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36 * Note: this file was generated by the GROMACS avx_256_double kernel generator.
44 #include "../nb_kernel.h"
45 #include "gromacs/gmxlib/nrnb.h"
47 #include "kernelutil_x86_avx_256_double.h"
50 * Gromacs nonbonded kernel: nb_kernel_ElecEwSh_VdwLJEwSh_GeomP1P1_VF_avx_256_double
51 * Electrostatics interaction: Ewald
52 * VdW interaction: LJEwald
53 * Geometry: Particle-Particle
54 * Calculate force/pot: PotentialAndForce
57 nb_kernel_ElecEwSh_VdwLJEwSh_GeomP1P1_VF_avx_256_double
58 (t_nblist * gmx_restrict nlist,
59 rvec * gmx_restrict xx,
60 rvec * gmx_restrict ff,
61 struct t_forcerec * gmx_restrict fr,
62 t_mdatoms * gmx_restrict mdatoms,
63 nb_kernel_data_t gmx_unused * gmx_restrict kernel_data,
64 t_nrnb * gmx_restrict nrnb)
66 /* Suffixes 0,1,2,3 refer to particle indices for waters in the inner or outer loop, or
67 * just 0 for non-waters.
68 * Suffixes A,B,C,D refer to j loop unrolling done with AVX, e.g. for the four different
69 * jnr indices corresponding to data put in the four positions in the SIMD register.
71 int i_shift_offset,i_coord_offset,outeriter,inneriter;
72 int j_index_start,j_index_end,jidx,nri,inr,ggid,iidx;
73 int jnrA,jnrB,jnrC,jnrD;
74 int jnrlistA,jnrlistB,jnrlistC,jnrlistD;
75 int jnrlistE,jnrlistF,jnrlistG,jnrlistH;
76 int j_coord_offsetA,j_coord_offsetB,j_coord_offsetC,j_coord_offsetD;
77 int *iinr,*jindex,*jjnr,*shiftidx,*gid;
79 real *shiftvec,*fshift,*x,*f;
80 real *fjptrA,*fjptrB,*fjptrC,*fjptrD;
82 __m256d tx,ty,tz,fscal,rcutoff,rcutoff2,jidxall;
83 real * vdwioffsetptr0;
84 real * vdwgridioffsetptr0;
85 __m256d ix0,iy0,iz0,fix0,fiy0,fiz0,iq0,isai0;
86 int vdwjidx0A,vdwjidx0B,vdwjidx0C,vdwjidx0D;
87 __m256d jx0,jy0,jz0,fjx0,fjy0,fjz0,jq0,isaj0;
88 __m256d dx00,dy00,dz00,rsq00,rinv00,rinvsq00,r00,qq00,c6_00,c12_00;
89 __m256d velec,felec,velecsum,facel,crf,krf,krf2;
92 __m256d rinvsix,rvdw,vvdw,vvdw6,vvdw12,fvdw,fvdw6,fvdw12,vvdwsum,sh_vdw_invrcut6;
95 __m256d one_sixth = _mm256_set1_pd(1.0/6.0);
96 __m256d one_twelfth = _mm256_set1_pd(1.0/12.0);
99 __m256d ewclj,ewclj2,ewclj6,ewcljrsq,poly,exponent,f6A,f6B,sh_lj_ewald;
100 __m256d one_half = _mm256_set1_pd(0.5);
101 __m256d minus_one = _mm256_set1_pd(-1.0);
103 __m256d ewtabscale,eweps,sh_ewald,ewrt,ewtabhalfspace,ewtabF,ewtabFn,ewtabD,ewtabV;
104 __m256d beta,beta2,beta3,zeta2,pmecorrF,pmecorrV,rinv3;
106 __m256d dummy_mask,cutoff_mask;
107 __m128 tmpmask0,tmpmask1;
108 __m256d signbit = _mm256_castsi256_pd( _mm256_set1_epi32(0x80000000) );
109 __m256d one = _mm256_set1_pd(1.0);
110 __m256d two = _mm256_set1_pd(2.0);
116 jindex = nlist->jindex;
118 shiftidx = nlist->shift;
120 shiftvec = fr->shift_vec[0];
121 fshift = fr->fshift[0];
122 facel = _mm256_set1_pd(fr->ic->epsfac);
123 charge = mdatoms->chargeA;
124 nvdwtype = fr->ntype;
126 vdwtype = mdatoms->typeA;
127 vdwgridparam = fr->ljpme_c6grid;
128 sh_lj_ewald = _mm256_set1_pd(fr->ic->sh_lj_ewald);
129 ewclj = _mm256_set1_pd(fr->ic->ewaldcoeff_lj);
130 ewclj2 = _mm256_mul_pd(minus_one,_mm256_mul_pd(ewclj,ewclj));
132 sh_ewald = _mm256_set1_pd(fr->ic->sh_ewald);
133 beta = _mm256_set1_pd(fr->ic->ewaldcoeff_q);
134 beta2 = _mm256_mul_pd(beta,beta);
135 beta3 = _mm256_mul_pd(beta,beta2);
137 ewtab = fr->ic->tabq_coul_FDV0;
138 ewtabscale = _mm256_set1_pd(fr->ic->tabq_scale);
139 ewtabhalfspace = _mm256_set1_pd(0.5/fr->ic->tabq_scale);
141 /* When we use explicit cutoffs the value must be identical for elec and VdW, so use elec as an arbitrary choice */
142 rcutoff_scalar = fr->ic->rcoulomb;
143 rcutoff = _mm256_set1_pd(rcutoff_scalar);
