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zgemv_t_4.c 27 kB

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  1. /***************************************************************************
  2. Copyright (c) 2018, The OpenBLAS Project
  3. All rights reserved.
  4. Redistribution and use in source and binary forms, with or without
  5. modification, are permitted provided that the following conditions are
  6. met:
  7. 1. Redistributions of source code must retain the above copyright
  8. notice, this list of conditions and the following disclaimer.
  9. 2. Redistributions in binary form must reproduce the above copyright
  10. notice, this list of conditions and the following disclaimer in
  11. the documentation and/or other materials provided with the
  12. distribution.
  13. 3. Neither the name of the OpenBLAS project nor the names of
  14. its contributors may be used to endorse or promote products
  15. derived from this software without specific prior written permission.
  16. THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
  17. AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
  18. IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
  19. ARE DISCLAIMED. IN NO EVENT SHALL THE OPENBLAS PROJECT OR CONTRIBUTORS BE
  20. LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
  21. DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
  22. SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
  23. CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
  24. OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE
  25. USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
  26. *****************************************************************************/
  27. #include "common.h"
  28. #define NBMAX 4096
  29. #define HAVE_KERNEL_4x4_VEC 1
  30. #define HAVE_KERNEL_4x2_VEC 1
  31. #define HAVE_KERNEL_4x1_VEC 1
  32. #if defined(HAVE_KERNEL_4x4_VEC) || defined(HAVE_KERNEL_4x2_VEC) || defined(HAVE_KERNEL_4x1_VEC)
  33. #include <altivec.h>
  34. #endif
  35. #ifdef HAVE_KERNEL_4x4_VEC_ASM
  36. #elif HAVE_KERNEL_4x4_VEC
  37. static void zgemv_kernel_4x4(BLASLONG n, BLASLONG lda, FLOAT *ap, FLOAT *x, FLOAT *y, FLOAT alpha_r, FLOAT alpha_i) {
  38. BLASLONG i;
  39. FLOAT *a0, *a1, *a2, *a3;
  40. a0 = ap;
  41. a1 = ap + lda;
  42. a2 = a1 + lda;
  43. a3 = a2 + lda;
  44. //p for positive(real*real,image*image) r for image (real*image,image*real)
  45. register __vector double vtemp0_p = {0.0, 0.0};
  46. register __vector double vtemp0_r = {0.0, 0.0};
  47. register __vector double vtemp1_p = {0.0, 0.0};
  48. register __vector double vtemp1_r = {0.0, 0.0};
  49. register __vector double vtemp2_p = {0.0, 0.0};
  50. register __vector double vtemp2_r = {0.0, 0.0};
  51. register __vector double vtemp3_p = {0.0, 0.0};
  52. register __vector double vtemp3_r = {0.0, 0.0};
  53. i = 0;
  54. n = n << 1;
  55. while (i < n) {
  56. // __builtin_prefetch(&x[i]);
  57. // __builtin_prefetch(&a0[i]);
  58. // __builtin_prefetch(&a1[i]);
  59. // __builtin_prefetch(&a2[i]);
  60. // __builtin_prefetch(&a3[i]);
  61. register __vector double vx_0 = *(__vector double*) (&x[i]);
  62. register __vector double vx_1 = *(__vector double*) (&x[i + 2]);
  63. register __vector double vx_2 = *(__vector double*) (&x[i + 4]);
  64. register __vector double vx_3 = *(__vector double*) (&x[i + 6]);
