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36 * Note: this file was generated by the GROMACS avx_128_fma_single kernel generator.
42 #include "../nb_kernel.h"
43 #include "gromacs/legacyheaders/types/simple.h"
44 #include "gromacs/math/vec.h"
45 #include "gromacs/legacyheaders/nrnb.h"
47 #include "gromacs/simd/math_x86_avx_128_fma_single.h"
48 #include "kernelutil_x86_avx_128_fma_single.h"
51 * Gromacs nonbonded kernel: nb_kernel_ElecEw_VdwLJ_GeomW3P1_VF_avx_128_fma_single
52 * Electrostatics interaction: Ewald
53 * VdW interaction: LennardJones
54 * Geometry: Water3-Particle
55 * Calculate force/pot: PotentialAndForce
58 nb_kernel_ElecEw_VdwLJ_GeomW3P1_VF_avx_128_fma_single
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_128, 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 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 __m128 fscal,rcutoff,rcutoff2,jidxall;
84 __m128 ix0,iy0,iz0,fix0,fiy0,fiz0,iq0,isai0;
86 __m128 ix1,iy1,iz1,fix1,fiy1,fiz1,iq1,isai1;
88 __m128 ix2,iy2,iz2,fix2,fiy2,fiz2,iq2,isai2;
89 int vdwjidx0A,vdwjidx0B,vdwjidx0C,vdwjidx0D;
90 __m128 jx0,jy0,jz0,fjx0,fjy0,fjz0,jq0,isaj0;
91 __m128 dx00,dy00,dz00,rsq00,rinv00,rinvsq00,r00,qq00,c6_00,c12_00;
92 __m128 dx10,dy10,dz10,rsq10,rinv10,rinvsq10,r10,qq10,c6_10,c12_10;
93 __m128 dx20,dy20,dz20,rsq20,rinv20,rinvsq20,r20,qq20,c6_20,c12_20;
94 __m128 velec,felec,velecsum,facel,crf,krf,krf2;
97 __m128 rinvsix,rvdw,vvdw,vvdw6,vvdw12,fvdw,fvdw6,fvdw12,vvdwsum,sh_vdw_invrcut6;
100 __m128 one_sixth = _mm_set1_ps(1.0/6.0);
101 __m128 one_twelfth = _mm_set1_ps(1.0/12.0);
103 __m128 ewtabscale,eweps,twoeweps,sh_ewald,ewrt,ewtabhalfspace,ewtabF,ewtabFn,ewtabD,ewtabV;
104 __m128 beta,beta2,beta3,zeta2,pmecorrF,pmecorrV,rinv3;
106 __m128 dummy_mask,cutoff_mask;
107 __m128 signbit = _mm_castsi128_ps( _mm_set1_epi32(0x80000000) );
108 __m128 one = _mm_set1_ps(1.0);
109 __m128 two = _mm_set1_ps(2.0);
115 jindex = nlist->jindex;
117 shiftidx = nlist->shift;
119 shiftvec = fr->shift_vec[0];
120 fshift = fr->fshift[0];
121 facel = _mm_set1_ps(fr->epsfac);
122 charge = mdatoms->chargeA;
123 nvdwtype = fr->ntype;
125 vdwtype = mdatoms->typeA;
127 sh_ewald = _mm_set1_ps(fr->ic->sh_ewald);
128 beta = _mm_set1_ps(fr->ic->ewaldcoeff_q);
129 beta2 = _mm_mul_ps(beta,beta);
130 beta3 = _mm_mul_ps(beta,beta2);
131 ewtab = fr->ic->tabq_coul_FDV0;
132 ewtabscale = _mm_set1_ps(fr->ic->tabq_scale);
133 ewtabhalfspace = _mm_set1_ps(0.5/fr->ic->tabq_scale);
135 /* Setup water-specific parameters */
136 inr = nlist->iinr[0];
137 iq0 = _mm_mul_ps(facel,_mm_set1_ps(charge[inr+0]));
138 iq1 = _mm_mul_ps(facel,_mm_set1_ps(charge[inr+1]));
139 iq2 = _mm_mul_ps(facel,_mm_set1_ps(charge[inr+2]));
140 vdwioffset0 = 2*nvdwtype*vdwtype[inr+0];
142 /* Avoid stupid compiler warnings */
143 jnrA = jnrB = jnrC = jnrD = 0;
152 for(iidx=0;iidx<4*DIM;iidx++)
157 /* Start outer loop over neighborlists */
158 for(iidx=0; iidx<nri; iidx++)
160 /* Load shift vector for this list */
161 i_shift_offset = DIM*shiftidx[iidx];
163 /* Load limits for loop over neighbors */
164 j_index_start = jindex[iidx];
165 j_index_end = jindex[iidx+1];
167 /* Get outer coordinate index */
169 i_coord_offset = DIM*inr;
171 /* Load i particle coords and add shift vector */
172 gmx_mm_load_shift_and_3rvec_broadcast_ps(shiftvec+i_shift_offset,x+i_coord_offset,
173 &ix0,&iy0,&iz0,&ix1,&iy1,&iz1,&ix2,&iy2,&iz2);
175 fix0 = _mm_setzero_ps();
176 fiy0 = _mm_setzero_ps();
177 fiz0 = _mm_setzero_ps();
178 fix1 = _mm_setzero_ps();
179 fiy1 = _mm_setzero_ps();
180 fiz1 = _mm_setzero_ps();
181 fix2 = _mm_setzero_ps();
182 fiy2 = _mm_setzero_ps();
183 fiz2 = _mm_setzero_ps();
185 /* Reset potential sums */
186 velecsum = _mm_setzero_ps();
187 vvdwsum = _mm_setzero_ps();
189 /* Start inner kernel loop */
190 for(jidx=j_index_start; jidx<j_index_end && jjnr[jidx+3]>=0; jidx+=4)
193 /* Get j neighbor index, and coordinate index */
