Enable webkit_compositor_unittests

webkit/compositor/WebTransformationMatrixTest.cpp

+// Copyright 2012 The Chromium Authors. All rights reserved.
+// Use of this source code is governed by a BSD-style license that can be
+// found in the LICENSE file.
+
+#include "config.h"
+
+#include <public/WebTransformationMatrix.h>
+
+#include "CCLayerTreeTestCommon.h"
+#include <gtest/gtest.h>
+#include <wtf/MathExtras.h>
+
+#define EXPECT_ROW1_EQ(a, b, c, d, matrix)      \
+    EXPECT_FLOAT_EQ((a), (matrix).m11());       \
+    EXPECT_FLOAT_EQ((b), (matrix).m21());       \
+    EXPECT_FLOAT_EQ((c), (matrix).m31());       \
+    EXPECT_FLOAT_EQ((d), (matrix).m41());
+
+#define EXPECT_ROW2_EQ(a, b, c, d, matrix)      \
+    EXPECT_FLOAT_EQ((a), (matrix).m12());       \
+    EXPECT_FLOAT_EQ((b), (matrix).m22());       \
+    EXPECT_FLOAT_EQ((c), (matrix).m32());       \
+    EXPECT_FLOAT_EQ((d), (matrix).m42());
+
+#define EXPECT_ROW3_EQ(a, b, c, d, matrix)      \
+    EXPECT_FLOAT_EQ((a), (matrix).m13());       \
+    EXPECT_FLOAT_EQ((b), (matrix).m23());       \
+    EXPECT_FLOAT_EQ((c), (matrix).m33());       \
+    EXPECT_FLOAT_EQ((d), (matrix).m43());
+
+#define EXPECT_ROW4_EQ(a, b, c, d, matrix)      \
+    EXPECT_FLOAT_EQ((a), (matrix).m14());       \
+    EXPECT_FLOAT_EQ((b), (matrix).m24());       \
+    EXPECT_FLOAT_EQ((c), (matrix).m34());       \
+    EXPECT_FLOAT_EQ((d), (matrix).m44());       \
+
+// Checking float values for equality close to zero is not robust using EXPECT_FLOAT_EQ
+// (see gtest documentation). So, to verify rotation matrices, we must use a looser
+// absolute error threshold in some places.
+#define EXPECT_ROW1_NEAR(a, b, c, d, matrix, errorThreshold)      \
+    EXPECT_NEAR((a), (matrix).m11(), (errorThreshold));           \
+    EXPECT_NEAR((b), (matrix).m21(), (errorThreshold));           \
+    EXPECT_NEAR((c), (matrix).m31(), (errorThreshold));           \
+    EXPECT_NEAR((d), (matrix).m41(), (errorThreshold));
+
+#define EXPECT_ROW2_NEAR(a, b, c, d, matrix, errorThreshold)      \
+    EXPECT_NEAR((a), (matrix).m12(), (errorThreshold));           \
+    EXPECT_NEAR((b), (matrix).m22(), (errorThreshold));           \
+    EXPECT_NEAR((c), (matrix).m32(), (errorThreshold));           \
+    EXPECT_NEAR((d), (matrix).m42(), (errorThreshold));
+
+#define EXPECT_ROW3_NEAR(a, b, c, d, matrix, errorThreshold)      \
+    EXPECT_NEAR((a), (matrix).m13(), (errorThreshold));           \
+    EXPECT_NEAR((b), (matrix).m23(), (errorThreshold));           \
+    EXPECT_NEAR((c), (matrix).m33(), (errorThreshold));           \
+    EXPECT_NEAR((d), (matrix).m43(), (errorThreshold));
+
+#define ERROR_THRESHOLD 1e-14
+#define LOOSE_ERROR_THRESHOLD 1e-7
+
+using namespace WebKit;
+
+namespace {
+
+static void initializeTestMatrix(WebTransformationMatrix& transform)
+{
+    transform.setM11(10);
+    transform.setM12(11);
+    transform.setM13(12);
+    transform.setM14(13);
+    transform.setM21(14);
+    transform.setM22(15);
+    transform.setM23(16);
+    transform.setM24(17);
+    transform.setM31(18);
+    transform.setM32(19);
+    transform.setM33(20);
+    transform.setM34(21);
+    transform.setM41(22);
+    transform.setM42(23);
+    transform.setM43(24);
+    transform.setM44(25);
+
+    // Sanity check
+    EXPECT_ROW1_EQ(10, 14, 18, 22, transform);
+    EXPECT_ROW2_EQ(11, 15, 19, 23, transform);
+    EXPECT_ROW3_EQ(12, 16, 20, 24, transform);
+    EXPECT_ROW4_EQ(13, 17, 21, 25, transform);
+}
+
+static void initializeTestMatrix2(WebTransformationMatrix& transform)
+{
+    transform.setM11(30);
+    transform.setM12(31);
+    transform.setM13(32);
+    transform.setM14(33);
+    transform.setM21(34);
+    transform.setM22(35);
+    transform.setM23(36);
+    transform.setM24(37);
+    transform.setM31(38);
+    transform.setM32(39);
+    transform.setM33(40);
+    transform.setM34(41);
+    transform.setM41(42);
+    transform.setM42(43);
+    transform.setM43(44);
+    transform.setM44(45);
+
+    // Sanity check
+    EXPECT_ROW1_EQ(30, 34, 38, 42, transform);
+    EXPECT_ROW2_EQ(31, 35, 39, 43, transform);
+    EXPECT_ROW3_EQ(32, 36, 40, 44, transform);
+    EXPECT_ROW4_EQ(33, 37, 41, 45, transform);
+}
+
+TEST(WebTransformationMatrixTest, verifyDefaultConstructorCreatesIdentityMatrix)
+{
+    WebTransformationMatrix A;
+    EXPECT_ROW1_EQ(1, 0, 0, 0, A);
+    EXPECT_ROW2_EQ(0, 1, 0, 0, A);
+    EXPECT_ROW3_EQ(0, 0, 1, 0, A);
+    EXPECT_ROW4_EQ(0, 0, 0, 1, A);
+    EXPECT_TRUE(A.isIdentity());
+}
+
+TEST(WebTransformationMatrixTest, verifyConstructorFor2dElements)
+{
+    WebTransformationMatrix A(1, 2, 3, 4, 5, 6);
+    EXPECT_ROW1_EQ(1, 3, 0, 5, A);
+    EXPECT_ROW2_EQ(2, 4, 0, 6, A);
+    EXPECT_ROW3_EQ(0, 0, 1, 0, A);
+    EXPECT_ROW4_EQ(0, 0, 0, 1, A);
+}
+
+TEST(WebTransformationMatrixTest, verifyConstructorForAllElements)
+{
+    WebTransformationMatrix A(1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16);
+    EXPECT_ROW1_EQ(1, 5,  9, 13, A);
+    EXPECT_ROW2_EQ(2, 6, 10, 14, A);
+    EXPECT_ROW3_EQ(3, 7, 11, 15, A);
+    EXPECT_ROW4_EQ(4, 8, 12, 16, A);
+}
+
+TEST(WebTransformationMatrixTest, verifyCopyConstructor)
+{
+    WebTransformationMatrix A;
+    initializeTestMatrix(A);
+
+    // Copy constructor should produce exact same elements as matrix A.
