2 * This file is part of the GROMACS molecular simulation package.
4 * Copyright (c) 2012,2013,2014, by the GROMACS development team, led by
5 * Mark Abraham, David van der Spoel, Berk Hess, and Erik Lindahl,
6 * and including many others, as listed in the AUTHORS file in the
7 * top-level source directory and at http://www.gromacs.org.
9 * GROMACS is free software; you can redistribute it and/or
10 * modify it under the terms of the GNU Lesser General Public License
11 * as published by the Free Software Foundation; either version 2.1
12 * of the License, or (at your option) any later version.
14 * GROMACS is distributed in the hope that it will be useful,
15 * but WITHOUT ANY WARRANTY; without even the implied warranty of
16 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
17 * Lesser General Public License for more details.
19 * You should have received a copy of the GNU Lesser General Public
20 * License along with GROMACS; if not, see
21 * http://www.gnu.org/licenses, or write to the Free Software Foundation,
22 * Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
24 * If you want to redistribute modifications to GROMACS, please
25 * consider that scientific software is very special. Version
26 * control is crucial - bugs must be traceable. We will be happy to
27 * consider code for inclusion in the official distribution, but
28 * derived work must not be called official GROMACS. Details are found
29 * in the README & COPYING files - if they are missing, get the
30 * official version at http://www.gromacs.org.
32 * To help us fund GROMACS development, we humbly ask that you cite
33 * the research papers on the package. Check out http://www.gromacs.org.
36 * Note: this file was generated by the GROMACS avx_256_double kernel generator.
42 #include "../nb_kernel.h"
43 #include "types/simple.h"
44 #include "gromacs/math/vec.h"
47 #include "gromacs/simd/math_x86_avx_256_double.h"
48 #include "kernelutil_x86_avx_256_double.h"
51 * Gromacs nonbonded kernel: nb_kernel_ElecEwSh_VdwLJEwSh_GeomP1P1_VF_avx_256_double
52 * Electrostatics interaction: Ewald
53 * VdW interaction: LJEwald
54 * Geometry: Particle-Particle
55 * Calculate force/pot: PotentialAndForce
58 nb_kernel_ElecEwSh_VdwLJEwSh_GeomP1P1_VF_avx_256_double
59 (t_nblist * gmx_restrict nlist,
60 rvec * gmx_restrict xx,
61 rvec * gmx_restrict ff,
62 t_forcerec * gmx_restrict fr,
63 t_mdatoms * gmx_restrict mdatoms,
64 nb_kernel_data_t gmx_unused * gmx_restrict kernel_data,
65 t_nrnb * gmx_restrict nrnb)
67 /* Suffixes 0,1,2,3 refer to particle indices for waters in the inner or outer loop, or
68 * just 0 for non-waters.
69 * Suffixes A,B,C,D refer to j loop unrolling done with AVX, e.g. for the four different
70 * jnr indices corresponding to data put in the four positions in the SIMD register.
72 int i_shift_offset,i_coord_offset,outeriter,inneriter;
73 int j_index_start,j_index_end,jidx,nri,inr,ggid,iidx;
74 int jnrA,jnrB,jnrC,jnrD;
75 int jnrlistA,jnrlistB,jnrlistC,jnrlistD;
76 int jnrlistE,jnrlistF,jnrlistG,jnrlistH;
77 int j_coord_offsetA,j_coord_offsetB,j_coord_offsetC,j_coord_offsetD;
78 int *iinr,*jindex,*jjnr,*shiftidx,*gid;
80 real *shiftvec,*fshift,*x,*f;
81 real *fjptrA,*fjptrB,*fjptrC,*fjptrD;
83 __m256d tx,ty,tz,fscal,rcutoff,rcutoff2,jidxall;
84 real * vdwioffsetptr0;
85 real * vdwgridioffsetptr0;
86 __m256d ix0,iy0,iz0,fix0,fiy0,fiz0,iq0,isai0;
87 int vdwjidx0A,vdwjidx0B,vdwjidx0C,vdwjidx0D;
88 __m256d jx0,jy0,jz0,fjx0,fjy0,fjz0,jq0,isaj0;
89 __m256d dx00,dy00,dz00,rsq00,rinv00,rinvsq00,r00,qq00,c6_00,c12_00;
90 __m256d velec,felec,velecsum,facel,crf,krf,krf2;
93 __m256d rinvsix,rvdw,vvdw,vvdw6,vvdw12,fvdw,fvdw6,fvdw12,vvdwsum,sh_vdw_invrcut6;
96 __m256d one_sixth = _mm256_set1_pd(1.0/6.0);
97 __m256d one_twelfth = _mm256_set1_pd(1.0/12.0);
100 __m256d ewclj,ewclj2,ewclj6,ewcljrsq,poly,exponent,f6A,f6B,sh_lj_ewald;
101 __m256d one_half = _mm256_set1_pd(0.5);
