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// Copyright (c) 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 <stddef.h>
#include <cmath>
#include <limits>
#include "base/stl_util.h"
#include "build/build_config.h"
#include "testing/gtest/include/gtest/gtest.h"
#include "ui/gfx/geometry/vector3d_f.h"
namespace gfx {
TEST(Vector3dTest, IsZero) {
gfx::Vector3dF float_zero(0, 0, 0);
gfx::Vector3dF float_nonzero(0.1f, -0.1f, 0.1f);
EXPECT_TRUE(float_zero.IsZero());
EXPECT_FALSE(float_nonzero.IsZero());
}
TEST(Vector3dTest, Add) {
gfx::Vector3dF f1(3.1f, 5.1f, 2.7f);
gfx::Vector3dF f2(4.3f, -1.3f, 8.1f);
const struct {
gfx::Vector3dF expected;
gfx::Vector3dF actual;
} float_tests[] = {
{ gfx::Vector3dF(3.1F, 5.1F, 2.7f), f1 + gfx::Vector3dF() },
{ gfx::Vector3dF(3.1f + 4.3f, 5.1f - 1.3f, 2.7f + 8.1f), f1 + f2 },
{ gfx::Vector3dF(3.1f - 4.3f, 5.1f + 1.3f, 2.7f - 8.1f), f1 - f2 }
};
for (size_t i = 0; i < base::size(float_tests); ++i)
EXPECT_EQ(float_tests[i].expected.ToString(),
float_tests[i].actual.ToString());
}
TEST(Vector3dTest, Negative) {
const struct {
gfx::Vector3dF expected;
gfx::Vector3dF actual;
} float_tests[] = {
{ gfx::Vector3dF(-0.0f, -0.0f, -0.0f), -gfx::Vector3dF(0, 0, 0) },
{ gfx::Vector3dF(-0.3f, -0.3f, -0.3f), -gfx::Vector3dF(0.3f, 0.3f, 0.3f) },
{ gfx::Vector3dF(0.3f, 0.3f, 0.3f), -gfx::Vector3dF(-0.3f, -0.3f, -0.3f) },
{ gfx::Vector3dF(-0.3f, 0.3f, -0.3f), -gfx::Vector3dF(0.3f, -0.3f, 0.3f) },
{ gfx::Vector3dF(0.3f, -0.3f, -0.3f), -gfx::Vector3dF(-0.3f, 0.3f, 0.3f) },
{ gfx::Vector3dF(-0.3f, -0.3f, 0.3f), -gfx::Vector3dF(0.3f, 0.3f, -0.3f) }
};
for (size_t i = 0; i < base::size(float_tests); ++i)
EXPECT_EQ(float_tests[i].expected.ToString(),
float_tests[i].actual.ToString());
}
TEST(Vector3dTest, Scale) {
float triple_values[][6] = {
{ 4.5f, 1.2f, 1.8f, 3.3f, 5.6f, 4.2f },
{ 4.5f, -1.2f, -1.8f, 3.3f, 5.6f, 4.2f },
{ 4.5f, 1.2f, -1.8f, 3.3f, 5.6f, 4.2f },
{ 4.5f, -1.2f -1.8f, 3.3f, 5.6f, 4.2f },
{ 4.5f, 1.2f, 1.8f, 3.3f, -5.6f, -4.2f },
{ 4.5f, 1.2f, 1.8f, -3.3f, -5.6f, -4.2f },
{ 4.5f, 1.2f, -1.8f, 3.3f, -5.6f, -4.2f },
{ 4.5f, 1.2f, -1.8f, -3.3f, -5.6f, -4.2f },
{ -4.5f, 1.2f, 1.8f, 3.3f, 5.6f, 4.2f },
{ -4.5f, 1.2f, 1.8f, 0, 5.6f, 4.2f },
{ -4.5f, 1.2f, -1.8f, 3.3f, 5.6f, 4.2f },
{ -4.5f, 1.2f, -1.8f, 0, 5.6f, 4.2f },
{ -4.5f, 1.2f, 1.8f, 3.3f, 0, 4.2f },
{ 4.5f, 0, 1.8f, 3.3f, 5.6f, 4.2f },
{ -4.5f, 1.2f, -1.8f, 3.3f, 0, 4.2f },
{ 4.5f, 0, -1.8f, 3.3f, 5.6f, 4.2f },