+    WebTransformationMatrix B(A);
+    EXPECT_ROW1_EQ(10, 14, 18, 22, B);
+    EXPECT_ROW2_EQ(11, 15, 19, 23, B);
+    EXPECT_ROW3_EQ(12, 16, 20, 24, B);
+    EXPECT_ROW4_EQ(13, 17, 21, 25, B);
+}
+
+TEST(WebTransformationMatrixTest, verifyMatrixInversion)
+{
+    // Invert a translation
+    WebTransformationMatrix translation;
+    translation.translate3d(2, 3, 4);
+    EXPECT_TRUE(translation.isInvertible());
+
+    WebTransformationMatrix inverseTranslation = translation.inverse();
+    EXPECT_ROW1_EQ(1, 0, 0, -2, inverseTranslation);
+    EXPECT_ROW2_EQ(0, 1, 0, -3, inverseTranslation);
+    EXPECT_ROW3_EQ(0, 0, 1, -4, inverseTranslation);
+    EXPECT_ROW4_EQ(0, 0, 0,  1, inverseTranslation);
+
+    // Note that inversion should not have changed the original matrix.
+    EXPECT_ROW1_EQ(1, 0, 0, 2, translation);
+    EXPECT_ROW2_EQ(0, 1, 0, 3, translation);
+    EXPECT_ROW3_EQ(0, 0, 1, 4, translation);
+    EXPECT_ROW4_EQ(0, 0, 0, 1, translation);
+
+    // Invert a non-uniform scale
+    WebTransformationMatrix scale;
+    scale.scale3d(4, 10, 100);
+    EXPECT_TRUE(scale.isInvertible());
+
+    WebTransformationMatrix inverseScale = scale.inverse();
+    EXPECT_ROW1_EQ(0.25,   0,    0, 0, inverseScale);
+    EXPECT_ROW2_EQ(0,    .1f,    0, 0, inverseScale);
+    EXPECT_ROW3_EQ(0,      0, .01f, 0, inverseScale);
+    EXPECT_ROW4_EQ(0,      0,    0, 1, inverseScale);
+
+    // Try to invert a matrix that is not invertible.
+    // The inverse() function should simply return an identity matrix.
+    WebTransformationMatrix notInvertible;
+    notInvertible.setM11(0);
+    notInvertible.setM22(0);
+    notInvertible.setM33(0);
+    notInvertible.setM44(0);
+    EXPECT_FALSE(notInvertible.isInvertible());
+
+    WebTransformationMatrix inverseOfNotInvertible;
+    initializeTestMatrix(inverseOfNotInvertible); // initialize this to something non-identity, to make sure that assignment below actually took place.
+    inverseOfNotInvertible = notInvertible.inverse();
+    EXPECT_TRUE(inverseOfNotInvertible.isIdentity());
+}
+
+TEST(WebTransformationMatrixTest, verifyTo2DTransform)
+{
+    WebTransformationMatrix A;
+    initializeTestMatrix(A);
+
+    WebTransformationMatrix B = A.to2dTransform();
+
+    EXPECT_ROW1_EQ(10, 14, 0, 22, B);
+    EXPECT_ROW2_EQ(11, 15, 0, 23, B);
+    EXPECT_ROW3_EQ(0,  0,  1, 0,  B);
+    EXPECT_ROW4_EQ(13, 17, 0, 25, B);
+
+    // Note that to2DTransform should not have changed the original matrix.
+    EXPECT_ROW1_EQ(10, 14, 18, 22, A);
+    EXPECT_ROW2_EQ(11, 15, 19, 23, A);
+    EXPECT_ROW3_EQ(12, 16, 20, 24, A);
+    EXPECT_ROW4_EQ(13, 17, 21, 25, A);
+}
+
+TEST(WebTransformationMatrixTest, verifyAssignmentOperator)
+{
+    WebTransformationMatrix A;
+    initializeTestMatrix(A);
+    WebTransformationMatrix B;
+    initializeTestMatrix2(B);
+    WebTransformationMatrix C;
+    initializeTestMatrix2(C);
+    C = B = A;
+
+    // Both B and C should now have been re-assigned to the value of A.
+    EXPECT_ROW1_EQ(10, 14, 18, 22, B);
+    EXPECT_ROW2_EQ(11, 15, 19, 23, B);
+    EXPECT_ROW3_EQ(12, 16, 20, 24, B);
+    EXPECT_ROW4_EQ(13, 17, 21, 25, B);
+
+    EXPECT_ROW1_EQ(10, 14, 18, 22, C);
+    EXPECT_ROW2_EQ(11, 15, 19, 23, C);
+    EXPECT_ROW3_EQ(12, 16, 20, 24, C);
+    EXPECT_ROW4_EQ(13, 17, 21, 25, C);
+}
+
+TEST(WebTransformationMatrixTest, verifyEqualsBooleanOperator)
+{
+    WebTransformationMatrix A;
+    initializeTestMatrix(A);
+
+    WebTransformationMatrix B;
+    initializeTestMatrix(B);
+    EXPECT_TRUE(A == B);
+
+    // Modifying multiple elements should cause equals operator to return false.
+    WebTransformationMatrix C;
+    initializeTestMatrix2(C);
+    EXPECT_FALSE(A == C);
+
+    // Modifying any one individual element should cause equals operator to return false.
+    WebTransformationMatrix D;
+    D = A;
+    D.setM11(0);
+    EXPECT_FALSE(A == D);
+
+    D = A;
+    D.setM12(0);
+    EXPECT_FALSE(A == D);
+
+    D = A;
+    D.setM13(0);
+    EXPECT_FALSE(A == D);
+
+    D = A;
+    D.setM14(0);
+    EXPECT_FALSE(A == D);
+
+    D = A;
+    D.setM21(0);
+    EXPECT_FALSE(A == D);
+
+    D = A;
+    D.setM22(0);
+    EXPECT_FALSE(A == D);
+
+    D = A;
+    D.setM23(0);
+    EXPECT_FALSE(A == D);
+
+    D = A;
+    D.setM24(0);
+    EXPECT_FALSE(A == D);
+
+    D = A;
+    D.setM31(0);
+    EXPECT_FALSE(A == D);
+
+    D = A;
+    D.setM32(0);
+    EXPECT_FALSE(A == D);
+
+    D = A;
+    D.setM33(0);
+    EXPECT_FALSE(A == D);
+
+    D = A;
+    D.setM34(0);
+    EXPECT_FALSE(A == D);
+
+    D = A;
+    D.setM41(0);
+    EXPECT_FALSE(A == D);
+
+    D = A;
+    D.setM42(0);
+    EXPECT_FALSE(A == D);
+
+    D = A;
+    D.setM43(0);
+    EXPECT_FALSE(A == D);
+
+    D = A;
+    D.setM44(0);
+    EXPECT_FALSE(A == D);
+}
+
+TEST(WebTransformationMatrixTest, verifyMultiplyOperator)
+{
+    WebTransformationMatrix A;
+    initializeTestMatrix(A);
+
+    WebTransformationMatrix B;
+    initializeTestMatrix2(B);
+
+    WebTransformationMatrix C = A * B;
+    EXPECT_ROW1_EQ(2036, 2292, 2548, 2804, C);
+    EXPECT_ROW2_EQ(2162, 2434, 2706, 2978, C);
+    EXPECT_ROW3_EQ(2288, 2576, 2864, 3152, C);
+    EXPECT_ROW4_EQ(2414, 2718, 3022, 3326, C);
+
+    // Just an additional sanity check; matrix multiplication is not commutative.
