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trsm_kernel_LT.c 7.7 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 "common.h"
  39. static FLOAT dm1 = -1.;
  40. #ifdef CONJ
  41. #define GEMM_KERNEL GEMM_KERNEL_L
  42. #else
  43. #define GEMM_KERNEL GEMM_KERNEL_N
  44. #endif
  45. #if GEMM_DEFAULT_UNROLL_M == 1
  46. #define GEMM_UNROLL_M_SHIFT 0
  47. #endif
  48. #if GEMM_DEFAULT_UNROLL_M == 2
  49. #define GEMM_UNROLL_M_SHIFT 1
  50. #endif
  51. #if GEMM_DEFAULT_UNROLL_M == 4
  52. #define GEMM_UNROLL_M_SHIFT 2
  53. #endif
  54. #if GEMM_DEFAULT_UNROLL_M == 6
  55. #define GEMM_UNROLL_M_SHIFT 2
  56. #endif
  57. #if GEMM_DEFAULT_UNROLL_M == 8
  58. #define GEMM_UNROLL_M_SHIFT 3
  59. #endif
  60. #if GEMM_DEFAULT_UNROLL_M == 16
  61. #define GEMM_UNROLL_M_SHIFT 4
  62. #endif
  63. #if GEMM_DEFAULT_UNROLL_N == 1
  64. #define GEMM_UNROLL_N_SHIFT 0
  65. #endif
  66. #if GEMM_DEFAULT_UNROLL_N == 2
  67. #define GEMM_UNROLL_N_SHIFT 1
  68. #endif
  69. #if GEMM_DEFAULT_UNROLL_N == 4
  70. #define GEMM_UNROLL_N_SHIFT 2
  71. #endif
  72. #if GEMM_DEFAULT_UNROLL_N == 8
  73. #define GEMM_UNROLL_N_SHIFT 3
  74. #endif
  75. #if GEMM_DEFAULT_UNROLL_N == 16
  76. #define GEMM_UNROLL_N_SHIFT 4
  77. #endif
  78. #ifndef COMPLEX
  79. static inline void solve(BLASLONG m, BLASLONG n, FLOAT *a, FLOAT *b, FLOAT *c, BLASLONG ldc) {
  80. FLOAT aa, bb;
  81. int i, j, k;
  82. for (i = 0; i < m; i++) {
  83. aa = *(a + i);
  84. for (j = 0; j < n; j ++) {
  85. bb = *(c + i + j * ldc);
  86. bb *= aa;
  87. *b = bb;
  88. *(c + i + j * ldc) = bb;
  89. b ++;
  90. for (k = i + 1; k < m; k ++){
  91. *(c + k + j * ldc) -= bb * *(a + k);
  92. }
  93. }
  94. a += m;
  95. }
  96. }
  97. #else
  98. static inline void solve(BLASLONG m, BLASLONG n, FLOAT *a, FLOAT *b, FLOAT *c, BLASLONG ldc) {
  99. FLOAT aa1, aa2;
  100. FLOAT bb1, bb2;
  101. FLOAT cc1, cc2;
  102. int i, j, k;
  103. ldc *= 2;
  104. for (i = 0; i < m; i++) {
  105. aa1 = *(a + i * 2 + 0);
  106. aa2 = *(a + i * 2 + 1);
  107. for (j = 0; j < n; j ++) {
  108. bb1 = *(c + i * 2 + 0 + j * ldc);
  109. bb2 = *(c + i * 2 + 1 + j * ldc);
  110. #ifndef CONJ
  111. cc1 = aa1 * bb1 - aa2 * bb2;
  112. cc2 = aa1 * bb2 + aa2 * bb1;
  113. #else
  114. cc1 = aa1 * bb1 + aa2 * bb2;
  115. cc2 = aa1 * bb2 - aa2 * bb1;
  116. #endif
  117. *(b + 0) = cc1;
  118. *(b + 1) = cc2;
  119. *(c + i * 2 + 0 + j * ldc) = cc1;
  120. *(c + i * 2 + 1 + j * ldc) = cc2;
  121. b += 2;
  122. for (k = i + 1; k < m; k ++){
  123. #ifndef CONJ
  124. *(c + k * 2 + 0 + j * ldc) -= cc1 * *(a + k * 2 + 0) - cc2 * *(a + k * 2 + 1);
  125. *(c + k * 2 + 1 + j * ldc) -= cc1 * *(a + k * 2 + 1) + cc2 * *(a + k * 2 + 0);
  126. #else
  127. *(c + k * 2 + 0 + j * ldc) -= cc1 * *(a + k * 2 + 0) + cc2 * *(a + k * 2 + 1);
  128. *(c + k * 2 + 1 + j * ldc) -= -cc1 * *(a + k * 2 + 1) + cc2 * *(a + k * 2 + 0);
  129. #endif
  130. }
  131. }
  132. a += m * 2;
