Blame view

stim/biomodels/network.h 15.6 KB
df036f4c   David Mayerich   added the network...
1
2
3
  #ifndef STIM_NETWORK_H
  #define STIM_NETWORK_H
  
7f27eafa   David Mayerich   simplified the st...
4
  #include <stdlib.h>
9c97e126   David Mayerich   added an axis-ali...
5
  #include <assert.h>
7f27eafa   David Mayerich   simplified the st...
6
7
8
9
10
  #include <sstream>
  #include <fstream>
  #include <algorithm>
  #include <string.h>
  #include <math.h>
c61fd046   David Mayerich   fixed vessel mode...
11
  #include <stim/math/vector.h>
5687cf1b   Cherub P. Harder   Added #include <s...
12
  #include <stim/visualization/obj.h>
58ee2b21   David Mayerich   incorporated stim...
13
  #include <stim/visualization/cylinder.h>
df036f4c   David Mayerich   added the network...
14
  #include <ANN/ANN.h>
7f27eafa   David Mayerich   simplified the st...
15
16
  #include <boost/tuple/tuple.hpp>
  
df036f4c   David Mayerich   added the network...
17
18
  
  namespace stim{
7f27eafa   David Mayerich   simplified the st...
19
20
21
22
23
  /** This is the a class that interfaces with gl_spider in order to store the currently
   *   segmented network. The following data is stored and can be extracted:
   *   1)Network geometry and centerline.
   *   2)Network connectivity (a graph of nodes and edges), reconstructed using ANN library.
  */
df036f4c   David Mayerich   added the network...
24
  
df036f4c   David Mayerich   added the network...
25
26
27
28
  
  template<typename T>
  class network{
  
7f27eafa   David Mayerich   simplified the st...
29
30
  	///Each edge is a fiber with two nodes.
  	///Each node is an in index to the endpoint of the fiber in the nodes array.
58ee2b21   David Mayerich   incorporated stim...
31
  	class edge : public cylinder<T>
7f27eafa   David Mayerich   simplified the st...
32
33
34
  	{
  		public:
  		unsigned v[2];		//unique id's designating the starting and ending
7c43b7f9   pranathivemuri   return resampled ...
35
  		// default constructor
58ee2b21   David Mayerich   incorporated stim...
36
  		 edge() : cylinder<T>(){v[1] = -1; v[0] = -1;}
7f27eafa   David Mayerich   simplified the st...
37
  		/// Constructor - creates an edge from a list of points by calling the stim::fiber constructor
e376212f   David Mayerich   added support for...
38
  
3800c27f   David Mayerich   added code to sub...
39
  		///@param p is an array of positions in space
58ee2b21   David Mayerich   incorporated stim...
40
  		edge(std::vector< stim::vec<T> > p) : cylinder<T>(p){}
3800c27f   David Mayerich   added code to sub...
41
42
  
  		/// Copy constructor creates an edge from a fiber
58ee2b21   David Mayerich   incorporated stim...
43
  		edge(stim::cylinder<T> f) : cylinder<T>(f) {}
3800c27f   David Mayerich   added code to sub...
44
45
46
  
  		/// Resamples an edge by calling the fiber resampling function
  		edge resample(T spacing){
58ee2b21   David Mayerich   incorporated stim...
47
  			edge e(cylinder<T>::resample(spacing));	//call the fiber->edge constructor
3800c27f   David Mayerich   added code to sub...
48
49
50
51
52
  			e.v[0] = v[0];					//copy the vertex data
  			e.v[1] = v[1];
  
  			return e;						//return the new edge
  		}
9c97e126   David Mayerich   added an axis-ali...
53
  
7f27eafa   David Mayerich   simplified the st...
54
  		/// Output the edge information as a string
df036f4c   David Mayerich   added the network...
55
56
  		std::string str(){
  			std::stringstream ss;
58ee2b21   David Mayerich   incorporated stim...
57
  			ss<<"("<<cylinder<T>::size()<<")\tl = "<<length()<<"\t"<<v[0]<<"----"<<v[1];
df036f4c   David Mayerich   added the network...
58
59
  			return ss.str();
  		}
df036f4c   David Mayerich   added the network...
60
  
