xref: /petsc/src/mat/impls/aij/mpi/mumps/mumps.c (revision f08590b7aef8a9dccd8458181714643d66cc10cc)
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 #include <../src/mat/impls/sell/mpi/mpisell.h>
9 
10 EXTERN_C_BEGIN
11 #if defined(PETSC_USE_COMPLEX)
12 #if defined(PETSC_USE_REAL_SINGLE)
13 #include <cmumps_c.h>
14 #else
15 #include <zmumps_c.h>
16 #endif
17 #else
18 #if defined(PETSC_USE_REAL_SINGLE)
19 #include <smumps_c.h>
20 #else
21 #include <dmumps_c.h>
22 #endif
23 #endif
24 EXTERN_C_END
25 #define JOB_INIT -1
26 #define JOB_FACTSYMBOLIC 1
27 #define JOB_FACTNUMERIC 2
28 #define JOB_SOLVE 3
29 #define JOB_END -2
30 
31 /* calls to MUMPS */
32 #if defined(PETSC_USE_COMPLEX)
33 #if defined(PETSC_USE_REAL_SINGLE)
34 #define MUMPS_c cmumps_c
35 #else
36 #define MUMPS_c zmumps_c
37 #endif
38 #else
39 #if defined(PETSC_USE_REAL_SINGLE)
40 #define MUMPS_c smumps_c
41 #else
42 #define MUMPS_c dmumps_c
43 #endif
44 #endif
45 
46 #if defined(PETSC_HAVE_OPENMP) && defined(PETSC_HAVE_PTHREAD) && (defined(PETSC_HAVE_MPI_PROCESS_SHARED_MEMORY) || defined(PETSC_HAVE_MMAP)) && defined(PETSC_HAVE_HWLOC)
47 #define PETSC_HAVE_OPENMP_SUPPORT 1
48 #endif
49 
50 #if defined(PETSC_HAVE_OPENMP_SUPPORT)
51 #define PetscMUMPS_c(mumps) \
52   do { \
53     if (mumps->use_petsc_omp_support) { \
54       if (mumps->is_omp_master) { \
55         ierr = PetscOmpCtrlOmpRegionOnMasterBegin(mumps->omp_ctrl);CHKERRQ(ierr); \
56         MUMPS_c(&mumps->id); \
57         ierr = PetscOmpCtrlOmpRegionOnMasterEnd(mumps->omp_ctrl);CHKERRQ(ierr); \
58       } \
59       ierr = PetscOmpCtrlBarrier(mumps->omp_ctrl);CHKERRQ(ierr); \
60     } else { \
61       MUMPS_c(&mumps->id); \
62     } \
63   } while(0)
64 #else
65 #define PetscMUMPS_c(mumps) \
66   do { MUMPS_c(&mumps->id); } while (0)
67 #endif
68 
69 /* declare MumpsScalar */
70 #if defined(PETSC_USE_COMPLEX)
71 #if defined(PETSC_USE_REAL_SINGLE)
72 #define MumpsScalar mumps_complex
73 #else
74 #define MumpsScalar mumps_double_complex
75 #endif
76 #else
77 #define MumpsScalar PetscScalar
78 #endif
79 
80 /* macros s.t. indices match MUMPS documentation */
81 #define ICNTL(I) icntl[(I)-1]
82 #define CNTL(I) cntl[(I)-1]
83 #define INFOG(I) infog[(I)-1]
84 #define INFO(I) info[(I)-1]
85 #define RINFOG(I) rinfog[(I)-1]
86 #define RINFO(I) rinfo[(I)-1]
87 
88 typedef struct {
89 #if defined(PETSC_USE_COMPLEX)
90 #if defined(PETSC_USE_REAL_SINGLE)
91   CMUMPS_STRUC_C id;
92 #else
93   ZMUMPS_STRUC_C id;
94 #endif
95 #else
96 #if defined(PETSC_USE_REAL_SINGLE)
97   SMUMPS_STRUC_C id;
98 #else
99   DMUMPS_STRUC_C id;
100 #endif
101 #endif
102 
103   MatStructure matstruc;
104   PetscMPIInt  myid,petsc_size;
105   PetscInt     *irn,*jcn,nz,sym;
106   PetscScalar  *val;
107   MPI_Comm     mumps_comm;
108   PetscInt     ICNTL9_pre;           /* check if ICNTL(9) is changed from previous MatSolve */
109   VecScatter   scat_rhs, scat_sol;   /* used by MatSolve() */
110   Vec          b_seq,x_seq;
111   PetscInt     ninfo,*info;          /* display INFO */
112   PetscInt     sizeredrhs;
113   PetscScalar  *schur_sol;
114   PetscInt     schur_sizesol;
115 
116   PetscBool    use_petsc_omp_support;
117   PetscOmpCtrl omp_ctrl;             /* an OpenMP controler that blocked processes will release their CPU (MPI_Barrier does not have this guarantee) */
118   MPI_Comm     petsc_comm,omp_comm;  /* petsc_comm is petsc matrix's comm */
119   PetscMPIInt  mpinz;                /* on master rank, nz = sum(mpinz) over omp_comm; on other ranks, mpinz = nz*/
120   PetscMPIInt  omp_comm_size;
121   PetscBool    is_omp_master;        /* is this rank the master of omp_comm */
122   PetscMPIInt  *recvcount,*displs;
123 
124   PetscErrorCode (*ConvertToTriples)(Mat, int, MatReuse, int*, int**, int**, PetscScalar**);
125 } Mat_MUMPS;
126 
127 extern PetscErrorCode MatDuplicate_MUMPS(Mat,MatDuplicateOption,Mat*);
128 
129 static PetscErrorCode MatMumpsResetSchur_Private(Mat_MUMPS* mumps)
130 {
131   PetscErrorCode ierr;
132 
133   PetscFunctionBegin;
134   ierr = PetscFree2(mumps->id.listvar_schur,mumps->id.schur);CHKERRQ(ierr);
135   ierr = PetscFree(mumps->id.redrhs);CHKERRQ(ierr);
136   ierr = PetscFree(mumps->schur_sol);CHKERRQ(ierr);
137   mumps->id.size_schur = 0;
138   mumps->id.schur_lld  = 0;
139   mumps->id.ICNTL(19)  = 0;
140   PetscFunctionReturn(0);
141 }
142 
143 /* solve with rhs in mumps->id.redrhs and return in the same location */
144 static PetscErrorCode MatMumpsSolveSchur_Private(Mat F)
145 {
146   Mat_MUMPS            *mumps=(Mat_MUMPS*)F->data;
147   Mat                  S,B,X;
148   MatFactorSchurStatus schurstatus;
149   PetscInt             sizesol;
150   PetscErrorCode       ierr;
151 
152   PetscFunctionBegin;
153   ierr = MatFactorFactorizeSchurComplement(F);CHKERRQ(ierr);
154   ierr = MatFactorGetSchurComplement(F,&S,&schurstatus);CHKERRQ(ierr);
155   ierr = MatCreateSeqDense(PETSC_COMM_SELF,mumps->id.size_schur,mumps->id.nrhs,(PetscScalar*)mumps->id.redrhs,&B);CHKERRQ(ierr);
156   switch (schurstatus) {
157   case MAT_FACTOR_SCHUR_FACTORED:
158     ierr = MatCreateSeqDense(PETSC_COMM_SELF,mumps->id.size_schur,mumps->id.nrhs,(PetscScalar*)mumps->id.redrhs,&X);CHKERRQ(ierr);
159     if (!mumps->id.ICNTL(9)) { /* transpose solve */
160       ierr = MatMatSolveTranspose(S,B,X);CHKERRQ(ierr);
161     } else {
162       ierr = MatMatSolve(S,B,X);CHKERRQ(ierr);
163     }
164     break;
165   case MAT_FACTOR_SCHUR_INVERTED:
166     sizesol = mumps->id.nrhs*mumps->id.size_schur;
167     if (!mumps->schur_sol || sizesol > mumps->schur_sizesol) {
168       ierr = PetscFree(mumps->schur_sol);CHKERRQ(ierr);
169       ierr = PetscMalloc1(sizesol,&mumps->schur_sol);CHKERRQ(ierr);
170       mumps->schur_sizesol = sizesol;
171     }
172     ierr = MatCreateSeqDense(PETSC_COMM_SELF,mumps->id.size_schur,mumps->id.nrhs,mumps->schur_sol,&X);CHKERRQ(ierr);
173     if (!mumps->id.ICNTL(9)) { /* transpose solve */
174       ierr = MatTransposeMatMult(S,B,MAT_REUSE_MATRIX,PETSC_DEFAULT,&X);CHKERRQ(ierr);
175     } else {
176       ierr = MatMatMult(S,B,MAT_REUSE_MATRIX,PETSC_DEFAULT,&X);CHKERRQ(ierr);
177     }
178     ierr = MatCopy(X,B,SAME_NONZERO_PATTERN);CHKERRQ(ierr);
179     break;
180   default:
181     SETERRQ1(PetscObjectComm((PetscObject)F),PETSC_ERR_SUP,"Unhandled MatFactorSchurStatus %D",F->schur_status);
182     break;
183   }
184   ierr = MatFactorRestoreSchurComplement(F,&S,schurstatus);CHKERRQ(ierr);
185   ierr = MatDestroy(&B);CHKERRQ(ierr);
186   ierr = MatDestroy(&X);CHKERRQ(ierr);
187   PetscFunctionReturn(0);
188 }
189 
190 static PetscErrorCode MatMumpsHandleSchur_Private(Mat F, PetscBool expansion)
191 {
192   Mat_MUMPS     *mumps=(Mat_MUMPS*)F->data;
193   PetscErrorCode ierr;
194 
195   PetscFunctionBegin;
196   if (!mumps->id.ICNTL(19)) { /* do nothing when Schur complement has not been computed */
197     PetscFunctionReturn(0);
198   }
199   if (!expansion) { /* prepare for the condensation step */
200     PetscInt sizeredrhs = mumps->id.nrhs*mumps->id.size_schur;
201     /* allocate MUMPS internal array to store reduced right-hand sides */
202     if (!mumps->id.redrhs || sizeredrhs > mumps->sizeredrhs) {
203       ierr = PetscFree(mumps->id.redrhs);CHKERRQ(ierr);
204       mumps->id.lredrhs = mumps->id.size_schur;
205       ierr = PetscMalloc1(mumps->id.nrhs*mumps->id.lredrhs,&mumps->id.redrhs);CHKERRQ(ierr);
206       mumps->sizeredrhs = mumps->id.nrhs*mumps->id.lredrhs;
207     }
208     mumps->id.ICNTL(26) = 1; /* condensation phase */
209   } else { /* prepare for the expansion step */
210     /* solve Schur complement (this has to be done by the MUMPS user, so basically us) */
211     ierr = MatMumpsSolveSchur_Private(F);CHKERRQ(ierr);
212     mumps->id.ICNTL(26) = 2; /* expansion phase */
213     PetscMUMPS_c(mumps);
214     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));
215     /* restore defaults */
216     mumps->id.ICNTL(26) = -1;
217     /* free MUMPS internal array for redrhs if we have solved for multiple rhs in order to save memory space */
218     if (mumps->id.nrhs > 1) {
219       ierr = PetscFree(mumps->id.redrhs);CHKERRQ(ierr);
220       mumps->id.lredrhs = 0;
221       mumps->sizeredrhs = 0;
222     }
223   }
224   PetscFunctionReturn(0);
225 }
226 
227 /*
228   MatConvertToTriples_A_B - convert Petsc matrix to triples: row[nz], col[nz], val[nz]
229 
230   input:
231     A       - matrix in aij,baij or sbaij (bs=1) format
232     shift   - 0: C style output triple; 1: Fortran style output triple.
233     reuse   - MAT_INITIAL_MATRIX: spaces are allocated and values are set for the triple
234               MAT_REUSE_MATRIX:   only the values in v array are updated
235   output:
236     nnz     - dim of r, c, and v (number of local nonzero entries of A)
237     r, c, v - row and col index, matrix values (matrix triples)
238 
239   The returned values r, c, and sometimes v are obtained in a single PetscMalloc(). Then in MatDestroy_MUMPS() it is
240   freed with PetscFree(mumps->irn);  This is not ideal code, the fact that v is ONLY sometimes part of mumps->irn means
241   that the PetscMalloc() cannot easily be replaced with a PetscMalloc3().