144 rcutoff2 = _mm256_mul_pd(rcutoff,rcutoff);
146 sh_vdw_invrcut6 = _mm256_set1_pd(fr->ic->sh_invrc6);
147 rvdw = _mm256_set1_pd(fr->ic->rvdw);
149 /* Avoid stupid compiler warnings */
150 jnrA = jnrB = jnrC = jnrD = 0;
159 for(iidx=0;iidx<4*DIM;iidx++)
164 /* Start outer loop over neighborlists */
165 for(iidx=0; iidx<nri; iidx++)
167 /* Load shift vector for this list */
168 i_shift_offset = DIM*shiftidx[iidx];
170 /* Load limits for loop over neighbors */
171 j_index_start = jindex[iidx];
172 j_index_end = jindex[iidx+1];
174 /* Get outer coordinate index */
176 i_coord_offset = DIM*inr;
178 /* Load i particle coords and add shift vector */
179 gmx_mm256_load_shift_and_1rvec_broadcast_pd(shiftvec+i_shift_offset,x+i_coord_offset,&ix0,&iy0,&iz0);
181 fix0 = _mm256_setzero_pd();
182 fiy0 = _mm256_setzero_pd();
183 fiz0 = _mm256_setzero_pd();
185 /* Load parameters for i particles */
186 iq0 = _mm256_mul_pd(facel,_mm256_set1_pd(charge[inr+0]));
187 vdwioffsetptr0 = vdwparam+2*nvdwtype*vdwtype[inr+0];
188 vdwgridioffsetptr0 = vdwgridparam+2*nvdwtype*vdwtype[inr+0];
190 /* Reset potential sums */
191 velecsum = _mm256_setzero_pd();
192 vvdwsum = _mm256_setzero_pd();
194 /* Start inner kernel loop */
195 for(jidx=j_index_start; jidx<j_index_end && jjnr[jidx+3]>=0; jidx+=4)
198 /* Get j neighbor index, and coordinate index */
203 j_coord_offsetA = DIM*jnrA;
204 j_coord_offsetB = DIM*jnrB;
205 j_coord_offsetC = DIM*jnrC;
206 j_coord_offsetD = DIM*jnrD;
208 /* load j atom coordinates */
209 gmx_mm256_load_1rvec_4ptr_swizzle_pd(x+j_coord_offsetA,x+j_coord_offsetB,
210 x+j_coord_offsetC,x+j_coord_offsetD,
213 /* Calculate displacement vector */
214 dx00 = _mm256_sub_pd(ix0,jx0);
215 dy00 = _mm256_sub_pd(iy0,jy0);
216 dz00 = _mm256_sub_pd(iz0,jz0);
218 /* Calculate squared distance and things based on it */
219 rsq00 = gmx_mm256_calc_rsq_pd(dx00,dy00,dz00);
221 rinv00 = avx256_invsqrt_d(rsq00);
223 rinvsq00 = _mm256_mul_pd(rinv00,rinv00);
225 /* Load parameters for j particles */
226 jq0 = gmx_mm256_load_4real_swizzle_pd(charge+jnrA+0,charge+jnrB+0,
227 charge+jnrC+0,charge+jnrD+0);
228 vdwjidx0A = 2*vdwtype[jnrA+0];
229 vdwjidx0B = 2*vdwtype[jnrB+0];
230 vdwjidx0C = 2*vdwtype[jnrC+0];
231 vdwjidx0D = 2*vdwtype[jnrD+0];
233 /**************************
234 * CALCULATE INTERACTIONS *
235 **************************/
237 if (gmx_mm256_any_lt(rsq00,rcutoff2))
240 r00 = _mm256_mul_pd(rsq00,rinv00);
242 /* Compute parameters for interactions between i and j atoms */
243 qq00 = _mm256_mul_pd(iq0,jq0);
244 gmx_mm256_load_4pair_swizzle_pd(vdwioffsetptr0+vdwjidx0A,
245 vdwioffsetptr0+vdwjidx0B,
246 vdwioffsetptr0+vdwjidx0C,
247 vdwioffsetptr0+vdwjidx0D,
250 c6grid_00 = gmx_mm256_load_4real_swizzle_pd(vdwgridioffsetptr0+vdwjidx0A,
251 vdwgridioffsetptr0+vdwjidx0B,
252 vdwgridioffsetptr0+vdwjidx0C,
253 vdwgridioffsetptr0+vdwjidx0D);
255 /* EWALD ELECTROSTATICS */
257 /* Calculate Ewald table index by multiplying r with scale and truncate to integer */
258 ewrt = _mm256_mul_pd(r00,ewtabscale);
259 ewitab = _mm256_cvttpd_epi32(ewrt);
260 eweps = _mm256_sub_pd(ewrt,_mm256_round_pd(ewrt, _MM_FROUND_FLOOR));
261 ewitab = _mm_slli_epi32(ewitab,2);
262 ewtabF = _mm256_load_pd( ewtab + _mm_extract_epi32(ewitab,0) );
263 ewtabD = _mm256_load_pd( ewtab + _mm_extract_epi32(ewitab,1) );
264 ewtabV = _mm256_load_pd( ewtab + _mm_extract_epi32(ewitab,2) );
265 ewtabFn = _mm256_load_pd( ewtab + _mm_extract_epi32(ewitab,3) );
266 GMX_MM256_FULLTRANSPOSE4_PD(ewtabF,ewtabD,ewtabV,ewtabFn);
267 felec = _mm256_add_pd(ewtabF,_mm256_mul_pd(eweps,ewtabD));