9c97e126   David Mayerich   added an axis-ali...
61
62
  	};
  
7f27eafa   David Mayerich   simplified the st...
63
64
65
66
67
68
  	///Node class that stores the physical position of the node as well as the edges it is connected to (edges that connect to it), As well as any additional data necessary.
  	class vertex : public stim::vec<T>
  	{
  		public:
  			//std::vector<unsigned int> edges;		//indices of edges connected to this node.
  			std::vector<unsigned int> e[2];			//indices of edges going out (e[0]) and coming in (e[1])
df480014   pranathivemuri   added in comments...
69
  			//stim::vec<T> p;						//position of this node in physical space.
7f27eafa   David Mayerich   simplified the st...
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
  
  			//constructor takes a stim::vec
  			vertex(stim::vec<T> p) : stim::vec<T>(p){}
  
  			/// Output the vertex information as a string
  			std::string	str(){
  				std::stringstream ss;
  				ss<<"\t(x, y, z) = "<<stim::vec<T>::str();
  
  				if(e[0].size() > 0){
  					ss<<"\t> ";
  					for(unsigned int o = 0; o < e[0].size(); o++)
  						ss<<e[0][o]<<" ";
  				}
  				if(e[1].size() > 0){
  					ss<<"\t< ";
  					for(unsigned int i = 0; i < e[1].size(); i++)
  						ss<<e[1][i]<<" ";
  				}
df036f4c   David Mayerich   added the network...
89
  
7f27eafa   David Mayerich   simplified the st...
90
  				return ss.str();
df036f4c   David Mayerich   added the network...
91
  			}
9c97e126   David Mayerich   added an axis-ali...
92
  
fe0c7539   pranathivemuri   added functions t...
93
  
df036f4c   David Mayerich   added the network...
94
95
  	};
  
9c97e126   David Mayerich   added an axis-ali...
96
  protected:
df036f4c   David Mayerich   added the network...
97
  
7f27eafa   David Mayerich   simplified the st...
98
99
  	std::vector<edge> E;       //list of edges
  	std::vector<vertex> V;	    //list of vertices.
9c97e126   David Mayerich   added an axis-ali...
100
101
  
  public:
df036f4c   David Mayerich   added the network...
102
  
7f27eafa   David Mayerich   simplified the st...
103
104
105
  	///Returns the number of edges in the network.
  	unsigned int edges(){
  		return E.size();
df036f4c   David Mayerich   added the network...
106
107
  	}
  
7f27eafa   David Mayerich   simplified the st...
108
109
110
  	///Returns the number of nodes in the network.
  	unsigned int vertices(){
  		return V.size();
df036f4c   David Mayerich   added the network...
111
112
  	}
  
fe0c7539   pranathivemuri   added functions t...
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
  	std::vector<vertex> operator*(T s){
  		for (unsigned i=0; i< vertices; i ++ ){
  			V[i] = V[i] * s;
  		}
  		return V;
  	}
  
  	std::vector<vertex> operator*(vec<T> s){
  		for (unsigned i=0; i< vertices; i ++ ){
  			for (unsigned dim = 0 ; dim< 3; dim ++){
  				V[i][dim] = V[i][dim] * s[dim];
  			}
  		}
  		return V;
  	}
  
  	// Returns an average of fiber/edge lengths in the network
  	double Lengths(){
  		stim::vec<T> L;double sumLength = 0;
  		for(unsigned e = 0; e < E.size(); e++){				//for each edge in the network
  			L.push_back(E[e].length());						//append the edge length
  			sumLength = sumLength + E[e].length();
  		}
  		double avg = sumLength / E.size();
  		return avg;
  	}
  
