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40 #include "nb_free_energy.h"
49 #include "gromacs/gmxlib/nrnb.h"
50 #include "gromacs/gmxlib/nonbonded/nonbonded.h"
51 #include "gromacs/math/arrayrefwithpadding.h"
52 #include "gromacs/math/functions.h"
53 #include "gromacs/math/vec.h"
54 #include "gromacs/mdtypes/forceoutput.h"
55 #include "gromacs/mdtypes/forcerec.h"
56 #include "gromacs/mdtypes/interaction_const.h"
57 #include "gromacs/mdtypes/md_enums.h"
58 #include "gromacs/mdtypes/mdatom.h"
59 #include "gromacs/mdtypes/nblist.h"
60 #include "gromacs/pbcutil/ishift.h"
61 #include "gromacs/simd/simd.h"
62 #include "gromacs/simd/simd_math.h"
63 #include "gromacs/utility/fatalerror.h"
64 #include "gromacs/utility/arrayref.h"
67 //! Scalar (non-SIMD) data types.
68 struct ScalarDataTypes
70 using RealType = real; //!< The data type to use as real.
71 using IntType = int; //!< The data type to use as int.
72 using BoolType = bool; //!< The data type to use as bool for real value comparison.
73 static constexpr int simdRealWidth = 1; //!< The width of the RealType.
74 static constexpr int simdIntWidth = 1; //!< The width of the IntType.
77 #if GMX_SIMD_HAVE_REAL && GMX_SIMD_HAVE_INT32_ARITHMETICS
81 using RealType = gmx::SimdReal; //!< The data type to use as real.
82 using IntType = gmx::SimdInt32; //!< The data type to use as int.
83 using BoolType = gmx::SimdBool; //!< The data type to use as bool for real value comparison.
84 static constexpr int simdRealWidth = GMX_SIMD_REAL_WIDTH; //!< The width of the RealType.
85 # if GMX_SIMD_HAVE_DOUBLE && GMX_DOUBLE
86 static constexpr int simdIntWidth = GMX_SIMD_DINT32_WIDTH; //!< The width of the IntType.
88 static constexpr int simdIntWidth = GMX_SIMD_FINT32_WIDTH; //!< The width of the IntType.
93 /*! \brief Lower limit for square interaction distances in nonbonded kernels.
95 * This is a mimimum on r^2 to avoid overflows when computing r^6.
96 * This will only affect results for soft-cored interaction at distances smaller
97 * than 1e-6 and will limit extremely high foreign energies for overlapping atoms.
98 * Note that we could use a somewhat smaller minimum in double precision.
99 * But because invsqrt in double precision can use single precision, this number
100 * can not be much smaller, we use the same number for simplicity.
102 constexpr real c_minDistanceSquared = 1.0e-12_real;
104 /*! \brief Higher limit for r^-6 used for Lennard-Jones interactions
106 * This is needed to avoid overflow of LJ energy and force terms for excluded
107 * atoms and foreign energies of hard-core states of overlapping atoms.
108 * Note that in single precision this value leaves room for C12 coefficients up to 3.4e8.
110 constexpr real c_maxRInvSix = 1.0e15_real;
112 template<bool computeForces, class RealType>
114 pmeCoulombCorrectionVF(const RealType rSq, const real beta, RealType* pot, RealType gmx_unused* force)
116 const RealType brsq = rSq * beta * beta;
117 if constexpr (computeForces)
119 *force = -brsq * beta * gmx::pmeForceCorrection(brsq);
121 *pot = beta * gmx::pmePotentialCorrection(brsq);
124 template<bool computeForces, class RealType, class BoolType>
125 static inline void pmeLJCorrectionVF(const RealType rInv,
127 const real ewaldLJCoeffSq,
128 const real ewaldLJCoeffSixDivSix,
130 RealType gmx_unused* force,
132 const BoolType bIiEqJnr)
134 // We mask rInv to get zero force and potential for masked out pair interactions
135 const RealType rInvSq = rInv * rInv;
136 const RealType rInvSix = rInvSq * rInvSq * rInvSq;
137 // Mask rSq to avoid underflow in exp()
138 const RealType coeffSqRSq = ewaldLJCoeffSq * gmx::selectByMask(rSq, mask);
139 const RealType expNegCoeffSqRSq = gmx::exp(-coeffSqRSq);
140 const RealType poly = 1.0_real + coeffSqRSq + 0.5_real * coeffSqRSq * coeffSqRSq;
141 if constexpr (computeForces)
143 *force = rInvSix - expNegCoeffSqRSq * (rInvSix * poly + ewaldLJCoeffSixDivSix);
144 *force = *force * rInvSq;
146 // The self interaction is the limit for r -> 0 which we need to compute separately
148 rInvSix * (1.0_real - expNegCoeffSqRSq * poly), 0.5_real * ewaldLJCoeffSixDivSix, bIiEqJnr);
151 //! Computes r^(1/6) and 1/r^(1/6)
152 template<class RealType>
153 static inline void sixthRoot(const RealType r, RealType* sixthRoot, RealType* invSixthRoot)
155 RealType cbrtRes = gmx::cbrt(r);
156 *invSixthRoot = gmx::invsqrt(cbrtRes);
157 *sixthRoot = gmx::inv(*invSixthRoot);
160 template<class RealType>
161 static inline RealType calculateRinv6(const RealType rInvV)
163 RealType rInv6 = rInvV * rInvV;
164 return (rInv6 * rInv6 * rInv6);
167 template<class RealType>
168 static inline RealType calculateVdw6(const RealType c6, const RealType rInv6)
173 template<class RealType>
174 static inline RealType calculateVdw12(const RealType c12, const RealType rInv6)
176 return (c12 * rInv6 * rInv6);
179 /* reaction-field electrostatics */
180 template<class RealType>
181 static inline RealType reactionFieldScalarForce(const RealType qq,
187 return (qq * (rInv - two * krf * r * r));
189 template<class RealType>
190 static inline RealType reactionFieldPotential(const RealType qq,
194 const real potentialShift)
196 return (qq * (rInv + krf * r * r - potentialShift));
199 /* Ewald electrostatics */
200 template<class RealType>
201 static inline RealType ewaldScalarForce(const RealType coulomb, const RealType rInv)
203 return (coulomb * rInv);
205 template<class RealType>
206 static inline RealType ewaldPotential(const RealType coulomb, const RealType rInv, const real potentialShift)
208 return (coulomb * (rInv - potentialShift));
212 template<class RealType>
213 static inline RealType lennardJonesScalarForce(const RealType v6, const RealType v12)
217 template<class RealType>
