xref: /petsc/src/mat/impls/aij/mpi/mumps/mumps.c (revision e27a552be151e08936ff7d65f1f2e8dae4b63b83)
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 #endif
1058   PetscFunctionReturn(0);
1059 }
1060 
1061 #undef __FUNCT__
1062 #define __FUNCT__ "MatView_MUMPS"
1063 PetscErrorCode MatView_MUMPS(Mat A,PetscViewer viewer)
1064 {
1065   PetscErrorCode    ierr;
1066   PetscBool         iascii;
1067   PetscViewerFormat format;
1068   Mat_MUMPS         *lu=(Mat_MUMPS*)A->spptr;
1069 
1070   PetscFunctionBegin;
1071   /* check if matrix is mumps type */
1072   if (A->ops->solve != MatSolve_MUMPS) PetscFunctionReturn(0);
1073 
1074   ierr = PetscTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&iascii);CHKERRQ(ierr);
1075   if (iascii) {
1076     ierr = PetscViewerGetFormat(viewer,&format);CHKERRQ(ierr);
1077     if (format == PETSC_VIEWER_ASCII_INFO){
1078       ierr = PetscViewerASCIIPrintf(viewer,"MUMPS run parameters:\n");CHKERRQ(ierr);
1079       ierr = PetscViewerASCIIPrintf(viewer,"  SYM (matrix type):                   %d \n",lu->id.sym);CHKERRQ(ierr);
1080       ierr = PetscViewerASCIIPrintf(viewer,"  PAR (host participation):            %d \n",lu->id.par);CHKERRQ(ierr);
1081       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(1) (output for error):         %d \n",lu->id.ICNTL(1));CHKERRQ(ierr);
1082       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(2) (output of diagnostic msg): %d \n",lu->id.ICNTL(2));CHKERRQ(ierr);
1083       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(3) (output for global info):   %d \n",lu->id.ICNTL(3));CHKERRQ(ierr);
1084       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(4) (level of printing):        %d \n",lu->id.ICNTL(4));CHKERRQ(ierr);
1085       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(5) (input mat struct):         %d \n",lu->id.ICNTL(5));CHKERRQ(ierr);
1086       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(6) (matrix prescaling):        %d \n",lu->id.ICNTL(6));CHKERRQ(ierr);
1087       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(7) (sequentia matrix ordering):%d \n",lu->id.ICNTL(7));CHKERRQ(ierr);
1088       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(8) (scalling strategy):        %d \n",lu->id.ICNTL(8));CHKERRQ(ierr);
1089       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(10) (max num of refinements):  %d \n",lu->id.ICNTL(10));CHKERRQ(ierr);
1090       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(11) (error analysis):          %d \n",lu->id.ICNTL(11));CHKERRQ(ierr);
1091       if (lu->id.ICNTL(11)>0) {
1092         ierr = PetscViewerASCIIPrintf(viewer,"    RINFOG(4) (inf norm of input mat):        %g\n",lu->id.RINFOG(4));CHKERRQ(ierr);
1093         ierr = PetscViewerASCIIPrintf(viewer,"    RINFOG(5) (inf norm of solution):         %g\n",lu->id.RINFOG(5));CHKERRQ(ierr);
1094         ierr = PetscViewerASCIIPrintf(viewer,"    RINFOG(6) (inf norm of residual):         %g\n",lu->id.RINFOG(6));CHKERRQ(ierr);
1095         ierr = PetscViewerASCIIPrintf(viewer,"    RINFOG(7),RINFOG(8) (backward error est): %g, %g\n",lu->id.RINFOG(7),lu->id.RINFOG(8));CHKERRQ(ierr);
1096         ierr = PetscViewerASCIIPrintf(viewer,"    RINFOG(9) (error estimate):               %g \n",lu->id.RINFOG(9));CHKERRQ(ierr);
1097         ierr = PetscViewerASCIIPrintf(viewer,"    RINFOG(10),RINFOG(11)(condition numbers): %g, %g\n",lu->id.RINFOG(10),lu->id.RINFOG(11));CHKERRQ(ierr);
1098       }
1099       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(12) (efficiency control):                         %d \n",lu->id.ICNTL(12));CHKERRQ(ierr);
