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36 * Note: this file was generated by the GROMACS avx_128_fma_double kernel generator.
44 #include "../nb_kernel.h"
45 #include "types/simple.h"
49 #include "gromacs/simd/math_x86_avx_128_fma_double.h"
50 #include "kernelutil_x86_avx_128_fma_double.h"
53 * Gromacs nonbonded kernel: nb_kernel_ElecEwSh_VdwLJEwSh_GeomW4P1_VF_avx_128_fma_double
54 * Electrostatics interaction: Ewald
55 * VdW interaction: LJEwald
56 * Geometry: Water4-Particle
57 * Calculate force/pot: PotentialAndForce
60 nb_kernel_ElecEwSh_VdwLJEwSh_GeomW4P1_VF_avx_128_fma_double
61 (t_nblist * gmx_restrict nlist,
62 rvec * gmx_restrict xx,
63 rvec * gmx_restrict ff,
64 t_forcerec * gmx_restrict fr,
65 t_mdatoms * gmx_restrict mdatoms,
66 nb_kernel_data_t gmx_unused * gmx_restrict kernel_data,
67 t_nrnb * gmx_restrict nrnb)
69 /* Suffixes 0,1,2,3 refer to particle indices for waters in the inner or outer loop, or
70 * just 0 for non-waters.
71 * Suffixes A,B refer to j loop unrolling done with SSE double precision, e.g. for the two different
72 * jnr indices corresponding to data put in the four positions in the SIMD register.
74 int i_shift_offset,i_coord_offset,outeriter,inneriter;
75 int j_index_start,j_index_end,jidx,nri,inr,ggid,iidx;
77 int j_coord_offsetA,j_coord_offsetB;
78 int *iinr,*jindex,*jjnr,*shiftidx,*gid;
80 real *shiftvec,*fshift,*x,*f;
81 __m128d tx,ty,tz,fscal,rcutoff,rcutoff2,jidxall;
83 __m128d ix0,iy0,iz0,fix0,fiy0,fiz0,iq0,isai0;
85 __m128d ix1,iy1,iz1,fix1,fiy1,fiz1,iq1,isai1;
87 __m128d ix2,iy2,iz2,fix2,fiy2,fiz2,iq2,isai2;
89 __m128d ix3,iy3,iz3,fix3,fiy3,fiz3,iq3,isai3;
90 int vdwjidx0A,vdwjidx0B;
91 __m128d jx0,jy0,jz0,fjx0,fjy0,fjz0,jq0,isaj0;
92 __m128d dx00,dy00,dz00,rsq00,rinv00,rinvsq00,r00,qq00,c6_00,c12_00;
93 __m128d dx10,dy10,dz10,rsq10,rinv10,rinvsq10,r10,qq10,c6_10,c12_10;
94 __m128d dx20,dy20,dz20,rsq20,rinv20,rinvsq20,r20,qq20,c6_20,c12_20;
95 __m128d dx30,dy30,dz30,rsq30,rinv30,rinvsq30,r30,qq30,c6_30,c12_30;
96 __m128d velec,felec,velecsum,facel,crf,krf,krf2;
99 __m128d rinvsix,rvdw,vvdw,vvdw6,vvdw12,fvdw,fvdw6,fvdw12,vvdwsum,sh_vdw_invrcut6;
102 __m128d one_sixth = _mm_set1_pd(1.0/6.0);
103 __m128d one_twelfth = _mm_set1_pd(1.0/12.0);
109 __m128d ewclj,ewclj2,ewclj6,ewcljrsq,poly,exponent,f6A,f6B,sh_lj_ewald;
110 __m128d one_half = _mm_set1_pd(0.5);
111 __m128d minus_one = _mm_set1_pd(-1.0);
113 __m128d ewtabscale,eweps,twoeweps,sh_ewald,ewrt,ewtabhalfspace,ewtabF,ewtabFn,ewtabD,ewtabV;
115 __m128d dummy_mask,cutoff_mask;
116 __m128d signbit = gmx_mm_castsi128_pd( _mm_set_epi32(0x80000000,0x00000000,0x80000000,0x00000000) );
117 __m128d one = _mm_set1_pd(1.0);
118 __m128d two = _mm_set1_pd(2.0);
124 jindex = nlist->jindex;
126 shiftidx = nlist->shift;
128 shiftvec = fr->shift_vec[0];
129 fshift = fr->fshift[0];
130 facel = _mm_set1_pd(fr->epsfac);
131 charge = mdatoms->chargeA;
132 nvdwtype = fr->ntype;
134 vdwtype = mdatoms->typeA;
135 vdwgridparam = fr->ljpme_c6grid;
136 sh_lj_ewald = _mm_set1_pd(fr->ic->sh_lj_ewald);
137 ewclj = _mm_set1_pd(fr->ewaldcoeff_lj);
138 ewclj2 = _mm_mul_pd(minus_one,_mm_mul_pd(ewclj,ewclj));
140 sh_ewald = _mm_set1_pd(fr->ic->sh_ewald);
141 ewtab = fr->ic->tabq_coul_FDV0;
142 ewtabscale = _mm_set1_pd(fr->ic->tabq_scale);
143 ewtabhalfspace = _mm_set1_pd(0.5/fr->ic->tabq_scale);
145 /* Setup water-specific parameters */
146 inr = nlist->iinr[0];
147 iq1 = _mm_mul_pd(facel,_mm_set1_pd(charge[inr+1]));
148 iq2 = _mm_mul_pd(facel,_mm_set1_pd(charge[inr+2]));
149 iq3 = _mm_mul_pd(facel,_mm_set1_pd(charge[inr+3]));
150 vdwioffset0 = 2*nvdwtype*vdwtype[inr+0];
152 /* When we use explicit cutoffs the value must be identical for elec and VdW, so use elec as an arbitrary choice */
153 rcutoff_scalar = fr->rcoulomb;
154 rcutoff = _mm_set1_pd(rcutoff_scalar);
155 rcutoff2 = _mm_mul_pd(rcutoff,rcutoff);
157 sh_vdw_invrcut6 = _mm_set1_pd(fr->ic->sh_invrc6);
158 rvdw = _mm_set1_pd(fr->rvdw);
160 /* Avoid stupid compiler warnings */
168 /* Start outer loop over neighborlists */
169 for(iidx=0; iidx<nri; iidx++)
171 /* Load shift vector for this list */
172 i_shift_offset = DIM*shiftidx[iidx];
174 /* Load limits for loop over neighbors */
175 j_index_start = jindex[iidx];
176 j_index_end = jindex[iidx+1];
178 /* Get outer coordinate index */
180 i_coord_offset = DIM*inr;
182 /* Load i particle coords and add shift vector */
183 gmx_mm_load_shift_and_4rvec_broadcast_pd(shiftvec+i_shift_offset,x+i_coord_offset,
184 &ix0,&iy0,&iz0,&ix1,&iy1,&iz1,&ix2,&iy2,&iz2,&ix3,&iy3,&iz3);
186 fix0 = _mm_setzero_pd();
187 fiy0 = _mm_setzero_pd();
188 fiz0 = _mm_setzero_pd();
189 fix1 = _mm_setzero_pd();
190 fiy1 = _mm_setzero_pd();
191 fiz1 = _mm_setzero_pd();
192 fix2 = _mm_setzero_pd();
193 fiy2 = _mm_setzero_pd();
194 fiz2 = _mm_setzero_pd();
195 fix3 = _mm_setzero_pd();
196 fiy3 = _mm_setzero_pd();
197 fiz3 = _mm_setzero_pd();
199 /* Reset potential sums */
200 velecsum = _mm_setzero_pd();
201 vvdwsum = _mm_setzero_pd();
203 /* Start inner kernel loop */
204 for(jidx=j_index_start; jidx<j_index_end-1; jidx+=2)
207 /* Get j neighbor index, and coordinate index */
210 j_coord_offsetA = DIM*jnrA;
211 j_coord_offsetB = DIM*jnrB;
213 /* load j atom coordinates */
214 gmx_mm_load_1rvec_2ptr_swizzle_pd(x+j_coord_offsetA,x+j_coord_offsetB,
217 /* Calculate displacement vector */
218 dx00 = _mm_sub_pd(ix0,jx0);
219 dy00 = _mm_sub_pd(iy0,jy0);
