| 6 | 
  | 
 * redistribute this software in source and binary code form, provided | 
| 7 | 
  | 
 * that the following conditions are met: | 
| 8 | 
  | 
 * | 
| 9 | 
< | 
 * 1. Acknowledgement of the program authors must be made in any | 
| 10 | 
< | 
 *    publication of scientific results based in part on use of the | 
| 11 | 
< | 
 *    program.  An acceptable form of acknowledgement is citation of | 
| 12 | 
< | 
 *    the article in which the program was described (Matthew | 
| 13 | 
< | 
 *    A. Meineke, Charles F. Vardeman II, Teng Lin, Christopher | 
| 14 | 
< | 
 *    J. Fennell and J. Daniel Gezelter, "OOPSE: An Object-Oriented | 
| 15 | 
< | 
 *    Parallel Simulation Engine for Molecular Dynamics," | 
| 16 | 
< | 
 *    J. Comput. Chem. 26, pp. 252-271 (2005)) | 
| 17 | 
< | 
 * | 
| 18 | 
< | 
 * 2. Redistributions of source code must retain the above copyright | 
| 9 | 
> | 
 * 1. Redistributions of source code must retain the above copyright | 
| 10 | 
  | 
 *    notice, this list of conditions and the following disclaimer. | 
| 11 | 
  | 
 * | 
| 12 | 
< | 
 * 3. Redistributions in binary form must reproduce the above copyright | 
| 12 | 
> | 
 * 2. Redistributions in binary form must reproduce the above copyright | 
| 13 | 
  | 
 *    notice, this list of conditions and the following disclaimer in the | 
| 14 | 
  | 
 *    documentation and/or other materials provided with the | 
| 15 | 
  | 
 *    distribution. | 
| 29 | 
  | 
 * University of Notre Dame has been advised of the possibility of | 
| 30 | 
  | 
 * such damages. | 
| 31 | 
  | 
 * | 
| 32 | 
< | 
 *  BondOrderParameter.cpp | 
| 33 | 
< | 
 *  OOPSE-4 | 
| 34 | 
< | 
 * | 
| 32 | 
> | 
 * SUPPORT OPEN SCIENCE!  If you use OpenMD or its source code in your | 
| 33 | 
> | 
 * research, please cite the appropriate papers when you publish your | 
| 34 | 
> | 
 * work.  Good starting points are: | 
| 35 | 
> | 
 *                                                                       | 
| 36 | 
> | 
 * [1]  Meineke, et al., J. Comp. Chem. 26, 252-271 (2005).              | 
| 37 | 
> | 
 * [2]  Fennell & Gezelter, J. Chem. Phys. 124, 234104 (2006).           | 
| 38 | 
> | 
 * [3]  Sun, Lin & Gezelter, J. Chem. Phys. 128, 24107 (2008).           | 
| 39 | 
> | 
 * [4] Kuang & Gezelter,  J. Chem. Phys. 133, 164101 (2010). | 
| 40 | 
> | 
 * [4] , Stocker & Gezelter, J. Chem. Theory Comput. 7, 834 (2011). * | 
| 41 | 
  | 
 *  Created by J. Daniel Gezelter on 09/26/06. | 
| 42 | 
  | 
 *  @author  J. Daniel Gezelter | 
| 43 | 
< | 
 *  @version $Id: BondOrderParameter.cpp,v 1.18 2006-09-26 16:08:44 gezelter Exp $ | 
| 43 | 
> | 
 *  @version $Id$ | 
| 44 | 
  | 
 * | 
| 45 | 
  | 
 */ | 
| 46 | 
  | 
  | 
| 49 | 
  | 
#include "io/DumpReader.hpp" | 