102 __m256d minus_one = _mm256_set1_pd(-1.0);
104 __m256d ewtabscale,eweps,sh_ewald,ewrt,ewtabhalfspace,ewtabF,ewtabFn,ewtabD,ewtabV;
105 __m256d beta,beta2,beta3,zeta2,pmecorrF,pmecorrV,rinv3;
107 __m256d dummy_mask,cutoff_mask;
108 __m128 tmpmask0,tmpmask1;
109 __m256d signbit = _mm256_castsi256_pd( _mm256_set1_epi32(0x80000000) );
110 __m256d one = _mm256_set1_pd(1.0);
111 __m256d two = _mm256_set1_pd(2.0);
117 jindex = nlist->jindex;
119 shiftidx = nlist->shift;
121 shiftvec = fr->shift_vec[0];
122 fshift = fr->fshift[0];
123 facel = _mm256_set1_pd(fr->epsfac);
124 charge = mdatoms->chargeA;
125 nvdwtype = fr->ntype;
127 vdwtype = mdatoms->typeA;
128 vdwgridparam = fr->ljpme_c6grid;
129 sh_lj_ewald = _mm256_set1_pd(fr->ic->sh_lj_ewald);
130 ewclj = _mm256_set1_pd(fr->ewaldcoeff_lj);
131 ewclj2 = _mm256_mul_pd(minus_one,_mm256_mul_pd(ewclj,ewclj));
133 sh_ewald = _mm256_set1_pd(fr->ic->sh_ewald);
134 beta = _mm256_set1_pd(fr->ic->ewaldcoeff_q);
135 beta2 = _mm256_mul_pd(beta,beta);
136 beta3 = _mm256_mul_pd(beta,beta2);
138 ewtab = fr->ic->tabq_coul_FDV0;
139 ewtabscale = _mm256_set1_pd(fr->ic->tabq_scale);
140 ewtabhalfspace = _mm256_set1_pd(0.5/fr->ic->tabq_scale);
142 /* When we use explicit cutoffs the value must be identical for elec and VdW, so use elec as an arbitrary choice */
143 rcutoff_scalar = fr->rcoulomb;
144 rcutoff = _mm256_set1_pd(rcutoff_scalar);
145 rcutoff2 = _mm256_mul_pd(rcutoff,rcutoff);
147 sh_vdw_invrcut6 = _mm256_set1_pd(fr->ic->sh_invrc6);
148 rvdw = _mm256_set1_pd(fr->rvdw);
150 /* Avoid stupid compiler warnings */
151 jnrA = jnrB = jnrC = jnrD = 0;
160 for(iidx=0;iidx<4*DIM;iidx++)
165 /* Start outer loop over neighborlists */
166 for(iidx=0; iidx<nri; iidx++)
168 /* Load shift vector for this list */
169 i_shift_offset = DIM*shiftidx[iidx];
171 /* Load limits for loop over neighbors */
172 j_index_start = jindex[iidx];
173 j_index_end = jindex[iidx+1];
175 /* Get outer coordinate index */
177 i_coord_offset = DIM*inr;
179 /* Load i particle coords and add shift vector */
180 gmx_mm256_load_shift_and_1rvec_broadcast_pd(shiftvec+i_shift_offset,x+i_coord_offset,&ix0,&iy0,&iz0);
182 fix0 = _mm256_setzero_pd();
183 fiy0 = _mm256_setzero_pd();
184 fiz0 = _mm256_setzero_pd();
186 /* Load parameters for i particles */
187 iq0 = _mm256_mul_pd(facel,_mm256_set1_pd(charge[inr+0]));
188 vdwioffsetptr0 = vdwparam+2*nvdwtype*vdwtype[inr+0];
189 vdwgridioffsetptr0 = vdwgridparam+2*nvdwtype*vdwtype[inr+0];
191 /* Reset potential sums */
192 velecsum = _mm256_setzero_pd();
193 vvdwsum = _mm256_setzero_pd();
195 /* Start inner kernel loop */
196 for(jidx=j_index_start; jidx<j_index_end && jjnr[jidx+3]>=0; jidx+=4)
199 /* Get j neighbor index, and coordinate index */
204 j_coord_offsetA = DIM*jnrA;
205 j_coord_offsetB = DIM*jnrB;
206 j_coord_offsetC = DIM*jnrC;
207 j_coord_offsetD = DIM*jnrD;
209 /* load j atom coordinates */
210 gmx_mm256_load_1rvec_4ptr_swizzle_pd(x+j_coord_offsetA,x+j_coord_offsetB,
211 x+j_coord_offsetC,x+j_coord_offsetD,
214 /* Calculate displacement vector */
215 dx00 = _mm256_sub_pd(ix0,jx0);
216 dy00 = _mm256_sub_pd(iy0,jy0);
217 dz00 = _mm256_sub_pd(iz0,jz0);
219 /* Calculate squared distance and things based on it */
220 rsq00 = gmx_mm256_calc_rsq_pd(dx00,dy00,dz00);
222 rinv00 = gmx_mm256_invsqrt_pd(rsq00);
224 rinvsq00 = _mm256_mul_pd(rinv00,rinv00);
226 /* Load parameters for j particles */
227 jq0 = gmx_mm256_load_4real_swizzle_pd(charge+jnrA+0,charge+jnrB+0,
228 charge+jnrC+0,charge+jnrD+0);
229 vdwjidx0A = 2*vdwtype[jnrA+0];
230 vdwjidx0B = 2*vdwtype[jnrB+0];
231 vdwjidx0C = 2*vdwtype[jnrC+0];
232 vdwjidx0D = 2*vdwtype[jnrD+0];
234 /**************************
235 * CALCULATE INTERACTIONS *
236 **************************/
238 if (gmx_mm256_any_lt(rsq00,rcutoff2))
241 r00 = _mm256_mul_pd(rsq00,rinv00);
243 /* Compute parameters for interactions between i and j atoms */
