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mmeineke |
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#include <iostream> |
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#include <cstdlib> |
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#include "Integrator.hpp" |
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#include "Thermo.hpp" |
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#include "ReadWrite.hpp" |
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#include "ForceFields.hpp" |
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#include "simError.h" |
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extern "C"{ |
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void v_constrain_a_( double &dt, int &n_atoms, double* mass, |
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double* Rx, double* Ry, double* Rz, |
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double* Vx, double* Vy, double* Vz, |
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double* Fx, double* Fy, double* Fz, |
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int &n_constrained, double *constr_sqr, |
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int* constr_i, int* constr_j, |
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double &box_x, double &box_y, double &box_z ); |
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void v_constrain_b_( double &dt, int &n_atoms, double* mass, |
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double* Rx, double* Ry, double* Rz, |
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double* Vx, double* Vy, double* Vz, |
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double* Fx, double* Fy, double* Fz, |
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double &Kinetic, |
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int &n_constrained, double *constr_sqr, |
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int* constr_i, int* constr_j, |
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double &box_x, double &box_y, double &box_z ); |
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} |
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Symplectic::Symplectic( SimInfo* the_entry_plug, ForceFields* the_ff ){ |
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entry_plug = the_entry_plug; |
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myFF = the_ff; |
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isFirst = 1; |
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srInteractions = entry_plug->sr_interactions; |
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nSRI = entry_plug->n_SRI; |
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// give a little love back to the SimInfo object |
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if( entry_plug->the_integrator != NULL ) delete entry_plug->the_integrator; |
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entry_plug->the_integrator = this; |
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// grab the masses |
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mass = new double[entry_plug->n_atoms]; |
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for(int i = 0; i < entry_plug->n_atoms; i++){ |
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mass[i] = entry_plug->atoms[i]->getMass(); |
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} |
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// check for constraints |
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is_constrained = 0; |
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Constraint *temp_con; |
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Constraint *dummy_plug; |
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temp_con = new Constraint[nSRI]; |
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n_constrained = 0; |
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int constrained = 0; |
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for(int i = 0; i < nSRI; i++){ |
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constrained = srInteractions[i]->is_constrained(); |
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if(constrained){ |
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dummy_plug = srInteractions[i]->get_constraint(); |
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temp_con[n_constrained].set_a( dummy_plug->get_a() ); |
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temp_con[n_constrained].set_b( dummy_plug->get_b() ); |
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temp_con[n_constrained].set_dsqr( dummy_plug->get_dsqr() ); |
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n_constrained++; |