1100       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(13) (efficiency control):                         %d \n",lu->id.ICNTL(13));CHKERRQ(ierr);
1101       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(14) (percentage of estimated workspace increase): %d \n",lu->id.ICNTL(14));CHKERRQ(ierr);
1102       /* ICNTL(15-17) not used */
1103       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(18) (input mat struct):                           %d \n",lu->id.ICNTL(18));CHKERRQ(ierr);
1104       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(19) (Shur complement info):                       %d \n",lu->id.ICNTL(19));CHKERRQ(ierr);
1105       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(20) (rhs sparse pattern):                         %d \n",lu->id.ICNTL(20));CHKERRQ(ierr);
1106       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(21) (solution struct):                            %d \n",lu->id.ICNTL(21));CHKERRQ(ierr);
1107       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(22) (in-core/out-of-core facility):               %d \n",lu->id.ICNTL(22));CHKERRQ(ierr);
1108       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(23) (max size of memory can be allocated locally):%d \n",lu->id.ICNTL(23));CHKERRQ(ierr);
1109 
1110       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(24) (detection of null pivot rows):               %d \n",lu->id.ICNTL(24));CHKERRQ(ierr);
1111       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(25) (computation of a null space basis):          %d \n",lu->id.ICNTL(25));CHKERRQ(ierr);
1112       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(26) (Schur options for rhs or solution):          %d \n",lu->id.ICNTL(26));CHKERRQ(ierr);
1113       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(27) (experimental parameter):                     %d \n",lu->id.ICNTL(27));CHKERRQ(ierr);
1114       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(28) (Use parallel or sequential ordering):        %d \n",lu->id.ICNTL(28));CHKERRQ(ierr);
1115       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(29) (Parallel ordering):                          %d \n",lu->id.ICNTL(29));CHKERRQ(ierr);
1116 
1117       ierr = PetscViewerASCIIPrintf(viewer,"  CNTL(1) (relative pivoting threshold):      %g \n",lu->id.CNTL(1));CHKERRQ(ierr);
1118       ierr = PetscViewerASCIIPrintf(viewer,"  CNTL(2) (stopping criterion of refinement): %g \n",lu->id.CNTL(2));CHKERRQ(ierr);
1119       ierr = PetscViewerASCIIPrintf(viewer,"  CNTL(3) (absolute pivoting threshold):      %g \n",lu->id.CNTL(3));CHKERRQ(ierr);
1120       ierr = PetscViewerASCIIPrintf(viewer,"  CNTL(4) (value of static pivoting):         %g \n",lu->id.CNTL(4));CHKERRQ(ierr);
1121       ierr = PetscViewerASCIIPrintf(viewer,"  CNTL(5) (fixation for null pivots):         %g \n",lu->id.CNTL(5));CHKERRQ(ierr);
1122 
1123       /* infomation local to each processor */
1124       ierr = PetscViewerASCIIPrintf(viewer, "  RINFO(1) (local estimated flops for the elimination after analysis): \n");CHKERRQ(ierr);
1125       ierr = PetscViewerASCIISynchronizedAllow(viewer,PETSC_TRUE);CHKERRQ(ierr);
1126       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"    [%d] %g \n",lu->myid,lu->id.RINFO(1));CHKERRQ(ierr);
1127       ierr = PetscViewerFlush(viewer);
1128       ierr = PetscViewerASCIIPrintf(viewer, "  RINFO(2) (local estimated flops for the assembly after factorization): \n");CHKERRQ(ierr);
1129       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"    [%d]  %g \n",lu->myid,lu->id.RINFO(2));CHKERRQ(ierr);
1130       ierr = PetscViewerFlush(viewer);
1131       ierr = PetscViewerASCIIPrintf(viewer, "  RINFO(3) (local estimated flops for the elimination after factorization): \n");CHKERRQ(ierr);
