LCOV - code coverage report
Current view: top level - fisst - FISST.cpp (source / functions) Hit Total Coverage
Test: plumed test coverage Lines: 256 318 80.5 %
Date: 2026-11-05 10:19:04 Functions: 15 19 78.9 %

          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 "tools/File.h"
      20             : #include "tools/Matrix.h"
      21             : #include "tools/Random.h"
      22             : #include "legendre_rule_fast.h"
      23             : 
      24             : #include <iostream>
      25             : 
      26             : 
      27             : using namespace PLMD;
      28             : using namespace bias;
      29             : 
      30             : //namespace is lowercase to match
      31             : //module names being all lowercase
      32             : 
      33             : namespace PLMD {
      34             : namespace fisst {
      35             : 
      36             : //+PLUMEDOC BIAS FISST
      37             : /*
      38             : Compute and apply the optimal linear force on an observable to enhance sampling of conformational distributions over a range of applied forces.
      39             : 
      40             : This method is described in the paper cited below
      41             : 
      42             : If the system's Hamiltonian is given by:
      43             : 
      44             : $$
      45             :     H(\vec{p},\vec{q}) = \sum_{j} \frac{p_j^2}{2m_j} + U(\vec{q}),
      46             : $$
      47             : 
      48             : This bias modifies the Hamiltonian to be:
      49             : 
      50             : $$
      51             :   H'(\vec{p},\vec{q}) = H(\vec{p},\vec{q}) - \bar{F} Q
      52             : $$
      53             : 
      54             : where for CV $Q$, a coupling constant ${\bar{F}}$ is determined
      55             : adaptively according to the FISST algorithm.
      56             : 
      57             : Specifically,
      58             : 
      59             : $$
      60             : \bar{F}(Q)=\frac{ \int_{F_{min}}^{F_{max}} e^{\beta F Q(\vec{q})} \omega(F) F dF}{\int_{F_{min}}^{F_{max}} e^{\beta F Q(\vec{q})} \omega(F) dF},
      61             : $$
      62             : 
      63             : where $\vec{q}$ are the molecular coordinates of the system, and $w(F)$ 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).
      64             : 
      65             : The target for $w(F)=1/Z_q(F)$, where
      66             : 
      67             : $$
      68             :     Z_q(F) \equiv \int d\vec{q} e^{-\beta U(\vec{q}) + \beta F Q(\vec{q})}.
      69             : $$
      70             : 
      71             : FISST also computes and writes Observable Weights $W_F(\vec{q}_t)$ for a molecular configuration at time $t$, so that averages of other quantities $A(\vec{q})$ can be reconstructed later at different force values (over a trajectory with $T$ samples):
      72             : 
      73             : $$
      74             :     \langle A \rangle_F = \frac{1}{T} \sum_t W_F(\vec{q}_t) A(\vec{q}_t).
      75             : $$
      76             : 
      77             : ## Examples
      78             : 
      79             : 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.
      80             : 
      81             : ```plumed
      82             : UNITS LENGTH=A TIME=fs ENERGY=kcal/mol
      83             : 
      84             : b1: GROUP ATOMS=1
      85             : b2: GROUP ATOMS=12
      86             : 
      87             : dend: DISTANCE ATOMS=b1,b2
      88             : 
      89             : #The conversion factor is 69.4786 pN = 1 kcal/mol/Angstrom
      90             : 
      91             : #0 pN to 100 pN
      92             : 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
      93             : 
      94             : PRINT ARG=dend,f.dend_fbar,f.bias,f.force2 FILE=pull.colvar.txt STRIDE=1000
      95             : ```
      96             : 
      97             : */
      98             : //+ENDPLUMEDOC
      99             : 
     100             : 
     101             : class FISST : public Bias {
     102             : 
     103             : 
     104             : private:
     105             :   /*We will get this and store it once, since on-the-fly changing number of CVs will be fatal*/
     106             :   const unsigned int ncvs_;
     107             :   std::vector<double> center_;
     108             :   std::vector<double> current_avg_force_;