218 static inline RealType lennardJonesPotential(const RealType v6,
222 const real repulsionShift,
223 const real dispersionShift,
225 const real oneTwelfth)
227 return ((v12 + c12 * repulsionShift) * oneTwelfth - (v6 + c6 * dispersionShift) * oneSixth);
231 template<class RealType>
232 static inline RealType ewaldLennardJonesGridSubtract(const RealType c6grid,
233 const real potentialShift,
236 return (c6grid * potentialShift * oneSixth);
239 /* LJ Potential switch */
240 template<class RealType, class BoolType>
241 static inline RealType potSwitchScalarForceMod(const RealType fScalarInp,
242 const RealType potential,
248 /* The mask should select on rV < rVdw */
249 return (gmx::selectByMask(fScalarInp * sw - r * potential * dsw, mask));
251 template<class RealType, class BoolType>
252 static inline RealType potSwitchPotentialMod(const RealType potentialInp, const RealType sw, const BoolType mask)
254 /* The mask should select on rV < rVdw */
255 return (gmx::selectByMask(potentialInp * sw, mask));
259 //! Templated free-energy non-bonded kernel
260 template<typename DataTypes, bool useSoftCore, bool scLambdasOrAlphasDiffer, bool vdwInteractionTypeIsEwald, bool elecInteractionTypeIsEwald, bool vdwModifierIsPotSwitch, bool computeForces>
261 static void nb_free_energy_kernel(const t_nblist& nlist,
262 const gmx::ArrayRefWithPadding<const gmx::RVec>& coords,
265 const interaction_const_t& ic,
266 gmx::ArrayRef<const gmx::RVec> shiftvec,
267 gmx::ArrayRef<const real> nbfp,
268 gmx::ArrayRef<const real> gmx_unused nbfp_grid,
269 gmx::ArrayRef<const real> chargeA,
270 gmx::ArrayRef<const real> chargeB,
271 gmx::ArrayRef<const int> typeA,
272 gmx::ArrayRef<const int> typeB,
274 gmx::ArrayRef<const real> lambda,
275 t_nrnb* gmx_restrict nrnb,
276 gmx::ArrayRefWithPadding<gmx::RVec> threadForceBuffer,
277 rvec gmx_unused* threadForceShiftBuffer,
278 gmx::ArrayRef<real> threadVc,
279 gmx::ArrayRef<real> threadVv,
280 gmx::ArrayRef<real> threadDvdl)
286 using RealType = typename DataTypes::RealType;
287 using IntType = typename DataTypes::IntType;
288 using BoolType = typename DataTypes::BoolType;
290 constexpr real oneTwelfth = 1.0_real / 12.0_real;
291 constexpr real oneSixth = 1.0_real / 6.0_real;
292 constexpr real zero = 0.0_real;
293 constexpr real half = 0.5_real;
294 constexpr real one = 1.0_real;
295 constexpr real two = 2.0_real;
296 constexpr real six = 6.0_real;
298 // Extract pair list data
299 const int nri = nlist.nri;
300 gmx::ArrayRef<const int> iinr = nlist.iinr;
301 gmx::ArrayRef<const int> jindex = nlist.jindex;
302 gmx::ArrayRef<const int> jjnr = nlist.jjnr;
303 gmx::ArrayRef<const int> shift = nlist.shift;
304 gmx::ArrayRef<const int> gid = nlist.gid;
306 const real lambda_coul = lambda[static_cast<int>(FreeEnergyPerturbationCouplingType::Coul)];
307 const real lambda_vdw = lambda[static_cast<int>(FreeEnergyPerturbationCouplingType::Vdw)];
308 const auto& scParams = *ic.softCoreParameters;
309 const real gmx_unused alpha_coul = scParams.alphaCoulomb;
310 const real gmx_unused alpha_vdw = scParams.alphaVdw;
311 const real lam_power = scParams.lambdaPower;
312 const real gmx_unused sigma6_def = scParams.sigma6WithInvalidSigma;
313 const real gmx_unused sigma6_min = scParams.sigma6Minimum;
314 const bool gmx_unused doShiftForces = ((flags & GMX_NONBONDED_DO_SHIFTFORCE) != 0);
315 const bool doPotential = ((flags & GMX_NONBONDED_DO_POTENTIAL) != 0);
317 // Extract data from interaction_const_t
318 const real facel = ic.epsfac;
319 const real rCoulomb = ic.rcoulomb;
320 const real krf = ic.reactionFieldCoefficient;
321 const real crf = ic.reactionFieldShift;
322 const real gmx_unused shLjEwald = ic.sh_lj_ewald;
323 const real rVdw = ic.rvdw;
324 const real dispersionShift = ic.dispersion_shift.cpot;
325 const real repulsionShift = ic.repulsion_shift.cpot;
326 const real ewaldBeta = ic.ewaldcoeff_q;
327 real gmx_unused ewaldLJCoeffSq;
328 real gmx_unused ewaldLJCoeffSixDivSix;
329 if constexpr (vdwInteractionTypeIsEwald)
331 ewaldLJCoeffSq = ic.ewaldcoeff_lj * ic.ewaldcoeff_lj;
332 ewaldLJCoeffSixDivSix = ewaldLJCoeffSq * ewaldLJCoeffSq * ewaldLJCoeffSq / six;
335 // Note that the nbnxm kernels do not support Coulomb potential switching at all
336 GMX_ASSERT(ic.coulomb_modifier != InteractionModifiers::PotSwitch,
337 "Potential switching is not supported for Coulomb with FEP");
339 const real rVdwSwitch = ic.rvdw_switch;
340 real gmx_unused vdw_swV3, vdw_swV4, vdw_swV5, vdw_swF2, vdw_swF3, vdw_swF4;
341 if constexpr (vdwModifierIsPotSwitch)
343 const real d = rVdw - rVdwSwitch;
344 vdw_swV3 = -10.0_real / (d * d * d);
345 vdw_swV4 = 15.0_real / (d * d * d * d);
346 vdw_swV5 = -6.0_real / (d * d * d * d * d);
347 vdw_swF2 = -30.0_real / (d * d * d);
348 vdw_swF3 = 60.0_real / (d * d * d * d);
349 vdw_swF4 = -30.0_real / (d * d * d * d * d);
353 /* Avoid warnings from stupid compilers (looking at you, Clang!) */
354 vdw_swV3 = vdw_swV4 = vdw_swV5 = vdw_swF2 = vdw_swF3 = vdw_swF4 = zero;
357 NbkernelElecType icoul;
358 if (ic.eeltype == CoulombInteractionType::Cut || EEL_RF(ic.eeltype))
360 icoul = NbkernelElecType::ReactionField;
364 icoul = NbkernelElecType::None;
367 real rcutoff_max2 = std::max(ic.rcoulomb, ic.rvdw);
368 rcutoff_max2 = rcutoff_max2 * rcutoff_max2;
370 real gmx_unused sh_ewald = 0;
371 if constexpr (elecInteractionTypeIsEwald || vdwInteractionTypeIsEwald)
373 sh_ewald = ic.sh_ewald;
376 /* For Ewald/PME interactions we cannot easily apply the soft-core component to
377 * reciprocal space. When we use non-switched Ewald interactions, we
378 * assume the soft-coring does not significantly affect the grid contribution
379 * and apply the soft-core only to the full 1/r (- shift) pair contribution.
