Adding Blink-side 3d Box and Bounds calculations to TransformOperations

Source/platform/transforms/TransformOperationsTest.cpp

+/*
+ * Copyright (C) 2014 Google Inc. All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1.  Redistributions of source code must retain the above copyright
+ *     notice, this list of conditions and the following disclaimer.
+ * 2.  Redistributions in binary form must reproduce the above copyright
+ *     notice, this list of conditions and the following disclaimer in the
+ *     documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY APPLE INC. AND ITS CONTRIBUTORS ``AS IS'' AND ANY
+ * EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
+ * WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
+ * DISCLAIMED. IN NO EVENT SHALL APPLE INC. OR ITS CONTRIBUTORS BE LIABLE FOR ANY
+ * DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
+ * (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+ * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
+ * ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+ * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+ * SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+ */
+
+#include "config.h"
+#include "platform/transforms/TransformOperations.h"
+
+#include "platform/geometry/FloatBox.h"
+#include "platform/geometry/FloatBoxTestHelpers.h"
+#include "platform/transforms/IdentityTransformOperation.h"
+#include "platform/transforms/Matrix3DTransformOperation.h"
+#include "platform/transforms/MatrixTransformOperation.h"
+#include "platform/transforms/PerspectiveTransformOperation.h"
+#include "platform/transforms/RotateTransformOperation.h"
+#include "platform/transforms/ScaleTransformOperation.h"
+#include "platform/transforms/SkewTransformOperation.h"
+#include "platform/transforms/TranslateTransformOperation.h"
+
+#include <gtest/gtest.h>
+
+using namespace WebCore;
+namespace {
+
+static const TransformOperations identityOperations;
+
+static void EmpiricallyTestBounds(const TransformOperations& from,
+    const TransformOperations& to,
+    const double& minProgress,
+    const double& maxProgress)
+{
+    FloatBox box(200, 500, 100, 100, 300, 200);
+    FloatBox bounds;
+
+    EXPECT_TRUE(to.blendedBoundsForBox(box, from, minProgress, maxProgress, &bounds));
+    bool firstTime= true;

[Ian Vollick, 2014/06/17 15:54:56]

nit: ws

[awoloszyn, 2014/06/17 20:06:03]

Done.

+
+    FloatBox empiricalBounds;
+    static const size_t numSteps = 10;
+    for (size_t step = 0; step < numSteps; ++step) {
+        float t = step / (numSteps - 1);
+        t = minProgress + (maxProgress - minProgress) * t;
+        TransformOperations operations = from.blend(to, t);
+        TransformationMatrix matrix;
+        operations.apply(FloatSize(0, 0), matrix);
+        FloatBox transformed = box;
+        matrix.transformBox(transformed);
+
+        if (firstTime)
+            empiricalBounds = transformed;
+        else
+            empiricalBounds.unionBounds(transformed);
+        firstTime = false;
+    }
+
+    ASSERT_PRED_FORMAT2(FloatBoxTest::AssertContains, bounds, empiricalBounds);
+}
+
+TEST(TransformOperationsTest, AbsoluteAnimatedTranslatedBoundsTest)
+{
+    TransformOperations fromOps;
+    TransformOperations toOps;
+    fromOps.operations().append(TranslateTransformOperation::create(Length(-30, WebCore::Fixed), Length(20, WebCore::Fixed), 15, TransformOperation::Translate3D));
+    toOps.operations().append(TranslateTransformOperation::create(Length(10, WebCore::Fixed), Length(10, WebCore::Fixed), 200, TransformOperation::Translate3D));
+    FloatBox box(0, 0, 0, 10, 10, 10);
+    FloatBox bounds;
+
+    EXPECT_TRUE(toOps.blendedBoundsForBox(box, identityOperations, 0, 1, &bounds));
+    EXPECT_PRED_FORMAT2(FloatBoxTest::AssertAlmostEqual, FloatBox(0, 0, 0, 20, 20, 210), bounds);
+
+    EXPECT_TRUE(identityOperations.blendedBoundsForBox(box, toOps, 0, 1, &bounds));
+    EXPECT_PRED_FORMAT2(FloatBoxTest::AssertAlmostEqual, FloatBox(0, 0, 0, 20, 20, 210), bounds);
+
+    EXPECT_TRUE(identityOperations.blendedBoundsForBox(box, fromOps, 0, 1, &bounds));
+    EXPECT_PRED_FORMAT2(FloatBoxTest::AssertAlmostEqual, FloatBox(-30, 0, 0, 40, 30, 25), bounds);
+
+    EXPECT_TRUE(toOps.blendedBoundsForBox(box, fromOps, 0, 1, &bounds));
+    EXPECT_PRED_FORMAT2(FloatBoxTest::AssertAlmostEqual, FloatBox(-30, 10, 15, 50, 20, 195), bounds);
+
+    EXPECT_TRUE(toOps.blendedBoundsForBox(box, fromOps, -0.5, 1.25, &bounds));
+    EXPECT_PRED_FORMAT2(FloatBoxTest::AssertAlmostEqual, FloatBox(-50, 7.5, -77.5, 80, 27.5, 333.75), bounds);
+

