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trunk/src/applications/staticProps/BondOrderParameter.cpp (file contents), Revision 1043 by gezelter, Thu Sep 21 14:45:08 2006 UTC vs.
branches/development/src/applications/staticProps/BondOrderParameter.cpp (file contents), Revision 1794 by gezelter, Thu Sep 6 19:44:06 2012 UTC

# Line 6 | Line 6
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.
# Line 37 | Line 28
28   * arising out of the use of or inability to use software, even if the
29   * University of Notre Dame has been advised of the possibility of
30   * such damages.
31 + *
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 $Id$
44 + *
45   */
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 */
46  
47   #include "applications/staticProps/BondOrderParameter.hpp"
48   #include "utils/simError.h"
49   #include "io/DumpReader.hpp"
50   #include "primitives/Molecule.hpp"
51   #include "utils/NumericConstant.hpp"
52 < #include "math/SphericalHarmonic.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,
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 nbins) : StaticAnalyser(info, filename), selectionScript_(sele), evaluator_(info), seleMan_(info){
61      
62      setOutputName(getPrefix(filename) + ".bo");
63  
# Line 69 | Line 68 | namespace oopse {
68  
69      // Set up cutoff radius and order of the Legendre Polynomial:
70  
72    lNumber_ = lNumber;
71      rCut_ = rCut;
72 <    mSize_ = 2*lNumber_+1;    
72 >    nBins_ = nbins;
73 >    Qcount_.resize(lMax_+1);
74 >    Wcount_.resize(lMax_+1);
75  
76      // Q can take values from 0 to 1
77  
78      MinQ_ = 0.0;
79 <    MaxQ_ = 1.0;
79 >    MaxQ_ = 1.1;
80      deltaQ_ = (MaxQ_ - MinQ_) / nbins;
81    Q_histogram_.resize(nbins);
81  
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_ = -0.18;
86 <    MaxW_ = 0.18;
85 >    MinW_ = -1.1;
86 >    MaxW_ = 1.1;
87      deltaW_ = (MaxW_ - MinW_) / nbins;
89    W_histogram_.resize(nbins);
88  
89 <  }
89 >    // Make arrays for Wigner3jm
90 >    RealType* THRCOF = new RealType[2*lMax_+1];
91 >    // Variables for Wigner routine
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 = (RealType)l;
98 +      for (int m1 = -l; m1 <= l; m1++) {
99 +        m1Pass = (RealType)m1;
100 +
101 +        std::pair<int,int> lm = std::make_pair(l, m1);
102 +        
103 +        // Zero work array
104 +        for (int ii = 0; ii < 2*l + 1; ii++){
105 +          THRCOF[ii] = 0.0;
106 +        }
107 +
108 +        // Get Wigner coefficients
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++) {
117 +          w3j[lm].push_back(THRCOF[mmm]);
118 +        }
119 +      }
120 +    }
121 +    delete [] THRCOF;
122 +    THRCOF = NULL;
123 +  }
124 +  
125    BondOrderParameter::~BondOrderParameter() {
126      Q_histogram_.clear();
127      W_histogram_.clear();
128 +    for (int l = 0; l <= lMax_; l++) {
129 +      for (int m = -l; m <= l; m++) {
130 +        w3j[std::make_pair(l,m)].clear();
131 +      }
132 +    }
133 +    w3j.clear();
134 +    m2Min.clear();
135 +    m2Max.clear();
136    }
137 <
138 <  void BondOrderParameter::initalizeHistogram() {
139 <    std::fill(Q_histogram_.begin(), Q_histogram_.end(), 0);
140 <    std::fill(W_histogram_.begin(), W_histogram_.end(), 0);
137 >  
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;
142 >        W_histogram_[std::make_pair(bin,l)] = 0;
