/[escript]/trunk/finley/src/Util.c
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Annotation of /trunk/finley/src/Util.c

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Revision 888 - (hide annotations)
Tue Nov 7 08:31:26 2006 UTC (13 years, 6 months ago) by gross
File MIME type: text/plain
File size: 17172 byte(s)
Problem in Mesh_findMatchingFaces.c fixed:
default tolerance in python interface was set too tight.



1 jgs 150 /*
2 elspeth 616 ************************************************************
3     * Copyright 2006 by ACcESS MNRF *
4     * *
5     * http://www.access.edu.au *
6     * Primary Business: Queensland, Australia *
7     * Licensed under the Open Software License version 3.0 *
8     * http://www.opensource.org/licenses/osl-3.0.php *
9     * *
10     ************************************************************
11 jgs 150 */
12 jgs 82
13     /**************************************************************/
14    
15     /* Some utility routines: */
16    
17     /**************************************************************/
18    
19     /* author: gross@access.edu.au */
20     /* Version: $Id$ */
21    
22     /**************************************************************/
23    
24     #include "Finley.h"
25     #include "Util.h"
26 woo409 757
27 jgs 113 #ifdef _OPENMP
28     #include <omp.h>
29     #endif
30 jgs 82
31     /**************************************************************/
32    
33 jgs 147 /* returns true if any of the values in the short array values is not equalt to Zero */
34    
35     bool_t Finley_Util_anyNonZeroDouble(dim_t N, double* values) {
36     dim_t q;
37     for (q=0;q<N;++q) if (ABS(values[q])>0) return TRUE;
38     return FALSE;
39     }
40     /**************************************************************/
41    
42 jgs 82 /* gathers double values out from in by index: */
43    
44     /* out(1:numData,1:len)=in(1:numData,index(1:len)) */
45    
46 jgs 123 void Finley_Util_Gather_double(dim_t len,index_t* index,dim_t numData,double* in, double * out){
47     dim_t s,i;
48 jgs 82 for (s=0;s<len;s++) {
49     for (i=0;i<numData;i++) {
50     out[INDEX2(i,s,numData)]=in[INDEX2(i,index[s],numData)];
51     }
52     }
53     }
54    
55     /**************************************************************/
56    
57    
58     /* gathers maybelong values out from in by index: */
59    
60     /* out(1:numData,1:len)=in(1:numData,index(1:len)) */
61    
62 jgs 123 void Finley_Util_Gather_int(dim_t len,index_t* index,dim_t numData, index_t* in, index_t * out){
63     dim_t s,i;
64 jgs 82 for (s=0;s<len;s++) {
65     for (i=0;i<numData;i++) {
66     out[INDEX2(i,s,numData)]=in[INDEX2(i,index[s],numData)];
67     }
68     }
69     }
70    
71     /**************************************************************/
72    
73     /* adds a vector in into out using and index. */
74    
75 gross 798 /* out(1:numData,index[p])+=in(1:numData,p) where p = {k=1...len , index[k]<upperBound}*/
76 jgs 82
77 gross 798
78     void Finley_Util_AddScatter(dim_t len,index_t* index,dim_t numData,double* in,double * out, index_t upperBound){
79 jgs 123 dim_t i,s;
80 jgs 82 for (s=0;s<len;s++) {
