xref: /petsc/src/mat/impls/aij/mpi/mumps/mumps.c (revision bb42e86ab3e4720245217a7cdcd02146569f06da)
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 #if defined(PETSC_USE_REAL_SINGLE)
12 #include <cmumps_c.h>
13 #else
14 #include <zmumps_c.h>
15 #endif
16 #else
17 #if defined(PETSC_USE_REAL_SINGLE)
18 #include <smumps_c.h>
19 #else
20 #include <dmumps_c.h>
21 #endif
22 #endif
23 EXTERN_C_END
24 #define JOB_INIT -1
25 #define JOB_FACTSYMBOLIC 1
26 #define JOB_FACTNUMERIC 2
27 #define JOB_SOLVE 3
28 #define JOB_END -2
29 
30 /* calls to MUMPS */
31 #if defined(PETSC_USE_COMPLEX)
32 #if defined(PETSC_USE_REAL_SINGLE)
33 #define PetscMUMPS_c cmumps_c
34 #else
35 #define PetscMUMPS_c zmumps_c
36 #endif
37 #else
38 #if defined(PETSC_USE_REAL_SINGLE)
39 #define PetscMUMPS_c smumps_c
40 #else
41 #define PetscMUMPS_c dmumps_c
42 #endif
43 #endif
44 
45 /* declare MumpsScalar */
46 #if defined(PETSC_USE_COMPLEX)
47 #if defined(PETSC_USE_REAL_SINGLE)
48 #define MumpsScalar mumps_complex
49 #else
50 #define MumpsScalar mumps_double_complex
51 #endif
52 #else
53 #define MumpsScalar PetscScalar
54 #endif
55 
56 /* macros s.t. indices match MUMPS documentation */
57 #define ICNTL(I) icntl[(I)-1]
58 #define CNTL(I) cntl[(I)-1]
59 #define INFOG(I) infog[(I)-1]
60 #define INFO(I) info[(I)-1]
61 #define RINFOG(I) rinfog[(I)-1]
62 #define RINFO(I) rinfo[(I)-1]
63 
64 typedef struct {
65 #if defined(PETSC_USE_COMPLEX)
66 #if defined(PETSC_USE_REAL_SINGLE)
67   CMUMPS_STRUC_C id;
68 #else
69   ZMUMPS_STRUC_C id;
70 #endif
71 #else
72 #if defined(PETSC_USE_REAL_SINGLE)
73   SMUMPS_STRUC_C id;
74 #else
75   DMUMPS_STRUC_C id;
76 #endif
77 #endif
78 
79   MatStructure matstruc;
80   PetscMPIInt  myid,size;
81   PetscInt     *irn,*jcn,nz,sym;
82   PetscScalar  *val;
83   MPI_Comm     comm_mumps;
84   PetscBool    isAIJ;
85   PetscInt     ICNTL9_pre;           /* check if ICNTL(9) is changed from previous MatSolve */
86   VecScatter   scat_rhs, scat_sol;   /* used by MatSolve() */
87   Vec          b_seq,x_seq;
88   PetscInt     ninfo,*info;          /* display INFO */
89   PetscInt     sizeredrhs;
90   PetscScalar  *schur_sol;
91   PetscInt     schur_sizesol;
92 
93   PetscErrorCode (*ConvertToTriples)(Mat, int, MatReuse, int*, int**, int**, PetscScalar**);
94 } Mat_MUMPS;
95 
96 extern PetscErrorCode MatDuplicate_MUMPS(Mat,MatDuplicateOption,Mat*);
97 
98 static PetscErrorCode MatMumpsResetSchur_Private(Mat_MUMPS* mumps)
99 {
100   PetscErrorCode ierr;
101 
102   PetscFunctionBegin;
103   ierr = PetscFree2(mumps->id.listvar_schur,mumps->id.schur);CHKERRQ(ierr);
104   ierr = PetscFree(mumps->id.redrhs);CHKERRQ(ierr);
105   ierr = PetscFree(mumps->schur_sol);CHKERRQ(ierr);
106   mumps->id.size_schur = 0;
107   mumps->id.schur_lld  = 0;
108   mumps->id.ICNTL(19)  = 0;
109   PetscFunctionReturn(0);
110 }
111 
112 /* solve with rhs in mumps->id.redrhs and return in the same location */
113 static PetscErrorCode MatMumpsSolveSchur_Private(Mat F)
114 {
115   Mat_MUMPS            *mumps=(Mat_MUMPS*)F->data;
116   Mat                  S,B,X;
117   MatFactorSchurStatus schurstatus;
118   PetscInt             sizesol;
119   PetscErrorCode       ierr;
120 
121   PetscFunctionBegin;
122   ierr = MatFactorFactorizeSchurComplement(F);CHKERRQ(ierr);
123   ierr = MatFactorGetSchurComplement(F,&S,&schurstatus);CHKERRQ(ierr);
124   ierr = MatCreateSeqDense(PETSC_COMM_SELF,mumps->id.size_schur,mumps->id.nrhs,(PetscScalar*)mumps->id.redrhs,&B);CHKERRQ(ierr);
125   switch (schurstatus) {
126   case MAT_FACTOR_SCHUR_FACTORED:
127     ierr = MatCreateSeqDense(PETSC_COMM_SELF,mumps->id.size_schur,mumps->id.nrhs,(PetscScalar*)mumps->id.redrhs,&X);CHKERRQ(ierr);
128     if (!mumps->id.ICNTL(9)) { /* transpose solve */
129       ierr = MatMatSolveTranspose(S,B,X);CHKERRQ(ierr);
130     } else {
131       ierr = MatMatSolve(S,B,X);CHKERRQ(ierr);
132     }
133     break;
134   case MAT_FACTOR_SCHUR_INVERTED:
135     sizesol = mumps->id.nrhs*mumps->id.size_schur;
136     if (!mumps->schur_sol || sizesol > mumps->schur_sizesol) {
137       ierr = PetscFree(mumps->schur_sol);CHKERRQ(ierr);
138       ierr = PetscMalloc1(sizesol,&mumps->schur_sol);CHKERRQ(ierr);
139       mumps->schur_sizesol = sizesol;
140     }
141     ierr = MatCreateSeqDense(PETSC_COMM_SELF,mumps->id.size_schur,mumps->id.nrhs,mumps->schur_sol,&X);CHKERRQ(ierr);
142     if (!mumps->id.ICNTL(9)) { /* transpose solve */
143       ierr = MatTransposeMatMult(S,B,MAT_REUSE_MATRIX,PETSC_DEFAULT,&X);CHKERRQ(ierr);
144     } else {
145       ierr = MatMatMult(S,B,MAT_REUSE_MATRIX,PETSC_DEFAULT,&X);CHKERRQ(ierr);
146     }
147     ierr = MatCopy(X,B,SAME_NONZERO_PATTERN);CHKERRQ(ierr);
148     break;
149   default:
150     SETERRQ1(PetscObjectComm((PetscObject)F),PETSC_ERR_SUP,"Unhandled MatFactorSchurStatus %D",F->schur_status);
151     break;
152   }
153   ierr = MatFactorRestoreSchurComplement(F,&S,schurstatus);CHKERRQ(ierr);
154   ierr = MatDestroy(&B);CHKERRQ(ierr);
155   ierr = MatDestroy(&X);CHKERRQ(ierr);
156   PetscFunctionReturn(0);
157 }
158 
159 static PetscErrorCode MatMumpsHandleSchur_Private(Mat F, PetscBool expansion)
160 {
161   Mat_MUMPS     *mumps=(Mat_MUMPS*)F->data;
162   PetscErrorCode ierr;
163 
164   PetscFunctionBegin;
165   if (!mumps->id.ICNTL(19)) { /* do nothing when Schur complement has not been computed */
166     PetscFunctionReturn(0);
167   }
168   if (!expansion) { /* prepare for the condensation step */
169     PetscInt sizeredrhs = mumps->id.nrhs*mumps->id.size_schur;
170     /* allocate MUMPS internal array to store reduced right-hand sides */
171     if (!mumps->id.redrhs || sizeredrhs > mumps->sizeredrhs) {
172       ierr = PetscFree(mumps->id.redrhs);CHKERRQ(ierr);
173       mumps->id.lredrhs = mumps->id.size_schur;
174       ierr = PetscMalloc1(mumps->id.nrhs*mumps->id.lredrhs,&mumps->id.redrhs);CHKERRQ(ierr);
175       mumps->sizeredrhs = mumps->id.nrhs*mumps->id.lredrhs;
176     }
177     mumps->id.ICNTL(26) = 1; /* condensation phase */
178   } else { /* prepare for the expansion step */
179     /* solve Schur complement (this has to be done by the MUMPS user, so basically us) */
180     ierr = MatMumpsSolveSchur_Private(F);CHKERRQ(ierr);
181     mumps->id.ICNTL(26) = 2; /* expansion phase */
182     PetscMUMPS_c(&mumps->id);
183     if (mumps->id.INFOG(1) < 0) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error reported by MUMPS in solve phase: INFOG(1)=%d\n",mumps->id.INFOG(1));
184     /* restore defaults */
185     mumps->id.ICNTL(26) = -1;
186     /* free MUMPS internal array for redrhs if we have solved for multiple rhs in order to save memory space */
187     if (mumps->id.nrhs > 1) {
188       ierr = PetscFree(mumps->id.redrhs);CHKERRQ(ierr);
189       mumps->id.lredrhs = 0;
190       mumps->sizeredrhs = 0;
191     }
192   }
193   PetscFunctionReturn(0);
194 }
195 
196 /*
197   MatConvertToTriples_A_B - convert Petsc matrix to triples: row[nz], col[nz], val[nz]
198 
199   input:
200     A       - matrix in aij,baij or sbaij (bs=1) format
201     shift   - 0: C style output triple; 1: Fortran style output triple.
202     reuse   - MAT_INITIAL_MATRIX: spaces are allocated and values are set for the triple
203               MAT_REUSE_MATRIX:   only the values in v array are updated
204   output:
205     nnz     - dim of r, c, and v (number of local nonzero entries of A)
206     r, c, v - row and col index, matrix values (matrix triples)
207 
208   The returned values r, c, and sometimes v are obtained in a single PetscMalloc(). Then in MatDestroy_MUMPS() it is
209   freed with PetscFree((mumps->irn);  This is not ideal code, the fact that v is ONLY sometimes part of mumps->irn means
210   that the PetscMalloc() cannot easily be replaced with a PetscMalloc3().
211 
212  */
213 
214 PetscErrorCode MatConvertToTriples_seqaij_seqaij(Mat A,int shift,MatReuse reuse,int *nnz,int **r, int **c, PetscScalar **v)
215 {
216   const PetscInt *ai,*aj,*ajj,M=A->rmap->n;
217   PetscInt       nz,rnz,i,j;
218   PetscErrorCode ierr;
219   PetscInt       *row,*col;
220   Mat_SeqAIJ     *aa=(Mat_SeqAIJ*)A->data;
221 
222   PetscFunctionBegin;
223   *v=aa->a;
224   if (reuse == MAT_INITIAL_MATRIX) {
225     nz   = aa->nz;
226     ai   = aa->i;
227     aj   = aa->j;
228     *nnz = nz;
229     ierr = PetscMalloc1(2*nz, &row);CHKERRQ(ierr);
230     col  = row + nz;
231 
232     nz = 0;
233     for (i=0; i<M; i++) {
234       rnz = ai[i+1] - ai[i];
235       ajj = aj + ai[i];
236       for (j=0; j<rnz; j++) {
237         row[nz] = i+shift; col[nz++] = ajj[j] + shift;
238       }
239     }
240     *r = row; *c = col;
241   }
242   PetscFunctionReturn(0);
243 }
244 
245 PetscErrorCode MatConvertToTriples_seqbaij_seqaij(Mat A,int shift,MatReuse reuse,int *nnz,int **r, int **c, PetscScalar **v)
246 {
247   Mat_SeqBAIJ    *aa=(Mat_SeqBAIJ*)A->data;
248   const PetscInt *ai,*aj,*ajj,bs2 = aa->bs2;
249   PetscInt       bs,M,nz,idx=0,rnz,i,j,k,m;
250   PetscErrorCode ierr;
251   PetscInt       *row,*col;
252 
253   PetscFunctionBegin;
254   ierr = MatGetBlockSize(A,&bs);CHKERRQ(ierr);
255   M = A->rmap->N/bs;
256   *v = aa->a;
257   if (reuse == MAT_INITIAL_MATRIX) {
258     ai   = aa->i; aj = aa->j;
259     nz   = bs2*aa->nz;
260     *nnz = nz;
261     ierr = PetscMalloc1(2*nz, &row);CHKERRQ(ierr);
262     col  = row + nz;
263 
264     for (i=0; i<M; i++) {
265       ajj = aj + ai[i];
266       rnz = ai[i+1] - ai[i];
267       for (k=0; k<rnz; k++) {
268         for (j=0; j<bs; j++) {
269           for (m=0; m<bs; m++) {
270             row[idx]   = i*bs + m + shift;
271             col[idx++] = bs*(ajj[k]) + j + shift;
272           }
273         }
274       }
275     }
276     *r = row; *c = col;
277   }
278   PetscFunctionReturn(0);
279 }
280 
281 PetscErrorCode MatConvertToTriples_seqsbaij_seqsbaij(Mat A,int shift,MatReuse reuse,int *nnz,int **r, int **c, PetscScalar **v)
282 {
283   const PetscInt *ai, *aj,*ajj,M=A->rmap->n;
284   PetscInt       nz,rnz,i,j;
285   PetscErrorCode ierr;
286   PetscInt       *row,*col;
287   Mat_SeqSBAIJ   *aa=(Mat_SeqSBAIJ*)A->data;
288 
289   PetscFunctionBegin;
290   *v = aa->a;
291   if (reuse == MAT_INITIAL_MATRIX) {
292     nz   = aa->nz;
293     ai   = aa->i;
294     aj   = aa->j;
295     *v   = aa->a;
296     *nnz = nz;
297     ierr = PetscMalloc1(2*nz, &row);CHKERRQ(ierr);
298     col  = row + nz;
299 
300     nz = 0;
301     for (i=0; i<M; i++) {
302       rnz = ai[i+1] - ai[i];
303       ajj = aj + ai[i];
304       for (j=0; j<rnz; j++) {
305         row[nz] = i+shift; col[nz++] = ajj[j] + shift;
306       }
307     }
308     *r = row; *c = col;
309   }
310   PetscFunctionReturn(0);
311 }
312 
313 PetscErrorCode MatConvertToTriples_seqaij_seqsbaij(Mat A,int shift,MatReuse reuse,int *nnz,int **r, int **c, PetscScalar **v)
314 {
315   const PetscInt    *ai,*aj,*ajj,*adiag,M=A->rmap->n;
316   PetscInt          nz,rnz,i,j;
317   const PetscScalar *av,*v1;
318   PetscScalar       *val;
319   PetscErrorCode    ierr;
320   PetscInt          *row,*col;
321   Mat_SeqAIJ        *aa=(Mat_SeqAIJ*)A->data;
322   PetscBool         missing;
323 
324   PetscFunctionBegin;
325   ai   =aa->i; aj=aa->j;av=aa->a;
326   adiag=aa->diag;
327   ierr  = MatMissingDiagonal_SeqAIJ(A,&missing,&i);CHKERRQ(ierr);
328   if (reuse == MAT_INITIAL_MATRIX) {
329     /* count nz in the uppper triangular part of A */
330     nz = 0;
331     if (missing) {
332       for (i=0; i<M; i++) {
333         if (PetscUnlikely(adiag[i] >= ai[i+1])) {
334           for (j=ai[i];j<ai[i+1];j++) {
335             if (aj[j] < i) continue;
336             nz++;
337           }
338         } else {
339           nz += ai[i+1] - adiag[i];
340         }
341       }
342     } else {
343       for (i=0; i<M; i++) nz += ai[i+1] - adiag[i];
344     }
345     *nnz = nz;
346 
347     ierr = PetscMalloc((2*nz*sizeof(PetscInt)+nz*sizeof(PetscScalar)), &row);CHKERRQ(ierr);
348     col  = row + nz;
349     val  = (PetscScalar*)(col + nz);
350 
351     nz = 0;
352     if (missing) {
353       for (i=0; i<M; i++) {
354         if (PetscUnlikely(adiag[i] >= ai[i+1])) {
355           for (j=ai[i];j<ai[i+1];j++) {
356             if (aj[j] < i) continue;
357             row[nz] = i+shift;
358             col[nz] = aj[j]+shift;
359             val[nz] = av[j];
360             nz++;
361           }
362         } else {
363           rnz = ai[i+1] - adiag[i];
364           ajj = aj + adiag[i];
365           v1  = av + adiag[i];
366           for (j=0; j<rnz; j++) {
367             row[nz] = i+shift; col[nz] = ajj[j] + shift; val[nz++] = v1[j];
368           }
369         }
370       }
371     } else {
372       for (i=0; i<M; i++) {
373         rnz = ai[i+1] - adiag[i];
374         ajj = aj + adiag[i];
375         v1  = av + adiag[i];
376         for (j=0; j<rnz; j++) {
377           row[nz] = i+shift; col[nz] = ajj[j] + shift; val[nz++] = v1[j];
378         }
379       }
380     }
381     *r = row; *c = col; *v = val;
382   } else {
383     nz = 0; val = *v;
384     if (missing) {
