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// Copyright 2016 The Draco Authors.
//
// Licensed under the Apache License, Version 2.0 (the "License");
// you may not use this file except in compliance with the License.
// You may obtain a copy of the License at
//
// http://www.apache.org/licenses/LICENSE-2.0
//
// Unless required by applicable law or agreed to in writing, software
// distributed under the License is distributed on an "AS IS" BASIS,
// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
// See the License for the specific language governing permissions and
// limitations under the License.
//
#include "draco/core/vector_d.h"
#include <sstream>
#include "draco/core/draco_test_base.h"
namespace {
typedef draco::Vector2f Vector2f;
typedef draco::Vector3f Vector3f;
typedef draco::Vector4f Vector4f;
typedef draco::Vector5f Vector5f;
typedef draco::Vector2ui Vector2ui;
typedef draco::Vector3ui Vector3ui;
typedef draco::Vector4ui Vector4ui;
typedef draco::Vector5ui Vector5ui;
typedef draco::VectorD<int32_t, 3> Vector3i;
typedef draco::VectorD<int32_t, 4> Vector4i;
class VectorDTest : public ::testing::Test {
protected:
template <class CoeffT, int dimension_t>
void TestSquaredDistance(const draco::VectorD<CoeffT, dimension_t> v1,
const draco::VectorD<CoeffT, dimension_t> v2,
const CoeffT result) {
CoeffT squared_distance = SquaredDistance(v1, v2);
ASSERT_EQ(squared_distance, result);
squared_distance = SquaredDistance(v2, v1);
ASSERT_EQ(squared_distance, result);
}
};
TEST_F(VectorDTest, TestOperators) {
{
const Vector3f v;
ASSERT_EQ(v[0], 0);
ASSERT_EQ(v[1], 0);
ASSERT_EQ(v[2], 0);
}
Vector3f v(1, 2, 3);
ASSERT_EQ(v[0], 1);
ASSERT_EQ(v[1], 2);
ASSERT_EQ(v[2], 3);
Vector3f w = v;
bool comp = (v == w);
ASSERT_TRUE(comp);
comp = (v != w);
ASSERT_TRUE(!comp);
ASSERT_EQ(w[0], 1);
ASSERT_EQ(w[1], 2);
ASSERT_EQ(w[2], 3);
w = -v;
ASSERT_EQ(w[0], -1);
ASSERT_EQ(w[1], -2);
ASSERT_EQ(w[2], -3);
w = v + v;
ASSERT_EQ(w[0], 2);
ASSERT_EQ(w[1], 4);
ASSERT_EQ(w[2], 6);
w = w - v;
ASSERT_EQ(w[0], 1);
ASSERT_EQ(w[1], 2);
ASSERT_EQ(w[2], 3);
w = v * 2.f;
ASSERT_EQ(w[0], 2);
ASSERT_EQ(w[1], 4);
ASSERT_EQ(w[2], 6);
ASSERT_EQ(v.SquaredNorm(), 14);
ASSERT_EQ(v.Dot(v), 14);
Vector3f new_v = v;
new_v.Normalize();
const float eps = 0.001;
const float magnitude = std::sqrt(v.SquaredNorm());
const float new_magnitude = std::sqrt(new_v.SquaredNorm());
ASSERT_LE(new_magnitude, 1 + eps);
ASSERT_GE(new_magnitude, 1 - eps);
for (int i = 0; i < 3; ++i) {
new_v[i] *= magnitude;
ASSERT_LE(new_v[i], v[i] + eps);
ASSERT_GE(new_v[i], v[i] - eps);
}
Vector3f x(0, 0, 0);
x.Normalize();
for (int i = 0; i < 3; ++i) {
ASSERT_EQ(0, x[i]);
}
}
TEST_F(VectorDTest, TestSquaredDistance) {
// Test Vector2f: float, 2D.
Vector2f v1_2f(5.5, 10.5);
Vector2f v2_2f(3.5, 15.5);
float result_f = 29;
TestSquaredDistance(v1_2f, v2_2f, result_f);
// Test Vector3f: float, 3D.