  65. register __vector double va0 = *(__vector double*) (&a0[i]);
  66. register __vector double va0_1 = *(__vector double*) (&a0[i + 2]);
  67. register __vector double va0_2 = *(__vector double*) (&a0[i + 4]);
  68. register __vector double va0_3 = *(__vector double*) (&a0[i + 6]);
  69. register __vector double va1 = *(__vector double*) (&a1[i]);
  70. register __vector double va1_1 = *(__vector double*) (&a1[i + 2]);
  71. register __vector double va1_2 = *(__vector double*) (&a1[i + 4]);
  72. register __vector double va1_3 = *(__vector double*) (&a1[i + 6]);
  73. register __vector double va2 = *(__vector double*) (&a2[i]);
  74. register __vector double va2_1 = *(__vector double*) (&a2[i + 2]);
  75. register __vector double va2_2 = *(__vector double*) (&a2[i + 4]);
  76. register __vector double va2_3 = *(__vector double*) (&a2[i + 6]);
  77. register __vector double va3 = *(__vector double*) (&a3[i]);
  78. register __vector double va3_1 = *(__vector double*) (&a3[i + 2]);
  79. register __vector double va3_2 = *(__vector double*) (&a3[i + 4]);
  80. register __vector double va3_3 = *(__vector double*) (&a3[i + 6]);
  81. register __vector double vxr_0 = vec_xxpermdi(vx_0, vx_0, 2);
  82. register __vector double vxr_1 = vec_xxpermdi(vx_1, vx_1, 2);
  83. i += 8;
  84. vtemp0_p += vx_0*va0;
  85. vtemp0_r += vxr_0*va0;
  86. vtemp1_p += vx_0*va1;
  87. vtemp1_r += vxr_0*va1;
  88. vtemp2_p += vx_0*va2;
  89. vtemp2_r += vxr_0*va2;
  90. vtemp3_p += vx_0*va3;
  91. vtemp3_r += vxr_0*va3;
  92. vtemp0_p += vx_1*va0_1;
  93. vtemp0_r += vxr_1*va0_1;
  94. vtemp1_p += vx_1*va1_1;
  95. vtemp1_r += vxr_1*va1_1;
  96. vxr_0 = vec_xxpermdi(vx_2, vx_2, 2);
  97. vtemp2_p += vx_1*va2_1;
  98. vtemp2_r += vxr_1*va2_1;
  99. vtemp3_p += vx_1*va3_1;
  100. vtemp3_r += vxr_1*va3_1;
  101. vtemp0_p += vx_2*va0_2;
  102. vtemp0_r += vxr_0*va0_2;
  103. vxr_1 = vec_xxpermdi(vx_3, vx_3, 2);
  104. vtemp1_p += vx_2*va1_2;
  105. vtemp1_r += vxr_0*va1_2;
  106. vtemp2_p += vx_2*va2_2;
  107. vtemp2_r += vxr_0*va2_2;
  108. vtemp3_p += vx_2*va3_2;
  109. vtemp3_r += vxr_0*va3_2;
  110. vtemp0_p += vx_3*va0_3;
  111. vtemp0_r += vxr_1*va0_3;
  112. vtemp1_p += vx_3*va1_3;
  113. vtemp1_r += vxr_1*va1_3;
  114. vtemp2_p += vx_3*va2_3;
  115. vtemp2_r += vxr_1*va2_3;
  116. vtemp3_p += vx_3*va3_3;
  117. vtemp3_r += vxr_1*va3_3;
  118. }
  119. #if ( !defined(CONJ) && !defined(XCONJ) ) || ( defined(CONJ) && defined(XCONJ) )
  120. register FLOAT temp_r0 = vtemp0_p[0] - vtemp0_p[1];
  121. register FLOAT temp_i0 = vtemp0_r[0] + vtemp0_r[1];
  122. register FLOAT temp_r1 = vtemp1_p[0] - vtemp1_p[1];
  123. register FLOAT temp_i1 = vtemp1_r[0] + vtemp1_r[1];
  124. register FLOAT temp_r2 = vtemp2_p[0] - vtemp2_p[1];
  125. register FLOAT temp_i2 = vtemp2_r[0] + vtemp2_r[1];
  126. register FLOAT temp_r3 = vtemp3_p[0] - vtemp3_p[1];
  127. register FLOAT temp_i3 = vtemp3_r[0] + vtemp3_r[1];
  128. #else
  129. register FLOAT temp_r0 = vtemp0_p[0] + vtemp0_p[1];
  130. register FLOAT temp_i0 = vtemp0_r[0] - vtemp0_r[1];
  131. register FLOAT temp_r1 = vtemp1_p[0] + vtemp1_p[1];
  132. register FLOAT temp_i1 = vtemp1_r[0] - vtemp1_r[1];
  133. register FLOAT temp_r2 = vtemp2_p[0] + vtemp2_p[1];
  134. register FLOAT temp_i2 = vtemp2_r[0] - vtemp2_r[1];
  135. register FLOAT temp_r3 = vtemp3_p[0] + vtemp3_p[1];
