ(0, 1, 0, 3, A); | 569 EXPECT_ROW2_EQ(0, 1, 0, 3, A); |
| 548 EXPECT_ROW3_EQ(0, 0, 1, 0, A); | 570 EXPECT_ROW3_EQ(0, 0, 1, 0, A); |
| 549 EXPECT_ROW4_EQ(0, 0, 0, 1, A); | 571 EXPECT_ROW4_EQ(0, 0, 0, 1, A); |
| 550 | 572 |
| 551 // Verify that PreconcatTranslate() post-multiplies the existing matrix. | 573 // Verify that Translate() post-multiplies the existing matrix. |
| 552 MathUtil::makeIdentity(&A); | 574 MathUtil::makeIdentity(&A); |
| 553 A.PreconcatScale(5, 5); | 575 A.Scale(5, 5); |
| 554 A.PreconcatTranslate(2, 3); | 576 A.Translate(2, 3); |
| 555 EXPECT_ROW1_EQ(5, 0, 0, 10, A); | 577 EXPECT_ROW1_EQ(5, 0, 0, 10, A); |
| 556 EXPECT_ROW2_EQ(0, 5, 0, 15, A); | 578 EXPECT_ROW2_EQ(0, 5, 0, 15, A); |
| 557 EXPECT_ROW3_EQ(0, 0, 1, 0, A); | 579 EXPECT_ROW3_EQ(0, 0, 1, 0, A); |
| 558 EXPECT_ROW4_EQ(0, 0, 0, 1, A); | 580 EXPECT_ROW4_EQ(0, 0, 0, 1, A); |
| 559 } | 581 } |
| 560 | 582 |
| 561 TEST(MathUtilGfxTransformTest, verifyTranslate3d) | 583 TEST(MathUtilGfxTransformTest, verifyTranslate3d) |
| 562 { | 584 { |
| 563 gfx::Transform A; | 585 gfx::Transform A; |
| 564 A.PreconcatTranslate3d(2, 3, 4); | 586 A.Translate3d(2, 3, 4); |
| 565 EXPECT_ROW1_EQ(1, 0, 0, 2, A); | 587 EXPECT_ROW1_EQ(1, 0, 0, 2, A); |
| 566 EXPECT_ROW2_EQ(0, 1, 0, 3, A); | 588 EXPECT_ROW2_EQ(0, 1, 0, 3, A); |
| 567 EXPECT_ROW3_EQ(0, 0, 1, 4, A); | 589 EXPECT_ROW3_EQ(0, 0, 1, 4, A); |
| 568 EXPECT_ROW4_EQ(0, 0, 0, 1, A); | 590 EXPECT_ROW4_EQ(0, 0, 0, 1, A); |
| 569 | 591 |
| 570 // Verify that PreconcatTranslate3d() post-multiplies the existing matrix. | 592 // Verify that Translate3d() post-multiplies the existing matrix. |
| 571 MathUtil::makeIdentity(&A); | 593 MathUtil::makeIdentity(&A); |
| 572 A.PreconcatScale3d(6, 7, 8); | 594 A.Scale3d(6, 7, 8); |
| 573 A.PreconcatTranslate3d(2, 3, 4); | 595 A.Translate3d(2, 3, 4); |
| 574 EXPECT_ROW1_EQ(6, 0, 0, 12, A); | 596 EXPECT_ROW1_EQ(6, 0, 0, 12, A); |
| 575 EXPECT_ROW2_EQ(0, 7, 0, 21, A); | 597 EXPECT_ROW2_EQ(0, 7, 0, 21, A); |
| 576 EXPECT_ROW3_EQ(0, 0, 8, 32, A); | 598 EXPECT_ROW3_EQ(0, 0, 8, 32, A); |
| 577 EXPECT_ROW4_EQ(0, 0, 0, 1, A); | 599 EXPECT_ROW4_EQ(0, 0, 0, 1, A); |
| 578 } | 600 } |
| 579 | 601 |
| 580 TEST(MathUtilGfxTransformTest, verifyScale) | 602 TEST(MathUtilGfxTransformTest, verifyScale) |
| 581 { | 603 { |
| 582 gfx::Transform A; | 604 gfx::Transform A; |
| 583 A.PreconcatScale(6, 7); | 605 A.Scale(6, 7); |
| 584 EXPECT_ROW1_EQ(6, 0, 0, 0, A); | 606 EXPECT_ROW1_EQ(6, 0, 0, 0, A); |
| 585 EXPECT_ROW2_EQ(0, 7, 0, 0, A); | 607 EXPECT_ROW2_EQ(0, 7, 0, 0, A); |
| 586 EXPECT_ROW3_EQ(0, 0, 1, 0, A); | 608 EXPECT_ROW3_EQ(0, 0, 1, 0, A); |
