| 51 |  | #include "io/DumpReader.hpp" | 
| 52 |  | #include "primitives/Molecule.hpp" | 
| 53 |  | #include "utils/NumericConstant.hpp" | 
| 54 | – | #include "math/SphericalHarmonic.hpp" | 
| 54 |  |  | 
| 55 |  | namespace oopse { | 
| 56 |  |  | 
| 57 |  | BondOrderParameter::BondOrderParameter(SimInfo* info, | 
| 58 |  | const std::string& filename, | 
| 59 |  | const std::string& sele, | 
| 60 | < | double rCut, int lNumber, int nbins) : StaticAnalyser(info, filename), selectionScript_(sele), evaluator_(info), seleMan_(info){ | 
| 60 | > | double rCut, int lMax, int nbins) : StaticAnalyser(info, filename), selectionScript_(sele), evaluator_(info), seleMan_(info){ | 
| 61 |  |  | 
| 62 |  | setOutputName(getPrefix(filename) + ".bo"); | 
| 63 |  |  | 
| 68 |  |  | 
| 69 |  | // Set up cutoff radius and order of the Legendre Polynomial: | 
| 70 |  |  | 
| 71 | < | lNumber_ = lNumber; | 
| 71 | > | lMax_ = lMax; | 
| 72 |  | rCut_ = rCut; | 
| 73 | < | mSize_ = 2*lNumber_+1; | 
| 73 | > | nBins_ = nbins; | 
| 74 | > | Qcount_.resize(lMax_+1); | 
| 75 | > | Wcount_.resize(lMax_+1); | 
| 76 | > |  | 
| 77 | > | // Q can take values from 0 to 1 | 
| 78 | > |  | 
| 79 | > | MinQ_ = 0.0; | 
| 80 | > | MaxQ_ = 1.1; | 
| 81 | > | deltaQ_ = (MaxQ_ - MinQ_) / nbins; | 
| 82 | > |  | 
| 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; | 
| 88 | > | deltaW_ = (MaxW_ - MinW_) / nbins; | 
| 89 |  | } | 
| 90 |  |  | 
| 91 |  | BondOrderParameter::~BondOrderParameter() { | 
| 92 | + | Q_histogram_.clear(); | 
| 93 | + | W_histogram_.clear(); | 
| 94 |  | } | 
| 95 |  |  | 
| 96 | + | void BondOrderParameter::initalizeHistogram() { | 
| 97 | + | for (int bin = 0; bin < nBins_; bin++) { | 
| 98 | + | for (int l = 0; l <= lMax_; l++) { | 
| 99 | + | Q_histogram_[std::make_pair(bin,l)] = 0; | 
| 100 | + | W_histogram_[std::make_pair(bin,l)] = 0; | 
| 101 | + | } | 
| 102 | + | } | 
| 103 | + | } | 
| 104 | + |  | 
| 105 |  | void BondOrderParameter::process() { | 
| 106 |  | Molecule* mol; | 
| 107 |  | Atom* atom; | 
| 116 |  | RealType phi; | 
| 117 |  | RealType r; | 
| 118 |  | RealType dist; | 
| 119 | < | std::map<int,ComplexType> QBar_lm; | 
| 120 | < | RealType QSq_l; | 
| 121 | < | RealType Q_l; | 
| 122 | < | ComplexType W_l; | 
| 123 | < | ComplexType W_l_hat; | 
| 124 | < | int nBonds; | 
| 119 | > | std::map<std::pair<int,int>,ComplexType> q; | 
| 120 | > | std::vector<RealType> q_l; | 
| 121 | > | std::map<std::pair<int,int>,ComplexType> QBar; | 
| 122 | > | std::vector<RealType> Q2; | 
| 123 | > | std::vector<RealType> Q; | 
| 124 | > | std::vector<ComplexType> W; | 
| 125 | > | std::vector<ComplexType> W_hat; | 
| 126 | > | int nBonds, Nbonds; | 