     109             : 
     110             :   std::vector<double> forces_;
     111             :   std::vector<double> force_weight_;
     112             :   std::vector<double> gauss_weight_;
     113             :   std::vector<double> partition_estimate_;
     114             :   std::vector<double> observable_weight_;
     115             : 
     116             :   std::string in_restart_name_;
     117             :   std::string out_restart_name_;
     118             :   std::string out_observable_name_;
     119             :   std::string fmt_;
     120             :   std::string initial_weight_dist_;
     121             :   OFile out_restart_;
     122             :   OFile out_observable_;
     123             :   IFile in_restart_;
     124             :   bool b_freeze_;
     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             :   Random rand_;
     141             : 
     142             : 
     143             :   Value* value_force2_;
     144             :   void readInRestart();
     145             :   void NormalizeForceWeights();
     146             :   /*setup output restart*/
     147             :   void setupOutRestart();
     148             :   void setupOutObservable();
     149             :   /*write output restart*/
     150             :   void writeOutRestart();
     151             :   void writeOutObservable();
     152             :   void update_statistics();
     153             :   void update_bias();
     154             :   void apply_bias();
     155             :   void compute_observable_weight();
     156             : 
     157             : public:
     158             :   explicit FISST(const ActionOptions&);
     159             :   void calculate();
     160             :   void update();
     161             :   void turnOnDerivatives();
     162             :   static void registerKeywords(Keywords& keys);
     163             :   ~FISST();
     164             : };
     165             : 
     166             : PLUMED_REGISTER_ACTION(FISST,"FISST")
     167             : 
     168           6 : void FISST::registerKeywords(Keywords& keys) {
     169           6 :   Bias::registerKeywords(keys);
     170           6 :   keys.add("compulsory","PERIOD","Steps corresponding to the learning rate");
     171           6 :   keys.add("optional","RESET_PERIOD","Reset the learning statistics every time this number of steps comes around.");
     172           6 :   keys.add("compulsory","NINTERPOLATE","Number of grid points on which to do interpolation.");
     173           6 :   keys.add("compulsory","MIN_FORCE","Minimum force (per CV) to use for sampling. Units: [Energy]/[CV]  (can be negative).");
     174           6 :   keys.add("compulsory","MAX_FORCE","Maximum force (per CV) to use for sampling.");
     175           6 :   keys.add("compulsory","CENTER","0","The CV value at which the applied bias energy will be zero");
     176           6 :   keys.add("optional","KBT","The system temperature in units of KB*T. If not provided will be taken from MD code (if available)");
     177             : 
     178           6 :   keys.add("optional","INITIAL_WEIGHT_DIST","Starting distribution for the force weights (options: UNIFORM, EXP, GAUSS).");
     179           6 :   keys.add("optional","INITIAL_WEIGHT_RATE","Rate of decay for exponential and gaussian distributions. W(F)~exp(-r |F|^d).");
     180             : 
     181           6 :   keys.add("optional","RESTART_FMT","the format that should be used to output real numbers in FISST restarts.");
     182           6 :   keys.add("optional","OUT_RESTART","Output file for all information needed to continue FISST simulation."
     183             :            "If you have the RESTART directive set (global or for FISST), this file will be appended to."
     184             :            "Note that the header will be printed again if appending.");
     185           6 :   keys.add("optional","IN_RESTART","Read this file to continue an FISST simulation. "
     186             :            "If same as OUT_RESTART and you have not set the RESTART directive, the file will be backed-up and overwritten with new output."
     187             :            "If you do have the RESTART flag set and it is the same name as OUT_RESTART, this file will be appended.");
     188           6 :   keys.add("optional","OUT_OBSERVABLE","Output file putting weights needed to compute observables at different force values."
