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chromium / chromium / src / 1b14a45ac508a066cc3c060dd37327c3a13a6fda / . / cc / math_util_unittest.cc
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// 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 "cc/math_util.h"
#include <cmath>
#include "cc/test/geometry_test_utils.h"
#include "testing/gmock/include/gmock/gmock.h"
#include "testing/gtest/include/gtest/gtest.h"
#include "ui/gfx/rect.h"
#include "ui/gfx/rect_f.h"
#include "ui/gfx/transform.h"
namespace cc {
namespace {
TEST(MathUtilTest, verifyBackfaceVisibilityBasicCases)
{
gfx::Transform transform;
transform.MakeIdentity();
EXPECT_FALSE(transform.IsBackFaceVisible());
transform.MakeIdentity();
MathUtil::rotateEulerAngles(&transform, 0, 80, 0);
EXPECT_FALSE(transform.IsBackFaceVisible());
transform.MakeIdentity();
MathUtil::rotateEulerAngles(&transform, 0, 100, 0);
EXPECT_TRUE(transform.IsBackFaceVisible());
// Edge case, 90 degree rotation should return false.
transform.MakeIdentity();
MathUtil::rotateEulerAngles(&transform, 0, 90, 0);
EXPECT_FALSE(transform.IsBackFaceVisible());
}
TEST(MathUtilTest, verifyBackfaceVisibilityForPerspective)
{
gfx::Transform layerSpaceToProjectionPlane;
// This tests if IsBackFaceVisible works properly under perspective transforms.
// Specifically, layers that may have their back face visible in orthographic
// projection, may not actually have back face visible under perspective projection.
// Case 1: Layer is rotated by slightly more than 90 degrees, at the center of the
// prespective projection. In this case, the layer's back-side is visible to
// the camera.
layerSpaceToProjectionPlane.MakeIdentity();
layerSpaceToProjectionPlane.ApplyPerspectiveDepth(1);
layerSpaceToProjectionPlane.Translate3d(0, 0, 0);
MathUtil::rotateEulerAngles(&layerSpaceToProjectionPlane, 0, 100, 0);
EXPECT_TRUE(layerSpaceToProjectionPlane.IsBackFaceVisible());
// Case 2: Layer is rotated by slightly more than 90 degrees, but shifted off to the
// side of the camera. Because of the wide field-of-view, the layer's front
// side is still visible.
//
// |<-- front side of layer is visible to perspective camera
// \ | /
// \ | /
// \| /
// | /
// |\ /<-- camera field of view
// | \ /
// back side of layer -->| \ /
// \./ <-- camera origin
//
layerSpaceToProjectionPlane.MakeIdentity();
layerSpaceToProjectionPlane.ApplyPerspectiveDepth(1);
layerSpaceToProjectionPlane.Translate3d(-10, 0, 0);
MathUtil::rotateEulerAngles(&layerSpaceToProjectionPlane, 0, 100, 0);
EXPECT_FALSE(layerSpaceToProjectionPlane.IsBackFaceVisible());
// Case 3: Additionally rotating the layer by 180 degrees should of course show the
// opposite result of case 2.
MathUtil::rotateEulerAngles(&layerSpaceToProjectionPlane, 0, 180, 0);
EXPECT_TRUE(layerSpaceToProjectionPlane.IsBackFaceVisible());
}
TEST(MathUtilTest, verifyProjectionOfPerpendicularPlane)
{
// In this case, the m33() element of the transform becomes zero, which could cause a
// divide-by-zero when projecting points/quads.
gfx::Transform transform;
transform.MakeIdentity();
transform.matrix().setDouble(2, 2, 0);
gfx::RectF rect = gfx::RectF(0, 0, 1, 1);
gfx::RectF projectedRect = MathUtil::projectClippedRect(transform, rect);
EXPECT_EQ(0, projectedRect.x());
EXPECT_EQ(0, projectedRect.y());
EXPECT_TRUE(projectedRect.IsEmpty());
}
TEST(MathUtilTest, verifyEnclosingClippedRectUsesCorrectInitialBounds)
{
HomogeneousCoordinate h1(-100, -100, 0, 1);
HomogeneousCoordinate h2(-10, -10, 0, 1);
HomogeneousCoordinate h3(10, 10, 0, -1);
HomogeneousCoordinate h4(100, 100, 0, -1);
// The bounds of the enclosing clipped rect should be -100 to -10 for both x and y.
