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  1. #ifdef TEST
  2. #include "unity.h"
  3. #include "addition.h"
  4. num carry[1];
  5. unsigned int e = 0x00800000;
  6. union {
  7. float floating;
  8. unsigned int integer;
  9. } number[6];
  10. union {
  11. double dnum;
  12. unsigned long long lnum;
  13. } numberd[6];
  14. void setUp(void)
  15. {
  16. }
  17. void tearDown(void)
  18. {
  19. }
  20. void test_addition_full_adder_nullplusnullgleichnull(void)
  21. {
  22. num result[1];
  23. num expected = 0;
  24. full_adder(result, carry, 0, 0, 0);
  25. TEST_ASSERT_EQUAL_UINT(expected, result[0]);
  26. }
  27. void test_addition_full_adder_nullplusnullgleichnullmituebertrag(void)
  28. {
  29. num result[1];
  30. num expected = 1;
  31. full_adder(result, carry, 0, 0, 1);
  32. TEST_ASSERT_EQUAL_UINT(expected, result[0]);
  33. }
  34. void test_addition_full_adder_zahlpluszahlgleichsummeohneuebertrag(void)
  35. {
  36. num result[5];
  37. num expected[5] = { 0, 1, 1, 1, 1};
  38. full_adder((result+0), carry, 1, 0, 1);
  39. full_adder((result+1), carry, 0, 1, 0);
  40. full_adder((result+2), carry, 1, 0, 0);
  41. full_adder((result+3), carry, 0, 0, 1);
  42. full_adder((result+4), carry, 1, 1, 1);
  43. TEST_ASSERT_EQUAL_UINT(expected[0], result[0]);
  44. TEST_ASSERT_EQUAL_UINT(expected[1], result[1]);
  45. TEST_ASSERT_EQUAL_UINT(expected[2], result[2]);
  46. TEST_ASSERT_EQUAL_UINT(expected[3], result[3]);
  47. TEST_ASSERT_EQUAL_UINT(expected[4], result[4]);
  48. }
  49. void test_addition_full_adder_completesumwithcarry(void)
  50. {
  51. num result[5], carryresult[5];
  52. num expected[5] = { 0, 0, 1, 1, 0}, expectedcarry[5] = { 1, 1, 1, 0, 0};
  53. full_adder(result+0, carryresult+0, 0, 1, 1);
  54. full_adder(result+1, carryresult+1, 1, 1, 0);
  55. full_adder(result+2, carryresult+2, 1, 1, 1);
  56. full_adder(result+3, carryresult+3, 0, 1, 0);
  57. full_adder(result+4, carryresult+4, 0, 0, 0);
  58. TEST_ASSERT_EQUAL_UINT(expected[0], result[0]);
  59. TEST_ASSERT_EQUAL_UINT(expected[1], result[1]);
  60. TEST_ASSERT_EQUAL_UINT(expected[2], result[2]);
  61. TEST_ASSERT_EQUAL_UINT(expected[3], result[3]);
  62. TEST_ASSERT_EQUAL_UINT(expected[4], result[4]);
  63. TEST_ASSERT_EQUAL_UINT(expectedcarry[0], carryresult[0]);
  64. TEST_ASSERT_EQUAL_UINT(expectedcarry[1], carryresult[1]);
  65. TEST_ASSERT_EQUAL_UINT(expectedcarry[2], carryresult[2]);
  66. TEST_ASSERT_EQUAL_UINT(expectedcarry[3], carryresult[3]);
  67. TEST_ASSERT_EQUAL_UINT(expectedcarry[4], carryresult[4]);
  68. }
  69. void test_addition_addition_uint_basecasezeropluszeroequalzero(void)
  70. {
  71. unsigned int result;
  72. unsigned int expected = 0;
  73. result = addition_uint(0, 0);
  74. TEST_ASSERT_EQUAL_UINT(expected, result);
  75. }
  76. void test_addition_addition_uint_basecaseonescolumns(void)
  77. {
  78. unsigned int result[2];
  79. unsigned int expected[2] = { 1, 1 };
  80. result[0] = addition_uint(1, 0);
  81. result[1] = addition_uint(0, 1);
  82. TEST_ASSERT_EQUAL_UINT(expected[0], result[0]);
  83. TEST_ASSERT_EQUAL_UINT(expected[1], result[1]);
  84. }
  85. void test_addition_addition_uint_basecasetotenscolumns(void)
  86. {
  87. unsigned int result[5];
  88. unsigned int expected[5] = { 3, 3, 2, 3, 3 };
  89. result[0] = addition_uint(0, 3);
  90. result[1] = addition_uint(1, 2);
  91. result[2] = addition_uint(1, 1);
  92. result[3] = addition_uint(2, 1);
  93. result[4] = addition_uint(3, 0);
  94. TEST_ASSERT_EQUAL_UINT(expected[0], result[0]);
  95. TEST_ASSERT_EQUAL_UINT(expected[1], result[1]);
  96. TEST_ASSERT_EQUAL_UINT(expected[2], result[2]);