242 
243  */
244 
245 PetscErrorCode MatConvertToTriples_seqaij_seqaij(Mat A,int shift,MatReuse reuse,int *nnz,int **r, int **c, PetscScalar **v)
246 {
247   const PetscInt *ai,*aj,*ajj,M=A->rmap->n;
248   PetscInt       nz,rnz,i,j;
249   PetscErrorCode ierr;
250   PetscInt       *row,*col;
251   Mat_SeqAIJ     *aa=(Mat_SeqAIJ*)A->data;
252 
253   PetscFunctionBegin;
254   *v=aa->a;
255   if (reuse == MAT_INITIAL_MATRIX) {
256     nz   = aa->nz;
257     ai   = aa->i;
258     aj   = aa->j;
259     *nnz = nz;
260     ierr = PetscMalloc1(2*nz, &row);CHKERRQ(ierr);
261     col  = row + nz;
262 
263     nz = 0;
264     for (i=0; i<M; i++) {
265       rnz = ai[i+1] - ai[i];
266       ajj = aj + ai[i];
267       for (j=0; j<rnz; j++) {
268         row[nz] = i+shift; col[nz++] = ajj[j] + shift;
269       }
270     }
271     *r = row; *c = col;
272   }
273   PetscFunctionReturn(0);
274 }
275 
276 PetscErrorCode MatConvertToTriples_seqsell_seqaij(Mat A,int shift,MatReuse reuse,int *nnz,int **r, int **c, PetscScalar **v)
277 {
278   Mat_SeqSELL *a=(Mat_SeqSELL*)A->data;
279   PetscInt    *ptr;
280 
281   PetscFunctionBegin;
282   *v = a->val;
283   if (reuse == MAT_INITIAL_MATRIX) {
284     PetscInt       nz,i,j,row;
285     PetscErrorCode ierr;
286 
287     nz   = a->sliidx[a->totalslices];
288     *nnz = nz;
289     ierr = PetscMalloc1(2*nz, &ptr);CHKERRQ(ierr);
290     *r   = ptr;
291     *c   = ptr + nz;
292 
293     for (i=0; i<a->totalslices; i++) {
294       for (j=a->sliidx[i],row=0; j<a->sliidx[i+1]; j++,row=((row+1)&0x07)) {
295         *ptr++ = 8*i + row + shift;
296       }
297     }
298     for (i=0;i<nz;i++) *ptr++ = a->colidx[i] + shift;
299   }
300   PetscFunctionReturn(0);
301 }
302 
303 PetscErrorCode MatConvertToTriples_seqbaij_seqaij(Mat A,int shift,MatReuse reuse,int *nnz,int **r, int **c, PetscScalar **v)
304 {
305   Mat_SeqBAIJ    *aa=(Mat_SeqBAIJ*)A->data;
306   const PetscInt *ai,*aj,*ajj,bs2 = aa->bs2;
307   PetscInt       bs,M,nz,idx=0,rnz,i,j,k,m;
308   PetscErrorCode ierr;
309   PetscInt       *row,*col;
310 
311   PetscFunctionBegin;
312   ierr = MatGetBlockSize(A,&bs);CHKERRQ(ierr);
313   M = A->rmap->N/bs;
314   *v = aa->a;
315   if (reuse == MAT_INITIAL_MATRIX) {
316     ai   = aa->i; aj = aa->j;
317     nz   = bs2*aa->nz;
318     *nnz = nz;
319     ierr = PetscMalloc1(2*nz, &row);CHKERRQ(ierr);
320     col  = row + nz;
321 
322     for (i=0; i<M; i++) {
323       ajj = aj + ai[i];
324       rnz = ai[i+1] - ai[i];
325       for (k=0; k<rnz; k++) {
326         for (j=0; j<bs; j++) {
327           for (m=0; m<bs; m++) {
328             row[idx]   = i*bs + m + shift;
329             col[idx++] = bs*(ajj[k]) + j + shift;
330           }
331         }
332       }
333     }
334     *r = row; *c = col;
335   }
336   PetscFunctionReturn(0);
337 }
338 
339 PetscErrorCode MatConvertToTriples_seqsbaij_seqsbaij(Mat A,int shift,MatReuse reuse,int *nnz,int **r, int **c, PetscScalar **v)
340 {
341   const PetscInt *ai, *aj,*ajj,M=A->rmap->n;
342   PetscInt       nz,rnz,i,j;
343   PetscErrorCode ierr;
344   PetscInt       *row,*col;
345   Mat_SeqSBAIJ   *aa=(Mat_SeqSBAIJ*)A->data;
346 
347   PetscFunctionBegin;
348   *v = aa->a;
349   if (reuse == MAT_INITIAL_MATRIX) {
350     nz   = aa->nz;
351     ai   = aa->i;
352     aj   = aa->j;
353     *v   = aa->a;
354     *nnz = nz;
355     ierr = PetscMalloc1(2*nz, &row);CHKERRQ(ierr);
356     col  = row + nz;
357 
358     nz = 0;
359     for (i=0; i<M; i++) {
360       rnz = ai[i+1] - ai[i];
361       ajj = aj + ai[i];
362       for (j=0; j<rnz; j++) {
363         row[nz] = i+shift; col[nz++] = ajj[j] + shift;
364       }
365     }
366     *r = row; *c = col;
367   }
368   PetscFunctionReturn(0);
369 }
370 
371 PetscErrorCode MatConvertToTriples_seqaij_seqsbaij(Mat A,int shift,MatReuse reuse,int *nnz,int **r, int **c, PetscScalar **v)
372 {
373   const PetscInt    *ai,*aj,*ajj,*adiag,M=A->rmap->n;
374   PetscInt          nz,rnz,i,j;
375   const PetscScalar *av,*v1;
376   PetscScalar       *val;
377   PetscErrorCode    ierr;
378   PetscInt          *row,*col;
379   Mat_SeqAIJ        *aa=(Mat_SeqAIJ*)A->data;
380   PetscBool         missing;
381 
382   PetscFunctionBegin;
383   ai    = aa->i; aj = aa->j; av = aa->a;
384   adiag = aa->diag;
385   ierr  = MatMissingDiagonal_SeqAIJ(A,&missing,&i);CHKERRQ(ierr);
386   if (reuse == MAT_INITIAL_MATRIX) {
387     /* count nz in the upper triangular part of A */
388     nz = 0;
389     if (missing) {
390       for (i=0; i<M; i++) {
391         if (PetscUnlikely(adiag[i] >= ai[i+1])) {
392           for (j=ai[i];j<ai[i+1];j++) {
393             if (aj[j] < i) continue;
394             nz++;
395           }
396         } else {
397           nz += ai[i+1] - adiag[i];
398         }
399       }
400     } else {
401       for (i=0; i<M; i++) nz += ai[i+1] - adiag[i];
402     }
403     *nnz = nz;
404 
405     ierr = PetscMalloc((2*nz*sizeof(PetscInt)+nz*sizeof(PetscScalar)), &row);CHKERRQ(ierr);
406     col  = row + nz;
407     val  = (PetscScalar*)(col + nz);
408 
409     nz = 0;
410     if (missing) {
411       for (i=0; i<M; i++) {
412         if (PetscUnlikely(adiag[i] >= ai[i+1])) {
413           for (j=ai[i];j<ai[i+1];j++) {
414             if (aj[j] < i) continue;
415             row[nz] = i+shift;
416             col[nz] = aj[j]+shift;
417             val[nz] = av[j];
418             nz++;
419           }
420         } else {
421           rnz = ai[i+1] - adiag[i];
422           ajj = aj + adiag[i];
423           v1  = av + adiag[i];
424           for (j=0; j<rnz; j++) {
425             row[nz] = i+shift; col[nz] = ajj[j] + shift; val[nz++] = v1[j];
426           }
427         }
428       }
429     } else {
430       for (i=0; i<M; i++) {
431         rnz = ai[i+1] - adiag[i];
432         ajj = aj + adiag[i];
433         v1  = av + adiag[i];
434         for (j=0; j<rnz; j++) {
435           row[nz] = i+shift; col[nz] = ajj[j] + shift; val[nz++] = v1[j];
436         }
437       }
438     }
439     *r = row; *c = col; *v = val;
440   } else {
441     nz = 0; val = *v;
442     if (missing) {
443       for (i=0; i <M; i++) {
444         if (PetscUnlikely(adiag[i] >= ai[i+1])) {
445           for (j=ai[i];j<ai[i+1];j++) {
446             if (aj[j] < i) continue;
447             val[nz++] = av[j];
448           }
449         } else {
450           rnz = ai[i+1] - adiag[i];
451           v1  = av + adiag[i];
452           for (j=0; j<rnz; j++) {
453             val[nz++] = v1[j];
454           }
455         }
456       }
457     } else {
458       for (i=0; i <M; i++) {
459         rnz = ai[i+1] - adiag[i];
460         v1  = av + adiag[i];
461         for (j=0; j<rnz; j++) {
462           val[nz++] = v1[j];
463         }
464       }
465     }
466   }
467   PetscFunctionReturn(0);
468 }
469 
470 PetscErrorCode MatConvertToTriples_mpisbaij_mpisbaij(Mat A,int shift,MatReuse reuse,int *nnz,int **r, int **c, PetscScalar **v)
471 {
472   const PetscInt    *ai, *aj, *bi, *bj,*garray,m=A->rmap->n,*ajj,*bjj;
473   PetscErrorCode    ierr;
474   PetscInt          rstart,nz,i,j,jj,irow,countA,countB;
475   PetscInt          *row,*col;
476   const PetscScalar *av, *bv,*v1,*v2;
477   PetscScalar       *val;
478   Mat_MPISBAIJ      *mat = (Mat_MPISBAIJ*)A->data;
479   Mat_SeqSBAIJ      *aa  = (Mat_SeqSBAIJ*)(mat->A)->data;
480   Mat_SeqBAIJ       *bb  = (Mat_SeqBAIJ*)(mat->B)->data;
481 
482   PetscFunctionBegin;
483   ai=aa->i; aj=aa->j; bi=bb->i; bj=bb->j; rstart= A->rmap->rstart;
484   av=aa->a; bv=bb->a;
485 
486   garray = mat->garray;
487 
488   if (reuse == MAT_INITIAL_MATRIX) {
489     nz   = aa->nz + bb->nz;
490     *nnz = nz;
491     ierr = PetscMalloc((2*nz*sizeof(PetscInt)+nz*sizeof(PetscScalar)), &row);CHKERRQ(ierr);
492     col  = row + nz;
493     val  = (PetscScalar*)(col + nz);
494 
495     *r = row; *c = col; *v = val;
496   } else {
497     row = *r; col = *c; val = *v;
498   }
499 
500   jj = 0; irow = rstart;
501   for (i=0; i<m; i++) {
502     ajj    = aj + ai[i];                 /* ptr to the beginning of this row */
503     countA = ai[i+1] - ai[i];
504     countB = bi[i+1] - bi[i];
505     bjj    = bj + bi[i];
506     v1     = av + ai[i];
507     v2     = bv + bi[i];
508 
509     /* A-part */
510     for (j=0; j<countA; j++) {
511       if (reuse == MAT_INITIAL_MATRIX) {
512         row[jj] = irow + shift; col[jj] = rstart + ajj[j] + shift;
513       }
514       val[jj++] = v1[j];
515     }
516 
517     /* B-part */
518     for (j=0; j < countB; j++) {
519       if (reuse == MAT_INITIAL_MATRIX) {
520         row[jj] = irow + shift; col[jj] = garray[bjj[j]] + shift;
521       }
522       val[jj++] = v2[j];
523     }
524     irow++;
525   }
526   PetscFunctionReturn(0);
527 }
528 
529 PetscErrorCode MatConvertToTriples_mpiaij_mpiaij(Mat A,int shift,MatReuse reuse,int *nnz,int **r, int **c, PetscScalar **v)
530 {
531   const PetscInt    *ai, *aj, *bi, *bj,*garray,m=A->rmap->n,*ajj,*bjj;
532   PetscErrorCode    ierr;
533   PetscInt          rstart,nz,i,j,jj,irow,countA,countB;
534   PetscInt          *row,*col;
535   const PetscScalar *av, *bv,*v1,*v2;
536   PetscScalar       *val;
537   Mat_MPIAIJ        *mat = (Mat_MPIAIJ*)A->data;
538   Mat_SeqAIJ        *aa  = (Mat_SeqAIJ*)(mat->A)->data;
539   Mat_SeqAIJ        *bb  = (Mat_SeqAIJ*)(mat->B)->data;
540 
541   PetscFunctionBegin;
542   ai=aa->i; aj=aa->j; bi=bb->i; bj=bb->j; rstart= A->rmap->rstart;
543   av=aa->a; bv=bb->a;
544 
545   garray = mat->garray;
546 
547   if (reuse == MAT_INITIAL_MATRIX) {
548     nz   = aa->nz + bb->nz;
549     *nnz = nz;
550     ierr = PetscMalloc((2*nz*sizeof(PetscInt)+nz*sizeof(PetscScalar)), &row);CHKERRQ(ierr);
551     col  = row + nz;
552     val  = (PetscScalar*)(col + nz);