244 qq00 = _mm256_mul_pd(iq0,jq0);
245 gmx_mm256_load_4pair_swizzle_pd(vdwioffsetptr0+vdwjidx0A,
246 vdwioffsetptr0+vdwjidx0B,
247 vdwioffsetptr0+vdwjidx0C,
248 vdwioffsetptr0+vdwjidx0D,
251 c6grid_00 = gmx_mm256_load_4real_swizzle_pd(vdwgridioffsetptr0+vdwjidx0A,
252 vdwgridioffsetptr0+vdwjidx0B,
253 vdwgridioffsetptr0+vdwjidx0C,
254 vdwgridioffsetptr0+vdwjidx0D);
256 /* EWALD ELECTROSTATICS */
258 /* Calculate Ewald table index by multiplying r with scale and truncate to integer */
259 ewrt = _mm256_mul_pd(r00,ewtabscale);
260 ewitab = _mm256_cvttpd_epi32(ewrt);
261 eweps = _mm256_sub_pd(ewrt,_mm256_round_pd(ewrt, _MM_FROUND_FLOOR));
262 ewitab = _mm_slli_epi32(ewitab,2);
263 ewtabF = _mm256_load_pd( ewtab + _mm_extract_epi32(ewitab,0) );
264 ewtabD = _mm256_load_pd( ewtab + _mm_extract_epi32(ewitab,1) );
265 ewtabV = _mm256_load_pd( ewtab + _mm_extract_epi32(ewitab,2) );
266 ewtabFn = _mm256_load_pd( ewtab + _mm_extract_epi32(ewitab,3) );
267 GMX_MM256_FULLTRANSPOSE4_PD(ewtabF,ewtabD,ewtabV,ewtabFn);
268 felec = _mm256_add_pd(ewtabF,_mm256_mul_pd(eweps,ewtabD));
269 velec = _mm256_sub_pd(ewtabV,_mm256_mul_pd(_mm256_mul_pd(ewtabhalfspace,eweps),_mm256_add_pd(ewtabF,felec)));
270 velec = _mm256_mul_pd(qq00,_mm256_sub_pd(_mm256_sub_pd(rinv00,sh_ewald),velec));
271 felec = _mm256_mul_pd(_mm256_mul_pd(qq00,rinv00),_mm256_sub_pd(rinvsq00,felec));
273 /* Analytical LJ-PME */
274 rinvsix = _mm256_mul_pd(_mm256_mul_pd(rinvsq00,rinvsq00),rinvsq00);
275 ewcljrsq = _mm256_mul_pd(ewclj2,rsq00);
276 ewclj6 = _mm256_mul_pd(ewclj2,_mm256_mul_pd(ewclj2,ewclj2));
277 exponent = gmx_simd_exp_d(ewcljrsq);
278 /* poly = exp(-(beta*r)^2) * (1 + (beta*r)^2 + (beta*r)^4 /2) */
279 poly = _mm256_mul_pd(exponent,_mm256_add_pd(_mm256_sub_pd(one,ewcljrsq),_mm256_mul_pd(_mm256_mul_pd(ewcljrsq,ewcljrsq),one_half)));
280 /* vvdw6 = [C6 - C6grid * (1-poly)]/r6 */
281 vvdw6 = _mm256_mul_pd(_mm256_sub_pd(c6_00,_mm256_mul_pd(c6grid_00,_mm256_sub_pd(one,poly))),rinvsix);
282 vvdw12 = _mm256_mul_pd(c12_00,_mm256_mul_pd(rinvsix,rinvsix));
283 vvdw = _mm256_sub_pd(_mm256_mul_pd( _mm256_sub_pd(vvdw12 , _mm256_mul_pd(c12_00,_mm256_mul_pd(sh_vdw_invrcut6,sh_vdw_invrcut6))), one_twelfth) ,
284 _mm256_mul_pd( _mm256_sub_pd(vvdw6,_mm256_add_pd(_mm256_mul_pd(c6_00,sh_vdw_invrcut6),_mm256_mul_pd(c6grid_00,sh_lj_ewald))),one_sixth));
285 /* fvdw = vvdw12/r - (vvdw6/r + (C6grid * exponent * beta^6)/r) */
286 fvdw = _mm256_mul_pd(_mm256_sub_pd(vvdw12,_mm256_sub_pd(vvdw6,_mm256_mul_pd(_mm256_mul_pd(c6grid_00,one_sixth),_mm256_mul_pd(exponent,ewclj6)))),rinvsq00);
288 cutoff_mask = _mm256_cmp_pd(rsq00,rcutoff2,_CMP_LT_OQ);
290 /* Update potential sum for this i atom from the interaction with this j atom. */
291 velec = _mm256_and_pd(velec,cutoff_mask);
292 velecsum = _mm256_add_pd(velecsum,velec);
293 vvdw = _mm256_and_pd(vvdw,cutoff_mask);
294 vvdwsum = _mm256_add_pd(vvdwsum,vvdw);
296 fscal = _mm256_add_pd(felec,fvdw);
298 fscal = _mm256_and_pd(fscal,cutoff_mask);
300 /* Calculate temporary vectorial force */
301 tx = _mm256_mul_pd(fscal,dx00);
302 ty = _mm256_mul_pd(fscal,dy00);
303 tz = _mm256_mul_pd(fscal,dz00);
305 /* Update vectorial force */
306 fix0 = _mm256_add_pd(fix0,tx);
307 fiy0 = _mm256_add_pd(fiy0,ty);
308 fiz0 = _mm256_add_pd(fiz0,tz);
310 fjptrA = f+j_coord_offsetA;
311 fjptrB = f+j_coord_offsetB;
312 fjptrC = f+j_coord_offsetC;
313 fjptrD = f+j_coord_offsetD;
314 gmx_mm256_decrement_1rvec_4ptr_swizzle_pd(fjptrA,fjptrB,fjptrC,fjptrD,tx,ty,tz);
318 /* Inner loop uses 82 flops */
324 /* Get j neighbor index, and coordinate index */
325 jnrlistA = jjnr[jidx];
326 jnrlistB = jjnr[jidx+1];
327 jnrlistC = jjnr[jidx+2];
328 jnrlistD = jjnr[jidx+3];
329 /* Sign of each element will be negative for non-real atoms.
330 * This mask will be 0xFFFFFFFF for dummy entries and 0x0 for real ones,
331 * so use it as val = _mm_andnot_pd(mask,val) to clear dummy entries.
