/[escript]/trunk/paso/src/Pattern_coupling.c
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Annotation of /trunk/paso/src/Pattern_coupling.c

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1 jfenwick 1851
2     /*******************************************************
3     *
4 jfenwick 2548 * Copyright (c) 2003-2009 by University of Queensland
5 jfenwick 1851 * Earth Systems Science Computational Center (ESSCC)
6     * http://www.uq.edu.au/esscc
7     *
8     * Primary Business: Queensland, Australia
9     * Licensed under the Open Software License version 3.0
10     * http://www.opensource.org/licenses/osl-3.0.php
11     *
12     *******************************************************/
13    
14    
15     /**********************************************************************/
16    
17     /* Paso: Pattern: Paso_Pattern_coupling
18    
19     searches for a maximal independent set MIS in the matrix pattern
20     vertices in the maximal independent set are marked in mis_marker
21     nodes to be considered are marked by -1 on the input in mis_marker
22    
23     */
24     /**********************************************************************/
25    
26     /* Copyrights by ACcESS Australia 2003,2004,2005 */
27     /* Author: artak@uq.edu.au */
28    
29     /**************************************************************/
30    
31 phornby 1914 #include "PasoUtil.h"
32 phornby 1913 #include "Pattern_coupling.h"
33 artak 2381 #include <limits.h>
34 jfenwick 1851
35    
36     /***************************************************************/
37    
38     #define IS_AVAILABLE -1
39 artak 2442 #define IS_IN_SET -3 /* Week connection */
40     #define IS_REMOVED -4 /* strong */
41 jfenwick 1851
42 artak 1931 void Paso_Pattern_coup(Paso_SparseMatrix* A, index_t* mis_marker, double threshold) {
43 jfenwick 1851
44 artak 1881 dim_t i,j;
45 artak 2442 /*double sum;*/
46 artak 2107 index_t iptr,*index,*where_p,*diagptr;
47     bool_t passed=FALSE;
48 artak 1954 dim_t n=A->numRows;
49 artak 2107 diagptr=MEMALLOC(n,index_t);
50 artak 2122
51 jfenwick 1851 if (A->pattern->type & PATTERN_FORMAT_SYM) {
52 artak 2159 Paso_setError(TYPE_ERROR,"Paso_Pattern_coup: symmetric matrix pattern is not supported yet");
53 jfenwick 1851 return;
54     }
55    
56 artak 2107 #pragma omp parallel for private(i) schedule(static)
57     for (i=0;i<n;++i)
58     if(mis_marker[i]==IS_AVAILABLE)
59     mis_marker[i]=IS_IN_SET;
60 jfenwick 1851
61 artak 2107 #pragma omp parallel for private(i,index,where_p) schedule(static)
62     for (i=0;i<n;++i) {
63     diagptr[i]=A->pattern->ptr[i];
64     index=&(A->pattern->index[diagptr[i]]);
65     where_p=(index_t*)bsearch(&i,
66     index,
67     A->pattern->ptr[i + 1]-A->pattern->ptr[i],
68     sizeof(index_t),
69     Paso_comparIndex);
70     if (where_p==NULL) {
71 artak 2159 Paso_setError(VALUE_ERROR, "Paso_Pattern_coup: main diagonal element missing.");
72 artak 2107 } else {
73     diagptr[i]+=(index_t)(where_p-index);
74     }
75     }
76    
77    
78    
79     /*This loop cannot be parallelized, as order matters here.*/
80     for (i=0;i<n;++i) {
81     if (mis_marker[i]==IS_IN_SET) {
82     for (iptr=A->pattern->ptr[i];iptr<A->pattern->ptr[i+1]; ++iptr) {
83     j=A->pattern->index[iptr];
84     if (j!=i && ABS(A->val[iptr])>=threshold*ABS(A->val[diagptr[i]])) {
85     mis_marker[j]=IS_REMOVED;
86     }
87     }