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constrained = 0; |
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} |
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} |
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if(n_constrained > 0){ |
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is_constrained = 1; |
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constrained_i = new int[n_constrained]; |
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constrained_j = new int[n_constrained]; |
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constrained_dsqr = new double[n_constrained]; |
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for( int i = 0; i < n_constrained; i++){ |
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/* add 1 to the index for the fortran arrays. */ |
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constrained_i[i] = temp_con[i].get_a() + 1; |
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constrained_j[i] = temp_con[i].get_b() + 1; |
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constrained_dsqr[i] = temp_con[i].get_dsqr(); |
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} |
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} |
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delete[] temp_con; |
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} |
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Symplectic::~Symplectic() { |
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if( n_constrained ){ |
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delete[] constrained_i; |
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delete[] constrained_j; |
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delete[] constrained_dsqr; |
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} |
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} |
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void Symplectic::integrate( void ){ |
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const double e_convert = 4.184e-4; // converts kcal/mol -> amu*A^2/fs^2 |
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int i, j; // loop counters |
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int nAtoms = entry_plug->n_atoms; // the number of atoms |
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double kE = 0.0; // the kinetic energy |
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double rot_kE; |
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double trans_kE; |
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int tl; // the time loop conter |
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double dt2; // half the dt |
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double vx, vy, vz; // the velocities |
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// double vx2, vy2, vz2; // the square of the velocities |
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double rx, ry, rz; // the postitions |
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double ji[3]; // the body frame angular momentum |
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double jx2, jy2, jz2; // the square of the angular momentums |
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double Tb[3]; // torque in the body frame |
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double angle; // the angle through which to rotate the rotation matrix |
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double A[3][3]; // the rotation matrix |
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int time; |
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double dt = entry_plug->dt; |
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double runTime = entry_plug->run_time; |
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double sampleTime = entry_plug->sampleTime; |
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double statusTime = entry_plug->statusTime; |
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double thermalTime = entry_plug->thermalTime; |
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int n_loops = (int)( runTime / dt ); |
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int sample_n = (int)( sampleTime / dt ); |
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int status_n = (int)( statusTime / dt ); |
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int vel_n = (int)( thermalTime / dt ); |
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int calcPot; |
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Thermo *tStats = new Thermo( entry_plug ); |
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StatWriter* e_out = new StatWriter( entry_plug ); |