198 j_coord_offsetA = DIM*jnrA;
199 j_coord_offsetB = DIM*jnrB;
200 j_coord_offsetC = DIM*jnrC;
201 j_coord_offsetD = DIM*jnrD;
203 /* load j atom coordinates */
204 gmx_mm_load_1rvec_4ptr_swizzle_ps(x+j_coord_offsetA,x+j_coord_offsetB,
205 x+j_coord_offsetC,x+j_coord_offsetD,
208 /* Calculate displacement vector */
209 dx00 = _mm_sub_ps(ix0,jx0);
210 dy00 = _mm_sub_ps(iy0,jy0);
211 dz00 = _mm_sub_ps(iz0,jz0);
212 dx10 = _mm_sub_ps(ix1,jx0);
213 dy10 = _mm_sub_ps(iy1,jy0);
214 dz10 = _mm_sub_ps(iz1,jz0);
215 dx20 = _mm_sub_ps(ix2,jx0);
216 dy20 = _mm_sub_ps(iy2,jy0);
217 dz20 = _mm_sub_ps(iz2,jz0);
219 /* Calculate squared distance and things based on it */
220 rsq00 = gmx_mm_calc_rsq_ps(dx00,dy00,dz00);
221 rsq10 = gmx_mm_calc_rsq_ps(dx10,dy10,dz10);
222 rsq20 = gmx_mm_calc_rsq_ps(dx20,dy20,dz20);
224 rinv00 = gmx_mm_invsqrt_ps(rsq00);
225 rinv10 = gmx_mm_invsqrt_ps(rsq10);
226 rinv20 = gmx_mm_invsqrt_ps(rsq20);
228 rinvsq00 = _mm_mul_ps(rinv00,rinv00);
229 rinvsq10 = _mm_mul_ps(rinv10,rinv10);
230 rinvsq20 = _mm_mul_ps(rinv20,rinv20);
232 /* Load parameters for j particles */
233 jq0 = gmx_mm_load_4real_swizzle_ps(charge+jnrA+0,charge+jnrB+0,
234 charge+jnrC+0,charge+jnrD+0);
235 vdwjidx0A = 2*vdwtype[jnrA+0];
236 vdwjidx0B = 2*vdwtype[jnrB+0];
237 vdwjidx0C = 2*vdwtype[jnrC+0];
238 vdwjidx0D = 2*vdwtype[jnrD+0];
240 fjx0 = _mm_setzero_ps();
241 fjy0 = _mm_setzero_ps();
242 fjz0 = _mm_setzero_ps();
244 /**************************
245 * CALCULATE INTERACTIONS *
246 **************************/
248 r00 = _mm_mul_ps(rsq00,rinv00);
250 /* Compute parameters for interactions between i and j atoms */
251 qq00 = _mm_mul_ps(iq0,jq0);
252 gmx_mm_load_4pair_swizzle_ps(vdwparam+vdwioffset0+vdwjidx0A,
253 vdwparam+vdwioffset0+vdwjidx0B,
254 vdwparam+vdwioffset0+vdwjidx0C,
255 vdwparam+vdwioffset0+vdwjidx0D,
258 /* EWALD ELECTROSTATICS */
260 /* Analytical PME correction */
261 zeta2 = _mm_mul_ps(beta2,rsq00);
262 rinv3 = _mm_mul_ps(rinvsq00,rinv00);
263 pmecorrF = gmx_mm_pmecorrF_ps(zeta2);
264 felec = _mm_macc_ps(pmecorrF,beta3,rinv3);
265 felec = _mm_mul_ps(qq00,felec);
266 pmecorrV = gmx_mm_pmecorrV_ps(zeta2);
267 velec = _mm_nmacc_ps(pmecorrV,beta,rinv00);
268 velec = _mm_mul_ps(qq00,velec);
270 /* LENNARD-JONES DISPERSION/REPULSION */
272 rinvsix = _mm_mul_ps(_mm_mul_ps(rinvsq00,rinvsq00),rinvsq00);
273 vvdw6 = _mm_mul_ps(c6_00,rinvsix);
274 vvdw12 = _mm_mul_ps(c12_00,_mm_mul_ps(rinvsix,rinvsix));
275 vvdw = _mm_msub_ps(vvdw12,one_twelfth,_mm_mul_ps(vvdw6,one_sixth));
276 fvdw = _mm_mul_ps(_mm_sub_ps(vvdw12,vvdw6),rinvsq00);
278 /* Update potential sum for this i atom from the interaction with this j atom. */
279 velecsum = _mm_add_ps(velecsum,velec);
280 vvdwsum = _mm_add_ps(vvdwsum,vvdw);
282 fscal = _mm_add_ps(felec,fvdw);
284 /* Update vectorial force */
285 fix0 = _mm_macc_ps(dx00,fscal,fix0);
286 fiy0 = _mm_macc_ps(dy00,fscal,fiy0);
287 fiz0 = _mm_macc_ps(dz00,fscal,fiz0);
289 fjx0 = _mm_macc_ps(dx00,fscal,fjx0);
290 fjy0 = _mm_macc_ps(dy00,fscal,fjy0);
291 fjz0 = _mm_macc_ps(dz00,fscal,fjz0);
293 /**************************
294 * CALCULATE INTERACTIONS *
295 **************************/
297 r10 = _mm_mul_ps(rsq10,rinv10);
299 /* Compute parameters for interactions between i and j atoms */
300 qq10 = _mm_mul_ps(iq1,jq0);
302 /* EWALD ELECTROSTATICS */
304 /* Analytical PME correction */
305 zeta2 = _mm_mul_ps(beta2,rsq10);
306 rinv3 = _mm_mul_ps(rinvsq10,rinv10);
307 pmecorrF = gmx_mm_pmecorrF_ps(zeta2);
308 felec = _mm_macc_ps(pmecorrF,beta3,rinv3);
309 felec = _mm_mul_ps(qq10,felec);
310 pmecorrV = gmx_mm_pmecorrV_ps(zeta2);
311 velec = _mm_nmacc_ps(pmecorrV,beta,rinv10);
312 velec = _mm_mul_ps(qq10,velec);
314 /* Update potential sum for this i atom from the interaction with this j atom. */
315 velecsum = _mm_add_ps(velecsum,velec);
319 /* Update vectorial force */
320 fix1 = _mm_macc_ps(dx10,fscal,fix1);
