xref: /petsc/src/mat/impls/aij/mpi/mumps/mumps.c (revision 397b6df1a4832bdda7bb9ba1aba28d3ca11e21c2)
1 /*$Id: mumps.c,v 1.10 2001/08/15 15:56:50 bsmith Exp $*/
2 /*
3     Provides an interface to the MUMPS_4.2_beta sparse solver
4 */
5 
6 #include "src/mat/impls/aij/seq/aij.h"
7 #include "src/mat/impls/aij/mpi/mpiaij.h"
8 #include "src/mat/impls/sbaij/seq/sbaij.h"
9 #include "src/mat/impls/sbaij/mpi/mpisbaij.h"
10 
11 EXTERN_C_BEGIN
12 #if defined(PETSC_USE_COMPLEX)
13 #include "zmumps_c.h"
14 #else
15 #include "dmumps_c.h"
16 #endif
17 EXTERN_C_END
18 #define JOB_INIT -1
19 #define JOB_END -2
20 /* macros s.t. indices match MUMPS documentation */
21 #define ICNTL(I) icntl[(I)-1]
22 #define CNTL(I) cntl[(I)-1]
23 #define INFOG(I) infog[(I)-1]
24 #define RINFOG(I) rinfog[(I)-1]
25 
26 typedef struct {
27 #if defined(PETSC_USE_COMPLEX)
28   ZMUMPS_STRUC_C id;
29 #else
30   DMUMPS_STRUC_C id;
31 #endif
32   MatStructure   matstruc;
33   int            myid,size,*irn,*jcn,sym;
34   PetscScalar    *val;
35   MPI_Comm       comm_mumps;
36   PetscTruth     isAIJ,CleanUpMUMPS;
37   int (*MatDestroy)(Mat);
38   int (*MatAssemblyEnd)(Mat,MatAssemblyType);
39   int (*MatView)(Mat,PetscViewer);
40 } Mat_AIJ_MUMPS;
41 
42 /* convert Petsc mpiaij matrix to triples: row[nz], col[nz], val[nz] */
43 /*
44   input:
45     A       - matrix in mpiaij format
46     shift   - 0: C style output triple; 1: Fortran style output triple.
47     valOnly - FALSE: spaces are allocated and values are set for the triple
48               TRUE:  only the values in v array are updated
49   output:
50     nnz     - dim of r, c, and v (number of local nonzero entries of A)
51     r, c, v - row and col index, matrix values (matrix triples)
52  */
53 int MatConvertToTriples(Mat A,int shift,PetscTruth valOnly,int *nnz,int **r, int **c, PetscScalar **v)
54 {
55   int              *ai, *aj, *bi, *bj, rstart,nz, *garray;
56   int              ierr,i,j,jj,jB,irow,m=A->m,*ajj,*bjj,countA,countB,colA_start,jcol;
57   int              *row,*col,*diagA;
58   PetscScalar      *av, *bv,*val;
59   Mat_AIJ_MUMPS *mumps = (Mat_AIJ_MUMPS *)A->spptr;
60   PetscTruth       isAIJ;
61 
62   PetscFunctionBegin;
63 
64   if (mumps->isAIJ){
65     Mat_MPIAIJ    *mat =  (Mat_MPIAIJ*)A->data;
66     Mat_SeqAIJ    *aa=(Mat_SeqAIJ*)(mat->A)->data;
67     Mat_SeqAIJ    *bb=(Mat_SeqAIJ*)(mat->B)->data;
68     nz = aa->nz + bb->nz;
69     ai=aa->i; aj=aa->j; bi=bb->i; bj=bb->j; rstart= mat->rstart;
70     garray = mat->garray;
71     av=aa->a; bv=bb->a;
72 
73   } else {
74     Mat_MPISBAIJ  *mat =  (Mat_MPISBAIJ*)A->data;
75     if (mat->bs > 1) SETERRQ1(PETSC_ERR_SUP," bs=%d is not supported yet\n", mat->bs);
76     Mat_SeqSBAIJ  *aa=(Mat_SeqSBAIJ*)(mat->A)->data;
77     Mat_SeqBAIJ    *bb=(Mat_SeqBAIJ*)(mat->B)->data;
78     nz = aa->s_nz + bb->nz;
79     ai=aa->i; aj=aa->j; bi=bb->i; bj=bb->j; rstart= mat->rstart;
80     garray = mat->garray;
81     av=aa->a; bv=bb->a;
82   }
83 
84   if (!valOnly){
85     ierr = PetscMalloc(nz*sizeof(int),&row);CHKERRQ(ierr);
86     ierr = PetscMalloc(nz*sizeof(int),&col);CHKERRQ(ierr);
87     ierr = PetscMalloc(nz*sizeof(PetscScalar),&val);CHKERRQ(ierr);
88     *r = row; *c = col; *v = val;
89   } else {
90     row = *r; col = *c; val = *v;
91   }
92   *nnz = nz;
93 
94   jj = 0; jB = 0; irow = rstart;