220 dz00 = _mm_sub_pd(iz0,jz0);
221 dx10 = _mm_sub_pd(ix1,jx0);
222 dy10 = _mm_sub_pd(iy1,jy0);
223 dz10 = _mm_sub_pd(iz1,jz0);
224 dx20 = _mm_sub_pd(ix2,jx0);
225 dy20 = _mm_sub_pd(iy2,jy0);
226 dz20 = _mm_sub_pd(iz2,jz0);
227 dx30 = _mm_sub_pd(ix3,jx0);
228 dy30 = _mm_sub_pd(iy3,jy0);
229 dz30 = _mm_sub_pd(iz3,jz0);
231 /* Calculate squared distance and things based on it */
232 rsq00 = gmx_mm_calc_rsq_pd(dx00,dy00,dz00);
233 rsq10 = gmx_mm_calc_rsq_pd(dx10,dy10,dz10);
234 rsq20 = gmx_mm_calc_rsq_pd(dx20,dy20,dz20);
235 rsq30 = gmx_mm_calc_rsq_pd(dx30,dy30,dz30);
237 rinv00 = gmx_mm_invsqrt_pd(rsq00);
238 rinv10 = gmx_mm_invsqrt_pd(rsq10);
239 rinv20 = gmx_mm_invsqrt_pd(rsq20);
240 rinv30 = gmx_mm_invsqrt_pd(rsq30);
242 rinvsq00 = _mm_mul_pd(rinv00,rinv00);
243 rinvsq10 = _mm_mul_pd(rinv10,rinv10);
244 rinvsq20 = _mm_mul_pd(rinv20,rinv20);
245 rinvsq30 = _mm_mul_pd(rinv30,rinv30);
247 /* Load parameters for j particles */
248 jq0 = gmx_mm_load_2real_swizzle_pd(charge+jnrA+0,charge+jnrB+0);
249 vdwjidx0A = 2*vdwtype[jnrA+0];
250 vdwjidx0B = 2*vdwtype[jnrB+0];
252 fjx0 = _mm_setzero_pd();
253 fjy0 = _mm_setzero_pd();
254 fjz0 = _mm_setzero_pd();
256 /**************************
257 * CALCULATE INTERACTIONS *
258 **************************/
260 if (gmx_mm_any_lt(rsq00,rcutoff2))
263 r00 = _mm_mul_pd(rsq00,rinv00);
265 /* Compute parameters for interactions between i and j atoms */
266 gmx_mm_load_2pair_swizzle_pd(vdwparam+vdwioffset0+vdwjidx0A,
267 vdwparam+vdwioffset0+vdwjidx0B,&c6_00,&c12_00);
268 c6grid_00 = gmx_mm_load_2real_swizzle_pd(vdwgridparam+vdwioffset0+vdwjidx0A,
269 vdwgridparam+vdwioffset0+vdwjidx0B);
271 /* Analytical LJ-PME */
272 rinvsix = _mm_mul_pd(_mm_mul_pd(rinvsq00,rinvsq00),rinvsq00);
273 ewcljrsq = _mm_mul_pd(ewclj2,rsq00);
274 ewclj6 = _mm_mul_pd(ewclj2,_mm_mul_pd(ewclj2,ewclj2));
275 exponent = gmx_simd_exp_d(ewcljrsq);
276 /* poly = exp(-(beta*r)^2) * (1 + (beta*r)^2 + (beta*r)^4 /2) */
277 poly = _mm_mul_pd(exponent,_mm_macc_pd(_mm_mul_pd(ewcljrsq,ewcljrsq),one_half,_mm_sub_pd(one,ewcljrsq)));
278 /* vvdw6 = [C6 - C6grid * (1-poly)]/r6 */
279 vvdw6 = _mm_mul_pd(_mm_macc_pd(-c6grid_00,_mm_sub_pd(one,poly),c6_00),rinvsix);
280 vvdw12 = _mm_mul_pd(c12_00,_mm_mul_pd(rinvsix,rinvsix));
281 vvdw = _mm_msub_pd(_mm_nmacc_pd(c12_00,_mm_mul_pd(sh_vdw_invrcut6,sh_vdw_invrcut6),vvdw12),one_twelfth,
282 _mm_mul_pd(_mm_sub_pd(vvdw6,_mm_macc_pd(c6grid_00,sh_lj_ewald,_mm_mul_pd(c6_00,sh_vdw_invrcut6))),one_sixth));
283 /* fvdw = vvdw12/r - (vvdw6/r + (C6grid * exponent * beta^6)/r) */
284 fvdw = _mm_mul_pd(_mm_add_pd(vvdw12,_mm_msub_pd(_mm_mul_pd(c6grid_00,one_sixth),_mm_mul_pd(exponent,ewclj6),vvdw6)),rinvsq00);
286 cutoff_mask = _mm_cmplt_pd(rsq00,rcutoff2);
288 /* Update potential sum for this i atom from the interaction with this j atom. */
289 vvdw = _mm_and_pd(vvdw,cutoff_mask);
290 vvdwsum = _mm_add_pd(vvdwsum,vvdw);
294 fscal = _mm_and_pd(fscal,cutoff_mask);
296 /* Update vectorial force */
297 fix0 = _mm_macc_pd(dx00,fscal,fix0);
298 fiy0 = _mm_macc_pd(dy00,fscal,fiy0);
299 fiz0 = _mm_macc_pd(dz00,fscal,fiz0);
301 fjx0 = _mm_macc_pd(dx00,fscal,fjx0);
302 fjy0 = _mm_macc_pd(dy00,fscal,fjy0);
303 fjz0 = _mm_macc_pd(dz00,fscal,fjz0);
307 /**************************
308 * CALCULATE INTERACTIONS *
309 **************************/
311 if (gmx_mm_any_lt(rsq10,rcutoff2))
314 r10 = _mm_mul_pd(rsq10,rinv10);
316 /* Compute parameters for interactions between i and j atoms */
317 qq10 = _mm_mul_pd(iq1,jq0);
319 /* EWALD ELECTROSTATICS */
321 /* Calculate Ewald table index by multiplying r with scale and truncate to integer */
322 ewrt = _mm_mul_pd(r10,ewtabscale);
323 ewitab = _mm_cvttpd_epi32(ewrt);
325 eweps = _mm_frcz_pd(ewrt);
327 eweps = _mm_sub_pd(ewrt,_mm_round_pd(ewrt, _MM_FROUND_FLOOR));
329 twoeweps = _mm_add_pd(eweps,eweps);
330 ewitab = _mm_slli_epi32(ewitab,2);
331 ewtabF = _mm_load_pd( ewtab + _mm_extract_epi32(ewitab,0) );
332 ewtabD = _mm_load_pd( ewtab + _mm_extract_epi32(ewitab,1) );
333 GMX_MM_TRANSPOSE2_PD(ewtabF,ewtabD);
334 ewtabV = _mm_load_sd( ewtab + _mm_extract_epi32(ewitab,0) +2);
335 ewtabFn = _mm_load_sd( ewtab + _mm_extract_epi32(ewitab,1) +2);
336 GMX_MM_TRANSPOSE2_PD(ewtabV,ewtabFn);
337 felec = _mm_macc_pd(eweps,ewtabD,ewtabF);
338 velec = _mm_nmacc_pd(_mm_mul_pd(ewtabhalfspace,eweps) ,_mm_add_pd(ewtabF,felec), ewtabV);
339 velec = _mm_mul_pd(qq10,_mm_sub_pd(_mm_sub_pd(rinv10,sh_ewald),velec));
340 felec = _mm_mul_pd(_mm_mul_pd(qq10,rinv10),_mm_sub_pd(rinvsq10,felec));
342 cutoff_mask = _mm_cmplt_pd(rsq10,rcutoff2);
344 /* Update potential sum for this i atom from the interaction with this j atom. */
345 velec = _mm_and_pd(velec,cutoff_mask);
346 velecsum = _mm_add_pd(velecsum,velec);
350 fscal = _mm_and_pd(fscal,cutoff_mask);
352 /* Update vectorial force */
353 fix1 = _mm_macc_pd(dx10,fscal,fix1);
354 fiy1 = _mm_macc_pd(dy10,fscal,fiy1);
355 fiz1 = _mm_macc_pd(dz10,fscal,fiz1);
357 fjx0 = _mm_macc_pd(dx10,fscal,fjx0);
358 fjy0 = _mm_macc_pd(dy10,fscal,fjy0);
359 fjz0 = _mm_macc_pd(dz10,fscal,fjz0);
363 /**************************
364 * CALCULATE INTERACTIONS *
365 **************************/
367 if (gmx_mm_any_lt(rsq20,rcutoff2))
370 r20 = _mm_mul_pd(rsq20,rinv20);
372 /* Compute parameters for interactions between i and j atoms */
373 qq20 = _mm_mul_pd(iq2,jq0);
375 /* EWALD ELECTROSTATICS */
377 /* Calculate Ewald table index by multiplying r with scale and truncate to integer */