321 fiy1 = _mm_macc_ps(dy10,fscal,fiy1);
322 fiz1 = _mm_macc_ps(dz10,fscal,fiz1);
324 fjx0 = _mm_macc_ps(dx10,fscal,fjx0);
325 fjy0 = _mm_macc_ps(dy10,fscal,fjy0);
326 fjz0 = _mm_macc_ps(dz10,fscal,fjz0);
328 /**************************
329 * CALCULATE INTERACTIONS *
330 **************************/
332 r20 = _mm_mul_ps(rsq20,rinv20);
334 /* Compute parameters for interactions between i and j atoms */
335 qq20 = _mm_mul_ps(iq2,jq0);
337 /* EWALD ELECTROSTATICS */
339 /* Analytical PME correction */
340 zeta2 = _mm_mul_ps(beta2,rsq20);
341 rinv3 = _mm_mul_ps(rinvsq20,rinv20);
342 pmecorrF = gmx_mm_pmecorrF_ps(zeta2);
343 felec = _mm_macc_ps(pmecorrF,beta3,rinv3);
344 felec = _mm_mul_ps(qq20,felec);
345 pmecorrV = gmx_mm_pmecorrV_ps(zeta2);
346 velec = _mm_nmacc_ps(pmecorrV,beta,rinv20);
347 velec = _mm_mul_ps(qq20,velec);
349 /* Update potential sum for this i atom from the interaction with this j atom. */
350 velecsum = _mm_add_ps(velecsum,velec);
354 /* Update vectorial force */
355 fix2 = _mm_macc_ps(dx20,fscal,fix2);
356 fiy2 = _mm_macc_ps(dy20,fscal,fiy2);
357 fiz2 = _mm_macc_ps(dz20,fscal,fiz2);
359 fjx0 = _mm_macc_ps(dx20,fscal,fjx0);
360 fjy0 = _mm_macc_ps(dy20,fscal,fjy0);
361 fjz0 = _mm_macc_ps(dz20,fscal,fjz0);
363 fjptrA = f+j_coord_offsetA;
364 fjptrB = f+j_coord_offsetB;
365 fjptrC = f+j_coord_offsetC;
366 fjptrD = f+j_coord_offsetD;
368 gmx_mm_decrement_1rvec_4ptr_swizzle_ps(fjptrA,fjptrB,fjptrC,fjptrD,fjx0,fjy0,fjz0);
370 /* Inner loop uses 99 flops */
376 /* Get j neighbor index, and coordinate index */
377 jnrlistA = jjnr[jidx];
378 jnrlistB = jjnr[jidx+1];
379 jnrlistC = jjnr[jidx+2];
380 jnrlistD = jjnr[jidx+3];
381 /* Sign of each element will be negative for non-real atoms.
382 * This mask will be 0xFFFFFFFF for dummy entries and 0x0 for real ones,
383 * so use it as val = _mm_andnot_ps(mask,val) to clear dummy entries.
385 dummy_mask = gmx_mm_castsi128_ps(_mm_cmplt_epi32(_mm_loadu_si128((const __m128i *)(jjnr+jidx)),_mm_setzero_si128()));
386 jnrA = (jnrlistA>=0) ? jnrlistA : 0;
387 jnrB = (jnrlistB>=0) ? jnrlistB : 0;
388 jnrC = (jnrlistC>=0) ? jnrlistC : 0;
389 jnrD = (jnrlistD>=0) ? jnrlistD : 0;
390 j_coord_offsetA = DIM*jnrA;
391 j_coord_offsetB = DIM*jnrB;
392 j_coord_offsetC = DIM*jnrC;
393 j_coord_offsetD = DIM*jnrD;
395 /* load j atom coordinates */
396 gmx_mm_load_1rvec_4ptr_swizzle_ps(x+j_coord_offsetA,x+j_coord_offsetB,
397 x+j_coord_offsetC,x+j_coord_offsetD,
400 /* Calculate displacement vector */
401 dx00 = _mm_sub_ps(ix0,jx0);
402 dy00 = _mm_sub_ps(iy0,jy0);
403 dz00 = _mm_sub_ps(iz0,jz0);
404 dx10 = _mm_sub_ps(ix1,jx0);
405 dy10 = _mm_sub_ps(iy1,jy0);
406 dz10 = _mm_sub_ps(iz1,jz0);
407 dx20 = _mm_sub_ps(ix2,jx0);
408 dy20 = _mm_sub_ps(iy2,jy0);
409 dz20 = _mm_sub_ps(iz2,jz0);
411 /* Calculate squared distance and things based on it */
412 rsq00 = gmx_mm_calc_rsq_ps(dx00,dy00,dz00);
413 rsq10 = gmx_mm_calc_rsq_ps(dx10,dy10,dz10);
414 rsq20 = gmx_mm_calc_rsq_ps(dx20,dy20,dz20);
416 rinv00 = gmx_mm_invsqrt_ps(rsq00);
417 rinv10 = gmx_mm_invsqrt_ps(rsq10);
418 rinv20 = gmx_mm_invsqrt_ps(rsq20);
420 rinvsq00 = _mm_mul_ps(rinv00,rinv00);
421 rinvsq10 = _mm_mul_ps(rinv10,rinv10);
422 rinvsq20 = _mm_mul_ps(rinv20,rinv20);
424 /* Load parameters for j particles */
425 jq0 = gmx_mm_load_4real_swizzle_ps(charge+jnrA+0,charge+jnrB+0,
426 charge+jnrC+0,charge+jnrD+0);
427 vdwjidx0A = 2*vdwtype[jnrA+0];
428 vdwjidx0B = 2*vdwtype[jnrB+0];
429 vdwjidx0C = 2*vdwtype[jnrC+0];
430 vdwjidx0D = 2*vdwtype[jnrD+0];
432 fjx0 = _mm_setzero_ps();
433 fjy0 = _mm_setzero_ps();
434 fjz0 = _mm_setzero_ps();
436 /**************************
437 * CALCULATE INTERACTIONS *
438 **************************/
440 r00 = _mm_mul_ps(rsq00,rinv00);
441 r00 = _mm_andnot_ps(dummy_mask,r00);
443 /* Compute parameters for interactions between i and j atoms */
444 qq00 = _mm_mul_ps(iq0,jq0);
