xlu_pivot.c 12 KB

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  1. /* StarPU --- Runtime system for heterogeneous multicore architectures.
  2. *
  3. * Copyright (C) 2009, 2010-2011 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. }
  78. }
  79. ret = starpu_task_submit(task);
  80. STARPU_CHECK_RETURN_VALUE(ret, "starpu_task_submit");
  81. }
  82. static struct starpu_task *create_task_11_pivot(starpu_data_handle_t *dataAp, unsigned nblocks,
  83. unsigned k, struct piv_s *piv_description,
  84. starpu_data_handle_t (* get_block)(starpu_data_handle_t *, unsigned, unsigned, unsigned))
  85. {
  86. struct starpu_task *task = create_task(TAG11(k));
  87. task->cl = &cl11_pivot;
  88. task->cl_arg = &piv_description[k];
  89. /* which sub-data is manipulated ? */
  90. task->handles[0] = get_block(dataAp, nblocks, k, k);
  91. /* this is an important task */
  92. if (!no_prio)
  93. task->priority = STARPU_MAX_PRIO;
  94. /* enforce dependencies ... */
  95. if (k > 0)
  96. {
  97. starpu_tag_declare_deps(TAG11(k), 1, TAG22(k-1, k, k));
  98. }
  99. return task;
  100. }
  101. static void create_task_12(starpu_data_handle_t *dataAp, unsigned nblocks, unsigned k, unsigned j,
  102. starpu_data_handle_t (* get_block)(starpu_data_handle_t *, unsigned, unsigned, unsigned))
  103. {
  104. int ret;
  105. /* printf("task 12 k,i = %d,%d TAG = %llx\n", k,i, TAG12(k,i)); */
  106. struct starpu_task *task = create_task(TAG12(k, j));
  107. task->cl = &cl12;
  108. task->cl_arg = (void *)(task->tag_id);
  109. /* which sub-data is manipulated ? */
  110. task->handles[0] = get_block(dataAp, nblocks, k, k);
  111. task->handles[1] = get_block(dataAp, nblocks, j, k);
  112. if (!no_prio && (j == k+1))
  113. {
  114. task->priority = STARPU_MAX_PRIO;
  115. }
  116. /* enforce dependencies ... */
  117. #if 0
  118. starpu_tag_declare_deps(TAG12(k, i), 1, PIVOT(k, i));
  119. #endif
  120. if (k > 0)
  121. {
  122. starpu_tag_declare_deps(TAG12(k, j), 2, TAG11(k), TAG22(k-1, k, j));
  123. }
  124. else
  125. {
  126. starpu_tag_declare_deps(TAG12(k, j), 1, TAG11(k));
  127. }
  128. ret = starpu_task_submit(task);
  129. STARPU_CHECK_RETURN_VALUE(ret, "starpu_task_submit");
  130. }
  131. static void create_task_21(starpu_data_handle_t *dataAp, unsigned nblocks, unsigned k, unsigned i,
  132. starpu_data_handle_t (* get_block)(starpu_data_handle_t *, unsigned, unsigned, unsigned))
  133. {
  134. int ret;
  135. struct starpu_task *task = create_task(TAG21(k, i));
  136. task->cl = &cl21;
  137. /* which sub-data is manipulated ? */
  138. task->handles[0] = get_block(dataAp, nblocks, k, k);
  139. task->handles[1] = get_block(dataAp, nblocks, k, i);
  140. if (!no_prio && (i == k+1))
  141. {
  142. task->priority = STARPU_MAX_PRIO;
  143. }
  144. task->cl_arg = (void *)(task->tag_id);
  145. /* enforce dependencies ... */
  146. starpu_tag_declare_deps(TAG21(k, i), 1, PIVOT(k, i));
  147. ret = starpu_task_submit(task);
  148. STARPU_CHECK_RETURN_VALUE(ret, "starpu_task_submit");
  149. }
  150. static void create_task_22(starpu_data_handle_t *dataAp, unsigned nblocks, unsigned k, unsigned i, unsigned j,
  151. starpu_data_handle_t (* get_block)(starpu_data_handle_t *, unsigned, unsigned, unsigned))
  152. {
  153. int ret;
  154. /* printf("task 22 k,i,j = %d,%d,%d TAG = %llx\n", k,i,j, TAG22(k,i,j)); */
  155. struct starpu_task *task = create_task(TAG22(k, i, j));
  156. task->cl = &cl22;
  157. task->cl_arg = (void *)(task->tag_id);
  158. /* which sub-data is manipulated ? */
