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nrm2_vector.c 11 kB

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  1. /***************************************************************************
  2. Copyright (c) 2020, 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. #if !defined(DOUBLE)
  29. #define VSETVL(n) vsetvl_e32m4(n)
  30. #define VSETVL_MAX vsetvlmax_e32m1()
  31. #define FLOAT_V_T vfloat32m4_t
  32. #define VFMVFS_FLOATM4 vfmv_f_s_f32m4_f32
  33. #define FLOAT_V_T_M1 vfloat32m1_t
  34. #define VFMVFS_FLOAT vfmv_f_s_f32m1_f32
  35. #define VLEV_FLOAT vle32_v_f32m4
  36. #define VLSEV_FLOAT vlse32_v_f32m4
  37. #define VFREDSUM_FLOAT vfredusum_vs_f32m4_f32m1
  38. #define VFMACCVV_FLOAT vfmacc_vv_f32m4
  39. #define VFMVVF_FLOAT vfmv_v_f_f32m4
  40. #define VFMVVF_FLOAT_M1 vfmv_v_f_f32m1
  41. #define VFDOTVV_FLOAT vfdot_vv_f32m4
  42. #define ABS fabsf
  43. #define MASK_T vbool8_t
  44. #define VFRSUBVF_MASK_FLOAT vfrsub_vf_f32m4_m
  45. #define VMFGTVF_FLOAT vmfgt_vf_f32m4_b8
  46. #define VMFIRSTM vmfirst_m_b8
  47. #define VFDIVVF_FLOAT vfdiv_vf_f32m4
  48. #define VMFLTVF_FLOAT vmflt_vf_f32m4_b8
  49. #define VFREDMAXVS_FLOAT vfredmax_vs_f32m4_f32m1
  50. #else
  51. #define VSETVL(n) vsetvl_e64m4(n)
  52. #define VSETVL_MAX vsetvlmax_e64m1()
  53. #define FLOAT_V_T vfloat64m4_t
  54. #define VFMVFS_FLOATM4 vfmv_f_s_f64m4_f64
  55. #define FLOAT_V_T_M1 vfloat64m1_t
  56. #define VFMVFS_FLOAT vfmv_f_s_f64m1_f64
  57. #define VLEV_FLOAT vle64_v_f64m4
  58. #define VLSEV_FLOAT vlse64_v_f64m4
  59. #define VFREDSUM_FLOAT vfredusum_vs_f64m4_f64m1
  60. #define VFMACCVV_FLOAT vfmacc_vv_f64m4
  61. #define VFMVVF_FLOAT vfmv_v_f_f64m4
  62. #define VFMVVF_FLOAT_M1 vfmv_v_f_f64m1
  63. #define VFDOTVV_FLOAT vfdot_vv_f64m4
  64. #define ABS fabs
  65. #define MASK_T vbool16_t
  66. #define VFRSUBVF_MASK_FLOAT vfrsub_vf_f64m4_m
  67. #define VMFGTVF_FLOAT vmfgt_vf_f64m4_b16
  68. #define VMFIRSTM vmfirst_m_b16
  69. #define VFDIVVF_FLOAT vfdiv_vf_f64m4
  70. #define VMFLTVF_FLOAT vmflt_vf_f64m4_b16
  71. #define VFREDMAXVS_FLOAT vfredmax_vs_f64m4_f64m1
  72. #endif
  73. FLOAT CNAME(BLASLONG n, FLOAT *x, BLASLONG inc_x)
  74. {
  75. BLASLONG i=0, j=0;
  76. if ( n < 0 ) return(0.0);
  77. if(n == 1) return (ABS(x[0]));
  78. FLOAT_V_T vr, v0, v_zero;
  79. unsigned int gvl = 0;
  80. FLOAT_V_T_M1 v_res, v_z0;
  81. gvl = VSETVL_MAX;
  82. v_res = VFMVVF_FLOAT_M1(0, gvl);
