xref: /petsc/src/mat/impls/aij/mpi/mumps/mumps.c (revision 490ca623e2ad2986c65f7c02db83f9fc53aebec2)
1 
2 /*
3     Provides an interface to the MUMPS sparse solver
4 */
5 
6 #include <../src/mat/impls/aij/mpi/mpiaij.h> /*I  "petscmat.h"  I*/
7 #include <../src/mat/impls/sbaij/mpi/mpisbaij.h>
8 
9 EXTERN_C_BEGIN
10 #if defined(PETSC_USE_COMPLEX)
11 #include <zmumps_c.h>
12 #else
13 #include <dmumps_c.h>
14 #endif
15 EXTERN_C_END
16 #define JOB_INIT -1
17 #define JOB_FACTSYMBOLIC 1
18 #define JOB_FACTNUMERIC 2
19 #define JOB_SOLVE 3
20 #define JOB_END -2
21 
22 
23 /* macros s.t. indices match MUMPS documentation */
24 #define ICNTL(I) icntl[(I)-1]
25 #define CNTL(I) cntl[(I)-1]
26 #define INFOG(I) infog[(I)-1]
27 #define INFO(I) info[(I)-1]
28 #define RINFOG(I) rinfog[(I)-1]
29 #define RINFO(I) rinfo[(I)-1]
30 
31 typedef struct {
32 #if defined(PETSC_USE_COMPLEX)
33   ZMUMPS_STRUC_C id;
34 #else
35   DMUMPS_STRUC_C id;
36 #endif
37   MatStructure   matstruc;
38   PetscMPIInt    myid,size;
39   PetscInt       *irn,*jcn,nz,sym,nSolve;
40   PetscScalar    *val;
41   MPI_Comm       comm_mumps;
42   VecScatter     scat_rhs, scat_sol;
43   PetscBool      isAIJ,CleanUpMUMPS;
44   Vec            b_seq,x_seq;
45   PetscErrorCode (*Destroy)(Mat);
46   PetscErrorCode (*ConvertToTriples)(Mat, int, MatReuse, int*, int**, int**, PetscScalar**);
47 } Mat_MUMPS;
48 
49 extern PetscErrorCode MatDuplicate_MUMPS(Mat,MatDuplicateOption,Mat*);
50 
51 
52 /* MatConvertToTriples_A_B */
53 /*convert Petsc matrix to triples: row[nz], col[nz], val[nz] */
54 /*
55   input:
56     A       - matrix in aij,baij or sbaij (bs=1) format
57     shift   - 0: C style output triple; 1: Fortran style output triple.
58     reuse   - MAT_INITIAL_MATRIX: spaces are allocated and values are set for the triple
59               MAT_REUSE_MATRIX:   only the values in v array are updated
60   output:
61     nnz     - dim of r, c, and v (number of local nonzero entries of A)
62     r, c, v - row and col index, matrix values (matrix triples)
63  */
64 
65 #undef __FUNCT__
66 #define __FUNCT__ "MatConvertToTriples_seqaij_seqaij"
67 PetscErrorCode MatConvertToTriples_seqaij_seqaij(Mat A,int shift,MatReuse reuse,int *nnz,int **r, int **c, PetscScalar **v)
68 {
69   const PetscInt   *ai,*aj,*ajj,M=A->rmap->n;
70   PetscInt         nz,rnz,i,j;
71   PetscErrorCode   ierr;
72   PetscInt         *row,*col;
73   Mat_SeqAIJ       *aa=(Mat_SeqAIJ*)A->data;
74 
75   PetscFunctionBegin;
76   *v=aa->a;
77   if (reuse == MAT_INITIAL_MATRIX){
78     nz = aa->nz; ai = aa->i; aj = aa->j;
79     *nnz = nz;
80     ierr = PetscMalloc(2*nz*sizeof(PetscInt), &row);CHKERRQ(ierr);
81     col  = row + nz;
82 
83     nz = 0;
84     for(i=0; i<M; i++) {
85       rnz = ai[i+1] - ai[i];
86       ajj = aj + ai[i];
87       for(j=0; j<rnz; j++) {
88 	row[nz] = i+shift; col[nz++] = ajj[j] + shift;
89       }
90     }
91     *r = row; *c = col;
92   }
93   PetscFunctionReturn(0);
94 }
95 
96 #undef __FUNCT__
97 #define __FUNCT__ "MatConvertToTriples_seqbaij_seqaij"
98 PetscErrorCode MatConvertToTriples_seqbaij_seqaij(Mat A,int shift,MatReuse reuse,int *nnz,int **r, int **c, PetscScalar **v)
99 {
100   Mat_SeqBAIJ        *aa=(Mat_SeqBAIJ*)A->data;
101   const PetscInt     *ai,*aj,*ajj,bs=A->rmap->bs,bs2=aa->bs2,M=A->rmap->N/bs;
102   PetscInt           nz,idx=0,rnz,i,j,k,m;
103   PetscErrorCode     ierr;
104   PetscInt           *row,*col;
105 
106   PetscFunctionBegin;
107   *v = aa->a;
108   if (reuse == MAT_INITIAL_MATRIX){
109     ai = aa->i; aj = aa->j;
110     nz = bs2*aa->nz;
111     *nnz = nz;
112     ierr = PetscMalloc(2*nz*sizeof(PetscInt), &row);CHKERRQ(ierr);
113     col  = row + nz;
114 
115     for(i=0; i<M; i++) {
116       ajj = aj + ai[i];
117       rnz = ai[i+1] - ai[i];
118       for(k=0; k<rnz; k++) {
119 	for(j=0; j<bs; j++) {
120 	  for(m=0; m<bs; m++) {
121 	    row[idx]     = i*bs + m + shift;
122 	    col[idx++]   = bs*(ajj[k]) + j + shift;
123 	  }
124 	}
125       }
126     }
127     *r = row; *c = col;
128   }
129   PetscFunctionReturn(0);
130 }
131 
132 #undef __FUNCT__
133 #define __FUNCT__ "MatConvertToTriples_seqsbaij_seqsbaij"
134 PetscErrorCode MatConvertToTriples_seqsbaij_seqsbaij(Mat A,int shift,MatReuse reuse,int *nnz,int **r, int **c, PetscScalar **v)
135 {
136   const PetscInt   *ai, *aj,*ajj,M=A->rmap->n;
137   PetscInt         nz,rnz,i,j;
138   PetscErrorCode   ierr;
139   PetscInt         *row,*col;
140   Mat_SeqSBAIJ     *aa=(Mat_SeqSBAIJ*)A->data;
141 
142   PetscFunctionBegin;
143   if (reuse == MAT_INITIAL_MATRIX){
144     nz = aa->nz;ai=aa->i; aj=aa->j;*v=aa->a;
145     *nnz = nz;
146     ierr = PetscMalloc(2*nz*sizeof(PetscInt), &row);CHKERRQ(ierr);
147     col  = row + nz;
148 
149     nz = 0;
150     for(i=0; i<M; i++) {
151       rnz = ai[i+1] - ai[i];
152       ajj = aj + ai[i];
153       for(j=0; j<rnz; j++) {
154 	row[nz] = i+shift; col[nz++] = ajj[j] + shift;
155       }
156     }
157     *r = row; *c = col;
158   }
159   PetscFunctionReturn(0);
160 }
161 
162 #undef __FUNCT__
163 #define __FUNCT__ "MatConvertToTriples_seqaij_seqsbaij"
164 PetscErrorCode MatConvertToTriples_seqaij_seqsbaij(Mat A,int shift,MatReuse reuse,int *nnz,int **r, int **c, PetscScalar **v)
165 {
166   const PetscInt     *ai,*aj,*ajj,*adiag,M=A->rmap->n;
167   PetscInt           nz,rnz,i,j;
168   const PetscScalar  *av,*v1;
169   PetscScalar        *val;
170   PetscErrorCode     ierr;
171   PetscInt           *row,*col;
172   Mat_SeqSBAIJ       *aa=(Mat_SeqSBAIJ*)A->data;
173 
174   PetscFunctionBegin;
175   ai=aa->i; aj=aa->j;av=aa->a;
176   adiag=aa->diag;
177   if (reuse == MAT_INITIAL_MATRIX){
178     nz = M + (aa->nz-M)/2;
179     *nnz = nz;
180     ierr = PetscMalloc((2*nz*sizeof(PetscInt)+nz*sizeof(PetscScalar)), &row);CHKERRQ(ierr);
181     col  = row + nz;
182     val  = (PetscScalar*)(col + nz);
183 
184     nz = 0;
185     for(i=0; i<M; i++) {
186       rnz = ai[i+1] - adiag[i];
187       ajj  = aj + adiag[i];
188       v1   = av + adiag[i];
189       for(j=0; j<rnz; j++) {
190 	row[nz] = i+shift; col[nz] = ajj[j] + shift; val[nz++] = v1[j];
191       }
192     }
193     *r = row; *c = col; *v = val;
194   } else {
195     nz = 0; val = *v;
196     for(i=0; i <M; i++) {
197       rnz = ai[i+1] - adiag[i];
198       ajj = aj + adiag[i];
199       v1  = av + adiag[i];
200       for(j=0; j<rnz; j++) {
201 	val[nz++] = v1[j];
202       }
203     }
204   }
205   PetscFunctionReturn(0);
206 }
207 
208 #undef __FUNCT__
209 #define __FUNCT__ "MatConvertToTriples_mpisbaij_mpisbaij"
210 PetscErrorCode MatConvertToTriples_mpisbaij_mpisbaij(Mat A,int shift,MatReuse reuse,int *nnz,int **r, int **c, PetscScalar **v)
211 {
212   const PetscInt     *ai, *aj, *bi, *bj,*garray,m=A->rmap->n,*ajj,*bjj;
213   PetscErrorCode     ierr;
214   PetscInt           rstart,nz,i,j,jj,irow,countA,countB;
215   PetscInt           *row,*col;
216   const PetscScalar  *av, *bv,*v1,*v2;
217   PetscScalar        *val;
218   Mat_MPISBAIJ       *mat =  (Mat_MPISBAIJ*)A->data;
219   Mat_SeqSBAIJ       *aa=(Mat_SeqSBAIJ*)(mat->A)->data;
220   Mat_SeqBAIJ        *bb=(Mat_SeqBAIJ*)(mat->B)->data;
221 
222   PetscFunctionBegin;
223   ai=aa->i; aj=aa->j; bi=bb->i; bj=bb->j; rstart= A->rmap->rstart;
224   garray = mat->garray;
225   av=aa->a; bv=bb->a;
226 
227   if (reuse == MAT_INITIAL_MATRIX){
228     nz = aa->nz + bb->nz;
229     *nnz = nz;
230     ierr = PetscMalloc((2*nz*sizeof(PetscInt)+nz*sizeof(PetscScalar)), &row);CHKERRQ(ierr);
231     col  = row + nz;
232     val  = (PetscScalar*)(col + nz);
233 
234     *r = row; *c = col; *v = val;
235   } else {
236     row = *r; col = *c; val = *v;
237   }
238 
239   jj = 0; irow = rstart;
240   for ( i=0; i<m; i++ ) {
241     ajj    = aj + ai[i];                 /* ptr to the beginning of this row */
242     countA = ai[i+1] - ai[i];
243     countB = bi[i+1] - bi[i];
244     bjj    = bj + bi[i];
245     v1     = av + ai[i];
246     v2     = bv + bi[i];
247 
248     /* A-part */
249     for (j=0; j<countA; j++){