  97. TEST_ASSERT_EQUAL_UINT(expected[3], result[3]);
  98. TEST_ASSERT_EQUAL_UINT(expected[4], result[4]);
  99. }
  100. void test_addition_addition_uint_allunsignedinteger(void)
  101. {
  102. unsigned int result[5];
  103. unsigned int expected[5] = { 88879736, __UINT32_MAX__, 66558, __UINT32_MAX__, 477905879 };
  104. result[0] = addition_uint(13456275, 75423461);
  105. result[1] = addition_uint(4294967294, 1);
  106. result[2] = addition_uint(1023, 65535);
  107. result[3] = addition_uint(0, 4294967295);
  108. result[4] = addition_uint(54321567,423584312);
  109. TEST_ASSERT_EQUAL_UINT(expected[0], result[0]);
  110. TEST_ASSERT_EQUAL_UINT(expected[1], result[1]);
  111. TEST_ASSERT_EQUAL_UINT(expected[2], result[2]);
  112. TEST_ASSERT_EQUAL_UINT(expected[3], result[3]);
  113. TEST_ASSERT_EQUAL_UINT(expected[4], result[4]);
  114. }
  115. void test_addition_sign_floatingnumber(void)
  116. {
  117. unsigned int result[2];
  118. unsigned int expected[2] = { 0, 1 };
  119. number[0].floating = 1, number[1].floating = -1;
  120. result[0] = sign_float(number[0].integer);
  121. result[1] = sign_float(number[1].integer);
  122. TEST_ASSERT_EQUAL_UINT(expected[0], result[0]);
  123. TEST_ASSERT_EQUAL_UINT(expected[1], result[1]);
  124. }
  125. void test_addition_precision_floatingnumber(void)
  126. {
  127. unsigned int result[5];
  128. number[0].floating = 0, number[1].floating = -34753168, number[2].floating = 75613594, number[3].floating = -0.00000044568721, number[4].floating = 0.0000004796123;
  129. unsigned int expected[5] = { ( number[0].integer << 9) >> 9 , ( number[1].integer << 9) >> 9, ( number[2].integer << 9) >> 9, ( number[3].integer << 9) >> 9, ( number[4].integer << 9) >> 9};
  130. result[0] = precision_float( number[0].integer );
  131. result[1] = precision_float( number[1].integer );
  132. result[2] = precision_float( number[2].integer );
  133. result[3] = precision_float( number[3].integer );
  134. result[4] = precision_float( number[4].integer );
  135. TEST_ASSERT_EQUAL_UINT(expected[0], result[0]);
  136. TEST_ASSERT_EQUAL_UINT(expected[1], result[1]);
  137. TEST_ASSERT_EQUAL_UINT(expected[2], result[2]);
  138. TEST_ASSERT_EQUAL_UINT(expected[3], result[3]);
  139. TEST_ASSERT_EQUAL_UINT(expected[4], result[4]);
  140. }
  141. void test_addition_exponent_floatingnumber(void)
  142. {
  143. unsigned int result[5];
  144. number[0].floating = 0, number[1].floating = -762134982, number[2].floating = 47621349, number[3].floating = -0.0000078961354, number[4].floating = 0.00001568943;
  145. unsigned int expected[5] = { ( number[0].integer << 1) >> 24 , ( number[1].integer << 1) >> 24, ( number[2].integer << 1) >> 24, ( number[3].integer << 1) >> 24, ( number[4].integer << 1) >> 24};
  146. result[0] = exponent_float( number[0].integer );
  147. result[1] = exponent_float( number[1].integer );
  148. result[2] = exponent_float( number[2].integer );
  149. result[3] = exponent_float( number[3].integer );
  150. result[4] = exponent_float( number[4].integer );
  151. TEST_ASSERT_EQUAL_UINT(expected[0], result[0]);
  152. TEST_ASSERT_EQUAL_UINT(expected[1], result[1]);
  153. TEST_ASSERT_EQUAL_UINT(expected[2], result[2]);
  154. TEST_ASSERT_EQUAL_UINT(expected[3], result[3]);
  155. TEST_ASSERT_EQUAL_UINT(expected[4], result[4]);
  156. }
  157. void test_addition_addition_precision_float_positivnumberlowerthan2tothepowerof24(void)
  158. {
  159. unsigned int result[2];
  160. number[0].floating = 652468761.2348, number[1].floating = 2.675312546943, number[2].floating = 321647956212.2146, number[3].floating = 0.00000324567861, number[4].floating = number[0].floating + number[1].floating; number[5].floating = number[2].floating + number[3].floating;