[Ian Vollick, 2014/06/17 15:54:56]

nit: extra ws.

[awoloszyn, 2014/06/17 20:06:03]

Done.

+}
+
+TEST(TransformOperationsTest, EmpiricalAnimatedTranslatedBoundsTest)
+{
+    float testTransforms[][2][3] = {
+        { { 0, 0, 0 }, { 10, 10, 0 } } ,
+        { { -100, 202.5, -32.6 }, { 43.2, 56.1, 89.75 } },
+        { { 43.2, 56.1, 89.75 }, { -100, 202.5, -32.6 } }
+    };
+
+    // All progressions for animations start and end at 0, 1 respectively,
+    // we can go outside of these bounds, but will always at least contain
+    // [0,1].
+    float progress[][2] = {
+        { 0, 1 },
+        { -.25, 1.25 }
+    };
+
+    for (size_t i = 0; i < WTF_ARRAY_LENGTH(testTransforms); ++i) {
+        for (size_t j = 0; j < WTF_ARRAY_LENGTH(progress); ++j) {
+            TransformOperations fromOps;
+            TransformOperations toOps;
+            fromOps.operations().append(TranslateTransformOperation::create(Length(testTransforms[i][0][0], WebCore::Fixed), Length(testTransforms[i][0][1], WebCore::Fixed), testTransforms[i][0][2], TransformOperation::Translate3D));
+            toOps.operations().append(TranslateTransformOperation::create(Length(testTransforms[i][1][0], WebCore::Fixed), Length(testTransforms[i][1][1], WebCore::Fixed), testTransforms[i][1][2], TransformOperation::Translate3D));
+            EmpiricallyTestBounds(fromOps, toOps, 0, 1);
+        }
+    }
+}
+
+TEST(TransformOperationsTest, AbsoluteAnimatedScaleBoundsTest)
+{
+    TransformOperations fromOps;
+    TransformOperations toOps;
+    fromOps.operations().append(ScaleTransformOperation::create(4, -3, TransformOperation::Scale));
+    toOps.operations().append(ScaleTransformOperation::create(5, 2, TransformOperation::Scale));
+
+    FloatBox box(0, 0, 0, 10, 10, 10);
+    FloatBox bounds;
+

[Ian Vollick, 2014/06/17 15:54:56]

nit: extra ws.

[awoloszyn, 2014/06/17 20:06:03]

Done.