553 
554     *r = row; *c = col; *v = val;
555   } else {
556     row = *r; col = *c; val = *v;
557   }
558 
559   jj = 0; irow = rstart;
560   for (i=0; i<m; i++) {
561     ajj    = aj + ai[i];                 /* ptr to the beginning of this row */
562     countA = ai[i+1] - ai[i];
563     countB = bi[i+1] - bi[i];
564     bjj    = bj + bi[i];
565     v1     = av + ai[i];
566     v2     = bv + bi[i];
567 
568     /* A-part */
569     for (j=0; j<countA; j++) {
570       if (reuse == MAT_INITIAL_MATRIX) {
571         row[jj] = irow + shift; col[jj] = rstart + ajj[j] + shift;
572       }
573       val[jj++] = v1[j];
574     }
575 
576     /* B-part */
577     for (j=0; j < countB; j++) {
578       if (reuse == MAT_INITIAL_MATRIX) {
579         row[jj] = irow + shift; col[jj] = garray[bjj[j]] + shift;
580       }
581       val[jj++] = v2[j];
582     }
583     irow++;
584   }
585   PetscFunctionReturn(0);
586 }
587 
588 PetscErrorCode MatConvertToTriples_mpibaij_mpiaij(Mat A,int shift,MatReuse reuse,int *nnz,int **r, int **c, PetscScalar **v)
589 {
590   Mat_MPIBAIJ       *mat    = (Mat_MPIBAIJ*)A->data;
591   Mat_SeqBAIJ       *aa     = (Mat_SeqBAIJ*)(mat->A)->data;
592   Mat_SeqBAIJ       *bb     = (Mat_SeqBAIJ*)(mat->B)->data;
593   const PetscInt    *ai     = aa->i, *bi = bb->i, *aj = aa->j, *bj = bb->j,*ajj, *bjj;
594   const PetscInt    *garray = mat->garray,mbs=mat->mbs,rstart=A->rmap->rstart;
595   const PetscInt    bs2=mat->bs2;
596   PetscErrorCode    ierr;
597   PetscInt          bs,nz,i,j,k,n,jj,irow,countA,countB,idx;
598   PetscInt          *row,*col;
599   const PetscScalar *av=aa->a, *bv=bb->a,*v1,*v2;
600   PetscScalar       *val;
601 
602   PetscFunctionBegin;
603   ierr = MatGetBlockSize(A,&bs);CHKERRQ(ierr);
604   if (reuse == MAT_INITIAL_MATRIX) {
605     nz   = bs2*(aa->nz + bb->nz);
606     *nnz = nz;
607     ierr = PetscMalloc((2*nz*sizeof(PetscInt)+nz*sizeof(PetscScalar)), &row);CHKERRQ(ierr);
608     col  = row + nz;
609     val  = (PetscScalar*)(col + nz);
610 
611     *r = row; *c = col; *v = val;
612   } else {
613     row = *r; col = *c; val = *v;
614   }
615 
616   jj = 0; irow = rstart;
617   for (i=0; i<mbs; i++) {
618     countA = ai[i+1] - ai[i];
619     countB = bi[i+1] - bi[i];
620     ajj    = aj + ai[i];
621     bjj    = bj + bi[i];
622     v1     = av + bs2*ai[i];
623     v2     = bv + bs2*bi[i];
624 
625     idx = 0;
626     /* A-part */
627     for (k=0; k<countA; k++) {
628       for (j=0; j<bs; j++) {
629         for (n=0; n<bs; n++) {
630           if (reuse == MAT_INITIAL_MATRIX) {
631             row[jj] = irow + n + shift;
632             col[jj] = rstart + bs*ajj[k] + j + shift;
633           }
634           val[jj++] = v1[idx++];
635         }
636       }
637     }
638 
639     idx = 0;
640     /* B-part */
641     for (k=0; k<countB; k++) {
642       for (j=0; j<bs; j++) {
643         for (n=0; n<bs; n++) {
644           if (reuse == MAT_INITIAL_MATRIX) {
645             row[jj] = irow + n + shift;
646             col[jj] = bs*garray[bjj[k]] + j + shift;
647           }
648           val[jj++] = v2[idx++];
649         }
650       }
651     }
652     irow += bs;
653   }
654   PetscFunctionReturn(0);
655 }
656 
657 PetscErrorCode MatConvertToTriples_mpiaij_mpisbaij(Mat A,int shift,MatReuse reuse,int *nnz,int **r, int **c, PetscScalar **v)
658 {
659   const PetscInt    *ai, *aj,*adiag, *bi, *bj,*garray,m=A->rmap->n,*ajj,*bjj;
660   PetscErrorCode    ierr;
661   PetscInt          rstart,nz,nza,nzb,i,j,jj,irow,countA,countB;
662   PetscInt          *row,*col;
663   const PetscScalar *av, *bv,*v1,*v2;
664   PetscScalar       *val;
665   Mat_MPIAIJ        *mat =  (Mat_MPIAIJ*)A->data;
666   Mat_SeqAIJ        *aa  =(Mat_SeqAIJ*)(mat->A)->data;
667   Mat_SeqAIJ        *bb  =(Mat_SeqAIJ*)(mat->B)->data;
668 
669   PetscFunctionBegin;
670   ai=aa->i; aj=aa->j; adiag=aa->diag;
671   bi=bb->i; bj=bb->j; garray = mat->garray;
672   av=aa->a; bv=bb->a;
673 
674   rstart = A->rmap->rstart;
675 
676   if (reuse == MAT_INITIAL_MATRIX) {
677     nza = 0;    /* num of upper triangular entries in mat->A, including diagonals */
678     nzb = 0;    /* num of upper triangular entries in mat->B */
679     for (i=0; i<m; i++) {
680       nza   += (ai[i+1] - adiag[i]);
681       countB = bi[i+1] - bi[i];
682       bjj    = bj + bi[i];
683       for (j=0; j<countB; j++) {
684         if (garray[bjj[j]] > rstart) nzb++;
685       }
686     }
687 
688     nz   = nza + nzb; /* total nz of upper triangular part of mat */
689     *nnz = nz;
690     ierr = PetscMalloc((2*nz*sizeof(PetscInt)+nz*sizeof(PetscScalar)), &row);CHKERRQ(ierr);
691     col  = row + nz;
692     val  = (PetscScalar*)(col + nz);
693 
694     *r = row; *c = col; *v = val;
695   } else {
696     row = *r; col = *c; val = *v;
697   }
698 
699   jj = 0; irow = rstart;
700   for (i=0; i<m; i++) {
701     ajj    = aj + adiag[i];                 /* ptr to the beginning of the diagonal of this row */
702     v1     = av + adiag[i];
703     countA = ai[i+1] - adiag[i];
704     countB = bi[i+1] - bi[i];
705     bjj    = bj + bi[i];
706     v2     = bv + bi[i];
707 
708     /* A-part */
709     for (j=0; j<countA; j++) {
710       if (reuse == MAT_INITIAL_MATRIX) {
711         row[jj] = irow + shift; col[jj] = rstart + ajj[j] + shift;
712       }
713       val[jj++] = v1[j];
714     }
715 
716     /* B-part */
717     for (j=0; j < countB; j++) {
718       if (garray[bjj[j]] > rstart) {
719         if (reuse == MAT_INITIAL_MATRIX) {
720           row[jj] = irow + shift; col[jj] = garray[bjj[j]] + shift;
721         }
722         val[jj++] = v2[j];
723       }
724     }
725     irow++;
726   }
727   PetscFunctionReturn(0);
728 }
729 
730 PetscErrorCode MatDestroy_MUMPS(Mat A)
731 {
732   Mat_MUMPS      *mumps=(Mat_MUMPS*)A->data;
733   PetscErrorCode ierr;
734 
735   PetscFunctionBegin;
736   ierr = PetscFree2(mumps->id.sol_loc,mumps->id.isol_loc);CHKERRQ(ierr);
737   ierr = VecScatterDestroy(&mumps->scat_rhs);CHKERRQ(ierr);
738   ierr = VecScatterDestroy(&mumps->scat_sol);CHKERRQ(ierr);
739   ierr = VecDestroy(&mumps->b_seq);CHKERRQ(ierr);
740   ierr = VecDestroy(&mumps->x_seq);CHKERRQ(ierr);
741   ierr = PetscFree(mumps->id.perm_in);CHKERRQ(ierr);
742   ierr = PetscFree(mumps->irn);CHKERRQ(ierr);
743   ierr = PetscFree(mumps->info);CHKERRQ(ierr);
744   ierr = MatMumpsResetSchur_Private(mumps);CHKERRQ(ierr);
745   mumps->id.job = JOB_END;
746   PetscMUMPS_c(mumps);
747 #if defined(PETSC_HAVE_OPENMP_SUPPORT)
748   if (mumps->use_petsc_omp_support) { ierr = PetscOmpCtrlDestroy(&mumps->omp_ctrl);CHKERRQ(ierr); }
749 #endif
750   ierr = PetscFree2(mumps->recvcount,mumps->displs);CHKERRQ(ierr);
751   ierr = PetscFree(A->data);CHKERRQ(ierr);
752 
753   /* clear composed functions */
754   ierr = PetscObjectComposeFunction((PetscObject)A,"MatFactorGetSolverType_C",NULL);CHKERRQ(ierr);
755   ierr = PetscObjectComposeFunction((PetscObject)A,"MatFactorSetSchurIS_C",NULL);CHKERRQ(ierr);
756   ierr = PetscObjectComposeFunction((PetscObject)A,"MatFactorCreateSchurComplement_C",NULL);CHKERRQ(ierr);
757   ierr = PetscObjectComposeFunction((PetscObject)A,"MatMumpsSetIcntl_C",NULL);CHKERRQ(ierr);
758   ierr = PetscObjectComposeFunction((PetscObject)A,"MatMumpsGetIcntl_C",NULL);CHKERRQ(ierr);
759   ierr = PetscObjectComposeFunction((PetscObject)A,"MatMumpsSetCntl_C",NULL);CHKERRQ(ierr);
760   ierr = PetscObjectComposeFunction((PetscObject)A,"MatMumpsGetCntl_C",NULL);CHKERRQ(ierr);
761   ierr = PetscObjectComposeFunction((PetscObject)A,"MatMumpsGetInfo_C",NULL);CHKERRQ(ierr);
762   ierr = PetscObjectComposeFunction((PetscObject)A,"MatMumpsGetInfog_C",NULL);CHKERRQ(ierr);
763   ierr = PetscObjectComposeFunction((PetscObject)A,"MatMumpsGetRinfo_C",NULL);CHKERRQ(ierr);
764   ierr = PetscObjectComposeFunction((PetscObject)A,"MatMumpsGetRinfog_C",NULL);CHKERRQ(ierr);
765   ierr = PetscObjectComposeFunction((PetscObject)A,"MatMumpsGetInverse_C",NULL);CHKERRQ(ierr);
766   ierr = PetscObjectComposeFunction((PetscObject)A,"MatMumpsGetInverseTranspose_C",NULL);CHKERRQ(ierr);
767   PetscFunctionReturn(0);
768 }
769 
770 PetscErrorCode MatSolve_MUMPS(Mat A,Vec b,Vec x)
771 {
772   Mat_MUMPS        *mumps=(Mat_MUMPS*)A->data;
773   PetscScalar      *array;
774   Vec              b_seq;
775   IS               is_iden,is_petsc;
776   PetscErrorCode   ierr;
777   PetscInt         i;
778   PetscBool        second_solve = PETSC_FALSE;
779   static PetscBool cite1 = PETSC_FALSE,cite2 = PETSC_FALSE;
780 
781   PetscFunctionBegin;
782   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);
783   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);
784 
785   if (A->factorerrortype) {
786     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);
787     ierr = VecSetInf(x);CHKERRQ(ierr);
788     PetscFunctionReturn(0);
789   }
790 
791   mumps->id.ICNTL(20)= 0; /* dense RHS */
792   mumps->id.nrhs     = 1;
793   b_seq          = mumps->b_seq;
794   if (mumps->petsc_size > 1) {
795     /* MUMPS only supports centralized rhs. Scatter b into a seqential rhs vector */
796     ierr = VecScatterBegin(mumps->scat_rhs,b,b_seq,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
797     ierr = VecScatterEnd(mumps->scat_rhs,b,b_seq,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
798     if (!mumps->myid) {ierr = VecGetArray(b_seq,&array);CHKERRQ(ierr);}
799   } else {  /* petsc_size == 1 */
800     ierr = VecCopy(b,x);CHKERRQ(ierr);
801     ierr = VecGetArray(x,&array);CHKERRQ(ierr);
802   }
803   if (!mumps->myid) { /* define rhs on the host */
804     mumps->id.nrhs = 1;
805     mumps->id.rhs = (MumpsScalar*)array;
806   }
807 
808   /*
809      handle condensation step of Schur complement (if any)
