xlu_pivot.c 11 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. struct starpu_task *task = create_task(PIVOT(k, i));
  47. task->cl = &cl_pivot;
  48. /* which sub-data is manipulated ? */
  49. task->handles[0] = get_block(dataAp, nblocks, k, i);
  50. task->cl_arg = &piv_description[k];
  51. /* this is an important task */
  52. if (!no_prio && (i == k+1))
  53. task->priority = STARPU_MAX_PRIO;
  54. /* enforce dependencies ... */
  55. if (k == 0)
  56. {
  57. starpu_tag_declare_deps(PIVOT(k, i), 1, TAG11(k));
  58. }
  59. else
  60. {
  61. if (i > k)
  62. {
  63. starpu_tag_declare_deps(PIVOT(k, i), 2, TAG11(k), TAG22(k-1, i, k));
  64. }
  65. else
  66. {
  67. starpu_tag_t *tags = malloc((nblocks - k)*sizeof(starpu_tag_t));
  68. tags[0] = TAG11(k);
  69. unsigned ind, ind2;
  70. for (ind = k + 1, ind2 = 0; ind < nblocks; ind++, ind2++)
  71. {
  72. tags[1 + ind2] = TAG22(k-1, ind, k);
  73. }
  74. /* perhaps we could do better ... :/ */
  75. starpu_tag_declare_deps_array(PIVOT(k, i), (nblocks-k), tags);
  76. }
  77. }
  78. starpu_task_submit(task);
  79. }
  80. static struct starpu_task *create_task_11_pivot(starpu_data_handle_t *dataAp, unsigned nblocks,
  81. unsigned k, struct piv_s *piv_description,
  82. starpu_data_handle_t (* get_block)(starpu_data_handle_t *, unsigned, unsigned, unsigned))
  83. {
  84. struct starpu_task *task = create_task(TAG11(k));
  85. task->cl = &cl11_pivot;
  86. task->cl_arg = &piv_description[k];
  87. /* which sub-data is manipulated ? */
  88. task->handles[0] = get_block(dataAp, nblocks, k, k);
  89. /* this is an important task */
  90. if (!no_prio)
  91. task->priority = STARPU_MAX_PRIO;
  92. /* enforce dependencies ... */
  93. if (k > 0)
  94. {
  95. starpu_tag_declare_deps(TAG11(k), 1, TAG22(k-1, k, k));
  96. }
  97. return task;
  98. }
  99. static void create_task_12(starpu_data_handle_t *dataAp, unsigned nblocks, unsigned k, unsigned j,
  100. starpu_data_handle_t (* get_block)(starpu_data_handle_t *, unsigned, unsigned, unsigned))
  101. {
  102. /* printf("task 12 k,i = %d,%d TAG = %llx\n", k,i, TAG12(k,i)); */
  103. struct starpu_task *task = create_task(TAG12(k, j));
  104. task->cl = &cl12;
  105. task->cl_arg = (void *)(task->tag_id);
  106. /* which sub-data is manipulated ? */
  107. task->handles[0] = get_block(dataAp, nblocks, k, k);
  108. task->handles[1] = get_block(dataAp, nblocks, j, k);
  109. if (!no_prio && (j == k+1))
  110. {
  111. task->priority = STARPU_MAX_PRIO;
  112. }
  113. /* enforce dependencies ... */
  114. #if 0
  115. starpu_tag_declare_deps(TAG12(k, i), 1, PIVOT(k, i));
  116. #endif
  117. if (k > 0)
  118. {
  119. starpu_tag_declare_deps(TAG12(k, j), 2, TAG11(k), TAG22(k-1, k, j));
  120. }
  121. else
  122. {
  123. starpu_tag_declare_deps(TAG12(k, j), 1, TAG11(k));
  124. }
  125. starpu_task_submit(task);
  126. }
  127. static void create_task_21(starpu_data_handle_t *dataAp, unsigned nblocks, unsigned k, unsigned i,
  128. starpu_data_handle_t (* get_block)(starpu_data_handle_t *, unsigned, unsigned, unsigned))
  129. {
  130. struct starpu_task *task = create_task(TAG21(k, i));
  131. task->cl = &cl21;
  132. /* which sub-data is manipulated ? */
  133. task->handles[0] = get_block(dataAp, nblocks, k, k);
  134. task->handles[1] = get_block(dataAp, nblocks, k, i);
  135. if (!no_prio && (i == k+1))
  136. {
  137. task->priority = STARPU_MAX_PRIO;
  138. }
  139. task->cl_arg = (void *)(task->tag_id);
  140. /* enforce dependencies ... */
  141. starpu_tag_declare_deps(TAG21(k, i), 1, PIVOT(k, i));
  142. starpu_task_submit(task);
  143. }
  144. static void create_task_22(starpu_data_handle_t *dataAp, unsigned nblocks, unsigned k, unsigned i, unsigned j,