378 ewrt = _mm_mul_pd(r20,ewtabscale);
379 ewitab = _mm_cvttpd_epi32(ewrt);
381 eweps = _mm_frcz_pd(ewrt);
383 eweps = _mm_sub_pd(ewrt,_mm_round_pd(ewrt, _MM_FROUND_FLOOR));
385 twoeweps = _mm_add_pd(eweps,eweps);
386 ewitab = _mm_slli_epi32(ewitab,2);
387 ewtabF = _mm_load_pd( ewtab + _mm_extract_epi32(ewitab,0) );
388 ewtabD = _mm_load_pd( ewtab + _mm_extract_epi32(ewitab,1) );
389 GMX_MM_TRANSPOSE2_PD(ewtabF,ewtabD);
390 ewtabV = _mm_load_sd( ewtab + _mm_extract_epi32(ewitab,0) +2);
391 ewtabFn = _mm_load_sd( ewtab + _mm_extract_epi32(ewitab,1) +2);
392 GMX_MM_TRANSPOSE2_PD(ewtabV,ewtabFn);
393 felec = _mm_macc_pd(eweps,ewtabD,ewtabF);
394 velec = _mm_nmacc_pd(_mm_mul_pd(ewtabhalfspace,eweps) ,_mm_add_pd(ewtabF,felec), ewtabV);
395 velec = _mm_mul_pd(qq20,_mm_sub_pd(_mm_sub_pd(rinv20,sh_ewald),velec));
396 felec = _mm_mul_pd(_mm_mul_pd(qq20,rinv20),_mm_sub_pd(rinvsq20,felec));
398 cutoff_mask = _mm_cmplt_pd(rsq20,rcutoff2);
400 /* Update potential sum for this i atom from the interaction with this j atom. */
401 velec = _mm_and_pd(velec,cutoff_mask);
402 velecsum = _mm_add_pd(velecsum,velec);
406 fscal = _mm_and_pd(fscal,cutoff_mask);
408 /* Update vectorial force */
409 fix2 = _mm_macc_pd(dx20,fscal,fix2);
410 fiy2 = _mm_macc_pd(dy20,fscal,fiy2);
411 fiz2 = _mm_macc_pd(dz20,fscal,fiz2);
413 fjx0 = _mm_macc_pd(dx20,fscal,fjx0);
414 fjy0 = _mm_macc_pd(dy20,fscal,fjy0);
415 fjz0 = _mm_macc_pd(dz20,fscal,fjz0);
419 /**************************
420 * CALCULATE INTERACTIONS *
421 **************************/
423 if (gmx_mm_any_lt(rsq30,rcutoff2))
426 r30 = _mm_mul_pd(rsq30,rinv30);
428 /* Compute parameters for interactions between i and j atoms */
429 qq30 = _mm_mul_pd(iq3,jq0);
431 /* EWALD ELECTROSTATICS */
433 /* Calculate Ewald table index by multiplying r with scale and truncate to integer */
434 ewrt = _mm_mul_pd(r30,ewtabscale);
435 ewitab = _mm_cvttpd_epi32(ewrt);
437 eweps = _mm_frcz_pd(ewrt);
439 eweps = _mm_sub_pd(ewrt,_mm_round_pd(ewrt, _MM_FROUND_FLOOR));
441 twoeweps = _mm_add_pd(eweps,eweps);
442 ewitab = _mm_slli_epi32(ewitab,2);
443 ewtabF = _mm_load_pd( ewtab + _mm_extract_epi32(ewitab,0) );
444 ewtabD = _mm_load_pd( ewtab + _mm_extract_epi32(ewitab,1) );
445 GMX_MM_TRANSPOSE2_PD(ewtabF,ewtabD);
446 ewtabV = _mm_load_sd( ewtab + _mm_extract_epi32(ewitab,0) +2);
447 ewtabFn = _mm_load_sd( ewtab + _mm_extract_epi32(ewitab,1) +2);
448 GMX_MM_TRANSPOSE2_PD(ewtabV,ewtabFn);
449 felec = _mm_macc_pd(eweps,ewtabD,ewtabF);
450 velec = _mm_nmacc_pd(_mm_mul_pd(ewtabhalfspace,eweps) ,_mm_add_pd(ewtabF,felec), ewtabV);
451 velec = _mm_mul_pd(qq30,_mm_sub_pd(_mm_sub_pd(rinv30,sh_ewald),velec));
452 felec = _mm_mul_pd(_mm_mul_pd(qq30,rinv30),_mm_sub_pd(rinvsq30,felec));
454 cutoff_mask = _mm_cmplt_pd(rsq30,rcutoff2);
456 /* Update potential sum for this i atom from the interaction with this j atom. */
457 velec = _mm_and_pd(velec,cutoff_mask);
458 velecsum = _mm_add_pd(velecsum,velec);
462 fscal = _mm_and_pd(fscal,cutoff_mask);
464 /* Update vectorial force */
465 fix3 = _mm_macc_pd(dx30,fscal,fix3);
466 fiy3 = _mm_macc_pd(dy30,fscal,fiy3);
467 fiz3 = _mm_macc_pd(dz30,fscal,fiz3);
469 fjx0 = _mm_macc_pd(dx30,fscal,fjx0);
470 fjy0 = _mm_macc_pd(dy30,fscal,fjy0);
471 fjz0 = _mm_macc_pd(dz30,fscal,fjz0);
475 gmx_mm_decrement_1rvec_2ptr_swizzle_pd(f+j_coord_offsetA,f+j_coord_offsetB,fjx0,fjy0,fjz0);
477 /* Inner loop uses 208 flops */
484 j_coord_offsetA = DIM*jnrA;
486 /* load j atom coordinates */
487 gmx_mm_load_1rvec_1ptr_swizzle_pd(x+j_coord_offsetA,
490 /* Calculate displacement vector */
491 dx00 = _mm_sub_pd(ix0,jx0);
492 dy00 = _mm_sub_pd(iy0,jy0);
493 dz00 = _mm_sub_pd(iz0,jz0);
494 dx10 = _mm_sub_pd(ix1,jx0);
495 dy10 = _mm_sub_pd(iy1,jy0);
496 dz10 = _mm_sub_pd(iz1,jz0);
497 dx20 = _mm_sub_pd(ix2,jx0);
498 dy20 = _mm_sub_pd(iy2,jy0);
499 dz20 = _mm_sub_pd(iz2,jz0);
500 dx30 = _mm_sub_pd(ix3,jx0);
501 dy30 = _mm_sub_pd(iy3,jy0);
502 dz30 = _mm_sub_pd(iz3,jz0);
504 /* Calculate squared distance and things based on it */
505 rsq00 = gmx_mm_calc_rsq_pd(dx00,dy00,dz00);
506 rsq10 = gmx_mm_calc_rsq_pd(dx10,dy10,dz10);
507 rsq20 = gmx_mm_calc_rsq_pd(dx20,dy20,dz20);
508 rsq30 = gmx_mm_calc_rsq_pd(dx30,dy30,dz30);
510 rinv00 = gmx_mm_invsqrt_pd(rsq00);
511 rinv10 = gmx_mm_invsqrt_pd(rsq10);
512 rinv20 = gmx_mm_invsqrt_pd(rsq20);
513 rinv30 = gmx_mm_invsqrt_pd(rsq30);
515 rinvsq00 = _mm_mul_pd(rinv00,rinv00);
516 rinvsq10 = _mm_mul_pd(rinv10,rinv10);
517 rinvsq20 = _mm_mul_pd(rinv20,rinv20);
518 rinvsq30 = _mm_mul_pd(rinv30,rinv30);
520 /* Load parameters for j particles */
521 jq0 = _mm_load_sd(charge+jnrA+0);
522 vdwjidx0A = 2*vdwtype[jnrA+0];
524 fjx0 = _mm_setzero_pd();
525 fjy0 = _mm_setzero_pd();
526 fjz0 = _mm_setzero_pd();
528 /**************************
529 * CALCULATE INTERACTIONS *
530 **************************/
532 if (gmx_mm_any_lt(rsq00,rcutoff2))
535 r00 = _mm_mul_pd(rsq00,rinv00);
537 /* Compute parameters for interactions between i and j atoms */
538 gmx_mm_load_1pair_swizzle_pd(vdwparam+vdwioffset0+vdwjidx0A,&c6_00,&c12_00);
539 c6grid_00 = gmx_mm_load_1real_pd(vdwgridparam+vdwioffset0+vdwjidx0A);
541 /* Analytical LJ-PME */
542 rinvsix = _mm_mul_pd(_mm_mul_pd(rinvsq00,rinvsq00),rinvsq00);
543 ewcljrsq = _mm_mul_pd(ewclj2,rsq00);
544 ewclj6 = _mm_mul_pd(ewclj2,_mm_mul_pd(ewclj2,ewclj2));
545 exponent = gmx_simd_exp_d(ewcljrsq);
546 /* poly = exp(-(beta*r)^2) * (1 + (beta*r)^2 + (beta*r)^4 /2) */