+    EXPECT_FALSE(A * B == B * A);
+}
+
+TEST(WebTransformationMatrixTest, verifyMatrixMultiplication)
+{
+    WebTransformationMatrix A;
+    initializeTestMatrix(A);
+
+    WebTransformationMatrix B;
+    initializeTestMatrix2(B);
+
+    A.multiply(B);
+    EXPECT_ROW1_EQ(2036, 2292, 2548, 2804, A);
+    EXPECT_ROW2_EQ(2162, 2434, 2706, 2978, A);
+    EXPECT_ROW3_EQ(2288, 2576, 2864, 3152, A);
+    EXPECT_ROW4_EQ(2414, 2718, 3022, 3326, A);
+}
+
+TEST(WebTransformationMatrixTest, verifyMakeIdentiy)
+{
+    WebTransformationMatrix A;
+    initializeTestMatrix(A);
+    A.makeIdentity();
+    EXPECT_ROW1_EQ(1, 0, 0, 0, A);
+    EXPECT_ROW2_EQ(0, 1, 0, 0, A);
+    EXPECT_ROW3_EQ(0, 0, 1, 0, A);
+    EXPECT_ROW4_EQ(0, 0, 0, 1, A);
+    EXPECT_TRUE(A.isIdentity());
+}
+
+TEST(WebTransformationMatrixTest, verifyTranslate)
+{
+    WebTransformationMatrix A;
+    A.translate(2, 3);
+    EXPECT_ROW1_EQ(1, 0, 0, 2, A);
+    EXPECT_ROW2_EQ(0, 1, 0, 3, A);
+    EXPECT_ROW3_EQ(0, 0, 1, 0, A);
+    EXPECT_ROW4_EQ(0, 0, 0, 1, A);
+
+    // Verify that translate() post-multiplies the existing matrix.
+    A.makeIdentity();
+    A.scale(5);
+    A.translate(2, 3);
+    EXPECT_ROW1_EQ(5, 0, 0, 10, A);
+    EXPECT_ROW2_EQ(0, 5, 0, 15, A);
+    EXPECT_ROW3_EQ(0, 0, 1, 0,  A);
+    EXPECT_ROW4_EQ(0, 0, 0, 1,  A);
+}
+
+TEST(WebTransformationMatrixTest, verifyTranslate3d)
+{
+    WebTransformationMatrix A;
+    A.translate3d(2, 3, 4);
+    EXPECT_ROW1_EQ(1, 0, 0, 2, A);
+    EXPECT_ROW2_EQ(0, 1, 0, 3, A);
+    EXPECT_ROW3_EQ(0, 0, 1, 4, A);
+    EXPECT_ROW4_EQ(0, 0, 0, 1, A);
+
+    // Verify that translate3d() post-multiplies the existing matrix.
+    A.makeIdentity();
+    A.scale3d(6, 7, 8);
+    A.translate3d(2, 3, 4);
+    EXPECT_ROW1_EQ(6, 0, 0, 12, A);
+    EXPECT_ROW2_EQ(0, 7, 0, 21, A);
+    EXPECT_ROW3_EQ(0, 0, 8, 32, A);
+    EXPECT_ROW4_EQ(0, 0, 0, 1,  A);
+}
+
+TEST(WebTransformationMatrixTest, verifyTranslateRight3d)
+{
+    WebTransformationMatrix A;
+    A.translateRight3d(2, 3, 4);
+    EXPECT_ROW1_EQ(1, 0, 0, 2, A);
+    EXPECT_ROW2_EQ(0, 1, 0, 3, A);
+    EXPECT_ROW3_EQ(0, 0, 1, 4, A);
+    EXPECT_ROW4_EQ(0, 0, 0, 1, A);
+
+    // Note carefully, all other operations do post-multiply, this one is unique.
+    // Verify that translateRight3d() PRE-multiplies the existing matrix.
+    A.makeIdentity();
+    A.scale3d(6, 7, 8);
+    A.translateRight3d(2, 3, 4);
+    EXPECT_ROW1_EQ(6, 0, 0, 2, A);
+    EXPECT_ROW2_EQ(0, 7, 0, 3, A);
+    EXPECT_ROW3_EQ(0, 0, 8, 4, A);
+    EXPECT_ROW4_EQ(0, 0, 0, 1, A);
+}
+
+TEST(WebTransformationMatrixTest, verifyScale)
+{
+    WebTransformationMatrix A;
+    A.scale(5);
+    EXPECT_ROW1_EQ(5, 0, 0, 0, A);
+    EXPECT_ROW2_EQ(0, 5, 0, 0, A);
+    EXPECT_ROW3_EQ(0, 0, 1, 0, A);
+    EXPECT_ROW4_EQ(0, 0, 0, 1, A);
+
+    // Verify that scale() post-multiplies the existing matrix.
+    A.makeIdentity();
+    A.translate3d(2, 3, 4);
+    A.scale(5);
+    EXPECT_ROW1_EQ(5, 0, 0, 2, A);
+    EXPECT_ROW2_EQ(0, 5, 0, 3, A);
+    EXPECT_ROW3_EQ(0, 0, 1, 4, A);
+    EXPECT_ROW4_EQ(0, 0, 0, 1,  A);
+}
+
+TEST(WebTransformationMatrixTest, verifyNonUniformScale)
+{
+    WebTransformationMatrix A;
+    A.scaleNonUniform(6, 7);
+    EXPECT_ROW1_EQ(6, 0, 0, 0, A);
+    EXPECT_ROW2_EQ(0, 7, 0, 0, A);
+    EXPECT_ROW3_EQ(0, 0, 1, 0, A);
+    EXPECT_ROW4_EQ(0, 0, 0, 1, A);
+
+    // Verify that scaleNonUniform() post-multiplies the existing matrix.
+    A.makeIdentity();
+    A.translate3d(2, 3, 4);
+    A.scaleNonUniform(6, 7);
+    EXPECT_ROW1_EQ(6, 0, 0, 2, A);
+    EXPECT_ROW2_EQ(0, 7, 0, 3, A);
+    EXPECT_ROW3_EQ(0, 0, 1, 4, A);
+    EXPECT_ROW4_EQ(0, 0, 0, 1, A);
+}
+
+TEST(WebTransformationMatrixTest, verifyScale3d)
+{
+    WebTransformationMatrix A;
+    A.scale3d(6, 7, 8);
+    EXPECT_ROW1_EQ(6, 0, 0, 0, A);
+    EXPECT_ROW2_EQ(0, 7, 0, 0, A);
+    EXPECT_ROW3_EQ(0, 0, 8, 0, A);
+    EXPECT_ROW4_EQ(0, 0, 0, 1, A);
+
+    // Verify that scale3d() post-multiplies the existing matrix.
+    A.makeIdentity();
+    A.translate3d(2, 3, 4);
+    A.scale3d(6, 7, 8);
+    EXPECT_ROW1_EQ(6, 0, 0, 2, A);
+    EXPECT_ROW2_EQ(0, 7, 0, 3, A);
+    EXPECT_ROW3_EQ(0, 0, 8, 4, A);
+    EXPECT_ROW4_EQ(0, 0, 0, 1, A);
+}
+
+TEST(WebTransformationMatrixTest, verifyRotate)
+{
+    WebTransformationMatrix A;
+    A.rotate(90);
+    EXPECT_ROW1_NEAR(0, -1, 0, 0, A, ERROR_THRESHOLD);
+    EXPECT_ROW2_NEAR(1, 0, 0, 0, A, ERROR_THRESHOLD);
+    EXPECT_ROW3_EQ(0, 0, 1, 0, A);
+    EXPECT_ROW4_EQ(0, 0, 0, 1, A);
+
+    // Verify that rotate() post-multiplies the existing matrix.