     189             :            "If you have the RESTART directive set (global or for FISST), this file will be appended to. "
     190             :            "Note that the header will be printed again if appending.");
     191           6 :   keys.add("optional","OBSERVABLE_FREQ","How often to write out observable weights (default=period).");
     192           6 :   keys.addFlag("FREEZE",false,"Fix bias weights at current level (only used for restarting).");
     193           6 :   keys.use("RESTART");
     194          12 :   keys.addOutputComponent("force2","default","scalar", "squared value of force from the bias.");
     195          12 :   keys.addOutputComponent("_fbar","default", "scalar", "For each named CV biased, there will be a corresponding output CV_fbar storing the current linear bias prefactor.");
     196           6 :   keys.addDOI("10.1063/5.0009280");
     197           6 : }
     198             : 
     199           2 : FISST::FISST(const ActionOptions&ao):
     200             :   PLUMED_BIAS_INIT(ao),
     201           2 :   ncvs_(getNumberOfArguments()),
     202           2 :   center_(ncvs_,0.0),
     203           2 :   current_avg_force_(ncvs_,0.0),
     204           2 :   in_restart_name_(""),
     205           2 :   out_restart_name_(""),
     206           2 :   out_observable_name_(""),
     207           2 :   fmt_("%e"),
     208           2 :   initial_weight_dist_("UNIFORM"),
     209           2 :   b_freeze_(false),
     210           2 :   b_restart_(false),
     211           2 :   b_write_restart_(false),
     212           2 :   b_write_observable_(false),
     213           2 :   b_first_restart_sample_(true),
     214           2 :   period_(0),
     215           2 :   reset_period_(0),
     216           2 :   observable_freq_(0),
     217           2 :   n_interpolation_(0),
     218           2 :   n_samples_(0),
     219           2 :   kbt_(0.0),
     220             :   //change min_force and max_force to vectors if going to do more than one cv
     221           2 :   max_force_(0.0),
     222           2 :   min_force_(0.0),
     223           2 :   initial_weight_rate_(0),
     224           4 :   value_force2_(NULL) {
     225           2 :   if(ncvs_==0) {
     226           0 :     error("Must specify at least one CV with ARG");
     227             :   }
     228             : 
     229             :   //temporary
     230           2 :   if(ncvs_>1) {
     231           0 :     error("FISST only supports using one CV right now");
     232             :   }
     233             : 
     234           4 :   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             : 
     267           2 :   if(in_restart_name_ != "") {
     268           0 :     b_restart_ = true;
     269           0 :     log.printf("  reading simulation information from file: %s\n",in_restart_name_.c_str());
     270           0 :     readInRestart();
     271             :   } else {
     272             : 
     273           2 :     if(! (kbt_ > 0.0)) {
     274           2 :       kbt_=getkBT();
     275             :     }
     276             : 
     277             :     //in driver, this results in kbt of 0
     278           2 :     if(kbt_ == 0) {
     279           0 :       error("  Unable to determine valid kBT. "
     280             :             "Could be because you are running from driver or MD didn't give temperature.\n"
     281             :             "Consider setting temperature manually with the KBT keyword.");
     282             :     }
     283             : 
     284           2 :     log.printf("  kBT = %f\n",kbt_);
     285           2 :     log.printf("  Updating with a time scale of %i steps\n",period_);
     286             : 
     287           2 :     log.printf("  Using centers for CVs of:");
     288           4 :     for(unsigned int i = 0; i< ncvs_; i++) {
     289           2 :       log.printf(" %f ",center_[i]);
     290             :     }
     291           2 :     log.printf("\n");
     292           2 :     observable_weight_.resize(n_interpolation_);
     293          64 :     for(int i = 0; i<n_interpolation_; i++) {
     294          62 :       observable_weight_[i] = 1.0;
     295             :     }
     296             : 
     297           2 :     forces_.resize(n_interpolation_);
     298           2 :     force_weight_.resize(n_interpolation_);
     299             :     //using code from the MIST project
     300           2 :     gauss_weight_.resize(n_interpolation_);
     301           2 :     legendre_compute_glr(n_interpolation_, &forces_[0], &gauss_weight_[0]);
     302           2 :     rescale(min_force_, max_force_, n_interpolation_, &forces_[0], &gauss_weight_[0]);
     303             : 
     304           2 :     log.printf("Using weight distribution %s with rate %f\n",initial_weight_dist_.c_str(),initial_weight_rate_);
     305           2 :     if(initial_weight_dist_ == "UNIFORM" ) {
