VectorTests.c 11 KB

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  1. #include <math.h>
  2. #include "../Tests.h"
  3. #include "core/Generic.h"
  4. #include "core/Utility.h"
  5. static const float eps = 0.0001f;
  6. #define V2 Vector2
  7. #define CV2(a, b, c, d) (&(V2){{a, b}})
  8. #define FV2(a, b) CV2(a, b, 0, 0)
  9. #define CV20 CV2(0, 0, 0, 0)
  10. #define V3 Vector3
  11. #define CV3(a, b, c, d) (&(V3){{a, b, c}})
  12. #define FV3(a, b, c) CV3(a, b, c, 0)
  13. #define CV30 CV3(0, 0, 0, 0)
  14. #define V4 Vector4
  15. #define CV4(a, b, c, d) (&(V4){{a, b, c, d}})
  16. #define CV40 CV4(0, 0, 0, 0)
  17. #define IV2 IntVector2
  18. #define CIV2(a, b, c, d) (&(IV2){{a, b}})
  19. #define FIV2(a, b) CIV2(a, b, 0, 0)
  20. #define CIV20 CIV2(0, 0, 0, 0)
  21. #define IV3 IntVector3
  22. #define CIV3(a, b, c, d) (&(IV3){{a, b, c}})
  23. #define FIV3(a, b, c) CIV3(a, b, c, 0)
  24. #define CIV30 CIV3(0, 0, 0, 0)
  25. #define IV4 IntVector4
  26. #define CIV4(a, b, c, d) (&(IV4){{a, b, c, d}})
  27. #define CIV40 CIV4(0, 0, 0, 0)
  28. #define TESTS X(V2) X(V3) X(V4) X(IV2) X(IV3) X(IV4)
  29. #define R45 degreeToRadian(45.0f)
  30. #define R90 degreeToRadian(90.0f)
  31. #define R135 degreeToRadian(135.0f)
  32. #define R180 degreeToRadian(180.0f)
  33. #define R225 degreeToRadian(225.0f)
  34. #define R270 degreeToRadian(270.0f)
  35. #define R315 degreeToRadian(315.0f)
  36. static void testSetAngles() {
  37. float root = sqrtf(2) * 0.5f;
  38. TEST_V3(FV3(1, 0, 0), angles(CV30, 0, 0));
  39. TEST_V3(FV3(root, 0, -root), angles(CV30, R45, 0));
  40. TEST_V3(FV3(0, 0, -1), angles(CV30, R90, 0));
  41. TEST_V3(FV3(-root, 0, -root), angles(CV30, R135, 0));
  42. TEST_V3(FV3(-1, 0, 0), angles(CV30, R180, 0));
  43. TEST_V3(FV3(-root, 0, root), angles(CV30, R225, 0));
  44. TEST_V3(FV3(0, 0, 1), angles(CV30, R270, 0));
  45. TEST_V3(FV3(root, 0, root), angles(CV30, R315, 0));
  46. TEST_V3(FV3(0, 1, 0), angles(CV30, 0, R90));
  47. TEST_V3(FV3(0, 1, 0), angles(CV30, R90, R90));
  48. TEST_V3(FV3(0, 1, 0), angles(CV30, R180, R90));
  49. TEST_V3(FV3(0, 1, 0), angles(CV30, R270, R90));
  50. TEST_V3(FV3(0, -1, 0), angles(CV30, 0, -R90));
  51. TEST_V3(FV3(0, -1, 0), angles(CV30, R90, -R90));
  52. TEST_V3(FV3(0, -1, 0), angles(CV30, R180, -R90));
  53. TEST_V3(FV3(0, -1, 0), angles(CV30, R270, -R90));
  54. TEST_V3(FV3(root, root, 0), angles(CV30, 0, R45));
  55. TEST_V3(FV3(0, root, -root), angles(CV30, R90, R45));