  136. register FLOAT temp_i3 = vtemp3_r[0] - vtemp3_r[1];
  137. #endif
  138. #if !defined(XCONJ)
  139. y[0] += alpha_r * temp_r0 - alpha_i * temp_i0;
  140. y[1] += alpha_r * temp_i0 + alpha_i * temp_r0;
  141. y[2] += alpha_r * temp_r1 - alpha_i * temp_i1;
  142. y[3] += alpha_r * temp_i1 + alpha_i * temp_r1;
  143. y[4] += alpha_r * temp_r2 - alpha_i * temp_i2;
  144. y[5] += alpha_r * temp_i2 + alpha_i * temp_r2;
  145. y[6] += alpha_r * temp_r3 - alpha_i * temp_i3;
  146. y[7] += alpha_r * temp_i3 + alpha_i * temp_r3;
  147. #else
  148. y[0] += alpha_r * temp_r0 + alpha_i * temp_i0;
  149. y[1] -= alpha_r * temp_i0 - alpha_i * temp_r0;
  150. y[2] += alpha_r * temp_r1 + alpha_i * temp_i1;
  151. y[3] -= alpha_r * temp_i1 - alpha_i * temp_r1;
  152. y[4] += alpha_r * temp_r2 + alpha_i * temp_i2;
  153. y[5] -= alpha_r * temp_i2 - alpha_i * temp_r2;
  154. y[6] += alpha_r * temp_r3 + alpha_i * temp_i3;
  155. y[7] -= alpha_r * temp_i3 - alpha_i * temp_r3;
  156. #endif
  157. }
  158. #else
  159. static void zgemv_kernel_4x4(BLASLONG n, BLASLONG lda, FLOAT *ap, FLOAT *x, FLOAT *y, FLOAT alpha_r, FLOAT alpha_i) {
  160. BLASLONG i;
  161. FLOAT *a0, *a1, *a2, *a3;
  162. a0 = ap;
  163. a1 = ap + lda;
  164. a2 = a1 + lda;
  165. a3 = a2 + lda;
  166. FLOAT temp_r0 = 0.0;
  167. FLOAT temp_r1 = 0.0;
  168. FLOAT temp_r2 = 0.0;
  169. FLOAT temp_r3 = 0.0;
  170. FLOAT temp_i0 = 0.0;
  171. FLOAT temp_i1 = 0.0;
  172. FLOAT temp_i2 = 0.0;
  173. FLOAT temp_i3 = 0.0;
  174. for (i = 0; i < 2 * n; i += 2) {
  175. #if ( !defined(CONJ) && !defined(XCONJ) ) || ( defined(CONJ) && defined(XCONJ) )
  176. temp_r0 += a0[i] * x[i] - a0[i + 1] * x[i + 1];
  177. temp_i0 += a0[i] * x[i + 1] + a0[i + 1] * x[i];
  178. temp_r1 += a1[i] * x[i] - a1[i + 1] * x[i + 1];
  179. temp_i1 += a1[i] * x[i + 1] + a1[i + 1] * x[i];
  180. temp_r2 += a2[i] * x[i] - a2[i + 1] * x[i + 1];
  181. temp_i2 += a2[i] * x[i + 1] + a2[i + 1] * x[i];
  182. temp_r3 += a3[i] * x[i] - a3[i + 1] * x[i + 1];
  183. temp_i3 += a3[i] * x[i + 1] + a3[i + 1] * x[i];
  184. #else
  185. temp_r0 += a0[i] * x[i] + a0[i + 1] * x[i + 1];
  186. temp_i0 += a0[i] * x[i + 1] - a0[i + 1] * x[i];
  187. temp_r1 += a1[i] * x[i] + a1[i + 1] * x[i + 1];
  188. temp_i1 += a1[i] * x[i + 1] - a1[i + 1] * x[i];
  189. temp_r2 += a2[i] * x[i] + a2[i + 1] * x[i + 1];
  190. temp_i2 += a2[i] * x[i + 1] - a2[i + 1] * x[i];
  191. temp_r3 += a3[i] * x[i] + a3[i + 1] * x[i + 1];
  192. temp_i3 += a3[i] * x[i + 1] - a3[i + 1] * x[i];
  193. #endif
  194. }
  195. #if !defined(XCONJ)
  196. y[0] += alpha_r * temp_r0 - alpha_i * temp_i0;
  197. y[1] += alpha_r * temp_i0 + alpha_i * temp_r0;
  198. y[2] += alpha_r * temp_r1 - alpha_i * temp_i1;
  199. y[3] += alpha_r * temp_i1 + alpha_i * temp_r1;
  200. y[4] += alpha_r * temp_r2 - alpha_i * temp_i2;
  201. y[5] += alpha_r * temp_i2 + alpha_i * temp_r2;
  202. y[6] += alpha_r * temp_r3 - alpha_i * temp_i3;
  203. y[7] += alpha_r * temp_i3 + alpha_i * temp_r3;
  204. #else
  205. y[0] += alpha_r * temp_r0 + alpha_i * temp_i0;
  206. y[1] -= alpha_r * temp_i0 - alpha_i * temp_r0;
  207. y[2] += alpha_r * temp_r1 + alpha_i * temp_i1;
  208. y[3] -= alpha_r * temp_i1 - alpha_i * temp_r1;
  209. y[4] += alpha_r * temp_r2 + alpha_i * temp_i2;
  210. y[5] -= alpha_r * temp_i2 - alpha_i * temp_r2;