+    A.makeIdentity();
+    A.scale3d(6, 7, 8);
+    A.rotate(90);
+    EXPECT_ROW1_NEAR(0, -6, 0, 0, A, ERROR_THRESHOLD);
+    EXPECT_ROW2_NEAR(7, 0,  0, 0, A, ERROR_THRESHOLD);
+    EXPECT_ROW3_EQ(0, 0, 8, 0, A);
+    EXPECT_ROW4_EQ(0, 0, 0, 1, A);
+}
+
+TEST(WebTransformationMatrixTest, verifyRotate3d)
+{
+    WebTransformationMatrix A;
+
+    // Check rotation about z-axis
+    A.makeIdentity();
+    A.rotate3d(0, 0, 90);
+    EXPECT_ROW1_NEAR(0, -1, 0, 0, A, ERROR_THRESHOLD);
+    EXPECT_ROW2_NEAR(1, 0, 0, 0, A, ERROR_THRESHOLD);
+    EXPECT_ROW3_EQ(0, 0, 1, 0, A);
+    EXPECT_ROW4_EQ(0, 0, 0, 1, A);
+
+    // Check rotation about x-axis
+    A.makeIdentity();
+    A.rotate3d(90, 0, 0);
+    EXPECT_ROW1_EQ(1, 0, 0, 0, A);
+    EXPECT_ROW2_NEAR(0, 0, -1, 0, A, ERROR_THRESHOLD);
+    EXPECT_ROW3_NEAR(0, 1, 0, 0, A, ERROR_THRESHOLD);
+    EXPECT_ROW4_EQ(0, 0, 0, 1, A);
+
+    // Check rotation about y-axis.
+    // Note carefully, the expected pattern is inverted compared to rotating about x axis or z axis.
+    A.makeIdentity();
+    A.rotate3d(0, 90, 0);
+    EXPECT_ROW1_NEAR(0, 0, 1, 0, A, ERROR_THRESHOLD);
+    EXPECT_ROW2_EQ(0, 1, 0, 0, A);
+    EXPECT_ROW3_NEAR(-1, 0, 0, 0, A, ERROR_THRESHOLD);
+    EXPECT_ROW4_EQ(0, 0, 0, 1, A);
+
+    // Verify that rotate3d(rx, ry, rz) post-multiplies the existing matrix.
+    A.makeIdentity();
+    A.scale3d(6, 7, 8);
+    A.rotate3d(0, 0, 90);
+    EXPECT_ROW1_NEAR(0, -6, 0, 0, A, ERROR_THRESHOLD);
+    EXPECT_ROW2_NEAR(7, 0,  0, 0, A, ERROR_THRESHOLD);
+    EXPECT_ROW3_EQ(0, 0, 8, 0, A);
+    EXPECT_ROW4_EQ(0, 0, 0, 1, A);
+}
+
+TEST(WebTransformationMatrixTest, verifyRotate3dOrderOfCompositeRotations)
+{
+    // Rotate3d(degreesX, degreesY, degreesZ) is actually composite transform consiting of
+    // three primitive rotations. This test verifies that the ordering of those three
+    // transforms is the intended ordering.
+    //
+    // The correct ordering for this test case should be:
+    //   1. rotate by 30 degrees about z-axis
+    //   2. rotate by 20 degrees about y-axis
+    //   3. rotate by 10 degrees about x-axis
+    //
+    // Note: there are 6 possible orderings of 3 transforms. For the specific transforms
+    // used in this test, all 6 combinations produce a unique matrix that is different
+    // from the other orderings. That way, this test verifies the exact ordering.
+
+    WebTransformationMatrix A;
+    A.makeIdentity();
+    A.rotate3d(10, 20, 30);
+
+    EXPECT_ROW1_NEAR(0.8137976813493738026394908,
+                     -0.4409696105298823720630708,
+                     0.3785223063697923939763257,
+                     0, A, ERROR_THRESHOLD);
+    EXPECT_ROW2_NEAR(0.4698463103929541584413698,
+                     0.8825641192593856043657752,
+                     0.0180283112362972230968694,
+                     0, A, ERROR_THRESHOLD);
+    EXPECT_ROW3_NEAR(-0.3420201433256686573969318,
+                     0.1631759111665348205288950,
+                     0.9254165783983233639631294,
+                     0, A, ERROR_THRESHOLD);
+    EXPECT_ROW4_EQ(0, 0, 0, 1, A);
+}
+
+TEST(WebTransformationMatrixTest, verifyRotateAxisAngle3d)
+{
+    WebTransformationMatrix A;
+
+    // Check rotation about z-axis
+    A.makeIdentity();
+    A.rotate3d(0, 0, 1, 90);
+    EXPECT_ROW1_NEAR(0, -1, 0, 0, A, ERROR_THRESHOLD);
+    EXPECT_ROW2_NEAR(1, 0, 0, 0, A, ERROR_THRESHOLD);
+    EXPECT_ROW3_EQ(0, 0, 1, 0, A);
+    EXPECT_ROW4_EQ(0, 0, 0, 1, A);
+
+    // Check rotation about x-axis
+    A.makeIdentity();
+    A.rotate3d(1, 0, 0, 90);
+    EXPECT_ROW1_EQ(1, 0, 0, 0, A);
+    EXPECT_ROW2_NEAR(0, 0, -1, 0, A, ERROR_THRESHOLD);
+    EXPECT_ROW3_NEAR(0, 1, 0, 0, A, ERROR_THRESHOLD);
+    EXPECT_ROW4_EQ(0, 0, 0, 1, A);
+
+    // Check rotation about y-axis.
+    // Note carefully, the expected pattern is inverted compared to rotating about x axis or z axis.
+    A.makeIdentity();
+    A.rotate3d(0, 1, 0, 90);
+    EXPECT_ROW1_NEAR(0, 0, 1, 0, A, ERROR_THRESHOLD);
+    EXPECT_ROW2_EQ(0, 1, 0, 0, A);
+    EXPECT_ROW3_NEAR(-1, 0, 0, 0, A, ERROR_THRESHOLD);
+    EXPECT_ROW4_EQ(0, 0, 0, 1, A);
+
+    // Verify that rotate3d(axis, angle) post-multiplies the existing matrix.
+    A.makeIdentity();
+    A.scale3d(6, 7, 8);
+    A.rotate3d(0, 0, 1, 90);
+    EXPECT_ROW1_NEAR(0, -6, 0, 0, A, ERROR_THRESHOLD);
+    EXPECT_ROW2_NEAR(7, 0,  0, 0, A, ERROR_THRESHOLD);
+    EXPECT_ROW3_EQ(0, 0, 8, 0, A);
+    EXPECT_ROW4_EQ(0, 0, 0, 1, A);
+}
+
+TEST(WebTransformationMatrixTest, verifyRotateAxisAngle3dForArbitraryAxis)
+{
+    // Check rotation about an arbitrary non-axis-aligned vector.
+    WebTransformationMatrix A;
+    A.rotate3d(1, 1, 1, 90);
+    EXPECT_ROW1_NEAR(0.3333333333333334258519187,
+                     -0.2440169358562924717404030,
+                     0.9106836025229592124219380,
+                     0, A, ERROR_THRESHOLD);
+    EXPECT_ROW2_NEAR(0.9106836025229592124219380,
+                     0.3333333333333334258519187,
+                     -0.2440169358562924717404030,
+                     0, A, ERROR_THRESHOLD);
+    EXPECT_ROW3_NEAR(-0.2440169358562924717404030,
+                     0.9106836025229592124219380,
+                     0.3333333333333334258519187,
+                     0, A, ERROR_THRESHOLD);
+    EXPECT_ROW4_EQ(0, 0, 0, 1, A);
+}
+
+TEST(WebTransformationMatrixTest, verifyRotateAxisAngle3dForDegenerateAxis)
+{
+    // Check rotation about a degenerate zero vector.