143 >      }
144 >    }
145    }
146  
147    void BondOrderParameter::process() {
# Line 113 | Line 157 | namespace oopse {
157      RealType costheta;
158      RealType phi;
159      RealType r;
160 <    RealType dist;
161 <    std::map<int, ComplexType> QBar_lm;
162 <    RealType QSq_l;
163 <    RealType Q_l;
164 <    ComplexType W_l;
165 <    ComplexType W_l_hat;
166 <    int nBonds;
160 >    std::map<std::pair<int,int>,ComplexType> q;
161 >    std::vector<RealType> q_l;
162 >    std::vector<RealType> q2;
163 >    std::vector<ComplexType> w;
164 >    std::vector<ComplexType> w_hat;
165 >    std::map<std::pair<int,int>,ComplexType> QBar;
166 >    std::vector<RealType> Q2;
167 >    std::vector<RealType> Q;
168 >    std::vector<ComplexType> W;
169 >    std::vector<ComplexType> W_hat;
170 >    int nBonds, Nbonds;
171      SphericalHarmonic sphericalHarmonic;
172 <    int i, j;
125 <    // Make arrays for Wigner3jm
126 <    double* THRCOF = new double[mSize_];
127 <    // Variables for Wigner routine
128 <    double l_ = (double)lNumber_;
129 <    double m1Pass, m2Min, m2Max;
130 <    int error, m1, m2, m3;
172 >    int i;
173  
132    // Set the l for the spherical harmonic, it doesn't change
133    sphericalHarmonic.setL(lNumber_);
134
174      DumpReader reader(info_, dumpFilename_);    
175      int nFrames = reader.getNFrames();
176      frameCounter_ = 0;
177  
178 +    q_l.resize(lMax_+1);
179 +    q2.resize(lMax_+1);
180 +    w.resize(lMax_+1);
181 +    w_hat.resize(lMax_+1);
182 +
183 +    Q2.resize(lMax_+1);
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);
191        frameCounter_++;
# Line 153 | Line 203 | namespace oopse {
203               rb = mol->nextRigidBody(rbIter)) {
204            rb->updateAtoms();
205          }        
206 <      }      
207 <      
206 >      }          
207 >            
208        // outer loop is over the selected StuntDoubles:
209  
210        for (sd = seleMan_.beginSelected(i); sd != NULL;
211             sd = seleMan_.nextSelected(i)) {
212  
213          myIndex = sd->getGlobalIndex();
164
165        // For this central atom, zero out nBonds and QBar_lm
166
214          nBonds = 0;
215 <      
216 <        for (int m = -lNumber_; m <= lNumber_; m++) {
217 <          QBar_lm[m] = 0.0;
215 >        
216 >        for (int l = 0; l <= lMax_; l++) {
217 >          for (int m = -l; m <= l; m++) {
218 >            q[std::make_pair(l,m)] = 0.0;
219 >          }
220          }
221          
222          // inner loop is over all other atoms in the system:
# Line 180 | Line 229 | namespace oopse {
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))                
# Line 194 | Line 245 | namespace oopse {
245                if (r < rCut_) {
246                  costheta = vec.z() / r;
247                  phi = atan2(vec.y(), vec.x());
248 <                
249 <                for(int m = -lNumber_; m <= lNumber_; m++){
250 <                  sphericalHarmonic.setM(m);
251 <                  QBar_lm[m] += sphericalHarmonic.getValueAt(costheta,phi);
248 >
249 >                for (int l = 0; l <= lMax_; l++) {
250 >                  sphericalHarmonic.setL(l);
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                  nBonds++;
257                }  
# Line 205 | Line 259 | namespace oopse {
259            }
260          }