// However, if there is a bug where the initial xmin/xmax/ymin/ymax are initialized to
// numeric_limits<float>::min() (which is zero, not -flt_max) then the enclosing
// clipped rect will be computed incorrectly.
gfx::RectF result = MathUtil::computeEnclosingClippedRect(h1, h2, h3, h4);
EXPECT_FLOAT_RECT_EQ(gfx::RectF(gfx::PointF(-100, -100), gfx::SizeF(90, 90)), result);
}
TEST(MathUtilTest, verifyEnclosingRectOfVerticesUsesCorrectInitialBounds)
{
gfx::PointF vertices[3];
int numVertices = 3;
vertices[0] = gfx::PointF(-10, -100);
vertices[1] = gfx::PointF(-100, -10);
vertices[2] = gfx::PointF(-30, -30);
// The bounds of the enclosing rect should be -100 to -10 for both x and y. However,
// if there is a bug where the initial xmin/xmax/ymin/ymax are initialized to
// numeric_limits<float>::min() (which is zero, not -flt_max) then the enclosing
// clipped rect will be computed incorrectly.
gfx::RectF result = MathUtil::computeEnclosingRectOfVertices(vertices, numVertices);
EXPECT_FLOAT_RECT_EQ(gfx::RectF(gfx::PointF(-100, -100), gfx::SizeF(90, 90)), result);
}
TEST(MathUtilTest, smallestAngleBetweenVectors)
{
gfx::Vector2dF x(1, 0);
gfx::Vector2dF y(0, 1);
gfx::Vector2dF testVector(0.5, 0.5);
// Orthogonal vectors are at an angle of 90 degress.
EXPECT_EQ(90, MathUtil::smallestAngleBetweenVectors(x, y));
// A vector makes a zero angle with itself.
EXPECT_EQ(0, MathUtil::smallestAngleBetweenVectors(x, x));
EXPECT_EQ(0, MathUtil::smallestAngleBetweenVectors(y, y));
EXPECT_EQ(0, MathUtil::smallestAngleBetweenVectors(testVector, testVector));
// Parallel but reversed vectors are at 180 degrees.
EXPECT_FLOAT_EQ(180, MathUtil::smallestAngleBetweenVectors(x, -x));
EXPECT_FLOAT_EQ(180, MathUtil::smallestAngleBetweenVectors(y, -y));
EXPECT_FLOAT_EQ(180, MathUtil::smallestAngleBetweenVectors(testVector, -testVector));
// The test vector is at a known angle.
EXPECT_FLOAT_EQ(45, std::floor(MathUtil::smallestAngleBetweenVectors(testVector, x)));
EXPECT_FLOAT_EQ(45, std::floor(MathUtil::smallestAngleBetweenVectors(testVector, y)));
}
TEST(MathUtilTest, vectorProjection)
{
gfx::Vector2dF x(1, 0);
gfx::Vector2dF y(0, 1);
gfx::Vector2dF testVector(0.3f, 0.7f);
// Orthogonal vectors project to a zero vector.
EXPECT_VECTOR_EQ(gfx::Vector2dF(0, 0), MathUtil::projectVector(x, y));
EXPECT_VECTOR_EQ(gfx::Vector2dF(0, 0), MathUtil::projectVector(y, x));
// Projecting a vector onto the orthonormal basis gives the corresponding component of the
// vector.
EXPECT_VECTOR_EQ(gfx::Vector2dF(testVector.x(), 0), MathUtil::projectVector(testVector, x));
EXPECT_VECTOR_EQ(gfx::Vector2dF(0, testVector.y()), MathUtil::projectVector(testVector, y));
// Finally check than an arbitrary vector projected to another one gives a vector parallel to
// the second vector.
gfx::Vector2dF targetVector(0.5, 0.2f);
gfx::Vector2dF projectedVector = MathUtil::projectVector(testVector, targetVector);
EXPECT_EQ(projectedVector.x() / targetVector.x(),
projectedVector.y() / targetVector.y());
}
// TODO(shawnsingh): these macros are redundant with those from
// web_transformation_matrix_unittests, but for now they
// are different enough to be appropriate here.
