| 1 |
#include <math.h> |
| 2 |
#include "OOPSEMinimizer.hpp" |
| 3 |
#include "ShakeMin.hpp" |
| 4 |
|
| 5 |
OOPSEMinimizer::OOPSEMinimizer( SimInfo *theInfo, ForceFields* the_ff , |
| 6 |
MinimizerParameterSet * param) |
| 7 |
:RealIntegrator(theInfo, the_ff), bVerbose(false), bShake(true){ |
| 8 |
dumpOut = NULL; |
| 9 |
statOut = NULL; |
| 10 |
|
| 11 |
tStats = new Thermo(info); |
| 12 |
|
| 13 |
|
| 14 |
paramSet = param; |
| 15 |
|
| 16 |
calcDim(); |
| 17 |
|
| 18 |
curX = getCoor(); |
| 19 |
curG.resize(ndim); |
| 20 |
|
| 21 |
//preMove(); |
| 22 |
} |
| 23 |
|
| 24 |
OOPSEMinimizer::~OOPSEMinimizer(){ |
| 25 |
delete tStats; |
| 26 |
if(dumpOut) |
| 27 |
delete dumpOut; |
| 28 |
if(statOut) |
| 29 |
delete statOut; |
| 30 |
delete paramSet; |
| 31 |
} |
| 32 |
|
| 33 |
void OOPSEMinimizer::calcEnergyGradient(vector<double>& x, vector<double>& grad, |
| 34 |
double& energy, int& status){ |
| 35 |
|
| 36 |
DirectionalAtom* dAtom; |
| 37 |
int index; |
| 38 |
double force[3]; |
| 39 |
double dAtomGrad[6]; |
| 40 |
int shakeStatus; |
| 41 |
|
| 42 |
setCoor(x); |
| 43 |
|
| 44 |
//if (nConstrained && bShake){ |
| 45 |
// shakeStatus = shakeR(); |
| 46 |
//} |
| 47 |
|
| 48 |
shakeAlgo->doShakeR(); |
| 49 |
|
| 50 |
calcForce(1, 1); |
| 51 |
|
| 52 |
//if (nConstrained && bShake){ |
| 53 |
// shakeStatus |= shakeF(); |
| 54 |
//} |
| 55 |
|
| 56 |
shakeAlgo->doShakeF(); |
| 57 |
|
| 58 |
x = getCoor(); |
| 59 |
|
| 60 |
|
| 61 |
index = 0; |
| 62 |
|
| 63 |
for(int i = 0; i < integrableObjects.size(); i++){ |
| 64 |
|
| 65 |
if (integrableObjects[i]->isDirectional()) { |
| 66 |
|
| 67 |
integrableObjects[i]->getGrad(dAtomGrad); |
| 68 |
|
| 69 |
//gradient is equal to -f |
| 70 |
grad[index++] = -dAtomGrad[0]; |
| 71 |
grad[index++] = -dAtomGrad[1]; |
| 72 |
grad[index++] = -dAtomGrad[2]; |
| 73 |
grad[index++] = -dAtomGrad[3]; |
| 74 |
grad[index++] = -dAtomGrad[4]; |
| 75 |
grad[index++] = -dAtomGrad[5]; |
| 76 |
|
| 77 |
} |
| 78 |
else{ |
| 79 |
integrableObjects[i]->getFrc(force); |
| 80 |
|
| 81 |
grad[index++] = -force[0]; |
| 82 |
grad[index++] = -force[1]; |
| 83 |
grad[index++] = -force[2]; |
| 84 |
|
| 85 |
} |
| 86 |
|
| 87 |
} |
| 88 |
|
| 89 |
energy = tStats->getPotential(); |
| 90 |
|
| 91 |
status = shakeStatus; |
| 92 |
} |
| 93 |
|
| 94 |
/** |
| 95 |
* |
| 96 |
*/ |
| 97 |
|
| 98 |
void OOPSEMinimizer::setCoor(vector<double>& x){ |
| 99 |
|
| 100 |
DirectionalAtom* dAtom; |
| 101 |
int index; |
| 102 |
double position[3]; |
| 103 |
double eulerAngle[3]; |
| 104 |
|
| 105 |
|
| 106 |
index = 0; |
| 107 |
|
| 108 |