  211. y[6] += alpha_r * temp_r3 + alpha_i * temp_i3;
  212. y[7] -= alpha_r * temp_i3 - alpha_i * temp_r3;
  213. #endif
  214. }
  215. #endif
  216. #ifdef HAVE_KERNEL_4x2_VEC
  217. static void zgemv_kernel_4x2(BLASLONG n, BLASLONG lda, FLOAT *ap, FLOAT *x, FLOAT *y, FLOAT alpha_r, FLOAT alpha_i) {
  218. BLASLONG i;
  219. FLOAT *a0, *a1;
  220. a0 = ap;
  221. a1 = ap + lda;
  222. //p for positive(real*real,image*image) r for image (real*image,image*real)
  223. register __vector double vtemp0_p = {0.0, 0.0};
  224. register __vector double vtemp0_r = {0.0, 0.0};
  225. register __vector double vtemp1_p = {0.0, 0.0};
  226. register __vector double vtemp1_r = {0.0, 0.0};
  227. i = 0;
  228. n = n << 1;
  229. while (i < n) {
  230. register __vector double vx_0 = *(__vector double*) (&x[i]);
  231. register __vector double vx_1 = *(__vector double*) (&x[i + 2]);
  232. register __vector double vx_2 = *(__vector double*) (&x[i + 4]);
  233. register __vector double vx_3 = *(__vector double*) (&x[i + 6]);
  234. register __vector double va0 = *(__vector double*) (&a0[i]);
  235. register __vector double va0_1 = *(__vector double*) (&a0[i + 2]);
  236. register __vector double va0_2 = *(__vector double*) (&a0[i + 4]);
  237. register __vector double va0_3 = *(__vector double*) (&a0[i + 6]);
  238. register __vector double va1 = *(__vector double*) (&a1[i]);
  239. register __vector double va1_1 = *(__vector double*) (&a1[i + 2]);
  240. register __vector double va1_2 = *(__vector double*) (&a1[i + 4]);
  241. register __vector double va1_3 = *(__vector double*) (&a1[i + 6]);
  242. register __vector double vxr_0 = vec_xxpermdi(vx_0, vx_0, 2);
  243. register __vector double vxr_1 = vec_xxpermdi(vx_1, vx_1, 2);
  244. i += 8;
  245. vtemp0_p += vx_0*va0;
  246. vtemp0_r += vxr_0*va0;
  247. vtemp1_p += vx_0*va1;
  248. vtemp1_r += vxr_0*va1;
  249. vxr_0 = vec_xxpermdi(vx_2, vx_2, 2);
  250. vtemp0_p += vx_1*va0_1;
  251. vtemp0_r += vxr_1*va0_1;
  252. vtemp1_p += vx_1*va1_1;
  253. vtemp1_r += vxr_1*va1_1;
  254. vxr_1 = vec_xxpermdi(vx_3, vx_3, 2);
  255. vtemp0_p += vx_2*va0_2;
  256. vtemp0_r += vxr_0*va0_2;
  257. vtemp1_p += vx_2*va1_2;
  258. vtemp1_r += vxr_0*va1_2;
  259. vtemp0_p += vx_3*va0_3;
  260. vtemp0_r += vxr_1*va0_3;
  261. vtemp1_p += vx_3*va1_3;
  262. vtemp1_r += vxr_1*va1_3;
  263. }
  264. #if ( !defined(CONJ) && !defined(XCONJ) ) || ( defined(CONJ) && defined(XCONJ) )
  265. register FLOAT temp_r0 = vtemp0_p[0] - vtemp0_p[1];
  266. register FLOAT temp_i0 = vtemp0_r[0] + vtemp0_r[1];
  267. register FLOAT temp_r1 = vtemp1_p[0] - vtemp1_p[1];
  268. register FLOAT temp_i1 = vtemp1_r[0] + vtemp1_r[1];
  269. #else
  270. register FLOAT temp_r0 = vtemp0_p[0] + vtemp0_p[1];
  271. register FLOAT temp_i0 = vtemp0_r[0] - vtemp0_r[1];
  272. register FLOAT temp_r1 = vtemp1_p[0] + vtemp1_p[1];
  273. register FLOAT temp_i1 = vtemp1_r[0] - vtemp1_r[1];
  274. #endif
  275. #if !defined(XCONJ)
  276. y[0] += alpha_r * temp_r0 - alpha_i * temp_i0;
  277. y[1] += alpha_r * temp_i0 + alpha_i * temp_r0;
  278. y[2] += alpha_r * temp_r1 - alpha_i * temp_i1;
  279. y[3] += alpha_r * temp_i1 + alpha_i * temp_r1;
  280. #else
  281. y[0] += alpha_r * temp_r0 + alpha_i * temp_i0;
  282. y[1] -= alpha_r * temp_i0 - alpha_i * temp_r0;
  283. y[2] += alpha_r * temp_r1 + alpha_i * temp_i1;
