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1 /*=================================================================
2 * syntax: SPMX = SPARSIFY(MX, THRES)
3 *
4 * SPARSIFY  - sparsify the input matrix, i.e. ignore the values 
5 *                       of the matrix which     are below a threshold
6 *                       
7 *                       Input:  - MX: m-by-n matrix (sparse or full)
8 *                                       - THRES: threshold value (double)
9 *
10 *                       Output: - SPMX: m-by-n sparse matrix only with values 
11 *                                       whose absolut value is above the given threshold
12 *
13 *                       Written by Mirko Visontai (10/24/2003)
14 *=================================================================*/
15
16
17 #include <math.h>
18 #include "mex.h"
19
20 void mexFunction(int nlhs, mxArray *plhs[], int nrhs, const mxArray *prhs[])
21 {
22     /* Declare variable */
23     int i,m,n,nzmax,newnnz,col,processed,passed;
24         int starting_row_index, current_row_index, stopping_row_index;
25     double *in_pr,*in_pi,*out_pr,*out_pi;
26     mwIndex *in_ir,*in_jc,*out_ir,*out_jc;
27         double thres;
28
29     /* Check for proper number of input and output arguments */    
30     if ((nlhs != 1) || (nrhs != 2)){
31                 mexErrMsgTxt("usage: SPMX = SPARSIFY(MX, THRES).");
32     } 
33         /* if matrix is complex threshold the norm of the numbers */
34         if (mxIsComplex(prhs[0])){
35                 /* Check data type of input argument  */
36                 if (mxIsSparse(prhs[0])){
37
38                         /* read input */
39                         in_pr   = mxGetPr(prhs[0]);
40                         in_pi   = mxGetPi(prhs[0]);
41                         in_ir   = mxGetIr(prhs[0]);
42                         in_jc   = mxGetJc(prhs[0]);
43                         nzmax   = mxGetNzmax(prhs[0]);
44                         m               = mxGetM(prhs[0]);
45                         n               = mxGetN(prhs[0]);
46                         thres   = mxGetScalar(prhs[1]);
47
48                         /* Count new nonzeros */
49                         newnnz=0;
50                         for(i=0; i<nzmax; i++){
51                                 if (sqrt(in_pr[i]*in_pr[i] + in_pi[i]*in_pi[i])>thres) {newnnz++;}
52                         }
53
54                         if (newnnz>0){
55                                 /* create output */
56                                 plhs[0]         = mxCreateSparse(m,n,newnnz,mxCOMPLEX);
57                                 if (plhs[0]==NULL)
58                                         mexErrMsgTxt("Could not allocate enough memory!\n");
59                                 out_pr          = mxGetPr(plhs[0]);
60                                 out_pi          = mxGetPr(plhs[0]);
61                                 out_ir          = mxGetIr(plhs[0]);
62                                 out_jc          = mxGetJc(plhs[0]);
63                                 passed          = 0;
64                                 out_jc[0]       = 0;
65                                 for (col=0; col<n; col++){
66                                         starting_row_index = in_jc[col];
67                                         stopping_row_index = in_jc[col+1];
68                                         out_jc[col+1] = out_jc[col];
69                                         if (starting_row_index == stopping_row_index)
70                                                 continue;
71                                         else {
72                                                 for (current_row_index = starting_row_index;
73                                                         current_row_index < stopping_row_index;
74                                                         current_row_index++)  {
75                                                                 if (sqrt(in_pr[current_row_index]*in_pr[current_row_index] + 
76                                                                              in_pi[current_row_index]*in_pi[current_row_index] ) > thres){
77
78                                                                         out_pr[passed]=in_pr[current_row_index];        
79                                                                         out_pi[passed]=in_pi[current_row_index];        
80                                                                         out_ir[passed]=in_ir[current_row_index];        
81                                                                         out_jc[col+1] = out_jc[col+1]+1;
82                                                                         passed++;
83                                                                 }
84                                                 }
85                                         }
86                                 }
87                         }
88                         else{
89                                 plhs[0] = mxCreateSparse(m,n,0,mxCOMPLEX);
90                         }
91                 }
92                 else{ /* for full matrices */
93                         /* read input */
94                         in_pr   = mxGetPr(prhs[0]);
95                         in_pi   = mxGetPr(prhs[0]);
96                         m               = mxGetM(prhs[0]);
97                         n               = mxGetN(prhs[0]);
98                         thres   = mxGetScalar(prhs[1]);
99
100                         /* Count new nonzeros */
101                         newnnz=0;
102                         for(i=0; i<m*n; i++){
103                                 if (sqrt(in_pr[i]*in_pr[i] + in_pi[i]*in_pi[i])>thres) {newnnz++;}
104                         }
105
106                         if (newnnz>0){
107                                 /* create output */
108                                 plhs[0]         = mxCreateSparse(m,n,newnnz,mxCOMPLEX);
109                                 if (plhs[0]==NULL)
110                                         mexErrMsgTxt("Could not allocate enough memory!\n");
111                                 out_pr          = mxGetPr(plhs[0]);
112                                 out_pi          = mxGetPi(plhs[0]);
113                                 out_ir          = mxGetIr(plhs[0]);
114                                 out_jc          = mxGetJc(plhs[0]);
115                                 passed          = 0;
116                                 out_jc[0]       = 0;
117
118                                 for (col=0; col<n; col++){
119                                         out_jc[col+1] = out_jc[col];
