source/maths/tests/test_FixedVector3D.h

   1 /* Copyright (C) 2010 Wildfire Games.
   2  * This file is part of 0 A.D.
   3  *
   4  * 0 A.D. is free software: you can redistribute it and/or modify
   5  * it under the terms of the GNU General Public License as published by
   6  * the Free Software Foundation, either version 2 of the License, or
   7  * (at your option) any later version.
   8  *
   9  * 0 A.D. is distributed in the hope that it will be useful,
  10  * but WITHOUT ANY WARRANTY; without even the implied warranty of
  11  * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
  12  * GNU General Public License for more details.
  13  *
  14  * You should have received a copy of the GNU General Public License
  15  * along with 0 A.D.  If not, see <http://www.gnu.org/licenses/>.
  16  */
  17
  18 #include "lib/self_test.h"
  19
  20 #include "maths/FixedVector3D.h"
  21
  22 #define TS_ASSERT_VEC_EQUALS(v, x, y, z) \
  23         TS_ASSERT_EQUALS(v.X.ToDouble(), x); \
  24         TS_ASSERT_EQUALS(v.Y.ToDouble(), y); \
  25         TS_ASSERT_EQUALS(v.Z.ToDouble(), z);
  26
  27 #define TS_ASSERT_VEC_DELTA(v, x, y, z, delta) \
  28         TS_ASSERT_DELTA(v.X.ToDouble(), x, delta); \
  29         TS_ASSERT_DELTA(v.Y.ToDouble(), y, delta); \
  30         TS_ASSERT_DELTA(v.Z.ToDouble(), z, delta);
  31
  32 class TestFixedVector3D : public CxxTest::TestSuite
  33 {
  34 public:
  35         void test_basic()
  36         {
  37                 CFixedVector3D v1 (fixed::FromInt(1), fixed::FromInt(2), fixed::FromInt(3));
  38                 CFixedVector3D v2 (fixed::FromInt(10), fixed::FromInt(20), fixed::FromInt(30));
  39                 CFixedVector3D v3;
  40                 TS_ASSERT_VEC_EQUALS(v1, 1, 2, 3);
  41                 TS_ASSERT_VEC_EQUALS(v2, 10, 20, 30);
  42                 TS_ASSERT_VEC_EQUALS(v3, 0, 0, 0);
  43                 v3 = v1 + v2;
  44                 TS_ASSERT_VEC_EQUALS(v3, 11, 22, 33);
  45                 v3 += v2;
  46                 TS_ASSERT_VEC_EQUALS(v3, 21, 42, 63);
  47                 v3 -= v2;
  48                 TS_ASSERT_VEC_EQUALS(v3, 11, 22, 33);
  49                 v3 = v1 - v2;
  50                 TS_ASSERT_VEC_EQUALS(v3, -9, -18, -27);
  51                 v3 = -v3;
  52                 TS_ASSERT_VEC_EQUALS(v3, 9, 18, 27);
  53         }
  54
  55         void test_Length()
  56         {
  57                 CFixedVector3D v1 (fixed::FromInt(3), fixed::FromInt(4), fixed::FromInt(12));
  58                 TS_ASSERT_EQUALS(v1.Length().ToDouble(), 13.0);
  59
  60                 fixed max;
  61                 max.SetInternalValue((i32)0x7fffffff);
  62                 CFixedVector3D v2 (max, fixed::FromInt(0), fixed::FromInt(0));
  63                 TS_ASSERT_EQUALS(v2.Length().ToDouble(), max.ToDouble());
  64
  65                 fixed large;
  66                 large.SetInternalValue((i32)((double)0x7fffffff/sqrt(3.0))+1); // largest value that shouldn't cause overflow
  67                 CFixedVector3D v3 (large, large, large);
  68                 TS_ASSERT_DELTA(v3.Length().ToDouble(), sqrt(3.0)*large.ToDouble(), 0.01);
  69         }
  70
  71         void test_Normalize()
  72         {
  73                 CFixedVector3D v0 (fixed::FromInt(0), fixed::FromInt(0), fixed::FromInt(0));
  74                 v0.Normalize();
  75                 TS_ASSERT_VEC_EQUALS(v0, 0.0, 0.0, 0.0);
  76
  77                 CFixedVector3D v1 (fixed::FromInt(3), fixed::FromInt(4), fixed::FromInt(12));
  78                 v1.Normalize();
  79                 TS_ASSERT_VEC_DELTA(v1, 3.0/13.0, 4.0/13.0, 12.0/13.0, 0.01);