445 gmx_mm_load_4pair_swizzle_ps(vdwparam+vdwioffset0+vdwjidx0A,
446 vdwparam+vdwioffset0+vdwjidx0B,
447 vdwparam+vdwioffset0+vdwjidx0C,
448 vdwparam+vdwioffset0+vdwjidx0D,
451 /* EWALD ELECTROSTATICS */
453 /* Analytical PME correction */
454 zeta2 = _mm_mul_ps(beta2,rsq00);
455 rinv3 = _mm_mul_ps(rinvsq00,rinv00);
456 pmecorrF = gmx_mm_pmecorrF_ps(zeta2);
457 felec = _mm_macc_ps(pmecorrF,beta3,rinv3);
458 felec = _mm_mul_ps(qq00,felec);
459 pmecorrV = gmx_mm_pmecorrV_ps(zeta2);
460 velec = _mm_nmacc_ps(pmecorrV,beta,rinv00);
461 velec = _mm_mul_ps(qq00,velec);
463 /* LENNARD-JONES DISPERSION/REPULSION */
465 rinvsix = _mm_mul_ps(_mm_mul_ps(rinvsq00,rinvsq00),rinvsq00);
466 vvdw6 = _mm_mul_ps(c6_00,rinvsix);
467 vvdw12 = _mm_mul_ps(c12_00,_mm_mul_ps(rinvsix,rinvsix));
468 vvdw = _mm_msub_ps(vvdw12,one_twelfth,_mm_mul_ps(vvdw6,one_sixth));
469 fvdw = _mm_mul_ps(_mm_sub_ps(vvdw12,vvdw6),rinvsq00);
471 /* Update potential sum for this i atom from the interaction with this j atom. */
472 velec = _mm_andnot_ps(dummy_mask,velec);
473 velecsum = _mm_add_ps(velecsum,velec);
474 vvdw = _mm_andnot_ps(dummy_mask,vvdw);
475 vvdwsum = _mm_add_ps(vvdwsum,vvdw);
477 fscal = _mm_add_ps(felec,fvdw);
479 fscal = _mm_andnot_ps(dummy_mask,fscal);
481 /* Update vectorial force */
482 fix0 = _mm_macc_ps(dx00,fscal,fix0);
483 fiy0 = _mm_macc_ps(dy00,fscal,fiy0);
484 fiz0 = _mm_macc_ps(dz00,fscal,fiz0);
486 fjx0 = _mm_macc_ps(dx00,fscal,fjx0);
487 fjy0 = _mm_macc_ps(dy00,fscal,fjy0);
488 fjz0 = _mm_macc_ps(dz00,fscal,fjz0);
490 /**************************
491 * CALCULATE INTERACTIONS *
492 **************************/
494 r10 = _mm_mul_ps(rsq10,rinv10);
495 r10 = _mm_andnot_ps(dummy_mask,r10);
497 /* Compute parameters for interactions between i and j atoms */
498 qq10 = _mm_mul_ps(iq1,jq0);
500 /* EWALD ELECTROSTATICS */
502 /* Analytical PME correction */
503 zeta2 = _mm_mul_ps(beta2,rsq10);
504 rinv3 = _mm_mul_ps(rinvsq10,rinv10);
505 pmecorrF = gmx_mm_pmecorrF_ps(zeta2);
506 felec = _mm_macc_ps(pmecorrF,beta3,rinv3);
507 felec = _mm_mul_ps(qq10,felec);
508 pmecorrV = gmx_mm_pmecorrV_ps(zeta2);
509 velec = _mm_nmacc_ps(pmecorrV,beta,rinv10);
510 velec = _mm_mul_ps(qq10,velec);
512 /* Update potential sum for this i atom from the interaction with this j atom. */
513 velec = _mm_andnot_ps(dummy_mask,velec);
514 velecsum = _mm_add_ps(velecsum,velec);
518 fscal = _mm_andnot_ps(dummy_mask,fscal);
520 /* Update vectorial force */
521 fix1 = _mm_macc_ps(dx10,fscal,fix1);
522 fiy1 = _mm_macc_ps(dy10,fscal,fiy1);
523 fiz1 = _mm_macc_ps(dz10,fscal,fiz1);
525 fjx0 = _mm_macc_ps(dx10,fscal,fjx0);
526 fjy0 = _mm_macc_ps(dy10,fscal,fjy0);
527 fjz0 = _mm_macc_ps(dz10,fscal,fjz0);
529 /**************************
530 * CALCULATE INTERACTIONS *
531 **************************/
533 r20 = _mm_mul_ps(rsq20,rinv20);
534 r20 = _mm_andnot_ps(dummy_mask,r20);
536 /* Compute parameters for interactions between i and j atoms */
537 qq20 = _mm_mul_ps(iq2,jq0);
539 /* EWALD ELECTROSTATICS */
541 /* Analytical PME correction */
542 zeta2 = _mm_mul_ps(beta2,rsq20);
543 rinv3 = _mm_mul_ps(rinvsq20,rinv20);
544 pmecorrF = gmx_mm_pmecorrF_ps(zeta2);
545 felec = _mm_macc_ps(pmecorrF,beta3,rinv3);
546 felec = _mm_mul_ps(qq20,felec);
547 pmecorrV = gmx_mm_pmecorrV_ps(zeta2);
548 velec = _mm_nmacc_ps(pmecorrV,beta,rinv20);
549 velec = _mm_mul_ps(qq20,velec);
551 /* Update potential sum for this i atom from the interaction with this j atom. */
552 velec = _mm_andnot_ps(dummy_mask,velec);
553 velecsum = _mm_add_ps(velecsum,velec);
557 fscal = _mm_andnot_ps(dummy_mask,fscal);
559 /* Update vectorial force */
560 fix2 = _mm_macc_ps(dx20,fscal,fix2);
561 fiy2 = _mm_macc_ps(dy20,fscal,fiy2);
562 fiz2 = _mm_macc_ps(dz20,fscal,fiz2);
564 fjx0 = _mm_macc_ps(dx20,fscal,fjx0);
565 fjy0 = _mm_macc_ps(dy20,fscal,fjy0);
566 fjz0 = _mm_macc_ps(dz20,fscal,fjz0);