+    // It is expected to default to rotation about the z-axis.
+    WebTransformationMatrix A;
+    A.rotate3d(0, 0, 0, 90);
+    EXPECT_ROW1_NEAR(0, -1, 0, 0, A, ERROR_THRESHOLD);
+    EXPECT_ROW2_NEAR(1, 0, 0, 0, A, ERROR_THRESHOLD);
+    EXPECT_ROW3_EQ(0, 0, 1, 0, A);
+    EXPECT_ROW4_EQ(0, 0, 0, 1, A);
+}
+
+TEST(WebTransformationMatrixTest, verifySkewX)
+{
+    WebTransformationMatrix A;
+    A.skewX(45);
+    EXPECT_ROW1_EQ(1, 1, 0, 0, A);
+    EXPECT_ROW2_EQ(0, 1, 0, 0, A);
+    EXPECT_ROW3_EQ(0, 0, 1, 0, A);
+    EXPECT_ROW4_EQ(0, 0, 0, 1, A);
+
+    // Verify that skewX() post-multiplies the existing matrix.
+    // Row 1, column 2, would incorrectly have value "7" if the matrix is pre-multiplied instead of post-multiplied.
+    A.makeIdentity();
+    A.scale3d(6, 7, 8);
+    A.skewX(45);
+    EXPECT_ROW1_EQ(6, 6, 0, 0, A);
+    EXPECT_ROW2_EQ(0, 7, 0, 0, A);
+    EXPECT_ROW3_EQ(0, 0, 8, 0, A);
+    EXPECT_ROW4_EQ(0, 0, 0, 1, A);
+}
+
+TEST(WebTransformationMatrixTest, verifySkewY)
+{
+    WebTransformationMatrix A;
+    A.skewY(45);
+    EXPECT_ROW1_EQ(1, 0, 0, 0, A);
+    EXPECT_ROW2_EQ(1, 1, 0, 0, A);
+    EXPECT_ROW3_EQ(0, 0, 1, 0, A);
+    EXPECT_ROW4_EQ(0, 0, 0, 1, A);
+
+    // Verify that skewY() post-multiplies the existing matrix.
+    // Row 2, column 1, would incorrectly have value "6" if the matrix is pre-multiplied instead of post-multiplied.
+    A.makeIdentity();
+    A.scale3d(6, 7, 8);
+    A.skewY(45);
+    EXPECT_ROW1_EQ(6, 0, 0, 0, A);
+    EXPECT_ROW2_EQ(7, 7, 0, 0, A);
+    EXPECT_ROW3_EQ(0, 0, 8, 0, A);
+    EXPECT_ROW4_EQ(0, 0, 0, 1, A);
+}
+
+TEST(WebTransformationMatrixTest, verifyApplyPerspective)
+{
+    WebTransformationMatrix A;
+    A.applyPerspective(1);
+    EXPECT_ROW1_EQ(1, 0,  0, 0, A);
+    EXPECT_ROW2_EQ(0, 1,  0, 0, A);
+    EXPECT_ROW3_EQ(0, 0,  1, 0, A);
+    EXPECT_ROW4_EQ(0, 0, -1, 1, A);
+
+    // Verify that applyPerspective() post-multiplies the existing matrix.
+    A.makeIdentity();
+    A.translate3d(2, 3, 4);
+    A.applyPerspective(1);
+    EXPECT_ROW1_EQ(1, 0, -2, 2, A);
+    EXPECT_ROW2_EQ(0, 1, -3, 3, A);
+    EXPECT_ROW3_EQ(0, 0, -3, 4, A);
+    EXPECT_ROW4_EQ(0, 0, -1, 1, A);
+}
+
+TEST(WebTransformationMatrixTest, verifyHasPerspective)
+{
+    WebTransformationMatrix A;
+    A.applyPerspective(1);
+    EXPECT_TRUE(A.hasPerspective());
+
+    A.makeIdentity();
+    A.applyPerspective(0);
+    EXPECT_FALSE(A.hasPerspective());
+
+    A.makeIdentity();
+    A.setM34(-0.3);
+    EXPECT_TRUE(A.hasPerspective());
+
+    // FIXME: WebCore only checkes m34() for perspective, but that is probably
+    //        wrong. https://bugs.webkit.org/show_bug.cgi?id=83088. For now, this test
+    //        case expects the exact behavior as implemented by WebCore, but this should
+    //        probably be changed so that if the entire bottom row is not exactly
+    //        (0, 0, 0, 1), then hasPerspective should return true.
+
+    A.makeIdentity();
+    A.setM14(-1);
+    EXPECT_FALSE(A.hasPerspective());
+
+    A.makeIdentity();
+    A.setM24(-1);
+    EXPECT_FALSE(A.hasPerspective());
+
+    A.makeIdentity();
+    A.setM44(0.5);
+    EXPECT_FALSE(A.hasPerspective());
+}
+
+TEST(WebTransformationMatrixTest, verifyIsInvertible)
+{
+    WebTransformationMatrix A;
+
+    // Translations, rotations, scales, skews and arbitrary combinations of them are invertible.
+    A.makeIdentity();
+    EXPECT_TRUE(A.isInvertible());
+
+    A.makeIdentity();
+    A.translate3d(2, 3, 4);
+    EXPECT_TRUE(A.isInvertible());
+
+    A.makeIdentity();
+    A.scale3d(6, 7, 8);
+    EXPECT_TRUE(A.isInvertible());
+
+    A.makeIdentity();
+    A.rotate3d(10, 20, 30);
+    EXPECT_TRUE(A.isInvertible());
+
+    A.makeIdentity();
+    A.skewX(45);
+    EXPECT_TRUE(A.isInvertible());
+
+    // A perspective matrix (projection plane at z=0) is invertible. The intuitive
+    // explanation is that perspective is eqivalent to a skew of the w-axis; skews are
+    // invertible.
+    A.makeIdentity();
+    A.applyPerspective(1);
+    EXPECT_TRUE(A.isInvertible());
+
+    // A "pure" perspective matrix derived by similar triangles, with m44() set to zero
+    // (i.e. camera positioned at the origin), is not invertible.
+    A.makeIdentity();
+    A.applyPerspective(1);
+    A.setM44(0);
+    EXPECT_FALSE(A.isInvertible());
+
+    // Adding more to a non-invertible matrix will not make it invertible in the general case.
+    A.makeIdentity();
+    A.applyPerspective(1);
+    A.setM44(0);
+    A.scale3d(6, 7, 8);
+    A.rotate3d(10, 20, 30);
+    A.translate3d(6, 7, 8);
+    EXPECT_FALSE(A.isInvertible());
+
+    // A degenerate matrix of all zeros is not invertible.
+    A.makeIdentity();
+    A.setM11(0);
+    A.setM22(0);
+    A.setM33(0);
+    A.setM44(0);
+    EXPECT_FALSE(A.isInvertible());
+}
+
+TEST(WebTransformationMatrixTest, verifyIsIdentity)
+{
+    WebTransformationMatrix A;
+
+    initializeTestMatrix(A);
+    EXPECT_FALSE(A.isIdentity());
+
+    A.makeIdentity();
+    EXPECT_TRUE(A.isIdentity());
+
+    // Modifying any one individual element should cause the matrix to no longer be identity.