  
  	// Returns an average of tortuosities in the network
  	double Tortuosities(){
  		stim::vec<T> t;
  		stim::vec<T> id1, id2;                        // starting and ending vertices of the edge
  		//std::vector< stim::vec<T> > vert;	             // list of visited vertices
  		//std::vector<stim::vec<T>>::iterator it;			//create an iterator for searching the id2vert array
  		//std::vector<unsigned> daughters;               // to count number of daughter vessels at branch points
  		//stim::vec<T> visitedVert;
  		//unsigned visited;
  		double distance;double tortuosity;double sumTortuosity = 0;
  		for(unsigned e = 0; e < E.size(); e++){				//for each edge in the network
  			id1 = E[e][0];									//get the edge starting point
  			id2 = E[e][E[e].size() - 1];					//get the edge ending point
  			distance = (id1 - id2).len();                   //displacement between the starting and ending points
  			//it = find(vert.begin(), vert.end(), id1);	    //look for the first node has a daughter vessel already
  			//visitedVert = std::distance(vert.begin(), it);    //index where it already exists
  			//if(visitedVert == id1){
  			//	visited += 1;
  			//	daughters[e] = visited;
  			//}
  			//else{
  			//	vert.push_back(id1);
  			//	daughters[e] = 1;
  			//}
  			if(distance > 0){
  				tortuosity = E[e].length()/	distance	;		// tortuoisty = edge length / edge displacement
  			}
  			else{
  				tortuosity = 0;}
  			t.push_back(tortuosity);
  			sumTortuosity += tortuosity;
  		}
  		double avg = sumTortuosity / E.size();
  		//std::cout<<"number of unique branch points"<<daughters.size()<<std::endl;
  		return avg;
  	}
  
  
58ee2b21   David Mayerich   incorporated stim...
179
  	stim::cylinder<T> get_cylinder(unsigned f){
3800c27f   David Mayerich   added code to sub...
180
181
182
  		return E[f];					//return the specified edge (casting it to a fiber)
  	}
  
7f27eafa   David Mayerich   simplified the st...
183
184
  	//load a network from an OBJ file
  	void load_obj(std::string filename){
e376212f   David Mayerich   added support for...
185
  
7f27eafa   David Mayerich   simplified the st...
186
187
  		stim::obj<T> O;			//create an OBJ object
  		O.load(filename);		//load the OBJ file as an object
df036f4c   David Mayerich   added the network...
188
  
7f27eafa   David Mayerich   simplified the st...
189
  		std::vector<unsigned> id2vert;	//this list stores the OBJ vertex ID associated with each network vertex
df036f4c   David Mayerich   added the network...
190
  
4df9ec0e   pranathivemuri   compare networks ...
191
  		unsigned i[2];					//temporary, IDs associated with the first and last points in an OBJ line
df036f4c   David Mayerich   added the network...
192
  
7f27eafa   David Mayerich   simplified the st...
193
194
  		//for each line in the OBJ object
  		for(unsigned int l = 1; l <= O.numL(); l++){
df036f4c   David Mayerich   added the network...
195
  
7f27eafa   David Mayerich   simplified the st...
196
197
  			std::vector< stim::vec<T> > c;				//allocate an array of points for the vessel centerline
  			O.getLine(l, c);							//get the fiber centerline
df036f4c   David Mayerich   added the network...
198
  
3800c27f   David Mayerich   added code to sub...
199
  			edge new_edge = c;							//create an edge from the given centerline
58ee2b21   David Mayerich   incorporated stim...
200
  			unsigned int I = new_edge.size();			//calculate the number of points on the centerline
df036f4c   David Mayerich   added the network...
201
  
7f27eafa   David Mayerich   simplified the st...
202
203
  			//get the first and last vertex IDs for the line
  			std::vector< unsigned > id;					//create an array to store the centerline point IDs
9c97e126   David Mayerich   added an axis-ali...
204
  			O.getLinei(l, id);							//get the list of point IDs for the line
7f27eafa   David Mayerich   simplified the st...
205
206
  			i[0] = id.front();							//get the OBJ ID for the first element of the line
  			i[1] = id.back();							//get the OBJ ID for the last element of the line
df036f4c   David Mayerich   added the network...
207
  