120                                         for (current_row_index=0; current_row_index<m; current_row_index++){
121                                                         if (sqrt(in_pr[current_row_index+m*col]*in_pr[current_row_index+m*col] +
122                                                                          in_pi[current_row_index+m*col]*in_pi[current_row_index+m*col]) > thres){
123                                                                 
124                                                                 out_pr[passed]=in_pr[current_row_index+m*col];  
125                                                                 out_ir[passed]=current_row_index;       
126                                                                 out_jc[col+1] = out_jc[col+1]+1;
127                                                                 passed++;
128                                                         }
129                                         }
130                                 }
131                         }
132                         else{
133                                 plhs[0] = mxCreateSparse(m,n,0,mxCOMPLEX);
134                         }
135                 }
136         }
137         else { 
138         /* Check data type of input argument  */
139         if (mxIsSparse(prhs[0])){
140
141                         /* read input */
142                         in_pr   = mxGetPr(prhs[0]);
143                         in_ir   = mxGetIr(prhs[0]);
144                 in_jc   = mxGetJc(prhs[0]);
145                         nzmax   = mxGetNzmax(prhs[0]);
146                         n               = mxGetN(prhs[0]);
147                         m               = mxGetM(prhs[0]);
148                         thres   = mxGetScalar(prhs[1]);
149
150                         /* Count new nonzeros */
151                         newnnz=0;
152                         for(i=0; i<nzmax; i++){
153                                 if ((fabs(in_pr[i]))>thres) {newnnz++;}
154                         }
155
156                         if (newnnz>0){
157                                 /* create output */
158                                 plhs[0]         = mxCreateSparse(m,n,newnnz,mxREAL);
159                                 if (plhs[0]==NULL)
160                                         mexErrMsgTxt("Could not allocate enough memory!\n");
161                                 out_pr          = mxGetPr(plhs[0]);
162                         out_ir          = mxGetIr(plhs[0]);
163                         out_jc          = mxGetJc(plhs[0]);
164                                 passed          = 0;
165                                 out_jc[0]       = 0;
166                                 for (col=0; col<n; col++){
167                                         starting_row_index = in_jc[col];
168                                         stopping_row_index = in_jc[col+1];
169                                         out_jc[col+1] = out_jc[col];
170                                         if (starting_row_index == stopping_row_index)
171                                                 continue;
172                                         else {
173                                                 for (current_row_index = starting_row_index;
174                                                         current_row_index < stopping_row_index;
175                                                         current_row_index++)  {
176                                                                 if (fabs(in_pr[current_row_index])>thres){
177                                                                         out_pr[passed]=in_pr[current_row_index];        
178                                                                         out_ir[passed]=in_ir[current_row_index];        
179                                                                         out_jc[col+1] = out_jc[col+1]+1;
180                                                                         passed++;
181                                                                 }
182                                                 }
183                                         }
184                                 }
185                         }
186                         else{
187                         plhs[0] = mxCreateSparse(m,n,0,mxREAL);
188                         }
189                 }
190                 else{ /* for full matrices */
191                         /* read input */
192                         in_pr   = mxGetPr(prhs[0]);
193                         n               = mxGetN(prhs[0]);
194                         m               = mxGetM(prhs[0]);
195                         thres   = mxGetScalar(prhs[1]);
196
197                         /* Count new nonzeros */
198                         newnnz=0;
199                         for(i=0; i<m*n; i++){
200                                 if ((fabs(in_pr[i]))>thres) {newnnz++;}
201                         }
202
203                         if (newnnz>0){
204                                 /* create output */
205                                 plhs[0]         = mxCreateSparse(m,n,newnnz,mxREAL);
206                                 if (plhs[0]==NULL)
207                                         mexErrMsgTxt("Could not allocate enough memory!\n");
208                                 out_pr          = mxGetPr(plhs[0]);
209                         out_ir          = mxGetIr(plhs[0]);
210                         out_jc          = mxGetJc(plhs[0]);
211                                 passed          = 0;
212                         out_jc[0]       = 0;
213
214                                 for (col=0; col<n; col++){
215                                         out_jc[col+1] = out_jc[col];
216                                         for (current_row_index=0; current_row_index<m; current_row_index++){
217                                                         if (fabs(in_pr[current_row_index+m*col])>thres){
218                                                                 out_pr[passed]=in_pr[current_row_index+m*col];  
219                                                                 out_ir[passed]=current_row_index;       
220                                                                 out_jc[col+1] = out_jc[col+1]+1;
221                                                                 passed++;
222                                                         }
223                                         }
224                                 }
225                         }
226                         else{
227                         plhs[0] = mxCreateSparse(m,n,0,mxREAL);
228                         }
229                 }
230         }
231 }
232