| 1 |
#include <iostream> |
| 2 |
#include <cstdlib> |
| 3 |
|
| 4 |
#include "Integrator.hpp" |
| 5 |
#include "Thermo.hpp" |
| 6 |
#include "ReadWrite.hpp" |
| 7 |
|
| 8 |
|
| 9 |
extern "C"{ |
| 10 |
|
| 11 |
void v_constrain_a_( double &dt, int &n_atoms, double* mass, |
| 12 |
double* Rx, double* Ry, double* Rz, |
| 13 |
double* Vx, double* Vy, double* Vz, |
| 14 |
double* Fx, double* Fy, double* Fz, |
| 15 |
int &n_constrained, double *constr_sqr, |
| 16 |
int* constr_i, int* constr_j, |
| 17 |
double &box_x, double &box_y, double &box_z ); |
| 18 |
|
| 19 |
void v_constrain_b_( double &dt, int &n_atoms, double* mass, |
| 20 |
double* Rx, double* Ry, double* Rz, |
| 21 |
double* Vx, double* Vy, double* Vz, |
| 22 |
double* Fx, double* Fy, double* Fz, |
| 23 |
double &Kinetic, |
| 24 |
int &n_constrained, double *constr_sqr, |
| 25 |
int* constr_i, int* constr_j, |
| 26 |
double &box_x, double &box_y, double &box_z ); |
| 27 |
} |
| 28 |
|
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|
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|
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|
| 32 |
Symplectic::Symplectic( SimInfo* the_entry_plug ){ |
| 33 |
entry_plug = the_entry_plug; |
| 34 |
isFirst = 1; |
| 35 |
|
| 36 |
srInteractions = entry_plug->sr_interactions; |
| 37 |
longRange = entry_plug->longRange; |
| 38 |
nSRI = entry_plug->n_SRI; |
| 39 |
|
| 40 |
// give a little love back to the SimInfo object |
| 41 |
|
| 42 |
if( entry_plug->the_integrator != NULL ) delete entry_plug->the_integrator; |
| 43 |
entry_plug->the_integrator = this; |
| 44 |
|
| 45 |
// grab the masses |
| 46 |
|
| 47 |
mass = new double[entry_plug->n_atoms]; |
| 48 |
for(int i = 0; i < entry_plug->n_atoms; i++){ |
| 49 |
mass[i] = entry_plug->atoms[i]->getMass(); |
| 50 |
} |
| 51 |
|
| 52 |
|
| 53 |
// check for constraints |
| 54 |
|
| 55 |
is_constrained = 0; |
| 56 |
|
| 57 |
Constraint *temp_con; |
| 58 |
Constraint *dummy_plug; |
| 59 |
temp_con = new Constraint[nSRI]; |
| 60 |
n_constrained = 0; |
| 61 |
int constrained = 0; |
| 62 |
|
| 63 |
for(int i = 0; i < nSRI; i++){ |
| 64 |
|
| 65 |
constrained = srInteractions[i]->is_constrained(); |
| 66 |
|
| 67 |
if(constrained){ |
| 68 |
|
| 69 |
dummy_plug = srInteractions[i]->get_constraint(); |
| 70 |
temp_con[n_constrained].set_a( dummy_plug->get_a() ); |
| 71 |
temp_con[n_constrained].set_b( dummy_plug->get_b() ); |
| 72 |
temp_con[n_constrained].set_dsqr( dummy_plug->get_dsqr() ); |
| 73 |
|
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n_constrained++; |
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constrained = 0; |
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} |
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} |
| 78 |
|
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if(n_constrained > 0){ |
| 80 |
|
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is_constrained = 1; |
| 82 |
constrained_i = new int[n_constrained]; |
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constrained_j = new int[n_constrained]; |
| 84 |
