xlu_pivot.c 12 KB

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  1. /* StarPU --- Runtime system for heterogeneous multicore architectures.
  2. *
  3. * Copyright (C) 2009-2012 Université de Bordeaux 1
  4. * Copyright (C) 2010, 2011, 2012 Centre National de la Recherche Scientifique
  5. *
  6. * StarPU is free software; you can redistribute it and/or modify
  7. * it under the terms of the GNU Lesser General Public License as published by
  8. * the Free Software Foundation; either version 2.1 of the License, or (at
  9. * your option) any later version.
  10. *
  11. * StarPU is distributed in the hope that it will be useful, but
  12. * WITHOUT ANY WARRANTY; without even the implied warranty of
  13. * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.
  14. *
  15. * See the GNU Lesser General Public License in COPYING.LGPL for more details.
  16. */
  17. #include "xlu.h"
  18. #include "xlu_kernels.h"
  19. #define TAG11(k) ((starpu_tag_t)( (1ULL<<60) | (unsigned long long)(k)))
  20. #define TAG12(k,i) ((starpu_tag_t)(((2ULL<<60) | (((unsigned long long)(k))<<32) \
  21. | (unsigned long long)(i))))
  22. #define TAG21(k,j) ((starpu_tag_t)(((3ULL<<60) | (((unsigned long long)(k))<<32) \
  23. | (unsigned long long)(j))))
  24. #define TAG22(k,i,j) ((starpu_tag_t)(((4ULL<<60) | ((unsigned long long)(k)<<32) \
  25. | ((unsigned long long)(i)<<16) \
  26. | (unsigned long long)(j))))
  27. #define PIVOT(k,i) ((starpu_tag_t)(((5ULL<<60) | (((unsigned long long)(k))<<32) \
  28. | (unsigned long long)(i))))
  29. static unsigned no_prio = 0;
  30. /*
  31. * Construct the DAG
  32. */
  33. static struct starpu_task *create_task(starpu_tag_t id)
  34. {
  35. struct starpu_task *task = starpu_task_create();
  36. task->cl_arg = NULL;
  37. task->use_tag = 1;
  38. task->tag_id = id;
  39. return task;
  40. }
  41. static void create_task_pivot(starpu_data_handle_t *dataAp, unsigned nblocks,
  42. struct piv_s *piv_description,
  43. unsigned k, unsigned i,
  44. starpu_data_handle_t (* get_block)(starpu_data_handle_t *, unsigned, unsigned, unsigned))
  45. {
  46. int ret;
  47. struct starpu_task *task = create_task(PIVOT(k, i));
  48. task->cl = &cl_pivot;
  49. /* which sub-data is manipulated ? */
  50. task->handles[0] = get_block(dataAp, nblocks, k, i);
  51. task->cl_arg = &piv_description[k];
  52. /* this is an important task */
  53. if (!no_prio && (i == k+1))
  54. task->priority = STARPU_MAX_PRIO;
  55. /* enforce dependencies ... */
  56. if (k == 0)
  57. {
  58. starpu_tag_declare_deps(PIVOT(k, i), 1, TAG11(k));
  59. }
  60. else
  61. {
  62. if (i > k)
  63. {
  64. starpu_tag_declare_deps(PIVOT(k, i), 2, TAG11(k), TAG22(k-1, i, k));
  65. }
  66. else
  67. {
  68. starpu_tag_t *tags = malloc((nblocks - k)*sizeof(starpu_tag_t));
  69. tags[0] = TAG11(k);
  70. unsigned ind, ind2;
  71. for (ind = k + 1, ind2 = 0; ind < nblocks; ind++, ind2++)
  72. {
  73. tags[1 + ind2] = TAG22(k-1, ind, k);
  74. }
  75. /* perhaps we could do better ... :/ */
  76. starpu_tag_declare_deps_array(PIVOT(k, i), (nblocks-k), tags);
  77. free(tags);
  78. }
  79. }
  80. ret = starpu_task_submit(task);
  81. STARPU_CHECK_RETURN_VALUE(ret, "starpu_task_submit");
  82. }
  83. static struct starpu_task *create_task_11_pivot(starpu_data_handle_t *dataAp, unsigned nblocks,
  84. unsigned k, struct piv_s *piv_description,
