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#include <cmath> | 
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#include "Atom.hpp" | 
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#include "SRI.hpp" | 
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#include "AbstractClasses.hpp" | 
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#include "Integrator.hpp" | 
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#include "simError.h"  | 
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#ifdef IS_MPI | 
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#include "mpiSimulation.hpp" | 
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#endif | 
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// Basic isotropic thermostating and barostating via the Melchionna | 
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// modification of the Hoover algorithm: | 
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//  | 
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//    Hoover, W. G., 1986, Phys. Rev. A, 34, 2499. | 
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NPTi::NPTi ( SimInfo *theInfo, ForceFields* the_ff): | 
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  Integrator( theInfo, the_ff ) | 
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template<typename T> NPTi<T>::NPTi ( SimInfo *theInfo, ForceFields* the_ff): | 
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  T( theInfo, the_ff ) | 
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{ | 
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  chi = 0.0; | 
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  eta = 0.0; | 
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  have_tau_thermostat = 0; | 
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  have_tau_barostat = 0; | 
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  have_target_temp = 0; | 
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  have_target_pressure = 0; | 
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  oldEta = 0.0; | 
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} | 
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 | 
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void NPTi::moveA() { | 
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   | 
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  int i,j,k; | 
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  int atomIndex, aMatIndex; | 
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  DirectionalAtom* dAtom; | 
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  double Tb[3]; | 
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  double ji[3]; | 
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  double rj[3]; | 
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  double instaTemp, instaPress, instaVol; | 
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  double tt2, tb2; | 
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  double angle; | 
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template<typename T> NPTi<T>::~NPTi() { | 
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  //nothing for now | 
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} | 
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 | 
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  tt2 = tauThermostat * tauThermostat; | 
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  tb2 = tauBarostat * tauBarostat; | 
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template<typename T> void NPTi<T>::resetIntegrator() { | 
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  eta = 0.0; | 
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  T::resetIntegrator(); | 
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} | 
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 | 
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  instaTemp = tStats->getTemperature(); | 
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  instaPress = tStats->getPressure(); | 
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  instaVol = tStats->getVolume(); | 
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    | 
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  // first evolve chi a half step | 
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template<typename T> void NPTi<T>::evolveEtaA() { | 
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  eta += dt2 * ( instaVol * (instaPress - targetPressure) /  | 
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                 (p_convert*NkBT*tb2)); | 
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  oldEta = eta; | 
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} | 
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 | 
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template<typename T> void NPTi<T>::evolveEtaB() { | 
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  chi += dt2 * ( instaTemp / targetTemp - 1.0) / tt2; | 
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  eta += dt2 * ( instaVol * (instaPress - targetPressure) / (NkBT*tb2)); | 
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  prevEta = eta; | 
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  eta = oldEta + dt2 * ( instaVol * (instaPress - targetPressure) /  | 
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                 (p_convert*NkBT*tb2)); | 
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} | 
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 | 
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  for( i=0; i<nAtoms; i++ ){ | 
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    atomIndex = i * 3; | 
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    aMatIndex = i * 9; | 
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     | 
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    // velocity half step | 
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    for( j=atomIndex; j<(atomIndex+3); j++ ) | 
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      vel[j] += dt2 * ((frc[j]/atoms[i]->getMass())*eConvert  | 
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                       - vel[j]*(chi+eta)); | 
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template<typename T> void NPTi<T>::getVelScaleA(double sc[3], double vel[3]) { | 
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  int i; | 
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 | 
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    // position whole step     | 
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  for(i=0; i<3; i++) sc[i] = vel[i] * ( chi + eta ); | 
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} | 
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    for( j=atomIndex; j<(atomIndex+3); j=j+3 ) { | 
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      rj[0] = pos[j]; | 
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      rj[1] = pos[j+1]; | 
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      rj[2] = pos[j+2]; | 
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template<typename T> void NPTi<T>::getVelScaleB(double sc[3], int index ){ | 
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  int i; | 
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      info->wrapVector(rj); | 
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  for(i=0; i<3; i++) sc[i] = oldVel[index*3 + i] * ( chi + eta ); | 
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} | 
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      pos[j] += dt * (vel[j] + eta*rj[0]); | 
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      pos[j+1] += dt * (vel[j+1] + eta*rj[1]); | 
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      pos[j+2] += dt * (vel[j+2] + eta*rj[2]); | 
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    } | 
