LCOV - code coverage report
Current view: top level - core - PlumedMain.h (source / functions) Hit Total Coverage
Test: plumed test coverage Lines: 17 18 94.4 %
Date: 2024-10-18 14:00:25 Functions: 0 0 -

          Line data    Source code
       1             : /* +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
       2             :    Copyright (c) 2011-2023 The plumed team
       3             :    (see the PEOPLE file at the root of the distribution for a list of names)
       4             : 
       5             :    See http://www.plumed.org for more information.
       6             : 
       7             :    This file is part of plumed, version 2.
       8             : 
       9             :    plumed is free software: you can redistribute it and/or modify
      10             :    it under the terms of the GNU Lesser General Public License as published by
      11             :    the Free Software Foundation, either version 3 of the License, or
      12             :    (at your option) any later version.
      13             : 
      14             :    plumed is distributed in the hope that it will be useful,
      15             :    but WITHOUT ANY WARRANTY; without even the implied warranty of
      16             :    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
      17             :    GNU Lesser General Public License for more details.
      18             : 
      19             :    You should have received a copy of the GNU Lesser General Public License
      20             :    along with plumed.  If not, see <http://www.gnu.org/licenses/>.
      21             : +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ */
      22             : #ifndef __PLUMED_core_PlumedMain_h
      23             : #define __PLUMED_core_PlumedMain_h
      24             : 
      25             : #include "WithCmd.h"
      26             : #include "tools/ForwardDecl.h"
      27             : #include <cstdio>
      28             : #include <string>
      29             : #include <vector>
      30             : #include <set>
      31             : #include <stack>
      32             : #include <memory>
      33             : #include <map>
      34             : #include <atomic>
      35             : 
      36             : // !!!!!!!!!!!!!!!!!!!!!!    DANGER   !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!11
      37             : // THE FOLLOWING ARE DEFINITIONS WHICH ARE NECESSARY FOR DYNAMIC LOADING OF THE PLUMED KERNEL:
      38             : // This section should be consistent with the Plumed.h file.
      39             : // Since the Plumed.h file may be included in host MD codes, **NEVER** MODIFY THE CODE DOWN HERE
      40             : 
      41             : /* Generic function pointer */
      42             : typedef void (*plumed_function_pointer)(void);
      43             : 
      44             : /* Holder for function pointer */
      45             : typedef struct {
      46             :   plumed_function_pointer p;
      47             : } plumed_function_holder;
      48             : 
      49             : // END OF DANGER
      50             : ////////////////////////////////////////////////////////////
      51             : 
      52             : namespace PLMD {
      53             : 
      54             : 
      55             : 
      56             : class ActionAtomistic;
      57             : class ActionPilot;
      58             : class ActionForInterface;
      59             : class Log;
      60             : class Atoms;
      61             : class ActionSet;
      62             : class DLLoader;
      63             : class Communicator;
      64             : class Stopwatch;
      65             : class Citations;
      66             : class ExchangePatterns;
      67             : class FileBase;
      68             : class TypesafePtr;
      69             : class IFile;
      70             : class Units;
      71             : class Keywords;
      72             : class DataPassingTools;
      73             : 
      74             : /**
      75             : Main plumed object.
      76             : In MD engines this object is not manipulated directly but it is wrapped in
      77             : plumed or PLMD::Plumed objects. Its main method is cmd(),
      78             : which defines completely the external plumed interface.
      79             : It does not contain any static data.
      80             : */
      81             : class PlumedMain:
      82             :   public WithCmd
      83             : {
      84             : /// Pointers to files opened in actions associated to this object.
      85             : /// Notice that with the current implementation this should be at the top of this
      86             : /// structure. Indeed, this should be destroyed *after* all the actions allocated
      87             : /// in this PlumedMain object have been destroyed.
      88             :   std::set<FileBase*> files;
      89             : /// Forward declaration.
      90             :   ForwardDecl<Communicator> comm_fwd;
      91             : public:
      92             : /// Communicator for plumed.
      93             : /// Includes all the processors used by plumed.
      94             :   Communicator&comm=*comm_fwd;
      95             : 
      96             : private:
      97             :   class DeprecatedAtoms {
      98             :   private:
      99             :     PlumedMain & plumed;
     100             :   public:
     101      806698 :     explicit DeprecatedAtoms(PlumedMain& p): plumed(p) {}
     102             :     [[deprecated("Use Action::getKBoltzmann().")]]