1132       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"    [%d]  %g \n",lu->myid,lu->id.RINFO(3));CHKERRQ(ierr);
1133       ierr = PetscViewerFlush(viewer);
1134 
1135       ierr = PetscViewerASCIIPrintf(viewer, "  INFO(15) (estimated size of (in MB) MUMPS internal data for running numerical factorization): \n");CHKERRQ(ierr);
1136       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"  [%d] %d \n",lu->myid,lu->id.INFO(15));CHKERRQ(ierr);
1137       ierr = PetscViewerFlush(viewer);
1138 
1139       ierr = PetscViewerASCIIPrintf(viewer, "  INFO(16) (size of (in MB) MUMPS internal data used during numerical factorization): \n");CHKERRQ(ierr);
1140       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"    [%d] %d \n",lu->myid,lu->id.INFO(16));CHKERRQ(ierr);
1141       ierr = PetscViewerFlush(viewer);
1142 
1143       ierr = PetscViewerASCIIPrintf(viewer, "  INFO(23) (num of pivots eliminated on this processor after factorization): \n");CHKERRQ(ierr);
1144       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"    [%d] %d \n",lu->myid,lu->id.INFO(23));CHKERRQ(ierr);
1145       ierr = PetscViewerFlush(viewer);
1146       ierr = PetscViewerASCIISynchronizedAllow(viewer,PETSC_FALSE);CHKERRQ(ierr);
1147 
1148       if (!lu->myid){ /* information from the host */
1149         ierr = PetscViewerASCIIPrintf(viewer,"  RINFOG(1) (global estimated flops for the elimination after analysis): %g \n",lu->id.RINFOG(1));CHKERRQ(ierr);
1150         ierr = PetscViewerASCIIPrintf(viewer,"  RINFOG(2) (global estimated flops for the assembly after factorization): %g \n",lu->id.RINFOG(2));CHKERRQ(ierr);
1151         ierr = PetscViewerASCIIPrintf(viewer,"  RINFOG(3) (global estimated flops for the elimination after factorization): %g \n",lu->id.RINFOG(3));CHKERRQ(ierr);
1152 
1153         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(3) (estimated real workspace for factors on all processors after analysis): %d \n",lu->id.INFOG(3));CHKERRQ(ierr);
1154         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(4) (estimated integer workspace for factors on all processors after analysis): %d \n",lu->id.INFOG(4));CHKERRQ(ierr);
1155         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(5) (estimated maximum front size in the complete tree): %d \n",lu->id.INFOG(5));CHKERRQ(ierr);
1156         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(6) (number of nodes in the complete tree): %d \n",lu->id.INFOG(6));CHKERRQ(ierr);
1157         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(7) (ordering option effectively use after analysis): %d \n",lu->id.INFOG(7));CHKERRQ(ierr);
1158         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(8) (structural symmetry in percent of the permuted matrix after analysis): %d \n",lu->id.INFOG(8));CHKERRQ(ierr);
1159         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(9) (total real/complex workspace to store the matrix factors after factorization): %d \n",lu->id.INFOG(9));CHKERRQ(ierr);
1160         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(10) (total integer space store the matrix factors after factorization): %d \n",lu->id.INFOG(10));CHKERRQ(ierr);
1161         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(11) (order of largest frontal matrix after factorization): %d \n",lu->id.INFOG(11));CHKERRQ(ierr);
1162         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(12) (number of off-diagonal pivots): %d \n",lu->id.INFOG(12));CHKERRQ(ierr);
1163         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(13) (number of delayed pivots after factorization): %d \n",lu->id.INFOG(13));CHKERRQ(ierr);
