/* ----------------------------------------------------------------------
   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: Paul Crozier (SNL)
------------------------------------------------------------------------- */

#include "string.h"
#include "stdlib.h"
#include "fix_tune_kspace.h"
#include "update.h"
#include "domain.h"
#include "atom.h"
#include "comm.h"
#include "force.h"
#include "kspace.h"
#include "pair.h"
#include "error.h"
#include "memory.h"
#include "timer.h"
#include "neighbor.h"
#include "modify.h"
#include "compute.h"
#include <iostream>
#include <cmath>
#include <limits>
#define SWAP(a,b) {temp=(a);(a)=(b);(b)=temp;}
#define SIGN(a,b) ((b) >= 0.0 ? fabs(a) : -fabs(a))
#define GOLD 1.618034

using namespace std;
using namespace LAMMPS_NS;
using namespace FixConst;

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

FixTuneKspace::FixTuneKspace(LAMMPS *lmp, int narg, char **arg) :
  Fix(lmp, narg, arg)
{
  if (narg < 3) error->all(FLERR,"Illegal fix tune/kspace command");

  global_freq = 1;
  firststep = 0;
  niter = 0;
  niter_adjust_rcut = 0;
  keep_bracketing = true;
  first_brent_pass = true;
  converged = false;
  need_fd2_brent = false;

  ewald_time = pppm_time = msm_time = 0.0;

  // parse arguments

  nevery = force->inumeric(FLERR,arg[3]);

  // set up reneighboring

  force_reneighbor = 1;
  next_reneighbor = update->ntimestep + 1;
}

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

int FixTuneKspace::setmask()
{
  int mask = 0;
  mask |= PRE_EXCHANGE;
  mask |= PRE_NEIGHBOR;
  return mask;
}

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

void FixTuneKspace::init()
{
  if (!force->kspace) 
    error->all(FLERR,"Cannot use fix tune/kspace without a kspace style");
  if (!force->pair) 
    error->all(FLERR,"Cannot use fix tune/kspace without a pair style");

  double old_acc = force->kspace->accuracy/force->kspace->two_charge_force;
  char old_acc_str[12];
  sprintf(old_acc_str,"%g",old_acc);
  strcpy(new_acc_str,old_acc_str);

  int itmp;
  double *p_cutoff = (double *) force->pair->extract("cut_coul",itmp);
  pair_cut_coul = *p_cutoff;
}

/* ----------------------------------------------------------------------
   perform dynamic kspace parameter optimization
------------------------------------------------------------------------- */

void FixTuneKspace::pre_exchange()
{
  if (!nevery) return;
  if (!force->kspace) return;
  if (!force->pair) return;
  if (next_reneighbor != update->ntimestep) return;
  next_reneighbor = update->ntimestep + nevery;

  double time = get_timing_info();

  if (strcmp(force->kspace_style,"ewald") == 0) ewald_time = time;
  if (strcmp(force->kspace_style,"pppm") == 0) pppm_time = time;
  if (strcmp(force->kspace_style,"msm") == 0) msm_time = time;

  niter++;
  if (niter == 1) {
    // test Ewald
    store_old_kspace_settings();
    strcpy(new_kspace_style,"ewald");
    sprintf(new_pair_style,"%s/long",base_pair_style);
    update_pair_style(new_pair_style,pair_cut_coul);
    update_kspace_style(new_kspace_style,new_acc_str);
  } else if (niter == 2) {
    // test PPPM
    store_old_kspace_settings();
    strcpy(new_kspace_style,"pppm");
    sprintf(new_pair_style,"%s/long",base_pair_style);
    update_pair_style(new_pair_style,pair_cut_coul);
    update_kspace_style(new_kspace_style,new_acc_str);
  } else if (niter == 3) {
    // test MSM
    store_old_kspace_settings();
    strcpy(new_kspace_style,"msm");
    sprintf(new_pair_style,"%s/msm",base_pair_style);
    update_pair_style(new_pair_style,pair_cut_coul);
    update_kspace_style(new_kspace_style,new_acc_str);
  } else if (niter == 4) {
    store_old_kspace_settings();
    cout << "ewald_time = " << ewald_time << endl;
    cout << "pppm_time = " << pppm_time << endl;
    cout << "msm_time = " << msm_time << endl;
    // switch to fastest one
    strcpy(new_kspace_style,"ewald");
    sprintf(new_pair_style,"%s/long",base_pair_style);
    if (pppm_time < ewald_time && pppm_time < msm_time)
      strcpy(new_kspace_style,"pppm");
    else if (msm_time < pppm_time && msm_time < ewald_time) {
      strcpy(new_kspace_style,"msm");
      sprintf(new_pair_style,"%s/msm",base_pair_style);
    }
    update_pair_style(new_pair_style,pair_cut_coul);
    update_kspace_style(new_kspace_style,new_acc_str);
  } else {
    adjust_rcut(time);
  }