95   for ( i=0; i<m; i++ ) {
96     ajj = aj + ai[i];                 /* ptr to the beginning of this row */
97     countA = ai[i+1] - ai[i];
98     countB = bi[i+1] - bi[i];
99     bjj = bj + bi[i];
100 
101     /* get jB, the starting local col index for the 2nd B-part */
102     colA_start = rstart + ajj[0]; /* the smallest col index for A */
103     for (j=0; j<countB; j++){
104       jcol = garray[bjj[j]];
105       if (jcol > colA_start) { jB = j; break; }
106       if (j==countB-1) jB = countB;
107     }
108 
109     /* B-part, smaller col index */
110     colA_start = rstart + ajj[0]; /* the smallest col index for A */
111     for (j=0; j<jB; j++){
112       jcol = garray[bjj[j]];
113       if (!valOnly){
114         row[jj] = irow + shift; col[jj] = jcol + shift;
115       }
116       val[jj++] = *bv++;
117     }
118     /* A-part */
119     for (j=0; j<countA; j++){
120       if (!valOnly){
121         row[jj] = irow + shift; col[jj] = rstart + ajj[j] + shift;
122       }
123       val[jj++] = *av++;
124     }
125     /* B-part, larger col index */
126     for (j=jB; j<countB; j++){
127       if (!valOnly){
128         row[jj] = irow + shift; col[jj] = garray[bjj[j]] + shift;
129       }
130       val[jj++] = *bv++;
131     }
132     irow++;
133   }
134 
135   PetscFunctionReturn(0);
136 }
137 
138 #undef __FUNCT__
139 #define __FUNCT__ "MatDestroy_AIJ_MUMPS"
140 int MatDestroy_AIJ_MUMPS(Mat A)
141 {
142   Mat_AIJ_MUMPS *lu = (Mat_AIJ_MUMPS*)A->spptr;
143   int              ierr,size=lu->size,(*destroy)(Mat)=lu->MatDestroy;
144 
145   PetscFunctionBegin;
146 
147   if (lu->CleanUpMUMPS) {
148     /* Terminate instance, deallocate memories */
149     lu->id.job=JOB_END;
150 #if defined(PETSC_USE_COMPLEX)
151     zmumps_c(&lu->id);
152 #else
153     dmumps_c(&lu->id);
154 #endif
155     if (lu->irn) { ierr = PetscFree(lu->irn);CHKERRQ(ierr);}
156     if (lu->jcn) { ierr = PetscFree(lu->jcn);CHKERRQ(ierr);}
157     if (size>1 && lu->val) { ierr = PetscFree(lu->val);CHKERRQ(ierr);}
158 
159     ierr = MPI_Comm_free(&(lu->comm_mumps));CHKERRQ(ierr);
160   }
161 
162   ierr = PetscFree(lu);CHKERRQ(ierr);
163   ierr = (*destroy)(A);CHKERRQ(ierr);
164   PetscFunctionReturn(0);
165 }
166 
167 #undef __FUNCT__
168 #define __FUNCT__ "MatAssemblyEnd_AIJ_MUMPS"
169 int MatAssemblyEnd_AIJ_MUMPS(Mat A,MatAssemblyType mode) {
170   int           ierr;
171   Mat_AIJ_MUMPS *mumps;
172 
173   PetscFunctionBegin;
174   ierr = (*mumps->MatAssemblyEnd)(A,mode);CHKERRQ(ierr);
175   ierr = MatUseMUMPS_MPIAIJ(A);CHKERRQ(ierr);
176   PetscFunctionReturn(0);
177 }
178 
179 #undef __FUNCT__
180 #define __FUNCT__ "MatView_AIJ_MUMPS"
181 int MatView_AIJ_MUMPS(Mat A,PetscViewer viewer) {
182   int               ierr;
183   PetscTruth        isascii;
184   PetscViewerFormat format;
185   Mat_AIJ_MUMPS     *mumps=(Mat_AIJ_MUMPS*)(A->spptr);
186 
187   PetscFunctionBegin;
188   ierr = (*mumps->MatView)(A,viewer);CHKERRQ(ierr);
189 
190   ierr = PetscTypeCompare((PetscObject)viewer,PETSC_VIEWER_ASCII,&isascii);CHKERRQ(ierr);
191   if (isascii) {
192     ierr = PetscViewerGetFormat(viewer,&format);CHKERRQ(ierr);
193     if (format == PETSC_VIEWER_ASCII_FACTOR_INFO) {
194       ierr = MatFactorInfo_MUMPS(A,viewer);CHKERRQ(ierr);
195     }
196   }
197   PetscFunctionReturn(0);
198 }
199 
200 #undef __FUNCT__