| 587 EXPECT_ROW4_EQ(0, 0, 0, 1, A); | 609 EXPECT_ROW4_EQ(0, 0, 0, 1, A); |
| 588 | 610 |
| 589 // Verify that PreconcatScale() post-multiplies the existing matrix. | 611 // Verify that Scale() post-multiplies the existing matrix. |
| 590 MathUtil::makeIdentity(&A); | 612 MathUtil::makeIdentity(&A); |
| 591 A.PreconcatTranslate3d(2, 3, 4); | 613 A.Translate3d(2, 3, 4); |
| 592 A.PreconcatScale(6, 7); | 614 A.Scale(6, 7); |
| 593 EXPECT_ROW1_EQ(6, 0, 0, 2, A); | 615 EXPECT_ROW1_EQ(6, 0, 0, 2, A); |
| 594 EXPECT_ROW2_EQ(0, 7, 0, 3, A); | 616 EXPECT_ROW2_EQ(0, 7, 0, 3, A); |
| 595 EXPECT_ROW3_EQ(0, 0, 1, 4, A); | 617 EXPECT_ROW3_EQ(0, 0, 1, 4, A); |
| 596 EXPECT_ROW4_EQ(0, 0, 0, 1, A); | 618 EXPECT_ROW4_EQ(0, 0, 0, 1, A); |
| 597 } | 619 } |
| 598 | 620 |
| 599 TEST(MathUtilGfxTransformTest, verifyScale3d) | 621 TEST(MathUtilGfxTransformTest, verifyScale3d) |
| 600 { | 622 { |
| 601 gfx::Transform A; | 623 gfx::Transform A; |
| 602 A.PreconcatScale3d(6, 7, 8); | 624 A.Scale3d(6, 7, 8); |
| 603 EXPECT_ROW1_EQ(6, 0, 0, 0, A); | 625 EXPECT_ROW1_EQ(6, 0, 0, 0, A); |
| 604 EXPECT_ROW2_EQ(0, 7, 0, 0, A); | 626 EXPECT_ROW2_EQ(0, 7, 0, 0, A); |
| 605 EXPECT_ROW3_EQ(0, 0, 8, 0, A); | 627 EXPECT_ROW3_EQ(0, 0, 8, 0, A); |
| 606 EXPECT_ROW4_EQ(0, 0, 0, 1, A); | 628 EXPECT_ROW4_EQ(0, 0, 0, 1, A); |
| 607 | 629 |
| 608 // Verify that scale3d() post-multiplies the existing matrix. | 630 // Verify that scale3d() post-multiplies the existing matrix. |
| 609 MathUtil::makeIdentity(&A); | 631 MathUtil::makeIdentity(&A); |
| 610 A.PreconcatTranslate3d(2, 3, 4); | 632 A.Translate3d(2, 3, 4); |
| 611 A.PreconcatScale3d(6, 7, 8); | 633 A.Scale3d(6, 7, 8); |
| 612 EXPECT_ROW1_EQ(6, 0, 0, 2, A); | 634 EXPECT_ROW1_EQ(6, 0, 0, 2, A); |
| 613 EXPECT_ROW2_EQ(0, 7, 0, 3, A); | 635 EXPECT_ROW2_EQ(0, 7, 0, 3, A); |
| 614 EXPECT_ROW3_EQ(0, 0, 8, 4, A); | 636 EXPECT_ROW3_EQ(0, 0, 8, 4, A); |
| 615 EXPECT_ROW4_EQ(0, 0, 0, 1, A); | 637 EXPECT_ROW4_EQ(0, 0, 0, 1, A); |
| 616 } | 638 } |
| 617 | 639 |
| 618 TEST(MathUtilGfxTransformTest, verifyRotate) | 640 TEST(MathUtilGfxTransformTest, verifyRotate) |
| 619 { | 641 { |
| 620 gfx::Transform A; | 642 gfx::Transform A; |
| 621 A.PreconcatRotate(90); | 643 A.Rotate(90); |
| 622 EXPECT_ROW1_NEAR(0, -1, 0, 0, A, ERROR_THRESHOLD); | 644 EXPECT_ROW1_NEAR(0, -1, 0, 0, A, ERROR_THRESHOLD); |
| 623 EXPECT_ROW2_NEAR(1, 0, 0, 0, A, ERROR_THRESHOLD); | 645 EXPECT_ROW2_NEAR(1, 0, 0, 0, A, ERROR_THRESHOLD); |
| 624 EXPECT_ROW3_EQ(0, 0, 1, 0, A); | 646 EXPECT_ROW3_EQ(0, 0, 1, 0, A); |
| 625 EXPECT_ROW4_EQ(0, 0, 0, 1, A); | 647 EXPECT_ROW4_EQ(0, 0, 0, 1, A); |
| 626 | 648 |
