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#include <cmath> |
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#include <math.h> |
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|
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#include "MatVec3.h" |
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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 "Thermo.hpp" |
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#include "ReadWrite.hpp" |
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#include "Integrator.hpp" |
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#include "simError.h" |
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#include "simError.h" |
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|
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#ifdef IS_MPI |
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#include "mpiSimulation.hpp" |
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#endif |
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|
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// Basic non-isotropic thermostating and barostating via the Melchionna |
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// modification of the Hoover algorithm: |
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// |
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// Melchionna, S., Ciccotti, G., and Holian, B. L., 1993, |
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// Molec. Phys., 78, 533. |
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// Molec. Phys., 78, 533. |
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// |
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// and |
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// |
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// |
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// Hoover, W. G., 1986, Phys. Rev. A, 34, 2499. |
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template<typename T> NPTf<T>::NPTf ( SimInfo *theInfo, ForceFields* the_ff): |
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T( theInfo, the_ff ) |
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{ |
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GenericData* data; |
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DoubleArrayData * etaValue; |
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vector<double> etaArray; |
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int i,j; |
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|
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for(i = 0; i < 3; i++){ |
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for (j = 0; j < 3; j++){ |
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|
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eta[i][j] = 0.0; |
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oldEta[i][j] = 0.0; |
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} |
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} |
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|
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|
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if( theInfo->useInitXSstate ){ |
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// retrieve eta array from simInfo if it exists |
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data = info->getProperty(ETAVALUE_ID); |
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if(data){ |
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etaValue = dynamic_cast<DoubleArrayData*>(data); |
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|
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if(etaValue){ |
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etaArray = etaValue->getData(); |
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|
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for(i = 0; i < 3; i++){ |
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for (j = 0; j < 3; j++){ |
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eta[i][j] = etaArray[3*i+j]; |
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oldEta[i][j] = eta[i][j]; |
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} |
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} |
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} |
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} |
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} |
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|
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} |
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|
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template<typename T> NPTf<T>::~NPTf() { |
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|
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// empty for now |
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} |
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|
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template<typename T> void NPTf<T>::resetIntegrator() { |
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|
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int i, j; |
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chi = 0.0; |
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integralOfChidt = 0.0; |
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|
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for(i = 0; i < 3; i++) |
