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            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    MSCFModel_EIDM.cpp
      15              : /// @author  Dominik Salles
      16              : /// @date    Fri, 06 Jul 2018
      17              : 
      18              : /// Originalfile MSCFModel_IDM.cpp from
      19              : /// @author  Tobias Mayer
      20              : /// @author  Daniel Krajzewicz
      21              : /// @author  Michael Behrisch
      22              : /// @date    Thu, 03 Sep 2009
      23              : ///
      24              : // The Extended Intelligent Driver Model (EIDM) car-following model
      25              : //
      26              : // Publication: Salles, Dominik, S. Kaufmann and H. Reuss. “Extending the Intelligent Driver
      27              : // Model in SUMO and Verifying the Drive Off Trajectories with Aerial
      28              : // Measurements.” (2020).
      29              : /****************************************************************************/
      30              : 
      31              : 
      32              : // ===========================================================================
      33              : // included modules
      34              : // ===========================================================================
      35              : #include <config.h>
      36              : 
      37              : #include "MSCFModel_EIDM.h"
      38              : #include <microsim/MSVehicle.h>
      39              : #include <microsim/MSLane.h>
      40              : #include <microsim/MSEdge.h>
      41              : #include <microsim/MSLink.h>
      42              : #include <microsim/devices/MSDevice_GLOSA.h>
      43              : #include <utils/common/RandHelper.h>
      44              : #include <utils/common/SUMOTime.h>
      45              : 
      46              : //#define DEBUG_V
      47              : 
      48              : #define EST_REAC_THRESHOLD 3. // under this threshold estimation, error and reaction time variables don't get taken into account
      49              : #define ClutchEngageSpeed 0.5 // When a vehicle is below this speed, we assume a "slow to start", that is because of clutch operation / powertrain inertia
      50              : #define EIDM_POS_ACC_EPS 0.05 // some slack number to ensure smoother position, speed and acceleration update
      51              : 
      52              : // ===========================================================================
      53              : // method definitions
      54              : // ===========================================================================
      55          257 : MSCFModel_EIDM::MSCFModel_EIDM(const MSVehicleType* vtype) :
      56          257 :     MSCFModel(vtype), myDelta(vtype->getParameter().getCFParam(SUMO_ATTR_CF_IDM_DELTA, 4.)),
      57          257 :     myTwoSqrtAccelDecel(double(2 * sqrt(myAccel * myDecel))),
      58          257 :     myIterations(MAX2(1, int(TS / vtype->getParameter().getCFParam(SUMO_ATTR_CF_IDM_STEPPING, .25) + .5))),
      59          257 :     myTPersDrive(vtype->getParameter().getCFParam(SUMO_ATTR_CF_EIDM_T_PERSISTENCE_DRIVE, 3)),
      60          257 :     myTreaction(vtype->getParameter().getCFParam(SUMO_ATTR_CF_EIDM_T_REACTION, 0.5)),
      61          257 :     myTpreview(vtype->getParameter().getCFParam(SUMO_ATTR_CF_EIDM_T_LOOK_AHEAD, 4)),
      62          257 :     myTPersEstimate(vtype->getParameter().getCFParam(SUMO_ATTR_CF_EIDM_T_PERSISTENCE_ESTIMATE, 10)),
      63          257 :     myCcoolness(vtype->getParameter().getCFParam(SUMO_ATTR_CF_EIDM_C_COOLNESS, 0.99)),
      64          257 :     mySigmaleader(vtype->getParameter().getCFParam(SUMO_ATTR_CF_EIDM_SIG_LEADER, 0.02)),
      65          257 :     mySigmagap(vtype->getParameter().getCFParam(SUMO_ATTR_CF_EIDM_SIG_GAP, 0.1)),
      66          257 :     mySigmaerror(vtype->getParameter().getCFParam(SUMO_ATTR_CF_EIDM_SIG_ERROR, 0.04)),
      67          257 :     myJerkmax(vtype->getParameter().getCFParam(SUMO_ATTR_CF_EIDM_JERK_MAX, 3.)),
      68          257 :     myEpsilonacc(vtype->getParameter().getCFParam(SUMO_ATTR_CF_EIDM_EPSILON_ACC, 1.)),
      69          257 :     myTaccmax(vtype->getParameter().getCFParam(SUMO_ATTR_CF_EIDM_T_ACC_MAX, 1.2)),
      70          257 :     myMflatness(vtype->getParameter().getCFParam(SUMO_ATTR_CF_EIDM_M_FLATNESS, 2.)),
      71          257 :     myMbegin(vtype->getParameter().getCFParam(SUMO_ATTR_CF_EIDM_M_BEGIN, 0.7)),
      72          514 :     myUseVehDynamics(vtype->getParameter().getCFParam(SUMO_ATTR_CF_EIDM_USEVEHDYNAMICS, 0) == 1)
      73              :     //, myMaxVehPreview(vtype->getParameter().getCFParam(SUMO_ATTR_CF_EIDM_MAX_VEH_PREVIEW, 0))
      74              : {
      75              :     // IDM does not drive very precise and may violate minGap on occasion
      76          257 :     myCollisionMinGapFactor = vtype->getParameter().getCFParam(SUMO_ATTR_COLLISION_MINGAP_FACTOR, 0.1);
      77          257 :     if (vtype->getActionStepLength() != DELTA_T) {
      78           12 :         WRITE_WARNINGF("CarFollowModel EIDM is not compatible with actionStepLength % in vType '%'", STEPS2TIME(vtype->getActionStepLength()), vtype->getID());
      79              :     }
      80          257 : }
      81              : 
      82          514 : MSCFModel_EIDM::~MSCFModel_EIDM() {}
      83              : 
      84              : double
      85        32145 : MSCFModel_EIDM::insertionFollowSpeed(const MSVehicle* const /*veh*/, double speed, double gap2pred, double predSpeed, double predMaxDecel, const MSVehicle* const /*pred*/) const {
      86        32145 :     if (MSGlobals::gSemiImplicitEulerUpdate) {
      87        32145 :         return maximumSafeFollowSpeed(gap2pred, speed, predSpeed, predMaxDecel, true);
      88              :     } else {
      89              :         // Not Done/checked yet for the ballistic update model!!!!
      90              :         // NOTE: Even for ballistic update, the current speed is irrelevant at insertion, therefore passing 0. (Leo)
      91              : //        return maximumSafeFollowSpeed(gap2pred, 0., predSpeed, predMaxDecel, true);
      92            0 :         return maximumSafeFollowSpeed(gap2pred, speed, predSpeed, predMaxDecel, true);
      93              :     }
      94              : }
      95              : 
      96              : 
      97              : double
      98            4 : MSCFModel_EIDM::insertionStopSpeed(const MSVehicle* const /*veh*/, double speed, double gap) const {
      99            4 :     if (MSGlobals::gSemiImplicitEulerUpdate) {
     100            4 :         return maximumSafeStopSpeed(gap, myDecel, speed, true, myHeadwayTime);
     101              :     } else {
     102              :         // Not Done/checked yet for the ballistic update model!!!!
     103              : //        return MIN2(maximumSafeStopSpeed(gap, myDecel, 0., true, 0.), myType->getMaxSpeed());
     104            0 :         return MIN2(maximumSafeStopSpeed(gap, myDecel, speed, true, myHeadwayTime), myType->getMaxSpeed());
     105              :     }
     106              : }
     107              : 
     108              : double
     109        32145 : MSCFModel_EIDM::maximumSafeFollowSpeed(double gap, double egoSpeed, double predSpeed, double predMaxDecel, bool onInsertion, const CalcReason /* usage */) const {
     110              :     double x;
     111        32145 :     if (gap >= 0 || MSGlobals::gComputeLC) {
     112              :         double a = 1.;
     113        32145 :         double b = myHeadwayTime * myTwoSqrtAccelDecel - predSpeed;
     114        32145 :         double c = -sqrt(1 + myDecel / (2 * myAccel)) * gap * myTwoSqrtAccelDecel;
     115              :         // with myDecel/myAccel, the intended deceleration is myDecel
     116              :         // with myDecel/(2*myAccel), the intended deceleration is myDecel/2
     117              :         // with the IIDM, if gap=s, then the acceleration is zero and if gap<s, then the term v/vMax is not present
     118              : 
     119              :         // double c = -sqrt(1 - pow(egoSpeed / MAX2(NUMERICAL_EPS, desSpeed), myDelta) + myDecel / (2 * myAccel)) * gap * myTwoSqrtAccelDecel; // c calculation when using the IDM!
     120              : 
     121              :         // myDecel is positive, but is intended as negative value here, therefore + instead of -
     122              :         // quadratic formula
     123        32145 :         x = (-b + sqrt(b * b - 4.*a * c)) / (2.*a);
     124        32145 :     } else {
     125            0 :         x = egoSpeed - ACCEL2SPEED(myEmergencyDecel);
     126            0 :         if (MSGlobals::gSemiImplicitEulerUpdate) {
     127              :             x = MAX2(x, 0.);
     128              :         }
     129              :     }
     130              : 
     131        32145 :     if (myDecel != myEmergencyDecel && !onInsertion && !MSGlobals::gComputeLC) {
     132            0 :         double origSafeDecel = SPEED2ACCEL(egoSpeed - x);
     133            0 :         if (origSafeDecel > myDecel + NUMERICAL_EPS) {
     134              :             // Braking harder than myDecel was requested -> calculate required emergency deceleration.
     135              :             // Note that the resulting safeDecel can be smaller than the origSafeDecel, since the call to maximumSafeStopSpeed() above
     136              :             // can result in corrupted values (leading to intersecting trajectories) if, e.g. leader and follower are fast (leader still faster) and the gap is very small,
     137              :             // such that braking harder than myDecel is required.