+    A.makeIdentity();
+    A.setM11(2);
+    EXPECT_FALSE(A.isIdentity());
+
+    A.makeIdentity();
+    A.setM12(2);
+    EXPECT_FALSE(A.isIdentity());
+
+    A.makeIdentity();
+    A.setM13(2);
+    EXPECT_FALSE(A.isIdentity());
+
+    A.makeIdentity();
+    A.setM14(2);
+    EXPECT_FALSE(A.isIdentity());
+
+    A.makeIdentity();
+    A.setM21(2);
+    EXPECT_FALSE(A.isIdentity());
+
+    A.makeIdentity();
+    A.setM22(2);
+    EXPECT_FALSE(A.isIdentity());
+
+    A.makeIdentity();
+    A.setM23(2);
+    EXPECT_FALSE(A.isIdentity());
+
+    A.makeIdentity();
+    A.setM24(2);
+    EXPECT_FALSE(A.isIdentity());
+
+    A.makeIdentity();
+    A.setM31(2);
+    EXPECT_FALSE(A.isIdentity());
+
+    A.makeIdentity();
+    A.setM32(2);
+    EXPECT_FALSE(A.isIdentity());
+
+    A.makeIdentity();
+    A.setM33(2);
+    EXPECT_FALSE(A.isIdentity());
+
+    A.makeIdentity();
+    A.setM34(2);
+    EXPECT_FALSE(A.isIdentity());
+
+    A.makeIdentity();
+    A.setM41(2);
+    EXPECT_FALSE(A.isIdentity());
+
+    A.makeIdentity();
+    A.setM42(2);
+    EXPECT_FALSE(A.isIdentity());
+
+    A.makeIdentity();
+    A.setM43(2);
+    EXPECT_FALSE(A.isIdentity());
+
+    A.makeIdentity();
+    A.setM44(2);
+    EXPECT_FALSE(A.isIdentity());
+}
+
+TEST(WebTransformationMatrixTest, verifyIsIdentityOrTranslation)
+{
+    WebTransformationMatrix A;
+
+    initializeTestMatrix(A);
+    EXPECT_FALSE(A.isIdentityOrTranslation());
+
+    A.makeIdentity();
+    EXPECT_TRUE(A.isIdentityOrTranslation());
+
+    // Modifying any non-translation components should cause isIdentityOrTranslation() to
+    // return false. NOTE: m41(), m42(), and m43() are the translation components, so
+    // modifying them should still return true for isIdentityOrTranslation().
+    A.makeIdentity();
+    A.setM11(2);
+    EXPECT_FALSE(A.isIdentityOrTranslation());
+
+    A.makeIdentity();
+    A.setM12(2);
+    EXPECT_FALSE(A.isIdentityOrTranslation());
+
+    A.makeIdentity();
+    A.setM13(2);
+    EXPECT_FALSE(A.isIdentityOrTranslation());
+
+    A.makeIdentity();
+    A.setM14(2);
+    EXPECT_FALSE(A.isIdentityOrTranslation());
+
+    A.makeIdentity();
+    A.setM21(2);
+    EXPECT_FALSE(A.isIdentityOrTranslation());
+
+    A.makeIdentity();
+    A.setM22(2);
+    EXPECT_FALSE(A.isIdentityOrTranslation());
+
+    A.makeIdentity();
+    A.setM23(2);
+    EXPECT_FALSE(A.isIdentityOrTranslation());
+
+    A.makeIdentity();
+    A.setM24(2);
+    EXPECT_FALSE(A.isIdentityOrTranslation());
+
+    A.makeIdentity();
+    A.setM31(2);
+    EXPECT_FALSE(A.isIdentityOrTranslation());
+
+    A.makeIdentity();
+    A.setM32(2);
+    EXPECT_FALSE(A.isIdentityOrTranslation());
+
+    A.makeIdentity();
+    A.setM33(2);
+    EXPECT_FALSE(A.isIdentityOrTranslation());
+
+    A.makeIdentity();
+    A.setM34(2);
+    EXPECT_FALSE(A.isIdentityOrTranslation());
+
+    // Note carefully - expecting true here.
+    A.makeIdentity();
+    A.setM41(2);
+    EXPECT_TRUE(A.isIdentityOrTranslation());
+
+    // Note carefully - expecting true here.
+    A.makeIdentity();
+    A.setM42(2);
+    EXPECT_TRUE(A.isIdentityOrTranslation());
+
+    // Note carefully - expecting true here.
+    A.makeIdentity();
+    A.setM43(2);
+    EXPECT_TRUE(A.isIdentityOrTranslation());
+
+    A.makeIdentity();
+    A.setM44(2);
+    EXPECT_FALSE(A.isIdentityOrTranslation());
+}
+
+TEST(WebTransformationMatrixTest, verifyIsIntegerTranslation)
+{
+    WebTransformationMatrix A;
+
+    A.makeIdentity();
+    A.translate(2, 3);
+    EXPECT_TRUE(A.isIntegerTranslation());
+
+    A.makeIdentity();
+    A.translate(2, 3);
+    EXPECT_TRUE(A.isIntegerTranslation());
+
+    A.makeIdentity();
+    A.translate(2.00001, 3);
+    EXPECT_FALSE(A.isIntegerTranslation());
+
+    A.makeIdentity();
+    A.translate(2, 2.99999);
+    EXPECT_FALSE(A.isIntegerTranslation());
+
+    // Stacking many integer translations should ideally not accumulate any precision error.
+    A.makeIdentity();
+    for (int i = 0; i < 100000; ++i)
+        A.translate(2, 3);
+    EXPECT_TRUE(A.isIntegerTranslation());
+}
+
+TEST(WebTransformationMatrixTest, verifyBlendForTranslation)
+{
+    WebTransformationMatrix from;
+    from.translate3d(100, 200, 100);
+
+    WebTransformationMatrix to;
+
+    to.makeIdentity();
+    to.translate3d(200, 100, 300);
+    to.blend(from, 0);
+    EXPECT_TRANSFORMATION_MATRIX_EQ(from, to);
+
+    to.makeIdentity();
+    to.translate3d(200, 100, 300);
+    to.blend(from, 0.25);
+    EXPECT_ROW1_EQ(1, 0, 0, 125, to);
+    EXPECT_ROW2_EQ(0, 1, 0, 175, to);
+    EXPECT_ROW3_EQ(0, 0, 1, 150, to);
+    EXPECT_ROW4_EQ(0, 0, 0,  1,  to);
+
+    to.makeIdentity();
+    to.translate3d(200, 100, 300);
+    to.blend(from, 0.5);
+    EXPECT_ROW1_EQ(1, 0, 0, 150, to);