for(int i = 0; i < integrableObjects.size(); i++){ |
| 109 |
|
| 110 |
position[0] = x[index++]; |
| 111 |
position[1] = x[index++]; |
| 112 |
position[2] = x[index++]; |
| 113 |
|
| 114 |
integrableObjects[i]->setPos(position); |
| 115 |
|
| 116 |
if (integrableObjects[i]->isDirectional()){ |
| 117 |
|
| 118 |
eulerAngle[0] = x[index++]; |
| 119 |
eulerAngle[1] = x[index++]; |
| 120 |
eulerAngle[2] = x[index++]; |
| 121 |
|
| 122 |
integrableObjects[i]->setEuler(eulerAngle[0], |
| 123 |
eulerAngle[1], |
| 124 |
eulerAngle[2]); |
| 125 |
|
| 126 |
} |
| 127 |
|
| 128 |
} |
| 129 |
|
| 130 |
} |
| 131 |
|
| 132 |
/** |
| 133 |
* |
| 134 |
*/ |
| 135 |
vector<double> OOPSEMinimizer::getCoor(){ |
| 136 |
|
| 137 |
DirectionalAtom* dAtom; |
| 138 |
int index; |
| 139 |
double position[3]; |
| 140 |
double eulerAngle[3]; |
| 141 |
vector<double> x; |
| 142 |
|
| 143 |
x.resize(getDim()); |
| 144 |
|
| 145 |
index = 0; |
| 146 |
|
| 147 |
for(int i = 0; i < integrableObjects.size(); i++){ |
| 148 |
integrableObjects[i]->getPos(position); |
| 149 |
|
| 150 |
x[index++] = position[0]; |
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x[index++] = position[1]; |
| 152 |
x[index++] = position[2]; |
| 153 |
|
| 154 |
if (integrableObjects[i]->isDirectional()){ |
| 155 |
|
| 156 |
integrableObjects[i]->getEulerAngles(eulerAngle); |
| 157 |
|
| 158 |
x[index++] = eulerAngle[0]; |
| 159 |
x[index++] = eulerAngle[1]; |
| 160 |
x[index++] = eulerAngle[2]; |
| 161 |
|
| 162 |
} |
| 163 |
|
| 164 |
} |
| 165 |
|
| 166 |
return x; |
| 167 |
|
| 168 |
} |
| 169 |
|
| 170 |
/* |
| 171 |
int OOPSEMinimizer::shakeR(){ |
| 172 |
int i, j; |
| 173 |
int done; |
| 174 |
double posA[3], posB[3]; |
| 175 |
double velA[3], velB[3]; |
| 176 |
double pab[3]; |
| 177 |
double rab[3]; |
| 178 |
int a, b, ax, ay, az, bx, by, bz; |
| 179 |
double rma, rmb; |
| 180 |
double dx, dy, dz; |
| 181 |
double rpab; |
| 182 |
double rabsq, pabsq, rpabsq; |
| 183 |
double diffsq; |
| 184 |
double gab; |
| 185 |
int iteration; |
| 186 |
|
| 187 |
for (i = 0; i < nAtoms; i++){ |
| 188 |
moving[i] = 0; |
| 189 |
moved[i] = 1; |
| 190 |
} |
| 191 |
|
| 192 |
iteration = 0; |
| 193 |
done = 0; |
| 194 |
while (!done && (iteration < maxIteration)){ |
| 195 |
done = 1; |
| 196 |
for (i = 0; i < nConstrained; i++){ |
| 197 |
a = constrainedA[i]; |
| 198 |
b = constrainedB[i]; |
| 199 |
|
| 200 |
ax = (a * 3) + 0; |
| 201 |
ay = (a * 3) + 1; |
| 202 |
az = (a * 3) + 2; |
| 203 |
|
| 204 |
bx = (b * 3) + 0; |
| 205 |
by = (b * 3) + 1; |
| 206 |
bz = (b * 3) + 2; |
| 207 |
|
| 208 |
if (moved[a] || moved[b]){ |
