LCOV - code coverage report
Current view: top level - fisst - FISST.cpp (source / functions) Hit Total Coverage
Test: plumed test coverage Lines: 247 308 80.2 %
Date: 2024-10-11 08:09:47 Functions: 18 22 81.8 %

          Line data    Source code
       1             : /* +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
       2             : Copyright (c) 2020 of Glen Hocky
       3             : 
       4             : The FISST module is free software: you can redistribute it and/or modify
       5             : it under the terms of the GNU Lesser General Public License as published by
       6             : the Free Software Foundation, either version 3 of the License, or
       7             : (at your option) any later version.
       8             : 
       9             : The FISST module is distributed in the hope that it will be useful,
      10             : but WITHOUT ANY WARRANTY; without even the implied warranty of
      11             : MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
      12             : GNU Lesser General Public License for more details.
      13             : 
      14             : You should have received a copy of the GNU Lesser General Public License
      15             : along with plumed.  If not, see <http://www.gnu.org/licenses/>.
      16             : +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ */
      17             : #include "bias/Bias.h"
      18             : #include "core/ActionRegister.h"
      19             : #include "core/Atoms.h"
      20             : #include "core/PlumedMain.h"
      21             : #include "tools/File.h"
      22             : #include "tools/Matrix.h"
      23             : #include "tools/Random.h"
      24             : #include "legendre_rule_fast.h"
      25             : 
      26             : #include <iostream>
      27             : 
      28             : 
      29             : using namespace PLMD;
      30             : using namespace bias;
      31             : 
      32             : //namespace is lowercase to match
      33             : //module names being all lowercase
      34             : 
      35             : namespace PLMD {
      36             : namespace fisst {
      37             : 
      38             : //+PLUMEDOC FISSTMOD_BIAS FISST
      39             : /*
      40             : Compute and apply the optimal linear force on an observable to enhance sampling of conformational distributions over a range of applied forces.
      41             : 
      42             : This method is described in \cite Hartmann-FISST-2019
      43             : 
      44             : If the system's Hamiltonian is given by:
      45             : \f[
      46             :     H(\vec{p},\vec{q}) = \sum_{j} \frac{p_j^2}{2m_j} + U(\vec{q}),
      47             : \f]
      48             : 
      49             : This bias modifies the Hamiltonian to be:
      50             : \f[
      51             :   H'(\vec{p},\vec{q}) = H(\vec{p},\vec{q}) - \bar{F} Q
      52             : \f]
      53             : 
      54             : where for CV \f$Q\f$, a coupling constant \f${\bar{F}}\f$ is determined
      55             : adaptively according to the FISST algorithm.
      56             : 
      57             : Specifically,
      58             : \f[
      59             : \bar{F}(Q)=\frac{ \int_{F_{min}}^{F_{max}} e^{\beta F Q(\vec{q})} \omega(F) F dF}{\int_{F_{min}}^{F_{max}} e^{\beta F Q(\vec{q})} \omega(F) dF},
      60             : \f]
      61             : 
      62             : where \f$\vec{q}\f$ are the molecular coordinates of the system, and \f$w(F)\f$ is a weighting function that is learned on the fly for each force by the FISST algorithm (starting from an initial weight distribution, uniform by default).
      63             : 
      64             : The target for \f$w(F)=1/Z_q(F)\f$, where
      65             : \f[
      66             :     Z_q(F) \equiv \int d\vec{q} e^{-\beta U(\vec{q}) + \beta F Q(\vec{q})}.
      67             : \f]
      68             : 
      69             : FISST also computes and writes Observable Weights \f$W_F(\vec{q}_t)\f$ for a molecular configuration at time \f$t\f$, so that averages of other quantities \f$A(\vec{q})\f$ can be reconstructed later at different force values (over a trajectory with \f$T\f$ samples):
      70             : \f[
      71             :     \langle A \rangle_F = \frac{1}{T} \sum_t W_F(\vec{q}_t) A(\vec{q}_t).
      72             : \f]
      73             : 
      74             : 
      75             : \par Examples
      76             : 
      77             : In the following example, an adaptive restraint is learned to bias the distance between two atoms in a system, for a force range of 0-100 pN.