568 fjptrA = (jnrlistA>=0) ? f+j_coord_offsetA : scratch;
569 fjptrB = (jnrlistB>=0) ? f+j_coord_offsetB : scratch;
570 fjptrC = (jnrlistC>=0) ? f+j_coord_offsetC : scratch;
571 fjptrD = (jnrlistD>=0) ? f+j_coord_offsetD : scratch;
573 gmx_mm_decrement_1rvec_4ptr_swizzle_ps(fjptrA,fjptrB,fjptrC,fjptrD,fjx0,fjy0,fjz0);
575 /* Inner loop uses 102 flops */
578 /* End of innermost loop */
580 gmx_mm_update_iforce_3atom_swizzle_ps(fix0,fiy0,fiz0,fix1,fiy1,fiz1,fix2,fiy2,fiz2,
581 f+i_coord_offset,fshift+i_shift_offset);
584 /* Update potential energies */
585 gmx_mm_update_1pot_ps(velecsum,kernel_data->energygrp_elec+ggid);
586 gmx_mm_update_1pot_ps(vvdwsum,kernel_data->energygrp_vdw+ggid);
588 /* Increment number of inner iterations */
589 inneriter += j_index_end - j_index_start;
591 /* Outer loop uses 20 flops */
594 /* Increment number of outer iterations */
597 /* Update outer/inner flops */
599 inc_nrnb(nrnb,eNR_NBKERNEL_ELEC_VDW_W3_VF,outeriter*20 + inneriter*102);
602 * Gromacs nonbonded kernel: nb_kernel_ElecEw_VdwLJ_GeomW3P1_F_avx_128_fma_single
603 * Electrostatics interaction: Ewald
604 * VdW interaction: LennardJones
605 * Geometry: Water3-Particle
606 * Calculate force/pot: Force
609 nb_kernel_ElecEw_VdwLJ_GeomW3P1_F_avx_128_fma_single
610 (t_nblist * gmx_restrict nlist,
611 rvec * gmx_restrict xx,
612 rvec * gmx_restrict ff,
613 t_forcerec * gmx_restrict fr,
614 t_mdatoms * gmx_restrict mdatoms,
615 nb_kernel_data_t gmx_unused * gmx_restrict kernel_data,
616 t_nrnb * gmx_restrict nrnb)
618 /* Suffixes 0,1,2,3 refer to particle indices for waters in the inner or outer loop, or
619 * just 0 for non-waters.
620 * Suffixes A,B,C,D refer to j loop unrolling done with AVX_128, e.g. for the four different
621 * jnr indices corresponding to data put in the four positions in the SIMD register.
623 int i_shift_offset,i_coord_offset,outeriter,inneriter;
624 int j_index_start,j_index_end,jidx,nri,inr,ggid,iidx;
625 int jnrA,jnrB,jnrC,jnrD;
626 int jnrlistA,jnrlistB,jnrlistC,jnrlistD;
627 int j_coord_offsetA,j_coord_offsetB,j_coord_offsetC,j_coord_offsetD;
628 int *iinr,*jindex,*jjnr,*shiftidx,*gid;
630 real *shiftvec,*fshift,*x,*f;
631 real *fjptrA,*fjptrB,*fjptrC,*fjptrD;
633 __m128 fscal,rcutoff,rcutoff2,jidxall;
635 __m128 ix0,iy0,iz0,fix0,fiy0,fiz0,iq0,isai0;
637 __m128 ix1,iy1,iz1,fix1,fiy1,fiz1,iq1,isai1;
639 __m128 ix2,iy2,iz2,fix2,fiy2,fiz2,iq2,isai2;
640 int vdwjidx0A,vdwjidx0B,vdwjidx0C,vdwjidx0D;
641 __m128 jx0,jy0,jz0,fjx0,fjy0,fjz0,jq0,isaj0;
642 __m128 dx00,dy00,dz00,rsq00,rinv00,rinvsq00,r00,qq00,c6_00,c12_00;
643 __m128 dx10,dy10,dz10,rsq10,rinv10,rinvsq10,r10,qq10,c6_10,c12_10;
644 __m128 dx20,dy20,dz20,rsq20,rinv20,rinvsq20,r20,qq20,c6_20,c12_20;
645 __m128 velec,felec,velecsum,facel,crf,krf,krf2;
648 __m128 rinvsix,rvdw,vvdw,vvdw6,vvdw12,fvdw,fvdw6,fvdw12,vvdwsum,sh_vdw_invrcut6;
651 __m128 one_sixth = _mm_set1_ps(1.0/6.0);
652 __m128 one_twelfth = _mm_set1_ps(1.0/12.0);
654 __m128 ewtabscale,eweps,twoeweps,sh_ewald,ewrt,ewtabhalfspace,ewtabF,ewtabFn,ewtabD,ewtabV;
655 __m128 beta,beta2,beta3,zeta2,pmecorrF,pmecorrV,rinv3;
657 __m128 dummy_mask,cutoff_mask;
658 __m128 signbit = _mm_castsi128_ps( _mm_set1_epi32(0x80000000) );
659 __m128 one = _mm_set1_ps(1.0);
660 __m128 two = _mm_set1_ps(2.0);
666 jindex = nlist->jindex;
668 shiftidx = nlist->shift;
670 shiftvec = fr->shift_vec[0];
671 fshift = fr->fshift[0];
672 facel = _mm_set1_ps(fr->epsfac);
673 charge = mdatoms->chargeA;
674 nvdwtype = fr->ntype;
676 vdwtype = mdatoms->typeA;
678 sh_ewald = _mm_set1_ps(fr->ic->sh_ewald);
679 beta = _mm_set1_ps(fr->ic->ewaldcoeff_q);
680 beta2 = _mm_mul_ps(beta,beta);
681 beta3 = _mm_mul_ps(beta,beta2);
682 ewtab = fr->ic->tabq_coul_F;
683 ewtabscale = _mm_set1_ps(fr->ic->tabq_scale);
684 ewtabhalfspace = _mm_set1_ps(0.5/fr->ic->tabq_scale);
686 /* Setup water-specific parameters */
687 inr = nlist->iinr[0];
