LCOV - code coverage report
Current view: top level - src/utils/traction_wire - Circuit.cpp (source / functions) Coverage Total Hit
Test: lcov.info Lines: 75.1 % 454 341
Test Date: 2024-12-21 15:45:41 Functions: 75.8 % 33 25

            Line data    Source code
       1              : /****************************************************************************/
       2              : // Eclipse SUMO, Simulation of Urban MObility; see https://eclipse.dev/sumo
       3              : // Copyright (C) 2001-2024 German Aerospace Center (DLR) and others.
       4              : // This program and the accompanying materials are made available under the
       5              : // terms of the Eclipse Public License 2.0 which is available at
       6              : // https://www.eclipse.org/legal/epl-2.0/
       7              : // This Source Code may also be made available under the following Secondary
       8              : // Licenses when the conditions for such availability set forth in the Eclipse
       9              : // Public License 2.0 are satisfied: GNU General Public License, version 2
      10              : // or later which is available at
      11              : // https://www.gnu.org/licenses/old-licenses/gpl-2.0-standalone.html
      12              : // SPDX-License-Identifier: EPL-2.0 OR GPL-2.0-or-later
      13              : /****************************************************************************/
      14              : /// @file    Circuit.cpp
      15              : /// @author  Jakub Sevcik (RICE)
      16              : /// @author  Jan Prikryl (RICE)
      17              : /// @date    2019-12-15
      18              : ///
      19              : /// @note    based on console-based C++ DC circuits simulator,
      20              : ///          https://github.com/rka97/Circuits-Solver by
      21              : ///          Ahmad Khaled, Ahmad Essam, Omnia Zakaria, Mary Nader
      22              : ///          and available under MIT license, see https://github.com/rka97/Circuits-Solver/blob/master/LICENSE
      23              : ///
      24              : // Representation of electric circuit of overhead wires
      25              : /****************************************************************************/
      26              : #include <config.h>
      27              : 
      28              : #include <cfloat>
      29              : #include <cstdlib>
      30              : #include <iostream>
      31              : #include <ctime>
      32              : #include <mutex>
      33              : #include <utils/common/MsgHandler.h>
      34              : #include <utils/common/ToString.h>
      35              : #include <microsim/MSGlobals.h>
      36              : #include "Element.h"
      37              : #include "Node.h"
      38              : #include "Circuit.h"
      39              : 
      40              : static std::mutex circuit_lock;
      41              : 
      42          264 : Node* Circuit::addNode(std::string name) {
      43          528 :     if (getNode(name) != nullptr) {
      44            0 :         WRITE_ERRORF(TL("The node: '%' already exists."), name);
      45            0 :         return nullptr;
      46              :     }
      47              : 
      48          264 :     if (nodes->size() == 0) {
      49            8 :         lastId = -1;
      50              :     }
      51          528 :     Node* tNode = new Node(name, this->lastId);
      52          264 :     if (lastId == -1) {
      53            8 :         tNode->setGround(true);
      54              :     }
      55          264 :     this->lastId++;
      56          264 :     circuit_lock.lock();
      57          264 :     this->nodes->push_back(tNode);
      58              :     circuit_lock.unlock();
      59          264 :     return tNode;
      60              : }
      61              : 
      62          223 : void Circuit::eraseNode(Node* node) {
      63          223 :     circuit_lock.lock();
      64          223 :     this->nodes->erase(std::remove(this->nodes->begin(), this->nodes->end(), node), this->nodes->end());
      65              :     circuit_lock.unlock();
      66          223 : }
      67              : 
      68            0 : double Circuit::getCurrent(std::string name) {
      69            0 :     Element* tElement = getElement(name);
      70            0 :     if (tElement == nullptr) {
      71              :         return DBL_MAX;
      72              :     }
      73            0 :     return tElement->getCurrent();
      74              : }
      75              : 
      76            0 : double Circuit::getVoltage(std::string name) {
      77            0 :     Element* tElement = getElement(name);
      78            0 :     if (tElement == nullptr) {
      79            0 :         Node* node = getNode(name);
      80            0 :         if (node != nullptr) {
      81            0 :             return node->getVoltage();
      82              :         } else {
      83              :             return DBL_MAX;
      84              :         }
      85              :     } else {
      86            0 :         return tElement->getVoltage();
      87              :     }
      88              : }
      89              : 
      90            0 : double Circuit::getResistance(std::string name) {
      91            0 :     Element* tElement = getElement(name);
      92            0 :     if (tElement == nullptr) {
      93              :         return -1;
      94              :     }
      95            0 :     return tElement->getResistance();
      96              : }
      97              : 
      98          493 : Node* Circuit::getNode(std::string name) {
      99         3322 :     for (Node* const node : *nodes) {
     100         3050 :         if (node->getName() == name) {
     101              :             return node;
     102              :         }
     103              :     }
     104              :     return nullptr;
     105              : }
     106              : 
     107         5271 : Node* Circuit::getNode(int id) {
     108        47872 :     for (Node* const node : *nodes) {
     109        47490 :         if (node->getId() == id) {
     110              :             return node;
     111              :         }
     112              :     }
     113              :     return nullptr;
     114              : }
     115              : 
     116          604 : Element* Circuit::getElement(std::string name) {
     117         5751 :     for (Element* const el : *elements) {
     118         5327 :         if (el->getName() == name) {
     119              :             return el;
     120              :         }
     121              :     }
     122          851 :     for (Element* const voltageSource : *voltageSources) {
     123          427 :         if (voltageSource->getName() == name) {
     124              :             return voltageSource;
     125              :         }
     126              :     }
     127              :     return nullptr;
     128              : }
     129              : 
     130          382 : Element* Circuit::getElement(int id) {
     131         5380 :     for (Element* const el : *elements) {
     132         4998 :         if (el->getId() == id) {
     133              :             return el;
     134              :         }
     135              :     }
     136          382 :     return getVoltageSource(id);
     137              : }
     138              : 
     139          382 : Element* Circuit::getVoltageSource(int id) {
     140          404 :     for (Element* const voltageSource : *voltageSources) {
     141          404 :         if (voltageSource->getId() == id) {
     142              :             return voltageSource;
     143              :         }
     144              :     }
     145              :     return nullptr;
     146              : }
     147              : 
     148          180 : double Circuit::getTotalPowerOfCircuitSources() {
     149              :     double power = 0;
     150          371 :     for (Element* const voltageSource : *voltageSources) {
     151          191 :         power += voltageSource->getPower();
     152              :     }
     153          180 :     return power;
     154              : }
     155              : 
     156          180 : double Circuit::getTotalCurrentOfCircuitSources() {
     157              :     double current = 0;
     158          371 :     for (Element* const voltageSource : *voltageSources) {
     159          191 :         current += voltageSource->getCurrent();
     160              :     }
     161          180 :     return current;
     162              : }
     163              : 
     164              : // RICE_CHECK: Locking removed?