81     for(i=0;i<numData;i++) {
82 ksteube 799 if( index[s]<upperBound ) {
83     #pragma omp atomic
84 bcumming 751 out[INDEX2(i,index[s],numData)]+=in[INDEX2(i,s,numData)];
85 ksteube 799 }
86 bcumming 751 }
87     }
88 gross 798 }
89 bcumming 751
90 jgs 82 /* multiplies two matrices */
91    
92     /* A(1:A1,1:A2)=B(1:A1,1:B2)*C(1:B2,1:A2) */
93    
94 jgs 123 void Finley_Util_SmallMatMult(dim_t A1,dim_t A2, double* A, dim_t B2, double*B, double* C) {
95     dim_t i,j,s;
96 jgs 82 for (i=0;i<A1*A2;i++) A[i]=0;
97     for (i=0;i<A1;i++) {
98     for (j=0;j<A2;j++) {
99     for (s=0;s<B2;s++) {
100     A[INDEX2(i,j,A1)]+=B[INDEX2(i,s,A1)]*C[INDEX2(s,j,B2)];
101     }
102     }
103     }
104     }
105    
106     /* multiplies a two sets of matries: */
107    
108     /* A(1:A1,1:A2,i)=B(1:A1,1:B2,i)*C(1:B2,1:A2,i) i=1,len */
109    
110 jgs 123 void Finley_Util_SmallMatSetMult(dim_t len,dim_t A1,dim_t A2, double* A, dim_t B2, double*B, double* C) {
111     dim_t q,i,j,s;
112 jgs 82 for (i=0;i<A1*A2*len;i++) A[i]=0;
113     for (q=0;q<len;q++) {
114     for (i=0;i<A1;i++) {
115     for (j=0;j<A2;j++) {
116     for (s=0;s<B2;s++) {
117     A[INDEX3(i,j,q,A1,A2)]+=B[INDEX3(i,s,q,A1,B2)]*C[INDEX3(s,j,q,B2,A2)];
118     }
119     }
120     }
121     }
122     }
123     /* inverts the set of dim x dim matrices A(:,:,1:len) with dim=1,2,3 */
124     /* the determinante is returned. */
125    
126 jgs 123 void Finley_Util_InvertSmallMat(dim_t len,dim_t dim,double* A,double *invA, double* det){
127     dim_t q;
128     register double D,A11,A12,A13,A21,A22,A23,A31,A32,A33;
129 jgs 82
130     switch(dim) {
131     case 1:
132     for (q=0;q<len;q++) {
133 jgs 115 D=A[q];
134 jgs 102 if (ABS(D) > 0 ){
135     det[q]=D;
136     D=1./D;
137 jgs 115 invA[q]=D;
138 jgs 102 } else {
139 jgs 150 Finley_setError(ZERO_DIVISION_ERROR,"__FILE__: Non-regular matrix");
140 jgs 82 return;
141     }
142     }
143     break;
144    
145     case 2:
146     for (q=0;q<len;q++) {
147 jgs 115 A11=A[INDEX3(0,0,q,2,2)];
148     A12=A[INDEX3(0,1,q,2,2)];
149     A21=A[INDEX3(1,0,q,2,2)];
150     A22=A[INDEX3(1,1,q,2,2)];
151 jgs 82
152     D = A11*A22-A12*A21;
153 jgs 102 if (ABS(D) > 0 ){
154     det[q]=D;
155     D=1./D;
156 jgs 115 invA[INDEX3(0,0,q,2,2)]= A22*D;
157     invA[INDEX3(1,0,q,2,2)]=-A21*D;
158     invA[INDEX3(0,1,q,2,2)]=-A12*D;
159     invA[INDEX3(1,1,q,2,2)]= A11*D;
160 jgs 102 } else {
161 jgs 150 Finley_setError(ZERO_DIVISION_ERROR,"__FILE__: Non-regular matrix");
162 jgs 82 return;
163     }
164     }
165     break;
166    
167     case 3:
168     for (q=0;q<len;q++) {
169 jgs 115 A11=A[INDEX3(0,0,q,3,3)];
170     A21=A[INDEX3(1,0,q,3,3)];
171     A31=A[INDEX3(2,0,q,3,3)];
172     A12=A[INDEX3(0,1,q,3,3)];
173     A22=A[INDEX3(1,1,q,3,3)];
174     A32=A[INDEX3(2,1,q,3,3)];
175     A13=A[INDEX3(0,2,q,3,3)];
176     A23=A[INDEX3(1,2,q,3,3)];
177     A33=A[INDEX3(2,2,q,3,3)];
178 jgs 82
179     D = A11*(A22*A33-A23*A32)+ A12*(A31*A23-A21*A33)+A13*(A21*A32-A31*A22);
180 jgs 102 if (ABS(D) > 0 ){
181     det[q] =D;
182     D=1./D;
183 jgs 115 invA[INDEX3(0,0,q,3,3)]=(A22*A33-A23*A32)*D;
184     invA[INDEX3(1,0,q,3,3)]=(A31*A23-A21*A33)*D;