      78             : 
      79             : \plumedfile
      80             : UNITS LENGTH=A TIME=fs ENERGY=kcal/mol
      81             : 
      82             : b1: GROUP ATOMS=1
      83             : b2: GROUP ATOMS=12
      84             : 
      85             : dend: DISTANCE ATOMS=b1,b2
      86             : 
      87             : #The conversion factor is 69.4786 pN = 1 kcal/mol/Angstrom
      88             : 
      89             : #0 pN to 100 pN
      90             : f: FISST MIN_FORCE=0 MAX_FORCE=1.44 PERIOD=100 NINTERPOLATE=31 ARG=dend OUT_RESTART=pull.restart.txt OUT_OBSERVABLE=pull.observable.txt OBSERVABLE_FREQ=1000
      91             : 
      92             : PRINT ARG=dend,f.dend_fbar,f.bias,f.force2 FILE=pull.colvar.txt STRIDE=1000
      93             : \endplumedfile
      94             : 
      95             : 
      96             : */
      97             : //+ENDPLUMEDOC
      98             : 
      99             : 
     100             : class FISST : public Bias {
     101             : 
     102             : 
     103             : private:
     104             :   /*We will get this and store it once, since on-the-fly changing number of CVs will be fatal*/
     105             :   const unsigned int ncvs_;
     106             :   std::vector<double> center_;
     107             :   std::vector<double> current_avg_force_;
     108             : 
     109             :   std::vector<double> forces_;
     110             :   std::vector<double> force_weight_;
     111             :   std::vector<double> gauss_weight_;
     112             :   std::vector<double> partition_estimate_;
     113             :   std::vector<double> observable_weight_;
     114             : 
     115             :   std::string in_restart_name_;
     116             :   std::string out_restart_name_;
     117             :   std::string out_observable_name_;
     118             :   std::string fmt_;
     119             :   std::string initial_weight_dist_;
     120             :   OFile out_restart_;
     121             :   OFile out_observable_;
     122             :   IFile in_restart_;
     123             :   bool b_freeze_;
     124             :   bool b_adaptive_;
     125             :   bool b_restart_;
     126             :   bool b_write_restart_;
     127             :   bool b_write_observable_;
     128             :   bool b_first_restart_sample_;
     129             :   int period_;
     130             :   int reset_period_;
     131             :   int observable_freq_;
     132             :   int n_interpolation_;
     133             :   int n_samples_;
     134             :   double kbt_;
     135             :   double beta_;
     136             :   //change min_force and max_force to vectors if going to do more than one cv
     137             :   double max_force_;
     138             :   double min_force_;
     139             :   double initial_weight_rate_;
     140             :   double threshold_;
     141             :   Random rand_;
     142             : 
     143             : 
     144             :   Value* value_force2_;
     145             :   void readInRestart();
     146             :   void NormalizeForceWeights();
     147             :   /*setup output restart*/
     148             :   void setupOutRestart();
     149             :   void setupOutObservable();
     150             :   /*write output restart*/
     151             :   void writeOutRestart();
     152             :   void writeOutObservable();
     153             :   void update_statistics();
     154             :   void update_bias();
     155             :   void apply_bias();
     156             :   void compute_observable_weight();
     157             : 
     158             : public:
     159             :   explicit FISST(const ActionOptions&);
     160             :   void calculate();
     161             :   void update();
     162             :   void turnOnDerivatives();
     163             :   static void registerKeywords(Keywords& keys);
     164             :   ~FISST();
     165             : };
     166             : 
     167       10423 : PLUMED_REGISTER_ACTION(FISST,"FISST")
     168             : 
     169           3 : void FISST::registerKeywords(Keywords& keys) {
     170           3 :   Bias::registerKeywords(keys);
     171           3 :   keys.use("ARG");
     172           6 :   keys.add("compulsory","PERIOD","Steps corresponding to the learning rate");
     173           6 :   keys.add("optional","RESET_PERIOD","Reset the learning statistics every time this number of steps comes around.");
     174           6 :   keys.add("compulsory","NINTERPOLATE","Number of grid points on which to do interpolation.");
     175           6 :   keys.add("compulsory","MIN_FORCE","Minimum force (per CV) to use for sampling. Units: [Energy]/[CV]  (can be negative).");
     176           6 :   keys.add("compulsory","MAX_FORCE","Maximum force (per CV) to use for sampling.");
     177           6 :   keys.add("compulsory","CENTER","0","The CV value at which the applied bias energy will be zero");
     178           6 :   keys.add("optional","KBT","The system temperature in units of KB*T. If not provided will be taken from MD code (if available)");
     179             : 
     180           9 :   keys.add("optional","INITIAL_WEIGHT_DIST","Starting distribution for the force weights (options: UNIFORM, EXP, GAUSS).");
     181           9 :   keys.add("optional","INITIAL_WEIGHT_RATE","Rate of decay for exponential and gaussian distributions. W(F)~exp(-r |F|^d).");
     182             : 
     183           6 :   keys.add("optional","RESTART_FMT","the format that should be used to output real numbers in FISST restarts.");
     184           6 :   keys.add("optional","OUT_RESTART","Output file for all information needed to continue FISST simulation."