| 209 |
atoms[a]->getPos(posA); |
| 210 |
atoms[b]->getPos(posB); |
| 211 |
|
| 212 |
for (j = 0; j < 3; j++) |
| 213 |
pab[j] = posA[j] - posB[j]; |
| 214 |
|
| 215 |
//periodic boundary condition |
| 216 |
|
| 217 |
info->wrapVector(pab); |
| 218 |
|
| 219 |
pabsq = pab[0] * pab[0] + pab[1] * pab[1] + pab[2] * pab[2]; |
| 220 |
|
| 221 |
rabsq = constrainedDsqr[i]; |
| 222 |
diffsq = rabsq - pabsq; |
| 223 |
|
| 224 |
// the original rattle code from alan tidesley |
| 225 |
if (fabs(diffsq) > (tol * rabsq * 2)){ |
| 226 |
rab[0] = oldPos[ax] - oldPos[bx]; |
| 227 |
rab[1] = oldPos[ay] - oldPos[by]; |
| 228 |
rab[2] = oldPos[az] - oldPos[bz]; |
| 229 |
|
| 230 |
info->wrapVector(rab); |
| 231 |
|
| 232 |
rpab = rab[0] * pab[0] + rab[1] * pab[1] + rab[2] * pab[2]; |
| 233 |
|
| 234 |
rpabsq = rpab * rpab; |
| 235 |
|
| 236 |
|
| 237 |
if (rpabsq < (rabsq * -diffsq)){ |
| 238 |
#ifdef IS_MPI |
| 239 |
a = atoms[a]->getGlobalIndex(); |
| 240 |
b = atoms[b]->getGlobalIndex(); |
| 241 |
#endif //is_mpi |
| 242 |
//cerr << "Waring: constraint failure" << endl; |
| 243 |
gab = sqrt(rabsq/pabsq); |
| 244 |
rab[0] = (posA[0] - posB[0])*gab; |
| 245 |
rab[1]= (posA[1] - posB[1])*gab; |
| 246 |
rab[2] = (posA[2] - posB[2])*gab; |
| 247 |
|
| 248 |
info->wrapVector(rab); |
| 249 |
|
| 250 |
rpab = rab[0] * pab[0] + rab[1] * pab[1] + rab[2] * pab[2]; |
| 251 |
|
| 252 |
} |
| 253 |
|
| 254 |
//rma = 1.0 / atoms[a]->getMass(); |
| 255 |
//rmb = 1.0 / atoms[b]->getMass(); |
| 256 |
rma = 1.0; |
| 257 |
rmb =1.0; |
| 258 |
|
| 259 |
gab = diffsq / (2.0 * (rma + rmb) * rpab); |
| 260 |
|
| 261 |
dx = rab[0] * gab; |
| 262 |
dy = rab[1] * gab; |
| 263 |
dz = rab[2] * gab; |
| 264 |
|
| 265 |
posA[0] += rma * dx; |
| 266 |
posA[1] += rma * dy; |
| 267 |
posA[2] += rma * dz; |
| 268 |
|
| 269 |
atoms[a]->setPos(posA); |
| 270 |
|
| 271 |
posB[0] -= rmb * dx; |
| 272 |
posB[1] -= rmb * dy; |
| 273 |
posB[2] -= rmb * dz; |
| 274 |
|
| 275 |
atoms[b]->setPos(posB); |
| 276 |
|
| 277 |
moving[a] = 1; |
| 278 |
moving[b] = 1; |
| 279 |
done = 0; |
| 280 |
} |
| 281 |
} |
| 282 |
} |
| 283 |
|
| 284 |
for (i = 0; i < nAtoms; i++){ |
| 285 |
moved[i] = moving[i]; |
| 286 |
moving[i] = 0; |
| 287 |
} |
| 288 |
|
| 289 |
iteration++; |
| 290 |
} |
| 291 |
|
| 292 |
if (!done){ |
| 293 |
cerr << "Waring: can not constraint within maxIteration" << endl; |
| 294 |
return -1; |
| 295 |
} |
| 296 |
else |
| 297 |
return 1; |
| 298 |
} |
| 299 |
|
| 300 |
|
| 301 |
//remove constraint force along the bond direction |
| 302 |
int OOPSEMinimizer::shakeF(){ |
| 303 |
int i, j; |