  284. y[3] -= alpha_r * temp_i1 - alpha_i * temp_r1;
  285. #endif
  286. }
  287. #else
  288. static void zgemv_kernel_4x2(BLASLONG n, BLASLONG lda, FLOAT *ap, FLOAT *x, FLOAT *y, FLOAT alpha_r, FLOAT alpha_i) {
  289. BLASLONG i;
  290. FLOAT *a0, *a1;
  291. a0 = ap;
  292. a1 = ap + lda;
  293. FLOAT temp_r0 = 0.0;
  294. FLOAT temp_r1 = 0.0;
  295. FLOAT temp_i0 = 0.0;
  296. FLOAT temp_i1 = 0.0;
  297. for (i = 0; i < 2 * n; i += 2) {
  298. #if ( !defined(CONJ) && !defined(XCONJ) ) || ( defined(CONJ) && defined(XCONJ) )
  299. temp_r0 += a0[i] * x[i] - a0[i + 1] * x[i + 1];
  300. temp_i0 += a0[i] * x[i + 1] + a0[i + 1] * x[i];
  301. temp_r1 += a1[i] * x[i] - a1[i + 1] * x[i + 1];
  302. temp_i1 += a1[i] * x[i + 1] + a1[i + 1] * x[i];
  303. #else
  304. temp_r0 += a0[i] * x[i] + a0[i + 1] * x[i + 1];
  305. temp_i0 += a0[i] * x[i + 1] - a0[i + 1] * x[i];
  306. temp_r1 += a1[i] * x[i] + a1[i + 1] * x[i + 1];
  307. temp_i1 += a1[i] * x[i + 1] - a1[i + 1] * x[i];
  308. #endif
  309. }
  310. #if !defined(XCONJ)
  311. y[0] += alpha_r * temp_r0 - alpha_i * temp_i0;
  312. y[1] += alpha_r * temp_i0 + alpha_i * temp_r0;
  313. y[2] += alpha_r * temp_r1 - alpha_i * temp_i1;
  314. y[3] += alpha_r * temp_i1 + alpha_i * temp_r1;
  315. #else
  316. y[0] += alpha_r * temp_r0 + alpha_i * temp_i0;
  317. y[1] -= alpha_r * temp_i0 - alpha_i * temp_r0;
  318. y[2] += alpha_r * temp_r1 + alpha_i * temp_i1;
  319. y[3] -= alpha_r * temp_i1 - alpha_i * temp_r1;
  320. #endif
  321. }
  322. #endif
  323. #ifdef HAVE_KERNEL_4x1_VEC
  324. static void zgemv_kernel_4x1(BLASLONG n, FLOAT *ap, FLOAT *x, FLOAT *y, FLOAT alpha_r, FLOAT alpha_i) {
  325. BLASLONG i;
  326. FLOAT *a0 ;
  327. a0 = ap;
  328. //p for positive(real*real,image*image) r for image (real*image,image*real)
  329. register __vector double vtemp0_p = {0.0, 0.0};
  330. register __vector double vtemp0_r = {0.0, 0.0};
  331. i = 0;
  332. n = n << 1;
  333. while (i < n) {
  334. register __vector double vx_0 = *(__vector double*) (&x[i]);
  335. register __vector double vx_1 = *(__vector double*) (&x[i + 2]);
  336. register __vector double vx_2 = *(__vector double*) (&x[i + 4]);
  337. register __vector double vx_3 = *(__vector double*) (&x[i + 6]);
  338. register __vector double va0 = *(__vector double*) (&a0[i]);
  339. register __vector double va0_1 = *(__vector double*) (&a0[i + 2]);
  340. register __vector double va0_2 = *(__vector double*) (&a0[i + 4]);
  341. register __vector double va0_3 = *(__vector double*) (&a0[i + 6]);
  342. register __vector double vxr_0 = vec_xxpermdi(vx_0, vx_0, 2);
  343. register __vector double vxr_1 = vec_xxpermdi(vx_1, vx_1, 2);
  344. i += 8;
  345. vtemp0_p += vx_0*va0;
  346. vtemp0_r += vxr_0*va0;
  347. vxr_0 = vec_xxpermdi(vx_2, vx_2, 2);
  348. vtemp0_p += vx_1*va0_1;
  349. vtemp0_r += vxr_1*va0_1;
  350. vxr_1 = vec_xxpermdi(vx_3, vx_3, 2);
  351. vtemp0_p += vx_2*va0_2;
  352. vtemp0_r += vxr_0*va0_2;
  353. vtemp0_p += vx_3*va0_3;
  354. vtemp0_r += vxr_1*va0_3;
  355. }
  356. #if ( !defined(CONJ) && !defined(XCONJ) ) || ( defined(CONJ) && defined(XCONJ) )
  357. register FLOAT temp_r0 = vtemp0_p[0] - vtemp0_p[1];
  358. register FLOAT temp_i0 = vtemp0_r[0] + vtemp0_r[1];
  359. #else
  360. register FLOAT temp_r0 = vtemp0_p[0] + vtemp0_p[1];
  361. register FLOAT temp_i0 = vtemp0_r[0] - vtemp0_r[1];
