| 37 |  | * arising out of the use of or inability to use software, even if the | 
| 38 |  | * University of Notre Dame has been advised of the possibility of | 
| 39 |  | * such damages. | 
| 40 | + | * | 
| 41 | + | *  BondOrderParameter.cpp | 
| 42 | + | *  OOPSE-4 | 
| 43 | + | * | 
| 44 | + | *  Created by J. Daniel Gezelter on 09/26/06. | 
| 45 | + | *  @author  J. Daniel Gezelter | 
| 46 | + | *  @version $Id: BondOrderParameter.cpp,v 1.19 2006-10-18 21:58:47 gezelter Exp $ | 
| 47 | + | * | 
| 48 |  | */ | 
| 41 | – |  | 
| 42 | – |  | 
| 43 | – | /* Creates orientational bond order parameters as outlined by | 
| 44 | – | *     Bond-orientaional order in liquids and glasses, Steinhart,Nelson,Ronchetti | 
| 45 | – | *     Phys Rev B, 28,784,1983 | 
| 46 | – | * | 
| 47 | – | */ | 
| 49 |  |  | 
| 50 |  | #include "applications/staticProps/BondOrderParameter.hpp" | 
| 51 |  | #include "utils/simError.h" | 
| 58 |  | BondOrderParameter::BondOrderParameter(SimInfo* info, | 
| 59 |  | const std::string& filename, | 
| 60 |  | const std::string& sele, | 
| 61 | < | double rCut, int lMax, int nbins) : StaticAnalyser(info, filename), selectionScript_(sele), evaluator_(info), seleMan_(info){ | 
| 61 | > | double rCut, int nbins) : StaticAnalyser(info, filename), selectionScript_(sele), evaluator_(info), seleMan_(info){ | 
| 62 |  |  | 
| 63 |  | setOutputName(getPrefix(filename) + ".bo"); | 
| 64 |  |  | 
| 69 |  |  | 
| 70 |  | // Set up cutoff radius and order of the Legendre Polynomial: | 
| 71 |  |  | 
| 71 | – | lMax_ = lMax; | 
| 72 |  | rCut_ = rCut; | 
| 73 |  | nBins_ = nbins; | 
| 74 |  | Qcount_.resize(lMax_+1); | 
| 83 |  | // W_6 for icosahedral clusters is 11 / sqrt(4199) = 0.169754, so we'll | 
| 84 |  | // use values for MinW_ and MaxW_ that are slightly larger than this: | 
| 85 |  |  | 
| 86 | < | MinW_ = -0.18; | 
| 87 | < | MaxW_ = 0.18; | 
| 86 | > | MinW_ = -0.25; | 
| 87 | > | MaxW_ = 0.25; | 
| 88 |  | deltaW_ = (MaxW_ - MinW_) / nbins; | 
| 89 | – | } | 
| 89 |  |  | 
| 90 | + | // Make arrays for Wigner3jm | 
| 91 | + | double* THRCOF = new double[2*lMax_+1]; | 
| 92 | + | // Variables for Wigner routine | 
| 93 | + | double lPass, m1Pass, m2m, m2M; | 
| 94 | + | int error, mSize; | 
| 95 | + | mSize = 2*lMax_+1; | 
| 96 | + |  | 
| 97 | + | for (int l = 0; l <= lMax_; l++) { | 
| 98 | + | lPass = (double)l; | 
| 99 | + | for (int m1 = -l; m1 <= l; m1++) { | 
| 100 | + | m1Pass = (double)m1; | 
| 101 | + |  | 
| 102 | + | std::pair<int,int> lm = std::make_pair(l, m1); | 
| 103 | + |  | 
| 104 | + | // Zero work array | 
| 105 | + | for (int ii = 0; ii < 2*l + 1; ii++){ | 
| 106 | + | THRCOF[ii] = 0.0; | 
| 107 | + | } | 
| 108 | + |  | 
| 109 | + | // Get Wigner coefficients | 
| 110 | + | Wigner3jm(&lPass, &lPass, &lPass, | 
| 111 | + | &m1Pass, &m2m, &m2M, | 
| 112 | + | THRCOF, &mSize, &error); | 
| 113 | + |  | 
| 114 | + | m2Min[lm] = (int)floor(m2m); | 
| 115 | + | m2Max[lm] = (int)floor(m2M); | 
| 116 | + |  | 
| 117 | + | for (int mmm = 0; mmm < (int)(m2M - m2m); mmm++) { | 
| 118 | + | w3j[lm].push_back(THRCOF[mmm]); | 
| 119 | + | } | 
| 120 | + | } | 
| 121 | + | } | 