+
+    EXPECT_TRUE(toOps.blendedBoundsForBox(box, identityOperations, 0, 1, &bounds));
+    EXPECT_PRED_FORMAT2(FloatBoxTest::AssertAlmostEqual, FloatBox(0, 0, 0, 50, 20, 10), bounds);
+
+    EXPECT_TRUE(identityOperations.blendedBoundsForBox(box, toOps, 0, 1, &bounds));
+    EXPECT_PRED_FORMAT2(FloatBoxTest::AssertAlmostEqual, FloatBox(0, 0, 0, 50, 20, 10), bounds);
+
+    EXPECT_TRUE(identityOperations.blendedBoundsForBox(box, fromOps, 0, 1, &bounds));
+    EXPECT_PRED_FORMAT2(FloatBoxTest::AssertAlmostEqual, FloatBox(0, -30, 0, 40, 40, 10), bounds);
+
+    EXPECT_TRUE(toOps.blendedBoundsForBox(box, fromOps, 0, 1, &bounds));
+    EXPECT_PRED_FORMAT2(FloatBoxTest::AssertAlmostEqual, FloatBox(0, -30, 0, 50, 50, 10), bounds);
+
+    EXPECT_TRUE(toOps.blendedBoundsForBox(box, fromOps, -0.5, 1.25, &bounds));
+    EXPECT_PRED_FORMAT2(FloatBoxTest::AssertAlmostEqual, FloatBox(0, -55, 0, 52.5, 87.5, 10), bounds);
+}
+
+TEST(TransformOperationsTest, EmpiricalAnimatedScaleBoundsTest)
+{
+
+    float testTransforms[][2][3] = {
+        { { 1, 1, 1 }, { 10, 10, -32}},
+        { { 1, 2, 5 }, { -1, -2, -4}},
+        { { 0, 0, 0 }, { 1, 2, 3}},
+        { { 0, 0, 0 }, { 0, 0, 0}}
+    };
+
+    // All progressions for animations start and end at 0, 1 respectively,
+    // we can go outside of these bounds, but will always at least contain
+    // [0,1].
+    float progress[][2] = {
+        { 0, 1 },
+        { -.25f, 1.25f }
+    };
+
+    for (size_t i = 0; i < WTF_ARRAY_LENGTH(testTransforms); ++i) {
+        for (size_t j = 0; j < WTF_ARRAY_LENGTH(progress); ++j) {
+            TransformOperations fromOps;
+            TransformOperations toOps;
+            fromOps.operations().append(TranslateTransformOperation::create(Length(testTransforms[i][0][0], WebCore::Fixed), Length(testTransforms[i][0][1], WebCore::Fixed), testTransforms[i][0][2], TransformOperation::Translate3D));
+            toOps.operations().append(TranslateTransformOperation::create(Length(testTransforms[i][1][0], WebCore::Fixed), Length(testTransforms[i][1][1], WebCore::Fixed), testTransforms[i][1][2], TransformOperation::Translate3D));
+            EmpiricallyTestBounds(fromOps, toOps, 0, 1);
+        }
+    }
+}
+
+TEST(TransformOperationsTest, AbsoluteAnimatedRotationBounds)
+{
+    TransformOperations fromOps;
+    TransformOperations toOps;
+    fromOps.operations().append(RotateTransformOperation::create(0, TransformOperation::Rotate));
+    toOps.operations().append(RotateTransformOperation::create(360, TransformOperation::Rotate));
+    float sqrt2 = sqrt(2);
+    FloatBox box(-sqrt2, -sqrt2, 0, sqrt2, sqrt2, 0);
+    FloatBox bounds;
+
+    // Since we're rotating 360 degrees, any box with dimensions between 0 and
+    // 2 * sqrt(2) should give the same result;

[Ian Vollick, 2014/06/17 15:54:56]

nit s/;/./

[awoloszyn, 2014/06/17 20:06:03]

Done.

