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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_ElecEw_VdwLJEw_GeomW3P1_VF_avx_256_double
52 * Electrostatics interaction: Ewald
53 * VdW interaction: LJEwald
54 * Geometry: Water3-Particle
55 * Calculate force/pot: PotentialAndForce
58 nb_kernel_ElecEw_VdwLJEw_GeomW3P1_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 real * vdwioffsetptr1;
88 real * vdwgridioffsetptr1;
89 __m256d ix1,iy1,iz1,fix1,fiy1,fiz1,iq1,isai1;
90 real * vdwioffsetptr2;
91 real * vdwgridioffsetptr2;
92 __m256d ix2,iy2,iz2,fix2,fiy2,fiz2,iq2,isai2;
93 int vdwjidx0A,vdwjidx0B,vdwjidx0C,vdwjidx0D;
94 __m256d jx0,jy0,jz0,fjx0,fjy0,fjz0,jq0,isaj0;
95 __m256d dx00,dy00,dz00,rsq00,rinv00,rinvsq00,r00,qq00,c6_00,c12_00;
96 __m256d dx10,dy10,dz10,rsq10,rinv10,rinvsq10,r10,qq10,c6_10,c12_10;
97 __m256d dx20,dy20,dz20,rsq20,rinv20,rinvsq20,r20,qq20,c6_20,c12_20;
98 __m256d velec,felec,velecsum,facel,crf,krf,krf2;
101 __m256d rinvsix,rvdw,vvdw,vvdw6,vvdw12,fvdw,fvdw6,fvdw12,vvdwsum,sh_vdw_invrcut6;
104 __m256d one_sixth = _mm256_set1_pd(1.0/6.0);
105 __m256d one_twelfth = _mm256_set1_pd(1.0/12.0);
110 __m256d ewclj,ewclj2,ewclj6,ewcljrsq,poly,exponent,f6A,f6B,sh_lj_ewald;
111 __m256d one_half = _mm256_set1_pd(0.5);
112 __m256d minus_one = _mm256_set1_pd(-1.0);
114 __m256d ewtabscale,eweps,sh_ewald,ewrt,ewtabhalfspace,ewtabF,ewtabFn,ewtabD,ewtabV;
115 __m256d beta,beta2,beta3,zeta2,pmecorrF,pmecorrV,rinv3;
117 __m256d dummy_mask,cutoff_mask;
118 __m128 tmpmask0,tmpmask1;
119 __m256d signbit = _mm256_castsi256_pd( _mm256_set1_epi32(0x80000000) );
120 __m256d one = _mm256_set1_pd(1.0);
121 __m256d two = _mm256_set1_pd(2.0);
127 jindex = nlist->jindex;
129 shiftidx = nlist->shift;
131 shiftvec = fr->shift_vec[0];
132 fshift = fr->fshift[0];
133 facel = _mm256_set1_pd(fr->epsfac);
134 charge = mdatoms->chargeA;
135 nvdwtype = fr->ntype;
137 vdwtype = mdatoms->typeA;
138 vdwgridparam = fr->ljpme_c6grid;
139 sh_lj_ewald = _mm256_set1_pd(fr->ic->sh_lj_ewald);
140 ewclj = _mm256_set1_pd(fr->ewaldcoeff_lj);
141 ewclj2 = _mm256_mul_pd(minus_one,_mm256_mul_pd(ewclj,ewclj));
143 sh_ewald = _mm256_set1_pd(fr->ic->sh_ewald);
144 beta = _mm256_set1_pd(fr->ic->ewaldcoeff_q);
145 beta2 = _mm256_mul_pd(beta,beta);
146 beta3 = _mm256_mul_pd(beta,beta2);
148 ewtab = fr->ic->tabq_coul_FDV0;
149 ewtabscale = _mm256_set1_pd(fr->ic->tabq_scale);
150 ewtabhalfspace = _mm256_set1_pd(0.5/fr->ic->tabq_scale);
152 /* Setup water-specific parameters */
153 inr = nlist->iinr[0];
154 iq0 = _mm256_mul_pd(facel,_mm256_set1_pd(charge[inr+0]));
155 iq1 = _mm256_mul_pd(facel,_mm256_set1_pd(charge[inr+1]));
156 iq2 = _mm256_mul_pd(facel,_mm256_set1_pd(charge[inr+2]));
157 vdwioffsetptr0 = vdwparam+2*nvdwtype*vdwtype[inr+0];
158 vdwgridioffsetptr0 = vdwgridparam+2*nvdwtype*vdwtype[inr+0];
160 /* Avoid stupid compiler warnings */
161 jnrA = jnrB = jnrC = jnrD = 0;
170 for(iidx=0;iidx<4*DIM;iidx++)
175 /* Start outer loop over neighborlists */
176 for(iidx=0; iidx<nri; iidx++)
178 /* Load shift vector for this list */
179 i_shift_offset = DIM*shiftidx[iidx];
181 /* Load limits for loop over neighbors */
182 j_index_start = jindex[iidx];
183 j_index_end = jindex[iidx+1];
185 /* Get outer coordinate index */
187 i_coord_offset = DIM*inr;
189 /* Load i particle coords and add shift vector */
190 gmx_mm256_load_shift_and_3rvec_broadcast_pd(shiftvec+i_shift_offset,x+i_coord_offset,
191 &ix0,&iy0,&iz0,&ix1,&iy1,&iz1,&ix2,&iy2,&iz2);
193 fix0 = _mm256_setzero_pd();
194 fiy0 = _mm256_setzero_pd();
195 fiz0 = _mm256_setzero_pd();
196 fix1 = _mm256_setzero_pd();
197 fiy1 = _mm256_setzero_pd();
198 fiz1 = _mm256_setzero_pd();
199 fix2 = _mm256_setzero_pd();
200 fiy2 = _mm256_setzero_pd();
201 fiz2 = _mm256_setzero_pd();
203 /* Reset potential sums */
204 velecsum = _mm256_setzero_pd();
205 vvdwsum = _mm256_setzero_pd();
207 /* Start inner kernel loop */
208 for(jidx=j_index_start; jidx<j_index_end && jjnr[jidx+3]>=0; jidx+=4)
211 /* Get j neighbor index, and coordinate index */
216 j_coord_offsetA = DIM*jnrA;
217 j_coord_offsetB = DIM*jnrB;
218 j_coord_offsetC = DIM*jnrC;
219 j_coord_offsetD = DIM*jnrD;
221 /* load j atom coordinates */
222 gmx_mm256_load_1rvec_4ptr_swizzle_pd(x+j_coord_offsetA,x+j_coord_offsetB,
223 x+j_coord_offsetC,x+j_coord_offsetD,
226 /* Calculate displacement vector */
227 dx00 = _mm256_sub_pd(ix0,jx0);
228 dy00 = _mm256_sub_pd(iy0,jy0);
229 dz00 = _mm256_sub_pd(iz0,jz0);
230 dx10 = _mm256_sub_pd(ix1,jx0);
231 dy10 = _mm256_sub_pd(iy1,jy0);
232 dz10 = _mm256_sub_pd(iz1,jz0);
233 dx20 = _mm256_sub_pd(ix2,jx0);
234 dy20 = _mm256_sub_pd(iy2,jy0);
235 dz20 = _mm256_sub_pd(iz2,jz0);
237 /* Calculate squared distance and things based on it */
238 rsq00 = gmx_mm256_calc_rsq_pd(dx00,dy00,dz00);
239 rsq10 = gmx_mm256_calc_rsq_pd(dx10,dy10,dz10);
240 rsq20 = gmx_mm256_calc_rsq_pd(dx20,dy20,dz20);
242 rinv00 = gmx_mm256_invsqrt_pd(rsq00);
243 rinv10 = gmx_mm256_invsqrt_pd(rsq10);
244 rinv20 = gmx_mm256_invsqrt_pd(rsq20);
246 rinvsq00 = _mm256_mul_pd(rinv00,rinv00);
247 rinvsq10 = _mm256_mul_pd(rinv10,rinv10);
248 rinvsq20 = _mm256_mul_pd(rinv20,rinv20);
250 /* Load parameters for j particles */
251 jq0 = gmx_mm256_load_4real_swizzle_pd(charge+jnrA+0,charge+jnrB+0,
252 charge+jnrC+0,charge+jnrD+0);
253 vdwjidx0A = 2*vdwtype[jnrA+0];
254 vdwjidx0B = 2*vdwtype[jnrB+0];
255 vdwjidx0C = 2*vdwtype[jnrC+0];
256 vdwjidx0D = 2*vdwtype[jnrD+0];
258 fjx0 = _mm256_setzero_pd();
259 fjy0 = _mm256_setzero_pd();
260 fjz0 = _mm256_setzero_pd();
262 /**************************
263 * CALCULATE INTERACTIONS *
264 **************************/
266 r00 = _mm256_mul_pd(rsq00,rinv00);
268 /* Compute parameters for interactions between i and j atoms */
269 qq00 = _mm256_mul_pd(iq0,jq0);
270 gmx_mm256_load_4pair_swizzle_pd(vdwioffsetptr0+vdwjidx0A,