810      We set by default ICNTL(26) == -1 when Schur indices have been provided by the user.
811      According to MUMPS (5.0.0) manual, any value should be harmful during the factorization phase
812      Unless the user provides a valid value for ICNTL(26), MatSolve and MatMatSolve routines solve the full system.
813      This requires an extra call to PetscMUMPS_c and the computation of the factors for S
814   */
815   if (mumps->id.size_schur > 0 && (mumps->id.ICNTL(26) < 0 || mumps->id.ICNTL(26) > 2)) {
816     if (mumps->petsc_size > 1) SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_SUP,"Parallel Schur complements not yet supported from PETSc\n");
817     second_solve = PETSC_TRUE;
818     ierr = MatMumpsHandleSchur_Private(A,PETSC_FALSE);CHKERRQ(ierr);
819   }
820   /* solve phase */
821   /*-------------*/
822   mumps->id.job = JOB_SOLVE;
823   PetscMUMPS_c(mumps);
824   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));
825 
826   /* handle expansion step of Schur complement (if any) */
827   if (second_solve) {
828     ierr = MatMumpsHandleSchur_Private(A,PETSC_TRUE);CHKERRQ(ierr);
829   }
830 
831   if (mumps->petsc_size > 1) { /* convert mumps distributed solution to petsc mpi x */
832     if (mumps->scat_sol && mumps->ICNTL9_pre != mumps->id.ICNTL(9)) {
833       /* when id.ICNTL(9) changes, the contents of lsol_loc may change (not its size, lsol_loc), recreates scat_sol */
834       ierr = VecScatterDestroy(&mumps->scat_sol);CHKERRQ(ierr);
835     }
836     if (!mumps->scat_sol) { /* create scatter scat_sol */
837       ierr = ISCreateStride(PETSC_COMM_SELF,mumps->id.lsol_loc,0,1,&is_iden);CHKERRQ(ierr); /* from */
838       for (i=0; i<mumps->id.lsol_loc; i++) {
839         mumps->id.isol_loc[i] -= 1; /* change Fortran style to C style */
840       }
841       ierr = ISCreateGeneral(PETSC_COMM_SELF,mumps->id.lsol_loc,mumps->id.isol_loc,PETSC_COPY_VALUES,&is_petsc);CHKERRQ(ierr);  /* to */
842       ierr = VecScatterCreate(mumps->x_seq,is_iden,x,is_petsc,&mumps->scat_sol);CHKERRQ(ierr);
843       ierr = ISDestroy(&is_iden);CHKERRQ(ierr);
844       ierr = ISDestroy(&is_petsc);CHKERRQ(ierr);
845 
846       mumps->ICNTL9_pre = mumps->id.ICNTL(9); /* save current value of id.ICNTL(9) */
847     }
848 
849     ierr = VecScatterBegin(mumps->scat_sol,mumps->x_seq,x,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
850     ierr = VecScatterEnd(mumps->scat_sol,mumps->x_seq,x,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
851   }
852   ierr = PetscLogFlops(2.0*mumps->id.RINFO(3));CHKERRQ(ierr);
853   PetscFunctionReturn(0);
854 }
855 
856 PetscErrorCode MatSolveTranspose_MUMPS(Mat A,Vec b,Vec x)
857 {
858   Mat_MUMPS      *mumps=(Mat_MUMPS*)A->data;
859   PetscErrorCode ierr;
860 
861   PetscFunctionBegin;
862   mumps->id.ICNTL(9) = 0;
863   ierr = MatSolve_MUMPS(A,b,x);CHKERRQ(ierr);
864   mumps->id.ICNTL(9) = 1;
865   PetscFunctionReturn(0);
866 }
867 
868 PetscErrorCode MatMatSolve_MUMPS(Mat A,Mat B,Mat X)
869 {
870   PetscErrorCode ierr;
871   Mat            Bt = NULL;
872   PetscBool      flg, flgT;
873   Mat_MUMPS      *mumps=(Mat_MUMPS*)A->data;
874   PetscInt       i,nrhs,M;
875   PetscScalar    *array,*bray;
876   PetscInt       lsol_loc,nlsol_loc,*isol_loc,*idx,*iidx,*idxx,*isol_loc_save;
877   MumpsScalar    *sol_loc,*sol_loc_save;
878   IS             is_to,is_from;
879   PetscInt       k,proc,j,m;
880   const PetscInt *rstart;
881   Vec            v_mpi,b_seq,x_seq;
882   VecScatter     scat_rhs,scat_sol;
883   PetscScalar    *aa;
884   PetscInt       spnr,*ia,*ja;
885   Mat_MPIAIJ     *b = NULL;
886 
887   PetscFunctionBegin;
888   ierr = PetscObjectTypeCompareAny((PetscObject)X,&flg,MATSEQDENSE,MATMPIDENSE,NULL);CHKERRQ(ierr);
889   if (!flg) SETERRQ(PetscObjectComm((PetscObject)X),PETSC_ERR_ARG_WRONG,"Matrix X must be MATDENSE matrix");
890 
891   ierr = PetscObjectTypeCompareAny((PetscObject)B,&flg,MATSEQDENSE,MATMPIDENSE,NULL);CHKERRQ(ierr);
892   if (flg) { /* dense B */
893     if (B->rmap->n != X->rmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"Matrix B and X must have same row distribution");
894     mumps->id.ICNTL(20)= 0; /* dense RHS */
895   } else { /* sparse B */
896     ierr = PetscObjectTypeCompare((PetscObject)B,MATTRANSPOSEMAT,&flgT);CHKERRQ(ierr);
897     if (flgT) { /* input B is transpose of actural RHS matrix,
898                  because mumps requires sparse compressed COLUMN storage! See MatMatTransposeSolve_MUMPS() */
899       ierr = MatTransposeGetMat(B,&Bt);CHKERRQ(ierr);
900     } else SETERRQ(PetscObjectComm((PetscObject)B),PETSC_ERR_ARG_WRONG,"Matrix B must be MATTRANSPOSEMAT matrix");
901     mumps->id.ICNTL(20)= 1; /* sparse RHS */
902   }
903 
904   ierr = MatGetSize(B,&M,&nrhs);CHKERRQ(ierr);
905   mumps->id.nrhs = nrhs;
906   mumps->id.lrhs = M;
907   mumps->id.rhs  = NULL;
908 
909   if (mumps->petsc_size == 1) {
910     PetscScalar *aa;
911     PetscInt    spnr,*ia,*ja;
912     PetscBool   second_solve = PETSC_FALSE;
913 
914     ierr = MatDenseGetArray(X,&array);CHKERRQ(ierr);
915     mumps->id.rhs = (MumpsScalar*)array;
916 
917     if (!Bt) { /* dense B */
918       /* copy B to X */
919       ierr = MatDenseGetArray(B,&bray);CHKERRQ(ierr);
920       ierr = PetscMemcpy(array,bray,M*nrhs*sizeof(PetscScalar));CHKERRQ(ierr);
921       ierr = MatDenseRestoreArray(B,&bray);CHKERRQ(ierr);
922     } else { /* sparse B */
923       ierr = MatSeqAIJGetArray(Bt,&aa);CHKERRQ(ierr);
924       ierr = MatGetRowIJ(Bt,1,PETSC_FALSE,PETSC_FALSE,&spnr,(const PetscInt**)&ia,(const PetscInt**)&ja,&flg);CHKERRQ(ierr);
925       if (!flg) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"Cannot get IJ structure");
926       /* mumps requires ia and ja start at 1! */
927       mumps->id.irhs_ptr    = ia;
928       mumps->id.irhs_sparse = ja;
929       mumps->id.nz_rhs      = ia[spnr] - 1;
930       mumps->id.rhs_sparse  = (MumpsScalar*)aa;
931     }
932     /* handle condensation step of Schur complement (if any) */
933     if (mumps->id.size_schur > 0 && (mumps->id.ICNTL(26) < 0 || mumps->id.ICNTL(26) > 2)) {
934       second_solve = PETSC_TRUE;
935       ierr = MatMumpsHandleSchur_Private(A,PETSC_FALSE);CHKERRQ(ierr);
936     }
937     /* solve phase */
938     /*-------------*/
939     mumps->id.job = JOB_SOLVE;
940     PetscMUMPS_c(mumps);
941     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));
942 
943     /* handle expansion step of Schur complement (if any) */
944     if (second_solve) {
945       ierr = MatMumpsHandleSchur_Private(A,PETSC_TRUE);CHKERRQ(ierr);
946     }
947     if (Bt) { /* sparse B */
948       ierr = MatSeqAIJRestoreArray(Bt,&aa);CHKERRQ(ierr);
949       ierr = MatRestoreRowIJ(Bt,1,PETSC_FALSE,PETSC_FALSE,&spnr,(const PetscInt**)&ia,(const PetscInt**)&ja,&flg);CHKERRQ(ierr);
950       if (!flg) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"Cannot restore IJ structure");
951     }
952     ierr = MatDenseRestoreArray(X,&array);CHKERRQ(ierr);
953     PetscFunctionReturn(0);
954   }
955 
956   /*--------- parallel case: MUMPS requires rhs B to be centralized on the host! --------*/
957   if (mumps->petsc_size > 1 && mumps->id.ICNTL(19)) SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_SUP,"Parallel Schur complements not yet supported from PETSc\n");
958 
959   /* create x_seq to hold mumps local solution */
960   isol_loc_save = mumps->id.isol_loc; /* save it for MatSovle() */
961   sol_loc_save  = mumps->id.sol_loc;
962 
963   lsol_loc  = mumps->id.lsol_loc;
964   nlsol_loc = nrhs*lsol_loc;     /* length of sol_loc */
965   ierr = PetscMalloc2(nlsol_loc,&sol_loc,lsol_loc,&isol_loc);CHKERRQ(ierr);
966   mumps->id.sol_loc  = (MumpsScalar*)sol_loc;
967   mumps->id.isol_loc = isol_loc;
968 
969   ierr = VecCreateSeqWithArray(PETSC_COMM_SELF,1,nlsol_loc,(PetscScalar*)sol_loc,&x_seq);CHKERRQ(ierr);
970 
971   /* scatter v_mpi to b_seq because MUMPS only supports centralized rhs */
972   /* idx: maps from k-th index of v_mpi to (i,j)-th global entry of B;
973      iidx: inverse of idx, will be used by scattering mumps x_seq -> petsc X */
974   ierr = PetscMalloc1(nrhs*M,&idx);CHKERRQ(ierr);
975 
976   if (!Bt) { /* dense B */
977     /* wrap dense rhs matrix B into a vector v_mpi */
978     ierr = MatGetLocalSize(B,&m,NULL);CHKERRQ(ierr);
979     ierr = MatDenseGetArray(B,&bray);CHKERRQ(ierr);
980     ierr = VecCreateMPIWithArray(PetscObjectComm((PetscObject)B),1,nrhs*m,nrhs*M,(const PetscScalar*)bray,&v_mpi);CHKERRQ(ierr);
981     ierr = MatDenseRestoreArray(B,&bray);CHKERRQ(ierr);
982 
983     /* scatter v_mpi to b_seq in proc[0]. MUMPS requires rhs to be centralized on the host! */
984     if (!mumps->myid) {
985       ierr = MatGetOwnershipRanges(B,&rstart);CHKERRQ(ierr);
986       k = 0;
987       for (proc=0; proc<mumps->petsc_size; proc++){
988         for (j=0; j<nrhs; j++){
989           for (i=rstart[proc]; i<rstart[proc+1]; i++){
990             idx[k++]      = j*M + i;
991           }
992         }
993       }
994 
995       ierr = VecCreateSeq(PETSC_COMM_SELF,nrhs*M,&b_seq);CHKERRQ(ierr);
996       ierr = ISCreateGeneral(PETSC_COMM_SELF,nrhs*M,idx,PETSC_COPY_VALUES,&is_to);CHKERRQ(ierr);
997       ierr = ISCreateStride(PETSC_COMM_SELF,nrhs*M,0,1,&is_from);CHKERRQ(ierr);
998     } else {
999       ierr = VecCreateSeq(PETSC_COMM_SELF,0,&b_seq);CHKERRQ(ierr);
1000       ierr = ISCreateStride(PETSC_COMM_SELF,0,0,1,&is_to);CHKERRQ(ierr);
1001       ierr = ISCreateStride(PETSC_COMM_SELF,0,0,1,&is_from);CHKERRQ(ierr);
1002     }
1003     ierr = VecScatterCreate(v_mpi,is_from,b_seq,is_to,&scat_rhs);CHKERRQ(ierr);
1004     ierr = VecScatterBegin(scat_rhs,v_mpi,b_seq,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1005     ierr = ISDestroy(&is_to);CHKERRQ(ierr);
1006     ierr = ISDestroy(&is_from);CHKERRQ(ierr);
1007     ierr = VecScatterEnd(scat_rhs,v_mpi,b_seq,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1008 
1009     if (!mumps->myid) { /* define rhs on the host */
1010       ierr = VecGetArray(b_seq,&bray);CHKERRQ(ierr);
1011       mumps->id.rhs = (MumpsScalar*)bray;
1012       ierr = VecRestoreArray(b_seq,&bray);CHKERRQ(ierr);
1013     }
1014 
1015   } else { /* sparse B */
1016     b = (Mat_MPIAIJ*)Bt->data;
1017 
1018     /* wrap dense X into a vector v_mpi */
1019     ierr = MatGetLocalSize(X,&m,NULL);CHKERRQ(ierr);
1020     ierr = MatDenseGetArray(X,&bray);CHKERRQ(ierr);
1021     ierr = VecCreateMPIWithArray(PetscObjectComm((PetscObject)X),1,nrhs*m,nrhs*M,(const PetscScalar*)bray,&v_mpi);CHKERRQ(ierr);
1022     ierr = MatDenseRestoreArray(X,&bray);CHKERRQ(ierr);
1023 
1024     if (!mumps->myid) {
1025       ierr = MatSeqAIJGetArray(b->A,&aa);CHKERRQ(ierr);
1026       ierr = MatGetRowIJ(b->A,1,PETSC_FALSE,PETSC_FALSE,&spnr,(const PetscInt**)&ia,(const PetscInt**)&ja,&flg);CHKERRQ(ierr);
1027       if (!flg) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"Cannot get IJ structure");
1028       /* mumps requires ia and ja start at 1! */
1029       mumps->id.irhs_ptr    = ia;
1030       mumps->id.irhs_sparse = ja;
1031       mumps->id.nz_rhs      = ia[spnr] - 1;
1032       mumps->id.rhs_sparse  = (MumpsScalar*)aa;
1033     } else {
1034       mumps->id.irhs_ptr    = NULL;
1035       mumps->id.irhs_sparse = NULL;
1036       mumps->id.nz_rhs      = 0;
1037       mumps->id.rhs_sparse  = NULL;
1038     }
1039   }
1040 
1041   /* solve phase */
1042   /*-------------*/
1043   mumps->id.job = JOB_SOLVE;
1044   PetscMUMPS_c(mumps);
1045   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));
1046 
1047   /* scatter mumps distributed solution to petsc vector v_mpi, which shares local arrays with solution matrix X */
1048   ierr = MatDenseGetArray(X,&array);CHKERRQ(ierr);
1049   ierr = VecPlaceArray(v_mpi,array);CHKERRQ(ierr);
1050 
1051   /* create scatter scat_sol */
1052   ierr = MatGetOwnershipRanges(X,&rstart);CHKERRQ(ierr);
1053   /* iidx: inverse of idx computed above, used for scattering mumps x_seq to petsc X */
1054   iidx = idx;
1055   k    = 0;
1056   for (proc=0; proc<mumps->petsc_size; proc++){
1057     for (j=0; j<nrhs; j++){
1058       for (i=rstart[proc]; i<rstart[proc+1]; i++) iidx[j*M + i] = k++;
1059     }
1060   }
1061 
1062   ierr = PetscMalloc1(nlsol_loc,&idxx);CHKERRQ(ierr);
1063   ierr = ISCreateStride(PETSC_COMM_SELF,nlsol_loc,0,1,&is_from);CHKERRQ(ierr);