| 627 // Verify that PreconcatRotate() post-multiplies the existing matrix. | 649 // Verify that Rotate() post-multiplies the existing matrix. |
| 628 MathUtil::makeIdentity(&A); | 650 MathUtil::makeIdentity(&A); |
| 629 A.PreconcatScale3d(6, 7, 8); | 651 A.Scale3d(6, 7, 8); |
| 630 A.PreconcatRotate(90); | 652 A.Rotate(90); |
| 631 EXPECT_ROW1_NEAR(0, -6, 0, 0, A, ERROR_THRESHOLD); | 653 EXPECT_ROW1_NEAR(0, -6, 0, 0, A, ERROR_THRESHOLD); |
| 632 EXPECT_ROW2_NEAR(7, 0, 0, 0, A, ERROR_THRESHOLD); | 654 EXPECT_ROW2_NEAR(7, 0, 0, 0, A, ERROR_THRESHOLD); |
| 633 EXPECT_ROW3_EQ(0, 0, 8, 0, A); | 655 EXPECT_ROW3_EQ(0, 0, 8, 0, A); |
| 634 EXPECT_ROW4_EQ(0, 0, 0, 1, A); | 656 EXPECT_ROW4_EQ(0, 0, 0, 1, A); |
| 635 } | 657 } |
| 636 | 658 |
| 637 TEST(MathUtilGfxTransformTest, verifyRotateEulerAngles) | 659 TEST(MathUtilGfxTransformTest, verifyRotateEulerAngles) |
| 638 { | 660 { |
| 639 gfx::Transform A; | 661 gfx::Transform A; |
| 640 | 662 |
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| 658 // Note carefully, the expected pattern is inverted compared to rotating abo
ut x axis or z axis. | 680 // Note carefully, the expected pattern is inverted compared to rotating abo
ut x axis or z axis. |
| 659 MathUtil::makeIdentity(&A); | 681 MathUtil::makeIdentity(&A); |
| 660 MathUtil::rotateEulerAngles(&A, 0, 90, 0); | 682 MathUtil::rotateEulerAngles(&A, 0, 90, 0); |
| 661 EXPECT_ROW1_NEAR(0, 0, 1, 0, A, ERROR_THRESHOLD); | 683 EXPECT_ROW1_NEAR(0, 0, 1, 0, A, ERROR_THRESHOLD); |
| 662 EXPECT_ROW2_EQ(0, 1, 0, 0, A); | 684 EXPECT_ROW2_EQ(0, 1, 0, 0, A); |
| 663 EXPECT_ROW3_NEAR(-1, 0, 0, 0, A, ERROR_THRESHOLD); | 685 EXPECT_ROW3_NEAR(-1, 0, 0, 0, A, ERROR_THRESHOLD); |
| 664 EXPECT_ROW4_EQ(0, 0, 0, 1, A); | 686 EXPECT_ROW4_EQ(0, 0, 0, 1, A); |
| 665 | 687 |
| 666 // Verify that rotate3d(rx, ry, rz) post-multiplies the existing matrix. | 688 // Verify that rotate3d(rx, ry, rz) post-multiplies the existing matrix. |
| 667 MathUtil::makeIdentity(&A); | 689 MathUtil::makeIdentity(&A); |
| 668 A.PreconcatScale3d(6, 7, 8); | 690 A.Scale3d(6, 7, 8); |
| 669 MathUtil::rotateEulerAngles(&A, 0, 0, 90); | 691 MathUtil::rotateEulerAngles(&A, 0, 0, 90); |
| 670 EXPECT_ROW1_NEAR(0, -6, 0, 0, A, ERROR_THRESHOLD); | 692 EXPECT_ROW1_NEAR(0, -6, 0, 0, A, ERROR_THRESHOLD); |
| 671 EXPECT_ROW2_NEAR(7, 0, 0, 0, A, ERROR_THRESHOLD); | 693 EXPECT_ROW2_NEAR(7, 0, 0, 0, A, ERROR_THRESHOLD); |
| 672 EXPECT_ROW3_EQ(0, 0, 8, 0, A); | 694 EXPECT_ROW3_EQ(0, 0, 8, 0, A); |
| 673 EXPECT_ROW4_EQ(0, 0, 0, 1, A); | 695 EXPECT_ROW4_EQ(0, 0, 0, 1, A); |
| 674 } | 696 } |
| 675 | 697 |