271 vdwioffsetptr0+vdwjidx0B,
272 vdwioffsetptr0+vdwjidx0C,
273 vdwioffsetptr0+vdwjidx0D,
276 c6grid_00 = gmx_mm256_load_4real_swizzle_pd(vdwgridioffsetptr0+vdwjidx0A,
277 vdwgridioffsetptr0+vdwjidx0B,
278 vdwgridioffsetptr0+vdwjidx0C,
279 vdwgridioffsetptr0+vdwjidx0D);
281 /* EWALD ELECTROSTATICS */
283 /* Calculate Ewald table index by multiplying r with scale and truncate to integer */
284 ewrt = _mm256_mul_pd(r00,ewtabscale);
285 ewitab = _mm256_cvttpd_epi32(ewrt);
286 eweps = _mm256_sub_pd(ewrt,_mm256_round_pd(ewrt, _MM_FROUND_FLOOR));
287 ewitab = _mm_slli_epi32(ewitab,2);
288 ewtabF = _mm256_load_pd( ewtab + _mm_extract_epi32(ewitab,0) );
289 ewtabD = _mm256_load_pd( ewtab + _mm_extract_epi32(ewitab,1) );
290 ewtabV = _mm256_load_pd( ewtab + _mm_extract_epi32(ewitab,2) );
291 ewtabFn = _mm256_load_pd( ewtab + _mm_extract_epi32(ewitab,3) );
292 GMX_MM256_FULLTRANSPOSE4_PD(ewtabF,ewtabD,ewtabV,ewtabFn);
293 felec = _mm256_add_pd(ewtabF,_mm256_mul_pd(eweps,ewtabD));
294 velec = _mm256_sub_pd(ewtabV,_mm256_mul_pd(_mm256_mul_pd(ewtabhalfspace,eweps),_mm256_add_pd(ewtabF,felec)));
295 velec = _mm256_mul_pd(qq00,_mm256_sub_pd(rinv00,velec));
296 felec = _mm256_mul_pd(_mm256_mul_pd(qq00,rinv00),_mm256_sub_pd(rinvsq00,felec));
298 /* Analytical LJ-PME */
299 rinvsix = _mm256_mul_pd(_mm256_mul_pd(rinvsq00,rinvsq00),rinvsq00);
300 ewcljrsq = _mm256_mul_pd(ewclj2,rsq00);
301 ewclj6 = _mm256_mul_pd(ewclj2,_mm256_mul_pd(ewclj2,ewclj2));
302 exponent = gmx_simd_exp_d(ewcljrsq);
303 /* poly = exp(-(beta*r)^2) * (1 + (beta*r)^2 + (beta*r)^4 /2) */
304 poly = _mm256_mul_pd(exponent,_mm256_add_pd(_mm256_sub_pd(one,ewcljrsq),_mm256_mul_pd(_mm256_mul_pd(ewcljrsq,ewcljrsq),one_half)));
305 /* vvdw6 = [C6 - C6grid * (1-poly)]/r6 */
306 vvdw6 = _mm256_mul_pd(_mm256_sub_pd(c6_00,_mm256_mul_pd(c6grid_00,_mm256_sub_pd(one,poly))),rinvsix);
307 vvdw12 = _mm256_mul_pd(c12_00,_mm256_mul_pd(rinvsix,rinvsix));
308 vvdw = _mm256_sub_pd(_mm256_mul_pd(vvdw12,one_twelfth),_mm256_mul_pd(vvdw6,one_sixth));
309 /* fvdw = vvdw12/r - (vvdw6/r + (C6grid * exponent * beta^6)/r) */
310 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);
312 /* Update potential sum for this i atom from the interaction with this j atom. */
313 velecsum = _mm256_add_pd(velecsum,velec);
314 vvdwsum = _mm256_add_pd(vvdwsum,vvdw);
316 fscal = _mm256_add_pd(felec,fvdw);
318 /* Calculate temporary vectorial force */
319 tx = _mm256_mul_pd(fscal,dx00);
320 ty = _mm256_mul_pd(fscal,dy00);
321 tz = _mm256_mul_pd(fscal,dz00);
323 /* Update vectorial force */
324 fix0 = _mm256_add_pd(fix0,tx);
325 fiy0 = _mm256_add_pd(fiy0,ty);
326 fiz0 = _mm256_add_pd(fiz0,tz);
328 fjx0 = _mm256_add_pd(fjx0,tx);
329 fjy0 = _mm256_add_pd(fjy0,ty);
330 fjz0 = _mm256_add_pd(fjz0,tz);
332 /**************************
333 * CALCULATE INTERACTIONS *
334 **************************/
336 r10 = _mm256_mul_pd(rsq10,rinv10);
338 /* Compute parameters for interactions between i and j atoms */
339 qq10 = _mm256_mul_pd(iq1,jq0);
341 /* EWALD ELECTROSTATICS */
343 /* Calculate Ewald table index by multiplying r with scale and truncate to integer */
344 ewrt = _mm256_mul_pd(r10,ewtabscale);
345 ewitab = _mm256_cvttpd_epi32(ewrt);
346 eweps = _mm256_sub_pd(ewrt,_mm256_round_pd(ewrt, _MM_FROUND_FLOOR));
347 ewitab = _mm_slli_epi32(ewitab,2);
348 ewtabF = _mm256_load_pd( ewtab + _mm_extract_epi32(ewitab,0) );
349 ewtabD = _mm256_load_pd( ewtab + _mm_extract_epi32(ewitab,1) );
350 ewtabV = _mm256_load_pd( ewtab + _mm_extract_epi32(ewitab,2) );
351 ewtabFn = _mm256_load_pd( ewtab + _mm_extract_epi32(ewitab,3) );
352 GMX_MM256_FULLTRANSPOSE4_PD(ewtabF,ewtabD,ewtabV,ewtabFn);
353 felec = _mm256_add_pd(ewtabF,_mm256_mul_pd(eweps,ewtabD));
354 velec = _mm256_sub_pd(ewtabV,_mm256_mul_pd(_mm256_mul_pd(ewtabhalfspace,eweps),_mm256_add_pd(ewtabF,felec)));
355 velec = _mm256_mul_pd(qq10,_mm256_sub_pd(rinv10,velec));
356 felec = _mm256_mul_pd(_mm256_mul_pd(qq10,rinv10),_mm256_sub_pd(rinvsq10,felec));
358 /* Update potential sum for this i atom from the interaction with this j atom. */
359 velecsum = _mm256_add_pd(velecsum,velec);
363 /* Calculate temporary vectorial force */
364 tx = _mm256_mul_pd(fscal,dx10);
365 ty = _mm256_mul_pd(fscal,dy10);
366 tz = _mm256_mul_pd(fscal,dz10);
368 /* Update vectorial force */
369 fix1 = _mm256_add_pd(fix1,tx);
370 fiy1 = _mm256_add_pd(fiy1,ty);
371 fiz1 = _mm256_add_pd(fiz1,tz);
373 fjx0 = _mm256_add_pd(fjx0,tx);
374 fjy0 = _mm256_add_pd(fjy0,ty);
375 fjz0 = _mm256_add_pd(fjz0,tz);
377 /**************************
378 * CALCULATE INTERACTIONS *
379 **************************/
381 r20 = _mm256_mul_pd(rsq20,rinv20);
383 /* Compute parameters for interactions between i and j atoms */
384 qq20 = _mm256_mul_pd(iq2,jq0);
386 /* EWALD ELECTROSTATICS */
388 /* Calculate Ewald table index by multiplying r with scale and truncate to integer */
389 ewrt = _mm256_mul_pd(r20,ewtabscale);
390 ewitab = _mm256_cvttpd_epi32(ewrt);
391 eweps = _mm256_sub_pd(ewrt,_mm256_round_pd(ewrt, _MM_FROUND_FLOOR));
392 ewitab = _mm_slli_epi32(ewitab,2);
393 ewtabF = _mm256_load_pd( ewtab + _mm_extract_epi32(ewitab,0) );
394 ewtabD = _mm256_load_pd( ewtab + _mm_extract_epi32(ewitab,1) );
395 ewtabV = _mm256_load_pd( ewtab + _mm_extract_epi32(ewitab,2) );
396 ewtabFn = _mm256_load_pd( ewtab + _mm_extract_epi32(ewitab,3) );
397 GMX_MM256_FULLTRANSPOSE4_PD(ewtabF,ewtabD,ewtabV,ewtabFn);
398 felec = _mm256_add_pd(ewtabF,_mm256_mul_pd(eweps,ewtabD));
399 velec = _mm256_sub_pd(ewtabV,_mm256_mul_pd(_mm256_mul_pd(ewtabhalfspace,eweps),_mm256_add_pd(ewtabF,felec)));
400 velec = _mm256_mul_pd(qq20,_mm256_sub_pd(rinv20,velec));
401 felec = _mm256_mul_pd(_mm256_mul_pd(qq20,rinv20),_mm256_sub_pd(rinvsq20,felec));
403 /* Update potential sum for this i atom from the interaction with this j atom. */
404 velecsum = _mm256_add_pd(velecsum,velec);