185     invA[INDEX3(2,0,q,3,3)]=(A21*A32-A31*A22)*D;
186     invA[INDEX3(0,1,q,3,3)]=(A13*A32-A12*A33)*D;
187     invA[INDEX3(1,1,q,3,3)]=(A11*A33-A31*A13)*D;
188     invA[INDEX3(2,1,q,3,3)]=(A12*A31-A11*A32)*D;
189     invA[INDEX3(0,2,q,3,3)]=(A12*A23-A13*A22)*D;
190     invA[INDEX3(1,2,q,3,3)]=(A13*A21-A11*A23)*D;
191     invA[INDEX3(2,2,q,3,3)]=(A11*A22-A12*A21)*D;
192 jgs 102 } else {
193 jgs 150 Finley_setError(ZERO_DIVISION_ERROR,"__FILE__: Non-regular matrix");
194 jgs 82 return;
195     }
196     }
197     break;
198    
199     }
200     return;
201     }
202    
203     /* sets the derterminate of a set of dim x dim matrices A(:,:,1:len) with dim=1,2,3 */
204    
205 jgs 123 void Finley_Util_DetOfSmallMat(dim_t len,dim_t dim,double* A, double* det){
206     dim_t q;
207     register double A11,A12,A13,A21,A22,A23,A31,A32,A33;
208 jgs 82
209     switch(dim) {
210     case 1:
211     for (q=0;q<len;q++) {
212 jgs 115 det[q]=A[q];
213 jgs 82 }
214     break;
215    
216     case 2:
217     for (q=0;q<len;q++) {
218 jgs 115 A11=A[INDEX3(0,0,q,2,2)];
219     A12=A[INDEX3(0,1,q,2,2)];
220     A21=A[INDEX3(1,0,q,2,2)];
221     A22=A[INDEX3(1,1,q,2,2)];
222 jgs 82
223     det[q] = A11*A22-A12*A21;
224     }
225     break;
226    
227     case 3:
228     for (q=0;q<len;q++) {
229 jgs 115 A11=A[INDEX3(0,0,q,3,3)];
230     A21=A[INDEX3(1,0,q,3,3)];
231     A31=A[INDEX3(2,0,q,3,3)];
232     A12=A[INDEX3(0,1,q,3,3)];
233     A22=A[INDEX3(1,1,q,3,3)];
234     A32=A[INDEX3(2,1,q,3,3)];
235     A13=A[INDEX3(0,2,q,3,3)];
236     A23=A[INDEX3(1,2,q,3,3)];
237     A33=A[INDEX3(2,2,q,3,3)];
238 jgs 82
239     det[q] = A11*(A22*A33-A23*A32)+ A12*(A31*A23-A21*A33)+A13*(A21*A32-A31*A22);
240     }
241     break;
242    
243     }
244     return;
245     }
246     /* returns the normalized vector Normal[dim,len] orthogonal to A(:,0,q) and A(:,1,q) in the case of dim=3 */
247     /* or the vector A(:,0,q) in the case of dim=2 */
248    
249 jgs 123 void Finley_NormalVector(dim_t len, dim_t dim, dim_t dim1, double* A,double* Normal) {
250     dim_t q;
251     register double A11,A12,CO_A13,A21,A22,CO_A23,A31,A32,CO_A33,length,invlength;
252 jgs 82
253     switch(dim) {
254     case 1:
255 jgs 115 for (q=0;q<len;q++) Normal[q] =1;
256 jgs 82 break;
257     case 2:
258     for (q=0;q<len;q++) {
259 jgs 115 A11=A[INDEX3(0,0,q,2,dim1)];
260     A21=A[INDEX3(1,0,q,2,dim1)];
261 jgs 82 length = sqrt(A11*A11+A21*A21);
262     if (! length>0) {
263 jgs 150 Finley_setError(ZERO_DIVISION_ERROR,"__FILE__: area equals zero.");
264 jgs 82 return;
265     } else {
266     invlength=1./length;
267 jgs 115 Normal[INDEX2(0,q,2)]=A21*invlength;
268     Normal[INDEX2(1,q,2)]=-A11*invlength;
269 jgs 82 }
270     }
271     break;
272     case 3:
273     for (q=0;q<len;q++) {
274 jgs 115 A11=A[INDEX3(0,0,q,3,dim1)];
275     A21=A[INDEX3(1,0,q,3,dim1)];
276     A31=A[INDEX3(2,0,q,3,dim1)];
277     A12=A[INDEX3(0,1,q,3,dim1)];
278     A22=A[INDEX3(1,1,q,3,dim1)];
279     A32=A[INDEX3(2,1,q,3,dim1)];
280 jgs 82 CO_A13=A21*A32-A31*A22;
281     CO_A23=A31*A12-A11*A32;
282     CO_A33=A11*A22-A21*A12;
283     length=sqrt(CO_A13*CO_A13+CO_A23*CO_A23+CO_A33*CO_A33);