| 50 | 
  | 
#include "primitives/Molecule.hpp" | 
| 51 | 
  | 
#include "utils/NumericConstant.hpp" | 
| 52 | 
+ | 
#include "math/Wigner3jm.hpp" | 
| 53 | 
  | 
 | 
| 54 | 
< | 
namespace oopse { | 
| 54 | 
> | 
using namespace MATPACK; | 
| 55 | 
> | 
namespace OpenMD { | 
| 56 | 
  | 
 | 
| 57 | 
  | 
  BondOrderParameter::BondOrderParameter(SimInfo* info,  | 
| 58 | 
  | 
                                         const std::string& filename,  | 
| 82 | 
  | 
    // W_6 for icosahedral clusters is 11 / sqrt(4199) = 0.169754, so we'll | 
| 83 | 
  | 
    // use values for MinW_ and MaxW_ that are slightly larger than this: | 
| 84 | 
  | 
 | 
| 85 | 
< | 
    MinW_ = -0.25; | 
| 86 | 
< | 
    MaxW_ = 0.25; | 
| 85 | 
> | 
    MinW_ = -1.1; | 
| 86 | 
> | 
    MaxW_ = 1.1; | 
| 87 | 
  | 
    deltaW_ = (MaxW_ - MinW_) / nbins; | 
| 88 | 
  | 
 | 
| 89 | 
  | 
    // Make arrays for Wigner3jm | 
| 90 | 
< | 
    double* THRCOF = new double[2*lMax_+1]; | 
| 90 | 
> | 
    RealType* THRCOF = new RealType[2*lMax_+1]; | 
| 91 | 
  | 
    // Variables for Wigner routine | 
| 92 | 
< | 
    double lPass, m1Pass, m2m, m2M; | 
| 92 | 
> | 
    RealType lPass, m1Pass, m2m, m2M; | 
| 93 | 
  | 
    int error, mSize; | 
| 94 | 
  | 
    mSize = 2*lMax_+1; | 
| 95 | 
  | 
 | 
| 96 | 
  | 
    for (int l = 0; l <= lMax_; l++) { | 
| 97 | 
< | 
      lPass = (double)l; | 
| 97 | 
> | 
      lPass = (RealType)l; | 
| 98 | 
  | 
      for (int m1 = -l; m1 <= l; m1++) { | 
| 99 | 
< | 
        m1Pass = (double)m1; | 
| 99 | 
> | 
        m1Pass = (RealType)m1; | 
| 100 | 
  | 
 | 
| 101 | 
  | 
        std::pair<int,int> lm = std::make_pair(l, m1); | 
| 102 | 
  | 
         | 
| 104 | 
  | 
        for (int ii = 0; ii < 2*l + 1; ii++){ | 
| 105 | 
  | 
          THRCOF[ii] = 0.0; | 
| 106 | 
  | 
        } | 
| 107 | 
< | 
             | 
| 107 | 
> | 
 | 
| 108 | 
  | 
        // Get Wigner coefficients | 
| 109 | 
< | 
        Wigner3jm(&lPass, &lPass, &lPass,  | 
| 110 | 
< | 
                  &m1Pass, &m2m, &m2M,  | 
| 111 | 
< | 
                  THRCOF, &mSize, &error); | 
| 112 | 
< | 
         | 
| 109 | 
> | 
        Wigner3jm(lPass, lPass, lPass,  | 
| 110 | 
> | 
                  m1Pass, m2m, m2M,  | 
| 111 | 
> | 
                  THRCOF, mSize, error); | 
| 112 | 
> | 
        | 
| 113 | 
  | 
        m2Min[lm] = (int)floor(m2m); | 
| 114 | 
  | 
        m2Max[lm] = (int)floor(m2M); | 
| 115 | 
  | 
         | 
| 116 | 
< | 
        for (int mmm = 0; mmm < (int)(m2M - m2m); mmm++) { | 
| 116 | 
> | 
        for (int mmm = 0; mmm <= (int)(m2M - m2m); mmm++) { | 
| 117 | 
  | 
          w3j[lm].push_back(THRCOF[mmm]); | 
| 118 | 
  | 
        } | 
| 119 | 
  | 
      } | 
| 135 | 
  | 
    m2Max.clear(); | 