| 122 | + | delete [] THRCOF; | 
| 123 | + | THRCOF = NULL; | 
| 124 | + | } | 
| 125 | + |  | 
| 126 |  | BondOrderParameter::~BondOrderParameter() { | 
| 127 |  | Q_histogram_.clear(); | 
| 128 |  | W_histogram_.clear(); | 
| 129 | + | for (int l = 0; l <= lMax_; l++) { | 
| 130 | + | for (int m = -l; m <= l; m++) { | 
| 131 | + | w3j[std::make_pair(l,m)].clear(); | 
| 132 | + | } | 
| 133 | + | } | 
| 134 | + | w3j.clear(); | 
| 135 | + | m2Min.clear(); | 
| 136 | + | m2Max.clear(); | 
| 137 |  | } | 
| 138 | < |  | 
| 138 | > |  | 
| 139 |  | void BondOrderParameter::initalizeHistogram() { | 
| 140 |  | for (int bin = 0; bin < nBins_; bin++) { | 
| 141 |  | for (int l = 0; l <= lMax_; l++) { | 
| 161 |  | RealType dist; | 
| 162 |  | std::map<std::pair<int,int>,ComplexType> q; | 
| 163 |  | std::vector<RealType> q_l; | 
| 164 | + | std::vector<RealType> q2; | 
| 165 | + | std::vector<ComplexType> w; | 
| 166 | + | std::vector<ComplexType> w_hat; | 
| 167 |  | std::map<std::pair<int,int>,ComplexType> QBar; | 
| 168 |  | std::vector<RealType> Q2; | 
| 169 |  | std::vector<RealType> Q; | 
| 172 |  | int nBonds, Nbonds; | 
| 173 |  | SphericalHarmonic sphericalHarmonic; | 
| 174 |  | int i, j; | 
| 129 | – | // Make arrays for Wigner3jm | 
| 130 | – | double* THRCOF = new double[2*lMax_+1]; | 
| 131 | – | // Variables for Wigner routine | 
| 132 | – | double lPass, m1Pass, m2Min, m2Max; | 
| 133 | – | int error, m1, m2, m3, mSize; | 
| 134 | – | mSize = 2*lMax_+1; | 
| 175 |  |  | 
| 176 |  | DumpReader reader(info_, dumpFilename_); | 
| 177 |  | int nFrames = reader.getNFrames(); | 
| 178 |  | frameCounter_ = 0; | 
| 179 |  |  | 
| 180 |  | q_l.resize(lMax_+1); | 
| 181 | + | q2.resize(lMax_+1); | 
| 182 | + | w.resize(lMax_+1); | 
| 183 | + | w_hat.resize(lMax_+1); | 
| 184 | + |  | 
| 185 |  | Q2.resize(lMax_+1); | 
| 186 |  | Q.resize(lMax_+1); | 
| 187 |  | W.resize(lMax_+1); | 
| 230 |  | if (atom->getGlobalIndex() != myIndex) { | 
| 231 |  |  | 
| 232 |  | vec = sd->getPos() - atom->getPos(); | 
| 233 | < | currentSnapshot_->wrapVector(vec); | 
| 233 | > |  | 
| 234 | > | if (usePeriodicBoundaryConditions_) | 
| 235 | > | currentSnapshot_->wrapVector(vec); | 
| 236 |  |  | 
| 237 |  | // Calculate "bonds" and build Q_lm(r) where | 
| 238 |  | //      Q_lm = Y_lm(theta(r),phi(r)) | 
| 269 |  | q_l[l] *= 4.0*NumericConstant::PI/(RealType)(2*l + 1); | 
| 270 |  | q_l[l] = sqrt(q_l[l])/(RealType)nBonds; | 
| 271 |  | } | 
| 272 | < | collectHistogram(q_l); | 
| 272 | > |  | 
| 273 | > | // Find second order invariant Q_l | 
| 274 |  |  | 
| 275 | + | for (int l = 0; l <= lMax_; l++) { | 
| 276 | + | q2[l] = 0.0; | 
| 277 | + | for (int m = -l; m <= l; m++){ | 
| 278 | + | q2[l] += norm(q[std::make_pair(l,m)]); | 
| 279 | + | } | 
| 280 | + | q_l[l] = sqrt(q2[l] * 4.0 * NumericConstant::PI / | 
| 281 | + | (RealType)(2*l + 1))/(RealType)nBonds; | 
| 282 | + | } | 
| 283 | + |  | 
| 284 | + | // Find Third Order Invariant W_l | 
| 285 | + |  | 
| 286 | + | for (int l = 0; l <= lMax_; l++) { | 
| 287 | + | w[l] = 0.0; | 
| 288 | + | for (int m1 = -l; m1 <= l; m1++) { | 
| 289 | + | std::pair<int,int> lm = std::make_pair(l, m1); | 