385       for (i=0; i <M; i++) {
386         if (PetscUnlikely(adiag[i] >= ai[i+1])) {
387           for (j=ai[i];j<ai[i+1];j++) {
388             if (aj[j] < i) continue;
389             val[nz++] = av[j];
390           }
391         } else {
392           rnz = ai[i+1] - adiag[i];
393           v1  = av + adiag[i];
394           for (j=0; j<rnz; j++) {
395             val[nz++] = v1[j];
396           }
397         }
398       }
399     } else {
400       for (i=0; i <M; i++) {
401         rnz = ai[i+1] - adiag[i];
402         v1  = av + adiag[i];
403         for (j=0; j<rnz; j++) {
404           val[nz++] = v1[j];
405         }
406       }
407     }
408   }
409   PetscFunctionReturn(0);
410 }
411 
412 PetscErrorCode MatConvertToTriples_mpisbaij_mpisbaij(Mat A,int shift,MatReuse reuse,int *nnz,int **r, int **c, PetscScalar **v)
413 {
414   const PetscInt    *ai, *aj, *bi, *bj,*garray,m=A->rmap->n,*ajj,*bjj;
415   PetscErrorCode    ierr;
416   PetscInt          rstart,nz,i,j,jj,irow,countA,countB;
417   PetscInt          *row,*col;
418   const PetscScalar *av, *bv,*v1,*v2;
419   PetscScalar       *val;
420   Mat_MPISBAIJ      *mat = (Mat_MPISBAIJ*)A->data;
421   Mat_SeqSBAIJ      *aa  = (Mat_SeqSBAIJ*)(mat->A)->data;
422   Mat_SeqBAIJ       *bb  = (Mat_SeqBAIJ*)(mat->B)->data;
423 
424   PetscFunctionBegin;
425   ai=aa->i; aj=aa->j; bi=bb->i; bj=bb->j; rstart= A->rmap->rstart;
426   av=aa->a; bv=bb->a;
427 
428   garray = mat->garray;
429 
430   if (reuse == MAT_INITIAL_MATRIX) {
431     nz   = aa->nz + bb->nz;
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 + ai[i];                 /* ptr to the beginning of this row */
445     countA = ai[i+1] - ai[i];
446     countB = bi[i+1] - bi[i];
447     bjj    = bj + bi[i];
448     v1     = av + ai[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 (reuse == MAT_INITIAL_MATRIX) {
462         row[jj] = irow + shift; col[jj] = garray[bjj[j]] + shift;
463       }
464       val[jj++] = v2[j];
465     }
466     irow++;
467   }
468   PetscFunctionReturn(0);
469 }
470 
471 PetscErrorCode MatConvertToTriples_mpiaij_mpiaij(Mat A,int shift,MatReuse reuse,int *nnz,int **r, int **c, PetscScalar **v)
472 {
473   const PetscInt    *ai, *aj, *bi, *bj,*garray,m=A->rmap->n,*ajj,*bjj;
474   PetscErrorCode    ierr;
475   PetscInt          rstart,nz,i,j,jj,irow,countA,countB;
476   PetscInt          *row,*col;
477   const PetscScalar *av, *bv,*v1,*v2;
478   PetscScalar       *val;
479   Mat_MPIAIJ        *mat = (Mat_MPIAIJ*)A->data;
480   Mat_SeqAIJ        *aa  = (Mat_SeqAIJ*)(mat->A)->data;
481   Mat_SeqAIJ        *bb  = (Mat_SeqAIJ*)(mat->B)->data;
482 
483   PetscFunctionBegin;
484   ai=aa->i; aj=aa->j; bi=bb->i; bj=bb->j; rstart= A->rmap->rstart;
485   av=aa->a; bv=bb->a;
486 
487   garray = mat->garray;
488 
489   if (reuse == MAT_INITIAL_MATRIX) {
490     nz   = aa->nz + bb->nz;
491     *nnz = nz;
492     ierr = PetscMalloc((2*nz*sizeof(PetscInt)+nz*sizeof(PetscScalar)), &row);CHKERRQ(ierr);
493     col  = row + nz;
494     val  = (PetscScalar*)(col + nz);
495 
496     *r = row; *c = col; *v = val;
497   } else {
498     row = *r; col = *c; val = *v;
499   }
500 
501   jj = 0; irow = rstart;
502   for (i=0; i<m; i++) {
503     ajj    = aj + ai[i];                 /* ptr to the beginning of this row */
504     countA = ai[i+1] - ai[i];
505     countB = bi[i+1] - bi[i];
506     bjj    = bj + bi[i];
507     v1     = av + ai[i];
508     v2     = bv + bi[i];
509 
510     /* A-part */
511     for (j=0; j<countA; j++) {
512       if (reuse == MAT_INITIAL_MATRIX) {
513         row[jj] = irow + shift; col[jj] = rstart + ajj[j] + shift;
514       }
515       val[jj++] = v1[j];
516     }
517 
518     /* B-part */
519     for (j=0; j < countB; j++) {
520       if (reuse == MAT_INITIAL_MATRIX) {
521         row[jj] = irow + shift; col[jj] = garray[bjj[j]] + shift;
522       }
523       val[jj++] = v2[j];
524     }
525     irow++;
526   }
527   PetscFunctionReturn(0);
528 }
529 
530 PetscErrorCode MatConvertToTriples_mpibaij_mpiaij(Mat A,int shift,MatReuse reuse,int *nnz,int **r, int **c, PetscScalar **v)
531 {
532   Mat_MPIBAIJ       *mat    = (Mat_MPIBAIJ*)A->data;
533   Mat_SeqBAIJ       *aa     = (Mat_SeqBAIJ*)(mat->A)->data;
534   Mat_SeqBAIJ       *bb     = (Mat_SeqBAIJ*)(mat->B)->data;
535   const PetscInt    *ai     = aa->i, *bi = bb->i, *aj = aa->j, *bj = bb->j,*ajj, *bjj;
536   const PetscInt    *garray = mat->garray,mbs=mat->mbs,rstart=A->rmap->rstart;
537   const PetscInt    bs2=mat->bs2;
538   PetscErrorCode    ierr;
539   PetscInt          bs,nz,i,j,k,n,jj,irow,countA,countB,idx;
540   PetscInt          *row,*col;
541   const PetscScalar *av=aa->a, *bv=bb->a,*v1,*v2;
542   PetscScalar       *val;
543 
544   PetscFunctionBegin;
545   ierr = MatGetBlockSize(A,&bs);CHKERRQ(ierr);
546   if (reuse == MAT_INITIAL_MATRIX) {
547     nz   = bs2*(aa->nz + bb->nz);
548     *nnz = nz;
549     ierr = PetscMalloc((2*nz*sizeof(PetscInt)+nz*sizeof(PetscScalar)), &row);CHKERRQ(ierr);
550     col  = row + nz;
551     val  = (PetscScalar*)(col + nz);
552 
553     *r = row; *c = col; *v = val;
554   } else {
555     row = *r; col = *c; val = *v;
556   }
557 
558   jj = 0; irow = rstart;
559   for (i=0; i<mbs; i++) {
560     countA = ai[i+1] - ai[i];
561     countB = bi[i+1] - bi[i];
562     ajj    = aj + ai[i];
563     bjj    = bj + bi[i];
564     v1     = av + bs2*ai[i];
565     v2     = bv + bs2*bi[i];
566 
567     idx = 0;
568     /* A-part */
569     for (k=0; k<countA; k++) {
570       for (j=0; j<bs; j++) {
571         for (n=0; n<bs; n++) {
572           if (reuse == MAT_INITIAL_MATRIX) {
573             row[jj] = irow + n + shift;
574             col[jj] = rstart + bs*ajj[k] + j + shift;
575           }
576           val[jj++] = v1[idx++];
577         }
578       }
579     }
580 
581     idx = 0;
582     /* B-part */
583     for (k=0; k<countB; k++) {
584       for (j=0; j<bs; j++) {
585         for (n=0; n<bs; n++) {
586           if (reuse == MAT_INITIAL_MATRIX) {
587             row[jj] = irow + n + shift;
588             col[jj] = bs*garray[bjj[k]] + j + shift;
589           }
590           val[jj++] = v2[idx++];
591         }
592       }
593     }
594     irow += bs;
595   }
596   PetscFunctionReturn(0);
597 }
598 
599 PetscErrorCode MatConvertToTriples_mpiaij_mpisbaij(Mat A,int shift,MatReuse reuse,int *nnz,int **r, int **c, PetscScalar **v)
600 {
601   const PetscInt    *ai, *aj,*adiag, *bi, *bj,*garray,m=A->rmap->n,*ajj,*bjj;
602   PetscErrorCode    ierr;
603   PetscInt          rstart,nz,nza,nzb,i,j,jj,irow,countA,countB;
604   PetscInt          *row,*col;
605   const PetscScalar *av, *bv,*v1,*v2;
606   PetscScalar       *val;
607   Mat_MPIAIJ        *mat =  (Mat_MPIAIJ*)A->data;
608   Mat_SeqAIJ        *aa  =(Mat_SeqAIJ*)(mat->A)->data;
609   Mat_SeqAIJ        *bb  =(Mat_SeqAIJ*)(mat->B)->data;
610 
611   PetscFunctionBegin;
612   ai=aa->i; aj=aa->j; adiag=aa->diag;
613   bi=bb->i; bj=bb->j; garray = mat->garray;
614   av=aa->a; bv=bb->a;
615 
616   rstart = A->rmap->rstart;
617 
618   if (reuse == MAT_INITIAL_MATRIX) {
619     nza = 0;    /* num of upper triangular entries in mat->A, including diagonals */
620     nzb = 0;    /* num of upper triangular entries in mat->B */
621     for (i=0; i<m; i++) {
622       nza   += (ai[i+1] - adiag[i]);
623       countB = bi[i+1] - bi[i];
624       bjj    = bj + bi[i];
625       for (j=0; j<countB; j++) {
626         if (garray[bjj[j]] > rstart) nzb++;
627       }
628     }
629 
630     nz   = nza + nzb; /* total nz of upper triangular part of mat */
631     *nnz = nz;
632     ierr = PetscMalloc((2*nz*sizeof(PetscInt)+nz*sizeof(PetscScalar)), &row);CHKERRQ(ierr);
633     col  = row + nz;
634     val  = (PetscScalar*)(col + nz);
635 
636     *r = row; *c = col; *v = val;
637   } else {
638     row = *r; col = *c; val = *v;
639   }
640 
641   jj = 0; irow = rstart;
642   for (i=0; i<m; i++) {
643     ajj    = aj + adiag[i];                 /* ptr to the beginning of the diagonal of this row */
644     v1     = av + adiag[i];
645     countA = ai[i+1] - adiag[i];
646     countB = bi[i+1] - bi[i];
647     bjj    = bj + bi[i];
648     v2     = bv + bi[i];
649 
650     /* A-part */
651     for (j=0; j<countA; j++) {
652       if (reuse == MAT_INITIAL_MATRIX) {
653         row[jj] = irow + shift; col[jj] = rstart + ajj[j] + shift;
654       }
655       val[jj++] = v1[j];
656     }
657 
658     /* B-part */
659     for (j=0; j < countB; j++) {
660       if (garray[bjj[j]] > rstart) {
661         if (reuse == MAT_INITIAL_MATRIX) {
662           row[jj] = irow + shift; col[jj] = garray[bjj[j]] + shift;
663         }
664         val[jj++] = v2[j];
665       }
666     }
667     irow++;
668   }
669   PetscFunctionReturn(0);
670 }
671 
672 PetscErrorCode MatDestroy_MUMPS(Mat A)
673 {
674   Mat_MUMPS      *mumps=(Mat_MUMPS*)A->data;
675   PetscErrorCode ierr;
676 
677   PetscFunctionBegin;
678   ierr = PetscFree2(mumps->id.sol_loc,mumps->id.isol_loc);CHKERRQ(ierr);
679   ierr = VecScatterDestroy(&mumps->scat_rhs);CHKERRQ(ierr);
680   ierr = VecScatterDestroy(&mumps->scat_sol);CHKERRQ(ierr);
681   ierr = VecDestroy(&mumps->b_seq);CHKERRQ(ierr);
682   ierr = VecDestroy(&mumps->x_seq);CHKERRQ(ierr);
683   ierr = PetscFree(mumps->id.perm_in);CHKERRQ(ierr);
684   ierr = PetscFree(mumps->irn);CHKERRQ(ierr);
685   ierr = PetscFree(mumps->info);CHKERRQ(ierr);
686   ierr = MatMumpsResetSchur_Private(mumps);CHKERRQ(ierr);
687   mumps->id.job = JOB_END;
688   PetscMUMPS_c(&mumps->id);
689   ierr = MPI_Comm_free(&mumps->comm_mumps);CHKERRQ(ierr);
690   ierr = PetscFree(A->data);CHKERRQ(ierr);
691 
692   /* clear composed functions */
693   ierr = PetscObjectComposeFunction((PetscObject)A,"MatFactorGetSolverPackage_C",NULL);CHKERRQ(ierr);
694   ierr = PetscObjectComposeFunction((PetscObject)A,"MatFactorSetSchurIS_C",NULL);CHKERRQ(ierr);
695   ierr = PetscObjectComposeFunction((PetscObject)A,"MatFactorCreateSchurComplement_C",NULL);CHKERRQ(ierr);
696   ierr = PetscObjectComposeFunction((PetscObject)A,"MatMumpsSetIcntl_C",NULL);CHKERRQ(ierr);
697   ierr = PetscObjectComposeFunction((PetscObject)A,"MatMumpsGetIcntl_C",NULL);CHKERRQ(ierr);
698   ierr = PetscObjectComposeFunction((PetscObject)A,"MatMumpsSetCntl_C",NULL);CHKERRQ(ierr);
699   ierr = PetscObjectComposeFunction((PetscObject)A,"MatMumpsGetCntl_C",NULL);CHKERRQ(ierr);
700   ierr = PetscObjectComposeFunction((PetscObject)A,"MatMumpsGetInfo_C",NULL);CHKERRQ(ierr);
701   ierr = PetscObjectComposeFunction((PetscObject)A,"MatMumpsGetInfog_C",NULL);CHKERRQ(ierr);
702   ierr = PetscObjectComposeFunction((PetscObject)A,"MatMumpsGetRinfo_C",NULL);CHKERRQ(ierr);
703   ierr = PetscObjectComposeFunction((PetscObject)A,"MatMumpsGetRinfog_C",NULL);CHKERRQ(ierr);
704   PetscFunctionReturn(0);
705 }
706 
707 PetscErrorCode MatSolve_MUMPS(Mat A,Vec b,Vec x)
708 {
709   Mat_MUMPS        *mumps=(Mat_MUMPS*)A->data;
710   PetscScalar      *array;
711   Vec              b_seq;
712   IS               is_iden,is_petsc;
713   PetscErrorCode   ierr;
714   PetscInt         i;
715   PetscBool        second_solve = PETSC_FALSE;
716   static PetscBool cite1 = PETSC_FALSE,cite2 = PETSC_FALSE;
717 
718   PetscFunctionBegin;
719   ierr = PetscCitationsRegister("@article{MUMPS01,\n  author = {P.~R. Amestoy and I.~S. Duff and J.-Y. L'Excellent and J. Koster},\n  title = {A fully asynchronous multifrontal solver using distributed dynamic scheduling},\n  journal = {SIAM Journal on Matrix Analysis and Applications},\n  volume = {23},\n  number = {1},\n  pages = {15--41},\n  year = {2001}\n}\n",&cite1);CHKERRQ(ierr);
720   ierr = PetscCitationsRegister("@article{MUMPS02,\n  author = {P.~R. Amestoy and A. Guermouche and J.-Y. L'Excellent and S. Pralet},\n  title = {Hybrid scheduling for the parallel solution of linear systems},\n  journal = {Parallel Computing},\n  volume = {32},\n  number = {2},\n  pages = {136--156},\n  year = {2006}\n}\n",&cite2);CHKERRQ(ierr);
721 
722   if (A->factorerrortype) {
723     ierr = PetscInfo2(A,"MatSolve is called with singular matrix factor, INFOG(1)=%d, INFO(2)=%d\n",mumps->id.INFOG(1),mumps->id.INFO(2));CHKERRQ(ierr);
724     ierr = VecSetInf(x);CHKERRQ(ierr);
725     PetscFunctionReturn(0);
726   }
727 
728   mumps->id.nrhs = 1;
729   b_seq          = mumps->b_seq;
730   if (mumps->size > 1) {
731     /* MUMPS only supports centralized rhs. Scatter b into a seqential rhs vector */
732     ierr = VecScatterBegin(mumps->scat_rhs,b,b_seq,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
733     ierr = VecScatterEnd(mumps->scat_rhs,b,b_seq,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
734     if (!mumps->myid) {ierr = VecGetArray(b_seq,&array);CHKERRQ(ierr);}
735   } else {  /* size == 1 */
736     ierr = VecCopy(b,x);CHKERRQ(ierr);
737     ierr = VecGetArray(x,&array);CHKERRQ(ierr);
738   }
739   if (!mumps->myid) { /* define rhs on the host */
740     mumps->id.nrhs = 1;
741     mumps->id.rhs = (MumpsScalar*)array;
742   }
743 
744   /*
745      handle condensation step of Schur complement (if any)