250       if (reuse == MAT_INITIAL_MATRIX) {
251         row[jj] = irow + shift; col[jj] = rstart + ajj[j] + shift;
252       }
253       val[jj++] = v1[j];
254     }
255 
256     /* B-part */
257     for(j=0; j < countB; j++){
258       if (reuse == MAT_INITIAL_MATRIX) {
259 	row[jj] = irow + shift; col[jj] = garray[bjj[j]] + shift;
260       }
261       val[jj++] = v2[j];
262     }
263     irow++;
264   }
265   PetscFunctionReturn(0);
266 }
267 
268 #undef __FUNCT__
269 #define __FUNCT__ "MatConvertToTriples_mpiaij_mpiaij"
270 PetscErrorCode MatConvertToTriples_mpiaij_mpiaij(Mat A,int shift,MatReuse reuse,int *nnz,int **r, int **c, PetscScalar **v)
271 {
272   const PetscInt     *ai, *aj, *bi, *bj,*garray,m=A->rmap->n,*ajj,*bjj;
273   PetscErrorCode     ierr;
274   PetscInt           rstart,nz,i,j,jj,irow,countA,countB;
275   PetscInt           *row,*col;
276   const PetscScalar  *av, *bv,*v1,*v2;
277   PetscScalar        *val;
278   Mat_MPIAIJ         *mat =  (Mat_MPIAIJ*)A->data;
279   Mat_SeqAIJ         *aa=(Mat_SeqAIJ*)(mat->A)->data;
280   Mat_SeqAIJ         *bb=(Mat_SeqAIJ*)(mat->B)->data;
281 
282   PetscFunctionBegin;
283   ai=aa->i; aj=aa->j; bi=bb->i; bj=bb->j; rstart= A->rmap->rstart;
284   garray = mat->garray;
285   av=aa->a; bv=bb->a;
286 
287   if (reuse == MAT_INITIAL_MATRIX){
288     nz = aa->nz + bb->nz;
289     *nnz = nz;
290     ierr = PetscMalloc((2*nz*sizeof(PetscInt)+nz*sizeof(PetscScalar)), &row);CHKERRQ(ierr);
291     col  = row + nz;
292     val  = (PetscScalar*)(col + nz);
293 
294     *r = row; *c = col; *v = val;
295   } else {
296     row = *r; col = *c; val = *v;
297   }
298 
299   jj = 0; irow = rstart;
300   for ( i=0; i<m; i++ ) {
301     ajj    = aj + ai[i];                 /* ptr to the beginning of this row */
302     countA = ai[i+1] - ai[i];
303     countB = bi[i+1] - bi[i];
304     bjj    = bj + bi[i];
305     v1     = av + ai[i];
306     v2     = bv + bi[i];
307 
308     /* A-part */
309     for (j=0; j<countA; j++){
310       if (reuse == MAT_INITIAL_MATRIX){
311         row[jj] = irow + shift; col[jj] = rstart + ajj[j] + shift;
312       }
313       val[jj++] = v1[j];
314     }
315 
316     /* B-part */
317     for(j=0; j < countB; j++){
318       if (reuse == MAT_INITIAL_MATRIX){
319 	row[jj] = irow + shift; col[jj] = garray[bjj[j]] + shift;
320       }
321       val[jj++] = v2[j];
322     }
323     irow++;
324   }
325   PetscFunctionReturn(0);
326 }
327 
328 #undef __FUNCT__
329 #define __FUNCT__ "MatConvertToTriples_mpibaij_mpiaij"
330 PetscErrorCode MatConvertToTriples_mpibaij_mpiaij(Mat A,int shift,MatReuse reuse,int *nnz,int **r, int **c, PetscScalar **v)
331 {
332   Mat_MPIBAIJ        *mat =  (Mat_MPIBAIJ*)A->data;
333   Mat_SeqBAIJ        *aa=(Mat_SeqBAIJ*)(mat->A)->data;
334   Mat_SeqBAIJ        *bb=(Mat_SeqBAIJ*)(mat->B)->data;
335   const PetscInt     *ai = aa->i, *bi = bb->i, *aj = aa->j, *bj = bb->j,*ajj, *bjj;
336   const PetscInt     *garray = mat->garray,mbs=mat->mbs,rstart=A->rmap->rstart;
337   const PetscInt     bs = A->rmap->bs,bs2=mat->bs2;
338   PetscErrorCode     ierr;
339   PetscInt           nz,i,j,k,n,jj,irow,countA,countB,idx;
340   PetscInt           *row,*col;
341   const PetscScalar  *av=aa->a, *bv=bb->a,*v1,*v2;
342   PetscScalar        *val;
343 
344   PetscFunctionBegin;
345 
346   if (reuse == MAT_INITIAL_MATRIX) {
347     nz = bs2*(aa->nz + bb->nz);
348     *nnz = nz;
349     ierr = PetscMalloc((2*nz*sizeof(PetscInt)+nz*sizeof(PetscScalar)), &row);CHKERRQ(ierr);
350     col  = row + nz;
351     val  = (PetscScalar*)(col + nz);
352 
353     *r = row; *c = col; *v = val;
354   } else {
355     row = *r; col = *c; val = *v;
356   }
357 
358   jj = 0; irow = rstart;
359   for ( i=0; i<mbs; i++ ) {
360     countA = ai[i+1] - ai[i];
361     countB = bi[i+1] - bi[i];
362     ajj    = aj + ai[i];
363     bjj    = bj + bi[i];
364     v1     = av + bs2*ai[i];
365     v2     = bv + bs2*bi[i];
366 
367     idx = 0;
368     /* A-part */
369     for (k=0; k<countA; k++){
370       for (j=0; j<bs; j++) {
371 	for (n=0; n<bs; n++) {
372 	  if (reuse == MAT_INITIAL_MATRIX){
373 	    row[jj] = irow + n + shift;
374 	    col[jj] = rstart + bs*ajj[k] + j + shift;
375 	  }
376 	  val[jj++] = v1[idx++];
377 	}
378       }
379     }
380 
381     idx = 0;
382     /* B-part */
383     for(k=0; k<countB; k++){
384       for (j=0; j<bs; j++) {
385 	for (n=0; n<bs; n++) {
386 	  if (reuse == MAT_INITIAL_MATRIX){
387 	    row[jj] = irow + n + shift;
388 	    col[jj] = bs*garray[bjj[k]] + j + shift;
389 	  }
390 	  val[jj++] = v2[idx++];
391 	}
392       }
393     }
394     irow += bs;
395   }
396   PetscFunctionReturn(0);
397 }
398 
399 #undef __FUNCT__
400 #define __FUNCT__ "MatConvertToTriples_mpiaij_mpisbaij"
401 PetscErrorCode MatConvertToTriples_mpiaij_mpisbaij(Mat A,int shift,MatReuse reuse,int *nnz,int **r, int **c, PetscScalar **v)
402 {
403   const PetscInt     *ai, *aj,*adiag, *bi, *bj,*garray,m=A->rmap->n,*ajj,*bjj;
404   PetscErrorCode     ierr;
405   PetscInt           rstart,nz,nza,nzb,i,j,jj,irow,countA,countB;
406   PetscInt           *row,*col;
407   const PetscScalar  *av, *bv,*v1,*v2;
408   PetscScalar        *val;
409   Mat_MPIAIJ         *mat =  (Mat_MPIAIJ*)A->data;
410   Mat_SeqAIJ         *aa=(Mat_SeqAIJ*)(mat->A)->data;
411   Mat_SeqAIJ         *bb=(Mat_SeqAIJ*)(mat->B)->data;
412 
413   PetscFunctionBegin;
414   ai=aa->i; aj=aa->j; adiag=aa->diag;
415   bi=bb->i; bj=bb->j; garray = mat->garray;
416   av=aa->a; bv=bb->a;
417   rstart = A->rmap->rstart;
418 
419   if (reuse == MAT_INITIAL_MATRIX) {
420     nza = 0;    /* num of upper triangular entries in mat->A, including diagonals */
421     nzb = 0;    /* num of upper triangular entries in mat->B */
422     for(i=0; i<m; i++){
423       nza    += (ai[i+1] - adiag[i]);
424       countB  = bi[i+1] - bi[i];
425       bjj     = bj + bi[i];
426       for (j=0; j<countB; j++){
427         if (garray[bjj[j]] > rstart) nzb++;
428       }
429     }
430 
431     nz = nza + nzb; /* total nz of upper triangular part of mat */
432     *nnz = nz;
433     ierr = PetscMalloc((2*nz*sizeof(PetscInt)+nz*sizeof(PetscScalar)), &row);CHKERRQ(ierr);
434     col  = row + nz;
435     val  = (PetscScalar*)(col + nz);
436 
437     *r = row; *c = col; *v = val;
438   } else {
439     row = *r; col = *c; val = *v;
440   }
441 
442   jj = 0; irow = rstart;
443   for ( i=0; i<m; i++ ) {
444     ajj    = aj + adiag[i];                 /* ptr to the beginning of the diagonal of this row */
445     v1     = av + adiag[i];
446     countA = ai[i+1] - adiag[i];
447     countB = bi[i+1] - bi[i];
448     bjj    = bj + bi[i];
449     v2     = bv + bi[i];
450 
451      /* A-part */
452     for (j=0; j<countA; j++){
453       if (reuse == MAT_INITIAL_MATRIX) {
454         row[jj] = irow + shift; col[jj] = rstart + ajj[j] + shift;
455       }
456       val[jj++] = v1[j];
457     }
458 
459     /* B-part */
460     for(j=0; j < countB; j++){
461       if (garray[bjj[j]] > rstart) {
462 	if (reuse == MAT_INITIAL_MATRIX) {
463 	  row[jj] = irow + shift; col[jj] = garray[bjj[j]] + shift;
464 	}
465 	val[jj++] = v2[j];
466       }
467     }
468     irow++;
469   }
470   PetscFunctionReturn(0);
471 }
472 
473 #undef __FUNCT__
474 #define __FUNCT__ "MatDestroy_MUMPS"
475 PetscErrorCode MatDestroy_MUMPS(Mat A)
476 {
477   Mat_MUMPS      *lu=(Mat_MUMPS*)A->spptr;
478   PetscErrorCode ierr;
479 
480   PetscFunctionBegin;
481   if (lu && lu->CleanUpMUMPS) {
482     /* Terminate instance, deallocate memories */
483     ierr = PetscFree2(lu->id.sol_loc,lu->id.isol_loc);CHKERRQ(ierr);
484     ierr = VecScatterDestroy(&lu->scat_rhs);CHKERRQ(ierr);
485     ierr = VecDestroy(&lu->b_seq);CHKERRQ(ierr);
486     ierr = VecScatterDestroy(&lu->scat_sol);CHKERRQ(ierr);
487     ierr = VecDestroy(&lu->x_seq);CHKERRQ(ierr);
488     ierr=PetscFree(lu->id.perm_in);CHKERRQ(ierr);
489     ierr = PetscFree(lu->irn);CHKERRQ(ierr);
490     lu->id.job=JOB_END;
491 #if defined(PETSC_USE_COMPLEX)
492     zmumps_c(&lu->id);
493 #else
494     dmumps_c(&lu->id);