1164         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(14) (number of memory compress after factorization): %d \n",lu->id.INFOG(14));CHKERRQ(ierr);
1165         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(15) (number of steps of iterative refinement after solution): %d \n",lu->id.INFOG(15));CHKERRQ(ierr);
1166         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);
1167         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);
1168         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);
1169         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);
1170         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(20) (estimated number of entries in the factors): %d \n",lu->id.INFOG(20));CHKERRQ(ierr);
1171         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);
1172         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);
1173         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(23) (after analysis: value of ICNTL(6) effectively used): %d \n",lu->id.INFOG(23));CHKERRQ(ierr);
1174         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(24) (after analysis: value of ICNTL(12) effectively used): %d \n",lu->id.INFOG(24));CHKERRQ(ierr);
1175         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(25) (after factorization: number of pivots modified by static pivoting): %d \n",lu->id.INFOG(25));CHKERRQ(ierr);
1176       }
1177     }
1178   }
1179   PetscFunctionReturn(0);
1180 }
1181 
1182 #undef __FUNCT__
1183 #define __FUNCT__ "MatGetInfo_MUMPS"
1184 PetscErrorCode MatGetInfo_MUMPS(Mat A,MatInfoType flag,MatInfo *info)
1185 {
1186   Mat_MUMPS  *mumps =(Mat_MUMPS*)A->spptr;
1187 
1188   PetscFunctionBegin;
1189   info->block_size        = 1.0;
1190   info->nz_allocated      = mumps->id.INFOG(20);
1191   info->nz_used           = mumps->id.INFOG(20);
1192   info->nz_unneeded       = 0.0;
1193   info->assemblies        = 0.0;
1194   info->mallocs           = 0.0;
1195   info->memory            = 0.0;
1196   info->fill_ratio_given  = 0;
1197   info->fill_ratio_needed = 0;
1198   info->factor_mallocs    = 0;
1199   PetscFunctionReturn(0);
1200 }
1201 
1202 /* -------------------------------------------------------------------------------------------*/
1203 #undef __FUNCT__
1204 #define __FUNCT__ "MatMumpsSetIcntl_MUMPS"
1205 PetscErrorCode MatMumpsSetIcntl_MUMPS(Mat F,PetscInt icntl,PetscInt ival)
1206 {
1207   Mat_MUMPS *lu =(Mat_MUMPS*)F->spptr;
1208 
1209   PetscFunctionBegin;
1210   lu->id.ICNTL(icntl) = ival;
1211   PetscFunctionReturn(0);
1212 }
1213 
1214 #undef __FUNCT__
1215 #define __FUNCT__ "MatMumpsSetIcntl"
1216 /*@
1217   MatMumpsSetIcntl - Set MUMPS parameter ICNTL()
1218 
1219    Logically Collective on Mat
1220 
1221    Input Parameters:
1222 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
1223 .  icntl - index of MUMPS parameter array ICNTL()
1224 -  ival - value of MUMPS ICNTL(icntl)
1225 
1226   Options Database:
1227 .   -mat_mumps_icntl_<icntl> <ival>
1228 
1229    Level: beginner
1230 
1231    References: MUMPS Users' Guide
1232 
1233 .seealso: MatGetFactor()
1234 @*/
1235 PetscErrorCode MatMumpsSetIcntl(Mat F,PetscInt icntl,PetscInt ival)
1236 {
1237   PetscErrorCode ierr;
1238 
1239   PetscFunctionBegin;
1240   PetscValidLogicalCollectiveInt(F,icntl,2);
1241   PetscValidLogicalCollectiveInt(F,ival,3);
1242   ierr = PetscTryMethod(F,"MatMumpsSetIcntl_C",(Mat,PetscInt,PetscInt),(F,icntl,ival));CHKERRQ(ierr);
1243   PetscFunctionReturn(0);
1244 }
1245 
1246 /*MC
1247   MATSOLVERMUMPS -  A matrix type providing direct solvers (LU and Cholesky) for
1248   distributed and sequential matrices via the external package MUMPS.