201 #define __FUNCT__ "MatSolve_AIJ_MUMPS"
202 int MatSolve_AIJ_MUMPS(Mat A,Vec b,Vec x)
203 {
204   Mat_AIJ_MUMPS *lu = (Mat_AIJ_MUMPS*)A->spptr;
205   PetscScalar      *rhs,*array;
206   Vec              x_seq;
207   IS               iden;
208   VecScatter       scat;
209   int              ierr;
210 
211   PetscFunctionBegin;
212   if (lu->size > 1){
213     if (!lu->myid){
214       ierr = VecCreateSeq(PETSC_COMM_SELF,A->N,&x_seq);CHKERRQ(ierr);
215       ierr = ISCreateStride(PETSC_COMM_SELF,A->N,0,1,&iden);CHKERRQ(ierr);
216     } else {
217       ierr = VecCreateSeq(PETSC_COMM_SELF,0,&x_seq);CHKERRQ(ierr);
218       ierr = ISCreateStride(PETSC_COMM_SELF,0,0,1,&iden);CHKERRQ(ierr);
219     }
220     ierr = VecScatterCreate(b,iden,x_seq,iden,&scat);CHKERRQ(ierr);
221     ierr = ISDestroy(iden);CHKERRQ(ierr);
222 
223     ierr = VecScatterBegin(b,x_seq,INSERT_VALUES,SCATTER_FORWARD,scat);CHKERRQ(ierr);
224     ierr = VecScatterEnd(b,x_seq,INSERT_VALUES,SCATTER_FORWARD,scat);CHKERRQ(ierr);
225     if (!lu->myid) {ierr = VecGetArray(x_seq,&array);CHKERRQ(ierr);}
226   } else {  /* size == 1 */
227     ierr = VecCopy(b,x);CHKERRQ(ierr);
228     ierr = VecGetArray(x,&array);CHKERRQ(ierr);
229   }
230   if (!lu->myid) { /* define rhs on the host */
231 #if defined(PETSC_USE_COMPLEX)
232     lu->id.rhs = (mumps_double_complex*)array;
233 #else
234     lu->id.rhs = array;
235 #endif
236   }
237 
238   /* solve phase */
239   lu->id.job=3;
240 #if defined(PETSC_USE_COMPLEX)
241   zmumps_c(&lu->id);
242 #else
243   dmumps_c(&lu->id);
244 #endif
245   if (lu->id.INFOG(1) < 0) {
246     SETERRQ1(1,"Error reported by MUMPS in solve phase: INFOG(1)=%d\n",lu->id.INFOG(1));
247   }
248 
249   /* convert mumps solution x_seq to petsc mpi x */
250   if (lu->size > 1) {
251     if (!lu->myid){
252       ierr = VecRestoreArray(x_seq,&array);CHKERRQ(ierr);
253     }
254     ierr = VecScatterBegin(x_seq,x,INSERT_VALUES,SCATTER_REVERSE,scat);CHKERRQ(ierr);
255     ierr = VecScatterEnd(x_seq,x,INSERT_VALUES,SCATTER_REVERSE,scat);CHKERRQ(ierr);
256     ierr = VecScatterDestroy(scat);CHKERRQ(ierr);
257     ierr = VecDestroy(x_seq);CHKERRQ(ierr);
258   } else {
259     ierr = VecRestoreArray(x,&array);CHKERRQ(ierr);
260   }
261 
262   PetscFunctionReturn(0);
263 }
264 
265 #undef __FUNCT__
266 #define __FUNCT__ "MatFactorNumeric_MPIAIJ_MUMPS"
267 int MatFactorNumeric_AIJ_MUMPS(Mat A,Mat *F)
268 {
269   Mat_AIJ_MUMPS *lu = (Mat_AIJ_MUMPS*)(*F)->spptr;
270   int              rnz,nnz,ierr,nz,i,M=A->M,*ai,*aj,icntl;
271   PetscTruth       valOnly,flg;
272 
273   PetscFunctionBegin;
274   if (lu->matstruc == DIFFERENT_NONZERO_PATTERN){
275     (*F)->ops->solve    = MatSolve_AIJ_MUMPS;
276 
277     /* Initialize a MUMPS instance */
278     ierr = MPI_Comm_rank(A->comm, &lu->myid);
279     ierr = MPI_Comm_size(A->comm,&lu->size);CHKERRQ(ierr);
280     lu->id.job = JOB_INIT;
281     ierr = MPI_Comm_dup(A->comm,&(lu->comm_mumps));CHKERRQ(ierr);
282     lu->id.comm_fortran = lu->comm_mumps;
283 
284     /* Set mumps options */
285     ierr = PetscOptionsBegin(A->comm,A->prefix,"MUMPS Options","Mat");CHKERRQ(ierr);
286     lu->id.par=1;  /* host participates factorizaton and solve */
287     lu->id.sym=lu->sym;
288     if (lu->sym == 2){
289       ierr = PetscOptionsInt("-mat_mumps_sym","SYM: (1,2)","None",lu->id.sym,&icntl,&flg);CHKERRQ(ierr);