7f27eafa   David Mayerich   simplified the st...
208
209
  			std::vector<unsigned>::iterator it;			//create an iterator for searching the id2vert array
  			unsigned it_idx;							//create an integer for the id2vert entry index
df036f4c   David Mayerich   added the network...
210
  
7f27eafa   David Mayerich   simplified the st...
211
212
213
214
  			//find out if the nodes for this fiber have already been created
  			it = find(id2vert.begin(), id2vert.end(), i[0]);	//look for the first node
  			it_idx = std::distance(id2vert.begin(), it);
  			if(it == id2vert.end()){							//if i[0] hasn't already been used
4df9ec0e   pranathivemuri   compare networks ...
215
216
217
218
  				vertex new_vertex = new_edge[0];				//create a new vertex, assign it a position
  				new_vertex.e[0].push_back(E.size());			//add the current edge as outgoing
  				new_edge.v[0] = V.size();						//add the new vertex to the edge
  				V.push_back(new_vertex);						//add the new vertex to the vertex list
7f27eafa   David Mayerich   simplified the st...
219
  				id2vert.push_back(i[0]);						//add the ID to the ID->vertex conversion list
df036f4c   David Mayerich   added the network...
220
  			}
7f27eafa   David Mayerich   simplified the st...
221
  			else{												//if the vertex already exists
df480014   pranathivemuri   added in comments...
222
  				V[it_idx].e[0].push_back(E.size());				//add the current edge as outgoing
3800c27f   David Mayerich   added code to sub...
223
  				new_edge.v[0] = it_idx;
df036f4c   David Mayerich   added the network...
224
225
  			}
  
7f27eafa   David Mayerich   simplified the st...
226
227
228
  			it = find(id2vert.begin(), id2vert.end(), i[1]);	//look for the second ID
  			it_idx = std::distance(id2vert.begin(), it);
  			if(it == id2vert.end()){							//if i[1] hasn't already been used
58ee2b21   David Mayerich   incorporated stim...
229
  				vertex new_vertex = new_edge[I-1];							//create a new vertex, assign it a position
3800c27f   David Mayerich   added code to sub...
230
231
232
  				new_vertex.e[1].push_back(E.size());						//add the current edge as incoming
  				new_edge.v[1] = V.size();
  				V.push_back(new_vertex);									//add the new vertex to the vertex list
7f27eafa   David Mayerich   simplified the st...
233
  				id2vert.push_back(i[1]);						//add the ID to the ID->vertex conversion list
df036f4c   David Mayerich   added the network...
234
  			}
7f27eafa   David Mayerich   simplified the st...
235
  			else{												//if the vertex already exists
df480014   pranathivemuri   added in comments...
236
  				V[it_idx].e[1].push_back(E.size());				//add the current edge as incoming
3800c27f   David Mayerich   added code to sub...
237
  				new_edge.v[1] = it_idx;
df036f4c   David Mayerich   added the network...
238
  			}
9c97e126   David Mayerich   added an axis-ali...
239
  
4df9ec0e   pranathivemuri   compare networks ...
240
  			E.push_back(new_edge);								//push the edge to the list
df036f4c   David Mayerich   added the network...
241
  
df036f4c   David Mayerich   added the network...
242
  		}
e376212f   David Mayerich   added support for...
243
244
  	}
  
7f27eafa   David Mayerich   simplified the st...
245
246
  	/// Output the network as a string
  	std::string str(){
e376212f   David Mayerich   added support for...
247
  
7f27eafa   David Mayerich   simplified the st...
248
249
250
251
  		std::stringstream ss;
  		ss<<"Nodes ("<<V.size()<<")--------"<<std::endl;
  		for(unsigned int v = 0; v < V.size(); v++){
  			ss<<"\t"<<v<<V[v].str()<<std::endl;
e376212f   David Mayerich   added support for...
252
253
  		}
  