| 304 |
int done; |
| 305 |
double posA[3], posB[3]; |
| 306 |
double frcA[3], frcB[3]; |
| 307 |
double rab[3], fpab[3]; |
| 308 |
int a, b, ax, ay, az, bx, by, bz; |
| 309 |
double rma, rmb; |
| 310 |
double rvab; |
| 311 |
double gab; |
| 312 |
double rabsq; |
| 313 |
double rfab; |
| 314 |
int iteration; |
| 315 |
|
| 316 |
for (i = 0; i < nAtoms; i++){ |
| 317 |
moving[i] = 0; |
| 318 |
moved[i] = 1; |
| 319 |
} |
| 320 |
|
| 321 |
done = 0; |
| 322 |
iteration = 0; |
| 323 |
while (!done && (iteration < maxIteration)){ |
| 324 |
done = 1; |
| 325 |
|
| 326 |
for (i = 0; i < nConstrained; i++){ |
| 327 |
a = constrainedA[i]; |
| 328 |
b = constrainedB[i]; |
| 329 |
|
| 330 |
ax = (a * 3) + 0; |
| 331 |
ay = (a * 3) + 1; |
| 332 |
az = (a * 3) + 2; |
| 333 |
|
| 334 |
bx = (b * 3) + 0; |
| 335 |
by = (b * 3) + 1; |
| 336 |
bz = (b * 3) + 2; |
| 337 |
|
| 338 |
if (moved[a] || moved[b]){ |
| 339 |
|
| 340 |
atoms[a]->getPos(posA); |
| 341 |
atoms[b]->getPos(posB); |
| 342 |
|
| 343 |
for (j = 0; j < 3; j++) |
| 344 |
rab[j] = posA[j] - posB[j]; |
| 345 |
|
| 346 |
info->wrapVector(rab); |
| 347 |
|
| 348 |
atoms[a]->getFrc(frcA); |
| 349 |
atoms[b]->getFrc(frcB); |
| 350 |
|
| 351 |
//rma = 1.0 / atoms[a]->getMass(); |
| 352 |
//rmb = 1.0 / atoms[b]->getMass(); |
| 353 |
rma = 1.0; |
| 354 |
rmb = 1.0; |
| 355 |
|
| 356 |
|
| 357 |
fpab[0] = frcA[0] * rma - frcB[0] * rmb; |
| 358 |
fpab[1] = frcA[1] * rma - frcB[1] * rmb; |
| 359 |
fpab[2] = frcA[2] * rma - frcB[2] * rmb; |
| 360 |
|
| 361 |
|
| 362 |
gab=fpab[0] * fpab[0] + fpab[1] * fpab[1] + fpab[2] * fpab[2]; |
| 363 |
|
| 364 |
if (gab < 1.0) |
| 365 |
gab = 1.0; |
| 366 |
|
| 367 |
rabsq = rab[0] * rab[0] + rab[1] * rab[1] + rab[2] * rab[2]; |
| 368 |
rfab = rab[0] * fpab[0] + rab[1] * fpab[1] + rab[2] * fpab[2]; |
| 369 |
|
| 370 |
if (fabs(rfab) > sqrt(rabsq*gab) * 0.00001){ |
| 371 |
|
| 372 |
gab = -rfab /(rabsq*(rma + rmb)); |
| 373 |
|
| 374 |
frcA[0] = rab[0] * gab; |
| 375 |
frcA[1] = rab[1] * gab; |
| 376 |
frcA[2] = rab[2] * gab; |
| 377 |
|
| 378 |
atoms[a]->addFrc(frcA); |
| 379 |
|
| 380 |
|
| 381 |
frcB[0] = -rab[0] * gab; |
| 382 |
frcB[1] = -rab[1] * gab; |
| 383 |
frcB[2] = -rab[2] * gab; |
| 384 |
|
| 385 |
atoms[b]->addFrc(frcB); |
| 386 |
|
| 387 |
moving[a] = 1; |
| 388 |
moving[b] = 1; |
| 389 |
done = 0; |
| 390 |
} |
| 391 |
} |
| 392 |
} |
| 393 |
|
| 394 |
for (i = 0; i < nAtoms; i++){ |
| 395 |
moved[i] = moving[i]; |
| 396 |
moving[i] = 0; |
| 397 |
} |
| 398 |
|
| 399 |
iteration++; |
| 400 |
} |
| 401 |
|
| 402 |
if (!done){ |
| 403 |