381 * However, we cannot use this approach for switch-modified since we would then
382 * effectively end up evaluating a significantly different interaction here compared to the
383 * normal (non-free-energy) kernels, either by applying a cutoff at a different
384 * position than what the user requested, or by switching different
385 * things (1/r rather than short-range Ewald). For these settings, we just
386 * use the traditional short-range Ewald interaction in that case.
388 GMX_RELEASE_ASSERT(!(vdwInteractionTypeIsEwald && vdwModifierIsPotSwitch),
389 "Can not apply soft-core to switched Ewald potentials");
391 const RealType minDistanceSquared(c_minDistanceSquared);
392 const RealType maxRInvSix(c_maxRInvSix);
393 const RealType gmx_unused floatMin(GMX_FLOAT_MIN);
395 RealType dvdlCoul(zero);
396 RealType dvdlVdw(zero);
398 /* Lambda factor for state A, 1-lambda*/
399 real LFC[NSTATES], LFV[NSTATES];
400 LFC[STATE_A] = one - lambda_coul;
401 LFV[STATE_A] = one - lambda_vdw;
403 /* Lambda factor for state B, lambda*/
404 LFC[STATE_B] = lambda_coul;
405 LFV[STATE_B] = lambda_vdw;
407 /*derivative of the lambda factor for state A and B */
412 real gmx_unused lFacCoul[NSTATES], dlFacCoul[NSTATES], lFacVdw[NSTATES], dlFacVdw[NSTATES];
413 constexpr real sc_r_power = six;
414 for (int i = 0; i < NSTATES; i++)
416 lFacCoul[i] = (lam_power == 2 ? (1 - LFC[i]) * (1 - LFC[i]) : (1 - LFC[i]));
417 dlFacCoul[i] = DLF[i] * lam_power / sc_r_power * (lam_power == 2 ? (1 - LFC[i]) : 1);
418 lFacVdw[i] = (lam_power == 2 ? (1 - LFV[i]) * (1 - LFV[i]) : (1 - LFV[i]));
419 dlFacVdw[i] = DLF[i] * lam_power / sc_r_power * (lam_power == 2 ? (1 - LFV[i]) : 1);
422 // We need pointers to real for SIMD access
423 const real* gmx_restrict x = coords.paddedConstArrayRef().data()[0];
424 real* gmx_restrict forceRealPtr;
425 if constexpr (computeForces)
427 GMX_ASSERT(nri == 0 || !threadForceBuffer.empty(), "need a valid threadForceBuffer");
429 forceRealPtr = threadForceBuffer.paddedArrayRef().data()[0];
433 GMX_ASSERT(threadForceShiftBuffer != nullptr, "need a valid threadForceShiftBuffer");
437 const real rlistSquared = gmx::square(rlist);
439 bool haveExcludedPairsBeyondRlist = false;
441 for (int n = 0; n < nri; n++)
443 bool havePairsWithinCutoff = false;
445 const int is = shift[n];
446 const real shX = shiftvec[is][XX];
447 const real shY = shiftvec[is][YY];
448 const real shZ = shiftvec[is][ZZ];
449 const int nj0 = jindex[n];
450 const int nj1 = jindex[n + 1];
451 const int ii = iinr[n];
452 const int ii3 = 3 * ii;
453 const real ix = shX + x[ii3 + 0];
454 const real iy = shY + x[ii3 + 1];
455 const real iz = shZ + x[ii3 + 2];
456 const real iqA = facel * chargeA[ii];
457 const real iqB = facel * chargeB[ii];
458 const int ntiA = ntype * typeA[ii];
459 const int ntiB = ntype * typeB[ii];
466 #if GMX_SIMD_HAVE_REAL
467 alignas(GMX_SIMD_ALIGNMENT) int preloadIi[DataTypes::simdRealWidth];
468 alignas(GMX_SIMD_ALIGNMENT) int gmx_unused preloadIs[DataTypes::simdRealWidth];
470 int preloadIi[DataTypes::simdRealWidth];
471 int gmx_unused preloadIs[DataTypes::simdRealWidth];
473 for (int s = 0; s < DataTypes::simdRealWidth; s++)
476 preloadIs[s] = shift[n];
478 IntType ii_s = gmx::load<IntType>(preloadIi);
480 for (int k = nj0; k < nj1; k += DataTypes::simdRealWidth)
484 #if GMX_SIMD_HAVE_REAL
485 alignas(GMX_SIMD_ALIGNMENT) real preloadPairIsValid[DataTypes::simdRealWidth];
486 alignas(GMX_SIMD_ALIGNMENT) real preloadPairIncluded[DataTypes::simdRealWidth];
487 alignas(GMX_SIMD_ALIGNMENT) int32_t preloadJnr[DataTypes::simdRealWidth];
488 alignas(GMX_SIMD_ALIGNMENT) int32_t typeIndices[NSTATES][DataTypes::simdRealWidth];
489 alignas(GMX_SIMD_ALIGNMENT) real preloadQq[NSTATES][DataTypes::simdRealWidth];
490 alignas(GMX_SIMD_ALIGNMENT) real gmx_unused preloadSigma6[NSTATES][DataTypes::simdRealWidth];
491 alignas(GMX_SIMD_ALIGNMENT) real gmx_unused preloadAlphaVdwEff[DataTypes::simdRealWidth];
492 alignas(GMX_SIMD_ALIGNMENT) real gmx_unused preloadAlphaCoulEff[DataTypes::simdRealWidth];
493 alignas(GMX_SIMD_ALIGNMENT) real preloadLjPmeC6Grid[NSTATES][DataTypes::simdRealWidth];
495 real preloadPairIsValid[DataTypes::simdRealWidth];
496 real preloadPairIncluded[DataTypes::simdRealWidth];
497 int preloadJnr[DataTypes::simdRealWidth];
498 int typeIndices[NSTATES][DataTypes::simdRealWidth];
499 real preloadQq[NSTATES][DataTypes::simdRealWidth];
500 real gmx_unused preloadSigma6[NSTATES][DataTypes::simdRealWidth];
501 real gmx_unused preloadAlphaVdwEff[DataTypes::simdRealWidth];