  159. task->handles[0] = get_block(dataAp, nblocks, k, i); /* produced by TAG21(k, i) */
  160. task->handles[1] = get_block(dataAp, nblocks, j, k); /* produced by TAG12(k, j) */
  161. task->handles[2] = get_block(dataAp, nblocks, j, i); /* produced by TAG22(k-1, i, j) */
  162. if (!no_prio && (i == k + 1) && (j == k +1) )
  163. {
  164. task->priority = STARPU_MAX_PRIO;
  165. }
  166. /* enforce dependencies ... */
  167. if (k > 0)
  168. {
  169. starpu_tag_declare_deps(TAG22(k, i, j), 3, TAG22(k-1, i, j), TAG12(k, j), TAG21(k, i));
  170. }
  171. else
  172. {
  173. starpu_tag_declare_deps(TAG22(k, i, j), 2, TAG12(k, j), TAG21(k, i));
  174. }
  175. ret = starpu_task_submit(task);
  176. STARPU_CHECK_RETURN_VALUE(ret, "starpu_task_submit");
  177. }
  178. /*
  179. * code to bootstrap the factorization
  180. */
  181. static double dw_codelet_facto_pivot(starpu_data_handle_t *dataAp,
  182. struct piv_s *piv_description,
  183. unsigned nblocks,
  184. starpu_data_handle_t (* get_block)(starpu_data_handle_t *, unsigned, unsigned, unsigned))
  185. {
  186. int ret;
  187. struct timeval start;
  188. struct timeval end;
  189. struct starpu_task *entry_task = NULL;
  190. /* create all the DAG nodes */
  191. unsigned i,j,k;
  192. for (k = 0; k < nblocks; k++)
  193. {
  194. struct starpu_task *task = create_task_11_pivot(dataAp, nblocks, k, piv_description, get_block);
  195. /* we defer the launch of the first task */
  196. if (k == 0)
  197. {
  198. entry_task = task;
  199. }
  200. else
  201. {
  202. ret = starpu_task_submit(task);
  203. STARPU_CHECK_RETURN_VALUE(ret, "starpu_task_submit");
  204. }
  205. for (i = 0; i < nblocks; i++)
  206. {
  207. if (i != k)
  208. create_task_pivot(dataAp, nblocks, piv_description, k, i, get_block);
  209. }
  210. for (i = k+1; i<nblocks; i++)
  211. {
  212. create_task_12(dataAp, nblocks, k, i, get_block);
  213. create_task_21(dataAp, nblocks, k, i, get_block);
  214. }
  215. for (i = k+1; i<nblocks; i++)
  216. {
  217. for (j = k+1; j<nblocks; j++)
  218. {
  219. create_task_22(dataAp, nblocks, k, i, j, get_block);
  220. }
  221. }
  222. }
  223. /* we wait the last task (TAG11(nblocks - 1)) and all the pivot tasks */
  224. starpu_tag_t *tags = malloc(nblocks*nblocks*sizeof(starpu_tag_t));
  225. unsigned ndeps = 0;
  226. tags[ndeps++] = TAG11(nblocks - 1);
  227. for (j = 0; j < nblocks; j++)
  228. {
  229. for (i = 0; i < j; i++)
  230. {
  231. tags[ndeps++] = PIVOT(j, i);
  232. }
  233. }
  234. /* schedule the codelet */
  235. gettimeofday(&start, NULL);
  236. ret = starpu_task_submit(entry_task);
  237. if (STARPU_UNLIKELY(ret == -ENODEV))
  238. {
  239. FPRINTF(stderr, "No worker may execute this task\n");
  240. exit(-1);
  241. }
  242. /* stall the application until the end of computations */
  243. starpu_tag_wait_array(ndeps, tags);
  244. /* starpu_task_wait_for_all(); */
  245. gettimeofday(&end, NULL);
  246. double timing = (double)((end.tv_sec - start.tv_sec)*1000000 + (end.tv_usec - start.tv_usec));
  247. return timing;
  248. }
  249. starpu_data_handle_t get_block_with_striding(starpu_data_handle_t *dataAp,
  250. unsigned nblocks __attribute__((unused)), unsigned j, unsigned i)
  251. {
  252. /* we use filters */
  253. return starpu_data_get_sub_data(*dataAp, 2, j, i);
  254. }
  255. void STARPU_LU(lu_decomposition_pivot)(TYPE *matA, unsigned *ipiv, unsigned size, unsigned ld, unsigned nblocks)
  256. {
  257. starpu_data_handle_t dataA;
  258. /* monitor and partition the A matrix into blocks :
  259. * one block is now determined by 2 unsigned (i,j) */