     165          180 : std::string& Circuit::getCurrentsOfCircuitSource(std::string& currents) {
     166              :     //circuit_lock.lock();
     167              :     currents.clear();
     168          371 :     for (Element* const voltageSource : *voltageSources) {
     169          382 :         currents += toString(voltageSource->getCurrent(), 4) + " ";
     170              :     }
     171          180 :     if (!currents.empty()) {
     172              :         currents.pop_back();
     173              :     }
     174              :     //circuit_lock.unlock();
     175          180 :     return currents;
     176              : }
     177              : 
     178            0 : std::vector<Element*>* Circuit::getCurrentSources() {
     179            0 :     std::vector<Element*>* vsources = new std::vector<Element*>(0);
     180            0 :     for (Element* const el : *elements) {
     181            0 :         if (el->getType() == Element::ElementType::CURRENT_SOURCE_traction_wire) {
     182              :             //if ((*it)->getType() == Element::ElementType::CURRENT_SOURCE_traction_wire && !isnan((*it)->getPowerWanted())) {
     183            0 :             vsources->push_back(el);
     184              :         }
     185              :     }
     186            0 :     return vsources;
     187              : }
     188              : 
     189            0 : void Circuit::lock() {
     190            0 :     circuit_lock.lock();
     191            0 : }
     192              : 
     193            0 : void Circuit::unlock() {
     194              :     circuit_lock.unlock();
     195            0 : }
     196              : 
     197              : #ifdef HAVE_EIGEN
     198         1861 : void Circuit::removeColumn(Eigen::MatrixXd& matrix, int colToRemove) {
     199         1861 :     const int numRows = (int)matrix.rows();
     200         1861 :     const int numCols = (int)matrix.cols() - 1;
     201              : 
     202         1861 :     if (colToRemove < numCols) {
     203         1861 :         matrix.block(0, colToRemove, numRows, numCols - colToRemove) = matrix.rightCols(numCols - colToRemove);
     204              :     }
     205              : 
     206         1861 :     matrix.conservativeResize(numRows, numCols);
     207         1861 : }
     208              : 
     209          180 : bool Circuit::solveEquationsNRmethod(double* eqn, double* vals, std::vector<int>* removable_ids) {
     210              :     // removable_ids includes nodes with voltage source already
     211          180 :     int numofcolumn = (int)voltageSources->size() + (int)nodes->size() - 1;
     212          180 :     int numofeqs = numofcolumn - (int)removable_ids->size();
     213              : 
     214              :     // map equations into matrix A
     215          180 :     Eigen::MatrixXd A = Eigen::Map < Eigen::Matrix<double, Eigen::Dynamic, Eigen::Dynamic, Eigen::RowMajor> >(eqn, numofeqs, numofcolumn);
     216              : 
     217              :     int id;
     218              :     // remove removable columns of matrix A, i.e. remove equations corresponding to nodes with two resistors connected in series
     219              :     // RICE_TODO auto for ?
     220         2041 :     for (std::vector<int>::reverse_iterator it = removable_ids->rbegin(); it != removable_ids->rend(); ++it) {
     221         1861 :         id = (*it >= 0 ? *it : -(*it));
     222         1861 :         removeColumn(A, id);
     223              :     }
     224              : 
     225              :     // detect number of column for each node
     226              :     // in other words: detect elements of x to certain node
     227              :     // in other words: assign number of column to the proper non removable node
     228              :     int j = 0;
     229              :     Element* tElem = nullptr;
     230              :     Node* tNode = nullptr;
     231         2804 :     for (int i = 0; i < numofcolumn; i++) {
     232         2624 :         tNode = getNode(i);
     233         2624 :         if (tNode != nullptr) {
     234         2433 :             if (tNode->isRemovable()) {
     235         1670 :                 tNode->setNumMatrixCol(-1);
     236         1670 :                 continue;
     237              :             } else {
     238          763 :                 if (j > numofeqs) {
     239            0 :                     WRITE_ERROR(TL("Index of renumbered node exceeded the reduced number of equations."));
     240            0 :                     break;
     241              :                 }
     242          763 :                 tNode->setNumMatrixCol(j);
     243          763 :                 j++;
     244          763 :                 continue;
     245              :             }
     246              :         } else {
     247          191 :             tElem = getElement(i);
     248          191 :             if (tElem != nullptr) {
     249          191 :                 if (j > numofeqs) {
     250            0 :                     WRITE_ERROR(TL("Index of renumbered element exceeded the reduced number of equations."));
     251            0 :                     break;
     252              :                 }
     253          191 :                 continue;
     254              :             }
     255              :         }
     256              :         // tNode == nullptr && tElem == nullptr
     257            0 :         WRITE_ERROR(TL("Structural error in reduced circuit matrix."));
     258              :     }
     259              : 
     260              :     // map 'vals' into vector b and initialize solution x
     261              :     Eigen::Map<Eigen::VectorXd> b(vals, numofeqs);
     262          360 :     Eigen::VectorXd x = A.colPivHouseholderQr().solve(b);
     263              : 
     264              :     // initialize Jacobian matrix J and vector dx
     265              :     Eigen::MatrixXd J = A;
     266              :     Eigen::VectorXd dx;
     267              :     // initialize progressively increasing maximal number of Newton-Rhapson iterations
     268              :     int max_iter_of_NR = 10;
     269              :     // value of scaling parameter alpha
     270          180 :     double alpha = 1;
     271              :     // the best (maximum) value of alpha that guarantees the existence of solution
     272          180 :     alphaBest = 0;
     273              :     // reason why is alpha not 1
     274          180 :     alphaReason = ALPHA_NOT_APPLIED;
     275              :     // vector of alphas for that no solution has been found
     276              :     std::vector<double> alpha_notSolution;
     277              :     // initialize progressively decreasing tolerance for alpha
     278              :     double alpha_res = 1e-2;
     279              : 
     280              :     double currentSumActual = 0.0;
     281              :     // solution x corresponding to the alphaBest
     282              :     Eigen::VectorXd x_best = x;
     283              :     bool x_best_exist = true;
     284              : 
     285          360 :     if (x.maxCoeff() > 10e6 || x.minCoeff() < -10e6) {
     286            0 :         WRITE_ERROR(TL("Initial solution x used during solving DC circuit is out of bounds.\n"));
     287              :     }
     288              : 
     289              :     // Search for the suitable scaling value alpha
     290              :     while (true) {
     291              : 
     292              :         int iterNR = 0;
     293              :         // run Newton-Raphson methods