     306          32 :       for(int i = 0; i<n_interpolation_; i++) {
     307          31 :         force_weight_[i] = 1.0;
     308             :       }
     309           1 :     } else if (initial_weight_dist_ == "EXP" ) {
     310          32 :       for(int i = 0; i<n_interpolation_; i++) {
     311          31 :         force_weight_[i] = exp(-fabs(forces_[i])*initial_weight_rate_);
     312             :       }
     313           0 :     } else if (initial_weight_dist_ == "GAUSS" ) {
     314           0 :       for(int i = 0; i<n_interpolation_; i++) {
     315           0 :         force_weight_[i] = exp(-pow(forces_[i],2)*initial_weight_rate_);
     316             :       }
     317             :     } else {
     318           0 :       error("  Specified weight distribution is not from the allowed list.");
     319             : 
     320             :     }
     321             : 
     322           2 :     partition_estimate_.resize(n_interpolation_);
     323           2 :     NormalizeForceWeights();
     324             :     double sum = 0.0;
     325          64 :     for(int i = 0; i<n_interpolation_; i++) {
     326             :       //setting partition estimate as 1/w_i
     327          62 :       partition_estimate_[i] = 1/force_weight_[i];
     328          62 :       log.printf("force/gauss weight/force_weight: %i %f %f %f\n",i,forces_[i],gauss_weight_[i],force_weight_[i]);
     329          62 :       sum+=gauss_weight_[i]*force_weight_[i];
     330             :     }
     331           2 :     log.printf("--Sum_i w_i g_i: %f\n",sum);
     332             : 
     333             :   }
     334             : 
     335             :   //set inverse temperature
     336           2 :   beta_ = 1/kbt_;
     337             : 
     338           2 :   if(b_freeze_ && b_restart_) {
     339           0 :     log.printf("  freezing weights read in from the restart file\n");
     340             :   }
     341             : 
     342           2 :   if(out_restart_name_.length()>0) {
     343           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());
     344           2 :     b_write_restart_ = true;
     345           2 :     setupOutRestart();
     346             :   }
     347           2 :   if(out_observable_name_.length()>0) {
     348           2 :     if(observable_freq_==0) {
     349           2 :       observable_freq_ = period_;
     350             :     }
     351           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());
     352           2 :     b_write_observable_ = true;
     353           2 :     setupOutObservable();
     354             :   }
     355             : 
     356             :   //add citation later:
     357             :   //log<<"  Bibliography "<<plumed.cite("")<<"\n";
     358           2 : }
     359             : 
     360          12 : void FISST::NormalizeForceWeights() {
     361             :   double denom = 0.0;
     362             : 
     363         384 :   for(int i =0; i<n_interpolation_; i++) {
     364         372 :     denom += gauss_weight_[i] * force_weight_[i];
     365             :   }
     366             : 
     367         384 :   for(int i =0; i<n_interpolation_; i++) {
     368         372 :     force_weight_[i] /= denom;
     369             :   }
     370          12 : }
     371             : 
     372           0 : void FISST::readInRestart() {
     373           0 :   in_restart_.open(in_restart_name_);
     374             : 
     375           0 :   if(in_restart_.FieldExist("kbt")) {
     376           0 :     in_restart_.scanField("kbt",kbt_);
     377             :   } else {
     378           0 :     error("No field 'kbt' in restart file");
     379             :   }
     380           0 :   log.printf("  with kBT = %f\n",kbt_);
     381             : 
     382           0 :   if(in_restart_.FieldExist("period")) {
     383           0 :     in_restart_.scanField("period",period_);
     384             :   } else {
     385           0 :     error("No field 'period' in restart file");
     386             :   }
     387           0 :   log.printf("  Updating every %i steps\n",period_);
     388             : 
     389             : //this one can be optional
     390           0 :   if(in_restart_.FieldExist("reset_period")) {
     391           0 :     in_restart_.scanField("reset_period",reset_period_);
     392             :   }
     393           0 :   log.printf("  Resetting statistics every %i steps\n",reset_period_);
     394             : 
     395           0 :   if(in_restart_.FieldExist("n_interpolation")) {
     396           0 :     in_restart_.scanField("n_interpolation",n_interpolation_);
     397             :   } else {
     398           0 :     error("No field 'n_interpolation' in restart file");
     399             :   }
     400             : 
     401           0 :   if(in_restart_.FieldExist("min_force")) {
     402           0 :     in_restart_.scanField("min_force",min_force_);
     403             :   } else {