{ -4.5f, 1.2f, 1.8f, 3.3f, 5.6f, 0 },
{ -4.5f, 1.2f, -1.8f, 3.3f, 5.6f, 0 },
{ 0, 1.2f, 0, 3.3f, 5.6f, 4.2f },
{ 0, 1.2f, 1.8f, 3.3f, 5.6f, 4.2f }
};
for (size_t i = 0; i < base::size(triple_values); ++i) {
gfx::Vector3dF v(triple_values[i][0],
triple_values[i][1],
triple_values[i][2]);
v.Scale(triple_values[i][3], triple_values[i][4], triple_values[i][5]);
EXPECT_EQ(triple_values[i][0] * triple_values[i][3], v.x());
EXPECT_EQ(triple_values[i][1] * triple_values[i][4], v.y());
EXPECT_EQ(triple_values[i][2] * triple_values[i][5], v.z());
Vector3dF v2 = ScaleVector3d(
gfx::Vector3dF(triple_values[i][0],
triple_values[i][1],
triple_values[i][2]),
triple_values[i][3], triple_values[i][4], triple_values[i][5]);
EXPECT_EQ(triple_values[i][0] * triple_values[i][3], v2.x());
EXPECT_EQ(triple_values[i][1] * triple_values[i][4], v2.y());
EXPECT_EQ(triple_values[i][2] * triple_values[i][5], v2.z());
}
float single_values[][4] = {
{ 4.5f, 1.2f, 1.8f, 3.3f },
{ 4.5f, -1.2f, 1.8f, 3.3f },
{ 4.5f, 1.2f, -1.8f, 3.3f },
{ 4.5f, -1.2f, -1.8f, 3.3f },
{ -4.5f, 1.2f, 3.3f },
{ -4.5f, 1.2f, 0 },
{ -4.5f, 1.2f, 1.8f, 3.3f },
{ -4.5f, 1.2f, 1.8f, 0 },
{ 4.5f, 0, 1.8f, 3.3f },
{ 0, 1.2f, 1.8f, 3.3f },
{ 4.5f, 0, 1.8f, 3.3f },
{ 0, 1.2f, 1.8f, 3.3f },
{ 4.5f, 1.2f, 0, 3.3f },
{ 4.5f, 1.2f, 0, 3.3f }
};
for (size_t i = 0; i < base::size(single_values); ++i) {
gfx::Vector3dF v(single_values[i][0],
single_values[i][1],
single_values[i][2]);
v.Scale(single_values[i][3]);
EXPECT_EQ(single_values[i][0] * single_values[i][3], v.x());
EXPECT_EQ(single_values[i][1] * single_values[i][3], v.y());
EXPECT_EQ(single_values[i][2] * single_values[i][3], v.z());
Vector3dF v2 = ScaleVector3d(
gfx::Vector3dF(single_values[i][0],
single_values[i][1],
single_values[i][2]),
single_values[i][3]);
EXPECT_EQ(single_values[i][0] * single_values[i][3], v2.x());
EXPECT_EQ(single_values[i][1] * single_values[i][3], v2.y());
EXPECT_EQ(single_values[i][2] * single_values[i][3], v2.z());
}
}
TEST(Vector3dTest, Length) {
float float_values[][3] = {
{ 0, 0, 0 },
{ 10.5f, 20.5f, 8.5f },
{ 20.5f, 10.5f, 8.5f },
{ 8.5f, 20.5f, 10.5f },
{ 10.5f, 8.5f, 20.5f },
{ -10.5f, -20.5f, -8.5f },
{ -20.5f, 10.5f, -8.5f },
{ -8.5f, -20.5f, -10.5f },
{ -10.5f, -8.5f, -20.5f },
{ 10.5f, -20.5f, 8.5f },
{ -10.5f, 20.5f, 8.5f },
{ 10.5f, -20.5f, -8.5f },
{ -10.5f, 20.5f, -8.5f },
// A large vector that fails if the Length function doesn't use
// double precision internally.