746      We set by default ICNTL(26) == -1 when Schur indices have been provided by the user.
747      According to MUMPS (5.0.0) manual, any value should be harmful during the factorization phase
748      Unless the user provides a valid value for ICNTL(26), MatSolve and MatMatSolve routines solve the full system.
749      This requires an extra call to PetscMUMPS_c and the computation of the factors for S
750   */
751   if (mumps->id.ICNTL(26) < 0 || mumps->id.ICNTL(26) > 2) {
752     if (mumps->size > 1) SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_SUP,"Parallel Schur complements not yet supported from PETSc\n");
753     second_solve = PETSC_TRUE;
754     ierr = MatMumpsHandleSchur_Private(A,PETSC_FALSE);CHKERRQ(ierr);
755   }
756   /* solve phase */
757   /*-------------*/
758   mumps->id.job = JOB_SOLVE;
759   PetscMUMPS_c(&mumps->id);
760   if (mumps->id.INFOG(1) < 0) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error reported by MUMPS in solve phase: INFOG(1)=%d\n",mumps->id.INFOG(1));
761 
762   /* handle expansion step of Schur complement (if any) */
763   if (second_solve) {
764     ierr = MatMumpsHandleSchur_Private(A,PETSC_TRUE);CHKERRQ(ierr);
765   }
766 
767   if (mumps->size > 1) { /* convert mumps distributed solution to petsc mpi x */
768     if (mumps->scat_sol && mumps->ICNTL9_pre != mumps->id.ICNTL(9)) {
769       /* when id.ICNTL(9) changes, the contents of lsol_loc may change (not its size, lsol_loc), recreates scat_sol */
770       ierr = VecScatterDestroy(&mumps->scat_sol);CHKERRQ(ierr);
771     }
772     if (!mumps->scat_sol) { /* create scatter scat_sol */
773       ierr = ISCreateStride(PETSC_COMM_SELF,mumps->id.lsol_loc,0,1,&is_iden);CHKERRQ(ierr); /* from */
774       for (i=0; i<mumps->id.lsol_loc; i++) {
775         mumps->id.isol_loc[i] -= 1; /* change Fortran style to C style */
776       }
777       ierr = ISCreateGeneral(PETSC_COMM_SELF,mumps->id.lsol_loc,mumps->id.isol_loc,PETSC_COPY_VALUES,&is_petsc);CHKERRQ(ierr);  /* to */
778       ierr = VecScatterCreate(mumps->x_seq,is_iden,x,is_petsc,&mumps->scat_sol);CHKERRQ(ierr);
779       ierr = ISDestroy(&is_iden);CHKERRQ(ierr);
780       ierr = ISDestroy(&is_petsc);CHKERRQ(ierr);
781 
782       mumps->ICNTL9_pre = mumps->id.ICNTL(9); /* save current value of id.ICNTL(9) */
783     }
784 
785     ierr = VecScatterBegin(mumps->scat_sol,mumps->x_seq,x,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
786     ierr = VecScatterEnd(mumps->scat_sol,mumps->x_seq,x,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
787   }
788   PetscFunctionReturn(0);
789 }
790 
791 PetscErrorCode MatSolveTranspose_MUMPS(Mat A,Vec b,Vec x)
792 {
793   Mat_MUMPS      *mumps=(Mat_MUMPS*)A->data;
794   PetscErrorCode ierr;
795 
796   PetscFunctionBegin;
797   mumps->id.ICNTL(9) = 0;
798   ierr = MatSolve_MUMPS(A,b,x);CHKERRQ(ierr);
799   mumps->id.ICNTL(9) = 1;
800   PetscFunctionReturn(0);
801 }
802 
803 PetscErrorCode MatMatSolve_MUMPS(Mat A,Mat B,Mat X)
804 {
805   PetscErrorCode ierr;
806   Mat            Bt = NULL;
807   PetscBool      flg, flgT;
808   Mat_MUMPS      *mumps=(Mat_MUMPS*)A->data;
809   PetscInt       i,nrhs,M;
810   PetscScalar    *array,*bray;
811 
812   PetscFunctionBegin;
813   ierr = PetscObjectTypeCompareAny((PetscObject)B,&flg,MATSEQDENSE,MATMPIDENSE,NULL);CHKERRQ(ierr);
814   ierr = PetscObjectTypeCompare((PetscObject)B,MATTRANSPOSEMAT,&flgT);CHKERRQ(ierr);
815   if (flgT) {
816     if (mumps->size > 1) SETERRQ(PetscObjectComm((PetscObject)B),PETSC_ERR_ARG_WRONG,"Matrix B must be MATDENSE matrix");
817     ierr = MatTransposeGetMat(B,&Bt);CHKERRQ(ierr);
818   } else {
819     if (!flg) SETERRQ(PetscObjectComm((PetscObject)B),PETSC_ERR_ARG_WRONG,"Matrix B must be MATDENSE matrix");
820   }
821   ierr = PetscObjectTypeCompareAny((PetscObject)X,&flg,MATSEQDENSE,MATMPIDENSE,NULL);CHKERRQ(ierr);
822   if (!flg) SETERRQ(PetscObjectComm((PetscObject)X),PETSC_ERR_ARG_WRONG,"Matrix X must be MATDENSE matrix");
823   if (B->rmap->n != X->rmap->n) SETERRQ(PetscObjectComm((PetscObject)B),PETSC_ERR_ARG_WRONG,"Matrix B and X must have same row distribution");
824 
825   ierr = MatGetSize(B,&M,&nrhs);CHKERRQ(ierr);
826   mumps->id.nrhs = nrhs;
827   mumps->id.lrhs = M;
828 
829   if (mumps->size == 1) {
830     PetscScalar *aa;
831     PetscInt    spnr,*ia,*ja;
832     PetscBool   second_solve = PETSC_FALSE;
833 
834     /* copy B to X */
835     ierr = MatDenseGetArray(X,&array);CHKERRQ(ierr);
836     mumps->id.rhs = (MumpsScalar*)array;
837     if (!Bt) {
838       ierr = MatDenseGetArray(B,&bray);CHKERRQ(ierr);
839       ierr = PetscMemcpy(array,bray,M*nrhs*sizeof(PetscScalar));CHKERRQ(ierr);
840       ierr = MatDenseRestoreArray(B,&bray);CHKERRQ(ierr);
841     } else {
842       PetscBool done;
843 
844       ierr = MatSeqAIJGetArray(Bt,&aa);CHKERRQ(ierr);
845       ierr = MatGetRowIJ(Bt,1,PETSC_FALSE,PETSC_FALSE,&spnr,(const PetscInt**)&ia,(const PetscInt**)&ja,&done);CHKERRQ(ierr);
846       if (!done) SETERRQ(PetscObjectComm((PetscObject)Bt),PETSC_ERR_ARG_WRONG,"Cannot get IJ structure");
847       mumps->id.irhs_ptr    = ia;
848       mumps->id.irhs_sparse = ja;
849       mumps->id.nz_rhs      = ia[spnr] - 1;
850       mumps->id.rhs_sparse  = (MumpsScalar*)aa;
851       mumps->id.ICNTL(20)   = 1;
852     }
853     /* handle condensation step of Schur complement (if any) */
854     if (mumps->id.ICNTL(26) < 0 || mumps->id.ICNTL(26) > 2) {
855       second_solve = PETSC_TRUE;
856       ierr = MatMumpsHandleSchur_Private(A,PETSC_FALSE);CHKERRQ(ierr);
857     }
858     /* solve phase */
859     /*-------------*/
860     mumps->id.job = JOB_SOLVE;
861     PetscMUMPS_c(&mumps->id);
862     if (mumps->id.INFOG(1) < 0) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error reported by MUMPS in solve phase: INFOG(1)=%d\n",mumps->id.INFOG(1));
863 
864     /* handle expansion step of Schur complement (if any) */
865     if (second_solve) {
866       ierr = MatMumpsHandleSchur_Private(A,PETSC_TRUE);CHKERRQ(ierr);
867     }
868     if (Bt) {
869       PetscBool done;
870 
871       ierr = MatSeqAIJRestoreArray(Bt,&aa);CHKERRQ(ierr);
872       ierr = MatRestoreRowIJ(Bt,1,PETSC_FALSE,PETSC_FALSE,&spnr,(const PetscInt**)&ia,(const PetscInt**)&ja,&done);CHKERRQ(ierr);
873       if (!done) SETERRQ(PetscObjectComm((PetscObject)Bt),PETSC_ERR_ARG_WRONG,"Cannot restore IJ structure");
874       mumps->id.ICNTL(20) = 0;
875     }
876     ierr = MatDenseRestoreArray(X,&array);CHKERRQ(ierr);
877   } else {  /*--------- parallel case --------*/
878     PetscInt       lsol_loc,nlsol_loc,*isol_loc,*idx,*iidx,*idxx,*isol_loc_save;
879     MumpsScalar    *sol_loc,*sol_loc_save;
880     IS             is_to,is_from;
881     PetscInt       k,proc,j,m;
882     const PetscInt *rstart;
883     Vec            v_mpi,b_seq,x_seq;
884     VecScatter     scat_rhs,scat_sol;
885 
886     if (mumps->size > 1 && mumps->id.ICNTL(19)) SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_SUP,"Parallel Schur complements not yet supported from PETSc\n");
887 
888     /* create x_seq to hold local solution */
889     isol_loc_save = mumps->id.isol_loc; /* save it for MatSovle() */
890     sol_loc_save  = mumps->id.sol_loc;
891 
892     lsol_loc  = mumps->id.INFO(23);
893     nlsol_loc = nrhs*lsol_loc;     /* length of sol_loc */
894     ierr = PetscMalloc2(nlsol_loc,&sol_loc,nlsol_loc,&isol_loc);CHKERRQ(ierr);
895     mumps->id.sol_loc = (MumpsScalar*)sol_loc;
896     mumps->id.isol_loc = isol_loc;
897 
898     ierr = VecCreateSeqWithArray(PETSC_COMM_SELF,1,nlsol_loc,(PetscScalar*)sol_loc,&x_seq);CHKERRQ(ierr);
899 
900     /* copy rhs matrix B into vector v_mpi */
901     ierr = MatGetLocalSize(B,&m,NULL);CHKERRQ(ierr);
902     ierr = MatDenseGetArray(B,&bray);CHKERRQ(ierr);
903     ierr = VecCreateMPIWithArray(PetscObjectComm((PetscObject)B),1,nrhs*m,nrhs*M,(const PetscScalar*)bray,&v_mpi);CHKERRQ(ierr);
904     ierr = MatDenseRestoreArray(B,&bray);CHKERRQ(ierr);
905 
906     /* scatter v_mpi to b_seq because MUMPS only supports centralized rhs */
907     /* idx: maps from k-th index of v_mpi to (i,j)-th global entry of B;
908       iidx: inverse of idx, will be used by scattering xx_seq -> X       */
909     ierr = PetscMalloc2(nrhs*M,&idx,nrhs*M,&iidx);CHKERRQ(ierr);
910     ierr = MatGetOwnershipRanges(B,&rstart);CHKERRQ(ierr);
911     k = 0;
912     for (proc=0; proc<mumps->size; proc++){
913       for (j=0; j<nrhs; j++){
914         for (i=rstart[proc]; i<rstart[proc+1]; i++){
915           iidx[j*M + i] = k;
916           idx[k++]      = j*M + i;
917         }
918       }
919     }
920 
921     if (!mumps->myid) {
922       ierr = VecCreateSeq(PETSC_COMM_SELF,nrhs*M,&b_seq);CHKERRQ(ierr);
923       ierr = ISCreateGeneral(PETSC_COMM_SELF,nrhs*M,idx,PETSC_COPY_VALUES,&is_to);CHKERRQ(ierr);
924       ierr = ISCreateStride(PETSC_COMM_SELF,nrhs*M,0,1,&is_from);CHKERRQ(ierr);
925     } else {
926       ierr = VecCreateSeq(PETSC_COMM_SELF,0,&b_seq);CHKERRQ(ierr);
927       ierr = ISCreateStride(PETSC_COMM_SELF,0,0,1,&is_to);CHKERRQ(ierr);
928       ierr = ISCreateStride(PETSC_COMM_SELF,0,0,1,&is_from);CHKERRQ(ierr);
929     }
930     ierr = VecScatterCreate(v_mpi,is_from,b_seq,is_to,&scat_rhs);CHKERRQ(ierr);
931     ierr = VecScatterBegin(scat_rhs,v_mpi,b_seq,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
932     ierr = ISDestroy(&is_to);CHKERRQ(ierr);
933     ierr = ISDestroy(&is_from);CHKERRQ(ierr);
934     ierr = VecScatterEnd(scat_rhs,v_mpi,b_seq,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
935 
936     if (!mumps->myid) { /* define rhs on the host */
937       ierr = VecGetArray(b_seq,&bray);CHKERRQ(ierr);
938       mumps->id.rhs = (MumpsScalar*)bray;
939       ierr = VecRestoreArray(b_seq,&bray);CHKERRQ(ierr);
940     }
941 
942     /* solve phase */
943     /*-------------*/
944     mumps->id.job = JOB_SOLVE;
945     PetscMUMPS_c(&mumps->id);
946     if (mumps->id.INFOG(1) < 0) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error reported by MUMPS in solve phase: INFOG(1)=%d\n",mumps->id.INFOG(1));
947 
948     /* scatter mumps distributed solution to petsc vector v_mpi, which shares local arrays with solution matrix X */
949     ierr = MatDenseGetArray(X,&array);CHKERRQ(ierr);
950     ierr = VecPlaceArray(v_mpi,array);CHKERRQ(ierr);
951 
952     /* create scatter scat_sol */
953     ierr = PetscMalloc1(nlsol_loc,&idxx);CHKERRQ(ierr);
954     ierr = ISCreateStride(PETSC_COMM_SELF,nlsol_loc,0,1,&is_from);CHKERRQ(ierr);
955     for (i=0; i<lsol_loc; i++) {
956       isol_loc[i] -= 1; /* change Fortran style to C style */
957       idxx[i] = iidx[isol_loc[i]];
958       for (j=1; j<nrhs; j++){
959         idxx[j*lsol_loc+i] = iidx[isol_loc[i]+j*M];
960       }
961     }
962     ierr = ISCreateGeneral(PETSC_COMM_SELF,nlsol_loc,idxx,PETSC_COPY_VALUES,&is_to);CHKERRQ(ierr);
963     ierr = VecScatterCreate(x_seq,is_from,v_mpi,is_to,&scat_sol);CHKERRQ(ierr);
964     ierr = VecScatterBegin(scat_sol,x_seq,v_mpi,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
965     ierr = ISDestroy(&is_from);CHKERRQ(ierr);
966     ierr = ISDestroy(&is_to);CHKERRQ(ierr);
967     ierr = VecScatterEnd(scat_sol,x_seq,v_mpi,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
968     ierr = MatDenseRestoreArray(X,&array);CHKERRQ(ierr);
969 
970     /* free spaces */
971     mumps->id.sol_loc = sol_loc_save;
972     mumps->id.isol_loc = isol_loc_save;
973 
974     ierr = PetscFree2(sol_loc,isol_loc);CHKERRQ(ierr);
975     ierr = PetscFree2(idx,iidx);CHKERRQ(ierr);
976     ierr = PetscFree(idxx);CHKERRQ(ierr);
977     ierr = VecDestroy(&x_seq);CHKERRQ(ierr);
978     ierr = VecDestroy(&v_mpi);CHKERRQ(ierr);
979     ierr = VecDestroy(&b_seq);CHKERRQ(ierr);
980     ierr = VecScatterDestroy(&scat_rhs);CHKERRQ(ierr);
981     ierr = VecScatterDestroy(&scat_sol);CHKERRQ(ierr);
982   }
983   PetscFunctionReturn(0);
984 }
985 
986 #if !defined(PETSC_USE_COMPLEX)
987 /*
988   input:
989    F:        numeric factor
990   output:
991    nneg:     total number of negative pivots
992    nzero:    total number of zero pivots
993    npos:     (global dimension of F) - nneg - nzero
994 */
995 PetscErrorCode MatGetInertia_SBAIJMUMPS(Mat F,int *nneg,int *nzero,int *npos)
996 {
997   Mat_MUMPS      *mumps =(Mat_MUMPS*)F->data;
998   PetscErrorCode ierr;
999   PetscMPIInt    size;
1000 
1001   PetscFunctionBegin;
1002   ierr = MPI_Comm_size(PetscObjectComm((PetscObject)F),&size);CHKERRQ(ierr);
1003   /* 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 */
1004   if (size > 1 && mumps->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",mumps->id.INFOG(13));
1005 
1006   if (nneg) *nneg = mumps->id.INFOG(12);
1007   if (nzero || npos) {
1008     if (mumps->id.ICNTL(24) != 1) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"-mat_mumps_icntl_24 must be set as 1 for null pivot row detection");
1009     if (nzero) *nzero = mumps->id.INFOG(28);
1010     if (npos) *npos   = F->rmap->N - (mumps->id.INFOG(12) + mumps->id.INFOG(28));
1011   }
1012   PetscFunctionReturn(0);
1013 }
1014 #endif
1015 
1016 PetscErrorCode MatFactorNumeric_MUMPS(Mat F,Mat A,const MatFactorInfo *info)
1017 {
1018   Mat_MUMPS      *mumps =(Mat_MUMPS*)(F)->data;
1019   PetscErrorCode ierr;
1020   PetscBool      isMPIAIJ;
1021 
1022   PetscFunctionBegin;
1023   if (mumps->id.INFOG(1) < 0) {
1024     if (mumps->id.INFOG(1) == -6) {
1025       ierr = PetscInfo2(A,"MatFactorNumeric is called with singular matrix structure, INFOG(1)=%d, INFO(2)=%d\n",mumps->id.INFOG(1),mumps->id.INFO(2));CHKERRQ(ierr);
1026     }
1027     ierr = PetscInfo2(A,"MatFactorNumeric is called after analysis phase fails, INFOG(1)=%d, INFO(2)=%d\n",mumps->id.INFOG(1),mumps->id.INFO(2));CHKERRQ(ierr);
1028     PetscFunctionReturn(0);
1029   }
1030 
1031   ierr = (*mumps->ConvertToTriples)(A, 1, MAT_REUSE_MATRIX, &mumps->nz, &mumps->irn, &mumps->jcn, &mumps->val);CHKERRQ(ierr);
1032 
1033   /* numerical factorization phase */
1034   /*-------------------------------*/
1035   mumps->id.job = JOB_FACTNUMERIC;