     103             :     double getKBoltzmann() const ;
     104             :     [[deprecated("Use Action::getkBT() N.B. this function also reads the TEMP keyword from the input for you.")]]
     105             :     double getKbT() const ;
     106             :     [[deprecated]]
     107             :     int getNatoms() const ;
     108             :     [[deprecated("Use Action::usingNaturalUnits().")]]
     109             :     bool usingNaturalUnits() const ;
     110             :     [[deprecated]]
     111             :     void setCollectEnergy(bool b) const;
     112             :     [[deprecated]]
     113             :     double getEnergy() const ;
     114             :   };
     115             : /// Forward declaration.
     116             :   ForwardDecl<DeprecatedAtoms> datoms_fwd;
     117             : /// Object containing old bits of atoms that are used by many folks
     118             :   DeprecatedAtoms&    datoms=*datoms_fwd;
     119             : /// Forward declaration.
     120             :   ForwardDecl<Communicator> multi_sim_comm_fwd;
     121             : public:
     122             :   DeprecatedAtoms& getAtoms();
     123             :   Communicator&multi_sim_comm=*multi_sim_comm_fwd;
     124             : 
     125             : private:
     126             : /// Error handler.
     127             : /// Pointer to a function that is called an exception thrown within
     128             : /// the library is about to leave the library.
     129             : /// Can be used to remap exceptions in case the plumed wrapper was compiled
     130             : /// with a different version of the C++ standard library.
     131             : /// Should only be called from \ref plumed_plumedmain_cmd().
     132             :   typedef struct {
     133             :     void* ptr;
     134             :     void(*handler)(void* ptr,int code,const char*);
     135             :   } plumed_error_handler;
     136             : 
     137             :   plumed_error_handler error_handler= {NULL,NULL};
     138             : 
     139             :   bool nestedExceptions=false;
     140             : 
     141             : /// Forward declaration.
     142             :   ForwardDecl<DLLoader> dlloader_fwd;
     143             :   DLLoader& dlloader=*dlloader_fwd;
     144             : 
     145             :   std::unique_ptr<WithCmd> cltool;
     146             : 
     147             :   std::unique_ptr<WithCmd> grex;
     148             : /// Flag to avoid double initialization
     149             :   bool  initialized=false;
     150             : /// Name of MD engine
     151             :   std::string MDEngine{"mdcode"};
     152             : 
     153             : /// Forward declaration.
     154             :   ForwardDecl<Log> log_fwd;
     155             : /// Log stream
     156             :   Log& log=*log_fwd;
     157             : 
     158             : /// Forward declaration.
     159             : /// Should be placed after log since its constructor takes a log reference as an argument.
     160             :   ForwardDecl<Stopwatch> stopwatch_fwd;
     161             :   Stopwatch& stopwatch=*stopwatch_fwd;
     162             : 
     163             : /// Forward declaration.
     164             :   ForwardDecl<Citations> citations_fwd;
     165             : /// tools/Citations.holder
     166             :   Citations& citations=*citations_fwd;
     167             : 
     168             : /// Present step number.
     169             :   long long int step=0;
     170             : 
     171             : /// Condition for plumed to be active.
     172             : /// At every step, PlumedMain is checking if there are Action's requiring some work.
     173             : /// If at least one Action requires some work, this variable is set to true.
     174             :   bool active=false;
     175             : 
     176             : /// Name of the input file
     177             :   std::string plumedDat;
     178             : 
     179             : /// End of input file.
     180             : /// Set to true to terminate reading
     181             :   bool endPlumed=false;
     182             : 
     183             : /// Forward declaration.
     184             :   ForwardDecl<ActionSet> actionSet_fwd;
     185             : /// Set of actions found in plumed.dat file
     186             :   ActionSet& actionSet=*actionSet_fwd;
     187             : 
     188             : /// These are tools to pass data to PLUMED
     189             :   std::unique_ptr<DataPassingTools> passtools;
     190             : 
     191             : /// Vector of actions that are passed data from the MD code
     192             :   std::vector<ActionForInterface*> inputs;
     193             : 
     194             : /// Set of Pilot actions.