| 676 TEST(MathUtilGfxTransformTest, verifyRotateEulerAnglesOrderOfCompositeRotations) | 698 TEST(MathUtilGfxTransformTest, verifyRotateEulerAnglesOrderOfCompositeRotations) |
| 677 { | 699 { |
| 678 // Rotate3d(degreesX, degreesY, degreesZ) is actually composite transform co
nsiting of | 700 // Rotate3d(degreesX, degreesY, degreesZ) is actually composite transform co
nsiting of |
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| 731 // Note carefully, the expected pattern is inverted compared to rotating abo
ut x axis or z axis. | 753 // Note carefully, the expected pattern is inverted compared to rotating abo
ut x axis or z axis. |
| 732 MathUtil::makeIdentity(&A); | 754 MathUtil::makeIdentity(&A); |
| 733 MathUtil::rotateAxisAngle(&A, 0, 1, 0, 90); | 755 MathUtil::rotateAxisAngle(&A, 0, 1, 0, 90); |
| 734 EXPECT_ROW1_NEAR(0, 0, 1, 0, A, ERROR_THRESHOLD); | 756 EXPECT_ROW1_NEAR(0, 0, 1, 0, A, ERROR_THRESHOLD); |
| 735 EXPECT_ROW2_EQ(0, 1, 0, 0, A); | 757 EXPECT_ROW2_EQ(0, 1, 0, 0, A); |
| 736 EXPECT_ROW3_NEAR(-1, 0, 0, 0, A, ERROR_THRESHOLD); | 758 EXPECT_ROW3_NEAR(-1, 0, 0, 0, A, ERROR_THRESHOLD); |
| 737 EXPECT_ROW4_EQ(0, 0, 0, 1, A); | 759 EXPECT_ROW4_EQ(0, 0, 0, 1, A); |
| 738 | 760 |
| 739 // Verify that rotate3d(axis, angle) post-multiplies the existing matrix. | 761 // Verify that rotate3d(axis, angle) post-multiplies the existing matrix. |
| 740 MathUtil::makeIdentity(&A); | 762 MathUtil::makeIdentity(&A); |
| 741 A.PreconcatScale3d(6, 7, 8); | 763 A.Scale3d(6, 7, 8); |
| 742 MathUtil::rotateAxisAngle(&A, 0, 0, 1, 90); | 764 MathUtil::rotateAxisAngle(&A, 0, 0, 1, 90); |
| 743 EXPECT_ROW1_NEAR(0, -6, 0, 0, A, ERROR_THRESHOLD); | 765 EXPECT_ROW1_NEAR(0, -6, 0, 0, A, ERROR_THRESHOLD); |
| 744 EXPECT_ROW2_NEAR(7, 0, 0, 0, A, ERROR_THRESHOLD); | 766 EXPECT_ROW2_NEAR(7, 0, 0, 0, A, ERROR_THRESHOLD); |
| 745 EXPECT_ROW3_EQ(0, 0, 8, 0, A); | 767 EXPECT_ROW3_EQ(0, 0, 8, 0, A); |
| 746 EXPECT_ROW4_EQ(0, 0, 0, 1, A); | 768 EXPECT_ROW4_EQ(0, 0, 0, 1, A); |
| 747 } | 769 } |
| 748 | 770 |
| 749 TEST(MathUtilGfxTransformTest, verifyRotateAxisAngleForArbitraryAxis) | 771 TEST(MathUtilGfxTransformTest, verifyRotateAxisAngleForArbitraryAxis) |
| 750 { | 772 { |
| 751 // Check rotation about an arbitrary non-axis-aligned vector. | 773 // Check rotation about an arbitrary non-axis-aligned vector. |
| (...skipping 30 matching lines...) Expand all Loading... |
| 782 // Verify that A remains unchanged. | 804 // Verify that A remains unchanged. |
| 783 EXPECT_ROW1_EQ(10, 14, 18, 22, A); | 805 EXPECT_ROW1_EQ(10, 14, 18, 22, A); |
| 784 EXPECT_ROW2_EQ(11, 15, 19, 23, A); | 806 EXPECT_ROW2_EQ(11, 15, 19, 23, A); |