     185             :            "If you have the RESTART directive set (global or for FISST), this file will be appended to."
     186             :            "Note that the header will be printed again if appending.");
     187           6 :   keys.add("optional","IN_RESTART","Read this file to continue an FISST simulation. "
     188             :            "If same as OUT_RESTART and you have not set the RESTART directive, the file will be backed-up and overwritten with new output."
     189             :            "If you do have the RESTART flag set and it is the same name as OUT_RESTART, this file will be appended.");
     190           6 :   keys.add("optional","OUT_OBSERVABLE","Output file putting weights needed to compute observables at different force values."
     191             :            "If you have the RESTART directive set (global or for FISST), this file will be appended to. "
     192             :            "Note that the header will be printed again if appending.");
     193           6 :   keys.add("optional","OBSERVABLE_FREQ","How often to write out observable weights (default=period).");
     194           6 :   keys.addFlag("FREEZE",false,"Fix bias weights at current level (only used for restarting).");
     195           3 :   keys.use("RESTART");
     196           6 :   keys.addOutputComponent("force2","default","squared value of force from the bias.");
     197           6 :   keys.addOutputComponent("_fbar","default", "For each named CV biased, there will be a corresponding output CV_fbar storing the current linear bias prefactor.");
     198           3 : }
     199             : 
     200           2 : FISST::FISST(const ActionOptions&ao):
     201             :   PLUMED_BIAS_INIT(ao),
     202           2 :   ncvs_(getNumberOfArguments()),
     203           0 :   current_avg_force_(ncvs_,0.0),
     204           2 :   center_(ncvs_,0.0),
     205             :   //change min_force and max_force to vectors if going to do more than one cv
     206           2 :   min_force_(0.0),
     207           2 :   max_force_(0.0),
     208           2 :   in_restart_name_(""),
     209           2 :   out_restart_name_(""),
     210           2 :   out_observable_name_(""),
     211           2 :   fmt_("%e"),
     212           2 :   b_freeze_(false),
     213           2 :   b_restart_(false),
     214           2 :   b_write_restart_(false),
     215           2 :   b_write_observable_(false),
     216           2 :   b_first_restart_sample_(true),
     217           2 :   n_interpolation_(0),
     218           2 :   n_samples_(0),
     219           2 :   initial_weight_rate_(0),
     220           2 :   initial_weight_dist_("UNIFORM"),
     221           2 :   period_(0),
     222           2 :   reset_period_(0),
     223           2 :   observable_freq_(0),
     224           2 :   kbt_(0.0),
     225           6 :   value_force2_(NULL)
     226             : {
     227           2 :   if(ncvs_==0)
     228           0 :     error("Must specify at least one CV with ARG");
     229             : 
     230             :   //temporary
     231           2 :   if(ncvs_>1)
     232           0 :     error("FISST only supports using one CV right now");
     233             : 
     234           2 :   addComponent("force2");
     235           2 :   componentIsNotPeriodic("force2");
     236           2 :   value_force2_ = getPntrToComponent("force2");
     237             : 
     238           4 :   for(unsigned int i = 0; i<ncvs_; i++) {
     239           2 :     std::string comp = getPntrToArgument(i)->getName() + "_fbar";
     240           2 :     addComponent(comp);
     241           2 :     componentIsNotPeriodic(comp);
     242             :   }
     243             : 
     244           2 :   parseVector("CENTER",center_);
     245             :   //change min_force and max_force to vectors if going to do more than one cv
     246           2 :   parse("MIN_FORCE",min_force_);
     247           2 :   parse("MAX_FORCE",max_force_);
     248           2 :   parse("PERIOD",period_);
     249           2 :   parse("RESET_PERIOD",reset_period_);
     250           2 :   parse("INITIAL_WEIGHT_DIST",initial_weight_dist_);
     251           2 :   parse("INITIAL_WEIGHT_RATE",initial_weight_rate_);
     252           2 :   parse("OBSERVABLE_FREQ",observable_freq_);
     253           2 :   parse("NINTERPOLATE",n_interpolation_);
     254           2 :   parseFlag("FREEZE",b_freeze_);
     255           2 :   parse("KBT",kbt_);