495 #endif
496     ierr = MPI_Comm_free(&(lu->comm_mumps));CHKERRQ(ierr);
497   }
498   if (lu && lu->Destroy) {
499     ierr = (lu->Destroy)(A);CHKERRQ(ierr);
500   }
501   ierr = PetscFree(A->spptr);CHKERRQ(ierr);
502 
503   /* clear composed functions */
504   ierr = PetscObjectComposeFunctionDynamic((PetscObject)A,"MatFactorGetSolverPackage_C","",PETSC_NULL);CHKERRQ(ierr);
505   ierr = PetscObjectComposeFunctionDynamic((PetscObject)A,"MatMumpsSetIcntl_C","",PETSC_NULL);CHKERRQ(ierr);
506   PetscFunctionReturn(0);
507 }
508 
509 #undef __FUNCT__
510 #define __FUNCT__ "MatSolve_MUMPS"
511 PetscErrorCode MatSolve_MUMPS(Mat A,Vec b,Vec x)
512 {
513   Mat_MUMPS      *lu=(Mat_MUMPS*)A->spptr;
514   PetscScalar    *array;
515   Vec            b_seq;
516   IS             is_iden,is_petsc;
517   PetscErrorCode ierr;
518   PetscInt       i;
519 
520   PetscFunctionBegin;
521   lu->id.nrhs = 1;
522   b_seq = lu->b_seq;
523   if (lu->size > 1){
524     /* MUMPS only supports centralized rhs. Scatter b into a seqential rhs vector */
525     ierr = VecScatterBegin(lu->scat_rhs,b,b_seq,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
526     ierr = VecScatterEnd(lu->scat_rhs,b,b_seq,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
527     if (!lu->myid) {ierr = VecGetArray(b_seq,&array);CHKERRQ(ierr);}
528   } else {  /* size == 1 */
529     ierr = VecCopy(b,x);CHKERRQ(ierr);
530     ierr = VecGetArray(x,&array);CHKERRQ(ierr);
531   }
532   if (!lu->myid) { /* define rhs on the host */
533     lu->id.nrhs = 1;
534 #if defined(PETSC_USE_COMPLEX)
535     lu->id.rhs = (mumps_double_complex*)array;
536 #else
537     lu->id.rhs = array;
538 #endif
539   }
540 
541   /* solve phase */
542   /*-------------*/
543   lu->id.job = JOB_SOLVE;
544 #if defined(PETSC_USE_COMPLEX)
545   zmumps_c(&lu->id);
546 #else
547   dmumps_c(&lu->id);
548 #endif
549   if (lu->id.INFOG(1) < 0) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error reported by MUMPS in solve phase: INFOG(1)=%d\n",lu->id.INFOG(1));
550 
551   if (lu->size > 1) { /* convert mumps distributed solution to petsc mpi x */
552     if (!lu->nSolve){ /* create scatter scat_sol */
553       ierr = ISCreateStride(PETSC_COMM_SELF,lu->id.lsol_loc,0,1,&is_iden);CHKERRQ(ierr); /* from */
554       for (i=0; i<lu->id.lsol_loc; i++){
555         lu->id.isol_loc[i] -= 1; /* change Fortran style to C style */
556       }
557       ierr = ISCreateGeneral(PETSC_COMM_SELF,lu->id.lsol_loc,lu->id.isol_loc,PETSC_COPY_VALUES,&is_petsc);CHKERRQ(ierr);  /* to */
558       ierr = VecScatterCreate(lu->x_seq,is_iden,x,is_petsc,&lu->scat_sol);CHKERRQ(ierr);
559       ierr = ISDestroy(&is_iden);CHKERRQ(ierr);
560       ierr = ISDestroy(&is_petsc);CHKERRQ(ierr);
561     }
562     ierr = VecScatterBegin(lu->scat_sol,lu->x_seq,x,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
563     ierr = VecScatterEnd(lu->scat_sol,lu->x_seq,x,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
564   }
565   lu->nSolve++;
566   PetscFunctionReturn(0);
567 }
568 
569 #undef __FUNCT__
570 #define __FUNCT__ "MatSolveTranspose_MUMPS"
571 PetscErrorCode MatSolveTranspose_MUMPS(Mat A,Vec b,Vec x)
572 {
573   Mat_MUMPS      *lu=(Mat_MUMPS*)A->spptr;
574   PetscErrorCode ierr;
575 
576   PetscFunctionBegin;
577   lu->id.ICNTL(9) = 0;
578   ierr = MatSolve_MUMPS(A,b,x);CHKERRQ(ierr);
579   lu->id.ICNTL(9) = 1;
580   PetscFunctionReturn(0);
581 }
582 
583 #undef __FUNCT__
584 #define __FUNCT__ "MatMatSolve_MUMPS"
585 PetscErrorCode MatMatSolve_MUMPS(Mat A,Mat B,Mat X)
586 {
587   PetscErrorCode ierr;
588   PetscBool      flg;
589 
590   PetscFunctionBegin;
591   ierr = PetscTypeCompareAny((PetscObject)B,&flg,MATSEQDENSE,MATMPIDENSE,PETSC_NULL);CHKERRQ(ierr);
592   if (!flg) SETERRQ(((PetscObject)A)->comm,PETSC_ERR_ARG_WRONG,"Matrix B must be MATDENSE matrix");
593   ierr = PetscTypeCompareAny((PetscObject)X,&flg,MATSEQDENSE,MATMPIDENSE,PETSC_NULL);CHKERRQ(ierr);
594   if (!flg) SETERRQ(((PetscObject)A)->comm,PETSC_ERR_ARG_WRONG,"Matrix X must be MATDENSE matrix");  SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"MatMatSolve_MUMPS() is not implemented yet");
595   PetscFunctionReturn(0);
596 }
597 
598 #if !defined(PETSC_USE_COMPLEX)
599 /*
600   input:
601    F:        numeric factor
602   output:
603    nneg:     total number of negative pivots
604    nzero:    0
605    npos:     (global dimension of F) - nneg
606 */
607 
608 #undef __FUNCT__
609 #define __FUNCT__ "MatGetInertia_SBAIJMUMPS"
610 PetscErrorCode MatGetInertia_SBAIJMUMPS(Mat F,int *nneg,int *nzero,int *npos)
611 {
612   Mat_MUMPS      *lu =(Mat_MUMPS*)F->spptr;
613   PetscErrorCode ierr;
614   PetscMPIInt    size;
615 
616   PetscFunctionBegin;
617   ierr = MPI_Comm_size(((PetscObject)F)->comm,&size);CHKERRQ(ierr);
618   /* MUMPS 4.3.1 calls ScaLAPACK when ICNTL(13)=0 (default), which does not offer the possibility to compute the inertia of a dense matrix. Set ICNTL(13)=1 to skip ScaLAPACK */
619   if (size > 1 && lu->id.ICNTL(13) != 1) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"ICNTL(13)=%d. -mat_mumps_icntl_13 must be set as 1 for correct global matrix inertia\n",lu->id.INFOG(13));
620   if (nneg){
621     if (!lu->myid){
622       *nneg = lu->id.INFOG(12);
623     }
624     ierr = MPI_Bcast(nneg,1,MPI_INT,0,lu->comm_mumps);CHKERRQ(ierr);
625   }
626   if (nzero) *nzero = 0;
627   if (npos)  *npos  = F->rmap->N - (*nneg);
628   PetscFunctionReturn(0);
629 }
630 #endif /* !defined(PETSC_USE_COMPLEX) */
631 
632 #undef __FUNCT__
633 #define __FUNCT__ "MatFactorNumeric_MUMPS"
634 PetscErrorCode MatFactorNumeric_MUMPS(Mat F,Mat A,const MatFactorInfo *info)
635 {
636   Mat_MUMPS       *lu =(Mat_MUMPS*)(F)->spptr;
637   PetscErrorCode  ierr;
638   MatReuse        reuse;
639   Mat             F_diag;
640   PetscBool       isMPIAIJ;
641 
642   PetscFunctionBegin;
643   reuse = MAT_REUSE_MATRIX;
644   ierr = (*lu->ConvertToTriples)(A, 1, reuse, &lu->nz, &lu->irn, &lu->jcn, &lu->val);CHKERRQ(ierr);
645 
646   /* numerical factorization phase */
647   /*-------------------------------*/
648   lu->id.job = JOB_FACTNUMERIC;
649   if(!lu->id.ICNTL(18)) {
650     if (!lu->myid) {
651 #if defined(PETSC_USE_COMPLEX)
652       lu->id.a = (mumps_double_complex*)lu->val;
653 #else
654       lu->id.a = lu->val;
655 #endif
656     }
657   } else {
658 #if defined(PETSC_USE_COMPLEX)
659     lu->id.a_loc = (mumps_double_complex*)lu->val;
660 #else
661     lu->id.a_loc = lu->val;
662 #endif
663   }
664 #if defined(PETSC_USE_COMPLEX)
665   zmumps_c(&lu->id);
666 #else
667   dmumps_c(&lu->id);
668 #endif
669   if (lu->id.INFOG(1) < 0) {
670     if (lu->id.INFO(1) == -13) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error reported by MUMPS in numerical factorization phase: Cannot allocate required memory %d megabytes\n",lu->id.INFO(2));
671     else SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error reported by MUMPS in numerical factorization phase: INFO(1)=%d, INFO(2)=%d\n",lu->id.INFO(1),lu->id.INFO(2));
672   }
673   if (!lu->myid && lu->id.ICNTL(16) > 0) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"  lu->id.ICNTL(16):=%d\n",lu->id.INFOG(16));
674 
675   if (lu->size > 1){
676     ierr = PetscTypeCompare((PetscObject)A,MATMPIAIJ,&isMPIAIJ);CHKERRQ(ierr);
677     if(isMPIAIJ) {
678       F_diag = ((Mat_MPIAIJ *)(F)->data)->A;
679     } else {
680       F_diag = ((Mat_MPISBAIJ *)(F)->data)->A;
681     }
682     F_diag->assembled = PETSC_TRUE;
683     if (lu->nSolve){
684       ierr = VecScatterDestroy(&lu->scat_sol);CHKERRQ(ierr);
685       ierr = PetscFree2(lu->id.sol_loc,lu->id.isol_loc);CHKERRQ(ierr);
686       ierr = VecDestroy(&lu->x_seq);CHKERRQ(ierr);
687     }
688   }
689   (F)->assembled   = PETSC_TRUE;
690   lu->matstruc     = SAME_NONZERO_PATTERN;
691   lu->CleanUpMUMPS = PETSC_TRUE;
692   lu->nSolve       = 0;
693 
694   if (lu->size > 1){
695     /* distributed solution */
696     lu->id.ICNTL(21) = 1;
697     if (!lu->nSolve){
698       /* Create x_seq=sol_loc for repeated use */
699       PetscInt    lsol_loc;