     294              :         while (true) {
     295              : 
     296              :             // update right-hand side vector vals and Jacobian matrix J
     297              :             // node's right-hand side set to zero
     298         1828 :             for (int i = 0; i < numofeqs - (int) voltageSources->size(); i++) {
     299         1387 :                 vals[i] = 0;
     300              :             }
     301              :             J = A;
     302              : 
     303              :             int i = 0;
     304         6963 :             for (auto& node : *nodes) {
     305         6522 :                 if (node->isGround() || node->isRemovable() || node->getNumMatrixRow() == -2) {
     306         5135 :                     continue;
     307              :                 }
     308         1387 :                 if (node->getNumMatrixRow() != i) {
     309            0 :                     WRITE_ERROR(TL("wrongly assigned row of matrix A during solving the circuit"));
     310              :                 }
     311              :                 // TODO: Range-based loop
     312              :                 // loop over all node's elements
     313         3740 :                 for (auto it_element = node->getElements()->begin(); it_element != node->getElements()->end(); it_element++) {
     314         2353 :                     if ((*it_element)->getType() == Element::ElementType::CURRENT_SOURCE_traction_wire) {
     315              :                         // if the element is current source
     316          441 :                         if ((*it_element)->isEnabled()) {
     317              :                             double diff_voltage;
     318          441 :                             int PosNode_NumACol = (*it_element)->getPosNode()->getNumMatrixCol();
     319          441 :                             int NegNode_NumACol = (*it_element)->getNegNode()->getNumMatrixCol();
     320              :                             // compute voltage on current source
     321          441 :                             if (PosNode_NumACol == -1) {
     322              :                                 // if the positive node is the ground => U = 0 - phi(NegNode)
     323            0 :                                 diff_voltage = -x[NegNode_NumACol];
     324          441 :                             } else if (NegNode_NumACol == -1) {
     325              :                                 // if the negative node is the ground => U = phi(PosNode) - 0
     326          441 :                                 diff_voltage = x[PosNode_NumACol];
     327              :                             } else {
     328              :                                 // U = phi(PosNode) - phi(NegNode)
     329            0 :                                 diff_voltage = (x[PosNode_NumACol] - x[NegNode_NumACol]);
     330              :                             }
     331              : 
     332          441 :                             if ((*it_element)->getPosNode() == node) {
     333              :                                 // the positive current (the element is consuming energy if powerWanted > 0) is flowing from the positive node (sign minus)
     334          441 :                                 vals[i] -= alpha * (*it_element)->getPowerWanted() / diff_voltage;
     335          441 :                                 (*it_element)->setCurrent(-alpha * (*it_element)->getPowerWanted() / diff_voltage);
     336          441 :                                 if (PosNode_NumACol != -1) {
     337              :                                     // -1* d_b/d_phiPos = -1* d(-alpha*P/(phiPos-phiNeg) )/d_phiPos = -1* (--alpha*P/(phiPos-phiNeg)^2 )
     338          441 :                                     J(i, PosNode_NumACol) -= alpha * (*it_element)->getPowerWanted() / diff_voltage / diff_voltage;
     339              :                                 }
     340          441 :                                 if (NegNode_NumACol != -1) {
     341              :                                     // -1* d_b/d_phiNeg = -1* d(-alpha*P/(phiPos-phiNeg) )/d_phiNeg = -1* (---alpha*P/(phiPos-phiNeg)^2 )
     342            0 :                                     J(i, NegNode_NumACol) += alpha * (*it_element)->getPowerWanted() / diff_voltage / diff_voltage;
     343              :                                 }
     344              :                             } else {
     345              :                                 // the positive current (the element is consuming energy if powerWanted > 0) is flowing to the negative node (sign plus)
     346            0 :                                 vals[i] += alpha * (*it_element)->getPowerWanted() / diff_voltage;
     347              :                                 //Question: sign before alpha - or + during setting current?
     348              :                                 //Answer: sign before alpha is minus since we assume positive powerWanted if the current element behaves as load
     349              :                                 // (*it_element)->setCurrent(-alpha * (*it_element)->getPowerWanted() / diff_voltage);
     350              :                                 // Note: we should never reach this part of code since the authors assumes the negative node of current source as the ground node
     351            0 :                                 WRITE_WARNING(TL("The negative node of current source is not the ground."))
     352            0 :                                 if (PosNode_NumACol != -1) {
     353              :                                     // -1* d_b/d_phiPos = -1* d(alpha*P/(phiPos-phiNeg) )/d_phiPos = -1* (-alpha*P/(phiPos-phiNeg)^2 )
     354            0 :                                     J(i, PosNode_NumACol) += alpha * (*it_element)->getPowerWanted() / diff_voltage / diff_voltage;
     355              :                                 }
     356            0 :                                 if (NegNode_NumACol != -1) {
     357              :                                     // -1* d_b/d_phiNeg = -1* d(alpha*P/(phiPos-phiNeg) )/d_phiNeg = -1* (--alpha*P/(phiPos-phiNeg)^2 )
     358            0 :                                     J(i, NegNode_NumACol) -= alpha * (*it_element)->getPowerWanted() / diff_voltage / diff_voltage;
     359              :                                 }
     360              :                             }
     361              :                         }
     362              :                     }
     363              :                 }
     364         1387 :                 i++;
     365              :             }
     366              : 
     367              : 
     368              :             // RICE_CHECK @20210409 This had to be merged into the master/main manually.
     369              :             // Sum of currents going through the all voltage sources
     370              :             // the sum is over all nodes, but the nonzero nodes are only those neighboring with current sources,
     371              :             // so the sum is negative sum of currents through/from current sources representing trolleybuses
     372              :             currentSumActual = 0;
     373         1828 :             for (i = 0; i < numofeqs - (int)voltageSources->size(); i++) {
     374         1387 :                 currentSumActual -= vals[i];
     375              :             }
     376              :             // RICE_TODO @20210409 This epsilon should be specified somewhere as a constant. Or should be a parameter.