cerr << "Waring: can not constraint within maxIteration" << endl; |
| 404 |
return -1; |
| 405 |
} |
| 406 |
else |
| 407 |
return 1; |
| 408 |
} |
| 409 |
|
| 410 |
*/ |
| 411 |
|
| 412 |
//calculate the value of object function |
| 413 |
void OOPSEMinimizer::calcF(){ |
| 414 |
calcEnergyGradient(curX, curG, curF, egEvalStatus); |
| 415 |
} |
| 416 |
|
| 417 |
void OOPSEMinimizer::calcF(vector<double>& x, double&f, int& status){ |
| 418 |
vector<double> tempG; |
| 419 |
tempG.resize(x.size()); |
| 420 |
|
| 421 |
calcEnergyGradient(x, tempG, f, status); |
| 422 |
} |
| 423 |
|
| 424 |
//calculate the gradient |
| 425 |
void OOPSEMinimizer::calcG(){ |
| 426 |
calcEnergyGradient(curX, curG, curF, egEvalStatus); |
| 427 |
} |
| 428 |
|
| 429 |
void OOPSEMinimizer::calcG(vector<double>& x, vector<double>& g, double& f, int& status){ |
| 430 |
calcEnergyGradient(x, g, f, status); |
| 431 |
} |
| 432 |
|
| 433 |
void OOPSEMinimizer::calcDim(){ |
| 434 |
DirectionalAtom* dAtom; |
| 435 |
|
| 436 |
ndim = 0; |
| 437 |
|
| 438 |
for(int i = 0; i < integrableObjects.size(); i++){ |
| 439 |
ndim += 3; |
| 440 |
if (integrableObjects[i]->isDirectional()) |
| 441 |
ndim += 3; |
| 442 |
} |
| 443 |
} |
| 444 |
|
| 445 |
void OOPSEMinimizer::setX(vector < double > & x){ |
| 446 |
|
| 447 |
if (x.size() != ndim && bVerbose){ |
| 448 |
//sprintf(painCave.errMsg, |
| 449 |
// "OOPSEMinimizer Error: dimesion of x and curX does not match\n"); |
| 450 |
// painCave.isFatal = 1; |
| 451 |
// simError(); |
| 452 |
} |
| 453 |
|
| 454 |
curX = x; |
| 455 |
} |
| 456 |
|
| 457 |
void OOPSEMinimizer::setG(vector < double > & g){ |
| 458 |
|
| 459 |
if (g.size() != ndim && bVerbose){ |
| 460 |
//sprintf(painCave.errMsg, |
| 461 |
// "OOPSEMinimizer Error: dimesion of g and curG does not match\n"); |
| 462 |
// painCave.isFatal = 1; |
| 463 |
//simError(); |
| 464 |
} |
| 465 |
|
| 466 |
curG = g; |
| 467 |
} |
| 468 |
|
| 469 |
void OOPSEMinimizer::writeOut(vector<double>& x, double iter){ |
| 470 |
|
| 471 |
setX(x); |
| 472 |
|
| 473 |
calcG(); |
| 474 |
|
| 475 |
dumpOut->writeDump(iter); |
| 476 |
statOut->writeStat(iter); |
| 477 |
} |
| 478 |
|
| 479 |
|
| 480 |
void OOPSEMinimizer::printMinimizerInfo(){ |
| 481 |
cout << "--------------------------------------------------------------------" << endl; |
| 482 |
cout << minimizerName << endl; |
| 483 |
cout << "minimization parameter set" << endl; |
| 484 |
cout << "function tolerance = " << paramSet->getFTol() << endl; |
| 485 |
cout << "gradient tolerance = " << paramSet->getGTol() << endl; |
| 486 |
cout << "step tolerance = "<< paramSet->getFTol() << endl; |