| 785 EXPECT_ROW3_EQ(12, 16, 20, 24, A); | 807 EXPECT_ROW3_EQ(12, 16, 20, 24, A); |
| 786 EXPECT_ROW4_EQ(13, 17, 21, 25, A); | 808 EXPECT_ROW4_EQ(13, 17, 21, 25, A); |
| 787 } | 809 } |
| 788 | 810 |
| 789 TEST(MathUtilGfxTransformTest, verifySkewX) | 811 TEST(MathUtilGfxTransformTest, verifySkewX) |
| 790 { | 812 { |
| 791 gfx::Transform A; | 813 gfx::Transform A; |
| 792 A.PreconcatSkewX(45); | 814 A.SkewX(45); |
| 793 EXPECT_ROW1_EQ(1, 1, 0, 0, A); | 815 EXPECT_ROW1_EQ(1, 1, 0, 0, A); |
| 794 EXPECT_ROW2_EQ(0, 1, 0, 0, A); | 816 EXPECT_ROW2_EQ(0, 1, 0, 0, A); |
| 795 EXPECT_ROW3_EQ(0, 0, 1, 0, A); | 817 EXPECT_ROW3_EQ(0, 0, 1, 0, A); |
| 796 EXPECT_ROW4_EQ(0, 0, 0, 1, A); | 818 EXPECT_ROW4_EQ(0, 0, 0, 1, A); |
| 797 | 819 |
| 798 // Verify that skewX() post-multiplies the existing matrix. | 820 // Verify that skewX() post-multiplies the existing matrix. |
| 799 // Row 1, column 2, would incorrectly have value "7" if the matrix is pre-mu
ltiplied instead of post-multiplied. | 821 // Row 1, column 2, would incorrectly have value "7" if the matrix is pre-mu
ltiplied instead of post-multiplied. |
| 800 MathUtil::makeIdentity(&A); | 822 MathUtil::makeIdentity(&A); |
| 801 A.PreconcatScale3d(6, 7, 8); | 823 A.Scale3d(6, 7, 8); |
| 802 A.PreconcatSkewX(45); | 824 A.SkewX(45); |
| 803 EXPECT_ROW1_EQ(6, 6, 0, 0, A); | 825 EXPECT_ROW1_EQ(6, 6, 0, 0, A); |
| 804 EXPECT_ROW2_EQ(0, 7, 0, 0, A); | 826 EXPECT_ROW2_EQ(0, 7, 0, 0, A); |
| 805 EXPECT_ROW3_EQ(0, 0, 8, 0, A); | 827 EXPECT_ROW3_EQ(0, 0, 8, 0, A); |
| 806 EXPECT_ROW4_EQ(0, 0, 0, 1, A); | 828 EXPECT_ROW4_EQ(0, 0, 0, 1, A); |
| 807 } | 829 } |
| 808 | 830 |
| 809 TEST(MathUtilGfxTransformTest, verifySkewY) | 831 TEST(MathUtilGfxTransformTest, verifySkewY) |
| 810 { | 832 { |
| 811 gfx::Transform A; | 833 gfx::Transform A; |
| 812 A.PreconcatSkewY(45); | 834 A.SkewY(45); |
| 813 EXPECT_ROW1_EQ(1, 0, 0, 0, A); | 835 EXPECT_ROW1_EQ(1, 0, 0, 0, A); |
| 814 EXPECT_ROW2_EQ(1, 1, 0, 0, A); | 836 EXPECT_ROW2_EQ(1, 1, 0, 0, A); |
| 815 EXPECT_ROW3_EQ(0, 0, 1, 0, A); | 837 EXPECT_ROW3_EQ(0, 0, 1, 0, A); |
| 816 EXPECT_ROW4_EQ(0, 0, 0, 1, A); | 838 EXPECT_ROW4_EQ(0, 0, 0, 1, A); |
| 817 | 839 |
| 818 // Verify that skewY() post-multiplies the existing matrix. | 840 // Verify that skewY() post-multiplies the existing matrix. |
| 819 // Row 2, column 1, would incorrectly have value "6" if the matrix is pre-mu
ltiplied instead of post-multiplied. | 841 // Row 2, column 1, would incorrectly have value "6" if the matrix is pre-mu
ltiplied instead of post-multiplied. |
| 820 MathUtil::makeIdentity(&A); | 842 MathUtil::makeIdentity(&A); |
| 821 A.PreconcatScale3d(6, 7, 8); | 843 A.Scale3d(6, 7, 8); |