290       if (flg && icntl == 1) lu->id.sym=icntl;  /* matrix is spd */
291     }
292 #if defined(PETSC_USE_COMPLEX)
293   zmumps_c(&lu->id);
294 #else
295   dmumps_c(&lu->id);
296 #endif
297 
298     if (lu->size == 1){
299       lu->id.ICNTL(18) = 0;   /* centralized assembled matrix input */
300     } else {
301       lu->id.ICNTL(18) = 3;   /* distributed assembled matrix input */
302     }
303 
304     icntl=-1;
305     ierr = PetscOptionsInt("-mat_mumps_icntl_4","ICNTL(4): level of printing (0 to 4)","None",lu->id.ICNTL(4),&icntl,&flg);CHKERRQ(ierr);
306     if (flg && icntl > 0) {
307       lu->id.ICNTL(4)=icntl; /* and use mumps default icntl(i), i=1,2,3 */
308     } else { /* no output */
309       lu->id.ICNTL(1) = 0;  /* error message, default= 6 */
310       lu->id.ICNTL(2) = -1; /* output stream for diagnostic printing, statistics, and warning. default=0 */
311       lu->id.ICNTL(3) = -1; /* output stream for global information, default=6 */
312       lu->id.ICNTL(4) = 0;  /* level of printing, 0,1,2,3,4, default=2 */
313     }
314     ierr = PetscOptionsInt("-mat_mumps_icntl_6","ICNTL(6): matrix prescaling (0 to 7)","None",lu->id.ICNTL(6),&lu->id.ICNTL(6),PETSC_NULL);CHKERRQ(ierr);
315     icntl=-1;
316     ierr = PetscOptionsInt("-mat_mumps_icntl_7","ICNTL(7): matrix ordering (0 to 7)","None",lu->id.ICNTL(7),&icntl,&flg);CHKERRQ(ierr);
317     if (flg) {
318       if (icntl== 1){
319         SETERRQ(PETSC_ERR_SUP,"pivot order be set by the user in PERM_IN -- not supported by the PETSc/MUMPS interface\n");
320       } else {
321         lu->id.ICNTL(7) = icntl;
322       }
323     }
324     ierr = PetscOptionsInt("-mat_mumps_icntl_9","ICNTL(9): A or A^T x=b to be solved. 1: A; otherwise: A^T","None",lu->id.ICNTL(9),&lu->id.ICNTL(9),PETSC_NULL);CHKERRQ(ierr);
325     ierr = PetscOptionsInt("-mat_mumps_icntl_10","ICNTL(10): max num of refinements","None",lu->id.ICNTL(10),&lu->id.ICNTL(10),PETSC_NULL);CHKERRQ(ierr);
326     ierr = PetscOptionsInt("-mat_mumps_icntl_11","ICNTL(11): error analysis, a positive value returns statistics (by -sles_view)","None",lu->id.ICNTL(11),&lu->id.ICNTL(11),PETSC_NULL);CHKERRQ(ierr);
327     ierr = PetscOptionsInt("-mat_mumps_icntl_12","ICNTL(12): efficiency control","None",lu->id.ICNTL(12),&lu->id.ICNTL(12),PETSC_NULL);CHKERRQ(ierr);
328     ierr = PetscOptionsInt("-mat_mumps_icntl_13","ICNTL(13): efficiency control","None",lu->id.ICNTL(13),&lu->id.ICNTL(13),PETSC_NULL);CHKERRQ(ierr);
329     ierr = PetscOptionsInt("-mat_mumps_icntl_14","ICNTL(14): efficiency control","None",lu->id.ICNTL(14),&lu->id.ICNTL(14),PETSC_NULL);CHKERRQ(ierr);
330     ierr = PetscOptionsInt("-mat_mumps_icntl_15","ICNTL(15): efficiency control","None",lu->id.ICNTL(15),&lu->id.ICNTL(15),PETSC_NULL);CHKERRQ(ierr);
331 
332     /*
333     ierr = PetscOptionsInt("-mat_mumps_icntl_16","ICNTL(16): 1: rank detection; 2: rank detection and nullspace","None",lu->id.ICNTL(16),&icntl,&flg);CHKERRQ(ierr);
334     if (flg){
335       if (icntl >-1 && icntl <3 ){
336         if (lu->myid==0) lu->id.ICNTL(16) = icntl;
337       } else {
338         SETERRQ1(PETSC_ERR_SUP,"ICNTL(16)=%d -- not supported\n",icntl);
339       }
340     }
341     */
342 
343     ierr = PetscOptionsReal("-mat_mumps_cntl_1","CNTL(1): relative pivoting threshold","None",lu->id.CNTL(1),&lu->id.CNTL(1),PETSC_NULL);CHKERRQ(ierr);