     138              : 
     139            0 :             double safeDecel = EMERGENCY_DECEL_AMPLIFIER * calculateEmergencyDeceleration(gap, egoSpeed, predSpeed, predMaxDecel);
     140              : #ifdef DEBUG_EMERGENCYDECEL
     141              :             if (DEBUG_COND2) {
     142              :                 std::cout << SIMTIME << " initial vsafe=" << x
     143              :                           << " egoSpeed=" << egoSpeed << " (origSafeDecel=" << origSafeDecel << ")"
     144              :                           << " predSpeed=" << predSpeed << " (predDecel=" << predMaxDecel << ")"
     145              :                           << " safeDecel=" << safeDecel
     146              :                           << std::endl;
     147              :             }
     148              : #endif
     149              :             // Don't be riskier than the usual method (myDecel <= safeDecel may occur, because a headway>0 is used above)
     150            0 :             safeDecel = MAX2(safeDecel, myDecel);
     151              :             // don't brake harder than originally planned (possible due to euler/ballistic mismatch)
     152              :             safeDecel = MIN2(safeDecel, origSafeDecel);
     153            0 :             x = egoSpeed - ACCEL2SPEED(safeDecel);
     154            0 :             if (MSGlobals::gSemiImplicitEulerUpdate) {
     155              :                 x = MAX2(x, 0.);
     156              :             }
     157              : 
     158              : #ifdef DEBUG_EMERGENCYDECEL
     159              :             if (DEBUG_COND2) {
     160              :                 std::cout << "     -> corrected emergency deceleration: " << safeDecel << std::endl;
     161              :             }
     162              : #endif
     163              : 
     164              :         }
     165              :     }
     166              :     assert(x >= 0 || !MSGlobals::gSemiImplicitEulerUpdate);
     167              :     assert(!std::isnan(x));
     168        32145 :     return x;
     169              : }
     170              : 
     171              : double
     172            4 : MSCFModel_EIDM::maximumSafeStopSpeed(double gap, double decel, double currentSpeed, bool onInsertion, double headway) const {
     173              :     double vsafe;
     174            4 :     if (MSGlobals::gSemiImplicitEulerUpdate) {
     175            4 :         const double g = gap - NUMERICAL_EPS;
     176            4 :         if (g < 0) {
     177              :             return 0;
     178              :         }
     179              :         double a = 1.;
     180            4 :         double b = headway * myTwoSqrtAccelDecel - 0.;
     181            4 :         double c = -sqrt(1 + decel / (2 * myAccel)) * g * myTwoSqrtAccelDecel;
     182              :         // with decel/myAccel, the intended deceleration is decel
     183              :         // with decel/(2*myAccel), the intended deceleration is decel/2
     184              :         // with the IIDM, if gap=s, then the acceleration is zero and if gap<s, then the term currentSpeed/vMax is not present
     185              : 
     186              :         // double c = -sqrt(1 - pow(currentSpeed / MAX2(NUMERICAL_EPS, desSpeed), myDelta) + decel / (2 * myAccel)) * g * myTwoSqrtAccelDecel; // c calculation when using the IDM!
     187              : 
     188              :         // decel is positive, but is intended as negative value here, therefore + instead of -
     189              :         // quadratic formula
     190            4 :         vsafe = (-b + sqrt(b * b - 4.*a * c)) / (2.*a);
     191              :     } else {
     192              :         // Not Done/checked yet for the ballistic update model!!!!
     193            0 :         vsafe = maximumSafeStopSpeedBallistic(gap, decel, currentSpeed, onInsertion, headway);
     194              :     }
     195              : 
     196              :     return vsafe;
     197              : }
     198              : 
     199              : double
     200      5752084 : MSCFModel_EIDM::patchSpeedBeforeLCEIDM(const MSVehicle* /*veh*/, double vMin, double vMax, const VehicleVariables* vars) const {
     201              :     // The default value of SUMO_ATTR_JM_SIGMA_MINOR is sigma, not sigmaerror (used in EIDM),
     202              :     // so we do not use SUMO_ATTR_JM_SIGMA_MINOR as parameter here, because this could confuse users...
     203              :     //const double sigma = (veh->passingMinor()
     204              :     //    ? veh->getVehicleType().getParameter().getJMParam(SUMO_ATTR_JM_SIGMA_MINOR, myDawdle)
     205              :     //    : myDawdle);
     206              : 
     207              :     // dawdling/drivingerror is now calculated here (in finalizeSpeed, not in stop-/follow-/freeSpeed anymore):
     208              :     // Instead of just multiplying mySigmaerror with vars->myw_error, we add a factor depending on the criticality of the situation,
     209              :     // measured with s*/gap. Because when the driver drives "freely" (nothing in front) he may dawdle more than in e.g. congested traffic!
     210      5752084 :     double s = MAX2(0., vars->myv_est * myHeadwayTime + vars->myv_est * (vars->myv_est - vars->myv_est_l) / myTwoSqrtAccelDecel);
     211      5752084 :     if (vars->myrespectMinGap) {
     212      5597301 :         s += myType->getMinGap() + EIDM_POS_ACC_EPS;
     213              :     } else {
     214       154783 :         const double minGapStop_EPS = 0.05 + 0.20 * MAX2(0.25, myAccel);
     215       154783 :         s += minGapStop_EPS + EIDM_POS_ACC_EPS;
     216              :     }
     217      5752084 :     const double intensity = MIN3(myAccel, 1.5, MAX2(vMax - 0.5 * myAccel, 0.0));
     218      5752084 :     const double criticality = MIN2(MAX2(s / vars->mys_est - 0.5, -0.4), 0.0);
     219              : 
     220      5752084 :     const double drivingerror = mySigmaerror * vars->myw_error * intensity * (2.75 * 2.75 * criticality * criticality + 1.0);
     221              : 
     222              :     // else: the vehicle is very slow and we do not add driving error (= 0), because
     223              :     // we should not prevent vehicles from driving just due to dawdling
     224              :     // if someone is starting, he should definitely start
     225              : 
     226              :     //const double vDawdle = MAX2(vMin, dawdle2(vMax, sigma, veh->getRNG()));
     227      5752084 :     const double vDawdle = MAX2(vMin, vMax + ACCEL2SPEED(drivingerror));
     228      5752084 :     return vDawdle;
     229              : }
     230              : 
     231              : double
     232      5752084 : MSCFModel_EIDM::slowToStartTerm(MSVehicle* const veh, const double newSpeed, const double currentSpeed, const double vMax, VehicleVariables* vars) const {
     233              :     // Drive Off Activation and Term
     234              : 
     235      5752084 :     if (newSpeed == 0 || newSpeed <= currentSpeed) {
     236              :         return newSpeed;
     237              :     }
     238              : 
     239              :     double remainingDelay = 0.0;
     240      2539082 :     if (newSpeed != vMax) {
     241            0 :         remainingDelay = STEPS2TIME(DELTA_T - (myStartupDelay - (veh->getTimeSinceStartup() - DELTA_T)));
     242              :     }
     243              : 
     244              :     double v_corr = currentSpeed;
     245     10896155 :     for (int i = 0; i < myIterations; i++) {
     246              :         // @ToDo: Check if all clauses are still needed or if we need to add more for all possible drive off cases?!
     247              :         // When we reach this point, "newSpeed > currentSpeed" already holds
     248              :         // Activation of the Drive Off term, when
     249        67181 :         if (currentSpeed < ClutchEngageSpeed && // The start speed is lower than ClutchEngageSpeed m/s
     250        67181 :                 vars->t_off + 4. - NUMERICAL_EPS < (SIMTIME - remainingDelay - TS * (myIterations - i - 1.) / myIterations) && // the last activation is at least 4 seconds ago
     251      8377970 :                 vars->myap_update == 0 && // the last activation is at least 4 seconds ago AND an Action Point was reached
     252        10178 :                 veh->getAcceleration() < MIN2(myAccel / 4, 0.2)) { // && respectMinGap) { // the driver hasn't started accelerating yet (<0.2)
     253        10106 :             vars->t_off = (SIMTIME - remainingDelay - TS * (myIterations - i - 1.) / myIterations); // activate the drive off term
     254              :         }
     255              :         // Calculation of the Drive Off term
     256      8357073 :         if (vars->t_off + myTaccmax + NUMERICAL_EPS > (SIMTIME - remainingDelay - TS * (myIterations - i - 1.) / myIterations)) {
     257        56924 :             v_corr = v_corr + (newSpeed - currentSpeed) / myIterations * (tanh((((SIMTIME - remainingDelay - TS * (myIterations - i - 1.) / myIterations) - vars->t_off) * 2. / myTaccmax - myMbegin) * myMflatness) + 1.) / 2.;
     258              :         } else {
     259      8300149 :             v_corr = v_corr + (newSpeed - currentSpeed) / myIterations;
     260              :         }
     261              :     }
     262              :     return v_corr;
     263              : }
     264              : 
     265              : double
     266      5752088 : MSCFModel_EIDM::finalizeSpeed(MSVehicle* const veh, double vPos) const {
     267              :     // finalizeSpeed is only called once every timestep!
     268              : 
     269              :     VehicleVariables* vars = (VehicleVariables*)veh->getCarFollowVariables();
     270              :     // save old v for optional acceleration computation
     271      5752088 :     const double oldV = veh->getSpeed();
     272              : 
     273              :     // @ToDo: Maybe change whole calculation to calculate real freeSpeed/stopSpeed/followSpeed in every call and here calculate resulting speed with reaction Time and update?!
     274              :     // @ToDo: Could check which call resulted in speed update with stop-vector containing all calculated accelerations!
     275              :     // Check whether the speed update results from a stop calculation, if so, run _v-function again with the saved variables from stopSpeed
     276              :     double _vPos = vPos;
     277      5752088 :     if ((vPos <= SUMO_const_haltingSpeed && vPos <= oldV) || !(vPos > oldV + ACCEL2SPEED(vars->realacc) - NUMERICAL_EPS && vPos < oldV + ACCEL2SPEED(vars->realacc) + NUMERICAL_EPS)) {
     278      1383519 :         for (auto it = vars->stop.cbegin(); it != vars->stop.cend(); ++it) {
     279        74221 :             if (vPos > oldV + ACCEL2SPEED(it->first) - NUMERICAL_EPS && vPos < oldV + ACCEL2SPEED(it->first) + NUMERICAL_EPS) {
     280        43519 :                 _vPos = _v(veh, it->second, oldV, 0, vars->v0_int, false, 1, CalcReason::CURRENT);
     281              :             }
     282              :         }
     283              :     }
     284              : 
     285              :     // process stops (includes update of stopping state)
     286      5752084 :     const double vStop = MIN2(_vPos, veh->processNextStop(_vPos));
     287              :     // apply deceleration bounds
     288      5752084 :     const double vMinEmergency = minNextSpeedEmergency(oldV, veh);
     289              :     // _vPos contains the uppper bound on safe speed. allow emergency braking here
     290      5752084 :     const double vMin = MIN2(minNextSpeed(oldV, veh), MAX2(_vPos, vMinEmergency));
     291              :     // apply planned speed constraints and acceleration constraints
     292      5752084 :     double vMax = MIN2(maxNextSpeed(oldV, veh), vStop);
     293              :     vMax = MAX2(vMin, vMax);
     294              : 
     295              : #ifdef DEBUG_V
     296              :     if (veh->isSelected()) {
     297              :         std::cout << SIMTIME
     298              :                   << " EIDM::finalizeSpeed "
     299              :                   << " veh=" << veh->getID()
     300              :                   << " oldV=" << oldV
     301              :                   << " vPos=" << vPos
     302              :                   << " _vPos=" << _vPos
     303              :                   << " vStop=" << vStop
     304              :                   << " vMinEmergency=" << vMinEmergency
     305              :                   << " vMin=" << vMin
     306              :                   << " vMax=" << vMax
     307              :                   << "\n";
     308              :     }
     309              : #endif
     310              : 
     311              :     // apply further speed adaptations
     312      5752084 :     double vNext = patchSpeedBeforeLCEIDM(veh, vMin, vMax, vars);
     313              : 
     314      5752084 :     if (MSGlobals::gSemiImplicitEulerUpdate) {
     315              : 
     316              :         // The model does not directly use vNext from patchSpeed (like the original MSCFModel::finalizeSpeed function),
     317              :         // but rather slowly adapts to vNext.