688 iq0 = _mm_mul_ps(facel,_mm_set1_ps(charge[inr+0]));
689 iq1 = _mm_mul_ps(facel,_mm_set1_ps(charge[inr+1]));
690 iq2 = _mm_mul_ps(facel,_mm_set1_ps(charge[inr+2]));
691 vdwioffset0 = 2*nvdwtype*vdwtype[inr+0];
693 /* Avoid stupid compiler warnings */
694 jnrA = jnrB = jnrC = jnrD = 0;
703 for(iidx=0;iidx<4*DIM;iidx++)
708 /* Start outer loop over neighborlists */
709 for(iidx=0; iidx<nri; iidx++)
711 /* Load shift vector for this list */
712 i_shift_offset = DIM*shiftidx[iidx];
714 /* Load limits for loop over neighbors */
715 j_index_start = jindex[iidx];
716 j_index_end = jindex[iidx+1];
718 /* Get outer coordinate index */
720 i_coord_offset = DIM*inr;
722 /* Load i particle coords and add shift vector */
723 gmx_mm_load_shift_and_3rvec_broadcast_ps(shiftvec+i_shift_offset,x+i_coord_offset,
724 &ix0,&iy0,&iz0,&ix1,&iy1,&iz1,&ix2,&iy2,&iz2);
726 fix0 = _mm_setzero_ps();
727 fiy0 = _mm_setzero_ps();
728 fiz0 = _mm_setzero_ps();
729 fix1 = _mm_setzero_ps();
730 fiy1 = _mm_setzero_ps();
731 fiz1 = _mm_setzero_ps();
732 fix2 = _mm_setzero_ps();
733 fiy2 = _mm_setzero_ps();
734 fiz2 = _mm_setzero_ps();
736 /* Start inner kernel loop */
737 for(jidx=j_index_start; jidx<j_index_end && jjnr[jidx+3]>=0; jidx+=4)
740 /* Get j neighbor index, and coordinate index */
745 j_coord_offsetA = DIM*jnrA;
746 j_coord_offsetB = DIM*jnrB;
747 j_coord_offsetC = DIM*jnrC;
748 j_coord_offsetD = DIM*jnrD;
750 /* load j atom coordinates */
751 gmx_mm_load_1rvec_4ptr_swizzle_ps(x+j_coord_offsetA,x+j_coord_offsetB,
752 x+j_coord_offsetC,x+j_coord_offsetD,
755 /* Calculate displacement vector */
756 dx00 = _mm_sub_ps(ix0,jx0);
757 dy00 = _mm_sub_ps(iy0,jy0);
758 dz00 = _mm_sub_ps(iz0,jz0);
759 dx10 = _mm_sub_ps(ix1,jx0);
760 dy10 = _mm_sub_ps(iy1,jy0);
761 dz10 = _mm_sub_ps(iz1,jz0);
762 dx20 = _mm_sub_ps(ix2,jx0);
763 dy20 = _mm_sub_ps(iy2,jy0);
764 dz20 = _mm_sub_ps(iz2,jz0);
766 /* Calculate squared distance and things based on it */
767 rsq00 = gmx_mm_calc_rsq_ps(dx00,dy00,dz00);
768 rsq10 = gmx_mm_calc_rsq_ps(dx10,dy10,dz10);
769 rsq20 = gmx_mm_calc_rsq_ps(dx20,dy20,dz20);
771 rinv00 = gmx_mm_invsqrt_ps(rsq00);
772 rinv10 = gmx_mm_invsqrt_ps(rsq10);
773 rinv20 = gmx_mm_invsqrt_ps(rsq20);
775 rinvsq00 = _mm_mul_ps(rinv00,rinv00);
776 rinvsq10 = _mm_mul_ps(rinv10,rinv10);
777 rinvsq20 = _mm_mul_ps(rinv20,rinv20);
779 /* Load parameters for j particles */
780 jq0 = gmx_mm_load_4real_swizzle_ps(charge+jnrA+0,charge+jnrB+0,
781 charge+jnrC+0,charge+jnrD+0);
782 vdwjidx0A = 2*vdwtype[jnrA+0];
783 vdwjidx0B = 2*vdwtype[jnrB+0];
784 vdwjidx0C = 2*vdwtype[jnrC+0];
785 vdwjidx0D = 2*vdwtype[jnrD+0];
787 fjx0 = _mm_setzero_ps();
788 fjy0 = _mm_setzero_ps();
789 fjz0 = _mm_setzero_ps();
791 /**************************
792 * CALCULATE INTERACTIONS *
793 **************************/
795 r00 = _mm_mul_ps(rsq00,rinv00);
797 /* Compute parameters for interactions between i and j atoms */
798 qq00 = _mm_mul_ps(iq0,jq0);
799 gmx_mm_load_4pair_swizzle_ps(vdwparam+vdwioffset0+vdwjidx0A,
800 vdwparam+vdwioffset0+vdwjidx0B,
801 vdwparam+vdwioffset0+vdwjidx0C,
802 vdwparam+vdwioffset0+vdwjidx0D,
805 /* EWALD ELECTROSTATICS */
807 /* Analytical PME correction */
808 zeta2 = _mm_mul_ps(beta2,rsq00);
809 rinv3 = _mm_mul_ps(rinvsq00,rinv00);
810 pmecorrF = gmx_mm_pmecorrF_ps(zeta2);
811 felec = _mm_macc_ps(pmecorrF,beta3,rinv3);
812 felec = _mm_mul_ps(qq00,felec);
814 /* LENNARD-JONES DISPERSION/REPULSION */
816 rinvsix = _mm_mul_ps(_mm_mul_ps(rinvsq00,rinvsq00),rinvsq00);
817 fvdw = _mm_mul_ps(_mm_msub_ps(c12_00,rinvsix,c6_00),_mm_mul_ps(rinvsix,rinvsq00));
819 fscal = _mm_add_ps(felec,fvdw);
821 /* Update vectorial force */
822 fix0 = _mm_macc_ps(dx00,fscal,fix0);
823 fiy0 = _mm_macc_ps(dy00,fscal,fiy0);
824 fiz0 = _mm_macc_ps(dz00,fscal,fiz0);
826 fjx0 = _mm_macc_ps(dx00,fscal,fjx0);
827 fjy0 = _mm_macc_ps(dy00,fscal,fjy0);
828 fjz0 = _mm_macc_ps(dz00,fscal,fjz0);