  last_spcpu = timer->elapsed(TIME_LOOP);
}

/* ----------------------------------------------------------------------
   figure out CPU time per timestep since last time checked
------------------------------------------------------------------------- */

double FixTuneKspace::get_timing_info()
{
  double dvalue;
  double new_cpu;
  int new_step = update->ntimestep;

  if (firststep == 0) {
    new_cpu = 0.0;
    dvalue = 0.0;
    firststep = 1;
  } else {
    new_cpu = timer->elapsed(TIME_LOOP);
    double cpu_diff = new_cpu - last_spcpu;
    int step_diff = new_step - last_step;
    if (step_diff > 0.0) dvalue = cpu_diff/step_diff;
    else dvalue = 0.0;
  }

  last_step = new_step;
  last_spcpu = new_cpu;

  return dvalue;
}

/* ----------------------------------------------------------------------
   store old kspace settings: style, accuracy, order, etc
------------------------------------------------------------------------- */

void FixTuneKspace::store_old_kspace_settings()
{
  int n = strlen(force->kspace_style) + 1;
  char *old_kspace_style = new char[n];
  strcpy(old_kspace_style,force->kspace_style);
  strcpy(new_kspace_style,old_kspace_style);
  double old_acc = force->kspace->accuracy_relative;
  char old_acc_str[12];
  sprintf(old_acc_str,"%g",old_acc);
  strcpy(new_pair_style,force->pair_style);
  strcpy(base_pair_style,force->pair_style);
  char *trunc;
  if ((trunc = strstr(base_pair_style, "/long")) != NULL) *trunc = '\0';
  if ((trunc = strstr(base_pair_style, "/msm" )) != NULL) *trunc = '\0';

  old_differentiation_flag = force->kspace->differentiation_flag;
  old_slabflag = force->kspace->slabflag;
  old_slab_volfactor = force->kspace->slab_volfactor;
}

/* ----------------------------------------------------------------------
   update the pair style if necessary, preserving the settings
------------------------------------------------------------------------- */

void FixTuneKspace::update_pair_style(char *new_pair_style, double pair_cut_coul)
{
  int itmp;
  double *p_cutoff = (double *) force->pair->extract("cut_coul",itmp);
  *p_cutoff = pair_cut_coul;

  // check to see if we need to change pair styles
  if (strcmp(new_pair_style,force->pair_style) == 0) return;

  // create a temporary file to store current pair settings
  FILE *p_pair_settings_file;
  p_pair_settings_file = tmpfile();
  force->pair->write_restart(p_pair_settings_file);
  rewind(p_pair_settings_file);

  cout << "Creating new pair style: " << new_pair_style << endl;
  // delete old pair style and create new one
  force->create_pair(new_pair_style,lmp->suffix);

  // restore current pair settings from temporary file
  force->pair->read_restart(p_pair_settings_file);

  double *pcutoff = (double *) force->pair->extract("cut_coul",itmp);
  double current_cutoff = *pcutoff;
  cout << "Coulomb cutoff for real space: " << current_cutoff << endl;

  // close temporary file
  fclose(p_pair_settings_file);
}

/* ----------------------------------------------------------------------
   update the kspace style if necessary
------------------------------------------------------------------------- */

void FixTuneKspace::update_kspace_style(char *new_kspace_style, char *new_acc_str)
{
  // create kspace style char string

  int narg = 2;
  char **arg;
  arg = NULL;
  int maxarg = 100;
  arg = (char **) memory->srealloc(arg,maxarg*sizeof(char *),"tune/kspace:arg");
  int n = 12;
  arg[0] = new char[n];
  strcpy(arg[0],new_kspace_style);
  arg[1] = new char[n];
  strcpy(arg[1],new_acc_str);

  // delete old kspace style and create new one

  force->create_kspace(narg,arg,lmp->suffix);

  force->kspace->differentiation_flag = old_differentiation_flag;
  force->kspace->slabflag = old_slabflag;
  force->kspace->slab_volfactor = old_slab_volfactor;

  // initialize new kspace style, pair style, molecular styles

  force->init();

  // set up grid
  force->kspace->setup_grid();

  // Re-init neighbor list. Probably only needed when redefining the pair style. Should happen after pair->init() to get pair style neighbor list request registered

  neighbor->init();

  // Re-init computes to update pointers to virials, etc.