     318      5752020 :         vNext = veh->getLaneChangeModel().patchSpeed(vMin, vNext, vMax, *this);
     319              : 
     320              :         // Bound the positive change of the acceleration with myJerkmax
     321      5752020 :         if (vNext > oldV && oldV > ClutchEngageSpeed * 2 && vars->t_off + myTaccmax + NUMERICAL_EPS < SIMTIME) {
     322              :             // At junctions with minor priority acceleration will still jump because after finalizeSpeed "MAX2(vNext, vSafeMin)" is called, vSafeMin is higher and vNext from finalizeSpeed is then ignored!!!
     323              :             // If we put this jmax-Part into _v-function (via old calc_gap implementation), then vehicle can't drive over junction because it thinks it won't make it in time before a foe may appear!
     324      2501475 :             if (myJerkmax * TS + veh->getAcceleration() < 0.) { // If driver wants to accelerate, but is still decelerating, then we use a factor of 2!
     325         1058 :                 vNext = MAX2(oldV + MIN2(vNext - oldV, (myJerkmax * 2 * TS + veh->getAcceleration()) * TS), 0.); // change in acceleration (jerk) is bounded by myJerkmax*2
     326              :             } else {
     327      2502921 :                 vNext = MAX2(oldV + MIN2(vNext - oldV, (myJerkmax * TS + veh->getAcceleration()) * TS), 0.); // change in acceleration (jerk) is bounded by myJerkmax
     328              :             }
     329      3250545 :         } else if (vNext <= oldV && vNext < vMax - NUMERICAL_EPS && oldV > ClutchEngageSpeed * 2) {
     330              :             // Slowing down the deceleration like this may be critical!!! Vehicle can also not come back from Emergency braking fast enough!
     331              :             /*if (vNext - oldV < -myJerkmax * TS + veh->getAcceleration()) { // driver wants to brake harder than before, change in acceleration is then bounded by -myJerkmax
     332              :                 vNext = MAX2(oldV + (-myJerkmax * TS + veh->getAcceleration()) * TS, 0.);
     333              :             } else if (vNext - oldV > myJerkmax * TS + veh->getAcceleration()) { // driver wants to brake less harder than before, change in acceleration is then bounded by +myJerkmax
     334              :                 vNext = MAX2(oldV + (myJerkmax * TS + veh->getAcceleration()) * TS, 0.);
     335              :             } else {
     336              :                 vNext = vNext; // Do nothing, as the new vNext is in the range of +/- jerk!
     337              :             }*/
     338              : 
     339              :             // Workaround letting the vehicle not brake hard for Lane Change reasons (vNext), but only for safety Car following / stopping reasons (vMax)!
     340       474979 :             vNext = MAX2(oldV + MIN2(vMax - oldV, MAX2(vNext - oldV, (-myJerkmax * TS + veh->getAcceleration()) * TS)), 0.);
     341              :         }
     342              : 
     343              :     } else {
     344              :         // Not Done/checked yet for the ballistic update model!!!!
     345              : 
     346              :         // for ballistic update, negative vnext must be allowed to
     347              :         // indicate a stop within the coming timestep (i.e., to attain negative values)
     348           64 :         vNext = veh->getLaneChangeModel().patchSpeed(vMin, vMax, vMax, *this);
     349              :         // (Leo) finalizeSpeed() is responsible for assuring that the next
     350              :         // velocity is chosen in accordance with maximal decelerations.
     351              :         // At this point vNext may also be negative indicating a stop within next step.
     352              :         // Moreover, because maximumSafeStopSpeed() does not consider deceleration bounds
     353              :         // vNext can be a large negative value at this point. We cap vNext here.
     354              :         vNext = MAX2(vNext, vMin);
     355              :     }
     356              : 
     357              :     // Driving off correction term: First we check for StartupDelay, then calculate Speed with SlowToStartTerm
     358              :     // Apply Startup delay (time) before driving off
     359      5752084 :     SUMOTime addTime = vars->myap_update * DELTA_T;
     360      5752084 :     if (myStartupDelay + addTime - (veh->getTimeSinceStartup() - DELTA_T) < DELTA_T) {
     361              :         addTime = (SUMOTime)0;
     362              :     }
     363      5752084 :     double vDelay = applyStartupDelay(veh, vMin, vNext, addTime);
     364              :     // Apply the slow to start term to the acceleration/speed when driving off
     365      5752084 :     vNext = slowToStartTerm(veh, vDelay, oldV, vNext, vars);
     366              : #ifdef DEBUG_V
     367              :     if (veh->isSelected()) {
     368              :         std::cout << SIMTIME
     369              :                   << " EIDM::finalizeSpeed (2) "
     370              :                   << " veh=" << veh->getID()
     371              :                   << " timeSinceStartup=" << veh->getTimeSinceStartup()
     372              :                   << " myap_update=" << vars->myap_update
     373              :                   << " addTime=" << addTime
     374              :                   << " vDelay=" << vDelay
     375              :                   << " oldV=" << oldV
     376              :                   << " vNext=" << vNext
     377              :                   << "\n";
     378              :     }
     379              : #endif
     380              : 
     381              :     // Update the desired speed
     382      5752084 :     internalspeedlimit(veh, oldV);
     383              : 
     384      5752084 :     if (vNext > EST_REAC_THRESHOLD) { // update the Wiener-Prozess variables
     385      4285229 :         vars->myw_gap = exp(-TS / myTPersEstimate) * vars->myw_gap + sqrt(2 * TS / myTPersEstimate) * RandHelper::randNorm(0, 0.5); // variance of 1 can create very high values and may be too high!
     386      4285229 :         vars->myw_speed = exp(-TS / myTPersEstimate) * vars->myw_speed + sqrt(2 * TS / myTPersEstimate) * RandHelper::randNorm(0, 0.5); // variance of 1 can create very high values and may be too high!
     387      4285229 :         vars->myw_error = exp(-TS / myTPersDrive) * vars->myw_error + sqrt(2 * TS / myTPersDrive) * RandHelper::randNorm(0, 1);
     388              :     } // else all those w_... are zero by default
     389              : 
     390              :     // Update the Action-point reaction time
     391      5752084 :     if (vars->myap_update == 0) { // Update all saved acceleration variables for further calculcation between two action points
     392      3798363 :         vars->lastacc = vars->minaccel;
     393      3798363 :         vars->wouldacc = vars->minaccel;
     394      3798363 :         vars->lastrealacc = vars->realacc;
     395      3798363 :         vars->lastleaderacc = vars->realleaderacc;
     396              :     }
     397              : 
     398              : #ifdef DEBUG_V
     399              :     if (veh->isSelected()) {
     400              :         std::cout << SIMTIME
     401              :                   << " EIDM::finalizeSpeed (3) "
     402              :                   << " veh=" << veh->getID()
     403              :                   << " vars->myw_gap=" << vars->myw_gap
     404              :                   << " vars->myw_speed=" << vars->myw_speed
     405              :                   << " vars->myw_error=" << vars->myw_error
     406              :                   << " vars->lastacc=" << vars->lastacc
     407              :                   << " vars->lastrealacc=" << vars->lastrealacc
     408              :                   << " vars->lastleaderacc=" << vars->lastleaderacc
     409              :                   << "\n";
     410              :     }
     411              : #endif
     412              : 
     413              :     // Set myap_update back to 0 when maximal reaction time is reached,
     414              :     // else add 1 for the next time step
     415      5752084 :     if (double(vars->myap_update) >= double(myTreaction / TS - 1 - NUMERICAL_EPS)) {
     416      3761008 :         vars->myap_update = 0;
     417              :     } else {
     418      1991076 :         vars->myap_update = vars->myap_update + 1;
     419              :     }
     420              : 
     421              :     // Here the acceleration the vehicle would adapt to without a reaction time is compared to the last acceleration update at the last action point.
     422              :     // If between two action points the vehicle would like to brake harder than -myEpsilonacc, then an action point is called for the next time step (myap_update = 0).
     423              :     // This update is only used when wouldacc becomes myEpsilonacc lower than lastacc! When accelerating (wouldacc > lastacc), always the maximal reaction time is used!
     424              :     // @ToDo: Check how to use a stable reaction time below EST_REAC_THRESHOLD m/s when braking without oscillating acceleration, then this boundary could be eliminated.
     425              :     // @ToDo: Use this asynchron action point update also for accelerating (like introduced by Wagner/Hoogendorn/Treiber), not only for keeping the CF-model stable!
     426      5752084 :     if ((vars->wouldacc - vars->lastacc) < -myEpsilonacc || vars->wouldacc < -getEmergencyDecel() || (oldV < EST_REAC_THRESHOLD && vNext < oldV)) {
     427              :         // When this if-clause holds, then the driver should react immediately!