     377          441 :             if ((A * x - b).norm() < 1e-6) {
     378              :                 //current limits
     379          180 :                 if (currentSumActual > getCurrentLimit() && MSGlobals::gOverheadWireCurrentLimits) {
     380            0 :                     alphaReason = ALPHA_CURRENT_LIMITS;
     381            0 :                     alpha_notSolution.push_back(alpha);
     382              :                     if (x_best_exist) {
     383              :                         x = x_best;
     384              :                     }
     385              :                     break;
     386              :                 }
     387              :                 //voltage limits 70% - 120% of nominal voltage
     388              :                 // RICE_TODO @20210409 Again, these limits should be parametrized.
     389          360 :                 if (x.maxCoeff() > voltageSources->front()->getVoltage() * 1.2 || x.minCoeff() < voltageSources->front()->getVoltage() * 0.7) {
     390            0 :                     alphaReason = ALPHA_VOLTAGE_LIMITS;
     391            0 :                     alpha_notSolution.push_back(alpha);
     392              :                     if (x_best_exist) {
     393              :                         x = x_best;
     394              :                     }
     395              :                     break;
     396              :                 }
     397              : 
     398          180 :                 alphaBest = alpha;
     399              :                 x_best = x;
     400              :                 x_best_exist = true;
     401          180 :                 break;
     402          261 :             } else if (iterNR == max_iter_of_NR) {
     403            0 :                 alphaReason = ALPHA_NOT_CONVERGING;
     404            0 :                 alpha_notSolution.push_back(alpha);
     405              :                 if (x_best_exist) {
     406              :                     x = x_best;
     407              :                 }
     408              :                 break;
     409              :             }
     410              : 
     411              :             // Newton=Rhapson iteration
     412          261 :             dx = -J.colPivHouseholderQr().solve(A * x - b);
     413          261 :             x = x + dx;
     414          261 :             ++iterNR;
     415          261 :         }
     416              : 
     417          180 :         if (alpha_notSolution.empty()) {
     418              :             // no alpha without solution is in the alpha_notSolution, so the solving procedure is terminating
     419              :             break;
     420              :         }
     421              : 
     422            0 :         if ((alpha_notSolution.back() - alphaBest) < alpha_res) {
     423            0 :             max_iter_of_NR = 2 * max_iter_of_NR;
     424              :             // RICE_TODO @20210409 Why division by 10?
     425              :             // it follows Sevcik, Jakub, et al. "Solvability of the Power Flow Problem in DC Overhead Wire Circuit Modeling." Applications of Mathematics (2021): 1-19.
     426              :             // see Alg 2 (progressive decrease of optimality tolerance)
     427            0 :             alpha_res = alpha_res / 10;
     428              :             // RICE_TODO @20210409 This epsilon should be specified somewhere as a constant. Or should be a parameter.
     429            0 :             if (alpha_res < 5e-5) {
     430              :                 break;
     431              :             }
     432            0 :             alpha = alpha_notSolution.back();
     433              :             alpha_notSolution.pop_back();
     434            0 :             continue;
     435              :         }
     436              : 
     437            0 :         alpha = alphaBest + 0.5 * (alpha_notSolution.back() - alphaBest);
     438              :     }
     439              : 
     440              :     // vals is pointer to memory and we use it now for saving solution x_best instead of right-hand side b
     441          943 :     for (int i = 0; i < numofeqs; i++) {
     442          763 :         vals[i] = x_best[i];
     443              :     }
     444              : 
     445              :     // RICE_TODO: Describe what is happening here.
     446              :     // we take x_best and alphaBest and update current values in current sources in order to be in agreement with the solution
     447              :     int i = 0;
     448         2793 :     for (auto& node : *nodes) {
     449         2613 :         if (node->isGround() || node->isRemovable() || node->getNumMatrixRow() == -2) {
     450         2041 :             continue;
     451              :         }
     452          572 :         if (node->getNumMatrixRow() != i) {
     453            0 :             WRITE_ERROR(TL("wrongly assigned row of matrix A during solving the circuit"));
     454              :         }
     455         1546 :         for (auto it_element = node->getElements()->begin(); it_element != node->getElements()->end(); it_element++) {
     456          974 :             if ((*it_element)->getType() == Element::ElementType::CURRENT_SOURCE_traction_wire) {
     457          180 :                 if ((*it_element)->isEnabled()) {
     458              :                     double diff_voltage;
     459          180 :                     int PosNode_NumACol = (*it_element)->getPosNode()->getNumMatrixCol();
     460          180 :                     int NegNode_NumACol = (*it_element)->getNegNode()->getNumMatrixCol();
     461          180 :                     if (PosNode_NumACol == -1) {
     462            0 :                         diff_voltage = -x_best[NegNode_NumACol];
     463          180 :                     } else if (NegNode_NumACol == -1) {
     464          180 :                         diff_voltage = x_best[PosNode_NumACol];
     465              :                     } else {
     466            0 :                         diff_voltage = (x_best[PosNode_NumACol] - x_best[NegNode_NumACol]);
     467              :                     }
     468              : 
     469          180 :                     if ((*it_element)->getPosNode() == node) {
     470          180 :                         (*it_element)->setCurrent(-alphaBest * (*it_element)->getPowerWanted() / diff_voltage);
     471              :                     } else {
     472              :                         //Question: sign before alpha - or + during setting current?
     473              :                         //Answer: sign before alpha is minus since we assume positive powerWanted if the current element behaves as load
     474              :                         // (*it_element)->setCurrent(-alphaBest * (*it_element)->getPowerWanted() / diff_voltage);
     475              :                         // Note: we should never reach this part of code since the authors assumes the negative node of current source as the ground node
     476            0 :                         WRITE_WARNING(TL("The negative node of current source is not the ground."))