constrained_dsqr = new double[n_constrained]; |
| 85 |
|
| 86 |
for( int i = 0; i < n_constrained; i++){ |
| 87 |
|
| 88 |
/* add 1 to the index for the fortran arrays. */ |
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|
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constrained_i[i] = temp_con[i].get_a() + 1; |
| 91 |
constrained_j[i] = temp_con[i].get_b() + 1; |
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constrained_dsqr[i] = temp_con[i].get_dsqr(); |
| 93 |
} |
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} |
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|
| 96 |
delete[] temp_con; |
| 97 |
} |
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|
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Symplectic::~Symplectic() { |
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|
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if( n_constrained ){ |
| 102 |
delete[] constrained_i; |
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delete[] constrained_j; |
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delete[] constrained_dsqr; |
| 105 |
} |
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|
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} |
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|
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|
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void Symplectic::integrate( void ){ |
| 111 |
|
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const double e_convert = 4.184e-4; // converts kcal/mol -> amu*A^2/fs^2 |
| 113 |
|
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int i, j; // loop counters |
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int nAtoms = entry_plug->n_atoms; // the number of atoms |
| 116 |
double kE = 0.0; // the kinetic energy |
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double rot_kE; |
| 118 |
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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|
| 122 |
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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|
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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 |
| 128 |
double Tb[3]; // torque in the body frame |
| 129 |
double angle; // the angle through which to rotate the rotation matrix |
| 130 |
double A[3][3]; // the rotation matrix |
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|
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int time; |
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|
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double dt = entry_plug->dt; |
| 135 |
double runTime = entry_plug->run_time; |
| 136 |
double sampleTime = entry_plug->sampleTime; |
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double statusTime = entry_plug->statusTime; |
| 138 |
double thermalTime = entry_plug->thermalTime; |
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|
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int n_loops = (int)( runTime / dt ); |