  80
  81                 fixed max;
  82                 max.SetInternalValue((i32)0x7fffffff);
  83                 CFixedVector3D v2 (max, fixed::FromInt(0), fixed::FromInt(0));
  84                 v2.Normalize();
  85                 TS_ASSERT_VEC_EQUALS(v2, 1.0, 0.0, 0.0);
  86
  87                 fixed large;
  88                 large.SetInternalValue((i32)((double)0x7fffffff/sqrt(3.0))+1); // largest value that shouldn't cause overflow
  89                 CFixedVector3D v3 (large, large, large);
  90                 v3.Normalize();
  91                 TS_ASSERT_VEC_DELTA(v3, 1.0/sqrt(3.0), 1.0/sqrt(3.0), 1.0/sqrt(3.0), 0.01);
  92         }
  93
  94         void test_NormalizeTo()
  95         {
  96                 {
  97                         CFixedVector3D v (fixed::FromInt(0), fixed::FromInt(0), fixed::FromInt(0));
  98                         v.Normalize(fixed::FromInt(1));
  99                         TS_ASSERT_VEC_EQUALS(v, 0.0, 0.0, 0.0);
 100                 }
 101
 102                 {
 103                         CFixedVector3D v (fixed::FromInt(3), fixed::FromInt(4), fixed::FromInt(12));
 104                         v.Normalize(fixed::FromInt(0));
 105                         TS_ASSERT_VEC_EQUALS(v, 0.0, 0.0, 0.0);
 106                 }
 107
 108                 {
 109                         CFixedVector3D v (fixed::FromInt(3), fixed::FromInt(4), fixed::FromInt(12));
 110                         v.Normalize(fixed::FromInt(1));
 111                         TS_ASSERT_VEC_DELTA(v, 3.0/13.0, 4.0/13.0, 12.0/13.0, 0.01);
 112                 }
 113
 114                 {
 115                         CFixedVector3D v (fixed::FromInt(3000), fixed::FromInt(4000), fixed::FromInt(12000));
 116                         v.Normalize(fixed::FromInt(1));
 117                         TS_ASSERT_VEC_DELTA(v, 3.0/13.0, 4.0/13.0, 12.0/13.0, 0.01);
 118                 }
 119
 120                 {
 121                         CFixedVector3D v (fixed::FromInt(3), fixed::FromInt(4), fixed::FromInt(12));
 122                         v.Normalize(fixed::FromInt(100));
 123                         TS_ASSERT_VEC_DELTA(v, 300.0/13.0, 400.0/13.0, 1200.0/13.0, 0.01);
 124                 }
 125
 126                 {
 127                         CFixedVector3D v (fixed::FromInt(3), fixed::FromInt(4), fixed::FromInt(12));
 128                         v.Normalize(fixed::FromInt(1)/100);
 129                         TS_ASSERT_VEC_DELTA(v, 3.0/1300.0, 4.0/1300.0, 12.0/1300.0, 0.0001);
 130                 }
 131
 132                 {
 133                         CFixedVector3D v (fixed::FromInt(3), fixed::FromInt(4), fixed::FromInt(12));
 134                         v.Normalize(fixed::FromInt(1)/10000);
 135                         TS_ASSERT_VEC_DELTA(v, 3.0/130000.0, 4.0/130000.0, 12.0/130000.0, 0.0001);
 136                 }
 137         }
 138
 139         void test_Cross()
 140         {
 141                 CFixedVector3D v1 (fixed::FromInt(5), fixed::FromInt(6), fixed::FromInt(7));
 142                 CFixedVector3D v2 (fixed::FromInt(8), fixed::FromInt(9), fixed::FromInt(-10));
 143                 CFixedVector3D v3 = v1.Cross(v2);
 144                 TS_ASSERT_VEC_EQUALS(v3, 6*-10 - 7*9, 7*8 - 5*-10, 5*9 - 8*6);
 145         }
 146
 147         void test_Dot()
 148         {
 149                 CFixedVector3D v1 (fixed::FromInt(5), fixed::FromInt(6), fixed::FromInt(7));
 150                 CFixedVector3D v2 (fixed::FromInt(8), fixed::FromInt(9), fixed::FromInt(-10));
 151                 TS_ASSERT_EQUALS(v1.Dot(v2).ToDouble(), 5*8 + 6*9 + 7*-10);
 152         }
 153 };