  56. TEST_V3(FV3(-root, root, 0), angles(CV30, R180, R45));
  57. TEST_V3(FV3(0, root, root), angles(CV30, R270, R45));
  58. TEST_V3(FV3(root, -root, 0), angles(CV30, 0, -R45));
  59. TEST_V3(FV3(0, -root, -root), angles(CV30, R90, -R45));
  60. TEST_V3(FV3(-root, -root, 0), angles(CV30, R180, -R45));
  61. TEST_V3(FV3(0, -root, root), angles(CV30, R270, -R45));
  62. TEST_V3(FV3(0.5f, root, -0.5f), angles(CV30, R45, R45));
  63. }
  64. static void testCross() {
  65. TEST_V3(FV3(0, 0, 1), cross(FV3(1, 0, 0), FV3(0, 1, 0)));
  66. TEST_V3(FV3(0, -1, 0), cross(FV3(1, 0, 0), FV3(0, 0, 1)));
  67. TEST_V3(FV3(0, 0, -1), cross(FV3(0, 1, 0), FV3(1, 0, 0)));
  68. TEST_V3(FV3(1, 0, 0), cross(FV3(0, 1, 0), FV3(0, 0, 1)));
  69. TEST_V3(FV3(0, 1, 0), cross(FV3(0, 0, 1), FV3(1, 0, 0)));
  70. TEST_V3(FV3(-1, 0, 0), cross(FV3(0, 0, 1), FV3(0, 1, 0)));
  71. }
  72. static void testSetAdd() {
  73. #define X(T) \
  74. { \
  75. T v = *C##T(0, 0, 0, 0); \
  76. addSet(&v, C##T(1, 2, 3, 4)); \
  77. TEST_##T(C##T(1, 2, 3, 4), &v); \
  78. addSet(&v, C##T(2, 3, 4, 5)); \
  79. TEST_##T(C##T(3, 5, 7, 9), &v); \
  80. }
  81. TESTS
  82. #undef X
  83. }
  84. static void testAdd() {
  85. TEST_V3(FV3(1, 2, 3), add(CV30, FV3(1, 2, 3)));
  86. TEST_V3(FV3(3, 5, 7), add(FV3(1, 2, 3), FV3(2, 3, 4)));
  87. }
  88. static void testSetSub() {
  89. #define X(T) \
  90. { \
  91. T v = *C##T(0, 0, 0, 0); \
  92. subSet(&v, C##T(1, 2, 3, 4)); \
  93. TEST_##T(C##T(-1, -2, -3, -4), &v); \
  94. subSet(&v, C##T(2, 3, 4, 5)); \
  95. TEST_##T(C##T(-3, -5, -7, -9), &v); \
  96. }
  97. TESTS
  98. #undef X
  99. }
  100. static void testSub() {
  101. TEST_V3(FV3(1, 2, 3), sub(CV30, FV3(-1, -2, -3)));
  102. TEST_V3(FV3(-1, -1, -1), sub(FV3(1, 2, 3), FV3(2, 3, 4)));
  103. }
  104. static void testSetMul() {
  105. #define X(T) \
  106. { \
  107. T v = *C##T(1, 2, 3, 4); \
  108. mulSet(&v, 3); \
  109. TEST_##T(C##T(3, 6, 9, 12), &v); \
  110. mulSet(&v, -2); \
  111. TEST_##T(C##T(-6, -12, -18, -24), &v); \
  112. }
  113. TESTS
  114. #undef X
  115. }
  116. static void testMul() {
  117. TEST_V3(FV3(3, 6, 9), mul(FV3(1, 2, 3), 3));
  118. }
  119. static void testSetMulVector() {
  120. #define X(T) \
  121. { \
  122. T v = *C##T(1, 2, 3, 4); \
  123. mulSet(&v, C##T(2, 1, 3, 4)); \
  124. TEST_##T(C##T(2, 2, 9, 16), &v); \
  125. mulSet(&v, C##T(-3, 4, -2, -2)); \
  126. TEST_##T(C##T(-6, 8, -18, -32), &v); \
  127. }
  128. TESTS