7f27eafa   David Mayerich   simplified the st...
254
255
256
  		ss<<"Edges ("<<E.size()<<")--------"<<std::endl;
  		for(unsigned e = 0; e < E.size(); e++){
  			ss<<"\t"<<e<<E[e].str()<<std::endl;
df036f4c   David Mayerich   added the network...
257
258
  		}
  
7f27eafa   David Mayerich   simplified the st...
259
  		return ss.str();
df036f4c   David Mayerich   added the network...
260
  	}
3800c27f   David Mayerich   added code to sub...
261
262
  
  	/// This function resamples all fibers in a network given a desired minimum spacing
9c97e126   David Mayerich   added an axis-ali...
263
  	/// @param spacing is the minimum distance between two points on the network
3800c27f   David Mayerich   added code to sub...
264
  	stim::network<T> resample(T spacing){
3800c27f   David Mayerich   added code to sub...
265
266
267
  		stim::network<T> n;					//create a new network that will be an exact copy, with resampled fibers
  		n.V = V;							//copy all vertices
  
4df9ec0e   pranathivemuri   compare networks ...
268
  		n.E.resize(edges());				//allocate space for the edge list
3800c27f   David Mayerich   added code to sub...
269
270
  
  		//copy all fibers, resampling them in the process
4df9ec0e   pranathivemuri   compare networks ...
271
  		for(unsigned e = 0; e < edges(); e++){				//for each edge in the edge list
3800c27f   David Mayerich   added code to sub...
272
  			n.E[e] = E[e].resample(spacing);				//resample the edge and copy it to the new network
3800c27f   David Mayerich   added code to sub...
273
274
  		}
  
4df9ec0e   pranathivemuri   compare networks ...
275
276
277
278
  		return n;							              //return the resampled network
  	}
  
  
4df9ec0e   pranathivemuri   compare networks ...
279
  
9c97e126   David Mayerich   added an axis-ali...
280
  	/// Calculate the total number of points on all edges.
797f8ab0   David Mayerich   cleaned up the st...
281
282
283
284
  	unsigned total_points(){
  		unsigned n = 0;
  		for(unsigned e = 0; e < E.size(); e++)
  			n += E[e].size();
4df9ec0e   pranathivemuri   compare networks ...
285
  		return n;
797f8ab0   David Mayerich   cleaned up the st...
286
  	}
4df9ec0e   pranathivemuri   compare networks ...
287
288
289
290
  
  	// gaussian function
  	float gaussianFunction(float x, float std=25){ return exp(-x/(2*std*std));} // by default std = 25
  
e06b2e0b   pranathivemuri   removed functions...
291
      // stim 3d vector to annpoint of 3 dimensions
797f8ab0   David Mayerich   cleaned up the st...
292
293
294
295
296
297
  	void stim2ann(ANNpoint &a, stim::vec<T> b){
  		a[0] = b[0];
  		a[1] = b[1];
  		a[2] = b[2];
  	}
  
9c97e126   David Mayerich   added an axis-ali...
298
299
300
301
302
303
304
305
306
307
  	/// Calculate the average magnitude across the entire network.
  	/// @param m is the magnitude value to use. The default is 0 (usually radius).
  	T average(unsigned m = 0){
  
  		T M, L;												//allocate space for the total magnitude and length
  		M = L = 0;											//initialize both the initial magnitude and length to zero
  		for(unsigned e = 0; e < E.size(); e++){				//for each edge in the network
  			M += E[e].integrate(m);							//get the integrated magnitude
  			L += E[e].length();								//get the edge length
  		}
4df9ec0e   pranathivemuri   compare networks ...
308
  
9c97e126   David Mayerich   added an axis-ali...
309
310
311
312
313
314
315
316
317
318
319
320
321
  		return M / L;					//return the average magnitude
  	}
  
  	/// This function compares two networks and returns the percentage of the current network that is missing from A.
  