830 /**************************
831 * CALCULATE INTERACTIONS *
832 **************************/
834 r10 = _mm_mul_ps(rsq10,rinv10);
836 /* Compute parameters for interactions between i and j atoms */
837 qq10 = _mm_mul_ps(iq1,jq0);
839 /* EWALD ELECTROSTATICS */
841 /* Analytical PME correction */
842 zeta2 = _mm_mul_ps(beta2,rsq10);
843 rinv3 = _mm_mul_ps(rinvsq10,rinv10);
844 pmecorrF = gmx_mm_pmecorrF_ps(zeta2);
845 felec = _mm_macc_ps(pmecorrF,beta3,rinv3);
846 felec = _mm_mul_ps(qq10,felec);
850 /* Update vectorial force */
851 fix1 = _mm_macc_ps(dx10,fscal,fix1);
852 fiy1 = _mm_macc_ps(dy10,fscal,fiy1);
853 fiz1 = _mm_macc_ps(dz10,fscal,fiz1);
855 fjx0 = _mm_macc_ps(dx10,fscal,fjx0);
856 fjy0 = _mm_macc_ps(dy10,fscal,fjy0);
857 fjz0 = _mm_macc_ps(dz10,fscal,fjz0);
859 /**************************
860 * CALCULATE INTERACTIONS *
861 **************************/
863 r20 = _mm_mul_ps(rsq20,rinv20);
865 /* Compute parameters for interactions between i and j atoms */
866 qq20 = _mm_mul_ps(iq2,jq0);
868 /* EWALD ELECTROSTATICS */
870 /* Analytical PME correction */
871 zeta2 = _mm_mul_ps(beta2,rsq20);
872 rinv3 = _mm_mul_ps(rinvsq20,rinv20);
873 pmecorrF = gmx_mm_pmecorrF_ps(zeta2);
874 felec = _mm_macc_ps(pmecorrF,beta3,rinv3);
875 felec = _mm_mul_ps(qq20,felec);
879 /* Update vectorial force */
880 fix2 = _mm_macc_ps(dx20,fscal,fix2);
881 fiy2 = _mm_macc_ps(dy20,fscal,fiy2);
882 fiz2 = _mm_macc_ps(dz20,fscal,fiz2);
884 fjx0 = _mm_macc_ps(dx20,fscal,fjx0);
885 fjy0 = _mm_macc_ps(dy20,fscal,fjy0);
886 fjz0 = _mm_macc_ps(dz20,fscal,fjz0);
888 fjptrA = f+j_coord_offsetA;
889 fjptrB = f+j_coord_offsetB;
890 fjptrC = f+j_coord_offsetC;
891 fjptrD = f+j_coord_offsetD;
893 gmx_mm_decrement_1rvec_4ptr_swizzle_ps(fjptrA,fjptrB,fjptrC,fjptrD,fjx0,fjy0,fjz0);
895 /* Inner loop uses 91 flops */
901 /* Get j neighbor index, and coordinate index */
902 jnrlistA = jjnr[jidx];
903 jnrlistB = jjnr[jidx+1];
904 jnrlistC = jjnr[jidx+2];
905 jnrlistD = jjnr[jidx+3];
906 /* Sign of each element will be negative for non-real atoms.
907 * This mask will be 0xFFFFFFFF for dummy entries and 0x0 for real ones,
908 * so use it as val = _mm_andnot_ps(mask,val) to clear dummy entries.
910 dummy_mask = gmx_mm_castsi128_ps(_mm_cmplt_epi32(_mm_loadu_si128((const __m128i *)(jjnr+jidx)),_mm_setzero_si128()));
911 jnrA = (jnrlistA>=0) ? jnrlistA : 0;
912 jnrB = (jnrlistB>=0) ? jnrlistB : 0;
913 jnrC = (jnrlistC>=0) ? jnrlistC : 0;
914 jnrD = (jnrlistD>=0) ? jnrlistD : 0;
915 j_coord_offsetA = DIM*jnrA;
916 j_coord_offsetB = DIM*jnrB;
917 j_coord_offsetC = DIM*jnrC;
918 j_coord_offsetD = DIM*jnrD;
920 /* load j atom coordinates */
921 gmx_mm_load_1rvec_4ptr_swizzle_ps(x+j_coord_offsetA,x+j_coord_offsetB,
922 x+j_coord_offsetC,x+j_coord_offsetD,
925 /* Calculate displacement vector */
926 dx00 = _mm_sub_ps(ix0,jx0);
927 dy00 = _mm_sub_ps(iy0,jy0);
928 dz00 = _mm_sub_ps(iz0,jz0);
929 dx10 = _mm_sub_ps(ix1,jx0);
930 dy10 = _mm_sub_ps(iy1,jy0);
931 dz10 = _mm_sub_ps(iz1,jz0);
932 dx20 = _mm_sub_ps(ix2,jx0);
933 dy20 = _mm_sub_ps(iy2,jy0);
934 dz20 = _mm_sub_ps(iz2,jz0);
936 /* Calculate squared distance and things based on it */
937 rsq00 = gmx_mm_calc_rsq_ps(dx00,dy00,dz00);
938 rsq10 = gmx_mm_calc_rsq_ps(dx10,dy10,dz10);
939 rsq20 = gmx_mm_calc_rsq_ps(dx20,dy20,dz20);
941 rinv00 = gmx_mm_invsqrt_ps(rsq00);
942 rinv10 = gmx_mm_invsqrt_ps(rsq10);
943 rinv20 = gmx_mm_invsqrt_ps(rsq20);
945 rinvsq00 = _mm_mul_ps(rinv00,rinv00);
946 rinvsq10 = _mm_mul_ps(rinv10,rinv10);
947 rinvsq20 = _mm_mul_ps(rinv20,rinv20);
949 /* Load parameters for j particles */
950 jq0 = gmx_mm_load_4real_swizzle_ps(charge+jnrA+0,charge+jnrB+0,
951 charge+jnrC+0,charge+jnrD+0);
952 vdwjidx0A = 2*vdwtype[jnrA+0];
953 vdwjidx0B = 2*vdwtype[jnrB+0];
954 vdwjidx0C = 2*vdwtype[jnrC+0];
955 vdwjidx0D = 2*vdwtype[jnrD+0];
957 fjx0 = _mm_setzero_ps();
958 fjy0 = _mm_setzero_ps();
959 fjz0 = _mm_setzero_ps();