     195             : /// These are the action the, if they are Pilot::onStep(), can trigger execution
     196             :   std::vector<ActionPilot*> pilots;
     197             : 
     198             : /// Suffix string for file opening, useful for multiple simulations in the same directory
     199             :   std::string suffix;
     200             : 
     201             : /// The total bias (=total energy of the restraints)
     202             :   double bias=0.0;
     203             : 
     204             : /// The total work.
     205             : /// This computed by accumulating the change in external potentials.
     206             :   double work=0.0;
     207             : 
     208             : /// Forward declaration.
     209             :   ForwardDecl<ExchangePatterns> exchangePatterns_fwd;
     210             : /// Class of possible exchange patterns, used for BIASEXCHANGE but also for future parallel tempering
     211             :   ExchangePatterns& exchangePatterns=*exchangePatterns_fwd;
     212             : 
     213             : /// Set to true if on an exchange step
     214             :   bool exchangeStep=false;
     215             : 
     216             : /// Flag for restart
     217             :   bool restart=false;
     218             : 
     219             : /// Flag for checkpointig
     220             :   bool doCheckPoint=false;
     221             : 
     222             : /// A string that holds the name of the action that gets the energy from the MD
     223             : /// code.  Set empty if energy is not used.
     224             :   std::string name_of_energy{""};
     225             : 
     226             : /// This sets up the values that are set from the MD code
     227             :   void startStep();
     228             : 
     229             : /// This sets up the vector that contains the interface to the MD code
     230             :   void setupInterfaceActions();
     231             : 
     232             : /// Flag for parse only mode -- basically just forces restart to turn off
     233             :   bool doParseOnly=false;
     234             : 
     235             : private:
     236             : /// Forward declaration.
     237             :   ForwardDecl<TypesafePtr> stopFlag_fwd;
     238             : public:
     239             : /// Stuff to make plumed stop the MD code cleanly
     240             :   TypesafePtr& stopFlag=*stopFlag_fwd;
     241             :   bool stopNow=false;
     242             : 
     243             : /// Stack for update flags.
     244             : /// Store information used in class \ref generic::UpdateIf
     245             :   std::stack<bool> updateFlags;
     246             : 
     247             : public:
     248             : /// This determines if the user has created a value to hold the quantity that is being passed
     249             :   bool valueExists( const std::string& name ) const ;
     250             : 
     251             : /// This sets the the value with a particular name to the pointer to the data in the MD code
     252             :   void setInputValue( const std::string& name, const unsigned& start, const unsigned& stride, const TypesafePtr & val );
     253             : 
     254             : /// This sets the the forces with a particular name to the pointer to the data in the MD code
     255             :   void setInputForce( const std::string& name, const TypesafePtr & val );
     256             : 
     257             : /// This updates the units of the input quantities
     258             :   void setUnits( const bool& natural, const Units& u );
     259             : 
     260             : /// Flag to switch off virial calculation (for debug and MD codes with no barostat)
     261             :   bool novirial=false;
     262             : 
     263             : /// Flag to switch on detailed timers
     264             :   bool detailedTimers=false;
     265             : 
     266             : /// GpuDevice Identifier
     267             :   int gpuDeviceId=-1;
     268             : 
     269             : /// Generic map string -> double
     270             : /// intended to pass information across Actions
     271             :   std::map<std::string,double> passMap;
     272             : 
     273             : /// Add a citation, returning a string containing the reference number, something like "[10]"
     274             :   std::string cite(const std::string&);
     275             : 
     276             : /// Get number of threads that can be used by openmp
     277             :   unsigned getNumThreads()const;
     278             : 
     279             : /// Get a reasonable number of threads so as to access to an array of size s located at x
     280             :   template<typename T>
     281             :   unsigned getGoodNumThreads(const T*x,unsigned s)const;
     282             : 
     283             : /// Get a reasonable number of threads so as to access to vector v;
     284             :   template<typename T>
     285             :   unsigned getGoodNumThreads(const std::vector<T> & v)const;
     286             : 
     287             : public:
     288             :   PlumedMain();
     289             : // this is to access to WithCmd versions of cmd (allowing overloading of a virtual method)
     290             :   using WithCmd::cmd;
     291             :   /**
     292             :    cmd method, accessible with standard Plumed.h interface.