  145. starpu_data_handle_t (* get_block)(starpu_data_handle_t *, unsigned, unsigned, unsigned))
  146. {
  147. /* printf("task 22 k,i,j = %d,%d,%d TAG = %llx\n", k,i,j, TAG22(k,i,j)); */
  148. struct starpu_task *task = create_task(TAG22(k, i, j));
  149. task->cl = &cl22;
  150. task->cl_arg = (void *)(task->tag_id);
  151. /* which sub-data is manipulated ? */
  152. task->handles[0] = get_block(dataAp, nblocks, k, i); /* produced by TAG21(k, i) */
  153. task->handles[1] = get_block(dataAp, nblocks, j, k); /* produced by TAG12(k, j) */
  154. task->handles[2] = get_block(dataAp, nblocks, j, i); /* produced by TAG22(k-1, i, j) */
  155. if (!no_prio && (i == k + 1) && (j == k +1) )
  156. {
  157. task->priority = STARPU_MAX_PRIO;
  158. }
  159. /* enforce dependencies ... */
  160. if (k > 0)
  161. {
  162. starpu_tag_declare_deps(TAG22(k, i, j), 3, TAG22(k-1, i, j), TAG12(k, j), TAG21(k, i));
  163. }
  164. else
  165. {
  166. starpu_tag_declare_deps(TAG22(k, i, j), 2, TAG12(k, j), TAG21(k, i));
  167. }
  168. starpu_task_submit(task);
  169. }
  170. /*
  171. * code to bootstrap the factorization
  172. */
  173. static double dw_codelet_facto_pivot(starpu_data_handle_t *dataAp,
  174. struct piv_s *piv_description,
  175. unsigned nblocks,
  176. starpu_data_handle_t (* get_block)(starpu_data_handle_t *, unsigned, unsigned, unsigned))
  177. {
  178. struct timeval start;
  179. struct timeval end;
  180. struct starpu_task *entry_task = NULL;
  181. /* create all the DAG nodes */
  182. unsigned i,j,k;
  183. for (k = 0; k < nblocks; k++)
  184. {
  185. struct starpu_task *task = create_task_11_pivot(dataAp, nblocks, k, piv_description, get_block);
  186. /* we defer the launch of the first task */
  187. if (k == 0)
  188. {
  189. entry_task = task;
  190. }
  191. else
  192. {
  193. starpu_task_submit(task);
  194. }
  195. for (i = 0; i < nblocks; i++)
  196. {
  197. if (i != k)
  198. create_task_pivot(dataAp, nblocks, piv_description, k, i, get_block);
  199. }
  200. for (i = k+1; i<nblocks; i++)
  201. {
  202. create_task_12(dataAp, nblocks, k, i, get_block);
  203. create_task_21(dataAp, nblocks, k, i, get_block);
  204. }
  205. for (i = k+1; i<nblocks; i++)
  206. {
  207. for (j = k+1; j<nblocks; j++)
  208. {
  209. create_task_22(dataAp, nblocks, k, i, j, get_block);
  210. }
  211. }
  212. }
  213. /* we wait the last task (TAG11(nblocks - 1)) and all the pivot tasks */
  214. starpu_tag_t *tags = malloc(nblocks*nblocks*sizeof(starpu_tag_t));
  215. unsigned ndeps = 0;
  216. tags[ndeps++] = TAG11(nblocks - 1);
  217. for (j = 0; j < nblocks; j++)
  218. {
  219. for (i = 0; i < j; i++)
  220. {
  221. tags[ndeps++] = PIVOT(j, i);
  222. }
  223. }
  224. /* schedule the codelet */
  225. gettimeofday(&start, NULL);
  226. int ret = starpu_task_submit(entry_task);
  227. if (STARPU_UNLIKELY(ret == -ENODEV))
  228. {
  229. FPRINTF(stderr, "No worker may execute this task\n");
  230. exit(-1);
  231. }
  232. /* stall the application until the end of computations */
  233. starpu_tag_wait_array(ndeps, tags);
  234. /* starpu_task_wait_for_all(); */
  235. gettimeofday(&end, NULL);
  236. double timing = (double)((end.tv_sec - start.tv_sec)*1000000 + (end.tv_usec - start.tv_usec));
  237. return timing;
  238. }
  239. starpu_data_handle_t get_block_with_striding(starpu_data_handle_t *dataAp,
  240. unsigned nblocks __attribute__((unused)), unsigned j, unsigned i)
  241. {
  242. /* we use filters */
  243. return starpu_data_get_sub_data(*dataAp, 2, j, i);
  244. }
  245. void STARPU_LU(lu_decomposition_pivot)(TYPE *matA, unsigned *ipiv, unsigned size, unsigned ld, unsigned nblocks)
  246. {
  247. starpu_data_handle_t dataA;