  85. starpu_data_handle_t (* get_block)(starpu_data_handle_t *, unsigned, unsigned, unsigned))
  86. {
  87. struct starpu_task *task = create_task(TAG11(k));
  88. task->cl = &cl11_pivot;
  89. task->cl_arg = &piv_description[k];
  90. /* which sub-data is manipulated ? */
  91. task->handles[0] = get_block(dataAp, nblocks, k, k);
  92. /* this is an important task */
  93. if (!no_prio)
  94. task->priority = STARPU_MAX_PRIO;
  95. /* enforce dependencies ... */
  96. if (k > 0)
  97. {
  98. starpu_tag_declare_deps(TAG11(k), 1, TAG22(k-1, k, k));
  99. }
  100. return task;
  101. }
  102. static void create_task_12(starpu_data_handle_t *dataAp, unsigned nblocks, unsigned k, unsigned j,
  103. starpu_data_handle_t (* get_block)(starpu_data_handle_t *, unsigned, unsigned, unsigned))
  104. {
  105. int ret;
  106. /* printf("task 12 k,i = %d,%d TAG = %llx\n", k,i, TAG12(k,i)); */
  107. struct starpu_task *task = create_task(TAG12(k, j));
  108. task->cl = &cl12;
  109. task->cl_arg = (void *)(task->tag_id);
  110. /* which sub-data is manipulated ? */
  111. task->handles[0] = get_block(dataAp, nblocks, k, k);
  112. task->handles[1] = get_block(dataAp, nblocks, j, k);
  113. if (!no_prio && (j == k+1))
  114. {
  115. task->priority = STARPU_MAX_PRIO;
  116. }
  117. /* enforce dependencies ... */
  118. #if 0
  119. starpu_tag_declare_deps(TAG12(k, i), 1, PIVOT(k, i));
  120. #endif
  121. if (k > 0)
  122. {
  123. starpu_tag_declare_deps(TAG12(k, j), 2, TAG11(k), TAG22(k-1, k, j));
  124. }
  125. else
  126. {
  127. starpu_tag_declare_deps(TAG12(k, j), 1, TAG11(k));
  128. }
  129. ret = starpu_task_submit(task);
  130. STARPU_CHECK_RETURN_VALUE(ret, "starpu_task_submit");
  131. }
  132. static void create_task_21(starpu_data_handle_t *dataAp, unsigned nblocks, unsigned k, unsigned i,
  133. starpu_data_handle_t (* get_block)(starpu_data_handle_t *, unsigned, unsigned, unsigned))
  134. {
  135. int ret;
  136. struct starpu_task *task = create_task(TAG21(k, i));
  137. task->cl = &cl21;
  138. /* which sub-data is manipulated ? */
  139. task->handles[0] = get_block(dataAp, nblocks, k, k);
  140. task->handles[1] = get_block(dataAp, nblocks, k, i);
  141. if (!no_prio && (i == k+1))
  142. {
  143. task->priority = STARPU_MAX_PRIO;
  144. }
  145. task->cl_arg = (void *)(task->tag_id);
  146. /* enforce dependencies ... */
  147. starpu_tag_declare_deps(TAG21(k, i), 1, PIVOT(k, i));
  148. ret = starpu_task_submit(task);
  149. STARPU_CHECK_RETURN_VALUE(ret, "starpu_task_submit");
  150. }
  151. static void create_task_22(starpu_data_handle_t *dataAp, unsigned nblocks, unsigned k, unsigned i, unsigned j,
  152. starpu_data_handle_t (* get_block)(starpu_data_handle_t *, unsigned, unsigned, unsigned))
  153. {
  154. int ret;
  155. /* printf("task 22 k,i,j = %d,%d,%d TAG = %llx\n", k,i,j, TAG22(k,i,j)); */
  156. struct starpu_task *task = create_task(TAG22(k, i, j));
  157. task->cl = &cl22;
  158. task->cl_arg = (void *)(task->tag_id);
  159. /* which sub-data is manipulated ? */
  160. task->handles[0] = get_block(dataAp, nblocks, k, i); /* produced by TAG21(k, i) */
  161. task->handles[1] = get_block(dataAp, nblocks, j, k); /* produced by TAG12(k, j) */
  162. task->handles[2] = get_block(dataAp, nblocks, j, i); /* produced by TAG22(k-1, i, j) */
  163. if (!no_prio && (i == k + 1) && (j == k +1) )
  164. {
  165. task->priority = STARPU_MAX_PRIO;
  166. }
  167. /* enforce dependencies ... */