700       PetscScalar *sol_loc;
701       lsol_loc = lu->id.INFO(23); /* length of sol_loc */
702       ierr = PetscMalloc2(lsol_loc,PetscScalar,&sol_loc,lsol_loc,PetscInt,&lu->id.isol_loc);CHKERRQ(ierr);
703       lu->id.lsol_loc = lsol_loc;
704 #if defined(PETSC_USE_COMPLEX)
705       lu->id.sol_loc  = (mumps_double_complex*)sol_loc;
706 #else
707       lu->id.sol_loc  = sol_loc;
708 #endif
709       ierr = VecCreateSeqWithArray(PETSC_COMM_SELF,lsol_loc,sol_loc,&lu->x_seq);CHKERRQ(ierr);
710     }
711   }
712   PetscFunctionReturn(0);
713 }
714 
715 #undef __FUNCT__
716 #define __FUNCT__ "PetscSetMUMPSOptions"
717 PetscErrorCode PetscSetMUMPSOptions(Mat F, Mat A)
718 {
719   Mat_MUMPS        *lu = (Mat_MUMPS*)F->spptr;
720   PetscErrorCode   ierr;
721   PetscInt         icntl;
722   PetscBool        flg;
723 
724   PetscFunctionBegin;
725   ierr = PetscOptionsBegin(((PetscObject)A)->comm,((PetscObject)A)->prefix,"MUMPS Options","Mat");CHKERRQ(ierr);
726   if (lu->size == 1){
727     lu->id.ICNTL(18) = 0;   /* centralized assembled matrix input */
728   } else {
729     lu->id.ICNTL(18) = 3;   /* distributed assembled matrix input */
730   }
731 
732   icntl=-1;
733   lu->id.ICNTL(4) = 0;  /* level of printing; overwrite mumps default ICNTL(4)=2 */
734   ierr = PetscOptionsInt("-mat_mumps_icntl_4","ICNTL(4): level of printing (0 to 4)","None",lu->id.ICNTL(4),&icntl,&flg);CHKERRQ(ierr);
735   if ((flg && icntl > 0) || PetscLogPrintInfo) {
736     lu->id.ICNTL(4)=icntl; /* and use mumps default icntl(i), i=1,2,3 */
737   } else { /* no output */
738     lu->id.ICNTL(1) = 0;  /* error message, default= 6 */
739     lu->id.ICNTL(2) = 0;  /* output stream for diagnostic printing, statistics, and warning. default=0 */
740     lu->id.ICNTL(3) = 0; /* output stream for global information, default=6 */
741   }
742   ierr = PetscOptionsInt("-mat_mumps_icntl_6","ICNTL(6): column permutation and/or scaling to get a zero-free diagonal (0 to 7)","None",lu->id.ICNTL(6),&lu->id.ICNTL(6),PETSC_NULL);CHKERRQ(ierr);
743   icntl=-1;
744   ierr = PetscOptionsInt("-mat_mumps_icntl_7","ICNTL(7): sequential matrix ordering (0 to 7) 3 = Scotch, 5 = Metis","None",lu->id.ICNTL(7),&icntl,&flg);CHKERRQ(ierr);
745   if (flg) {
746     if (icntl== 1 && lu->size > 1){
747       SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"pivot order be set by the user in PERM_IN -- not supported by the PETSc/MUMPS interface\n");
748     } else {
749       lu->id.ICNTL(7) = icntl;
750     }
751   }
752 
753   ierr = PetscOptionsInt("-mat_mumps_icntl_8","ICNTL(8): scaling strategy (-2 to 7 or 77)","None",lu->id.ICNTL(8),&lu->id.ICNTL(8),PETSC_NULL);CHKERRQ(ierr);
754   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);
755   ierr = PetscOptionsInt("-mat_mumps_icntl_11","ICNTL(11): statistics related to the linear system solved (via -ksp_view)","None",lu->id.ICNTL(11),&lu->id.ICNTL(11),PETSC_NULL);CHKERRQ(ierr);
756   ierr = PetscOptionsInt("-mat_mumps_icntl_12","ICNTL(12): efficiency control: defines the ordering strategy with scaling constraints (0 to 3","None",lu->id.ICNTL(12),&lu->id.ICNTL(12),PETSC_NULL);CHKERRQ(ierr);
757   ierr = PetscOptionsInt("-mat_mumps_icntl_13","ICNTL(13): efficiency control: with or without ScaLAPACK","None",lu->id.ICNTL(13),&lu->id.ICNTL(13),PETSC_NULL);CHKERRQ(ierr);
758   ierr = PetscOptionsInt("-mat_mumps_icntl_14","ICNTL(14): percentage of estimated workspace increase","None",lu->id.ICNTL(14),&lu->id.ICNTL(14),PETSC_NULL);CHKERRQ(ierr);
759   ierr = PetscOptionsInt("-mat_mumps_icntl_19","ICNTL(19): Schur complement","None",lu->id.ICNTL(19),&lu->id.ICNTL(19),PETSC_NULL);CHKERRQ(ierr);
760 
761   ierr = PetscOptionsInt("-mat_mumps_icntl_22","ICNTL(22): in-core/out-of-core facility (0 or 1)","None",lu->id.ICNTL(22),&lu->id.ICNTL(22),PETSC_NULL);CHKERRQ(ierr);
762   ierr = PetscOptionsInt("-mat_mumps_icntl_23","ICNTL(23): max size of the working memory (MB) that can allocate per processor","None",lu->id.ICNTL(23),&lu->id.ICNTL(23),PETSC_NULL);CHKERRQ(ierr);
763   ierr = PetscOptionsInt("-mat_mumps_icntl_24","ICNTL(24): detection of null pivot rows (0 or 1)","None",lu->id.ICNTL(24),&lu->id.ICNTL(24),PETSC_NULL);CHKERRQ(ierr);
764   if (lu->id.ICNTL(24)){
765     lu->id.ICNTL(13) = 1; /* turn-off ScaLAPACK to help with the correct detection of null pivots */
766   }
767 
768   ierr = PetscOptionsInt("-mat_mumps_icntl_25","ICNTL(25): computation of a null space basis","None",lu->id.ICNTL(25),&lu->id.ICNTL(25),PETSC_NULL);CHKERRQ(ierr);
769   ierr = PetscOptionsInt("-mat_mumps_icntl_26","ICNTL(26): Schur options for right-hand side or solution vector","None",lu->id.ICNTL(26),&lu->id.ICNTL(26),PETSC_NULL);CHKERRQ(ierr);
770   ierr = PetscOptionsInt("-mat_mumps_icntl_27","ICNTL(27): experimental parameter","None",lu->id.ICNTL(27),&lu->id.ICNTL(27),PETSC_NULL);CHKERRQ(ierr);
771   ierr = PetscOptionsInt("-mat_mumps_icntl_28","ICNTL(28): use 1 for sequential analysis and ictnl(7) ordering, or 2 for parallel analysis and ictnl(29) ordering","None",lu->id.ICNTL(28),&lu->id.ICNTL(28),PETSC_NULL);CHKERRQ(ierr);
772   ierr = PetscOptionsInt("-mat_mumps_icntl_29","ICNTL(29): parallel ordering 1 = ptscotch 2 = parmetis","None",lu->id.ICNTL(29),&lu->id.ICNTL(29),PETSC_NULL);CHKERRQ(ierr);
773 
774   ierr = PetscOptionsReal("-mat_mumps_cntl_1","CNTL(1): relative pivoting threshold","None",lu->id.CNTL(1),&lu->id.CNTL(1),PETSC_NULL);CHKERRQ(ierr);
775   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);
776   ierr = PetscOptionsReal("-mat_mumps_cntl_3","CNTL(3): absolute pivoting threshold","None",lu->id.CNTL(3),&lu->id.CNTL(3),PETSC_NULL);CHKERRQ(ierr);
777   ierr = PetscOptionsReal("-mat_mumps_cntl_4","CNTL(4): value for static pivoting","None",lu->id.CNTL(4),&lu->id.CNTL(4),PETSC_NULL);CHKERRQ(ierr);
778   ierr = PetscOptionsReal("-mat_mumps_cntl_5","CNTL(5): fixation for null pivots","None",lu->id.CNTL(5),&lu->id.CNTL(5),PETSC_NULL);CHKERRQ(ierr);
779   PetscOptionsEnd();
780   PetscFunctionReturn(0);
781 }
782 
783 #undef __FUNCT__
784 #define __FUNCT__ "PetscInitializeMUMPS"
785 PetscErrorCode PetscInitializeMUMPS(Mat A,Mat_MUMPS* mumps)
786 {
787   PetscErrorCode  ierr;
788 
789   PetscFunctionBegin;
790   ierr = MPI_Comm_rank(((PetscObject)A)->comm, &mumps->myid);
791   ierr = MPI_Comm_size(((PetscObject)A)->comm,&mumps->size);CHKERRQ(ierr);
792   ierr = MPI_Comm_dup(((PetscObject)A)->comm,&(mumps->comm_mumps));CHKERRQ(ierr);
793   mumps->id.comm_fortran = MPI_Comm_c2f(mumps->comm_mumps);
794 
795   mumps->id.job = JOB_INIT;
796   mumps->id.par = 1;  /* host participates factorizaton and solve */
797   mumps->id.sym = mumps->sym;
798 #if defined(PETSC_USE_COMPLEX)
799   zmumps_c(&mumps->id);
800 #else
801   dmumps_c(&mumps->id);
802 #endif
803 
804   mumps->CleanUpMUMPS = PETSC_FALSE;
805   mumps->scat_rhs     = PETSC_NULL;
806   mumps->scat_sol     = PETSC_NULL;
807   mumps->nSolve       = 0;
808   PetscFunctionReturn(0);
809 }
810 
811 /* Note the Petsc r and c permutations are ignored */
812 #undef __FUNCT__
813 #define __FUNCT__ "MatLUFactorSymbolic_AIJMUMPS"
814 PetscErrorCode MatLUFactorSymbolic_AIJMUMPS(Mat F,Mat A,IS r,IS c,const MatFactorInfo *info)
815 {
816   Mat_MUMPS          *lu = (Mat_MUMPS*)F->spptr;
817   PetscErrorCode     ierr;
818   MatReuse           reuse;
819   Vec                b;
820   IS                 is_iden;
821   const PetscInt     M = A->rmap->N;
822 
823   PetscFunctionBegin;
824   lu->matstruc = DIFFERENT_NONZERO_PATTERN;
825 
826   /* Set MUMPS options */
827   ierr = PetscSetMUMPSOptions(F,A);CHKERRQ(ierr);
828 
829   reuse = MAT_INITIAL_MATRIX;
830   ierr = (*lu->ConvertToTriples)(A, 1, reuse, &lu->nz, &lu->irn, &lu->jcn, &lu->val);CHKERRQ(ierr);
831 
832   /* analysis phase */
833   /*----------------*/
834   lu->id.job = JOB_FACTSYMBOLIC;
835   lu->id.n = M;
836   switch (lu->id.ICNTL(18)){
837   case 0:  /* centralized assembled matrix input */
838     if (!lu->myid) {
839       lu->id.nz =lu->nz; lu->id.irn=lu->irn; lu->id.jcn=lu->jcn;