     428              :         // 1. When the change in deceleration is lower than -myEpsilonacc
     429              :         // 2. When the intended deceleration is lower than emergencyDecel
     430              :         // 3. When the vehicle is slow and decelerating
     431        82023 :         vars->myap_update = 0;
     432              :     }
     433              : 
     434              :     // Set the "inner" variables of the car-following model back to the default values for the next time step
     435      5752084 :     vars->minaccel = 100;
     436      5752084 :     vars->realacc = 100;
     437      5752084 :     vars->realleaderacc = 100;
     438              : 
     439              :     vars->stop.clear();
     440              : 
     441      5752084 :     return vNext;
     442              : }
     443              : 
     444              : 
     445              : double
     446     32995027 : MSCFModel_EIDM::followSpeed(const MSVehicle* const veh, double speed, double gap2pred, double predSpeed, double /*predMaxDecel*/, const MSVehicle* const /*pred*/, const CalcReason usage) const {
     447              : //    applyHeadwayAndSpeedDifferencePerceptionErrors(veh, speed, gap2pred, predSpeed, predMaxDecel, pred);
     448              :     VehicleVariables* vars = (VehicleVariables*)veh->getCarFollowVariables();
     449              : 
     450              :     // This update-variable is used to check what called followSpeed (LC- or CF-model), see enum CalcReason for more information
     451              :     // Here we don't directly use gComputeLC, which is also 0 and 1, because in freeSpeed we have another call (update = 2),
     452              :     // which is needed to differentiate between the different cases/calculations/needed output/saved variables
     453              :     int update = 1;
     454              :     CalcReason _vUsage = usage;
     455     32995027 :     if (MSGlobals::gComputeLC) {
     456              :         _vUsage = CalcReason::LANE_CHANGE;
     457              :     }
     458     32995027 :     if (_vUsage == CalcReason::LANE_CHANGE || _vUsage == CalcReason::FUTURE) {
     459              :         update = 0;
     460              :     }
     461              : 
     462              : #ifdef DEBUG_V
     463              :     if (veh->isSelected()) {
     464              :         std::cout << SIMTIME
     465              :                   << " EIDM::followSpeed "
     466              :                   << " veh=" << veh->getID()
     467              :                   << " speed=" << speed
     468              :                   << " gap2pred=" << gap2pred
     469              :                   << " predSpeed=" << predSpeed
     470              :                   << " vars->v0_int=" << vars->v0_int
     471              :                   << " update=" << update
     472              :                   << "\n";
     473              :     }
     474              : #endif
     475              : 
     476     32995027 :     double result = _v(veh, gap2pred, speed, predSpeed, vars->v0_int, true, update, _vUsage);
     477     32995027 :     return result;
     478              : }
     479              : 
     480              : 
     481              : double
     482     14797584 : MSCFModel_EIDM::stopSpeed(const MSVehicle* const veh, const double speed, double gap, double /*decel*/, const CalcReason usage) const {
     483              : //    applyHeadwayPerceptionError(veh, speed, gap);
     484              : //    if (gap < 0.01) {
     485              : //        return 0;
     486              : //    }
     487              :     VehicleVariables* vars = (VehicleVariables*)veh->getCarFollowVariables();
     488              : 
     489              :     // This update-variable is used to check what called stopSpeed (LC- or CF-model), see enum CalcReason for more information
     490              :     // Here we don't directly use gComputeLC, which is also 0 and 1, because in freeSpeed we have another call (update = 2),
     491              :     // which is needed to differentiate between the different cases/calculations/needed output/saved variables
     492              :     int update = 1;
     493              :     CalcReason _vUsage = usage;
     494     14797584 :     if (MSGlobals::gComputeLC) {
     495              :         _vUsage = CalcReason::LANE_CHANGE;
     496              :     }
     497     14797584 :     if (_vUsage == CalcReason::LANE_CHANGE || _vUsage == CalcReason::FUTURE || usage == CalcReason::CURRENT_WAIT) {
     498              :         update = 0;
     499              :     }
     500              : 
     501              : #ifdef DEBUG_V
     502              :     if (veh->isSelected()) {
     503              :         std::cout << SIMTIME
     504              :                   << " EIDM::stopSpeed "
     505              :                   << " veh=" << veh->getID()
     506              :                   << " speed=" << speed
     507              :                   << " gap=" << gap
     508              :                   << " vars->v0_int=" << vars->v0_int
     509              :                   << " update=" << update
     510              :                   << "\n";
     511              :     }
     512              : #endif
     513              : 
     514     14797584 :     double result = _v(veh, gap, speed, 0, vars->v0_int, false, update, _vUsage);
     515              : // From Sumo_IDM-implementation:
     516              : //    if (gap > 0 && speed < NUMERICAL_EPS && result < NUMERICAL_EPS) {
     517              : //        // ensure that stops can be reached:
     518              : //        result = maximumSafeStopSpeed(gap, decel, speed, false, veh->getActionStepLengthSecs());
     519              : //    }
     520     14797584 :     return result;
     521              : }
     522              : 
     523              : double
     524           16 : MSCFModel_EIDM::freeSpeed(const double currentSpeed, const double decel, const double dist, const double targetSpeed, const bool onInsertion) {
     525              :     // XXX: (Leo) This seems to be exclusively called with decel = myDecel (max deceleration) and is not overridden
     526              :     // by any specific CFModel. That may cause undesirable hard braking (at junctions where the vehicle
     527              :     // changes to a road with a lower speed limit).
     528              : 
     529           16 :     if (MSGlobals::gSemiImplicitEulerUpdate) {
     530              :         // adapt speed to succeeding lane, no reaction time is involved
     531              :         // when breaking for y steps the following distance g is covered
     532              :         // (drive with v in the final step)
     533              :         // g = (y^2 + y) * 0.5 * b + y * v
     534              :         // y = ((((sqrt((b + 2.0*v)*(b + 2.0*v) + 8.0*b*g)) - b)*0.5 - v)/b)
     535           16 :         const double v = SPEED2DIST(targetSpeed);
     536           16 :         if (dist < v) {
     537              :             return targetSpeed;
     538              :         }
     539            0 :         const double b = ACCEL2DIST(decel);
     540            0 :         const double y = MAX2(0.0, ((sqrt((b + 2.0 * v) * (b + 2.0 * v) + 8.0 * b * dist) - b) * 0.5 - v) / b);
     541            0 :         const double yFull = floor(y);
     542            0 :         const double exactGap = (yFull * yFull + yFull) * 0.5 * b + yFull * v + (y > yFull ? v : 0.0);
     543            0 :         const double fullSpeedGain = (yFull + (onInsertion ? 1. : 0.)) * ACCEL2SPEED(decel);
     544            0 :         return DIST2SPEED(MAX2(0.0, dist - exactGap) / (yFull + 1)) + fullSpeedGain + targetSpeed;
     545              :     } else {
     546              :         // ballistic update (Leo)
     547              :         // calculate maximum next speed vN that is adjustable to vT=targetSpeed after a distance d=dist
     548              :         // and given a maximal deceleration b=decel, denote the current speed by v0.
     549              :         // the distance covered by a trajectory that attains vN in the next timestep and decelerates afterwards
     550              :         // with b is given as
     551              :         // d = 0.5*dt*(v0+vN) + (t-dt)*vN - 0.5*b*(t-dt)^2, (1)
     552              :         // where time t of arrival at d with speed vT is
     553              :         // t = dt + (vN-vT)/b.  (2)
     554              :         // We insert (2) into (1) to obtain
     555              :         // d = 0.5*dt*(v0+vN) + vN*(vN-vT)/b - 0.5*b*((vN-vT)/b)^2
     556              :         // 0 = (dt*b*v0 - vT*vT - 2*b*d) + dt*b*vN + vN*vN
     557              :         // and solve for vN
     558              : 
     559              :         assert(currentSpeed >= 0);
     560              :         assert(targetSpeed >= 0);
     561              : 
     562            0 :         const double dt = onInsertion ? 0 : TS; // handles case that vehicle is inserted just now (at the end of move)
     563              :         const double v0 = currentSpeed;
     564              :         const double vT = targetSpeed;
     565              :         const double b = decel;
     566            0 :         const double d = dist - NUMERICAL_EPS; // prevent returning a value > targetSpeed due to rounding errors
     567              : 
     568              :         // Solvability for positive vN (if d is small relative to v0):
     569              :         // 1) If 0.5*(v0+vT)*dt > d, we set vN=vT.
     570              :         // (In case vT<v0, this implies that on the interpolated trajectory there are points beyond d where
     571              :         //  the interpolated velocity is larger than vT, but at least on the temporal discretization grid, vT is not exceeded)
     572              :         // 2) We ignore the (possible) constraint vN >= v0 - b*dt, which could lead to a problem if v0 - t*b > vT.
     573              :         //    (finalizeSpeed() is responsible for assuring that the next velocity is chosen in accordance with maximal decelerations)
     574              : 
     575            0 :         if (0.5 * (v0 + vT)*dt >= d) {
     576              :             return vT;    // (#)
     577              :         }
     578              : 
     579            0 :         const double q = ((dt * v0 - 2 * d) * b - vT * vT); // (q < 0 is fulfilled because of (#))
     580            0 :         const double p = 0.5 * b * dt;
     581            0 :         return -p + sqrt(p * p - q);
     582              :     }
     583              : }
     584              : 
     585              : double
     586      9828000 : MSCFModel_EIDM::freeSpeed(const MSVehicle* const veh, double speed, double seen, double maxSpeed, const bool onInsertion, const CalcReason usage) const {
     587              : 
     588              :     // @ToDo: Set new internal speed limit/desired speed <maxSpeed> here and change it over time in internalspeedlimit()!
     589              : 
     590      9828000 :     if (maxSpeed < 0.) {
     591              :         // can occur for ballistic update (in context of driving at red light)
     592              :         return maxSpeed;
     593              :     }
     594              : 
     595              :     // This update-variable is used to check what called freeSpeed (LC- or CF-model), see enum CalcReason for more information
     596              :     // Here we don't directly use gComputeLC, which is also 0 and 1, because we have another call (update = 2),
     597              :     // which is needed to differentiate between the different cases/calculations/needed output/saved variables
     598              :     int update = 1;
     599              :     CalcReason _vUsage = usage;
     600      9828000 :     if (MSGlobals::gComputeLC) {
     601              :         _vUsage = CalcReason::LANE_CHANGE;
     602              :     }
     603      9828000 :     if (_vUsage == CalcReason::LANE_CHANGE || _vUsage == CalcReason::FUTURE) {
     604              :         update = 0;
     605              :     }
     606              : 
     607              : #ifdef DEBUG_V
     608              :     if (veh->isSelected()) {
     609              :         std::cout << SIMTIME
     610              :                   << " EIDM::freeSpeed "
     611              :                   << " veh=" << veh->getID()
     612              :                   << " speed=" << speed
     613              :                   << " seen=" << seen
     614              :                   << " maxSpeed=" << maxSpeed
     615              :                   << " update=" << update
     616              :                   << " onInsertion=" << onInsertion
     617              :                   << "\n";
     618              :     }
     619              : #endif
     620              : 
     621              :     VehicleVariables* vars = (VehicleVariables*)veh->getCarFollowVariables();
     622              : 
     623      9828000 :     if (veh->getDevice(typeid(MSDevice_GLOSA)) != nullptr &&
     624      9828000 :             static_cast<MSDevice_GLOSA*>(veh->getDevice(typeid(MSDevice_GLOSA)))->isSpeedAdviceActive() &&
     625              :             maxSpeed < speed) {
     626            0 :         seen = speed * (1 - (vars->v0_old - vars->v0_int) / (vars->v0_old - maxSpeed)) * myTpreview;
     627              :     }
     628              : 
     629              :     double vSafe, remaining_time, targetDecel;
     630              :     double secGap;
     631      9828000 :     if (onInsertion) {
     632              :         // Needed for the Insertion-Calculation to check, if insertion at this "speed" is possible to reach "maxSpeed" in the given distance "seen" (vehicle can max decelerate with myDecel!)!
     633              :         // @ToDo: Could maybe be changed to maximumSafeFollowSpeed instead of freeSpeed-Krauss calculation!
     634           16 :         vSafe = freeSpeed(speed, myDecel, seen, maxSpeed, onInsertion);
     635              :     } else {
     636              :         // driver needs to brake, because he is faster than the desired speed limit <maxSpeed> on the next lane or the next upcoming event (e.g. red light violation)
     637              :         // The adaption/braking starts when the <seen> time-distance is lower than myTpreview+myTreaction
     638      9827984 :         if (maxSpeed < speed && seen < speed * (myTpreview + myTreaction)) {
     639              : 
     640        21042 :             update = update == 0 ? 0 : 2;
     641              : 
     642        21042 :             remaining_time = MAX3((seen - speed * myTreaction) / speed, myTreaction / 2, TS); // The remaining time is at least a time step or the reaction time of the driver
     643        21042 :             targetDecel = (speed - maxSpeed) / remaining_time; // The needed constant deceleration to reach maxSpeed before reaching the next lane/event
     644              : 
     645              :             // targetDecel is not set immediatly, if the vehicle is far enough away from the event (bounded by myJerkmax)
     646        21042 :             if (remaining_time > myTpreview - targetDecel / myJerkmax) {
     647           30 :                 targetDecel = (myTpreview - remaining_time) * myJerkmax;
     648              :             }
     649              : 
     650              :             // calculate distance which would result in the accel-value targetDecel at this <speed> and leaderspeed <0>
     651        21042 :             if (vars->myap_update == 0 || update == 0) { // at action point update
     652        19562 :                 secGap = internalsecuregap(veh, speed, 0., targetDecel);
     653              :             } else { // between two action points
     654         1480 :                 secGap = internalsecuregap(veh, vars->myv_est + vars->lastrealacc * vars->myap_update * TS, 0., targetDecel);
     655              :             }
     656              : 
     657        39156 :             vSafe = _v(veh, MAX2(seen, secGap), speed, 0., vars->v0_int, true, update, _vUsage);
     658              : 
     659              :             // Add this for "old implementation" when vehicle doesn't HAVE to reach maxspeed at seen-distance!