| 822 A.PreconcatSkewY(45); | 844 A.SkewY(45); |
| 823 EXPECT_ROW1_EQ(6, 0, 0, 0, A); | 845 EXPECT_ROW1_EQ(6, 0, 0, 0, A); |
| 824 EXPECT_ROW2_EQ(7, 7, 0, 0, A); | 846 EXPECT_ROW2_EQ(7, 7, 0, 0, A); |
| 825 EXPECT_ROW3_EQ(0, 0, 8, 0, A); | 847 EXPECT_ROW3_EQ(0, 0, 8, 0, A); |
| 826 EXPECT_ROW4_EQ(0, 0, 0, 1, A); | 848 EXPECT_ROW4_EQ(0, 0, 0, 1, A); |
| 827 } | 849 } |
| 828 | 850 |
| 829 TEST(MathUtilGfxTransformTest, verifyPerspectiveDepth) | 851 TEST(MathUtilGfxTransformTest, verifyPerspectiveDepth) |
| 830 { | 852 { |
| 831 gfx::Transform A; | 853 gfx::Transform A; |
| 832 A.PreconcatPerspectiveDepth(1); | 854 A.ApplyPerspectiveDepth(1); |
| 833 EXPECT_ROW1_EQ(1, 0, 0, 0, A); | 855 EXPECT_ROW1_EQ(1, 0, 0, 0, A); |
| 834 EXPECT_ROW2_EQ(0, 1, 0, 0, A); | 856 EXPECT_ROW2_EQ(0, 1, 0, 0, A); |
| 835 EXPECT_ROW3_EQ(0, 0, 1, 0, A); | 857 EXPECT_ROW3_EQ(0, 0, 1, 0, A); |
| 836 EXPECT_ROW4_EQ(0, 0, -1, 1, A); | 858 EXPECT_ROW4_EQ(0, 0, -1, 1, A); |
| 837 | 859 |
| 838 // Verify that PreconcatPerspectiveDepth() post-multiplies the existing matr
ix. | 860 // Verify that PerspectiveDepth() post-multiplies the existing matrix. |
| 839 MathUtil::makeIdentity(&A); | 861 MathUtil::makeIdentity(&A); |
| 840 A.PreconcatTranslate3d(2, 3, 4); | 862 A.Translate3d(2, 3, 4); |
| 841 A.PreconcatPerspectiveDepth(1); | 863 A.ApplyPerspectiveDepth(1); |
| 842 EXPECT_ROW1_EQ(1, 0, -2, 2, A); | 864 EXPECT_ROW1_EQ(1, 0, -2, 2, A); |
| 843 EXPECT_ROW2_EQ(0, 1, -3, 3, A); | 865 EXPECT_ROW2_EQ(0, 1, -3, 3, A); |
| 844 EXPECT_ROW3_EQ(0, 0, -3, 4, A); | 866 EXPECT_ROW3_EQ(0, 0, -3, 4, A); |
| 845 EXPECT_ROW4_EQ(0, 0, -1, 1, A); | 867 EXPECT_ROW4_EQ(0, 0, -1, 1, A); |
| 846 } | 868 } |
| 847 | 869 |
| 848 TEST(MathUtilGfxTransformTest, verifyHasPerspective) | 870 TEST(MathUtilGfxTransformTest, verifyHasPerspective) |
| 849 { | 871 { |
| 850 gfx::Transform A; | 872 gfx::Transform A; |
| 851 A.PreconcatPerspectiveDepth(1); | 873 A.ApplyPerspectiveDepth(1); |
| 852 EXPECT_TRUE(MathUtil::hasPerspective(A)); | 874 EXPECT_TRUE(MathUtil::hasPerspective(A)); |
| 853 | 875 |
| 854 MathUtil::makeIdentity(&A); | 876 MathUtil::makeIdentity(&A); |
| 855 A.PreconcatPerspectiveDepth(0); | 877 A.ApplyPerspectiveDepth(0); |
| 856 EXPECT_FALSE(MathUtil::hasPerspective(A)); | 878 EXPECT_FALSE(MathUtil::hasPerspective(A)); |
| 857 | 879 |
| 858 MathUtil::makeIdentity(&A); | 880 MathUtil::makeIdentity(&A); |
| 859 A.matrix().setDouble(3, 0, -1); | 881 A.matrix().setDouble(3, 0, -1); |
| 860 EXPECT_TRUE(MathUtil::hasPerspective(A)); | 882 EXPECT_TRUE(MathUtil::hasPerspective(A)); |
| 861 | 883 |