840       if (lu->id.ICNTL(6)>1){
841 #if defined(PETSC_USE_COMPLEX)
842         lu->id.a = (mumps_double_complex*)lu->val;
843 #else
844         lu->id.a = lu->val;
845 #endif
846       }
847       if (lu->id.ICNTL(7) == 1){ /* use user-provide matrix ordering */
848         if (!lu->myid) {
849           const PetscInt *idx;
850           PetscInt i,*perm_in;
851           ierr = PetscMalloc(M*sizeof(PetscInt),&perm_in);CHKERRQ(ierr);
852           ierr = ISGetIndices(r,&idx);CHKERRQ(ierr);
853           lu->id.perm_in = perm_in;
854           for (i=0; i<M; i++) perm_in[i] = idx[i]+1; /* perm_in[]: start from 1, not 0! */
855           ierr = ISRestoreIndices(r,&idx);CHKERRQ(ierr);
856         }
857       }
858     }
859     break;
860   case 3:  /* distributed assembled matrix input (size>1) */
861     lu->id.nz_loc = lu->nz;
862     lu->id.irn_loc=lu->irn; lu->id.jcn_loc=lu->jcn;
863     if (lu->id.ICNTL(6)>1) {
864 #if defined(PETSC_USE_COMPLEX)
865       lu->id.a_loc = (mumps_double_complex*)lu->val;
866 #else
867       lu->id.a_loc = lu->val;
868 #endif
869     }
870     /* MUMPS only supports centralized rhs. Create scatter scat_rhs for repeated use in MatSolve() */
871     if (!lu->myid){
872       ierr = VecCreateSeq(PETSC_COMM_SELF,A->cmap->N,&lu->b_seq);CHKERRQ(ierr);
873       ierr = ISCreateStride(PETSC_COMM_SELF,A->cmap->N,0,1,&is_iden);CHKERRQ(ierr);
874     } else {
875       ierr = VecCreateSeq(PETSC_COMM_SELF,0,&lu->b_seq);CHKERRQ(ierr);
876       ierr = ISCreateStride(PETSC_COMM_SELF,0,0,1,&is_iden);CHKERRQ(ierr);
877     }
878     ierr = VecCreate(((PetscObject)A)->comm,&b);CHKERRQ(ierr);
879     ierr = VecSetSizes(b,A->rmap->n,PETSC_DECIDE);CHKERRQ(ierr);
880     ierr = VecSetFromOptions(b);CHKERRQ(ierr);
881 
882     ierr = VecScatterCreate(b,is_iden,lu->b_seq,is_iden,&lu->scat_rhs);CHKERRQ(ierr);
883     ierr = ISDestroy(&is_iden);CHKERRQ(ierr);
884     ierr = VecDestroy(&b);CHKERRQ(ierr);
885     break;
886     }
887 #if defined(PETSC_USE_COMPLEX)
888   zmumps_c(&lu->id);
889 #else
890   dmumps_c(&lu->id);
891 #endif
892   if (lu->id.INFOG(1) < 0) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error reported by MUMPS in analysis phase: INFOG(1)=%d\n",lu->id.INFOG(1));
893 
894   F->ops->lufactornumeric  = MatFactorNumeric_MUMPS;
895   F->ops->solve            = MatSolve_MUMPS;
896   F->ops->solvetranspose   = MatSolveTranspose_MUMPS;
897   F->ops->matsolve         = MatMatSolve_MUMPS;
898   PetscFunctionReturn(0);
899 }
900 
901 /* Note the Petsc r and c permutations are ignored */
902 #undef __FUNCT__
903 #define __FUNCT__ "MatLUFactorSymbolic_BAIJMUMPS"
904 PetscErrorCode MatLUFactorSymbolic_BAIJMUMPS(Mat F,Mat A,IS r,IS c,const MatFactorInfo *info)
905 {
906 
907   Mat_MUMPS       *lu = (Mat_MUMPS*)F->spptr;
908   PetscErrorCode  ierr;
909   MatReuse        reuse;
910   Vec             b;
911   IS              is_iden;
912   const PetscInt  M = A->rmap->N;
913 
914   PetscFunctionBegin;
915   lu->matstruc = DIFFERENT_NONZERO_PATTERN;
916 
917   /* Set MUMPS options */
918   ierr = PetscSetMUMPSOptions(F,A);CHKERRQ(ierr);
919 
920   reuse = MAT_INITIAL_MATRIX;
921   ierr = (*lu->ConvertToTriples)(A, 1, reuse, &lu->nz, &lu->irn, &lu->jcn, &lu->val);CHKERRQ(ierr);
922 
923   /* analysis phase */
924   /*----------------*/
925   lu->id.job = JOB_FACTSYMBOLIC;
926   lu->id.n = M;
927   switch (lu->id.ICNTL(18)){
928   case 0:  /* centralized assembled matrix input */
929     if (!lu->myid) {
930       lu->id.nz =lu->nz; lu->id.irn=lu->irn; lu->id.jcn=lu->jcn;
931       if (lu->id.ICNTL(6)>1){
932 #if defined(PETSC_USE_COMPLEX)
933         lu->id.a = (mumps_double_complex*)lu->val;
934 #else
935         lu->id.a = lu->val;
936 #endif
937       }
938     }
939     break;
940   case 3:  /* distributed assembled matrix input (size>1) */
941     lu->id.nz_loc = lu->nz;
942     lu->id.irn_loc=lu->irn; lu->id.jcn_loc=lu->jcn;
943     if (lu->id.ICNTL(6)>1) {
944 #if defined(PETSC_USE_COMPLEX)
945       lu->id.a_loc = (mumps_double_complex*)lu->val;
946 #else
947       lu->id.a_loc = lu->val;
948 #endif
949     }
950     /* MUMPS only supports centralized rhs. Create scatter scat_rhs for repeated use in MatSolve() */
951     if (!lu->myid){
952       ierr = VecCreateSeq(PETSC_COMM_SELF,A->cmap->N,&lu->b_seq);CHKERRQ(ierr);
953       ierr = ISCreateStride(PETSC_COMM_SELF,A->cmap->N,0,1,&is_iden);CHKERRQ(ierr);
954     } else {
955       ierr = VecCreateSeq(PETSC_COMM_SELF,0,&lu->b_seq);CHKERRQ(ierr);
956       ierr = ISCreateStride(PETSC_COMM_SELF,0,0,1,&is_iden);CHKERRQ(ierr);
957     }
958     ierr = VecCreate(((PetscObject)A)->comm,&b);CHKERRQ(ierr);
959     ierr = VecSetSizes(b,A->rmap->n,PETSC_DECIDE);CHKERRQ(ierr);
960     ierr = VecSetFromOptions(b);CHKERRQ(ierr);
961 
962     ierr = VecScatterCreate(b,is_iden,lu->b_seq,is_iden,&lu->scat_rhs);CHKERRQ(ierr);
963     ierr = ISDestroy(&is_iden);CHKERRQ(ierr);
964     ierr = VecDestroy(&b);CHKERRQ(ierr);
965     break;
966     }
967 #if defined(PETSC_USE_COMPLEX)
968   zmumps_c(&lu->id);
969 #else
970   dmumps_c(&lu->id);
971 #endif
972   if (lu->id.INFOG(1) < 0) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error reported by MUMPS in analysis phase: INFOG(1)=%d\n",lu->id.INFOG(1));
973 
974   F->ops->lufactornumeric  = MatFactorNumeric_MUMPS;
975   F->ops->solve            = MatSolve_MUMPS;
976   F->ops->solvetranspose   = MatSolveTranspose_MUMPS;
977   PetscFunctionReturn(0);
978 }
979 
980 /* Note the Petsc r permutation and factor info are ignored */
981 #undef __FUNCT__
982 #define __FUNCT__ "MatCholeskyFactorSymbolic_MUMPS"
983 PetscErrorCode MatCholeskyFactorSymbolic_MUMPS(Mat F,Mat A,IS r,const MatFactorInfo *info)
984 {
985   Mat_MUMPS          *lu = (Mat_MUMPS*)F->spptr;
986   PetscErrorCode     ierr;
987   MatReuse           reuse;
988   Vec                b;
989   IS                 is_iden;
990   const PetscInt     M = A->rmap->N;
991 
992   PetscFunctionBegin;
993   lu->matstruc = DIFFERENT_NONZERO_PATTERN;
994 
995   /* Set MUMPS options */
996   ierr = PetscSetMUMPSOptions(F,A);CHKERRQ(ierr);
997 
998   reuse = MAT_INITIAL_MATRIX;
999   ierr = (*lu->ConvertToTriples)(A, 1 , reuse, &lu->nz, &lu->irn, &lu->jcn, &lu->val);CHKERRQ(ierr);
1000 
1001   /* analysis phase */
1002   /*----------------*/
1003   lu->id.job = JOB_FACTSYMBOLIC;
1004   lu->id.n = M;
1005   switch (lu->id.ICNTL(18)){
1006   case 0:  /* centralized assembled matrix input */
1007     if (!lu->myid) {
1008       lu->id.nz =lu->nz; lu->id.irn=lu->irn; lu->id.jcn=lu->jcn;
1009       if (lu->id.ICNTL(6)>1){
1010 #if defined(PETSC_USE_COMPLEX)
1011         lu->id.a = (mumps_double_complex*)lu->val;
1012 #else
1013         lu->id.a = lu->val;
1014 #endif
1015       }
1016     }
1017     break;
1018   case 3:  /* distributed assembled matrix input (size>1) */
1019     lu->id.nz_loc = lu->nz;
1020     lu->id.irn_loc=lu->irn; lu->id.jcn_loc=lu->jcn;
1021     if (lu->id.ICNTL(6)>1) {
1022 #if defined(PETSC_USE_COMPLEX)
1023       lu->id.a_loc = (mumps_double_complex*)lu->val;
1024 #else
1025       lu->id.a_loc = lu->val;
1026 #endif
1027     }
1028     /* MUMPS only supports centralized rhs. Create scatter scat_rhs for repeated use in MatSolve() */
1029     if (!lu->myid){
1030       ierr = VecCreateSeq(PETSC_COMM_SELF,A->cmap->N,&lu->b_seq);CHKERRQ(ierr);
1031       ierr = ISCreateStride(PETSC_COMM_SELF,A->cmap->N,0,1,&is_iden);CHKERRQ(ierr);
1032     } else {
1033       ierr = VecCreateSeq(PETSC_COMM_SELF,0,&lu->b_seq);CHKERRQ(ierr);
1034       ierr = ISCreateStride(PETSC_COMM_SELF,0,0,1,&is_iden);CHKERRQ(ierr);
1035     }
1036     ierr = VecCreate(((PetscObject)A)->comm,&b);CHKERRQ(ierr);
1037     ierr = VecSetSizes(b,A->rmap->n,PETSC_DECIDE);CHKERRQ(ierr);
1038     ierr = VecSetFromOptions(b);CHKERRQ(ierr);
1039 
1040     ierr = VecScatterCreate(b,is_iden,lu->b_seq,is_iden,&lu->scat_rhs);CHKERRQ(ierr);
1041     ierr = ISDestroy(&is_iden);CHKERRQ(ierr);
1042     ierr = VecDestroy(&b);CHKERRQ(ierr);
1043     break;
1044     }
1045 #if defined(PETSC_USE_COMPLEX)