| 136 | 
  | 
  } | 
| 137 | 
  | 
   | 
| 138 | 
< | 
  void BondOrderParameter::initalizeHistogram() { | 
| 138 | 
> | 
  void BondOrderParameter::initializeHistogram() { | 
| 139 | 
  | 
    for (int bin = 0; bin < nBins_; bin++) { | 
| 140 | 
  | 
      for (int l = 0; l <= lMax_; l++) { | 
| 141 | 
  | 
        Q_histogram_[std::make_pair(bin,l)] = 0; | 
| 157 | 
  | 
    RealType costheta; | 
| 158 | 
  | 
    RealType phi; | 
| 159 | 
  | 
    RealType r; | 
| 161 | 
– | 
    RealType dist; | 
| 160 | 
  | 
    std::map<std::pair<int,int>,ComplexType> q; | 
| 161 | 
  | 
    std::vector<RealType> q_l; | 
| 162 | 
  | 
    std::vector<RealType> q2; | 
| 169 | 
  | 
    std::vector<ComplexType> W_hat; | 
| 170 | 
  | 
    int nBonds, Nbonds; | 
| 171 | 
  | 
    SphericalHarmonic sphericalHarmonic; | 
| 172 | 
< | 
    int i, j; | 
| 172 | 
> | 
    int i; | 
| 173 | 
  | 
 | 
| 174 | 
  | 
    DumpReader reader(info_, dumpFilename_);     | 
| 175 | 
  | 
    int nFrames = reader.getNFrames(); | 
| 184 | 
  | 
    Q.resize(lMax_+1); | 
| 185 | 
  | 
    W.resize(lMax_+1); | 
| 186 | 
  | 
    W_hat.resize(lMax_+1); | 
| 187 | 
+ | 
    Nbonds = 0; | 
| 188 | 
  | 
 | 
| 189 | 
  | 
    for (int istep = 0; istep < nFrames; istep += step_) { | 
| 190 | 
  | 
      reader.readFrame(istep); | 
| 229 | 
  | 
            if (atom->getGlobalIndex() != myIndex) { | 
| 230 | 
  | 
 | 
| 231 | 
  | 
              vec = sd->getPos() - atom->getPos();        | 
| 232 | 
< | 
              currentSnapshot_->wrapVector(vec); | 
| 232 | 
> | 
 | 
| 233 | 
> | 
              if (usePeriodicBoundaryConditions_)  | 
| 234 | 
> | 
                currentSnapshot_->wrapVector(vec); | 
| 235 | 
  | 
               | 
| 236 | 
  | 
              // Calculate "bonds" and build Q_lm(r) where  | 
| 237 | 
  | 
              //      Q_lm = Y_lm(theta(r),phi(r))                 | 
| 251 | 
  | 
                  for(int m = -l; m <= l; m++){ | 
| 252 | 
  | 
                    sphericalHarmonic.setM(m); | 
| 253 | 
  | 
                    q[std::make_pair(l,m)] += sphericalHarmonic.getValueAt(costheta, phi); | 
| 254 | 
+ | 
 | 
| 255 | 
  | 
                  } | 
| 256 | 
  | 
                } | 
| 257 | 
  | 
                nBonds++; | 
| 261 | 
  | 
        } | 
| 262 | 
  | 
         | 
| 263 | 
  | 
         | 
| 262 | 
– | 
        for (int l = 0; l <= lMax_; l++) {          | 
| 263 | 
– | 
          q_l[l] = 0.0; | 
| 264 | 
– | 
          for(int m = -l; m <= l; m++) {  | 
| 265 | 
– | 
            q_l[l] += norm(q[std::make_pair(l,m)]); | 
| 266 | 
– | 
          }      | 
| 267 | 
– | 
          q_l[l] *= 4.0*NumericConstant::PI/(RealType)(2*l + 1); | 
| 268 | 
– | 
          q_l[l] = sqrt(q_l[l])/(RealType)nBonds; | 
| 269 | 