1249 
1250   Works with MATAIJ and MATSBAIJ matrices
1251 
1252   Options Database Keys:
1253 + -mat_mumps_icntl_4 <0,...,4> - print level
1254 . -mat_mumps_icntl_6 <0,...,7> - matrix prescaling options (see MUMPS User's Guide)
1255 . -mat_mumps_icntl_7 <0,...,7> - matrix orderings (see MUMPS User's Guidec)
1256 . -mat_mumps_icntl_9 <1,2> - A or A^T x=b to be solved: 1 denotes A, 2 denotes A^T
1257 . -mat_mumps_icntl_10 <n> - maximum number of iterative refinements
1258 . -mat_mumps_icntl_11 <n> - error analysis, a positive value returns statistics during -ksp_view
1259 . -mat_mumps_icntl_12 <n> - efficiency control (see MUMPS User's Guide)
1260 . -mat_mumps_icntl_13 <n> - efficiency control (see MUMPS User's Guide)
1261 . -mat_mumps_icntl_14 <n> - efficiency control (see MUMPS User's Guide)
1262 . -mat_mumps_icntl_15 <n> - efficiency control (see MUMPS User's Guide)
1263 . -mat_mumps_cntl_1 <delta> - relative pivoting threshold
1264 . -mat_mumps_cntl_2 <tol> - stopping criterion for refinement
1265 - -mat_mumps_cntl_3 <adelta> - absolute pivoting threshold
1266 
1267   Level: beginner
1268 
1269 .seealso: PCFactorSetMatSolverPackage(), MatSolverPackage
1270 
1271 M*/
1272 
1273 EXTERN_C_BEGIN
1274 #undef __FUNCT__
1275 #define __FUNCT__ "MatFactorGetSolverPackage_mumps"
1276 PetscErrorCode MatFactorGetSolverPackage_mumps(Mat A,const MatSolverPackage *type)
1277 {
1278   PetscFunctionBegin;
1279   *type = MATSOLVERMUMPS;
1280   PetscFunctionReturn(0);
1281 }
1282 EXTERN_C_END
1283 
1284 EXTERN_C_BEGIN
1285 /* MatGetFactor for Seq and MPI AIJ matrices */
1286 #undef __FUNCT__
1287 #define __FUNCT__ "MatGetFactor_aij_mumps"
1288 PetscErrorCode MatGetFactor_aij_mumps(Mat A,MatFactorType ftype,Mat *F)
1289 {
1290   Mat            B;
1291   PetscErrorCode ierr;
1292   Mat_MUMPS      *mumps;
1293   PetscBool      isSeqAIJ;
1294 
1295   PetscFunctionBegin;
1296   /* Create the factorization matrix */
1297   ierr = PetscTypeCompare((PetscObject)A,MATSEQAIJ,&isSeqAIJ);CHKERRQ(ierr);
1298   ierr = MatCreate(((PetscObject)A)->comm,&B);CHKERRQ(ierr);
1299   ierr = MatSetSizes(B,A->rmap->n,A->cmap->n,A->rmap->N,A->cmap->N);CHKERRQ(ierr);
1300   ierr = MatSetType(B,((PetscObject)A)->type_name);CHKERRQ(ierr);
1301   if (isSeqAIJ) {
1302     ierr = MatSeqAIJSetPreallocation(B,0,PETSC_NULL);CHKERRQ(ierr);
1303   } else {
1304     ierr = MatMPIAIJSetPreallocation(B,0,PETSC_NULL,0,PETSC_NULL);CHKERRQ(ierr);
1305   }
1306 
1307   ierr = PetscNewLog(B,Mat_MUMPS,&mumps);CHKERRQ(ierr);
1308   B->ops->view             = MatView_MUMPS;
1309   B->ops->getinfo          = MatGetInfo_MUMPS;
1310   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatFactorGetSolverPackage_C","MatFactorGetSolverPackage_mumps",MatFactorGetSolverPackage_mumps);CHKERRQ(ierr);