| 127 |  | SphericalHarmonic sphericalHarmonic; | 
| 128 |  | int i, j; | 
| 129 |  | // Make arrays for Wigner3jm | 
| 130 | < | double* THRCOF = new double[mSize_]; | 
| 130 | > | double* THRCOF = new double[2*lMax_+1]; | 
| 131 |  | // Variables for Wigner routine | 
| 132 | < | double l_ = (double)lNumber_; | 
| 133 | < | double m1Pass, m2Min, m2Max; | 
| 134 | < | int error, m1, m2, m3; | 
| 132 | > | double lPass, m1Pass, m2Min, m2Max; | 
| 133 | > | int error, m1, m2, m3, mSize; | 
| 134 | > | mSize = 2*lMax_+1; | 
| 135 |  |  | 
| 109 | – | // Set the l for the spherical harmonic, it doesn't change | 
| 110 | – | sphericalHarmonic.setL(lNumber_); | 
| 111 | – |  | 
| 136 |  | DumpReader reader(info_, dumpFilename_); | 
| 137 |  | int nFrames = reader.getNFrames(); | 
| 138 |  | frameCounter_ = 0; | 
| 139 |  |  | 
| 140 | + | q_l.resize(lMax_+1); | 
| 141 | + | Q2.resize(lMax_+1); | 
| 142 | + | Q.resize(lMax_+1); | 
| 143 | + | W.resize(lMax_+1); | 
| 144 | + | W_hat.resize(lMax_+1); | 
| 145 | + |  | 
| 146 |  | for (int istep = 0; istep < nFrames; istep += step_) { | 
| 147 |  | reader.readFrame(istep); | 
| 148 |  | frameCounter_++; | 
| 160 |  | rb = mol->nextRigidBody(rbIter)) { | 
| 161 |  | rb->updateAtoms(); | 
| 162 |  | } | 
| 163 | < | } | 
| 164 | < |  | 
| 135 | < | nBonds = 0; | 
| 136 | < |  | 
| 137 | < | for (int m = -lNumber_; m <= lNumber_; m++) { | 
| 138 | < | QBar_lm[m] = 0.0; | 
| 139 | < | } | 
| 140 | < |  | 
| 163 | > | } | 
| 164 | > |  | 
| 165 |  | // outer loop is over the selected StuntDoubles: | 
| 166 |  |  | 
| 167 |  | for (sd = seleMan_.beginSelected(i); sd != NULL; | 
| 168 |  | sd = seleMan_.nextSelected(i)) { | 
| 169 |  |  | 
| 170 |  | myIndex = sd->getGlobalIndex(); | 
| 171 | + | nBonds = 0; | 
| 172 |  |  | 
| 173 | + | for (int l = 0; l <= lMax_; l++) { | 
| 174 | + | for (int m = -l; m <= l; m++) { | 
| 175 | + | q[std::make_pair(l,m)] = 0.0; | 
| 176 | + | } | 
| 177 | + | } | 
| 178 | + |  | 
| 179 |  | // inner loop is over all other atoms in the system: | 
| 180 |  |  | 
| 181 |  | for (mol = info_->beginMolecule(mi); mol != NULL; | 
| 200 |  | if (r < rCut_) { | 
| 201 |  | costheta = vec.z() / r; | 
| 202 |  | phi = atan2(vec.y(), vec.x()); | 
| 203 | < |  | 
| 204 | < | for(int m = -lNumber_; m <= lNumber_; m++){ | 
| 205 | < | sphericalHarmonic.setM(m); | 
| 206 | < | QBar_lm[m] += sphericalHarmonic.getValueAt(costheta, phi); | 
| 203 | > |  | 
| 204 | > | for (int l = 0; l <= lMax_; l++) { | 
| 205 | > | sphericalHarmonic.setL(l); | 
| 206 | > | for(int m = -l; m <= l; m++){ | 
| 207 | > | sphericalHarmonic.setM(m); | 
| 208 | > | q[std::make_pair(l,m)] += sphericalHarmonic.getValueAt(costheta, phi); | 