| 141 |
int sample_n = (int)( sampleTime / dt ); |
| 142 |
int status_n = (int)( statusTime / dt ); |
| 143 |
int vel_n = (int)( thermalTime / dt ); |
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|
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Thermo *tStats = new Thermo( entry_plug ); |
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|
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StatWriter* e_out = new StatWriter( entry_plug ); |
| 148 |
DumpWriter* dump_out = new DumpWriter( entry_plug ); |
| 149 |
|
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|
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Atom** atoms = entry_plug->atoms; |
| 152 |
DirectionalAtom* dAtom; |
| 153 |
dt2 = 0.5 * dt; |
| 154 |
|
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// initialize the forces the before the first step |
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|
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|
| 158 |
for(i = 0; i < nAtoms; i++){ |
| 159 |
atoms[i]->zeroForces(); |
| 160 |
} |
| 161 |
|
| 162 |
for(i = 0; i < nSRI; i++){ |
| 163 |
|
| 164 |
srInteractions[i]->calc_forces(); |
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} |
| 166 |
|
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longRange->calc_forces(); |
| 168 |
|
| 169 |
if( entry_plug->setTemp ){ |
| 170 |
|
| 171 |
tStats->velocitize(); |
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} |
| 173 |
|
| 174 |
dump_out->writeDump( 0.0 ); |
| 175 |
e_out->writeStat( 0.0 ); |
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|
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if( n_constrained ){ |
| 178 |
|
| 179 |
double *Rx = new double[nAtoms]; |
| 180 |
double *Ry = new double[nAtoms]; |
| 181 |
double *Rz = new double[nAtoms]; |
| 182 |
|
| 183 |
double *Vx = new double[nAtoms]; |
| 184 |
double *Vy = new double[nAtoms]; |
| 185 |
double *Vz = new double[nAtoms]; |
| 186 |
|
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double *Fx = new double[nAtoms]; |
| 188 |
double *Fy = new double[nAtoms]; |
| 189 |
double *Fz = new double[nAtoms]; |
| 190 |
|
| 191 |
|
| 192 |
for( tl=0; tl < n_loops; tl++ ){ |
| 193 |
|
| 194 |
for( j=0; j<nAtoms; j++ ){ |
| 195 |
|
| 196 |
Rx[j] = atoms[j]->getX(); |
| 197 |
Ry[j] = atoms[j]->getY(); |
| 198 |
Rz[j] = atoms[j]->getZ(); |
| 199 |
|
| 200 |
Vx[j] = atoms[j]->get_vx(); |
| 201 |
Vy[j] = atoms[j]->get_vy(); |
| 202 |
Vz[j] = atoms[j]->get_vz(); |
| 203 |
|
| 204 |
Fx[j] = atoms[j]->getFx(); |
| 205 |
Fy[j] = atoms[j]->getFy(); |
| 206 |
Fz[j] = atoms[j]->getFz(); |
| 207 |
|
| 208 |
} |
| 209 |
|
| 210 |
v_constrain_a_( dt, nAtoms, mass, Rx, Ry, Rz, Vx, Vy, Vz, |
| 211 |
Fx, Fy, Fz, |
| 212 |
n_constrained, constrained_dsqr, |
| 213 |
constrained_i, constrained_j, |
| 214 |
entry_plug->box_x, |
| 215 |
entry_plug->box_y, |
| 216 |
entry_plug->box_z ); |
| 217 |
|
| 218 |
for( j=0; j<nAtoms; j++ ){ |
| 219 |
|
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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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|
