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Comparing trunk/src/applications/staticProps/BondOrderParameter.cpp (file contents):
Revision 1039 by gezelter, Tue Sep 19 21:14:11 2006 UTC vs.
Revision 1785 by jmichalk, Wed Aug 22 18:43:27 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/RealSphericalHarmonic.hpp"
55 < namespace oopse {
52 > #include "math/Wigner3jm.hpp"
53  
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)
62 <    : StaticAnalyser(info, filename), selectionScript_(sele),
63 <      evaluator_(info), seleMan_(info){
60 >                                         double rCut, int nbins) : StaticAnalyser(info, filename), selectionScript_(sele), evaluator_(info), seleMan_(info){
61      
62 <    setOutputName(getPrefix(filename) + ".obo");
62 >    setOutputName(getPrefix(filename) + ".bo");
63  
64      evaluator_.loadScriptString(sele);
65      if (!evaluator_.isDynamic()) {
# Line 71 | Line 68 | namespace oopse {
68  
69      // Set up cutoff radius and order of the Legendre Polynomial:
70  
74    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 <    // Set the l for the spherical harmonic, it doesn't change
76 >    // Q can take values from 0 to 1
77  
78 <    sphericalHarmonic.setL(lNumber_);
78 >    MinQ_ = 0.0;
79 >    MaxQ_ = 1.1;
80 >    deltaQ_ = (MaxQ_ - MinQ_) / nbins;
81  
82 <    delta_Q = 1.0 / nbins;
83 <    delta_W = 2.0 / nbins;
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 <    Q_histogram_.resize(nbins);
86 <    W_histogram_.resize(nbins);
85 >    MinW_ = -1.1;
86 >    MaxW_ = 1.1;
87 >    deltaW_ = (MaxW_ - MinW_) / 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 <  void BondOrderParameter::initalizeHistogram() {
97 <    std::fill(Q_histogram_.begin(), Q_histogram_.end(), 0);
98 <    std::fill(W_histogram_.begin(), W_histogram_.end(), 0);
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::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() {
148      Molecule* mol;
149      Atom* atom;
150      RigidBody* rb;
151 +    int myIndex;
152      SimInfo::MoleculeIterator mi;
153      Molecule::RigidBodyIterator rbIter;
154      Molecule::AtomIterator ai;
155      StuntDouble* sd;
156 <    RealType theta;
156 >    Vector3d vec;
157 >    RealType costheta;
158      RealType phi;
159      RealType r;
160 <    RealType dist;
161 <    std::map<int, RealType> QBar_lm;
162 <    RealType QSq_l;
163 <    RealType Q_l;
164 <    int nBonds;
165 <    RealSphericalHarmonic sphericalHarmonic;
166 <    int i, j;
167 <  
168 <  
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;
173 >
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_++;
192        currentSnapshot_ = info_->getSnapshotManager()->getCurrentSnapshot();
193        
194        if (evaluator_.isDynamic()) {
# Line 132 | 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 <        // For this central atom, zero out nBonds and QBar_lm
143 <
213 >        myIndex = sd->getGlobalIndex();
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 154 | Line 226 | namespace oopse {
226            for (atom = mol->beginAtom(ai); atom != NULL;
227                 atom = mol->nextAtom(ai)) {
228  
229 +            if (atom->getGlobalIndex() != myIndex) {
230  
231 <            Vector3d vec = sd->getPos() - atom->getPos();      
232 <            currentSnapshot_->wrapVector(vec);
233 <            
234 <            // Calculate "bonds" and build Q_lm(r) where
235 <            //      Q_lm = Y_lm(theta(r),phi(r))                
236 <            // The spherical harmonics are wrt any arbitrary coordinate
237 <            // system, we choose standard spherical coordinates
238 <            
239 <            r = sqrt(pow(vec.x(),2)+pow(vec.y(),2)+pow(vec.z(),2));
240 <            
241 <            // Check to see if neighbor is in bond cutoff
242 <            
243 <            if (r < rCut_) {            
244 <              theta = atan2(vec.y(), vec.x());
245 <              phi = acos(vec.z()/r);
246 <              for(int m = -lNumber_; m <= lNumber_; m++){
247 <                sphericalHarmonic.setM(m);
248 <                QBar_lm[m] += sphericalHarmonic.getValueAt(theta,phi);
249 <              }
250 <              nBonds++;
251 <            }  
231 >              vec = sd->getPos() - atom->getPos();      
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))                
238 >              // The spherical harmonics are wrt any arbitrary coordinate
239 >              // system, we choose standard spherical coordinates
