/* ----------------------------------------------------------------------
   LAMMPS - Large-scale Atomic/Molecular Massively Parallel Simulator
   http://lammps.sandia.gov, Sandia National Laboratories
   Steve Plimpton, sjplimp@sandia.gov

   Copyright (2003) Sandia Corporation.  Under the terms of Contract
   DE-AC04-94AL85000 with Sandia Corporation, the U.S. Government retains
   certain rights in this software.  This software is distributed under
   the GNU General Public License.

   See the README file in the top-level LAMMPS directory.
------------------------------------------------------------------------- */

/* ----------------------------------------------------------------------
   Contributing author: Axel Kohlmeyer (Temple U)
------------------------------------------------------------------------- */

#include <math.h>
#include "dihedral_fourier_omp.h"
#include "atom.h"
#include "comm.h"
#include "neighbor.h"
#include "domain.h"
#include "force.h"
#include "update.h"
#include "error.h"

#include "math_const.h"
#include "suffix.h"
using namespace LAMMPS_NS;
using namespace MathConst;

#define TOLERANCE 0.05

/* ---------------------------------------------------------------------- */

DihedralFourierOMP::DihedralFourierOMP(class LAMMPS *lmp)
  : DihedralFourier(lmp), ThrOMP(lmp,THR_DIHEDRAL)
{
  suffix_flag |= Suffix::OMP;
}

/* ---------------------------------------------------------------------- */

void DihedralFourierOMP::compute(int eflag, int vflag)
{

  if (eflag || vflag) {
    ev_setup(eflag,vflag);
  } else evflag = 0;

  const int nall = atom->nlocal + atom->nghost;
  const int nthreads = comm->nthreads;
  const int inum = neighbor->ndihedrallist;

#if defined(_OPENMP)
#pragma omp parallel default(none) shared(eflag,vflag)
#endif
  {
    int ifrom, ito, tid;

    loop_setup_thr(ifrom, ito, tid, inum, nthreads);
    ThrData *thr = fix->get_thr(tid);
    thr->timer(Timer::START);
    ev_setup_thr(eflag, vflag, nall, eatom, vatom, thr);

    if (inum > 0) {
      if (evflag) {
        if (eflag) {
          if (force->newton_bond) eval<1,1,1>(ifrom, ito, thr);
          else eval<1,1,0>(ifrom, ito, thr);
        } else {
          if (force->newton_bond) eval<1,0,1>(ifrom, ito, thr);
          else eval<1,0,0>(ifrom, ito, thr);
        }
      } else {
        if (force->newton_bond) eval<0,0,1>(ifrom, ito, thr);
        else eval<0,0,0>(ifrom, ito, thr);
      }
    }
    thr->timer(Timer::BOND);
    reduce_thr(this, eflag, vflag, thr);
  } // end of omp parallel region
}

template <int EVFLAG, int EFLAG, int NEWTON_BOND>
void DihedralFourierOMP::eval(int nfrom, int nto, ThrData * const thr)
{
  int i1,i2,i3,i4,i,j,m,n,type;
  double vb1x,vb1y,vb1z,vb2x,vb2y,vb2z,vb3x,vb3y,vb3z,vb2xm,vb2ym,vb2zm;
  double edihedral,f1[3],f2[3],f3[3],f4[3];
  double ax,ay,az,bx,by,bz,rasq,rbsq,rgsq,rg,rginv,ra2inv,rb2inv,rabinv;
  double df,df1_,ddf1_,fg,hg,fga,hgb,gaa,gbb;
  double dtfx,dtfy,dtfz,dtgx,dtgy,dtgz,dthx,dthy,dthz;
  double c,s,p_,sx2,sy2,sz2;

  edihedral = 0.0;

  const dbl3_t * _noalias const x = (dbl3_t *) atom->x[0];
  dbl3_t * _noalias const f = (dbl3_t *) thr->get_f()[0];
  const int5_t * _noalias const dihedrallist = (int5_t *) neighbor->dihedrallist[0];
  const int nlocal = atom->nlocal;

  for (n = nfrom; n < nto; n++) {
    i1 = dihedrallist[n].a;
    i2 = dihedrallist[n].b;
    i3 = dihedrallist[n].c;
    i4 = dihedrallist[n].d;
    type = dihedrallist[n].t;

    // 1st bond

    vb1x = x[i1].x - x[i2].x;
    vb1y = x[i1].y - x[i2].y;
    vb1z = x[i1].z - x[i2].z;

    // 2nd bond

    vb2x = x[i3].x - x[i2].x;
    vb2y = x[i3].y - x[i2].y;
    vb2z = x[i3].z - x[i2].z;

    vb2xm = -vb2x;
    vb2ym = -vb2y;
    vb2zm = -vb2z;