     256           2 :   parse("RESTART_FMT", fmt_);
     257           2 :   fmt_ = " " + fmt_;//add space since parse strips them
     258           2 :   parse("OUT_RESTART",out_restart_name_);
     259           2 :   parse("OUT_OBSERVABLE",out_observable_name_);
     260           2 :   parse("IN_RESTART",in_restart_name_);
     261           2 :   checkRead();
     262             : 
     263           2 :   if(center_.size() != ncvs_)
     264           0 :     error("Must have same number of CENTER arguments as ARG arguments");
     265             : 
     266           2 :   if(in_restart_name_ != "") {
     267           0 :     b_restart_ = true;
     268           0 :     log.printf("  reading simulation information from file: %s\n",in_restart_name_.c_str());
     269           0 :     readInRestart();
     270             :   } else {
     271             : 
     272           2 :     if(! kbt_ > 0.0)
     273           2 :       kbt_ = plumed.getAtoms().getKbT();
     274             : 
     275             :     //in driver, this results in kbt of 0
     276           2 :     if(kbt_ == 0) {
     277           0 :       error("  Unable to determine valid kBT. "
     278             :             "Could be because you are runnning from driver or MD didn't give temperature.\n"
     279             :             "Consider setting temperature manually with the KBT keyword.");
     280             :     }
     281             : 
     282           2 :     log.printf("  kBT = %f\n",kbt_);
     283           2 :     log.printf("  Updating with a time scale of %i steps\n",period_);
     284             : 
     285           2 :     log.printf("  Using centers for CVs of:");
     286           4 :     for(unsigned int i = 0; i< ncvs_; i++) {
     287           2 :       log.printf(" %f ",center_[i]);
     288             :     }
     289           2 :     log.printf("\n");
     290           2 :     observable_weight_.resize(n_interpolation_);
     291          64 :     for(unsigned int i = 0; i<n_interpolation_; i++) observable_weight_[i] = 1.0;
     292             : 
     293           2 :     forces_.resize(n_interpolation_);
     294           2 :     force_weight_.resize(n_interpolation_);
     295             :     //using code from the MIST project
     296           2 :     gauss_weight_.resize(n_interpolation_);
     297           2 :     legendre_compute_glr(n_interpolation_, &forces_[0], &gauss_weight_[0]);
     298           2 :     rescale(min_force_, max_force_, n_interpolation_, &forces_[0], &gauss_weight_[0]);
     299             : 
     300           2 :     log.printf("Using weight distribution %s with rate %f\n",initial_weight_dist_.c_str(),initial_weight_rate_);
     301           2 :     if(initial_weight_dist_ == "UNIFORM" ) {
     302          32 :       for(unsigned int i = 0; i<n_interpolation_; i++) force_weight_[i] = 1.0;
     303             :     }
     304           1 :     else if (initial_weight_dist_ == "EXP" ) {
     305          32 :       for(unsigned int i = 0; i<n_interpolation_; i++) force_weight_[i] = exp(-fabs(forces_[i])*initial_weight_rate_);
     306             :     }
     307           0 :     else if (initial_weight_dist_ == "GAUSS" ) {
     308           0 :       for(unsigned int i = 0; i<n_interpolation_; i++) force_weight_[i] = exp(-pow(forces_[i],2)*initial_weight_rate_);
     309             :     }
     310             :     else {
     311           0 :       error("  Specified weight distribution is not from the allowed list.");
     312             : 
     313             :     }
     314             : 
     315           2 :     partition_estimate_.resize(n_interpolation_);
     316           2 :     NormalizeForceWeights();
     317             :     double sum = 0.0;
     318          64 :     for(unsigned int i = 0; i<n_interpolation_; i++) {
     319             :       //setting partition estimate as 1/w_i
     320          62 :       partition_estimate_[i] = 1/force_weight_[i];
     321          62 :       log.printf("force/gauss weight/force_weight: %i %f %f %f\n",i,forces_[i],gauss_weight_[i],force_weight_[i]);
     322          62 :       sum+=gauss_weight_[i]*force_weight_[i];
     323             :     }
     324           2 :     log.printf("--Sum_i w_i g_i: %f\n",sum);
     325             : 
     326             :   }
     327             : 
     328             :   //set inverse temperature
     329           2 :   beta_ = 1/kbt_;
     330             : 
     331           2 :   if(b_freeze_ && b_restart_) {