#define EXPECT_ROW1_EQ(a, b, c, d, transform) \
EXPECT_FLOAT_EQ((a), (transform).matrix().getDouble(0, 0)); \
EXPECT_FLOAT_EQ((b), (transform).matrix().getDouble(0, 1)); \
EXPECT_FLOAT_EQ((c), (transform).matrix().getDouble(0, 2)); \
EXPECT_FLOAT_EQ((d), (transform).matrix().getDouble(0, 3));
#define EXPECT_ROW2_EQ(a, b, c, d, transform) \
EXPECT_FLOAT_EQ((a), (transform).matrix().getDouble(1, 0)); \
EXPECT_FLOAT_EQ((b), (transform).matrix().getDouble(1, 1)); \
EXPECT_FLOAT_EQ((c), (transform).matrix().getDouble(1, 2)); \
EXPECT_FLOAT_EQ((d), (transform).matrix().getDouble(1, 3));
#define EXPECT_ROW3_EQ(a, b, c, d, transform) \
EXPECT_FLOAT_EQ((a), (transform).matrix().getDouble(2, 0)); \
EXPECT_FLOAT_EQ((b), (transform).matrix().getDouble(2, 1)); \
EXPECT_FLOAT_EQ((c), (transform).matrix().getDouble(2, 2)); \
EXPECT_FLOAT_EQ((d), (transform).matrix().getDouble(2, 3));
#define EXPECT_ROW4_EQ(a, b, c, d, transform) \
EXPECT_FLOAT_EQ((a), (transform).matrix().getDouble(3, 0)); \
EXPECT_FLOAT_EQ((b), (transform).matrix().getDouble(3, 1)); \
EXPECT_FLOAT_EQ((c), (transform).matrix().getDouble(3, 2)); \
EXPECT_FLOAT_EQ((d), (transform).matrix().getDouble(3, 3));
// 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, transform, errorThreshold) \
EXPECT_NEAR((a), (transform).matrix().getDouble(0, 0), (errorThreshold)); \
EXPECT_NEAR((b), (transform).matrix().getDouble(0, 1), (errorThreshold)); \
EXPECT_NEAR((c), (transform).matrix().getDouble(0, 2), (errorThreshold)); \
EXPECT_NEAR((d), (transform).matrix().getDouble(0, 3), (errorThreshold));
#define EXPECT_ROW2_NEAR(a, b, c, d, transform, errorThreshold) \
EXPECT_NEAR((a), (transform).matrix().getDouble(1, 0), (errorThreshold)); \
EXPECT_NEAR((b), (transform).matrix().getDouble(1, 1), (errorThreshold)); \
EXPECT_NEAR((c), (transform).matrix().getDouble(1, 2), (errorThreshold)); \
EXPECT_NEAR((d), (transform).matrix().getDouble(1, 3), (errorThreshold));
#define EXPECT_ROW3_NEAR(a, b, c, d, transform, errorThreshold) \
EXPECT_NEAR((a), (transform).matrix().getDouble(2, 0), (errorThreshold)); \
EXPECT_NEAR((b), (transform).matrix().getDouble(2, 1), (errorThreshold)); \
EXPECT_NEAR((c), (transform).matrix().getDouble(2, 2), (errorThreshold)); \
EXPECT_NEAR((d), (transform).matrix().getDouble(2, 3), (errorThreshold));
#define ERROR_THRESHOLD 1e-14
#define LOOSE_ERROR_THRESHOLD 1e-7
static void initializeTestMatrix(gfx::Transform* transform)
{
SkMatrix44& matrix = transform->matrix();
matrix.setDouble(0, 0, 10);
matrix.setDouble(1, 0, 11);
matrix.setDouble(2, 0, 12);
matrix.setDouble(3, 0, 13);
matrix.setDouble(0, 1, 14);
matrix.setDouble(1, 1, 15);
matrix.setDouble(2, 1, 16);
matrix.setDouble(3, 1, 17);
matrix.setDouble(0, 2, 18);
matrix.setDouble(1, 2, 19);
matrix.setDouble(2, 2, 20);
matrix.setDouble(3, 2, 21);
matrix.setDouble(0, 3, 22);
matrix.setDouble(1, 3, 23);
matrix.setDouble(2, 3, 24);
matrix.setDouble(3, 3, 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(gfx::Transform* transform)
{
SkMatrix44& matrix = transform->matrix();
matrix.setDouble(0, 0, 30);
matrix.setDouble(1, 0, 31);
matrix.setDouble(2, 0, 32);
matrix.setDouble(3, 0, 33);
matrix.setDouble(0, 1, 34);
matrix.setDouble(1, 1, 35);
matrix.setDouble(2, 1, 36);
matrix.setDouble(3, 1, 37);
matrix.setDouble(0, 2, 38);
matrix.setDouble(1, 2, 39);
matrix.setDouble(2, 2, 40);
matrix.setDouble(3, 2, 41);
matrix.setDouble(0, 3, 42);
matrix.setDouble(1, 3, 43);
matrix.setDouble(2, 3, 44);
matrix.setDouble(3, 3, 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(MathUtilGfxTransformTest, verifyDefaultConstructorCreatesIdentityMatrix)
{
gfx::Transform 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(MathUtilGfxTransformTest, verifyCreateGfxTransformFor2dElements)
{
gfx::Transform A = MathUtil::createGfxTransform(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(MathUtilGfxTransformTest, verifyCreateGfxTransformForAllElements)
{
gfx::Transform A = MathUtil::createGfxTransform(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(MathUtilGfxTransformTest, verifyCopyConstructor)
{
gfx::Transform A;
initializeTestMatrix(&A);
// Copy constructor should produce exact same elements as matrix A.