  362. #endif
  363. #if !defined(XCONJ)
  364. y[0] += alpha_r * temp_r0 - alpha_i * temp_i0;
  365. y[1] += alpha_r * temp_i0 + alpha_i * temp_r0;
  366. #else
  367. y[0] += alpha_r * temp_r0 + alpha_i * temp_i0;
  368. y[1] -= alpha_r * temp_i0 - alpha_i * temp_r0;
  369. #endif
  370. }
  371. #else
  372. static void zgemv_kernel_4x1(BLASLONG n, FLOAT *ap, FLOAT *x, FLOAT *y, FLOAT alpha_r, FLOAT alpha_i) {
  373. BLASLONG i;
  374. FLOAT *a0;
  375. a0 = ap;
  376. FLOAT temp_r0 = 0.0;
  377. FLOAT temp_i0 = 0.0;
  378. for (i = 0; i < 2 * n; i += 2) {
  379. #if ( !defined(CONJ) && !defined(XCONJ) ) || ( defined(CONJ) && defined(XCONJ) )
  380. temp_r0 += a0[i] * x[i] - a0[i + 1] * x[i + 1];
  381. temp_i0 += a0[i] * x[i + 1] + a0[i + 1] * x[i];
  382. #else
  383. temp_r0 += a0[i] * x[i] + a0[i + 1] * x[i + 1];
  384. temp_i0 += a0[i] * x[i + 1] - a0[i + 1] * x[i];
  385. #endif
  386. }
  387. #if !defined(XCONJ)
  388. y[0] += alpha_r * temp_r0 - alpha_i * temp_i0;
  389. y[1] += alpha_r * temp_i0 + alpha_i * temp_r0;
  390. #else
  391. y[0] += alpha_r * temp_r0 + alpha_i * temp_i0;
  392. y[1] -= alpha_r * temp_i0 - alpha_i * temp_r0;
  393. #endif
  394. }
  395. #endif
  396. static __attribute__((always_inline)) void copy_x(BLASLONG n, FLOAT *src, FLOAT *dest, BLASLONG inc_src) {
  397. BLASLONG i;
  398. for (i = 0; i < n; i++) {
  399. *dest = *src;
  400. *(dest + 1) = *(src + 1);
  401. dest += 2;
  402. src += inc_src;
  403. }
  404. }
  405. int CNAME(BLASLONG m, BLASLONG n, BLASLONG dummy1, FLOAT alpha_r, FLOAT alpha_i, FLOAT *a, BLASLONG lda, FLOAT *x, BLASLONG inc_x, FLOAT *y, BLASLONG inc_y, FLOAT *buffer) {
  406. BLASLONG i;
  407. BLASLONG j;
  408. FLOAT *a_ptr;
  409. FLOAT *x_ptr;
  410. FLOAT *y_ptr;
  411. BLASLONG n1;
  412. BLASLONG m1;
  413. BLASLONG m2;
  414. BLASLONG m3;
  415. BLASLONG n2;
  416. FLOAT ybuffer[8], *xbuffer;
  417. if (m < 1) return (0);
  418. if (n < 1) return (0);
  419. inc_x <<= 1;
  420. inc_y <<= 1;
  421. lda <<= 1;
  422. xbuffer = buffer;
  423. n1 = n >> 2;
  424. n2 = n & 3;
  425. m3 = m & 3;
  426. m1 = m - m3;
  427. m2 = (m & (NBMAX - 1)) - m3;
  428. BLASLONG NB = NBMAX;
  429. while (NB == NBMAX) {
  430. m1 -= NB;
  431. if (m1 < 0) {
  432. if (m2 == 0) break;
  433. NB = m2;
  434. }
  435. y_ptr = y;
  436. a_ptr = a;
  437. x_ptr = x;
  438. if (inc_x != 2)
  439. copy_x(NB, x_ptr, xbuffer, inc_x);
  440. else
  441. xbuffer = x_ptr;
  442. if (inc_y == 2) {
  443. for (i = 0; i < n1; i++) {
  444. zgemv_kernel_4x4(NB, lda, a_ptr, xbuffer, y_ptr, alpha_r, alpha_i);
  445. a_ptr += lda << 2;
  446. y_ptr += 8;
  447. }
  448. if (n2 & 2) {
  449. zgemv_kernel_4x2(NB, lda, a_ptr, xbuffer, y_ptr, alpha_r, alpha_i);
  450. a_ptr += lda << 1;
  451. y_ptr += 4;
  452. }
  453. if (n2 & 1) {
  454. zgemv_kernel_4x1(NB, a_ptr, xbuffer, y_ptr, alpha_r, alpha_i);
  455. a_ptr += lda;
  456. y_ptr += 2;
  457. }
  458. } else {
  459. for (i = 0; i < n1; i++) {
  460. memset(ybuffer, 0, sizeof (ybuffer));
  461. zgemv_kernel_4x4(NB, lda, a_ptr, xbuffer, ybuffer, alpha_r, alpha_i);
  462. a_ptr += lda << 2;
  463. y_ptr[0] += ybuffer[0];
  464. y_ptr[1] += ybuffer[1];
  465. y_ptr += inc_y;
  466. y_ptr[0] += ybuffer[2];
  467. y_ptr[1] += ybuffer[3];
  468. y_ptr += inc_y;
  469. y_ptr[0] += ybuffer[4];