1311   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatMumpsSetIcntl_C","MatMumpsSetIcntl_MUMPS",MatMumpsSetIcntl_MUMPS);CHKERRQ(ierr);
1312   if (ftype == MAT_FACTOR_LU) {
1313     B->ops->lufactorsymbolic = MatLUFactorSymbolic_AIJMUMPS;
1314     B->factortype = MAT_FACTOR_LU;
1315     if (isSeqAIJ) mumps->ConvertToTriples = MatConvertToTriples_seqaij_seqaij;
1316     else mumps->ConvertToTriples = MatConvertToTriples_mpiaij_mpiaij;
1317     mumps->sym = 0;
1318   } else {
1319     B->ops->choleskyfactorsymbolic = MatCholeskyFactorSymbolic_MUMPS;
1320     B->factortype = MAT_FACTOR_CHOLESKY;
1321     if (isSeqAIJ) mumps->ConvertToTriples = MatConvertToTriples_seqaij_seqsbaij;
1322     else mumps->ConvertToTriples = MatConvertToTriples_mpiaij_mpisbaij;
1323     if (A->spd_set && A->spd) mumps->sym = 1;
1324     else                      mumps->sym = 2;
1325   }
1326 
1327   mumps->isAIJ        = PETSC_TRUE;
1328   mumps->Destroy      = B->ops->destroy;
1329   B->ops->destroy     = MatDestroy_MUMPS;
1330   B->spptr            = (void*)mumps;
1331   ierr = PetscInitializeMUMPS(A,mumps);CHKERRQ(ierr);
1332 
1333   *F = B;
1334   PetscFunctionReturn(0);
1335 }
1336 EXTERN_C_END
1337 
1338 
1339 EXTERN_C_BEGIN
1340 /* MatGetFactor for Seq and MPI SBAIJ matrices */
1341 #undef __FUNCT__
1342 #define __FUNCT__ "MatGetFactor_sbaij_mumps"
1343 PetscErrorCode MatGetFactor_sbaij_mumps(Mat A,MatFactorType ftype,Mat *F)
1344 {
1345   Mat            B;
1346   PetscErrorCode ierr;
1347   Mat_MUMPS      *mumps;
1348   PetscBool      isSeqSBAIJ;
1349 
1350   PetscFunctionBegin;
1351   if (ftype != MAT_FACTOR_CHOLESKY) SETERRQ(((PetscObject)A)->comm,PETSC_ERR_SUP,"Cannot use PETSc SBAIJ matrices with MUMPS LU, use AIJ matrix");
1352   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");
1353   ierr = PetscTypeCompare((PetscObject)A,MATSEQSBAIJ,&isSeqSBAIJ);CHKERRQ(ierr);
1354   /* Create the factorization matrix */
1355   ierr = MatCreate(((PetscObject)A)->comm,&B);CHKERRQ(ierr);
1356   ierr = MatSetSizes(B,A->rmap->n,A->cmap->n,A->rmap->N,A->cmap->N);CHKERRQ(ierr);
1357   ierr = MatSetType(B,((PetscObject)A)->type_name);CHKERRQ(ierr);
1358   ierr = PetscNewLog(B,Mat_MUMPS,&mumps);CHKERRQ(ierr);
1359   if (isSeqSBAIJ) {
1360     ierr = MatSeqSBAIJSetPreallocation(B,1,0,PETSC_NULL);CHKERRQ(ierr);
1361     mumps->ConvertToTriples = MatConvertToTriples_seqsbaij_seqsbaij;
1362   } else {
1363     ierr = MatMPISBAIJSetPreallocation(B,1,0,PETSC_NULL,0,PETSC_NULL);CHKERRQ(ierr);
1364     mumps->ConvertToTriples = MatConvertToTriples_mpisbaij_mpisbaij;
1365   }
1366 
1367   B->ops->choleskyfactorsymbolic = MatCholeskyFactorSymbolic_MUMPS;
1368   B->ops->view                   = MatView_MUMPS;
1369   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatFactorGetSolverPackage_C","MatFactorGetSolverPackage_mumps",MatFactorGetSolverPackage_mumps);CHKERRQ(ierr);