+    float sizes[] = { 0, 0.1f, sqrt2, 2*sqrt2 };
+    toOps.blendedBoundsForBox(box, fromOps, 0, 1, &bounds);
+    for (size_t i = 0; i < WTF_ARRAY_LENGTH(sizes); ++i) {
+        box.setSize(FloatPoint3D(sizes[i], sizes[i], 0));
+
+        EXPECT_TRUE(toOps.blendedBoundsForBox(box, fromOps, 0, 1, &bounds));
+        EXPECT_PRED_FORMAT2(FloatBoxTest::AssertAlmostEqual, FloatBox(-2, -2, 0, 4, 4, 0), bounds);
+    }
+}
+
+TEST(TransformOperationsTest, AbsoluteAnimatedExtremeRotationBounds)
+{
+    // If the normal is off-plane, we can have up to 6 exrema (min/max in each
+    // dimension between) the endpoints of the arg. This makes sure we are
+    // catching all 6.
+    TransformOperations fromOps;
+    TransformOperations toOps;
+    fromOps.operations().append(RotateTransformOperation::create(1, 1, 1, 30, TransformOperation::Rotate3D));
+    toOps.operations().append(RotateTransformOperation::create(1, 1, 1, 390,  TransformOperation::Rotate3D));
+
+    FloatBox box(1, 0, 0, 0, 0, 0);
+    FloatBox bounds;
+    float min = -1 / 3.0f;
+    float max = 1;
+    float size = max - min;
+    EXPECT_TRUE(toOps.blendedBoundsForBox(box, fromOps, 0, 1, &bounds));
+    EXPECT_PRED_FORMAT2(FloatBoxTest::AssertAlmostEqual, FloatBox(min, min, min, size, size, size), bounds);
+}
+
+TEST(TransformOperationsTest, AbsoluteAnimatedAxisRotationBounds)
+{
+    // We can handle rotations about a single axis. If the axes are different,
+    // we revert to matrix interpolation for which inflated bounds cannot be
+    // computed.
+    TransformOperations fromOps;
+    TransformOperations toSame;
+    TransformOperations toOpposite;
+    TransformOperations toDifferent;
+    fromOps.operations().append(RotateTransformOperation::create(1, 1, 1, 30, TransformOperation::Rotate3D));
+    toSame.operations().append(RotateTransformOperation::create(1, 1, 1, 390,  TransformOperation::Rotate3D));
+    toOpposite.operations().append(RotateTransformOperation::create(-1, -1, -1, 390,  TransformOperation::Rotate3D));
+    toDifferent.operations().append(RotateTransformOperation::create(1, 3, 1, 390,  TransformOperation::Rotate3D));
+
+    FloatBox box(1, 0, 0, 0, 0, 0);
+    FloatBox bounds;
+    EXPECT_TRUE(toSame.blendedBoundsForBox(box, fromOps, 0, 1, &bounds));
+    EXPECT_TRUE(toOpposite.blendedBoundsForBox(box, fromOps, 0, 1, &bounds));
+    EXPECT_FALSE(toDifferent.blendedBoundsForBox(box, fromOps, 0, 1, &bounds));
+}
+
+TEST(TransformOperationsTest, AbsoluteAnimatedOnAxisRotationBounds)
+{
+    // If we rotate a point that is on the axis of rotation, the box should not
+    // change at all.
+    TransformOperations fromOps;
+    TransformOperations toOps;
+    fromOps.operations().append(RotateTransformOperation::create(1, 1, 1, 30, TransformOperation::Rotate3D));
+    toOps.operations().append(RotateTransformOperation::create(1, 1, 1, 390,  TransformOperation::Rotate3D));
+
+    FloatBox box(1, 1, 1, 0, 0, 0);
+    FloatBox bounds;
+
+    EXPECT_TRUE(toOps.blendedBoundsForBox(box, fromOps, 0, 1, &bounds));