     293             :    \param key The name of the command to be executed.
     294             :    \param val The argument of the command to be executed.
     295             :    It is called as plumed_cmd() or as PLMD::Plumed::cmd()
     296             :    It is the interpreter for plumed commands. It basically contains the definition of the plumed interface.
     297             :    If you want to add a new functionality to the interface between plumed
     298             :    and an MD engine, this is the right place
     299             :    Notice that this interface should always keep retro-compatibility
     300             :   */
     301             :   void cmd(std::string_view key,const TypesafePtr & val) override;
     302             :   ~PlumedMain();
     303             :   /**
     304             :     Turn on parse only mode to deactivate restart in all actions.
     305             :     This is only used by plumed driver --parse-only
     306             :   */
     307             :   void activateParseOnlyMode();
     308             :   /**
     309             :     This checks if parse only mode is active and turns off any restart.
     310             :   */
     311             :   bool parseOnlyMode() const ;
     312             :   /**
     313             :     Read an input file.
     314             :     \param str name of the file
     315             :   */
     316             :   void readInputFile(const std::string & str);
     317             :   /**
     318             :     Read an input file.
     319             :     \param ifile
     320             :   */
     321             :   void readInputFile(IFile & ifile);
     322             :   /**
     323             :     Read an input string.
     324             :     \param str name of the string
     325             :   */
     326             :   void readInputWords(const std::vector<std::string> &  str, const bool& before_init);
     327             : 
     328             :   /**
     329             :     Read an input string.
     330             :     \param str name of the string
     331             :     At variance with readInputWords(), this is splitting the string into words
     332             :   */
     333             :   void readInputLine(const std::string & str, const bool& before_init=false);
     334             : 
     335             :   /**
     336             :     Read an input buffer.
     337             :     \param str name of the string
     338             :     Same as readInputFile, but first write str on a temporary file and then read
     339             :     that files. At variance with readInputLine, it can take care of comments and
     340             :     continuation lines.
     341             :   */
     342             :   void readInputLines(const std::string & str);
     343             : 
     344             :   /**
     345             :     Initialize the object.
     346             :     Should be called once.
     347             :   */
     348             :   void init();
     349             :   /**
     350             :     Prepare the calculation.
     351             :     Here it is checked which are the active Actions and communication of the relevant atoms is initiated.
     352             :     Shortcut for prepareDependencies() + shareData()
     353             :   */
     354             :   void prepareCalc();
     355             :   /**
     356             :     Prepare the list of active Actions and needed atoms.
     357             :     Scan the Actions to see which are active and which are not, so as to prepare a list of
     358             :     the atoms needed at this step.
     359             :   */
     360             :   void prepareDependencies();
     361             :   /**
     362             :     Ensure that all the atoms are shared.
     363             :     This is used in GREX to ensure that we transfer all the positions from the MD code to PLUMED.
     364             :   */
     365             :   void shareAll();
     366             :   /**
     367             :     Share the needed atoms.
     368             :     In asynchronous implementations, this method sends the required atoms to all the plumed processes,
     369             :     without waiting for the communication to complete.
     370             :   */
     371             :   void shareData();
     372             :   /**
     373             :     Perform the calculation.
     374             :     Shortcut for waitData() + justCalculate() + justApply().
     375             :     Equivalently: waitData() + justCalculate() + backwardPropagate() + update().
     376             :   */
     377             :   void performCalc();
     378             :   /**
     379             :     Perform the calculation without update()
     380             :     Shortcut for: waitData() + justCalculate() + backwardPropagate()
     381             :   */
     382             :   void performCalcNoUpdate();
     383             :   /**
     384             :     Perform the calculation without backpropagation nor update()
     385             :     Shortcut for: waitData() + justCalculate()
     386             :   */
     387             :   void performCalcNoForces();
     388             :   /**
     389             :     Complete PLUMED calculation.
     390             :     Shortcut for prepareCalc() + performCalc()
     391             :   */
     392             :   void calc();
     393             :   /**
     394             :     Scatters the needed atoms.
     395             :     In asynchronous implementations, this method waits for the communications started in shareData()
     396             :     to be completed. Otherwise, just send around needed atoms.
