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cholesky.c 8.6 kB

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  1. /*********************************************************************/
  2. /* Copyright 2009, 2010 The University of Texas at Austin. */
  3. /* All rights reserved. */
  4. /* */
  5. /* Redistribution and use in source and binary forms, with or */
  6. /* without modification, are permitted provided that the following */
  7. /* conditions are met: */
  8. /* */
  9. /* 1. Redistributions of source code must retain the above */
  10. /* copyright notice, this list of conditions and the following */
  11. /* disclaimer. */
  12. /* */
  13. /* 2. Redistributions in binary form must reproduce the above */
  14. /* copyright notice, this list of conditions and the following */
  15. /* disclaimer in the documentation and/or other materials */
  16. /* provided with the distribution. */
  17. /* */
  18. /* THIS SOFTWARE IS PROVIDED BY THE UNIVERSITY OF TEXAS AT */
  19. /* AUSTIN ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, */
  20. /* INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF */
  21. /* MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE */
  22. /* DISCLAIMED. IN NO EVENT SHALL THE UNIVERSITY OF TEXAS AT */
  23. /* AUSTIN OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, */
  24. /* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES */
  25. /* (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE */
  26. /* GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR */
  27. /* BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF */
  28. /* LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT */
  29. /* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT */
  30. /* OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE */
  31. /* POSSIBILITY OF SUCH DAMAGE. */
  32. /* */
  33. /* The views and conclusions contained in the software and */
  34. /* documentation are those of the authors and should not be */
  35. /* interpreted as representing official policies, either expressed */
  36. /* or implied, of The University of Texas at Austin. */
  37. /*********************************************************************/
  38. #include <stdio.h>
  39. #include <stdlib.h>
  40. #ifdef __CYGWIN32__
  41. #include <sys/time.h>
  42. #endif
  43. #include "common.h"
  44. double fabs(double);
  45. #undef POTRF
  46. #ifndef COMPLEX
  47. #ifdef XDOUBLE
  48. #define POTRF BLASFUNC(qpotrf)
  49. #define SYRK BLASFUNC(qsyrk)
  50. #elif defined(DOUBLE)
  51. #define POTRF BLASFUNC(dpotrf)
  52. #define SYRK BLASFUNC(dsyrk)
  53. #else
  54. #define POTRF BLASFUNC(spotrf)
  55. #define SYRK BLASFUNC(ssyrk)
  56. #endif
  57. #else
  58. #ifdef XDOUBLE
  59. #define POTRF BLASFUNC(xpotrf)
  60. #define SYRK BLASFUNC(xherk)
  61. #elif defined(DOUBLE)
  62. #define POTRF BLASFUNC(zpotrf)
  63. #define SYRK BLASFUNC(zherk)
  64. #else
  65. #define POTRF BLASFUNC(cpotrf)
  66. #define SYRK BLASFUNC(cherk)
  67. #endif
  68. #endif
  69. #if defined(__WIN32__) || defined(__WIN64__)
  70. int gettimeofday(struct timeval *tv, void *tz){
  71. FILETIME ft;
  72. unsigned __int64 tmpres = 0;
  73. static int tzflag;
  74. if (NULL != tv)
  75. {
  76. GetSystemTimeAsFileTime(&ft);
  77. tmpres |= ft.dwHighDateTime;
  78. tmpres <<= 32;
  79. tmpres |= ft.dwLowDateTime;
  80. /*converting file time to unix epoch*/
  81. tmpres /= 10; /*convert into microseconds*/
  82. tmpres -= DELTA_EPOCH_IN_MICROSECS;
  83. tv->tv_sec = (long)(tmpres / 1000000UL);
  84. tv->tv_usec = (long)(tmpres % 1000000UL);
  85. }
  86. return 0;
  87. }
  88. #endif
  89. static __inline double getmflops(int ratio, int m, double secs){
  90. double mm = (double)m;
  91. double mulflops, addflops;
  92. if (secs==0.) return 0.;
  93. mulflops = mm * (1./3. + mm * (1./2. + mm * 1./6.));
  94. addflops = 1./6. * mm * (mm * mm - 1);
  95. if (ratio == 1) {
  96. return (mulflops + addflops) / secs * 1.e-6;
  97. } else {
  98. return (2. * mulflops + 6. * addflops) / secs * 1.e-6;
  99. }
  100. }
  101. int MAIN__(int argc, char *argv[]){
  102. char *trans[] = {"T", "N"};
  103. char *uplo[] = {"U", "L"};
  104. FLOAT alpha[] = {1.0, 0.0};
  105. FLOAT beta [] = {0.0, 0.0};
  106. FLOAT *a, *b;
  107. blasint m, i, j, info, uplos;
  108. int from = 1;
  109. int to = 200;
  110. int step = 1;