     660              :             // @ToDo: See #7644: <double v = MIN2(maxV, laneMaxV);> in MSVehicle::planMoveInternal! -> DONE!
     661              :             // But still: Is it better, if the vehicle brakes early enough to reach the next lane with its speed limit?
     662              :             // Instead of driving too fast for a while on the new lane, which can be more "human", but leads to other problems (junction model, traffic light braking...)
     663              :             /*    if (seen < speed*myTpreview || seen < veh->getLane()->getVehicleMaxSpeed(veh)*myTpreview / 2) {
     664              :                     remaining_time = speed < veh->getLane()->getVehicleMaxSpeed(veh) / 2 ? seen / (veh->getLane()->getVehicleMaxSpeed(veh) / 2) : seen / MAX2(speed, 0.01);
     665              :                     if (vars->v0_int > maxSpeed + NUMERICAL_EPS && vars->v0_old > vars->v0_int + NUMERICAL_EPS) {
     666              :                         maxSpeed = MAX2(maxSpeed, MIN2(vars->v0_int, vars->v0_old - (vars->v0_old - maxSpeed) / myTpreview * (myTpreview - remaining_time)));
     667              :                         vSafe = _v(veh, 500., speed, maxSpeed, maxSpeed, true, update, _vUsage);
     668              :                     } else if (vars->v0_int > maxSpeed + NUMERICAL_EPS) {
     669              :                         maxSpeed = MAX2(maxSpeed, vars->v0_int - (vars->v0_int - maxSpeed) / myTpreview * (myTpreview - remaining_time));
     670              :                         vSafe = _v(veh, 500., speed, maxSpeed, maxSpeed, true, update, _vUsage);
     671              :                     } else {
     672              :                         vSafe = _v(veh, 500., speed, maxSpeed, vars->v0_int, true, update, _vUsage);
     673              :                     }
     674              :             */
     675              :         } else { // when the <speed> is lower than <maxSpeed> or the next lane/event is not seen with myTpreview+myTreaction yet
     676      9806942 :             vSafe = _v(veh, 500., speed, maxSpeed, vars->v0_int, true, update, _vUsage);
     677              :         }
     678              :     }
     679              : 
     680              :     return vSafe;
     681              : }
     682              : 
     683              : /// @todo update interactionGap logic to IDM
     684              : double
     685            0 : MSCFModel_EIDM::interactionGap(const MSVehicle* const veh, double vL) const {
     686              :     // Resolve the IDM equation to gap. Assume predecessor has
     687              :     // speed != 0 and that vsafe will be the current speed plus acceleration,
     688              :     // i.e that with this gap there will be no interaction.
     689            0 :     const double acc = myAccel * (1. - pow(veh->getSpeed() / veh->getLane()->getVehicleMaxSpeed(veh), myDelta));
     690            0 :     const double vNext = veh->getSpeed() + acc;
     691            0 :     const double gap = (vNext - vL) * (veh->getSpeed() + vL) / (2 * myDecel) + vL;
     692              : 
     693              :     // Don't allow timeHeadWay < deltaT situations.
     694            0 :     return MAX2(gap, SPEED2DIST(vNext));
     695              : 
     696              :     // Only needed for old Lane Change Model????
     697              : }
     698              : 
     699              : double
     700     33507233 : MSCFModel_EIDM::getSecureGap(const MSVehicle* const /*veh*/, const MSVehicle* const /*pred*/, const double speed, const double leaderSpeed, const double /*leaderMaxDecel*/) const {
     701              :     // SecureGap depends on v0 and may be higher than just looking at s* (In case of the IDM)
     702              :     //VehicleVariables* vars = (VehicleVariables*)veh->getCarFollowVariables();
     703     33507233 :     const double delta_v = speed - leaderSpeed;
     704     33507233 :     double s = MAX2(0.0, speed * myHeadwayTime + speed * delta_v / myTwoSqrtAccelDecel); // is calculated without MinGap because it is compared to a gap without MinGap!
     705              :     // For the IDM: - pow(speed / veh->getLane()->getVehicleMaxSpeed(veh), myDelta)) must be added to (myDecel / myAccel + 1)!
     706              :     // For the IIDM: Left out the case check for estSpeed > v0, assuming this is not needed here. The vehicle therefore may brake harder when newSpeed > v0 occurs!
     707              :     // The secure gap is calculated using -myDecel as secure maximal acceleration (using myDecel/myAccel)!
     708              : 
     709     33507233 :     double erg = sqrt((s * s) / (myDecel / myAccel + 1.0));
     710     33507233 :     return MIN2(s, erg);
     711              : }
     712              : 
     713              : // Only needed when vehicle has to reach laneMaxV before entering the new lane, see #7644
     714              : double
     715        21042 : MSCFModel_EIDM::internalsecuregap(const MSVehicle* const veh, const double speed, const double leaderSpeed, const double targetDecel) const {
     716              :     // SecureGap depends on v0 and may be higher than just looking at s* (In case of the IDM)
     717              :     // internalsecuregap uses a targetDecel instead of myDecel!
     718              :     VehicleVariables* vars = (VehicleVariables*)veh->getCarFollowVariables();
     719        21042 :     const double delta_v = speed - leaderSpeed;
     720        21042 :     double s = MAX2(0.0, speed * myHeadwayTime + speed * delta_v / myTwoSqrtAccelDecel); // is calculated without MinGap because it is compared to a gap without MinGap!
     721              :     // For the IDM: - pow(speed / veh->getLane()->getVehicleMaxSpeed(veh), myDelta)) must be added to (myDecel / myAccel + 1)!
     722              :     // the secure gap is calculated using -myDecel as secure maximal acceleration (using myDecel/myAccel)!
     723              : 
     724              :     double erg;
     725        21042 :     if (speed <= vars->v0_int) {
     726          302 :         erg = sqrt((s * s) / (MAX2(targetDecel / myAccel + 1.0, 1.0)));
     727              :     } else { // speed > v0
     728        20740 :         double a_free = - myDecel * (1.0 - pow(vars->v0_int / speed, myAccel * myDelta / myDecel));
     729        30449 :         erg = sqrt((s * s) / (MAX2(targetDecel / myAccel + 1.0 + a_free / myAccel, 1.0)));
     730              :     }
     731              : 
     732        21042 :     return erg;
     733              : }
     734              : 
     735              : void
     736      5752084 : MSCFModel_EIDM::internalspeedlimit(MSVehicle* const veh, const double oldV) const {
     737              : 
     738              :     VehicleVariables* vars = (VehicleVariables*)veh->getCarFollowVariables();
     739              : 
     740              :     double v_limcurr, v_limprev;
     741      5752084 :     v_limcurr = vars->v0_int; // model internal desired speed limit
     742      5752084 :     v_limprev = vars->v0_old; // previous desired speed limit for calculation reasons
     743              : 
     744      5752084 :     const MSLane* lane = veh->getLane();
     745      5752084 :     const std::vector<MSLane*>& bestLaneConts = veh->getBestLanesContinuation();
     746              :     int view = 1;
     747      5752084 :     std::vector<MSLink*>::const_iterator link = MSLane::succLinkSec(*veh, view, *lane, bestLaneConts);
     748      5752084 :     double seen = lane->getLength() - veh->getPositionOnLane();
     749      5752084 :     double v0 = lane->getVehicleMaxSpeed(veh); // current desired lane speed
     750              :     bool activeGLOSA = false;
     751      5752084 :     if (veh->getDevice(typeid(MSDevice_GLOSA)) != nullptr) {
     752            0 :         activeGLOSA = static_cast<MSDevice_GLOSA*>(veh->getDevice(typeid(MSDevice_GLOSA)))->isSpeedAdviceActive();
     753              :     }
     754              : 
     755              :     // @ToDo: nextTurn is only defined in sublane-model calculation?!
     756              :     // @ToDo: So cannot use it yet, but the next turn or speed recommendation for the street curvature (e.g. vmax=sqrt(a_transverse*Radius), a_transverse=3-4m/s^2)
     757              :     // @ToDo: should not come from here, but from MSVehicle/the street network
     758              :     // const std::pair<double, LinkDirection> nextTurn = veh->getNextTurn();
     759              : 
     760              :     // When driving on the last lane/link, the vehicle shouldn't adapt to the lane after anymore.
     761              :     // Otherwise we check the <seen> time-distance and whether is lower than myTpreview
     762      5752084 :     if (lane->isLinkEnd(link) != 1 && (seen < oldV * myTpreview || seen < v0 * myTpreview / 2 || activeGLOSA)) {
     763              :         double speedlim = 200;
     764              :         while (true) { // loop over all upcoming edges/lanes/links until the <seen> time-distance is higher than myTpreview
     765      2018682 :             if (lane->isLinkEnd(link) != 1 && (seen < oldV * myTpreview || seen < v0 * myTpreview / 2)) { // @ToDo: add && (*link)->havePriority()???
     766              :                 // @ToDo: When vehicles already brake because of a minor link, it may not be necessary to adapt the internal desired speed when turning...
     767              :                 // @ToDo: The vehicle brakes anyway and it may happen, that is brakes too hard because of the low internal desired speed and takes too long
     768              :                 // @ToDo: to accelerate again, because the internal desired speed must rise again?!
     769              :                 // @ToDo: It can't be done via (*link)->havePriority() (vehicle will not brake for other vehicles, so it needs to brake for curve radius),
     770              :                 // @ToDo: because then turning at traffic lights or somewhere else might be missing (traffic light links don't have priority definition?!)