1064   for (i=0; i<lsol_loc; i++) {
1065     isol_loc[i] -= 1; /* change Fortran style to C style */
1066     idxx[i] = iidx[isol_loc[i]];
1067     for (j=1; j<nrhs; j++){
1068       idxx[j*lsol_loc+i] = iidx[isol_loc[i]+j*M];
1069     }
1070   }
1071   ierr = ISCreateGeneral(PETSC_COMM_SELF,nlsol_loc,idxx,PETSC_COPY_VALUES,&is_to);CHKERRQ(ierr);
1072   ierr = VecScatterCreate(x_seq,is_from,v_mpi,is_to,&scat_sol);CHKERRQ(ierr);
1073   ierr = VecScatterBegin(scat_sol,x_seq,v_mpi,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1074   ierr = ISDestroy(&is_from);CHKERRQ(ierr);
1075   ierr = ISDestroy(&is_to);CHKERRQ(ierr);
1076   ierr = VecScatterEnd(scat_sol,x_seq,v_mpi,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1077   ierr = MatDenseRestoreArray(X,&array);CHKERRQ(ierr);
1078 
1079   /* free spaces */
1080   mumps->id.sol_loc  = sol_loc_save;
1081   mumps->id.isol_loc = isol_loc_save;
1082 
1083   ierr = PetscFree2(sol_loc,isol_loc);CHKERRQ(ierr);
1084   ierr = PetscFree(idx);CHKERRQ(ierr);
1085   ierr = PetscFree(idxx);CHKERRQ(ierr);
1086   ierr = VecDestroy(&x_seq);CHKERRQ(ierr);
1087   ierr = VecDestroy(&v_mpi);CHKERRQ(ierr);
1088   if (Bt) {
1089     if (!mumps->myid) {
1090       b = (Mat_MPIAIJ*)Bt->data;
1091       ierr = MatSeqAIJRestoreArray(b->A,&aa);CHKERRQ(ierr);
1092       ierr = MatRestoreRowIJ(b->A,1,PETSC_FALSE,PETSC_FALSE,&spnr,(const PetscInt**)&ia,(const PetscInt**)&ja,&flg);CHKERRQ(ierr);
1093       if (!flg) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"Cannot restore IJ structure");
1094     }
1095   } else {
1096     ierr = VecDestroy(&b_seq);CHKERRQ(ierr);
1097     ierr = VecScatterDestroy(&scat_rhs);CHKERRQ(ierr);
1098   }
1099   ierr = VecScatterDestroy(&scat_sol);CHKERRQ(ierr);
1100   ierr = PetscLogFlops(2.0*nrhs*mumps->id.RINFO(3));CHKERRQ(ierr);
1101   PetscFunctionReturn(0);
1102 }
1103 
1104 PetscErrorCode MatMatTransposeSolve_MUMPS(Mat A,Mat Bt,Mat X)
1105 {
1106   PetscErrorCode ierr;
1107   PetscBool      flg;
1108   Mat            B;
1109 
1110   PetscFunctionBegin;
1111   ierr = PetscObjectTypeCompareAny((PetscObject)Bt,&flg,MATSEQAIJ,MATMPIAIJ,NULL);CHKERRQ(ierr);
1112   if (!flg) SETERRQ(PetscObjectComm((PetscObject)Bt),PETSC_ERR_ARG_WRONG,"Matrix Bt must be MATAIJ matrix");
1113 
1114   /* Create B=Bt^T that uses Bt's data structure */
1115   ierr = MatCreateTranspose(Bt,&B);CHKERRQ(ierr);
1116 
1117   ierr = MatMatSolve_MUMPS(A,B,X);CHKERRQ(ierr);
1118   ierr = MatDestroy(&B);CHKERRQ(ierr);
1119   PetscFunctionReturn(0);
1120 }
1121 
1122 #if !defined(PETSC_USE_COMPLEX)
1123 /*
1124   input:
1125    F:        numeric factor
1126   output:
1127    nneg:     total number of negative pivots
1128    nzero:    total number of zero pivots
1129    npos:     (global dimension of F) - nneg - nzero
1130 */
1131 PetscErrorCode MatGetInertia_SBAIJMUMPS(Mat F,int *nneg,int *nzero,int *npos)
1132 {
1133   Mat_MUMPS      *mumps =(Mat_MUMPS*)F->data;
1134   PetscErrorCode ierr;
1135   PetscMPIInt    size;
1136 
1137   PetscFunctionBegin;
1138   ierr = MPI_Comm_size(PetscObjectComm((PetscObject)F),&size);CHKERRQ(ierr);
1139   /* 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 */
1140   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));
1141 
1142   if (nneg) *nneg = mumps->id.INFOG(12);
1143   if (nzero || npos) {
1144     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");
1145     if (nzero) *nzero = mumps->id.INFOG(28);
1146     if (npos) *npos   = F->rmap->N - (mumps->id.INFOG(12) + mumps->id.INFOG(28));
1147   }
1148   PetscFunctionReturn(0);
1149 }
1150 #endif
1151 
1152 PetscErrorCode MatMumpsGatherNonzerosOnMaster(MatReuse reuse,Mat_MUMPS *mumps)
1153 {
1154   PetscErrorCode ierr;
1155   PetscInt       i,nz=0,*irn,*jcn=0;
1156   PetscScalar    *val=0;
1157   PetscMPIInt    mpinz,*recvcount=NULL,*displs=NULL;
1158 
1159   PetscFunctionBegin;
1160   if (mumps->omp_comm_size > 1) {
1161     if (reuse == MAT_INITIAL_MATRIX) {
1162       /* master first gathers counts of nonzeros to receive */
1163       if (mumps->is_omp_master) { ierr = PetscMalloc2(mumps->omp_comm_size,&recvcount,mumps->omp_comm_size,&displs);CHKERRQ(ierr); }
1164       ierr = PetscMPIIntCast(mumps->nz,&mpinz);CHKERRQ(ierr);
1165       ierr = MPI_Gather(&mpinz,1,MPI_INT,recvcount,1,MPI_INT,0/*root*/,mumps->omp_comm);CHKERRQ(ierr);
1166 
1167       /* master allocates memory to receive nonzeros */
1168       if (mumps->is_omp_master) {
1169         displs[0] = 0;
1170         for (i=1; i<mumps->omp_comm_size; i++) displs[i] = displs[i-1] + recvcount[i-1];
1171         nz   = displs[mumps->omp_comm_size-1] + recvcount[mumps->omp_comm_size-1];
1172         ierr = PetscMalloc(2*nz*sizeof(PetscInt)+nz*sizeof(PetscScalar),&irn);CHKERRQ(ierr);
1173         jcn  = irn + nz;
1174         val  = (PetscScalar*)(jcn + nz);
1175       }
1176 
1177       /* save the gatherv plan */
1178       mumps->mpinz     = mpinz; /* used as send count */
1179       mumps->recvcount = recvcount;
1180       mumps->displs    = displs;
1181 
1182       /* master gathers nonzeros */
1183       ierr = MPI_Gatherv(mumps->irn,mpinz,MPIU_INT,irn,mumps->recvcount,mumps->displs,MPIU_INT,0/*root*/,mumps->omp_comm);CHKERRQ(ierr);
1184       ierr = MPI_Gatherv(mumps->jcn,mpinz,MPIU_INT,jcn,mumps->recvcount,mumps->displs,MPIU_INT,0/*root*/,mumps->omp_comm);CHKERRQ(ierr);
1185       ierr = MPI_Gatherv(mumps->val,mpinz,MPIU_SCALAR,val,mumps->recvcount,mumps->displs,MPIU_SCALAR,0/*root*/,mumps->omp_comm);CHKERRQ(ierr);
1186 
1187       /* master frees its row/col/val and replaces them with bigger arrays */
1188       if (mumps->is_omp_master) {
1189         ierr = PetscFree(mumps->irn);CHKERRQ(ierr); /* irn/jcn/val are allocated together so free only irn */
1190         mumps->nz  = nz; /* it is a sum of mpinz over omp_comm */
1191         mumps->irn = irn;
1192         mumps->jcn = jcn;
1193         mumps->val = val;
1194       }
1195     } else {
1196       ierr = MPI_Gatherv((mumps->is_omp_master?MPI_IN_PLACE:mumps->val),mumps->mpinz,MPIU_SCALAR,mumps->val,mumps->recvcount,mumps->displs,MPIU_SCALAR,0/*root*/,mumps->omp_comm);CHKERRQ(ierr);
1197     }
1198   }
1199   PetscFunctionReturn(0);
1200 }
1201 
1202 PetscErrorCode MatFactorNumeric_MUMPS(Mat F,Mat A,const MatFactorInfo *info)
1203 {
1204   Mat_MUMPS      *mumps =(Mat_MUMPS*)(F)->data;
1205   PetscErrorCode ierr;
1206   PetscBool      isMPIAIJ;
1207 
1208   PetscFunctionBegin;
1209   if (mumps->id.INFOG(1) < 0) {
1210     if (mumps->id.INFOG(1) == -6) {
1211       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);
1212     }
1213     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);
1214     PetscFunctionReturn(0);
1215   }
1216 
1217   ierr = (*mumps->ConvertToTriples)(A, 1, MAT_REUSE_MATRIX, &mumps->nz, &mumps->irn, &mumps->jcn, &mumps->val);CHKERRQ(ierr);
1218   ierr = MatMumpsGatherNonzerosOnMaster(MAT_REUSE_MATRIX,mumps);CHKERRQ(ierr);
1219 
1220   /* numerical factorization phase */
1221   /*-------------------------------*/
1222   mumps->id.job = JOB_FACTNUMERIC;
1223   if (!mumps->id.ICNTL(18)) { /* A is centralized */
1224     if (!mumps->myid) {
1225       mumps->id.a = (MumpsScalar*)mumps->val;
1226     }
1227   } else {
1228     mumps->id.a_loc = (MumpsScalar*)mumps->val;
1229   }
1230   PetscMUMPS_c(mumps);
1231   if (mumps->id.INFOG(1) < 0) {
1232     if (A->erroriffailure) {
1233       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));
1234     } else {
1235       if (mumps->id.INFOG(1) == -10) { /* numerically singular matrix */
1236         ierr = PetscInfo2(F,"matrix is numerically singular, INFOG(1)=%d, INFO(2)=%d\n",mumps->id.INFOG(1),mumps->id.INFO(2));CHKERRQ(ierr);
1237         F->factorerrortype = MAT_FACTOR_NUMERIC_ZEROPIVOT;
1238       } else if (mumps->id.INFOG(1) == -13) {
1239         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);
1240         F->factorerrortype = MAT_FACTOR_OUTMEMORY;
1241       } else if (mumps->id.INFOG(1) == -8 || mumps->id.INFOG(1) == -9 || (-16 < mumps->id.INFOG(1) && mumps->id.INFOG(1) < -10) ) {
1242         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);
1243         F->factorerrortype = MAT_FACTOR_OUTMEMORY;
1244       } else {
1245         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);
1246         F->factorerrortype = MAT_FACTOR_OTHER;
1247       }
1248     }
1249   }
1250   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));
1251 
1252   F->assembled    = PETSC_TRUE;
1253   mumps->matstruc = SAME_NONZERO_PATTERN;
1254   if (F->schur) { /* reset Schur status to unfactored */
1255     if (mumps->id.ICNTL(19) == 1) { /* stored by rows */
1256       mumps->id.ICNTL(19) = 2;
1257       ierr = MatTranspose(F->schur,MAT_INPLACE_MATRIX,&F->schur);CHKERRQ(ierr);
1258     }
1259     ierr = MatFactorRestoreSchurComplement(F,NULL,MAT_FACTOR_SCHUR_UNFACTORED);CHKERRQ(ierr);
1260   }
1261 
1262   /* just to be sure that ICNTL(19) value returned by a call from MatMumpsGetIcntl is always consistent */
1263   if (!mumps->sym && mumps->id.ICNTL(19) && mumps->id.ICNTL(19) != 1) mumps->id.ICNTL(19) = 3;
1264 
1265   if (!mumps->is_omp_master) mumps->id.INFO(23) = 0;
1266   if (mumps->petsc_size > 1) {
1267     PetscInt    lsol_loc;
1268     PetscScalar *sol_loc;
1269 
1270     ierr = PetscObjectTypeCompare((PetscObject)A,MATMPIAIJ,&isMPIAIJ);CHKERRQ(ierr);
1271 
1272     /* distributed solution; Create x_seq=sol_loc for repeated use */
1273     if (mumps->x_seq) {
1274       ierr = VecScatterDestroy(&mumps->scat_sol);CHKERRQ(ierr);
1275       ierr = PetscFree2(mumps->id.sol_loc,mumps->id.isol_loc);CHKERRQ(ierr);
1276       ierr = VecDestroy(&mumps->x_seq);CHKERRQ(ierr);
1277     }
1278     lsol_loc = mumps->id.INFO(23); /* length of sol_loc */
1279     ierr = PetscMalloc2(lsol_loc,&sol_loc,lsol_loc,&mumps->id.isol_loc);CHKERRQ(ierr);
1280     mumps->id.lsol_loc = lsol_loc;
1281     mumps->id.sol_loc = (MumpsScalar*)sol_loc;
1282     ierr = VecCreateSeqWithArray(PETSC_COMM_SELF,1,lsol_loc,sol_loc,&mumps->x_seq);CHKERRQ(ierr);
1283   }
1284   ierr = PetscLogFlops(mumps->id.RINFO(2));CHKERRQ(ierr);
1285   PetscFunctionReturn(0);
1286 }
1287 
1288 /* Sets MUMPS options from the options database */
1289 PetscErrorCode PetscSetMUMPSFromOptions(Mat F, Mat A)
1290 {
1291   Mat_MUMPS      *mumps = (Mat_MUMPS*)F->data;
1292   PetscErrorCode ierr;
1293   PetscInt       icntl,info[40],i,ninfo=40;
1294   PetscBool      flg;
1295 
1296   PetscFunctionBegin;
1297   ierr = PetscOptionsBegin(PetscObjectComm((PetscObject)A),((PetscObject)A)->prefix,"MUMPS Options","Mat");CHKERRQ(ierr);
1298   ierr = PetscOptionsInt("-mat_mumps_icntl_1","ICNTL(1): output stream for error messages","None",mumps->id.ICNTL(1),&icntl,&flg);CHKERRQ(ierr);
1299   if (flg) mumps->id.ICNTL(1) = icntl;
1300   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);
1301   if (flg) mumps->id.ICNTL(2) = icntl;
1302   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);
1303   if (flg) mumps->id.ICNTL(3) = icntl;
1304 
1305   ierr = PetscOptionsInt("-mat_mumps_icntl_4","ICNTL(4): level of printing (0 to 4)","None",mumps->id.ICNTL(4),&icntl,&flg);CHKERRQ(ierr);
1306   if (flg) mumps->id.ICNTL(4) = icntl;
1307   if (mumps->id.ICNTL(4) || PetscLogPrintInfo) mumps->id.ICNTL(3) = 6; /* resume MUMPS default id.ICNTL(3) = 6 */
1308 
1309   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);
1310   if (flg) mumps->id.ICNTL(6) = icntl;
1311 
1312   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);
1313   if (flg) {
1314     if (icntl== 1 && mumps->petsc_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");
1315     else mumps->id.ICNTL(7) = icntl;
1316   }
1317 
1318   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);
1319   /* 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() */
1320   ierr = PetscOptionsInt("-mat_mumps_icntl_10","ICNTL(10): max num of refinements","None",mumps->id.ICNTL(10),&mumps->id.ICNTL(10),NULL);CHKERRQ(ierr);
1321   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);
1322   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);
1323   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);
1324   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);
1325   ierr = PetscOptionsInt("-mat_mumps_icntl_19","ICNTL(19): computes the Schur complement","None",mumps->id.ICNTL(19),&mumps->id.ICNTL(19),NULL);CHKERRQ(ierr);