gfx::Transform 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(MathUtilGfxTransformTest, verifyMatrixInversion)
{
// Invert a translation
gfx::Transform translation;
translation.Translate3d(2, 3, 4);
EXPECT_TRUE(translation.IsInvertible());
gfx::Transform inverseTranslation = MathUtil::inverse(translation);
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
gfx::Transform scale;
scale.Scale3d(4, 10, 100);
EXPECT_TRUE(scale.IsInvertible());
gfx::Transform inverseScale = MathUtil::inverse(scale);
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.
gfx::Transform notInvertible;
notInvertible.matrix().setDouble(0, 0, 0);
notInvertible.matrix().setDouble(1, 1, 0);
notInvertible.matrix().setDouble(2, 2, 0);
notInvertible.matrix().setDouble(3, 3, 0);
EXPECT_FALSE(notInvertible.IsInvertible());
gfx::Transform inverseOfNotInvertible;
initializeTestMatrix(&inverseOfNotInvertible); // initialize this to something non-identity, to make sure that assignment below actually took place.
inverseOfNotInvertible = MathUtil::inverse(notInvertible);
EXPECT_TRUE(inverseOfNotInvertible.IsIdentity());
}
TEST(MathUtilGfxTransformTest, verifyTo2DTransform)
{
gfx::Transform A;
initializeTestMatrix(&A);
gfx::Transform B = MathUtil::to2dTransform(A);
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(MathUtilGfxTransformTest, verifyAssignmentOperator)
{
gfx::Transform A;
initializeTestMatrix(&A);
gfx::Transform B;
initializeTestMatrix2(&B);
gfx::Transform 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(MathUtilGfxTransformTest, verifyEqualsBooleanOperator)
{
gfx::Transform A;
initializeTestMatrix(&A);
gfx::Transform B;
initializeTestMatrix(&B);
EXPECT_TRUE(A == B);
// Modifying multiple elements should cause equals operator to return false.
gfx::Transform C;
initializeTestMatrix2(&C);
EXPECT_FALSE(A == C);
// Modifying any one individual element should cause equals operator to return false.
gfx::Transform D;
D = A;
D.matrix().setDouble(0, 0, 0);
EXPECT_FALSE(A == D);
D = A;
D.matrix().setDouble(1, 0, 0);
EXPECT_FALSE(A == D);
D = A;
D.matrix().setDouble(2, 0, 0);
EXPECT_FALSE(A == D);
D = A;
D.matrix().setDouble(3, 0, 0);
EXPECT_FALSE(A == D);
D = A;
D.matrix().setDouble(0, 1, 0);
EXPECT_FALSE(A == D);
D = A;
D.matrix().setDouble(1, 1, 0);
EXPECT_FALSE(A == D);
D = A;
D.matrix().setDouble(2, 1, 0);
EXPECT_FALSE(A == D);
D = A;
D.matrix().setDouble(3, 1, 0);
EXPECT_FALSE(A == D);
D = A;
D.matrix().setDouble(0, 2, 0);
EXPECT_FALSE(A == D);
D = A;
D.matrix().setDouble(1, 2, 0);
EXPECT_FALSE(A == D);
D = A;
D.matrix().setDouble(2, 2, 0);
EXPECT_FALSE(A == D);
D = A;
D.matrix().setDouble(3, 2, 0);
EXPECT_FALSE(A == D);
D = A;
D.matrix().setDouble(0, 3, 0);
EXPECT_FALSE(A == D);
D = A;
D.matrix().setDouble(1, 3, 0);
EXPECT_FALSE(A == D);
D = A;
D.matrix().setDouble(2, 3, 0);
EXPECT_FALSE(A == D);
D = A;
D.matrix().setDouble(3, 3, 0);
EXPECT_FALSE(A == D);
}
TEST(MathUtilGfxTransformTest, verifyMultiplyOperator)
{
gfx::Transform A;
initializeTestMatrix(&A);
gfx::Transform B;
initializeTestMatrix2(&B);
gfx::Transform 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(MathUtilGfxTransformTest, verifyMultiplyAndAssignOperator)
{
gfx::Transform A;
initializeTestMatrix(&A);
gfx::Transform B;
initializeTestMatrix2(&B);
A *= 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);
// Just an additional sanity check; matrix multiplication is not commutative.