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for (j = 0; j < 3; j++) |
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for(i = 0; i < 3; i++) |
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for (j = 0; j < 3; j++) |
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eta[i][j] = 0.0; |
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|
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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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T::resetIntegrator(); |
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} |
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|
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template<typename T> void NPTf<T>::moveA() { |
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template<typename T> void NPTf<T>::evolveEtaA() { |
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|
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int i, j; |
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|
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for(i = 0; i < 3; i ++){ |
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for(j = 0; j < 3; j++){ |
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if( i == j) |
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eta[i][j] += dt2 * instaVol * |
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(press[i][j] - targetPressure/p_convert) / (NkBT*tb2); |
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else |
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eta[i][j] += dt2 * instaVol * press[i][j] / (NkBT*tb2); |
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} |
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} |
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int i, j, k; |
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DirectionalAtom* dAtom; |
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double Tb[3], ji[3]; |
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double A[3][3], I[3][3]; |
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double angle, mass; |
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double vel[3], pos[3], frc[3]; |
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for(i = 0; i < 3; i++) |
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for (j = 0; j < 3; j++) |
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oldEta[i][j] = eta[i][j]; |
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} |
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|
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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 sc[3]; |
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double eta2ij; |
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double press[3][3], vScale[3][3], hm[3][3], hmnew[3][3], scaleMat[3][3]; |
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double bigScale, smallScale, offDiagMax; |
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template<typename T> void NPTf<T>::evolveEtaB() { |
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tt2 = tauThermostat * tauThermostat; |
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tb2 = tauBarostat * tauBarostat; |
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int i,j; |
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|
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instaTemp = tStats->getTemperature(); |
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tStats->getPressureTensor(press); |
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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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|
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chi += dt2 * ( instaTemp / targetTemp - 1.0) / tt2; |
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for(i = 0; i < 3; i++) |
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for (j = 0; j < 3; j++) |
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prevEta[i][j] = eta[i][j]; |
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|
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for (i = 0; i < 3; i++ ) { |
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for (j = 0; j < 3; j++ ) { |
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if (i == j) { |
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|
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eta[i][j] += dt2 * instaVol * |
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(press[i][j] - targetPressure/p_convert) / (NkBT*tb2); |
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|
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vScale[i][j] = eta[i][j] + chi; |
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|
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for(i = 0; i < 3; i ++){ |
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for(j = 0; j < 3; j++){ |
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if( i == j) { |
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eta[i][j] = oldEta[i][j] + dt2 * instaVol * |
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(press[i][j] - targetPressure/p_convert) / (NkBT*tb2); |
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} else { |
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eta[i][j] += dt2 * instaVol * press[i][j] / (NkBT*tb2); |
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vScale[i][j] = eta[i][j]; |