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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]); |
| 227 |
} |
| 228 |
|
| 229 |
|
| 230 |
for( i=0; i<nAtoms; i++ ){ |
| 231 |
if( atoms[i]->isDirectional() ){ |
| 232 |
|
| 233 |
dAtom = (DirectionalAtom *)atoms[i]; |
| 234 |
|
| 235 |
// get and convert the torque to body frame |
| 236 |
|
| 237 |
Tb[0] = dAtom->getTx(); |
| 238 |
Tb[1] = dAtom->getTy(); |
| 239 |
Tb[2] = dAtom->getTz(); |
| 240 |
|
| 241 |
dAtom->lab2Body( Tb ); |
| 242 |
|
| 243 |
// get the angular momentum, and propagate a half step |
| 244 |
|
| 245 |
ji[0] = dAtom->getJx() + ( dt2 * Tb[0] ) * e_convert; |
| 246 |
ji[1] = dAtom->getJy() + ( dt2 * Tb[1] ) * e_convert; |
| 247 |
ji[2] = dAtom->getJz() + ( dt2 * Tb[2] ) * e_convert; |
| 248 |
|
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// get the atom's rotation matrix |
| 250 |
|
| 251 |
A[0][0] = dAtom->getAxx(); |
| 252 |
A[0][1] = dAtom->getAxy(); |
| 253 |
A[0][2] = dAtom->getAxz(); |
| 254 |
|
| 255 |
A[1][0] = dAtom->getAyx(); |
| 256 |
A[1][1] = dAtom->getAyy(); |
| 257 |
A[1][2] = dAtom->getAyz(); |
| 258 |
|
| 259 |
A[2][0] = dAtom->getAzx(); |
| 260 |
A[2][1] = dAtom->getAzy(); |
| 261 |
A[2][2] = dAtom->getAzz(); |
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|
| 263 |
|
| 264 |
// use the angular velocities to propagate the rotation matrix a |
| 265 |
// full time step |
| 266 |
|
| 267 |
|
| 268 |
angle = dt2 * ji[0] / dAtom->getIxx(); |
| 269 |
this->rotate( 1, 2, angle, ji, A ); // rotate about the x-axis |
| 270 |
|
| 271 |
angle = dt2 * ji[1] / dAtom->getIyy(); |
| 272 |
this->rotate( 2, 0, angle, ji, A ); // rotate about the y-axis |
| 273 |
|
| 274 |
angle = dt * ji[2] / dAtom->getIzz(); |
| 275 |
this->rotate( 0, 1, angle, ji, A ); // rotate about the z-axis |
| 276 |
|
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angle = dt2 * ji[1] / dAtom->getIyy(); |
| 278 |
this->rotate( 2, 0, angle, ji, A ); // rotate about the y-axis |
| 279 |
|
| 280 |
angle = dt2 * ji[0] / dAtom->getIxx(); |
| 281 |
this->rotate( 1, 2, angle, ji, A ); // rotate about the x-axis |
| 282 |
|
| 283 |
|
| 284 |
dAtom->setA( A ); |
| 285 |
dAtom->setJx( ji[0] ); |
| 286 |
dAtom->setJy( ji[1] ); |
| 287 |
dAtom->setJz( ji[2] ); |
| 288 |
} |
| 289 |
} |
| 290 |
|
| 291 |
// calculate the forces |
| 292 |
|
| 293 |
for(j = 0; j < nAtoms; j++){ |
| 294 |
atoms[j]->zeroForces(); |
| 295 |
} |
| 296 |
|
| 297 |
for(j = 0; j < nSRI; j++){ |
| 298 |
srInteractions[j]->calc_forces(); |
| 299 |
} |
| 300 |
|
| 301 |
longRange->calc_forces(); |
| 302 |
|
| 303 |
// move b |
| 304 |
|
| 305 |
for( j=0; j<nAtoms; j++ ){ |
| 306 |
|
| 307 |
Rx[j] = atoms[j]->getX(); |
| 308 |
Ry[j] = atoms[j]->getY(); |
| 309 |
Rz[j] = atoms[j]->getZ(); |
| 310 |
|
| 311 |
Vx[j] = atoms[j]->get_vx(); |
| 312 |
Vy[j] = atoms[j]->get_vy(); |
| 313 |
Vz[j] = atoms[j]->get_vz(); |
| 314 |
|
| 315 |
Fx[j] = atoms[j]->getFx(); |
| 316 |
Fy[j] = atoms[j]->getFy(); |
| 317 |
Fz[j] = atoms[j]->getFz(); |
| 318 |
} |
| 319 |