  129. #undef X
  130. }
  131. static void testMulVector() {
  132. TEST_V3(FV3(-2, -2, -9), mul(FV3(2, 1, 3), FV3(-1, -2, -3)));
  133. TEST_V3(FV3(2, 2, 9), mul(FV3(1, 2, 3), FV3(2, 1, 3)));
  134. }
  135. static void testSetDiv() {
  136. #define X(T) \
  137. { \
  138. T v = *C##T(18, 36, 9, 27); \
  139. divSet(&v, 3); \
  140. TEST_##T(C##T(6, 12, 3, 9), &v); \
  141. divSet(&v, -3); \
  142. TEST_##T(C##T(-2, -4, -1, -3), &v); \
  143. }
  144. TESTS
  145. #undef X
  146. }
  147. static void testDiv() {
  148. TEST_V3(FV3(-1, -2, -3), div(FV3(-3, -6, -9), 3));
  149. }
  150. static void testSetDivVector() {
  151. #define X(T) \
  152. { \
  153. T v = *C##T(12, 4, 6, 8); \
  154. divSet(&v, C##T(2, 1, 3, 4)); \
  155. TEST_##T(C##T(6, 4, 2, 2), &v); \
  156. divSet(&v, C##T(-3, 4, -2, -1)); \
  157. TEST_##T(C##T(-2, 1, -1, -2), &v); \
  158. }
  159. TESTS
  160. #undef X
  161. }
  162. static void testDivVector() {
  163. TEST_V3(FV3(-2, -0.5f, -1), div(FV3(2, 1, 3), FV3(-1, -2, -3)));
  164. TEST_V3(FV3(0.5f, 2, 1), div(FV3(1, 2, 3), FV3(2, 1, 3)));
  165. }
  166. static void testSetInvert() {
  167. TEST_V2(FV2(-1, 2), invertSet(FV2(1, -2)));
  168. TEST_V3(FV3(-1, 2, 3), invertSet(FV3(1, -2, -3)));
  169. TEST_V4(CV4(-1, 2, 3, 4), invertSet(CV4(1, -2, -3, -4)));
  170. TEST_IV2(FIV2(-1, 2), invertSet(FIV2(1, -2)));
  171. TEST_IV3(FIV3(-1, 2, 3), invertSet(FIV3(1, -2, -3)));
  172. TEST_IV4(CIV4(-1, 2, 3, 4), invertSet(CIV4(1, -2, -3, -4)));
  173. }
  174. static void testInvert() {
  175. TEST_V3(FV3(-1, 2, 3), invert(FV3(1, -2, -3)));
  176. }
  177. static void testDot() {
  178. TEST_FLOAT(0, dot(FV2(-4, 2), FV2(-1, -2)), eps);
  179. TEST_FLOAT(9, dot(FV3(-4, 2, -3), FV3(-1, -2, -3)), eps);
  180. TEST_FLOAT(16, dot(CV4(-4, 2, -3, 1), CV4(-1, -2, -3, 7)), eps);
  181. }
  182. static void testSquareLength() {
  183. TEST_FLOAT(20, squareLength(FV2(-4, 2)), eps);
  184. TEST_FLOAT(29, squareLength(FV3(-4, 2, -3)), eps);
  185. TEST_FLOAT(54, squareLength(CV4(-4, 2, -3, 5)), eps);
  186. }
  187. static void testLength() {
  188. TEST_FLOAT(5, length(FV2(-3, 4)), eps);
  189. TEST_FLOAT(13, length(FV2(5, 12)), eps);
  190. TEST_FLOAT(3, length(FV3(-2, 2, -1)), eps);
  191. TEST_FLOAT(7, length(FV3(6, 2, -3)), eps);
  192. TEST_FLOAT(3, length(CV4(-2, 2, 0, -1)), eps);
  193. TEST_FLOAT(9, length(CV4(6, 0, -6, 3)), eps);
  194. }
  195. static void testNormalize() {
  196. {
  197. V2 v1 = {{-15, 20}};
  198. V2 v2;