     477              :                     }
     478              :                 }
     479              :             }
     480              :         }
     481          572 :         i++;
     482              :     }
     483              : 
     484          180 :     return true;
     485          180 : }
     486              : #endif
     487              : 
     488          180 : void Circuit::deployResults(double* vals, std::vector<int>* removable_ids) {
     489              :     // vals are the solution x
     490              : 
     491          180 :     int numofcolumn = (int)voltageSources->size() + (int)nodes->size() - 1;
     492          180 :     int numofeqs = numofcolumn - (int)removable_ids->size();
     493              : 
     494              :     //loop over non-removable nodes: we assign the computed voltage to the non-removables nodes
     495              :     int j = 0;
     496              :     Element* tElem = nullptr;
     497              :     Node* tNode = nullptr;
     498         2804 :     for (int i = 0; i < numofcolumn; i++) {
     499         2624 :         tNode = getNode(i);
     500         2624 :         if (tNode != nullptr)
     501         2433 :             if (tNode->isRemovable()) {
     502         1670 :                 continue;
     503              :             } else {
     504          763 :                 if (j > numofeqs) {
     505            0 :                     WRITE_ERROR(TL("Results deployment during circuit evaluation was unsuccessful."));
     506            0 :                     break;
     507              :                 }
     508          763 :                 tNode->setVoltage(vals[j]);
     509          763 :                 j++;
     510          763 :                 continue;
     511              :             } else {
     512          191 :             tElem = getElement(i);
     513          191 :             if (tElem != nullptr) {
     514          191 :                 if (j > numofeqs) {
     515            0 :                     WRITE_ERROR(TL("Results deployment during circuit evaluation was unsuccessful."));
     516            0 :                     break;
     517              :                 }
     518              :                 // tElem should be voltage source - the current through voltage source is computed in a loop below
     519              :                 // if tElem is current source (JS thinks that no current source's id <= numofeqs), the current is already assign at the end of solveEquationsNRmethod method
     520          191 :                 continue;
     521              :             }
     522              :         }
     523            0 :         WRITE_ERROR(TL("Results deployment during circuit evaluation was unsuccessful."));
     524              :     }
     525              : 
     526              :     Element* el1 = nullptr;
     527              :     Element* el2 = nullptr;
     528              :     Node* nextNONremovableNode1 = nullptr;
     529              :     Node* nextNONremovableNode2 = nullptr;
     530              :     // interpolate result of voltage to removable nodes
     531         2793 :     for (Node* const node : *nodes) {
     532         2613 :         if (!node->isRemovable()) {
     533          943 :             continue;
     534              :         }
     535         1670 :         if (node->getElements()->size() != 2) {
     536            0 :             continue;
     537              :         }
     538              : 
     539         1670 :         el1 = node->getElements()->front();
     540         1670 :         el2 = node->getElements()->back();
     541         1670 :         nextNONremovableNode1 = el1->getTheOtherNode(node);
     542         1670 :         nextNONremovableNode2 = el2->getTheOtherNode(node);
     543         1670 :         double x = el1->getResistance();
     544         1670 :         double y = el2->getResistance();
     545              : 
     546         2273 :         while (nextNONremovableNode1->isRemovable()) {
     547          603 :             el1 = nextNONremovableNode1->getAnOtherElement(el1);
     548          603 :             x += el1->getResistance();
     549          603 :             nextNONremovableNode1 = el1->getTheOtherNode(nextNONremovableNode1);
     550              :         }
     551              : 
     552         4133 :         while (nextNONremovableNode2->isRemovable()) {
     553         2463 :             el2 = nextNONremovableNode2->getAnOtherElement(el2);
     554         2463 :             y += el2->getResistance();
     555         2463 :             nextNONremovableNode2 = el2->getTheOtherNode(nextNONremovableNode2);
     556              :         }
     557              : 
     558         1670 :         x = x / (x + y);
     559         1670 :         y = ((1 - x) * nextNONremovableNode1->getVoltage()) + (x * nextNONremovableNode2->getVoltage());
     560         1670 :         node->setVoltage(((1 - x)*nextNONremovableNode1->getVoltage()) + (x * nextNONremovableNode2->getVoltage()));
     561         1670 :         node->setRemovability(false);
     562              :     }
     563              : 
     564              :     // Update the electric currents for voltage sources (based on Kirchhof's law: current out = current in)
     565          371 :     for (Element* const voltageSource : *voltageSources) {
     566              :         double currentSum = 0;
     567          754 :         for (Element* const el : *voltageSource->getPosNode()->getElements()) {
     568              :             // loop over all elements on PosNode excluding the actual voltage source it
     569          563 :             if (el != voltageSource) {
     570              :                 //currentSum += el->getCurrent();
     571          372 :                 currentSum += (voltageSource->getPosNode()->getVoltage() - el->getTheOtherNode(voltageSource->getPosNode())->getVoltage()) / el->getResistance();
     572          372 :                 if (el->getType() == Element::ElementType::VOLTAGE_SOURCE_traction_wire) {
     573            0 :                     WRITE_WARNING(TL("Cannot assign unambigous electric current value to two voltage sources connected in parallel at the same node."));
     574              :                 }
     575              :             }
     576              :         }
     577          191 :         voltageSource->setCurrent(currentSum);
     578              :     }
     579          180 : }
     580              : 
     581            0 : Circuit::Circuit() {
     582            0 :     nodes = new std::vector<Node*>(0);
     583            0 :     elements = new std::vector<Element*>(0);
     584            0 :     voltageSources = new std::vector<Element*>(0);
     585            0 :     lastId = 0;
     586            0 :     iscleaned = true;
     587            0 :     circuitCurrentLimit = INFINITY;
     588            0 : }
     589              : 
     590            8 : Circuit::Circuit(double currentLimit) {
     591            8 :     nodes = new std::vector<Node*>(0);
     592            8 :     elements = new std::vector<Element*>(0);
     593            8 :     voltageSources = new std::vector<Element*>(0);
     594            8 :     lastId = 0;
     595            8 :     iscleaned = true;
     596            8 :     circuitCurrentLimit = currentLimit;
     597            8 : }
     598              : 
     599              : #ifdef HAVE_EIGEN
     600          180 : bool Circuit::_solveNRmethod() {
     601          180 :     double* eqn = nullptr;
     602          180 :     double* vals = nullptr;
     603              :     std::vector<int> removable_ids;
     604              : 
     605          180 :     detectRemovableNodes(&removable_ids);
     606          180 :     createEquationsNRmethod(eqn, vals, &removable_ids);
     607          180 :     if (!solveEquationsNRmethod(eqn, vals, &removable_ids)) {
     608              :         return false;
     609              :     }
     610              :     // vals are now the solution x of the circuit
     611          180 :     deployResults(vals, &removable_ids);
     612              : 
     613          180 :     delete[] eqn;
     614          180 :     delete[] vals;
     615              :     return true;
     616          180 : }
     617              : 
     618          180 : bool Circuit::solve() {
     619          180 :     if (!iscleaned) {
     620            0 :         cleanUpSP();
     621              :     }
     622          180 :     return this->_solveNRmethod();
     623              : }
     624              : 