|
| 320 |
v_constrain_b_( dt, nAtoms, mass, Rx, Ry, Rz, Vx, Vy, Vz, |
| 321 |
Fx, Fy, Fz, |
| 322 |
kE, n_constrained, constrained_dsqr, |
| 323 |
constrained_i, constrained_j, |
| 324 |
entry_plug->box_x, |
| 325 |
entry_plug->box_y, |
| 326 |
entry_plug->box_z ); |
| 327 |
|
| 328 |
for( j=0; j<nAtoms; j++ ){ |
| 329 |
|
| 330 |
atoms[j]->setX(Rx[j]); |
| 331 |
atoms[j]->setY(Ry[j]); |
| 332 |
atoms[j]->setZ(Rz[j]); |
| 333 |
|
| 334 |
atoms[j]->set_vx(Vx[j]); |
| 335 |
atoms[j]->set_vy(Vy[j]); |
| 336 |
atoms[j]->set_vz(Vz[j]); |
| 337 |
} |
| 338 |
|
| 339 |
for( i=0; i< nAtoms; i++ ){ |
| 340 |
|
| 341 |
if( atoms[i]->isDirectional() ){ |
| 342 |
|
| 343 |
dAtom = (DirectionalAtom *)atoms[i]; |
| 344 |
|
| 345 |
// get and convert the torque to body frame |
| 346 |
|
| 347 |
Tb[0] = dAtom->getTx(); |
| 348 |
Tb[1] = dAtom->getTy(); |
| 349 |
Tb[2] = dAtom->getTz(); |
| 350 |
|
| 351 |
dAtom->lab2Body( Tb ); |
| 352 |
|
| 353 |
// get the angular momentum, and complete the angular momentum |
| 354 |
// half step |
| 355 |
|
| 356 |
ji[0] = dAtom->getJx() + ( dt2 * Tb[0] ) * e_convert; |
| 357 |
ji[1] = dAtom->getJy() + ( dt2 * Tb[1] ) * e_convert; |
| 358 |
ji[2] = dAtom->getJz() + ( dt2 * Tb[2] ) * e_convert; |
| 359 |
|
| 360 |
dAtom->setJx( ji[0] ); |
| 361 |
dAtom->setJy( ji[1] ); |
| 362 |
dAtom->setJz( ji[2] ); |
| 363 |
} |
| 364 |
} |
| 365 |
|
| 366 |
time = tl + 1; |
| 367 |
|
| 368 |
if( entry_plug->setTemp ){ |
| 369 |
if( !(time % vel_n) ) tStats->velocitize(); |
| 370 |
} |
| 371 |
if( !(time % sample_n) ) dump_out->writeDump( time * dt ); |
| 372 |
if( !(time % status_n) ) e_out->writeStat( time * dt ); |
| 373 |
} |
| 374 |
} |
| 375 |
else{ |
| 376 |
|
| 377 |
for( tl=0; tl<n_loops; tl++ ){ |
| 378 |
|
| 379 |
kE = 0.0; |
| 380 |
rot_kE= 0.0; |
| 381 |
trans_kE = 0.0; |
| 382 |
|
| 383 |
for( i=0; i<nAtoms; i++ ){ |
| 384 |
|
| 385 |
// velocity half step |
| 386 |
|
| 387 |
vx = atoms[i]->get_vx() + |
| 388 |
( dt2 * atoms[i]->getFx() / atoms[i]->getMass() ) * e_convert; |
| 389 |
vy = atoms[i]->get_vy() + |
| 390 |
( dt2 * atoms[i]->getFy() / atoms[i]->getMass() ) * e_convert; |
| 391 |
vz = atoms[i]->get_vz() + |
| 392 |
( dt2 * atoms[i]->getFz() / atoms[i]->getMass() ) * e_convert; |
| 393 |
|
| 394 |
// position whole step |
| 395 |
|
| 396 |
rx = atoms[i]->getX() + dt * vx; |
| 397 |
ry = atoms[i]->getY() + dt * vy; |
| 398 |
rz = atoms[i]->getZ() + dt * vz; |
| 399 |
|
| 400 |
atoms[i]->setX( rx ); |
| 401 |
atoms[i]->setY( ry ); |
| 402 |
atoms[i]->setZ( rz ); |
| 403 |
|
| 404 |
atoms[i]->set_vx( vx ); |
| 405 |
atoms[i]->set_vy( vy ); |
| 406 |
atoms[i]->set_vz( vz ); |
| 407 |
|
| 408 |
if( atoms[i]->isDirectional() ){ |
| 409 |
|
| 410 |
dAtom = (DirectionalAtom *)atoms[i]; |
| 411 |
|
| 412 |
// get and convert the torque to body frame |
| 413 |
|
| 414 |
Tb[0] = dAtom->getTx(); |
| 415 |
Tb[1] = dAtom->getTy(); |
| 416 |
Tb[2] = dAtom->getTz(); |
| 417 |
|
| 418 |
dAtom->lab2Body( Tb ); |
| 419 |
|
| 420 |
// get the angular momentum, and propagate a half step |
| 421 |
|
| 422 |