  	/// @param A is the network to compare to - the field is generated for A
  	/// @param sigma is the user-defined tolerance value - smaller values provide a stricter comparison
  	stim::network<T> compare(stim::network<T> A, float sigma){
  
  		stim::network<T> R;								//generate a network storing the result of the comparison
  		R = (*this);									//initialize the result with the current network
  
  		//generate a KD-tree for network A
4df9ec0e   pranathivemuri   compare networks ...
322
323
324
  		float metric = 0.0;                               // initialize metric to be returned after comparing the networks
  		ANNkd_tree* kdt;                                 // initialize a pointer to a kd tree
  		double **c;						                 // centerline (array of double pointers) - points on kdtree must be double
9c97e126   David Mayerich   added an axis-ali...
325
  		unsigned int n_data = A.total_points();          // set the number of points
4df9ec0e   pranathivemuri   compare networks ...
326
327
  		c = (double**) malloc(sizeof(double*) * n_data); // allocate the array pointer
  		for(unsigned int i = 0; i < n_data; i++)		 // allocate space for each point of 3 dimensions
797f8ab0   David Mayerich   cleaned up the st...
328
  			c[i] = (double*) malloc(sizeof(double) * 3);
9c97e126   David Mayerich   added an axis-ali...
329
  
797f8ab0   David Mayerich   cleaned up the st...
330
  		unsigned t = 0;
9c97e126   David Mayerich   added an axis-ali...
331
332
  		for(unsigned e = 0; e < A.E.size(); e++){					//for each edge in the network
  			for(unsigned p = 0; p < A.E[e].size(); p++){			//for each point in the edge
797f8ab0   David Mayerich   cleaned up the st...
333
334
  				for(unsigned d = 0; d < 3; d++){				//for each coordinate
  
9c97e126   David Mayerich   added an axis-ali...
335
  					c[t][d] = A.E[e][p][d];
4df9ec0e   pranathivemuri   compare networks ...
336
  				}
797f8ab0   David Mayerich   cleaned up the st...
337
  				t++;
4df9ec0e   pranathivemuri   compare networks ...
338
  			}
797f8ab0   David Mayerich   cleaned up the st...
339
340
  		}
  
9c97e126   David Mayerich   added an axis-ali...
341
  		//compare each point in the current network to the field produced by A
4df9ec0e   pranathivemuri   compare networks ...
342
343
344
  		ANNpointArray pts = (ANNpointArray)c;           // create an array of data points of type double
  		kdt = new ANNkd_tree(pts, n_data, 3);			// build a KD tree using the annpointarray
  		double eps = 0; // error bound
797f8ab0   David Mayerich   cleaned up the st...
345
346
347
348
349
350
351
352
353
  		ANNdistArray dists = new ANNdist[1];     // near neighbor distances
  		ANNidxArray nnIdx = new ANNidx[1];				// near neighbor indices // allocate near neigh indices
  
  		stim::vec<T> p0, p1;
  		float m0, m1;
  		float M = 0;											//stores the total metric value
  		float l;												//stores the segment length
  		float L = 0;											//stores the total network length
  		ANNpoint queryPt = annAllocPt(3);
9c97e126   David Mayerich   added an axis-ali...
354
355
  		for(unsigned e = 0; e < R.E.size(); e++){					//for each edge in A
  			R.E[e].add_mag(0);									//add a new magnitude for the metric
797f8ab0   David Mayerich   cleaned up the st...
356
  
9c97e126   David Mayerich   added an axis-ali...
357
  			for(unsigned p = 0; p < R.E[e].size(); p++){			//for each point in the edge
797f8ab0   David Mayerich   cleaned up the st...
358
  