502 real gmx_unused preloadAlphaCoulEff[DataTypes::simdRealWidth];
503 real preloadLjPmeC6Grid[NSTATES][DataTypes::simdRealWidth];
505 for (int s = 0; s < DataTypes::simdRealWidth; s++)
509 preloadPairIsValid[s] = true;
510 /* Check if this pair on the exclusions list.*/
511 preloadPairIncluded[s] = (nlist.excl_fep.empty() || nlist.excl_fep[k + s]);
512 const int jnr = jjnr[k + s];
514 typeIndices[STATE_A][s] = ntiA + typeA[jnr];
515 typeIndices[STATE_B][s] = ntiB + typeB[jnr];
516 preloadQq[STATE_A][s] = iqA * chargeA[jnr];
517 preloadQq[STATE_B][s] = iqB * chargeB[jnr];
519 for (int i = 0; i < NSTATES; i++)
521 if constexpr (vdwInteractionTypeIsEwald)
523 preloadLjPmeC6Grid[i][s] = nbfp_grid[2 * typeIndices[i][s]];
527 preloadLjPmeC6Grid[i][s] = 0;
529 if constexpr (useSoftCore)
531 const real c6 = nbfp[2 * typeIndices[i][s]];
532 const real c12 = nbfp[2 * typeIndices[i][s] + 1];
533 if (c6 > 0 && c12 > 0)
535 /* c12 is stored scaled with 12.0 and c6 is scaled with 6.0 - correct for this */
536 preloadSigma6[i][s] = 0.5_real * c12 / c6;
537 if (preloadSigma6[i][s]
538 < sigma6_min) /* for disappearing coul and vdw with soft core at the same time */
540 preloadSigma6[i][s] = sigma6_min;
545 preloadSigma6[i][s] = sigma6_def;
549 if constexpr (useSoftCore)
551 /* only use softcore if one of the states has a zero endstate - softcore is for avoiding infinities!*/
552 const real c12A = nbfp[2 * typeIndices[STATE_A][s] + 1];
553 const real c12B = nbfp[2 * typeIndices[STATE_B][s] + 1];
554 if (c12A > 0 && c12B > 0)
556 preloadAlphaVdwEff[s] = 0;
557 preloadAlphaCoulEff[s] = 0;
561 preloadAlphaVdwEff[s] = alpha_vdw;
562 preloadAlphaCoulEff[s] = alpha_coul;
568 preloadJnr[s] = jjnr[k];
569 preloadPairIsValid[s] = false;
570 preloadPairIncluded[s] = false;
571 preloadAlphaVdwEff[s] = 0;
572 preloadAlphaCoulEff[s] = 0;
574 for (int i = 0; i < NSTATES; i++)
576 typeIndices[STATE_A][s] = ntiA + typeA[jjnr[k]];
577 typeIndices[STATE_B][s] = ntiB + typeB[jjnr[k]];
578 preloadLjPmeC6Grid[i][s] = 0;
580 preloadSigma6[i][s] = 0;
586 gmx::gatherLoadUTranspose<3>(reinterpret_cast<const real*>(x), preloadJnr, &jx, &jy, &jz);
588 const RealType pairIsValid = gmx::load<RealType>(preloadPairIsValid);
589 const RealType pairIncluded = gmx::load<RealType>(preloadPairIncluded);
590 const BoolType bPairIncluded = (pairIncluded != zero);
591 const BoolType bPairExcluded = (pairIncluded == zero && pairIsValid != zero);
593 const RealType dX = ix - jx;
594 const RealType dY = iy - jy;
595 const RealType dZ = iz - jz;
596 RealType rSq = dX * dX + dY * dY + dZ * dZ;
598 BoolType withinCutoffMask = (rSq < rcutoff_max2);
600 if (!gmx::anyTrue(withinCutoffMask || bPairExcluded))
602 /* We save significant time by skipping all code below.
603 * Note that with soft-core interactions, the actual cut-off
604 * check might be different. But since the soft-core distance
605 * is always larger than r, checking on r here is safe.
606 * Exclusions outside the cutoff can not be skipped as
607 * when using Ewald: the reciprocal-space
608 * Ewald component still needs to be subtracted.
614 havePairsWithinCutoff = true;
617 if (gmx::anyTrue(rlistSquared < rSq && bPairExcluded))
619 haveExcludedPairsBeyondRlist = true;
622 const IntType jnr_s = gmx::load<IntType>(preloadJnr);
623 const BoolType bIiEqJnr = gmx::cvtIB2B(ii_s == jnr_s);
625 RealType c6[NSTATES];
626 RealType c12[NSTATES];
627 RealType gmx_unused sigma6[NSTATES];
628 RealType qq[NSTATES];
629 RealType gmx_unused ljPmeC6Grid[NSTATES];
630 RealType gmx_unused alphaVdwEff;
631 RealType gmx_unused alphaCoulEff;
632 for (int i = 0; i < NSTATES; i++)
634 gmx::gatherLoadTranspose<2>(nbfp.data(), typeIndices[i], &c6[i], &c12[i]);
635 qq[i] = gmx::load<RealType>(preloadQq[i]);
636 ljPmeC6Grid[i] = gmx::load<RealType>(preloadLjPmeC6Grid[i]);
637 if constexpr (useSoftCore)
639 sigma6[i] = gmx::load<RealType>(preloadSigma6[i]);
642 if constexpr (useSoftCore)
644 alphaVdwEff = gmx::load<RealType>(preloadAlphaVdwEff);
645 alphaCoulEff = gmx::load<RealType>(preloadAlphaCoulEff);
648 // Avoid overflow of r^-12 at distances near zero
649 rSq = gmx::max(rSq, minDistanceSquared);
650 rInv = gmx::invsqrt(rSq);
653 RealType gmx_unused rp, rpm2;
654 if constexpr (useSoftCore)
656 rpm2 = rSq * rSq; /* r4 */
657 rp = rpm2 * rSq; /* r6 */
661 /* The soft-core power p will not affect the results
662 * with not using soft-core, so we use power of 0 which gives
663 * the simplest math and cheapest code.