1370   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatMumpsSetIcntl_C","MatMumpsSetIcntl",MatMumpsSetIcntl);CHKERRQ(ierr);
1371   B->factortype                  = MAT_FACTOR_CHOLESKY;
1372   if (A->spd_set && A->spd) mumps->sym = 1;
1373   else                      mumps->sym = 2;
1374 
1375   mumps->isAIJ        = PETSC_FALSE;
1376   mumps->Destroy      = B->ops->destroy;
1377   B->ops->destroy     = MatDestroy_MUMPS;
1378   B->spptr            = (void*)mumps;
1379   ierr = PetscInitializeMUMPS(A,mumps);CHKERRQ(ierr);
1380 
1381   *F = B;
1382   PetscFunctionReturn(0);
1383 }
1384 EXTERN_C_END
1385 
1386 EXTERN_C_BEGIN
1387 #undef __FUNCT__
1388 #define __FUNCT__ "MatGetFactor_baij_mumps"
1389 PetscErrorCode MatGetFactor_baij_mumps(Mat A,MatFactorType ftype,Mat *F)
1390 {
1391   Mat            B;
1392   PetscErrorCode ierr;
1393   Mat_MUMPS      *mumps;
1394   PetscBool      isSeqBAIJ;
1395 
1396   PetscFunctionBegin;
1397   /* Create the factorization matrix */
1398   ierr = PetscTypeCompare((PetscObject)A,MATSEQBAIJ,&isSeqBAIJ);CHKERRQ(ierr);
1399   ierr = MatCreate(((PetscObject)A)->comm,&B);CHKERRQ(ierr);
1400   ierr = MatSetSizes(B,A->rmap->n,A->cmap->n,A->rmap->N,A->cmap->N);CHKERRQ(ierr);
1401   ierr = MatSetType(B,((PetscObject)A)->type_name);CHKERRQ(ierr);
1402   if (isSeqBAIJ) {
1403     ierr = MatSeqBAIJSetPreallocation(B,A->rmap->bs,0,PETSC_NULL);CHKERRQ(ierr);
1404   } else {
1405     ierr = MatMPIBAIJSetPreallocation(B,A->rmap->bs,0,PETSC_NULL,0,PETSC_NULL);CHKERRQ(ierr);
1406   }
1407 
1408   ierr = PetscNewLog(B,Mat_MUMPS,&mumps);CHKERRQ(ierr);
1409   if (ftype == MAT_FACTOR_LU) {
1410     B->ops->lufactorsymbolic = MatLUFactorSymbolic_BAIJMUMPS;
1411     B->factortype = MAT_FACTOR_LU;
1412     if (isSeqBAIJ) mumps->ConvertToTriples = MatConvertToTriples_seqbaij_seqaij;
1413     else mumps->ConvertToTriples = MatConvertToTriples_mpibaij_mpiaij;
1414     mumps->sym = 0;
1415   } else {
1416     SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Cannot use PETSc BAIJ matrices with MUMPS Cholesky, use SBAIJ or AIJ matrix instead\n");
1417   }
1418 
1419   B->ops->view             = MatView_MUMPS;
1420   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatFactorGetSolverPackage_C","MatFactorGetSolverPackage_mumps",MatFactorGetSolverPackage_mumps);CHKERRQ(ierr);
1421   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatMumpsSetIcntl_C","MatMumpsSetIcntl_MUMPS",MatMumpsSetIcntl_MUMPS);CHKERRQ(ierr);
1422 
1423   mumps->isAIJ        = PETSC_TRUE;
1424   mumps->Destroy      = B->ops->destroy;
1425   B->ops->destroy     = MatDestroy_MUMPS;
1426   B->spptr            = (void*)mumps;
1427   ierr = PetscInitializeMUMPS(A,mumps);CHKERRQ(ierr);
1428 
1429   *F = B;
1430   PetscFunctionReturn(0);
1431 }
1432 EXTERN_C_END
1433 
1434