{ 1236278317862780234892374893213178027.12122348904204230f,
335890352589839028212313231225425134332.38123f,
27861786423846742743236423478236784678.236713617231f }
};
for (size_t i = 0; i < base::size(float_values); ++i) {
double v0 = float_values[i][0];
double v1 = float_values[i][1];
double v2 = float_values[i][2];
double length_squared =
static_cast<double>(v0) * v0 +
static_cast<double>(v1) * v1 +
static_cast<double>(v2) * v2;
double length = std::sqrt(length_squared);
gfx::Vector3dF vector(v0, v1, v2);
EXPECT_DOUBLE_EQ(length_squared, vector.LengthSquared());
EXPECT_FLOAT_EQ(static_cast<float>(length), vector.Length());
}
}
TEST(Vector3dTest, DotProduct) {
const struct {
float expected;
gfx::Vector3dF input1;
gfx::Vector3dF input2;
} tests[] = {
{ 0, gfx::Vector3dF(1, 0, 0), gfx::Vector3dF(0, 1, 1) },
{ 0, gfx::Vector3dF(0, 1, 0), gfx::Vector3dF(1, 0, 1) },
{ 0, gfx::Vector3dF(0, 0, 1), gfx::Vector3dF(1, 1, 0) },
{ 3, gfx::Vector3dF(1, 1, 1), gfx::Vector3dF(1, 1, 1) },
{ 1.2f, gfx::Vector3dF(1.2f, -1.2f, 1.2f), gfx::Vector3dF(1, 1, 1) },
{ 1.2f, gfx::Vector3dF(1, 1, 1), gfx::Vector3dF(1.2f, -1.2f, 1.2f) },
{ 38.72f,
gfx::Vector3dF(1.1f, 2.2f, 3.3f), gfx::Vector3dF(4.4f, 5.5f, 6.6f) }
};
for (size_t i = 0; i < base::size(tests); ++i) {
float actual = gfx::DotProduct(tests[i].input1, tests[i].input2);
EXPECT_EQ(tests[i].expected, actual);
}
}
TEST(Vector3dTest, CrossProduct) {
const struct {
gfx::Vector3dF expected;
gfx::Vector3dF input1;
gfx::Vector3dF input2;
} tests[] = {
{ Vector3dF(), Vector3dF(), Vector3dF(1, 1, 1) },
{ Vector3dF(), Vector3dF(1, 1, 1), Vector3dF() },
{ Vector3dF(), Vector3dF(1, 1, 1), Vector3dF(1, 1, 1) },
{ Vector3dF(),
Vector3dF(1.6f, 10.6f, -10.6f),
Vector3dF(1.6f, 10.6f, -10.6f) },
{ Vector3dF(1, -1, 0), Vector3dF(1, 1, 1), Vector3dF(0, 0, 1) },
{ Vector3dF(-1, 0, 1), Vector3dF(1, 1, 1), Vector3dF(0, 1, 0) },
{ Vector3dF(0, 1, -1), Vector3dF(1, 1, 1), Vector3dF(1, 0, 0) },
{ Vector3dF(-1, 1, 0), Vector3dF(0, 0, 1), Vector3dF(1, 1, 1) },
{ Vector3dF(1, 0, -1), Vector3dF(0, 1, 0), Vector3dF(1, 1, 1) },
{ Vector3dF(0, -1, 1), Vector3dF(1, 0, 0), Vector3dF(1, 1, 1) }
};
for (size_t i = 0; i < base::size(tests); ++i) {
SCOPED_TRACE(i);
Vector3dF actual = gfx::CrossProduct(tests[i].input1, tests[i].input2);
EXPECT_EQ(tests[i].expected.ToString(), actual.ToString());
}
}
TEST(Vector3dFTest, ClampVector3dF) {
Vector3dF a;
a = Vector3dF(3.5f, 5.5f, 7.5f);
EXPECT_EQ(Vector3dF(3.5f, 5.5f, 7.5f).ToString(), a.ToString());
a.SetToMax(Vector3dF(2, 4.5f, 6.5f));
EXPECT_EQ(Vector3dF(3.5f, 5.5f, 7.5f).ToString(), a.ToString());
a.SetToMax(Vector3dF(3.5f, 5.5f, 7.5f));
EXPECT_EQ(Vector3dF(3.5f, 5.5f, 7.5f).ToString(), a.ToString());
a.SetToMax(Vector3dF(4.5f, 2, 6.5f));
EXPECT_EQ(Vector3dF(4.5f, 5.5f, 7.5f).ToString(), a.ToString());
a.SetToMax(Vector3dF(3.5f, 6.5f, 6.5f));
EXPECT_EQ(Vector3dF(4.5f, 6.5f, 7.5f).ToString(), a.ToString());
a.SetToMax(Vector3dF(3.5f, 5.5f, 8.5f));
EXPECT_EQ(Vector3dF(4.5f, 6.5f, 8.5f).ToString(), a.ToString());
a.SetToMax(Vector3dF(8.5f, 10.5f, 12.5f));
EXPECT_EQ(Vector3dF(8.5f, 10.5f, 12.5f).ToString(), a.ToString());
a.SetToMin(Vector3dF(9.5f, 11.5f, 13.5f));
EXPECT_EQ(Vector3dF(8.5f, 10.5f, 12.5f).ToString(), a.ToString());