– | 
        } | 
| 270 | 
– | 
 | 
| 271 | 
– | 
        // Find second order invariant Q_l | 
| 272 | 
– | 
         | 
| 264 | 
  | 
        for (int l = 0; l <= lMax_; l++) { | 
| 265 | 
  | 
          q2[l] = 0.0; | 
| 266 | 
  | 
          for (int m = -l; m <= l; m++){ | 
| 267 | 
+ | 
            q[std::make_pair(l,m)] /= (RealType)nBonds;  | 
| 268 | 
+ | 
 | 
| 269 | 
  | 
            q2[l] += norm(q[std::make_pair(l,m)]); | 
| 270 | 
  | 
          } | 
| 271 | 
< | 
          q_l[l] = sqrt(q2[l] * 4.0 * NumericConstant::PI /  | 
| 279 | 
< | 
                        (RealType)(2*l + 1))/(RealType)nBonds; | 
| 271 | 
> | 
          q_l[l] = sqrt(q2[l] * 4.0 * NumericConstant::PI / (RealType)(2*l + 1)); | 
| 272 | 
  | 
        } | 
| 273 | 
< | 
 | 
| 273 | 
> | 
         | 
| 274 | 
  | 
        // Find Third Order Invariant W_l | 
| 275 | 
  | 
     | 
| 276 | 
  | 
        for (int l = 0; l <= lMax_; l++) { | 
| 277 | 
  | 
          w[l] = 0.0; | 
| 278 | 
  | 
          for (int m1 = -l; m1 <= l; m1++) { | 
| 279 | 
  | 
            std::pair<int,int> lm = std::make_pair(l, m1); | 
| 280 | 
< | 
            for (int mmm = 0; mmm < (m2Max[lm] - m2Min[lm]); mmm++) { | 
| 280 | 
> | 
            for (int mmm = 0; mmm <= (m2Max[lm] - m2Min[lm]); mmm++) { | 
| 281 | 
  | 
              int m2 = m2Min[lm] + mmm; | 
| 282 | 
  | 
              int m3 = -m1-m2; | 
| 283 | 
  | 
              w[l] += w3j[lm][mmm] * q[lm] *  | 
| 285 | 
  | 
            } | 
| 286 | 
  | 
          } | 
| 287 | 
  | 
           | 
| 288 | 
< | 
          w_hat[l] = w[l] / pow(q2[l], 1.5); | 
| 288 | 
> | 
          w_hat[l] = w[l] / pow(q2[l], RealType(1.5)); | 
| 289 | 
  | 
        } | 
| 290 | 
  | 
 | 
| 291 | 
  | 
        collectHistogram(q_l, w_hat); | 
| 293 | 
  | 
        Nbonds += nBonds; | 
| 294 | 
  | 
        for (int l = 0; l <= lMax_;  l++) { | 
| 295 | 
  | 
          for (int m = -l; m <= l; m++) { | 
| 296 | 
< | 
            QBar[std::make_pair(l,m)] += q[std::make_pair(l,m)]; | 
| 296 | 
> | 
            QBar[std::make_pair(l,m)] += (RealType)nBonds*q[std::make_pair(l,m)]; | 
| 297 | 
  | 
          } | 
| 298 | 
  | 
        } | 
| 299 | 
  | 
      } | 
| 322 | 
  | 
      W[l] = 0.0; | 
| 323 | 
  | 
      for (int m1 = -l; m1 <= l; m1++) { | 
| 324 | 
  | 
        std::pair<int,int> lm = std::make_pair(l, m1); | 
| 325 | 
< | 
        for (int mmm = 0; mmm < (m2Max[lm] - m2Min[lm]); mmm++) { | 
| 325 | 
> | 
        for (int mmm = 0; mmm <= (m2Max[lm] - m2Min[lm]); mmm++) { | 
| 326 | 
  | 
          int m2 = m2Min[lm] + mmm; | 
| 327 | 
  | 
          int m3 = -m1-m2; | 
| 328 | 
  | 
          W[l] += w3j[lm][mmm] * QBar[lm] *  | 
| 330 | 
  | 
        } | 
| 331 | 
  | 
      } | 
| 332 | 
  | 