261          
262 <        // Normalize Qbar2
263 <        for (int m = -lNumber_;m <= lNumber_; m++){
264 <          QBar_lm[m] /= nBonds;
265 <          std::cout << "m = " << m << " QBLM = " << QBar_lm[m] << "\n";
262 >        
263 >        for (int l = 0; l <= lMax_; l++) {
264 >          q2[l] = 0.0;
265 >          for (int m = -l; m <= l; m++){
266 >            q[std::make_pair(l,m)] /= (RealType)nBonds;
267 >            q2[l] += norm(q[std::make_pair(l,m)]);
268 >          }
269 >          q_l[l] = sqrt(q2[l] * 4.0 * NumericConstant::PI / (RealType)(2*l + 1));
270          }
271 <
214 <        // Find second order invariant Q_l
215 <
216 <        QSq_l = 0.0;
217 <        for (int m = -lNumber_; m <= lNumber_; m++){
218 <          QSq_l += norm(QBar_lm[m]);
219 <        }
220 <        std::cout << "qsq_l = " << QSq_l << "\n";
221 <        Q_l = sqrt(QSq_l*(4.0 * NumericConstant::PI / (2.0*(RealType)lNumber_ + 1)));
222 <
271 >        
272          // Find Third Order Invariant W_l
273 <        
274 <        W_l = 0.0;
275 <        for (int m1 = -lNumber_; m1 <= lNumber_; m1++) {
276 <          // Zero work array
277 <          for (int ii = 0; ii < mSize_; ii++){
278 <            THRCOF[i] = 0.0;
273 >    
274 >        for (int l = 0; l <= lMax_; l++) {
275 >          w[l] = 0.0;
276 >          for (int m1 = -l; m1 <= l; m1++) {
277 >            std::pair<int,int> lm = std::make_pair(l, m1);
278 >            for (int mmm = 0; mmm <= (m2Max[lm] - m2Min[lm]); mmm++) {
279 >              int m2 = m2Min[lm] + mmm;
280 >              int m3 = -m1-m2;
281 >              w[l] += w3j[lm][mmm] * q[lm] *
282 >                q[std::make_pair(l,m2)] *  q[std::make_pair(l,m3)];
283 >            }
284            }
285 <          // Get Wigner coefficients
286 <          m1Pass = (double)m1;
233 <          Wigner3jm(&l_, &l_, &l_, &m1Pass, &m2Min, &m2Max, THRCOF, &mSize_, &error);
234 <          for (int m_index = 1; m_index < (int)(m2Max - m2Min-1.0); m_index++) {
235 <            m2 = floor(m2Min) + m_index - 1;
236 <            m3 = -m1-m2;
237 <            W_l += THRCOF[m_index]*QBar_lm[m1+lNumber_]*QBar_lm[m2+lNumber_]*QBar_lm[m3+lNumber_];
238 <          }
285 >          
286 >          w_hat[l] = w[l] / pow(q2[l], RealType(1.5));
287          }
240        
241        W_l_hat = W_l / pow(QSq_l, 1.5);
242        
243        // accumulate histogram data for Q_l and W_l_hat:
288  
289 <        std::cout << "Ql = " << Q_l << " Wl = " << W_l_hat << "\n";
290 <        collectHistogram(Q_l, real(W_l_hat));
291 <                
289 >        collectHistogram(q_l, w_hat);
290 >        
291 >        Nbonds += nBonds;
292 >        for (int l = 0; l <= lMax_;  l++) {
293 >          for (int m = -l; m <= l; m++) {
294 >            QBar[std::make_pair(l,m)] += (RealType)nBonds*q[std::make_pair(l,m)];
295 >          }
296 >        }
297        }
298      }
299 +      
300 +    // Normalize Qbar2
301 +    for (int l = 0; l <= lMax_; l++) {
302 +      for (int m = -l; m <= l; m++){
303 +        QBar[std::make_pair(l,m)] /= Nbonds;
304 +      }
305 +    }
306      
307 <    writeOrderParameter();
307 >    // Find second order invariant Q_l
308      
309 +    for (int l = 0; l <= lMax_; l++) {
310 +      Q2[l] = 0.0;
311 +      for (int m = -l; m <= l; m++){
312 +        Q2[l] += norm(QBar[std::make_pair(l,m)]);
313 +      }