     397             :   */
     398             :   void waitData();
     399             :   /**
     400             :     Perform the forward loop on active actions.
     401             :   */
     402             :   void justCalculate();
     403             :   /**
     404             :     Backward propagate and update.
     405             :     Shortcut for backwardPropagate() + update()
     406             :     I leave it here for backward compatibility
     407             :   */
     408             :   void justApply();
     409             :   /**
     410             :     Perform the backward loop on active actions.
     411             :     Needed to apply the forces back.
     412             :   */
     413             :   void backwardPropagate();
     414             :   /**
     415             :     Call the update() method.
     416             :   */
     417             :   void update();
     418             :   /**
     419             :     If there are calculations that need to be done at the very end of the calculations this
     420             :     makes sures they are done
     421             :   */
     422             :   /**
     423             :     This function does clearInputForces for the list of atoms that have a force on them. This
     424             :     is an optimisation to prevent calling std::fill over a large array
     425             :   */
     426             :   void resetInputs();
     427             :   void runJobsAtEndOfCalculation();
     428             : /// Reference to the list of Action's
     429             :   const ActionSet & getActionSet()const;
     430             : /// Referenge to the log stream
     431             :   Log & getLog();
     432             : /// Return the number of the step
     433     5403876 :   long long int getStep()const {return step;}
     434             : /// Stop the run
     435             :   void exit(int c=0);
     436             : /// Load a shared library
     437             :   void load(const std::string&);
     438             : /// Get the suffix string
     439             :   const std::string & getSuffix()const;
     440             : /// Set the suffix string
     441             :   void setSuffix(const std::string&);
     442             : /// get the value of the bias
     443             :   double getBias()const;
     444             : /// get the value of the work
     445             :   double getWork()const;
     446             : /// Opens a file.
     447             : /// Similar to plain fopen, but, if it finds an error in opening the file, it also tries with
     448             : /// path+suffix.  This trick is useful for multiple replica simulations.
     449             :   FILE* fopen(const char *path, const char *mode);
     450             : /// Closes a file opened with PlumedMain::fopen()
     451             :   int fclose(FILE*fp);
     452             : /// Insert a file
     453             :   void insertFile(FileBase&);
     454             : /// Erase a file
     455             :   void eraseFile(FileBase&);
     456             : /// Flush all files
     457             :   void fflush();
     458             : /// Check if restarting
     459             :   bool getRestart()const;
     460             : /// Set restart flag
     461          56 :   void setRestart(bool f) {if(!doParseOnly) restart=f;}
     462             : /// Check if checkpointing
     463             :   bool getCPT()const;
     464             : /// Set exchangeStep flag
     465             :   void setExchangeStep(bool f);
     466             : /// Get exchangeStep flag
     467             :   bool getExchangeStep()const;
     468             : /// Stop the calculation cleanly (both the MD code and plumed)
     469             :   void stop();
     470             : /// Enforce active flag.
     471             : /// This is a (bit dirty) hack to solve a bug. When there is no active ActionPilot,
     472             : /// several shortcuts are used. However, these shortcuts can block GREX module.
     473             : /// This function allows to enforce active plumed when doing exchanges,
     474             : /// thus fixing the bug.
     475             :   void resetActive(bool active);
     476             : 
     477             : /// Access to exchange patterns
     478           0 :   ExchangePatterns& getExchangePatterns() {return exchangePatterns;}
     479             : 
     480             : /// Push a state to update flags
     481             :   void updateFlagsPush(bool);
     482             : /// Pop a state from update flags
     483             :   void updateFlagsPop();
     484             : /// Get top of update flags
     485             :   bool updateFlagsTop();
     486             : /// Set end of input file
     487             :   void setEndPlumed();
     488             : /// Get the value of the end plumed flag
     489             :   bool getEndPlumed() const ;
     490             : /// Get the value of the gpuDeviceId
     491             :   int getGpuDeviceId() const ;
     492             : /// Call error handler.
     493             : /// Should only be called from \ref plumed_plumedmain_cmd().
     494             : /// If the error handler was not set, returns false.