  470. y_ptr[1] += ybuffer[5];
  471. y_ptr += inc_y;
  472. y_ptr[0] += ybuffer[6];
  473. y_ptr[1] += ybuffer[7];
  474. y_ptr += inc_y;
  475. }
  476. for (i = 0; i < n2; i++) {
  477. memset(ybuffer, 0, sizeof (ybuffer));
  478. zgemv_kernel_4x1(NB, a_ptr, xbuffer, ybuffer, alpha_r, alpha_i);
  479. a_ptr += lda;
  480. y_ptr[0] += ybuffer[0];
  481. y_ptr[1] += ybuffer[1];
  482. y_ptr += inc_y;
  483. }
  484. }
  485. a += 2 * NB;
  486. x += NB * inc_x;
  487. }
  488. if (m3 == 0) return (0);
  489. x_ptr = x;
  490. j = 0;
  491. a_ptr = a;
  492. y_ptr = y;
  493. if (m3 == 3) {
  494. FLOAT temp_r;
  495. FLOAT temp_i;
  496. FLOAT x0 = x_ptr[0];
  497. FLOAT x1 = x_ptr[1];
  498. x_ptr += inc_x;
  499. FLOAT x2 = x_ptr[0];
  500. FLOAT x3 = x_ptr[1];
  501. x_ptr += inc_x;
  502. FLOAT x4 = x_ptr[0];
  503. FLOAT x5 = x_ptr[1];
  504. while (j < n) {
  505. #if ( !defined(CONJ) && !defined(XCONJ) ) || ( defined(CONJ) && defined(XCONJ) )
  506. temp_r = a_ptr[0] * x0 - a_ptr[1] * x1;
  507. temp_i = a_ptr[0] * x1 + a_ptr[1] * x0;
  508. temp_r += a_ptr[2] * x2 - a_ptr[3] * x3;
  509. temp_i += a_ptr[2] * x3 + a_ptr[3] * x2;
  510. temp_r += a_ptr[4] * x4 - a_ptr[5] * x5;
  511. temp_i += a_ptr[4] * x5 + a_ptr[5] * x4;
  512. #else
  513. temp_r = a_ptr[0] * x0 + a_ptr[1] * x1;
  514. temp_i = a_ptr[0] * x1 - a_ptr[1] * x0;
  515. temp_r += a_ptr[2] * x2 + a_ptr[3] * x3;
  516. temp_i += a_ptr[2] * x3 - a_ptr[3] * x2;
  517. temp_r += a_ptr[4] * x4 + a_ptr[5] * x5;
  518. temp_i += a_ptr[4] * x5 - a_ptr[5] * x4;
  519. #endif
  520. #if !defined(XCONJ)
  521. y_ptr[0] += alpha_r * temp_r - alpha_i * temp_i;
  522. y_ptr[1] += alpha_r * temp_i + alpha_i * temp_r;
  523. #else
  524. y_ptr[0] += alpha_r * temp_r + alpha_i * temp_i;
  525. y_ptr[1] -= alpha_r * temp_i - alpha_i * temp_r;
  526. #endif
  527. a_ptr += lda;
  528. y_ptr += inc_y;
  529. j++;
  530. }
  531. return (0);
  532. }
  533. if (m3 == 2) {
  534. FLOAT temp_r;
  535. FLOAT temp_i;
  536. FLOAT temp_r1;
  537. FLOAT temp_i1;
  538. FLOAT x0 = x_ptr[0];
  539. FLOAT x1 = x_ptr[1];
  540. x_ptr += inc_x;
  541. FLOAT x2 = x_ptr[0];
  542. FLOAT x3 = x_ptr[1];
  543. while (j < (n & -2)) {
  544. #if ( !defined(CONJ) && !defined(XCONJ) ) || ( defined(CONJ) && defined(XCONJ) )
  545. temp_r = a_ptr[0] * x0 - a_ptr[1] * x1;
  546. temp_i = a_ptr[0] * x1 + a_ptr[1] * x0;
  547. temp_r += a_ptr[2] * x2 - a_ptr[3] * x3;
  548. temp_i += a_ptr[2] * x3 + a_ptr[3] * x2;
  549. a_ptr += lda;
  550. temp_r1 = a_ptr[0] * x0 - a_ptr[1] * x1;
  551. temp_i1 = a_ptr[0] * x1 + a_ptr[1] * x0;
  552. temp_r1 += a_ptr[2] * x2 - a_ptr[3] * x3;
  553. temp_i1 += a_ptr[2] * x3 + a_ptr[3] * x2;
  554. #else
  555. temp_r = a_ptr[0] * x0 + a_ptr[1] * x1;
  556. temp_i = a_ptr[0] * x1 - a_ptr[1] * x0;
  557. temp_r += a_ptr[2] * x2 + a_ptr[3] * x3;
  558. temp_i += a_ptr[2] * x3 - a_ptr[3] * x2;
  559. a_ptr += lda;
  560. temp_r1 = a_ptr[0] * x0 + a_ptr[1] * x1;
  561. temp_i1 = a_ptr[0] * x1 - a_ptr[1] * x0;
  562. temp_r1 += a_ptr[2] * x2 + a_ptr[3] * x3;
  563. temp_i1 += a_ptr[2] * x3 - a_ptr[3] * x2;
  564. #endif
  565. #if !defined(XCONJ)
  566. y_ptr[0] += alpha_r * temp_r - alpha_i * temp_i;
  567. y_ptr[1] += alpha_r * temp_i + alpha_i * temp_r;
  568. y_ptr += inc_y;
  569. y_ptr[0] += alpha_r * temp_r1 - alpha_i * temp_i1;