| 862 MathUtil::makeIdentity(&A); | 884 MathUtil::makeIdentity(&A); |
| 863 A.matrix().setDouble(3, 1, -1); | 885 A.matrix().setDouble(3, 1, -1); |
| 864 EXPECT_TRUE(MathUtil::hasPerspective(A)); | 886 EXPECT_TRUE(MathUtil::hasPerspective(A)); |
| 865 | 887 |
| (...skipping 12 matching lines...) Expand all Loading... |
| 878 | 900 |
| 879 TEST(MathUtilGfxTransformTest, verifyIsInvertible) | 901 TEST(MathUtilGfxTransformTest, verifyIsInvertible) |
| 880 { | 902 { |
| 881 gfx::Transform A; | 903 gfx::Transform A; |
| 882 | 904 |
| 883 // Translations, rotations, scales, skews and arbitrary combinations of them
are invertible. | 905 // Translations, rotations, scales, skews and arbitrary combinations of them
are invertible. |
| 884 MathUtil::makeIdentity(&A); | 906 MathUtil::makeIdentity(&A); |
| 885 EXPECT_TRUE(MathUtil::isInvertible(A)); | 907 EXPECT_TRUE(MathUtil::isInvertible(A)); |
| 886 | 908 |
| 887 MathUtil::makeIdentity(&A); | 909 MathUtil::makeIdentity(&A); |
| 888 A.PreconcatTranslate3d(2, 3, 4); | 910 A.Translate3d(2, 3, 4); |
| 889 EXPECT_TRUE(MathUtil::isInvertible(A)); | 911 EXPECT_TRUE(MathUtil::isInvertible(A)); |
| 890 | 912 |
| 891 MathUtil::makeIdentity(&A); | 913 MathUtil::makeIdentity(&A); |
| 892 A.PreconcatScale3d(6, 7, 8); | 914 A.Scale3d(6, 7, 8); |
| 893 EXPECT_TRUE(MathUtil::isInvertible(A)); | 915 EXPECT_TRUE(MathUtil::isInvertible(A)); |
| 894 | 916 |
| 895 MathUtil::makeIdentity(&A); | 917 MathUtil::makeIdentity(&A); |
| 896 MathUtil::rotateEulerAngles(&A, 10, 20, 30); | 918 MathUtil::rotateEulerAngles(&A, 10, 20, 30); |
| 897 EXPECT_TRUE(MathUtil::isInvertible(A)); | 919 EXPECT_TRUE(MathUtil::isInvertible(A)); |
| 898 | 920 |
| 899 MathUtil::makeIdentity(&A); | 921 MathUtil::makeIdentity(&A); |
| 900 A.PreconcatSkewX(45); | 922 A.SkewX(45); |
| 901 EXPECT_TRUE(MathUtil::isInvertible(A)); | 923 EXPECT_TRUE(MathUtil::isInvertible(A)); |
| 902 | 924 |
| 903 // A perspective matrix (projection plane at z=0) is invertible. The intuiti
ve | 925 // A perspective matrix (projection plane at z=0) is invertible. The intuiti
ve |
| 904 // explanation is that perspective is eqivalent to a skew of the w-axis; ske
ws are | 926 // explanation is that perspective is eqivalent to a skew of the w-axis; ske
ws are |
| 905 // invertible. | 927 // invertible. |
| 906 MathUtil::makeIdentity(&A); | 928 MathUtil::makeIdentity(&A); |
| 907 A.PreconcatPerspectiveDepth(1); | 929 A.ApplyPerspectiveDepth(1); |
| 908 EXPECT_TRUE(MathUtil::isInvertible(A)); | 930 EXPECT_TRUE(MathUtil::isInvertible(A)); |
| 909 | 931 |
| 910 // A "pure" perspective matrix derived by similar triangles, with m44() set