408 /* Calculate temporary vectorial force */
409 tx = _mm256_mul_pd(fscal,dx20);
410 ty = _mm256_mul_pd(fscal,dy20);
411 tz = _mm256_mul_pd(fscal,dz20);
413 /* Update vectorial force */
414 fix2 = _mm256_add_pd(fix2,tx);
415 fiy2 = _mm256_add_pd(fiy2,ty);
416 fiz2 = _mm256_add_pd(fiz2,tz);
418 fjx0 = _mm256_add_pd(fjx0,tx);
419 fjy0 = _mm256_add_pd(fjy0,ty);
420 fjz0 = _mm256_add_pd(fjz0,tz);
422 fjptrA = f+j_coord_offsetA;
423 fjptrB = f+j_coord_offsetB;
424 fjptrC = f+j_coord_offsetC;
425 fjptrD = f+j_coord_offsetD;
427 gmx_mm256_decrement_1rvec_4ptr_swizzle_pd(fjptrA,fjptrB,fjptrC,fjptrD,fjx0,fjy0,fjz0);
429 /* Inner loop uses 157 flops */
435 /* Get j neighbor index, and coordinate index */
436 jnrlistA = jjnr[jidx];
437 jnrlistB = jjnr[jidx+1];
438 jnrlistC = jjnr[jidx+2];
439 jnrlistD = jjnr[jidx+3];
440 /* Sign of each element will be negative for non-real atoms.
441 * This mask will be 0xFFFFFFFF for dummy entries and 0x0 for real ones,
442 * so use it as val = _mm_andnot_pd(mask,val) to clear dummy entries.
444 tmpmask0 = gmx_mm_castsi128_ps(_mm_cmplt_epi32(_mm_loadu_si128((const __m128i *)(jjnr+jidx)),_mm_setzero_si128()));
446 tmpmask1 = _mm_permute_ps(tmpmask0,_GMX_MM_PERMUTE(3,3,2,2));
447 tmpmask0 = _mm_permute_ps(tmpmask0,_GMX_MM_PERMUTE(1,1,0,0));
448 dummy_mask = _mm256_castps_pd(gmx_mm256_set_m128(tmpmask1,tmpmask0));
450 jnrA = (jnrlistA>=0) ? jnrlistA : 0;
451 jnrB = (jnrlistB>=0) ? jnrlistB : 0;
452 jnrC = (jnrlistC>=0) ? jnrlistC : 0;
453 jnrD = (jnrlistD>=0) ? jnrlistD : 0;
454 j_coord_offsetA = DIM*jnrA;
455 j_coord_offsetB = DIM*jnrB;
456 j_coord_offsetC = DIM*jnrC;
457 j_coord_offsetD = DIM*jnrD;
459 /* load j atom coordinates */
460 gmx_mm256_load_1rvec_4ptr_swizzle_pd(x+j_coord_offsetA,x+j_coord_offsetB,
461 x+j_coord_offsetC,x+j_coord_offsetD,
464 /* Calculate displacement vector */
465 dx00 = _mm256_sub_pd(ix0,jx0);
466 dy00 = _mm256_sub_pd(iy0,jy0);
467 dz00 = _mm256_sub_pd(iz0,jz0);
468 dx10 = _mm256_sub_pd(ix1,jx0);
469 dy10 = _mm256_sub_pd(iy1,jy0);
470 dz10 = _mm256_sub_pd(iz1,jz0);
471 dx20 = _mm256_sub_pd(ix2,jx0);
472 dy20 = _mm256_sub_pd(iy2,jy0);
473 dz20 = _mm256_sub_pd(iz2,jz0);
475 /* Calculate squared distance and things based on it */
476 rsq00 = gmx_mm256_calc_rsq_pd(dx00,dy00,dz00);
477 rsq10 = gmx_mm256_calc_rsq_pd(dx10,dy10,dz10);
478 rsq20 = gmx_mm256_calc_rsq_pd(dx20,dy20,dz20);
480 rinv00 = gmx_mm256_invsqrt_pd(rsq00);
481 rinv10 = gmx_mm256_invsqrt_pd(rsq10);
482 rinv20 = gmx_mm256_invsqrt_pd(rsq20);
484 rinvsq00 = _mm256_mul_pd(rinv00,rinv00);
485 rinvsq10 = _mm256_mul_pd(rinv10,rinv10);
486 rinvsq20 = _mm256_mul_pd(rinv20,rinv20);
488 /* Load parameters for j particles */
489 jq0 = gmx_mm256_load_4real_swizzle_pd(charge+jnrA+0,charge+jnrB+0,
490 charge+jnrC+0,charge+jnrD+0);
491 vdwjidx0A = 2*vdwtype[jnrA+0];
492 vdwjidx0B = 2*vdwtype[jnrB+0];
493 vdwjidx0C = 2*vdwtype[jnrC+0];
494 vdwjidx0D = 2*vdwtype[jnrD+0];
496 fjx0 = _mm256_setzero_pd();
497 fjy0 = _mm256_setzero_pd();
498 fjz0 = _mm256_setzero_pd();
500 /**************************
501 * CALCULATE INTERACTIONS *
502 **************************/
504 r00 = _mm256_mul_pd(rsq00,rinv00);
505 r00 = _mm256_andnot_pd(dummy_mask,r00);
507 /* Compute parameters for interactions between i and j atoms */
508 qq00 = _mm256_mul_pd(iq0,jq0);
509 gmx_mm256_load_4pair_swizzle_pd(vdwioffsetptr0+vdwjidx0A,
510 vdwioffsetptr0+vdwjidx0B,
511 vdwioffsetptr0+vdwjidx0C,
512 vdwioffsetptr0+vdwjidx0D,
515 c6grid_00 = gmx_mm256_load_4real_swizzle_pd(vdwgridioffsetptr0+vdwjidx0A,
516 vdwgridioffsetptr0+vdwjidx0B,
517 vdwgridioffsetptr0+vdwjidx0C,
518 vdwgridioffsetptr0+vdwjidx0D);
520 /* EWALD ELECTROSTATICS */
522 /* Calculate Ewald table index by multiplying r with scale and truncate to integer */
523 ewrt = _mm256_mul_pd(r00,ewtabscale);
524 ewitab = _mm256_cvttpd_epi32(ewrt);
525 eweps = _mm256_sub_pd(ewrt,_mm256_round_pd(ewrt, _MM_FROUND_FLOOR));
526 ewitab = _mm_slli_epi32(ewitab,2);
527 ewtabF = _mm256_load_pd( ewtab + _mm_extract_epi32(ewitab,0) );
528 ewtabD = _mm256_load_pd( ewtab + _mm_extract_epi32(ewitab,1) );
529 ewtabV = _mm256_load_pd( ewtab + _mm_extract_epi32(ewitab,2) );
530 ewtabFn = _mm256_load_pd( ewtab + _mm_extract_epi32(ewitab,3) );
531 GMX_MM256_FULLTRANSPOSE4_PD(ewtabF,ewtabD,ewtabV,ewtabFn);
532 felec = _mm256_add_pd(ewtabF,_mm256_mul_pd(eweps,ewtabD));
533 velec = _mm256_sub_pd(ewtabV,_mm256_mul_pd(_mm256_mul_pd(ewtabhalfspace,eweps),_mm256_add_pd(ewtabF,felec)));
534 velec = _mm256_mul_pd(qq00,_mm256_sub_pd(rinv00,velec));
535 felec = _mm256_mul_pd(_mm256_mul_pd(qq00,rinv00),_mm256_sub_pd(rinvsq00,felec));
537 /* Analytical LJ-PME */
538 rinvsix = _mm256_mul_pd(_mm256_mul_pd(rinvsq00,rinvsq00),rinvsq00);
539 ewcljrsq = _mm256_mul_pd(ewclj2,rsq00);
540 ewclj6 = _mm256_mul_pd(ewclj2,_mm256_mul_pd(ewclj2,ewclj2));
541 exponent = gmx_simd_exp_d(ewcljrsq);
542 /* poly = exp(-(beta*r)^2) * (1 + (beta*r)^2 + (beta*r)^4 /2) */
543 poly = _mm256_mul_pd(exponent,_mm256_add_pd(_mm256_sub_pd(one,ewcljrsq),_mm256_mul_pd(_mm256_mul_pd(ewcljrsq,ewcljrsq),one_half)));
544 /* vvdw6 = [C6 - C6grid * (1-poly)]/r6 */
545 vvdw6 = _mm256_mul_pd(_mm256_sub_pd(c6_00,_mm256_mul_pd(c6grid_00,_mm256_sub_pd(one,poly))),rinvsix);
546 vvdw12 = _mm256_mul_pd(c12_00,_mm256_mul_pd(rinvsix,rinvsix));
547 vvdw = _mm256_sub_pd(_mm256_mul_pd(vvdw12,one_twelfth),_mm256_mul_pd(vvdw6,one_sixth));
548 /* fvdw = vvdw12/r - (vvdw6/r + (C6grid * exponent * beta^6)/r) */
549 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);
551 /* Update potential sum for this i atom from the interaction with this j atom. */
552 velec = _mm256_andnot_pd(dummy_mask,velec);
553 velecsum = _mm256_add_pd(velecsum,velec);
554 vvdw = _mm256_andnot_pd(dummy_mask,vvdw);
555 vvdwsum = _mm256_add_pd(vvdwsum,vvdw);
557 fscal = _mm256_add_pd(felec,fvdw);