547 poly = _mm_mul_pd(exponent,_mm_macc_pd(_mm_mul_pd(ewcljrsq,ewcljrsq),one_half,_mm_sub_pd(one,ewcljrsq)));
548 /* vvdw6 = [C6 - C6grid * (1-poly)]/r6 */
549 vvdw6 = _mm_mul_pd(_mm_macc_pd(-c6grid_00,_mm_sub_pd(one,poly),c6_00),rinvsix);
550 vvdw12 = _mm_mul_pd(c12_00,_mm_mul_pd(rinvsix,rinvsix));
551 vvdw = _mm_msub_pd(_mm_nmacc_pd(c12_00,_mm_mul_pd(sh_vdw_invrcut6,sh_vdw_invrcut6),vvdw12),one_twelfth,
552 _mm_mul_pd(_mm_sub_pd(vvdw6,_mm_macc_pd(c6grid_00,sh_lj_ewald,_mm_mul_pd(c6_00,sh_vdw_invrcut6))),one_sixth));
553 /* fvdw = vvdw12/r - (vvdw6/r + (C6grid * exponent * beta^6)/r) */
554 fvdw = _mm_mul_pd(_mm_add_pd(vvdw12,_mm_msub_pd(_mm_mul_pd(c6grid_00,one_sixth),_mm_mul_pd(exponent,ewclj6),vvdw6)),rinvsq00);
556 cutoff_mask = _mm_cmplt_pd(rsq00,rcutoff2);
558 /* Update potential sum for this i atom from the interaction with this j atom. */
559 vvdw = _mm_and_pd(vvdw,cutoff_mask);
560 vvdw = _mm_unpacklo_pd(vvdw,_mm_setzero_pd());
561 vvdwsum = _mm_add_pd(vvdwsum,vvdw);
565 fscal = _mm_and_pd(fscal,cutoff_mask);
567 fscal = _mm_unpacklo_pd(fscal,_mm_setzero_pd());
569 /* Update vectorial force */
570 fix0 = _mm_macc_pd(dx00,fscal,fix0);
571 fiy0 = _mm_macc_pd(dy00,fscal,fiy0);
572 fiz0 = _mm_macc_pd(dz00,fscal,fiz0);
574 fjx0 = _mm_macc_pd(dx00,fscal,fjx0);
575 fjy0 = _mm_macc_pd(dy00,fscal,fjy0);
576 fjz0 = _mm_macc_pd(dz00,fscal,fjz0);
580 /**************************
581 * CALCULATE INTERACTIONS *
582 **************************/
584 if (gmx_mm_any_lt(rsq10,rcutoff2))
587 r10 = _mm_mul_pd(rsq10,rinv10);
589 /* Compute parameters for interactions between i and j atoms */
590 qq10 = _mm_mul_pd(iq1,jq0);
592 /* EWALD ELECTROSTATICS */
594 /* Calculate Ewald table index by multiplying r with scale and truncate to integer */
595 ewrt = _mm_mul_pd(r10,ewtabscale);
596 ewitab = _mm_cvttpd_epi32(ewrt);
598 eweps = _mm_frcz_pd(ewrt);
600 eweps = _mm_sub_pd(ewrt,_mm_round_pd(ewrt, _MM_FROUND_FLOOR));
602 twoeweps = _mm_add_pd(eweps,eweps);
603 ewitab = _mm_slli_epi32(ewitab,2);
604 ewtabF = _mm_load_pd( ewtab + _mm_extract_epi32(ewitab,0) );
605 ewtabD = _mm_setzero_pd();
606 GMX_MM_TRANSPOSE2_PD(ewtabF,ewtabD);
607 ewtabV = _mm_load_sd( ewtab + _mm_extract_epi32(ewitab,0) +2);
608 ewtabFn = _mm_setzero_pd();
609 GMX_MM_TRANSPOSE2_PD(ewtabV,ewtabFn);
610 felec = _mm_macc_pd(eweps,ewtabD,ewtabF);
611 velec = _mm_nmacc_pd(_mm_mul_pd(ewtabhalfspace,eweps) ,_mm_add_pd(ewtabF,felec), ewtabV);
612 velec = _mm_mul_pd(qq10,_mm_sub_pd(_mm_sub_pd(rinv10,sh_ewald),velec));
613 felec = _mm_mul_pd(_mm_mul_pd(qq10,rinv10),_mm_sub_pd(rinvsq10,felec));
615 cutoff_mask = _mm_cmplt_pd(rsq10,rcutoff2);
617 /* Update potential sum for this i atom from the interaction with this j atom. */
618 velec = _mm_and_pd(velec,cutoff_mask);
619 velec = _mm_unpacklo_pd(velec,_mm_setzero_pd());
620 velecsum = _mm_add_pd(velecsum,velec);
624 fscal = _mm_and_pd(fscal,cutoff_mask);
626 fscal = _mm_unpacklo_pd(fscal,_mm_setzero_pd());
628 /* Update vectorial force */
629 fix1 = _mm_macc_pd(dx10,fscal,fix1);
630 fiy1 = _mm_macc_pd(dy10,fscal,fiy1);
631 fiz1 = _mm_macc_pd(dz10,fscal,fiz1);
633 fjx0 = _mm_macc_pd(dx10,fscal,fjx0);
634 fjy0 = _mm_macc_pd(dy10,fscal,fjy0);
635 fjz0 = _mm_macc_pd(dz10,fscal,fjz0);
639 /**************************
640 * CALCULATE INTERACTIONS *
641 **************************/
643 if (gmx_mm_any_lt(rsq20,rcutoff2))
646 r20 = _mm_mul_pd(rsq20,rinv20);
648 /* Compute parameters for interactions between i and j atoms */
649 qq20 = _mm_mul_pd(iq2,jq0);
651 /* EWALD ELECTROSTATICS */
653 /* Calculate Ewald table index by multiplying r with scale and truncate to integer */
654 ewrt = _mm_mul_pd(r20,ewtabscale);
655 ewitab = _mm_cvttpd_epi32(ewrt);
657 eweps = _mm_frcz_pd(ewrt);
659 eweps = _mm_sub_pd(ewrt,_mm_round_pd(ewrt, _MM_FROUND_FLOOR));
661 twoeweps = _mm_add_pd(eweps,eweps);
662 ewitab = _mm_slli_epi32(ewitab,2);
663 ewtabF = _mm_load_pd( ewtab + _mm_extract_epi32(ewitab,0) );
664 ewtabD = _mm_setzero_pd();
665 GMX_MM_TRANSPOSE2_PD(ewtabF,ewtabD);
666 ewtabV = _mm_load_sd( ewtab + _mm_extract_epi32(ewitab,0) +2);
667 ewtabFn = _mm_setzero_pd();
668 GMX_MM_TRANSPOSE2_PD(ewtabV,ewtabFn);
669 felec = _mm_macc_pd(eweps,ewtabD,ewtabF);
670 velec = _mm_nmacc_pd(_mm_mul_pd(ewtabhalfspace,eweps) ,_mm_add_pd(ewtabF,felec), ewtabV);
671 velec = _mm_mul_pd(qq20,_mm_sub_pd(_mm_sub_pd(rinv20,sh_ewald),velec));
672 felec = _mm_mul_pd(_mm_mul_pd(qq20,rinv20),_mm_sub_pd(rinvsq20,felec));
674 cutoff_mask = _mm_cmplt_pd(rsq20,rcutoff2);
676 /* Update potential sum for this i atom from the interaction with this j atom. */
677 velec = _mm_and_pd(velec,cutoff_mask);
678 velec = _mm_unpacklo_pd(velec,_mm_setzero_pd());
679 velecsum = _mm_add_pd(velecsum,velec);
683 fscal = _mm_and_pd(fscal,cutoff_mask);
685 fscal = _mm_unpacklo_pd(fscal,_mm_setzero_pd());
687 /* Update vectorial force */
688 fix2 = _mm_macc_pd(dx20,fscal,fix2);
689 fiy2 = _mm_macc_pd(dy20,fscal,fiy2);
690 fiz2 = _mm_macc_pd(dz20,fscal,fiz2);
692 fjx0 = _mm_macc_pd(dx20,fscal,fjx0);
693 fjy0 = _mm_macc_pd(dy20,fscal,fjy0);
694 fjz0 = _mm_macc_pd(dz20,fscal,fjz0);
698 /**************************
699 * CALCULATE INTERACTIONS *
700 **************************/
702 if (gmx_mm_any_lt(rsq30,rcutoff2))
705 r30 = _mm_mul_pd(rsq30,rinv30);
707 /* Compute parameters for interactions between i and j atoms */
708 qq30 = _mm_mul_pd(iq3,jq0);