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    // Scale the box after all the positions have been moved: | 
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template<typename T> void NPTi<T>::getPosScale(double pos[3], double COM[3],  | 
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                                               int index, double sc[3]){ | 
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  int j; | 
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    info->scaleBox(dt*eta); | 
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    | 
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    if( atoms[i]->isDirectional() ){ | 
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  for(j=0; j<3; j++) | 
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    sc[j] = ( oldPos[index*3+j] + pos[j]) / 2.0 - COM[j]; | 
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 | 
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      dAtom = (DirectionalAtom *)atoms[i]; | 
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      // get and convert the torque to body frame | 
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      Tb[0] = dAtom->getTx(); | 
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      Tb[1] = dAtom->getTy(); | 
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      Tb[2] = dAtom->getTz(); | 
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      dAtom->lab2Body( Tb ); | 
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      // get the angular momentum, and propagate a half step | 
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      ji[0] = dAtom->getJx(); | 
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      ji[1] = dAtom->getJy(); | 
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      ji[2] = dAtom->getJz(); | 
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      ji[0] += dt2 * (Tb[0] * eConvert - ji[0]*chi); | 
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      ji[1] += dt2 * (Tb[1] * eConvert - ji[1]*chi); | 
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      ji[2] += dt2 * (Tb[2] * eConvert - ji[2]*chi); | 
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      // use the angular velocities to propagate the rotation matrix a | 
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      // full time step | 
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      // rotate about the x-axis       | 
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      angle = dt2 * ji[0] / dAtom->getIxx(); | 
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      this->rotate( 1, 2, angle, ji, &Amat[aMatIndex] );  | 
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      // rotate about the y-axis | 
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      angle = dt2 * ji[1] / dAtom->getIyy(); | 
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      this->rotate( 2, 0, angle, ji, &Amat[aMatIndex] ); | 
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      // rotate about the z-axis | 
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      angle = dt * ji[2] / dAtom->getIzz(); | 
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      this->rotate( 0, 1, angle, ji, &Amat[aMatIndex] ); | 
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      // rotate about the y-axis | 
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      angle = dt2 * ji[1] / dAtom->getIyy(); | 
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      this->rotate( 2, 0, angle, ji, &Amat[aMatIndex] ); | 
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       // rotate about the x-axis | 
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      angle = dt2 * ji[0] / dAtom->getIxx(); | 
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      this->rotate( 1, 2, angle, ji, &Amat[aMatIndex] ); | 
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      dAtom->setJx( ji[0] ); | 
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      dAtom->setJy( ji[1] ); | 
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      dAtom->setJz( ji[2] ); | 
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    } | 
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  } | 
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  for(j=0; j<3; j++) | 
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    sc[j] *= eta; | 
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} | 
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void NPTi::moveB( void ){ | 
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  int i,j,k; | 
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  int atomIndex; | 
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  DirectionalAtom* dAtom; | 
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  double Tb[3]; | 
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  double ji[3]; | 
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  double instaTemp, instaPress, instaVol; | 
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  double tt2, tb2; | 
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  tt2 = tauThermostat * tauThermostat; | 
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  tb2 = tauBarostat * tauBarostat; | 
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template<typename T> void NPTi<T>::scaleSimBox( void ){ | 
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  instaTemp = tStats->getTemperature(); | 
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  instaPress = tStats->getPressure(); | 
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  instaVol = tStats->getVolume(); | 
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  double scaleFactor; | 
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  chi += dt2 * ( instaTemp / targetTemp - 1.0) / tt2; | 
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  eta += dt2 * ( instaVol * (instaPress - targetPressure) / (NkBT*tb2)); | 
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  for( i=0; i<nAtoms; i++ ){ | 
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    atomIndex = i * 3; | 
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    // velocity half step | 
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    for( j=atomIndex; j<(atomIndex+3); j++ ) | 
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    for( j=atomIndex; j<(atomIndex+3); j++ ) | 
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      vel[j] += dt2 * ((frc[j]/atoms[i]->getMass())*eConvert  | 
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                       - vel[j]*(chi+eta)); | 
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    if( atoms[i]->isDirectional() ){ | 
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      dAtom = (DirectionalAtom *)atoms[i]; | 
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      // get and convert the torque to body frame | 
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      Tb[0] = dAtom->getTx(); | 
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      Tb[1] = dAtom->getTy(); | 
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      Tb[2] = dAtom->getTz(); | 
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      dAtom->lab2Body( Tb ); | 
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      // get the angular momentum, and complete the angular momentum | 
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      // half step | 
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      ji[0] = dAtom->getJx(); | 
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      ji[1] = dAtom->getJy(); | 
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      ji[2] = dAtom->getJz(); | 
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      ji[0] += dt2 * (Tb[0] * eConvert - ji[0]*chi); | 
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      ji[1] += dt2 * (Tb[1] * eConvert - ji[1]*chi); | 
