| // 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/cxx17_backports.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 |