710 /* EWALD ELECTROSTATICS */
712 /* Calculate Ewald table index by multiplying r with scale and truncate to integer */
713 ewrt = _mm_mul_pd(r30,ewtabscale);
714 ewitab = _mm_cvttpd_epi32(ewrt);
716 eweps = _mm_frcz_pd(ewrt);
718 eweps = _mm_sub_pd(ewrt,_mm_round_pd(ewrt, _MM_FROUND_FLOOR));
720 twoeweps = _mm_add_pd(eweps,eweps);
721 ewitab = _mm_slli_epi32(ewitab,2);
722 ewtabF = _mm_load_pd( ewtab + _mm_extract_epi32(ewitab,0) );
723 ewtabD = _mm_setzero_pd();
724 GMX_MM_TRANSPOSE2_PD(ewtabF,ewtabD);
725 ewtabV = _mm_load_sd( ewtab + _mm_extract_epi32(ewitab,0) +2);
726 ewtabFn = _mm_setzero_pd();
727 GMX_MM_TRANSPOSE2_PD(ewtabV,ewtabFn);
728 felec = _mm_macc_pd(eweps,ewtabD,ewtabF);
729 velec = _mm_nmacc_pd(_mm_mul_pd(ewtabhalfspace,eweps) ,_mm_add_pd(ewtabF,felec), ewtabV);
730 velec = _mm_mul_pd(qq30,_mm_sub_pd(_mm_sub_pd(rinv30,sh_ewald),velec));
731 felec = _mm_mul_pd(_mm_mul_pd(qq30,rinv30),_mm_sub_pd(rinvsq30,felec));
733 cutoff_mask = _mm_cmplt_pd(rsq30,rcutoff2);
735 /* Update potential sum for this i atom from the interaction with this j atom. */
736 velec = _mm_and_pd(velec,cutoff_mask);
737 velec = _mm_unpacklo_pd(velec,_mm_setzero_pd());
738 velecsum = _mm_add_pd(velecsum,velec);
742 fscal = _mm_and_pd(fscal,cutoff_mask);
744 fscal = _mm_unpacklo_pd(fscal,_mm_setzero_pd());
746 /* Update vectorial force */
747 fix3 = _mm_macc_pd(dx30,fscal,fix3);
748 fiy3 = _mm_macc_pd(dy30,fscal,fiy3);
749 fiz3 = _mm_macc_pd(dz30,fscal,fiz3);
751 fjx0 = _mm_macc_pd(dx30,fscal,fjx0);
752 fjy0 = _mm_macc_pd(dy30,fscal,fjy0);
753 fjz0 = _mm_macc_pd(dz30,fscal,fjz0);
757 gmx_mm_decrement_1rvec_1ptr_swizzle_pd(f+j_coord_offsetA,fjx0,fjy0,fjz0);
759 /* Inner loop uses 208 flops */
762 /* End of innermost loop */
764 gmx_mm_update_iforce_4atom_swizzle_pd(fix0,fiy0,fiz0,fix1,fiy1,fiz1,fix2,fiy2,fiz2,fix3,fiy3,fiz3,
765 f+i_coord_offset,fshift+i_shift_offset);
768 /* Update potential energies */
769 gmx_mm_update_1pot_pd(velecsum,kernel_data->energygrp_elec+ggid);
770 gmx_mm_update_1pot_pd(vvdwsum,kernel_data->energygrp_vdw+ggid);
772 /* Increment number of inner iterations */
773 inneriter += j_index_end - j_index_start;
775 /* Outer loop uses 26 flops */
778 /* Increment number of outer iterations */
781 /* Update outer/inner flops */
783 inc_nrnb(nrnb,eNR_NBKERNEL_ELEC_VDW_W4_VF,outeriter*26 + inneriter*208);
786 * Gromacs nonbonded kernel: nb_kernel_ElecEwSh_VdwLJEwSh_GeomW4P1_F_avx_128_fma_double
787 * Electrostatics interaction: Ewald
788 * VdW interaction: LJEwald
789 * Geometry: Water4-Particle
790 * Calculate force/pot: Force
793 nb_kernel_ElecEwSh_VdwLJEwSh_GeomW4P1_F_avx_128_fma_double
794 (t_nblist * gmx_restrict nlist,
795 rvec * gmx_restrict xx,
796 rvec * gmx_restrict ff,
797 t_forcerec * gmx_restrict fr,
798 t_mdatoms * gmx_restrict mdatoms,
799 nb_kernel_data_t gmx_unused * gmx_restrict kernel_data,
800 t_nrnb * gmx_restrict nrnb)
802 /* Suffixes 0,1,2,3 refer to particle indices for waters in the inner or outer loop, or
803 * just 0 for non-waters.
804 * Suffixes A,B refer to j loop unrolling done with SSE double precision, e.g. for the two different
805 * jnr indices corresponding to data put in the four positions in the SIMD register.
807 int i_shift_offset,i_coord_offset,outeriter,inneriter;
808 int j_index_start,j_index_end,jidx,nri,inr,ggid,iidx;
810 int j_coord_offsetA,j_coord_offsetB;
811 int *iinr,*jindex,*jjnr,*shiftidx,*gid;
813 real *shiftvec,*fshift,*x,*f;
814 __m128d tx,ty,tz,fscal,rcutoff,rcutoff2,jidxall;
816 __m128d ix0,iy0,iz0,fix0,fiy0,fiz0,iq0,isai0;
818 __m128d ix1,iy1,iz1,fix1,fiy1,fiz1,iq1,isai1;
820 __m128d ix2,iy2,iz2,fix2,fiy2,fiz2,iq2,isai2;
822 __m128d ix3,iy3,iz3,fix3,fiy3,fiz3,iq3,isai3;
823 int vdwjidx0A,vdwjidx0B;
824 __m128d jx0,jy0,jz0,fjx0,fjy0,fjz0,jq0,isaj0;
825 __m128d dx00,dy00,dz00,rsq00,rinv00,rinvsq00,r00,qq00,c6_00,c12_00;
826 __m128d dx10,dy10,dz10,rsq10,rinv10,rinvsq10,r10,qq10,c6_10,c12_10;
827 __m128d dx20,dy20,dz20,rsq20,rinv20,rinvsq20,r20,qq20,c6_20,c12_20;
828 __m128d dx30,dy30,dz30,rsq30,rinv30,rinvsq30,r30,qq30,c6_30,c12_30;
829 __m128d velec,felec,velecsum,facel,crf,krf,krf2;
832 __m128d rinvsix,rvdw,vvdw,vvdw6,vvdw12,fvdw,fvdw6,fvdw12,vvdwsum,sh_vdw_invrcut6;
835 __m128d one_sixth = _mm_set1_pd(1.0/6.0);
836 __m128d one_twelfth = _mm_set1_pd(1.0/12.0);
842 __m128d ewclj,ewclj2,ewclj6,ewcljrsq,poly,exponent,f6A,f6B,sh_lj_ewald;
843 __m128d one_half = _mm_set1_pd(0.5);
844 __m128d minus_one = _mm_set1_pd(-1.0);
846 __m128d ewtabscale,eweps,twoeweps,sh_ewald,ewrt,ewtabhalfspace,ewtabF,ewtabFn,ewtabD,ewtabV;
848 __m128d dummy_mask,cutoff_mask;
849 __m128d signbit = gmx_mm_castsi128_pd( _mm_set_epi32(0x80000000,0x00000000,0x80000000,0x00000000) );
850 __m128d one = _mm_set1_pd(1.0);
851 __m128d two = _mm_set1_pd(2.0);
857 jindex = nlist->jindex;
859 shiftidx = nlist->shift;
861 shiftvec = fr->shift_vec[0];
862 fshift = fr->fshift[0];
863 facel = _mm_set1_pd(fr->epsfac);
864 charge = mdatoms->chargeA;
865 nvdwtype = fr->ntype;
867 vdwtype = mdatoms->typeA;
868 vdwgridparam = fr->ljpme_c6grid;
869 sh_lj_ewald = _mm_set1_pd(fr->ic->sh_lj_ewald);
870 ewclj = _mm_set1_pd(fr->ewaldcoeff_lj);
871 ewclj2 = _mm_mul_pd(minus_one,_mm_mul_pd(ewclj,ewclj));
873 sh_ewald = _mm_set1_pd(fr->ic->sh_ewald);
874 ewtab = fr->ic->tabq_coul_F;
875 ewtabscale = _mm_set1_pd(fr->ic->tabq_scale);
876 ewtabhalfspace = _mm_set1_pd(0.5/fr->ic->tabq_scale);
878 /* Setup water-specific parameters */