     495             :   bool callErrorHandler(int code,const char* msg)const;
     496             : private:
     497             :   std::atomic<unsigned> referenceCounter{};
     498             : public:
     499             : /// Atomically increase reference counter and return the new value
     500             :   unsigned increaseReferenceCounter() noexcept;
     501             : /// Atomically decrease reference counter and return the new value
     502             :   unsigned decreaseReferenceCounter() noexcept;
     503             : /// Report the reference counter
     504             :   unsigned useCountReferenceCounter() const noexcept;
     505             :   void enableNestedExceptions();
     506             :   bool getNestedExceptions()const {
     507         166 :     return nestedExceptions;
     508             :   }
     509             : /// Check if there is active input in the action set
     510             :   bool inputsAreActive() const ;
     511             : /// Transfer information from input MD code
     512             :   void writeBinary(std::ostream&)const;
     513             :   void readBinary(std::istream&);
     514             : /// Used to set the name of the action that holds the energy
     515             :   void setEnergyValue( const std::string& name );
     516             : /// Get the real preicision
     517             :   int getRealPrecision() const;
     518             : /// Are we using natural units
     519             :   bool usingNaturalUnits() const ;
     520             : /// Get the units that are being used
     521             :   const Units& getUnits();
     522             : /// Take an energy that is calculated by PLUMED and pass it to a typesafe pointer
     523             : /// that the MD code can access.
     524             :   void plumedQuantityToMD( const std::string& unit, const double& eng, const TypesafePtr & m) const ;
     525             : /// Take a typesafe pointer from the MD code and convert it to a double
     526             :   double MDQuantityToPLUMED( const std::string& unit, const TypesafePtr & m) const ;
     527             : /// Get the keywords for a particular action
     528             :   void getKeywordsForAction( const std::string& action, Keywords& keys ) const ;
     529             : };
     530             : 
     531             : /////
     532             : // FAST INLINE METHODS:
     533             : 
     534             : inline
     535             : const ActionSet & PlumedMain::getActionSet()const {
     536     1579879 :   return actionSet;
     537             : }
     538             : 
     539             : inline
     540             : const std::string & PlumedMain::getSuffix()const {
     541        5313 :   return suffix;
     542             : }
     543             : 
     544             : inline
     545             : void PlumedMain::setSuffix(const std::string&s) {
     546         411 :   suffix=s;
     547         411 : }
     548             : 
     549             : inline
     550             : bool PlumedMain::getRestart()const {
     551       51260 :   return restart;
     552             : }
     553             : 
     554             : inline
     555             : bool PlumedMain::getCPT()const {
     556       51204 :   return doCheckPoint;
     557             : }
     558             : 
     559             : inline
     560             : void PlumedMain::setExchangeStep(bool s) {
     561         228 :   exchangeStep=s;
     562             : }
     563             : 
     564             : inline
     565             : bool PlumedMain::getExchangeStep()const {
     566       28109 :   return exchangeStep;
     567             : }
     568             : 
     569             : inline
     570             : void PlumedMain::resetActive(bool active) {
     571         114 :   this->active=active;
     572             : }
     573             : 
     574             : inline
     575             : void PlumedMain::updateFlagsPush(bool on) {
     576             :   updateFlags.push(on);
     577             : }
     578             : 
     579             : inline
     580             : void PlumedMain::updateFlagsPop() {
     581             :   updateFlags.pop();
     582          12 : }
     583             : 
     584             : inline
     585             : bool PlumedMain::updateFlagsTop() {
     586     2524117 :   return updateFlags.top();
     587             : }
     588             : 
     589             : inline
     590             : void PlumedMain::setEndPlumed() {
     591         281 :   endPlumed=true;
     592             : }
     593             : 
     594             : inline
     595             : bool PlumedMain::getEndPlumed() const {
     596          24 :   return endPlumed;
     597             : }
     598             : 
     599             : inline
     600             : int PlumedMain::getGpuDeviceId() const {
     601             :   return gpuDeviceId;
     602             : }
     603             : 
     604             : inline
     605             : bool PlumedMain::callErrorHandler(int code,const char* msg)const {
     606             :   if(error_handler.handler) {
     607             :     error_handler.handler(error_handler.ptr,code,msg);
     608             :     return true;
     609             :   } else return false;
     610             : }
     611             : 
     612             : 
     613             : }
     614             : 
     615             : #endif
     616             : 

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