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DumpWriter* dump_out = new DumpWriter( entry_plug ); |
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Atom** atoms = entry_plug->atoms; |
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DirectionalAtom* dAtom; |
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dt2 = 0.5 * dt; |
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// initialize the forces the before the first step |
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myFF->doForces(1,0); |
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if( entry_plug->setTemp ){ |
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tStats->velocitize(); |
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} |
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dump_out->writeDump( 0.0 ); |
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e_out->writeStat( 0.0 ); |
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calcPot = 0; |
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if( n_constrained ){ |
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double *Rx = new double[nAtoms]; |
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double *Ry = new double[nAtoms]; |
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double *Rz = new double[nAtoms]; |
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double *Vx = new double[nAtoms]; |
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double *Vy = new double[nAtoms]; |
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double *Vz = new double[nAtoms]; |
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double *Fx = new double[nAtoms]; |
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double *Fy = new double[nAtoms]; |
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double *Fz = new double[nAtoms]; |
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for( tl=0; tl < n_loops; tl++ ){ |
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for( j=0; j<nAtoms; j++ ){ |
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Rx[j] = atoms[j]->getX(); |
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Ry[j] = atoms[j]->getY(); |
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Rz[j] = atoms[j]->getZ(); |
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Vx[j] = atoms[j]->get_vx(); |
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Vy[j] = atoms[j]->get_vy(); |
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Vz[j] = atoms[j]->get_vz(); |
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Fx[j] = atoms[j]->getFx(); |
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Fy[j] = atoms[j]->getFy(); |
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Fz[j] = atoms[j]->getFz(); |
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} |
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v_constrain_a_( dt, nAtoms, mass, Rx, Ry, Rz, Vx, Vy, Vz, |
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Fx, Fy, Fz, |
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n_constrained, constrained_dsqr, |
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constrained_i, constrained_j, |
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entry_plug->box_x, |
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entry_plug->box_y, |
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entry_plug->box_z ); |
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for( j=0; j<nAtoms; j++ ){ |
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atoms[j]->setX(Rx[j]); |
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atoms[j]->setY(Ry[j]); |
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atoms[j]->setZ(Rz[j]); |
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atoms[j]->set_vx(Vx[j]); |
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atoms[j]->set_vy(Vy[j]); |
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atoms[j]->set_vz(Vz[j]); |
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} |
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for( i=0; i<nAtoms; i++ ){ |
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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 propagate a half step |
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ji[0] = dAtom->getJx() + ( dt2 * Tb[0] ) * e_convert; |
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ji[1] = dAtom->getJy() + ( dt2 * Tb[1] ) * e_convert; |
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ji[2] = dAtom->getJz() + ( dt2 * Tb[2] ) * e_convert; |
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// get the atom's rotation matrix |
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A[0][0] = dAtom->getAxx(); |