     404           0 :     error("No field 'min_force' in restart file");
     405             :   }
     406           0 :   if(in_restart_.FieldExist("max_force")) {
     407           0 :     in_restart_.scanField("max_force",max_force_);
     408             :   } else {
     409           0 :     error("No field 'max_force' in restart file");
     410             :   }
     411           0 :   log.printf("  with forces from min_force=%e to max_force=%e over %i bins\n",min_force_,max_force_,n_interpolation_);
     412             : 
     413             :   std::string cv_name;
     414             :   double tmp, time;
     415             : 
     416           0 :   while(in_restart_.scanField("time",time)) {
     417           0 :     in_restart_.scanField("nsamples",n_samples_);
     418             : 
     419           0 :     observable_weight_.resize(n_interpolation_);
     420           0 :     partition_estimate_.resize(n_interpolation_);
     421           0 :     force_weight_.resize(n_interpolation_);
     422           0 :     gauss_weight_.resize(n_interpolation_);
     423           0 :     forces_.resize(n_interpolation_);
     424             : 
     425           0 :     for(unsigned int i = 0; i<ncvs_; ++i) {
     426             :       cv_name = getPntrToArgument(i)->getName();
     427           0 :       in_restart_.scanField(cv_name,tmp);
     428           0 :       for(int j =0; j<n_interpolation_; ++j) {
     429           0 :         in_restart_.scanField(cv_name + "_f"+std::to_string(j),forces_[j]);
     430           0 :         in_restart_.scanField(cv_name + "_g"+std::to_string(j),gauss_weight_[j]);
     431           0 :         in_restart_.scanField(cv_name + "_w"+std::to_string(j),force_weight_[j]);
     432           0 :         in_restart_.scanField(cv_name + "_z"+std::to_string(j),partition_estimate_[j]);
     433             :       }
     434             :     }
     435             : 
     436           0 :     in_restart_.scanField();
     437             :   }
     438             : 
     439             :   double sum = 0.0;
     440           0 :   for(int j =0; j<n_interpolation_; ++j) {
     441             :     //clear observable weight, which will be set later
     442           0 :     observable_weight_[j] = 1.0;
     443             : 
     444             :     //setting partition estimate as 1/w_i
     445           0 :     log.printf("force/gauss weight/force_weight: %i %e %e %e\n",j,forces_[j],gauss_weight_[j],force_weight_[j]);
     446           0 :     sum+=gauss_weight_[j]*force_weight_[j];
     447             :   }
     448           0 :   log.printf("--Sum_i w_i g_i: %f\n",sum);
     449             : 
     450           0 :   in_restart_.close();
     451           0 : }
     452             : 
     453           2 : void FISST::setupOutObservable() {
     454           2 :   out_observable_.link(*this);
     455           2 :   out_observable_.fmtField(fmt_);
     456           2 :   out_observable_.open(out_observable_name_);
     457             :   out_observable_.setHeavyFlush();
     458             : 
     459           4 :   out_observable_.addConstantField("kbt").printField("kbt",kbt_);
     460           4 :   out_observable_.addConstantField("n_interpolation").printField("n_interpolation",n_interpolation_);
     461           4 :   out_observable_.addConstantField("period").printField("period",period_);
     462           4 :   out_observable_.addConstantField("min_force").printField("min_force",min_force_);
     463           4 :   out_observable_.addConstantField("max_force").printField("max_force",max_force_);
     464           2 : }
     465             : 
     466           2 : void FISST::setupOutRestart() {
     467           2 :   out_restart_.link(*this);
     468           2 :   out_restart_.fmtField(fmt_);
     469           2 :   out_restart_.open(out_restart_name_);
     470             :   out_restart_.setHeavyFlush();
     471             : 
     472           4 :   out_restart_.addConstantField("kbt").printField("kbt",kbt_);
     473           4 :   out_restart_.addConstantField("n_interpolation").printField("n_interpolation",n_interpolation_);
     474           4 :   out_restart_.addConstantField("period").printField("period",period_);
     475           2 :   if(reset_period_>0) {
     476           0 :     out_restart_.addConstantField("reset_period").printField("reset_period",reset_period_);
     477             :   }
     478           4 :   out_restart_.addConstantField("min_force").printField("min_force",min_force_);
     479           4 :   out_restart_.addConstantField("max_force").printField("max_force",max_force_);
     480           2 : }
     481             : 
     482          10 : void FISST::writeOutRestart() {
     483             :   std::string cv_name;
     484          10 :   out_restart_.printField("time",getTimeStep()*getStep());
     485          10 :   out_restart_.printField("nsamples",n_samples_);