1036   if (!mumps->id.ICNTL(18)) { /* A is centralized */
1037     if (!mumps->myid) {
1038       mumps->id.a = (MumpsScalar*)mumps->val;
1039     }
1040   } else {
1041     mumps->id.a_loc = (MumpsScalar*)mumps->val;
1042   }
1043   PetscMUMPS_c(&mumps->id);
1044   if (mumps->id.INFOG(1) < 0) {
1045     if (A->erroriffailure) {
1046       SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error reported by MUMPS in numerical factorization phase: INFOG(1)=%d, INFO(2)=%d\n",mumps->id.INFOG(1),mumps->id.INFO(2));
1047     } else {
1048       if (mumps->id.INFOG(1) == -10) { /* numerically singular matrix */
1049         ierr = PetscInfo2(F,"matrix is numerically singular, INFOG(1)=%d, INFO(2)=%d\n",mumps->id.INFOG(1),mumps->id.INFO(2));CHKERRQ(ierr);
1050         F->factorerrortype = MAT_FACTOR_NUMERIC_ZEROPIVOT;
1051       } else if (mumps->id.INFOG(1) == -13) {
1052         ierr = PetscInfo2(F,"MUMPS in numerical factorization phase: INFOG(1)=%d, cannot allocate required memory %d megabytes\n",mumps->id.INFOG(1),mumps->id.INFO(2));CHKERRQ(ierr);
1053         F->factorerrortype = MAT_FACTOR_OUTMEMORY;
1054       } else if (mumps->id.INFOG(1) == -8 || mumps->id.INFOG(1) == -9 || (-16 < mumps->id.INFOG(1) && mumps->id.INFOG(1) < -10) ) {
1055         ierr = PetscInfo2(F,"MUMPS in numerical factorization phase: INFOG(1)=%d, INFO(2)=%d, problem with workarray \n",mumps->id.INFOG(1),mumps->id.INFO(2));CHKERRQ(ierr);
1056         F->factorerrortype = MAT_FACTOR_OUTMEMORY;
1057       } else {
1058         ierr = PetscInfo2(F,"MUMPS in numerical factorization phase: INFOG(1)=%d, INFO(2)=%d\n",mumps->id.INFOG(1),mumps->id.INFO(2));CHKERRQ(ierr);
1059         F->factorerrortype = MAT_FACTOR_OTHER;
1060       }
1061     }
1062   }
1063   if (!mumps->myid && mumps->id.ICNTL(16) > 0) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"  mumps->id.ICNTL(16):=%d\n",mumps->id.INFOG(16));
1064 
1065   F->assembled    = PETSC_TRUE;
1066   mumps->matstruc = SAME_NONZERO_PATTERN;
1067   if (F->schur) { /* reset Schur status to unfactored */
1068     if (mumps->id.ICNTL(19) == 1) { /* stored by rows */
1069       mumps->id.ICNTL(19) = 2;
1070       ierr = MatTranspose(F->schur,MAT_INPLACE_MATRIX,&F->schur);CHKERRQ(ierr);
1071     }
1072     ierr = MatFactorRestoreSchurComplement(F,NULL,MAT_FACTOR_SCHUR_UNFACTORED);CHKERRQ(ierr);
1073   }
1074 
1075   /* just to be sure that ICNTL(19) value returned by a call from MatMumpsGetIcntl is always consistent */
1076   if (!mumps->sym && mumps->id.ICNTL(19) && mumps->id.ICNTL(19) != 1) mumps->id.ICNTL(19) = 3;
1077 
1078   if (mumps->size > 1) {
1079     PetscInt    lsol_loc;
1080     PetscScalar *sol_loc;
1081 
1082     ierr = PetscObjectTypeCompare((PetscObject)A,MATMPIAIJ,&isMPIAIJ);CHKERRQ(ierr);
1083 
1084     /* distributed solution; Create x_seq=sol_loc for repeated use */
1085     if (mumps->x_seq) {
1086       ierr = VecScatterDestroy(&mumps->scat_sol);CHKERRQ(ierr);
1087       ierr = PetscFree2(mumps->id.sol_loc,mumps->id.isol_loc);CHKERRQ(ierr);
1088       ierr = VecDestroy(&mumps->x_seq);CHKERRQ(ierr);
1089     }
1090     lsol_loc = mumps->id.INFO(23); /* length of sol_loc */
1091     ierr = PetscMalloc2(lsol_loc,&sol_loc,lsol_loc,&mumps->id.isol_loc);CHKERRQ(ierr);
1092     mumps->id.lsol_loc = lsol_loc;
1093     mumps->id.sol_loc = (MumpsScalar*)sol_loc;
1094     ierr = VecCreateSeqWithArray(PETSC_COMM_SELF,1,lsol_loc,sol_loc,&mumps->x_seq);CHKERRQ(ierr);
1095   }
1096   PetscFunctionReturn(0);
1097 }
1098 
1099 /* Sets MUMPS options from the options database */
1100 PetscErrorCode PetscSetMUMPSFromOptions(Mat F, Mat A)
1101 {
1102   Mat_MUMPS      *mumps = (Mat_MUMPS*)F->data;
1103   PetscErrorCode ierr;
1104   PetscInt       icntl,info[40],i,ninfo=40;
1105   PetscBool      flg;
1106 
1107   PetscFunctionBegin;
1108   ierr = PetscOptionsBegin(PetscObjectComm((PetscObject)A),((PetscObject)A)->prefix,"MUMPS Options","Mat");CHKERRQ(ierr);
1109   ierr = PetscOptionsInt("-mat_mumps_icntl_1","ICNTL(1): output stream for error messages","None",mumps->id.ICNTL(1),&icntl,&flg);CHKERRQ(ierr);
1110   if (flg) mumps->id.ICNTL(1) = icntl;
1111   ierr = PetscOptionsInt("-mat_mumps_icntl_2","ICNTL(2): output stream for diagnostic printing, statistics, and warning","None",mumps->id.ICNTL(2),&icntl,&flg);CHKERRQ(ierr);
1112   if (flg) mumps->id.ICNTL(2) = icntl;
1113   ierr = PetscOptionsInt("-mat_mumps_icntl_3","ICNTL(3): output stream for global information, collected on the host","None",mumps->id.ICNTL(3),&icntl,&flg);CHKERRQ(ierr);
1114   if (flg) mumps->id.ICNTL(3) = icntl;
1115 
1116   ierr = PetscOptionsInt("-mat_mumps_icntl_4","ICNTL(4): level of printing (0 to 4)","None",mumps->id.ICNTL(4),&icntl,&flg);CHKERRQ(ierr);
1117   if (flg) mumps->id.ICNTL(4) = icntl;
1118   if (mumps->id.ICNTL(4) || PetscLogPrintInfo) mumps->id.ICNTL(3) = 6; /* resume MUMPS default id.ICNTL(3) = 6 */
1119 
1120   ierr = PetscOptionsInt("-mat_mumps_icntl_6","ICNTL(6): permutes to a zero-free diagonal and/or scale the matrix (0 to 7)","None",mumps->id.ICNTL(6),&icntl,&flg);CHKERRQ(ierr);
1121   if (flg) mumps->id.ICNTL(6) = icntl;
1122 
1123   ierr = PetscOptionsInt("-mat_mumps_icntl_7","ICNTL(7): computes a symmetric permutation in sequential analysis (0 to 7). 3=Scotch, 4=PORD, 5=Metis","None",mumps->id.ICNTL(7),&icntl,&flg);CHKERRQ(ierr);
1124   if (flg) {
1125     if (icntl== 1 && mumps->size > 1) 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");
1126     else mumps->id.ICNTL(7) = icntl;
1127   }
1128 
1129   ierr = PetscOptionsInt("-mat_mumps_icntl_8","ICNTL(8): scaling strategy (-2 to 8 or 77)","None",mumps->id.ICNTL(8),&mumps->id.ICNTL(8),NULL);CHKERRQ(ierr);
1130   /* ierr = PetscOptionsInt("-mat_mumps_icntl_9","ICNTL(9): computes the solution using A or A^T","None",mumps->id.ICNTL(9),&mumps->id.ICNTL(9),NULL);CHKERRQ(ierr); handled by MatSolveTranspose_MUMPS() */
1131   ierr = PetscOptionsInt("-mat_mumps_icntl_10","ICNTL(10): max num of refinements","None",mumps->id.ICNTL(10),&mumps->id.ICNTL(10),NULL);CHKERRQ(ierr);
1132   ierr = PetscOptionsInt("-mat_mumps_icntl_11","ICNTL(11): statistics related to an error analysis (via -ksp_view)","None",mumps->id.ICNTL(11),&mumps->id.ICNTL(11),NULL);CHKERRQ(ierr);
1133   ierr = PetscOptionsInt("-mat_mumps_icntl_12","ICNTL(12): an ordering strategy for symmetric matrices (0 to 3)","None",mumps->id.ICNTL(12),&mumps->id.ICNTL(12),NULL);CHKERRQ(ierr);
1134   ierr = PetscOptionsInt("-mat_mumps_icntl_13","ICNTL(13): parallelism of the root node (enable ScaLAPACK) and its splitting","None",mumps->id.ICNTL(13),&mumps->id.ICNTL(13),NULL);CHKERRQ(ierr);
1135   ierr = PetscOptionsInt("-mat_mumps_icntl_14","ICNTL(14): percentage increase in the estimated working space","None",mumps->id.ICNTL(14),&mumps->id.ICNTL(14),NULL);CHKERRQ(ierr);
1136   ierr = PetscOptionsInt("-mat_mumps_icntl_19","ICNTL(19): computes the Schur complement","None",mumps->id.ICNTL(19),&mumps->id.ICNTL(19),NULL);CHKERRQ(ierr);
1137   if (mumps->id.ICNTL(19) <= 0 || mumps->id.ICNTL(19) > 3) { /* reset any schur data (if any) */
1138     ierr = MatDestroy(&F->schur);CHKERRQ(ierr);
1139     ierr = MatMumpsResetSchur_Private(mumps);CHKERRQ(ierr);
1140   }
1141   /* ierr = PetscOptionsInt("-mat_mumps_icntl_20","ICNTL(20): the format (dense or sparse) of the right-hand sides","None",mumps->id.ICNTL(20),&mumps->id.ICNTL(20),NULL);CHKERRQ(ierr); -- sparse rhs is not supported in PETSc API */
1142   /* ierr = PetscOptionsInt("-mat_mumps_icntl_21","ICNTL(21): the distribution (centralized or distributed) of the solution vectors","None",mumps->id.ICNTL(21),&mumps->id.ICNTL(21),NULL);CHKERRQ(ierr); we only use distributed solution vector */
1143 
1144   ierr = PetscOptionsInt("-mat_mumps_icntl_22","ICNTL(22): in-core/out-of-core factorization and solve (0 or 1)","None",mumps->id.ICNTL(22),&mumps->id.ICNTL(22),NULL);CHKERRQ(ierr);
1145   ierr = PetscOptionsInt("-mat_mumps_icntl_23","ICNTL(23): max size of the working memory (MB) that can allocate per processor","None",mumps->id.ICNTL(23),&mumps->id.ICNTL(23),NULL);CHKERRQ(ierr);
1146   ierr = PetscOptionsInt("-mat_mumps_icntl_24","ICNTL(24): detection of null pivot rows (0 or 1)","None",mumps->id.ICNTL(24),&mumps->id.ICNTL(24),NULL);CHKERRQ(ierr);
1147   if (mumps->id.ICNTL(24)) {
1148     mumps->id.ICNTL(13) = 1; /* turn-off ScaLAPACK to help with the correct detection of null pivots */
1149   }
1150 
1151   ierr = PetscOptionsInt("-mat_mumps_icntl_25","ICNTL(25): compute a solution of a deficient matrix and a null space basis","None",mumps->id.ICNTL(25),&mumps->id.ICNTL(25),NULL);CHKERRQ(ierr);
1152   ierr = PetscOptionsInt("-mat_mumps_icntl_26","ICNTL(26): drives the solution phase if a Schur complement matrix","None",mumps->id.ICNTL(26),&mumps->id.ICNTL(26),NULL);CHKERRQ(ierr);
1153   ierr = PetscOptionsInt("-mat_mumps_icntl_27","ICNTL(27): the blocking size for multiple right-hand sides","None",mumps->id.ICNTL(27),&mumps->id.ICNTL(27),NULL);CHKERRQ(ierr);
1154   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",mumps->id.ICNTL(28),&mumps->id.ICNTL(28),NULL);CHKERRQ(ierr);
1155   ierr = PetscOptionsInt("-mat_mumps_icntl_29","ICNTL(29): parallel ordering 1 = ptscotch, 2 = parmetis","None",mumps->id.ICNTL(29),&mumps->id.ICNTL(29),NULL);CHKERRQ(ierr);
1156   ierr = PetscOptionsInt("-mat_mumps_icntl_30","ICNTL(30): compute user-specified set of entries in inv(A)","None",mumps->id.ICNTL(30),&mumps->id.ICNTL(30),NULL);CHKERRQ(ierr);
1157   ierr = PetscOptionsInt("-mat_mumps_icntl_31","ICNTL(31): indicates which factors may be discarded during factorization","None",mumps->id.ICNTL(31),&mumps->id.ICNTL(31),NULL);CHKERRQ(ierr);
1158   /* ierr = PetscOptionsInt("-mat_mumps_icntl_32","ICNTL(32): performs the forward elemination of the right-hand sides during factorization","None",mumps->id.ICNTL(32),&mumps->id.ICNTL(32),NULL);CHKERRQ(ierr);  -- not supported by PETSc API */
1159   ierr = PetscOptionsInt("-mat_mumps_icntl_33","ICNTL(33): compute determinant","None",mumps->id.ICNTL(33),&mumps->id.ICNTL(33),NULL);CHKERRQ(ierr);
1160 
1161   ierr = PetscOptionsReal("-mat_mumps_cntl_1","CNTL(1): relative pivoting threshold","None",mumps->id.CNTL(1),&mumps->id.CNTL(1),NULL);CHKERRQ(ierr);
1162   ierr = PetscOptionsReal("-mat_mumps_cntl_2","CNTL(2): stopping criterion of refinement","None",mumps->id.CNTL(2),&mumps->id.CNTL(2),NULL);CHKERRQ(ierr);
1163   ierr = PetscOptionsReal("-mat_mumps_cntl_3","CNTL(3): absolute pivoting threshold","None",mumps->id.CNTL(3),&mumps->id.CNTL(3),NULL);CHKERRQ(ierr);
1164   ierr = PetscOptionsReal("-mat_mumps_cntl_4","CNTL(4): value for static pivoting","None",mumps->id.CNTL(4),&mumps->id.CNTL(4),NULL);CHKERRQ(ierr);
1165   ierr = PetscOptionsReal("-mat_mumps_cntl_5","CNTL(5): fixation for null pivots","None",mumps->id.CNTL(5),&mumps->id.CNTL(5),NULL);CHKERRQ(ierr);
1166 
1167   ierr = PetscOptionsString("-mat_mumps_ooc_tmpdir", "out of core directory", "None", mumps->id.ooc_tmpdir, mumps->id.ooc_tmpdir, 256, NULL);CHKERRQ(ierr);
1168 
1169   ierr = PetscOptionsIntArray("-mat_mumps_view_info","request INFO local to each processor","",info,&ninfo,NULL);CHKERRQ(ierr);
1170   if (ninfo) {
1171     if (ninfo > 40) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_USER,"number of INFO %d must <= 40\n",ninfo);
1172     ierr = PetscMalloc1(ninfo,&mumps->info);CHKERRQ(ierr);
1173     mumps->ninfo = ninfo;
1174     for (i=0; i<ninfo; i++) {
1175       if (info[i] < 0 || info[i]>40) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_USER,"index of INFO %d must between 1 and 40\n",ninfo);
1176       else  mumps->info[i] = info[i];
1177     }
1178   }
1179 
1180   ierr = PetscOptionsEnd();CHKERRQ(ierr);
1181   PetscFunctionReturn(0);
1182 }
1183 
1184 PetscErrorCode PetscInitializeMUMPS(Mat A,Mat_MUMPS *mumps)
1185 {
1186   PetscErrorCode ierr;
1187 
1188   PetscFunctionBegin;
1189   ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)A), &mumps->myid);CHKERRQ(ierr);
1190   ierr = MPI_Comm_size(PetscObjectComm((PetscObject)A),&mumps->size);CHKERRQ(ierr);
1191   ierr = MPI_Comm_dup(PetscObjectComm((PetscObject)A),&(mumps->comm_mumps));CHKERRQ(ierr);
1192 
1193   mumps->id.comm_fortran = MPI_Comm_c2f(mumps->comm_mumps);
1194 
1195   mumps->id.job = JOB_INIT;
1196   mumps->id.par = 1;  /* host participates factorizaton and solve */
1197   mumps->id.sym = mumps->sym;
1198   PetscMUMPS_c(&mumps->id);
1199 
1200   mumps->scat_rhs     = NULL;
1201   mumps->scat_sol     = NULL;
1202 
1203   /* set PETSc-MUMPS default options - override MUMPS default */
1204   mumps->id.ICNTL(3) = 0;
1205   mumps->id.ICNTL(4) = 0;
1206   if (mumps->size == 1) {
1207     mumps->id.ICNTL(18) = 0;   /* centralized assembled matrix input */
1208   } else {
1209     mumps->id.ICNTL(18) = 3;   /* distributed assembled matrix input */
1210     mumps->id.ICNTL(20) = 0;   /* rhs is in dense format */
1211     mumps->id.ICNTL(21) = 1;   /* distributed solution */
1212   }
1213 
1214   /* schur */
1215   mumps->id.size_schur      = 0;
1216   mumps->id.listvar_schur   = NULL;
1217   mumps->id.schur           = NULL;
1218   mumps->sizeredrhs         = 0;
1219   mumps->schur_sol          = NULL;
1220   mumps->schur_sizesol      = 0;
1221   PetscFunctionReturn(0);
1222 }
1223 
1224 PetscErrorCode MatFactorSymbolic_MUMPS_ReportIfError(Mat F,Mat A,const MatFactorInfo *info,Mat_MUMPS *mumps)
1225 {
1226   PetscErrorCode ierr;
1227 
1228   PetscFunctionBegin;
1229   if (mumps->id.INFOG(1) < 0) {
1230     if (A->erroriffailure) {
1231       SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error reported by MUMPS in analysis phase: INFOG(1)=%d\n",mumps->id.INFOG(1));
1232     } else {
1233       if (mumps->id.INFOG(1) == -6) {
1234         ierr = PetscInfo2(F,"matrix is singular in structure, INFOG(1)=%d, INFO(2)=%d\n",mumps->id.INFOG(1),mumps->id.INFO(2));CHKERRQ(ierr);
1235         F->factorerrortype = MAT_FACTOR_STRUCT_ZEROPIVOT;
1236       } else if (mumps->id.INFOG(1) == -5 || mumps->id.INFOG(1) == -7) {