559 fscal = _mm256_andnot_pd(dummy_mask,fscal);
561 /* Calculate temporary vectorial force */
562 tx = _mm256_mul_pd(fscal,dx00);
563 ty = _mm256_mul_pd(fscal,dy00);
564 tz = _mm256_mul_pd(fscal,dz00);
566 /* Update vectorial force */
567 fix0 = _mm256_add_pd(fix0,tx);
568 fiy0 = _mm256_add_pd(fiy0,ty);
569 fiz0 = _mm256_add_pd(fiz0,tz);
571 fjx0 = _mm256_add_pd(fjx0,tx);
572 fjy0 = _mm256_add_pd(fjy0,ty);
573 fjz0 = _mm256_add_pd(fjz0,tz);
575 /**************************
576 * CALCULATE INTERACTIONS *
577 **************************/
579 r10 = _mm256_mul_pd(rsq10,rinv10);
580 r10 = _mm256_andnot_pd(dummy_mask,r10);
582 /* Compute parameters for interactions between i and j atoms */
583 qq10 = _mm256_mul_pd(iq1,jq0);
585 /* EWALD ELECTROSTATICS */
587 /* Calculate Ewald table index by multiplying r with scale and truncate to integer */
588 ewrt = _mm256_mul_pd(r10,ewtabscale);
589 ewitab = _mm256_cvttpd_epi32(ewrt);
590 eweps = _mm256_sub_pd(ewrt,_mm256_round_pd(ewrt, _MM_FROUND_FLOOR));
591 ewitab = _mm_slli_epi32(ewitab,2);
592 ewtabF = _mm256_load_pd( ewtab + _mm_extract_epi32(ewitab,0) );
593 ewtabD = _mm256_load_pd( ewtab + _mm_extract_epi32(ewitab,1) );
594 ewtabV = _mm256_load_pd( ewtab + _mm_extract_epi32(ewitab,2) );
595 ewtabFn = _mm256_load_pd( ewtab + _mm_extract_epi32(ewitab,3) );
596 GMX_MM256_FULLTRANSPOSE4_PD(ewtabF,ewtabD,ewtabV,ewtabFn);
597 felec = _mm256_add_pd(ewtabF,_mm256_mul_pd(eweps,ewtabD));
598 velec = _mm256_sub_pd(ewtabV,_mm256_mul_pd(_mm256_mul_pd(ewtabhalfspace,eweps),_mm256_add_pd(ewtabF,felec)));
599 velec = _mm256_mul_pd(qq10,_mm256_sub_pd(rinv10,velec));
600 felec = _mm256_mul_pd(_mm256_mul_pd(qq10,rinv10),_mm256_sub_pd(rinvsq10,felec));
602 /* Update potential sum for this i atom from the interaction with this j atom. */
603 velec = _mm256_andnot_pd(dummy_mask,velec);
604 velecsum = _mm256_add_pd(velecsum,velec);
608 fscal = _mm256_andnot_pd(dummy_mask,fscal);
610 /* Calculate temporary vectorial force */
611 tx = _mm256_mul_pd(fscal,dx10);
612 ty = _mm256_mul_pd(fscal,dy10);
613 tz = _mm256_mul_pd(fscal,dz10);
615 /* Update vectorial force */
616 fix1 = _mm256_add_pd(fix1,tx);
617 fiy1 = _mm256_add_pd(fiy1,ty);
618 fiz1 = _mm256_add_pd(fiz1,tz);
620 fjx0 = _mm256_add_pd(fjx0,tx);
621 fjy0 = _mm256_add_pd(fjy0,ty);
622 fjz0 = _mm256_add_pd(fjz0,tz);
624 /**************************
625 * CALCULATE INTERACTIONS *
626 **************************/
628 r20 = _mm256_mul_pd(rsq20,rinv20);
629 r20 = _mm256_andnot_pd(dummy_mask,r20);
631 /* Compute parameters for interactions between i and j atoms */
632 qq20 = _mm256_mul_pd(iq2,jq0);
634 /* EWALD ELECTROSTATICS */
636 /* Calculate Ewald table index by multiplying r with scale and truncate to integer */
637 ewrt = _mm256_mul_pd(r20,ewtabscale);
638 ewitab = _mm256_cvttpd_epi32(ewrt);
639 eweps = _mm256_sub_pd(ewrt,_mm256_round_pd(ewrt, _MM_FROUND_FLOOR));
640 ewitab = _mm_slli_epi32(ewitab,2);
641 ewtabF = _mm256_load_pd( ewtab + _mm_extract_epi32(ewitab,0) );
642 ewtabD = _mm256_load_pd( ewtab + _mm_extract_epi32(ewitab,1) );
643 ewtabV = _mm256_load_pd( ewtab + _mm_extract_epi32(ewitab,2) );
644 ewtabFn = _mm256_load_pd( ewtab + _mm_extract_epi32(ewitab,3) );
645 GMX_MM256_FULLTRANSPOSE4_PD(ewtabF,ewtabD,ewtabV,ewtabFn);
646 felec = _mm256_add_pd(ewtabF,_mm256_mul_pd(eweps,ewtabD));
647 velec = _mm256_sub_pd(ewtabV,_mm256_mul_pd(_mm256_mul_pd(ewtabhalfspace,eweps),_mm256_add_pd(ewtabF,felec)));
648 velec = _mm256_mul_pd(qq20,_mm256_sub_pd(rinv20,velec));
649 felec = _mm256_mul_pd(_mm256_mul_pd(qq20,rinv20),_mm256_sub_pd(rinvsq20,felec));
651 /* Update potential sum for this i atom from the interaction with this j atom. */
652 velec = _mm256_andnot_pd(dummy_mask,velec);
653 velecsum = _mm256_add_pd(velecsum,velec);
657 fscal = _mm256_andnot_pd(dummy_mask,fscal);
659 /* Calculate temporary vectorial force */
660 tx = _mm256_mul_pd(fscal,dx20);
661 ty = _mm256_mul_pd(fscal,dy20);
662 tz = _mm256_mul_pd(fscal,dz20);
664 /* Update vectorial force */
665 fix2 = _mm256_add_pd(fix2,tx);
666 fiy2 = _mm256_add_pd(fiy2,ty);
667 fiz2 = _mm256_add_pd(fiz2,tz);
669 fjx0 = _mm256_add_pd(fjx0,tx);
670 fjy0 = _mm256_add_pd(fjy0,ty);
671 fjz0 = _mm256_add_pd(fjz0,tz);
673 fjptrA = (jnrlistA>=0) ? f+j_coord_offsetA : scratch;
674 fjptrB = (jnrlistB>=0) ? f+j_coord_offsetB : scratch;
675 fjptrC = (jnrlistC>=0) ? f+j_coord_offsetC : scratch;
676 fjptrD = (jnrlistD>=0) ? f+j_coord_offsetD : scratch;
678 gmx_mm256_decrement_1rvec_4ptr_swizzle_pd(fjptrA,fjptrB,fjptrC,fjptrD,fjx0,fjy0,fjz0);
680 /* Inner loop uses 160 flops */
683 /* End of innermost loop */
685 gmx_mm256_update_iforce_3atom_swizzle_pd(fix0,fiy0,fiz0,fix1,fiy1,fiz1,fix2,fiy2,fiz2,
686 f+i_coord_offset,fshift+i_shift_offset);
689 /* Update potential energies */
690 gmx_mm256_update_1pot_pd(velecsum,kernel_data->energygrp_elec+ggid);
691 gmx_mm256_update_1pot_pd(vvdwsum,kernel_data->energygrp_vdw+ggid);
693 /* Increment number of inner iterations */
694 inneriter += j_index_end - j_index_start;
696 /* Outer loop uses 20 flops */
699 /* Increment number of outer iterations */
702 /* Update outer/inner flops */
704 inc_nrnb(nrnb,eNR_NBKERNEL_ELEC_VDW_W3_VF,outeriter*20 + inneriter*160);
707 * Gromacs nonbonded kernel: nb_kernel_ElecEw_VdwLJEw_GeomW3P1_F_avx_256_double
708 * Electrostatics interaction: Ewald
709 * VdW interaction: LJEwald
710 * Geometry: Water3-Particle
711 * Calculate force/pot: Force
714 nb_kernel_ElecEw_VdwLJEw_GeomW3P1_F_avx_256_double
715 (t_nblist * gmx_restrict nlist,
716 rvec * gmx_restrict xx,
717 rvec * gmx_restrict ff,
718 t_forcerec * gmx_restrict fr,
719 t_mdatoms * gmx_restrict mdatoms,
720 nb_kernel_data_t gmx_unused * gmx_restrict kernel_data,
721 t_nrnb * gmx_restrict nrnb)
723 /* Suffixes 0,1,2,3 refer to particle indices for waters in the inner or outer loop, or
724 * just 0 for non-waters.