ji[0] = dAtom->getJx() + ( dt2 * Tb[0] ) * e_convert; |
| 423 |
ji[1] = dAtom->getJy() + ( dt2 * Tb[1] ) * e_convert; |
| 424 |
ji[2] = dAtom->getJz() + ( dt2 * Tb[2] ) * e_convert; |
| 425 |
|
| 426 |
// get the atom's rotation matrix |
| 427 |
|
| 428 |
A[0][0] = dAtom->getAxx(); |
| 429 |
A[0][1] = dAtom->getAxy(); |
| 430 |
A[0][2] = dAtom->getAxz(); |
| 431 |
|
| 432 |
A[1][0] = dAtom->getAyx(); |
| 433 |
A[1][1] = dAtom->getAyy(); |
| 434 |
A[1][2] = dAtom->getAyz(); |
| 435 |
|
| 436 |
A[2][0] = dAtom->getAzx(); |
| 437 |
A[2][1] = dAtom->getAzy(); |
| 438 |
A[2][2] = dAtom->getAzz(); |
| 439 |
|
| 440 |
|
| 441 |
// use the angular velocities to propagate the rotation matrix a |
| 442 |
// full time step |
| 443 |
|
| 444 |
|
| 445 |
angle = dt2 * ji[0] / dAtom->getIxx(); |
| 446 |
this->rotate( 1, 2, angle, ji, A ); // rotate about the x-axis |
| 447 |
|
| 448 |
angle = dt2 * ji[1] / dAtom->getIyy(); |
| 449 |
this->rotate( 2, 0, angle, ji, A ); // rotate about the y-axis |
| 450 |
|
| 451 |
angle = dt * ji[2] / dAtom->getIzz(); |
| 452 |
this->rotate( 0, 1, angle, ji, A ); // rotate about the z-axis |
| 453 |
|
| 454 |
angle = dt2 * ji[1] / dAtom->getIyy(); |
| 455 |
this->rotate( 2, 0, angle, ji, A ); // rotate about the y-axis |
| 456 |
|
| 457 |
angle = dt2 * ji[0] / dAtom->getIxx(); |
| 458 |
this->rotate( 1, 2, angle, ji, A ); // rotate about the x-axis |
| 459 |
|
| 460 |
|
| 461 |
dAtom->setA( A ); |
| 462 |
dAtom->setJx( ji[0] ); |
| 463 |
dAtom->setJy( ji[1] ); |
| 464 |
dAtom->setJz( ji[2] ); |
| 465 |
} |
| 466 |
} |
| 467 |
|
| 468 |
// calculate the forces |
| 469 |
|
| 470 |
for(j = 0; j < nAtoms; j++){ |
| 471 |
atoms[j]->zeroForces(); |
| 472 |
} |
| 473 |
|
| 474 |
for(j = 0; j < nSRI; j++){ |
| 475 |
srInteractions[j]->calc_forces(); |
| 476 |
} |
| 477 |
|
| 478 |
longRange->calc_forces(); |
| 479 |
|
| 480 |
for( i=0; i< nAtoms; i++ ){ |
| 481 |
|
| 482 |
// complete the velocity half step |
| 483 |
|
| 484 |
vx = atoms[i]->get_vx() + |
| 485 |
( dt2 * atoms[i]->getFx() / atoms[i]->getMass() ) * e_convert; |
| 486 |
vy = atoms[i]->get_vy() + |
| 487 |
( dt2 * atoms[i]->getFy() / atoms[i]->getMass() ) * e_convert; |
| 488 |
vz = atoms[i]->get_vz() + |
| 489 |
( dt2 * atoms[i]->getFz() / atoms[i]->getMass() ) * e_convert; |
| 490 |
|
| 491 |
atoms[i]->set_vx( vx ); |
| 492 |
atoms[i]->set_vy( vy ); |
| 493 |
atoms[i]->set_vz( vz ); |
| 494 |
|
| 495 |
vx2 = vx * vx; |
| 496 |
vy2 = vy * vy; |
| 497 |
vz2 = vz * vz; |
| 498 |
|
| 499 |
if( atoms[i]->isDirectional() ){ |
| 500 |
|
| 501 |
dAtom = (DirectionalAtom *)atoms[i]; |
| 502 |
|
| 503 |
// get and convert the torque to body frame |
| 504 |
|
| 505 |
Tb[0] = dAtom->getTx(); |
| 506 |
Tb[1] = dAtom->getTy(); |
| 507 |
Tb[2] = dAtom->getTz(); |
| 508 |
|
| 509 |
dAtom->lab2Body( Tb ); |
| 510 |
|
| 511 |
// get the angular momentum, and complete the angular momentum |
| 512 |
// half step |
| 513 |
|
| 514 |
ji[0] = dAtom->getJx() + ( dt2 * Tb[0] ) * e_convert; |
| 515 |
ji[1] = dAtom->getJy() + ( dt2 * Tb[1] ) * e_convert; |
| 516 |