  260. starpu_matrix_data_register(&dataA, 0, (uintptr_t)matA, ld, size, size, sizeof(TYPE));
  261. /* We already enforce deps by hand */
  262. starpu_data_set_sequential_consistency_flag(dataA, 0);
  263. struct starpu_data_filter f =
  264. {
  265. .filter_func = starpu_vertical_block_filter_func,
  266. .nchildren = nblocks
  267. };
  268. struct starpu_data_filter f2 =
  269. {
  270. .filter_func = starpu_block_filter_func,
  271. .nchildren = nblocks
  272. };
  273. starpu_data_map_filters(dataA, 2, &f, &f2);
  274. unsigned i;
  275. for (i = 0; i < size; i++)
  276. ipiv[i] = i;
  277. struct piv_s *piv_description = malloc(nblocks*sizeof(struct piv_s));
  278. unsigned block;
  279. for (block = 0; block < nblocks; block++)
  280. {
  281. piv_description[block].piv = ipiv;
  282. piv_description[block].first = block * (size / nblocks);
  283. piv_description[block].last = (block + 1) * (size / nblocks);
  284. }
  285. #if 0
  286. unsigned j;
  287. for (j = 0; j < nblocks; j++)
  288. for (i = 0; i < nblocks; i++)
  289. {
  290. printf("BLOCK %d %d %p\n", i, j, &matA[i*(size/nblocks) + j * (size/nblocks)*ld]);
  291. }
  292. #endif
  293. double timing;
  294. timing = dw_codelet_facto_pivot(&dataA, piv_description, nblocks, get_block_with_striding);
  295. FPRINTF(stderr, "Computation took (in ms)\n");
  296. FPRINTF(stderr, "%2.2f\n", timing/1000);
  297. unsigned n = starpu_matrix_get_nx(dataA);
  298. double flop = (2.0f*n*n*n)/3.0f;
  299. FPRINTF(stderr, "Synthetic GFlops : %2.2f\n", (flop/timing/1000.0f));
  300. /* gather all the data */
  301. starpu_data_unpartition(dataA, 0);
  302. }
  303. starpu_data_handle_t get_block_with_no_striding(starpu_data_handle_t *dataAp, unsigned nblocks, unsigned j, unsigned i)
  304. {
  305. /* dataAp is an array of data handle */
  306. return dataAp[i+j*nblocks];
  307. }
  308. void STARPU_LU(lu_decomposition_pivot_no_stride)(TYPE **matA, unsigned *ipiv, unsigned size, unsigned ld, unsigned nblocks)
  309. {
  310. starpu_data_handle_t *dataAp = malloc(nblocks*nblocks*sizeof(starpu_data_handle_t));
  311. /* monitor and partition the A matrix into blocks :
  312. * one block is now determined by 2 unsigned (i,j) */
  313. unsigned bi, bj;
  314. for (bj = 0; bj < nblocks; bj++)
  315. for (bi = 0; bi < nblocks; bi++)
  316. {
  317. starpu_matrix_data_register(&dataAp[bi+nblocks*bj], 0,
  318. (uintptr_t)matA[bi+nblocks*bj], size/nblocks,
  319. size/nblocks, size/nblocks, sizeof(TYPE));
  320. /* We already enforce deps by hand */
  321. starpu_data_set_sequential_consistency_flag(dataAp[bi+nblocks*bj], 0);
  322. }
  323. unsigned i;
  324. for (i = 0; i < size; i++)
  325. ipiv[i] = i;
  326. struct piv_s *piv_description = malloc(nblocks*sizeof(struct piv_s));
  327. unsigned block;
  328. for (block = 0; block < nblocks; block++)
  329. {
  330. piv_description[block].piv = ipiv;
  331. piv_description[block].first = block * (size / nblocks);
  332. piv_description[block].last = (block + 1) * (size / nblocks);
  333. }
  334. double timing;
  335. timing = dw_codelet_facto_pivot(dataAp, piv_description, nblocks, get_block_with_no_striding);
  336. FPRINTF(stderr, "Computation took (in ms)\n");
  337. FPRINTF(stderr, "%2.2f\n", timing/1000);
  338. unsigned n = starpu_matrix_get_nx(dataAp[0])*nblocks;
  339. double flop = (2.0f*n*n*n)/3.0f;
  340. FPRINTF(stderr, "Synthetic GFlops : %2.2f\n", (flop/timing/1000.0f));
  341. for (bj = 0; bj < nblocks; bj++)
  342. for (bi = 0; bi < nblocks; bi++)
  343. {
  344. starpu_data_unregister(dataAp[bi+nblocks*bj]);
  345. }
  346. }