+    EXPECT_ROW2_EQ(0, 1, 0, 150, to);
+    EXPECT_ROW3_EQ(0, 0, 1, 200, to);
+    EXPECT_ROW4_EQ(0, 0, 0,  1,  to);
+
+    to.makeIdentity();
+    to.translate3d(200, 100, 300);
+    to.blend(from, 1);
+    EXPECT_ROW1_EQ(1, 0, 0, 200, to);
+    EXPECT_ROW2_EQ(0, 1, 0, 100, to);
+    EXPECT_ROW3_EQ(0, 0, 1, 300, to);
+    EXPECT_ROW4_EQ(0, 0, 0,  1,  to);
+}
+
+TEST(WebTransformationMatrixTest, verifyBlendForScale)
+{
+    WebTransformationMatrix from;
+    from.scale3d(100, 200, 100);
+
+    WebTransformationMatrix to;
+
+    to.makeIdentity();
+    to.scale3d(200, 100, 300);
+    to.blend(from, 0);
+    EXPECT_TRANSFORMATION_MATRIX_EQ(from, to);
+
+    to.makeIdentity();
+    to.scale3d(200, 100, 300);
+    to.blend(from, 0.25);
+    EXPECT_ROW1_EQ(125, 0,  0,  0, to);
+    EXPECT_ROW2_EQ(0,  175, 0,  0, to);
+    EXPECT_ROW3_EQ(0,   0, 150, 0, to);
+    EXPECT_ROW4_EQ(0,   0,  0,  1, to);
+
+    to.makeIdentity();
+    to.scale3d(200, 100, 300);
+    to.blend(from, 0.5);
+    EXPECT_ROW1_EQ(150, 0,  0,  0, to);
+    EXPECT_ROW2_EQ(0,  150, 0,  0, to);
+    EXPECT_ROW3_EQ(0,   0, 200, 0, to);
+    EXPECT_ROW4_EQ(0,   0,  0,  1, to);
+
+    to.makeIdentity();
+    to.scale3d(200, 100, 300);
+    to.blend(from, 1);
+    EXPECT_ROW1_EQ(200, 0,  0,  0, to);
+    EXPECT_ROW2_EQ(0,  100, 0,  0, to);
+    EXPECT_ROW3_EQ(0,   0, 300, 0, to);
+    EXPECT_ROW4_EQ(0,   0,  0,  1, to);
+}
+
+TEST(WebTransformationMatrixTest, verifyBlendForSkewX)
+{
+    WebTransformationMatrix from;
+    from.skewX(0);
+
+    WebTransformationMatrix to;
+
+    to.makeIdentity();
+    to.skewX(45);
+    to.blend(from, 0);
+    EXPECT_TRANSFORMATION_MATRIX_EQ(from, to);
+
+    to.makeIdentity();
+    to.skewX(45);
+    to.blend(from, 0.5);
+    EXPECT_ROW1_EQ(1, 0.5, 0, 0, to);
+    EXPECT_ROW2_EQ(0,  1,  0, 0, to);
+    EXPECT_ROW3_EQ(0,  0,  1, 0, to);
+    EXPECT_ROW4_EQ(0,  0,  0, 1, to);
+
+    to.makeIdentity();
+    to.skewX(45);
+    to.blend(from, 0.25);
+    EXPECT_ROW1_EQ(1, 0.25, 0, 0, to);
+    EXPECT_ROW2_EQ(0,   1,  0, 0, to);
+    EXPECT_ROW3_EQ(0,   0,  1, 0, to);
+    EXPECT_ROW4_EQ(0,   0,  0, 1, to);
+
+    to.makeIdentity();
+    to.skewX(45);
+    to.blend(from, 1);
+    EXPECT_ROW1_EQ(1, 1, 0, 0, to);
+    EXPECT_ROW2_EQ(0, 1, 0, 0, to);
+    EXPECT_ROW3_EQ(0, 0, 1, 0, to);
+    EXPECT_ROW4_EQ(0, 0, 0, 1, to);
+}
+
+TEST(WebTransformationMatrixTest, verifyBlendForSkewY)
+{
+    // NOTE CAREFULLY: Decomposition of skew and rotation terms of the matrix is
+    // inherently underconstrained, and so it does not always compute the originally
+    // intended skew parameters. The current implementation uses QR decomposition, which
+    // decomposes the shear into a rotation + non-uniform scale.
+    //
+    // It is unlikely that the decomposition implementation will need to change very
+    // often, so to get any test coverage, the compromise is to verify the exact matrix
+    // that the blend() operation produces.
+    //
+    // This problem also potentially exists for skewX, but the current QR decomposition
+    // implementation just happens to decompose those test matrices intuitively.
+
+    WebTransformationMatrix from;
+    from.skewY(0);
+
+    WebTransformationMatrix to;
+
+    to.makeIdentity();
+    to.skewY(45);
+    to.blend(from, 0);
+    EXPECT_TRANSFORMATION_MATRIX_EQ(from, to);
+
+    to.makeIdentity();
+    to.skewY(45);
+    to.blend(from, 0.25);
+    EXPECT_ROW1_NEAR(1.0823489449280947471976333, 0.0464370719145053845178239, 0, 0, to, ERROR_THRESHOLD);
+    EXPECT_ROW2_NEAR(0.2152925909665224513123150, 0.9541702441750861130032035, 0, 0, to, ERROR_THRESHOLD);
+    EXPECT_ROW3_EQ(0, 0, 1, 0, to);
+    EXPECT_ROW4_EQ(0, 0, 0, 1, to);
+
+    to.makeIdentity();
+    to.skewY(45);
+    to.blend(from, 0.5);
+    EXPECT_ROW1_NEAR(1.1152212925809066312865525, 0.0676495144007326631996335, 0, 0, to, ERROR_THRESHOLD);
+    EXPECT_ROW2_NEAR(0.4619397844342648662419037, 0.9519009045724774464858342, 0, 0, to, ERROR_THRESHOLD);
+    EXPECT_ROW3_EQ(0, 0, 1, 0, to);
+    EXPECT_ROW4_EQ(0, 0, 0, 1, to);
+
+    // Unfortunately, this case suffers from uncomfortably large precision error.
+    to.makeIdentity();
+    to.skewY(45);
+    to.blend(from, 1);
+    EXPECT_ROW1_NEAR(1, 0, 0, 0, to, LOOSE_ERROR_THRESHOLD);
+    EXPECT_ROW2_NEAR(1, 1, 0, 0, to, LOOSE_ERROR_THRESHOLD);
+    EXPECT_ROW3_EQ(0, 0, 1, 0, to);
+    EXPECT_ROW4_EQ(0, 0, 0, 1, to);
+}
+
+TEST(WebTransformationMatrixTest, verifyBlendForRotationAboutX)
+{
+    // Even though blending uses quaternions, axis-aligned rotations should blend the same
+    // with quaternions or Euler angles. So we can test rotation blending by comparing
+    // against manually specified matrices from Euler angles.