1237         ierr = PetscInfo2(F,"problem of workspace, INFOG(1)=%d, INFO(2)=%d\n",mumps->id.INFOG(1),mumps->id.INFO(2));CHKERRQ(ierr);
1238         F->factorerrortype = MAT_FACTOR_OUTMEMORY;
1239       } else {
1240         ierr = PetscInfo2(F,"Error reported by MUMPS in analysis phase: INFOG(1)=%d, INFO(2)=%d\n",mumps->id.INFOG(1),mumps->id.INFO(2));CHKERRQ(ierr);
1241         F->factorerrortype = MAT_FACTOR_OTHER;
1242       }
1243     }
1244   }
1245   PetscFunctionReturn(0);
1246 }
1247 
1248 /* Note Petsc r(=c) permutation is used when mumps->id.ICNTL(7)==1 with centralized assembled matrix input; otherwise r and c are ignored */
1249 PetscErrorCode MatLUFactorSymbolic_AIJMUMPS(Mat F,Mat A,IS r,IS c,const MatFactorInfo *info)
1250 {
1251   Mat_MUMPS      *mumps = (Mat_MUMPS*)F->data;
1252   PetscErrorCode ierr;
1253   Vec            b;
1254   IS             is_iden;
1255   const PetscInt M = A->rmap->N;
1256 
1257   PetscFunctionBegin;
1258   mumps->matstruc = DIFFERENT_NONZERO_PATTERN;
1259 
1260   /* Set MUMPS options from the options database */
1261   ierr = PetscSetMUMPSFromOptions(F,A);CHKERRQ(ierr);
1262 
1263   ierr = (*mumps->ConvertToTriples)(A, 1, MAT_INITIAL_MATRIX, &mumps->nz, &mumps->irn, &mumps->jcn, &mumps->val);CHKERRQ(ierr);
1264 
1265   /* analysis phase */
1266   /*----------------*/
1267   mumps->id.job = JOB_FACTSYMBOLIC;
1268   mumps->id.n   = M;
1269   switch (mumps->id.ICNTL(18)) {
1270   case 0:  /* centralized assembled matrix input */
1271     if (!mumps->myid) {
1272       mumps->id.nz =mumps->nz; mumps->id.irn=mumps->irn; mumps->id.jcn=mumps->jcn;
1273       if (mumps->id.ICNTL(6)>1) {
1274         mumps->id.a = (MumpsScalar*)mumps->val;
1275       }
1276       if (mumps->id.ICNTL(7) == 1) { /* use user-provide matrix ordering - assuming r = c ordering */
1277         /*
1278         PetscBool      flag;
1279         ierr = ISEqual(r,c,&flag);CHKERRQ(ierr);
1280         if (!flag) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_USER,"row_perm != col_perm");
1281         ierr = ISView(r,PETSC_VIEWER_STDOUT_SELF);
1282          */
1283         if (!mumps->myid) {
1284           const PetscInt *idx;
1285           PetscInt       i,*perm_in;
1286 
1287           ierr = PetscMalloc1(M,&perm_in);CHKERRQ(ierr);
1288           ierr = ISGetIndices(r,&idx);CHKERRQ(ierr);
1289 
1290           mumps->id.perm_in = perm_in;
1291           for (i=0; i<M; i++) perm_in[i] = idx[i]+1; /* perm_in[]: start from 1, not 0! */
1292           ierr = ISRestoreIndices(r,&idx);CHKERRQ(ierr);
1293         }
1294       }
1295     }
1296     break;
1297   case 3:  /* distributed assembled matrix input (size>1) */
1298     mumps->id.nz_loc = mumps->nz;
1299     mumps->id.irn_loc=mumps->irn; mumps->id.jcn_loc=mumps->jcn;
1300     if (mumps->id.ICNTL(6)>1) {
1301       mumps->id.a_loc = (MumpsScalar*)mumps->val;
1302     }
1303     /* MUMPS only supports centralized rhs. Create scatter scat_rhs for repeated use in MatSolve() */
1304     if (!mumps->myid) {
1305       ierr = VecCreateSeq(PETSC_COMM_SELF,A->rmap->N,&mumps->b_seq);CHKERRQ(ierr);
1306       ierr = ISCreateStride(PETSC_COMM_SELF,A->rmap->N,0,1,&is_iden);CHKERRQ(ierr);
1307     } else {
1308       ierr = VecCreateSeq(PETSC_COMM_SELF,0,&mumps->b_seq);CHKERRQ(ierr);
1309       ierr = ISCreateStride(PETSC_COMM_SELF,0,0,1,&is_iden);CHKERRQ(ierr);
1310     }
1311     ierr = MatCreateVecs(A,NULL,&b);CHKERRQ(ierr);
1312     ierr = VecScatterCreate(b,is_iden,mumps->b_seq,is_iden,&mumps->scat_rhs);CHKERRQ(ierr);
1313     ierr = ISDestroy(&is_iden);CHKERRQ(ierr);
1314     ierr = VecDestroy(&b);CHKERRQ(ierr);
1315     break;
1316   }
1317   PetscMUMPS_c(&mumps->id);
1318   ierr = MatFactorSymbolic_MUMPS_ReportIfError(F,A,info,mumps);CHKERRQ(ierr);
1319 
1320   F->ops->lufactornumeric = MatFactorNumeric_MUMPS;
1321   F->ops->solve           = MatSolve_MUMPS;
1322   F->ops->solvetranspose  = MatSolveTranspose_MUMPS;
1323   F->ops->matsolve        = MatMatSolve_MUMPS;
1324   PetscFunctionReturn(0);
1325 }
1326 
1327 /* Note the Petsc r and c permutations are ignored */
1328 PetscErrorCode MatLUFactorSymbolic_BAIJMUMPS(Mat F,Mat A,IS r,IS c,const MatFactorInfo *info)
1329 {
1330   Mat_MUMPS      *mumps = (Mat_MUMPS*)F->data;
1331   PetscErrorCode ierr;
1332   Vec            b;
1333   IS             is_iden;
1334   const PetscInt M = A->rmap->N;
1335 
1336   PetscFunctionBegin;
1337   mumps->matstruc = DIFFERENT_NONZERO_PATTERN;
1338 
1339   /* Set MUMPS options from the options database */
1340   ierr = PetscSetMUMPSFromOptions(F,A);CHKERRQ(ierr);
1341 
1342   ierr = (*mumps->ConvertToTriples)(A, 1, MAT_INITIAL_MATRIX, &mumps->nz, &mumps->irn, &mumps->jcn, &mumps->val);CHKERRQ(ierr);
1343 
1344   /* analysis phase */
1345   /*----------------*/
1346   mumps->id.job = JOB_FACTSYMBOLIC;
1347   mumps->id.n   = M;
1348   switch (mumps->id.ICNTL(18)) {
1349   case 0:  /* centralized assembled matrix input */
1350     if (!mumps->myid) {
1351       mumps->id.nz =mumps->nz; mumps->id.irn=mumps->irn; mumps->id.jcn=mumps->jcn;
1352       if (mumps->id.ICNTL(6)>1) {
1353         mumps->id.a = (MumpsScalar*)mumps->val;
1354       }
1355     }
1356     break;
1357   case 3:  /* distributed assembled matrix input (size>1) */
1358     mumps->id.nz_loc = mumps->nz;
1359     mumps->id.irn_loc=mumps->irn; mumps->id.jcn_loc=mumps->jcn;
1360     if (mumps->id.ICNTL(6)>1) {
1361       mumps->id.a_loc = (MumpsScalar*)mumps->val;
1362     }
1363     /* MUMPS only supports centralized rhs. Create scatter scat_rhs for repeated use in MatSolve() */
1364     if (!mumps->myid) {
1365       ierr = VecCreateSeq(PETSC_COMM_SELF,A->cmap->N,&mumps->b_seq);CHKERRQ(ierr);
1366       ierr = ISCreateStride(PETSC_COMM_SELF,A->cmap->N,0,1,&is_iden);CHKERRQ(ierr);
1367     } else {
1368       ierr = VecCreateSeq(PETSC_COMM_SELF,0,&mumps->b_seq);CHKERRQ(ierr);
1369       ierr = ISCreateStride(PETSC_COMM_SELF,0,0,1,&is_iden);CHKERRQ(ierr);
1370     }
1371     ierr = MatCreateVecs(A,NULL,&b);CHKERRQ(ierr);
1372     ierr = VecScatterCreate(b,is_iden,mumps->b_seq,is_iden,&mumps->scat_rhs);CHKERRQ(ierr);
1373     ierr = ISDestroy(&is_iden);CHKERRQ(ierr);
1374     ierr = VecDestroy(&b);CHKERRQ(ierr);
1375     break;
1376   }
1377   PetscMUMPS_c(&mumps->id);
1378   ierr = MatFactorSymbolic_MUMPS_ReportIfError(F,A,info,mumps);CHKERRQ(ierr);
1379 
1380   F->ops->lufactornumeric = MatFactorNumeric_MUMPS;
1381   F->ops->solve           = MatSolve_MUMPS;
1382   F->ops->solvetranspose  = MatSolveTranspose_MUMPS;
1383   PetscFunctionReturn(0);
1384 }
1385 
1386 /* Note the Petsc r permutation and factor info are ignored */
1387 PetscErrorCode MatCholeskyFactorSymbolic_MUMPS(Mat F,Mat A,IS r,const MatFactorInfo *info)
1388 {
1389   Mat_MUMPS      *mumps = (Mat_MUMPS*)F->data;
1390   PetscErrorCode ierr;
1391   Vec            b;
1392   IS             is_iden;
1393   const PetscInt M = A->rmap->N;
1394 
1395   PetscFunctionBegin;
1396   mumps->matstruc = DIFFERENT_NONZERO_PATTERN;
1397 
1398   /* Set MUMPS options from the options database */
1399   ierr = PetscSetMUMPSFromOptions(F,A);CHKERRQ(ierr);
1400 
1401   ierr = (*mumps->ConvertToTriples)(A, 1, MAT_INITIAL_MATRIX, &mumps->nz, &mumps->irn, &mumps->jcn, &mumps->val);CHKERRQ(ierr);
1402 
1403   /* analysis phase */
1404   /*----------------*/
1405   mumps->id.job = JOB_FACTSYMBOLIC;
1406   mumps->id.n   = M;
1407   switch (mumps->id.ICNTL(18)) {
1408   case 0:  /* centralized assembled matrix input */
1409     if (!mumps->myid) {
1410       mumps->id.nz =mumps->nz; mumps->id.irn=mumps->irn; mumps->id.jcn=mumps->jcn;
1411       if (mumps->id.ICNTL(6)>1) {
1412         mumps->id.a = (MumpsScalar*)mumps->val;
1413       }
1414     }
1415     break;
1416   case 3:  /* distributed assembled matrix input (size>1) */
1417     mumps->id.nz_loc = mumps->nz;
1418     mumps->id.irn_loc=mumps->irn; mumps->id.jcn_loc=mumps->jcn;
1419     if (mumps->id.ICNTL(6)>1) {
1420       mumps->id.a_loc = (MumpsScalar*)mumps->val;
1421     }
1422     /* MUMPS only supports centralized rhs. Create scatter scat_rhs for repeated use in MatSolve() */
1423     if (!mumps->myid) {
1424       ierr = VecCreateSeq(PETSC_COMM_SELF,A->cmap->N,&mumps->b_seq);CHKERRQ(ierr);
1425       ierr = ISCreateStride(PETSC_COMM_SELF,A->cmap->N,0,1,&is_iden);CHKERRQ(ierr);
1426     } else {
1427       ierr = VecCreateSeq(PETSC_COMM_SELF,0,&mumps->b_seq);CHKERRQ(ierr);
1428       ierr = ISCreateStride(PETSC_COMM_SELF,0,0,1,&is_iden);CHKERRQ(ierr);
1429     }
1430     ierr = MatCreateVecs(A,NULL,&b);CHKERRQ(ierr);
1431     ierr = VecScatterCreate(b,is_iden,mumps->b_seq,is_iden,&mumps->scat_rhs);CHKERRQ(ierr);
1432     ierr = ISDestroy(&is_iden);CHKERRQ(ierr);
1433     ierr = VecDestroy(&b);CHKERRQ(ierr);
1434     break;
1435   }
1436   PetscMUMPS_c(&mumps->id);
1437   ierr = MatFactorSymbolic_MUMPS_ReportIfError(F,A,info,mumps);CHKERRQ(ierr);
1438 
1439   F->ops->choleskyfactornumeric = MatFactorNumeric_MUMPS;
1440   F->ops->solve                 = MatSolve_MUMPS;
1441   F->ops->solvetranspose        = MatSolve_MUMPS;
1442   F->ops->matsolve              = MatMatSolve_MUMPS;
1443 #if defined(PETSC_USE_COMPLEX)
1444   F->ops->getinertia = NULL;
1445 #else
1446   F->ops->getinertia = MatGetInertia_SBAIJMUMPS;
1447 #endif
1448   PetscFunctionReturn(0);
1449 }
1450 
1451 PetscErrorCode MatView_MUMPS(Mat A,PetscViewer viewer)
1452 {
1453   PetscErrorCode    ierr;
1454   PetscBool         iascii;
1455   PetscViewerFormat format;
1456   Mat_MUMPS         *mumps=(Mat_MUMPS*)A->data;
1457 
1458   PetscFunctionBegin;
1459   /* check if matrix is mumps type */
1460   if (A->ops->solve != MatSolve_MUMPS) PetscFunctionReturn(0);
1461 
1462   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&iascii);CHKERRQ(ierr);
1463   if (iascii) {
1464     ierr = PetscViewerGetFormat(viewer,&format);CHKERRQ(ierr);
1465     if (format == PETSC_VIEWER_ASCII_INFO) {
1466       ierr = PetscViewerASCIIPrintf(viewer,"MUMPS run parameters:\n");CHKERRQ(ierr);
1467       ierr = PetscViewerASCIIPrintf(viewer,"  SYM (matrix type):                   %d \n",mumps->id.sym);CHKERRQ(ierr);
1468       ierr = PetscViewerASCIIPrintf(viewer,"  PAR (host participation):            %d \n",mumps->id.par);CHKERRQ(ierr);
1469       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(1) (output for error):         %d \n",mumps->id.ICNTL(1));CHKERRQ(ierr);
1470       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(2) (output of diagnostic msg): %d \n",mumps->id.ICNTL(2));CHKERRQ(ierr);
1471       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(3) (output for global info):   %d \n",mumps->id.ICNTL(3));CHKERRQ(ierr);
1472       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(4) (level of printing):        %d \n",mumps->id.ICNTL(4));CHKERRQ(ierr);
1473       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(5) (input mat struct):         %d \n",mumps->id.ICNTL(5));CHKERRQ(ierr);
1474       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(6) (matrix prescaling):        %d \n",mumps->id.ICNTL(6));CHKERRQ(ierr);
1475       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(7) (sequential matrix ordering):%d \n",mumps->id.ICNTL(7));CHKERRQ(ierr);
1476       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(8) (scaling strategy):        %d \n",mumps->id.ICNTL(8));CHKERRQ(ierr);
1477       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(10) (max num of refinements):  %d \n",mumps->id.ICNTL(10));CHKERRQ(ierr);
1478       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(11) (error analysis):          %d \n",mumps->id.ICNTL(11));CHKERRQ(ierr);
1479       if (mumps->id.ICNTL(11)>0) {
1480         ierr = PetscViewerASCIIPrintf(viewer,"    RINFOG(4) (inf norm of input mat):        %g\n",mumps->id.RINFOG(4));CHKERRQ(ierr);
1481         ierr = PetscViewerASCIIPrintf(viewer,"    RINFOG(5) (inf norm of solution):         %g\n",mumps->id.RINFOG(5));CHKERRQ(ierr);
1482         ierr = PetscViewerASCIIPrintf(viewer,"    RINFOG(6) (inf norm of residual):         %g\n",mumps->id.RINFOG(6));CHKERRQ(ierr);
1483         ierr = PetscViewerASCIIPrintf(viewer,"    RINFOG(7),RINFOG(8) (backward error est): %g, %g\n",mumps->id.RINFOG(7),mumps->id.RINFOG(8));CHKERRQ(ierr);
1484         ierr = PetscViewerASCIIPrintf(viewer,"    RINFOG(9) (error estimate):               %g \n",mumps->id.RINFOG(9));CHKERRQ(ierr);
1485         ierr = PetscViewerASCIIPrintf(viewer,"    RINFOG(10),RINFOG(11)(condition numbers): %g, %g\n",mumps->id.RINFOG(10),mumps->id.RINFOG(11));CHKERRQ(ierr);
1486       }
1487       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(12) (efficiency control):                         %d \n",mumps->id.ICNTL(12));CHKERRQ(ierr);
1488       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(13) (efficiency control):                         %d \n",mumps->id.ICNTL(13));CHKERRQ(ierr);
1489       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(14) (percentage of estimated workspace increase): %d \n",mumps->id.ICNTL(14));CHKERRQ(ierr);
1490       /* ICNTL(15-17) not used */
1491       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(18) (input mat struct):                           %d \n",mumps->id.ICNTL(18));CHKERRQ(ierr);
1492       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(19) (Schur complement info):                       %d \n",mumps->id.ICNTL(19));CHKERRQ(ierr);
1493       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(20) (rhs sparse pattern):                         %d \n",mumps->id.ICNTL(20));CHKERRQ(ierr);
1494       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(21) (solution struct):                            %d \n",mumps->id.ICNTL(21));CHKERRQ(ierr);
1495       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(22) (in-core/out-of-core facility):               %d \n",mumps->id.ICNTL(22));CHKERRQ(ierr);
1496       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(23) (max size of memory can be allocated locally):%d \n",mumps->id.ICNTL(23));CHKERRQ(ierr);
1497 