961 /**************************
962 * CALCULATE INTERACTIONS *
963 **************************/
965 r00 = _mm_mul_ps(rsq00,rinv00);
966 r00 = _mm_andnot_ps(dummy_mask,r00);
968 /* Compute parameters for interactions between i and j atoms */
969 qq00 = _mm_mul_ps(iq0,jq0);
970 gmx_mm_load_4pair_swizzle_ps(vdwparam+vdwioffset0+vdwjidx0A,
971 vdwparam+vdwioffset0+vdwjidx0B,
972 vdwparam+vdwioffset0+vdwjidx0C,
973 vdwparam+vdwioffset0+vdwjidx0D,
976 /* EWALD ELECTROSTATICS */
978 /* Analytical PME correction */
979 zeta2 = _mm_mul_ps(beta2,rsq00);
980 rinv3 = _mm_mul_ps(rinvsq00,rinv00);
981 pmecorrF = gmx_mm_pmecorrF_ps(zeta2);
982 felec = _mm_macc_ps(pmecorrF,beta3,rinv3);
983 felec = _mm_mul_ps(qq00,felec);
985 /* LENNARD-JONES DISPERSION/REPULSION */
987 rinvsix = _mm_mul_ps(_mm_mul_ps(rinvsq00,rinvsq00),rinvsq00);
988 fvdw = _mm_mul_ps(_mm_msub_ps(c12_00,rinvsix,c6_00),_mm_mul_ps(rinvsix,rinvsq00));
990 fscal = _mm_add_ps(felec,fvdw);
992 fscal = _mm_andnot_ps(dummy_mask,fscal);
994 /* Update vectorial force */
995 fix0 = _mm_macc_ps(dx00,fscal,fix0);
996 fiy0 = _mm_macc_ps(dy00,fscal,fiy0);
997 fiz0 = _mm_macc_ps(dz00,fscal,fiz0);
999 fjx0 = _mm_macc_ps(dx00,fscal,fjx0);
1000 fjy0 = _mm_macc_ps(dy00,fscal,fjy0);
1001 fjz0 = _mm_macc_ps(dz00,fscal,fjz0);
1003 /**************************
1004 * CALCULATE INTERACTIONS *
1005 **************************/
1007 r10 = _mm_mul_ps(rsq10,rinv10);
1008 r10 = _mm_andnot_ps(dummy_mask,r10);
1010 /* Compute parameters for interactions between i and j atoms */
1011 qq10 = _mm_mul_ps(iq1,jq0);
1013 /* EWALD ELECTROSTATICS */
1015 /* Analytical PME correction */
1016 zeta2 = _mm_mul_ps(beta2,rsq10);
1017 rinv3 = _mm_mul_ps(rinvsq10,rinv10);
1018 pmecorrF = gmx_mm_pmecorrF_ps(zeta2);
1019 felec = _mm_macc_ps(pmecorrF,beta3,rinv3);
1020 felec = _mm_mul_ps(qq10,felec);
1024 fscal = _mm_andnot_ps(dummy_mask,fscal);
1026 /* Update vectorial force */
1027 fix1 = _mm_macc_ps(dx10,fscal,fix1);
1028 fiy1 = _mm_macc_ps(dy10,fscal,fiy1);
1029 fiz1 = _mm_macc_ps(dz10,fscal,fiz1);
1031 fjx0 = _mm_macc_ps(dx10,fscal,fjx0);
1032 fjy0 = _mm_macc_ps(dy10,fscal,fjy0);
1033 fjz0 = _mm_macc_ps(dz10,fscal,fjz0);
1035 /**************************
1036 * CALCULATE INTERACTIONS *
1037 **************************/
1039 r20 = _mm_mul_ps(rsq20,rinv20);
1040 r20 = _mm_andnot_ps(dummy_mask,r20);
1042 /* Compute parameters for interactions between i and j atoms */
1043 qq20 = _mm_mul_ps(iq2,jq0);
1045 /* EWALD ELECTROSTATICS */
1047 /* Analytical PME correction */
1048 zeta2 = _mm_mul_ps(beta2,rsq20);
1049 rinv3 = _mm_mul_ps(rinvsq20,rinv20);
1050 pmecorrF = gmx_mm_pmecorrF_ps(zeta2);
1051 felec = _mm_macc_ps(pmecorrF,beta3,rinv3);
1052 felec = _mm_mul_ps(qq20,felec);
1056 fscal = _mm_andnot_ps(dummy_mask,fscal);
1058 /* Update vectorial force */
1059 fix2 = _mm_macc_ps(dx20,fscal,fix2);
1060 fiy2 = _mm_macc_ps(dy20,fscal,fiy2);
1061 fiz2 = _mm_macc_ps(dz20,fscal,fiz2);
1063 fjx0 = _mm_macc_ps(dx20,fscal,fjx0);
1064 fjy0 = _mm_macc_ps(dy20,fscal,fjy0);
1065 fjz0 = _mm_macc_ps(dz20,fscal,fjz0);
1067 fjptrA = (jnrlistA>=0) ? f+j_coord_offsetA : scratch;
1068 fjptrB = (jnrlistB>=0) ? f+j_coord_offsetB : scratch;
1069 fjptrC = (jnrlistC>=0) ? f+j_coord_offsetC : scratch;
1070 fjptrD = (jnrlistD>=0) ? f+j_coord_offsetD : scratch;
1072 gmx_mm_decrement_1rvec_4ptr_swizzle_ps(fjptrA,fjptrB,fjptrC,fjptrD,fjx0,fjy0,fjz0);
1074 /* Inner loop uses 94 flops */
1077 /* End of innermost loop */
1079 gmx_mm_update_iforce_3atom_swizzle_ps(fix0,fiy0,fiz0,fix1,fiy1,fiz1,fix2,fiy2,fiz2,
1080 f+i_coord_offset,fshift+i_shift_offset);
1082 /* Increment number of inner iterations */
1083 inneriter += j_index_end - j_index_start;
1085 /* Outer loop uses 18 flops */
1088 /* Increment number of outer iterations */
1091 /* Update outer/inner flops */
1093 inc_nrnb(nrnb,eNR_NBKERNEL_ELEC_VDW_W3_F,outeriter*18 + inneriter*94);