  168. if (k > 0)
  169. {
  170. starpu_tag_declare_deps(TAG22(k, i, j), 3, TAG22(k-1, i, j), TAG12(k, j), TAG21(k, i));
  171. }
  172. else
  173. {
  174. starpu_tag_declare_deps(TAG22(k, i, j), 2, TAG12(k, j), TAG21(k, i));
  175. }
  176. ret = starpu_task_submit(task);
  177. STARPU_CHECK_RETURN_VALUE(ret, "starpu_task_submit");
  178. }
  179. /*
  180. * code to bootstrap the factorization
  181. */
  182. static double dw_codelet_facto_pivot(starpu_data_handle_t *dataAp,
  183. struct piv_s *piv_description,
  184. unsigned nblocks,
  185. starpu_data_handle_t (* get_block)(starpu_data_handle_t *, unsigned, unsigned, unsigned))
  186. {
  187. int ret;
  188. struct timeval start;
  189. struct timeval end;
  190. struct starpu_task *entry_task = NULL;
  191. /* create all the DAG nodes */
  192. unsigned i,j,k;
  193. for (k = 0; k < nblocks; k++)
  194. {
  195. struct starpu_task *task = create_task_11_pivot(dataAp, nblocks, k, piv_description, get_block);
  196. /* we defer the launch of the first task */
  197. if (k == 0)
  198. {
  199. entry_task = task;
  200. }
  201. else
  202. {
  203. ret = starpu_task_submit(task);
  204. STARPU_CHECK_RETURN_VALUE(ret, "starpu_task_submit");
  205. }
  206. for (i = 0; i < nblocks; i++)
  207. {
  208. if (i != k)
  209. create_task_pivot(dataAp, nblocks, piv_description, k, i, get_block);
  210. }
  211. for (i = k+1; i<nblocks; i++)
  212. {
  213. create_task_12(dataAp, nblocks, k, i, get_block);
  214. create_task_21(dataAp, nblocks, k, i, get_block);
  215. }
  216. for (i = k+1; i<nblocks; i++)
  217. {
  218. for (j = k+1; j<nblocks; j++)
  219. {
  220. create_task_22(dataAp, nblocks, k, i, j, get_block);
  221. }
  222. }
  223. }
  224. /* we wait the last task (TAG11(nblocks - 1)) and all the pivot tasks */
  225. starpu_tag_t *tags = malloc(nblocks*nblocks*sizeof(starpu_tag_t));
  226. unsigned ndeps = 0;
  227. tags[ndeps++] = TAG11(nblocks - 1);
  228. for (j = 0; j < nblocks; j++)
  229. {
  230. for (i = 0; i < j; i++)
  231. {
  232. tags[ndeps++] = PIVOT(j, i);
  233. }
  234. }
  235. /* schedule the codelet */
  236. gettimeofday(&start, NULL);
  237. ret = starpu_task_submit(entry_task);
  238. if (STARPU_UNLIKELY(ret == -ENODEV))
  239. {
  240. FPRINTF(stderr, "No worker may execute this task\n");
  241. exit(-1);
  242. }
  243. /* stall the application until the end of computations */
  244. starpu_tag_wait_array(ndeps, tags);
  245. /* starpu_task_wait_for_all(); */
  246. free(tags);
  247. gettimeofday(&end, NULL);
  248. double timing = (double)((end.tv_sec - start.tv_sec)*1000000 + (end.tv_usec - start.tv_usec));
  249. return timing;
  250. }
  251. starpu_data_handle_t get_block_with_striding(starpu_data_handle_t *dataAp,
  252. unsigned nblocks __attribute__((unused)), unsigned j, unsigned i)
  253. {
  254. /* we use filters */
  255. return starpu_data_get_sub_data(*dataAp, 2, j, i);
  256. }
  257. void STARPU_LU(lu_decomposition_pivot)(TYPE *matA, unsigned *ipiv, unsigned size, unsigned ld, unsigned nblocks)
  258. {
  259. starpu_data_handle_t dataA;
  260. /* monitor and partition the A matrix into blocks :
  261. * one block is now determined by 2 unsigned (i,j) */
  262. starpu_matrix_data_register(&dataA, 0, (uintptr_t)matA, ld, size, size, sizeof(TYPE));
  263. /* We already enforce deps by hand */
  264. starpu_data_set_sequential_consistency_flag(dataA, 0);
  265. struct starpu_data_filter f =