gfx::Transform C = A;
C *= B;
gfx::Transform D = B;
D *= A;
EXPECT_FALSE(C == D);
}
TEST(MathUtilGfxTransformTest, verifyMatrixMultiplication)
{
gfx::Transform A;
initializeTestMatrix(&A);
gfx::Transform B;
initializeTestMatrix2(&B);
A.PreconcatTransform(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(MathUtilGfxTransformTest, verifyMakeIdentiy)
{
gfx::Transform 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(MathUtilGfxTransformTest, verifyTranslate)
{
gfx::Transform 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, 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(MathUtilGfxTransformTest, verifyTranslate3d)
{
gfx::Transform 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(MathUtilGfxTransformTest, verifyScale)
{
gfx::Transform A;
A.Scale(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 Scale() post-multiplies the existing matrix.
A.MakeIdentity();
A.Translate3d(2, 3, 4);
A.Scale(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(MathUtilGfxTransformTest, verifyScale3d)
{
gfx::Transform 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(MathUtilGfxTransformTest, verifyRotate)
{
gfx::Transform 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(MathUtilGfxTransformTest, verifyRotateEulerAngles)
{
gfx::Transform A;
// Check rotation about z-axis
A.MakeIdentity();
MathUtil::rotateEulerAngles(&A, 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();
MathUtil::rotateEulerAngles(&A, 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();
MathUtil::rotateEulerAngles(&A, 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);
MathUtil::rotateEulerAngles(&A, 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(MathUtilGfxTransformTest, verifyRotateEulerAnglesOrderOfCompositeRotations)
{
// 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.
gfx::Transform A;
A.MakeIdentity();
MathUtil::rotateEulerAngles(&A, 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(MathUtilGfxTransformTest, verifyRotateAboutXAxis)
{
gfx::Transform A;
double sin45 = 0.5 * sqrt(2.0);
double cos45 = sin45;
A.MakeIdentity();
A.RotateAboutXAxis(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);
A.MakeIdentity();
A.RotateAboutXAxis(45);
EXPECT_ROW1_EQ(1, 0, 0, 0, A);
EXPECT_ROW2_NEAR(0, cos45, -sin45, 0, A, ERROR_THRESHOLD);
EXPECT_ROW3_NEAR(0, sin45, cos45, 0, A, ERROR_THRESHOLD);
EXPECT_ROW4_EQ(0, 0, 0, 1, A);
// Verify that rotateAboutXAxis(angle) post-multiplies the existing matrix.
A.MakeIdentity();
A.Scale3d(6, 7, 8);
A.RotateAboutXAxis(90);
EXPECT_ROW1_NEAR(6, 0, 0, 0, A, ERROR_THRESHOLD);
EXPECT_ROW2_NEAR(0, 0, -7, 0, A, ERROR_THRESHOLD);
EXPECT_ROW3_NEAR(0, 8, 0, 0, A, ERROR_THRESHOLD);
EXPECT_ROW4_EQ(0, 0, 0, 1, A);
}
TEST(MathUtilGfxTransformTest, verifyRotateAboutYAxis)
{
gfx::Transform A;
double sin45 = 0.5 * sqrt(2.0);
double cos45 = sin45;
// Note carefully, the expected pattern is inverted compared to rotating about x axis or z axis.
A.MakeIdentity();
A.RotateAboutYAxis(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);
A.MakeIdentity();
A.RotateAboutYAxis(45);
EXPECT_ROW1_NEAR(cos45, 0, sin45, 0, A, ERROR_THRESHOLD);
EXPECT_ROW2_EQ(0, 1, 0, 0, A);
EXPECT_ROW3_NEAR(-sin45, 0, cos45, 0, A, ERROR_THRESHOLD);
EXPECT_ROW4_EQ(0, 0, 0, 1, A);
// Verify that rotateAboutYAxis(angle) post-multiplies the existing matrix.