     625          180 : bool Circuit::createEquationsNRmethod(double*& eqs, double*& vals, std::vector<int>* removable_ids) {
     626              :     // removable_ids does not include nodes with voltage source yet
     627              : 
     628              :     // number of voltage sources + nodes without the ground node
     629          180 :     int n = (int)(voltageSources->size() + nodes->size() - 1);
     630              :     // number of equations
     631              :     // assumption: each voltage source has different positive node and common ground node,
     632              :     //             i.e. any node excluding the ground node is connected to 0 or 1 voltage source
     633          180 :     int m = n - (int)(removable_ids->size() + voltageSources->size());
     634              : 
     635              :     // allocate and initialize zero matrix eqs and vector vals
     636          180 :     eqs = new double[m * n];
     637          180 :     vals = new double[m];
     638              : 
     639          943 :     for (int i = 0; i < m; i++) {
     640          763 :         vals[i] = 0;
     641        11603 :         for (int j = 0; j < n; j++) {
     642        10840 :             eqs[i * n + j] = 0;
     643              :         }
     644              :     }
     645              : 
     646              :     // loop over all nodes
     647              :     int i = 0;
     648         2793 :     for (std::vector<Node*>::iterator it = nodes->begin(); it != nodes->end(); it++) {
     649         2613 :         if ((*it)->isGround() || (*it)->isRemovable()) {
     650              :             // if the node is grounded or is removable set the corresponding number of row in matrix to -1 (no equation in eqs)
     651         1850 :             (*it)->setNumMatrixRow(-1);
     652         1850 :             continue;
     653              :         }
     654              :         assert(i < m);
     655              :         // constitute the equation corresponding to node it, add all passed voltage source elements into removable_ids
     656          763 :         bool noVoltageSource = createEquationNRmethod((*it), (eqs + n * i), vals[i], removable_ids);
     657              :         // if the node it has element of type "voltage source" we do not use the equation, because some value of current throw the voltage source can be always find
     658          763 :         if (noVoltageSource) {
     659          572 :             (*it)->setNumMatrixRow(i);
     660          572 :             i++;
     661              :         } else {
     662          191 :             (*it)->setNumMatrixRow(-2);
     663          191 :             vals[i] = 0;
     664         2903 :             for (int j = 0; j < n; j++) {
     665         2712 :                 eqs[n * i + j] = 0;
     666              :             }
     667              :         }
     668              :     }
     669              : 
     670              :     // removable_ids includes nodes with voltage source already
     671          180 :     std::sort(removable_ids->begin(), removable_ids->end(), std::less<int>());
     672              : 
     673              : 
     674          371 :     for (std::vector<Element*>::iterator it = voltageSources->begin(); it != voltageSources->end(); it++) {
     675              :         assert(i < m);
     676          191 :         createEquation((*it), (eqs + n * i), vals[i]);
     677          191 :         i++;
     678              :     }
     679              : 
     680          180 :     return true;
     681              : }
     682              : 
     683          191 : bool Circuit::createEquation(Element* vsource, double* eqn, double& val) {
     684          191 :     if (!vsource->getPosNode()->isGround()) {
     685          191 :         eqn[vsource->getPosNode()->getId()] = 1;
     686              :     }
     687          191 :     if (!vsource->getNegNode()->isGround()) {
     688            0 :         eqn[vsource->getNegNode()->getId()] = -1;
     689              :     }
     690          191 :     if (vsource->isEnabled()) {
     691          191 :         val = vsource->getVoltage();
     692              :     } else {
     693            0 :         val = 0;
     694              :     }
     695          191 :     return true;
     696              : }
     697              : 
     698          763 : bool Circuit::createEquationNRmethod(Node* node, double* eqn, double& val, std::vector<int>* removable_ids) {
     699              :     // loop over all elements connected to the node
     700         1896 :     for (std::vector<Element*>::iterator it = node->getElements()->begin(); it != node->getElements()->end(); it++) {
     701              :         double x;
     702         1324 :         switch ((*it)->getType()) {
     703              :             case Element::ElementType::RESISTOR_traction_wire:
     704          953 :                 if ((*it)->isEnabled()) {
     705          953 :                     x = (*it)->getResistance();
     706              :                     // go through all neighboring removable nodes and sum resistance of resistors in the serial branch
     707          953 :                     Node* nextNONremovableNode = (*it)->getTheOtherNode(node);
     708          953 :                     Element* nextSerialResistor = *it;
     709         3535 :                     while (nextNONremovableNode->isRemovable()) {
     710         2582 :                         nextSerialResistor = nextNONremovableNode->getAnOtherElement(nextSerialResistor);
     711         2582 :                         x += nextSerialResistor->getResistance();
     712         2582 :                         nextNONremovableNode = nextSerialResistor->getTheOtherNode(nextNONremovableNode);
     713              :                     }
     714              :                     // compute inverse value and place/add this value at proper places in eqn
     715          953 :                     x = 1 / x;
     716          953 :                     eqn[node->getId()] += x;
     717              : 
     718          953 :                     if (!nextNONremovableNode->isGround()) {
     719          953 :                         eqn[nextNONremovableNode->getId()] -= x;
     720              :                     }
     721              :                 }
     722              :                 break;
     723              :             case Element::ElementType::CURRENT_SOURCE_traction_wire:
     724          180 :                 if ((*it)->isEnabled()) {
     725              :                     // initialize current in current source
     726          180 :                     if ((*it)->getPosNode() == node) {
     727          180 :                         x = -(*it)->getPowerWanted() / voltageSources->front()->getVoltage();
     728              :                     } else {
     729            0 :                         x = (*it)->getPowerWanted() / voltageSources->front()->getVoltage();
     730              :                     }
     731              :                 } else {
     732              :                     x = 0;
     733              :                 }
     734          180 :                 val += x;
     735          180 :                 break;
     736              :             case Element::ElementType::VOLTAGE_SOURCE_traction_wire:
     737          191 :                 if ((*it)->getPosNode() == node) {
     738              :                     x = -1;
     739              :                 } else {
     740              :                     x = 1;
     741              :                 }
     742          191 :                 eqn[(*it)->getId()] += x;
     743              :                 // equations with voltage source can be ignored, because some value of current throw the voltage source can be always find
     744          191 :                 removable_ids->push_back((*it)->getId());
     745          191 :                 return false;
     746              :                 break;
     747              :             case Element::ElementType::ERROR_traction_wire:
     748              :                 return false;
     749              :                 break;
     750              :         }
     751              :     }
     752              :     return true;
     753              : }
     754              : #endif
     755              : 
     756              : /**
     757              :  * Select removable nodes, i.e. nodes that are NOT the ground of the circuit
     758              :  * and that have exactly two resistor elements connected. Ids of those
     759              :  * removable nodes are added into the internal vector `removable_ids`.