Vector3f v1_3f(5.5, 10.5, 2.3);
Vector3f v2_3f(3.5, 15.5, 0);
result_f = 34.29;
TestSquaredDistance(v1_3f, v2_3f, result_f);
// Test Vector4f: float, 4D.
Vector4f v1_4f(5.5, 10.5, 2.3, 7.2);
Vector4f v2_4f(3.5, 15.5, 0, 9.9);
result_f = 41.58;
TestSquaredDistance(v1_4f, v2_4f, result_f);
// Test Vector5f: float, 5D.
Vector5f v1_5f(5.5, 10.5, 2.3, 7.2, 1.0);
Vector5f v2_5f(3.5, 15.5, 0, 9.9, 0.2);
result_f = 42.22;
TestSquaredDistance(v1_5f, v2_5f, result_f);
// Test Vector 2ui: uint32_t, 2D.
Vector2ui v1_2ui(5, 10);
Vector2ui v2_2ui(3, 15);
uint32_t result_ui = 29;
TestSquaredDistance(v1_2ui, v2_2ui, result_ui);
// Test Vector 3ui: uint32_t, 3D.
Vector3ui v1_3ui(5, 10, 2);
Vector3ui v2_3ui(3, 15, 0);
result_ui = 33;
TestSquaredDistance(v1_3ui, v2_3ui, result_ui);
// Test Vector 4ui: uint32_t, 4D.
Vector4ui v1_4ui(5, 10, 2, 7);
Vector4ui v2_4ui(3, 15, 0, 9);
result_ui = 37;
TestSquaredDistance(v1_4ui, v2_4ui, result_ui);
// Test Vector 5ui: uint32_t, 5D.
Vector5ui v1_5ui(5, 10, 2, 7, 1);
Vector5ui v2_5ui(3, 15, 0, 9, 12);
result_ui = 158;
TestSquaredDistance(v1_5ui, v2_5ui, result_ui);
}
TEST_F(VectorDTest, TestCrossProduct3D) {
const Vector3i e1(1, 0, 0);
const Vector3i e2(0, 1, 0);
const Vector3i e3(0, 0, 1);
const Vector3i o(0, 0, 0);
ASSERT_EQ(e3, draco::CrossProduct(e1, e2));
ASSERT_EQ(e1, draco::CrossProduct(e2, e3));
ASSERT_EQ(e2, draco::CrossProduct(e3, e1));
ASSERT_EQ(-e3, draco::CrossProduct(e2, e1));
ASSERT_EQ(-e1, draco::CrossProduct(e3, e2));
ASSERT_EQ(-e2, draco::CrossProduct(e1, e3));
ASSERT_EQ(o, draco::CrossProduct(e1, e1));
ASSERT_EQ(o, draco::CrossProduct(e2, e2));
ASSERT_EQ(o, draco::CrossProduct(e3, e3));
// Orthogonality of result for some general vectors.
const Vector3i v1(123, -62, 223);
const Vector3i v2(734, 244, -13);
const Vector3i orth = draco::CrossProduct(v1, v2);
ASSERT_EQ(0, v1.Dot(orth));
ASSERT_EQ(0, v2.Dot(orth));
}
TEST_F(VectorDTest, TestAbsSum) {
// Testing const of function and zero.
const Vector3i v(0, 0, 0);
ASSERT_EQ(v.AbsSum(), 0);
// Testing semantic.
ASSERT_EQ(Vector3i(0, 0, 0).AbsSum(), 0);
ASSERT_EQ(Vector3i(1, 2, 3).AbsSum(), 6);
ASSERT_EQ(Vector3i(-1, -2, -3).AbsSum(), 6);
ASSERT_EQ(Vector3i(-2, 4, -8).AbsSum(), 14);
// Other dimension.
ASSERT_EQ(Vector4i(-2, 4, -8, 3).AbsSum(), 17);
}
TEST_F(VectorDTest, TestOstream) {
// Tests that the vector can be stored in a provided std::ostream.
const draco::VectorD<int64_t, 3> vector(1, 2, 3);
std::stringstream str;
str << vector << " ";
ASSERT_EQ(str.str(), "1 2 3 ");
}
} // namespace
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