     771      1321403 :                 LinkDirection dir = (*link)->getDirection();
     772      1321403 :                 switch (dir) {
     773              :                     case LinkDirection::NODIR:
     774              :                         break;
     775              :                     case LinkDirection::STRAIGHT:
     776              :                         break;
     777              :                     case LinkDirection::TURN:
     778              :                         speedlim = 4;
     779              :                         break;
     780              :                     case LinkDirection::TURN_LEFTHAND:
     781              :                         speedlim = 4;
     782              :                         break;
     783        55046 :                     case LinkDirection::LEFT:
     784              :                         speedlim = 8;
     785        55046 :                         break;
     786        46325 :                     case LinkDirection::RIGHT:
     787              :                         speedlim = 6;
     788        46325 :                         break;
     789              :                     case LinkDirection::PARTLEFT:
     790              :                         speedlim = 12;
     791              :                         break;
     792              :                     case LinkDirection::PARTRIGHT:
     793              :                         speedlim = 12;
     794              :                         break;
     795              :                 }
     796              : 
     797      1321403 :                 if (v0 > speedlim * veh->getChosenSpeedFactor() + NUMERICAL_EPS) {
     798       117553 :                     v0 = speedlim * veh->getChosenSpeedFactor();
     799              :                 }
     800              :             } else {
     801              :                 break;
     802              :             }
     803      1321403 :             if ((*link)->getViaLane() == nullptr) {
     804       691241 :                 ++view;
     805              :             }
     806              :             lane = (*link)->getViaLaneOrLane();
     807              :             // @ToDo: Previously: (seen < oldV*myTpreview / 2 || seen < v0*myTpreview / 4)! Changed freeSpeed, so also changed v0-calculation here.
     808              :             // @ToDo: Vehicle now decelerates to new Speedlimit before reaching new edge (not /2 anymore)!
     809              :             // @ToDo: v0 for changing speed limits when seen < oldV*myTpreview, not seen < oldV*myTpreview/2 anymore!!!
     810      1321403 :             if (v0 > lane->getVehicleMaxSpeed(veh)) {
     811            0 :                 if (!activeGLOSA) {
     812            0 :                     v0 = lane->getVehicleMaxSpeed(veh);
     813              :                 } else {
     814            0 :                     v0 = MIN2(v0, static_cast<MSDevice_GLOSA*>(veh->getDevice(typeid(MSDevice_GLOSA)))->getOriginalSpeedFactor() * lane->getSpeedLimit());
     815              :                 }
     816              :             }
     817      1321403 :             seen += lane->getLength();
     818      1321403 :             link = MSLane::succLinkSec(*veh, view, *lane, bestLaneConts);
     819              :         }
     820              : 
     821       697279 :         if (!(v_limprev < v0 + NUMERICAL_EPS && v_limprev > v0 - NUMERICAL_EPS) || // if v_limprev!=v0, then the upcoming v0 is different, than the old desired v_limprev and therefore v0_int must change slowly to the new v0
     822       637620 :                 (v_limprev < v0 + NUMERICAL_EPS && v_limprev > v0 - NUMERICAL_EPS && !(v_limprev < v_limcurr + NUMERICAL_EPS && v_limprev > v_limcurr - NUMERICAL_EPS))) { // When v_limprev==v0, but v_limprev!=v_limcurr, then we may have a special case and need to slowly change v_limcurr to v0
     823              : 
     824        59663 :             if ((v_limcurr < v_limprev + NUMERICAL_EPS && v_limcurr < v0 + NUMERICAL_EPS && v_limprev > v0 - NUMERICAL_EPS) || // important when v_limcurr < v0 < v_limprev --> v_limcurr was decreasing, but needs to suddenly increase again
     825        59663 :                     (v_limcurr > v_limprev - NUMERICAL_EPS && v_limcurr > v0 - NUMERICAL_EPS && v_limprev < v0 + NUMERICAL_EPS)) { // important when v_limcurr > v0 > v_limprev --> v_limcurr was increasing, but needs to suddenly decrease again
     826            4 :                 vars->v0_old = v_limcurr;
     827              :             } else {
     828        59659 :                 if (v_limcurr >= v0 - NUMERICAL_EPS) { // v_limcurr is too high and needs to decrease
     829        59659 :                     v_limcurr = MAX2(v0, v_limcurr - (v_limprev - v0) * TS / myTpreview);
     830              :                 } else { // v_limcurr is too low and needs to increase
     831            0 :                     v_limcurr = MIN2(v0, v_limcurr - (v_limprev - v0) * TS / myTpreview);
     832              :                 }
     833              :             }
     834              : 
     835              :             // when v_limcurr reaches v0, then update v_limprev=v0
     836        59663 :             if (v_limcurr < v0 + NUMERICAL_EPS && v_limcurr > v0 - NUMERICAL_EPS) {
     837         1164 :                 vars->v0_old = v0;
     838         1164 :                 vars->v0_int = v0;
     839              :             } else { // else just update the internal desired speed with v_limcurr
     840        58499 :                 vars->v0_int = v_limcurr;
     841              :             }
     842              :         }
     843              : 
     844      5054805 :     } else if (!(v_limprev < v0 + NUMERICAL_EPS && v_limprev > v0 - NUMERICAL_EPS) || // if v_limprev!=v0, then the upcoming v0 is different, than the old desired v_limprev and therefore v0_int must change slowly to the new v0
     845      4994167 :                (v_limprev < v0 + NUMERICAL_EPS && v_limprev > v0 - NUMERICAL_EPS && !(v_limprev < v_limcurr + NUMERICAL_EPS && v_limprev > v_limcurr - NUMERICAL_EPS))) { // When v_limprev==v0, but v_limprev!=v_limcurr, then we may have a special case and need to slowly change v_limcurr to v0
     846              : 
     847        60984 :         if ((v_limcurr < v_limprev + NUMERICAL_EPS && v_limcurr < v0 + NUMERICAL_EPS && v_limprev > v0 - NUMERICAL_EPS) || // important when v_limcurr < v0 < v_limprev --> v_limcurr was decreasing, but needs to suddenly increase again
     848        60638 :                 (v_limcurr > v_limprev - NUMERICAL_EPS && v_limcurr > v0 - NUMERICAL_EPS && v_limprev < v0 + NUMERICAL_EPS)) { // important when v_limcurr > v0 > v_limprev --> v_limcurr was increasing, but needs to suddenly decrease again
     849          346 :             vars->v0_old = v_limcurr;
     850              :         } else {
     851        60638 :             if (v_limcurr >= v0 - NUMERICAL_EPS) { // v_limcurr is too high and needs to decrease
     852            0 :                 v_limcurr = MAX2(v0, v_limcurr - (v_limprev - v0) * TS / myTpreview);
     853              :             } else { // v_limcurr is too low and needs to increase
     854        60638 :                 v_limcurr = MIN2(v0, v_limcurr - (v_limprev - v0) * TS / myTpreview);
     855              :             }
     856              :         }
     857              : 
     858              :         // when v_limcurr reaches v0, then update v_limprev=v0
     859        60984 :         if (v_limcurr < v0 + NUMERICAL_EPS && v_limcurr > v0 - NUMERICAL_EPS) {
     860         1504 :             vars->v0_old = v0;
     861         1504 :             vars->v0_int = v0;
     862              :         } else { // else just update the internal desired speed with v_limcurr
     863        59480 :             vars->v0_int = v_limcurr;
     864              :         }
     865              :     }
     866      5752084 : }
     867              : 
     868              : double
     869     57664114 : MSCFModel_EIDM::_v(const MSVehicle* const veh, const double gap2pred, const double egoSpeed,
     870              :                    const double predSpeed, const double desSpeed, const bool respectMinGap, const int update, const CalcReason usage) const {
     871              : 
     872              :     double v0 = MAX2(NUMERICAL_EPS, desSpeed);
     873              :     VehicleVariables* vars = (VehicleVariables*)veh->getCarFollowVariables();
     874              : 
     875              :     // @ToDo: Where to put such an insertion function/update, which only needs to be calculated once at the first step?????!
     876              :     // For the first iteration
     877     57664114 :     if (vars->v0_old == 0) {
     878              :         vars = (VehicleVariables*)veh->getCarFollowVariables();
     879         1741 :         vars->v0_old = MAX2(NUMERICAL_EPS, veh->getLane()->getVehicleMaxSpeed(veh));
     880         1741 :         vars->v0_int = MAX2(NUMERICAL_EPS, veh->getLane()->getVehicleMaxSpeed(veh));
     881         1741 :         v0 = MAX2(NUMERICAL_EPS, veh->getLane()->getVehicleMaxSpeed(veh));
     882              :     }
     883              : 
     884              :     double wantedacc = 0., a_free;
     885              :     double wouldacc = 0., woulds, woulda_free;
     886              : 
     887              :     double estSpeed, estleaderSpeed, estGap;
     888              :     double current_estSpeed, current_estGap, current_estleaderSpeed;
     889              :     double current_gap;
     890              :     double acc = 0.;
     891              :     double a_leader = NUMERICAL_EPS; // Default without a leader, should not be 0!
     892              :     double newSpeed = egoSpeed;
     893              :     bool lastrespectMinGap = respectMinGap;
     894     57664114 :     const double minGapStop_EPS = 0.05 + 0.20 * MAX2(0.25, myAccel);
     895              : 
     896              :     // When doing the Follow-Calculation in adapttoLeader (MSVehicle.cpp) the mingap gets subtracted from the current gap (maybe this is needed for the Krauss-Model!).
     897              :     // For the IDM this Mingap is needed or else the vehicle will stop at two times mingap behind the leader!
     898     57664114 :     if (respectMinGap) {
     899     85646022 :         current_gap = MAX2(NUMERICAL_EPS, gap2pred + MAX2(NUMERICAL_EPS, myType->getMinGap() - 0.25)); // 0.25m tolerance because of reaction time and estimated variables
     900              :     } else {
     901              :         // gap2pred may go to 0 when offset is reached (e.g. 1m Offset -> gap2pred=0, when vehicle stands at 0.95m, gap2pred is still 0 and does not become -0.05m (negative)!)
     902     14841103 :         current_gap = MAX2(NUMERICAL_EPS, gap2pred + minGapStop_EPS);
     903              :     }
     904              : 
     905              :     double newGap = current_gap;
     906              : 
     907    231613520 :     for (int i = 0; i < myIterations; i++) {
     908              : 
     909              :         // Using Action-Point reaction time: update the variables, when myap_update is zero and update is 1
     910              :         current_estSpeed = newSpeed;
     911    173949410 :         if (respectMinGap) {
     912    130753156 :             current_estleaderSpeed = MAX2(predSpeed - newGap * mySigmaleader * vars->myw_speed, 0.0); // estimated variable with Wiener Prozess
     913              :         } else {
     914              :             // @ToDo: Use this??? driver would always know, that junctions, traffic lights, etc. have v=0!