  570. y_ptr[1] += alpha_r * temp_i1 + alpha_i * temp_r1;
  571. #else
  572. y_ptr[0] += alpha_r * temp_r + alpha_i * temp_i;
  573. y_ptr[1] -= alpha_r * temp_i - alpha_i * temp_r;
  574. y_ptr += inc_y;
  575. y_ptr[0] += alpha_r * temp_r1 + alpha_i * temp_i1;
  576. y_ptr[1] -= alpha_r * temp_i1 - alpha_i * temp_r1;
  577. #endif
  578. a_ptr += lda;
  579. y_ptr += inc_y;
  580. j += 2;
  581. }
  582. while (j < n) {
  583. #if ( !defined(CONJ) && !defined(XCONJ) ) || ( defined(CONJ) && defined(XCONJ) )
  584. temp_r = a_ptr[0] * x0 - a_ptr[1] * x1;
  585. temp_i = a_ptr[0] * x1 + a_ptr[1] * x0;
  586. temp_r += a_ptr[2] * x2 - a_ptr[3] * x3;
  587. temp_i += a_ptr[2] * x3 + a_ptr[3] * x2;
  588. #else
  589. temp_r = a_ptr[0] * x0 + a_ptr[1] * x1;
  590. temp_i = a_ptr[0] * x1 - a_ptr[1] * x0;
  591. temp_r += a_ptr[2] * x2 + a_ptr[3] * x3;
  592. temp_i += a_ptr[2] * x3 - a_ptr[3] * x2;
  593. #endif
  594. #if !defined(XCONJ)
  595. y_ptr[0] += alpha_r * temp_r - alpha_i * temp_i;
  596. y_ptr[1] += alpha_r * temp_i + alpha_i * temp_r;
  597. #else
  598. y_ptr[0] += alpha_r * temp_r + alpha_i * temp_i;
  599. y_ptr[1] -= alpha_r * temp_i - alpha_i * temp_r;
  600. #endif
  601. a_ptr += lda;
  602. y_ptr += inc_y;
  603. j++;
  604. }
  605. return (0);
  606. }
  607. if (m3 == 1) {
  608. FLOAT temp_r;
  609. FLOAT temp_i;
  610. FLOAT temp_r1;
  611. FLOAT temp_i1;
  612. FLOAT x0 = x_ptr[0];
  613. FLOAT x1 = x_ptr[1];
  614. while (j < (n & -2)) {
  615. #if ( !defined(CONJ) && !defined(XCONJ) ) || ( defined(CONJ) && defined(XCONJ) )
  616. temp_r = a_ptr[0] * x0 - a_ptr[1] * x1;
  617. temp_i = a_ptr[0] * x1 + a_ptr[1] * x0;
  618. a_ptr += lda;
  619. temp_r1 = a_ptr[0] * x0 - a_ptr[1] * x1;
  620. temp_i1 = a_ptr[0] * x1 + a_ptr[1] * x0;
  621. #else
  622. temp_r = a_ptr[0] * x0 + a_ptr[1] * x1;
  623. temp_i = a_ptr[0] * x1 - a_ptr[1] * x0;
  624. a_ptr += lda;
  625. temp_r1 = a_ptr[0] * x0 + a_ptr[1] * x1;
  626. temp_i1 = a_ptr[0] * x1 - a_ptr[1] * x0;
  627. #endif
  628. #if !defined(XCONJ)
  629. y_ptr[0] += alpha_r * temp_r - alpha_i * temp_i;
  630. y_ptr[1] += alpha_r * temp_i + alpha_i * temp_r;
  631. y_ptr += inc_y;
  632. y_ptr[0] += alpha_r * temp_r1 - alpha_i * temp_i1;
  633. y_ptr[1] += alpha_r * temp_i1 + alpha_i * temp_r1;
  634. #else
  635. y_ptr[0] += alpha_r * temp_r + alpha_i * temp_i;
  636. y_ptr[1] -= alpha_r * temp_i - alpha_i * temp_r;
  637. y_ptr += inc_y;
  638. y_ptr[0] += alpha_r * temp_r1 + alpha_i * temp_i1;
  639. y_ptr[1] -= alpha_r * temp_i1 - alpha_i * temp_r1;
  640. #endif
  641. a_ptr += lda;
  642. y_ptr += inc_y;
  643. j += 2;
  644. }
  645. while (j < n) {
  646. #if ( !defined(CONJ) && !defined(XCONJ) ) || ( defined(CONJ) && defined(XCONJ) )
  647. temp_r = a_ptr[0] * x0 - a_ptr[1] * x1;
  648. temp_i = a_ptr[0] * x1 + a_ptr[1] * x0;
  649. #else
  650. temp_r = a_ptr[0] * x0 + a_ptr[1] * x1;
  651. temp_i = a_ptr[0] * x1 - a_ptr[1] * x0;
  652. #endif
  653. #if !defined(XCONJ)
  654. y_ptr[0] += alpha_r * temp_r - alpha_i * temp_i;
  655. y_ptr[1] += alpha_r * temp_i + alpha_i * temp_r;
  656. #else
  657. y_ptr[0] += alpha_r * temp_r + alpha_i * temp_i;
  658. y_ptr[1] -= alpha_r * temp_i - alpha_i * temp_r;
  659. #endif
  660. a_ptr += lda;
  661. y_ptr += inc_y;
  662. j++;
  663. }
  664. return (0);
  665. }
  666. return (0);
  667. }