344     ierr = PetscOptionsReal("-mat_mumps_cntl_2","CNTL(2): stopping criterion of refinement","None",lu->id.CNTL(2),&lu->id.CNTL(2),PETSC_NULL);CHKERRQ(ierr);
345     ierr = PetscOptionsReal("-mat_mumps_cntl_3","CNTL(3): absolute pivoting threshold","None",lu->id.CNTL(3),&lu->id.CNTL(3),PETSC_NULL);CHKERRQ(ierr);
346     PetscOptionsEnd();
347   }
348 
349   /* define matrix A */
350   switch (lu->id.ICNTL(18)){
351   case 0:  /* centralized assembled matrix input (size=1) */
352     if (!lu->myid) {
353       if (lu->isAIJ){
354         Mat_SeqAIJ   *aa = (Mat_SeqAIJ*)A->data;
355         nz               = aa->nz;
356         ai = aa->i; aj = aa->j; lu->val = aa->a;
357       } else {
358         Mat_SeqSBAIJ *aa = (Mat_SeqSBAIJ*)A->data;
359         nz                  =  aa->s_nz;
360         ai = aa->i; aj = aa->j; lu->val = aa->a;
361       }
362       if (lu->matstruc == DIFFERENT_NONZERO_PATTERN){ /* first numeric factorization, get irn and jcn */
363         ierr = PetscMalloc(nz*sizeof(int),&lu->irn);CHKERRQ(ierr);
364         ierr = PetscMalloc(nz*sizeof(int),&lu->jcn);CHKERRQ(ierr);
365         nz = 0;
366         for (i=0; i<M; i++){
367           rnz = ai[i+1] - ai[i];
368           while (rnz--) {  /* Fortran row/col index! */
369             lu->irn[nz] = i+1; lu->jcn[nz] = (*aj)+1; aj++; nz++;
370           }
371         }
372       }
373     }
374     break;
375   case 3:  /* distributed assembled matrix input (size>1) */
376     if (lu->matstruc == DIFFERENT_NONZERO_PATTERN){
377       valOnly = PETSC_FALSE;
378     } else {
379       valOnly = PETSC_TRUE; /* only update mat values, not row and col index */
380     }
381     ierr = MatConvertToTriples(A,1,valOnly, &nnz, &lu->irn, &lu->jcn, &lu->val);CHKERRQ(ierr);
382     break;
383   default: SETERRQ(PETSC_ERR_SUP,"Matrix input format is not supported by MUMPS.");
384   }
385 
386   /* analysis phase */
387   if (lu->matstruc == DIFFERENT_NONZERO_PATTERN){
388      lu->id.n = M;
389     switch (lu->id.ICNTL(18)){
390     case 0:  /* centralized assembled matrix input */
391       if (!lu->myid) {
392         lu->id.nz =nz; lu->id.irn=lu->irn; lu->id.jcn=lu->jcn;
393         if (lu->id.ICNTL(6)>1){
394 #if defined(PETSC_USE_COMPLEX)
395           lu->id.a = (mumps_double_complex*)lu->val;
396 #else
397           lu->id.a = lu->val;
398 #endif
399         }
400       }
401       break;
402     case 3:  /* distributed assembled matrix input (size>1) */
403       lu->id.nz_loc = nnz;
404       lu->id.irn_loc=lu->irn; lu->id.jcn_loc=lu->jcn;
405       if (lu->id.ICNTL(6)>1) {
406 #if defined(PETSC_USE_COMPLEX)
407         lu->id.a_loc = (mumps_double_complex*)lu->val;
408 #else
409         lu->id.a_loc = lu->val;
410 #endif
411       }
412       break;
413     }
414     lu->id.job=1;
415 #if defined(PETSC_USE_COMPLEX)
416   zmumps_c(&lu->id);
417 #else
418   dmumps_c(&lu->id);
419 #endif
420     if (lu->id.INFOG(1) < 0) {
421       SETERRQ1(1,"Error reported by MUMPS in analysis phase: INFOG(1)=%d\n",lu->id.INFOG(1));
422     }
423   }
424 
425   /* numerical factorization phase */
426   if(lu->id.ICNTL(18) == 0) {
427     if (lu->myid == 0) {
428 #if defined(PETSC_USE_COMPLEX)
429       lu->id.a = (mumps_double_complex*)lu->val;
430 #else