268 velec = _mm256_sub_pd(ewtabV,_mm256_mul_pd(_mm256_mul_pd(ewtabhalfspace,eweps),_mm256_add_pd(ewtabF,felec)));
269 velec = _mm256_mul_pd(qq00,_mm256_sub_pd(_mm256_sub_pd(rinv00,sh_ewald),velec));
270 felec = _mm256_mul_pd(_mm256_mul_pd(qq00,rinv00),_mm256_sub_pd(rinvsq00,felec));
272 /* Analytical LJ-PME */
273 rinvsix = _mm256_mul_pd(_mm256_mul_pd(rinvsq00,rinvsq00),rinvsq00);
274 ewcljrsq = _mm256_mul_pd(ewclj2,rsq00);
275 ewclj6 = _mm256_mul_pd(ewclj2,_mm256_mul_pd(ewclj2,ewclj2));
276 exponent = avx256_exp_d(ewcljrsq);
277 /* poly = exp(-(beta*r)^2) * (1 + (beta*r)^2 + (beta*r)^4 /2) */
278 poly = _mm256_mul_pd(exponent,_mm256_add_pd(_mm256_sub_pd(one,ewcljrsq),_mm256_mul_pd(_mm256_mul_pd(ewcljrsq,ewcljrsq),one_half)));
279 /* vvdw6 = [C6 - C6grid * (1-poly)]/r6 */
280 vvdw6 = _mm256_mul_pd(_mm256_sub_pd(c6_00,_mm256_mul_pd(c6grid_00,_mm256_sub_pd(one,poly))),rinvsix);
281 vvdw12 = _mm256_mul_pd(c12_00,_mm256_mul_pd(rinvsix,rinvsix));
282 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) ,
283 _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));
284 /* fvdw = vvdw12/r - (vvdw6/r + (C6grid * exponent * beta^6)/r) */
285 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);
287 cutoff_mask = _mm256_cmp_pd(rsq00,rcutoff2,_CMP_LT_OQ);
289 /* Update potential sum for this i atom from the interaction with this j atom. */
290 velec = _mm256_and_pd(velec,cutoff_mask);
291 velecsum = _mm256_add_pd(velecsum,velec);
292 vvdw = _mm256_and_pd(vvdw,cutoff_mask);
293 vvdwsum = _mm256_add_pd(vvdwsum,vvdw);
295 fscal = _mm256_add_pd(felec,fvdw);
297 fscal = _mm256_and_pd(fscal,cutoff_mask);
299 /* Calculate temporary vectorial force */
300 tx = _mm256_mul_pd(fscal,dx00);
301 ty = _mm256_mul_pd(fscal,dy00);
302 tz = _mm256_mul_pd(fscal,dz00);
304 /* Update vectorial force */
305 fix0 = _mm256_add_pd(fix0,tx);
306 fiy0 = _mm256_add_pd(fiy0,ty);
307 fiz0 = _mm256_add_pd(fiz0,tz);
309 fjptrA = f+j_coord_offsetA;
310 fjptrB = f+j_coord_offsetB;
311 fjptrC = f+j_coord_offsetC;
312 fjptrD = f+j_coord_offsetD;
313 gmx_mm256_decrement_1rvec_4ptr_swizzle_pd(fjptrA,fjptrB,fjptrC,fjptrD,tx,ty,tz);
317 /* Inner loop uses 82 flops */
323 /* Get j neighbor index, and coordinate index */
324 jnrlistA = jjnr[jidx];
325 jnrlistB = jjnr[jidx+1];
326 jnrlistC = jjnr[jidx+2];
327 jnrlistD = jjnr[jidx+3];
328 /* Sign of each element will be negative for non-real atoms.
329 * This mask will be 0xFFFFFFFF for dummy entries and 0x0 for real ones,
330 * so use it as val = _mm_andnot_pd(mask,val) to clear dummy entries.
332 tmpmask0 = gmx_mm_castsi128_ps(_mm_cmplt_epi32(_mm_loadu_si128((const __m128i *)(jjnr+jidx)),_mm_setzero_si128()));
334 tmpmask1 = _mm_permute_ps(tmpmask0,_GMX_MM_PERMUTE(3,3,2,2));
335 tmpmask0 = _mm_permute_ps(tmpmask0,_GMX_MM_PERMUTE(1,1,0,0));
336 dummy_mask = _mm256_castps_pd(gmx_mm256_set_m128(tmpmask1,tmpmask0));
338 jnrA = (jnrlistA>=0) ? jnrlistA : 0;
339 jnrB = (jnrlistB>=0) ? jnrlistB : 0;
340 jnrC = (jnrlistC>=0) ? jnrlistC : 0;
341 jnrD = (jnrlistD>=0) ? jnrlistD : 0;
342 j_coord_offsetA = DIM*jnrA;
343 j_coord_offsetB = DIM*jnrB;
344 j_coord_offsetC = DIM*jnrC;
345 j_coord_offsetD = DIM*jnrD;
347 /* load j atom coordinates */
348 gmx_mm256_load_1rvec_4ptr_swizzle_pd(x+j_coord_offsetA,x+j_coord_offsetB,
349 x+j_coord_offsetC,x+j_coord_offsetD,
352 /* Calculate displacement vector */
353 dx00 = _mm256_sub_pd(ix0,jx0);
354 dy00 = _mm256_sub_pd(iy0,jy0);
355 dz00 = _mm256_sub_pd(iz0,jz0);
357 /* Calculate squared distance and things based on it */
358 rsq00 = gmx_mm256_calc_rsq_pd(dx00,dy00,dz00);
360 rinv00 = avx256_invsqrt_d(rsq00);
362 rinvsq00 = _mm256_mul_pd(rinv00,rinv00);