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eta[i][j] = oldEta[i][j] + dt2 * instaVol * press[i][j] / (NkBT*tb2); |
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} |
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} |
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} |
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} |
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|
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for( i=0; i<nAtoms; i++ ){ |
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template<typename T> void NPTf<T>::calcVelScale(void){ |
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int i,j; |
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|
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atoms[i]->getVel( vel ); |
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atoms[i]->getPos( pos ); |
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atoms[i]->getFrc( frc ); |
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for (i = 0; i < 3; i++ ) { |
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for (j = 0; j < 3; j++ ) { |
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vScale[i][j] = eta[i][j]; |
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mass = atoms[i]->getMass(); |
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|
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// velocity half step |
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info->matVecMul3( vScale, vel, sc ); |
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|
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for (j = 0; j < 3; j++) { |
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vel[j] += dt2 * ((frc[j] / mass) * eConvert - sc[j]); |
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rj[j] = pos[j]; |
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if (i == j) { |
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vScale[i][j] += chi; |
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} |
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} |
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} |
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} |
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|
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atoms[i]->setVel( vel ); |
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template<typename T> void NPTf<T>::getVelScaleA(double sc[3], double vel[3]) { |
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|
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matVecMul3( vScale, vel, sc ); |
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} |
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// position whole step |
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template<typename T> void NPTf<T>::getVelScaleB(double sc[3], int index ){ |
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int j; |
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double myVel[3]; |
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|
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info->wrapVector(rj); |
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for (j = 0; j < 3; j++) |
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myVel[j] = oldVel[3*index + j]; |
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|
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matVecMul3( vScale, myVel, sc ); |
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} |
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|
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info->matVecMul3( eta, rj, sc ); |
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template<typename T> void NPTf<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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double rj[3]; |
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|
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for (j = 0; j < 3; j++ ) |
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pos[j] += dt * (vel[j] + sc[j]); |
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for(j=0; j<3; j++) |
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rj[j] = ( oldPos[index*3+j] + pos[j]) / 2.0 - COM[j]; |
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|
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atoms[i]->setPos( pos ); |
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|
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if( atoms[i]->isDirectional() ){ |
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matVecMul3( eta, rj, sc ); |
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} |
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|
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dAtom = (DirectionalAtom *)atoms[i]; |
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|
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// get and convert the torque to body frame |
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|
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dAtom->getTrq( Tb ); |
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dAtom->lab2Body( Tb ); |
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|
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// get the angular momentum, and propagate a half step |
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template<typename T> void NPTf<T>::scaleSimBox( void ){ |
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|