333 tmpmask0 = gmx_mm_castsi128_ps(_mm_cmplt_epi32(_mm_loadu_si128((const __m128i *)(jjnr+jidx)),_mm_setzero_si128()));
335 tmpmask1 = _mm_permute_ps(tmpmask0,_GMX_MM_PERMUTE(3,3,2,2));
336 tmpmask0 = _mm_permute_ps(tmpmask0,_GMX_MM_PERMUTE(1,1,0,0));
337 dummy_mask = _mm256_castps_pd(gmx_mm256_set_m128(tmpmask1,tmpmask0));
339 jnrA = (jnrlistA>=0) ? jnrlistA : 0;
340 jnrB = (jnrlistB>=0) ? jnrlistB : 0;
341 jnrC = (jnrlistC>=0) ? jnrlistC : 0;
342 jnrD = (jnrlistD>=0) ? jnrlistD : 0;
343 j_coord_offsetA = DIM*jnrA;
344 j_coord_offsetB = DIM*jnrB;
345 j_coord_offsetC = DIM*jnrC;
346 j_coord_offsetD = DIM*jnrD;
348 /* load j atom coordinates */
349 gmx_mm256_load_1rvec_4ptr_swizzle_pd(x+j_coord_offsetA,x+j_coord_offsetB,
350 x+j_coord_offsetC,x+j_coord_offsetD,
353 /* Calculate displacement vector */
354 dx00 = _mm256_sub_pd(ix0,jx0);
355 dy00 = _mm256_sub_pd(iy0,jy0);
356 dz00 = _mm256_sub_pd(iz0,jz0);
358 /* Calculate squared distance and things based on it */
359 rsq00 = gmx_mm256_calc_rsq_pd(dx00,dy00,dz00);
361 rinv00 = gmx_mm256_invsqrt_pd(rsq00);
363 rinvsq00 = _mm256_mul_pd(rinv00,rinv00);
365 /* Load parameters for j particles */
366 jq0 = gmx_mm256_load_4real_swizzle_pd(charge+jnrA+0,charge+jnrB+0,
367 charge+jnrC+0,charge+jnrD+0);
368 vdwjidx0A = 2*vdwtype[jnrA+0];
369 vdwjidx0B = 2*vdwtype[jnrB+0];
370 vdwjidx0C = 2*vdwtype[jnrC+0];
371 vdwjidx0D = 2*vdwtype[jnrD+0];
373 /**************************
374 * CALCULATE INTERACTIONS *
375 **************************/
377 if (gmx_mm256_any_lt(rsq00,rcutoff2))
380 r00 = _mm256_mul_pd(rsq00,rinv00);
381 r00 = _mm256_andnot_pd(dummy_mask,r00);
383 /* Compute parameters for interactions between i and j atoms */
384 qq00 = _mm256_mul_pd(iq0,jq0);
385 gmx_mm256_load_4pair_swizzle_pd(vdwioffsetptr0+vdwjidx0A,
386 vdwioffsetptr0+vdwjidx0B,
387 vdwioffsetptr0+vdwjidx0C,
388 vdwioffsetptr0+vdwjidx0D,
391 c6grid_00 = gmx_mm256_load_4real_swizzle_pd(vdwgridioffsetptr0+vdwjidx0A,
392 vdwgridioffsetptr0+vdwjidx0B,
393 vdwgridioffsetptr0+vdwjidx0C,
394 vdwgridioffsetptr0+vdwjidx0D);
396 /* EWALD ELECTROSTATICS */
398 /* Calculate Ewald table index by multiplying r with scale and truncate to integer */
399 ewrt = _mm256_mul_pd(r00,ewtabscale);
400 ewitab = _mm256_cvttpd_epi32(ewrt);
401 eweps = _mm256_sub_pd(ewrt,_mm256_round_pd(ewrt, _MM_FROUND_FLOOR));
402 ewitab = _mm_slli_epi32(ewitab,2);
403 ewtabF = _mm256_load_pd( ewtab + _mm_extract_epi32(ewitab,0) );
404 ewtabD = _mm256_load_pd( ewtab + _mm_extract_epi32(ewitab,1) );
405 ewtabV = _mm256_load_pd( ewtab + _mm_extract_epi32(ewitab,2) );
406 ewtabFn = _mm256_load_pd( ewtab + _mm_extract_epi32(ewitab,3) );
407 GMX_MM256_FULLTRANSPOSE4_PD(ewtabF,ewtabD,ewtabV,ewtabFn);
408 felec = _mm256_add_pd(ewtabF,_mm256_mul_pd(eweps,ewtabD));
409 velec = _mm256_sub_pd(ewtabV,_mm256_mul_pd(_mm256_mul_pd(ewtabhalfspace,eweps),_mm256_add_pd(ewtabF,felec)));
410 velec = _mm256_mul_pd(qq00,_mm256_sub_pd(_mm256_sub_pd(rinv00,sh_ewald),velec));
411 felec = _mm256_mul_pd(_mm256_mul_pd(qq00,rinv00),_mm256_sub_pd(rinvsq00,felec));
413 /* Analytical LJ-PME */
414 rinvsix = _mm256_mul_pd(_mm256_mul_pd(rinvsq00,rinvsq00),rinvsq00);
415 ewcljrsq = _mm256_mul_pd(ewclj2,rsq00);
416 ewclj6 = _mm256_mul_pd(ewclj2,_mm256_mul_pd(ewclj2,ewclj2));
417 exponent = gmx_simd_exp_d(ewcljrsq);
418 /* poly = exp(-(beta*r)^2) * (1 + (beta*r)^2 + (beta*r)^4 /2) */
419 poly = _mm256_mul_pd(exponent,_mm256_add_pd(_mm256_sub_pd(one,ewcljrsq),_mm256_mul_pd(_mm256_mul_pd(ewcljrsq,ewcljrsq),one_half)));
420 /* vvdw6 = [C6 - C6grid * (1-poly)]/r6 */
421 vvdw6 = _mm256_mul_pd(_mm256_sub_pd(c6_00,_mm256_mul_pd(c6grid_00,_mm256_sub_pd(one,poly))),rinvsix);
422 vvdw12 = _mm256_mul_pd(c12_00,_mm256_mul_pd(rinvsix,rinvsix));
423 vvdw = _mm256_sub_pd(_mm256_mul_pd( _mm256_sub_pd(vvdw12 , _mm256_mul_pd(c12_00,_mm256_mul_pd(sh_vdw_invrcut6,sh_vdw_invrcut6))), one_twelfth) ,