  248. /* monitor and partition the A matrix into blocks :
  249. * one block is now determined by 2 unsigned (i,j) */
  250. starpu_matrix_data_register(&dataA, 0, (uintptr_t)matA, ld, size, size, sizeof(TYPE));
  251. /* We already enforce deps by hand */
  252. starpu_data_set_sequential_consistency_flag(dataA, 0);
  253. struct starpu_data_filter f =
  254. {
  255. .filter_func = starpu_vertical_block_filter_func,
  256. .nchildren = nblocks
  257. };
  258. struct starpu_data_filter f2 =
  259. {
  260. .filter_func = starpu_block_filter_func,
  261. .nchildren = nblocks
  262. };
  263. starpu_data_map_filters(dataA, 2, &f, &f2);
  264. unsigned i;
  265. for (i = 0; i < size; i++)
  266. ipiv[i] = i;
  267. struct piv_s *piv_description = malloc(nblocks*sizeof(struct piv_s));
  268. unsigned block;
  269. for (block = 0; block < nblocks; block++)
  270. {
  271. piv_description[block].piv = ipiv;
  272. piv_description[block].first = block * (size / nblocks);
  273. piv_description[block].last = (block + 1) * (size / nblocks);
  274. }
  275. #if 0
  276. unsigned j;
  277. for (j = 0; j < nblocks; j++)
  278. for (i = 0; i < nblocks; i++)
  279. {
  280. printf("BLOCK %d %d %p\n", i, j, &matA[i*(size/nblocks) + j * (size/nblocks)*ld]);
  281. }
  282. #endif
  283. double timing;
  284. timing = dw_codelet_facto_pivot(&dataA, piv_description, nblocks, get_block_with_striding);
  285. FPRINTF(stderr, "Computation took (in ms)\n");
  286. FPRINTF(stderr, "%2.2f\n", timing/1000);
  287. unsigned n = starpu_matrix_get_nx(dataA);
  288. double flop = (2.0f*n*n*n)/3.0f;
  289. FPRINTF(stderr, "Synthetic GFlops : %2.2f\n", (flop/timing/1000.0f));
  290. /* gather all the data */
  291. starpu_data_unpartition(dataA, 0);
  292. }
  293. starpu_data_handle_t get_block_with_no_striding(starpu_data_handle_t *dataAp, unsigned nblocks, unsigned j, unsigned i)
  294. {
  295. /* dataAp is an array of data handle */
  296. return dataAp[i+j*nblocks];
  297. }
  298. void STARPU_LU(lu_decomposition_pivot_no_stride)(TYPE **matA, unsigned *ipiv, unsigned size, unsigned ld, unsigned nblocks)
  299. {
  300. starpu_data_handle_t *dataAp = malloc(nblocks*nblocks*sizeof(starpu_data_handle_t));
  301. /* monitor and partition the A matrix into blocks :
  302. * one block is now determined by 2 unsigned (i,j) */
  303. unsigned bi, bj;
  304. for (bj = 0; bj < nblocks; bj++)
  305. for (bi = 0; bi < nblocks; bi++)
  306. {
  307. starpu_matrix_data_register(&dataAp[bi+nblocks*bj], 0,
  308. (uintptr_t)matA[bi+nblocks*bj], size/nblocks,
  309. size/nblocks, size/nblocks, sizeof(TYPE));
  310. /* We already enforce deps by hand */
  311. starpu_data_set_sequential_consistency_flag(dataAp[bi+nblocks*bj], 0);
  312. }
  313. unsigned i;
  314. for (i = 0; i < size; i++)
  315. ipiv[i] = i;
  316. struct piv_s *piv_description = malloc(nblocks*sizeof(struct piv_s));
  317. unsigned block;
  318. for (block = 0; block < nblocks; block++)
  319. {
  320. piv_description[block].piv = ipiv;
  321. piv_description[block].first = block * (size / nblocks);
  322. piv_description[block].last = (block + 1) * (size / nblocks);
  323. }
  324. double timing;
  325. timing = dw_codelet_facto_pivot(dataAp, piv_description, nblocks, get_block_with_no_striding);
  326. FPRINTF(stderr, "Computation took (in ms)\n");
  327. FPRINTF(stderr, "%2.2f\n", timing/1000);
  328. unsigned n = starpu_matrix_get_nx(dataAp[0])*nblocks;
  329. double flop = (2.0f*n*n*n)/3.0f;
  330. FPRINTF(stderr, "Synthetic GFlops : %2.2f\n", (flop/timing/1000.0f));
  331. for (bj = 0; bj < nblocks; bj++)
  332. for (bi = 0; bi < nblocks; bi++)
  333. {
  334. starpu_data_unregister(dataAp[bi+nblocks*bj]);
  335. }
  336. }