     486             : 
     487          20 :   for(unsigned int i = 0; i<ncvs_; ++i) {
     488             :     cv_name = getPntrToArgument(i)->getName();
     489          10 :     double Q_i = difference(i, center_[i], getArgument(i));
     490          10 :     out_restart_.printField(cv_name,Q_i);
     491         320 :     for(int j = 0; j < n_interpolation_; j++ ) {
     492             : //have to update this for multiple cvs
     493         620 :       out_restart_.printField(cv_name + "_f"+std::to_string(j),forces_[j]);
     494         620 :       out_restart_.printField(cv_name + "_g"+std::to_string(j),gauss_weight_[j]);
     495         620 :       out_restart_.printField(cv_name + "_w"+std::to_string(j),force_weight_[j]);
     496         620 :       out_restart_.printField(cv_name + "_z"+std::to_string(j),partition_estimate_[j]);
     497             :     }
     498             :   }
     499          10 :   out_restart_.printField();
     500          10 : }
     501             : 
     502          10 : void FISST::writeOutObservable() {
     503             :   std::string cv_name;
     504          10 :   out_observable_.printField("time",getTimeStep()*getStep());
     505          10 :   out_observable_.printField("nsamples",n_samples_);
     506             : 
     507          20 :   for(unsigned int i = 0; i<ncvs_; ++i) {
     508             :     cv_name = getPntrToArgument(i)->getName();
     509          10 :     double Q_i = difference(i, center_[i], getArgument(i));
     510          10 :     out_observable_.printField(cv_name,Q_i);
     511          10 :     out_observable_.printField(cv_name + "_fbar",current_avg_force_[i]);
     512         320 :     for(int j = 0; j < n_interpolation_; j++ ) {
     513             : //have to update this for multiple cvs
     514         620 :       out_observable_.printField(cv_name + "_f"+std::to_string(j),forces_[j]);
     515         620 :       out_observable_.printField(cv_name + "_ow"+std::to_string(j),observable_weight_[j]);
     516             :     }
     517             :   }
     518          10 :   out_observable_.printField();
     519          10 : }
     520             : 
     521             : 
     522          10 : void FISST::calculate() {
     523          10 :   if(getStep() == 0 ) {
     524           2 :     if(b_write_restart_) {
     525           2 :       writeOutRestart();
     526             :     }
     527           2 :     if(b_write_observable_) {
     528           2 :       writeOutObservable();
     529             :     }
     530             :   }
     531             : 
     532          10 :   if(! b_freeze_) {
     533          10 :     if(b_restart_ && b_first_restart_sample_) {
     534             :       //dont' update statistics if restarting and first sample
     535           0 :       b_first_restart_sample_ = false;
     536             :     } else {
     537          10 :       update_statistics();
     538             :     }
     539             :   }
     540          10 :   update_bias();
     541          10 :   apply_bias();
     542             : 
     543             :   //check about writing restart file
     544          10 :   if(getStep()>0 && getStep()%period_==0) {
     545           8 :     if(b_write_restart_) {
     546           8 :       writeOutRestart();
     547             :     }
     548             :   }
     549          10 :   if(getStep()>0 && getStep()%observable_freq_==0) {
     550           8 :     if(b_write_observable_) {
     551           8 :       compute_observable_weight();
     552           8 :       writeOutObservable();
     553             :     }
     554             :   }
     555          10 : }
     556             : 
     557             : 
     558          10 : void FISST::apply_bias() {
     559             :   //Compute linear force as in "restraint"
     560             :   double ene = 0, totf2 = 0, cv;
     561             : 
     562          20 :   for(unsigned int i = 0; i < ncvs_; ++i) {
     563          10 :     cv = difference(i, center_[i], getArgument(i));
     564          10 :     double fbar = current_avg_force_[i];
     565          10 :     ene -= fbar*cv;
     566          10 :     setOutputForce(i,fbar);
     567          10 :     totf2 += fbar*fbar;
     568             : 
     569          10 :     std::string fbar_name_ = getPntrToArgument(i)->getName() + "_fbar";
     570          10 :     Value* fbar_ = getPntrToComponent(fbar_name_);
     571             :     fbar_->set(fbar);
     572             :   };
     573             : 
     574          10 :   setBias(ene);
     575          10 :   value_force2_->set(totf2);
     576          10 : }
     577             : 
     578          10 : void FISST::update_statistics()  {
     579             : //get stride is for multiple time stepping
     580          10 :   double dt=getTimeStep()*getStride();
     581          10 :   double h = dt/(period_*getTimeStep());