1498       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(24) (detection of null pivot rows):               %d \n",mumps->id.ICNTL(24));CHKERRQ(ierr);
1499       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(25) (computation of a null space basis):          %d \n",mumps->id.ICNTL(25));CHKERRQ(ierr);
1500       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(26) (Schur options for rhs or solution):          %d \n",mumps->id.ICNTL(26));CHKERRQ(ierr);
1501       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(27) (experimental parameter):                     %d \n",mumps->id.ICNTL(27));CHKERRQ(ierr);
1502       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(28) (use parallel or sequential ordering):        %d \n",mumps->id.ICNTL(28));CHKERRQ(ierr);
1503       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(29) (parallel ordering):                          %d \n",mumps->id.ICNTL(29));CHKERRQ(ierr);
1504 
1505       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(30) (user-specified set of entries in inv(A)):    %d \n",mumps->id.ICNTL(30));CHKERRQ(ierr);
1506       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(31) (factors is discarded in the solve phase):    %d \n",mumps->id.ICNTL(31));CHKERRQ(ierr);
1507       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(33) (compute determinant):                        %d \n",mumps->id.ICNTL(33));CHKERRQ(ierr);
1508 
1509       ierr = PetscViewerASCIIPrintf(viewer,"  CNTL(1) (relative pivoting threshold):      %g \n",mumps->id.CNTL(1));CHKERRQ(ierr);
1510       ierr = PetscViewerASCIIPrintf(viewer,"  CNTL(2) (stopping criterion of refinement): %g \n",mumps->id.CNTL(2));CHKERRQ(ierr);
1511       ierr = PetscViewerASCIIPrintf(viewer,"  CNTL(3) (absolute pivoting threshold):      %g \n",mumps->id.CNTL(3));CHKERRQ(ierr);
1512       ierr = PetscViewerASCIIPrintf(viewer,"  CNTL(4) (value of static pivoting):         %g \n",mumps->id.CNTL(4));CHKERRQ(ierr);
1513       ierr = PetscViewerASCIIPrintf(viewer,"  CNTL(5) (fixation for null pivots):         %g \n",mumps->id.CNTL(5));CHKERRQ(ierr);
1514 
1515       /* infomation local to each processor */
1516       ierr = PetscViewerASCIIPrintf(viewer, "  RINFO(1) (local estimated flops for the elimination after analysis): \n");CHKERRQ(ierr);
1517       ierr = PetscViewerASCIIPushSynchronized(viewer);CHKERRQ(ierr);
1518       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"    [%d] %g \n",mumps->myid,mumps->id.RINFO(1));CHKERRQ(ierr);
1519       ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
1520       ierr = PetscViewerASCIIPrintf(viewer, "  RINFO(2) (local estimated flops for the assembly after factorization): \n");CHKERRQ(ierr);
1521       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"    [%d]  %g \n",mumps->myid,mumps->id.RINFO(2));CHKERRQ(ierr);
1522       ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
1523       ierr = PetscViewerASCIIPrintf(viewer, "  RINFO(3) (local estimated flops for the elimination after factorization): \n");CHKERRQ(ierr);
1524       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"    [%d]  %g \n",mumps->myid,mumps->id.RINFO(3));CHKERRQ(ierr);
1525       ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
1526 
1527       ierr = PetscViewerASCIIPrintf(viewer, "  INFO(15) (estimated size of (in MB) MUMPS internal data for running numerical factorization): \n");CHKERRQ(ierr);
1528       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"  [%d] %d \n",mumps->myid,mumps->id.INFO(15));CHKERRQ(ierr);
1529       ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
1530 
1531       ierr = PetscViewerASCIIPrintf(viewer, "  INFO(16) (size of (in MB) MUMPS internal data used during numerical factorization): \n");CHKERRQ(ierr);
1532       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"    [%d] %d \n",mumps->myid,mumps->id.INFO(16));CHKERRQ(ierr);
1533       ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
1534 
1535       ierr = PetscViewerASCIIPrintf(viewer, "  INFO(23) (num of pivots eliminated on this processor after factorization): \n");CHKERRQ(ierr);
1536       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"    [%d] %d \n",mumps->myid,mumps->id.INFO(23));CHKERRQ(ierr);
1537       ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
1538 
1539       if (mumps->ninfo && mumps->ninfo <= 40){
1540         PetscInt i;
1541         for (i=0; i<mumps->ninfo; i++){
1542           ierr = PetscViewerASCIIPrintf(viewer, "  INFO(%d): \n",mumps->info[i]);CHKERRQ(ierr);
1543           ierr = PetscViewerASCIISynchronizedPrintf(viewer,"    [%d] %d \n",mumps->myid,mumps->id.INFO(mumps->info[i]));CHKERRQ(ierr);
1544           ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
1545         }
1546       }
1547 
1548 
1549       ierr = PetscViewerASCIIPopSynchronized(viewer);CHKERRQ(ierr);
1550 
1551       if (!mumps->myid) { /* information from the host */
1552         ierr = PetscViewerASCIIPrintf(viewer,"  RINFOG(1) (global estimated flops for the elimination after analysis): %g \n",mumps->id.RINFOG(1));CHKERRQ(ierr);
1553         ierr = PetscViewerASCIIPrintf(viewer,"  RINFOG(2) (global estimated flops for the assembly after factorization): %g \n",mumps->id.RINFOG(2));CHKERRQ(ierr);
1554         ierr = PetscViewerASCIIPrintf(viewer,"  RINFOG(3) (global estimated flops for the elimination after factorization): %g \n",mumps->id.RINFOG(3));CHKERRQ(ierr);
1555         ierr = PetscViewerASCIIPrintf(viewer,"  (RINFOG(12) RINFOG(13))*2^INFOG(34) (determinant): (%g,%g)*(2^%d)\n",mumps->id.RINFOG(12),mumps->id.RINFOG(13),mumps->id.INFOG(34));CHKERRQ(ierr);
1556 
1557         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(3) (estimated real workspace for factors on all processors after analysis): %d \n",mumps->id.INFOG(3));CHKERRQ(ierr);
1558         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(4) (estimated integer workspace for factors on all processors after analysis): %d \n",mumps->id.INFOG(4));CHKERRQ(ierr);
1559         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(5) (estimated maximum front size in the complete tree): %d \n",mumps->id.INFOG(5));CHKERRQ(ierr);
1560         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(6) (number of nodes in the complete tree): %d \n",mumps->id.INFOG(6));CHKERRQ(ierr);
1561         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(7) (ordering option effectively use after analysis): %d \n",mumps->id.INFOG(7));CHKERRQ(ierr);
1562         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(8) (structural symmetry in percent of the permuted matrix after analysis): %d \n",mumps->id.INFOG(8));CHKERRQ(ierr);
1563         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(9) (total real/complex workspace to store the matrix factors after factorization): %d \n",mumps->id.INFOG(9));CHKERRQ(ierr);
1564         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(10) (total integer space store the matrix factors after factorization): %d \n",mumps->id.INFOG(10));CHKERRQ(ierr);
1565         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(11) (order of largest frontal matrix after factorization): %d \n",mumps->id.INFOG(11));CHKERRQ(ierr);
1566         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(12) (number of off-diagonal pivots): %d \n",mumps->id.INFOG(12));CHKERRQ(ierr);
1567         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(13) (number of delayed pivots after factorization): %d \n",mumps->id.INFOG(13));CHKERRQ(ierr);
1568         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(14) (number of memory compress after factorization): %d \n",mumps->id.INFOG(14));CHKERRQ(ierr);
1569         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(15) (number of steps of iterative refinement after solution): %d \n",mumps->id.INFOG(15));CHKERRQ(ierr);
1570         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",mumps->id.INFOG(16));CHKERRQ(ierr);
1571         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(17) (estimated size of all MUMPS internal data for factorization after analysis: sum over all processors): %d \n",mumps->id.INFOG(17));CHKERRQ(ierr);
1572         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(18) (size of all MUMPS internal data allocated during factorization: value on the most memory consuming processor): %d \n",mumps->id.INFOG(18));CHKERRQ(ierr);
1573         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(19) (size of all MUMPS internal data allocated during factorization: sum over all processors): %d \n",mumps->id.INFOG(19));CHKERRQ(ierr);
1574         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(20) (estimated number of entries in the factors): %d \n",mumps->id.INFOG(20));CHKERRQ(ierr);
1575         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(21) (size in MB of memory effectively used during factorization - value on the most memory consuming processor): %d \n",mumps->id.INFOG(21));CHKERRQ(ierr);
1576         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(22) (size in MB of memory effectively used during factorization - sum over all processors): %d \n",mumps->id.INFOG(22));CHKERRQ(ierr);
1577         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(23) (after analysis: value of ICNTL(6) effectively used): %d \n",mumps->id.INFOG(23));CHKERRQ(ierr);
1578         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(24) (after analysis: value of ICNTL(12) effectively used): %d \n",mumps->id.INFOG(24));CHKERRQ(ierr);
1579         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(25) (after factorization: number of pivots modified by static pivoting): %d \n",mumps->id.INFOG(25));CHKERRQ(ierr);
1580         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(28) (after factorization: number of null pivots encountered): %d\n",mumps->id.INFOG(28));CHKERRQ(ierr);
1581         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(29) (after factorization: effective number of entries in the factors (sum over all processors)): %d\n",mumps->id.INFOG(29));CHKERRQ(ierr);
1582         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(30, 31) (after solution: size in Mbytes of memory used during solution phase): %d, %d\n",mumps->id.INFOG(30),mumps->id.INFOG(31));CHKERRQ(ierr);
1583         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(32) (after analysis: type of analysis done): %d\n",mumps->id.INFOG(32));CHKERRQ(ierr);
1584         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(33) (value used for ICNTL(8)): %d\n",mumps->id.INFOG(33));CHKERRQ(ierr);
1585         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(34) (exponent of the determinant if determinant is requested): %d\n",mumps->id.INFOG(34));CHKERRQ(ierr);
1586       }
1587     }
1588   }
1589   PetscFunctionReturn(0);
1590 }
1591 
1592 PetscErrorCode MatGetInfo_MUMPS(Mat A,MatInfoType flag,MatInfo *info)
1593 {
1594   Mat_MUMPS *mumps =(Mat_MUMPS*)A->data;
1595 
1596   PetscFunctionBegin;
1597   info->block_size        = 1.0;
1598   info->nz_allocated      = mumps->id.INFOG(20);
1599   info->nz_used           = mumps->id.INFOG(20);
1600   info->nz_unneeded       = 0.0;
1601   info->assemblies        = 0.0;
1602   info->mallocs           = 0.0;
1603   info->memory            = 0.0;
1604   info->fill_ratio_given  = 0;
1605   info->fill_ratio_needed = 0;
1606   info->factor_mallocs    = 0;
1607   PetscFunctionReturn(0);
1608 }
1609 
1610 /* -------------------------------------------------------------------------------------------*/
1611 PetscErrorCode MatFactorSetSchurIS_MUMPS(Mat F, IS is)
1612 {
1613   Mat_MUMPS      *mumps =(Mat_MUMPS*)F->data;
1614   const PetscInt *idxs;
1615   PetscInt       size,i;
1616   PetscErrorCode ierr;
1617 
1618   PetscFunctionBegin;
1619   ierr = ISGetLocalSize(is,&size);CHKERRQ(ierr);
1620   if (mumps->size > 1) {
1621     PetscBool ls,gs;
1622 
1623     ls   = mumps->myid ? (size ? PETSC_FALSE : PETSC_TRUE) : PETSC_TRUE;
1624     ierr = MPI_Allreduce(&ls,&gs,1,MPIU_BOOL,MPI_LAND,mumps->comm_mumps);CHKERRQ(ierr);
1625     if (!gs) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"MUMPS distributed parallel Schur complements not yet supported from PETSc\n");
1626   }
1627   if (mumps->id.size_schur != size) {
1628     ierr = PetscFree2(mumps->id.listvar_schur,mumps->id.schur);CHKERRQ(ierr);
1629     mumps->id.size_schur = size;
1630     mumps->id.schur_lld  = size;
1631     ierr = PetscMalloc2(size,&mumps->id.listvar_schur,size*size,&mumps->id.schur);CHKERRQ(ierr);
1632   }
1633 
1634   /* Schur complement matrix */
1635   ierr = MatCreateSeqDense(PETSC_COMM_SELF,mumps->id.size_schur,mumps->id.size_schur,(PetscScalar*)mumps->id.schur,&F->schur);CHKERRQ(ierr);
1636   if (mumps->sym == 1) {
1637     ierr = MatSetOption(F->schur,MAT_SPD,PETSC_TRUE);CHKERRQ(ierr);
1638   }
1639 
1640   /* MUMPS expects Fortran style indices */
1641   ierr = ISGetIndices(is,&idxs);CHKERRQ(ierr);
1642   ierr = PetscMemcpy(mumps->id.listvar_schur,idxs,size*sizeof(PetscInt));CHKERRQ(ierr);
1643   for (i=0;i<size;i++) mumps->id.listvar_schur[i]++;
1644   ierr = ISRestoreIndices(is,&idxs);CHKERRQ(ierr);
1645   if (mumps->size > 1) {
1646     mumps->id.ICNTL(19) = 1; /* MUMPS returns Schur centralized on the host */
1647   } else {
1648     if (F->factortype == MAT_FACTOR_LU) {
1649       mumps->id.ICNTL(19) = 3; /* MUMPS returns full matrix */
1650     } else {
1651       mumps->id.ICNTL(19) = 2; /* MUMPS returns lower triangular part */
1652     }
1653   }
1654   /* set a special value of ICNTL (not handled my MUMPS) to be used in the solve phase by PETSc */
1655   mumps->id.ICNTL(26) = -1;
1656   PetscFunctionReturn(0);
1657 }
1658 
1659 /* -------------------------------------------------------------------------------------------*/
1660 PetscErrorCode MatFactorCreateSchurComplement_MUMPS(Mat F,Mat* S)
1661 {
1662   Mat            St;
1663   Mat_MUMPS      *mumps =(Mat_MUMPS*)F->data;
1664   PetscScalar    *array;
1665 #if defined(PETSC_USE_COMPLEX)
1666   PetscScalar    im = PetscSqrtScalar((PetscScalar)-1.0);
1667 #endif