     332           0 :     log.printf("  freezing weights read in from the restart file\n");
     333             :   }
     334             : 
     335           2 :   if(out_restart_name_.length()>0) {
     336           2 :     log.printf("  writing restart information every %i steps to file %s with format %s\n",abs(period_),out_restart_name_.c_str(), fmt_.c_str());
     337           2 :     b_write_restart_ = true;
     338           2 :     setupOutRestart();
     339             :   }
     340           2 :   if(out_observable_name_.length()>0) {
     341           2 :     if(observable_freq_==0) observable_freq_ = period_;
     342           2 :     log.printf("  writing observable information every %i steps to file %s with format %s\n",observable_freq_,out_observable_name_.c_str(), fmt_.c_str());
     343           2 :     b_write_observable_ = true;
     344           2 :     setupOutObservable();
     345             :   }
     346             : 
     347             :   //add citation later:
     348             :   //log<<"  Bibliography "<<plumed.cite("")<<"\n";
     349           2 : }
     350             : 
     351          12 : void FISST::NormalizeForceWeights() {
     352             :   double denom = 0.0;
     353             : 
     354         384 :   for(unsigned i=0; i<n_interpolation_; i++)
     355         372 :     denom += gauss_weight_[i] * force_weight_[i];
     356             : 
     357         384 :   for(unsigned i=0; i<n_interpolation_; i++)
     358         372 :     force_weight_[i] /= denom;
     359          12 : }
     360             : 
     361           0 : void FISST::readInRestart() {
     362           0 :   in_restart_.open(in_restart_name_);
     363             : 
     364           0 :   if(in_restart_.FieldExist("kbt")) {
     365           0 :     in_restart_.scanField("kbt",kbt_);
     366           0 :   } else { error("No field 'kbt' in restart file"); }
     367           0 :   log.printf("  with kBT = %f\n",kbt_);
     368             : 
     369           0 :   if(in_restart_.FieldExist("period")) {
     370           0 :     in_restart_.scanField("period",period_);
     371           0 :   } else { error("No field 'period' in restart file"); }
     372           0 :   log.printf("  Updating every %i steps\n",period_);
     373             : 
     374             : //this one can be optional
     375           0 :   if(in_restart_.FieldExist("reset_period")) {
     376           0 :     in_restart_.scanField("reset_period",reset_period_);
     377             :   }
     378           0 :   log.printf("  Resetting statistics every %i steps\n",reset_period_);
     379             : 
     380           0 :   if(in_restart_.FieldExist("n_interpolation")) {
     381           0 :     in_restart_.scanField("n_interpolation",n_interpolation_);
     382           0 :   } else { error("No field 'n_interpolation' in restart file"); }
     383             : 
     384           0 :   if(in_restart_.FieldExist("min_force")) {
     385           0 :     in_restart_.scanField("min_force",min_force_);
     386           0 :   } else { error("No field 'min_force' in restart file"); }
     387           0 :   if(in_restart_.FieldExist("max_force")) {
     388           0 :     in_restart_.scanField("max_force",max_force_);
     389           0 :   } else { error("No field 'max_force' in restart file"); }
     390           0 :   log.printf("  with forces from min_force=%e to max_force=%e over %i bins\n",min_force_,max_force_,n_interpolation_);
     391             : 
     392             :   unsigned int N = 0;
     393             :   std::string cv_name;
     394             :   double tmp, time;
     395             : 
     396           0 :   while(in_restart_.scanField("time",time)) {
     397           0 :     in_restart_.scanField("nsamples",n_samples_);
     398             : 
     399           0 :     observable_weight_.resize(n_interpolation_);
     400           0 :     partition_estimate_.resize(n_interpolation_);
     401           0 :     force_weight_.resize(n_interpolation_);
     402           0 :     gauss_weight_.resize(n_interpolation_);
     403           0 :     forces_.resize(n_interpolation_);
     404             : 
     405           0 :     for(unsigned int i = 0; i<ncvs_; ++i) {
     406             :       cv_name = getPntrToArgument(i)->getName();
     407           0 :       in_restart_.scanField(cv_name,tmp);
     408           0 :       for(unsigned int j =0; j<n_interpolation_; ++j) {