  161. unsigned int expected[2] = { precision_float(number[4].integer), precision_float(number[5].integer) };
  162. unsigned int e0, e1, e2, e3, p0, p1, p2, p3;
  163. e0 = exponent_float(number[0].integer), e1 = exponent_float(number[1].integer), e2 = exponent_float(number[2].integer), e3 = exponent_float(number[3].integer);
  164. p0 = precision_float(number[0].integer) | e, p1 = precision_float(number[1].integer) | e, p2 = precision_float(number[2].integer) | e, p3 = precision_float(number[3].integer) | e;
  165. p1 >>= e0 - e1, p3 >>= e2 - e3;
  166. result[0] = addition_precision_float( p0, p1 ) ^ e;
  167. result[1] = addition_precision_float( p2, p3 ) ^ e;
  168. TEST_ASSERT_EQUAL_UINT(expected[0], result[0]);
  169. TEST_ASSERT_EQUAL_UINT(expected[1], result[1]);
  170. }
  171. void test_addition_output_float_numberwithsignexponentprecision(void)
  172. {
  173. unsigned int result[5];
  174. number[0].floating = 1468921, number[1].floating = -32468127698, number[2].floating = 0.000000795311468, number[3].floating = -0.00000843214521, number[4].floating = 14;
  175. unsigned int expected[5] = { number[0].integer, number[1].integer, number[2].integer, number[3].integer, number[4].integer };
  176. unsigned int s0, s1, s2, s3, s4, e0, e1, e2, e3, e4, p0, p1, p2, p3, p4;
  177. s0 = sign_float(number[0].integer), s1 = sign_float(number[1].integer), s2 = sign_float(number[2].integer), s3 = sign_float(number[3].integer), s4 = sign_float(number[4].integer);
  178. e0 = exponent_float(number[0].integer), e1 = exponent_float(number[1].integer), e2 = exponent_float(number[2].integer), e3 = exponent_float(number[3].integer), e4 = exponent_float(number[4].integer);
  179. p0 = precision_float(number[0].integer), p1 = precision_float(number[1].integer), p2 = precision_float(number[2].integer), p3 = precision_float(number[3].integer), p4 = precision_float(number[4].integer);
  180. result[0] = output_float(s0, e0, p0);
  181. result[1] = output_float(s1, e1, p1);
  182. result[2] = output_float(s2, e2, p2);
  183. result[3] = output_float(s3, e3, p3);
  184. result[4] = output_float(s4, e4, p4);
  185. TEST_ASSERT_EQUAL_UINT(expected[0], result[0]);
  186. TEST_ASSERT_EQUAL_UINT(expected[1], result[1]);
  187. TEST_ASSERT_EQUAL_UINT(expected[2], result[2]);
  188. TEST_ASSERT_EQUAL_UINT(expected[3], result[3]);
  189. TEST_ASSERT_EQUAL_UINT(expected[4], result[4]);
  190. }
  191. void test_addition_addition_float_0plus0gleich0(void)
  192. {
  193. float result;
  194. float expected = (float) 0.0;
  195. result = addition_float( (float) 0.0, (float) 0.0);
  196. TEST_ASSERT_EQUAL_FLOAT(expected, result);
  197. }
  198. void test_addition_addition_float_0plusnumbergleichnumber(void)
  199. {
  200. float result[5];
  201. number[0].floating = 45672.56487, number[1].floating = -9531145672.467, number[2].floating = 91357634, number[3].floating = -0.0000000079533144, number[4].floating = 0.0756215698;
  202. float expected[5] = { number[0].floating, number[1].floating, number[2].floating, number[3].floating, number[4].floating };
  203. result[0] = addition_float(number[0].floating, (float) 0.0);
  204. result[1] = addition_float((float) 0.0, number[1].floating);
  205. result[2] = addition_float(number[2].floating, (float) 0.0);
  206. result[3] = addition_float((float) 0.0, number[3].floating);
  207. result[4] = addition_float((float) 0.0, number[4].floating);
  208. TEST_ASSERT_EQUAL_FLOAT(expected[0], result[0]);
  209. TEST_ASSERT_EQUAL_FLOAT(expected[1], result[1]);