879 inr = nlist->iinr[0];
880 iq1 = _mm_mul_pd(facel,_mm_set1_pd(charge[inr+1]));
881 iq2 = _mm_mul_pd(facel,_mm_set1_pd(charge[inr+2]));
882 iq3 = _mm_mul_pd(facel,_mm_set1_pd(charge[inr+3]));
883 vdwioffset0 = 2*nvdwtype*vdwtype[inr+0];
885 /* When we use explicit cutoffs the value must be identical for elec and VdW, so use elec as an arbitrary choice */
886 rcutoff_scalar = fr->rcoulomb;
887 rcutoff = _mm_set1_pd(rcutoff_scalar);
888 rcutoff2 = _mm_mul_pd(rcutoff,rcutoff);
890 sh_vdw_invrcut6 = _mm_set1_pd(fr->ic->sh_invrc6);
891 rvdw = _mm_set1_pd(fr->rvdw);
893 /* Avoid stupid compiler warnings */
901 /* Start outer loop over neighborlists */
902 for(iidx=0; iidx<nri; iidx++)
904 /* Load shift vector for this list */
905 i_shift_offset = DIM*shiftidx[iidx];
907 /* Load limits for loop over neighbors */
908 j_index_start = jindex[iidx];
909 j_index_end = jindex[iidx+1];
911 /* Get outer coordinate index */
913 i_coord_offset = DIM*inr;
915 /* Load i particle coords and add shift vector */
916 gmx_mm_load_shift_and_4rvec_broadcast_pd(shiftvec+i_shift_offset,x+i_coord_offset,
917 &ix0,&iy0,&iz0,&ix1,&iy1,&iz1,&ix2,&iy2,&iz2,&ix3,&iy3,&iz3);
919 fix0 = _mm_setzero_pd();
920 fiy0 = _mm_setzero_pd();
921 fiz0 = _mm_setzero_pd();
922 fix1 = _mm_setzero_pd();
923 fiy1 = _mm_setzero_pd();
924 fiz1 = _mm_setzero_pd();
925 fix2 = _mm_setzero_pd();
926 fiy2 = _mm_setzero_pd();
927 fiz2 = _mm_setzero_pd();
928 fix3 = _mm_setzero_pd();
929 fiy3 = _mm_setzero_pd();
930 fiz3 = _mm_setzero_pd();
932 /* Start inner kernel loop */
933 for(jidx=j_index_start; jidx<j_index_end-1; jidx+=2)
936 /* Get j neighbor index, and coordinate index */
939 j_coord_offsetA = DIM*jnrA;
940 j_coord_offsetB = DIM*jnrB;
942 /* load j atom coordinates */
943 gmx_mm_load_1rvec_2ptr_swizzle_pd(x+j_coord_offsetA,x+j_coord_offsetB,
946 /* Calculate displacement vector */
947 dx00 = _mm_sub_pd(ix0,jx0);
948 dy00 = _mm_sub_pd(iy0,jy0);
949 dz00 = _mm_sub_pd(iz0,jz0);
950 dx10 = _mm_sub_pd(ix1,jx0);
951 dy10 = _mm_sub_pd(iy1,jy0);
952 dz10 = _mm_sub_pd(iz1,jz0);
953 dx20 = _mm_sub_pd(ix2,jx0);
954 dy20 = _mm_sub_pd(iy2,jy0);
955 dz20 = _mm_sub_pd(iz2,jz0);
956 dx30 = _mm_sub_pd(ix3,jx0);
957 dy30 = _mm_sub_pd(iy3,jy0);
958 dz30 = _mm_sub_pd(iz3,jz0);
960 /* Calculate squared distance and things based on it */
961 rsq00 = gmx_mm_calc_rsq_pd(dx00,dy00,dz00);
962 rsq10 = gmx_mm_calc_rsq_pd(dx10,dy10,dz10);
963 rsq20 = gmx_mm_calc_rsq_pd(dx20,dy20,dz20);
964 rsq30 = gmx_mm_calc_rsq_pd(dx30,dy30,dz30);
966 rinv00 = gmx_mm_invsqrt_pd(rsq00);
967 rinv10 = gmx_mm_invsqrt_pd(rsq10);
968 rinv20 = gmx_mm_invsqrt_pd(rsq20);
969 rinv30 = gmx_mm_invsqrt_pd(rsq30);
971 rinvsq00 = _mm_mul_pd(rinv00,rinv00);
972 rinvsq10 = _mm_mul_pd(rinv10,rinv10);
973 rinvsq20 = _mm_mul_pd(rinv20,rinv20);
974 rinvsq30 = _mm_mul_pd(rinv30,rinv30);
976 /* Load parameters for j particles */
977 jq0 = gmx_mm_load_2real_swizzle_pd(charge+jnrA+0,charge+jnrB+0);
978 vdwjidx0A = 2*vdwtype[jnrA+0];
979 vdwjidx0B = 2*vdwtype[jnrB+0];
981 fjx0 = _mm_setzero_pd();
982 fjy0 = _mm_setzero_pd();
983 fjz0 = _mm_setzero_pd();
985 /**************************
986 * CALCULATE INTERACTIONS *
987 **************************/
989 if (gmx_mm_any_lt(rsq00,rcutoff2))
992 r00 = _mm_mul_pd(rsq00,rinv00);
994 /* Compute parameters for interactions between i and j atoms */
995 gmx_mm_load_2pair_swizzle_pd(vdwparam+vdwioffset0+vdwjidx0A,
996 vdwparam+vdwioffset0+vdwjidx0B,&c6_00,&c12_00);
997 c6grid_00 = gmx_mm_load_2real_swizzle_pd(vdwgridparam+vdwioffset0+vdwjidx0A,
998 vdwgridparam+vdwioffset0+vdwjidx0B);
1000 /* Analytical LJ-PME */
1001 rinvsix = _mm_mul_pd(_mm_mul_pd(rinvsq00,rinvsq00),rinvsq00);
1002 ewcljrsq = _mm_mul_pd(ewclj2,rsq00);
1003 ewclj6 = _mm_mul_pd(ewclj2,_mm_mul_pd(ewclj2,ewclj2));
1004 exponent = gmx_simd_exp_d(ewcljrsq);
1005 /* poly = exp(-(beta*r)^2) * (1 + (beta*r)^2 + (beta*r)^4 /2) */
1006 poly = _mm_mul_pd(exponent,_mm_macc_pd(_mm_mul_pd(ewcljrsq,ewcljrsq),one_half,_mm_sub_pd(one,ewcljrsq)));
1007 /* f6A = 6 * C6grid * (1 - poly) */
1008 f6A = _mm_mul_pd(c6grid_00,_mm_sub_pd(one,poly));
1009 /* f6B = C6grid * exponent * beta^6 */
1010 f6B = _mm_mul_pd(_mm_mul_pd(c6grid_00,one_sixth),_mm_mul_pd(exponent,ewclj6));
1011 /* fvdw = 12*C12/r13 - ((6*C6 - f6A)/r6 + f6B)/r */
1012 fvdw = _mm_mul_pd(_mm_macc_pd(_mm_msub_pd(c12_00,rinvsix,_mm_sub_pd(c6_00,f6A)),rinvsix,f6B),rinvsq00);
1014 cutoff_mask = _mm_cmplt_pd(rsq00,rcutoff2);
1018 fscal = _mm_and_pd(fscal,cutoff_mask);
1020 /* Update vectorial force */
1021 fix0 = _mm_macc_pd(dx00,fscal,fix0);
1022 fiy0 = _mm_macc_pd(dy00,fscal,fiy0);
1023 fiz0 = _mm_macc_pd(dz00,fscal,fiz0);
1025 fjx0 = _mm_macc_pd(dx00,fscal,fjx0);
1026 fjy0 = _mm_macc_pd(dy00,fscal,fjy0);
1027 fjz0 = _mm_macc_pd(dz00,fscal,fjz0);
1031 /**************************
1032 * CALCULATE INTERACTIONS *
1033 **************************/
1035 if (gmx_mm_any_lt(rsq10,rcutoff2))
1038 r10 = _mm_mul_pd(rsq10,rinv10);
1040 /* Compute parameters for interactions between i and j atoms */
1041 qq10 = _mm_mul_pd(iq1,jq0);
1043 /* EWALD ELECTROSTATICS */
1045 /* Calculate Ewald table index by multiplying r with scale and truncate to integer */
1046 ewrt = _mm_mul_pd(r10,ewtabscale);
1047 ewitab = _mm_cvttpd_epi32(ewrt);
1049 eweps = _mm_frcz_pd(ewrt);
1051 eweps = _mm_sub_pd(ewrt,_mm_round_pd(ewrt, _MM_FROUND_FLOOR));
1053 twoeweps = _mm_add_pd(eweps,eweps);