431       lu->id.a = lu->val;
432 #endif
433     }
434   } else {
435 #if defined(PETSC_USE_COMPLEX)
436     lu->id.a_loc = (mumps_double_complex*)lu->val;
437 #else
438     lu->id.a_loc = lu->val;
439 #endif
440   }
441   lu->id.job=2;
442 #if defined(PETSC_USE_COMPLEX)
443   zmumps_c(&lu->id);
444 #else
445   dmumps_c(&lu->id);
446 #endif
447   if (lu->id.INFOG(1) < 0) {
448     SETERRQ1(1,"1, Error reported by MUMPS in numerical factorization phase: INFOG(1)=%d\n",lu->id.INFOG(1));
449   }
450 
451   if (lu->myid==0 && lu->id.ICNTL(16) > 0){
452     SETERRQ1(1,"  lu->id.ICNTL(16):=%d\n",lu->id.INFOG(16));
453   }
454 
455   (*F)->assembled = PETSC_TRUE;
456   lu->matstruc    = SAME_NONZERO_PATTERN;
457   PetscFunctionReturn(0);
458 }
459 
460 /* Note the Petsc r and c permutations are ignored */
461 #undef __FUNCT__
462 #define __FUNCT__ "MatLUFactorSymbolic_AIJ_MUMPS"
463 int MatLUFactorSymbolic_AIJ_MUMPS(Mat A,IS r,IS c,MatFactorInfo *info,Mat *F)
464 {
465   Mat              B;
466   Mat_AIJ_MUMPS *lu;
467   int              ierr;
468 
469   PetscFunctionBegin;
470 
471   /* Create the factorization matrix */
472   ierr = MatCreate(A->comm,A->m,A->n,A->M,A->N,&B);CHKERRQ(ierr);
473   ierr = MatSetType(B,MATAIJMUMPS);CHKERRQ(ierr);
474   ierr = MatSeqAIJSetPreallocation(B,0,PETSC_NULL);CHKERRQ(ierr);
475   ierr = MatMPIAIJSetPreallocation(B,0,PETSC_NULL,0,PETSC_NULL);CHKERRQ(ierr);
476 
477   B->ops->lufactornumeric = MatFactorNumeric_AIJ_MUMPS;
478   B->factor               = FACTOR_LU;
479   lu                      = B->spptr;
480   lu->sym                 = 0;
481   lu->matstruc            = DIFFERENT_NONZERO_PATTERN;
482 
483   *F = B;
484   PetscFunctionReturn(0);
485 }
486 
487 /* Note the Petsc r permutation is ignored */
488 #undef __FUNCT__
489 #define __FUNCT__ "MatCholeskyFactorSymbolic_AIJ_MUMPS"
490 int MatCholeskyFactorSymbolic_AIJ_MUMPS(Mat A,IS r,MatFactorInfo *info,Mat *F)
491 {
492   Mat              B;
493   Mat_AIJ_MUMPS *lu;
494   int              ierr;
495 
496   PetscFunctionBegin;
497 
498   /* Create the factorization matrix */
499   ierr = MatCreate(A->comm,A->m,A->n,A->M,A->N,&B);CHKERRQ(ierr);
500   ierr = MatSetType(B,MATAIJMUMPS);CHKERRQ(ierr);
501   ierr = MatSeqAIJSetPreallocation(B,0,PETSC_NULL);CHKERRQ(ierr);
502   ierr = MatMPIAIJSetPreallocation(B,0,PETSC_NULL,0,PETSC_NULL);CHKERRQ(ierr);
503 
504   B->ops->choleskyfactornumeric = MatFactorNumeric_AIJ_MUMPS;
505   B->factor                     = FACTOR_CHOLESKY;
506   lu                            = (Mat_AIJ_MUMPS *)B->spptr;
507   lu->sym                       = 2;
508   lu->matstruc                  = DIFFERENT_NONZERO_PATTERN;
509 
510   *F = B;
511   PetscFunctionReturn(0);
512 }
513 
514 #undef __FUNCT__
515 #define __FUNCT__ "MatUseMUMPS_AIJ"
516 int MatUseMUMPS_AIJ(Mat A)
517 {
518   PetscFunctionBegin;
519   A->ops->lufactorsymbolic       = MatLUFactorSymbolic_AIJ_MUMPS;
520   A->ops->choleskyfactorsymbolic = MatCholeskyFactorSymbolic_AIJ_MUMPS;
521   A->ops->lufactornumeric        = MatFactorNumeric_AIJ_MUMPS;
522 
523   PetscFunctionReturn(0);
524 }
525 
526 int MatFactorInfo_MUMPS(Mat A,PetscViewer viewer)
527 {
528   Mat_AIJ_MUMPS *lu= (Mat_AIJ_MUMPS*)A->spptr;
529   int              ierr;
530 
531   PetscFunctionBegin;
532   ierr = PetscViewerASCIIPrintf(viewer,"MUMPS run parameters:\n");CHKERRQ(ierr);