725 * Suffixes A,B,C,D refer to j loop unrolling done with AVX, e.g. for the four different
726 * jnr indices corresponding to data put in the four positions in the SIMD register.
728 int i_shift_offset,i_coord_offset,outeriter,inneriter;
729 int j_index_start,j_index_end,jidx,nri,inr,ggid,iidx;
730 int jnrA,jnrB,jnrC,jnrD;
731 int jnrlistA,jnrlistB,jnrlistC,jnrlistD;
732 int jnrlistE,jnrlistF,jnrlistG,jnrlistH;
733 int j_coord_offsetA,j_coord_offsetB,j_coord_offsetC,j_coord_offsetD;
734 int *iinr,*jindex,*jjnr,*shiftidx,*gid;
736 real *shiftvec,*fshift,*x,*f;
737 real *fjptrA,*fjptrB,*fjptrC,*fjptrD;
739 __m256d tx,ty,tz,fscal,rcutoff,rcutoff2,jidxall;
740 real * vdwioffsetptr0;
741 real * vdwgridioffsetptr0;
742 __m256d ix0,iy0,iz0,fix0,fiy0,fiz0,iq0,isai0;
743 real * vdwioffsetptr1;
744 real * vdwgridioffsetptr1;
745 __m256d ix1,iy1,iz1,fix1,fiy1,fiz1,iq1,isai1;
746 real * vdwioffsetptr2;
747 real * vdwgridioffsetptr2;
748 __m256d ix2,iy2,iz2,fix2,fiy2,fiz2,iq2,isai2;
749 int vdwjidx0A,vdwjidx0B,vdwjidx0C,vdwjidx0D;
750 __m256d jx0,jy0,jz0,fjx0,fjy0,fjz0,jq0,isaj0;
751 __m256d dx00,dy00,dz00,rsq00,rinv00,rinvsq00,r00,qq00,c6_00,c12_00;
752 __m256d dx10,dy10,dz10,rsq10,rinv10,rinvsq10,r10,qq10,c6_10,c12_10;
753 __m256d dx20,dy20,dz20,rsq20,rinv20,rinvsq20,r20,qq20,c6_20,c12_20;
754 __m256d velec,felec,velecsum,facel,crf,krf,krf2;
757 __m256d rinvsix,rvdw,vvdw,vvdw6,vvdw12,fvdw,fvdw6,fvdw12,vvdwsum,sh_vdw_invrcut6;
760 __m256d one_sixth = _mm256_set1_pd(1.0/6.0);
761 __m256d one_twelfth = _mm256_set1_pd(1.0/12.0);
766 __m256d ewclj,ewclj2,ewclj6,ewcljrsq,poly,exponent,f6A,f6B,sh_lj_ewald;
767 __m256d one_half = _mm256_set1_pd(0.5);
768 __m256d minus_one = _mm256_set1_pd(-1.0);
770 __m256d ewtabscale,eweps,sh_ewald,ewrt,ewtabhalfspace,ewtabF,ewtabFn,ewtabD,ewtabV;
771 __m256d beta,beta2,beta3,zeta2,pmecorrF,pmecorrV,rinv3;
773 __m256d dummy_mask,cutoff_mask;
774 __m128 tmpmask0,tmpmask1;
775 __m256d signbit = _mm256_castsi256_pd( _mm256_set1_epi32(0x80000000) );
776 __m256d one = _mm256_set1_pd(1.0);
777 __m256d two = _mm256_set1_pd(2.0);
783 jindex = nlist->jindex;
785 shiftidx = nlist->shift;
787 shiftvec = fr->shift_vec[0];
788 fshift = fr->fshift[0];
789 facel = _mm256_set1_pd(fr->epsfac);
790 charge = mdatoms->chargeA;
791 nvdwtype = fr->ntype;
793 vdwtype = mdatoms->typeA;
794 vdwgridparam = fr->ljpme_c6grid;
795 sh_lj_ewald = _mm256_set1_pd(fr->ic->sh_lj_ewald);
796 ewclj = _mm256_set1_pd(fr->ewaldcoeff_lj);
797 ewclj2 = _mm256_mul_pd(minus_one,_mm256_mul_pd(ewclj,ewclj));
799 sh_ewald = _mm256_set1_pd(fr->ic->sh_ewald);
800 beta = _mm256_set1_pd(fr->ic->ewaldcoeff_q);
801 beta2 = _mm256_mul_pd(beta,beta);
802 beta3 = _mm256_mul_pd(beta,beta2);
804 ewtab = fr->ic->tabq_coul_F;
805 ewtabscale = _mm256_set1_pd(fr->ic->tabq_scale);
806 ewtabhalfspace = _mm256_set1_pd(0.5/fr->ic->tabq_scale);
808 /* Setup water-specific parameters */
809 inr = nlist->iinr[0];
810 iq0 = _mm256_mul_pd(facel,_mm256_set1_pd(charge[inr+0]));
811 iq1 = _mm256_mul_pd(facel,_mm256_set1_pd(charge[inr+1]));
812 iq2 = _mm256_mul_pd(facel,_mm256_set1_pd(charge[inr+2]));
813 vdwioffsetptr0 = vdwparam+2*nvdwtype*vdwtype[inr+0];
814 vdwgridioffsetptr0 = vdwgridparam+2*nvdwtype*vdwtype[inr+0];
816 /* Avoid stupid compiler warnings */
817 jnrA = jnrB = jnrC = jnrD = 0;
826 for(iidx=0;iidx<4*DIM;iidx++)
831 /* Start outer loop over neighborlists */
832 for(iidx=0; iidx<nri; iidx++)
834 /* Load shift vector for this list */
835 i_shift_offset = DIM*shiftidx[iidx];
837 /* Load limits for loop over neighbors */
838 j_index_start = jindex[iidx];
839 j_index_end = jindex[iidx+1];
841 /* Get outer coordinate index */
843 i_coord_offset = DIM*inr;
845 /* Load i particle coords and add shift vector */
846 gmx_mm256_load_shift_and_3rvec_broadcast_pd(shiftvec+i_shift_offset,x+i_coord_offset,
847 &ix0,&iy0,&iz0,&ix1,&iy1,&iz1,&ix2,&iy2,&iz2);
849 fix0 = _mm256_setzero_pd();
850 fiy0 = _mm256_setzero_pd();
851 fiz0 = _mm256_setzero_pd();
852 fix1 = _mm256_setzero_pd();
853 fiy1 = _mm256_setzero_pd();
854 fiz1 = _mm256_setzero_pd();
855 fix2 = _mm256_setzero_pd();
856 fiy2 = _mm256_setzero_pd();
857 fiz2 = _mm256_setzero_pd();
859 /* Start inner kernel loop */
860 for(jidx=j_index_start; jidx<j_index_end && jjnr[jidx+3]>=0; jidx+=4)
863 /* Get j neighbor index, and coordinate index */
868 j_coord_offsetA = DIM*jnrA;
869 j_coord_offsetB = DIM*jnrB;
870 j_coord_offsetC = DIM*jnrC;
871 j_coord_offsetD = DIM*jnrD;
873 /* load j atom coordinates */
874 gmx_mm256_load_1rvec_4ptr_swizzle_pd(x+j_coord_offsetA,x+j_coord_offsetB,
875 x+j_coord_offsetC,x+j_coord_offsetD,
878 /* Calculate displacement vector */
879 dx00 = _mm256_sub_pd(ix0,jx0);
880 dy00 = _mm256_sub_pd(iy0,jy0);
881 dz00 = _mm256_sub_pd(iz0,jz0);
882 dx10 = _mm256_sub_pd(ix1,jx0);
883 dy10 = _mm256_sub_pd(iy1,jy0);
884 dz10 = _mm256_sub_pd(iz1,jz0);
885 dx20 = _mm256_sub_pd(ix2,jx0);
886 dy20 = _mm256_sub_pd(iy2,jy0);
887 dz20 = _mm256_sub_pd(iz2,jz0);