1054 gmx_mm_load_2pair_swizzle_pd(ewtab+_mm_extract_epi32(ewitab,0),ewtab+_mm_extract_epi32(ewitab,1),
1056 felec = _mm_macc_pd(eweps,ewtabFn,_mm_mul_pd( _mm_sub_pd(one,eweps),ewtabF));
1057 felec = _mm_mul_pd(_mm_mul_pd(qq10,rinv10),_mm_sub_pd(rinvsq10,felec));
1059 cutoff_mask = _mm_cmplt_pd(rsq10,rcutoff2);
1063 fscal = _mm_and_pd(fscal,cutoff_mask);
1065 /* Update vectorial force */
1066 fix1 = _mm_macc_pd(dx10,fscal,fix1);
1067 fiy1 = _mm_macc_pd(dy10,fscal,fiy1);
1068 fiz1 = _mm_macc_pd(dz10,fscal,fiz1);
1070 fjx0 = _mm_macc_pd(dx10,fscal,fjx0);
1071 fjy0 = _mm_macc_pd(dy10,fscal,fjy0);
1072 fjz0 = _mm_macc_pd(dz10,fscal,fjz0);
1076 /**************************
1077 * CALCULATE INTERACTIONS *
1078 **************************/
1080 if (gmx_mm_any_lt(rsq20,rcutoff2))
1083 r20 = _mm_mul_pd(rsq20,rinv20);
1085 /* Compute parameters for interactions between i and j atoms */
1086 qq20 = _mm_mul_pd(iq2,jq0);
1088 /* EWALD ELECTROSTATICS */
1090 /* Calculate Ewald table index by multiplying r with scale and truncate to integer */
1091 ewrt = _mm_mul_pd(r20,ewtabscale);
1092 ewitab = _mm_cvttpd_epi32(ewrt);
1094 eweps = _mm_frcz_pd(ewrt);
1096 eweps = _mm_sub_pd(ewrt,_mm_round_pd(ewrt, _MM_FROUND_FLOOR));
1098 twoeweps = _mm_add_pd(eweps,eweps);
1099 gmx_mm_load_2pair_swizzle_pd(ewtab+_mm_extract_epi32(ewitab,0),ewtab+_mm_extract_epi32(ewitab,1),
1101 felec = _mm_macc_pd(eweps,ewtabFn,_mm_mul_pd( _mm_sub_pd(one,eweps),ewtabF));
1102 felec = _mm_mul_pd(_mm_mul_pd(qq20,rinv20),_mm_sub_pd(rinvsq20,felec));
1104 cutoff_mask = _mm_cmplt_pd(rsq20,rcutoff2);
1108 fscal = _mm_and_pd(fscal,cutoff_mask);
1110 /* Update vectorial force */
1111 fix2 = _mm_macc_pd(dx20,fscal,fix2);
1112 fiy2 = _mm_macc_pd(dy20,fscal,fiy2);
1113 fiz2 = _mm_macc_pd(dz20,fscal,fiz2);
1115 fjx0 = _mm_macc_pd(dx20,fscal,fjx0);
1116 fjy0 = _mm_macc_pd(dy20,fscal,fjy0);
1117 fjz0 = _mm_macc_pd(dz20,fscal,fjz0);
1121 /**************************
1122 * CALCULATE INTERACTIONS *
1123 **************************/
1125 if (gmx_mm_any_lt(rsq30,rcutoff2))
1128 r30 = _mm_mul_pd(rsq30,rinv30);
1130 /* Compute parameters for interactions between i and j atoms */
1131 qq30 = _mm_mul_pd(iq3,jq0);
1133 /* EWALD ELECTROSTATICS */
1135 /* Calculate Ewald table index by multiplying r with scale and truncate to integer */
1136 ewrt = _mm_mul_pd(r30,ewtabscale);
1137 ewitab = _mm_cvttpd_epi32(ewrt);
1139 eweps = _mm_frcz_pd(ewrt);
1141 eweps = _mm_sub_pd(ewrt,_mm_round_pd(ewrt, _MM_FROUND_FLOOR));
1143 twoeweps = _mm_add_pd(eweps,eweps);
1144 gmx_mm_load_2pair_swizzle_pd(ewtab+_mm_extract_epi32(ewitab,0),ewtab+_mm_extract_epi32(ewitab,1),
1146 felec = _mm_macc_pd(eweps,ewtabFn,_mm_mul_pd( _mm_sub_pd(one,eweps),ewtabF));
1147 felec = _mm_mul_pd(_mm_mul_pd(qq30,rinv30),_mm_sub_pd(rinvsq30,felec));
1149 cutoff_mask = _mm_cmplt_pd(rsq30,rcutoff2);
1153 fscal = _mm_and_pd(fscal,cutoff_mask);
1155 /* Update vectorial force */
1156 fix3 = _mm_macc_pd(dx30,fscal,fix3);
1157 fiy3 = _mm_macc_pd(dy30,fscal,fiy3);
1158 fiz3 = _mm_macc_pd(dz30,fscal,fiz3);
1160 fjx0 = _mm_macc_pd(dx30,fscal,fjx0);
1161 fjy0 = _mm_macc_pd(dy30,fscal,fjy0);
1162 fjz0 = _mm_macc_pd(dz30,fscal,fjz0);
1166 gmx_mm_decrement_1rvec_2ptr_swizzle_pd(f+j_coord_offsetA,f+j_coord_offsetB,fjx0,fjy0,fjz0);
1168 /* Inner loop uses 179 flops */
1171 if(jidx<j_index_end)
1175 j_coord_offsetA = DIM*jnrA;
1177 /* load j atom coordinates */
1178 gmx_mm_load_1rvec_1ptr_swizzle_pd(x+j_coord_offsetA,
1181 /* Calculate displacement vector */
1182 dx00 = _mm_sub_pd(ix0,jx0);
1183 dy00 = _mm_sub_pd(iy0,jy0);
1184 dz00 = _mm_sub_pd(iz0,jz0);
1185 dx10 = _mm_sub_pd(ix1,jx0);
1186 dy10 = _mm_sub_pd(iy1,jy0);
1187 dz10 = _mm_sub_pd(iz1,jz0);
1188 dx20 = _mm_sub_pd(ix2,jx0);
1189 dy20 = _mm_sub_pd(iy2,jy0);
1190 dz20 = _mm_sub_pd(iz2,jz0);
1191 dx30 = _mm_sub_pd(ix3,jx0);
1192 dy30 = _mm_sub_pd(iy3,jy0);
1193 dz30 = _mm_sub_pd(iz3,jz0);
1195 /* Calculate squared distance and things based on it */
1196 rsq00 = gmx_mm_calc_rsq_pd(dx00,dy00,dz00);
1197 rsq10 = gmx_mm_calc_rsq_pd(dx10,dy10,dz10);
1198 rsq20 = gmx_mm_calc_rsq_pd(dx20,dy20,dz20);
1199 rsq30 = gmx_mm_calc_rsq_pd(dx30,dy30,dz30);
1201 rinv00 = gmx_mm_invsqrt_pd(rsq00);
1202 rinv10 = gmx_mm_invsqrt_pd(rsq10);
1203 rinv20 = gmx_mm_invsqrt_pd(rsq20);
1204 rinv30 = gmx_mm_invsqrt_pd(rsq30);
1206 rinvsq00 = _mm_mul_pd(rinv00,rinv00);
1207 rinvsq10 = _mm_mul_pd(rinv10,rinv10);
1208 rinvsq20 = _mm_mul_pd(rinv20,rinv20);
1209 rinvsq30 = _mm_mul_pd(rinv30,rinv30);
1211 /* Load parameters for j particles */
1212 jq0 = _mm_load_sd(charge+jnrA+0);
1213 vdwjidx0A = 2*vdwtype[jnrA+0];
1215 fjx0 = _mm_setzero_pd();
1216 fjy0 = _mm_setzero_pd();
1217 fjz0 = _mm_setzero_pd();
1219 /**************************
1220 * CALCULATE INTERACTIONS *
1221 **************************/
1223 if (gmx_mm_any_lt(rsq00,rcutoff2))
1226 r00 = _mm_mul_pd(rsq00,rinv00);
1228 /* Compute parameters for interactions between i and j atoms */
1229 gmx_mm_load_1pair_swizzle_pd(vdwparam+vdwioffset0+vdwjidx0A,&c6_00,&c12_00);
1230 c6grid_00 = gmx_mm_load_1real_pd(vdwgridparam+vdwioffset0+vdwjidx0A);
1232 /* Analytical LJ-PME */
1233 rinvsix = _mm_mul_pd(_mm_mul_pd(rinvsq00,rinvsq00),rinvsq00);
1234 ewcljrsq = _mm_mul_pd(ewclj2,rsq00);
1235 ewclj6 = _mm_mul_pd(ewclj2,_mm_mul_pd(ewclj2,ewclj2));
1236 exponent = gmx_simd_exp_d(ewcljrsq);
1237 /* poly = exp(-(beta*r)^2) * (1 + (beta*r)^2 + (beta*r)^4 /2) */