424 _mm256_mul_pd( _mm256_sub_pd(vvdw6,_mm256_add_pd(_mm256_mul_pd(c6_00,sh_vdw_invrcut6),_mm256_mul_pd(c6grid_00,sh_lj_ewald))),one_sixth));
425 /* fvdw = vvdw12/r - (vvdw6/r + (C6grid * exponent * beta^6)/r) */
426 fvdw = _mm256_mul_pd(_mm256_sub_pd(vvdw12,_mm256_sub_pd(vvdw6,_mm256_mul_pd(_mm256_mul_pd(c6grid_00,one_sixth),_mm256_mul_pd(exponent,ewclj6)))),rinvsq00);
428 cutoff_mask = _mm256_cmp_pd(rsq00,rcutoff2,_CMP_LT_OQ);
430 /* Update potential sum for this i atom from the interaction with this j atom. */
431 velec = _mm256_and_pd(velec,cutoff_mask);
432 velec = _mm256_andnot_pd(dummy_mask,velec);
433 velecsum = _mm256_add_pd(velecsum,velec);
434 vvdw = _mm256_and_pd(vvdw,cutoff_mask);
435 vvdw = _mm256_andnot_pd(dummy_mask,vvdw);
436 vvdwsum = _mm256_add_pd(vvdwsum,vvdw);
438 fscal = _mm256_add_pd(felec,fvdw);
440 fscal = _mm256_and_pd(fscal,cutoff_mask);
442 fscal = _mm256_andnot_pd(dummy_mask,fscal);
444 /* Calculate temporary vectorial force */
445 tx = _mm256_mul_pd(fscal,dx00);
446 ty = _mm256_mul_pd(fscal,dy00);
447 tz = _mm256_mul_pd(fscal,dz00);
449 /* Update vectorial force */
450 fix0 = _mm256_add_pd(fix0,tx);
451 fiy0 = _mm256_add_pd(fiy0,ty);
452 fiz0 = _mm256_add_pd(fiz0,tz);
454 fjptrA = (jnrlistA>=0) ? f+j_coord_offsetA : scratch;
455 fjptrB = (jnrlistB>=0) ? f+j_coord_offsetB : scratch;
456 fjptrC = (jnrlistC>=0) ? f+j_coord_offsetC : scratch;
457 fjptrD = (jnrlistD>=0) ? f+j_coord_offsetD : scratch;
458 gmx_mm256_decrement_1rvec_4ptr_swizzle_pd(fjptrA,fjptrB,fjptrC,fjptrD,tx,ty,tz);
462 /* Inner loop uses 83 flops */
465 /* End of innermost loop */
467 gmx_mm256_update_iforce_1atom_swizzle_pd(fix0,fiy0,fiz0,
468 f+i_coord_offset,fshift+i_shift_offset);
471 /* Update potential energies */
472 gmx_mm256_update_1pot_pd(velecsum,kernel_data->energygrp_elec+ggid);
473 gmx_mm256_update_1pot_pd(vvdwsum,kernel_data->energygrp_vdw+ggid);
475 /* Increment number of inner iterations */
476 inneriter += j_index_end - j_index_start;
478 /* Outer loop uses 9 flops */
481 /* Increment number of outer iterations */
484 /* Update outer/inner flops */
486 inc_nrnb(nrnb,eNR_NBKERNEL_ELEC_VDW_VF,outeriter*9 + inneriter*83);
489 * Gromacs nonbonded kernel: nb_kernel_ElecEwSh_VdwLJEwSh_GeomP1P1_F_avx_256_double
490 * Electrostatics interaction: Ewald
491 * VdW interaction: LJEwald
492 * Geometry: Particle-Particle
493 * Calculate force/pot: Force
496 nb_kernel_ElecEwSh_VdwLJEwSh_GeomP1P1_F_avx_256_double
497 (t_nblist * gmx_restrict nlist,
498 rvec * gmx_restrict xx,
499 rvec * gmx_restrict ff,
500 t_forcerec * gmx_restrict fr,
501 t_mdatoms * gmx_restrict mdatoms,
502 nb_kernel_data_t gmx_unused * gmx_restrict kernel_data,
503 t_nrnb * gmx_restrict nrnb)
505 /* Suffixes 0,1,2,3 refer to particle indices for waters in the inner or outer loop, or
506 * just 0 for non-waters.
507 * Suffixes A,B,C,D refer to j loop unrolling done with AVX, e.g. for the four different
508 * jnr indices corresponding to data put in the four positions in the SIMD register.
510 int i_shift_offset,i_coord_offset,outeriter,inneriter;
511 int j_index_start,j_index_end,jidx,nri,inr,ggid,iidx;
512 int jnrA,jnrB,jnrC,jnrD;
513 int jnrlistA,jnrlistB,jnrlistC,jnrlistD;
514 int jnrlistE,jnrlistF,jnrlistG,jnrlistH;
515 int j_coord_offsetA,j_coord_offsetB,j_coord_offsetC,j_coord_offsetD;
516 int *iinr,*jindex,*jjnr,*shiftidx,*gid;
518 real *shiftvec,*fshift,*x,*f;
519 real *fjptrA,*fjptrB,*fjptrC,*fjptrD;
521 __m256d tx,ty,tz,fscal,rcutoff,rcutoff2,jidxall;
522 real * vdwioffsetptr0;
523 real * vdwgridioffsetptr0;
524 __m256d ix0,iy0,iz0,fix0,fiy0,fiz0,iq0,isai0;
525 int vdwjidx0A,vdwjidx0B,vdwjidx0C,vdwjidx0D;
526 __m256d jx0,jy0,jz0,fjx0,fjy0,fjz0,jq0,isaj0;
527 __m256d dx00,dy00,dz00,rsq00,rinv00,rinvsq00,r00,qq00,c6_00,c12_00;
528 __m256d velec,felec,velecsum,facel,crf,krf,krf2;
531 __m256d rinvsix,rvdw,vvdw,vvdw6,vvdw12,fvdw,fvdw6,fvdw12,vvdwsum,sh_vdw_invrcut6;
534 __m256d one_sixth = _mm256_set1_pd(1.0/6.0);