     760              :  */
     761          180 : void Circuit::detectRemovableNodes(std::vector<int>* removable_ids) {
     762              :     // loop over all nodes in the circuit
     763         2793 :     for (std::vector<Node*>::iterator it = nodes->begin(); it != nodes->end(); it++) {
     764              :         // if the node is connected to two elements and is not the ground
     765         2613 :         if ((*it)->getElements()->size() == 2 && !(*it)->isGround()) {
     766              :             // set such node by default as removable. But check if the two elements are both resistors
     767         1691 :             (*it)->setRemovability(true);
     768         5031 :             for (std::vector<Element*>::iterator it2 = (*it)->getElements()->begin(); it2 != (*it)->getElements()->end(); it2++) {
     769         3361 :                 if ((*it2)->getType() != Element::ElementType::RESISTOR_traction_wire) {
     770           21 :                     (*it)->setRemovability(false);
     771              :                     break;
     772              :                 }
     773              :             }
     774         1691 :             if ((*it)->isRemovable()) {
     775              :                 //if the node is removable add pointer into the vector of removable nodes
     776         1670 :                 removable_ids->push_back((*it)->getId());
     777              :             }
     778              :         } else {
     779          922 :             (*it)->setRemovability(false);
     780              :         }
     781              :     }
     782              :     // sort the vector of removable ids
     783          180 :     std::sort(removable_ids->begin(), removable_ids->end(), std::less<int>());
     784          180 :     return;
     785              : }
     786              : 
     787          424 : Element* Circuit::addElement(std::string name, double value, Node* pNode, Node* nNode, Element::ElementType et) {
     788              :     // RICE_CHECK: This seems to be a bit of work in progress, is it final?
     789              :     // if ((et == Element::ElementType::RESISTOR_traction_wire && value <= 0) || et == Element::ElementType::ERROR_traction_wire) {
     790          424 :     if (et == Element::ElementType::RESISTOR_traction_wire && value <= 1e-6) {
     791              :         //due to numeric problems
     792              :         // RICE_TODO @20210409 This epsilon should be specified somewhere as a constant. Or should be a parameter.
     793            0 :         if (value > -1e-6) {
     794              :             value = 1e-6;
     795            0 :             WRITE_WARNING(TL("Trying to add resistor element into the overhead wire circuit with resistance < 1e-6. "))
     796              :         } else {
     797            0 :             WRITE_ERROR(TL("Trying to add resistor element into the overhead wire circuit with resistance < 0. "))
     798            0 :             return nullptr;
     799              :         }
     800              :     }
     801              : 
     802          424 :     Element* e = getElement(name);
     803              : 
     804          424 :     if (e != nullptr) {
     805              :         //WRITE_ERRORF(TL("The element: '%' already exists."), name);
     806            0 :         std::cout << "The element: '" + name + "' already exists.";
     807            0 :         return nullptr;
     808              :     }
     809              : 
     810          848 :     e = new Element(name, et, value);
     811          424 :     if (e->getType() == Element::ElementType::VOLTAGE_SOURCE_traction_wire) {
     812           11 :         e->setId(lastId);
     813           11 :         lastId++;
     814           11 :         circuit_lock.lock();
     815           11 :         this->voltageSources->push_back(e);
     816              :         circuit_lock.unlock();
     817              :     } else {
     818          413 :         circuit_lock.lock();
     819          413 :         this->elements->push_back(e);
     820              :         circuit_lock.unlock();
     821              :     }
     822              : 
     823          424 :     e->setPosNode(pNode);
     824          424 :     e->setNegNode(nNode);
     825              : 
     826          424 :     pNode->addElement(e);
     827          424 :     nNode->addElement(e);
     828              :     return e;
     829              : }
     830              : 
     831          402 : void Circuit::eraseElement(Element* element) {
     832          402 :     element->getPosNode()->eraseElement(element);
     833          402 :     element->getNegNode()->eraseElement(element);
     834          402 :     circuit_lock.lock();
     835          402 :     this->elements->erase(std::remove(this->elements->begin(), this->elements->end(), element), this->elements->end());
     836              :     circuit_lock.unlock();
     837          402 : }
     838              : 
     839           15 : void Circuit::replaceAndDeleteNode(Node* unusedNode, Node* newNode) {
     840              :     //replace element node if it is unusedNode
     841           27 :     for (auto& voltageSource : *voltageSources) {
     842           12 :         if (voltageSource->getNegNode() == unusedNode) {
     843            0 :             voltageSource->setNegNode(newNode);
     844            0 :             newNode->eraseElement(voltageSource);
     845            0 :             newNode->addElement(voltageSource);
     846              :         }
     847           12 :         if (voltageSource->getPosNode() == unusedNode) {
     848            0 :             voltageSource->setPosNode(newNode);
     849            0 :             newNode->eraseElement(voltageSource);
     850            0 :             newNode->addElement(voltageSource);
     851              :         }
     852              :     }
     853           60 :     for (auto& element : *elements) {
     854           45 :         if (element->getNegNode() == unusedNode) {
     855            0 :             element->setNegNode(newNode);
     856            0 :             newNode->eraseElement(element);
     857            0 :             newNode->addElement(element);
     858              :         }
     859           45 :         if (element->getPosNode() == unusedNode) {
     860           15 :             element->setPosNode(newNode);
     861           15 :             newNode->eraseElement(element);
     862           15 :             newNode->addElement(element);
     863              :         }
     864              :     }
     865              : 
     866              :     //erase unusedNode from nodes vector
     867           15 :     this->eraseNode(unusedNode);
     868              : 
     869              :     //modify id of other elements and nodes
     870           15 :     int modLastId = this->getLastId() - 1;
     871           15 :     if (unusedNode->getId() != modLastId) {
     872           15 :         Node* node_last = this->getNode(modLastId);
     873           15 :         if (node_last != nullptr) {
     874           15 :             node_last->setId(unusedNode->getId());
     875              :         } else {
     876            0 :             Element* elem_last = this->getVoltageSource(modLastId);