     409           0 :         in_restart_.scanField(cv_name + "_f"+std::to_string(j),forces_[j]);
     410           0 :         in_restart_.scanField(cv_name + "_g"+std::to_string(j),gauss_weight_[j]);
     411           0 :         in_restart_.scanField(cv_name + "_w"+std::to_string(j),force_weight_[j]);
     412           0 :         in_restart_.scanField(cv_name + "_z"+std::to_string(j),partition_estimate_[j]);
     413             :       }
     414             :     }
     415             :     N++;
     416             : 
     417           0 :     in_restart_.scanField();
     418             :   }
     419             : 
     420             :   double sum = 0.0;
     421           0 :   for(unsigned int j =0; j<n_interpolation_; ++j) {
     422             :     //clear observable weight, which will be set later
     423           0 :     observable_weight_[j] = 1.0;
     424             : 
     425             :     //setting partition estimate as 1/w_i
     426           0 :     log.printf("force/gauss weight/force_weight: %i %e %e %e\n",j,forces_[j],gauss_weight_[j],force_weight_[j]);
     427           0 :     sum+=gauss_weight_[j]*force_weight_[j];
     428             :   }
     429           0 :   log.printf("--Sum_i w_i g_i: %f\n",sum);
     430             : 
     431           0 :   in_restart_.close();
     432           0 : }
     433             : 
     434           2 : void FISST::setupOutObservable() {
     435           2 :   out_observable_.link(*this);
     436           2 :   out_observable_.fmtField(fmt_);
     437           2 :   out_observable_.open(out_observable_name_);
     438             :   out_observable_.setHeavyFlush();
     439             : 
     440           4 :   out_observable_.addConstantField("kbt").printField("kbt",kbt_);
     441           4 :   out_observable_.addConstantField("n_interpolation").printField("n_interpolation",n_interpolation_);
     442           4 :   out_observable_.addConstantField("period").printField("period",period_);
     443           4 :   out_observable_.addConstantField("min_force").printField("min_force",min_force_);
     444           4 :   out_observable_.addConstantField("max_force").printField("max_force",max_force_);
     445           2 : }
     446             : 
     447           2 : void FISST::setupOutRestart() {
     448           2 :   out_restart_.link(*this);
     449           2 :   out_restart_.fmtField(fmt_);
     450           2 :   out_restart_.open(out_restart_name_);
     451             :   out_restart_.setHeavyFlush();
     452             : 
     453           4 :   out_restart_.addConstantField("kbt").printField("kbt",kbt_);
     454           4 :   out_restart_.addConstantField("n_interpolation").printField("n_interpolation",n_interpolation_);
     455           4 :   out_restart_.addConstantField("period").printField("period",period_);
     456           2 :   if(reset_period_>0) out_restart_.addConstantField("reset_period").printField("reset_period",reset_period_);
     457           4 :   out_restart_.addConstantField("min_force").printField("min_force",min_force_);
     458           4 :   out_restart_.addConstantField("max_force").printField("max_force",max_force_);
     459           2 : }
     460             : 
     461          10 : void FISST::writeOutRestart() {
     462             :   std::string cv_name;
     463          10 :   out_restart_.printField("time",getTimeStep()*getStep());
     464          10 :   out_restart_.printField("nsamples",n_samples_);
     465             : 
     466          20 :   for(unsigned int i = 0; i<ncvs_; ++i) {
     467             :     cv_name = getPntrToArgument(i)->getName();
     468          10 :     double Q_i = difference(i, center_[i], getArgument(i));
     469          10 :     out_restart_.printField(cv_name,Q_i);
     470         320 :     for(int j = 0; j < n_interpolation_; j++ ) {
     471             : //have to update this for multiple cvs
     472         620 :       out_restart_.printField(cv_name + "_f"+std::to_string(j),forces_[j]);
     473         620 :       out_restart_.printField(cv_name + "_g"+std::to_string(j),gauss_weight_[j]);
     474         620 :       out_restart_.printField(cv_name + "_w"+std::to_string(j),force_weight_[j]);
     475         620 :       out_restart_.printField(cv_name + "_z"+std::to_string(j),partition_estimate_[j]);
     476             :     }
     477             :   }
     478          10 :   out_restart_.printField();
     479          10 : }