| 487 |
cout << "absolute gradient tolerance = " << endl; |
| 488 |
cout << "max iteration = " << paramSet->getMaxIteration() << endl; |
| 489 |
cout << "max line search iteration = " << paramSet->getLineSearchMaxIteration() <<endl; |
| 490 |
cout << "shake algorithm = " << bShake << endl; |
| 491 |
cout << "--------------------------------------------------------------------" << endl; |
| 492 |
|
| 493 |
} |
| 494 |
|
| 495 |
/** |
| 496 |
* In thoery, we need to find the minimum along the search direction |
| 497 |
* However, function evaluation is too expensive. |
| 498 |
* At the very begining of the problem, we check the search direction and make sure |
| 499 |
* it is a descent direction |
| 500 |
* we will compare the energy of two end points, |
| 501 |
* if the right end point has lower energy, we just take it |
| 502 |
* |
| 503 |
* |
| 504 |
* |
| 505 |
*/ |
| 506 |
|
| 507 |
int OOPSEMinimizer::doLineSearch(vector<double>& direction, double stepSize){ |
| 508 |
vector<double> xa; |
| 509 |
vector<double> xb; |
| 510 |
vector<double> xc; |
| 511 |
vector<double> ga; |
| 512 |
vector<double> gb; |
| 513 |
vector<double> gc; |
| 514 |
double fa; |
| 515 |
double fb; |
| 516 |
double fc; |
| 517 |
double a; |
| 518 |
double b; |
| 519 |
double c; |
| 520 |
int status; |
| 521 |
double initSlope; |
| 522 |
double slopeA; |
| 523 |
double slopeB; |
| 524 |
double slopeC; |
| 525 |
bool foundLower; |
| 526 |
int iter; |
| 527 |
int maxLSIter; |
| 528 |
double mu; |
| 529 |
double eta; |
| 530 |
double ftol; |
| 531 |
double lsTol; |
| 532 |
|
| 533 |
xa.resize(ndim); |
| 534 |
xb.resize(ndim); |
| 535 |
xc.resize(ndim); |
| 536 |
|
| 537 |
ga.resize(ndim); |
| 538 |
gb.resize(ndim); |
| 539 |
gc.resize(ndim); |
| 540 |
|
| 541 |
a = 0.0; |
| 542 |
fa = curF; |
| 543 |
xa = curX; |
| 544 |
ga = curG; |
| 545 |
c = a + stepSize; |
| 546 |
ftol = paramSet->getFTol(); |
| 547 |
lsTol = paramSet->getLineSearchTol(); |
| 548 |
|
| 549 |
//calculate the derivative at a = 0 |
| 550 |
for (size_t i = 0; i < ndim; i++) |
| 551 |
slopeA += curG[i]*direction[i]; |
| 552 |
|
| 553 |
initSlope = slopeA; |
| 554 |
|
| 555 |
// if going uphill, use negative gradient as searching direction |
| 556 |
if (slopeA > 0) { |
| 557 |
|
| 558 |
if (bVerbose){ |
| 559 |
cout << "LineSearch Warning: initial searching direction is not a descent searching direction, " |
| 560 |
<< " use negative gradient instead. Therefore, finding a smaller vaule of function " |
| 561 |
<< " is guaranteed" |
| 562 |
<< endl; |
| 563 |
} |
| 564 |
|
| 565 |