a.SetToMin(Vector3dF(8.5f, 10.5f, 12.5f));
EXPECT_EQ(Vector3dF(8.5f, 10.5f, 12.5f).ToString(), a.ToString());
a.SetToMin(Vector3dF(7.5f, 11.5f, 13.5f));
EXPECT_EQ(Vector3dF(7.5f, 10.5f, 12.5f).ToString(), a.ToString());
a.SetToMin(Vector3dF(9.5f, 9.5f, 13.5f));
EXPECT_EQ(Vector3dF(7.5f, 9.5f, 12.5f).ToString(), a.ToString());
a.SetToMin(Vector3dF(9.5f, 11.5f, 11.5f));
EXPECT_EQ(Vector3dF(7.5f, 9.5f, 11.5f).ToString(), a.ToString());
a.SetToMin(Vector3dF(3.5f, 5.5f, 7.5f));
EXPECT_EQ(Vector3dF(3.5f, 5.5f, 7.5f).ToString(), a.ToString());
}
TEST(Vector3dTest, AngleBetweenVectorsInDegress) {
const struct {
float expected;
gfx::Vector3dF input1;
gfx::Vector3dF input2;
} tests[] = {{0, gfx::Vector3dF(0, 1, 0), gfx::Vector3dF(0, 1, 0)},
{90, gfx::Vector3dF(0, 1, 0), gfx::Vector3dF(0, 0, 1)},
{45, gfx::Vector3dF(0, 1, 0),
gfx::Vector3dF(0, 0.70710678188f, 0.70710678188f)},
{180, gfx::Vector3dF(0, 1, 0), gfx::Vector3dF(0, -1, 0)},
// Two vectors that are sufficiently close enough together to
// trigger an issue that produces NANs if the value passed to
// acos is not clamped due to floating point precision.
{0, gfx::Vector3dF(0, -0.990842f, -0.003177f),
gfx::Vector3dF(0, -0.999995f, -0.003124f)}};
for (size_t i = 0; i < base::size(tests); ++i) {
float actual =
gfx::AngleBetweenVectorsInDegrees(tests[i].input1, tests[i].input2);
EXPECT_FLOAT_EQ(tests[i].expected, actual);
actual =
gfx::AngleBetweenVectorsInDegrees(tests[i].input2, tests[i].input1);
EXPECT_FLOAT_EQ(tests[i].expected, actual);
}
}
TEST(Vector3dTest, ClockwiseAngleBetweenVectorsInDegress) {
const struct {
float expected;
gfx::Vector3dF input1;
gfx::Vector3dF input2;
} tests[] = {
{0, gfx::Vector3dF(0, 1, 0), gfx::Vector3dF(0, 1, 0)},
{90, gfx::Vector3dF(0, 1, 0), gfx::Vector3dF(0, 0, -1)},
{45,
gfx::Vector3dF(0, -1, 0),
gfx::Vector3dF(0, -0.70710678188f, 0.70710678188f)},
{180, gfx::Vector3dF(0, -1, 0), gfx::Vector3dF(0, 1, 0)},
{270, gfx::Vector3dF(0, 1, 0), gfx::Vector3dF(0, 0, 1)},
};
const gfx::Vector3dF normal_vector(1.0f, 0.0f, 0.0f);
for (size_t i = 0; i < base::size(tests); ++i) {
float actual = gfx::ClockwiseAngleBetweenVectorsInDegrees(
tests[i].input1, tests[i].input2, normal_vector);
EXPECT_FLOAT_EQ(tests[i].expected, actual);
actual = -gfx::ClockwiseAngleBetweenVectorsInDegrees(
tests[i].input2, tests[i].input1, normal_vector);
if (actual < 0.0f)
actual += 360.0f;
EXPECT_FLOAT_EQ(tests[i].expected, actual);
}
}
TEST(Vector3dTest, GetNormalized) {
const struct {
bool expected;
gfx::Vector3dF v;
gfx::Vector3dF normalized;
} tests[] = {
{false, gfx::Vector3dF(0, 0, 0), gfx::Vector3dF(0, 0, 0)},
{false,
gfx::Vector3dF(std::numeric_limits<float>::min(),
std::numeric_limits<float>::min(),
std::numeric_limits<float>::min()),
gfx::Vector3dF(std::numeric_limits<float>::min(),
std::numeric_limits<float>::min(),
std::numeric_limits<float>::min())},
{true, gfx::Vector3dF(1, 0, 0), gfx::Vector3dF(1, 0, 0)},
{true, gfx::Vector3dF(std::numeric_limits<float>::max(), 0, 0),
gfx::Vector3dF(1, 0, 0)},
};
for (size_t i = 0; i < base::size(tests); ++i) {
gfx::Vector3dF n;
EXPECT_EQ(tests[i].expected, tests[i].v.GetNormalized(&n));
EXPECT_EQ(tests[i].normalized.ToString(), n.ToString());
}
}
} // namespace gfx