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/* Copyright (C) 2020 Wildfire Games.
* This file is part of 0 A.D.
*
* 0 A.D. is free software: you can redistribute it and/or modify
* it under the terms of the GNU General Public License as published by
* the Free Software Foundation, either version 2 of the License, or
* (at your option) any later version.
*
* 0 A.D. is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
* GNU General Public License for more details.
*
* You should have received a copy of the GNU General Public License
* along with 0 A.D. If not, see <http://www.gnu.org/licenses/>.
*/
#include "lib/self_test.h"
#include "maths/FixedVector2D.h"
#define TS_ASSERT_VEC_EQUALS(v, x, y) \
TS_ASSERT_EQUALS(v.X.ToDouble(), x); \
TS_ASSERT_EQUALS(v.Y.ToDouble(), y);
#define TS_ASSERT_VEC_DELTA(v, x, y, delta) \
TS_ASSERT_DELTA(v.X.ToDouble(), x, delta); \
TS_ASSERT_DELTA(v.Y.ToDouble(), y, delta);
class TestFixedVector2D : public CxxTest::TestSuite
{
public:
void test_basic()
{
CFixedVector2D v1 (fixed::FromInt(1), fixed::FromInt(2));
CFixedVector2D v2 (fixed::FromInt(10), fixed::FromInt(20));
CFixedVector2D v3;
TS_ASSERT_VEC_EQUALS(v1, 1, 2);
TS_ASSERT_VEC_EQUALS(v2, 10, 20);
TS_ASSERT_VEC_EQUALS(v3, 0, 0);
v3 = v1 + v2;
TS_ASSERT_VEC_EQUALS(v3, 11, 22);
v3 += v2;
TS_ASSERT_VEC_EQUALS(v3, 21, 42);
v3 -= v2;
TS_ASSERT_VEC_EQUALS(v3, 11, 22);
v3 = v1 - v2;
TS_ASSERT_VEC_EQUALS(v3, -9, -18);
v3 = -v3;
TS_ASSERT_VEC_EQUALS(v3, 9, 18);
}
void test_Length()
{
CFixedVector2D v1 (fixed::FromInt(3), fixed::FromInt(4));
TS_ASSERT_EQUALS(v1.Length().ToDouble(), 5.0);
fixed max;
max.SetInternalValue((i32)0x7fffffff);
CFixedVector2D v2 (max, fixed::FromInt(0));
TS_ASSERT_EQUALS(v2.Length().ToDouble(), max.ToDouble());
fixed large;
large.SetInternalValue((i32)((double)0x7fffffff/sqrt(2.0))); // largest value that shouldn't cause overflow
CFixedVector2D v3 (large, large);
TS_ASSERT_DELTA(v3.Length().ToDouble(), sqrt(2.0)*large.ToDouble(), 0.01);
}
void test_CompareLength()
{
CFixedVector2D v1(fixed::FromInt(3), fixed::FromInt(4));
TS_ASSERT_EQUALS(v1.CompareLength(fixed::FromInt(4)), 1);
TS_ASSERT_EQUALS(v1.CompareLength(fixed::FromInt(5)), 0);
TS_ASSERT_EQUALS(v1.CompareLength(fixed::FromInt(6)), -1);
CFixedVector2D v2(fixed::FromInt(2), fixed::FromInt(3));
CFixedVector2D v3(fixed::FromInt(4), fixed::FromInt(5));
TS_ASSERT_EQUALS(v1.CompareLength(v2), 1);
TS_ASSERT_EQUALS(v1.CompareLength(v1), 0);
TS_ASSERT_EQUALS(v1.CompareLength(v3), -1);
TS_ASSERT_EQUALS(v1.CompareLengthSquared(SQUARE_U64_FIXED(fixed::FromDouble(4.00))), 1);
TS_ASSERT_EQUALS(v1.CompareLengthSquared(SQUARE_U64_FIXED(fixed::FromDouble(4.99))), 1);
TS_ASSERT_EQUALS(v1.CompareLengthSquared(SQUARE_U64_FIXED(fixed::FromDouble(5.00))), 0);
TS_ASSERT_EQUALS(v1.CompareLengthSquared(SQUARE_U64_FIXED(fixed::FromDouble(5.01))), -1);
TS_ASSERT_EQUALS(v1.CompareLengthSquared(SQUARE_U64_FIXED(fixed::FromDouble(6.00))), -1);
}
void test_Normalize()
{
CFixedVector2D v0 (fixed::FromInt(0), fixed::FromInt(0));
v0.Normalize();
TS_ASSERT_VEC_EQUALS(v0, 0.0, 0.0);
CFixedVector2D v1 (fixed::FromInt(3), fixed::FromInt(4));
v1.Normalize();
TS_ASSERT_VEC_DELTA(v1, 3.0/5.0, 4.0/5.0, 0.01);
fixed max;
max.SetInternalValue((i32)0x7fffffff);
CFixedVector2D v2 (max, fixed::FromInt(0));
v2.Normalize();
TS_ASSERT_VEC_EQUALS(v2, 1.0, 0.0);
fixed large;
large.SetInternalValue((i32)((double)0x7fffffff/sqrt(2.0))); // largest value that shouldn't cause overflow
CFixedVector2D v3 (large, large);
v3.Normalize();
TS_ASSERT_VEC_DELTA(v3, 1.0/sqrt(2.0), 1.0/sqrt(2.0), 0.01);
}
void test_NormalizeTo()
{
{
CFixedVector2D v (fixed::FromInt(0), fixed::FromInt(0));
v.Normalize(fixed::FromInt(1));
TS_ASSERT_VEC_EQUALS(v, 0.0, 0.0);
}
{
CFixedVector2D v (fixed::FromInt(3), fixed::FromInt(4));
v.Normalize(fixed::FromInt(0));
TS_ASSERT_VEC_EQUALS(v, 0.0, 0.0);
}
{
CFixedVector2D v (fixed::FromInt(3), fixed::FromInt(4));
v.Normalize(fixed::FromInt(1));
TS_ASSERT_VEC_DELTA(v, 3.0/5.0, 4.0/5.0, 0.01);
}
{
CFixedVector2D v (fixed::FromInt(3000), fixed::FromInt(4000));
v.Normalize(fixed::FromInt(1));
TS_ASSERT_VEC_DELTA(v, 3.0/5.0, 4.0/5.0, 0.01);
}
{
CFixedVector2D v (fixed::FromInt(3), fixed::FromInt(4));
v.Normalize(fixed::FromInt(100));
TS_ASSERT_VEC_DELTA(v, 300.0/5.0, 400.0/5.0, 0.02);
}
{
CFixedVector2D v (fixed::FromInt(3), fixed::FromInt(4));
v.Normalize(fixed::FromInt(1)/100);
TS_ASSERT_VEC_DELTA(v, 3.0/500.0, 4.0/500.0, 0.0001);
}
{
CFixedVector2D v (fixed::FromInt(3), fixed::FromInt(4));
v.Normalize(fixed::FromInt(1)/10000);
TS_ASSERT_VEC_DELTA(v, 3.0/50000.0, 4.0/50000.0, 0.0001);
}
}
void test_Dot()
{
CFixedVector2D v1 (fixed::FromInt(5), fixed::FromInt(6));
CFixedVector2D v2 (fixed::FromInt(8), fixed::FromInt(-9));
TS_ASSERT_EQUALS(v1.Dot(v2).ToDouble(), 5*8 + 6*-9);
}
};
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