284     if (! length>0) {
285 jgs 150 Finley_setError(ZERO_DIVISION_ERROR,"__FILE__: area equals zero.");
286 jgs 82 return;
287     } else {
288     invlength=1./length;
289 jgs 115 Normal[INDEX2(0,q,3)]=CO_A13*invlength;
290     Normal[INDEX2(1,q,3)]=CO_A23*invlength;
291     Normal[INDEX2(2,q,3)]=CO_A33*invlength;
292 jgs 82 }
293    
294     }
295     break;
296    
297     }
298     return;
299     }
300    
301     /* return the length of the vector which is orthogonal to the vectors A(:,0,q) and A(:,1,q) in the case of dim=3 */
302     /* or the vector A(:,0,q) in the case of dim=2 */
303    
304 jgs 123 void Finley_LengthOfNormalVector(dim_t len, dim_t dim, dim_t dim1, double* A,double* length) {
305     dim_t q;
306 jgs 82 double A11,A12,CO_A13,A21,A22,CO_A23,A31,A32,CO_A33;
307    
308     switch(dim) {
309     case 1:
310 jgs 115 for (q=0;q<len;q++) length[q] =1;
311 jgs 82 break;
312     case 2:
313     for (q=0;q<len;q++) {
314 jgs 115 A11=A[INDEX3(0,0,q,2,dim1)];
315     A21=A[INDEX3(1,0,q,2,dim1)];
316 jgs 82 length[q] = sqrt(A11*A11+A21*A21);
317     }
318     break;
319     case 3:
320     for (q=0;q<len;q++) {
321 jgs 115 A11=A[INDEX3(0,0,q,3,dim1)];
322     A21=A[INDEX3(1,0,q,3,dim1)];
323     A31=A[INDEX3(2,0,q,3,dim1)];
324     A12=A[INDEX3(0,1,q,3,dim1)];
325     A22=A[INDEX3(1,1,q,3,dim1)];
326     A32=A[INDEX3(2,1,q,3,dim1)];
327 jgs 82 CO_A13=A21*A32-A31*A22;
328     CO_A23=A31*A12-A11*A32;
329     CO_A33=A11*A22-A21*A12;
330     length[q]=sqrt(CO_A13*CO_A13+CO_A23*CO_A23+CO_A33*CO_A33);
331     }
332     break;
333    
334     }
335     return;
336     }
337    
338     /* inverts the map map of length len */
339     /* there is no range checking! */
340     /* at output Map[invMap[i]]=i for i=0:lenInvMap */
341    
342 jgs 123 void Finley_Util_InvertMap(dim_t lenInvMap, index_t* invMap,dim_t lenMap, index_t* Map) {
343     dim_t i;
344 jgs 82 for (i=0;i<lenInvMap;i++) invMap[i]=0;
345     for (i=0;i<lenMap;i++) {
346     if (Map[i]>=0) invMap[Map[i]]=i;
347     }
348     }
349    
350     /* orders a Finley_Util_ValueAndIndex array by value */
351     /* it is assumed that n is large */
352    
353     int Finley_Util_ValueAndIndex_compar(const void *arg1 , const void *arg2 ) {
354     Finley_Util_ValueAndIndex *e1,*e2;
355     e1=(Finley_Util_ValueAndIndex*) arg1;
356     e2=(Finley_Util_ValueAndIndex*) arg2;
357     if (e1->value < e2->value) return -1;
358     if (e1->value > e2->value) return 1;
359 gross 763 if (e1->index < e2->index) return -1;
360     if (e1->index > e2->index) return 1;
361 jgs 82 return 0;
362     }
363 woo409 757
364 jgs 123 void Finley_Util_sortValueAndIndex(dim_t n,Finley_Util_ValueAndIndex* array) {
365 jgs 82 /* OMP : needs parallelization !*/
366     qsort(array,n,sizeof(Finley_Util_ValueAndIndex),Finley_Util_ValueAndIndex_compar);
367     }
368    
369    
370     /**************************************************************/
371    
372     /* calculates the minimum value from a dim X N integer array */
373    
374 jgs 123 index_t Finley_Util_getMinInt(dim_t dim,dim_t N,index_t* values) {
375     dim_t i,j;
376     index_t out,out_local;