ji[2] = dAtom->getJz() + ( dt2 * Tb[2] ) * e_convert; |
| 517 |
|
| 518 |
jx2 = ji[0] * ji[0]; |
| 519 |
jy2 = ji[1] * ji[1]; |
| 520 |
jz2 = ji[2] * ji[2]; |
| 521 |
|
| 522 |
rot_kE += (jx2 / dAtom->getIxx()) + (jy2 / dAtom->getIyy()) |
| 523 |
+ (jz2 / dAtom->getIzz()); |
| 524 |
|
| 525 |
dAtom->setJx( ji[0] ); |
| 526 |
dAtom->setJy( ji[1] ); |
| 527 |
dAtom->setJz( ji[2] ); |
| 528 |
} |
| 529 |
} |
| 530 |
|
| 531 |
time = tl + 1; |
| 532 |
|
| 533 |
if( entry_plug->setTemp ){ |
| 534 |
if( !(time % vel_n) ) tStats->velocitize(); |
| 535 |
} |
| 536 |
if( !(time % sample_n) ) dump_out->writeDump( time * dt ); |
| 537 |
if( !(time % status_n) ) e_out->writeStat( time * dt ); |
| 538 |
} |
| 539 |
} |
| 540 |
|
| 541 |
dump_out->writeFinal(); |
| 542 |
|
| 543 |
delete dump_out; |
| 544 |
delete e_out; |
| 545 |
} |
| 546 |
|
| 547 |
void Symplectic::rotate( int axes1, int axes2, double angle, double ji[3], |
| 548 |
double A[3][3] ){ |
| 549 |
|
| 550 |
int i,j,k; |
| 551 |
double sinAngle; |
| 552 |
double cosAngle; |
| 553 |
double angleSqr; |
| 554 |
double angleSqrOver4; |
| 555 |
double top, bottom; |
| 556 |
double rot[3][3]; |
| 557 |
double tempA[3][3]; |
| 558 |
double tempJ[3]; |
| 559 |
|
| 560 |
// initialize the tempA |
| 561 |
|
| 562 |
for(i=0; i<3; i++){ |
| 563 |
for(j=0; j<3; j++){ |
| 564 |
tempA[i][j] = A[i][j]; |
| 565 |
} |
| 566 |
} |
| 567 |
|
| 568 |
// initialize the tempJ |
| 569 |
|
| 570 |
for( i=0; i<3; i++) tempJ[i] = ji[i]; |
| 571 |
|
| 572 |
// initalize rot as a unit matrix |
| 573 |
|
| 574 |
rot[0][0] = 1.0; |
| 575 |
rot[0][1] = 0.0; |
| 576 |
rot[0][2] = 0.0; |
| 577 |
|
| 578 |
rot[1][0] = 0.0; |
| 579 |
rot[1][1] = 1.0; |
| 580 |
rot[1][2] = 0.0; |
| 581 |
|
| 582 |
rot[2][0] = 0.0; |
| 583 |
rot[2][1] = 0.0; |
| 584 |
rot[2][2] = 1.0; |
| 585 |
|
| 586 |
// use a small angle aproximation for sin and cosine |
| 587 |
|
| 588 |
angleSqr = angle * angle; |
| 589 |
angleSqrOver4 = angleSqr / 4.0; |
| 590 |
top = 1.0 - angleSqrOver4; |
| 591 |
bottom = 1.0 + angleSqrOver4; |
| 592 |
|
| 593 |
cosAngle = top / bottom; |
| 594 |
sinAngle = angle / bottom; |
| 595 |
|
| 596 |
rot[axes1][axes1] = cosAngle; |
| 597 |
rot[axes2][axes2] = cosAngle; |
| 598 |
|
| 599 |
rot[axes1][axes2] = sinAngle; |
| 600 |
rot[axes2][axes1] = -sinAngle; |
| 601 |
|
| 602 |
// rotate the momentum acoording to: ji[] = rot[][] * ji[] |
| 603 |
|
| 604 |
for(i=0; i<3; i++){ |
| 605 |
ji[i] = 0.0; |
| 606 |
for(k=0; k<3; k++){ |
| 607 |
ji[i] += rot[i][k] * tempJ[k]; |
| 608 |
} |
| 609 |
} |
| 610 |
|
| 611 |
// rotate the Rotation matrix acording to: |
| 612 |
// A[][] = A[][] * transpose(rot[][]) |
| 613 |
|
| 614 |
|
| 615 |
// NOte for as yet unknown reason, we are setting the performing the |
| 616 |
// calculation as: |
| 617 |
// transpose(A[][]) = transpose(A[][]) * transpose(rot[][]) |
| 618 |
|
| 619 |
for(i=0; i<3; i++){ |
| 620 |
for(j=0; j<3; j++){ |
| 621 |
A[j][i] = 0.0; |
| 622 |
for(k=0; k<3; k++){ |
| 623 |
A[j][i] += tempA[k][i] * rot[j][k]; |
| 624 |
} |
| 625 |
} |
| 626 |
} |
| 627 |
} |