for (size_t i = 0; i < ndim; i++) |
| 566 |
direction[i] = -curG[i]; |
| 567 |
|
| 568 |
for (size_t i = 0; i < ndim; i++) |
| 569 |
slopeA += curG[i]*direction[i]; |
| 570 |
|
| 571 |
initSlope = slopeA; |
| 572 |
} |
| 573 |
|
| 574 |
// Take a trial step |
| 575 |
for(size_t i = 0; i < ndim; i++) |
| 576 |
xc[i] = curX[i] + direction[i] * c; |
| 577 |
|
| 578 |
calcG(xc, gc, fc, status); |
| 579 |
|
| 580 |
if (status < 0){ |
| 581 |
if (bVerbose) |
| 582 |
cerr << "Function Evaluation Error" << endl; |
| 583 |
} |
| 584 |
|
| 585 |
//calculate the derivative at c |
| 586 |
slopeC = 0; |
| 587 |
for (size_t i = 0; i < ndim; i++) |
| 588 |
slopeC += gc[i]*direction[i]; |
| 589 |
|
| 590 |
// found a lower point |
| 591 |
if (fc < fa) { |
| 592 |
curX = xc; |
| 593 |
curG = gc; |
| 594 |
curF = fc; |
| 595 |
return LS_SUCCEED; |
| 596 |
} |
| 597 |
else { |
| 598 |
|
| 599 |
if (slopeC > 0) |
| 600 |
stepSize *= 0.618034; |
| 601 |
} |
| 602 |
|
| 603 |
maxLSIter = paramSet->getLineSearchMaxIteration(); |
| 604 |
|
| 605 |
iter = 0; |
| 606 |
|
| 607 |
do { |
| 608 |
// Select a new trial point. |
| 609 |
// If the derivatives at points a & c have different sign we use cubic interpolate |
| 610 |
//if (slopeC > 0){ |
| 611 |
eta = 3 *(fa -fc) /(c - a) + slopeA + slopeC; |
| 612 |
mu = sqrt(eta * eta - slopeA * slopeC); |
| 613 |
b = a + (c - a) * (1 - (slopeC + mu - eta) /(slopeC - slopeA + 2 * mu)); |
| 614 |
|
| 615 |
if (b < lsTol){ |
| 616 |
if (bVerbose) |
| 617 |
cout << "stepSize is less than line search tolerance" << endl; |
| 618 |
break; |
| 619 |
} |
| 620 |
//} |
| 621 |
|
| 622 |
// Take a trial step to this new point - new coords in xb |
| 623 |
for(size_t i = 0; i < ndim; i++) |
| 624 |
xb[i] = curX[i] + direction[i] * b; |
| 625 |
|
| 626 |
//function evaluation |
| 627 |
calcG(xb, gb, fb, status); |
| 628 |
|
| 629 |
if (status < 0){ |
| 630 |
if (bVerbose) |
| 631 |
cerr << "Function Evaluation Error" << endl; |
| 632 |
} |
| 633 |
|
| 634 |
//calculate the derivative at c |
| 635 |
slopeB = 0; |
| 636 |
for (size_t i = 0; i < ndim; i++) |
| 637 |
slopeB += gb[i]*direction[i]; |
| 638 |
|
| 639 |
//Amijo Rule to stop the line search |
| 640 |
if (fb <= curF + initSlope * ftol * b) { |
| 641 |
curF = fb; |
| 642 |
curX = xb; |
| 643 |
curG = gb; |
| 644 |
return LS_SUCCEED; |
| 645 |
} |
| 646 |
|
| 647 |
if (slopeB <0 && fb < fa) { |
| 648 |
//replace a by b |
| 649 |
fa = fb; |
| 650 |
a = b; |
| 651 |
slopeA = slopeB; |
| 652 |
|
| 653 |
// swap coord a/b |
| 654 |
std::swap(xa, xb); |
| 655 |
std::swap(ga, gb); |
| 656 |
} |
| 657 |
else { |