88     }
89     }
90    
91    
92    
93     /*This loop cannot be parallelized, as order matters here.*/
94     for (i=0;i<n;i++) {
95     if (mis_marker[i]==IS_REMOVED) {
96 artak 2442 passed=TRUE;
97 artak 2107 for (iptr=A->pattern->ptr[i];iptr<A->pattern->ptr[i+1]; ++iptr) {
98     j=A->pattern->index[iptr];
99     if (mis_marker[j]==IS_IN_SET) {
100     if ((A->val[iptr]/A->val[diagptr[i]])>=-threshold) {
101     passed=TRUE;
102 artak 1902 }
103 artak 2107 else {
104     passed=FALSE;
105     break;
106 artak 1902 }
107 artak 2307 }
108 artak 2442 }
109     if (passed) mis_marker[i]=IS_IN_SET;
110 artak 1902 }
111 artak 2107 }
112 artak 2381 /* This check is to make sure we dont get some nusty rows which were not removed durring coarsening process.*/
113 artak 2122 /* TODO: we have to mechanism that this does not happend at all, and get rid of this 'If'. */
114 artak 2442 /*#pragma omp parallel for private(i,iptr,j,sum) schedule(static)
115 artak 2122 for (i=0;i<n;i++) {
116     if (mis_marker[i]==IS_REMOVED) {
117     sum=0;
118     for (iptr=A->pattern->ptr[i];iptr<A->pattern->ptr[i+1]; ++iptr) {
119     j=A->pattern->index[iptr];
120     if (mis_marker[j]==IS_REMOVED)
121     sum+=A->val[iptr];
122     }
123 artak 2381 if(ABS(sum)<1.e-25)
124 artak 2122 mis_marker[i]=IS_IN_SET;
125     }
126     }
127 artak 2442 */
128 artak 2122
129 jfenwick 1851 /* swap to TRUE/FALSE in mis_marker */
130     #pragma omp parallel for private(i) schedule(static)
131 artak 2107 for (i=0;i<n;i++) mis_marker[i]=(mis_marker[i]!=IS_IN_SET);
132    
133     MEMFREE(diagptr);
134 jfenwick 1851 }
135 artak 1890
136 artak 2381 /*
137     * Ruge-Stueben strength of connection mask.
138     *
139     */
140     void Paso_Pattern_RS(Paso_SparseMatrix* A, index_t* mis_marker, double theta)
141     {
142     dim_t i,n,j;
143     index_t iptr;
144     double threshold,min_offdiagonal;
145    
146     Paso_Pattern *out=NULL;
147    
148     Paso_IndexList* index_list=NULL;
149 artak 1890
150 artak 2381 index_list=TMPMEMALLOC(A->pattern->numOutput,Paso_IndexList);
151     if (! Paso_checkPtr(index_list)) {
152     #pragma omp parallel for private(i) schedule(static)
153     for(i=0;i<A->pattern->numOutput;++i) {
154     index_list[i].extension=NULL;
155     index_list[i].n=0;
156     }
157     }
158    
159    
160     n=A->numRows;
161     if (A->pattern->type & PATTERN_FORMAT_SYM) {
162     Paso_setError(TYPE_ERROR,"Paso_Pattern_RS: symmetric matrix pattern is not supported yet");
163     return;
164     }
165 artak 2475 #pragma omp parallel for private(i,iptr,min_offdiagonal,threshold,j) schedule(static)
166 artak 2381 for (i=0;i<n;++i) {
167     if(mis_marker[i]==IS_AVAILABLE) {
168     min_offdiagonal = DBL_MAX;
169     for (iptr=A->pattern->ptr[i];iptr<A->pattern->ptr[i+1]; ++iptr) {
170     if(A->pattern->index[iptr] != i){
171     min_offdiagonal = MIN(min_offdiagonal,A->val[iptr]);
172     }
173     }
174 artak 2475
175 artak 2381 threshold = theta*min_offdiagonal;
176     for (iptr=A->pattern->ptr[i];iptr<A->pattern->ptr[i+1]; ++iptr) {
177     j=A->pattern->index[iptr];
178     if(A->val[iptr]<=threshold) {
179     if(j!=i) {
180     Paso_IndexList_insertIndex(&(index_list[i]),j);
181 artak 2539 /*Paso_IndexList_insertIndex(&(index_list[j]),i);*/
182 artak 2381 }
183     }
184     }
185     }
186     }
187    
188 artak 2475