535 __m256d one_twelfth = _mm256_set1_pd(1.0/12.0);
538 __m256d ewclj,ewclj2,ewclj6,ewcljrsq,poly,exponent,f6A,f6B,sh_lj_ewald;
539 __m256d one_half = _mm256_set1_pd(0.5);
540 __m256d minus_one = _mm256_set1_pd(-1.0);
542 __m256d ewtabscale,eweps,sh_ewald,ewrt,ewtabhalfspace,ewtabF,ewtabFn,ewtabD,ewtabV;
543 __m256d beta,beta2,beta3,zeta2,pmecorrF,pmecorrV,rinv3;
545 __m256d dummy_mask,cutoff_mask;
546 __m128 tmpmask0,tmpmask1;
547 __m256d signbit = _mm256_castsi256_pd( _mm256_set1_epi32(0x80000000) );
548 __m256d one = _mm256_set1_pd(1.0);
549 __m256d two = _mm256_set1_pd(2.0);
555 jindex = nlist->jindex;
557 shiftidx = nlist->shift;
559 shiftvec = fr->shift_vec[0];
560 fshift = fr->fshift[0];
561 facel = _mm256_set1_pd(fr->epsfac);
562 charge = mdatoms->chargeA;
563 nvdwtype = fr->ntype;
565 vdwtype = mdatoms->typeA;
566 vdwgridparam = fr->ljpme_c6grid;
567 sh_lj_ewald = _mm256_set1_pd(fr->ic->sh_lj_ewald);
568 ewclj = _mm256_set1_pd(fr->ewaldcoeff_lj);
569 ewclj2 = _mm256_mul_pd(minus_one,_mm256_mul_pd(ewclj,ewclj));
571 sh_ewald = _mm256_set1_pd(fr->ic->sh_ewald);
572 beta = _mm256_set1_pd(fr->ic->ewaldcoeff_q);
573 beta2 = _mm256_mul_pd(beta,beta);
574 beta3 = _mm256_mul_pd(beta,beta2);
576 ewtab = fr->ic->tabq_coul_F;
577 ewtabscale = _mm256_set1_pd(fr->ic->tabq_scale);
578 ewtabhalfspace = _mm256_set1_pd(0.5/fr->ic->tabq_scale);
580 /* When we use explicit cutoffs the value must be identical for elec and VdW, so use elec as an arbitrary choice */
581 rcutoff_scalar = fr->rcoulomb;
582 rcutoff = _mm256_set1_pd(rcutoff_scalar);
583 rcutoff2 = _mm256_mul_pd(rcutoff,rcutoff);
585 sh_vdw_invrcut6 = _mm256_set1_pd(fr->ic->sh_invrc6);
586 rvdw = _mm256_set1_pd(fr->rvdw);
588 /* Avoid stupid compiler warnings */
589 jnrA = jnrB = jnrC = jnrD = 0;
598 for(iidx=0;iidx<4*DIM;iidx++)
603 /* Start outer loop over neighborlists */
604 for(iidx=0; iidx<nri; iidx++)
606 /* Load shift vector for this list */
607 i_shift_offset = DIM*shiftidx[iidx];
609 /* Load limits for loop over neighbors */
610 j_index_start = jindex[iidx];
611 j_index_end = jindex[iidx+1];
613 /* Get outer coordinate index */
615 i_coord_offset = DIM*inr;
617 /* Load i particle coords and add shift vector */
618 gmx_mm256_load_shift_and_1rvec_broadcast_pd(shiftvec+i_shift_offset,x+i_coord_offset,&ix0,&iy0,&iz0);
620 fix0 = _mm256_setzero_pd();
621 fiy0 = _mm256_setzero_pd();
622 fiz0 = _mm256_setzero_pd();
624 /* Load parameters for i particles */
625 iq0 = _mm256_mul_pd(facel,_mm256_set1_pd(charge[inr+0]));
626 vdwioffsetptr0 = vdwparam+2*nvdwtype*vdwtype[inr+0];
627 vdwgridioffsetptr0 = vdwgridparam+2*nvdwtype*vdwtype[inr+0];
629 /* Start inner kernel loop */
630 for(jidx=j_index_start; jidx<j_index_end && jjnr[jidx+3]>=0; jidx+=4)
633 /* Get j neighbor index, and coordinate index */
638 j_coord_offsetA = DIM*jnrA;
639 j_coord_offsetB = DIM*jnrB;
640 j_coord_offsetC = DIM*jnrC;
641 j_coord_offsetD = DIM*jnrD;
643 /* load j atom coordinates */
644 gmx_mm256_load_1rvec_4ptr_swizzle_pd(x+j_coord_offsetA,x+j_coord_offsetB,
645 x+j_coord_offsetC,x+j_coord_offsetD,
648 /* Calculate displacement vector */
649 dx00 = _mm256_sub_pd(ix0,jx0);
650 dy00 = _mm256_sub_pd(iy0,jy0);
651 dz00 = _mm256_sub_pd(iz0,jz0);
653 /* Calculate squared distance and things based on it */
654 rsq00 = gmx_mm256_calc_rsq_pd(dx00,dy00,dz00);
656 rinv00 = gmx_mm256_invsqrt_pd(rsq00);
658 rinvsq00 = _mm256_mul_pd(rinv00,rinv00);
660 /* Load parameters for j particles */
661 jq0 = gmx_mm256_load_4real_swizzle_pd(charge+jnrA+0,charge+jnrB+0,
662 charge+jnrC+0,charge+jnrD+0);
663 vdwjidx0A = 2*vdwtype[jnrA+0];
664 vdwjidx0B = 2*vdwtype[jnrB+0];
665 vdwjidx0C = 2*vdwtype[jnrC+0];
666 vdwjidx0D = 2*vdwtype[jnrD+0];
668 /**************************
669 * CALCULATE INTERACTIONS *
670 **************************/
672 if (gmx_mm256_any_lt(rsq00,rcutoff2))
675 r00 = _mm256_mul_pd(rsq00,rinv00);
677 /* Compute parameters for interactions between i and j atoms */