364 /* Load parameters for j particles */
365 jq0 = gmx_mm256_load_4real_swizzle_pd(charge+jnrA+0,charge+jnrB+0,
366 charge+jnrC+0,charge+jnrD+0);
367 vdwjidx0A = 2*vdwtype[jnrA+0];
368 vdwjidx0B = 2*vdwtype[jnrB+0];
369 vdwjidx0C = 2*vdwtype[jnrC+0];
370 vdwjidx0D = 2*vdwtype[jnrD+0];
372 /**************************
373 * CALCULATE INTERACTIONS *
374 **************************/
376 if (gmx_mm256_any_lt(rsq00,rcutoff2))
379 r00 = _mm256_mul_pd(rsq00,rinv00);
380 r00 = _mm256_andnot_pd(dummy_mask,r00);
382 /* Compute parameters for interactions between i and j atoms */
383 qq00 = _mm256_mul_pd(iq0,jq0);
384 gmx_mm256_load_4pair_swizzle_pd(vdwioffsetptr0+vdwjidx0A,
385 vdwioffsetptr0+vdwjidx0B,
386 vdwioffsetptr0+vdwjidx0C,
387 vdwioffsetptr0+vdwjidx0D,
390 c6grid_00 = gmx_mm256_load_4real_swizzle_pd(vdwgridioffsetptr0+vdwjidx0A,
391 vdwgridioffsetptr0+vdwjidx0B,
392 vdwgridioffsetptr0+vdwjidx0C,
393 vdwgridioffsetptr0+vdwjidx0D);
395 /* EWALD ELECTROSTATICS */
397 /* Calculate Ewald table index by multiplying r with scale and truncate to integer */
398 ewrt = _mm256_mul_pd(r00,ewtabscale);
399 ewitab = _mm256_cvttpd_epi32(ewrt);
400 eweps = _mm256_sub_pd(ewrt,_mm256_round_pd(ewrt, _MM_FROUND_FLOOR));
401 ewitab = _mm_slli_epi32(ewitab,2);
402 ewtabF = _mm256_load_pd( ewtab + _mm_extract_epi32(ewitab,0) );
403 ewtabD = _mm256_load_pd( ewtab + _mm_extract_epi32(ewitab,1) );
404 ewtabV = _mm256_load_pd( ewtab + _mm_extract_epi32(ewitab,2) );
405 ewtabFn = _mm256_load_pd( ewtab + _mm_extract_epi32(ewitab,3) );
406 GMX_MM256_FULLTRANSPOSE4_PD(ewtabF,ewtabD,ewtabV,ewtabFn);
407 felec = _mm256_add_pd(ewtabF,_mm256_mul_pd(eweps,ewtabD));
408 velec = _mm256_sub_pd(ewtabV,_mm256_mul_pd(_mm256_mul_pd(ewtabhalfspace,eweps),_mm256_add_pd(ewtabF,felec)));
409 velec = _mm256_mul_pd(qq00,_mm256_sub_pd(_mm256_sub_pd(rinv00,sh_ewald),velec));
410 felec = _mm256_mul_pd(_mm256_mul_pd(qq00,rinv00),_mm256_sub_pd(rinvsq00,felec));
412 /* Analytical LJ-PME */
413 rinvsix = _mm256_mul_pd(_mm256_mul_pd(rinvsq00,rinvsq00),rinvsq00);
414 ewcljrsq = _mm256_mul_pd(ewclj2,rsq00);
415 ewclj6 = _mm256_mul_pd(ewclj2,_mm256_mul_pd(ewclj2,ewclj2));
416 exponent = avx256_exp_d(ewcljrsq);
417 /* poly = exp(-(beta*r)^2) * (1 + (beta*r)^2 + (beta*r)^4 /2) */
418 poly = _mm256_mul_pd(exponent,_mm256_add_pd(_mm256_sub_pd(one,ewcljrsq),_mm256_mul_pd(_mm256_mul_pd(ewcljrsq,ewcljrsq),one_half)));
419 /* vvdw6 = [C6 - C6grid * (1-poly)]/r6 */
420 vvdw6 = _mm256_mul_pd(_mm256_sub_pd(c6_00,_mm256_mul_pd(c6grid_00,_mm256_sub_pd(one,poly))),rinvsix);
421 vvdw12 = _mm256_mul_pd(c12_00,_mm256_mul_pd(rinvsix,rinvsix));
422 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) ,
423 _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));
424 /* fvdw = vvdw12/r - (vvdw6/r + (C6grid * exponent * beta^6)/r) */
425 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);
427 cutoff_mask = _mm256_cmp_pd(rsq00,rcutoff2,_CMP_LT_OQ);
429 /* Update potential sum for this i atom from the interaction with this j atom. */
430 velec = _mm256_and_pd(velec,cutoff_mask);
431 velec = _mm256_andnot_pd(dummy_mask,velec);
432 velecsum = _mm256_add_pd(velecsum,velec);
433 vvdw = _mm256_and_pd(vvdw,cutoff_mask);
434 vvdw = _mm256_andnot_pd(dummy_mask,vvdw);
435 vvdwsum = _mm256_add_pd(vvdwsum,vvdw);
437 fscal = _mm256_add_pd(felec,fvdw);
439 fscal = _mm256_and_pd(fscal,cutoff_mask);
441 fscal = _mm256_andnot_pd(dummy_mask,fscal);
443 /* Calculate temporary vectorial force */
444 tx = _mm256_mul_pd(fscal,dx00);
445 ty = _mm256_mul_pd(fscal,dy00);
446 tz = _mm256_mul_pd(fscal,dz00);
448 /* Update vectorial force */
449 fix0 = _mm256_add_pd(fix0,tx);