     915              :             // @ToDo: With estimated variables predSpeed > 0 is possible! > 0 may result in oscillating
     916              :             current_estleaderSpeed = predSpeed;
     917              :         }
     918    173949410 :         if (update == 2) { // For freeSpeed
     919              :             current_estGap = newGap; // not-estimated variable
     920              :         } else {
     921    173870958 :             if (respectMinGap) {
     922    130674704 :                 current_estGap = newGap * exp(mySigmagap * vars->myw_gap); // estimated variable with Wiener Prozess
     923              :             } else {
     924     81449268 :                 current_estGap = newGap * exp(mySigmagap * vars->myw_gap * MIN2(current_estSpeed / EST_REAC_THRESHOLD, 1.0)); // estimated variable with Wiener Prozess
     925              :             }
     926              :         }
     927              : 
     928    173949410 :         if (vars->myap_update == 0 && usage == CalcReason::CURRENT) { // update variables with current observation
     929              :             estSpeed = current_estSpeed;
     930              :             estleaderSpeed = current_estleaderSpeed; // estimated variable with Wiener Prozess
     931              :             estGap = current_estGap; // estimated variable with Wiener Prozess
     932     14887507 :         } else if (usage == CalcReason::CURRENT) { // use stored variables (reaction time)
     933      7146384 :             estSpeed = MAX2(vars->myv_est + vars->lastrealacc * (vars->myap_update * TS - TS * (myIterations - i - 1.) / myIterations), 0.0);
     934              :             //        estSpeed = vars->myv_est;
     935      7146384 :             if (update == 2) { // For freeSpeed
     936              :                 estGap = newGap; // not-estimated variable
     937         1480 :                 estleaderSpeed = MAX2(vars->myv_est_l + vars->lastleaderacc * (vars->myap_update * TS - TS * (myIterations - i - 1.) / myIterations) - vars->mys_est * mySigmaleader * vars->myw_speed, 0.0);
     938              :                 //        estleaderSpeed = MAX2(vars->myv_est_l - vars->mys_est * mySigmaleader*vars->myw_speed, 0.0);
     939              :             } else {
     940      7144904 :                 lastrespectMinGap = vars->myrespectMinGap;
     941      7144904 :                 if (lastrespectMinGap) {
     942      6756818 :                     estleaderSpeed = MAX2(vars->myv_est_l + vars->lastleaderacc * (vars->myap_update * TS - TS * (myIterations - i - 1.) / myIterations) - vars->mys_est * mySigmaleader * vars->myw_speed, 0.0);
     943              :                     //        estleaderSpeed = MAX2(vars->myv_est_l - vars->mys_est * mySigmaleader*vars->myw_speed, 0.0);
     944      6756818 :                     estGap = vars->mys_est * exp(mySigmagap * vars->myw_gap) - ((vars->myv_est + estSpeed) / 2. - (vars->myv_est_l + estleaderSpeed) / 2.) * (vars->myap_update * TS - TS * (myIterations - i - 1.) / myIterations); // estimated variable with Wiener Prozess
     945              :                 } else {
     946              :                     // @ToDo: Use this??? driver would always know, that junctions, traffic lights, etc. have v=0!
     947              :                     // @ToDo: With estimated variables predSpeed > 0 is possible! > 0 may result in oscillating
     948       388086 :                     estleaderSpeed = vars->myv_est_l;
     949       533945 :                     estGap = vars->mys_est * exp(mySigmagap * vars->myw_gap * MIN2(current_estSpeed / EST_REAC_THRESHOLD, 1.0)) - ((vars->myv_est + estSpeed) / 2. - (vars->myv_est_l + estleaderSpeed) / 2.) * (vars->myap_update * TS - TS * (myIterations - i - 1.) / myIterations); // estimated variable with Wiener Prozess
     950              :                 }
     951              :             }
     952              :         } else { // use actual variables without reaction time
     953              :             estSpeed = current_estSpeed;
     954              :             estleaderSpeed = current_estleaderSpeed; // estimated variable with Wiener Prozess
     955              :             estGap = current_estGap; // estimated variable with Wiener Prozess
     956              :         }
     957              : 
     958              :         // ToDo: The headway can change for IDMM based on the scenario, should something like that also be integrated here???
     959    173949410 :         double headwayTime = myHeadwayTime;
     960              :         MSVehicle* leader;
     961              : 
     962    173949410 :         double s = MAX2(0., estSpeed * headwayTime + estSpeed * (estSpeed - estleaderSpeed) / myTwoSqrtAccelDecel);
     963    173949410 :         if (lastrespectMinGap) {
     964    130540842 :             s += myType->getMinGap() + EIDM_POS_ACC_EPS;
     965              :         } else {
     966     43408568 :             s += minGapStop_EPS + EIDM_POS_ACC_EPS;
     967              :         }
     968              : 
     969              :         // Because of the reaction time and estimated variables, s* can become lower than gap when the vehicle needs to brake/is braking, that results in the vehicle accelerating again...
     970              :         // Here: When the gap is very small, s* is influenced to then always be bigger than the gap. With this there are no oscillations in accel at small gaps!
     971    173949410 :         if (lastrespectMinGap) {
     972              :             // The allowed position error when coming to a stop behind a leader is higher with higher timesteps (approx. 0.5m at 1.0s timstep, 0.1m at 0.1s)
     973    130540842 :             if (estGap < myType->getMinGap() + (TS * 10 + 1) * EIDM_POS_ACC_EPS && estSpeed < EST_REAC_THRESHOLD && s < estGap * sqrt(1 + 2 * EIDM_POS_ACC_EPS / myAccel)) {
     974      3935424 :                 s = estGap * sqrt(1 + 2 * EIDM_POS_ACC_EPS / myAccel);
     975              :             }
     976              :         } else {
     977     43408568 :             if (estGap < minGapStop_EPS + 2 * EIDM_POS_ACC_EPS && s < estGap * sqrt(1 + EIDM_POS_ACC_EPS / myAccel)) {
     978              :                 // when the vehicle wants to stop (stopSpeed), it may take long to come to a full stop
     979              :                 // To lower this stop time, we restrict the deceleration to always be higher than 0.05m/s^2 when stopping
     980       120291 :                 s = estGap * sqrt(1 + EIDM_POS_ACC_EPS / myAccel);
     981              :             }
     982              :         }
     983              : 
     984              :         // IDM calculation:
     985              :         // wantedacc = myAccel * (1. - pow(estSpeed / v0, myDelta) - (s * s) / (estGap * estGap));
     986              : 
     987              :         // IIDM calculation -NOT- from the original Treiber/Kesting publication:
     988              :         // With the saved variables from the last Action Point
     989              :         /*double wantedacc;
     990              :         double a_free = myAccel * (1. - pow(estSpeed / v0, myDelta));
     991              :         if (s >= estGap) { // This is the IIDM
     992              :             wantedacc = myAccel * (1. - (s * s) / (estGap * estGap));
     993              :         } else {
     994              :             wantedacc = a_free * (1. - pow(s / estGap, 2*myAccel / fabs(a_free)));
     995              :         }*/ // Old calculation form without the distinction between v > v0 and v <= v0!!! Published it in the EIDM with this form, but may be worse than original IIDM!
     996              : 
     997              :         // IIDM calculation from the original Treiber/Kesting publication:
     998              :         // With the saved variables from the last Action Point
     999    173949410 :         if (estSpeed <= v0) {
    1000    169398313 :             a_free = myAccel * (1. - pow(estSpeed / v0, myDelta));
    1001    169398313 :             if (s >= estGap) {
    1002     11499561 :                 wantedacc = myAccel * (1. - (s * s) / (estGap * estGap));
    1003              :             } else {
    1004    157898752 :                 wantedacc = a_free * (1. - pow(s / estGap, 2 * myAccel / a_free));
    1005              :             }
    1006              :         } else { // estSpeed > v0
    1007      4551097 :             a_free = - myDecel * (1. - pow(v0 / estSpeed, myAccel * myDelta / myDecel));
    1008      4551097 :             if (s >= estGap) {
    1009       253437 :                 wantedacc = a_free + myAccel * (1. - (s * s) / (estGap * estGap));
    1010              :             } else {
    1011              :                 wantedacc = a_free;
    1012              :             }
    1013              :         }
    1014    173949410 :         wantedacc = SPEED2ACCEL(MAX2(0.0, estSpeed + ACCEL2SPEED(wantedacc)) - estSpeed);
    1015              : 
    1016              :         // IIDM calculation from the original Treiber/Kesting publication:
    1017              :         // With the current variables (what would the acceleration be without reaction time)
    1018    173949410 :         if (usage == CalcReason::CURRENT) {
    1019     86127253 :             woulds = MAX2(0., current_estSpeed * headwayTime + current_estSpeed * (current_estSpeed - current_estleaderSpeed) / myTwoSqrtAccelDecel); // s_soll
    1020     86127253 :             if (respectMinGap) {
    1021     85893084 :                 woulds += myType->getMinGap() + EIDM_POS_ACC_EPS; // when behind a vehicle use MinGap and when at a junction then not????
    1022              :             } else {
    1023       234169 :                 woulds += minGapStop_EPS + EIDM_POS_ACC_EPS;
    1024              :             }
    1025              : 
    1026     86127253 :             if (current_estSpeed <= v0) {
    1027     83253442 :                 woulda_free = myAccel * (1. - pow(current_estSpeed / v0, myDelta));
    1028     83253442 :                 if (woulds >= current_estGap) {
    1029      1801159 :                     wouldacc = myAccel * (1. - (woulds * woulds) / (current_estGap * current_estGap));
    1030              :                 } else {
    1031     81452283 :                     wouldacc = woulda_free * (1. - pow(woulds / current_estGap, 2 * myAccel / woulda_free));
    1032              :                 }
    1033              :             } else { // current_estSpeed > v0
    1034      2873811 :                 woulda_free =  - myDecel * (1. - pow(v0 / current_estSpeed, myAccel * myDelta / myDecel));
    1035      2873811 :                 if (woulds >= current_estGap) {
    1036        44902 :                     wouldacc = woulda_free + myAccel * (1. - (woulds * woulds) / (current_estGap * current_estGap));
    1037              :                 } else {
    1038              :                     wouldacc = woulda_free;
    1039              :                 }
    1040              :             }
    1041    171824799 :             wouldacc = SPEED2ACCEL(MAX2(0.0, current_estSpeed + ACCEL2SPEED(wouldacc)) - current_estSpeed);
    1042              :         }
    1043              : 
    1044              :         // @ToDo: calc_gap is just estGap here, used to have an extra calc_gap calculation (like jmax), but doesn't work well here with the junction calculation:
    1045              :         // @ToDo: The driver would slowly start accelerating when he thinks the junction is clear, but may still decelerate for a bit and not jump to acceleration.
    1046              :         // @ToDo: This causes the driver not to drive over the junction because he thinks he won't make it in time before a foe may appear!
    1047              : 
    1048              :         // IIDM calculation -NOT- from the original Treiber/Kesting publication:
    1049              :         // Resulting acceleration also with the correct drive off term.
    1050              :         double calc_gap = estGap;
    1051              :         /*a_free = myAccel * (1. - pow(estSpeed / v0, myDelta));
    1052              :         if (s >= calc_gap) { // This is the IIDM
    1053              :             acc = myAccel * (1. - (s * s) / (calc_gap * calc_gap));
    1054              :         } else {
    1055              :             acc = a_free * (1. - pow(s / calc_gap, 2*myAccel / fabs(a_free)));
    1056              :         } */ // Old calculation form without the distinction between v > v0 and v <= v0!!! Published it in the EIDM with this form, but may be worse than original IIDM!
    1057              : 
    1058              :         // IDM calculation:
    1059              :         // acc = myAccel * (1. - pow(estSpeed / v0, myDelta) - (s * s) / (calc_gap * calc_gap));
    1060              : 
    1061              :         // IIDM calculation from the original Treiber/Kesting publication:
    1062              :         // Resulting acceleration also with the correct drive off term.