678 qq00 = _mm256_mul_pd(iq0,jq0);
679 gmx_mm256_load_4pair_swizzle_pd(vdwioffsetptr0+vdwjidx0A,
680 vdwioffsetptr0+vdwjidx0B,
681 vdwioffsetptr0+vdwjidx0C,
682 vdwioffsetptr0+vdwjidx0D,
685 c6grid_00 = gmx_mm256_load_4real_swizzle_pd(vdwgridioffsetptr0+vdwjidx0A,
686 vdwgridioffsetptr0+vdwjidx0B,
687 vdwgridioffsetptr0+vdwjidx0C,
688 vdwgridioffsetptr0+vdwjidx0D);
690 /* EWALD ELECTROSTATICS */
692 /* Calculate Ewald table index by multiplying r with scale and truncate to integer */
693 ewrt = _mm256_mul_pd(r00,ewtabscale);
694 ewitab = _mm256_cvttpd_epi32(ewrt);
695 eweps = _mm256_sub_pd(ewrt,_mm256_round_pd(ewrt, _MM_FROUND_FLOOR));
696 gmx_mm256_load_4pair_swizzle_pd(ewtab + _mm_extract_epi32(ewitab,0),ewtab + _mm_extract_epi32(ewitab,1),
697 ewtab + _mm_extract_epi32(ewitab,2),ewtab + _mm_extract_epi32(ewitab,3),
699 felec = _mm256_add_pd(_mm256_mul_pd( _mm256_sub_pd(one,eweps),ewtabF),_mm256_mul_pd(eweps,ewtabFn));
700 felec = _mm256_mul_pd(_mm256_mul_pd(qq00,rinv00),_mm256_sub_pd(rinvsq00,felec));
702 /* Analytical LJ-PME */
703 rinvsix = _mm256_mul_pd(_mm256_mul_pd(rinvsq00,rinvsq00),rinvsq00);
704 ewcljrsq = _mm256_mul_pd(ewclj2,rsq00);
705 ewclj6 = _mm256_mul_pd(ewclj2,_mm256_mul_pd(ewclj2,ewclj2));
706 exponent = gmx_simd_exp_d(ewcljrsq);
707 /* poly = exp(-(beta*r)^2) * (1 + (beta*r)^2 + (beta*r)^4 /2) */
708 poly = _mm256_mul_pd(exponent,_mm256_add_pd(_mm256_sub_pd(one,ewcljrsq),_mm256_mul_pd(_mm256_mul_pd(ewcljrsq,ewcljrsq),one_half)));
709 /* f6A = 6 * C6grid * (1 - poly) */
710 f6A = _mm256_mul_pd(c6grid_00,_mm256_sub_pd(one,poly));
711 /* f6B = C6grid * exponent * beta^6 */
712 f6B = _mm256_mul_pd(_mm256_mul_pd(c6grid_00,one_sixth),_mm256_mul_pd(exponent,ewclj6));
713 /* fvdw = 12*C12/r13 - ((6*C6 - f6A)/r6 + f6B)/r */
714 fvdw = _mm256_mul_pd(_mm256_add_pd(_mm256_mul_pd(_mm256_sub_pd(_mm256_mul_pd(c12_00,rinvsix),_mm256_sub_pd(c6_00,f6A)),rinvsix),f6B),rinvsq00);
716 cutoff_mask = _mm256_cmp_pd(rsq00,rcutoff2,_CMP_LT_OQ);
718 fscal = _mm256_add_pd(felec,fvdw);
720 fscal = _mm256_and_pd(fscal,cutoff_mask);
722 /* Calculate temporary vectorial force */
723 tx = _mm256_mul_pd(fscal,dx00);
724 ty = _mm256_mul_pd(fscal,dy00);
725 tz = _mm256_mul_pd(fscal,dz00);
727 /* Update vectorial force */
728 fix0 = _mm256_add_pd(fix0,tx);
729 fiy0 = _mm256_add_pd(fiy0,ty);
730 fiz0 = _mm256_add_pd(fiz0,tz);
732 fjptrA = f+j_coord_offsetA;
733 fjptrB = f+j_coord_offsetB;
734 fjptrC = f+j_coord_offsetC;
735 fjptrD = f+j_coord_offsetD;
736 gmx_mm256_decrement_1rvec_4ptr_swizzle_pd(fjptrA,fjptrB,fjptrC,fjptrD,tx,ty,tz);
740 /* Inner loop uses 62 flops */
746 /* Get j neighbor index, and coordinate index */
747 jnrlistA = jjnr[jidx];
748 jnrlistB = jjnr[jidx+1];
749 jnrlistC = jjnr[jidx+2];
750 jnrlistD = jjnr[jidx+3];
751 /* Sign of each element will be negative for non-real atoms.
752 * This mask will be 0xFFFFFFFF for dummy entries and 0x0 for real ones,
753 * so use it as val = _mm_andnot_pd(mask,val) to clear dummy entries.
755 tmpmask0 = gmx_mm_castsi128_ps(_mm_cmplt_epi32(_mm_loadu_si128((const __m128i *)(jjnr+jidx)),_mm_setzero_si128()));
757 tmpmask1 = _mm_permute_ps(tmpmask0,_GMX_MM_PERMUTE(3,3,2,2));
758 tmpmask0 = _mm_permute_ps(tmpmask0,_GMX_MM_PERMUTE(1,1,0,0));
759 dummy_mask = _mm256_castps_pd(gmx_mm256_set_m128(tmpmask1,tmpmask0));
761 jnrA = (jnrlistA>=0) ? jnrlistA : 0;
762 jnrB = (jnrlistB>=0) ? jnrlistB : 0;
763 jnrC = (jnrlistC>=0) ? jnrlistC : 0;
764 jnrD = (jnrlistD>=0) ? jnrlistD : 0;
765 j_coord_offsetA = DIM*jnrA;
766 j_coord_offsetB = DIM*jnrB;
767 j_coord_offsetC = DIM*jnrC;
768 j_coord_offsetD = DIM*jnrD;
770 /* load j atom coordinates */
771 gmx_mm256_load_1rvec_4ptr_swizzle_pd(x+j_coord_offsetA,x+j_coord_offsetB,
772 x+j_coord_offsetC,x+j_coord_offsetD,
775 /* Calculate displacement vector */
776 dx00 = _mm256_sub_pd(ix0,jx0);
777 dy00 = _mm256_sub_pd(iy0,jy0);
778 dz00 = _mm256_sub_pd(iz0,jz0);