    // 3rd bond

    vb3x = x[i4].x - x[i3].x;
    vb3y = x[i4].y - x[i3].y;
    vb3z = x[i4].z - x[i3].z;

    ax = vb1y*vb2zm - vb1z*vb2ym;
    ay = vb1z*vb2xm - vb1x*vb2zm;
    az = vb1x*vb2ym - vb1y*vb2xm;
    bx = vb3y*vb2zm - vb3z*vb2ym;
    by = vb3z*vb2xm - vb3x*vb2zm;
    bz = vb3x*vb2ym - vb3y*vb2xm;

    rasq = ax*ax + ay*ay + az*az;
    rbsq = bx*bx + by*by + bz*bz;
    rgsq = vb2xm*vb2xm + vb2ym*vb2ym + vb2zm*vb2zm;
    rg = sqrt(rgsq);

    rginv = ra2inv = rb2inv = 0.0;
    if (rg > 0) rginv = 1.0/rg;
    if (rasq > 0) ra2inv = 1.0/rasq;
    if (rbsq > 0) rb2inv = 1.0/rbsq;
    rabinv = sqrt(ra2inv*rb2inv);

    c = (ax*bx + ay*by + az*bz)*rabinv;
    s = rg*rabinv*(ax*vb3x + ay*vb3y + az*vb3z);

    // error check

    if (c > 1.0 + TOLERANCE || c < (-1.0 - TOLERANCE)) {
      int me = comm->me;

      if (screen) {
        char str[128];
        sprintf(str,"Dihedral problem: %d/%d " BIGINT_FORMAT " "
                TAGINT_FORMAT " " TAGINT_FORMAT " "
                TAGINT_FORMAT " " TAGINT_FORMAT,
                me,thr->get_tid(),update->ntimestep,
                atom->tag[i1],atom->tag[i2],atom->tag[i3],atom->tag[i4]);
        error->warning(FLERR,str,0);
        fprintf(screen,"  1st atom: %d %g %g %g\n",
                me,x[i1].x,x[i1].y,x[i1].z);
        fprintf(screen,"  2nd atom: %d %g %g %g\n",
                me,x[i2].x,x[i2].y,x[i2].z);
        fprintf(screen,"  3rd atom: %d %g %g %g\n",
                me,x[i3].x,x[i3].y,x[i3].z);
        fprintf(screen,"  4th atom: %d %g %g %g\n",
                me,x[i4].x,x[i4].y,x[i4].z);
      }
    }

    if (c > 1.0) c = 1.0;
    if (c < -1.0) c = -1.0;

    // force and energy
    // p = sum(i=1,nterms) k_i*(1+cos(n_i*phi-d_i)
    // dp = dp / dphi
    edihedral = 0.0;
    df = 0.0;
    for (j=0; j<nterms[type]; j++) {
      m = multiplicity[type][j];
      p_ = 1.0;
      ddf1_ = df1_ = 0.0;

      for (i = 0; i < m; i++) {
        ddf1_ = p_*c - df1_*s;
        df1_ = p_*s + df1_*c;
        p_ = ddf1_;
      }

      p_ = p_*cos_shift[type][j] + df1_*sin_shift[type][j];
      df1_ = df1_*cos_shift[type][j] - ddf1_*sin_shift[type][j];
      df1_ *= -m;
      p_ += 1.0;

      if (m == 0) {
        p_ = 1.0 + cos_shift[type][j];
        df1_ = 0.0;
      }

      if (EFLAG) edihedral += k[type][j] * p_;

      df += (-k[type][j] * df1_);
    }

    fg = vb1x*vb2xm + vb1y*vb2ym + vb1z*vb2zm;
    hg = vb3x*vb2xm + vb3y*vb2ym + vb3z*vb2zm;
    fga = fg*ra2inv*rginv;
    hgb = hg*rb2inv*rginv;
    gaa = -ra2inv*rg;
    gbb = rb2inv*rg;

    dtfx = gaa*ax;
    dtfy = gaa*ay;
    dtfz = gaa*az;
    dtgx = fga*ax - hgb*bx;
    dtgy = fga*ay - hgb*by;
    dtgz = fga*az - hgb*bz;
    dthx = gbb*bx;
    dthy = gbb*by;
    dthz = gbb*bz;

    sx2 = df*dtgx;
    sy2 = df*dtgy;
    sz2 = df*dtgz;

    f1[0] = df*dtfx;
    f1[1] = df*dtfy;
    f1[2] = df*dtfz;

    f2[0] = sx2 - f1[0];
    f2[1] = sy2 - f1[1];
    f2[2] = sz2 - f1[2];

    f4[0] = df*dthx;
    f4[1] = df*dthy;
    f4[2] = df*dthz;

    f3[0] = -sx2 - f4[0];
    f3[1] = -sy2 - f4[1];
    f3[2] = -sz2 - f4[2];

    // apply force to each of 4 atoms

    if (NEWTON_BOND || i1 < nlocal) {
      f[i1].x += f1[0];
      f[i1].y += f1[1];
      f[i1].z += f1[2];
    }

    if (NEWTON_BOND || i2 < nlocal) {
      f[i2].x += f2[0];
      f[i2].y += f2[1];
      f[i2].z += f2[2];
    }

    if (NEWTON_BOND || i3 < nlocal) {
      f[i3].x += f3[0];
      f[i3].y += f3[1];
      f[i3].z += f3[2];
    }

    if (NEWTON_BOND || i4 < nlocal) {
      f[i4].x += f4[0];
      f[i4].y += f4[1];
      f[i4].z += f4[2];
    }

    if (EVFLAG)
      ev_tally_thr(this,i1,i2,i3,i4,nlocal,NEWTON_BOND,edihedral,f1,f3,f4,
                   vb1x,vb1y,vb1z,vb2x,vb2y,vb2z,vb3x,vb3y,vb3z,thr);
  }
}