240 >              
241 >              r = vec.length();
242 >              
243 >              // Check to see if neighbor is in bond cutoff
244 >              
245 >              if (r < rCut_) {
246 >                costheta = vec.z() / r;
247 >                phi = atan2(vec.y(), vec.x());
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 >                }
257 >                nBonds++;
258 >              }  
259 >            }
260            }
261          }
262          
263 <        // Normalize Qbar
264 <        for (int m = -lNumber_;m <= lNumber_; m++){
265 <          QBar_lm[m] /= nBonds;
266 <        }
263 >        
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 <        // Find second order invariant Q_l
270 <
271 <        QSq_l = 0.0;
190 <        for (int m = -lNumber_; m <= lNumber_; m++){
191 <          QSq_l += pow(QBar_lm[m], 2);  
269 >            q2[l] += norm(q[std::make_pair(l,m)]);
270 >          }
271 >          q_l[l] = sqrt(q2[l] * 4.0 * NumericConstant::PI / (RealType)(2*l + 1));
272          }
273 <        Q_l = sqrt(QSq_l*(4.0 * NumericConstant::PI / (2.0*(RealType)lNumber_ + 1)));
194 <    
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++) {
281 +              int m2 = m2Min[lm] + mmm;
282 +              int m3 = -m1-m2;
283 +              w[l] += w3j[lm][mmm] * q[lm] *
284 +                q[std::make_pair(l,m2)] *  q[std::make_pair(l,m3)];
285 +            }
286 +          }
287 +          
288 +          w_hat[l] = w[l] / pow(q2[l], RealType(1.5));
289 +        }
290  
291 <        // Make arrays for Wigner3jm
198 <        double* THRCOF = new double[mSize_];
199 <        // Variables for Wigner routine
200 <        double l_ = (double)lNumber_;
201 <        double m2Min, m2Max;
202 <        int error, m1, m2, m3;
291 >        collectHistogram(q_l, w_hat);
292          
293 <        W_l_ = 0.0;
294 <        for (int m1 = -lNumber_; m1 <= lNumber_; m1++) {
295 <          // Zero work array
296 <          for (int ii = 0; ii < mSize_; ii+){
208 <            THRCOF[i] = 0.0;
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)] += (RealType)nBonds*q[std::make_pair(l,m)];
297            }
210          // Get Wigner coefficients
211          Wigner3jm(&l_, &l_, &l_, &(double)m1, &m2Min, &m2Max, THRCOF, &mSize_, &error);
212          for (int m_index = 1; i < (int)(m2Max - m2Min-1.0); m_index++) {
213            m2 = floor(m2Min) + m_index - 1;
214            m3 = -m1-m2;
215            W_l_ += THRCOF[m_index]*QBar_lm[m1+lNumber_]*QBar_lm[m2+lNumber_]*QBar_lm[m3+lNumber_];
216          }
298          }
218
219        W_l_hat = W_l_ / pow(QSq_l, 1.5);
220
221        // accumulate histogram data for Q_l and W_l_hat:
222
223        collectHistogram(Q_l, W_l_hat);
224                
299        }
300      }
301 +      
302 +    // Normalize Qbar2
303 +    for (int l = 0; l <= lMax_; l++) {
304 +      for (int m = -l; m <= l; m++){
305 +        QBar[std::make_pair(l,m)] /= Nbonds;
306 +      }
307 +    }
308      
309 <    // Normalize by number of frames
310 <    for (int m = -lNumber_; m <= lNumber_; m++){
311 <      QBar_lm[m] /=  nFrames;  
309 >    // Find second order invariant Q_l
310 >    
311 >    for (int l = 0; l <= lMax_; l++) {
312 >      Q2[l] = 0.0;
313 >      for (int m = -l; m <= l; m++){
314 >        Q2[l] += norm(QBar[std::make_pair(l,m)]);
315 >      }
316 >      Q[l] = sqrt(Q2[l] * 4.0 * NumericConstant::PI / (RealType)(2*l + 1));
317      }
318      
319 <    
234 <    
235 <    
236 <    
237 <    writeOrderParameter();
319 >    // Find Third Order Invariant W_l
320      
321 +    for (int l = 0; l <= lMax_; l++) {
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++) {
326 +          int m2 = m2Min[lm] + mmm;
327 +          int m3 = -m1-m2;
328 +          W[l] += w3j[lm][mmm] * QBar[lm] *
329 +            QBar[std::make_pair(l,m2)] * QBar[std::make_pair(l,m3)];
330 +        }
331 +      }
332 +      
333 +      W_hat[l] = W[l] / pow(Q2[l], RealType(1.5));
334 +    }
335 +    
336 +    writeOrderParameter(Q, W_hat);    
337    }
338  
339 <  
340 <  void BondOrderParameter::processHistogram() {
243 <    
244 <    int nPairs = getNPairs();
245 <    RealType volume = info_->getSnapshotManager()->getCurrentSnapshot()->getVolume();
246 <    RealType pairDensity = nPairs /volume * 2.0;
247 <    RealType pairConstant = ( 4.0 * NumericConstant::PI * pairDensity ) / 3.0;
339 >  void BondOrderParameter::collectHistogram(std::vector<RealType> q,