     480             : 
     481          10 : void FISST::writeOutObservable() {
     482             :   std::string cv_name;
     483          10 :   out_observable_.printField("time",getTimeStep()*getStep());
     484          10 :   out_observable_.printField("nsamples",n_samples_);
     485             : 
     486          20 :   for(unsigned int i = 0; i<ncvs_; ++i) {
     487             :     cv_name = getPntrToArgument(i)->getName();
     488          10 :     double Q_i = difference(i, center_[i], getArgument(i));
     489          10 :     out_observable_.printField(cv_name,Q_i);
     490          10 :     out_observable_.printField(cv_name + "_fbar",current_avg_force_[i]);
     491         320 :     for(int j = 0; j < n_interpolation_; j++ ) {
     492             : //have to update this for multiple cvs
     493         620 :       out_observable_.printField(cv_name + "_f"+std::to_string(j),forces_[j]);
     494         620 :       out_observable_.printField(cv_name + "_ow"+std::to_string(j),observable_weight_[j]);
     495             :     }
     496             :   }
     497          10 :   out_observable_.printField();
     498          10 : }
     499             : 
     500             : 
     501          10 : void FISST::calculate() {
     502          10 :   if(getStep() == 0 ) {
     503           2 :     if(b_write_restart_) writeOutRestart();
     504           2 :     if(b_write_observable_) writeOutObservable();
     505             :   }
     506             : 
     507          10 :   if(! b_freeze_) {
     508          10 :     if(b_restart_ && b_first_restart_sample_) {
     509             :       //dont' update statistics if restarting and first sample
     510           0 :       b_first_restart_sample_ = false;
     511             :     }
     512             :     else {
     513          10 :       update_statistics();
     514             :     }
     515             :   }
     516          10 :   update_bias();
     517          10 :   apply_bias();
     518             : 
     519             :   //check about writing restart file
     520          10 :   if(getStep()>0 && getStep()%period_==0) {
     521           8 :     if(b_write_restart_) writeOutRestart();
     522             :   }
     523          10 :   if(getStep()>0 && getStep()%observable_freq_==0) {
     524           8 :     if(b_write_observable_) {
     525           8 :       compute_observable_weight();
     526           8 :       writeOutObservable();
     527             :     }
     528             :   }
     529          10 : }
     530             : 
     531             : 
     532          10 : void FISST::apply_bias() {
     533             :   //Compute linear force as in "restraint"
     534             :   double ene = 0, totf2 = 0, cv, m, f;
     535             : 
     536          20 :   for(unsigned int i = 0; i < ncvs_; ++i) {
     537          10 :     cv = difference(i, center_[i], getArgument(i));
     538          10 :     double fbar = current_avg_force_[i];
     539          10 :     ene -= fbar*cv;
     540             :     setOutputForce(i,fbar);
     541          10 :     totf2 += fbar*fbar;
     542             : 
     543          10 :     std::string fbar_name_ = getPntrToArgument(i)->getName() + "_fbar";
     544          10 :     Value* fbar_ = getPntrToComponent(fbar_name_);
     545             :     fbar_->set(fbar);
     546             :   };
     547             : 
     548             :   setBias(ene);
     549          10 :   value_force2_->set(totf2);
     550             :   //log.flush();
     551          10 : }
     552             : 
     553          10 : void FISST::update_statistics()  {
     554             : //get stride is for multiple time stepping
     555          10 :   double dt=getTimeStep()*getStride();
     556          10 :   double h = dt/(period_*getTimeStep());
     557             :   double fbar_denum_integral = 0.0;
     558             : 
     559          10 :   int step = getStep();
     560          10 :   if(reset_period_>0 && step>0 && step%reset_period_==0) {
     561           0 :     n_samples_=1;
     562             :   }
     563             :   else {
     564          10 :     n_samples_++;
     565             :   }
     566          10 :   double d_n_samples = (double)n_samples_;
     567             : 
     568          20 :   for(unsigned int i = 0; i < ncvs_; ++i) {
     569          10 :     double Q_i = difference(i, center_[i], getArgument(i));