1326   if (mumps->id.ICNTL(19) <= 0 || mumps->id.ICNTL(19) > 3) { /* reset any schur data (if any) */
1327     ierr = MatDestroy(&F->schur);CHKERRQ(ierr);
1328     ierr = MatMumpsResetSchur_Private(mumps);CHKERRQ(ierr);
1329   }
1330   /* 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 */
1331   /* 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 */
1332 
1333   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);
1334   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);
1335   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);
1336   if (mumps->id.ICNTL(24)) {
1337     mumps->id.ICNTL(13) = 1; /* turn-off ScaLAPACK to help with the correct detection of null pivots */
1338   }
1339 
1340   ierr = PetscOptionsInt("-mat_mumps_icntl_25","ICNTL(25): computes a solution of a deficient matrix and a null space basis","None",mumps->id.ICNTL(25),&mumps->id.ICNTL(25),NULL);CHKERRQ(ierr);
1341   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);
1342   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);
1343   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);
1344   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);
1345   /* 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); */ /* call MatMumpsGetInverse() directly */
1346   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);
1347   /* 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 */
1348   ierr = PetscOptionsInt("-mat_mumps_icntl_33","ICNTL(33): compute determinant","None",mumps->id.ICNTL(33),&mumps->id.ICNTL(33),NULL);CHKERRQ(ierr);
1349   ierr = PetscOptionsInt("-mat_mumps_icntl_35","ICNTL(35): activates Block Lock Rank (BLR) based factorization","None",mumps->id.ICNTL(35),&mumps->id.ICNTL(35),NULL);CHKERRQ(ierr);
1350 
1351   ierr = PetscOptionsReal("-mat_mumps_cntl_1","CNTL(1): relative pivoting threshold","None",mumps->id.CNTL(1),&mumps->id.CNTL(1),NULL);CHKERRQ(ierr);
1352   ierr = PetscOptionsReal("-mat_mumps_cntl_2","CNTL(2): stopping criterion of refinement","None",mumps->id.CNTL(2),&mumps->id.CNTL(2),NULL);CHKERRQ(ierr);
1353   ierr = PetscOptionsReal("-mat_mumps_cntl_3","CNTL(3): absolute pivoting threshold","None",mumps->id.CNTL(3),&mumps->id.CNTL(3),NULL);CHKERRQ(ierr);
1354   ierr = PetscOptionsReal("-mat_mumps_cntl_4","CNTL(4): value for static pivoting","None",mumps->id.CNTL(4),&mumps->id.CNTL(4),NULL);CHKERRQ(ierr);
1355   ierr = PetscOptionsReal("-mat_mumps_cntl_5","CNTL(5): fixation for null pivots","None",mumps->id.CNTL(5),&mumps->id.CNTL(5),NULL);CHKERRQ(ierr);
1356   ierr = PetscOptionsReal("-mat_mumps_cntl_7","CNTL(7): dropping parameter used during BLR","None",mumps->id.CNTL(7),&mumps->id.CNTL(7),NULL);CHKERRQ(ierr);
1357 
1358   ierr = PetscOptionsString("-mat_mumps_ooc_tmpdir", "out of core directory", "None", mumps->id.ooc_tmpdir, mumps->id.ooc_tmpdir, 256, NULL);CHKERRQ(ierr);
1359 
1360   ierr = PetscOptionsIntArray("-mat_mumps_view_info","request INFO local to each processor","",info,&ninfo,NULL);CHKERRQ(ierr);
1361   if (ninfo) {
1362     if (ninfo > 40) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_USER,"number of INFO %d must <= 40\n",ninfo);
1363     ierr = PetscMalloc1(ninfo,&mumps->info);CHKERRQ(ierr);
1364     mumps->ninfo = ninfo;
1365     for (i=0; i<ninfo; i++) {
1366       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);
1367       else  mumps->info[i] = info[i];
1368     }
1369   }
1370 
1371   ierr = PetscOptionsEnd();CHKERRQ(ierr);
1372   PetscFunctionReturn(0);
1373 }
1374 
1375 PetscErrorCode PetscInitializeMUMPS(Mat A,Mat_MUMPS *mumps)
1376 {
1377   PetscErrorCode ierr;
1378   PetscInt       nthreads=1;
1379 
1380   PetscFunctionBegin;
1381   mumps->petsc_comm = PetscObjectComm((PetscObject)A);
1382   ierr = MPI_Comm_size(mumps->petsc_comm,&mumps->petsc_size);CHKERRQ(ierr);
1383   ierr = MPI_Comm_rank(mumps->petsc_comm,&mumps->myid);CHKERRQ(ierr); /* so that code like "if (!myid)" still works even if mumps_comm is different */
1384 
1385   ierr = PetscOptionsGetInt(NULL,NULL,"-mumps_omp_num_threads",&nthreads,&mumps->use_petsc_omp_support);CHKERRQ(ierr);
1386   if (mumps->use_petsc_omp_support) {
1387 #if defined(PETSC_HAVE_OPENMP_SUPPORT)
1388     ierr = PetscOmpCtrlCreate(mumps->petsc_comm,nthreads,&mumps->omp_ctrl);CHKERRQ(ierr);
1389     ierr = PetscOmpCtrlGetOmpComms(mumps->omp_ctrl,&mumps->omp_comm,&mumps->mumps_comm,&mumps->is_omp_master);CHKERRQ(ierr);
1390 #else
1391     SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP_SYS,"the system does not have PETSc OpenMP support but you added the -mumps_omp_num_threads option\n");
1392 #endif
1393   } else {
1394     mumps->omp_comm      = PETSC_COMM_SELF;
1395     mumps->mumps_comm    = mumps->petsc_comm;
1396     mumps->is_omp_master = PETSC_TRUE;
1397   }
1398   ierr = MPI_Comm_size(mumps->omp_comm,&mumps->omp_comm_size);CHKERRQ(ierr);
1399 
1400   mumps->id.comm_fortran = MPI_Comm_c2f(mumps->mumps_comm);
1401   mumps->id.job = JOB_INIT;
1402   mumps->id.par = 1;  /* host participates factorizaton and solve */
1403   mumps->id.sym = mumps->sym;
1404 
1405   PetscMUMPS_c(mumps);
1406 
1407   /* copy MUMPS default control values from master to slaves. Although slaves do not call MUMPS, they may access these values in code.
1408      For example, ICNTL(9) is initialized to 1 by MUMPS and slaves check ICNTL(9) in MatSolve_MUMPS.
1409    */
1410   ierr = MPI_Bcast(mumps->id.icntl,40,MPIU_INT, 0,mumps->omp_comm);CHKERRQ(ierr); /* see MUMPS-5.1.2 Manual Section 9 */
1411   ierr = MPI_Bcast(mumps->id.cntl, 15,MPIU_REAL,0,mumps->omp_comm);CHKERRQ(ierr);
1412 
1413   mumps->scat_rhs     = NULL;
1414   mumps->scat_sol     = NULL;
1415 
1416   /* set PETSc-MUMPS default options - override MUMPS default */
1417   mumps->id.ICNTL(3) = 0;
1418   mumps->id.ICNTL(4) = 0;
1419   if (mumps->petsc_size == 1) {
1420     mumps->id.ICNTL(18) = 0;   /* centralized assembled matrix input */
1421   } else {
1422     mumps->id.ICNTL(18) = 3;   /* distributed assembled matrix input */
1423     mumps->id.ICNTL(20) = 0;   /* rhs is in dense format */
1424     mumps->id.ICNTL(21) = 1;   /* distributed solution */
1425   }
1426 
1427   /* schur */
1428   mumps->id.size_schur      = 0;
1429   mumps->id.listvar_schur   = NULL;
1430   mumps->id.schur           = NULL;
1431   mumps->sizeredrhs         = 0;
1432   mumps->schur_sol          = NULL;
1433   mumps->schur_sizesol      = 0;
1434   PetscFunctionReturn(0);
1435 }
1436 
1437 PetscErrorCode MatFactorSymbolic_MUMPS_ReportIfError(Mat F,Mat A,const MatFactorInfo *info,Mat_MUMPS *mumps)
1438 {
1439   PetscErrorCode ierr;
1440 
1441   PetscFunctionBegin;
1442   ierr = MPI_Bcast(mumps->id.infog, 40,MPIU_INT, 0,mumps->omp_comm);CHKERRQ(ierr); /* see MUMPS-5.1.2 manual p82 */
1443   ierr = MPI_Bcast(mumps->id.rinfog,20,MPIU_REAL,0,mumps->omp_comm);CHKERRQ(ierr);
1444   if (mumps->id.INFOG(1) < 0) {
1445     if (A->erroriffailure) {
1446       SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error reported by MUMPS in analysis phase: INFOG(1)=%d\n",mumps->id.INFOG(1));
1447     } else {
1448       if (mumps->id.INFOG(1) == -6) {
1449         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);
1450         F->factorerrortype = MAT_FACTOR_STRUCT_ZEROPIVOT;
1451       } else if (mumps->id.INFOG(1) == -5 || mumps->id.INFOG(1) == -7) {
1452         ierr = PetscInfo2(F,"problem of workspace, INFOG(1)=%d, INFO(2)=%d\n",mumps->id.INFOG(1),mumps->id.INFO(2));CHKERRQ(ierr);
1453         F->factorerrortype = MAT_FACTOR_OUTMEMORY;
1454       } else {
1455         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);
1456         F->factorerrortype = MAT_FACTOR_OTHER;
1457       }
1458     }
1459   }
1460   PetscFunctionReturn(0);
1461 }
1462 
1463 /* Note Petsc r(=c) permutation is used when mumps->id.ICNTL(7)==1 with centralized assembled matrix input; otherwise r and c are ignored */
1464 PetscErrorCode MatLUFactorSymbolic_AIJMUMPS(Mat F,Mat A,IS r,IS c,const MatFactorInfo *info)
1465 {
1466   Mat_MUMPS      *mumps = (Mat_MUMPS*)F->data;
1467   PetscErrorCode ierr;
1468   Vec            b;
1469   IS             is_iden;
1470   const PetscInt M = A->rmap->N;
1471 
1472   PetscFunctionBegin;
1473   mumps->matstruc = DIFFERENT_NONZERO_PATTERN;
1474 
1475   /* Set MUMPS options from the options database */
1476   ierr = PetscSetMUMPSFromOptions(F,A);CHKERRQ(ierr);
1477 
1478   ierr = (*mumps->ConvertToTriples)(A, 1, MAT_INITIAL_MATRIX, &mumps->nz, &mumps->irn, &mumps->jcn, &mumps->val);CHKERRQ(ierr);
1479   ierr = MatMumpsGatherNonzerosOnMaster(MAT_INITIAL_MATRIX,mumps);CHKERRQ(ierr);
1480 
1481   /* analysis phase */
1482   /*----------------*/
1483   mumps->id.job = JOB_FACTSYMBOLIC;
1484   mumps->id.n   = M;
1485   switch (mumps->id.ICNTL(18)) {
1486   case 0:  /* centralized assembled matrix input */
1487     if (!mumps->myid) {
1488       mumps->id.nz =mumps->nz; mumps->id.irn=mumps->irn; mumps->id.jcn=mumps->jcn;
1489       if (mumps->id.ICNTL(6)>1) {
1490         mumps->id.a = (MumpsScalar*)mumps->val;
1491       }
1492       if (mumps->id.ICNTL(7) == 1) { /* use user-provide matrix ordering - assuming r = c ordering */
1493         /*
1494         PetscBool      flag;
1495         ierr = ISEqual(r,c,&flag);CHKERRQ(ierr);
1496         if (!flag) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_USER,"row_perm != col_perm");
1497         ierr = ISView(r,PETSC_VIEWER_STDOUT_SELF);
1498          */
1499         if (!mumps->myid) {
1500           const PetscInt *idx;
1501           PetscInt       i,*perm_in;
1502 
1503           ierr = PetscMalloc1(M,&perm_in);CHKERRQ(ierr);
1504           ierr = ISGetIndices(r,&idx);CHKERRQ(ierr);
1505 
1506           mumps->id.perm_in = perm_in;
1507           for (i=0; i<M; i++) perm_in[i] = idx[i]+1; /* perm_in[]: start from 1, not 0! */
1508           ierr = ISRestoreIndices(r,&idx);CHKERRQ(ierr);
1509         }
1510       }
1511     }
1512     break;
1513   case 3:  /* distributed assembled matrix input (size>1) */
1514     mumps->id.nz_loc = mumps->nz;
1515     mumps->id.irn_loc=mumps->irn; mumps->id.jcn_loc=mumps->jcn;
1516     if (mumps->id.ICNTL(6)>1) {
1517       mumps->id.a_loc = (MumpsScalar*)mumps->val;
1518     }
1519     /* MUMPS only supports centralized rhs. Create scatter scat_rhs for repeated use in MatSolve() */
1520     if (!mumps->myid) {
1521       ierr = VecCreateSeq(PETSC_COMM_SELF,A->rmap->N,&mumps->b_seq);CHKERRQ(ierr);
1522       ierr = ISCreateStride(PETSC_COMM_SELF,A->rmap->N,0,1,&is_iden);CHKERRQ(ierr);
1523     } else {
1524       ierr = VecCreateSeq(PETSC_COMM_SELF,0,&mumps->b_seq);CHKERRQ(ierr);
1525       ierr = ISCreateStride(PETSC_COMM_SELF,0,0,1,&is_iden);CHKERRQ(ierr);
1526     }
1527     ierr = MatCreateVecs(A,NULL,&b);CHKERRQ(ierr);
1528     ierr = VecScatterCreate(b,is_iden,mumps->b_seq,is_iden,&mumps->scat_rhs);CHKERRQ(ierr);
1529     ierr = ISDestroy(&is_iden);CHKERRQ(ierr);
1530     ierr = VecDestroy(&b);CHKERRQ(ierr);
1531     break;
1532   }
1533   PetscMUMPS_c(mumps);
1534   ierr = MatFactorSymbolic_MUMPS_ReportIfError(F,A,info,mumps);CHKERRQ(ierr);
1535 
1536   F->ops->lufactornumeric = MatFactorNumeric_MUMPS;
1537   F->ops->solve           = MatSolve_MUMPS;
1538   F->ops->solvetranspose  = MatSolveTranspose_MUMPS;
1539   F->ops->matsolve        = MatMatSolve_MUMPS;
1540   F->ops->mattransposesolve = MatMatTransposeSolve_MUMPS;
1541   PetscFunctionReturn(0);
1542 }
1543 
1544 /* Note the Petsc r and c permutations are ignored */
1545 PetscErrorCode MatLUFactorSymbolic_BAIJMUMPS(Mat F,Mat A,IS r,IS c,const MatFactorInfo *info)
1546 {
1547   Mat_MUMPS      *mumps = (Mat_MUMPS*)F->data;
1548   PetscErrorCode ierr;
1549   Vec            b;
1550   IS             is_iden;
1551   const PetscInt M = A->rmap->N;
1552 
1553   PetscFunctionBegin;
1554   mumps->matstruc = DIFFERENT_NONZERO_PATTERN;
1555 
1556   /* Set MUMPS options from the options database */
1557   ierr = PetscSetMUMPSFromOptions(F,A);CHKERRQ(ierr);
1558 
1559   ierr = (*mumps->ConvertToTriples)(A, 1, MAT_INITIAL_MATRIX, &mumps->nz, &mumps->irn, &mumps->jcn, &mumps->val);CHKERRQ(ierr);
1560   ierr = MatMumpsGatherNonzerosOnMaster(MAT_INITIAL_MATRIX,mumps);CHKERRQ(ierr);
1561 
1562   /* analysis phase */
1563   /*----------------*/
1564   mumps->id.job = JOB_FACTSYMBOLIC;
1565   mumps->id.n   = M;