A.MakeIdentity();
A.Scale3d(6, 7, 8);
A.RotateAboutYAxis(90);
EXPECT_ROW1_NEAR(0, 0, 6, 0, A, ERROR_THRESHOLD);
EXPECT_ROW2_NEAR(0, 7, 0, 0, A, ERROR_THRESHOLD);
EXPECT_ROW3_NEAR(-8, 0, 0, 0, A, ERROR_THRESHOLD);
EXPECT_ROW4_EQ(0, 0, 0, 1, A);
}
TEST(MathUtilGfxTransformTest, verifyRotateAboutZAxis)
{
gfx::Transform A;
double sin45 = 0.5 * sqrt(2.0);
double cos45 = sin45;
A.MakeIdentity();
A.RotateAboutZAxis(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);
A.MakeIdentity();
A.RotateAboutZAxis(45);
EXPECT_ROW1_NEAR(cos45, -sin45, 0, 0, A, ERROR_THRESHOLD);
EXPECT_ROW2_NEAR(sin45, cos45, 0, 0, A, ERROR_THRESHOLD);
EXPECT_ROW3_EQ(0, 0, 1, 0, A);
EXPECT_ROW4_EQ(0, 0, 0, 1, A);
// Verify that rotateAboutZAxis(angle) post-multiplies the existing matrix.
A.MakeIdentity();
A.Scale3d(6, 7, 8);
A.RotateAboutZAxis(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(MathUtilGfxTransformTest, verifyRotateAboutForAlignedAxes)
{
gfx::Transform A;
// Check rotation about z-axis
A.MakeIdentity();
A.RotateAbout(gfx::Vector3dF(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.RotateAbout(gfx::Vector3dF(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.RotateAbout(gfx::Vector3dF(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.RotateAboutZAxis(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(MathUtilGfxTransformTest, verifyRotateAboutForArbitraryAxis)
{
// Check rotation about an arbitrary non-axis-aligned vector.
gfx::Transform A;
A.RotateAbout(gfx::Vector3dF(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(MathUtilGfxTransformTest, verifyRotateAboutForDegenerateAxis)
{
// Check rotation about a degenerate zero vector.
// It is expected to skip applying the rotation.
gfx::Transform A;
A.RotateAbout(gfx::Vector3dF(0, 0, 0), 45);
// Verify that A remains unchanged.
EXPECT_TRUE(A.IsIdentity());
initializeTestMatrix(&A);
A.RotateAbout(gfx::Vector3dF(0, 0, 0), 35);
// Verify that A remains unchanged.
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(MathUtilGfxTransformTest, verifySkewX)
{
gfx::Transform 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(MathUtilGfxTransformTest, verifySkewY)
{
gfx::Transform 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(MathUtilGfxTransformTest, verifyPerspectiveDepth)
{
gfx::Transform A;
A.ApplyPerspectiveDepth(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 PerspectiveDepth() post-multiplies the existing matrix.
A.MakeIdentity();
A.Translate3d(2, 3, 4);
A.ApplyPerspectiveDepth(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(MathUtilGfxTransformTest, verifyHasPerspective)
{
gfx::Transform A;
A.ApplyPerspectiveDepth(1);
EXPECT_TRUE(A.HasPerspective());
A.MakeIdentity();
A.ApplyPerspectiveDepth(0);
EXPECT_FALSE(A.HasPerspective());
A.MakeIdentity();
A.matrix().setDouble(3, 0, -1);
EXPECT_TRUE(A.HasPerspective());
A.MakeIdentity();
A.matrix().setDouble(3, 1, -1);
EXPECT_TRUE(A.HasPerspective());
A.MakeIdentity();
A.matrix().setDouble(3, 2, -0.3);
EXPECT_TRUE(A.HasPerspective());
A.MakeIdentity();
A.matrix().setDouble(3, 3, 0.5);
EXPECT_TRUE(A.HasPerspective());
A.MakeIdentity();
A.matrix().setDouble(3, 3, 0);
EXPECT_TRUE(A.HasPerspective());
}
TEST(MathUtilGfxTransformTest, verifyIsInvertible)
{
gfx::Transform 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();
MathUtil::rotateEulerAngles(&A, 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.ApplyPerspectiveDepth(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.ApplyPerspectiveDepth(1);
A.matrix().setDouble(3, 3, 0);
EXPECT_FALSE(A.IsInvertible());
// Adding more to a non-invertible matrix will not make it invertible in the general case.