| 290 | + | for (int mmm = 0; mmm < (m2Max[lm] - m2Min[lm]); mmm++) { | 
| 291 | + | int m2 = m2Min[lm] + mmm; | 
| 292 | + | int m3 = -m1-m2; | 
| 293 | + | w[l] += w3j[lm][mmm] * q[lm] * | 
| 294 | + | q[std::make_pair(l,m2)] *  q[std::make_pair(l,m3)]; | 
| 295 | + | } | 
| 296 | + | } | 
| 297 | + |  | 
| 298 | + | w_hat[l] = w[l] / pow(q2[l], 1.5); | 
| 299 | + | } | 
| 300 | + |  | 
| 301 | + | collectHistogram(q_l, w_hat); | 
| 302 | + |  | 
| 303 |  | Nbonds += nBonds; | 
| 304 |  | for (int l = 0; l <= lMax_;  l++) { | 
| 305 |  | for (int m = -l; m <= l; m++) { | 
| 326 |  | Q[l] = sqrt(Q2[l] * 4.0 * NumericConstant::PI / (RealType)(2*l + 1)); | 
| 327 |  | } | 
| 328 |  |  | 
| 254 | – |  | 
| 255 | – |  | 
| 329 |  | // Find Third Order Invariant W_l | 
| 330 |  |  | 
| 331 |  | for (int l = 0; l <= lMax_; l++) { | 
| 332 |  | W[l] = 0.0; | 
| 260 | – | lPass = (double)l; | 
| 333 |  | for (int m1 = -l; m1 <= l; m1++) { | 
| 334 | < | // Zero work array | 
| 335 | < | for (int ii = 0; ii < 2*l + 1; ii++){ | 
| 336 | < | THRCOF[ii] = 0.0; | 
| 334 | > | std::pair<int,int> lm = std::make_pair(l, m1); | 
| 335 | > | for (int mmm = 0; mmm < (m2Max[lm] - m2Min[lm]); mmm++) { | 
| 336 | > | int m2 = m2Min[lm] + mmm; | 
| 337 | > | int m3 = -m1-m2; | 
| 338 | > | W[l] += w3j[lm][mmm] * QBar[lm] * | 
| 339 | > | QBar[std::make_pair(l,m2)] * QBar[std::make_pair(l,m3)]; | 
| 340 |  | } | 
| 266 | – | // Get Wigner coefficients | 
| 267 | – | m1Pass = (double)m1; | 
| 268 | – |  | 
| 269 | – | Wigner3jm(&lPass, &lPass, &lPass, | 
| 270 | – | &m1Pass, &m2Min, &m2Max, | 
| 271 | – | THRCOF, &mSize, &error); | 
| 272 | – |  | 
| 273 | – | for (int mmm = 0; mmm < (int)(m2Max - m2Min); mmm++) { | 
| 274 | – | m2 = (int)floor(m2Min) + mmm; | 
| 275 | – | m3 = -m1-m2; | 
| 276 | – | W[l] += THRCOF[mmm] * | 
| 277 | – | QBar[std::make_pair(l,m1)] * | 
| 278 | – | QBar[std::make_pair(l,m2)] * | 
| 279 | – | QBar[std::make_pair(l,m3)]; | 
| 280 | – | } | 
| 341 |  | } | 
| 342 |  |  | 
| 343 |  | W_hat[l] = W[l] / pow(Q2[l], 1.5); | 
| 346 |  | writeOrderParameter(Q, W_hat); | 
| 347 |  | } | 
| 348 |  |  | 
| 349 | < | void BondOrderParameter::collectHistogram(std::vector<RealType> q) { | 
| 349 | > | void BondOrderParameter::collectHistogram(std::vector<RealType> q, | 
| 350 | > | std::vector<ComplexType> what) { | 
| 351 |  |  | 
| 352 |  | for (int l = 0; l <= lMax_; l++) { | 
| 353 |  | if (q[l] >= MinQ_ && q[l] < MaxQ_) { | 
| 363 |  | } | 
| 364 |  | } | 
| 365 |  |  | 
| 366 | + | for (int l = 0; l <= lMax_; l++) { | 
| 367 | + | if (real(what[l]) >= MinW_ && real(what[l]) < MaxW_) { | 
| 368 | + | int wbin = (real(what[l]) - MinW_) / deltaW_; | 
| 369 | + | W_histogram_[std::make_pair(wbin,l)] += 1; | 
| 370 | + | Wcount_[l]++; | 
| 371 | + | } else { | 
| 372 | + | sprintf( painCave.errMsg, | 
| 373 | + | "Re[w_hat] value outside reasonable range\n"); | 
| 374 | + | painCave.severity = OOPSE_ERROR; | 
| 375 | + | painCave.isFatal = 1; | 
| 376 | + | simError(); | 
| 377 | + | } | 
| 378 | + | } | 
| 379 | + |  | 
| 380 |  | } | 
| 381 |  |  | 
| 382 |  |  | 