+    EXPECT_PRED_FORMAT2(FloatBoxTest::AssertAlmostEqual, box, bounds);
+}
+
+// This would have been best as anonymous structs, but |WTF_ARRAY_LENGTH|
+// does not get along with anonymous structs once we support C++11
+// WTF_ARRAY_LENGTH will automatically support anonymous structs.
+
+struct ProblematicAxisTest {
+    double x;
+    double y;
+    double z;
+    FloatBox expected;
+};
+
+TEST(TransformOperationsTest, AbsoluteAnimatedProblematicAxisRotationBounds)
+{
+    // Zeros in the components of the axis osf rotation turned out to be tricky to
+    // deal with in practice. This function tests some potentially problematic
+    // axes to ensure sane behavior.
+
+    // Some common values used in the expected boxes.
+    float dim1 = 0.292893f;
+    float dim2 = sqrt(2);
+    float dim3 = 2 * dim2;
+
+    ProblematicAxisTest tests[] = {
+        { 0, 0, 0, FloatBox(1, 1, 1, 0, 0, 0) },
+        { 1, 0, 0, FloatBox(1, -dim2, -dim2, 0, dim3, dim3) },
+        { 0, 1, 0, FloatBox(-dim2, 1, -dim2, dim3, 0, dim3) },
+        { 0, 0, 1, FloatBox(-dim2, -dim2, 1, dim3, dim3, 0) },
+        { 1, 1, 0, FloatBox(dim1, dim1, -1, dim2, dim2, 2) },
+        { 0, 1, 1, FloatBox(-1, dim1, dim1, 2, dim2, dim2) },
+        { 1, 0, 1, FloatBox(dim1, -1, dim1, dim2, 2, dim2) }
+    };
+
+    for (size_t i = 0; i < WTF_ARRAY_LENGTH(tests); ++i) {
+        float x = tests[i].x;
+        float y = tests[i].y;
+        float z = tests[i].z;
+        TransformOperations fromOps;
+        fromOps.operations().append(RotateTransformOperation::create(x, y, z, 0, TransformOperation::Rotate3D));
+        TransformOperations toOps;
+        toOps.operations().append(RotateTransformOperation::create(x, y, z, 360, TransformOperation::Rotate3D));
+        FloatBox box(1, 1, 1, 0, 0, 0);
+        FloatBox bounds;
+
+        EXPECT_TRUE(toOps.blendedBoundsForBox(
+            box, fromOps, 0, 1, &bounds));
+        EXPECT_PRED_FORMAT2(FloatBoxTest::AssertAlmostEqual, tests[i].expected, bounds);
+    }
+}
+
+
+TEST(TransformOperationsTest, BlendedBoundsForRotationEmpiricalTests)
+{
+    float axes[][3] = {
+        { 1, 1, 1 },
+        { -1, -1, -1 },
+        { -1, 2, 3 },
+        { 1, -2, 3 },
+        { 0, 0, 0 },
+        { 1, 0, 0 },
+        { 0, 1, 0 },
+        { 0, 0, 1 },
+        { 1, 1, 0 },
+        { 0, 1, 1 },
+        { 1, 0, 1 },
+        { -1, 0, 0 },
+        { 0, -1, 0 },
+        { 0, 0, -1 },
+        { -1, -1, 0 },
+        { 0, -1, -1 },
+        { -1, 0, -1 }
+    };
+
+    float angles[][2] = {
+        { 5, 100 },
+        { 10, 5 },
+        { 0, 360 },
+        { 20, 180 },
+        { -20, -180 },
+        { 180, -220 },
+        { 220, 320 },
+        { 1020, 1120 },
+        {-3200, 120 },
+        {-9000, -9050 }
+    };
+
+    float progress[][2] = {
+        { 0, 1 },
+        { -0.25f, 1.25f }
+    };
+
+    for (size_t i = 0; i < WTF_ARRAY_LENGTH(axes); ++i) {
+        for (size_t j = 0; j < WTF_ARRAY_LENGTH(angles); ++j) {
+            for (size_t k = 0; k < WTF_ARRAY_LENGTH(progress); ++k) {
+                float x = axes[i][0];