450 fiy0 = _mm256_add_pd(fiy0,ty);
451 fiz0 = _mm256_add_pd(fiz0,tz);
453 fjptrA = (jnrlistA>=0) ? f+j_coord_offsetA : scratch;
454 fjptrB = (jnrlistB>=0) ? f+j_coord_offsetB : scratch;
455 fjptrC = (jnrlistC>=0) ? f+j_coord_offsetC : scratch;
456 fjptrD = (jnrlistD>=0) ? f+j_coord_offsetD : scratch;
457 gmx_mm256_decrement_1rvec_4ptr_swizzle_pd(fjptrA,fjptrB,fjptrC,fjptrD,tx,ty,tz);
461 /* Inner loop uses 83 flops */
464 /* End of innermost loop */
466 gmx_mm256_update_iforce_1atom_swizzle_pd(fix0,fiy0,fiz0,
467 f+i_coord_offset,fshift+i_shift_offset);
470 /* Update potential energies */
471 gmx_mm256_update_1pot_pd(velecsum,kernel_data->energygrp_elec+ggid);
472 gmx_mm256_update_1pot_pd(vvdwsum,kernel_data->energygrp_vdw+ggid);
474 /* Increment number of inner iterations */
475 inneriter += j_index_end - j_index_start;
477 /* Outer loop uses 9 flops */
480 /* Increment number of outer iterations */
483 /* Update outer/inner flops */
485 inc_nrnb(nrnb,eNR_NBKERNEL_ELEC_VDW_VF,outeriter*9 + inneriter*83);
488 * Gromacs nonbonded kernel: nb_kernel_ElecEwSh_VdwLJEwSh_GeomP1P1_F_avx_256_double
489 * Electrostatics interaction: Ewald
490 * VdW interaction: LJEwald
491 * Geometry: Particle-Particle
492 * Calculate force/pot: Force
495 nb_kernel_ElecEwSh_VdwLJEwSh_GeomP1P1_F_avx_256_double
496 (t_nblist * gmx_restrict nlist,
497 rvec * gmx_restrict xx,
498 rvec * gmx_restrict ff,
499 struct t_forcerec * gmx_restrict fr,
500 t_mdatoms * gmx_restrict mdatoms,
501 nb_kernel_data_t gmx_unused * gmx_restrict kernel_data,
502 t_nrnb * gmx_restrict nrnb)
504 /* Suffixes 0,1,2,3 refer to particle indices for waters in the inner or outer loop, or
505 * just 0 for non-waters.
506 * Suffixes A,B,C,D refer to j loop unrolling done with AVX, e.g. for the four different
507 * jnr indices corresponding to data put in the four positions in the SIMD register.
509 int i_shift_offset,i_coord_offset,outeriter,inneriter;
510 int j_index_start,j_index_end,jidx,nri,inr,ggid,iidx;
511 int jnrA,jnrB,jnrC,jnrD;
512 int jnrlistA,jnrlistB,jnrlistC,jnrlistD;
513 int jnrlistE,jnrlistF,jnrlistG,jnrlistH;
514 int j_coord_offsetA,j_coord_offsetB,j_coord_offsetC,j_coord_offsetD;
515 int *iinr,*jindex,*jjnr,*shiftidx,*gid;
517 real *shiftvec,*fshift,*x,*f;
518 real *fjptrA,*fjptrB,*fjptrC,*fjptrD;
520 __m256d tx,ty,tz,fscal,rcutoff,rcutoff2,jidxall;
521 real * vdwioffsetptr0;
522 real * vdwgridioffsetptr0;
523 __m256d ix0,iy0,iz0,fix0,fiy0,fiz0,iq0,isai0;
524 int vdwjidx0A,vdwjidx0B,vdwjidx0C,vdwjidx0D;
525 __m256d jx0,jy0,jz0,fjx0,fjy0,fjz0,jq0,isaj0;
526 __m256d dx00,dy00,dz00,rsq00,rinv00,rinvsq00,r00,qq00,c6_00,c12_00;
527 __m256d velec,felec,velecsum,facel,crf,krf,krf2;
530 __m256d rinvsix,rvdw,vvdw,vvdw6,vvdw12,fvdw,fvdw6,fvdw12,vvdwsum,sh_vdw_invrcut6;
533 __m256d one_sixth = _mm256_set1_pd(1.0/6.0);
534 __m256d one_twelfth = _mm256_set1_pd(1.0/12.0);
537 __m256d ewclj,ewclj2,ewclj6,ewcljrsq,poly,exponent,f6A,f6B,sh_lj_ewald;
538 __m256d one_half = _mm256_set1_pd(0.5);
539 __m256d minus_one = _mm256_set1_pd(-1.0);
541 __m256d ewtabscale,eweps,sh_ewald,ewrt,ewtabhalfspace,ewtabF,ewtabFn,ewtabD,ewtabV;
542 __m256d beta,beta2,beta3,zeta2,pmecorrF,pmecorrV,rinv3;
544 __m256d dummy_mask,cutoff_mask;
545 __m128 tmpmask0,tmpmask1;
546 __m256d signbit = _mm256_castsi256_pd( _mm256_set1_epi32(0x80000000) );
547 __m256d one = _mm256_set1_pd(1.0);
548 __m256d two = _mm256_set1_pd(2.0);
554 jindex = nlist->jindex;
556 shiftidx = nlist->shift;
558 shiftvec = fr->shift_vec[0];
559 fshift = fr->fshift[0];
560 facel = _mm256_set1_pd(fr->ic->epsfac);
561 charge = mdatoms->chargeA;