1046   zmumps_c(&lu->id);
1047 #else
1048   dmumps_c(&lu->id);
1049 #endif
1050   if (lu->id.INFOG(1) < 0) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error reported by MUMPS in analysis phase: INFOG(1)=%d\n",lu->id.INFOG(1));
1051 
1052   F->ops->choleskyfactornumeric = MatFactorNumeric_MUMPS;
1053   F->ops->solve                 = MatSolve_MUMPS;
1054   F->ops->solvetranspose        = MatSolve_MUMPS;
1055 #if !defined(PETSC_USE_COMPLEX)
1056   F->ops->getinertia            = MatGetInertia_SBAIJMUMPS;
1057 #else
1058   F->ops->getinertia            = PETSC_NULL;
1059 #endif
1060   PetscFunctionReturn(0);
1061 }
1062 
1063 #undef __FUNCT__
1064 #define __FUNCT__ "MatView_MUMPS"
1065 PetscErrorCode MatView_MUMPS(Mat A,PetscViewer viewer)
1066 {
1067   PetscErrorCode    ierr;
1068   PetscBool         iascii;
1069   PetscViewerFormat format;
1070   Mat_MUMPS         *lu=(Mat_MUMPS*)A->spptr;
1071 
1072   PetscFunctionBegin;
1073   /* check if matrix is mumps type */
1074   if (A->ops->solve != MatSolve_MUMPS) PetscFunctionReturn(0);
1075 
1076   ierr = PetscTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&iascii);CHKERRQ(ierr);
1077   if (iascii) {
1078     ierr = PetscViewerGetFormat(viewer,&format);CHKERRQ(ierr);
1079     if (format == PETSC_VIEWER_ASCII_INFO){
1080       ierr = PetscViewerASCIIPrintf(viewer,"MUMPS run parameters:\n");CHKERRQ(ierr);
1081       ierr = PetscViewerASCIIPrintf(viewer,"  SYM (matrix type):                   %d \n",lu->id.sym);CHKERRQ(ierr);
1082       ierr = PetscViewerASCIIPrintf(viewer,"  PAR (host participation):            %d \n",lu->id.par);CHKERRQ(ierr);
1083       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(1) (output for error):         %d \n",lu->id.ICNTL(1));CHKERRQ(ierr);
1084       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(2) (output of diagnostic msg): %d \n",lu->id.ICNTL(2));CHKERRQ(ierr);
1085       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(3) (output for global info):   %d \n",lu->id.ICNTL(3));CHKERRQ(ierr);
1086       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(4) (level of printing):        %d \n",lu->id.ICNTL(4));CHKERRQ(ierr);
1087       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(5) (input mat struct):         %d \n",lu->id.ICNTL(5));CHKERRQ(ierr);
1088       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(6) (matrix prescaling):        %d \n",lu->id.ICNTL(6));CHKERRQ(ierr);
1089       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(7) (sequentia matrix ordering):%d \n",lu->id.ICNTL(7));CHKERRQ(ierr);
1090       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(8) (scalling strategy):        %d \n",lu->id.ICNTL(8));CHKERRQ(ierr);
1091       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(10) (max num of refinements):  %d \n",lu->id.ICNTL(10));CHKERRQ(ierr);
1092       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(11) (error analysis):          %d \n",lu->id.ICNTL(11));CHKERRQ(ierr);
1093       if (lu->id.ICNTL(11)>0) {
1094         ierr = PetscViewerASCIIPrintf(viewer,"    RINFOG(4) (inf norm of input mat):        %g\n",lu->id.RINFOG(4));CHKERRQ(ierr);
1095         ierr = PetscViewerASCIIPrintf(viewer,"    RINFOG(5) (inf norm of solution):         %g\n",lu->id.RINFOG(5));CHKERRQ(ierr);
1096         ierr = PetscViewerASCIIPrintf(viewer,"    RINFOG(6) (inf norm of residual):         %g\n",lu->id.RINFOG(6));CHKERRQ(ierr);
1097         ierr = PetscViewerASCIIPrintf(viewer,"    RINFOG(7),RINFOG(8) (backward error est): %g, %g\n",lu->id.RINFOG(7),lu->id.RINFOG(8));CHKERRQ(ierr);
1098         ierr = PetscViewerASCIIPrintf(viewer,"    RINFOG(9) (error estimate):               %g \n",lu->id.RINFOG(9));CHKERRQ(ierr);
1099         ierr = PetscViewerASCIIPrintf(viewer,"    RINFOG(10),RINFOG(11)(condition numbers): %g, %g\n",lu->id.RINFOG(10),lu->id.RINFOG(11));CHKERRQ(ierr);
1100       }
1101       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(12) (efficiency control):                         %d \n",lu->id.ICNTL(12));CHKERRQ(ierr);
1102       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(13) (efficiency control):                         %d \n",lu->id.ICNTL(13));CHKERRQ(ierr);
1103       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(14) (percentage of estimated workspace increase): %d \n",lu->id.ICNTL(14));CHKERRQ(ierr);
1104       /* ICNTL(15-17) not used */
1105       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(18) (input mat struct):                           %d \n",lu->id.ICNTL(18));CHKERRQ(ierr);
1106       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(19) (Shur complement info):                       %d \n",lu->id.ICNTL(19));CHKERRQ(ierr);
1107       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(20) (rhs sparse pattern):                         %d \n",lu->id.ICNTL(20));CHKERRQ(ierr);
1108       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(21) (solution struct):                            %d \n",lu->id.ICNTL(21));CHKERRQ(ierr);
1109       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(22) (in-core/out-of-core facility):               %d \n",lu->id.ICNTL(22));CHKERRQ(ierr);
1110       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(23) (max size of memory can be allocated locally):%d \n",lu->id.ICNTL(23));CHKERRQ(ierr);
1111 
1112       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(24) (detection of null pivot rows):               %d \n",lu->id.ICNTL(24));CHKERRQ(ierr);
1113       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(25) (computation of a null space basis):          %d \n",lu->id.ICNTL(25));CHKERRQ(ierr);
1114       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(26) (Schur options for rhs or solution):          %d \n",lu->id.ICNTL(26));CHKERRQ(ierr);
1115       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(27) (experimental parameter):                     %d \n",lu->id.ICNTL(27));CHKERRQ(ierr);
1116       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(28) (Use parallel or sequential ordering):        %d \n",lu->id.ICNTL(28));CHKERRQ(ierr);
1117       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(29) (Parallel ordering):                          %d \n",lu->id.ICNTL(29));CHKERRQ(ierr);
1118 
1119       ierr = PetscViewerASCIIPrintf(viewer,"  CNTL(1) (relative pivoting threshold):      %g \n",lu->id.CNTL(1));CHKERRQ(ierr);
1120       ierr = PetscViewerASCIIPrintf(viewer,"  CNTL(2) (stopping criterion of refinement): %g \n",lu->id.CNTL(2));CHKERRQ(ierr);
1121       ierr = PetscViewerASCIIPrintf(viewer,"  CNTL(3) (absolute pivoting threshold):      %g \n",lu->id.CNTL(3));CHKERRQ(ierr);
1122       ierr = PetscViewerASCIIPrintf(viewer,"  CNTL(4) (value of static pivoting):         %g \n",lu->id.CNTL(4));CHKERRQ(ierr);
1123       ierr = PetscViewerASCIIPrintf(viewer,"  CNTL(5) (fixation for null pivots):         %g \n",lu->id.CNTL(5));CHKERRQ(ierr);
1124 
1125       /* infomation local to each processor */
1126       ierr = PetscViewerASCIIPrintf(viewer, "  RINFO(1) (local estimated flops for the elimination after analysis): \n");CHKERRQ(ierr);
1127       ierr = PetscViewerASCIISynchronizedAllow(viewer,PETSC_TRUE);CHKERRQ(ierr);
1128       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"    [%d] %g \n",lu->myid,lu->id.RINFO(1));CHKERRQ(ierr);
1129       ierr = PetscViewerFlush(viewer);
1130       ierr = PetscViewerASCIIPrintf(viewer, "  RINFO(2) (local estimated flops for the assembly after factorization): \n");CHKERRQ(ierr);
1131       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"    [%d]  %g \n",lu->myid,lu->id.RINFO(2));CHKERRQ(ierr);
1132       ierr = PetscViewerFlush(viewer);
1133       ierr = PetscViewerASCIIPrintf(viewer, "  RINFO(3) (local estimated flops for the elimination after factorization): \n");CHKERRQ(ierr);
1134       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"    [%d]  %g \n",lu->myid,lu->id.RINFO(3));CHKERRQ(ierr);
1135       ierr = PetscViewerFlush(viewer);
1136 