  210. TEST_ASSERT_EQUAL_FLOAT(expected[2], result[2]);
  211. TEST_ASSERT_EQUAL_FLOAT(expected[3], result[3]);
  212. TEST_ASSERT_EQUAL_FLOAT(expected[4], result[4]);
  213. }
  214. void test_addition_addition_float_sumofpositivnumbers(void)
  215. {
  216. float result[3];
  217. number[0].floating = 31972543.42176, number[1].floating = 423576.006432054, number[2].floating = 1346.4546124016, number[3].floating = 75620056402.5431, number[4].floating = 0.5351401453104, number[5].floating = 0.469178612;
  218. float expected[3] = { number[0].floating + number[1].floating, number[2].floating + number[3].floating, number[4].floating + number[5].floating };
  219. result[0] = addition_float(number[0].floating, number[1].floating);
  220. result[1] = addition_float(number[2].floating, number[3].floating);
  221. result[2] = addition_float(number[4].floating, number[5].floating);
  222. TEST_ASSERT_EQUAL_FLOAT(expected[0], result[0]);
  223. TEST_ASSERT_EQUAL_FLOAT(expected[1], result[1]);
  224. TEST_ASSERT_EQUAL_FLOAT(expected[2], result[2]);
  225. }
  226. void test_addition_sign_double_numbers(void)
  227. {
  228. unsigned long long result[2];
  229. unsigned long long expected[2] = { 1, 0 };
  230. numberd[0].dnum = -3004683105640520235, numberd[1].dnum = 0.05313546453135;
  231. result[0] = sign_double(numberd[0].lnum);
  232. result[1] = sign_double(numberd[1].lnum);
  233. TEST_ASSERT_EQUAL_UINT64(expected[0], result[0]);
  234. TEST_ASSERT_EQUAL_UINT64(expected[1], result[1]);
  235. }
  236. void test_addition_precision_double_numbers(void)
  237. {
  238. unsigned long long result[5];
  239. numberd[0].dnum = 3216752.2348648931012, numberd[1].dnum = -79865431546, numberd[2].dnum = 203, numberd[3].dnum = -0.00460023540056432002, numberd[4].dnum = 0.000000000791340265431213;
  240. unsigned long long expected[5] = { (numberd[0].lnum << 12) >> 12 , (numberd[1].lnum << 12) >> 12, (numberd[2].lnum << 12) >> 12, (numberd[3].lnum << 12) >> 12, (numberd[4].lnum << 12) >> 12};
  241. result[0] = precision_double( numberd[0].lnum );
  242. result[1] = precision_double( numberd[1].lnum );
  243. result[2] = precision_double( numberd[2].lnum );
  244. result[3] = precision_double( numberd[3].lnum );
  245. result[4] = precision_double( numberd[4].lnum );
  246. TEST_ASSERT_EQUAL_UINT64(expected[0], result[0]);
  247. TEST_ASSERT_EQUAL_UINT64(expected[1], result[1]);
  248. TEST_ASSERT_EQUAL_UINT64(expected[2], result[2]);
  249. TEST_ASSERT_EQUAL_UINT64(expected[3], result[3]);
  250. TEST_ASSERT_EQUAL_UINT64(expected[4], result[4]);
  251. }
  252. void test_addition_exponent_double_numbers(void)
  253. {
  254. unsigned long long result[5];
  255. numberd[0].dnum = 830046503435461000, numberd[1].dnum = -906056810308432, numberd[2].dnum = 0.5315020335035034357, numberd[3].dnum = -34, numberd[4].dnum = 94315454312021310;
  256. unsigned long long expected[5] = { (numberd[0].lnum << 1) >> 53 , (numberd[1].lnum << 1) >> 53, (numberd[2].lnum << 1) >> 53, (numberd[3].lnum << 1) >> 53, (numberd[4].lnum << 1) >> 53};
  257. result[0] = exponent_double( numberd[0].lnum );
  258. result[1] = exponent_double( numberd[1].lnum );
  259. result[2] = exponent_double( numberd[2].lnum );
  260. result[3] = exponent_double( numberd[3].lnum );
  261. result[4] = exponent_double( numberd[4].lnum );
  262. TEST_ASSERT_EQUAL_UINT64(expected[0], result[0]);
  263. TEST_ASSERT_EQUAL_UINT64(expected[1], result[1]);
  264. TEST_ASSERT_EQUAL_UINT64(expected[2], result[2]);
  265. TEST_ASSERT_EQUAL_UINT64(expected[3], result[3]);
  266. TEST_ASSERT_EQUAL_UINT64(expected[4], result[4]);
  267. }
  268. #endif // TEST