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A[0][1] = dAtom->getAxy(); |
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A[0][2] = dAtom->getAxz(); |
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A[1][0] = dAtom->getAyx(); |
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A[1][1] = dAtom->getAyy(); |
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A[1][2] = dAtom->getAyz(); |
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A[2][0] = dAtom->getAzx(); |
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A[2][1] = dAtom->getAzy(); |
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A[2][2] = dAtom->getAzz(); |
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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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angle = dt2 * ji[0] / dAtom->getIxx(); |
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this->rotate( 1, 2, angle, ji, A ); // rotate about the x-axis |
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angle = dt2 * ji[1] / dAtom->getIyy(); |
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this->rotate( 2, 0, angle, ji, A ); // rotate about the y-axis |
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angle = dt * ji[2] / dAtom->getIzz(); |
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this->rotate( 0, 1, angle, ji, A ); // rotate about the z-axis |
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angle = dt2 * ji[1] / dAtom->getIyy(); |
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this->rotate( 2, 0, angle, ji, A ); // rotate about the y-axis |
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angle = dt2 * ji[0] / dAtom->getIxx(); |
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this->rotate( 1, 2, angle, ji, A ); // rotate about the x-axis |
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dAtom->setA( A ); |
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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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// calculate the forces |
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myFF->doForces(calcPot, 0); |
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// move b |
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for( j=0; j<nAtoms; j++ ){ |
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Rx[j] = atoms[j]->getX(); |
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Ry[j] = atoms[j]->getY(); |
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Rz[j] = atoms[j]->getZ(); |
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Vx[j] = atoms[j]->get_vx(); |
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Vy[j] = atoms[j]->get_vy(); |
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Vz[j] = atoms[j]->get_vz(); |
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Fx[j] = atoms[j]->getFx(); |
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Fy[j] = atoms[j]->getFy(); |
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Fz[j] = atoms[j]->getFz(); |
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} |
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v_constrain_b_( dt, nAtoms, mass, Rx, Ry, Rz, Vx, Vy, Vz, |
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Fx, Fy, Fz, |
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kE, n_constrained, constrained_dsqr, |
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constrained_i, constrained_j, |
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entry_plug->box_x, |
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entry_plug->box_y, |
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entry_plug->box_z ); |
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for( j=0; j<nAtoms; j++ ){ |
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atoms[j]->setX(Rx[j]); |
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atoms[j]->setY(Ry[j]); |
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atoms[j]->setZ(Rz[j]); |
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atoms[j]->set_vx(Vx[j]); |
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atoms[j]->set_vy(Vy[j]); |
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atoms[j]->set_vz(Vz[j]); |
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} |
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for( i=0; i< nAtoms; i++ ){ |
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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() + ( dt2 * Tb[0] ) * e_convert; |
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ji[1] = dAtom->getJy() + ( dt2 * Tb[1] ) * e_convert; |