1137       ierr = PetscViewerASCIIPrintf(viewer, "  INFO(15) (estimated size of (in MB) MUMPS internal data for running numerical factorization): \n");CHKERRQ(ierr);
1138       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"  [%d] %d \n",lu->myid,lu->id.INFO(15));CHKERRQ(ierr);
1139       ierr = PetscViewerFlush(viewer);
1140 
1141       ierr = PetscViewerASCIIPrintf(viewer, "  INFO(16) (size of (in MB) MUMPS internal data used during numerical factorization): \n");CHKERRQ(ierr);
1142       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"    [%d] %d \n",lu->myid,lu->id.INFO(16));CHKERRQ(ierr);
1143       ierr = PetscViewerFlush(viewer);
1144 
1145       ierr = PetscViewerASCIIPrintf(viewer, "  INFO(23) (num of pivots eliminated on this processor after factorization): \n");CHKERRQ(ierr);
1146       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"    [%d] %d \n",lu->myid,lu->id.INFO(23));CHKERRQ(ierr);
1147       ierr = PetscViewerFlush(viewer);
1148       ierr = PetscViewerASCIISynchronizedAllow(viewer,PETSC_FALSE);CHKERRQ(ierr);
1149 
1150       if (!lu->myid){ /* information from the host */
1151         ierr = PetscViewerASCIIPrintf(viewer,"  RINFOG(1) (global estimated flops for the elimination after analysis): %g \n",lu->id.RINFOG(1));CHKERRQ(ierr);
1152         ierr = PetscViewerASCIIPrintf(viewer,"  RINFOG(2) (global estimated flops for the assembly after factorization): %g \n",lu->id.RINFOG(2));CHKERRQ(ierr);
1153         ierr = PetscViewerASCIIPrintf(viewer,"  RINFOG(3) (global estimated flops for the elimination after factorization): %g \n",lu->id.RINFOG(3));CHKERRQ(ierr);
1154 
1155         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(3) (estimated real workspace for factors on all processors after analysis): %d \n",lu->id.INFOG(3));CHKERRQ(ierr);
1156         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(4) (estimated integer workspace for factors on all processors after analysis): %d \n",lu->id.INFOG(4));CHKERRQ(ierr);
1157         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(5) (estimated maximum front size in the complete tree): %d \n",lu->id.INFOG(5));CHKERRQ(ierr);
1158         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(6) (number of nodes in the complete tree): %d \n",lu->id.INFOG(6));CHKERRQ(ierr);
1159         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(7) (ordering option effectively use after analysis): %d \n",lu->id.INFOG(7));CHKERRQ(ierr);
1160         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(8) (structural symmetry in percent of the permuted matrix after analysis): %d \n",lu->id.INFOG(8));CHKERRQ(ierr);
1161         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(9) (total real/complex workspace to store the matrix factors after factorization): %d \n",lu->id.INFOG(9));CHKERRQ(ierr);
1162         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(10) (total integer space store the matrix factors after factorization): %d \n",lu->id.INFOG(10));CHKERRQ(ierr);
1163         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(11) (order of largest frontal matrix after factorization): %d \n",lu->id.INFOG(11));CHKERRQ(ierr);
1164         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(12) (number of off-diagonal pivots): %d \n",lu->id.INFOG(12));CHKERRQ(ierr);
1165         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(13) (number of delayed pivots after factorization): %d \n",lu->id.INFOG(13));CHKERRQ(ierr);
1166         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(14) (number of memory compress after factorization): %d \n",lu->id.INFOG(14));CHKERRQ(ierr);
1167         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(15) (number of steps of iterative refinement after solution): %d \n",lu->id.INFOG(15));CHKERRQ(ierr);
1168         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(16) (estimated size (in MB) of all MUMPS internal data for factorization after analysis: value on the most memory consuming processor): %d \n",lu->id.INFOG(16));CHKERRQ(ierr);
1169         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(17) (estimated size of all MUMPS internal data for factorization after analysis: sum over all processors): %d \n",lu->id.INFOG(17));CHKERRQ(ierr);
1170         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(18) (size of all MUMPS internal data allocated during factorization: value on the most memory consuming processor): %d \n",lu->id.INFOG(18));CHKERRQ(ierr);
1171         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(19) (size of all MUMPS internal data allocated during factorization: sum over all processors): %d \n",lu->id.INFOG(19));CHKERRQ(ierr);
1172         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(20) (estimated number of entries in the factors): %d \n",lu->id.INFOG(20));CHKERRQ(ierr);
1173         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(21) (size in MB of memory effectively used during factorization - value on the most memory consuming processor): %d \n",lu->id.INFOG(21));CHKERRQ(ierr);
1174         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(22) (size in MB of memory effectively used during factorization - sum over all processors): %d \n",lu->id.INFOG(22));CHKERRQ(ierr);
1175         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(23) (after analysis: value of ICNTL(6) effectively used): %d \n",lu->id.INFOG(23));CHKERRQ(ierr);
1176         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(24) (after analysis: value of ICNTL(12) effectively used): %d \n",lu->id.INFOG(24));CHKERRQ(ierr);
1177         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(25) (after factorization: number of pivots modified by static pivoting): %d \n",lu->id.INFOG(25));CHKERRQ(ierr);
1178       }
1179     }
1180   }
1181   PetscFunctionReturn(0);
1182 }
1183 
1184 #undef __FUNCT__
1185 #define __FUNCT__ "MatGetInfo_MUMPS"
1186 PetscErrorCode MatGetInfo_MUMPS(Mat A,MatInfoType flag,MatInfo *info)
1187 {
1188   Mat_MUMPS  *mumps =(Mat_MUMPS*)A->spptr;
1189 
1190   PetscFunctionBegin;
1191   info->block_size        = 1.0;
1192   info->nz_allocated      = mumps->id.INFOG(20);
1193   info->nz_used           = mumps->id.INFOG(20);
1194   info->nz_unneeded       = 0.0;
1195   info->assemblies        = 0.0;
1196   info->mallocs           = 0.0;
1197   info->memory            = 0.0;
1198   info->fill_ratio_given  = 0;
1199   info->fill_ratio_needed = 0;
1200   info->factor_mallocs    = 0;
1201   PetscFunctionReturn(0);
1202 }
1203 
1204 /* -------------------------------------------------------------------------------------------*/
1205 #undef __FUNCT__
1206 #define __FUNCT__ "MatMumpsSetIcntl_MUMPS"
1207 PetscErrorCode MatMumpsSetIcntl_MUMPS(Mat F,PetscInt icntl,PetscInt ival)
1208 {
1209   Mat_MUMPS *lu =(Mat_MUMPS*)F->spptr;
1210 
1211   PetscFunctionBegin;
1212   lu->id.ICNTL(icntl) = ival;
1213   PetscFunctionReturn(0);
1214 }
1215 
1216 #undef __FUNCT__
1217 #define __FUNCT__ "MatMumpsSetIcntl"
1218 /*@
1219   MatMumpsSetIcntl - Set MUMPS parameter ICNTL()
1220 
1221    Logically Collective on Mat
1222 
1223    Input Parameters:
1224 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
1225 .  icntl - index of MUMPS parameter array ICNTL()
1226 -  ival - value of MUMPS ICNTL(icntl)
1227 
1228   Options Database:
1229 .   -mat_mumps_icntl_<icntl> <ival>
1230 
1231    Level: beginner
1232 
1233    References: MUMPS Users' Guide
1234 
1235 .seealso: MatGetFactor()
1236 @*/
1237 PetscErrorCode MatMumpsSetIcntl(Mat F,PetscInt icntl,PetscInt ival)
1238 {
1239   PetscErrorCode ierr;
1240 
1241   PetscFunctionBegin;
1242   PetscValidLogicalCollectiveInt(F,icntl,2);
1243   PetscValidLogicalCollectiveInt(F,ival,3);
1244   ierr = PetscTryMethod(F,"MatMumpsSetIcntl_C",(Mat,PetscInt,PetscInt),(F,icntl,ival));CHKERRQ(ierr);
1245   PetscFunctionReturn(0);
1246 }
1247 
1248 /*MC
1249   MATSOLVERMUMPS -  A matrix type providing direct solvers (LU and Cholesky) for
1250   distributed and sequential matrices via the external package MUMPS.