562 nvdwtype = fr->ntype;
564 vdwtype = mdatoms->typeA;
565 vdwgridparam = fr->ljpme_c6grid;
566 sh_lj_ewald = _mm256_set1_pd(fr->ic->sh_lj_ewald);
567 ewclj = _mm256_set1_pd(fr->ic->ewaldcoeff_lj);
568 ewclj2 = _mm256_mul_pd(minus_one,_mm256_mul_pd(ewclj,ewclj));
570 sh_ewald = _mm256_set1_pd(fr->ic->sh_ewald);
571 beta = _mm256_set1_pd(fr->ic->ewaldcoeff_q);
572 beta2 = _mm256_mul_pd(beta,beta);
573 beta3 = _mm256_mul_pd(beta,beta2);
575 ewtab = fr->ic->tabq_coul_F;
576 ewtabscale = _mm256_set1_pd(fr->ic->tabq_scale);
577 ewtabhalfspace = _mm256_set1_pd(0.5/fr->ic->tabq_scale);
579 /* When we use explicit cutoffs the value must be identical for elec and VdW, so use elec as an arbitrary choice */
580 rcutoff_scalar = fr->ic->rcoulomb;
581 rcutoff = _mm256_set1_pd(rcutoff_scalar);
582 rcutoff2 = _mm256_mul_pd(rcutoff,rcutoff);
584 sh_vdw_invrcut6 = _mm256_set1_pd(fr->ic->sh_invrc6);
585 rvdw = _mm256_set1_pd(fr->ic->rvdw);
587 /* Avoid stupid compiler warnings */
588 jnrA = jnrB = jnrC = jnrD = 0;
597 for(iidx=0;iidx<4*DIM;iidx++)
602 /* Start outer loop over neighborlists */
603 for(iidx=0; iidx<nri; iidx++)
605 /* Load shift vector for this list */
606 i_shift_offset = DIM*shiftidx[iidx];
608 /* Load limits for loop over neighbors */
609 j_index_start = jindex[iidx];
610 j_index_end = jindex[iidx+1];
612 /* Get outer coordinate index */
614 i_coord_offset = DIM*inr;
616 /* Load i particle coords and add shift vector */
617 gmx_mm256_load_shift_and_1rvec_broadcast_pd(shiftvec+i_shift_offset,x+i_coord_offset,&ix0,&iy0,&iz0);
619 fix0 = _mm256_setzero_pd();
620 fiy0 = _mm256_setzero_pd();
621 fiz0 = _mm256_setzero_pd();
623 /* Load parameters for i particles */
624 iq0 = _mm256_mul_pd(facel,_mm256_set1_pd(charge[inr+0]));
625 vdwioffsetptr0 = vdwparam+2*nvdwtype*vdwtype[inr+0];
626 vdwgridioffsetptr0 = vdwgridparam+2*nvdwtype*vdwtype[inr+0];
628 /* Start inner kernel loop */
629 for(jidx=j_index_start; jidx<j_index_end && jjnr[jidx+3]>=0; jidx+=4)
632 /* Get j neighbor index, and coordinate index */
637 j_coord_offsetA = DIM*jnrA;
638 j_coord_offsetB = DIM*jnrB;
639 j_coord_offsetC = DIM*jnrC;
640 j_coord_offsetD = DIM*jnrD;
642 /* load j atom coordinates */
643 gmx_mm256_load_1rvec_4ptr_swizzle_pd(x+j_coord_offsetA,x+j_coord_offsetB,
644 x+j_coord_offsetC,x+j_coord_offsetD,
647 /* Calculate displacement vector */
648 dx00 = _mm256_sub_pd(ix0,jx0);
649 dy00 = _mm256_sub_pd(iy0,jy0);
650 dz00 = _mm256_sub_pd(iz0,jz0);
652 /* Calculate squared distance and things based on it */
653 rsq00 = gmx_mm256_calc_rsq_pd(dx00,dy00,dz00);
655 rinv00 = avx256_invsqrt_d(rsq00);
657 rinvsq00 = _mm256_mul_pd(rinv00,rinv00);
659 /* Load parameters for j particles */
660 jq0 = gmx_mm256_load_4real_swizzle_pd(charge+jnrA+0,charge+jnrB+0,
661 charge+jnrC+0,charge+jnrD+0);
662 vdwjidx0A = 2*vdwtype[jnrA+0];
663 vdwjidx0B = 2*vdwtype[jnrB+0];
664 vdwjidx0C = 2*vdwtype[jnrC+0];
665 vdwjidx0D = 2*vdwtype[jnrD+0];
667 /**************************
668 * CALCULATE INTERACTIONS *
669 **************************/
671 if (gmx_mm256_any_lt(rsq00,rcutoff2))
674 r00 = _mm256_mul_pd(rsq00,rinv00);
676 /* Compute parameters for interactions between i and j atoms */
677 qq00 = _mm256_mul_pd(iq0,jq0);
678 gmx_mm256_load_4pair_swizzle_pd(vdwioffsetptr0+vdwjidx0A,
679 vdwioffsetptr0+vdwjidx0B,
680 vdwioffsetptr0+vdwjidx0C,
681 vdwioffsetptr0+vdwjidx0D,
684 c6grid_00 = gmx_mm256_load_4real_swizzle_pd(vdwgridioffsetptr0+vdwjidx0A,
685 vdwgridioffsetptr0+vdwjidx0B,
686 vdwgridioffsetptr0+vdwjidx0C,
687 vdwgridioffsetptr0+vdwjidx0D);
689 /* EWALD ELECTROSTATICS */