       | 
| 333 | 
< | 
      W_hat[l] = W[l] / pow(Q2[l], 1.5); | 
| 333 | 
> | 
      W_hat[l] = W[l] / pow(Q2[l], RealType(1.5)); | 
| 334 | 
  | 
    } | 
| 335 | 
  | 
     | 
| 336 | 
  | 
    writeOrderParameter(Q, W_hat);     | 
| 347 | 
  | 
      } else { | 
| 348 | 
  | 
        sprintf( painCave.errMsg, | 
| 349 | 
  | 
                 "q_l value outside reasonable range\n"); | 
| 350 | 
< | 
        painCave.severity = OOPSE_ERROR; | 
| 350 | 
> | 
        painCave.severity = OPENMD_ERROR; | 
| 351 | 
  | 
        painCave.isFatal = 1; | 
| 352 | 
  | 
        simError();   | 
| 353 | 
  | 
      } | 
| 360 | 
  | 
        Wcount_[l]++;       | 
| 361 | 
  | 
      } else { | 
| 362 | 
  | 
        sprintf( painCave.errMsg, | 
| 363 | 
< | 
                 "Re[w_hat] value outside reasonable range\n"); | 
| 364 | 
< | 
        painCave.severity = OOPSE_ERROR; | 
| 363 | 
> | 
                 "Re[w_hat] value (%lf) outside reasonable range\n", real(what[l])); | 
| 364 | 
> | 
        painCave.severity = OPENMD_ERROR; | 
| 365 | 
  | 
        painCave.isFatal = 1; | 
| 366 | 
  | 
        simError();   | 
| 367 | 
  | 
      } | 
| 388 | 
  | 
        RealType Qval = MinQ_ + (i + 0.5) * deltaQ_;                | 
| 389 | 
  | 
        osq << Qval; | 
| 390 | 
  | 
        for (int l = 0; l <= lMax_; l++) { | 
| 391 | 
< | 
          osq << "\t" << (RealType)Q_histogram_[std::make_pair(i,l)] /  | 
| 392 | 
< | 
            (RealType)Qcount_[l]; | 
| 391 | 
> | 
 | 
| 392 | 
> | 
          osq << "\t" << (RealType)Q_histogram_[std::make_pair(i,l)]/(RealType)Qcount_[l]/deltaQ_; | 
| 393 | 
  | 
        } | 
| 394 | 
  | 
        osq << "\n"; | 
| 395 | 
  | 
      } | 
| 410 | 
  | 
      osw << "# selection: (" << selectionScript_ << ")\n"; | 
| 411 | 
  | 
      osw << "# \n"; | 
| 412 | 
  | 
      for (int l = 0; l <= lMax_; l++) { | 
| 413 | 
< | 
        osw << "# <W_" << l << ">: " << real(What[l]) << "\n"; | 
| 413 | 
> | 
        osw << "# <W_" << l << ">: " << real(What[l]) << "\t" << imag(What[l]) << "\n"; | 
| 414 | 
  | 
      } | 
| 415 | 
  | 
      // Normalize by number of frames and write it out: | 
| 416 | 
  | 
      for (int i = 0; i < nBins_; ++i) { | 
| 417 | 
  | 
        RealType Wval = MinW_ + (i + 0.5) * deltaW_;                | 
| 418 | 
  | 
        osw << Wval; | 
| 419 | 
  | 
        for (int l = 0; l <= lMax_; l++) { | 
| 420 | 
< | 
          osw << "\t" << (RealType)W_histogram_[std::make_pair(i,l)] /  | 
| 421 | 
< | 
            (RealType)Wcount_[l]; | 
| 420 | 
> | 
 | 
| 421 | 
> | 
          osw << "\t" << (RealType)W_histogram_[std::make_pair(i,l)]/(RealType)Wcount_[l]/deltaW_; | 
| 422 | 
  | 
        } | 
| 423 | 
  | 
        osw << "\n"; | 
| 424 | 
  | 
      } |