1668   PetscErrorCode ierr;
1669 
1670   PetscFunctionBegin;
1671   if (!mumps->id.ICNTL(19)) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur complement mode not selected! You should call MatFactorSetSchurIS to enable it");
1672   ierr = MatCreate(PETSC_COMM_SELF,&St);CHKERRQ(ierr);
1673   ierr = MatSetSizes(St,PETSC_DECIDE,PETSC_DECIDE,mumps->id.size_schur,mumps->id.size_schur);CHKERRQ(ierr);
1674   ierr = MatSetType(St,MATDENSE);CHKERRQ(ierr);
1675   ierr = MatSetUp(St);CHKERRQ(ierr);
1676   ierr = MatDenseGetArray(St,&array);CHKERRQ(ierr);
1677   if (!mumps->sym) { /* MUMPS always return a full matrix */
1678     if (mumps->id.ICNTL(19) == 1) { /* stored by rows */
1679       PetscInt i,j,N=mumps->id.size_schur;
1680       for (i=0;i<N;i++) {
1681         for (j=0;j<N;j++) {
1682 #if !defined(PETSC_USE_COMPLEX)
1683           PetscScalar val = mumps->id.schur[i*N+j];
1684 #else
1685           PetscScalar val = mumps->id.schur[i*N+j].r + im*mumps->id.schur[i*N+j].i;
1686 #endif
1687           array[j*N+i] = val;
1688         }
1689       }
1690     } else { /* stored by columns */
1691       ierr = PetscMemcpy(array,mumps->id.schur,mumps->id.size_schur*mumps->id.size_schur*sizeof(PetscScalar));CHKERRQ(ierr);
1692     }
1693   } else { /* either full or lower-triangular (not packed) */
1694     if (mumps->id.ICNTL(19) == 2) { /* lower triangular stored by columns */
1695       PetscInt i,j,N=mumps->id.size_schur;
1696       for (i=0;i<N;i++) {
1697         for (j=i;j<N;j++) {
1698 #if !defined(PETSC_USE_COMPLEX)
1699           PetscScalar val = mumps->id.schur[i*N+j];
1700 #else
1701           PetscScalar val = mumps->id.schur[i*N+j].r + im*mumps->id.schur[i*N+j].i;
1702 #endif
1703           array[i*N+j] = val;
1704           array[j*N+i] = val;
1705         }
1706       }
1707     } else if (mumps->id.ICNTL(19) == 3) { /* full matrix */
1708       ierr = PetscMemcpy(array,mumps->id.schur,mumps->id.size_schur*mumps->id.size_schur*sizeof(PetscScalar));CHKERRQ(ierr);
1709     } else { /* ICNTL(19) == 1 lower triangular stored by rows */
1710       PetscInt i,j,N=mumps->id.size_schur;
1711       for (i=0;i<N;i++) {
1712         for (j=0;j<i+1;j++) {
1713 #if !defined(PETSC_USE_COMPLEX)
1714           PetscScalar val = mumps->id.schur[i*N+j];
1715 #else
1716           PetscScalar val = mumps->id.schur[i*N+j].r + im*mumps->id.schur[i*N+j].i;
1717 #endif
1718           array[i*N+j] = val;
1719           array[j*N+i] = val;
1720         }
1721       }
1722     }
1723   }
1724   ierr = MatDenseRestoreArray(St,&array);CHKERRQ(ierr);
1725   *S   = St;
1726   PetscFunctionReturn(0);
1727 }
1728 
1729 /* -------------------------------------------------------------------------------------------*/
1730 PetscErrorCode MatMumpsSetIcntl_MUMPS(Mat F,PetscInt icntl,PetscInt ival)
1731 {
1732   Mat_MUMPS *mumps =(Mat_MUMPS*)F->data;
1733 
1734   PetscFunctionBegin;
1735   mumps->id.ICNTL(icntl) = ival;
1736   PetscFunctionReturn(0);
1737 }
1738 
1739 PetscErrorCode MatMumpsGetIcntl_MUMPS(Mat F,PetscInt icntl,PetscInt *ival)
1740 {
1741   Mat_MUMPS *mumps =(Mat_MUMPS*)F->data;
1742 
1743   PetscFunctionBegin;
1744   *ival = mumps->id.ICNTL(icntl);
1745   PetscFunctionReturn(0);
1746 }
1747 
1748 /*@
1749   MatMumpsSetIcntl - Set MUMPS parameter ICNTL()
1750 
1751    Logically Collective on Mat
1752 
1753    Input Parameters:
1754 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
1755 .  icntl - index of MUMPS parameter array ICNTL()
1756 -  ival - value of MUMPS ICNTL(icntl)
1757 
1758   Options Database:
1759 .   -mat_mumps_icntl_<icntl> <ival>
1760 
1761    Level: beginner
1762 
1763    References:
1764 .     MUMPS Users' Guide
1765 
1766 .seealso: MatGetFactor(), MatMumpsSetICntl(), MatMumpsGetIcntl(), MatMumpsSetCntl(), MatMumpsGetCntl(), MatMumpsGetInfo(), MatMumpsGetInfog(), MatMumpsGetRinfo(), MatMumpsGetRinfog()
1767  @*/
1768 PetscErrorCode MatMumpsSetIcntl(Mat F,PetscInt icntl,PetscInt ival)
1769 {
1770   PetscErrorCode ierr;
1771 
1772   PetscFunctionBegin;
1773   PetscValidType(F,1);
1774   if (!F->factortype) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ARG_WRONGSTATE,"Only for factored matrix");
1775   PetscValidLogicalCollectiveInt(F,icntl,2);
1776   PetscValidLogicalCollectiveInt(F,ival,3);
1777   ierr = PetscTryMethod(F,"MatMumpsSetIcntl_C",(Mat,PetscInt,PetscInt),(F,icntl,ival));CHKERRQ(ierr);
1778   PetscFunctionReturn(0);
1779 }
1780 
1781 /*@
1782   MatMumpsGetIcntl - Get MUMPS parameter ICNTL()
1783 
1784    Logically Collective on Mat
1785 
1786    Input Parameters:
1787 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
1788 -  icntl - index of MUMPS parameter array ICNTL()
1789 
1790   Output Parameter:
1791 .  ival - value of MUMPS ICNTL(icntl)
1792 
1793    Level: beginner
1794 
1795    References:
1796 .     MUMPS Users' Guide
1797 
1798 .seealso: MatGetFactor(), MatMumpsSetICntl(), MatMumpsGetIcntl(), MatMumpsSetCntl(), MatMumpsGetCntl(), MatMumpsGetInfo(), MatMumpsGetInfog(), MatMumpsGetRinfo(), MatMumpsGetRinfog()
1799 @*/
1800 PetscErrorCode MatMumpsGetIcntl(Mat F,PetscInt icntl,PetscInt *ival)
1801 {
1802   PetscErrorCode ierr;
1803 
1804   PetscFunctionBegin;
1805   PetscValidType(F,1);
1806   if (!F->factortype) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ARG_WRONGSTATE,"Only for factored matrix");
1807   PetscValidLogicalCollectiveInt(F,icntl,2);
1808   PetscValidIntPointer(ival,3);
1809   ierr = PetscUseMethod(F,"MatMumpsGetIcntl_C",(Mat,PetscInt,PetscInt*),(F,icntl,ival));CHKERRQ(ierr);
1810   PetscFunctionReturn(0);
1811 }
1812 
1813 /* -------------------------------------------------------------------------------------------*/
1814 PetscErrorCode MatMumpsSetCntl_MUMPS(Mat F,PetscInt icntl,PetscReal val)
1815 {
1816   Mat_MUMPS *mumps =(Mat_MUMPS*)F->data;
1817 
1818   PetscFunctionBegin;
1819   mumps->id.CNTL(icntl) = val;
1820   PetscFunctionReturn(0);
1821 }
1822 
1823 PetscErrorCode MatMumpsGetCntl_MUMPS(Mat F,PetscInt icntl,PetscReal *val)
1824 {
1825   Mat_MUMPS *mumps =(Mat_MUMPS*)F->data;
1826 
1827   PetscFunctionBegin;
1828   *val = mumps->id.CNTL(icntl);
1829   PetscFunctionReturn(0);
1830 }
1831 
1832 /*@
1833   MatMumpsSetCntl - Set MUMPS parameter CNTL()
1834 
1835    Logically Collective on Mat
1836 
1837    Input Parameters:
1838 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
1839 .  icntl - index of MUMPS parameter array CNTL()
1840 -  val - value of MUMPS CNTL(icntl)
1841 
1842   Options Database:
1843 .   -mat_mumps_cntl_<icntl> <val>
1844 
1845    Level: beginner
1846 
1847    References:
1848 .     MUMPS Users' Guide
1849 
1850 .seealso: MatGetFactor(), MatMumpsSetICntl(), MatMumpsGetIcntl(), MatMumpsSetCntl(), MatMumpsGetCntl(), MatMumpsGetInfo(), MatMumpsGetInfog(), MatMumpsGetRinfo(), MatMumpsGetRinfog()
1851 @*/
1852 PetscErrorCode MatMumpsSetCntl(Mat F,PetscInt icntl,PetscReal val)
1853 {
1854   PetscErrorCode ierr;
1855 
1856   PetscFunctionBegin;
1857   PetscValidType(F,1);
1858   if (!F->factortype) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ARG_WRONGSTATE,"Only for factored matrix");
1859   PetscValidLogicalCollectiveInt(F,icntl,2);
1860   PetscValidLogicalCollectiveReal(F,val,3);
1861   ierr = PetscTryMethod(F,"MatMumpsSetCntl_C",(Mat,PetscInt,PetscReal),(F,icntl,val));CHKERRQ(ierr);
1862   PetscFunctionReturn(0);
1863 }
1864 
1865 /*@
1866   MatMumpsGetCntl - Get MUMPS parameter CNTL()
1867 
1868    Logically Collective on Mat
1869 
1870    Input Parameters:
1871 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
1872 -  icntl - index of MUMPS parameter array CNTL()
1873 
1874   Output Parameter:
1875 .  val - value of MUMPS CNTL(icntl)
1876 
1877    Level: beginner
1878 
1879    References:
1880 .      MUMPS Users' Guide
1881 
1882 .seealso: MatGetFactor(), MatMumpsSetICntl(), MatMumpsGetIcntl(), MatMumpsSetCntl(), MatMumpsGetCntl(), MatMumpsGetInfo(), MatMumpsGetInfog(), MatMumpsGetRinfo(), MatMumpsGetRinfog()
1883 @*/
1884 PetscErrorCode MatMumpsGetCntl(Mat F,PetscInt icntl,PetscReal *val)
1885 {
1886   PetscErrorCode ierr;
1887 
1888   PetscFunctionBegin;
1889   PetscValidType(F,1);
1890   if (!F->factortype) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ARG_WRONGSTATE,"Only for factored matrix");
1891   PetscValidLogicalCollectiveInt(F,icntl,2);
1892   PetscValidRealPointer(val,3);
1893   ierr = PetscUseMethod(F,"MatMumpsGetCntl_C",(Mat,PetscInt,PetscReal*),(F,icntl,val));CHKERRQ(ierr);
1894   PetscFunctionReturn(0);
1895 }
1896 
1897 PetscErrorCode MatMumpsGetInfo_MUMPS(Mat F,PetscInt icntl,PetscInt *info)
1898 {
1899   Mat_MUMPS *mumps =(Mat_MUMPS*)F->data;
1900 
1901   PetscFunctionBegin;
1902   *info = mumps->id.INFO(icntl);
1903   PetscFunctionReturn(0);
1904 }
1905 
1906 PetscErrorCode MatMumpsGetInfog_MUMPS(Mat F,PetscInt icntl,PetscInt *infog)
1907 {
1908   Mat_MUMPS *mumps =(Mat_MUMPS*)F->data;
1909 
1910   PetscFunctionBegin;
1911   *infog = mumps->id.INFOG(icntl);
1912   PetscFunctionReturn(0);
1913 }
1914 
1915 PetscErrorCode MatMumpsGetRinfo_MUMPS(Mat F,PetscInt icntl,PetscReal *rinfo)
1916 {
1917   Mat_MUMPS *mumps =(Mat_MUMPS*)F->data;
1918 
1919   PetscFunctionBegin;
1920   *rinfo = mumps->id.RINFO(icntl);
1921   PetscFunctionReturn(0);
1922 }
1923 
1924 PetscErrorCode MatMumpsGetRinfog_MUMPS(Mat F,PetscInt icntl,PetscReal *rinfog)
1925 {
1926   Mat_MUMPS *mumps =(Mat_MUMPS*)F->data;
1927 
1928   PetscFunctionBegin;
1929   *rinfog = mumps->id.RINFOG(icntl);
1930   PetscFunctionReturn(0);
1931 }
1932 
1933 /*@
1934   MatMumpsGetInfo - Get MUMPS parameter INFO()
1935 
1936    Logically Collective on Mat
1937 
1938    Input Parameters:
1939 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
1940 -  icntl - index of MUMPS parameter array INFO()
1941 
1942   Output Parameter:
1943 .  ival - value of MUMPS INFO(icntl)
1944 
1945    Level: beginner
1946 
1947    References:
1948 .      MUMPS Users' Guide
1949 
1950 .seealso: MatGetFactor(), MatMumpsSetICntl(), MatMumpsGetIcntl(), MatMumpsSetCntl(), MatMumpsGetCntl(), MatMumpsGetInfo(), MatMumpsGetInfog(), MatMumpsGetRinfo(), MatMumpsGetRinfog()
1951 @*/
1952 PetscErrorCode MatMumpsGetInfo(Mat F,PetscInt icntl,PetscInt *ival)
1953 {
1954   PetscErrorCode ierr;
1955 
1956   PetscFunctionBegin;
1957   PetscValidType(F,1);
1958   if (!F->factortype) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ARG_WRONGSTATE,"Only for factored matrix");
1959   PetscValidIntPointer(ival,3);
1960   ierr = PetscUseMethod(F,"MatMumpsGetInfo_C",(Mat,PetscInt,PetscInt*),(F,icntl,ival));CHKERRQ(ierr);
1961   PetscFunctionReturn(0);
1962 }
1963 
1964 /*@
1965   MatMumpsGetInfog - Get MUMPS parameter INFOG()
1966 
1967    Logically Collective on Mat
1968 
1969    Input Parameters:
1970 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
1971 -  icntl - index of MUMPS parameter array INFOG()
1972 
1973   Output Parameter:
1974 .  ival - value of MUMPS INFOG(icntl)
1975 
1976    Level: beginner
1977 
1978    References:
1979 .      MUMPS Users' Guide
1980 
1981 .seealso: MatGetFactor(), MatMumpsSetICntl(), MatMumpsGetIcntl(), MatMumpsSetCntl(), MatMumpsGetCntl(), MatMumpsGetInfo(), MatMumpsGetInfog(), MatMumpsGetRinfo(), MatMumpsGetRinfog()
1982 @*/
1983 PetscErrorCode MatMumpsGetInfog(Mat F,PetscInt icntl,PetscInt *ival)
1984 {
1985   PetscErrorCode ierr;
1986 
1987   PetscFunctionBegin;
1988   PetscValidType(F,1);
1989   if (!F->factortype) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ARG_WRONGSTATE,"Only for factored matrix");
1990   PetscValidIntPointer(ival,3);
1991   ierr = PetscUseMethod(F,"MatMumpsGetInfog_C",(Mat,PetscInt,PetscInt*),(F,icntl,ival));CHKERRQ(ierr);
1992   PetscFunctionReturn(0);
1993 }
1994 
1995 /*@
1996   MatMumpsGetRinfo - Get MUMPS parameter RINFO()
1997 
1998    Logically Collective on Mat
1999 
2000    Input Parameters:
2001 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
2002 -  icntl - index of MUMPS parameter array RINFO()
2003 
2004   Output Parameter:
2005 .  val - value of MUMPS RINFO(icntl)
2006 
2007    Level: beginner
2008 
2009    References:
2010 .       MUMPS Users' Guide
2011 
2012 .seealso: MatGetFactor(), MatMumpsSetICntl(), MatMumpsGetIcntl(), MatMumpsSetCntl(), MatMumpsGetCntl(), MatMumpsGetInfo(), MatMumpsGetInfog(), MatMumpsGetRinfo(), MatMumpsGetRinfog()
2013 @*/
2014 PetscErrorCode MatMumpsGetRinfo(Mat F,PetscInt icntl,PetscReal *val)
2015 {
2016   PetscErrorCode ierr;
2017 
2018   PetscFunctionBegin;
2019   PetscValidType(F,1);
2020   if (!F->factortype) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ARG_WRONGSTATE,"Only for factored matrix");
2021   PetscValidRealPointer(val,3);
2022   ierr = PetscUseMethod(F,"MatMumpsGetRinfo_C",(Mat,PetscInt,PetscReal*),(F,icntl,val));CHKERRQ(ierr);
2023   PetscFunctionReturn(0);
2024 }
2025 
2026 /*@
2027   MatMumpsGetRinfog - Get MUMPS parameter RINFOG()
2028 
2029    Logically Collective on Mat
2030 
2031    Input Parameters:
2032 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
2033 -  icntl - index of MUMPS parameter array RINFOG()
2034 
2035   Output Parameter:
2036 .  val - value of MUMPS RINFOG(icntl)
2037 
2038    Level: beginner
2039 
2040    References:
2041 .      MUMPS Users' Guide
2042 
2043 .seealso: MatGetFactor(), MatMumpsSetICntl(), MatMumpsGetIcntl(), MatMumpsSetCntl(), MatMumpsGetCntl(), MatMumpsGetInfo(), MatMumpsGetInfog(), MatMumpsGetRinfo(), MatMumpsGetRinfog()
2044 @*/
2045 PetscErrorCode MatMumpsGetRinfog(Mat F,PetscInt icntl,PetscReal *val)
2046 {
2047   PetscErrorCode ierr;
2048 
2049   PetscFunctionBegin;
2050   PetscValidType(F,1);
2051   if (!F->factortype) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ARG_WRONGSTATE,"Only for factored matrix");
2052   PetscValidRealPointer(val,3);
2053   ierr = PetscUseMethod(F,"MatMumpsGetRinfog_C",(Mat,PetscInt,PetscReal*),(F,icntl,val));CHKERRQ(ierr);
2054   PetscFunctionReturn(0);
2055 }
2056 
2057 /*MC
2058   MATSOLVERMUMPS -  A matrix type providing direct solvers (LU and Cholesky) for
2059   distributed and sequential matrices via the external package MUMPS.
