applications/sequentialProps/ContactAngle2.cpp

/*
 * Copyright (c) 2005 The University of Notre Dame. All Rights Reserved.
 *
 * The University of Notre Dame grants you ("Licensee") a
 * non-exclusive, royalty free, license to use, modify and
 * redistribute this software in source and binary code form, provided
 * that the following conditions are met:
 *
 * 1. Redistributions of source code must retain the above copyright
 *    notice, this list of conditions and the following disclaimer.
 *
 * 2. Redistributions in binary form must reproduce the above copyright
 *    notice, this list of conditions and the following disclaimer in the
 *    documentation and/or other materials provided with the
 *    distribution.
 *
 * This software is provided "AS IS," without a warranty of any
 * kind. All express or implied conditions, representations and
 * warranties, including any implied warranty of merchantability,
 * fitness for a particular purpose or non-infringement, are hereby
 * excluded.  The University of Notre Dame and its licensors shall not
 * be liable for any damages suffered by licensee as a result of
 * using, modifying or distributing the software or its
 * derivatives. In no event will the University of Notre Dame or its
 * licensors be liable for any lost revenue, profit or data, or for
 * direct, indirect, special, consequential, incidental or punitive
 * damages, however caused and regardless of the theory of liability,
 * arising out of the use of or inability to use software, even if the
 * University of Notre Dame has been advised of the possibility of
 * such damages.
 *
 * SUPPORT OPEN SCIENCE!  If you use OpenMD or its source code in your
 * research, please cite the appropriate papers when you publish your
 * work.  Good starting points are:
 *                                                                      
 * [1]  Meineke, et al., J. Comp. Chem. 26, 252-271 (2005).             
 * [2]  Fennell & Gezelter, J. Chem. Phys. 124, 234104 (2006).          
 * [3]  Sun, Lin & Gezelter, J. Chem. Phys. 128, 234107 (2008).          
 * [4]  Kuang & Gezelter,  J. Chem. Phys. 133, 164101 (2010).
 * [5]  Vardeman, Stocker & Gezelter, J. Chem. Theory Comput. 7, 834 (2011).
 */

#include <algorithm>
#include <functional>
#include "applications/sequentialProps/ContactAngle2.hpp"
#include "utils/simError.h"
#include "io/DumpReader.hpp"
#include "primitives/Molecule.hpp"
#include "utils/NumericConstant.hpp"
#include "utils/PhysicalConstants.hpp"
#include "math/Eigenvalue.hpp"

namespace OpenMD {

  ContactAngle2::ContactAngle2(SimInfo* info, const std::string& filename, 
                               const std::string& sele, RealType solidZ,
                               RealType threshDens, int nrbins, int nzbins)
    : SequentialAnalyzer(info, filename), selectionScript_(sele), 
      evaluator_(info), seleMan_(info), solidZ_(solidZ),
      threshDens_(threshDens), nRBins_(nrbins), nZBins_(nzbins) {

    setOutputName(getPrefix(filename) + ".ca2");
    
    evaluator_.loadScriptString(sele);
    
    if (!evaluator_.isDynamic()) {
      seleMan_.setSelectionSet(evaluator_.evaluate());
    }            
  }

  void ContactAngle2::doFrame() {
    StuntDouble* sd;
    int i;

    // set up the bins for density analysis

    Mat3x3d hmat = info_->getSnapshotManager()->getCurrentSnapshot()->getHmat();
    RealType len = std::min(hmat(0, 0), hmat(1, 1));
    RealType zLen = hmat(2,2);

    RealType dr = len / (RealType) nRBins_;
    RealType dz = zLen / (RealType) nZBins_;

    std::vector<std::vector<RealType> > histo;
    histo.resize(nRBins_);
    for (unsigned int i = 0; i < histo.size(); ++i){
      histo[i].resize(nZBins_);
      std::fill(histo[i].begin(), histo[i].end(), 0.0);
    }      
        
    if (evaluator_.isDynamic()) {
      seleMan_.setSelectionSet(evaluator_.evaluate());
    }
    

    RealType mtot = 0.0;
    Vector3d com(V3Zero);
    RealType mass;
    
    for (sd = seleMan_.beginSelected(i); sd != NULL;
         sd = seleMan_.nextSelected(i)) {      
      mass = sd->getMass();
      mtot += mass;
      com += sd->getPos() * mass;
    }

    com /= mtot;