| 383 | < | void BondOrderParameter::writeOrderParameter(std::vector<RealType> Q, std::vector<ComplexType> What) { | 
| 383 | > | void BondOrderParameter::writeOrderParameter(std::vector<RealType> Q, | 
| 384 | > | std::vector<ComplexType> What) { | 
| 385 |  |  | 
| 386 | < | std::ofstream os(getOutputFileName().c_str()); | 
| 387 | < |  | 
| 388 | < | if (os.is_open()) { | 
| 386 | > | std::ofstream osq((getOutputFileName() + "q").c_str()); | 
| 387 | > |  | 
| 388 | > | if (osq.is_open()) { | 
| 389 |  |  | 
| 390 | < | os << "# Bond Order Parameters\n"; | 
| 391 | < | os << "# selection: (" << selectionScript_ << ")\n"; | 
| 390 | > | osq << "# Bond Order Parameters\n"; | 
| 391 | > | osq << "# selection: (" << selectionScript_ << ")\n"; | 
| 392 | > | osq << "# \n"; | 
| 393 |  | for (int l = 0; l <= lMax_; l++) { | 
| 394 | < | os << "# \n"; | 
| 318 | < | os << "# <Q_" << l << ">: " << Q[l] << "\n"; | 
| 319 | < | os << "# <W_" << l << ">: " << real(What[l]) << "\n"; | 
| 394 | > | osq << "# <Q_" << l << ">: " << Q[l] << "\n"; | 
| 395 |  | } | 
| 396 |  | // Normalize by number of frames and write it out: | 
| 397 |  | for (int i = 0; i < nBins_; ++i) { | 
| 398 |  | RealType Qval = MinQ_ + (i + 0.5) * deltaQ_; | 
| 399 | < | os << Qval; | 
| 399 | > | osq << Qval; | 
| 400 |  | for (int l = 0; l <= lMax_; l++) { | 
| 401 | < | os << "\t" << (RealType)Q_histogram_[std::make_pair(i,l)] / (RealType)Qcount_[l]; | 
| 401 | > | osq << "\t" << (RealType)Q_histogram_[std::make_pair(i,l)] / | 
| 402 | > | (RealType)Qcount_[l]; | 
| 403 |  | } | 
| 404 | < | os << "\n"; | 
| 404 | > | osq << "\n"; | 
| 405 |  | } | 
| 406 |  |  | 
| 407 | < | os.close(); | 
| 407 | > | osq.close(); | 
| 408 |  |  | 
| 409 |  | } else { | 
| 410 |  | sprintf(painCave.errMsg, "BondOrderParameter: unable to open %s\n", | 
| 411 | < | getOutputFileName().c_str()); | 
| 411 | > | (getOutputFileName() + "q").c_str()); | 
| 412 |  | painCave.isFatal = 1; | 
| 413 |  | simError(); | 
| 414 |  | } | 
| 415 | + |  | 
| 416 | + | std::ofstream osw((getOutputFileName() + "w").c_str()); | 
| 417 | + |  | 
| 418 | + | if (osw.is_open()) { | 
| 419 | + | osw << "# Bond Order Parameters\n"; | 
| 420 | + | osw << "# selection: (" << selectionScript_ << ")\n"; | 
| 421 | + | osw << "# \n"; | 
| 422 | + | for (int l = 0; l <= lMax_; l++) { | 
| 423 | + | osw << "# <W_" << l << ">: " << real(What[l]) << "\n"; | 
| 424 | + | } | 
| 425 | + | // Normalize by number of frames and write it out: | 
| 426 | + | for (int i = 0; i < nBins_; ++i) { | 
| 427 | + | RealType Wval = MinW_ + (i + 0.5) * deltaW_; | 
| 428 | + | osw << Wval; | 
| 429 | + | for (int l = 0; l <= lMax_; l++) { | 
| 430 | + | osw << "\t" << (RealType)W_histogram_[std::make_pair(i,l)] / | 
| 431 | + | (RealType)Wcount_[l]; | 
| 432 | + | } | 
| 433 | + | osw << "\n"; | 
| 434 | + | } | 
| 435 | + |  | 
| 436 | + | osw.close(); | 
| 437 | + | } else { | 
| 438 | + | sprintf(painCave.errMsg, "BondOrderParameter: unable to open %s\n", | 
| 439 | + | (getOutputFileName() + "w").c_str()); | 
| 440 | + | painCave.isFatal = 1; | 
| 441 | + | simError(); | 
| 442 | + | } | 
| 443 | + |  | 
| 444 |  | } | 
| 445 |  | } |