533   ierr = PetscViewerASCIIPrintf(viewer,"  SYM (matrix type):                  %d \n",lu->id.sym);CHKERRQ(ierr);
534   ierr = PetscViewerASCIIPrintf(viewer,"  PAR (host participation):           %d \n",lu->id.par);CHKERRQ(ierr);
535   ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(4) (level of printing):       %d \n",lu->id.ICNTL(4));CHKERRQ(ierr);
536   ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(5) (input mat struct):        %d \n",lu->id.ICNTL(5));CHKERRQ(ierr);
537   ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(6) (matrix prescaling):       %d \n",lu->id.ICNTL(6));CHKERRQ(ierr);
538   ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(7) (matrix ordering):         %d \n",lu->id.ICNTL(7));CHKERRQ(ierr);
539   ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(9) (A/A^T x=b is solved):     %d \n",lu->id.ICNTL(9));CHKERRQ(ierr);
540   ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(10) (max num of refinements): %d \n",lu->id.ICNTL(10));CHKERRQ(ierr);
541   ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(11) (error analysis):         %d \n",lu->id.ICNTL(11));CHKERRQ(ierr);
542   if (lu->myid == 0 && lu->id.ICNTL(11)>0) {
543     ierr = PetscPrintf(PETSC_COMM_SELF,"        RINFOG(4) (inf norm of input mat):        %g\n",lu->id.RINFOG(4));CHKERRQ(ierr);
544     ierr = PetscPrintf(PETSC_COMM_SELF,"        RINFOG(5) (inf norm of solution):         %g\n",lu->id.RINFOG(5));CHKERRQ(ierr);
545     ierr = PetscPrintf(PETSC_COMM_SELF,"        RINFOG(6) (inf norm of residual):         %g\n",lu->id.RINFOG(6));CHKERRQ(ierr);
546     ierr = PetscPrintf(PETSC_COMM_SELF,"        RINFOG(7),RINFOG(8) (backward error est): %g\n",lu->id.RINFOG(7),lu->id.RINFOG(8));CHKERRQ(ierr);
547     ierr = PetscPrintf(PETSC_COMM_SELF,"        RINFOG(9) (error estimate):               %g \n",lu->id.RINFOG(9));CHKERRQ(ierr);
548     ierr = PetscPrintf(PETSC_COMM_SELF,"        RINFOG(10),RINFOG(11)(condition numbers): %g, %g\n",lu->id.RINFOG(10),lu->id.RINFOG(11));CHKERRQ(ierr);
549 
550   }
551   ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(12) (efficiency control):     %d \n",lu->id.ICNTL(12));CHKERRQ(ierr);
552   ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(13) (efficiency control):     %d \n",lu->id.ICNTL(13));CHKERRQ(ierr);
553   ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(14) (efficiency control):     %d \n",lu->id.ICNTL(14));CHKERRQ(ierr);
554   ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(15) (efficiency control):     %d \n",lu->id.ICNTL(15));CHKERRQ(ierr);
555   ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(18) (input mat struct):       %d \n",lu->id.ICNTL(18));CHKERRQ(ierr);
556 
557   ierr = PetscViewerASCIIPrintf(viewer,"  CNTL(1) (relative pivoting threshold):      %g \n",lu->id.CNTL(1));CHKERRQ(ierr);
558   ierr = PetscViewerASCIIPrintf(viewer,"  CNTL(2) (stopping criterion of refinement): %g \n",lu->id.CNTL(2));CHKERRQ(ierr);
559   ierr = PetscViewerASCIIPrintf(viewer,"  CNTL(3) (absolute pivoting threshold):      %g \n",lu->id.CNTL(3));CHKERRQ(ierr);
560   PetscFunctionReturn(0);
561 }
562 
563 EXTERN_C_BEGIN
564 #undef __FUNCT__
565 #define __FUNCT__ "MatCreate_AIJ_MUMPS"
566 int MatCreate_AIJ_MUMPS(Mat A) {
567   int           ierr,size;
568   MPI_Comm      comm;