| 209 | > | } | 
| 210 |  | } | 
| 211 |  | nBonds++; | 
| 212 |  | } | 
| 213 |  | } | 
| 214 |  | } | 
| 215 |  | } | 
| 216 | < | } | 
| 217 | < | } | 
| 218 | < |  | 
| 216 | > |  | 
| 217 | > |  | 
| 218 | > | for (int l = 0; l <= lMax_; l++) { | 
| 219 | > | q_l[l] = 0.0; | 
| 220 | > | for(int m = -l; m <= l; m++) { | 
| 221 | > | q_l[l] += norm(q[std::make_pair(l,m)]); | 
| 222 | > | } | 
| 223 | > | q_l[l] *= 4.0*NumericConstant::PI/(RealType)(2*l + 1); | 
| 224 | > | q_l[l] = sqrt(q_l[l])/(RealType)nBonds; | 
| 225 | > | } | 
| 226 | > | collectHistogram(q_l); | 
| 227 | > |  | 
| 228 | > | Nbonds += nBonds; | 
| 229 | > | for (int l = 0; l <= lMax_;  l++) { | 
| 230 | > | for (int m = -l; m <= l; m++) { | 
| 231 | > | QBar[std::make_pair(l,m)] += q[std::make_pair(l,m)]; | 
| 232 | > | } | 
| 233 | > | } | 
| 234 | > | } | 
| 235 | > | } | 
| 236 | > |  | 
| 237 |  | // Normalize Qbar2 | 
| 238 | < | for (int m = -lNumber_;m <= lNumber_; m++){ | 
| 239 | < | QBar_lm[m] /= nBonds; | 
| 238 | > | for (int l = 0; l <= lMax_; l++) { | 
| 239 | > | for (int m = -l; m <= l; m++){ | 
| 240 | > | QBar[std::make_pair(l,m)] /= Nbonds; | 
| 241 | > | } | 
| 242 |  | } | 
| 243 |  |  | 
| 244 |  | // Find second order invariant Q_l | 
| 245 |  |  | 
| 246 | < | QSq_l = 0.0; | 
| 247 | < | for (int m = -lNumber_; m <= lNumber_; m++){ | 
| 248 | < | QSq_l += norm(QBar_lm[m]); | 
| 246 | > | for (int l = 0; l <= lMax_; l++) { | 
| 247 | > | Q2[l] = 0.0; | 
| 248 | > | for (int m = -l; m <= l; m++){ | 
| 249 | > | Q2[l] += norm(QBar[std::make_pair(l,m)]); | 
| 250 | > | } | 
| 251 | > | Q[l] = sqrt(Q2[l] * 4.0 * NumericConstant::PI / (RealType)(2*l + 1)); | 
| 252 |  | } | 
| 253 |  |  | 
| 254 | < | std::cout << "qsl = " << QSq_l << "\n"; | 
| 198 | < | Q_l = sqrt(QSq_l * 4.0 * NumericConstant::PI / (RealType)(2*lNumber_ + 1)); | 
| 254 | > |  | 
| 255 |  |  | 
| 256 |  | // Find Third Order Invariant W_l | 
| 257 |  |  | 
| 258 | < | W_l = 0.0; | 
| 259 | < | for (int m1 = -lNumber_; m1 <= lNumber_; m1++) { | 
| 260 | < | // Zero work array | 
| 261 | < | for (int ii = 0; ii < mSize_; ii++){ | 
| 262 | < | THRCOF[ii] = 0.0; | 
| 258 | > | for (int l = 0; l <= lMax_; l++) { | 
| 259 | > | W[l] = 0.0; | 
| 260 | > | lPass = (double)l; | 
| 261 | > | for (int m1 = -l; m1 <= l; m1++) { | 
| 262 | > | // Zero work array | 
| 263 | > | for (int ii = 0; ii < 2*l + 1; ii++){ | 
| 264 | > | THRCOF[ii] = 0.0; | 
| 265 | > | } | 
| 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 | > | } | 
| 281 |  | } | 
| 208 | – | // Get Wigner coefficients | 
| 209 | – | m1Pass = (double)m1; | 
| 282 |  |  | 
| 283 | < | Wigner3jm(&l_, &l_, &l_, | 