    1063    173949410 :         if (estSpeed <= v0) {
    1064    169398313 :             a_free = myAccel * (1. - pow(estSpeed / v0, myDelta));
    1065    169398313 :             if (s >= calc_gap) {
    1066     11499561 :                 acc = myAccel * (1. - (s * s) / (calc_gap * calc_gap));
    1067              :             } else {
    1068    157898752 :                 acc = a_free * (1. - pow(s / calc_gap, 2 * myAccel / a_free));
    1069              :             }
    1070              :         } else { // estSpeed > v0
    1071      4551097 :             a_free = - myDecel * (1. - pow(v0 / estSpeed, myAccel * myDelta / myDecel));
    1072      4551097 :             if (s >= calc_gap) {
    1073       253437 :                 acc = a_free + myAccel * (1. - (s * s) / (calc_gap * calc_gap));
    1074              :             } else {
    1075              :                 acc = a_free;
    1076              :             }
    1077              :         }
    1078              : 
    1079              :         double a_cah;
    1080              :         // Coolness from Enhanced Intelligent Driver Model, when gap "jump" to a smaller gap accurs
    1081              :         // @ToDo: Maybe without usage == CalcReason::CURRENT??? To let all calculations profit from Coolness??? (e.g. also lane change calculation)
    1082    173949410 :         if (vars->minaccel > wantedacc - NUMERICAL_EPS && usage == CalcReason::CURRENT) {
    1083              : 
    1084     76265777 :             leader = (MSVehicle*)veh->getLeader(estGap + 25).first;
    1085     76265773 :             if (leader != nullptr && lastrespectMinGap && estleaderSpeed >= SPEED_EPS) {
    1086     72685300 :                 a_leader = MIN2(leader->getAcceleration(), myAccel);
    1087              :                 // Change a_leader to lower values when far away from leader or else far away leaders influence the ego-vehicle!
    1088     72685300 :                 if (estGap > s * 3 / 2) { // maybe estGap > 2*s???
    1089     56146459 :                     a_leader = a_leader * (s * 3 / 2) / estGap;
    1090              :                 }
    1091              :             }
    1092              : 
    1093              :             // speed of the leader shouldnt become zero, because then problems with the calculation occur
    1094     76265773 :             if (estleaderSpeed < SPEED_EPS) {
    1095              :                 estleaderSpeed = SPEED_EPS;
    1096              :             }
    1097              : 
    1098     76265773 :             if (vars->t_off + myTaccmax + NUMERICAL_EPS < (SIMTIME - TS * (myIterations - i - 1.) / myIterations) && egoSpeed > SUMO_const_haltingSpeed) {
    1099              : 
    1100              :                 // Enhanced Intelligent Driver Model
    1101     72002350 :                 if (estleaderSpeed * (estSpeed - estleaderSpeed) <= -2 * estGap * a_leader) {
    1102     45591004 :                     a_cah = (estSpeed * estSpeed * a_leader) / (estleaderSpeed * estleaderSpeed - 2 * estGap * a_leader);
    1103              :                 } else {
    1104     26411346 :                     if (estSpeed - estleaderSpeed >= 0) {
    1105     21632321 :                         a_cah = a_leader - ((estSpeed - estleaderSpeed) * (estSpeed - estleaderSpeed)) / (2 * estGap);
    1106              :                     } else {
    1107              :                         a_cah = a_leader;
    1108              :                     }
    1109              :                 }
    1110              : 
    1111     72002350 :                 if (acc >= a_cah) {
    1112              :                     // do nothing, meaning acc = acc_IDM;
    1113              :                 } else {
    1114      4831261 :                     acc = (1 - myCcoolness) * acc + myCcoolness * (a_cah + myDecel * tanh((acc - a_cah) / myDecel));
    1115              :                 }
    1116              :             }
    1117              :         }
    1118              : 
    1119    173949406 :         newSpeed = MAX2(0.0, current_estSpeed + ACCEL2SPEED(acc) / myIterations);
    1120              : 
    1121              :         // Euler Update as future gap prediction, this will be the "real" gap with this timestep and speed calculation
    1122              :         // Although this is the correct gap prediction, the calculation is unstable with this method
    1123              :         //newGap = MAX2(NUMERICAL_EPS, current_gap - SPEED2DIST(newSpeed - predSpeed) * ((i + 1.) / myIterations));
    1124              : 
    1125              :         // Ballistic Update as future gap prediction, this will be the "real" gap with this timestep and speed calculation
    1126              :         // Although this is the correct gap prediction, the calculation is unstable with this method
    1127              :         //newGap = MAX2(NUMERICAL_EPS, current_gap - SPEED2DIST(MAX2(0.0, current_estSpeed + 0.5 * ACCEL2SPEED(acc) ((i + 1.) / myIterations)) - predSpeed) * ((i + 1.) / myIterations));
    1128              : 
    1129              :         // We cannot rely on sub-timesteps, because the here calculated "sub"-gap will not match the "full"-gap calculation of the Euler/Ballistic Update.
    1130              :         // The "full"-gap is only calculated with the last measured newSpeed, while the "sub"-gap uses all "sub"-newSpeeds
    1131              :         // Example: In the last iteration-step newSpeed becomes 0. Therefore in the Euler Update, the vehicle does not move for the whole timestep!
    1132              :         // Example: But in the "sub"-gaps the vehicle may have moved. Therefore, stops can sometimes not be reached
    1133    292137884 :         newGap = MAX2(NUMERICAL_EPS, newGap - MAX2(0., SPEED2DIST(newSpeed - predSpeed) / myIterations));
    1134              :         // Ballistic:
    1135              :         //newGap = MAX2(NUMERICAL_EPS, newGap - MAX2(0., SPEED2DIST(MAX2(0.0, current_estSpeed + 0.5 * ACCEL2SPEED(acc) / myIterations) - predSpeed) / myIterations));
    1136              : 
    1137              :         // To always reach stops in high-timestep simulations, we adapt the speed to the actual distance that is covered:
    1138              :         // This may only be needed for Euler Update...
    1139    173949406 :         if (myIterations > 1 && newSpeed < EST_REAC_THRESHOLD * TS && !lastrespectMinGap) {
    1140      2324231 :             newSpeed = MAX2(0.0, predSpeed + DIST2SPEED(current_gap - newGap) * myIterations / (i + 1.));
    1141              :         }
    1142              :     }
    1143              : 
    1144              :     // The "real" acceleration after iterations
    1145    115328220 :     acc = SPEED2ACCEL(MIN2(newSpeed, maxNextSpeed(egoSpeed, veh)) - veh->getSpeed());
    1146              : 
    1147              : #ifdef DEBUG_V
    1148              :     if (veh->isSelected()) {
    1149              :         std::cout << SIMTIME
    1150              :                   << " EIDM::_v "
    1151              :                   << " veh=" << veh->getID()
    1152              :                   << " vars->minaccel=" << vars->minaccel
    1153              :                   << " vars->myap_update=" << vars->myap_update
    1154              :                   << " vars->myv_est_l=" << vars->myv_est_l
    1155              :                   << " vars->myv_est=" << vars->myv_est
    1156              :                   << " vars->mys_est=" << vars->mys_est
    1157              :                   << " vars->wouldacc=" << vars->wouldacc
    1158              :                   << " vars->realacc=" << vars->realacc
    1159              :                   << "\n";
    1160              :         std::cout << SIMTIME
    1161              :                   << " EIDM::_v (2) "
    1162              :                   << " veh=" << veh->getID()
    1163              :                   << " newSpeed=" << newSpeed
    1164              :                   << " newGap=" << newGap
    1165              :                   << " predSpeed=" << predSpeed
    1166              :                   << " estSpeed=" << estSpeed
    1167              :                   << " estleaderSpeed=" << estleaderSpeed
    1168              :                   << " estGap=" << estGap
    1169              :                   << " wantedacc=" << wantedacc
    1170              :                   << " wouldacc=" << wouldacc
    1171              :                   << " acc=" << acc
    1172              :                   << "\n";
    1173              :     }
    1174              : #endif
    1175              : 
    1176              :     // wantedacc is already calculated at this point. acc may still change (because of coolness and drive off), but the ratio should stay the same!
    1177              :     // this means when vars->minaccel > wantedacc stands, so should vars->minaccel > acc!
    1178              :     // When updating at an Action Point, store the observed variables for the next time steps until the next Action Point.
    1179     57664110 :     if (vars->minaccel > wantedacc - NUMERICAL_EPS && vars->myap_update == 0 && usage == CalcReason::CURRENT) {
    1180     18936262 :         vars->myv_est_l = predSpeed;
    1181     18936262 :         vars->myv_est = egoSpeed;
    1182     18936262 :         if (update == 2) { // For freeSpeed
    1183        17368 :             vars->mys_est = current_gap + myTreaction * egoSpeed;
    1184              :         } else {
    1185     18918894 :             vars->mys_est = current_gap;
    1186              :         }
    1187     18936262 :         vars->myrespectMinGap = respectMinGap;
    1188              :     }
    1189              : 
    1190     38900280 :     if (usage == CalcReason::CURRENT && vars->wouldacc > wouldacc) {
    1191      1366936 :         vars->wouldacc = wouldacc;
    1192              :     }
    1193              : 
    1194              :     // It can happen that wantedacc ist higher than previous calculated wantedacc, BUT acc is lower than prev calculated values!
    1195              :     // This often occurs because of "coolness"+Iteration and in this case "acc" is set to the previous (higher) calculated value!
    1196     57664110 :     if (vars->realacc > acc && vars->minaccel <= wantedacc - NUMERICAL_EPS && usage == CalcReason::CURRENT) {
    1197              :         acc = vars->realacc;
    1198         3975 :         newSpeed = MAX2(0.0, egoSpeed + ACCEL2SPEED(acc));
    1199              :     }
    1200              : 
    1201              :     // Capture the relevant variables, because it was determined, that this call will result in the acceleration update (vars->minaccel > wantedacc)
    1202     57664110 :     if (vars->minaccel > wantedacc - NUMERICAL_EPS && usage == CalcReason::CURRENT) {
    1203     26082493 :         vars->minaccel = wantedacc;
    1204     26082493 :         if (vars->realacc > acc) {
    1205      5938809 :             vars->realacc = acc;
    1206              :         }
    1207     26082493 :         vars->realleaderacc = a_leader;
    1208              :     }
    1209              : 
    1210              :     // Save the parameters for a potential update in finalizeSpeed, when _v was called in a stopSpeed-function!!!
    1211     57664110 :     if (vars->minaccel > wantedacc - NUMERICAL_EPS && usage == CalcReason::CURRENT_WAIT && !respectMinGap) {
    1212      9761990 :         vars->stop.push_back(std::make_pair(acc, gap2pred));
    1213              :     }
    1214              : 
    1215     57664110 :     return MAX2(0., newSpeed);
    1216              : }
    1217              : 
    1218              : 
    1219              : MSCFModel*
    1220            0 : MSCFModel_EIDM::duplicate(const MSVehicleType* vtype) const {
    1221            0 :     return new MSCFModel_EIDM(vtype);
    1222              : }
        

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