671 /* The following block is masked to only calculate values having bPairIncluded. If
672 * bPairIncluded is true then withinCutoffMask must also be true. */
673 if (gmx::anyTrue(withinCutoffMask && bPairIncluded))
675 RealType gmx_unused fScalC[NSTATES], fScalV[NSTATES];
676 RealType vCoul[NSTATES], vVdw[NSTATES];
677 for (int i = 0; i < NSTATES; i++)
684 RealType gmx_unused rInvC, rInvV, rC, rV, rPInvC, rPInvV;
686 /* The following block is masked to require (qq[i] != 0 || c6[i] != 0 || c12[i]
687 * != 0) in addition to bPairIncluded, which in turn requires withinCutoffMask. */
688 BoolType nonZeroState = ((qq[i] != zero || c6[i] != zero || c12[i] != zero)
689 && bPairIncluded && withinCutoffMask);
690 if (gmx::anyTrue(nonZeroState))
692 if constexpr (useSoftCore)
694 RealType divisor = (alphaCoulEff * lFacCoul[i] * sigma6[i] + rp);
695 rPInvC = gmx::inv(divisor);
696 sixthRoot(rPInvC, &rInvC, &rC);
698 if constexpr (scLambdasOrAlphasDiffer)
700 RealType divisor = (alphaVdwEff * lFacVdw[i] * sigma6[i] + rp);
701 rPInvV = gmx::inv(divisor);
702 sixthRoot(rPInvV, &rInvV, &rV);
706 /* We can avoid one expensive pow and one / operation */
723 /* Only process the coulomb interactions if we either
724 * include all entries in the list (no cutoff
725 * used in the kernel), or if we are within the cutoff.
727 BoolType computeElecInteraction;
728 if constexpr (elecInteractionTypeIsEwald)
730 computeElecInteraction = (r < rCoulomb && qq[i] != zero && bPairIncluded);
734 computeElecInteraction = (rC < rCoulomb && qq[i] != zero && bPairIncluded);
736 if (gmx::anyTrue(computeElecInteraction))
738 if constexpr (elecInteractionTypeIsEwald)
740 vCoul[i] = ewaldPotential(qq[i], rInvC, sh_ewald);
741 if constexpr (computeForces)
743 fScalC[i] = ewaldScalarForce(qq[i], rInvC);
748 vCoul[i] = reactionFieldPotential(qq[i], rInvC, rC, krf, crf);
749 if constexpr (computeForces)
751 fScalC[i] = reactionFieldScalarForce(qq[i], rInvC, rC, krf, two);
755 vCoul[i] = gmx::selectByMask(vCoul[i], computeElecInteraction);
756 if constexpr (computeForces)
758 fScalC[i] = gmx::selectByMask(fScalC[i], computeElecInteraction);
762 /* Only process the VDW interactions if we either
763 * include all entries in the list (no cutoff used
764 * in the kernel), or if we are within the cutoff.
766 BoolType computeVdwInteraction;
767 if constexpr (vdwInteractionTypeIsEwald)
769 computeVdwInteraction =
770 (r < rVdw && (c6[i] != 0 || c12[i] != 0) && bPairIncluded);
774 computeVdwInteraction =
775 (rV < rVdw && (c6[i] != 0 || c12[i] != 0) && bPairIncluded);
777 if (gmx::anyTrue(computeVdwInteraction))
780 if constexpr (useSoftCore)
786 rInv6 = calculateRinv6(rInvV);
788 // Avoid overflow at short distance for masked exclusions and
789 // for foreign energy calculations at a hard core end state.
790 // Note that we should limit r^-6, and thus also r^-12, and
791 // not only r^-12, as that could lead to erroneously low instead
792 // of very high foreign energies.