A.MakeIdentity();
A.ApplyPerspectiveDepth(1);
A.matrix().setDouble(3, 3, 0);
A.Scale3d(6, 7, 8);
MathUtil::rotateEulerAngles(&A, 10, 20, 30);
A.Translate3d(6, 7, 8);
EXPECT_FALSE(A.IsInvertible());
// A degenerate matrix of all zeros is not invertible.
A.MakeIdentity();
A.matrix().setDouble(0, 0, 0);
A.matrix().setDouble(1, 1, 0);
A.matrix().setDouble(2, 2, 0);
A.matrix().setDouble(3, 3, 0);
EXPECT_FALSE(A.IsInvertible());
}
TEST(MathUtilGfxTransformTest, verifyIsIdentity)
{
gfx::Transform 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.matrix().setDouble(0, 0, 2);
EXPECT_FALSE(A.IsIdentity());
A.MakeIdentity();
A.matrix().setDouble(1, 0, 2);
EXPECT_FALSE(A.IsIdentity());
A.MakeIdentity();
A.matrix().setDouble(2, 0, 2);
EXPECT_FALSE(A.IsIdentity());
A.MakeIdentity();
A.matrix().setDouble(3, 0, 2);
EXPECT_FALSE(A.IsIdentity());
A.MakeIdentity();
A.matrix().setDouble(0, 1, 2);
EXPECT_FALSE(A.IsIdentity());
A.MakeIdentity();
A.matrix().setDouble(1, 1, 2);
EXPECT_FALSE(A.IsIdentity());
A.MakeIdentity();
A.matrix().setDouble(2, 1, 2);
EXPECT_FALSE(A.IsIdentity());
A.MakeIdentity();
A.matrix().setDouble(3, 1, 2);
EXPECT_FALSE(A.IsIdentity());
A.MakeIdentity();
A.matrix().setDouble(0, 2, 2);
EXPECT_FALSE(A.IsIdentity());
A.MakeIdentity();
A.matrix().setDouble(1, 2, 2);
EXPECT_FALSE(A.IsIdentity());
A.MakeIdentity();
A.matrix().setDouble(2, 2, 2);
EXPECT_FALSE(A.IsIdentity());
A.MakeIdentity();
A.matrix().setDouble(3, 2, 2);
EXPECT_FALSE(A.IsIdentity());
A.MakeIdentity();
A.matrix().setDouble(0, 3, 2);
EXPECT_FALSE(A.IsIdentity());
A.MakeIdentity();
A.matrix().setDouble(1, 3, 2);
EXPECT_FALSE(A.IsIdentity());
A.MakeIdentity();
A.matrix().setDouble(2, 3, 2);
EXPECT_FALSE(A.IsIdentity());
A.MakeIdentity();
A.matrix().setDouble(3, 3, 2);
EXPECT_FALSE(A.IsIdentity());
}
TEST(MathUtilGfxTransformTest, verifyIsIdentityOrTranslation)
{
gfx::Transform 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: (0, 3), (1, 3), and (2, 3) are the translation components, so
// modifying them should still return true.
A.MakeIdentity();
A.matrix().setDouble(0, 0, 2);
EXPECT_FALSE(A.IsIdentityOrTranslation());
A.MakeIdentity();
A.matrix().setDouble(1, 0, 2);
EXPECT_FALSE(A.IsIdentityOrTranslation());
A.MakeIdentity();
A.matrix().setDouble(2, 0, 2);
EXPECT_FALSE(A.IsIdentityOrTranslation());
A.MakeIdentity();
A.matrix().setDouble(3, 0, 2);
EXPECT_FALSE(A.IsIdentityOrTranslation());
A.MakeIdentity();
A.matrix().setDouble(0, 1, 2);
EXPECT_FALSE(A.IsIdentityOrTranslation());
A.MakeIdentity();
A.matrix().setDouble(1, 1, 2);
EXPECT_FALSE(A.IsIdentityOrTranslation());
A.MakeIdentity();
A.matrix().setDouble(2, 1, 2);
EXPECT_FALSE(A.IsIdentityOrTranslation());
A.MakeIdentity();
A.matrix().setDouble(3, 1, 2);
EXPECT_FALSE(A.IsIdentityOrTranslation());
A.MakeIdentity();
A.matrix().setDouble(0, 2, 2);
EXPECT_FALSE(A.IsIdentityOrTranslation());
A.MakeIdentity();
A.matrix().setDouble(1, 2, 2);
EXPECT_FALSE(A.IsIdentityOrTranslation());
A.MakeIdentity();
A.matrix().setDouble(2, 2, 2);
EXPECT_FALSE(A.IsIdentityOrTranslation());
A.MakeIdentity();
A.matrix().setDouble(3, 2, 2);
EXPECT_FALSE(A.IsIdentityOrTranslation());
// Note carefully - expecting true here.