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ji[2] = dAtom->getJz() + ( dt2 * Tb[2] ) * e_convert; |
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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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time = tl + 1; |
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if( entry_plug->setTemp ){ |
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if( !(time % vel_n) ) tStats->velocitize(); |
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} |
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if( !(time % sample_n) ) dump_out->writeDump( time * dt ); |
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if( !((time+1) % status_n) ) calcPot = 1; |
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if( !(time % status_n) ){ e_out->writeStat( time * dt ); calcPot = 0; } |
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} |
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} |
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else{ |
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for( tl=0; tl<n_loops; tl++ ){ |
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kE = 0.0; |
| 368 |
|
|
rot_kE= 0.0; |
| 369 |
|
|
trans_kE = 0.0; |
| 370 |
|
|
|
| 371 |
|
|
for( i=0; i<nAtoms; i++ ){ |
| 372 |
|
|
|
| 373 |
|
|
// velocity half step |
| 374 |
|
|
|
| 375 |
|
|
vx = atoms[i]->get_vx() + |
| 376 |
|
|
( dt2 * atoms[i]->getFx() / atoms[i]->getMass() ) * e_convert; |
| 377 |
|
|
vy = atoms[i]->get_vy() + |
| 378 |
|
|
( dt2 * atoms[i]->getFy() / atoms[i]->getMass() ) * e_convert; |
| 379 |
|
|
vz = atoms[i]->get_vz() + |
| 380 |
|
|
( dt2 * atoms[i]->getFz() / atoms[i]->getMass() ) * e_convert; |
| 381 |
|
|
|
| 382 |
|
|
// position whole step |
| 383 |
|
|
|
| 384 |
|
|
rx = atoms[i]->getX() + dt * vx; |
| 385 |
|
|
ry = atoms[i]->getY() + dt * vy; |
| 386 |
|
|
rz = atoms[i]->getZ() + dt * vz; |
| 387 |
|
|
|
| 388 |
|
|
atoms[i]->setX( rx ); |
| 389 |
|
|
atoms[i]->setY( ry ); |
| 390 |
|
|
atoms[i]->setZ( rz ); |
| 391 |
|
|
|
| 392 |
|
|
atoms[i]->set_vx( vx ); |
| 393 |
|
|
atoms[i]->set_vy( vy ); |
| 394 |
|
|
atoms[i]->set_vz( vz ); |
| 395 |
|
|
|
| 396 |
|
|
if( atoms[i]->isDirectional() ){ |
| 397 |
|
|
|
| 398 |
|
|
dAtom = (DirectionalAtom *)atoms[i]; |
| 399 |
|
|
|
| 400 |
|
|
// get and convert the torque to body frame |
| 401 |
|
|
|
| 402 |
|
|
Tb[0] = dAtom->getTx(); |
| 403 |
|
|
Tb[1] = dAtom->getTy(); |
| 404 |
|
|
Tb[2] = dAtom->getTz(); |
| 405 |
|
|
|
| 406 |
|
|
dAtom->lab2Body( Tb ); |
| 407 |
|
|
|
| 408 |
|
|
// get the angular momentum, and propagate a half step |
| 409 |
|
|
|
| 410 |
|
|
ji[0] = dAtom->getJx() + ( dt2 * Tb[0] ) * e_convert; |
| 411 |
|
|
ji[1] = dAtom->getJy() + ( dt2 * Tb[1] ) * e_convert; |
| 412 |
|
|
ji[2] = dAtom->getJz() + ( dt2 * Tb[2] ) * e_convert; |
| 413 |
|
|
|
| 414 |
|
|
// get the atom's rotation matrix |
| 415 |
|
|
|
| 416 |
|
|
A[0][0] = dAtom->getAxx(); |
| 417 |
|
|
A[0][1] = dAtom->getAxy(); |
| 418 |
|
|
A[0][2] = dAtom->getAxz(); |
| 419 |
|
|
|
| 420 |
|
|
A[1][0] = dAtom->getAyx(); |
| 421 |
|
|
A[1][1] = dAtom->getAyy(); |
| 422 |
|
|
A[1][2] = dAtom->getAyz(); |
| 423 |
|
|
|
| 424 |
|
|
A[2][0] = dAtom->getAzx(); |
| 425 |
|
|
A[2][1] = dAtom->getAzy(); |
| 426 |
|
|
A[2][2] = dAtom->getAzz(); |
| 427 |
|
|
|
| 428 |
|
|
|
| 429 |
|
|
// use the angular velocities to propagate the rotation matrix a |
| 430 |
|
|
// full time step |
| 431 |
|
|
|
| 432 |
|
|
|
| 433 |
|
|
angle = dt2 * ji[0] / dAtom->getIxx(); |
| 434 |
|
|
this->rotate( 1, 2, angle, ji, A ); // rotate about the x-axis |
| 435 |
|
|
|
| 436 |
|
|
angle = dt2 * ji[1] / dAtom->getIyy(); |
| 437 |
|
|
this->rotate( 2, 0, angle, ji, A ); // rotate about the y-axis |
| 438 |
|
|
|
| 439 |
|
|
angle = dt * ji[2] / dAtom->getIzz(); |
| 440 |
|
|
this->rotate( 0, 1, angle, ji, A ); // rotate about the z-axis |
| 441 |
|
|
|
| 442 |
|
|
angle = dt2 * ji[1] / dAtom->getIyy(); |
| 443 |
|
|
this->rotate( 2, 0, angle, ji, A ); // rotate about the y-axis |
| 444 |
|
|
|
| 445 |
|
|
angle = dt2 * ji[0] / dAtom->getIxx(); |
| 446 |
|
|
this->rotate( 1, 2, angle, ji, A ); // rotate about the x-axis |
| 447 |
|
|
|
| 448 |
|
|
|
| 449 |
|
|
dAtom->setA( A ); |
| 450 |
|
|
dAtom->setJx( ji[0] ); |
| 451 |
|
|
dAtom->setJy( ji[1] ); |
| 452 |
|
|
dAtom->setJz( ji[2] ); |
| 453 |
|
|
} |
| 454 |
|
|
} |
| 455 |
|
|
|
| 456 |
|
|
// calculate the forces |
| 457 |
|
|
|
| 458 |
|
|
myFF->doForces(calcPot,0); |
| 459 |
|
|
|
| 460 |
|
|
for( i=0; i< nAtoms; i++ ){ |
| 461 |
|
|
|
| 462 |
|
|
// complete the velocity half step |
| 463 |
|
|
|
| 464 |
|
|
vx = atoms[i]->get_vx() + |
| 465 |
|
|
( dt2 * atoms[i]->getFx() / atoms[i]->getMass() ) * e_convert; |
| 466 |
|