793 rInv6 = gmx::min(rInv6, maxRInvSix);
794 RealType vVdw6 = calculateVdw6(c6[i], rInv6);
795 RealType vVdw12 = calculateVdw12(c12[i], rInv6);
797 vVdw[i] = lennardJonesPotential(
798 vVdw6, vVdw12, c6[i], c12[i], repulsionShift, dispersionShift, oneSixth, oneTwelfth);
799 if constexpr (computeForces)
801 fScalV[i] = lennardJonesScalarForce(vVdw6, vVdw12);
804 if constexpr (vdwInteractionTypeIsEwald)
806 /* Subtract the grid potential at the cut-off */
808 + gmx::selectByMask(ewaldLennardJonesGridSubtract(
809 ljPmeC6Grid[i], shLjEwald, oneSixth),
810 computeVdwInteraction);
813 if constexpr (vdwModifierIsPotSwitch)
815 RealType d = rV - rVdwSwitch;
816 BoolType zeroMask = zero < d;
817 BoolType potSwitchMask = rV < rVdw;
818 d = gmx::selectByMask(d, zeroMask);
819 const RealType d2 = d * d;
821 one + d2 * d * (vdw_swV3 + d * (vdw_swV4 + d * vdw_swV5));
823 if constexpr (computeForces)
825 const RealType dsw = d2 * (vdw_swF2 + d * (vdw_swF3 + d * vdw_swF4));
826 fScalV[i] = potSwitchScalarForceMod(
827 fScalV[i], vVdw[i], sw, rV, dsw, potSwitchMask);
829 vVdw[i] = potSwitchPotentialMod(vVdw[i], sw, potSwitchMask);
832 vVdw[i] = gmx::selectByMask(vVdw[i], computeVdwInteraction);
833 if constexpr (computeForces)
835 fScalV[i] = gmx::selectByMask(fScalV[i], computeVdwInteraction);
839 if constexpr (computeForces)
841 /* fScalC (and fScalV) now contain: dV/drC * rC
842 * Now we multiply by rC^-6, so it will be: dV/drC * rC^-5
843 * Further down we first multiply by r^4 and then by
844 * the vector r, which in total gives: dV/drC * (r/rC)^-5
846 fScalC[i] = fScalC[i] * rPInvC;
847 fScalV[i] = fScalV[i] * rPInvV;
849 } // end of block requiring nonZeroState
850 } // end for (int i = 0; i < NSTATES; i++)
852 /* Assemble A and B states. */
853 BoolType assembleStates = (bPairIncluded && withinCutoffMask);
854 if (gmx::anyTrue(assembleStates))
856 for (int i = 0; i < NSTATES; i++)
858 vCTot = vCTot + LFC[i] * vCoul[i];
859 vVTot = vVTot + LFV[i] * vVdw[i];
861 if constexpr (computeForces)
863 fScal = fScal + LFC[i] * fScalC[i] * rpm2;
864 fScal = fScal + LFV[i] * fScalV[i] * rpm2;
867 if constexpr (useSoftCore)
869 dvdlCoul = dvdlCoul + vCoul[i] * DLF[i]
870 + LFC[i] * alphaCoulEff * dlFacCoul[i] * fScalC[i] * sigma6[i];
871 dvdlVdw = dvdlVdw + vVdw[i] * DLF[i]
872 + LFV[i] * alphaVdwEff * dlFacVdw[i] * fScalV[i] * sigma6[i];
876 dvdlCoul = dvdlCoul + vCoul[i] * DLF[i];
877 dvdlVdw = dvdlVdw + vVdw[i] * DLF[i];
881 } // end of block requiring bPairIncluded && withinCutoffMask
882 /* In the following block bPairIncluded should be false in the masks. */
883 if (icoul == NbkernelElecType::ReactionField)
885 const BoolType computeReactionField = bPairExcluded;
887 if (gmx::anyTrue(computeReactionField))
889 /* For excluded pairs we don't use soft-core.
890 * As there is no singularity, there is no need for soft-core.
892 const RealType FF = -two * krf;
893 RealType VV = krf * rSq - crf;
895 /* If ii == jnr the i particle (ii) has itself (jnr)
896 * in its neighborlist. This corresponds to a self-interaction
897 * that will occur twice. Scale it down by 50% to only include
900 VV = VV * gmx::blend(one, half, bIiEqJnr);
902 for (int i = 0; i < NSTATES; i++)
904 vCTot = vCTot + gmx::selectByMask(LFC[i] * qq[i] * VV, computeReactionField);
905 fScal = fScal + gmx::selectByMask(LFC[i] * qq[i] * FF, computeReactionField);
906 dvdlCoul = dvdlCoul + gmx::selectByMask(DLF[i] * qq[i] * VV, computeReactionField);
911 const BoolType computeElecEwaldInteraction = (bPairExcluded || r < rCoulomb);
912 if (elecInteractionTypeIsEwald && gmx::anyTrue(computeElecEwaldInteraction))
914 /* See comment in the preamble. When using Ewald interactions
915 * (unless we use a switch modifier) we subtract the reciprocal-space
916 * Ewald component here which made it possible to apply the free
917 * energy interaction to 1/r (vanilla coulomb short-range part)
918 * above. This gets us closer to the ideal case of applying
919 * the softcore to the entire electrostatic interaction,
920 * including the reciprocal-space component.
924 pmeCoulombCorrectionVF<computeForces>(rSq, ewaldBeta, &v_lr, &f_lr);
925 if constexpr (computeForces)
927 f_lr = f_lr * rInv * rInv;
930 /* Note that any possible Ewald shift has already been applied in
931 * the normal interaction part above.
934 /* If ii == jnr the i particle (ii) has itself (jnr)
935 * in its neighborlist. This corresponds to a self-interaction
936 * that will occur twice. Scale it down by 50% to only include
939 v_lr = v_lr * gmx::blend(one, half, bIiEqJnr);
941 for (int i = 0; i < NSTATES; i++)
943 vCTot = vCTot - gmx::selectByMask(LFC[i] * qq[i] * v_lr, computeElecEwaldInteraction);
944 if constexpr (computeForces)
946 fScal = fScal - gmx::selectByMask(LFC[i] * qq[i] * f_lr, computeElecEwaldInteraction);
949 - gmx::selectByMask(DLF[i] * qq[i] * v_lr, computeElecEwaldInteraction);
953 const BoolType computeVdwEwaldInteraction = (bPairExcluded || r < rVdw);
954 if (vdwInteractionTypeIsEwald && gmx::anyTrue(computeVdwEwaldInteraction))
956 /* See comment in the preamble. When using LJ-Ewald interactions
957 * (unless we use a switch modifier) we subtract the reciprocal-space
958 * Ewald component here which made it possible to apply the free
959 * energy interaction to r^-6 (vanilla LJ6 short-range part)
960 * above. This gets us closer to the ideal case of applying
961 * the softcore to the entire VdW interaction,
962 * including the reciprocal-space component.