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      ji[2] += dt2 * (Tb[2] * eConvert - ji[2]*chi); | 
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      dAtom->setJx( ji[0] ); | 
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      dAtom->setJy( ji[1] ); | 
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      dAtom->setJz( ji[2] ); | 
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    } | 
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  } | 
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} | 
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  scaleFactor = exp(dt*eta); | 
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int NPTi::readyCheck() { | 
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  | 
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  // First check to see if we have a target temperature.  | 
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  // Not having one is fatal.  | 
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  if (!have_target_temp) { | 
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  if ((scaleFactor > 1.1) || (scaleFactor < 0.9)) { | 
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    sprintf( painCave.errMsg, | 
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             "NPTi error: You can't use the NPTi integrator\n" | 
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             "   without a targetTemp!\n" | 
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             "NPTi error: Attempting a Box scaling of more than 10 percent" | 
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             " check your tauBarostat, as it is probably too small!\n" | 
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             " eta = %lf, scaleFactor = %lf\n", eta, scaleFactor | 
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             ); | 
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    painCave.isFatal = 1; | 
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    simError(); | 
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    return -1; | 
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  } | 
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  } else {          | 
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    info->scaleBox(scaleFactor);       | 
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  }   | 
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 | 
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  if (!have_target_pressure) { | 
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    sprintf( painCave.errMsg, | 
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             "NPTi error: You can't use the NPTi integrator\n" | 
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             "   without a targetPressure!\n" | 
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             ); | 
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    painCave.isFatal = 1; | 
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    simError(); | 
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    return -1; | 
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  } | 
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} | 
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 | 
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template<typename T> bool NPTi<T>::etaConverged() { | 
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  return ( fabs(prevEta - eta) <= etaTolerance ); | 
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} | 
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 | 
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template<typename T> double NPTi<T>::getConservedQuantity(void){ | 
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 | 
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  double conservedQuantity; | 
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  double Energy; | 
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  double thermostat_kinetic; | 
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  double thermostat_potential; | 
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  double barostat_kinetic; | 
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  double barostat_potential; | 
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   | 
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  // We must set tauThermostat. | 
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    | 
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  if (!have_tau_thermostat) { | 
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    sprintf( painCave.errMsg, | 
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             "NPTi error: If you use the NPTi\n" | 
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             "   integrator, you must set tauThermostat.\n"); | 
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    painCave.isFatal = 1; | 
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    simError(); | 
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    return -1; | 
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  }     | 
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  Energy = tStats->getTotalE(); | 
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 | 
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  // We must set tauBarostat. | 
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< | 
    | 
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< | 
  if (!have_tau_barostat) { | 
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    sprintf( painCave.errMsg, | 
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             "NPTi error: If you use the NPTi\n" | 
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             "   integrator, you must set tauBarostat.\n"); | 
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    painCave.isFatal = 1; | 
| 238 | 
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    simError(); | 
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    return -1; | 
| 240 | 
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  }     | 
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> | 
  thermostat_kinetic = fkBT* tt2 * chi * chi /  | 
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    (2.0 * eConvert); | 
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 | 
| 118 | 
< | 
  // We need NkBT a lot, so just set it here: | 
| 118 | 
> | 
  thermostat_potential = fkBT* integralOfChidt / eConvert; | 
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 | 
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  NkBT = (double)info->ndf * kB * targetTemp; | 
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 | 
| 121 | 
< | 
  return 1; | 
| 121 | 
> | 
  barostat_kinetic = 3.0 * NkBT * tb2 * eta * eta /  | 
| 122 | 
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    (2.0 * eConvert); | 
| 123 | 
> | 
   | 
| 124 | 
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  barostat_potential = (targetPressure * tStats->getVolume() / p_convert) /  | 
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    eConvert; | 
| 126 | 
> | 
 | 
| 127 | 
> | 
  conservedQuantity = Energy + thermostat_kinetic + thermostat_potential + | 
| 128 | 
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    barostat_kinetic + barostat_potential; | 
| 129 | 
> | 
   | 
| 130 | 
> | 
//   cout.width(8); | 
| 131 | 
> | 
//   cout.precision(8); | 
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> | 
 | 
| 133 | 
> | 
//   cerr << info->getTime() << "\t" << Energy << "\t" << thermostat_kinetic <<  | 
| 134 | 
> | 
//       "\t" << thermostat_potential << "\t" << barostat_kinetic <<  | 
| 135 | 
> | 
//       "\t" << barostat_potential << "\t" << conservedQuantity << endl; | 
| 136 | 
> | 
  return conservedQuantity;  | 
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  | 
} |