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dAtom->getJ( ji ); |
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int i,j,k; |
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double scaleMat[3][3]; |
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double eta2ij; |
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double bigScale, smallScale, offDiagMax; |
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double hm[3][3], hmnew[3][3]; |
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|
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for (j=0; j < 3; j++) |
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ji[j] += dt2 * (Tb[j] * eConvert - ji[j]*chi); |
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|
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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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|
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dAtom->getA(A); |
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dAtom->getI(I); |
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|
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// rotate about the x-axis |
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angle = dt2 * ji[0] / I[0][0]; |
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this->rotate( 1, 2, angle, ji, A ); |
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|
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// rotate about the y-axis |
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angle = dt2 * ji[1] / I[1][1]; |
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this->rotate( 2, 0, angle, ji, A ); |
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|
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// rotate about the z-axis |
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angle = dt * ji[2] / I[2][2]; |
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this->rotate( 0, 1, angle, ji, A); |
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|
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// rotate about the y-axis |
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angle = dt2 * ji[1] / I[1][1]; |
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this->rotate( 2, 0, angle, ji, A ); |
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|
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// rotate about the x-axis |
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angle = dt2 * ji[0] / I[0][0]; |
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this->rotate( 1, 2, angle, ji, A ); |
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|
| 159 |
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dAtom->setJ( ji ); |
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dAtom->setA( A ); |
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} |
| 162 |
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} |
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|
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// Scale the box after all the positions have been moved: |
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|
| 172 |
> |
|
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|
// Use a taylor expansion for eta products: Hmat = Hmat . exp(dt * etaMat) |
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|
// Hmat = Hmat . ( Ident + dt * etaMat + dt^2 * etaMat*etaMat / 2) |
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|
| 175 |
> |
|
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bigScale = 1.0; |
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smallScale = 1.0; |
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offDiagMax = 0.0; |
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|
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> |
|
| 180 |
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for(i=0; i<3; i++){ |
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for(j=0; j<3; j++){ |
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|
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> |
|
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// Calculate the matrix Product of the eta array (we only need |
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// the ij element right now): |
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< |
|
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> |
|
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eta2ij = 0.0; |
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for(k=0; k<3; k++){ |
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eta2ij += eta[i][k] * eta[k][j]; |
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} |
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< |
|
| 190 |
> |
|
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scaleMat[i][j] = 0.0; |
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|
// identity matrix (see above): |
| 193 |
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if (i == j) scaleMat[i][j] = 1.0; |
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// Taylor expansion for the exponential truncated at second order: |
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scaleMat[i][j] += dt*eta[i][j] + 0.5*dt*dt*eta2ij; |
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+ |
|
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|
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if (i != j) |
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< |