+                float y = axes[i][1];
+                float z = axes[i][2];
+
+                TransformOperations fromOps;
+                TransformOperations toOps;
+
+                fromOps.operations().append(RotateTransformOperation::create(x, y, z, angles[j][0], TransformOperation::Rotate3D));
+                toOps.operations().append(RotateTransformOperation::create(x, y, z, angles[j][1], TransformOperation::Rotate3D));
+                EmpiricallyTestBounds(fromOps, toOps, progress[k][0], progress[k][1]);
+            }
+        }
+    }
+}
+
+TEST(TransformOperationsTest, AbsoluteAnimatedPerspectiveBoundsTest)
+{
+    TransformOperations fromOps;
+    TransformOperations toOps;
+    fromOps.operations().append(PerspectiveTransformOperation::create(10));
+    toOps.operations().append(PerspectiveTransformOperation::create(30));
+    FloatBox box(0, 0, 0, 10, 10, 10);
+    FloatBox bounds;
+    toOps.blendedBoundsForBox(box, fromOps, 0, 1, &bounds);
+    EXPECT_PRED_FORMAT2(FloatBoxTest::AssertAlmostEqual, FloatBox(0, 0, 0, 15, 15, 15), bounds);
+
+    fromOps.blendedBoundsForBox(box, toOps, -0.25, 1.25, &bounds);
+    EXPECT_PRED_FORMAT2(FloatBoxTest::AssertAlmostEqual, FloatBox(-40, -40, -40, 52, 52, 52), bounds);
+}
+
+TEST(TransformOperationsTest, EmpiricalAnimatedPerspectiveBoundsTest)
+{
+    float depths[][2] = {
+        { 600, 400 },
+        { 800, 1000 },
+        { 800, std::numeric_limits<float>::infinity() }
+    };
+
+    float progress[][2] = {
+        { 0, 1 },
+        {-0.1f, 1.1f }
+    };
+
+    for (size_t i = 0; i < WTF_ARRAY_LENGTH(depths); ++i) {
+        for (size_t j = 0; j < WTF_ARRAY_LENGTH(progress); ++j) {
+            TransformOperations fromOps;
+            TransformOperations toOps;
+
+            fromOps.operations().append(PerspectiveTransformOperation::create(depths[i][0]));
+            toOps.operations().append(PerspectiveTransformOperation::create(depths[i][1]));
+
+            EmpiricallyTestBounds(fromOps, toOps, progress[j][0], progress[j][1]);
+        }
+    }
+}
+
+
+TEST(TransformOperationsTest, AnimatedSkewBoundsTest)
+{
+    TransformOperations fromOps;
+    TransformOperations toOps;
+    fromOps.operations().append(SkewTransformOperation::create(-45, 0, TransformOperation::Skew));
+    toOps.operations().append(SkewTransformOperation::create(0, 45, TransformOperation::Skew));
+    FloatBox box(0, 0, 0, 10, 10, 10);
+    FloatBox bounds;
+
+    toOps.blendedBoundsForBox(box, identityOperations, 0, 1, &bounds);
+    ASSERT_PRED_FORMAT2(FloatBoxTest::AssertAlmostEqual, FloatBox(0, 0, 0, 10, 20, 10), bounds);
+
+    identityOperations.blendedBoundsForBox(box, fromOps, 0, 1, &bounds);
+    ASSERT_PRED_FORMAT2(FloatBoxTest::AssertAlmostEqual, FloatBox(-10, 0, 0, 20, 10, 10), bounds);
+
+    toOps.blendedBoundsForBox(box, fromOps, 0, 1, &bounds);
+    ASSERT_PRED_FORMAT2(FloatBoxTest::AssertAlmostEqual, FloatBox(-10, 0, 0, 20, 20, 10), bounds);
+
+    fromOps.blendedBoundsForBox(box, toOps, 0, 1, &bounds);