     582             :   double fbar_denum_integral = 0.0;
     583             : 
     584          10 :   int step = getStep();
     585          10 :   if(reset_period_>0 && step>0 && step%reset_period_==0) {
     586           0 :     n_samples_=1;
     587             :   } else {
     588          10 :     n_samples_++;
     589             :   }
     590          10 :   double d_n_samples = (double)n_samples_;
     591             : 
     592          20 :   for(unsigned int i = 0; i < ncvs_; ++i) {
     593          10 :     double Q_i = difference(i, center_[i], getArgument(i));
     594         320 :     for(int j =0; j<n_interpolation_; j++) {
     595             :       //if multiple cvs, these need to be updated to have 2 columns
     596         310 :       double f_j = forces_[j];
     597         310 :       double w_j = force_weight_[j];
     598         310 :       double g_j = gauss_weight_[j];
     599             : 
     600         310 :       fbar_denum_integral += g_j * w_j * exp(beta_*f_j * Q_i);
     601             :     }
     602             : 
     603         320 :     for(int j =0; j<n_interpolation_; j++) {
     604         310 :       double f_j = forces_[j];
     605         310 :       double sample_weight = exp(beta_*f_j * Q_i) / fbar_denum_integral;
     606             : 
     607         310 :       partition_estimate_[j] = sample_weight/d_n_samples + partition_estimate_[j]*(d_n_samples-1)/(d_n_samples);
     608             : 
     609         310 :       double w_jn = force_weight_[j];
     610         310 :       double z_jn = partition_estimate_[j];
     611             : 
     612         310 :       double w_jp1 = (1.0 - h) * w_jn + h / z_jn;
     613         310 :       force_weight_[j] = w_jp1;
     614             :     }
     615             :   }
     616             : 
     617             :   // make sure that the weights are normalised
     618          10 :   NormalizeForceWeights();
     619          10 : }
     620             : 
     621             : 
     622          10 : void FISST::update_bias() {
     623          20 :   for(unsigned int i = 0; i < ncvs_; ++i) {
     624          10 :     double Q_i = difference(i, center_[i], getArgument(i));
     625             :     double fbar_num_integral = 0.0;
     626             :     double fbar_denum_integral = 0.0;
     627             : 
     628         320 :     for(int j =0; j<n_interpolation_; j++ ) {
     629         310 :       double f_j = forces_[j];
     630         310 :       double w_j = force_weight_[j];
     631         310 :       double g_j = gauss_weight_[j];
     632             : 
     633         310 :       fbar_num_integral += g_j * f_j * w_j * exp(beta_*f_j*Q_i);
     634         310 :       fbar_denum_integral += g_j * w_j * exp(beta_*f_j*Q_i);
     635             :     }
     636             : 
     637          10 :     current_avg_force_[i] = fbar_num_integral/fbar_denum_integral;
     638             :   }
     639          10 : }
     640             : 
     641           8 : void FISST::compute_observable_weight() {
     642           8 :   double obs_num = (max_force_ - min_force_);
     643             : 
     644          16 :   for(unsigned int i = 0; i < ncvs_; ++i) {
     645           8 :     double Q_i = difference(i, center_[i], getArgument(i));
     646             : 
     647         256 :     for(int j =0; j<n_interpolation_; j++ ) {
     648         248 :       double z_j = partition_estimate_[j];
     649         248 :       double f_j = forces_[j];
     650             :       double denum_integral = 0.0;
     651             : 
     652        7936 :       for(int k =0; k<n_interpolation_; k++ ) {
     653        7688 :         double f_k = forces_[k];
     654        7688 :         double w_k = force_weight_[k];
     655        7688 :         double g_k = gauss_weight_[k];
     656             : 
     657        7688 :         denum_integral += g_k * w_k * exp(beta_*(f_k-f_j)*Q_i);
     658             :       }
     659         248 :       observable_weight_[j] = obs_num/(denum_integral*z_j);
     660             :     }
     661             :   }
     662           8 : }
     663             : 
     664             : 
     665             : 
     666          10 : void FISST::update() {
     667             :   //pass
     668          10 : }
     669             : 
     670           4 : FISST::~FISST() {
     671           2 :   out_restart_.close();
     672           2 :   out_observable_.close();
     673           6 : }
     674             : 
     675           0 : void FISST::turnOnDerivatives() {
     676             :   // do nothing
     677             :   // this is to avoid errors triggered when a bias is used as a CV
     678             :   // (This is done in ExtendedLagrangian.cpp)
     679           0 : }
     680             : 
     681             : 
     682             : }
     683             : }//close the 2 namespaces

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