780 /* Calculate squared distance and things based on it */
781 rsq00 = gmx_mm256_calc_rsq_pd(dx00,dy00,dz00);
783 rinv00 = gmx_mm256_invsqrt_pd(rsq00);
785 rinvsq00 = _mm256_mul_pd(rinv00,rinv00);
787 /* Load parameters for j particles */
788 jq0 = gmx_mm256_load_4real_swizzle_pd(charge+jnrA+0,charge+jnrB+0,
789 charge+jnrC+0,charge+jnrD+0);
790 vdwjidx0A = 2*vdwtype[jnrA+0];
791 vdwjidx0B = 2*vdwtype[jnrB+0];
792 vdwjidx0C = 2*vdwtype[jnrC+0];
793 vdwjidx0D = 2*vdwtype[jnrD+0];
795 /**************************
796 * CALCULATE INTERACTIONS *
797 **************************/
799 if (gmx_mm256_any_lt(rsq00,rcutoff2))
802 r00 = _mm256_mul_pd(rsq00,rinv00);
803 r00 = _mm256_andnot_pd(dummy_mask,r00);
805 /* Compute parameters for interactions between i and j atoms */
806 qq00 = _mm256_mul_pd(iq0,jq0);
807 gmx_mm256_load_4pair_swizzle_pd(vdwioffsetptr0+vdwjidx0A,
808 vdwioffsetptr0+vdwjidx0B,
809 vdwioffsetptr0+vdwjidx0C,
810 vdwioffsetptr0+vdwjidx0D,
813 c6grid_00 = gmx_mm256_load_4real_swizzle_pd(vdwgridioffsetptr0+vdwjidx0A,
814 vdwgridioffsetptr0+vdwjidx0B,
815 vdwgridioffsetptr0+vdwjidx0C,
816 vdwgridioffsetptr0+vdwjidx0D);
818 /* EWALD ELECTROSTATICS */
820 /* Calculate Ewald table index by multiplying r with scale and truncate to integer */
821 ewrt = _mm256_mul_pd(r00,ewtabscale);
822 ewitab = _mm256_cvttpd_epi32(ewrt);
823 eweps = _mm256_sub_pd(ewrt,_mm256_round_pd(ewrt, _MM_FROUND_FLOOR));
824 gmx_mm256_load_4pair_swizzle_pd(ewtab + _mm_extract_epi32(ewitab,0),ewtab + _mm_extract_epi32(ewitab,1),
825 ewtab + _mm_extract_epi32(ewitab,2),ewtab + _mm_extract_epi32(ewitab,3),
827 felec = _mm256_add_pd(_mm256_mul_pd( _mm256_sub_pd(one,eweps),ewtabF),_mm256_mul_pd(eweps,ewtabFn));
828 felec = _mm256_mul_pd(_mm256_mul_pd(qq00,rinv00),_mm256_sub_pd(rinvsq00,felec));
830 /* Analytical LJ-PME */
831 rinvsix = _mm256_mul_pd(_mm256_mul_pd(rinvsq00,rinvsq00),rinvsq00);
832 ewcljrsq = _mm256_mul_pd(ewclj2,rsq00);
833 ewclj6 = _mm256_mul_pd(ewclj2,_mm256_mul_pd(ewclj2,ewclj2));
834 exponent = gmx_simd_exp_d(ewcljrsq);
835 /* poly = exp(-(beta*r)^2) * (1 + (beta*r)^2 + (beta*r)^4 /2) */
836 poly = _mm256_mul_pd(exponent,_mm256_add_pd(_mm256_sub_pd(one,ewcljrsq),_mm256_mul_pd(_mm256_mul_pd(ewcljrsq,ewcljrsq),one_half)));
837 /* f6A = 6 * C6grid * (1 - poly) */
838 f6A = _mm256_mul_pd(c6grid_00,_mm256_sub_pd(one,poly));
839 /* f6B = C6grid * exponent * beta^6 */
840 f6B = _mm256_mul_pd(_mm256_mul_pd(c6grid_00,one_sixth),_mm256_mul_pd(exponent,ewclj6));
841 /* fvdw = 12*C12/r13 - ((6*C6 - f6A)/r6 + f6B)/r */
842 fvdw = _mm256_mul_pd(_mm256_add_pd(_mm256_mul_pd(_mm256_sub_pd(_mm256_mul_pd(c12_00,rinvsix),_mm256_sub_pd(c6_00,f6A)),rinvsix),f6B),rinvsq00);
844 cutoff_mask = _mm256_cmp_pd(rsq00,rcutoff2,_CMP_LT_OQ);
846 fscal = _mm256_add_pd(felec,fvdw);
848 fscal = _mm256_and_pd(fscal,cutoff_mask);
850 fscal = _mm256_andnot_pd(dummy_mask,fscal);
852 /* Calculate temporary vectorial force */
853 tx = _mm256_mul_pd(fscal,dx00);
854 ty = _mm256_mul_pd(fscal,dy00);
855 tz = _mm256_mul_pd(fscal,dz00);
857 /* Update vectorial force */
858 fix0 = _mm256_add_pd(fix0,tx);
859 fiy0 = _mm256_add_pd(fiy0,ty);
860 fiz0 = _mm256_add_pd(fiz0,tz);
862 fjptrA = (jnrlistA>=0) ? f+j_coord_offsetA : scratch;
863 fjptrB = (jnrlistB>=0) ? f+j_coord_offsetB : scratch;
864 fjptrC = (jnrlistC>=0) ? f+j_coord_offsetC : scratch;
865 fjptrD = (jnrlistD>=0) ? f+j_coord_offsetD : scratch;
866 gmx_mm256_decrement_1rvec_4ptr_swizzle_pd(fjptrA,fjptrB,fjptrC,fjptrD,tx,ty,tz);
870 /* Inner loop uses 63 flops */
873 /* End of innermost loop */
875 gmx_mm256_update_iforce_1atom_swizzle_pd(fix0,fiy0,fiz0,
876 f+i_coord_offset,fshift+i_shift_offset);
878 /* Increment number of inner iterations */
879 inneriter += j_index_end - j_index_start;
881 /* Outer loop uses 7 flops */
884 /* Increment number of outer iterations */
887 /* Update outer/inner flops */
889 inc_nrnb(nrnb,eNR_NBKERNEL_ELEC_VDW_F,outeriter*7 + inneriter*63);