377     out=INDEX_T_MAX;
378 jgs 82 if (values!=NULL && dim*N>0 ) {
379     out=values[0];
380 jgs 115 #pragma omp parallel private(out_local)
381     {
382     out_local=out;
383     #pragma omp for private(i,j) schedule(static)
384     for (j=0;j<N;j++) {
385     for (i=0;i<dim;i++) out_local=MIN(out_local,values[INDEX2(i,j,dim)]);
386     }
387     #pragma omp critical
388     out=MIN(out_local,out);
389 jgs 82 }
390     }
391     return out;
392     }
393    
394     /* calculates the maximum value from a dim X N integer array */
395    
396 jgs 123 index_t Finley_Util_getMaxInt(dim_t dim,dim_t N,index_t* values) {
397     dim_t i,j;
398     index_t out,out_local;
399     out=-INDEX_T_MAX;
400 jgs 82 if (values!=NULL && dim*N>0 ) {
401     out=values[0];
402 jgs 115 #pragma omp parallel private(out_local)
403     {
404     out_local=out;
405     #pragma omp for private(i,j) schedule(static)
406     for (j=0;j<N;j++) {
407     for (i=0;i<dim;i++) out_local=MAX(out_local,values[INDEX2(i,j,dim)]);
408     }
409     #pragma omp critical
410     out=MAX(out_local,out);
411     }
412 jgs 82 }
413     return out;
414     }
415    
416     /* set the index of the positive entries in mask. The length of index is returned. */
417    
418 jgs 123 dim_t Finley_Util_packMask(dim_t N,index_t* mask,index_t* index) {
419     dim_t out,k;
420 jgs 82 out=0;
421     /*OMP */
422     for (k=0;k<N;k++) {
423     if (mask[k]>=0) {
424     index[out]=k;
425     out++;
426     }
427     }
428     return out;
429     }
430    
431     /* returns true if array contains value */
432 jgs 123 bool_t Finley_Util_isAny(dim_t N,index_t* array,index_t value) {
433     bool_t out=FALSE;
434     dim_t i;
435 jgs 82 #pragma omp parallel for private(i) schedule(static) reduction(||:out)
436 jgs 115 for (i=0;i<N;i++) out = out || (array[i]==value);
437 jgs 82 return out;
438     }
439 jgs 113 /* calculates the cummultative sum in array and returns the total sum */
440 jgs 123 index_t Finley_Util_cumsum(dim_t N,index_t* array) {
441     index_t out=0,tmp;
442     dim_t i;
443 jgs 113 #ifdef _OPENMP
444 jgs 123 index_t partial_sums[omp_get_max_threads()],sum;
445 jgs 113 #pragma omp parallel private(sum,i,tmp)
446     {
447     sum=0;
448 jgs 115 #pragma omp for schedule(static)
449     for (i=0;i<N;++i) sum+=array[i];
450 jgs 113 partial_sums[omp_get_thread_num()]=sum;
451 jgs 115 #pragma omp barrier
452 jgs 113 #pragma omp master
453     {
454     out=0;
455     for (i=0;i<omp_get_max_threads();++i) {
456     tmp=out;
457     out+=partial_sums[i];
458     partial_sums[i]=tmp;
459     }
460     }
461 jgs 115 #pragma omp barrier
462 jgs 113 sum=partial_sums[omp_get_thread_num()];
463 jgs 115 #pragma omp for schedule(static)
464     for (i=0;i<N;++i) {
465     tmp=sum;
466     sum+=array[i];
467     array[i]=tmp;
468     }
469 jgs 113 }
470     #else
471     for (i=0;i<N;++i) {
472     tmp=out;
473     out+=array[i];
474     array[i]=tmp;
475     }
476     #endif
477     return out;
478     }
479 jgs 82
480 jgs 123 void Finley_copyDouble(dim_t n,double* source, double* target) {
481     dim_t i;
482 jgs 82 for (i=0;i<n;i++) target[i]=source[i];
483     }
484 jgs 123