314 +      Q[l] = sqrt(Q2[l] * 4.0 * NumericConstant::PI / (RealType)(2*l + 1));
315 +    }
316 +    
317 +    // Find Third Order Invariant W_l
318 +    
319 +    for (int l = 0; l <= lMax_; l++) {
320 +      W[l] = 0.0;
321 +      for (int m1 = -l; m1 <= l; m1++) {
322 +        std::pair<int,int> lm = std::make_pair(l, m1);
323 +        for (int mmm = 0; mmm <= (m2Max[lm] - m2Min[lm]); mmm++) {
324 +          int m2 = m2Min[lm] + mmm;
325 +          int m3 = -m1-m2;
326 +          W[l] += w3j[lm][mmm] * QBar[lm] *
327 +            QBar[std::make_pair(l,m2)] * QBar[std::make_pair(l,m3)];
328 +        }
329 +      }
330 +      
331 +      W_hat[l] = W[l] / pow(Q2[l], RealType(1.5));
332 +    }
333 +    
334 +    writeOrderParameter(Q, W_hat);    
335    }
336  
337 +  void BondOrderParameter::collectHistogram(std::vector<RealType> q,
338 +                                            std::vector<ComplexType> what) {
339  
340 <  void BondOrderParameter::collectHistogram(RealType Q_l, RealType W_l_hat) {
341 <
342 <    if (Q_l >= MinQ_ && Q_l < MaxQ_) {
343 <      int qbin = (Q_l - MinQ_) / deltaQ_;
344 <      Q_histogram_[qbin] += 1;
345 <      Qcount_++;
346 <      sumQ_ += Q_l;
347 <      sumQ2_ += Q_l * Q_l;
348 <    } else {
349 <      sprintf( painCave.errMsg,
350 <               "Q_l value outside reasonable range\n");
351 <      painCave.severity = OOPSE_ERROR;
268 <      painCave.isFatal = 1;
269 <      simError();  
340 >    for (int l = 0; l <= lMax_; l++) {
341 >      if (q[l] >= MinQ_ && q[l] < MaxQ_) {
342 >        int qbin = int((q[l] - MinQ_) / deltaQ_);
343 >        Q_histogram_[std::make_pair(qbin,l)] += 1;
344 >        Qcount_[l]++;      
345 >      } else {
346 >        sprintf( painCave.errMsg,
347 >                 "q_l value outside reasonable range\n");
348 >        painCave.severity = OPENMD_ERROR;
349 >        painCave.isFatal = 1;
350 >        simError();  
351 >      }
352      }
353  
354 <    if (W_l_hat >= MinW_ && W_l_hat < MaxW_) {
355 <      int wbin = (W_l_hat - MinW_) / deltaW_;
356 <      W_histogram_[wbin] += 1;
357 <      Wcount_++;
358 <      sumW_  += W_l_hat;
359 <      sumW2_ += W_l_hat*W_l_hat;
360 <    } else {
361 <      sprintf( painCave.errMsg,
362 <               "W_l_hat value outside reasonable range\n");
363 <      painCave.severity = OOPSE_ERROR;
364 <      painCave.isFatal = 1;
365 <      simError();  
354 >    for (int l = 0; l <= lMax_; l++) {
355 >      if (real(what[l]) >= MinW_ && real(what[l]) < MaxW_) {
356 >        int wbin = int((real(what[l]) - MinW_) / deltaW_);
357 >        W_histogram_[std::make_pair(wbin,l)] += 1;
358 >        Wcount_[l]++;      
359 >      } else {
360 >        sprintf( painCave.errMsg,
361 >                 "Re[w_hat] value (%lf) outside reasonable range\n", real(what[l]));
362 >        painCave.severity = OPENMD_ERROR;
363 >        painCave.isFatal = 1;
364 >        simError();  
365 >      }
366      }
367 +
368    }  
369  
287  void BondOrderParameter::writeOrderParameter() {
370  
371 +  void BondOrderParameter::writeOrderParameter(std::vector<RealType> Q,
372 +                                               std::vector<ComplexType> What) {
373 +    
374      std::ofstream osq((getOutputFileName() + "q").c_str());
375  
376      if (osq.is_open()) {
292
293      RealType qAvg = sumQ_ / (RealType) Qcount_;