340 >                                            std::vector<ComplexType> what) {
341  
342 <    for(int i = 0 ; i < histogram_.size(); ++i){
342 >    for (int l = 0; l <= lMax_; l++) {
343 >      if (q[l] >= MinQ_ && q[l] < MaxQ_) {
344 >        int qbin = (q[l] - MinQ_) / deltaQ_;
345 >        Q_histogram_[std::make_pair(qbin,l)] += 1;
346 >        Qcount_[l]++;      
347 >      } else {
348 >        sprintf( painCave.errMsg,
349 >                 "q_l value outside reasonable range\n");
350 >        painCave.severity = OPENMD_ERROR;
351 >        painCave.isFatal = 1;
352 >        simError();  
353 >      }
354 >    }
355  
356 <      RealType rLower = i * deltaR_;
357 <      RealType rUpper = rLower + deltaR_;
358 <      RealType volSlice = ( rUpper * rUpper * rUpper ) - ( rLower * rLower * rLower );
359 <      RealType nIdeal = volSlice * pairConstant;
360 <
361 <      avgGofr_[i] += histogram_[i] / nIdeal;    
356 >    for (int l = 0; l <= lMax_; l++) {
357 >      if (real(what[l]) >= MinW_ && real(what[l]) < MaxW_) {
358 >        int wbin = (real(what[l]) - MinW_) / deltaW_;
359 >        W_histogram_[std::make_pair(wbin,l)] += 1;
360 >        Wcount_[l]++;      
361 >      } else {
362 >        sprintf( painCave.errMsg,
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 >      }
368      }
369  
370 <  }
370 >  }  
371  
261  void BondOrderParameter::collectHistogram(RealType Q_l, RealType W_l_hat) {
372  
373 <    if (Q_l < Max_Q) {
374 <      int whichBin = Q_l / deltaQ_;
375 <      Q_histogram_[whichBin] += 1;
376 <    }
267 <    if (W_l_hat < Max_W) {
268 <      int whichBin = W_l_hat / deltaW_;
269 <      W_histogram_[whichBin] += 1;
270 <    }
271 <  }
272 <  
373 >  void BondOrderParameter::writeOrderParameter(std::vector<RealType> Q,
374 >                                               std::vector<ComplexType> What) {
375 >    
376 >    std::ofstream osq((getOutputFileName() + "q").c_str());
377  
378 <  void BondOrderParameter::writeOrderParameter() {
378 >    if (osq.is_open()) {
379 >      
380 >      osq << "# Bond Order Parameters\n";
381 >      osq << "# selection: (" << selectionScript_ << ")\n";
382 >      osq << "# \n";
383 >      for (int l = 0; l <= lMax_; l++) {
384 >        osq << "# <Q_" << l << ">: " << Q[l] << "\n";
385 >      }
386 >      // Normalize by number of frames and write it out:
387 >      for (int i = 0; i < nBins_; ++i) {
388 >        RealType Qval = MinQ_ + (i + 0.5) * deltaQ_;              
389 >        osq << Qval;
390 >        for (int l = 0; l <= lMax_; l++) {
391  
392 <    std::ofstream os(getOutputFileName().c_str());
393 <    os << "#Bond Order Parameter\n";
394 <    os << "#selection: (" << selectionScript_ << ")\n";
392 >          osq << "\t" << (RealType)Q_histogram_[std::make_pair(i,l)]/(RealType)Qcount_[l]/deltaQ_;
393 >        }
394 >        osq << "\n";
395 >      }
396  
397 <    for (std::size_t i = 0; i < orderParams_.size(); ++i) {
281 <      os <<  orderParams_[i].p2 << "\t"
282 <         <<  orderParams_[i].director[0] << "\t"
283 <         <<  orderParams_[i].director[1] << "\t"
284 <         <<  orderParams_[i].director[2] << "\t"
285 <         <<  orderParams_[i].angle << "\n";
397 >      osq.close();
398  
399 +    } else {
400 +      sprintf(painCave.errMsg, "BondOrderParameter: unable to open %s\n",
401 +              (getOutputFileName() + "q").c_str());
402 +      painCave.isFatal = 1;
403 +      simError();  
404      }
288  }
405  
406 +    std::ofstream osw((getOutputFileName() + "w").c_str());
407  
408 +    if (osw.is_open()) {
409 +      osw << "# Bond Order Parameters\n";
410 +      osw << "# selection: (" << selectionScript_ << ")\n";
411 +      osw << "# \n";
412 +      for (int l = 0; l <= lMax_; l++) {
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  
421 +          osw << "\t" << (RealType)W_histogram_[std::make_pair(i,l)]/(RealType)Wcount_[l]/deltaW_;
422 +        }
423 +        osw << "\n";
424 +      }
425 +
426 +      osw.close();
427 +    } else {
428 +      sprintf(painCave.errMsg, "BondOrderParameter: unable to open %s\n",
429 +              (getOutputFileName() + "w").c_str());
430 +      painCave.isFatal = 1;
431 +      simError();  
432 +    }
433 +      
434 +  }
435   }

Comparing trunk/src/applications/staticProps/BondOrderParameter.cpp (property svn:keywords):
Revision 1039 by gezelter, Tue Sep 19 21:14:11 2006 UTC vs.
Revision 1785 by jmichalk, Wed Aug 22 18:43:27 2012 UTC

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