  111. FLOAT maxerr;
  112. struct timeval start, stop;
  113. double time1;
  114. argc--;argv++;
  115. if (argc > 0) { from = atol(*argv); argc--; argv++;}
  116. if (argc > 0) { to = MAX(atol(*argv), from); argc--; argv++;}
  117. if (argc > 0) { step = atol(*argv); argc--; argv++;}
  118. fprintf(stderr, "From : %3d To : %3d Step = %3d\n", from, to, step);
  119. if (( a = (FLOAT *)malloc(sizeof(FLOAT) * to * to * COMPSIZE)) == NULL){
  120. fprintf(stderr,"Out of Memory!!\n");exit(1);
  121. }
  122. if (( b = (FLOAT *)malloc(sizeof(FLOAT) * to * to * COMPSIZE)) == NULL){
  123. fprintf(stderr,"Out of Memory!!\n");exit(1);
  124. }
  125. for(m = from; m <= to; m += step){
  126. fprintf(stderr, "M = %6d : ", (int)m);
  127. for (uplos = 0; uplos < 2; uplos ++) {
  128. #ifndef COMPLEX
  129. if (uplos & 1) {
  130. for (j = 0; j < m; j++) {
  131. for(i = 0; i < j; i++) a[i + j * m] = 0.;
  132. a[j + j * m] = ((double) rand() / (double) RAND_MAX) + 8.;
  133. for(i = j + 1; i < m; i++) a[i + j * m] = ((double) rand() / (double) RAND_MAX) - 0.5;
  134. }
  135. } else {
  136. for (j = 0; j < m; j++) {
  137. for(i = 0; i < j; i++) a[i + j * m] = ((double) rand() / (double) RAND_MAX) - 0.5;
  138. a[j + j * m] = ((double) rand() / (double) RAND_MAX) + 8.;
  139. for(i = j + 1; i < m; i++) a[i + j * m] = 0.;
  140. }
  141. }
  142. #else
  143. if (uplos & 1) {
  144. for (j = 0; j < m; j++) {
  145. for(i = 0; i < j; i++) {
  146. a[(i + j * m) * 2 + 0] = 0.;
  147. a[(i + j * m) * 2 + 1] = 0.;
  148. }
  149. a[(j + j * m) * 2 + 0] = ((double) rand() / (double) RAND_MAX) + 8.;
  150. a[(j + j * m) * 2 + 1] = 0.;
  151. for(i = j + 1; i < m; i++) {
  152. a[(i + j * m) * 2 + 0] = ((double) rand() / (double) RAND_MAX) - 0.5;
  153. a[(i + j * m) * 2 + 1] = ((double) rand() / (double) RAND_MAX) - 0.5;
  154. }
  155. }
  156. } else {
  157. for (j = 0; j < m; j++) {
  158. for(i = 0; i < j; i++) {
  159. a[(i + j * m) * 2 + 0] = ((double) rand() / (double) RAND_MAX) - 0.5;
  160. a[(i + j * m) * 2 + 1] = ((double) rand() / (double) RAND_MAX) - 0.5;
  161. }
  162. a[(j + j * m) * 2 + 0] = ((double) rand() / (double) RAND_MAX) + 8.;
  163. a[(j + j * m) * 2 + 1] = 0.;
  164. for(i = j + 1; i < m; i++) {
  165. a[(i + j * m) * 2 + 0] = 0.;
  166. a[(i + j * m) * 2 + 1] = 0.;
  167. }
  168. }
  169. }
  170. #endif
  171. SYRK(uplo[uplos], trans[uplos], &m, &m, alpha, a, &m, beta, b, &m);
  172. gettimeofday( &start, (struct timezone *)0);
  173. POTRF(uplo[uplos], &m, b, &m, &info);
  174. gettimeofday( &stop, (struct timezone *)0);
  175. if (info != 0) {
  176. fprintf(stderr, "Info = %d\n", info);
  177. exit(1);
  178. }
  179. time1 = (double)(stop.tv_sec - start.tv_sec) + (double)((stop.tv_usec - start.tv_usec)) * 1.e-6;
  180. maxerr = 0.;
  181. if (!(uplos & 1)) {
  182. for (j = 0; j < m; j++) {
  183. for(i = 0; i <= j; i++) {
  184. #ifndef COMPLEX
  185. if (maxerr < fabs(a[i + j * m] - b[i + j * m])) maxerr = fabs(a[i + j * m] - b[i + j * m]);
  186. #else
  187. if (maxerr < fabs(a[(i + j * m) * 2 + 0] - b[(i + j * m) * 2 + 0])) maxerr = fabs(a[(i + j * m) * 2 + 0] - b[(i + j * m) * 2 + 0]);
  188. if (maxerr < fabs(a[(i + j * m) * 2 + 1] - b[(i + j * m) * 2 + 1])) maxerr = fabs(a[(i + j * m) * 2 + 1] - b[(i + j * m) * 2 + 1]);
  189. #endif
  190. }
  191. }
  192. } else {
  193. for (j = 0; j < m; j++) {
  194. for(i = j; i < m; i++) {
  195. #ifndef COMPLEX
  196. if (maxerr < fabs(a[i + j * m] - b[i + j * m])) maxerr = fabs(a[i + j * m] - b[i + j * m]);
  197. #else
  198. if (maxerr < fabs(a[(i + j * m) * 2 + 0] - b[(i + j * m) * 2 + 0])) maxerr = fabs(a[(i + j * m) * 2 + 0] - b[(i + j * m) * 2 + 0]);
  199. if (maxerr < fabs(a[(i + j * m) * 2 + 1] - b[(i + j * m) * 2 + 1])) maxerr = fabs(a[(i + j * m) * 2 + 1] - b[(i + j * m) * 2 + 1]);
  200. #endif
  201. }
  202. }
  203. }
  204. fprintf(stderr,
  205. #ifdef XDOUBLE
  206. " %Le %10.3f MFlops", maxerr,
  207. #else
  208. " %e %10.3f MFlops", maxerr,
  209. #endif
  210. getmflops(COMPSIZE * COMPSIZE, m, time1));
  211. if (maxerr > 1.e-3) {
  212. fprintf(stderr, "Hmm, probably it has bug.\n");
  213. exit(1);
  214. }
  215. }
  216. fprintf(stderr, "\n");
  217. }
  218. return 0;
  219. }
  220. void main(int argc, char *argv[]) __attribute__((weak, alias("MAIN__")));

OpenBLAS is an optimized BLAS library based on GotoBLAS2 1.13 BSD version.