966 pmeLJCorrectionVF<computeForces>(
967 rInv, rSq, ewaldLJCoeffSq, ewaldLJCoeffSixDivSix, &v_lr, &f_lr, computeVdwEwaldInteraction, bIiEqJnr);
968 v_lr = v_lr * oneSixth;
970 for (int i = 0; i < NSTATES; i++)
972 vVTot = vVTot + gmx::selectByMask(LFV[i] * ljPmeC6Grid[i] * v_lr, computeVdwEwaldInteraction);
973 if constexpr (computeForces)
975 fScal = fScal + gmx::selectByMask(LFV[i] * ljPmeC6Grid[i] * f_lr, computeVdwEwaldInteraction);
977 dvdlVdw = dvdlVdw + gmx::selectByMask(DLF[i] * ljPmeC6Grid[i] * v_lr, computeVdwEwaldInteraction);
981 if (computeForces && gmx::anyTrue(fScal != zero))
983 const RealType tX = fScal * dX;
984 const RealType tY = fScal * dY;
985 const RealType tZ = fScal * dZ;
990 gmx::transposeScatterDecrU<3>(forceRealPtr, preloadJnr, tX, tY, tZ);
992 } // end for (int k = nj0; k < nj1; k += DataTypes::simdRealWidth)
994 if (havePairsWithinCutoff)
996 if constexpr (computeForces)
998 gmx::transposeScatterIncrU<3>(forceRealPtr, preloadIi, fIX, fIY, fIZ);
1002 gmx::transposeScatterIncrU<3>(
1003 reinterpret_cast<real*>(threadForceShiftBuffer), preloadIs, fIX, fIY, fIZ);
1009 threadVc[ggid] += gmx::reduce(vCTot);
1010 threadVv[ggid] += gmx::reduce(vVTot);
1013 } // end for (int n = 0; n < nri; n++)
1015 if (gmx::anyTrue(dvdlCoul != zero))
1017 threadDvdl[static_cast<int>(FreeEnergyPerturbationCouplingType::Coul)] += gmx::reduce(dvdlCoul);
1019 if (gmx::anyTrue(dvdlVdw != zero))
1021 threadDvdl[static_cast<int>(FreeEnergyPerturbationCouplingType::Vdw)] += gmx::reduce(dvdlVdw);
1024 /* Estimate flops, average for free energy stuff:
1025 * 12 flops per outer iteration
1026 * 150 flops per inner iteration
1027 * TODO: Update the number of flops and/or use different counts for different code paths.
1029 atomicNrnbIncrement(nrnb, eNR_NBKERNEL_FREE_ENERGY, nlist.nri * 12 + nlist.jindex[nri] * 150);
1031 if (haveExcludedPairsBeyondRlist > 0)
1034 "There are perturbed non-bonded pair interactions beyond the pair-list cutoff "
1035 "of %g nm, which is not supported. This can happen because the system is "
1036 "unstable or because intra-molecular interactions at long distances are "
1038 "latter is the case, you can try to increase nstlist or rlist to avoid this."
1039 "The error is likely triggered by the use of couple-intramol=no "
1040 "and the maximal distance in the decoupled molecule exceeding rlist.",
1045 typedef void (*KernelFunction)(const t_nblist& nlist,
1046 const gmx::ArrayRefWithPadding<const gmx::RVec>& coords,
1049 const interaction_const_t& ic,
1050 gmx::ArrayRef<const gmx::RVec> shiftvec,
1051 gmx::ArrayRef<const real> nbfp,
1052 gmx::ArrayRef<const real> nbfp_grid,
1053 gmx::ArrayRef<const real> chargeA,
1054 gmx::ArrayRef<const real> chargeB,
1055 gmx::ArrayRef<const int> typeA,
1056 gmx::ArrayRef<const int> typeB,
1058 gmx::ArrayRef<const real> lambda,
1059 t_nrnb* gmx_restrict nrnb,
1060 gmx::ArrayRefWithPadding<gmx::RVec> threadForceBuffer,
1061 rvec* threadForceShiftBuffer,
1062 gmx::ArrayRef<real> threadVc,
1063 gmx::ArrayRef<real> threadVv,
1064 gmx::ArrayRef<real> threadDvdl);
1066 template<bool useSoftCore, bool scLambdasOrAlphasDiffer, bool vdwInteractionTypeIsEwald, bool elecInteractionTypeIsEwald, bool vdwModifierIsPotSwitch, bool computeForces>
1067 static KernelFunction dispatchKernelOnUseSimd(const bool useSimd)
1071 #if GMX_SIMD_HAVE_REAL && GMX_SIMD_HAVE_INT32_ARITHMETICS && GMX_USE_SIMD_KERNELS
1072 return (nb_free_energy_kernel<SimdDataTypes, useSoftCore, scLambdasOrAlphasDiffer, vdwInteractionTypeIsEwald, elecInteractionTypeIsEwald, vdwModifierIsPotSwitch, computeForces>);
1074 return (nb_free_energy_kernel<ScalarDataTypes, useSoftCore, scLambdasOrAlphasDiffer, vdwInteractionTypeIsEwald, elecInteractionTypeIsEwald, vdwModifierIsPotSwitch, computeForces>);
1079 return (nb_free_energy_kernel<ScalarDataTypes, useSoftCore, scLambdasOrAlphasDiffer, vdwInteractionTypeIsEwald, elecInteractionTypeIsEwald, vdwModifierIsPotSwitch, computeForces>);
1083 template<bool useSoftCore, bool scLambdasOrAlphasDiffer, bool vdwInteractionTypeIsEwald, bool elecInteractionTypeIsEwald, bool vdwModifierIsPotSwitch>
1084 static KernelFunction dispatchKernelOnComputeForces(const bool computeForces, const bool useSimd)
1088 return (dispatchKernelOnUseSimd<useSoftCore, scLambdasOrAlphasDiffer, vdwInteractionTypeIsEwald, elecInteractionTypeIsEwald, vdwModifierIsPotSwitch, true>(
1093 return (dispatchKernelOnUseSimd<useSoftCore, scLambdasOrAlphasDiffer, vdwInteractionTypeIsEwald, elecInteractionTypeIsEwald, vdwModifierIsPotSwitch, false>(
1098 template<bool useSoftCore, bool scLambdasOrAlphasDiffer, bool vdwInteractionTypeIsEwald, bool elecInteractionTypeIsEwald>
1099 static KernelFunction dispatchKernelOnVdwModifier(const bool vdwModifierIsPotSwitch,
1100 const bool computeForces,
1103 if (vdwModifierIsPotSwitch)
1105 return (dispatchKernelOnComputeForces<useSoftCore, scLambdasOrAlphasDiffer, vdwInteractionTypeIsEwald, elecInteractionTypeIsEwald, true>(
1106 computeForces, useSimd));