  133. }
  134. }
  135. #endif
  136. int CNAME(BLASLONG m, BLASLONG n, BLASLONG k, FLOAT dummy1,
  137. #ifdef COMPLEX
  138. FLOAT dummy2,
  139. #endif
  140. FLOAT *a, FLOAT *b, FLOAT *c, BLASLONG ldc, BLASLONG offset){
  141. FLOAT *aa, *cc;
  142. BLASLONG kk;
  143. BLASLONG i, j, jj;
  144. #if 0
  145. fprintf(stderr, "TRSM KERNEL LT : m = %3ld n = %3ld k = %3ld offset = %3ld\n",
  146. m, n, k, offset);
  147. #endif
  148. jj = 0;
  149. j = (n >> GEMM_UNROLL_N_SHIFT);
  150. while (j > 0) {
  151. kk = offset;
  152. aa = a;
  153. cc = c;
  154. i = (m >> GEMM_UNROLL_M_SHIFT);
  155. while (i > 0) {
  156. if (kk > 0) {
  157. GEMM_KERNEL(GEMM_UNROLL_M, GEMM_UNROLL_N, kk, dm1,
  158. #ifdef COMPLEX
  159. ZERO,
  160. #endif
  161. aa, b, cc, ldc);
  162. }
  163. solve(GEMM_UNROLL_M, GEMM_UNROLL_N,
  164. aa + kk * GEMM_UNROLL_M * COMPSIZE,
  165. b + kk * GEMM_UNROLL_N * COMPSIZE,
  166. cc, ldc);
  167. aa += GEMM_UNROLL_M * k * COMPSIZE;
  168. cc += GEMM_UNROLL_M * COMPSIZE;
  169. kk += GEMM_UNROLL_M;
  170. i --;
  171. }
  172. if (m & (GEMM_UNROLL_M - 1)) {
  173. i = (GEMM_UNROLL_M >> 1);
  174. while (i > 0) {
  175. if (m & i) {
  176. if (kk > 0) {
  177. GEMM_KERNEL(i, GEMM_UNROLL_N, kk, dm1,
  178. #ifdef COMPLEX
  179. ZERO,
  180. #endif
  181. aa, b, cc, ldc);
  182. }
  183. solve(i, GEMM_UNROLL_N,
  184. aa + kk * i * COMPSIZE,
  185. b + kk * GEMM_UNROLL_N * COMPSIZE,
  186. cc, ldc);
  187. aa += i * k * COMPSIZE;
  188. cc += i * COMPSIZE;
  189. kk += i;
  190. }
  191. i >>= 1;
  192. }
  193. }
  194. b += GEMM_UNROLL_N * k * COMPSIZE;
  195. c += GEMM_UNROLL_N * ldc * COMPSIZE;
  196. j --;
  197. jj += GEMM_UNROLL_M;
  198. }
  199. if (n & (GEMM_UNROLL_N - 1)) {
  200. j = (GEMM_UNROLL_N >> 1);
  201. while (j > 0) {
  202. if (n & j) {
  203. kk = offset;
  204. aa = a;
  205. cc = c;
  206. i = (m >> GEMM_UNROLL_M_SHIFT);
  207. while (i > 0) {
  208. if (kk > 0) {
  209. GEMM_KERNEL(GEMM_UNROLL_M, j, kk, dm1,
  210. #ifdef COMPLEX
  211. ZERO,
  212. #endif
  213. aa,
  214. b,
  215. cc,
  216. ldc);
  217. }
  218. solve(GEMM_UNROLL_M, j,
  219. aa + kk * GEMM_UNROLL_M * COMPSIZE,
  220. b + kk * j * COMPSIZE, cc, ldc);
  221. aa += GEMM_UNROLL_M * k * COMPSIZE;
  222. cc += GEMM_UNROLL_M * COMPSIZE;
  223. kk += GEMM_UNROLL_M;
  224. i --;
  225. }
  226. if (m & (GEMM_UNROLL_M - 1)) {
  227. i = (GEMM_UNROLL_M >> 1);
  228. while (i > 0) {
  229. if (m & i) {
  230. if (kk > 0) {
  231. GEMM_KERNEL(i, j, kk, dm1,
  232. #ifdef COMPLEX
  233. ZERO,
  234. #endif
  235. aa,
  236. b,
  237. cc,
  238. ldc);
  239. }
  240. solve(i, j,
  241. aa + kk * i * COMPSIZE,
  242. b + kk * j * COMPSIZE, cc, ldc);
  243. aa += i * k * COMPSIZE;
  244. cc += i * COMPSIZE;
  245. kk += i;
  246. }
  247. i >>= 1;
  248. }
  249. }
  250. b += j * k * COMPSIZE;
  251. c += j * ldc * COMPSIZE;
  252. }
  253. j >>= 1;
  254. }
  255. }
  256. return 0;
  257. }