    // now that we have the centroid, we can make cylindrical density maps
    Vector3d pos;
    RealType r;
    RealType z;
    
    for (sd = seleMan_.beginSelected(i); sd != NULL;
         sd = seleMan_.nextSelected(i)) {      
      pos = sd->getPos() - com;

      // r goes from zero upwards
      r = sqrt(pow(pos.x(), 2) + pow(pos.y(), 2));
      // z is possibly symmetric around 0
      z = pos.z();
          
      int whichRBin = int(r / dr);
      int whichZBin = int( (zLen/2.0 + z) / dz);
      
      if ((whichRBin < nRBins_) && (whichZBin >= 0) && (whichZBin < nZBins_)) 
        histo[whichRBin][whichZBin] += sd->getMass();
      
    }
    
    for(unsigned int i = 0 ; i < histo.size(); ++i){

      RealType rL = i * dr;
      RealType rU = rL + dr;
      RealType volSlice = NumericConstant::PI * dz * (( rU*rU ) - ( rL*rL ));

      for (unsigned int j = 0; j < histo[i].size(); ++j) {
        histo[i][j] *= PhysicalConstants::densityConvert / volSlice;
      }
    }

    std::vector<Vector<RealType, 2> > points;
    points.clear();
    
    for (unsigned int j = 0; j < nZBins_;  ++j) {

      // The z coordinates were measured relative to the selection
      // center of mass.  However, we're interested in the elevation
      // above the solid surface.  Also, the binning was done around
      // zero with enough bins to cover the zLength of the box:
      
      RealType thez =  com.z() - solidZ_  - zLen/2.0 + dz * (j + 0.5);
      bool aboveThresh = false;
      bool foundThresh = false;
      int rloc = 0;
      
      for (unsigned int i = 0; i < nRBins_;  ++i) {
        RealType ther = dr * (i + 0.5);
        if (histo[i][j] >= threshDens_) aboveThresh = true;

        if (aboveThresh && (histo[i][j] <= threshDens_)) {
          rloc = i;
          foundThresh = true;
          aboveThresh = false;
        }

      }
      if (foundThresh) {
        Vector<RealType,2> point;
        point[0] = dr*(rloc+0.5);
        point[1] = thez;
        points.push_back( point );       
      }      
    }

    int numPoints = points.size();

    // Compute the average of the data points.
    Vector<RealType, 2> average = points[0];
    int i0;
    for (i0 = 1; i0 < numPoints; ++i0) {
      average += points[i0];
    }
    RealType invNumPoints = ((RealType)1)/(RealType)numPoints;
    average *= invNumPoints;
    
    DynamicRectMatrix<RealType> mat(4, 4);
    int row, col;
    for (row = 0; row < 4; ++row) {
      for (col = 0; col < 4; ++col){
        mat(row,col) = 0.0;        
      }
    }
    for (int i = 0; i < numPoints; ++i) {
      RealType x = points[i][0];
      RealType y = points[i][1];
      RealType x2 = x*x;
      RealType y2 = y*y;
      RealType xy = x*y;
      RealType r2 = x2+y2;
      RealType xr2 = x*r2;
      RealType yr2 = y*r2;
      RealType r4 = r2*r2;

      mat(0,1) += x;
      mat(0,2) += y;
      mat(0,3) += r2;
      mat(1,1) += x2;
      mat(1,2) += xy;
      mat(1,3) += xr2;
      mat(2,2) += y2;
      mat(2,3) += yr2;
      mat(3,3) += r4;
    }
    mat(0,0) = (RealType)numPoints;

    for (row = 0; row < 4; ++row) {
      for (col = 0; col < row; ++col) {
        mat(row,col) = mat(col,row);
      }
    }

    for (row = 0; row < 4; ++row) {
      for (col = 0; col < 4; ++col) {
        mat(row,col) *= invNumPoints;
      }
    }

    JAMA::Eigenvalue<RealType> eigensystem(mat);
    DynamicRectMatrix<RealType> evects(4, 4);
    DynamicVector<RealType> evals(4);

    eigensystem.getRealEigenvalues(evals);
    eigensystem.getV(evects);