| 658 |
//replace c by b |
| 659 |
fc = fb; |
| 660 |
c = b; |
| 661 |
slopeC = slopeB; |
| 662 |
|
| 663 |
// swap coord b/c |
| 664 |
std::swap(gb, gc); |
| 665 |
std::swap(xb, xc); |
| 666 |
} |
| 667 |
|
| 668 |
|
| 669 |
iter++; |
| 670 |
} while((fb > fa || fb > fc) && (iter < maxLSIter)); |
| 671 |
|
| 672 |
if(fb < curF || iter >= maxLSIter) { |
| 673 |
//could not find a lower value, we might just go uphill. |
| 674 |
return LS_ERROR; |
| 675 |
} |
| 676 |
|
| 677 |
//select the end point |
| 678 |
|
| 679 |
if (fa <= fc) { |
| 680 |
curX = xa; |
| 681 |
curG = ga; |
| 682 |
curF = fa; |
| 683 |
} |
| 684 |
else { |
| 685 |
curX = xc; |
| 686 |
curG = gc; |
| 687 |
curF = fc; |
| 688 |
} |
| 689 |
|
| 690 |
return LS_SUCCEED; |
| 691 |
|
| 692 |
} |
| 693 |
|
| 694 |
void OOPSEMinimizer::minimize(){ |
| 695 |
|
| 696 |
int convgStatus; |
| 697 |
int stepStatus; |
| 698 |
int maxIter; |
| 699 |
//int resetFrq; |
| 700 |
//int nextResetIter; |
| 701 |
int writeFrq; |
| 702 |
int nextWriteIter; |
| 703 |
|
| 704 |
if (bVerbose) |
| 705 |
printMinimizerInfo(); |
| 706 |
|
| 707 |
dumpOut = new DumpWriter(info); |
| 708 |
statOut = new StatWriter(info); |
| 709 |
|
| 710 |
init(); |
| 711 |
|
| 712 |
//resetFrq = paramSet->getResetFrq(); |
| 713 |
//nextResetIter = resetFrq; |
| 714 |
|
| 715 |
writeFrq = paramSet->getWriteFrq(); |
| 716 |
nextWriteIter = writeFrq; |
| 717 |
|
| 718 |
maxIter = paramSet->getMaxIteration(); |
| 719 |
|
| 720 |
for (curIter = 1; curIter <= maxIter; curIter++){ |
| 721 |
|
| 722 |
stepStatus = step(); |
| 723 |
|
| 724 |
if (stepStatus < 0){ |
| 725 |
saveResult(); |
| 726 |
minStatus = MIN_LSERROR; |
| 727 |
cerr << "OOPSEMinimizer Error: line search error, please try a small stepsize" << endl; |
| 728 |
return; |
| 729 |
} |
| 730 |
|
| 731 |
if (curIter == nextWriteIter){ |
| 732 |
nextWriteIter += writeFrq; |
| 733 |
writeOut(curX, curIter); |
| 734 |
} |
| 735 |
|
| 736 |
//if (curIter == nextResetIter){ |
| 737 |
// reset(); |
| 738 |
// nextResetIter += resetFrq; |
| 739 |
//} |
| 740 |
|
| 741 |
convgStatus = checkConvg(); |
| 742 |
|
| 743 |
if (convgStatus > 0){ |
| 744 |
saveResult(); |
| 745 |
minStatus = MIN_CONVERGE; |
| 746 |
return; |
| 747 |
} |
| 748 |
|
| 749 |
prepareStep(); |
| 750 |
|
| 751 |
} |
| 752 |
|
| 753 |
|
| 754 |
if (bVerbose) { |
| 755 |
cout << "OOPSEMinimizer Warning: " |
| 756 |
<< minimizerName << " algorithm did not converge within " |
| 757 |
<< maxIter << " iteration" << endl; |
| 758 |
} |
| 759 |
minStatus = MIN_MAXITER; |
| 760 |
saveResult(); |
| 761 |
|
| 762 |
} |