  for (int i = 0; i < modify->ncompute; i++) modify->compute[i]->init();

  memory->sfree(arg);
}

/* ----------------------------------------------------------------------
   find the optimal real space coulomb cutoff
------------------------------------------------------------------------- */

void FixTuneKspace::adjust_rcut(double time)
{
  if (strcmp(force->kspace_style,"msm") == 0) return;
  if (converged) return;

  double temp;
  const double TINY = 1.0e-20;

  // get the current cutoff
  int itmp;
  double *p_cutoff = (double *) force->pair->extract("cut_coul",itmp);
  double current_cutoff = *p_cutoff;
  cout << "Old Coulomb cutoff for real space: " << current_cutoff << endl;

  // use Brent's method from Numerical Recipes to find optimal real space cutoff

  // first time through, get ax_brent and fa_brent, and adjust cutoff
  if (keep_bracketing) {
    if (niter_adjust_rcut == 0) {
      pair_cut_coul /= 2;
    } else if (niter_adjust_rcut == 1) {
      ax_brent = current_cutoff;
      fa_brent = time;
      pair_cut_coul *= 2;

    // second time through, get bx_brent and fb_brent, and adjust cutoff
    } else if (niter_adjust_rcut == 2) {
      bx_brent = current_cutoff;
      fb_brent = time;
      if (fb_brent > fa_brent) {
        SWAP(ax_brent,bx_brent);
        SWAP(fb_brent,fa_brent);
        pair_cut_coul /= 4;
      } else {
        pair_cut_coul *= 2;
      }

    // third time through, get cx_brent and fc_brent, and adjust cutoff if needed
    } else if (niter_adjust_rcut == 3) {
      cx_brent = current_cutoff;
      fc_brent = time;
      if (fc_brent > fb_brent) keep_bracketing = false;
      else {
        double r = (bx_brent - ax_brent)*(fb_brent - fc_brent);
        double q = (bx_brent - cx_brent)*(fb_brent - fa_brent);
        dx_brent = bx_brent - ((bx_brent - cx_brent)*q - (bx_brent - ax_brent)*r)/
         (2.0*SIGN(MAX(fabs(q - r),TINY),q - r));
        pair_cut_coul = dx_brent;
      }

    // after third time through, bracket the minimum, and adjust cutoff
    } else if (niter_adjust_rcut > 3) {
      dx_brent = current_cutoff;
      if (need_fd2_brent) fd2_brent = time;
      else fd_brent = time;
      mnbrak();
      pair_cut_coul = dx_brent;
    }
  }

  if (!keep_bracketing) {
    dx_brent = current_cutoff;
    fd_brent = time;
    if (first_brent_pass) brent0();
    else brent2();
    brent1();
    pair_cut_coul = dx_brent;
  }

  niter_adjust_rcut++;

  if (pair_cut_coul <= 0.0) pair_cut_coul = fabs(MIN(ax_brent,MIN(bx_brent,(MIN(cx_brent,dx_brent))))/2.0) + TINY;

  if (pair_cut_coul != pair_cut_coul)
    error->all(FLERR,"Bad real space Coulomb cutoff in fix tune/kspace");

  // change the cutoff to pair_cut_coul
  *p_cutoff = pair_cut_coul;

  // report the new cutoff
  double *new_cutoff = (double *) force->pair->extract("cut_coul",itmp);
  current_cutoff = *new_cutoff;
  cout << "Adjusted Coulomb cutoff for real space: " << current_cutoff << endl;

  store_old_kspace_settings();
  update_pair_style(new_pair_style,pair_cut_coul);
  update_kspace_style(new_kspace_style,new_acc_str);
}

/* ----------------------------------------------------------------------
   bracket a minimum using parabolic extrapolation
------------------------------------------------------------------------- */

void FixTuneKspace::mnbrak()
{
  const double GLIMIT = 100.0, TINY = 1.0e-20;
  double temp,r,q;
  r = (bx_brent - ax_brent)*(fb_brent - fc_brent);
  q = (bx_brent - cx_brent)*(fb_brent - fa_brent);
  dx_brent = bx_brent - ((bx_brent - cx_brent)*q - (bx_brent - ax_brent)*r)/
   (2.0*SIGN(MAX(fabs(q - r),TINY),q - r));
  dxlim = bx_brent + GLIMIT*(cx_brent - bx_brent);