  266. {
  267. .filter_func = starpu_vertical_block_filter_func,
  268. .nchildren = nblocks
  269. };
  270. struct starpu_data_filter f2 =
  271. {
  272. .filter_func = starpu_block_filter_func,
  273. .nchildren = nblocks
  274. };
  275. starpu_data_map_filters(dataA, 2, &f, &f2);
  276. unsigned i;
  277. for (i = 0; i < size; i++)
  278. ipiv[i] = i;
  279. struct piv_s *piv_description = malloc(nblocks*sizeof(struct piv_s));
  280. unsigned block;
  281. for (block = 0; block < nblocks; block++)
  282. {
  283. piv_description[block].piv = ipiv;
  284. piv_description[block].first = block * (size / nblocks);
  285. piv_description[block].last = (block + 1) * (size / nblocks);
  286. }
  287. #if 0
  288. unsigned j;
  289. for (j = 0; j < nblocks; j++)
  290. for (i = 0; i < nblocks; i++)
  291. {
  292. printf("BLOCK %d %d %p\n", i, j, &matA[i*(size/nblocks) + j * (size/nblocks)*ld]);
  293. }
  294. #endif
  295. double timing;
  296. timing = dw_codelet_facto_pivot(&dataA, piv_description, nblocks, get_block_with_striding);
  297. FPRINTF(stderr, "Computation took (in ms)\n");
  298. FPRINTF(stderr, "%2.2f\n", timing/1000);
  299. unsigned n = starpu_matrix_get_nx(dataA);
  300. double flop = (2.0f*n*n*n)/3.0f;
  301. FPRINTF(stderr, "Synthetic GFlops : %2.2f\n", (flop/timing/1000.0f));
  302. /* gather all the data */
  303. starpu_data_unpartition(dataA, 0);
  304. free(piv_description);
  305. }
  306. starpu_data_handle_t get_block_with_no_striding(starpu_data_handle_t *dataAp, unsigned nblocks, unsigned j, unsigned i)
  307. {
  308. /* dataAp is an array of data handle */
  309. return dataAp[i+j*nblocks];
  310. }
  311. void STARPU_LU(lu_decomposition_pivot_no_stride)(TYPE **matA, unsigned *ipiv, unsigned size, unsigned ld, unsigned nblocks)
  312. {
  313. starpu_data_handle_t *dataAp = malloc(nblocks*nblocks*sizeof(starpu_data_handle_t));
  314. /* monitor and partition the A matrix into blocks :
  315. * one block is now determined by 2 unsigned (i,j) */
  316. unsigned bi, bj;
  317. for (bj = 0; bj < nblocks; bj++)
  318. for (bi = 0; bi < nblocks; bi++)
  319. {
  320. starpu_matrix_data_register(&dataAp[bi+nblocks*bj], 0,
  321. (uintptr_t)matA[bi+nblocks*bj], size/nblocks,
  322. size/nblocks, size/nblocks, sizeof(TYPE));
  323. /* We already enforce deps by hand */
  324. starpu_data_set_sequential_consistency_flag(dataAp[bi+nblocks*bj], 0);
  325. }
  326. unsigned i;
  327. for (i = 0; i < size; i++)
  328. ipiv[i] = i;
  329. struct piv_s *piv_description = malloc(nblocks*sizeof(struct piv_s));
  330. unsigned block;
  331. for (block = 0; block < nblocks; block++)
  332. {
  333. piv_description[block].piv = ipiv;
  334. piv_description[block].first = block * (size / nblocks);
  335. piv_description[block].last = (block + 1) * (size / nblocks);
  336. }
  337. double timing;
  338. timing = dw_codelet_facto_pivot(dataAp, piv_description, nblocks, get_block_with_no_striding);
  339. FPRINTF(stderr, "Computation took (in ms)\n");
  340. FPRINTF(stderr, "%2.2f\n", timing/1000);
  341. unsigned n = starpu_matrix_get_nx(dataAp[0])*nblocks;
  342. double flop = (2.0f*n*n*n)/3.0f;
  343. FPRINTF(stderr, "Synthetic GFlops : %2.2f\n", (flop/timing/1000.0f));
  344. for (bj = 0; bj < nblocks; bj++)
  345. for (bi = 0; bi < nblocks; bi++)
  346. {
  347. starpu_data_unregister(dataAp[bi+nblocks*bj]);
  348. }
  349. free(dataAp);
  350. }