189 artak 2381 out=Paso_IndexList_createPattern(0, A->pattern->numOutput,index_list,0,A->pattern->numInput,0);
190    
191     /* clean up */
192     if (index_list!=NULL) {
193     #pragma omp parallel for private(i) schedule(static)
194     for(i=0;i<A->pattern->numOutput;++i) Paso_IndexList_free(index_list[i].extension);
195     }
196     TMPMEMFREE(index_list);
197    
198 artak 2450 /*Paso_Pattern_mis(out,mis_marker);*/
199     Paso_Pattern_greedy(out,mis_marker);
200 artak 2381 }
201    
202     void Paso_Pattern_Aggregiation(Paso_SparseMatrix* A, index_t* mis_marker, double theta)
203     {
204     dim_t i,j,n;
205     index_t iptr;
206     double diag,eps_Aii,val;
207     double* diags;
208    
209    
210     Paso_Pattern *out=NULL;
211     Paso_IndexList* index_list=NULL;
212    
213     n=A->numRows;
214     diags=MEMALLOC(n,double);
215    
216     index_list=TMPMEMALLOC(A->pattern->numOutput,Paso_IndexList);
217     if (! Paso_checkPtr(index_list)) {
218     #pragma omp parallel for private(i) schedule(static)
219     for(i=0;i<A->pattern->numOutput;++i) {
220     index_list[i].extension=NULL;
221     index_list[i].n=0;
222     }
223     }
224    
225     if (A->pattern->type & PATTERN_FORMAT_SYM) {
226 artak 2447 Paso_setError(TYPE_ERROR,"Paso_Pattern_Aggregiation: symmetric matrix pattern is not supported yet");
227 artak 2381 return;
228     }
229    
230    
231 artak 2539 #pragma omp parallel for private(i,iptr) reduction(+:diag) schedule(static)
232 artak 2381 for (i=0;i<n;++i) {
233     diag = 0;
234     for (iptr=A->pattern->ptr[i];iptr<A->pattern->ptr[i+1]; ++iptr) {
235 artak 2447 if(A->pattern->index[iptr] == i){
236 artak 2381 diag+=A->val[iptr];
237     }
238     }
239     diags[i]=ABS(diag);
240     }
241    
242    
243     #pragma omp parallel for private(i,iptr,j,val,eps_Aii) schedule(static)
244     for (i=0;i<n;++i) {
245     if (mis_marker[i]==IS_AVAILABLE) {
246     eps_Aii = theta*theta*diags[i];
247     val=0.;
248     for (iptr=A->pattern->ptr[i];iptr<A->pattern->ptr[i+1]; ++iptr) {
249     j=A->pattern->index[iptr];
250     val=A->val[iptr];
251     if(j!= i) {
252     if(val*val>=eps_Aii * diags[j]) {
253     Paso_IndexList_insertIndex(&(index_list[i]),j);
254     }
255     }
256     }
257     }
258     }
259    
260     out=Paso_IndexList_createPattern(0, A->pattern->numOutput,index_list,0,A->pattern->numInput,0);
261    
262     /* clean up */
263     if (index_list!=NULL) {
264     #pragma omp parallel for private(i) schedule(static)
265     for(i=0;i<A->pattern->numOutput;++i) Paso_IndexList_free(index_list[i].extension);
266     }
267    
268     TMPMEMFREE(index_list);
269     MEMFREE(diags);
270    
271 artak 2475
272 artak 2450 /*Paso_Pattern_mis(out,mis_marker);*/
273     Paso_Pattern_greedy(out,mis_marker);
274 artak 2381
275 artak 2450 }
276 artak 2381
277 artak 2450 /* Greedy algorithm */
278     void Paso_Pattern_greedy(Paso_Pattern* pattern, index_t* mis_marker) {
279    
280     dim_t i,j;
281     /*double sum;*/
282     index_t iptr;
283     bool_t passed=FALSE;
284     dim_t n=pattern->numOutput;
285    
286     if (pattern->type & PATTERN_FORMAT_SYM) {
287     Paso_setError(TYPE_ERROR,"Paso_Pattern_greedy: symmetric matrix pattern is not supported yet");
288     return;
289     }
290    
291 artak 2475 /* We do not need this loop if we set IS_IN_MIS=IS_AVAILABLE. */
292 artak 2450 #pragma omp parallel for private(i) schedule(static)