|
vy = atoms[i]->get_vy() + |
| 467 |
|
|
( dt2 * atoms[i]->getFy() / atoms[i]->getMass() ) * e_convert; |
| 468 |
|
|
vz = atoms[i]->get_vz() + |
| 469 |
|
|
( dt2 * atoms[i]->getFz() / atoms[i]->getMass() ) * e_convert; |
| 470 |
|
|
|
| 471 |
|
|
atoms[i]->set_vx( vx ); |
| 472 |
|
|
atoms[i]->set_vy( vy ); |
| 473 |
|
|
atoms[i]->set_vz( vz ); |
| 474 |
|
|
|
| 475 |
|
|
// vx2 = vx * vx; |
| 476 |
|
|
// vy2 = vy * vy; |
| 477 |
|
|
// vz2 = vz * vz; |
| 478 |
|
|
|
| 479 |
|
|
if( atoms[i]->isDirectional() ){ |
| 480 |
|
|
|
| 481 |
|
|
dAtom = (DirectionalAtom *)atoms[i]; |
| 482 |
|
|
|
| 483 |
|
|
// get and convert the torque to body frame |
| 484 |
|
|
|
| 485 |
|
|
Tb[0] = dAtom->getTx(); |
| 486 |
|
|
Tb[1] = dAtom->getTy(); |
| 487 |
|
|
Tb[2] = dAtom->getTz(); |
| 488 |
|
|
|
| 489 |
|
|
dAtom->lab2Body( Tb ); |
| 490 |
|
|
|
| 491 |
|
|
// get the angular momentum, and complete the angular momentum |
| 492 |
|
|
// half step |
| 493 |
|
|
|
| 494 |
|
|
ji[0] = dAtom->getJx() + ( dt2 * Tb[0] ) * e_convert; |
| 495 |
|
|
ji[1] = dAtom->getJy() + ( dt2 * Tb[1] ) * e_convert; |
| 496 |
|
|
ji[2] = dAtom->getJz() + ( dt2 * Tb[2] ) * e_convert; |
| 497 |
|
|
|
| 498 |
|
|
jx2 = ji[0] * ji[0]; |
| 499 |
|
|
jy2 = ji[1] * ji[1]; |
| 500 |
|
|
jz2 = ji[2] * ji[2]; |
| 501 |
|
|
|
| 502 |
|
|
rot_kE += (jx2 / dAtom->getIxx()) + (jy2 / dAtom->getIyy()) |
| 503 |
|
|
+ (jz2 / dAtom->getIzz()); |
| 504 |
|
|
|
| 505 |
|
|
dAtom->setJx( ji[0] ); |
| 506 |
|
|
dAtom->setJy( ji[1] ); |
| 507 |
|
|
dAtom->setJz( ji[2] ); |
| 508 |
|
|
} |
| 509 |
|
|
} |
| 510 |
|
|
|
| 511 |
|
|
time = tl + 1; |
| 512 |
|
|
|
| 513 |
|
|
if( entry_plug->setTemp ){ |
| 514 |
|
|
if( !(time % vel_n) ) tStats->velocitize(); |
| 515 |
|
|
} |
| 516 |
|
|
if( !(time % sample_n) ) dump_out->writeDump( time * dt ); |
| 517 |
|
|
if( !((time+1) % status_n) ) calcPot = 1; |
| 518 |
|
|
if( !(time % status_n) ){ e_out->writeStat( time * dt ); calcPot = 0; } |
| 519 |
|
|
} |
| 520 |
|
|
} |
| 521 |
|
|
|
| 522 |
|
|
dump_out->writeFinal(); |
| 523 |
|
|
|
| 524 |
|
|
delete dump_out; |
| 525 |
|
|
delete e_out; |
| 526 |
|
|
} |
| 527 |
|
|
|
| 528 |
|
|
void Symplectic::rotate( int axes1, int axes2, double angle, double ji[3], |
| 529 |
|
|
double A[3][3] ){ |
| 530 |
|
|
|
| 531 |
|
|
int i,j,k; |
| 532 |
|
|
double sinAngle; |
| 533 |
|
|
double cosAngle; |
| 534 |
|
|
double angleSqr; |
| 535 |
|
|
double angleSqrOver4; |
| 536 |
|
|
double top, bottom; |
| 537 |
|
|
double rot[3][3]; |
| 538 |
|
|
double tempA[3][3]; |
| 539 |
|
|
double tempJ[3]; |
| 540 |
|
|
|
| 541 |
|
|
// initialize the tempA |
| 542 |
|
|
|
| 543 |
|
|
for(i=0; i<3; i++){ |
| 544 |
|
|
for(j=0; j<3; j++){ |
| 545 |
|
|
tempA[i][j] = A[i][j]; |
| 546 |
|
|
} |
| 547 |
|
|
} |
| 548 |
|
|
|
| 549 |
|
|
// initialize the tempJ |
| 550 |
|
|
|
| 551 |
|
|
for( i=0; i<3; i++) tempJ[i] = ji[i]; |
| 552 |
|
|
|
| 553 |
|
|
// initalize rot as a unit matrix |
| 554 |
|
|
|
| 555 |
|
|
rot[0][0] = 1.0; |
| 556 |
|
|
rot[0][1] = 0.0; |
| 557 |
|
|
rot[0][2] = 0.0; |
| 558 |
|
|
|
| 559 |
|
|
rot[1][0] = 0.0; |
| 560 |
|
|
rot[1][1] = 1.0; |
| 561 |
|
|
rot[1][2] = 0.0; |
| 562 |
|
|
|
| 563 |
|
|
rot[2][0] = 0.0; |
| 564 |
|
|
rot[2][1] = 0.0; |
| 565 |
|
|
rot[2][2] = 1.0; |
| 566 |
|
|
|
| 567 |
|
|
// use a small angle aproximation for sin and cosine |
| 568 |
|
|
|
| 569 |
|
|
angleSqr = angle * angle; |
| 570 |
|
|
angleSqrOver4 = angleSqr / 4.0; |
| 571 |
|
|
top = 1.0 - angleSqrOver4; |
| 572 |
|
|
bottom = 1.0 + angleSqrOver4; |
| 573 |
|
|
|
| 574 |
|
|
cosAngle = top / bottom; |
| 575 |
|
|
sinAngle = angle / bottom; |
| 576 |
|
|
|
| 577 |
|
|
rot[axes1][axes1] = cosAngle; |
| 578 |
|
|
rot[axes2][axes2] = cosAngle; |
| 579 |
|
|
|
| 580 |
|
|
rot[axes1][axes2] = sinAngle; |
| 581 |
|
|
rot[axes2][axes1] = -sinAngle; |
| 582 |
|
|
|
| 583 |
|
|
// rotate the momentum acoording to: ji[] = rot[][] * ji[] |
| 584 |
|
|
|
| 585 |
|
|
for(i=0; i<3; i++){ |
| 586 |
|
|
ji[i] = 0.0; |
| 587 |
|
|
for(k=0; k<3; k++){ |
| 588 |
|
|
ji[i] += rot[i][k] * tempJ[k]; |
| 589 |
|
|
} |
| 590 |
|
|
} |
| 591 |
|
|
|
| 592 |
|
|
// rotate the Rotation matrix acording to: |
| 593 |
|
|
// A[][] = A[][] * transpose(rot[][]) |
| 594 |
|
|
|
| 595 |
|
|
|
| 596 |
|
|
// NOte for as yet unknown reason, we are setting the performing the |
| 597 |
|
|
// calculation as: |
| 598 |
|
|
// transpose(A[][]) = transpose(A[][]) * transpose(rot[][]) |
| 599 |
|
|
|
| 600 |
|
|
for(i=0; i<3; i++){ |
| 601 |
|
|
for(j=0; j<3; j++){ |
| 602 |
|
|
A[j][i] = 0.0; |
| 603 |
|
|
for(k=0; k<3; k++){ |
| 604 |
|
|
A[j][i] += tempA[k][i] * rot[j][k]; |
| 605 |
|
|
} |
| 606 |
|
|
} |
| 607 |
|
|
} |
| 608 |
|
|
} |