1251 
1252   Works with MATAIJ and MATSBAIJ matrices
1253 
1254   Options Database Keys:
1255 + -mat_mumps_icntl_4 <0,...,4> - print level
1256 . -mat_mumps_icntl_6 <0,...,7> - matrix prescaling options (see MUMPS User's Guide)
1257 . -mat_mumps_icntl_7 <0,...,7> - matrix orderings (see MUMPS User's Guidec)
1258 . -mat_mumps_icntl_9 <1,2> - A or A^T x=b to be solved: 1 denotes A, 2 denotes A^T
1259 . -mat_mumps_icntl_10 <n> - maximum number of iterative refinements
1260 . -mat_mumps_icntl_11 <n> - error analysis, a positive value returns statistics during -ksp_view
1261 . -mat_mumps_icntl_12 <n> - efficiency control (see MUMPS User's Guide)
1262 . -mat_mumps_icntl_13 <n> - efficiency control (see MUMPS User's Guide)
1263 . -mat_mumps_icntl_14 <n> - efficiency control (see MUMPS User's Guide)
1264 . -mat_mumps_icntl_15 <n> - efficiency control (see MUMPS User's Guide)
1265 . -mat_mumps_cntl_1 <delta> - relative pivoting threshold
1266 . -mat_mumps_cntl_2 <tol> - stopping criterion for refinement
1267 - -mat_mumps_cntl_3 <adelta> - absolute pivoting threshold
1268 
1269   Level: beginner
1270 
1271 .seealso: PCFactorSetMatSolverPackage(), MatSolverPackage
1272 
1273 M*/
1274 
1275 EXTERN_C_BEGIN
1276 #undef __FUNCT__
1277 #define __FUNCT__ "MatFactorGetSolverPackage_mumps"
1278 PetscErrorCode MatFactorGetSolverPackage_mumps(Mat A,const MatSolverPackage *type)
1279 {
1280   PetscFunctionBegin;
1281   *type = MATSOLVERMUMPS;
1282   PetscFunctionReturn(0);
1283 }
1284 EXTERN_C_END
1285 
1286 EXTERN_C_BEGIN
1287 /* MatGetFactor for Seq and MPI AIJ matrices */
1288 #undef __FUNCT__
1289 #define __FUNCT__ "MatGetFactor_aij_mumps"
1290 PetscErrorCode MatGetFactor_aij_mumps(Mat A,MatFactorType ftype,Mat *F)
1291 {
1292   Mat            B;
1293   PetscErrorCode ierr;
1294   Mat_MUMPS      *mumps;
1295   PetscBool      isSeqAIJ;
1296 
1297   PetscFunctionBegin;
1298   /* Create the factorization matrix */
1299   ierr = PetscTypeCompare((PetscObject)A,MATSEQAIJ,&isSeqAIJ);CHKERRQ(ierr);
1300   ierr = MatCreate(((PetscObject)A)->comm,&B);CHKERRQ(ierr);
1301   ierr = MatSetSizes(B,A->rmap->n,A->cmap->n,A->rmap->N,A->cmap->N);CHKERRQ(ierr);
1302   ierr = MatSetType(B,((PetscObject)A)->type_name);CHKERRQ(ierr);
1303   if (isSeqAIJ) {
1304     ierr = MatSeqAIJSetPreallocation(B,0,PETSC_NULL);CHKERRQ(ierr);
1305   } else {
1306     ierr = MatMPIAIJSetPreallocation(B,0,PETSC_NULL,0,PETSC_NULL);CHKERRQ(ierr);
1307   }
1308 
1309   ierr = PetscNewLog(B,Mat_MUMPS,&mumps);CHKERRQ(ierr);
1310   B->ops->view             = MatView_MUMPS;
1311   B->ops->getinfo          = MatGetInfo_MUMPS;
1312   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatFactorGetSolverPackage_C","MatFactorGetSolverPackage_mumps",MatFactorGetSolverPackage_mumps);CHKERRQ(ierr);
1313   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatMumpsSetIcntl_C","MatMumpsSetIcntl_MUMPS",MatMumpsSetIcntl_MUMPS);CHKERRQ(ierr);
1314   if (ftype == MAT_FACTOR_LU) {
1315     B->ops->lufactorsymbolic = MatLUFactorSymbolic_AIJMUMPS;
1316     B->factortype = MAT_FACTOR_LU;
1317     if (isSeqAIJ) mumps->ConvertToTriples = MatConvertToTriples_seqaij_seqaij;
1318     else mumps->ConvertToTriples = MatConvertToTriples_mpiaij_mpiaij;
1319     mumps->sym = 0;
1320   } else {
1321     B->ops->choleskyfactorsymbolic = MatCholeskyFactorSymbolic_MUMPS;
1322     B->factortype = MAT_FACTOR_CHOLESKY;
1323     if (isSeqAIJ) mumps->ConvertToTriples = MatConvertToTriples_seqaij_seqsbaij;
1324     else mumps->ConvertToTriples = MatConvertToTriples_mpiaij_mpisbaij;
1325     if (A->spd_set && A->spd) mumps->sym = 1;
1326     else                      mumps->sym = 2;
1327   }
1328 
1329   mumps->isAIJ        = PETSC_TRUE;
1330   mumps->Destroy      = B->ops->destroy;
1331   B->ops->destroy     = MatDestroy_MUMPS;
1332   B->spptr            = (void*)mumps;
1333   ierr = PetscInitializeMUMPS(A,mumps);CHKERRQ(ierr);
1334 
1335   *F = B;
1336   PetscFunctionReturn(0);
1337 }
1338 EXTERN_C_END
1339 
1340 
1341 EXTERN_C_BEGIN
1342 /* MatGetFactor for Seq and MPI SBAIJ matrices */
1343 #undef __FUNCT__
1344 #define __FUNCT__ "MatGetFactor_sbaij_mumps"
1345 PetscErrorCode MatGetFactor_sbaij_mumps(Mat A,MatFactorType ftype,Mat *F)
1346 {
1347   Mat            B;
1348   PetscErrorCode ierr;
1349   Mat_MUMPS      *mumps;
1350   PetscBool      isSeqSBAIJ;
1351 
1352   PetscFunctionBegin;
1353   if (ftype != MAT_FACTOR_CHOLESKY) SETERRQ(((PetscObject)A)->comm,PETSC_ERR_SUP,"Cannot use PETSc SBAIJ matrices with MUMPS LU, use AIJ matrix");
1354   if(A->rmap->bs > 1) SETERRQ(((PetscObject)A)->comm,PETSC_ERR_SUP,"Cannot use PETSc SBAIJ matrices with block size > 1 with MUMPS Cholesky, use AIJ matrix instead");
1355   ierr = PetscTypeCompare((PetscObject)A,MATSEQSBAIJ,&isSeqSBAIJ);CHKERRQ(ierr);
1356   /* Create the factorization matrix */
1357   ierr = MatCreate(((PetscObject)A)->comm,&B);CHKERRQ(ierr);
1358   ierr = MatSetSizes(B,A->rmap->n,A->cmap->n,A->rmap->N,A->cmap->N);CHKERRQ(ierr);
1359   ierr = MatSetType(B,((PetscObject)A)->type_name);CHKERRQ(ierr);
1360   ierr = PetscNewLog(B,Mat_MUMPS,&mumps);CHKERRQ(ierr);
1361   if (isSeqSBAIJ) {
1362     ierr = MatSeqSBAIJSetPreallocation(B,1,0,PETSC_NULL);CHKERRQ(ierr);
1363     mumps->ConvertToTriples = MatConvertToTriples_seqsbaij_seqsbaij;
1364   } else {
1365     ierr = MatMPISBAIJSetPreallocation(B,1,0,PETSC_NULL,0,PETSC_NULL);CHKERRQ(ierr);
1366     mumps->ConvertToTriples = MatConvertToTriples_mpisbaij_mpisbaij;
1367   }
1368 
1369   B->ops->choleskyfactorsymbolic = MatCholeskyFactorSymbolic_MUMPS;
1370   B->ops->view                   = MatView_MUMPS;
1371   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatFactorGetSolverPackage_C","MatFactorGetSolverPackage_mumps",MatFactorGetSolverPackage_mumps);CHKERRQ(ierr);
1372   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatMumpsSetIcntl_C","MatMumpsSetIcntl",MatMumpsSetIcntl);CHKERRQ(ierr);
1373   B->factortype                  = MAT_FACTOR_CHOLESKY;
1374   if (A->spd_set && A->spd) mumps->sym = 1;
1375   else                      mumps->sym = 2;
1376 
1377   mumps->isAIJ        = PETSC_FALSE;
1378   mumps->Destroy      = B->ops->destroy;
1379   B->ops->destroy     = MatDestroy_MUMPS;
1380   B->spptr            = (void*)mumps;
1381   ierr = PetscInitializeMUMPS(A,mumps);CHKERRQ(ierr);
1382 
1383   *F = B;
1384   PetscFunctionReturn(0);
1385 }
1386 EXTERN_C_END
1387 
1388 EXTERN_C_BEGIN
1389 #undef __FUNCT__
1390 #define __FUNCT__ "MatGetFactor_baij_mumps"
1391 PetscErrorCode MatGetFactor_baij_mumps(Mat A,MatFactorType ftype,Mat *F)
1392 {
1393   Mat            B;
1394   PetscErrorCode ierr;
1395   Mat_MUMPS      *mumps;
1396   PetscBool      isSeqBAIJ;
1397 
1398   PetscFunctionBegin;
1399   /* Create the factorization matrix */
1400   ierr = PetscTypeCompare((PetscObject)A,MATSEQBAIJ,&isSeqBAIJ);CHKERRQ(ierr);
1401   ierr = MatCreate(((PetscObject)A)->comm,&B);CHKERRQ(ierr);
1402   ierr = MatSetSizes(B,A->rmap->n,A->cmap->n,A->rmap->N,A->cmap->N);CHKERRQ(ierr);
1403   ierr = MatSetType(B,((PetscObject)A)->type_name);CHKERRQ(ierr);
1404   if (isSeqBAIJ) {
1405     ierr = MatSeqBAIJSetPreallocation(B,A->rmap->bs,0,PETSC_NULL);CHKERRQ(ierr);
1406   } else {
1407     ierr = MatMPIBAIJSetPreallocation(B,A->rmap->bs,0,PETSC_NULL,0,PETSC_NULL);CHKERRQ(ierr);
1408   }
1409 
1410   ierr = PetscNewLog(B,Mat_MUMPS,&mumps);CHKERRQ(ierr);
1411   if (ftype == MAT_FACTOR_LU) {
1412     B->ops->lufactorsymbolic = MatLUFactorSymbolic_BAIJMUMPS;
1413     B->factortype = MAT_FACTOR_LU;
1414     if (isSeqBAIJ) mumps->ConvertToTriples = MatConvertToTriples_seqbaij_seqaij;
1415     else mumps->ConvertToTriples = MatConvertToTriples_mpibaij_mpiaij;
1416     mumps->sym = 0;
1417   } else {
1418     SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Cannot use PETSc BAIJ matrices with MUMPS Cholesky, use SBAIJ or AIJ matrix instead\n");
1419   }
1420 
1421   B->ops->view             = MatView_MUMPS;
1422   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatFactorGetSolverPackage_C","MatFactorGetSolverPackage_mumps",MatFactorGetSolverPackage_mumps);CHKERRQ(ierr);
1423   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatMumpsSetIcntl_C","MatMumpsSetIcntl_MUMPS",MatMumpsSetIcntl_MUMPS);CHKERRQ(ierr);
1424 
1425   mumps->isAIJ        = PETSC_TRUE;
1426   mumps->Destroy      = B->ops->destroy;
1427   B->ops->destroy     = MatDestroy_MUMPS;
1428   B->spptr            = (void*)mumps;
1429   ierr = PetscInitializeMUMPS(A,mumps);CHKERRQ(ierr);
1430 
1431   *F = B;
1432   PetscFunctionReturn(0);
1433 }
1434 EXTERN_C_END
1435 
1436