to zero | 932 // A "pure" perspective matrix derived by similar triangles, with m44() set
to zero |
| 911 // (i.e. camera positioned at the origin), is not invertible. | 933 // (i.e. camera positioned at the origin), is not invertible. |
| 912 MathUtil::makeIdentity(&A); | 934 MathUtil::makeIdentity(&A); |
| 913 A.PreconcatPerspectiveDepth(1); | 935 A.ApplyPerspectiveDepth(1); |
| 914 A.matrix().setDouble(3, 3, 0); | 936 A.matrix().setDouble(3, 3, 0); |
| 915 EXPECT_FALSE(MathUtil::isInvertible(A)); | 937 EXPECT_FALSE(MathUtil::isInvertible(A)); |
| 916 | 938 |
| 917 // Adding more to a non-invertible matrix will not make it invertible in the
general case. | 939 // Adding more to a non-invertible matrix will not make it invertible in the
general case. |
| 918 MathUtil::makeIdentity(&A); | 940 MathUtil::makeIdentity(&A); |
| 919 A.PreconcatPerspectiveDepth(1); | 941 A.ApplyPerspectiveDepth(1); |
| 920 A.matrix().setDouble(3, 3, 0); | 942 A.matrix().setDouble(3, 3, 0); |
| 921 A.PreconcatScale3d(6, 7, 8); | 943 A.Scale3d(6, 7, 8); |
| 922 MathUtil::rotateEulerAngles(&A, 10, 20, 30); | 944 MathUtil::rotateEulerAngles(&A, 10, 20, 30); |
| 923 A.PreconcatTranslate3d(6, 7, 8); | 945 A.Translate3d(6, 7, 8); |
| 924 EXPECT_FALSE(MathUtil::isInvertible(A)); | 946 EXPECT_FALSE(MathUtil::isInvertible(A)); |
| 925 | 947 |
| 926 // A degenerate matrix of all zeros is not invertible. | 948 // A degenerate matrix of all zeros is not invertible. |
| 927 MathUtil::makeIdentity(&A); | 949 MathUtil::makeIdentity(&A); |
| 928 A.matrix().setDouble(0, 0, 0); | 950 A.matrix().setDouble(0, 0, 0); |
| 929 A.matrix().setDouble(1, 1, 0); | 951 A.matrix().setDouble(1, 1, 0); |
| 930 A.matrix().setDouble(2, 2, 0); | 952 A.matrix().setDouble(2, 2, 0); |
| 931 A.matrix().setDouble(3, 3, 0); | 953 A.matrix().setDouble(3, 3, 0); |
| 932 EXPECT_FALSE(MathUtil::isInvertible(A)); | 954 EXPECT_FALSE(MathUtil::isInvertible(A)); |
| 933 } | 955 } |
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| 1084 A.matrix().setDouble(2, 3, 2); | 1106 A.matrix().setDouble(2, 3, 2); |
| 1085 EXPECT_TRUE(MathUtil::isIdentityOrTranslation(A)); | 1107 EXPECT_TRUE(MathUtil::isIdentityOrTranslation(A)); |
| 1086 | 1108 |
| 1087 MathUtil::makeIdentity(&A); | 1109 MathUtil::makeIdentity(&A); |
| 1088 A.matrix().setDouble(3, 3, 2); | 1110 A.matrix().setDouble(3, 3, 2); |
| 1089 EXPECT_FALSE(MathUtil::isIdentityOrTranslation(A)); | 1111 EXPECT_FALSE(MathUtil::isIdentityOrTranslation(A)); |
| 1090 } | 1112 } |
| 1091 | 1113 |
| 1092 } // namespace | 1114 } // namespace |
| 1093 } // namespace cc | 1115 } // namespace cc |
| OLD | NEW |