  if ((bx_brent - dx_brent)*(dx_brent - cx_brent) > 0.0) {
    if (fd_brent < fc_brent) {
      ax_brent = bx_brent;
      bx_brent = dx_brent;
      fa_brent = fb_brent;
      fb_brent = fd_brent;
      keep_bracketing = false;
      return;
    } else if (fd_brent > fb_brent) {
      cx_brent = dx_brent;
      fc_brent = fd_brent;
      keep_bracketing = false;
      return;
    }
    dx_brent = cx_brent + GOLD*(cx_brent - bx_brent);
    if (need_fd2_brent) {
      fd_brent = fd2_brent;
      need_fd2_brent = false;
    } else {
      need_fd2_brent = true;
      return;
    }
  } else if ((cx_brent - dx_brent)*(dx_brent - dxlim) > 0.0) {
    if (fd_brent < fc_brent) {
      if (need_fd2_brent) {
        need_fd2_brent = false;
      } else {
        need_fd2_brent = true;
        dx_brent += GOLD*(dx_brent - cx_brent);
        return;
      }
      shft3(bx_brent,cx_brent,dx_brent,dx_brent + GOLD*(dx_brent - cx_brent));
      shft3(fb_brent,fc_brent,fd_brent,fd2_brent);
    }
  } else if ((dx_brent - dxlim)*(dxlim - cx_brent) >= 0.0) {
    dx_brent = dxlim;
    if (need_fd2_brent) {
      fd_brent = fd2_brent;
      need_fd2_brent = false;
    } else {
      need_fd2_brent = true;
      return;
    }
  } else {
    dx_brent = cx_brent + GOLD*(cx_brent - bx_brent);
    if (need_fd2_brent) {
      fd_brent = fd2_brent;
      need_fd2_brent = false;
    } else {
      need_fd2_brent = true;
      return;
    }
  }
  shft3(ax_brent,bx_brent,cx_brent,dx_brent);
  shft3(fa_brent,fb_brent,fc_brent,fd_brent);
}

/* ----------------------------------------------------------------------
   Brent's method from Numerical Recipes
------------------------------------------------------------------------- */

void FixTuneKspace::brent0()
{
  a_brent=(ax_brent < cx_brent ? ax_brent : cx_brent);
  b_brent=(ax_brent > cx_brent ? ax_brent : cx_brent);
  x_brent=w_brent=v_brent=bx_brent;
  fw_brent=fv_brent=fx_brent=fb_brent;
}

/* ----------------------------------------------------------------------
   Brent's method from Numerical Recipes
------------------------------------------------------------------------- */

void FixTuneKspace::brent1()
{
  const int ITMAX=100;
  const double CGOLD=0.3819660;
  const double ZEPS=numeric_limits<double>::epsilon()*1.0e-3;
  double d=0.0,etemp;
  double p,q,r,tol1,tol2,xm;
  double e=0.0;
  double tol=0.001;

  xm=0.5*(a_brent+b_brent);
  tol2=2.0*(tol1=tol*fabs(x_brent)+ZEPS);
  if (fabs(x_brent-xm) <= (tol2-0.5*(b_brent-a_brent))) {
    converged = true;
    dx_brent = x_brent;
    return;
  }
  if (fabs(e) > tol1) {
    r=(x_brent-w_brent)*(fx_brent-fv_brent);
    q=(x_brent-v_brent)*(fx_brent-fw_brent);
    p=(x_brent-v_brent)*q-(x_brent-w_brent)*r;
    q=2.0*(q-r);
    if (q > 0.0) p = -p;
    q=fabs(q);
    etemp=e;
    e=d;
    if (fabs(p) >= fabs(0.5*q*etemp) || p <= q*(a_brent-x_brent) || p >= q*(b_brent-x_brent))
      d=CGOLD*(e=(x_brent >= xm ? a_brent-x_brent : b_brent-x_brent));
    else {
      d=p/q;
      dx_brent=x_brent+d;
      if (dx_brent-a_brent < tol2 || b_brent-dx_brent < tol2)
        d=SIGN(tol1,xm-x_brent);
    }
  } else {
    d=CGOLD*(e=(x_brent >= xm ? a_brent-x_brent : b_brent-x_brent));
  }
  dx_brent=(fabs(d) >= tol1 ? x_brent+d : x_brent+SIGN(tol1,d));

  first_brent_pass = false;

  return;
}

/* ----------------------------------------------------------------------
   Brent's method from Numerical Recipes
------------------------------------------------------------------------- */

void FixTuneKspace::brent2()
{
  if (fd_brent <= fx_brent) {
    if (dx_brent >= x_brent) a_brent=x_brent; else b_brent=x_brent;
    shft3(v_brent,w_brent,x_brent,dx_brent);
    shft3(fv_brent,fw_brent,fx_brent,fd_brent);
  } else {
    if (dx_brent < x_brent) a_brent=dx_brent; else b_brent=dx_brent;
    if (fd_brent <= fw_brent || w_brent == x_brent) {
      v_brent=w_brent;
      w_brent=dx_brent;
      fv_brent=fw_brent;
      fw_brent=fd_brent;
    } else if (fd_brent <= fv_brent || v_brent == x_brent || v_brent == w_brent) {
      v_brent=dx_brent;
      fv_brent=fd_brent;
    }
  }
}