9c97e126   David Mayerich   added an axis-ali...
359
  				p1 = R.E[e][p];									//get the next point in the edge
797f8ab0   David Mayerich   cleaned up the st...
360
361
362
  				stim2ann(queryPt, p1);
  				kdt->annkSearch( queryPt, 1, nnIdx, dists, eps);	//find the distance between A and the current network
  				m1 = 1.0f - gaussianFunction(dists[0], sigma);		//calculate the metric value based on the distance
9c97e126   David Mayerich   added an axis-ali...
363
  				R.E[e].set_mag(m1, p, 1);						//set the error for the second point in the segment
797f8ab0   David Mayerich   cleaned up the st...
364
  
797f8ab0   David Mayerich   cleaned up the st...
365
366
367
  			}
  		}
  
9c97e126   David Mayerich   added an axis-ali...
368
  		return R;		//return the resulting network
3800c27f   David Mayerich   added code to sub...
369
  	}
9c97e126   David Mayerich   added an axis-ali...
370
  
b3a38641   David Mayerich   added the ability...
371
372
373
374
  	/// Returns the number of magnitude values stored in each edge. This should be uniform across the network.
  	unsigned nmags(){
  		return E[0].nmags();
  	}
10b95d6e   pranathivemuri   load text file to...
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
  	// split a string in text by the character sep
  	stim::vec<T> split(std::string &text, char sep) 
  	{
  		stim::vec<T> tokens;
  		std::size_t start = 0, end = 0;
  		while ((end = text.find(sep, start)) != std::string::npos) {
  		tokens.push_back(atof(text.substr(start, end - start).c_str()));
  		start = end + 1;
  		}
  		tokens.push_back(atof(text.substr(start).c_str()));
  		return tokens;
  	}
  	// load a network in text file to a network class
  	void load_txt(std::string filename)
  	{
  		std::vector <std::string> file_contents;
  		std::ifstream file(filename);
  		std::string line;
  		std::vector<unsigned> id2vert;	//this list stores the vertex ID associated with each network vertex
  		//for each line in the text file, store them as strings in file_contents
  		while (std::getline(file, line))
  		{
  			std::stringstream ss(line);
  			file_contents.push_back(ss.str());
  		}
  		unsigned int numEdges = atoi(file_contents[0].c_str()); //number of edges in the network
  		unsigned int I = atoi(file_contents[1].c_str()) ;		//calculate the number of points3d on the first edge
  		unsigned int count = 1; unsigned int k = 2; // count is global counter through the file contents, k is for the vertices on the edges
  		// for each edge in the network.
  		for (unsigned int i = 0; i < numEdges; i ++ )
  		{
  			// pre allocate a position vector p with number of points3d on the edge p
  			std::vector< stim::vec<T> > p(0, I);
  			// for each point on the nth edge
  		  for (unsigned int j = k; j < I + k; j++)
  		  {
  			 // split the points3d of floats with separator space and form a float3 position vector out of them
  			  p.push_back(split(file_contents[j], ' '));
  		  }
  			count += p.size() + 1; // increment count to point at the next edge in the network
  			I = atoi(file_contents[count].c_str()); // read in the points3d at the next edge and convert it to an integer
  			k = count + 1;
  			edge new_edge = p; // create an edge with a vector of points3d  on the edge
  			E.push_back(new_edge); // push the edge into the network
  		}
  		unsigned int numVertices = atoi(file_contents[count].c_str()); // this line in the text file gives the number of distinct vertices
  		count = count + 1; // this line of text file gives the first verrtex
  		// push each vertex into V
  		for (unsigned int i = 0; i < numVertices; i ++)
  		{
  			vertex new_vertex = split(file_contents[count], ' ');
  			V.push_back(new_vertex);
  			count += atoi(file_contents[count + 1].c_str()) + 2; // Skip number of edge ids + 2 to point to the next vertex
  		}
  	} // end load_txt function
7f27eafa   David Mayerich   simplified the st...
430
431
  };		//end stim::network class
  };		//end stim namespace
df036f4c   David Mayerich   added the network...
432
  #endif