889 /* Calculate squared distance and things based on it */
890 rsq00 = gmx_mm256_calc_rsq_pd(dx00,dy00,dz00);
891 rsq10 = gmx_mm256_calc_rsq_pd(dx10,dy10,dz10);
892 rsq20 = gmx_mm256_calc_rsq_pd(dx20,dy20,dz20);
894 rinv00 = gmx_mm256_invsqrt_pd(rsq00);
895 rinv10 = gmx_mm256_invsqrt_pd(rsq10);
896 rinv20 = gmx_mm256_invsqrt_pd(rsq20);
898 rinvsq00 = _mm256_mul_pd(rinv00,rinv00);
899 rinvsq10 = _mm256_mul_pd(rinv10,rinv10);
900 rinvsq20 = _mm256_mul_pd(rinv20,rinv20);
902 /* Load parameters for j particles */
903 jq0 = gmx_mm256_load_4real_swizzle_pd(charge+jnrA+0,charge+jnrB+0,
904 charge+jnrC+0,charge+jnrD+0);
905 vdwjidx0A = 2*vdwtype[jnrA+0];
906 vdwjidx0B = 2*vdwtype[jnrB+0];
907 vdwjidx0C = 2*vdwtype[jnrC+0];
908 vdwjidx0D = 2*vdwtype[jnrD+0];
910 fjx0 = _mm256_setzero_pd();
911 fjy0 = _mm256_setzero_pd();
912 fjz0 = _mm256_setzero_pd();
914 /**************************
915 * CALCULATE INTERACTIONS *
916 **************************/
918 r00 = _mm256_mul_pd(rsq00,rinv00);
920 /* Compute parameters for interactions between i and j atoms */
921 qq00 = _mm256_mul_pd(iq0,jq0);
922 gmx_mm256_load_4pair_swizzle_pd(vdwioffsetptr0+vdwjidx0A,
923 vdwioffsetptr0+vdwjidx0B,
924 vdwioffsetptr0+vdwjidx0C,
925 vdwioffsetptr0+vdwjidx0D,
928 c6grid_00 = gmx_mm256_load_4real_swizzle_pd(vdwgridioffsetptr0+vdwjidx0A,
929 vdwgridioffsetptr0+vdwjidx0B,
930 vdwgridioffsetptr0+vdwjidx0C,
931 vdwgridioffsetptr0+vdwjidx0D);
933 /* EWALD ELECTROSTATICS */
935 /* Calculate Ewald table index by multiplying r with scale and truncate to integer */
936 ewrt = _mm256_mul_pd(r00,ewtabscale);
937 ewitab = _mm256_cvttpd_epi32(ewrt);
938 eweps = _mm256_sub_pd(ewrt,_mm256_round_pd(ewrt, _MM_FROUND_FLOOR));
939 gmx_mm256_load_4pair_swizzle_pd(ewtab + _mm_extract_epi32(ewitab,0),ewtab + _mm_extract_epi32(ewitab,1),
940 ewtab + _mm_extract_epi32(ewitab,2),ewtab + _mm_extract_epi32(ewitab,3),
942 felec = _mm256_add_pd(_mm256_mul_pd( _mm256_sub_pd(one,eweps),ewtabF),_mm256_mul_pd(eweps,ewtabFn));
943 felec = _mm256_mul_pd(_mm256_mul_pd(qq00,rinv00),_mm256_sub_pd(rinvsq00,felec));
945 /* Analytical LJ-PME */
946 rinvsix = _mm256_mul_pd(_mm256_mul_pd(rinvsq00,rinvsq00),rinvsq00);
947 ewcljrsq = _mm256_mul_pd(ewclj2,rsq00);
948 ewclj6 = _mm256_mul_pd(ewclj2,_mm256_mul_pd(ewclj2,ewclj2));
949 exponent = gmx_simd_exp_d(ewcljrsq);
950 /* poly = exp(-(beta*r)^2) * (1 + (beta*r)^2 + (beta*r)^4 /2) */
951 poly = _mm256_mul_pd(exponent,_mm256_add_pd(_mm256_sub_pd(one,ewcljrsq),_mm256_mul_pd(_mm256_mul_pd(ewcljrsq,ewcljrsq),one_half)));
952 /* f6A = 6 * C6grid * (1 - poly) */
953 f6A = _mm256_mul_pd(c6grid_00,_mm256_sub_pd(one,poly));
954 /* f6B = C6grid * exponent * beta^6 */
955 f6B = _mm256_mul_pd(_mm256_mul_pd(c6grid_00,one_sixth),_mm256_mul_pd(exponent,ewclj6));
956 /* fvdw = 12*C12/r13 - ((6*C6 - f6A)/r6 + f6B)/r */
957 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);
959 fscal = _mm256_add_pd(felec,fvdw);
961 /* Calculate temporary vectorial force */
962 tx = _mm256_mul_pd(fscal,dx00);
963 ty = _mm256_mul_pd(fscal,dy00);
964 tz = _mm256_mul_pd(fscal,dz00);
966 /* Update vectorial force */
967 fix0 = _mm256_add_pd(fix0,tx);
968 fiy0 = _mm256_add_pd(fiy0,ty);
969 fiz0 = _mm256_add_pd(fiz0,tz);
971 fjx0 = _mm256_add_pd(fjx0,tx);
972 fjy0 = _mm256_add_pd(fjy0,ty);
973 fjz0 = _mm256_add_pd(fjz0,tz);
975 /**************************
976 * CALCULATE INTERACTIONS *
977 **************************/
979 r10 = _mm256_mul_pd(rsq10,rinv10);
981 /* Compute parameters for interactions between i and j atoms */
982 qq10 = _mm256_mul_pd(iq1,jq0);
984 /* EWALD ELECTROSTATICS */
986 /* Calculate Ewald table index by multiplying r with scale and truncate to integer */
987 ewrt = _mm256_mul_pd(r10,ewtabscale);
988 ewitab = _mm256_cvttpd_epi32(ewrt);
989 eweps = _mm256_sub_pd(ewrt,_mm256_round_pd(ewrt, _MM_FROUND_FLOOR));
990 gmx_mm256_load_4pair_swizzle_pd(ewtab + _mm_extract_epi32(ewitab,0),ewtab + _mm_extract_epi32(ewitab,1),
991 ewtab + _mm_extract_epi32(ewitab,2),ewtab + _mm_extract_epi32(ewitab,3),
993 felec = _mm256_add_pd(_mm256_mul_pd( _mm256_sub_pd(one,eweps),ewtabF),_mm256_mul_pd(eweps,ewtabFn));
994 felec = _mm256_mul_pd(_mm256_mul_pd(qq10,rinv10),_mm256_sub_pd(rinvsq10,felec));
998 /* Calculate temporary vectorial force */
999 tx = _mm256_mul_pd(fscal,dx10);
1000 ty = _mm256_mul_pd(fscal,dy10);
1001 tz = _mm256_mul_pd(fscal,dz10);
1003 /* Update vectorial force */
1004 fix1 = _mm256_add_pd(fix1,tx);
1005 fiy1 = _mm256_add_pd(fiy1,ty);
1006 fiz1 = _mm256_add_pd(fiz1,tz);
1008 fjx0 = _mm256_add_pd(fjx0,tx);
1009 fjy0 = _mm256_add_pd(fjy0,ty);
1010 fjz0 = _mm256_add_pd(fjz0,tz);
1012 /**************************
1013 * CALCULATE INTERACTIONS *
1014 **************************/
1016 r20 = _mm256_mul_pd(rsq20,rinv20);
1018 /* Compute parameters for interactions between i and j atoms */
1019 qq20 = _mm256_mul_pd(iq2,jq0);
1021 /* EWALD ELECTROSTATICS */
1023 /* Calculate Ewald table index by multiplying r with scale and truncate to integer */