+    ASSERT_PRED_FORMAT2(FloatBoxTest::AssertAlmostEqual, FloatBox(-10, 0, 0, 20, 20, 10), bounds);
+}
+
+TEST(TransformOperationsTest, NonCommutativeRotations)
+{
+    TransformOperations fromOps;
+    fromOps.operations().append(RotateTransformOperation::create(1, 0, 0, 0, TransformOperation::Rotate3D));
+    fromOps.operations().append(RotateTransformOperation::create(0, 1, 0, 0, TransformOperation::Rotate3D));
+    TransformOperations toOps;
+    toOps.operations().append(RotateTransformOperation::create(1, 0, 0, 45, TransformOperation::Rotate3D));
+    toOps.operations().append(RotateTransformOperation::create(0, 1, 0, 135, TransformOperation::Rotate3D));
+
+    FloatBox box(0, 0, 0, 1, 1, 1);
+    FloatBox bounds;
+
+    double minProgress = 0;
+    double maxProgress = 1;
+    EXPECT_TRUE(toOps.blendedBoundsForBox(
+        box, fromOps, minProgress, maxProgress, &bounds));
+
+    TransformOperations operations = toOps.blend(fromOps, maxProgress);
+    TransformationMatrix blendedTransform;
+    operations.apply(FloatSize(0, 0), blendedTransform);
+
+    FloatPoint3D blendedPoint(0.9f, 0.9f, 0);
+    blendedPoint = blendedTransform.mapPoint(blendedPoint);
+    FloatBox expandedBounds = bounds;
+    expandedBounds.expandTo(blendedPoint);
+
+    ASSERT_PRED_FORMAT2(FloatBoxTest::AssertAlmostEqual, bounds, expandedBounds);
+}
+
+TEST(TransformOperationsTest, AbsoluteSequenceBoundsTest)
+{
+    TransformOperations fromOps;
+    TransformOperations toOps;
+
+    fromOps.operations().append(TranslateTransformOperation::create(Length(1, Fixed), Length(-5, Fixed), 1, TransformOperation::Translate3D));
+    fromOps.operations().append(ScaleTransformOperation::create(-1, 2, 3, TransformOperation::Scale3D));
+    fromOps.operations().append(TranslateTransformOperation::create(Length(2, Fixed), Length(4, Fixed), -1, TransformOperation::Translate3D));
+
+    toOps.operations().append(TranslateTransformOperation::create(Length(13, Fixed), Length(-1, Fixed), 5, TransformOperation::Translate3D));
+    toOps.operations().append(ScaleTransformOperation::create(-3, -2, 5, TransformOperation::Scale3D));
+    toOps.operations().append(TranslateTransformOperation::create(Length(6, Fixed), Length(-2, Fixed), 3, TransformOperation::Translate3D));
+
+    FloatBox box(1, 2, 3, 4, 4, 4);
+    FloatBox bounds;
+
+    EXPECT_TRUE(toOps.blendedBoundsForBox(box, fromOps, -0.5, 1.5, &bounds));
+    EXPECT_PRED_FORMAT2(FloatBoxTest::AssertAlmostEqual, FloatBox(-57, -59, -1, 76, 112, 80), bounds);
+
+    EXPECT_TRUE(toOps.blendedBoundsForBox(box, fromOps, 0, 1, &bounds));
+    EXPECT_PRED_FORMAT2(FloatBoxTest::AssertAlmostEqual, FloatBox(-32, -25, 7, 42, 44, 48), bounds);
+
+    EXPECT_TRUE(toOps.blendedBoundsForBox(box, identityOperations, 0, 1, &bounds));
+    EXPECT_PRED_FORMAT2(FloatBoxTest::AssertAlmostEqual, FloatBox(-33, -13, 3, 57, 19, 52), bounds);
+
+    EXPECT_TRUE(identityOperations.blendedBoundsForBox(box, fromOps, 0, 1, &bounds));
+    EXPECT_PRED_FORMAT2(FloatBoxTest::AssertAlmostEqual, FloatBox(-7, -3, 2, 15, 23, 20), bounds);
+}
+
+} // namespace