2060 
2061   Works with MATAIJ and MATSBAIJ matrices
2062 
2063   Use ./configure --download-mumps --download-scalapack --download-parmetis --download-metis --download-ptscotch  to have PETSc installed with MUMPS
2064 
2065   Use -pc_type cholesky or lu -pc_factor_mat_solver_package mumps to us this direct solver
2066 
2067   Options Database Keys:
2068 +  -mat_mumps_icntl_1 - ICNTL(1): output stream for error messages
2069 .  -mat_mumps_icntl_2 - ICNTL(2): output stream for diagnostic printing, statistics, and warning
2070 .  -mat_mumps_icntl_3 -  ICNTL(3): output stream for global information, collected on the host
2071 .  -mat_mumps_icntl_4 -  ICNTL(4): level of printing (0 to 4)
2072 .  -mat_mumps_icntl_6 - ICNTL(6): permutes to a zero-free diagonal and/or scale the matrix (0 to 7)
2073 .  -mat_mumps_icntl_7 - ICNTL(7): computes a symmetric permutation in sequential analysis (0 to 7). 3=Scotch, 4=PORD, 5=Metis
2074 .  -mat_mumps_icntl_8  - ICNTL(8): scaling strategy (-2 to 8 or 77)
2075 .  -mat_mumps_icntl_10  - ICNTL(10): max num of refinements
2076 .  -mat_mumps_icntl_11  - ICNTL(11): statistics related to an error analysis (via -ksp_view)
2077 .  -mat_mumps_icntl_12  - ICNTL(12): an ordering strategy for symmetric matrices (0 to 3)
2078 .  -mat_mumps_icntl_13  - ICNTL(13): parallelism of the root node (enable ScaLAPACK) and its splitting
2079 .  -mat_mumps_icntl_14  - ICNTL(14): percentage increase in the estimated working space
2080 .  -mat_mumps_icntl_19  - ICNTL(19): computes the Schur complement
2081 .  -mat_mumps_icntl_22  - ICNTL(22): in-core/out-of-core factorization and solve (0 or 1)
2082 .  -mat_mumps_icntl_23  - ICNTL(23): max size of the working memory (MB) that can allocate per processor
2083 .  -mat_mumps_icntl_24  - ICNTL(24): detection of null pivot rows (0 or 1)
2084 .  -mat_mumps_icntl_25  - ICNTL(25): compute a solution of a deficient matrix and a null space basis
2085 .  -mat_mumps_icntl_26  - ICNTL(26): drives the solution phase if a Schur complement matrix
2086 .  -mat_mumps_icntl_28  - ICNTL(28): use 1 for sequential analysis and ictnl(7) ordering, or 2 for parallel analysis and ictnl(29) ordering
2087 .  -mat_mumps_icntl_29 - ICNTL(29): parallel ordering 1 = ptscotch, 2 = parmetis
2088 .  -mat_mumps_icntl_30 - ICNTL(30): compute user-specified set of entries in inv(A)
2089 .  -mat_mumps_icntl_31 - ICNTL(31): indicates which factors may be discarded during factorization
2090 .  -mat_mumps_icntl_33 - ICNTL(33): compute determinant
2091 .  -mat_mumps_cntl_1  - CNTL(1): relative pivoting threshold
2092 .  -mat_mumps_cntl_2  -  CNTL(2): stopping criterion of refinement
2093 .  -mat_mumps_cntl_3 - CNTL(3): absolute pivoting threshold
2094 .  -mat_mumps_cntl_4 - CNTL(4): value for static pivoting
2095 -  -mat_mumps_cntl_5 - CNTL(5): fixation for null pivots
2096 
2097   Level: beginner
2098 
2099     Notes: When a MUMPS factorization fails inside a KSP solve, for example with a KSP_DIVERGED_PCSETUP_FAILED, one can find the MUMPS information about the failure by calling
2100 $          KSPGetPC(ksp,&pc);
2101 $          PCFactorGetMatrix(pc,&mat);
2102 $          MatMumpsGetInfo(mat,....);
2103 $          MatMumpsGetInfog(mat,....); etc.
2104            Or you can run with -ksp_error_if_not_converged and the program will be stopped and the information printed in the error message.
2105 
2106 .seealso: PCFactorSetMatSolverPackage(), MatSolverPackage, MatMumpsSetICntl(), MatMumpsGetIcntl(), MatMumpsSetCntl(), MatMumpsGetCntl(), MatMumpsGetInfo(), MatMumpsGetInfog(), MatMumpsGetRinfo(), MatMumpsGetRinfog(), KSPGetPC(), PCGetFactor(), PCFactorGetMatrix()
2107 
2108 M*/
2109 
2110 static PetscErrorCode MatFactorGetSolverPackage_mumps(Mat A,const MatSolverPackage *type)
2111 {
2112   PetscFunctionBegin;
2113   *type = MATSOLVERMUMPS;
2114   PetscFunctionReturn(0);
2115 }
2116 
2117 /* MatGetFactor for Seq and MPI AIJ matrices */
2118 static PetscErrorCode MatGetFactor_aij_mumps(Mat A,MatFactorType ftype,Mat *F)
2119 {
2120   Mat            B;
2121   PetscErrorCode ierr;
2122   Mat_MUMPS      *mumps;
2123   PetscBool      isSeqAIJ;
2124 
2125   PetscFunctionBegin;
2126   /* Create the factorization matrix */
2127   ierr = PetscObjectTypeCompare((PetscObject)A,MATSEQAIJ,&isSeqAIJ);CHKERRQ(ierr);
2128   ierr = MatCreate(PetscObjectComm((PetscObject)A),&B);CHKERRQ(ierr);
2129   ierr = MatSetSizes(B,A->rmap->n,A->cmap->n,A->rmap->N,A->cmap->N);CHKERRQ(ierr);
2130   ierr = PetscStrallocpy("mumps",&((PetscObject)B)->type_name);CHKERRQ(ierr);
2131   ierr = MatSetUp(B);CHKERRQ(ierr);
2132 
2133   ierr = PetscNewLog(B,&mumps);CHKERRQ(ierr);
2134 
2135   B->ops->view        = MatView_MUMPS;
2136   B->ops->getinfo     = MatGetInfo_MUMPS;
2137 
2138   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorGetSolverPackage_C",MatFactorGetSolverPackage_mumps);CHKERRQ(ierr);
2139   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSetSchurIS_C",MatFactorSetSchurIS_MUMPS);CHKERRQ(ierr);
2140   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorCreateSchurComplement_C",MatFactorCreateSchurComplement_MUMPS);CHKERRQ(ierr);
2141   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsSetIcntl_C",MatMumpsSetIcntl_MUMPS);CHKERRQ(ierr);
2142   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetIcntl_C",MatMumpsGetIcntl_MUMPS);CHKERRQ(ierr);
2143   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsSetCntl_C",MatMumpsSetCntl_MUMPS);CHKERRQ(ierr);
2144   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetCntl_C",MatMumpsGetCntl_MUMPS);CHKERRQ(ierr);
2145   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetInfo_C",MatMumpsGetInfo_MUMPS);CHKERRQ(ierr);
2146   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetInfog_C",MatMumpsGetInfog_MUMPS);CHKERRQ(ierr);
2147   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetRinfo_C",MatMumpsGetRinfo_MUMPS);CHKERRQ(ierr);
2148   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetRinfog_C",MatMumpsGetRinfog_MUMPS);CHKERRQ(ierr);
2149 
2150   if (ftype == MAT_FACTOR_LU) {
2151     B->ops->lufactorsymbolic = MatLUFactorSymbolic_AIJMUMPS;
2152     B->factortype            = MAT_FACTOR_LU;
2153     if (isSeqAIJ) mumps->ConvertToTriples = MatConvertToTriples_seqaij_seqaij;
2154     else mumps->ConvertToTriples = MatConvertToTriples_mpiaij_mpiaij;
2155     mumps->sym = 0;
2156   } else {
2157     B->ops->choleskyfactorsymbolic = MatCholeskyFactorSymbolic_MUMPS;
2158     B->factortype                  = MAT_FACTOR_CHOLESKY;
2159     if (isSeqAIJ) mumps->ConvertToTriples = MatConvertToTriples_seqaij_seqsbaij;
2160     else mumps->ConvertToTriples = MatConvertToTriples_mpiaij_mpisbaij;
2161 #if defined(PETSC_USE_COMPLEX)
2162     mumps->sym = 2;
2163 #else
2164     if (A->spd_set && A->spd) mumps->sym = 1;
2165     else                      mumps->sym = 2;
2166 #endif
2167   }
2168 
2169   /* set solvertype */
2170   ierr = PetscFree(B->solvertype);CHKERRQ(ierr);
2171   ierr = PetscStrallocpy(MATSOLVERMUMPS,&B->solvertype);CHKERRQ(ierr);
2172 
2173   mumps->isAIJ    = PETSC_TRUE;
2174   B->ops->destroy = MatDestroy_MUMPS;
2175   B->data        = (void*)mumps;
2176 
2177   ierr = PetscInitializeMUMPS(A,mumps);CHKERRQ(ierr);
2178 
2179   *F = B;
2180   PetscFunctionReturn(0);
2181 }
2182 
2183 /* MatGetFactor for Seq and MPI SBAIJ matrices */
2184 static PetscErrorCode MatGetFactor_sbaij_mumps(Mat A,MatFactorType ftype,Mat *F)
2185 {
2186   Mat            B;
2187   PetscErrorCode ierr;
2188   Mat_MUMPS      *mumps;
2189   PetscBool      isSeqSBAIJ;
2190 
2191   PetscFunctionBegin;
2192   if (ftype != MAT_FACTOR_CHOLESKY) SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_SUP,"Cannot use PETSc SBAIJ matrices with MUMPS LU, use AIJ matrix");
2193   if (A->rmap->bs > 1) SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_SUP,"Cannot use PETSc SBAIJ matrices with block size > 1 with MUMPS Cholesky, use AIJ matrix instead");
2194   ierr = PetscObjectTypeCompare((PetscObject)A,MATSEQSBAIJ,&isSeqSBAIJ);CHKERRQ(ierr);
2195   /* Create the factorization matrix */
2196   ierr = MatCreate(PetscObjectComm((PetscObject)A),&B);CHKERRQ(ierr);
2197   ierr = MatSetSizes(B,A->rmap->n,A->cmap->n,A->rmap->N,A->cmap->N);CHKERRQ(ierr);
2198   ierr = PetscStrallocpy("mumps",&((PetscObject)B)->type_name);CHKERRQ(ierr);
2199   ierr = MatSetUp(B);CHKERRQ(ierr);
2200 
2201   ierr = PetscNewLog(B,&mumps);CHKERRQ(ierr);
2202   if (isSeqSBAIJ) {
2203     mumps->ConvertToTriples = MatConvertToTriples_seqsbaij_seqsbaij;
2204   } else {
2205     mumps->ConvertToTriples = MatConvertToTriples_mpisbaij_mpisbaij;
2206   }
2207 
2208   B->ops->getinfo                = MatGetInfo_External;
2209   B->ops->choleskyfactorsymbolic = MatCholeskyFactorSymbolic_MUMPS;
2210   B->ops->view                   = MatView_MUMPS;
2211 
2212   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorGetSolverPackage_C",MatFactorGetSolverPackage_mumps);CHKERRQ(ierr);
2213   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSetSchurIS_C",MatFactorSetSchurIS_MUMPS);CHKERRQ(ierr);
2214   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorCreateSchurComplement_C",MatFactorCreateSchurComplement_MUMPS);CHKERRQ(ierr);
2215   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsSetIcntl_C",MatMumpsSetIcntl_MUMPS);CHKERRQ(ierr);
2216   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetIcntl_C",MatMumpsGetIcntl_MUMPS);CHKERRQ(ierr);
2217   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsSetCntl_C",MatMumpsSetCntl_MUMPS);CHKERRQ(ierr);
2218   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetCntl_C",MatMumpsGetCntl_MUMPS);CHKERRQ(ierr);
2219   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetInfo_C",MatMumpsGetInfo_MUMPS);CHKERRQ(ierr);
2220   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetInfog_C",MatMumpsGetInfog_MUMPS);CHKERRQ(ierr);
2221   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetRinfo_C",MatMumpsGetRinfo_MUMPS);CHKERRQ(ierr);
2222   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetRinfog_C",MatMumpsGetRinfog_MUMPS);CHKERRQ(ierr);
2223 
2224   B->factortype = MAT_FACTOR_CHOLESKY;
2225 #if defined(PETSC_USE_COMPLEX)
2226   mumps->sym = 2;
2227 #else
2228   if (A->spd_set && A->spd) mumps->sym = 1;
2229   else                      mumps->sym = 2;
2230 #endif
2231 
2232   /* set solvertype */
2233   ierr = PetscFree(B->solvertype);CHKERRQ(ierr);
2234   ierr = PetscStrallocpy(MATSOLVERMUMPS,&B->solvertype);CHKERRQ(ierr);
2235 
2236   mumps->isAIJ    = PETSC_FALSE;
2237   B->ops->destroy = MatDestroy_MUMPS;
2238   B->data        = (void*)mumps;
2239 
2240   ierr = PetscInitializeMUMPS(A,mumps);CHKERRQ(ierr);
2241 
2242   *F = B;
2243   PetscFunctionReturn(0);
2244 }
2245 
2246 static PetscErrorCode MatGetFactor_baij_mumps(Mat A,MatFactorType ftype,Mat *F)
2247 {
2248   Mat            B;
2249   PetscErrorCode ierr;
2250   Mat_MUMPS      *mumps;
2251   PetscBool      isSeqBAIJ;
2252 
2253   PetscFunctionBegin;
2254   /* Create the factorization matrix */
2255   ierr = PetscObjectTypeCompare((PetscObject)A,MATSEQBAIJ,&isSeqBAIJ);CHKERRQ(ierr);
2256   ierr = MatCreate(PetscObjectComm((PetscObject)A),&B);CHKERRQ(ierr);
2257   ierr = MatSetSizes(B,A->rmap->n,A->cmap->n,A->rmap->N,A->cmap->N);CHKERRQ(ierr);
2258   ierr = PetscStrallocpy("mumps",&((PetscObject)B)->type_name);CHKERRQ(ierr);
2259   ierr = MatSetUp(B);CHKERRQ(ierr);
2260 
2261   ierr = PetscNewLog(B,&mumps);CHKERRQ(ierr);
2262   if (ftype == MAT_FACTOR_LU) {
2263     B->ops->lufactorsymbolic = MatLUFactorSymbolic_BAIJMUMPS;
2264     B->factortype            = MAT_FACTOR_LU;
2265     if (isSeqBAIJ) mumps->ConvertToTriples = MatConvertToTriples_seqbaij_seqaij;
2266     else mumps->ConvertToTriples = MatConvertToTriples_mpibaij_mpiaij;
2267     mumps->sym = 0;
2268   } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Cannot use PETSc BAIJ matrices with MUMPS Cholesky, use SBAIJ or AIJ matrix instead\n");
2269 
2270   B->ops->getinfo     = MatGetInfo_External;
2271   B->ops->view        = MatView_MUMPS;
2272 
2273   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorGetSolverPackage_C",MatFactorGetSolverPackage_mumps);CHKERRQ(ierr);
2274   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSetSchurIS_C",MatFactorSetSchurIS_MUMPS);CHKERRQ(ierr);
2275   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorCreateSchurComplement_C",MatFactorCreateSchurComplement_MUMPS);CHKERRQ(ierr);
2276   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsSetIcntl_C",MatMumpsSetIcntl_MUMPS);CHKERRQ(ierr);
2277   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetIcntl_C",MatMumpsGetIcntl_MUMPS);CHKERRQ(ierr);
2278   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsSetCntl_C",MatMumpsSetCntl_MUMPS);CHKERRQ(ierr);
2279   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetCntl_C",MatMumpsGetCntl_MUMPS);CHKERRQ(ierr);
2280   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetInfo_C",MatMumpsGetInfo_MUMPS);CHKERRQ(ierr);
2281   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetInfog_C",MatMumpsGetInfog_MUMPS);CHKERRQ(ierr);
2282   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetRinfo_C",MatMumpsGetRinfo_MUMPS);CHKERRQ(ierr);
2283   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetRinfog_C",MatMumpsGetRinfog_MUMPS);CHKERRQ(ierr);
2284 
2285   /* set solvertype */
2286   ierr = PetscFree(B->solvertype);CHKERRQ(ierr);
2287   ierr = PetscStrallocpy(MATSOLVERMUMPS,&B->solvertype);CHKERRQ(ierr);
2288 
2289   mumps->isAIJ    = PETSC_TRUE;
2290   B->ops->destroy = MatDestroy_MUMPS;
2291   B->data        = (void*)mumps;
2292 
2293   ierr = PetscInitializeMUMPS(A,mumps);CHKERRQ(ierr);
2294 
2295   *F = B;
2296   PetscFunctionReturn(0);
2297 }
2298 
2299 PETSC_EXTERN PetscErrorCode MatSolverPackageRegister_MUMPS(void)
2300 {
2301   PetscErrorCode ierr;
2302 
2303   PetscFunctionBegin;
2304   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATMPIAIJ,MAT_FACTOR_LU,MatGetFactor_aij_mumps);CHKERRQ(ierr);
2305   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATMPIAIJ,MAT_FACTOR_CHOLESKY,MatGetFactor_aij_mumps);CHKERRQ(ierr);
2306   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATMPIBAIJ,MAT_FACTOR_LU,MatGetFactor_baij_mumps);CHKERRQ(ierr);
2307   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATMPIBAIJ,MAT_FACTOR_CHOLESKY,MatGetFactor_baij_mumps);CHKERRQ(ierr);
2308   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATMPISBAIJ,MAT_FACTOR_CHOLESKY,MatGetFactor_sbaij_mumps);CHKERRQ(ierr);
2309   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATSEQAIJ,MAT_FACTOR_LU,MatGetFactor_aij_mumps);CHKERRQ(ierr);
2310   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATSEQAIJ,MAT_FACTOR_CHOLESKY,MatGetFactor_aij_mumps);CHKERRQ(ierr);
2311   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATSEQBAIJ,MAT_FACTOR_LU,MatGetFactor_baij_mumps);CHKERRQ(ierr);
2312   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATSEQBAIJ,MAT_FACTOR_CHOLESKY,MatGetFactor_baij_mumps);CHKERRQ(ierr);
2313   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATSEQSBAIJ,MAT_FACTOR_CHOLESKY,MatGetFactor_sbaij_mumps);CHKERRQ(ierr);
2314   PetscFunctionReturn(0);
2315 }
2316 
2317