    DynamicVector<RealType> evector = evects.getColumn(0);
    RealType inv = ((RealType)1)/evector[3];  // beware zero divide
    RealType coeff[3];
    for (row = 0; row < 3; ++row) {
      coeff[row] = inv*evector[row];
    }

    Vector<RealType, 2> center;
    
    center[0] = -((RealType)0.5)*coeff[1];
    center[1] = -((RealType)0.5)*coeff[2];
    RealType radius = sqrt(fabs(center[0]*center[0] + center[1]*center[1]
                                - coeff[0]));
    RealType ev0 =  fabs(evals[0]);

    int i1;
    for (i1 = 0; i1 < 100; ++i1) {
      // Update the iterates.
      Vector<RealType, 2> current = center;
      
      // Compute average L, dL/da, dL/db.
      RealType lenAverage = (RealType)0;
      Vector<RealType, 2> derLenAverage = Vector<RealType, 2>(0.0);
      for (i0 = 0; i0 < numPoints; ++i0) {
        Vector<RealType, 2> diff = points[i0] - center;
        RealType length = diff.length();
        if (length > 1e-6) {
          lenAverage += length;
          RealType invLength = ((RealType)1)/length;
          derLenAverage -= invLength*diff;
        }
      }
      lenAverage *= invNumPoints;
      derLenAverage *= invNumPoints;

      center = average + lenAverage*derLenAverage;
      radius = lenAverage;

      Vector<RealType, 2> diff = center - current;
      if (fabs(diff[0]) <= 1e-6 &&  fabs(diff[1]) <= 1e-6) {
        break;
      }
    }

    RealType zCen = center[1];
    RealType rDrop = radius;
    RealType ca;

    if (fabs(zCen) > rDrop) {
      ca = 180.0;
    } else {
    
      if (zCen >= 0.0) {
        ca = 90.0 + asin(zCen/rDrop)*(180.0/M_PI);
      } else {
        ca = 90 - asin(zCen/rDrop)*(180.0/M_PI);
      }
    }

    values_.push_back( ca );
    