691 /* Calculate Ewald table index by multiplying r with scale and truncate to integer */
692 ewrt = _mm256_mul_pd(r00,ewtabscale);
693 ewitab = _mm256_cvttpd_epi32(ewrt);
694 eweps = _mm256_sub_pd(ewrt,_mm256_round_pd(ewrt, _MM_FROUND_FLOOR));
695 gmx_mm256_load_4pair_swizzle_pd(ewtab + _mm_extract_epi32(ewitab,0),ewtab + _mm_extract_epi32(ewitab,1),
696 ewtab + _mm_extract_epi32(ewitab,2),ewtab + _mm_extract_epi32(ewitab,3),
698 felec = _mm256_add_pd(_mm256_mul_pd( _mm256_sub_pd(one,eweps),ewtabF),_mm256_mul_pd(eweps,ewtabFn));
699 felec = _mm256_mul_pd(_mm256_mul_pd(qq00,rinv00),_mm256_sub_pd(rinvsq00,felec));
701 /* Analytical LJ-PME */
702 rinvsix = _mm256_mul_pd(_mm256_mul_pd(rinvsq00,rinvsq00),rinvsq00);
703 ewcljrsq = _mm256_mul_pd(ewclj2,rsq00);
704 ewclj6 = _mm256_mul_pd(ewclj2,_mm256_mul_pd(ewclj2,ewclj2));
705 exponent = avx256_exp_d(ewcljrsq);
706 /* poly = exp(-(beta*r)^2) * (1 + (beta*r)^2 + (beta*r)^4 /2) */
707 poly = _mm256_mul_pd(exponent,_mm256_add_pd(_mm256_sub_pd(one,ewcljrsq),_mm256_mul_pd(_mm256_mul_pd(ewcljrsq,ewcljrsq),one_half)));
708 /* f6A = 6 * C6grid * (1 - poly) */
709 f6A = _mm256_mul_pd(c6grid_00,_mm256_sub_pd(one,poly));
710 /* f6B = C6grid * exponent * beta^6 */
711 f6B = _mm256_mul_pd(_mm256_mul_pd(c6grid_00,one_sixth),_mm256_mul_pd(exponent,ewclj6));
712 /* fvdw = 12*C12/r13 - ((6*C6 - f6A)/r6 + f6B)/r */
713 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);
715 cutoff_mask = _mm256_cmp_pd(rsq00,rcutoff2,_CMP_LT_OQ);
717 fscal = _mm256_add_pd(felec,fvdw);
719 fscal = _mm256_and_pd(fscal,cutoff_mask);
721 /* Calculate temporary vectorial force */
722 tx = _mm256_mul_pd(fscal,dx00);
723 ty = _mm256_mul_pd(fscal,dy00);
724 tz = _mm256_mul_pd(fscal,dz00);
726 /* Update vectorial force */
727 fix0 = _mm256_add_pd(fix0,tx);
728 fiy0 = _mm256_add_pd(fiy0,ty);
729 fiz0 = _mm256_add_pd(fiz0,tz);
731 fjptrA = f+j_coord_offsetA;
732 fjptrB = f+j_coord_offsetB;
733 fjptrC = f+j_coord_offsetC;
734 fjptrD = f+j_coord_offsetD;
735 gmx_mm256_decrement_1rvec_4ptr_swizzle_pd(fjptrA,fjptrB,fjptrC,fjptrD,tx,ty,tz);
739 /* Inner loop uses 62 flops */
745 /* Get j neighbor index, and coordinate index */
746 jnrlistA = jjnr[jidx];
747 jnrlistB = jjnr[jidx+1];
748 jnrlistC = jjnr[jidx+2];
749 jnrlistD = jjnr[jidx+3];
750 /* Sign of each element will be negative for non-real atoms.
751 * This mask will be 0xFFFFFFFF for dummy entries and 0x0 for real ones,
752 * so use it as val = _mm_andnot_pd(mask,val) to clear dummy entries.
754 tmpmask0 = gmx_mm_castsi128_ps(_mm_cmplt_epi32(_mm_loadu_si128((const __m128i *)(jjnr+jidx)),_mm_setzero_si128()));
756 tmpmask1 = _mm_permute_ps(tmpmask0,_GMX_MM_PERMUTE(3,3,2,2));
757 tmpmask0 = _mm_permute_ps(tmpmask0,_GMX_MM_PERMUTE(1,1,0,0));
758 dummy_mask = _mm256_castps_pd(gmx_mm256_set_m128(tmpmask1,tmpmask0));
760 jnrA = (jnrlistA>=0) ? jnrlistA : 0;
761 jnrB = (jnrlistB>=0) ? jnrlistB : 0;
762 jnrC = (jnrlistC>=0) ? jnrlistC : 0;
763 jnrD = (jnrlistD>=0) ? jnrlistD : 0;
764 j_coord_offsetA = DIM*jnrA;
765 j_coord_offsetB = DIM*jnrB;
766 j_coord_offsetC = DIM*jnrC;
767 j_coord_offsetD = DIM*jnrD;
769 /* load j atom coordinates */
770 gmx_mm256_load_1rvec_4ptr_swizzle_pd(x+j_coord_offsetA,x+j_coord_offsetB,
771 x+j_coord_offsetC,x+j_coord_offsetD,
774 /* Calculate displacement vector */
775 dx00 = _mm256_sub_pd(ix0,jx0);
776 dy00 = _mm256_sub_pd(iy0,jy0);
777 dz00 = _mm256_sub_pd(iz0,jz0);
779 /* Calculate squared distance and things based on it */
780 rsq00 = gmx_mm256_calc_rsq_pd(dx00,dy00,dz00);
782 rinv00 = avx256_invsqrt_d(rsq00);
784 rinvsq00 = _mm256_mul_pd(rinv00,rinv00);
786 /* Load parameters for j particles */