294      RealType qStdDev = sumQ2_ / (RealType) Qcount_ - qAvg*qAvg;
377        
378 <      osq << "# Bond Order Parameter Q_" << lNumber_ << "\n";
378 >      osq << "# Bond Order Parameters\n";
379        osq << "# selection: (" << selectionScript_ << ")\n";
380 <      osq << "# <Q_" << lNumber_ << ">: " << qAvg << "\n";
381 <      osq << "# std. dev.: " << qStdDev << "\n";
382 <      
380 >      osq << "# \n";
381 >      for (int l = 0; l <= lMax_; l++) {
382 >        osq << "# <Q_" << l << ">: " << Q[l] << "\n";
383 >      }
384        // Normalize by number of frames and write it out:
385 <      for (int i = 0; i < Q_histogram_.size(); ++i) {
386 <        RealType Qval = MinQ_ + (i + 0.5) * deltaQ_;
387 <        osq << Qval << "\t" << Q_histogram_[i] / frameCounter_ << "\n";
385 >      for (int i = 0; i < nBins_; ++i) {
386 >        RealType Qval = MinQ_ + (i + 0.5) * deltaQ_;              
387 >        osq << Qval;
388 >        for (int l = 0; l <= lMax_; l++) {
389 >
390 >          osq << "\t" << (RealType)Q_histogram_[std::make_pair(i,l)]/(RealType)Qcount_[l]/deltaQ_;
391 >        }
392 >        osq << "\n";
393        }
394 <      
394 >
395        osq.close();
396 +
397      } else {
398        sprintf(painCave.errMsg, "BondOrderParameter: unable to open %s\n",
399                (getOutputFileName() + "q").c_str());
# Line 315 | Line 404 | namespace oopse {
404      std::ofstream osw((getOutputFileName() + "w").c_str());
405  
406      if (osw.is_open()) {
407 <
319 <      RealType wAvg = sumW_ / (RealType) Wcount_;
320 <      RealType wStdDev = sumW2_ / (RealType) Wcount_ - wAvg*wAvg;
321 <      
322 <      osw << "# Bond Order Parameter W_" << lNumber_ << "\n";
407 >      osw << "# Bond Order Parameters\n";
408        osw << "# selection: (" << selectionScript_ << ")\n";
409 <      osw << "# <W_" << lNumber_ << ">: " << wAvg << "\n";
410 <      osw << "# std. dev.: " << wStdDev << "\n";
411 <      
409 >      osw << "# \n";
410 >      for (int l = 0; l <= lMax_; l++) {
411 >        osw << "# <W_" << l << ">: " << real(What[l]) << "\t" << imag(What[l]) << "\n";
412 >      }
413        // Normalize by number of frames and write it out:
414 <      for (int i = 0; i < W_histogram_.size(); ++i) {
415 <        RealType Wval = MinW_ + (i + 0.5) * deltaW_;
416 <        osw << Wval << "\t" << W_histogram_[i] / frameCounter_ << "\n";
414 >      for (int i = 0; i < nBins_; ++i) {
415 >        RealType Wval = MinW_ + (i + 0.5) * deltaW_;              
416 >        osw << Wval;
417 >        for (int l = 0; l <= lMax_; l++) {
418 >
419 >          osw << "\t" << (RealType)W_histogram_[std::make_pair(i,l)]/(RealType)Wcount_[l]/deltaW_;
420 >        }
421 >        osw << "\n";
422        }
423 <      
423 >
424        osw.close();
425      } else {
426        sprintf(painCave.errMsg, "BondOrderParameter: unable to open %s\n",
# Line 337 | Line 428 | namespace oopse {
428        painCave.isFatal = 1;
429        simError();  
430      }
431 +      
432    }
433   }

Comparing:
trunk/src/applications/staticProps/BondOrderParameter.cpp (property svn:keywords), Revision 1043 by gezelter, Thu Sep 21 14:45:08 2006 UTC vs.
branches/development/src/applications/staticProps/BondOrderParameter.cpp (property svn:keywords), Revision 1794 by gezelter, Thu Sep 6 19:44:06 2012 UTC

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