  }   
}


Revision:	2037
Committed:	Tue Nov 4 20:16:29 2014 UTC (11 years ago) by gezelter
File size:	9402 byte(s)
Log Message:	Updated to semi-working contact angle 2 using density threshold
#	Content
1	/*
2	* Copyright (c) 2005 The University of Notre Dame. All Rights Reserved.
3	*
4	* The University of Notre Dame grants you ("Licensee") a
5	* non-exclusive, royalty free, license to use, modify and
6	* redistribute this software in source and binary code form, provided
7	* that the following conditions are met:
8	*
9	* 1. Redistributions of source code must retain the above copyright
10	* notice, this list of conditions and the following disclaimer.
11	*
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.
16	*
17	* This software is provided "AS IS," without a warranty of any
18	* kind. All express or implied conditions, representations and
19	* warranties, including any implied warranty of merchantability,
20	* fitness for a particular purpose or non-infringement, are hereby
21	* excluded. The University of Notre Dame and its licensors shall not
22	* be liable for any damages suffered by licensee as a result of
23	* using, modifying or distributing the software or its
24	* derivatives. In no event will the University of Notre Dame or its
25	* licensors be liable for any lost revenue, profit or data, or for
26	* direct, indirect, special, consequential, incidental or punitive
27	* damages, however caused and regardless of the theory of liability,
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, 234107 (2008).
39	* [4] Kuang & Gezelter, J. Chem. Phys. 133, 164101 (2010).
40	* [5] Vardeman, Stocker & Gezelter, J. Chem. Theory Comput. 7, 834 (2011).
41	*/
42
43	#include <algorithm>
44	#include <functional>
45	#include "applications/sequentialProps/ContactAngle2.hpp"
46	#include "utils/simError.h"
47	#include "io/DumpReader.hpp"
48	#include "primitives/Molecule.hpp"
49	#include "utils/NumericConstant.hpp"
50	#include "utils/PhysicalConstants.hpp"
51	#include "math/Eigenvalue.hpp"
52
53	namespace OpenMD {
54
55	ContactAngle2::ContactAngle2(SimInfo* info, const std::string& filename,
56	const std::string& sele, RealType solidZ,
57	RealType threshDens, int nrbins, int nzbins)
58	: SequentialAnalyzer(info, filename), selectionScript_(sele),
59	evaluator_(info), seleMan_(info), solidZ_(solidZ),
60	threshDens_(threshDens), nRBins_(nrbins), nZBins_(nzbins) {
61
62	setOutputName(getPrefix(filename) + ".ca2");
63
64	evaluator_.loadScriptString(sele);
65
66	if (!evaluator_.isDynamic()) {
67	seleMan_.setSelectionSet(evaluator_.evaluate());
68	}
69	}
70
71	void ContactAngle2::doFrame() {
72	StuntDouble* sd;
73	int i;
74
75	// set up the bins for density analysis
76
77	Mat3x3d hmat = info_->getSnapshotManager()->getCurrentSnapshot()->getHmat();
78	RealType len = std::min(hmat(0, 0), hmat(1, 1));
79	RealType zLen = hmat(2,2);
80
81	RealType dr = len / (RealType) nRBins_;
82	RealType dz = zLen / (RealType) nZBins_;
83
84	std::vector<std::vector<RealType> > histo;
85	histo.resize(nRBins_);
86	for (unsigned int i = 0; i < histo.size(); ++i){
87	histo[i].resize(nZBins_);
88	std::fill(histo[i].begin(), histo[i].end(), 0.0);
89	}
90
91	if (evaluator_.isDynamic()) {
92	seleMan_.setSelectionSet(evaluator_.evaluate());
93	}
94
95
96	RealType mtot = 0.0;
97	Vector3d com(V3Zero);
98	RealType mass;
99
100	for (sd = seleMan_.beginSelected(i); sd != NULL;
101	sd = seleMan_.nextSelected(i)) {
102	mass = sd->getMass();
103	mtot += mass;
104	com += sd->getPos() * mass;
105	}
106
107	com /= mtot;
108
109	// now that we have the centroid, we can make cylindrical density maps
110	Vector3d pos;
111	RealType r;
112	RealType z;
113
114	for (sd = seleMan_.beginSelected(i); sd != NULL;
115	sd = seleMan_.nextSelected(i)) {
116	pos = sd->getPos() - com;
117
118	// r goes from zero upwards
119	r = sqrt(pow(pos.x(), 2) + pow(pos.y(), 2));
120	// z is possibly symmetric around 0
121	z = pos.z();
122
123	int whichRBin = int(r / dr);
124	int whichZBin = int( (zLen/2.0 + z) / dz);
125
126	if ((whichRBin < nRBins_) && (whichZBin >= 0) && (whichZBin < nZBins_))
127	histo[whichRBin][whichZBin] += sd->getMass();
128
129	}
130
131	for(unsigned int i = 0 ; i < histo.size(); ++i){
132
133	RealType rL = i * dr;
134	RealType rU = rL + dr;