1238 poly = _mm_mul_pd(exponent,_mm_macc_pd(_mm_mul_pd(ewcljrsq,ewcljrsq),one_half,_mm_sub_pd(one,ewcljrsq)));
1239 /* f6A = 6 * C6grid * (1 - poly) */
1240 f6A = _mm_mul_pd(c6grid_00,_mm_sub_pd(one,poly));
1241 /* f6B = C6grid * exponent * beta^6 */
1242 f6B = _mm_mul_pd(_mm_mul_pd(c6grid_00,one_sixth),_mm_mul_pd(exponent,ewclj6));
1243 /* fvdw = 12*C12/r13 - ((6*C6 - f6A)/r6 + f6B)/r */
1244 fvdw = _mm_mul_pd(_mm_macc_pd(_mm_msub_pd(c12_00,rinvsix,_mm_sub_pd(c6_00,f6A)),rinvsix,f6B),rinvsq00);
1246 cutoff_mask = _mm_cmplt_pd(rsq00,rcutoff2);
1250 fscal = _mm_and_pd(fscal,cutoff_mask);
1252 fscal = _mm_unpacklo_pd(fscal,_mm_setzero_pd());
1254 /* Update vectorial force */
1255 fix0 = _mm_macc_pd(dx00,fscal,fix0);
1256 fiy0 = _mm_macc_pd(dy00,fscal,fiy0);
1257 fiz0 = _mm_macc_pd(dz00,fscal,fiz0);
1259 fjx0 = _mm_macc_pd(dx00,fscal,fjx0);
1260 fjy0 = _mm_macc_pd(dy00,fscal,fjy0);
1261 fjz0 = _mm_macc_pd(dz00,fscal,fjz0);
1265 /**************************
1266 * CALCULATE INTERACTIONS *
1267 **************************/
1269 if (gmx_mm_any_lt(rsq10,rcutoff2))
1272 r10 = _mm_mul_pd(rsq10,rinv10);
1274 /* Compute parameters for interactions between i and j atoms */
1275 qq10 = _mm_mul_pd(iq1,jq0);
1277 /* EWALD ELECTROSTATICS */
1279 /* Calculate Ewald table index by multiplying r with scale and truncate to integer */
1280 ewrt = _mm_mul_pd(r10,ewtabscale);
1281 ewitab = _mm_cvttpd_epi32(ewrt);
1283 eweps = _mm_frcz_pd(ewrt);
1285 eweps = _mm_sub_pd(ewrt,_mm_round_pd(ewrt, _MM_FROUND_FLOOR));
1287 twoeweps = _mm_add_pd(eweps,eweps);
1288 gmx_mm_load_1pair_swizzle_pd(ewtab+_mm_extract_epi32(ewitab,0),&ewtabF,&ewtabFn);
1289 felec = _mm_macc_pd(eweps,ewtabFn,_mm_mul_pd( _mm_sub_pd(one,eweps),ewtabF));
1290 felec = _mm_mul_pd(_mm_mul_pd(qq10,rinv10),_mm_sub_pd(rinvsq10,felec));
1292 cutoff_mask = _mm_cmplt_pd(rsq10,rcutoff2);
1296 fscal = _mm_and_pd(fscal,cutoff_mask);
1298 fscal = _mm_unpacklo_pd(fscal,_mm_setzero_pd());
1300 /* Update vectorial force */
1301 fix1 = _mm_macc_pd(dx10,fscal,fix1);
1302 fiy1 = _mm_macc_pd(dy10,fscal,fiy1);
1303 fiz1 = _mm_macc_pd(dz10,fscal,fiz1);
1305 fjx0 = _mm_macc_pd(dx10,fscal,fjx0);
1306 fjy0 = _mm_macc_pd(dy10,fscal,fjy0);
1307 fjz0 = _mm_macc_pd(dz10,fscal,fjz0);
1311 /**************************
1312 * CALCULATE INTERACTIONS *
1313 **************************/
1315 if (gmx_mm_any_lt(rsq20,rcutoff2))
1318 r20 = _mm_mul_pd(rsq20,rinv20);
1320 /* Compute parameters for interactions between i and j atoms */
1321 qq20 = _mm_mul_pd(iq2,jq0);
1323 /* EWALD ELECTROSTATICS */
1325 /* Calculate Ewald table index by multiplying r with scale and truncate to integer */
1326 ewrt = _mm_mul_pd(r20,ewtabscale);
1327 ewitab = _mm_cvttpd_epi32(ewrt);
1329 eweps = _mm_frcz_pd(ewrt);
1331 eweps = _mm_sub_pd(ewrt,_mm_round_pd(ewrt, _MM_FROUND_FLOOR));
1333 twoeweps = _mm_add_pd(eweps,eweps);
1334 gmx_mm_load_1pair_swizzle_pd(ewtab+_mm_extract_epi32(ewitab,0),&ewtabF,&ewtabFn);
1335 felec = _mm_macc_pd(eweps,ewtabFn,_mm_mul_pd( _mm_sub_pd(one,eweps),ewtabF));
1336 felec = _mm_mul_pd(_mm_mul_pd(qq20,rinv20),_mm_sub_pd(rinvsq20,felec));
1338 cutoff_mask = _mm_cmplt_pd(rsq20,rcutoff2);
1342 fscal = _mm_and_pd(fscal,cutoff_mask);
1344 fscal = _mm_unpacklo_pd(fscal,_mm_setzero_pd());
1346 /* Update vectorial force */
1347 fix2 = _mm_macc_pd(dx20,fscal,fix2);
1348 fiy2 = _mm_macc_pd(dy20,fscal,fiy2);
1349 fiz2 = _mm_macc_pd(dz20,fscal,fiz2);
1351 fjx0 = _mm_macc_pd(dx20,fscal,fjx0);
1352 fjy0 = _mm_macc_pd(dy20,fscal,fjy0);
1353 fjz0 = _mm_macc_pd(dz20,fscal,fjz0);
1357 /**************************
1358 * CALCULATE INTERACTIONS *
1359 **************************/
1361 if (gmx_mm_any_lt(rsq30,rcutoff2))
1364 r30 = _mm_mul_pd(rsq30,rinv30);
1366 /* Compute parameters for interactions between i and j atoms */
1367 qq30 = _mm_mul_pd(iq3,jq0);
1369 /* EWALD ELECTROSTATICS */
1371 /* Calculate Ewald table index by multiplying r with scale and truncate to integer */
1372 ewrt = _mm_mul_pd(r30,ewtabscale);
1373 ewitab = _mm_cvttpd_epi32(ewrt);
1375 eweps = _mm_frcz_pd(ewrt);
1377 eweps = _mm_sub_pd(ewrt,_mm_round_pd(ewrt, _MM_FROUND_FLOOR));
1379 twoeweps = _mm_add_pd(eweps,eweps);
1380 gmx_mm_load_1pair_swizzle_pd(ewtab+_mm_extract_epi32(ewitab,0),&ewtabF,&ewtabFn);
1381 felec = _mm_macc_pd(eweps,ewtabFn,_mm_mul_pd( _mm_sub_pd(one,eweps),ewtabF));
1382 felec = _mm_mul_pd(_mm_mul_pd(qq30,rinv30),_mm_sub_pd(rinvsq30,felec));
1384 cutoff_mask = _mm_cmplt_pd(rsq30,rcutoff2);
1388 fscal = _mm_and_pd(fscal,cutoff_mask);
1390 fscal = _mm_unpacklo_pd(fscal,_mm_setzero_pd());
1392 /* Update vectorial force */
1393 fix3 = _mm_macc_pd(dx30,fscal,fix3);
1394 fiy3 = _mm_macc_pd(dy30,fscal,fiy3);
1395 fiz3 = _mm_macc_pd(dz30,fscal,fiz3);
1397 fjx0 = _mm_macc_pd(dx30,fscal,fjx0);
1398 fjy0 = _mm_macc_pd(dy30,fscal,fjy0);
1399 fjz0 = _mm_macc_pd(dz30,fscal,fjz0);
1403 gmx_mm_decrement_1rvec_1ptr_swizzle_pd(f+j_coord_offsetA,fjx0,fjy0,fjz0);
1405 /* Inner loop uses 179 flops */
1408 /* End of innermost loop */
1410 gmx_mm_update_iforce_4atom_swizzle_pd(fix0,fiy0,fiz0,fix1,fiy1,fiz1,fix2,fiy2,fiz2,fix3,fiy3,fiz3,
1411 f+i_coord_offset,fshift+i_shift_offset);
1413 /* Increment number of inner iterations */
1414 inneriter += j_index_end - j_index_start;
1416 /* Outer loop uses 24 flops */
1419 /* Increment number of outer iterations */
1422 /* Update outer/inner flops */
1424 inc_nrnb(nrnb,eNR_NBKERNEL_ELEC_VDW_W4_F,outeriter*24 + inneriter*179);