293     for (i=0;i<n;++i)
294     if(mis_marker[i]==IS_AVAILABLE)
295     mis_marker[i]=IS_IN_SET;
296    
297    
298     for (i=0;i<n;++i) {
299     if (mis_marker[i]==IS_IN_SET) {
300     for (iptr=pattern->ptr[i];iptr<pattern->ptr[i+1]; ++iptr) {
301     j=pattern->index[iptr];
302     mis_marker[j]=IS_REMOVED;
303     }
304     }
305     }
306    
307    
308    
309     for (i=0;i<n;i++) {
310     if (mis_marker[i]==IS_REMOVED) {
311     passed=TRUE;
312     for (iptr=pattern->ptr[i];iptr<pattern->ptr[i+1]; ++iptr) {
313     j=pattern->index[iptr];
314     if (mis_marker[j]==IS_REMOVED) {
315     passed=TRUE;
316     }
317     else {
318     passed=FALSE;
319     break;
320     }
321     }
322     }
323     if (passed) mis_marker[i]=IS_IN_SET;
324     }
325    
326     /* swap to TRUE/FALSE in mis_marker */
327     #pragma omp parallel for private(i) schedule(static)
328     for (i=0;i<n;i++) mis_marker[i]=(mis_marker[i]!=IS_IN_SET);
329    
330 artak 2381 }
331    
332    
333 artak 2475 void Paso_Pattern_greedy_color(Paso_Pattern* pattern, index_t* mis_marker) {
334 artak 2381
335 artak 2475 dim_t i,j;
336     /*double sum;*/
337     index_t iptr;
338     index_t num_colors;
339     index_t* colorOf;
340     register index_t color;
341     bool_t passed=FALSE;
342     dim_t n=pattern->numOutput;
343 artak 2381
344 artak 2475
345     colorOf=MEMALLOC(n,index_t);
346    
347     if (pattern->type & PATTERN_FORMAT_SYM) {
348     Paso_setError(TYPE_ERROR,"Paso_Pattern_greedy: symmetric matrix pattern is not supported yet");
349     return;
350     }
351    
352     Paso_Pattern_color(pattern,&num_colors,colorOf);
353    
354     /* We do not need this loop if we set IS_IN_MIS=IS_AVAILABLE. */
355     #pragma omp parallel for private(i) schedule(static)
356     for (i=0;i<n;++i)
357     if(mis_marker[i]==IS_AVAILABLE)
358     mis_marker[i]=IS_IN_SET;
359    
360     #pragma omp barrier
361     for (color=0;color<num_colors;++color) {
362     #pragma omp parallel for schedule(static) private(i,iptr,j)
363     for (i=0;i<n;++i) {
364     if (colorOf[i]==color) {
365     if (mis_marker[i]==IS_IN_SET) {
366     for (iptr=pattern->ptr[i];iptr<pattern->ptr[i+1]; ++iptr) {
367     j=pattern->index[iptr];
368     if (colorOf[j]<color)
369     mis_marker[j]=IS_REMOVED;
370     }
371     }
372     }
373     }
374     }
375    
376    
377     #pragma omp barrier
378     for (color=0;color<num_colors;++color) {
379     #pragma omp parallel for schedule(static) private(i,iptr,j)
380     for (i=0;i<n;i++) {
381     if (colorOf[i]==color) {
382     if (mis_marker[i]==IS_REMOVED) {
383     passed=TRUE;
384     for (iptr=pattern->ptr[i];iptr<pattern->ptr[i+1]; ++iptr) {
385     j=pattern->index[iptr];
386     if (colorOf[j]<color && passed) {
387     if (mis_marker[j]==IS_REMOVED) {
388     passed=TRUE;
389     }
390     else {
391     passed=FALSE;
392     /*break;*/
393     }
394     }
395     }
396     }
397     if (passed) mis_marker[i]=IS_IN_SET;
398     }
399     }
400     }
401    
402     /* swap to TRUE/FALSE in mis_marker */
403     #pragma omp parallel for private(i) schedule(static)
404     for (i=0;i<n;i++) mis_marker[i]=(mis_marker[i]!=IS_IN_SET);
405    
406     MEMFREE(colorOf);
407     }
408    
409    
410    
411 jfenwick 1851 #undef IS_AVAILABLE
412 artak 1975 #undef IS_IN_SET
413     #undef IS_REMOVED

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