1024 ewrt = _mm256_mul_pd(r20,ewtabscale);
1025 ewitab = _mm256_cvttpd_epi32(ewrt);
1026 eweps = _mm256_sub_pd(ewrt,_mm256_round_pd(ewrt, _MM_FROUND_FLOOR));
1027 gmx_mm256_load_4pair_swizzle_pd(ewtab + _mm_extract_epi32(ewitab,0),ewtab + _mm_extract_epi32(ewitab,1),
1028 ewtab + _mm_extract_epi32(ewitab,2),ewtab + _mm_extract_epi32(ewitab,3),
1030 felec = _mm256_add_pd(_mm256_mul_pd( _mm256_sub_pd(one,eweps),ewtabF),_mm256_mul_pd(eweps,ewtabFn));
1031 felec = _mm256_mul_pd(_mm256_mul_pd(qq20,rinv20),_mm256_sub_pd(rinvsq20,felec));
1035 /* Calculate temporary vectorial force */
1036 tx = _mm256_mul_pd(fscal,dx20);
1037 ty = _mm256_mul_pd(fscal,dy20);
1038 tz = _mm256_mul_pd(fscal,dz20);
1040 /* Update vectorial force */
1041 fix2 = _mm256_add_pd(fix2,tx);
1042 fiy2 = _mm256_add_pd(fiy2,ty);
1043 fiz2 = _mm256_add_pd(fiz2,tz);
1045 fjx0 = _mm256_add_pd(fjx0,tx);
1046 fjy0 = _mm256_add_pd(fjy0,ty);
1047 fjz0 = _mm256_add_pd(fjz0,tz);
1049 fjptrA = f+j_coord_offsetA;
1050 fjptrB = f+j_coord_offsetB;
1051 fjptrC = f+j_coord_offsetC;
1052 fjptrD = f+j_coord_offsetD;
1054 gmx_mm256_decrement_1rvec_4ptr_swizzle_pd(fjptrA,fjptrB,fjptrC,fjptrD,fjx0,fjy0,fjz0);
1056 /* Inner loop uses 134 flops */
1059 if(jidx<j_index_end)
1062 /* Get j neighbor index, and coordinate index */
1063 jnrlistA = jjnr[jidx];
1064 jnrlistB = jjnr[jidx+1];
1065 jnrlistC = jjnr[jidx+2];
1066 jnrlistD = jjnr[jidx+3];
1067 /* Sign of each element will be negative for non-real atoms.
1068 * This mask will be 0xFFFFFFFF for dummy entries and 0x0 for real ones,
1069 * so use it as val = _mm_andnot_pd(mask,val) to clear dummy entries.
1071 tmpmask0 = gmx_mm_castsi128_ps(_mm_cmplt_epi32(_mm_loadu_si128((const __m128i *)(jjnr+jidx)),_mm_setzero_si128()));
1073 tmpmask1 = _mm_permute_ps(tmpmask0,_GMX_MM_PERMUTE(3,3,2,2));
1074 tmpmask0 = _mm_permute_ps(tmpmask0,_GMX_MM_PERMUTE(1,1,0,0));
1075 dummy_mask = _mm256_castps_pd(gmx_mm256_set_m128(tmpmask1,tmpmask0));
1077 jnrA = (jnrlistA>=0) ? jnrlistA : 0;
1078 jnrB = (jnrlistB>=0) ? jnrlistB : 0;
1079 jnrC = (jnrlistC>=0) ? jnrlistC : 0;
1080 jnrD = (jnrlistD>=0) ? jnrlistD : 0;
1081 j_coord_offsetA = DIM*jnrA;
1082 j_coord_offsetB = DIM*jnrB;
1083 j_coord_offsetC = DIM*jnrC;
1084 j_coord_offsetD = DIM*jnrD;
1086 /* load j atom coordinates */
1087 gmx_mm256_load_1rvec_4ptr_swizzle_pd(x+j_coord_offsetA,x+j_coord_offsetB,
1088 x+j_coord_offsetC,x+j_coord_offsetD,
1091 /* Calculate displacement vector */
1092 dx00 = _mm256_sub_pd(ix0,jx0);
1093 dy00 = _mm256_sub_pd(iy0,jy0);
1094 dz00 = _mm256_sub_pd(iz0,jz0);
1095 dx10 = _mm256_sub_pd(ix1,jx0);
1096 dy10 = _mm256_sub_pd(iy1,jy0);
1097 dz10 = _mm256_sub_pd(iz1,jz0);
1098 dx20 = _mm256_sub_pd(ix2,jx0);
1099 dy20 = _mm256_sub_pd(iy2,jy0);
1100 dz20 = _mm256_sub_pd(iz2,jz0);
1102 /* Calculate squared distance and things based on it */
1103 rsq00 = gmx_mm256_calc_rsq_pd(dx00,dy00,dz00);
1104 rsq10 = gmx_mm256_calc_rsq_pd(dx10,dy10,dz10);
1105 rsq20 = gmx_mm256_calc_rsq_pd(dx20,dy20,dz20);
1107 rinv00 = gmx_mm256_invsqrt_pd(rsq00);
1108 rinv10 = gmx_mm256_invsqrt_pd(rsq10);
1109 rinv20 = gmx_mm256_invsqrt_pd(rsq20);
1111 rinvsq00 = _mm256_mul_pd(rinv00,rinv00);
1112 rinvsq10 = _mm256_mul_pd(rinv10,rinv10);
1113 rinvsq20 = _mm256_mul_pd(rinv20,rinv20);
1115 /* Load parameters for j particles */
1116 jq0 = gmx_mm256_load_4real_swizzle_pd(charge+jnrA+0,charge+jnrB+0,
1117 charge+jnrC+0,charge+jnrD+0);
1118 vdwjidx0A = 2*vdwtype[jnrA+0];
1119 vdwjidx0B = 2*vdwtype[jnrB+0];
1120 vdwjidx0C = 2*vdwtype[jnrC+0];
1121 vdwjidx0D = 2*vdwtype[jnrD+0];
1123 fjx0 = _mm256_setzero_pd();
1124 fjy0 = _mm256_setzero_pd();
1125 fjz0 = _mm256_setzero_pd();
1127 /**************************
1128 * CALCULATE INTERACTIONS *
1129 **************************/
1131 r00 = _mm256_mul_pd(rsq00,rinv00);
1132 r00 = _mm256_andnot_pd(dummy_mask,r00);
1134 /* Compute parameters for interactions between i and j atoms */
1135 qq00 = _mm256_mul_pd(iq0,jq0);
1136 gmx_mm256_load_4pair_swizzle_pd(vdwioffsetptr0+vdwjidx0A,
1137 vdwioffsetptr0+vdwjidx0B,
1138 vdwioffsetptr0+vdwjidx0C,
1139 vdwioffsetptr0+vdwjidx0D,
1142 c6grid_00 = gmx_mm256_load_4real_swizzle_pd(vdwgridioffsetptr0+vdwjidx0A,
1143 vdwgridioffsetptr0+vdwjidx0B,
1144 vdwgridioffsetptr0+vdwjidx0C,
1145 vdwgridioffsetptr0+vdwjidx0D);
1147 /* EWALD ELECTROSTATICS */
1149 /* Calculate Ewald table index by multiplying r with scale and truncate to integer */
1150 ewrt = _mm256_mul_pd(r00,ewtabscale);
1151 ewitab = _mm256_cvttpd_epi32(ewrt);
1152 eweps = _mm256_sub_pd(ewrt,_mm256_round_pd(ewrt, _MM_FROUND_FLOOR));
1153 gmx_mm256_load_4pair_swizzle_pd(ewtab + _mm_extract_epi32(ewitab,0),ewtab + _mm_extract_epi32(ewitab,1),
1154 ewtab + _mm_extract_epi32(ewitab,2),ewtab + _mm_extract_epi32(ewitab,3),
1156 felec = _mm256_add_pd(_mm256_mul_pd( _mm256_sub_pd(one,eweps),ewtabF),_mm256_mul_pd(eweps,ewtabFn));
1157 felec = _mm256_mul_pd(_mm256_mul_pd(qq00,rinv00),_mm256_sub_pd(rinvsq00,felec));