  83. v_z0 = VFMVVF_FLOAT_M1(0, gvl);
  84. FLOAT scale = 0.0, ssq = 0.0;
  85. MASK_T mask;
  86. BLASLONG index = 0;
  87. if(inc_x == 1){
  88. gvl = VSETVL(n);
  89. vr = VFMVVF_FLOAT(0, gvl);
  90. v_zero = VFMVVF_FLOAT(0, gvl);
  91. for(i=0,j=0; i<n/gvl; i++){
  92. v0 = VLEV_FLOAT(&x[j], gvl);
  93. //fabs(vector)
  94. mask = VMFLTVF_FLOAT(v0, 0, gvl);
  95. v0 = VFRSUBVF_MASK_FLOAT(mask, v0, v0, 0, gvl);
  96. //if scale change
  97. mask = VMFGTVF_FLOAT(v0, scale, gvl);
  98. index = VMFIRSTM(mask, gvl);
  99. if(index == -1){//no elements greater than scale
  100. if(scale != 0.0){
  101. v0 = VFDIVVF_FLOAT(v0, scale, gvl);
  102. vr = VFMACCVV_FLOAT(vr, v0, v0, gvl);
  103. }
  104. }else{//found greater element
  105. //ssq in vector vr: vr[0]
  106. v_res = VFREDSUM_FLOAT(v_res, vr, v_z0, gvl);
  107. //total ssq before current vector
  108. ssq += VFMVFS_FLOAT(v_res);
  109. //find max
  110. v_res = VFREDMAXVS_FLOAT(v_res, v0, v_z0, gvl);
  111. //update ssq before max_index
  112. ssq = ssq * (scale/VFMVFS_FLOAT(v_res))*(scale/VFMVFS_FLOAT(v_res));
  113. //update scale
  114. scale = VFMVFS_FLOAT(v_res);
  115. //ssq in vector vr
  116. v0 = VFDIVVF_FLOAT(v0, scale, gvl);
  117. vr = VFMACCVV_FLOAT(v_zero, v0, v0, gvl);
  118. }
  119. j += gvl;
  120. }
  121. //ssq in vector vr: vr[0]
  122. v_res = VFREDSUM_FLOAT(v_res, vr, v_z0, gvl);
  123. //total ssq now
  124. ssq += VFMVFS_FLOAT(v_res);
  125. //tail
  126. if(j < n){
  127. gvl = VSETVL(n-j);
  128. v0 = VLEV_FLOAT(&x[j], gvl);
  129. //fabs(vector)
  130. mask = VMFLTVF_FLOAT(v0, 0, gvl);
  131. v0 = VFRSUBVF_MASK_FLOAT(mask, v0, v0, 0, gvl);
  132. //if scale change
  133. mask = VMFGTVF_FLOAT(v0, scale, gvl);
  134. index = VMFIRSTM(mask, gvl);
  135. if(index == -1){//no elements greater than scale
  136. if(scale != 0.0)
  137. v0 = VFDIVVF_FLOAT(v0, scale, gvl);
  138. }else{//found greater element
  139. //find max
  140. v_res = VFREDMAXVS_FLOAT(v_res, v0, v_z0, gvl);
  141. //update ssq before max_index
  142. ssq = ssq * (scale/VFMVFS_FLOAT(v_res))*(scale/VFMVFS_FLOAT(v_res));
  143. //update scale
  144. scale = VFMVFS_FLOAT(v_res);
  145. v0 = VFDIVVF_FLOAT(v0, scale, gvl);
  146. }
  147. vr = VFMACCVV_FLOAT(v_zero, v0, v0, gvl);
  148. //ssq in vector vr: vr[0]
  149. v_res = VFREDSUM_FLOAT(v_res, vr, v_z0, gvl);
  150. //total ssq now
  151. ssq += VFMVFS_FLOAT(v_res);
  152. }
  153. }else{
  154. gvl = VSETVL(n);