1566   switch (mumps->id.ICNTL(18)) {
1567   case 0:  /* centralized assembled matrix input */
1568     if (!mumps->myid) {
1569       mumps->id.nz =mumps->nz; mumps->id.irn=mumps->irn; mumps->id.jcn=mumps->jcn;
1570       if (mumps->id.ICNTL(6)>1) {
1571         mumps->id.a = (MumpsScalar*)mumps->val;
1572       }
1573     }
1574     break;
1575   case 3:  /* distributed assembled matrix input (size>1) */
1576     mumps->id.nz_loc = mumps->nz;
1577     mumps->id.irn_loc=mumps->irn; mumps->id.jcn_loc=mumps->jcn;
1578     if (mumps->id.ICNTL(6)>1) {
1579       mumps->id.a_loc = (MumpsScalar*)mumps->val;
1580     }
1581     /* MUMPS only supports centralized rhs. Create scatter scat_rhs for repeated use in MatSolve() */
1582     if (!mumps->myid) {
1583       ierr = VecCreateSeq(PETSC_COMM_SELF,A->cmap->N,&mumps->b_seq);CHKERRQ(ierr);
1584       ierr = ISCreateStride(PETSC_COMM_SELF,A->cmap->N,0,1,&is_iden);CHKERRQ(ierr);
1585     } else {
1586       ierr = VecCreateSeq(PETSC_COMM_SELF,0,&mumps->b_seq);CHKERRQ(ierr);
1587       ierr = ISCreateStride(PETSC_COMM_SELF,0,0,1,&is_iden);CHKERRQ(ierr);
1588     }
1589     ierr = MatCreateVecs(A,NULL,&b);CHKERRQ(ierr);
1590     ierr = VecScatterCreate(b,is_iden,mumps->b_seq,is_iden,&mumps->scat_rhs);CHKERRQ(ierr);
1591     ierr = ISDestroy(&is_iden);CHKERRQ(ierr);
1592     ierr = VecDestroy(&b);CHKERRQ(ierr);
1593     break;
1594   }
1595   PetscMUMPS_c(mumps);
1596   ierr = MatFactorSymbolic_MUMPS_ReportIfError(F,A,info,mumps);CHKERRQ(ierr);
1597 
1598   F->ops->lufactornumeric = MatFactorNumeric_MUMPS;
1599   F->ops->solve           = MatSolve_MUMPS;
1600   F->ops->solvetranspose  = MatSolveTranspose_MUMPS;
1601   PetscFunctionReturn(0);
1602 }
1603 
1604 /* Note the Petsc r permutation and factor info are ignored */
1605 PetscErrorCode MatCholeskyFactorSymbolic_MUMPS(Mat F,Mat A,IS r,const MatFactorInfo *info)
1606 {
1607   Mat_MUMPS      *mumps = (Mat_MUMPS*)F->data;
1608   PetscErrorCode ierr;
1609   Vec            b;
1610   IS             is_iden;
1611   const PetscInt M = A->rmap->N;
1612 
1613   PetscFunctionBegin;
1614   mumps->matstruc = DIFFERENT_NONZERO_PATTERN;
1615 
1616   /* Set MUMPS options from the options database */
1617   ierr = PetscSetMUMPSFromOptions(F,A);CHKERRQ(ierr);
1618 
1619   ierr = (*mumps->ConvertToTriples)(A, 1, MAT_INITIAL_MATRIX, &mumps->nz, &mumps->irn, &mumps->jcn, &mumps->val);CHKERRQ(ierr);
1620   ierr = MatMumpsGatherNonzerosOnMaster(MAT_INITIAL_MATRIX,mumps);CHKERRQ(ierr);
1621 
1622   /* analysis phase */
1623   /*----------------*/
1624   mumps->id.job = JOB_FACTSYMBOLIC;
1625   mumps->id.n   = M;
1626   switch (mumps->id.ICNTL(18)) {
1627   case 0:  /* centralized assembled matrix input */
1628     if (!mumps->myid) {
1629       mumps->id.nz =mumps->nz; mumps->id.irn=mumps->irn; mumps->id.jcn=mumps->jcn;
1630       if (mumps->id.ICNTL(6)>1) {
1631         mumps->id.a = (MumpsScalar*)mumps->val;
1632       }
1633     }
1634     break;
1635   case 3:  /* distributed assembled matrix input (size>1) */
1636     mumps->id.nz_loc = mumps->nz;
1637     mumps->id.irn_loc=mumps->irn; mumps->id.jcn_loc=mumps->jcn;
1638     if (mumps->id.ICNTL(6)>1) {
1639       mumps->id.a_loc = (MumpsScalar*)mumps->val;
1640     }
1641     /* MUMPS only supports centralized rhs. Create scatter scat_rhs for repeated use in MatSolve() */
1642     if (!mumps->myid) {
1643       ierr = VecCreateSeq(PETSC_COMM_SELF,A->cmap->N,&mumps->b_seq);CHKERRQ(ierr);
1644       ierr = ISCreateStride(PETSC_COMM_SELF,A->cmap->N,0,1,&is_iden);CHKERRQ(ierr);
1645     } else {
1646       ierr = VecCreateSeq(PETSC_COMM_SELF,0,&mumps->b_seq);CHKERRQ(ierr);
1647       ierr = ISCreateStride(PETSC_COMM_SELF,0,0,1,&is_iden);CHKERRQ(ierr);
1648     }
1649     ierr = MatCreateVecs(A,NULL,&b);CHKERRQ(ierr);
1650     ierr = VecScatterCreate(b,is_iden,mumps->b_seq,is_iden,&mumps->scat_rhs);CHKERRQ(ierr);
1651     ierr = ISDestroy(&is_iden);CHKERRQ(ierr);
1652     ierr = VecDestroy(&b);CHKERRQ(ierr);
1653     break;
1654   }
1655   PetscMUMPS_c(mumps);
1656   ierr = MatFactorSymbolic_MUMPS_ReportIfError(F,A,info,mumps);CHKERRQ(ierr);
1657 
1658   F->ops->choleskyfactornumeric = MatFactorNumeric_MUMPS;
1659   F->ops->solve                 = MatSolve_MUMPS;
1660   F->ops->solvetranspose        = MatSolve_MUMPS;
1661   F->ops->matsolve              = MatMatSolve_MUMPS;
1662 #if defined(PETSC_USE_COMPLEX)
1663   F->ops->getinertia = NULL;
1664 #else
1665   F->ops->getinertia = MatGetInertia_SBAIJMUMPS;
1666 #endif
1667   PetscFunctionReturn(0);
1668 }
1669 
1670 PetscErrorCode MatView_MUMPS(Mat A,PetscViewer viewer)
1671 {
1672   PetscErrorCode    ierr;
1673   PetscBool         iascii;
1674   PetscViewerFormat format;
1675   Mat_MUMPS         *mumps=(Mat_MUMPS*)A->data;
1676 
1677   PetscFunctionBegin;
1678   /* check if matrix is mumps type */
1679   if (A->ops->solve != MatSolve_MUMPS) PetscFunctionReturn(0);
1680 
1681   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&iascii);CHKERRQ(ierr);
1682   if (iascii) {
1683     ierr = PetscViewerGetFormat(viewer,&format);CHKERRQ(ierr);
1684     if (format == PETSC_VIEWER_ASCII_INFO) {
1685       ierr = PetscViewerASCIIPrintf(viewer,"MUMPS run parameters:\n");CHKERRQ(ierr);
1686       ierr = PetscViewerASCIIPrintf(viewer,"  SYM (matrix type):                   %d \n",mumps->id.sym);CHKERRQ(ierr);
1687       ierr = PetscViewerASCIIPrintf(viewer,"  PAR (host participation):            %d \n",mumps->id.par);CHKERRQ(ierr);
1688       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(1) (output for error):         %d \n",mumps->id.ICNTL(1));CHKERRQ(ierr);
1689       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(2) (output of diagnostic msg): %d \n",mumps->id.ICNTL(2));CHKERRQ(ierr);
1690       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(3) (output for global info):   %d \n",mumps->id.ICNTL(3));CHKERRQ(ierr);
1691       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(4) (level of printing):        %d \n",mumps->id.ICNTL(4));CHKERRQ(ierr);
1692       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(5) (input mat struct):         %d \n",mumps->id.ICNTL(5));CHKERRQ(ierr);
1693       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(6) (matrix prescaling):        %d \n",mumps->id.ICNTL(6));CHKERRQ(ierr);
1694       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(7) (sequential matrix ordering):%d \n",mumps->id.ICNTL(7));CHKERRQ(ierr);
1695       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(8) (scaling strategy):        %d \n",mumps->id.ICNTL(8));CHKERRQ(ierr);
1696       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(10) (max num of refinements):  %d \n",mumps->id.ICNTL(10));CHKERRQ(ierr);
1697       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(11) (error analysis):          %d \n",mumps->id.ICNTL(11));CHKERRQ(ierr);
1698       if (mumps->id.ICNTL(11)>0) {
1699         ierr = PetscViewerASCIIPrintf(viewer,"    RINFOG(4) (inf norm of input mat):        %g\n",mumps->id.RINFOG(4));CHKERRQ(ierr);
1700         ierr = PetscViewerASCIIPrintf(viewer,"    RINFOG(5) (inf norm of solution):         %g\n",mumps->id.RINFOG(5));CHKERRQ(ierr);
1701         ierr = PetscViewerASCIIPrintf(viewer,"    RINFOG(6) (inf norm of residual):         %g\n",mumps->id.RINFOG(6));CHKERRQ(ierr);
1702         ierr = PetscViewerASCIIPrintf(viewer,"    RINFOG(7),RINFOG(8) (backward error est): %g, %g\n",mumps->id.RINFOG(7),mumps->id.RINFOG(8));CHKERRQ(ierr);
1703         ierr = PetscViewerASCIIPrintf(viewer,"    RINFOG(9) (error estimate):               %g \n",mumps->id.RINFOG(9));CHKERRQ(ierr);
1704         ierr = PetscViewerASCIIPrintf(viewer,"    RINFOG(10),RINFOG(11)(condition numbers): %g, %g\n",mumps->id.RINFOG(10),mumps->id.RINFOG(11));CHKERRQ(ierr);
1705       }
1706       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(12) (efficiency control):                         %d \n",mumps->id.ICNTL(12));CHKERRQ(ierr);
1707       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(13) (efficiency control):                         %d \n",mumps->id.ICNTL(13));CHKERRQ(ierr);
1708       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(14) (percentage of estimated workspace increase): %d \n",mumps->id.ICNTL(14));CHKERRQ(ierr);
1709       /* ICNTL(15-17) not used */
1710       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(18) (input mat struct):                           %d \n",mumps->id.ICNTL(18));CHKERRQ(ierr);
1711       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(19) (Schur complement info):                      %d \n",mumps->id.ICNTL(19));CHKERRQ(ierr);
1712       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(20) (rhs sparse pattern):                         %d \n",mumps->id.ICNTL(20));CHKERRQ(ierr);
1713       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(21) (solution struct):                            %d \n",mumps->id.ICNTL(21));CHKERRQ(ierr);
1714       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(22) (in-core/out-of-core facility):               %d \n",mumps->id.ICNTL(22));CHKERRQ(ierr);
1715       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(23) (max size of memory can be allocated locally):%d \n",mumps->id.ICNTL(23));CHKERRQ(ierr);
1716 
1717       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(24) (detection of null pivot rows):               %d \n",mumps->id.ICNTL(24));CHKERRQ(ierr);
1718       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(25) (computation of a null space basis):          %d \n",mumps->id.ICNTL(25));CHKERRQ(ierr);
1719       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(26) (Schur options for rhs or solution):          %d \n",mumps->id.ICNTL(26));CHKERRQ(ierr);
1720       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(27) (experimental parameter):                     %d \n",mumps->id.ICNTL(27));CHKERRQ(ierr);
1721       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(28) (use parallel or sequential ordering):        %d \n",mumps->id.ICNTL(28));CHKERRQ(ierr);
1722       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(29) (parallel ordering):                          %d \n",mumps->id.ICNTL(29));CHKERRQ(ierr);
1723 
1724       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(30) (user-specified set of entries in inv(A)):    %d \n",mumps->id.ICNTL(30));CHKERRQ(ierr);
1725       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(31) (factors is discarded in the solve phase):    %d \n",mumps->id.ICNTL(31));CHKERRQ(ierr);
1726       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(33) (compute determinant):                        %d \n",mumps->id.ICNTL(33));CHKERRQ(ierr);
1727       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(35) (activate BLR based factorization):           %d \n",mumps->id.ICNTL(35));CHKERRQ(ierr);
1728 
1729       ierr = PetscViewerASCIIPrintf(viewer,"  CNTL(1) (relative pivoting threshold):      %g \n",mumps->id.CNTL(1));CHKERRQ(ierr);
1730       ierr = PetscViewerASCIIPrintf(viewer,"  CNTL(2) (stopping criterion of refinement): %g \n",mumps->id.CNTL(2));CHKERRQ(ierr);
1731       ierr = PetscViewerASCIIPrintf(viewer,"  CNTL(3) (absolute pivoting threshold):      %g \n",mumps->id.CNTL(3));CHKERRQ(ierr);
1732       ierr = PetscViewerASCIIPrintf(viewer,"  CNTL(4) (value of static pivoting):         %g \n",mumps->id.CNTL(4));CHKERRQ(ierr);
1733       ierr = PetscViewerASCIIPrintf(viewer,"  CNTL(5) (fixation for null pivots):         %g \n",mumps->id.CNTL(5));CHKERRQ(ierr);
1734       ierr = PetscViewerASCIIPrintf(viewer,"  CNTL(7) (dropping parameter for BLR):       %g \n",mumps->id.CNTL(7));CHKERRQ(ierr);
1735 
1736       /* infomation local to each processor */
1737       ierr = PetscViewerASCIIPrintf(viewer, "  RINFO(1) (local estimated flops for the elimination after analysis): \n");CHKERRQ(ierr);
1738       ierr = PetscViewerASCIIPushSynchronized(viewer);CHKERRQ(ierr);
1739       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"    [%d] %g \n",mumps->myid,mumps->id.RINFO(1));CHKERRQ(ierr);
1740       ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
1741       ierr = PetscViewerASCIIPrintf(viewer, "  RINFO(2) (local estimated flops for the assembly after factorization): \n");CHKERRQ(ierr);