1159 /* Analytical LJ-PME */
1160 rinvsix = _mm256_mul_pd(_mm256_mul_pd(rinvsq00,rinvsq00),rinvsq00);
1161 ewcljrsq = _mm256_mul_pd(ewclj2,rsq00);
1162 ewclj6 = _mm256_mul_pd(ewclj2,_mm256_mul_pd(ewclj2,ewclj2));
1163 exponent = gmx_simd_exp_d(ewcljrsq);
1164 /* poly = exp(-(beta*r)^2) * (1 + (beta*r)^2 + (beta*r)^4 /2) */
1165 poly = _mm256_mul_pd(exponent,_mm256_add_pd(_mm256_sub_pd(one,ewcljrsq),_mm256_mul_pd(_mm256_mul_pd(ewcljrsq,ewcljrsq),one_half)));
1166 /* f6A = 6 * C6grid * (1 - poly) */
1167 f6A = _mm256_mul_pd(c6grid_00,_mm256_sub_pd(one,poly));
1168 /* f6B = C6grid * exponent * beta^6 */
1169 f6B = _mm256_mul_pd(_mm256_mul_pd(c6grid_00,one_sixth),_mm256_mul_pd(exponent,ewclj6));
1170 /* fvdw = 12*C12/r13 - ((6*C6 - f6A)/r6 + f6B)/r */
1171 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);
1173 fscal = _mm256_add_pd(felec,fvdw);
1175 fscal = _mm256_andnot_pd(dummy_mask,fscal);
1177 /* Calculate temporary vectorial force */
1178 tx = _mm256_mul_pd(fscal,dx00);
1179 ty = _mm256_mul_pd(fscal,dy00);
1180 tz = _mm256_mul_pd(fscal,dz00);
1182 /* Update vectorial force */
1183 fix0 = _mm256_add_pd(fix0,tx);
1184 fiy0 = _mm256_add_pd(fiy0,ty);
1185 fiz0 = _mm256_add_pd(fiz0,tz);
1187 fjx0 = _mm256_add_pd(fjx0,tx);
1188 fjy0 = _mm256_add_pd(fjy0,ty);
1189 fjz0 = _mm256_add_pd(fjz0,tz);
1191 /**************************
1192 * CALCULATE INTERACTIONS *
1193 **************************/
1195 r10 = _mm256_mul_pd(rsq10,rinv10);
1196 r10 = _mm256_andnot_pd(dummy_mask,r10);
1198 /* Compute parameters for interactions between i and j atoms */
1199 qq10 = _mm256_mul_pd(iq1,jq0);
1201 /* EWALD ELECTROSTATICS */
1203 /* Calculate Ewald table index by multiplying r with scale and truncate to integer */
1204 ewrt = _mm256_mul_pd(r10,ewtabscale);
1205 ewitab = _mm256_cvttpd_epi32(ewrt);
1206 eweps = _mm256_sub_pd(ewrt,_mm256_round_pd(ewrt, _MM_FROUND_FLOOR));
1207 gmx_mm256_load_4pair_swizzle_pd(ewtab + _mm_extract_epi32(ewitab,0),ewtab + _mm_extract_epi32(ewitab,1),
1208 ewtab + _mm_extract_epi32(ewitab,2),ewtab + _mm_extract_epi32(ewitab,3),
1210 felec = _mm256_add_pd(_mm256_mul_pd( _mm256_sub_pd(one,eweps),ewtabF),_mm256_mul_pd(eweps,ewtabFn));
1211 felec = _mm256_mul_pd(_mm256_mul_pd(qq10,rinv10),_mm256_sub_pd(rinvsq10,felec));
1215 fscal = _mm256_andnot_pd(dummy_mask,fscal);
1217 /* Calculate temporary vectorial force */
1218 tx = _mm256_mul_pd(fscal,dx10);
1219 ty = _mm256_mul_pd(fscal,dy10);
1220 tz = _mm256_mul_pd(fscal,dz10);
1222 /* Update vectorial force */
1223 fix1 = _mm256_add_pd(fix1,tx);
1224 fiy1 = _mm256_add_pd(fiy1,ty);
1225 fiz1 = _mm256_add_pd(fiz1,tz);
1227 fjx0 = _mm256_add_pd(fjx0,tx);
1228 fjy0 = _mm256_add_pd(fjy0,ty);
1229 fjz0 = _mm256_add_pd(fjz0,tz);
1231 /**************************
1232 * CALCULATE INTERACTIONS *
1233 **************************/
1235 r20 = _mm256_mul_pd(rsq20,rinv20);
1236 r20 = _mm256_andnot_pd(dummy_mask,r20);
1238 /* Compute parameters for interactions between i and j atoms */
1239 qq20 = _mm256_mul_pd(iq2,jq0);
1241 /* EWALD ELECTROSTATICS */
1243 /* Calculate Ewald table index by multiplying r with scale and truncate to integer */
1244 ewrt = _mm256_mul_pd(r20,ewtabscale);
1245 ewitab = _mm256_cvttpd_epi32(ewrt);
1246 eweps = _mm256_sub_pd(ewrt,_mm256_round_pd(ewrt, _MM_FROUND_FLOOR));
1247 gmx_mm256_load_4pair_swizzle_pd(ewtab + _mm_extract_epi32(ewitab,0),ewtab + _mm_extract_epi32(ewitab,1),
1248 ewtab + _mm_extract_epi32(ewitab,2),ewtab + _mm_extract_epi32(ewitab,3),
1250 felec = _mm256_add_pd(_mm256_mul_pd( _mm256_sub_pd(one,eweps),ewtabF),_mm256_mul_pd(eweps,ewtabFn));
1251 felec = _mm256_mul_pd(_mm256_mul_pd(qq20,rinv20),_mm256_sub_pd(rinvsq20,felec));
1255 fscal = _mm256_andnot_pd(dummy_mask,fscal);
1257 /* Calculate temporary vectorial force */
1258 tx = _mm256_mul_pd(fscal,dx20);
1259 ty = _mm256_mul_pd(fscal,dy20);
1260 tz = _mm256_mul_pd(fscal,dz20);
1262 /* Update vectorial force */
1263 fix2 = _mm256_add_pd(fix2,tx);
1264 fiy2 = _mm256_add_pd(fiy2,ty);
1265 fiz2 = _mm256_add_pd(fiz2,tz);
1267 fjx0 = _mm256_add_pd(fjx0,tx);
1268 fjy0 = _mm256_add_pd(fjy0,ty);
1269 fjz0 = _mm256_add_pd(fjz0,tz);
1271 fjptrA = (jnrlistA>=0) ? f+j_coord_offsetA : scratch;
1272 fjptrB = (jnrlistB>=0) ? f+j_coord_offsetB : scratch;
1273 fjptrC = (jnrlistC>=0) ? f+j_coord_offsetC : scratch;
1274 fjptrD = (jnrlistD>=0) ? f+j_coord_offsetD : scratch;
1276 gmx_mm256_decrement_1rvec_4ptr_swizzle_pd(fjptrA,fjptrB,fjptrC,fjptrD,fjx0,fjy0,fjz0);
1278 /* Inner loop uses 137 flops */
1281 /* End of innermost loop */
1283 gmx_mm256_update_iforce_3atom_swizzle_pd(fix0,fiy0,fiz0,fix1,fiy1,fiz1,fix2,fiy2,fiz2,
1284 f+i_coord_offset,fshift+i_shift_offset);
1286 /* Increment number of inner iterations */
1287 inneriter += j_index_end - j_index_start;
1289 /* Outer loop uses 18 flops */
1292 /* Increment number of outer iterations */
1295 /* Update outer/inner flops */
1297 inc_nrnb(nrnb,eNR_NBKERNEL_ELEC_VDW_W3_F,outeriter*18 + inneriter*137);