     570         320 :     for(unsigned int j=0; j<n_interpolation_; j++)
     571             :     {
     572             :       //if multiple cvs, these need to be updated to have 2 columns
     573         310 :       double f_j = forces_[j];
     574         310 :       double w_j = force_weight_[j];
     575         310 :       double g_j = gauss_weight_[j];
     576             : 
     577         310 :       fbar_denum_integral += g_j * w_j * exp(beta_*f_j * Q_i);
     578             :     }
     579             : 
     580         320 :     for(unsigned int j=0; j<n_interpolation_; j++)
     581             :     {
     582         310 :       double f_j = forces_[j];
     583         310 :       double sample_weight = exp(beta_*f_j * Q_i) / fbar_denum_integral;
     584             : 
     585         310 :       partition_estimate_[j] = sample_weight/d_n_samples + partition_estimate_[j]*(d_n_samples-1)/(d_n_samples);
     586             : 
     587         310 :       double w_jn = force_weight_[j];
     588         310 :       double z_jn = partition_estimate_[j];
     589             : 
     590         310 :       double w_jp1 = (1.0 - h) * w_jn + h / z_jn;
     591         310 :       force_weight_[j] = w_jp1;
     592             :     }
     593             :   }
     594             : 
     595             :   // make sure that the weights are normalised
     596          10 :   NormalizeForceWeights();
     597          10 : }
     598             : 
     599             : 
     600          10 : void FISST::update_bias()
     601             : {
     602          20 :   for(unsigned int i = 0; i < ncvs_; ++i) {
     603          10 :     double Q_i = difference(i, center_[i], getArgument(i));
     604             :     double fbar_num_integral = 0.0;
     605             :     double fbar_denum_integral = 0.0;
     606             : 
     607         320 :     for(unsigned int j=0; j<n_interpolation_; j++ ) {
     608         310 :       double f_j = forces_[j];
     609         310 :       double w_j = force_weight_[j];
     610         310 :       double g_j = gauss_weight_[j];
     611             : 
     612         310 :       fbar_num_integral += g_j * f_j * w_j * exp(beta_*f_j*Q_i);
     613         310 :       fbar_denum_integral += g_j * w_j * exp(beta_*f_j*Q_i);
     614             :     }
     615             : 
     616          10 :     current_avg_force_[i] = fbar_num_integral/fbar_denum_integral;
     617             :   }
     618          10 : }
     619             : 
     620           8 : void FISST::compute_observable_weight() {
     621           8 :   double obs_num = (max_force_ - min_force_);
     622             : 
     623          16 :   for(unsigned int i = 0; i < ncvs_; ++i) {
     624           8 :     double Q_i = difference(i, center_[i], getArgument(i));
     625             : 
     626         256 :     for(unsigned int j=0; j<n_interpolation_; j++ ) {
     627         248 :       double z_j = partition_estimate_[j];
     628         248 :       double f_j = forces_[j];
     629             :       double denum_integral = 0.0;
     630             : 
     631        7936 :       for( unsigned int k=0; k<n_interpolation_; k++ ) {
     632        7688 :         double f_k = forces_[k];
     633        7688 :         double w_k = force_weight_[k];
     634        7688 :         double g_k = gauss_weight_[k];
     635             : 
     636        7688 :         denum_integral += g_k * w_k * exp(beta_*(f_k-f_j)*Q_i);
     637             :       }
     638         248 :       observable_weight_[j] = obs_num/(denum_integral*z_j);
     639             :     }
     640             :   }
     641           8 : }
     642             : 
     643             : 
     644             : 
     645          10 : void FISST::update() {
     646             :   //pass
     647          10 : }
     648             : 
     649           4 : FISST::~FISST() {
     650           2 :   out_restart_.close();
     651           2 :   out_observable_.close();
     652           6 : }
     653             : 
     654           0 : void FISST::turnOnDerivatives() {
     655             :   // do nothing
     656             :   // this is to avoid errors triggered when a bias is used as a CV
     657             :   // (This is done in ExtendedLagrangian.cpp)
     658           0 : }
     659             : 
     660             : 
     661             : }
     662             : }//close the 2 namespaces

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