     877            0 :             if (elem_last != nullptr) {
     878            0 :                 elem_last->setId(unusedNode->getId());
     879              :             } else {
     880            0 :                 WRITE_ERROR(TL("The element or node with the last Id was not found in the circuit!"));
     881              :             }
     882              :         }
     883              :     }
     884              : 
     885              :     this->decreaseLastId();
     886           15 :     delete unusedNode;
     887           15 : }
     888              : 
     889            0 : void Circuit::cleanUpSP() {
     890            0 :     for (std::vector<Element*>::iterator it = elements->begin(); it != elements->end(); it++) {
     891            0 :         if ((*it)->getType() != Element::ElementType::RESISTOR_traction_wire) {
     892            0 :             (*it)->setEnabled(true);
     893              :         }
     894              :     }
     895              : 
     896            0 :     for (std::vector<Element*>::iterator it = voltageSources->begin(); it != voltageSources->end(); it++) {
     897            0 :         (*it)->setEnabled(true);
     898              :     }
     899            0 :     this->iscleaned = true;
     900            0 : }
     901              : 
     902            8 : bool Circuit::checkCircuit(std::string substationId) {
     903              :     // check empty nodes
     904           77 :     for (std::vector<Node*>::iterator it = nodes->begin(); it != nodes->end(); it++) {
     905           69 :         if ((*it)->getNumOfElements() < 2) {
     906              :             //cout << "WARNING: Node [" << (*it)->getName() << "] is connected to less than two elements, please enter other elements.\n";
     907           24 :             if ((*it)->getNumOfElements() < 1) {
     908              :                 return false;
     909              :             }
     910              :         }
     911              :     }
     912              :     // check voltage sources
     913           19 :     for (std::vector<Element*>::iterator it = voltageSources->begin(); it != voltageSources->end(); it++) {
     914           11 :         if ((*it)->getPosNode() == nullptr || (*it)->getNegNode() == nullptr) {
     915              :             //cout << "ERROR: Voltage Source [" << (*it)->getName() << "] is connected to less than two nodes, please enter the other end.\n";
     916            0 :             WRITE_ERRORF(TL("Circuit Voltage Source '%' is connected to less than two nodes, please adjust the definition of the section (with substation '%')."), (*it)->getName(), substationId);
     917              :             return false;
     918              :         }
     919              :     }
     920              :     // check other elements
     921           61 :     for (std::vector<Element*>::iterator it = elements->begin(); it != elements->end(); it++) {
     922           53 :         if ((*it)->getPosNode() == nullptr || (*it)->getNegNode() == nullptr) {
     923              :             //cout << "ERROR: Element [" << (*it)->getName() << "] is connected to less than two nodes, please enter the other end.\n";
     924            0 :             WRITE_ERRORF(TL("Circuit Element '%' is connected to less than two nodes, please adjust the definition of the section (with substation '%')."), (*it)->getName(), substationId);
     925              :             return false;
     926              :         }
     927              :     }
     928              : 
     929              :     // check connectivity
     930            8 :     int num = (int)nodes->size() + getNumVoltageSources() - 1;
     931            8 :     bool* nodesVisited = new bool[num];
     932           80 :     for (int i = 0; i < num; i++) {
     933           72 :         nodesVisited[i] = false;
     934              :     }
     935              :     // TODO: Probably unused
     936              :     // int id = -1;
     937            8 :     if (!getNode(-1)->isGround()) {
     938              :         //cout << "ERROR: Node id -1 is not the ground \n";
     939            0 :         WRITE_ERRORF(TL("Circuit Node with id '-1' is not the grounded, please adjust the definition of the section (with substation '%')."), substationId);
     940              :     }
     941            8 :     std::vector<Node*>* queue = new std::vector<Node*>(0);
     942            8 :     Node* node = nullptr;
     943            8 :     Node* neigboringNode = nullptr;
     944              :     //start with (voltageSources->front()->getPosNode())
     945            8 :     nodesVisited[voltageSources->front()->getId()] = 1;
     946            8 :     node = voltageSources->front()->getPosNode();
     947            8 :     queue->push_back(node);
     948              : 
     949          122 :     while (!queue->empty()) {
     950          114 :         node = queue->back();
     951              :         queue->pop_back();
     952          114 :         if (!nodesVisited[node->getId()]) {
     953           61 :             nodesVisited[node->getId()] = true;
     954          178 :             for (auto it = node->getElements()->begin(); it != node->getElements()->end(); it++) {
     955          117 :                 neigboringNode = (*it)->getTheOtherNode(node);
     956          117 :                 if (!neigboringNode->isGround()) {
     957          106 :                     queue->push_back(neigboringNode);
     958           11 :                 } else if ((*it)->getType() == Element::ElementType::VOLTAGE_SOURCE_traction_wire) {
     959              :                     /// there used to be == 1 which was probably a typo ... check!
     960           11 :                     nodesVisited[(*it)->getId()] = 1;
     961            0 :                 } else if ((*it)->getType() == Element::ElementType::RESISTOR_traction_wire) {
     962              :                     //cout << "ERROR: The resistor type connects the ground \n";
     963            0 :                     WRITE_ERRORF(TL("A Circuit Resistor Element connects the ground, please adjust the definition of the section (with substation '%')."), substationId);
     964              :                 }
     965              :             }
     966              :         }
     967              :     }
     968              : 
     969           80 :     for (int i = 0; i < num; i++) {
     970           72 :         if (nodesVisited[i] == 0) {
     971              :             //cout << "ERROR: Node or voltage source with id " << (i) << " has been not visited during checking of the circuit => Disconnectivity of the circuit. \n";
     972            0 :             WRITE_WARNINGF(TL("Circuit Node or Voltage Source with internal id '%' has been not visited during checking of the circuit. The circuit is disconnected, please adjust the definition of the section (with substation '%')."), toString(i), substationId);
     973              :         }
     974              :     }
     975              : 
     976            8 :     return true;
     977              : }
     978              : 
     979          196 : int Circuit::getNumVoltageSources() {
     980          196 :     return (int) voltageSources->size();
     981              : }
        

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