  155. vr = VFMVVF_FLOAT(0, gvl);
  156. v_zero = VFMVVF_FLOAT(0, gvl);
  157. unsigned int stride_x = inc_x * sizeof(FLOAT);
  158. int idx = 0, inc_v = inc_x * gvl;
  159. for(i=0,j=0; i<n/gvl; i++){
  160. v0 = VLSEV_FLOAT(&x[idx], stride_x, gvl);
  161. //fabs(vector)
  162. mask = VMFLTVF_FLOAT(v0, 0, gvl);
  163. v0 = VFRSUBVF_MASK_FLOAT(mask, v0, v0, 0, gvl);
  164. //if scale change
  165. mask = VMFGTVF_FLOAT(v0, scale, gvl);
  166. index = VMFIRSTM(mask, gvl);
  167. if(index == -1){//no elements greater than scale
  168. if(scale != 0.0){
  169. v0 = VFDIVVF_FLOAT(v0, scale, gvl);
  170. vr = VFMACCVV_FLOAT(vr, v0, v0, gvl);
  171. }
  172. }else{//found greater element
  173. //ssq in vector vr: vr[0]
  174. v_res = VFREDSUM_FLOAT(v_res, vr, v_z0, gvl);
  175. //total ssq before current vector
  176. ssq += VFMVFS_FLOAT(v_res);
  177. //find max
  178. v_res = VFREDMAXVS_FLOAT(v_res, v0, v_z0, gvl);
  179. //update ssq before max_index
  180. ssq = ssq * (scale/VFMVFS_FLOAT(v_res))*(scale/VFMVFS_FLOAT(v_res));
  181. //update scale
  182. scale = VFMVFS_FLOAT(v_res);
  183. //ssq in vector vr
  184. v0 = VFDIVVF_FLOAT(v0, scale, gvl);
  185. vr = VFMACCVV_FLOAT(v_zero, v0, v0, gvl);
  186. }
  187. j += gvl;
  188. idx += inc_v;
  189. }
  190. //ssq in vector vr: vr[0]
  191. v_res = VFREDSUM_FLOAT(v_res, vr, v_z0, gvl);
  192. //total ssq now
  193. ssq += VFMVFS_FLOAT(v_res);
  194. //tail
  195. if(j < n){
  196. gvl = VSETVL(n-j);
  197. v0 = VLSEV_FLOAT(&x[idx], stride_x, gvl);
  198. //fabs(vector)
  199. mask = VMFLTVF_FLOAT(v0, 0, gvl);
  200. v0 = VFRSUBVF_MASK_FLOAT(mask, v0, v0, 0, gvl);
  201. //if scale change
  202. mask = VMFGTVF_FLOAT(v0, scale, gvl);
  203. index = VMFIRSTM(mask, gvl);
  204. if(index == -1){//no elements greater than scale
  205. if(scale != 0.0)
  206. v0 = VFDIVVF_FLOAT(v0, scale, gvl);
  207. }else{//found greater element
  208. //find max
  209. v_res = VFREDMAXVS_FLOAT(v_res, v0, v_z0, gvl);
  210. //update ssq before max_index
  211. ssq = ssq * (scale/VFMVFS_FLOAT(v_res))*(scale/VFMVFS_FLOAT(v_res));
  212. //update scale
  213. scale = VFMVFS_FLOATM4(vr);
  214. v0 = VFDIVVF_FLOAT(v0, scale, gvl);
  215. }
  216. vr = VFMACCVV_FLOAT(v_zero, v0, v0, gvl);
  217. //ssq in vector vr: vr[0]
  218. v_res = VFREDSUM_FLOAT(v_res, vr, v_z0, gvl);
  219. //total ssq now
  220. ssq += VFMVFS_FLOAT(v_res);
  221. }
  222. }
  223. return(scale * sqrt(ssq));
  224. }