135	RealType volSlice = NumericConstant::PI * dz * (( rUrU ) - ( rLrL ));
136
137	for (unsigned int j = 0; j < histo[i].size(); ++j) {
138	histo[i][j] *= PhysicalConstants::densityConvert / volSlice;
139	}
140	}
141
142	std::vector<Vector<RealType, 2> > points;
143	points.clear();
144
145	for (unsigned int j = 0; j < nZBins_; ++j) {
146
147	// The z coordinates were measured relative to the selection
148	// center of mass. However, we're interested in the elevation
149	// above the solid surface. Also, the binning was done around
150	// zero with enough bins to cover the zLength of the box:
151
152	RealType thez = com.z() - solidZ_ - zLen/2.0 + dz * (j + 0.5);
153	bool aboveThresh = false;
154	bool foundThresh = false;
155	int rloc = 0;
156
157	for (unsigned int i = 0; i < nRBins_; ++i) {
158	RealType ther = dr * (i + 0.5);
159	if (histo[i][j] >= threshDens_) aboveThresh = true;
160
161	if (aboveThresh && (histo[i][j] <= threshDens_)) {
162	rloc = i;
163	foundThresh = true;
164	aboveThresh = false;
165	}
166
167	}
168	if (foundThresh) {
169	Vector<RealType,2> point;
170	point[0] = dr*(rloc+0.5);
171	point[1] = thez;
172	points.push_back( point );
173	}
174	}
175
176	int numPoints = points.size();
177
178	// Compute the average of the data points.
179	Vector<RealType, 2> average = points[0];
180	int i0;
181	for (i0 = 1; i0 < numPoints; ++i0) {
182	average += points[i0];
183	}
184	RealType invNumPoints = ((RealType)1)/(RealType)numPoints;
185	average *= invNumPoints;
186
187	DynamicRectMatrix<RealType> mat(4, 4);
188	int row, col;
189	for (row = 0; row < 4; ++row) {
190	for (col = 0; col < 4; ++col){
191	mat(row,col) = 0.0;
192	}
193	}
194	for (int i = 0; i < numPoints; ++i) {
195	RealType x = points[i][0];
196	RealType y = points[i][1];
197	RealType x2 = x*x;
198	RealType y2 = y*y;
199	RealType xy = x*y;
200	RealType r2 = x2+y2;
201	RealType xr2 = x*r2;
202	RealType yr2 = y*r2;
203	RealType r4 = r2*r2;
204
205	mat(0,1) += x;
206	mat(0,2) += y;
207	mat(0,3) += r2;
208	mat(1,1) += x2;
209	mat(1,2) += xy;
210	mat(1,3) += xr2;
211	mat(2,2) += y2;
212	mat(2,3) += yr2;
213	mat(3,3) += r4;
214	}
215	mat(0,0) = (RealType)numPoints;
216
217	for (row = 0; row < 4; ++row) {
218	for (col = 0; col < row; ++col) {
219	mat(row,col) = mat(col,row);
220	}
221	}
222
223	for (row = 0; row < 4; ++row) {
224	for (col = 0; col < 4; ++col) {
225	mat(row,col) *= invNumPoints;
226	}
227	}
228
229	JAMA::Eigenvalue<RealType> eigensystem(mat);
230	DynamicRectMatrix<RealType> evects(4, 4);
231	DynamicVector<RealType> evals(4);
232
233	eigensystem.getRealEigenvalues(evals);
234	eigensystem.getV(evects);
235
236	DynamicVector<RealType> evector = evects.getColumn(0);
237	RealType inv = ((RealType)1)/evector[3]; // beware zero divide
238	RealType coeff[3];
239	for (row = 0; row < 3; ++row) {
240	coeff[row] = inv*evector[row];
241	}
242
243	Vector<RealType, 2> center;
244
245	center[0] = -((RealType)0.5)*coeff[1];
246	center[1] = -((RealType)0.5)*coeff[2];
247	RealType radius = sqrt(fabs(center[0]center[0] + center[1]center[1]
248	- coeff[0]));
249	RealType ev0 = fabs(evals[0]);
250
251	int i1;
252	for (i1 = 0; i1 < 100; ++i1) {
253	// Update the iterates.
254	Vector<RealType, 2> current = center;
255
256	// Compute average L, dL/da, dL/db.
257	RealType lenAverage = (RealType)0;
258	Vector<RealType, 2> derLenAverage = Vector<RealType, 2>(0.0);
259	for (i0 = 0; i0 < numPoints; ++i0) {
260	Vector<RealType, 2> diff = points[i0] - center;
261	RealType length = diff.length();
262	if (length > 1e-6) {
263	lenAverage += length;
264	RealType invLength = ((RealType)1)/length;
265	derLenAverage -= invLength*diff;
266	}
267	}
268	lenAverage *= invNumPoints;
269	derLenAverage *= invNumPoints;
270
271	center = average + lenAverage*derLenAverage;
272	radius = lenAverage;
273
274	Vector<RealType, 2> diff = center - current;
275	if (fabs(diff[0]) <= 1e-6 && fabs(diff[1]) <= 1e-6) {
276	break;
277	}
278	}
279
280	RealType zCen = center[1];
281	RealType rDrop = radius;
282	RealType ca;
283
284	if (fabs(zCen) > rDrop) {
285	ca = 180.0;
286	} else {
287
288	if (zCen >= 0.0) {
289	ca = 90.0 + asin(zCen/rDrop)*(180.0/M_PI);
290	} else {
291	ca = 90 - asin(zCen/rDrop)*(180.0/M_PI);
292	}
293	}
294
295	values_.push_back( ca );
296
297	}
298	}
299
300