A.MakeIdentity();
A.matrix().setDouble(0, 3, 2);
EXPECT_TRUE(A.IsIdentityOrTranslation());
// Note carefully - expecting true here.
A.MakeIdentity();
A.matrix().setDouble(1, 3, 2);
EXPECT_TRUE(A.IsIdentityOrTranslation());
// Note carefully - expecting true here.
A.MakeIdentity();
A.matrix().setDouble(2, 3, 2);
EXPECT_TRUE(A.IsIdentityOrTranslation());
A.MakeIdentity();
A.matrix().setDouble(3, 3, 2);
EXPECT_FALSE(A.IsIdentityOrTranslation());
}
TEST(MathUtilGfxTransformTest, verifyIsScaleOrTranslation)
{
gfx::Transform A;
initializeTestMatrix(&A);
EXPECT_FALSE(A.IsScaleOrTranslation());
A.MakeIdentity();
EXPECT_TRUE(A.IsScaleOrTranslation());
// Modifying any non-scale or non-translation components should cause
// IsScaleOrTranslation() to return false. (0, 0), (1, 1), (2, 2), (0, 3),
// (1, 3), and (2, 3) are the scale and translation components, so
// modifying them should still return true.
// Note carefully - expecting true here.
A.MakeIdentity();
A.matrix().setDouble(0, 0, 2);
EXPECT_TRUE(A.IsScaleOrTranslation());
A.MakeIdentity();
A.matrix().setDouble(1, 0, 2);
EXPECT_FALSE(A.IsScaleOrTranslation());
A.MakeIdentity();
A.matrix().setDouble(2, 0, 2);
EXPECT_FALSE(A.IsScaleOrTranslation());
A.MakeIdentity();
A.matrix().setDouble(3, 0, 2);
EXPECT_FALSE(A.IsScaleOrTranslation());
A.MakeIdentity();
A.matrix().setDouble(0, 1, 2);
EXPECT_FALSE(A.IsScaleOrTranslation());
// Note carefully - expecting true here.
A.MakeIdentity();
A.matrix().setDouble(1, 1, 2);
EXPECT_TRUE(A.IsScaleOrTranslation());
A.MakeIdentity();
A.matrix().setDouble(2, 1, 2);
EXPECT_FALSE(A.IsScaleOrTranslation());
A.MakeIdentity();
A.matrix().setDouble(3, 1, 2);
EXPECT_FALSE(A.IsScaleOrTranslation());
A.MakeIdentity();
A.matrix().setDouble(0, 2, 2);
EXPECT_FALSE(A.IsScaleOrTranslation());
A.MakeIdentity();
A.matrix().setDouble(1, 2, 2);
EXPECT_FALSE(A.IsScaleOrTranslation());
// Note carefully - expecting true here.
A.MakeIdentity();
A.matrix().setDouble(2, 2, 2);
EXPECT_TRUE(A.IsScaleOrTranslation());
A.MakeIdentity();
A.matrix().setDouble(3, 2, 2);
EXPECT_FALSE(A.IsScaleOrTranslation());
// Note carefully - expecting true here.
A.MakeIdentity();
A.matrix().setDouble(0, 3, 2);
EXPECT_TRUE(A.IsScaleOrTranslation());
// Note carefully - expecting true here.
A.MakeIdentity();
A.matrix().setDouble(1, 3, 2);
EXPECT_TRUE(A.IsScaleOrTranslation());
// Note carefully - expecting true here.
A.MakeIdentity();
A.matrix().setDouble(2, 3, 2);
EXPECT_TRUE(A.IsScaleOrTranslation());
A.MakeIdentity();
A.matrix().setDouble(3, 3, 2);
EXPECT_FALSE(A.IsScaleOrTranslation());
}
} // namespace
} // namespace cc