787 jq0 = gmx_mm256_load_4real_swizzle_pd(charge+jnrA+0,charge+jnrB+0,
788 charge+jnrC+0,charge+jnrD+0);
789 vdwjidx0A = 2*vdwtype[jnrA+0];
790 vdwjidx0B = 2*vdwtype[jnrB+0];
791 vdwjidx0C = 2*vdwtype[jnrC+0];
792 vdwjidx0D = 2*vdwtype[jnrD+0];
794 /**************************
795 * CALCULATE INTERACTIONS *
796 **************************/
798 if (gmx_mm256_any_lt(rsq00,rcutoff2))
801 r00 = _mm256_mul_pd(rsq00,rinv00);
802 r00 = _mm256_andnot_pd(dummy_mask,r00);
804 /* Compute parameters for interactions between i and j atoms */
805 qq00 = _mm256_mul_pd(iq0,jq0);
806 gmx_mm256_load_4pair_swizzle_pd(vdwioffsetptr0+vdwjidx0A,
807 vdwioffsetptr0+vdwjidx0B,
808 vdwioffsetptr0+vdwjidx0C,
809 vdwioffsetptr0+vdwjidx0D,
812 c6grid_00 = gmx_mm256_load_4real_swizzle_pd(vdwgridioffsetptr0+vdwjidx0A,
813 vdwgridioffsetptr0+vdwjidx0B,
814 vdwgridioffsetptr0+vdwjidx0C,
815 vdwgridioffsetptr0+vdwjidx0D);
817 /* EWALD ELECTROSTATICS */
819 /* Calculate Ewald table index by multiplying r with scale and truncate to integer */
820 ewrt = _mm256_mul_pd(r00,ewtabscale);
821 ewitab = _mm256_cvttpd_epi32(ewrt);
822 eweps = _mm256_sub_pd(ewrt,_mm256_round_pd(ewrt, _MM_FROUND_FLOOR));
823 gmx_mm256_load_4pair_swizzle_pd(ewtab + _mm_extract_epi32(ewitab,0),ewtab + _mm_extract_epi32(ewitab,1),
824 ewtab + _mm_extract_epi32(ewitab,2),ewtab + _mm_extract_epi32(ewitab,3),
826 felec = _mm256_add_pd(_mm256_mul_pd( _mm256_sub_pd(one,eweps),ewtabF),_mm256_mul_pd(eweps,ewtabFn));
827 felec = _mm256_mul_pd(_mm256_mul_pd(qq00,rinv00),_mm256_sub_pd(rinvsq00,felec));
829 /* Analytical LJ-PME */
830 rinvsix = _mm256_mul_pd(_mm256_mul_pd(rinvsq00,rinvsq00),rinvsq00);
831 ewcljrsq = _mm256_mul_pd(ewclj2,rsq00);
832 ewclj6 = _mm256_mul_pd(ewclj2,_mm256_mul_pd(ewclj2,ewclj2));
833 exponent = avx256_exp_d(ewcljrsq);
834 /* poly = exp(-(beta*r)^2) * (1 + (beta*r)^2 + (beta*r)^4 /2) */
835 poly = _mm256_mul_pd(exponent,_mm256_add_pd(_mm256_sub_pd(one,ewcljrsq),_mm256_mul_pd(_mm256_mul_pd(ewcljrsq,ewcljrsq),one_half)));
836 /* f6A = 6 * C6grid * (1 - poly) */
837 f6A = _mm256_mul_pd(c6grid_00,_mm256_sub_pd(one,poly));
838 /* f6B = C6grid * exponent * beta^6 */
839 f6B = _mm256_mul_pd(_mm256_mul_pd(c6grid_00,one_sixth),_mm256_mul_pd(exponent,ewclj6));
840 /* fvdw = 12*C12/r13 - ((6*C6 - f6A)/r6 + f6B)/r */
841 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);
843 cutoff_mask = _mm256_cmp_pd(rsq00,rcutoff2,_CMP_LT_OQ);
845 fscal = _mm256_add_pd(felec,fvdw);
847 fscal = _mm256_and_pd(fscal,cutoff_mask);
849 fscal = _mm256_andnot_pd(dummy_mask,fscal);
851 /* Calculate temporary vectorial force */
852 tx = _mm256_mul_pd(fscal,dx00);
853 ty = _mm256_mul_pd(fscal,dy00);
854 tz = _mm256_mul_pd(fscal,dz00);
856 /* Update vectorial force */
857 fix0 = _mm256_add_pd(fix0,tx);
858 fiy0 = _mm256_add_pd(fiy0,ty);
859 fiz0 = _mm256_add_pd(fiz0,tz);
861 fjptrA = (jnrlistA>=0) ? f+j_coord_offsetA : scratch;
862 fjptrB = (jnrlistB>=0) ? f+j_coord_offsetB : scratch;
863 fjptrC = (jnrlistC>=0) ? f+j_coord_offsetC : scratch;
864 fjptrD = (jnrlistD>=0) ? f+j_coord_offsetD : scratch;
865 gmx_mm256_decrement_1rvec_4ptr_swizzle_pd(fjptrA,fjptrB,fjptrC,fjptrD,tx,ty,tz);
869 /* Inner loop uses 63 flops */
872 /* End of innermost loop */
874 gmx_mm256_update_iforce_1atom_swizzle_pd(fix0,fiy0,fiz0,
875 f+i_coord_offset,fshift+i_shift_offset);
877 /* Increment number of inner iterations */
878 inneriter += j_index_end - j_index_start;
880 /* Outer loop uses 7 flops */
883 /* Increment number of outer iterations */
886 /* Update outer/inner flops */
888 inc_nrnb(nrnb,eNR_NBKERNEL_ELEC_VDW_F,outeriter*7 + inneriter*63);