1110 return (dispatchKernelOnComputeForces<useSoftCore, scLambdasOrAlphasDiffer, vdwInteractionTypeIsEwald, elecInteractionTypeIsEwald, false>(
1111 computeForces, useSimd));
1115 template<bool useSoftCore, bool scLambdasOrAlphasDiffer, bool vdwInteractionTypeIsEwald>
1116 static KernelFunction dispatchKernelOnElecInteractionType(const bool elecInteractionTypeIsEwald,
1117 const bool vdwModifierIsPotSwitch,
1118 const bool computeForces,
1121 if (elecInteractionTypeIsEwald)
1123 return (dispatchKernelOnVdwModifier<useSoftCore, scLambdasOrAlphasDiffer, vdwInteractionTypeIsEwald, true>(
1124 vdwModifierIsPotSwitch, computeForces, useSimd));
1128 return (dispatchKernelOnVdwModifier<useSoftCore, scLambdasOrAlphasDiffer, vdwInteractionTypeIsEwald, false>(
1129 vdwModifierIsPotSwitch, computeForces, useSimd));
1133 template<bool useSoftCore, bool scLambdasOrAlphasDiffer>
1134 static KernelFunction dispatchKernelOnVdwInteractionType(const bool vdwInteractionTypeIsEwald,
1135 const bool elecInteractionTypeIsEwald,
1136 const bool vdwModifierIsPotSwitch,
1137 const bool computeForces,
1140 if (vdwInteractionTypeIsEwald)
1142 return (dispatchKernelOnElecInteractionType<useSoftCore, scLambdasOrAlphasDiffer, true>(
1143 elecInteractionTypeIsEwald, vdwModifierIsPotSwitch, computeForces, useSimd));
1147 return (dispatchKernelOnElecInteractionType<useSoftCore, scLambdasOrAlphasDiffer, false>(
1148 elecInteractionTypeIsEwald, vdwModifierIsPotSwitch, computeForces, useSimd));
1152 template<bool useSoftCore>
1153 static KernelFunction dispatchKernelOnScLambdasOrAlphasDifference(const bool scLambdasOrAlphasDiffer,
1154 const bool vdwInteractionTypeIsEwald,
1155 const bool elecInteractionTypeIsEwald,
1156 const bool vdwModifierIsPotSwitch,
1157 const bool computeForces,
1160 if (scLambdasOrAlphasDiffer)
1162 return (dispatchKernelOnVdwInteractionType<useSoftCore, true>(
1163 vdwInteractionTypeIsEwald, elecInteractionTypeIsEwald, vdwModifierIsPotSwitch, computeForces, useSimd));
1167 return (dispatchKernelOnVdwInteractionType<useSoftCore, false>(
1168 vdwInteractionTypeIsEwald, elecInteractionTypeIsEwald, vdwModifierIsPotSwitch, computeForces, useSimd));
1172 static KernelFunction dispatchKernel(const bool scLambdasOrAlphasDiffer,
1173 const bool vdwInteractionTypeIsEwald,
1174 const bool elecInteractionTypeIsEwald,
1175 const bool vdwModifierIsPotSwitch,
1176 const bool computeForces,
1178 const interaction_const_t& ic)
1180 if (ic.softCoreParameters->alphaCoulomb == 0 && ic.softCoreParameters->alphaVdw == 0)
1182 return (dispatchKernelOnScLambdasOrAlphasDifference<false>(scLambdasOrAlphasDiffer,
1183 vdwInteractionTypeIsEwald,
1184 elecInteractionTypeIsEwald,
1185 vdwModifierIsPotSwitch,
1191 return (dispatchKernelOnScLambdasOrAlphasDifference<true>(scLambdasOrAlphasDiffer,
1192 vdwInteractionTypeIsEwald,
1193 elecInteractionTypeIsEwald,
1194 vdwModifierIsPotSwitch,
1201 void gmx_nb_free_energy_kernel(const t_nblist& nlist,
1202 const gmx::ArrayRefWithPadding<const gmx::RVec>& coords,
1206 const interaction_const_t& ic,
1207 gmx::ArrayRef<const gmx::RVec> shiftvec,
1208 gmx::ArrayRef<const real> nbfp,
1209 gmx::ArrayRef<const real> nbfp_grid,
1210 gmx::ArrayRef<const real> chargeA,
1211 gmx::ArrayRef<const real> chargeB,
1212 gmx::ArrayRef<const int> typeA,
1213 gmx::ArrayRef<const int> typeB,
1215 gmx::ArrayRef<const real> lambda,
1217 gmx::ArrayRefWithPadding<gmx::RVec> threadForceBuffer,
1218 rvec* threadForceShiftBuffer,
1219 gmx::ArrayRef<real> threadVc,
1220 gmx::ArrayRef<real> threadVv,
1221 gmx::ArrayRef<real> threadDvdl)
1223 GMX_ASSERT(EEL_PME_EWALD(ic.eeltype) || ic.eeltype == CoulombInteractionType::Cut || EEL_RF(ic.eeltype),
1224 "Unsupported eeltype with free energy");
1225 GMX_ASSERT(ic.softCoreParameters, "We need soft-core parameters");
1227 // Not all SIMD implementations need padding, but we provide padding anyhow so we can assert
1228 GMX_ASSERT(!GMX_SIMD_HAVE_REAL || threadForceBuffer.empty()
1229 || threadForceBuffer.size() > threadForceBuffer.unpaddedArrayRef().ssize(),
1230 "We need actual padding with at least one element for SIMD scatter operations");
1232 const auto& scParams = *ic.softCoreParameters;
1233 const bool vdwInteractionTypeIsEwald = (EVDW_PME(ic.vdwtype));
1234 const bool elecInteractionTypeIsEwald = (EEL_PME_EWALD(ic.eeltype));
1235 const bool vdwModifierIsPotSwitch = (ic.vdw_modifier == InteractionModifiers::PotSwitch);
1236 const bool computeForces = ((flags & GMX_NONBONDED_DO_FORCE) != 0);
1237 bool scLambdasOrAlphasDiffer = true;
1239 if (scParams.alphaCoulomb == 0 && scParams.alphaVdw == 0)
1241 scLambdasOrAlphasDiffer = false;
1245 if (lambda[static_cast<int>(FreeEnergyPerturbationCouplingType::Coul)]
1246 == lambda[static_cast<int>(FreeEnergyPerturbationCouplingType::Vdw)]
1247 && scParams.alphaCoulomb == scParams.alphaVdw)
1249 scLambdasOrAlphasDiffer = false;
1253 KernelFunction kernelFunc;
1254 kernelFunc = dispatchKernel(scLambdasOrAlphasDiffer,
1255 vdwInteractionTypeIsEwald,
1256 elecInteractionTypeIsEwald,
1257 vdwModifierIsPotSwitch,
1277 threadForceShiftBuffer,