if (fabs(scaleMat[i][j]) > offDiagMax) |
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> |
if (fabs(scaleMat[i][j]) > offDiagMax) |
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offDiagMax = fabs(scaleMat[i][j]); |
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} |
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|
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if (scaleMat[i][i] > bigScale) bigScale = scaleMat[i][i]; |
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if (scaleMat[i][i] < smallScale) smallScale = scaleMat[i][i]; |
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} |
| 206 |
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|
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< |
if ((bigScale > 1.1) || (smallScale < 0.9)) { |
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> |
|
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> |
if ((bigScale > 1.01) || (smallScale < 0.99)) { |
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|
sprintf( painCave.errMsg, |
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< |
"NPTf error: Attempting a Box scaling of more than 10 percent.\n" |
| 209 |
> |
"NPTf error: Attempting a Box scaling of more than 1 percent.\n" |
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|
" Check your tauBarostat, as it is probably too small!\n\n" |
| 211 |
|
" scaleMat = [%lf\t%lf\t%lf]\n" |
| 212 |
|
" [%lf\t%lf\t%lf]\n" |
| 213 |
+ |
" [%lf\t%lf\t%lf]\n" |
| 214 |
+ |
" eta = [%lf\t%lf\t%lf]\n" |
| 215 |
+ |
" [%lf\t%lf\t%lf]\n" |
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|
" [%lf\t%lf\t%lf]\n", |
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|
scaleMat[0][0],scaleMat[0][1],scaleMat[0][2], |
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|
scaleMat[1][0],scaleMat[1][1],scaleMat[1][2], |
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< |
scaleMat[2][0],scaleMat[2][1],scaleMat[2][2]); |
| 219 |
> |
scaleMat[2][0],scaleMat[2][1],scaleMat[2][2], |
| 220 |
> |
eta[0][0],eta[0][1],eta[0][2], |
| 221 |
> |
eta[1][0],eta[1][1],eta[1][2], |
| 222 |
> |
eta[2][0],eta[2][1],eta[2][2]); |
| 223 |
|
painCave.isFatal = 1; |
| 224 |
|
simError(); |
| 225 |
< |
} else if (offDiagMax > 0.1) { |
| 225 |
> |
} else if (offDiagMax > 0.01) { |
| 226 |
|
sprintf( painCave.errMsg, |
| 227 |
< |
"NPTf error: Attempting an off-diagonal Box scaling of more than 10 percent.\n" |
| 227 |
> |
"NPTf error: Attempting an off-diagonal Box scaling of more than 1 percent.\n" |
| 228 |
|
" Check your tauBarostat, as it is probably too small!\n\n" |
| 229 |
|
" scaleMat = [%lf\t%lf\t%lf]\n" |
| 230 |
|
" [%lf\t%lf\t%lf]\n" |
| 231 |
+ |
" [%lf\t%lf\t%lf]\n" |
| 232 |
+ |
" eta = [%lf\t%lf\t%lf]\n" |
| 233 |
+ |
" [%lf\t%lf\t%lf]\n" |
| 234 |
|
" [%lf\t%lf\t%lf]\n", |
| 235 |
|
scaleMat[0][0],scaleMat[0][1],scaleMat[0][2], |
| 236 |
|
scaleMat[1][0],scaleMat[1][1],scaleMat[1][2], |
| 237 |
< |
scaleMat[2][0],scaleMat[2][1],scaleMat[2][2]); |
| 237 |
> |
scaleMat[2][0],scaleMat[2][1],scaleMat[2][2], |
| 238 |
> |
eta[0][0],eta[0][1],eta[0][2], |
| 239 |
> |
eta[1][0],eta[1][1],eta[1][2], |
| 240 |
> |
eta[2][0],eta[2][1],eta[2][2]); |
| 241 |
|
painCave.isFatal = 1; |
| 242 |
|
simError(); |
| 243 |
|
} else { |
| 244 |
|
info->getBoxM(hm); |
| 245 |
< |
info->matMul3(hm, scaleMat, hmnew); |
| 245 |
> |
matMul3(hm, scaleMat, hmnew); |
| 246 |
|
info->setBoxM(hmnew); |
| 247 |
|
} |
| 228 |
– |
|
| 248 |
|
} |
| 249 |
|
|
| 250 |
< |
template<typename T> void NPTf<T>::moveB( void ){ |
| 250 |
> |
template<typename T> bool NPTf<T>::etaConverged() { |
| 251 |
> |
int i; |
| 252 |
> |
double diffEta, sumEta; |
| 253 |
|
|
| 254 |
< |
int i, j; |
| 255 |
< |
DirectionalAtom* dAtom; |
| 256 |
< |
double Tb[3], ji[3]; |
| 236 |
< |
double vel[3], frc[3]; |
| 237 |
< |
double mass; |
| 254 |
> |
sumEta = 0; |
| 255 |
> |
for(i = 0; i < 3; i++) |
| 256 |
> |
sumEta += pow(prevEta[i][i] - eta[i][i], 2); |
| 257 |
|
|
| 258 |
< |
double instaTemp, instaPress, instaVol; |
| 240 |
< |
double tt2, tb2; |
| 241 |
< |
double sc[3]; |
| 242 |
< |
double press[3][3], vScale[3][3]; |
| 243 |
< |
|
| 244 |
< |
tt2 = tauThermostat * tauThermostat; |
| 245 |
< |
tb2 = tauBarostat * tauBarostat; |
| 258 |
> |
diffEta = sqrt( sumEta / 3.0 ); |
| 259 |
|
|
| 260 |
< |
instaTemp = tStats->getTemperature(); |
| 261 |
< |
tStats->getPressureTensor(press); |
| 249 |
< |
instaVol = tStats->getVolume(); |
| 250 |
< |
|
| 251 |
< |
// first evolve chi a half step |
| 252 |
< |
|
| 253 |
< |
chi += dt2 * ( instaTemp / targetTemp - 1.0) / tt2; |
| 254 |
< |
|
| 255 |
< |
for (i = 0; i < 3; i++ ) { |
| 256 |
< |
for (j = 0; j < 3; j++ ) { |
| 257 |
< |
if (i == j) { |
| 260 |
> |
return ( diffEta <= etaTolerance ); |
| 261 |
> |
} |
| 262 |
|
|
| 263 |
< |
eta[i][j] += dt2 * instaVol * |
| 260 |
< |
(press[i][j] - targetPressure/p_convert) / (NkBT*tb2); |
| 263 |
> |
template<typename T> double NPTf<T>::getConservedQuantity(void){ |
| 264 |
|
|
| 265 |
< |
vScale[i][j] = eta[i][j] + chi; |
| 266 |
< |
|
| 267 |
< |
} else { |
| 268 |
< |
|
| 269 |
< |
eta[i][j] += dt2 * instaVol * press[i][j] / (NkBT*tb2); |
| 265 |
> |
double conservedQuantity; |
| 266 |
> |
double totalEnergy; |
| 267 |
> |
double thermostat_kinetic; |
| 268 |
> |
double thermostat_potential; |
| 269 |
> |
double barostat_kinetic; |
| 270 |
> |
double barostat_potential; |
| 271 |
> |
double trEta; |
| 272 |
> |
double a[3][3], b[3][3]; |
| 273 |
|
|
| 274 |
< |