| 212 | < | &m1Pass, &m2Min, &m2Max, | 
| 213 | < | THRCOF, &mSize_, &error); | 
| 214 | < |  | 
| 215 | < | for (int mmm = 0; mmm < (int)(m2Max - m2Min); mmm++) { | 
| 216 | < | m2 = (int)floor(m2Min) + mmm; | 
| 217 | < | m3 = -m1-m2; | 
| 218 | < | W_l += THRCOF[mmm] * QBar_lm[m1] * QBar_lm[m2] * QBar_lm[m3]; | 
| 219 | < | } | 
| 283 | > | W_hat[l] = W[l] / pow(Q2[l], 1.5); | 
| 284 |  | } | 
| 285 |  |  | 
| 286 | < | W_l_hat = W_l / pow(QSq_l, 1.5); | 
| 223 | < |  | 
| 224 | < | writeOrderParameter(Q_l, real(W_l_hat)); | 
| 286 | > | writeOrderParameter(Q, W_hat); | 
| 287 |  | } | 
| 288 |  |  | 
| 289 | + | void BondOrderParameter::collectHistogram(std::vector<RealType> q) { | 
| 290 |  |  | 
| 291 | < | void BondOrderParameter::writeOrderParameter(RealType ql, RealType Wlhat) { | 
| 291 | > | for (int l = 0; l <= lMax_; l++) { | 
| 292 | > | if (q[l] >= MinQ_ && q[l] < MaxQ_) { | 
| 293 | > | int qbin = (q[l] - MinQ_) / deltaQ_; | 
| 294 | > | Q_histogram_[std::make_pair(qbin,l)] += 1; | 
| 295 | > | Qcount_[l]++; | 
| 296 | > | } else { | 
| 297 | > | sprintf( painCave.errMsg, | 
| 298 | > | "q_l value outside reasonable range\n"); | 
| 299 | > | painCave.severity = OOPSE_ERROR; | 
| 300 | > | painCave.isFatal = 1; | 
| 301 | > | simError(); | 
| 302 | > | } | 
| 303 | > | } | 
| 304 |  |  | 
| 305 | < | std::ofstream os(getOutputFileName().c_str()); | 
| 305 | > | } | 
| 306 |  |  | 
| 307 | + |  | 
| 308 | + | void BondOrderParameter::writeOrderParameter(std::vector<RealType> Q, std::vector<ComplexType> What) { | 
| 309 | + |  | 
| 310 | + | std::ofstream os(getOutputFileName().c_str()); | 
| 311 | + |  | 
| 312 |  | if (os.is_open()) { | 
| 313 |  |  | 
| 314 |  | os << "# Bond Order Parameters\n"; | 
| 315 |  | os << "# selection: (" << selectionScript_ << ")\n"; | 
| 316 | < | os << "# \n"; | 
| 317 | < | os << "# <Q_" << lNumber_ << ">: " << ql << "\n"; | 
| 318 | < | os << "# <W_" << lNumber_ << ">: " << Wlhat << "\n"; | 
| 316 | > | for (int l = 0; l <= lMax_; l++) { | 
| 317 | > | os << "# \n"; | 
| 318 | > | os << "# <Q_" << l << ">: " << Q[l] << "\n"; | 
| 319 | > | os << "# <W_" << l << ">: " << real(What[l]) << "\n"; | 
| 320 | > | } | 
| 321 | > | // Normalize by number of frames and write it out: | 
| 322 | > | for (int i = 0; i < nBins_; ++i) { | 
| 323 | > | RealType Qval = MinQ_ + (i + 0.5) * deltaQ_; | 
| 324 | > | os << Qval; | 
| 325 | > | for (int l = 0; l <= lMax_; l++) { | 
| 326 | > | os << "\t" << (RealType)Q_histogram_[std::make_pair(i,l)] / (RealType)Qcount_[l]; | 
| 327 | > | } | 
| 328 | > | os << "\n"; | 
| 329 | > | } | 
| 330 | > |  | 
| 331 |  | os.close(); | 
| 332 |  |  | 
| 333 |  | } else { |