485 bcumming 751 #ifdef PASO_MPI
486     void Finley_printDoubleArray( FILE *fid, dim_t n, double *array, char *name )
487     {
488     index_t i;
489    
490     if( name )
491     fprintf( fid, "%s [ ", name );
492     else
493     fprintf( fid, "[ " );
494 bcumming 782 for( i=0; i<(n<60 ? n : 60); i++ )
495 bcumming 751 fprintf( fid, "%g ", array[i] );
496     if( n>=30 )
497     fprintf( fid, "... " );
498     fprintf( fid, "]\n" );
499     }
500     void Finley_printIntArray( FILE *fid, dim_t n, int *array, char *name )
501     {
502     index_t i;
503    
504     if( name )
505     fprintf( fid, "%s [ ", name );
506     else
507     fprintf( fid, "[ " );
508 bcumming 782 for( i=0; i<(n<60 ? n : 60); i++ )
509 bcumming 751 fprintf( fid, "%d ", array[i] );
510     if( n>=30 )
511     fprintf( fid, "... " );
512     fprintf( fid, "]\n" );
513     }
514     void Finley_printMaskArray( FILE *fid, dim_t n, int *array, char *name )
515     {
516     index_t i;
517    
518     if( name )
519     fprintf( fid, "%s [ ", name );
520     else
521     fprintf( fid, "[ " );
522 bcumming 782 for( i=0; i<(n<60 ? n : 60); i++ )
523 bcumming 751 if( array[i]!=-1 )
524 bcumming 782 fprintf( fid, "%3d ", array[i] );
525 bcumming 751 else
526 bcumming 782 fprintf( fid, " * " );
527 bcumming 751 if( n>=30 )
528     fprintf( fid, "... " );
529     fprintf( fid, "]\n" );
530     }
531     #endif
532    
533 jgs 123 /*
534 jgs 147 * Revision 1.8 2005/08/12 01:45:43 jgs
535     *
536 jgs 150 * Revision 1.7.2.2 2005/09/07 06:26:22 gross
537     * the solver from finley are put into the standalone package paso now
538     *
539 jgs 147 * Revision 1.7.2.1 2005/08/04 22:41:11 gross
540     * some extra routines for finley that might speed-up RHS assembling in some cases (not actived right now)
541     *
542 jgs 123 * Revision 1.7 2005/07/08 04:07:59 jgs
543     * Merge of development branch back to main trunk on 2005-07-08
544     *
545     * Revision 1.1.1.1.2.4 2005/06/29 02:34:57 gross
546     * some changes towards 64 integers in finley
547     *
548     * Revision 1.1.1.1.2.3 2005/03/02 23:35:06 gross
549     * reimplementation of the ILU in Finley. block size>1 still needs some testing
550     *
551     * Revision 1.1.1.1.2.2 2005/02/18 02:27:31 gross
552     * two function that will be used for a reimplementation of the ILU preconditioner
553     *
554     * Revision 1.1.1.1.2.1 2004/11/12 06:58:19 gross
555     * a lot of changes to get the linearPDE class running: most important change is that there is no matrix format exposed to the user anymore. the format is chosen by the Domain according to the solver and symmetry
556     *
557     * Revision 1.1.1.1 2004/10/26 06:53:57 jgs
558     * initial import of project esys2
559     *
560     * Revision 1.3 2004/08/26 12:03:52 gross
561     * Some other bug in Finley_Assemble_gradient fixed.
562     *
563     * Revision 1.2 2004/07/02 04:21:13 gross
564     * Finley C code has been included
565     *
566     * Revision 1.1.1.1 2004/06/24 04:00:40 johng
567     * Initial version of eys using boost-python.
568     *
569     *
570     */

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