vScale[i][j] = eta[i][j]; |
| 269 |
< |
|
| 270 |
< |
} |
| 271 |
< |
} |
| 272 |
< |
} |
| 274 |
> |
totalEnergy = tStats->getTotalE(); |
| 275 |
|
|
| 276 |
< |
for( i=0; i<nAtoms; i++ ){ |
| 276 |
> |
thermostat_kinetic = fkBT * tt2 * chi * chi / |
| 277 |
> |
(2.0 * eConvert); |
| 278 |
|
|
| 279 |
< |
atoms[i]->getVel( vel ); |
| 277 |
< |
atoms[i]->getFrc( frc ); |
| 279 |
> |
thermostat_potential = fkBT* integralOfChidt / eConvert; |
| 280 |
|
|
| 281 |
< |
mass = atoms[i]->getMass(); |
| 282 |
< |
|
| 283 |
< |
// velocity half step |
| 282 |
< |
|
| 283 |
< |
info->matVecMul3( vScale, vel, sc ); |
| 284 |
< |
|
| 285 |
< |
for (j = 0; j < 3; j++) { |
| 286 |
< |
vel[j] += dt2 * ((frc[j] / mass) * eConvert - sc[j]); |
| 287 |
< |
} |
| 281 |
> |
transposeMat3(eta, a); |
| 282 |
> |
matMul3(a, eta, b); |
| 283 |
> |
trEta = matTrace3(b); |
| 284 |
|
|
| 285 |
< |
atoms[i]->setVel( vel ); |
| 286 |
< |
|
| 291 |
< |
if( atoms[i]->isDirectional() ){ |
| 285 |
> |
barostat_kinetic = NkBT * tb2 * trEta / |
| 286 |
> |
(2.0 * eConvert); |
| 287 |
|
|
| 288 |
< |
dAtom = (DirectionalAtom *)atoms[i]; |
| 289 |
< |
|
| 295 |
< |
// get and convert the torque to body frame |
| 296 |
< |
|
| 297 |
< |
dAtom->getTrq( Tb ); |
| 298 |
< |
dAtom->lab2Body( Tb ); |
| 299 |
< |
|
| 300 |
< |
// get the angular momentum, and propagate a half step |
| 301 |
< |
|
| 302 |
< |
dAtom->getJ( ji ); |
| 303 |
< |
|
| 304 |
< |
for (j=0; j < 3; j++) |
| 305 |
< |
ji[j] += dt2 * (Tb[j] * eConvert - ji[j]*chi); |
| 306 |
< |
|
| 307 |
< |
dAtom->setJ( ji ); |
| 288 |
> |
barostat_potential = (targetPressure * tStats->getVolume() / p_convert) / |
| 289 |
> |
eConvert; |
| 290 |
|
|
| 291 |
< |
} |
| 292 |
< |
} |
| 311 |
< |
} |
| 291 |
> |
conservedQuantity = totalEnergy + thermostat_kinetic + thermostat_potential + |
| 292 |
> |
barostat_kinetic + barostat_potential; |
| 293 |
|
|
| 294 |
< |
template<typename T> void NPTf<T>::resetIntegrator() { |
| 314 |
< |
int i,j; |
| 315 |
< |
|
| 316 |
< |
chi = 0.0; |
| 294 |
> |
return conservedQuantity; |
| 295 |
|
|
| 318 |
– |
for(i = 0; i < 3; i++) |
| 319 |
– |
for (j = 0; j < 3; j++) |
| 320 |
– |
eta[i][j] = 0.0; |
| 321 |
– |
|
| 296 |
|
} |
| 297 |
|
|
| 298 |
< |
template<typename T> int NPTf<T>::readyCheck() { |
| 298 |
> |
template<typename T> string NPTf<T>::getAdditionalParameters(void){ |
| 299 |
> |
string parameters; |
| 300 |
> |
const int BUFFERSIZE = 2000; // size of the read buffer |
| 301 |
> |
char buffer[BUFFERSIZE]; |
| 302 |
|
|
| 303 |
< |
//check parent's readyCheck() first |
| 304 |
< |
if (T::readyCheck() == -1) |
| 328 |
< |
return -1; |
| 329 |
< |
|
| 330 |
< |
// First check to see if we have a target temperature. |
| 331 |
< |
// Not having one is fatal. |
| 332 |
< |
|
| 333 |
< |
if (!have_target_temp) { |
| 334 |
< |
sprintf( painCave.errMsg, |
| 335 |
< |
"NPTf error: You can't use the NPTf integrator\n" |
| 336 |
< |
" without a targetTemp!\n" |
| 337 |
< |
); |
| 338 |
< |
painCave.isFatal = 1; |
| 339 |
< |
simError(); |
| 340 |
< |
return -1; |
| 341 |
< |
} |
| 303 |
> |
sprintf(buffer,"\t%G\t%G;", chi, integralOfChidt); |
| 304 |
> |
parameters += buffer; |
| 305 |
|
|
| 306 |
< |
if (!have_target_pressure) { |
| 307 |
< |
sprintf( painCave.errMsg, |
| 308 |
< |
"NPTf error: You can't use the NPTf integrator\n" |
| 346 |
< |
" without a targetPressure!\n" |
| 347 |
< |
); |
| 348 |
< |
painCave.isFatal = 1; |
| 349 |
< |
simError(); |
| 350 |
< |
return -1; |
| 306 |
> |
for(int i = 0; i < 3; i++){ |
| 307 |
> |
sprintf(buffer,"\t%G\t%G\t%G;", eta[i][0], eta[i][1], eta[i][2]); |
| 308 |
> |
parameters += buffer; |
| 309 |
|
} |
| 352 |
– |
|
| 353 |
– |
// We must set tauThermostat. |
| 354 |
– |
|
| 355 |
– |
if (!have_tau_thermostat) { |
| 356 |
– |
sprintf( painCave.errMsg, |
| 357 |
– |
"NPTf error: If you use the NPTf\n" |
| 358 |
– |
" integrator, you must set tauThermostat.\n"); |
| 359 |
– |
painCave.isFatal = 1; |
| 360 |
– |
simError(); |
| 361 |
– |
return -1; |
| 362 |
– |
} |
| 310 |
|
|
| 311 |
< |
// We must set tauBarostat. |
| 365 |
< |
|
| 366 |
< |
if (!have_tau_barostat) { |
| 367 |
< |
sprintf( painCave.errMsg, |
| 368 |
< |
"NPTf error: If you use the NPTf\n" |
| 369 |
< |
" integrator, you must set tauBarostat.\n"); |
| 370 |
< |
painCave.isFatal = 1; |
| 371 |
< |
simError(); |
| 372 |
< |
return -1; |
| 373 |
< |
} |
| 311 |
> |
return parameters; |
| 312 |
|
|
| 375 |
– |
// We need NkBT a lot, so just set it here: |
| 376 |
– |
|
| 377 |
– |
NkBT = (double)info->ndf * kB * targetTemp; |
| 378 |
– |
|
| 379 |
– |
return 1; |
| 313 |
|
} |
| 381 |
– |
|
| 382 |
– |
template<typename T> double NPTf<T>::getConservedQuantity(void){ |
| 383 |
– |
|
| 384 |
– |
double conservedQuantity; |
| 385 |
– |
double tb2; |
| 386 |
– |
double eta2[3][3]; |
| 387 |
– |
double trEta; |
| 388 |
– |
|
| 389 |
– |
//HNVE |
| 390 |
– |
conservedQuantity = tStats->getTotalE(); |
| 391 |
– |
|
| 392 |
– |
//HNVT |
| 393 |
– |
conservedQuantity += (info->getNDF() * kB * targetTemp * |
| 394 |
– |
(integralOfChidt + tauThermostat * tauThermostat * chi * chi /2)) / eConvert; |
| 395 |
– |
|
| 396 |
– |
//HNPT |
| 397 |
– |
tb2 = tauBarostat *tauBarostat; |
| 398 |
– |
|
| 399 |
– |
trEta = info->matTrace3(eta); |
| 400 |
– |
|
| 401 |
– |
conservedQuantity += (targetPressure * tStats->getVolume() / p_convert + |
| 402 |
– |
3*NkBT/2 * tb2 * trEta * trEta) / eConvert; |
| 403 |
– |
|
| 404 |
– |
return conservedQuantity; |
| 405 |
– |
} |