+
+    WebTransformationMatrix from;
+    from.rotate3d(1, 0, 0, 0);
+
+    WebTransformationMatrix to;
+
+    to.makeIdentity();
+    to.rotate3d(1, 0, 0, 90);
+    to.blend(from, 0);
+    EXPECT_TRANSFORMATION_MATRIX_EQ(from, to);
+
+    double expectedRotationAngle = 22.5 * piDouble / 180.0;
+    to.makeIdentity();
+    to.rotate3d(1, 0, 0, 90);
+    to.blend(from, 0.25);
+    EXPECT_ROW1_NEAR(1, 0, 0, 0, to, ERROR_THRESHOLD);
+    EXPECT_ROW2_NEAR(0, cos(expectedRotationAngle), -sin(expectedRotationAngle), 0, to, ERROR_THRESHOLD);
+    EXPECT_ROW3_NEAR(0, sin(expectedRotationAngle),  cos(expectedRotationAngle), 0, to, ERROR_THRESHOLD);
+    EXPECT_ROW4_EQ(0, 0, 0, 1, to);
+
+    expectedRotationAngle = 45 * piDouble / 180.0;
+    to.makeIdentity();
+    to.rotate3d(1, 0, 0, 90);
+    to.blend(from, 0.5);
+    EXPECT_ROW1_NEAR(1, 0, 0, 0, to, ERROR_THRESHOLD);
+    EXPECT_ROW2_NEAR(0, cos(expectedRotationAngle), -sin(expectedRotationAngle), 0, to, ERROR_THRESHOLD);
+    EXPECT_ROW3_NEAR(0, sin(expectedRotationAngle),  cos(expectedRotationAngle), 0, to, ERROR_THRESHOLD);
+    EXPECT_ROW4_EQ(0, 0, 0, 1, to);
+
+    to.makeIdentity();
+    to.rotate3d(1, 0, 0, 90);
+    to.blend(from, 1);
+    EXPECT_ROW1_NEAR(1, 0,  0, 0, to, ERROR_THRESHOLD);
+    EXPECT_ROW2_NEAR(0, 0, -1, 0, to, ERROR_THRESHOLD);
+    EXPECT_ROW3_NEAR(0, 1,  0, 0, to, ERROR_THRESHOLD);
+    EXPECT_ROW4_EQ(0, 0, 0, 1, to);
+}
+
+TEST(WebTransformationMatrixTest, verifyBlendForRotationAboutY)
+{
+    WebTransformationMatrix from;
+    from.rotate3d(0, 1, 0, 0);
+
+    WebTransformationMatrix to;
+
+    to.makeIdentity();
+    to.rotate3d(0, 1, 0, 90);
+    to.blend(from, 0);
+    EXPECT_TRANSFORMATION_MATRIX_EQ(from, to);
+
+    double expectedRotationAngle = 22.5 * piDouble / 180.0;
+    to.makeIdentity();
+    to.rotate3d(0, 1, 0, 90);
+    to.blend(from, 0.25);
+    EXPECT_ROW1_NEAR(cos(expectedRotationAngle),  0, sin(expectedRotationAngle), 0, to, ERROR_THRESHOLD);
+    EXPECT_ROW2_NEAR(0, 1, 0, 0, to, ERROR_THRESHOLD);
+    EXPECT_ROW3_NEAR(-sin(expectedRotationAngle), 0, cos(expectedRotationAngle), 0, to, ERROR_THRESHOLD);
+    EXPECT_ROW4_EQ(0, 0, 0, 1, to);
+
+    expectedRotationAngle = 45 * piDouble / 180.0;
+    to.makeIdentity();
+    to.rotate3d(0, 1, 0, 90);
+    to.blend(from, 0.5);
+    EXPECT_ROW1_NEAR(cos(expectedRotationAngle),  0, sin(expectedRotationAngle), 0, to, ERROR_THRESHOLD);
+    EXPECT_ROW2_NEAR(0, 1, 0, 0, to, ERROR_THRESHOLD);
+    EXPECT_ROW3_NEAR(-sin(expectedRotationAngle), 0, cos(expectedRotationAngle), 0, to, ERROR_THRESHOLD);
+    EXPECT_ROW4_EQ(0, 0, 0, 1, to);
+
+    to.makeIdentity();
+    to.rotate3d(0, 1, 0, 90);
+    to.blend(from, 1);
+    EXPECT_ROW1_NEAR(0,  0, 1, 0, to, ERROR_THRESHOLD);
+    EXPECT_ROW2_NEAR(0,  1, 0, 0, to, ERROR_THRESHOLD);
+    EXPECT_ROW3_NEAR(-1, 0, 0, 0, to, ERROR_THRESHOLD);
+    EXPECT_ROW4_EQ(0, 0, 0, 1, to);
+}
+
+TEST(WebTransformationMatrixTest, verifyBlendForRotationAboutZ)
+{
+    WebTransformationMatrix from;
+    from.rotate3d(0, 0, 1, 0);
+
+    WebTransformationMatrix to;
+
+    to.makeIdentity();
+    to.rotate3d(0, 0, 1, 90);
+    to.blend(from, 0);
+    EXPECT_TRANSFORMATION_MATRIX_EQ(from, to);
+
+    double expectedRotationAngle = 22.5 * piDouble / 180.0;
+    to.makeIdentity();
+    to.rotate3d(0, 0, 1, 90);
+    to.blend(from, 0.25);
+    EXPECT_ROW1_NEAR(cos(expectedRotationAngle), -sin(expectedRotationAngle), 0, 0, to, ERROR_THRESHOLD);
+    EXPECT_ROW2_NEAR(sin(expectedRotationAngle),  cos(expectedRotationAngle), 0, 0, to, ERROR_THRESHOLD);
+    EXPECT_ROW3_NEAR(0, 0, 1, 0, to, ERROR_THRESHOLD);
+    EXPECT_ROW4_EQ(0, 0, 0, 1, to);
+
+    expectedRotationAngle = 45 * piDouble / 180.0;
+    to.makeIdentity();
+    to.rotate3d(0, 0, 1, 90);
+    to.blend(from, 0.5);
+    EXPECT_ROW1_NEAR(cos(expectedRotationAngle), -sin(expectedRotationAngle), 0, 0, to, ERROR_THRESHOLD);
+    EXPECT_ROW2_NEAR(sin(expectedRotationAngle),  cos(expectedRotationAngle), 0, 0, to, ERROR_THRESHOLD);
+    EXPECT_ROW3_NEAR(0, 0, 1, 0, to, ERROR_THRESHOLD);
+    EXPECT_ROW4_EQ(0, 0, 0, 1, to);
+
+    to.makeIdentity();
+    to.rotate3d(0, 0, 1, 90);
+    to.blend(from, 1);
+    EXPECT_ROW1_NEAR(0, -1, 0, 0, to, ERROR_THRESHOLD);
+    EXPECT_ROW2_NEAR(1,  0, 0, 0, to, ERROR_THRESHOLD);
+    EXPECT_ROW3_NEAR(0,  0, 1, 0, to, ERROR_THRESHOLD);
+    EXPECT_ROW4_EQ(0, 0, 0, 1, to);
+}
+
+
+TEST(WebTransformationMatrixTest, verifyBlendForCompositeTransform)
+{
+    // Verify that the blending was done with a decomposition in correct order by blending
+    // a composite transform.
+    // Using matrix x vector notation (Ax = b, where x is column vector), the ordering should be:
+    // perspective * translation * rotation * skew * scale
+    //
+    // It is not as important (or meaningful) to check intermediate interpolations; order
+    // of operations will be tested well enough by the end cases that are easier to
+    // specify.
+    
+    WebTransformationMatrix from;
+    WebTransformationMatrix to;
+
+    WebTransformationMatrix expectedEndOfAnimation;
+    expectedEndOfAnimation.applyPerspective(1);
+    expectedEndOfAnimation.translate3d(10, 20, 30);
+    expectedEndOfAnimation.rotate3d(0, 0, 1, 25);
+    expectedEndOfAnimation.skewY(45);
+    expectedEndOfAnimation.scale3d(6, 7, 8);
+    
+    to = expectedEndOfAnimation;
+    to.blend(from, 0);
+    EXPECT_TRANSFORMATION_MATRIX_EQ(from, to);
+
+    to = expectedEndOfAnimation;
+    to.blend(from, 1);
+
+    // Recomposing the matrix results in a normalized matrix, so to verify we need to
+    // normalize the expectedEndOfAnimation before comparing elements. Normalizing means
+    // dividing everything by expectedEndOfAnimation.m44().
+    WebTransformationMatrix normalizedExpectedEndOfAnimation = expectedEndOfAnimation;
+    WebTransformationMatrix normalizationMatrix;
+    normalizationMatrix.setM11(1 / expectedEndOfAnimation.m44());
+    normalizationMatrix.setM22(1 / expectedEndOfAnimation.m44());
+    normalizationMatrix.setM33(1 / expectedEndOfAnimation.m44());
+    normalizationMatrix.setM44(1 / expectedEndOfAnimation.m44());
+    normalizedExpectedEndOfAnimation.multiply(normalizationMatrix);
+
+    EXPECT_TRANSFORMATION_MATRIX_EQ(normalizedExpectedEndOfAnimation, to);
+}
+
+} // namespace