569   Mat_AIJ_MUMPS *mumps;
570 
571   PetscFunctionBegin;
572   ierr = PetscObjectGetComm((PetscObject)A,&comm);CHKERRQ(ierr);
573   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);CHKERRQ(ierr);
574   if (size == 1) {
575     ierr = MatSetType(A,MATSEQAIJ);CHKERRQ(ierr);
576   } else {
577     ierr = MatSetType(A,MATMPIAIJ);CHKERRQ(ierr);
578   }
579   ierr = MatUseMUMPS_AIJ(A);
580 
581   ierr = PetscNew(Mat_AIJ_MUMPS,&mumps);CHKERRQ(ierr);
582   mumps->MatDestroy     = A->ops->destroy;
583   mumps->MatAssemblyEnd = A->ops->assemblyend;
584   mumps->MatView        = A->ops->view;
585   mumps->CleanUpMUMPS   = PETSC_FALSE;
586   A->spptr              = (void *)mumps;
587   A->ops->destroy       = MatDestroy_AIJ_MUMPS;
588   A->ops->assemblyend   = MatAssemblyEnd_AIJ_MUMPS;
589   A->ops->view          = MatView_AIJ_MUMPS;
590   PetscFunctionReturn(0);
591 }
592 EXTERN_C_END
593 
594 EXTERN_C_BEGIN
595 #undef __FUNCT__
596 #define __FUNCT__ "MatCreate_SBAIJ_MUMPS"
597 int MatCreate_SBAIJ_MUMPS(Mat A) {
598   int           ierr,size;
599   MPI_Comm      comm;
600   Mat_AIJ_MUMPS *mumps;
601 
602   PetscFunctionBegin;
603   ierr = PetscObjectGetComm((PetscObject)A,&comm);CHKERRQ(ierr);
604   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);CHKERRQ(ierr);
605   if (size == 1) {
606     ierr = MatSetType(A,MATSEQSBAIJ);CHKERRQ(ierr);
607   } else {
608     ierr = MatSetType(A,MATMPISBAIJ);CHKERRQ(ierr);
609   }
610   ierr=MatUseMUMPS_AIJ(A);
611 
612   ierr = PetscNew(Mat_AIJ_MUMPS,&mumps);CHKERRQ(ierr);
613   mumps->MatDestroy     = A->ops->destroy;
614   mumps->MatAssemblyEnd = A->ops->assemblyend;
615   mumps->CleanUpMUMPS   = PETSC_FALSE;
616   A->spptr              = (void *)mumps;
617   A->ops->destroy       = MatDestroy_AIJ_MUMPS;
618   A->ops->assemblyend   = MatAssemblyEnd_AIJ_MUMPS;
619 
620   PetscFunctionReturn(0);
621 }
622 EXTERN_C_END
623 
624 EXTERN_C_BEGIN
625 #undef __FUNCT__
626 #define __FUNCT__ "MatLoad_AIJ_MUMPS"
627 int MatLoad_AIJ_MUMPS(PetscViewer viewer,MatType type,Mat *A) {
628   int ierr,size,(*r)(PetscViewer,MatType,Mat*);
629   MPI_Comm comm;
630 
631   PetscFunctionBegin;
632   ierr = PetscObjectGetComm((PetscObject)viewer,&comm);CHKERRQ(ierr);
633   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
634   if (size == 1) {
635     ierr = PetscFListFind(comm,MatLoadList,MATSEQAIJ,(void(**)(void))&r);CHKERRQ(ierr);
636   } else {
637     ierr = PetscFListFind(comm,MatLoadList,MATMPIAIJ,(void(**)(void))&r);CHKERRQ(ierr);
638   }
639   ierr = (*r)(viewer,type,A);CHKERRQ(ierr);
640   PetscFunctionReturn(0);
641 }
642 EXTERN_C_END
643 
644 EXTERN_C_BEGIN
645 #undef __FUNCT__
646 #define __FUNCT__ "MatLoad_SBAIJ_MUMPS"
647 int MatLoad_SBAIJ_MUMPS(PetscViewer viewer,MatType type,Mat *A) {
648   int ierr,size,(*r)(PetscViewer,MatType,Mat*);
649   MPI_Comm comm;
650 
651   PetscFunctionBegin;
652   ierr = PetscObjectGetComm((PetscObject)viewer,&comm);CHKERRQ(ierr);
653   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
654   if (size == 1) {
655     ierr = PetscFListFind(comm,MatLoadList,MATSEQSBAIJ,(void(**)(void))&r);CHKERRQ(ierr);
656   } else {
657     ierr = PetscFListFind(comm,MatLoadList,MATMPISBAIJ,(void(**)(void))&r);CHKERRQ(ierr);
658   }
659   ierr = (*r)(viewer,type,A);CHKERRQ(ierr);
660   PetscFunctionReturn(0);
661 }
662 EXTERN_C_END
663