  199. mul(&v2, &v1, 1.0f / 25.0f);
  200. normalize(&v1);
  201. TEST_V2(&v2, &v1);
  202. V2 v3 = {{15, 36}};
  203. V2 v4;
  204. mul(&v4, &v3, 1.0f / 39.0f);
  205. normalize(&v3);
  206. TEST_V2(&v4, &v3);
  207. }
  208. {
  209. V3 v1 = {{-2, 2, -1}};
  210. V3 v2;
  211. mul(&v2, &v1, 1.0f / 3.0f);
  212. normalize(&v1);
  213. TEST_V3(&v2, &v1);
  214. V3 v3 = {{6, 2, -3}};
  215. V3 v4;
  216. mul(&v4, &v3, 1.0f / 7.0f);
  217. normalize(&v3);
  218. TEST_V3(&v4, &v3);
  219. }
  220. {
  221. V4 v1 = {{-2, 2, 0, -1}};
  222. V4 v2;
  223. mul(&v2, &v1, 1.0f / 3.0f);
  224. normalize(&v1);
  225. TEST_V4(&v2, &v1);
  226. V4 v3 = {{6, 0, -6, 3}};
  227. V4 v4;
  228. mul(&v4, &v3, 1.0f / 9.0f);
  229. normalize(&v3);
  230. TEST_V4(&v4, &v3);
  231. }
  232. }
  233. static void testCast() {
  234. TEST_V2(FV2(-2.0f, 2.0f), convert(CV20, FIV2(-2, 2)));
  235. TEST_IV2(FIV2(-2, 2), convert(CIV20, FV2(-2.5f, 2.6f)));
  236. TEST_V3(FV3(-2.0f, 2.0f, 9.0f), convert(CV30, FIV3(-2, 2, 9)));
  237. TEST_IV3(FIV3(-2, 2, 9), convert(CIV30, FV3(-2.5f, 2.6f, 9.0f)));
  238. TEST_V4(CV4(-2.0f, 2.0f, 9.0f, 6.0f), convert(CV40, CIV4(-2, 2, 9, 6)));
  239. TEST_IV4(CIV4(-2, 2, 9, 3), convert(CIV40, CV4(-2.5f, 2.6f, 9.0f, 3.2f)));
  240. }
  241. static void testToString() {
  242. char buffer[64];
  243. toStringV2(FV2(4, 5), buffer, sizeof(buffer));
  244. TEST_STRING("[4.000, 5.000]", buffer);
  245. toStringV3(FV3(4, 5, 6), buffer, sizeof(buffer));
  246. TEST_STRING("[4.000, 5.000, 6.000]", buffer);
  247. toStringV4(CV4(4, 5, 6, 7), buffer, sizeof(buffer));
  248. TEST_STRING("[4.000, 5.000, 6.000, 7.000]", buffer);
  249. toStringIV2(FIV2(4, 5), buffer, sizeof(buffer));
  250. TEST_STRING("[4, 5]", buffer);
  251. toStringIV3(FIV3(4, 5, 6), buffer, sizeof(buffer));
  252. TEST_STRING("[4, 5, 6]", buffer);
  253. toStringIV4(CIV4(4, 5, 6, 7), buffer, sizeof(buffer));
  254. TEST_STRING("[4, 5, 6, 7]", buffer);
  255. }
  256. void testVector() {
  257. testSetAngles();
  258. testCross();
  259. testSetAdd();
  260. testAdd();
  261. testSetSub();
  262. testSub();
  263. testSetMul();
  264. testMul();
  265. testSetMulVector();
  266. testMulVector();
  267. testSetDiv();
  268. testDiv();
  269. testSetDivVector();
  270. testDivVector();
  271. testSetInvert();
  272. testInvert();
  273. testDot();
  274. testSquareLength();
  275. testLength();
  276. testNormalize();
  277. testCast();
  278. testToString();
  279. }