1742       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"    [%d]  %g \n",mumps->myid,mumps->id.RINFO(2));CHKERRQ(ierr);
1743       ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
1744       ierr = PetscViewerASCIIPrintf(viewer, "  RINFO(3) (local estimated flops for the elimination after factorization): \n");CHKERRQ(ierr);
1745       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"    [%d]  %g \n",mumps->myid,mumps->id.RINFO(3));CHKERRQ(ierr);
1746       ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
1747 
1748       ierr = PetscViewerASCIIPrintf(viewer, "  INFO(15) (estimated size of (in MB) MUMPS internal data for running numerical factorization): \n");CHKERRQ(ierr);
1749       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"  [%d] %d \n",mumps->myid,mumps->id.INFO(15));CHKERRQ(ierr);
1750       ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
1751 
1752       ierr = PetscViewerASCIIPrintf(viewer, "  INFO(16) (size of (in MB) MUMPS internal data used during numerical factorization): \n");CHKERRQ(ierr);
1753       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"    [%d] %d \n",mumps->myid,mumps->id.INFO(16));CHKERRQ(ierr);
1754       ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
1755 
1756       ierr = PetscViewerASCIIPrintf(viewer, "  INFO(23) (num of pivots eliminated on this processor after factorization): \n");CHKERRQ(ierr);
1757       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"    [%d] %d \n",mumps->myid,mumps->id.INFO(23));CHKERRQ(ierr);
1758       ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
1759 
1760       if (mumps->ninfo && mumps->ninfo <= 40){
1761         PetscInt i;
1762         for (i=0; i<mumps->ninfo; i++){
1763           ierr = PetscViewerASCIIPrintf(viewer, "  INFO(%d): \n",mumps->info[i]);CHKERRQ(ierr);
1764           ierr = PetscViewerASCIISynchronizedPrintf(viewer,"    [%d] %d \n",mumps->myid,mumps->id.INFO(mumps->info[i]));CHKERRQ(ierr);
1765           ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
1766         }
1767       }
1768       ierr = PetscViewerASCIIPopSynchronized(viewer);CHKERRQ(ierr);
1769 
1770       if (!mumps->myid) { /* information from the host */
1771         ierr = PetscViewerASCIIPrintf(viewer,"  RINFOG(1) (global estimated flops for the elimination after analysis): %g \n",mumps->id.RINFOG(1));CHKERRQ(ierr);
1772         ierr = PetscViewerASCIIPrintf(viewer,"  RINFOG(2) (global estimated flops for the assembly after factorization): %g \n",mumps->id.RINFOG(2));CHKERRQ(ierr);
1773         ierr = PetscViewerASCIIPrintf(viewer,"  RINFOG(3) (global estimated flops for the elimination after factorization): %g \n",mumps->id.RINFOG(3));CHKERRQ(ierr);
1774         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);
1775 
1776         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(3) (estimated real workspace for factors on all processors after analysis): %d \n",mumps->id.INFOG(3));CHKERRQ(ierr);
1777         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(4) (estimated integer workspace for factors on all processors after analysis): %d \n",mumps->id.INFOG(4));CHKERRQ(ierr);
1778         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(5) (estimated maximum front size in the complete tree): %d \n",mumps->id.INFOG(5));CHKERRQ(ierr);
1779         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(6) (number of nodes in the complete tree): %d \n",mumps->id.INFOG(6));CHKERRQ(ierr);
1780         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(7) (ordering option effectively use after analysis): %d \n",mumps->id.INFOG(7));CHKERRQ(ierr);
1781         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(8) (structural symmetry in percent of the permuted matrix after analysis): %d \n",mumps->id.INFOG(8));CHKERRQ(ierr);
1782         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(9) (total real/complex workspace to store the matrix factors after factorization): %d \n",mumps->id.INFOG(9));CHKERRQ(ierr);
1783         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(10) (total integer space store the matrix factors after factorization): %d \n",mumps->id.INFOG(10));CHKERRQ(ierr);
1784         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(11) (order of largest frontal matrix after factorization): %d \n",mumps->id.INFOG(11));CHKERRQ(ierr);
1785         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(12) (number of off-diagonal pivots): %d \n",mumps->id.INFOG(12));CHKERRQ(ierr);
1786         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(13) (number of delayed pivots after factorization): %d \n",mumps->id.INFOG(13));CHKERRQ(ierr);
1787         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(14) (number of memory compress after factorization): %d \n",mumps->id.INFOG(14));CHKERRQ(ierr);
1788         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(15) (number of steps of iterative refinement after solution): %d \n",mumps->id.INFOG(15));CHKERRQ(ierr);
1789         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);
1790         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);
1791         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);
1792         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);
1793         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(20) (estimated number of entries in the factors): %d \n",mumps->id.INFOG(20));CHKERRQ(ierr);
1794         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);
1795         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);
1796         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(23) (after analysis: value of ICNTL(6) effectively used): %d \n",mumps->id.INFOG(23));CHKERRQ(ierr);
1797         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(24) (after analysis: value of ICNTL(12) effectively used): %d \n",mumps->id.INFOG(24));CHKERRQ(ierr);
1798         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(25) (after factorization: number of pivots modified by static pivoting): %d \n",mumps->id.INFOG(25));CHKERRQ(ierr);
1799         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(28) (after factorization: number of null pivots encountered): %d\n",mumps->id.INFOG(28));CHKERRQ(ierr);
1800         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);
1801         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);
1802         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(32) (after analysis: type of analysis done): %d\n",mumps->id.INFOG(32));CHKERRQ(ierr);
1803         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(33) (value used for ICNTL(8)): %d\n",mumps->id.INFOG(33));CHKERRQ(ierr);
1804         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(34) (exponent of the determinant if determinant is requested): %d\n",mumps->id.INFOG(34));CHKERRQ(ierr);
1805       }
1806     }
1807   }
1808   PetscFunctionReturn(0);
1809 }
1810 
1811 PetscErrorCode MatGetInfo_MUMPS(Mat A,MatInfoType flag,MatInfo *info)
1812 {
1813   Mat_MUMPS *mumps =(Mat_MUMPS*)A->data;
1814 
1815   PetscFunctionBegin;
1816   info->block_size        = 1.0;
1817   info->nz_allocated      = mumps->id.INFOG(20);
1818   info->nz_used           = mumps->id.INFOG(20);
1819   info->nz_unneeded       = 0.0;
1820   info->assemblies        = 0.0;
1821   info->mallocs           = 0.0;
1822   info->memory            = 0.0;
1823   info->fill_ratio_given  = 0;
1824   info->fill_ratio_needed = 0;
1825   info->factor_mallocs    = 0;
1826   PetscFunctionReturn(0);
1827 }
1828 
1829 /* -------------------------------------------------------------------------------------------*/
1830 PetscErrorCode MatFactorSetSchurIS_MUMPS(Mat F, IS is)
1831 {
1832   Mat_MUMPS      *mumps =(Mat_MUMPS*)F->data;
1833   const PetscInt *idxs;
1834   PetscInt       size,i;
1835   PetscErrorCode ierr;
1836 
1837   PetscFunctionBegin;
1838   ierr = ISGetLocalSize(is,&size);CHKERRQ(ierr);
1839   if (mumps->petsc_size > 1) {
1840     PetscBool ls,gs; /* gs is false if any rank other than root has non-empty IS */
1841 
1842     ls   = mumps->myid ? (size ? PETSC_FALSE : PETSC_TRUE) : PETSC_TRUE; /* always true on root; false on others if their size != 0 */
1843     ierr = MPI_Allreduce(&ls,&gs,1,MPIU_BOOL,MPI_LAND,mumps->petsc_comm);CHKERRQ(ierr);
1844     if (!gs) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"MUMPS distributed parallel Schur complements not yet supported from PETSc\n");
1845   }
1846   if (mumps->id.size_schur != size) {
1847     ierr = PetscFree2(mumps->id.listvar_schur,mumps->id.schur);CHKERRQ(ierr);
1848     mumps->id.size_schur = size;
1849     mumps->id.schur_lld  = size;
1850     ierr = PetscMalloc2(size,&mumps->id.listvar_schur,size*size,&mumps->id.schur);CHKERRQ(ierr);
1851   }
1852 
1853   /* Schur complement matrix */
1854   ierr = MatCreateSeqDense(PETSC_COMM_SELF,mumps->id.size_schur,mumps->id.size_schur,(PetscScalar*)mumps->id.schur,&F->schur);CHKERRQ(ierr);
1855   if (mumps->sym == 1) {
1856     ierr = MatSetOption(F->schur,MAT_SPD,PETSC_TRUE);CHKERRQ(ierr);
1857   }
1858 
1859   /* MUMPS expects Fortran style indices */
1860   ierr = ISGetIndices(is,&idxs);CHKERRQ(ierr);
1861   ierr = PetscMemcpy(mumps->id.listvar_schur,idxs,size*sizeof(PetscInt));CHKERRQ(ierr);
1862   for (i=0;i<size;i++) mumps->id.listvar_schur[i]++;
1863   ierr = ISRestoreIndices(is,&idxs);CHKERRQ(ierr);
1864   if (mumps->petsc_size > 1) {
1865     mumps->id.ICNTL(19) = 1; /* MUMPS returns Schur centralized on the host */
1866   } else {
1867     if (F->factortype == MAT_FACTOR_LU) {
1868       mumps->id.ICNTL(19) = 3; /* MUMPS returns full matrix */
1869     } else {
1870       mumps->id.ICNTL(19) = 2; /* MUMPS returns lower triangular part */
1871     }
1872   }
1873   /* set a special value of ICNTL (not handled my MUMPS) to be used in the solve phase by PETSc */
1874   mumps->id.ICNTL(26) = -1;
1875   PetscFunctionReturn(0);
1876 }
1877 
1878 /* -------------------------------------------------------------------------------------------*/
1879 PetscErrorCode MatFactorCreateSchurComplement_MUMPS(Mat F,Mat* S)
1880 {
1881   Mat            St;
1882   Mat_MUMPS      *mumps =(Mat_MUMPS*)F->data;
1883   PetscScalar    *array;
1884 #if defined(PETSC_USE_COMPLEX)
1885   PetscScalar    im = PetscSqrtScalar((PetscScalar)-1.0);
1886 #endif
1887   PetscErrorCode ierr;
1888 
1889   PetscFunctionBegin;
1890   if (!mumps->id.ICNTL(19)) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur complement mode not selected! You should call MatFactorSetSchurIS to enable it");
1891   ierr = MatCreate(PETSC_COMM_SELF,&St);CHKERRQ(ierr);
1892   ierr = MatSetSizes(St,PETSC_DECIDE,PETSC_DECIDE,mumps->id.size_schur,mumps->id.size_schur);CHKERRQ(ierr);
1893   ierr = MatSetType(St,MATDENSE);CHKERRQ(ierr);
1894   ierr = MatSetUp(St);CHKERRQ(ierr);
1895   ierr = MatDenseGetArray(St,&array);CHKERRQ(ierr);
1896   if (!mumps->sym) { /* MUMPS always return a full matrix */
1897     if (mumps->id.ICNTL(19) == 1) { /* stored by rows */
1898       PetscInt i,j,N=mumps->id.size_schur;
1899       for (i=0;i<N;i++) {
1900         for (j=0;j<N;j++) {
1901 #if !defined(PETSC_USE_COMPLEX)
1902           PetscScalar val = mumps->id.schur[i*N+j];
1903 #else
1904           PetscScalar val = mumps->id.schur[i*N+j].r + im*mumps->id.schur[i*N+j].i;
1905 #endif
1906           array[j*N+i] = val;
1907         }
1908       }
1909     } else { /* stored by columns */
1910       ierr = PetscMemcpy(array,mumps->id.schur,mumps->id.size_schur*mumps->id.size_schur*sizeof(PetscScalar));CHKERRQ(ierr);
1911     }
1912   } else { /* either full or lower-triangular (not packed) */
1913     if (mumps->id.ICNTL(19) == 2) { /* lower triangular stored by columns */
1914       PetscInt i,j,N=mumps->id.size_schur;
1915       for (i=0;i<N;i++) {
1916         for (j=i;j<N;j++) {
1917 #if !defined(PETSC_USE_COMPLEX)
1918           PetscScalar val = mumps->id.schur[i*N+j];
1919 #else
1920           PetscScalar val = mumps->id.schur[i*N+j].r + im*mumps->id.schur[i*N+j].i;
1921 #endif
1922           array[i*N+j] = val;
1923           array[j*N+i] = val;
1924         }
1925       }
1926     } else if (mumps->id.ICNTL(19) == 3) { /* full matrix */
1927       ierr = PetscMemcpy(array,mumps->id.schur,mumps->id.size_schur*mumps->id.size_schur*sizeof(PetscScalar));CHKERRQ(ierr);
1928     } else { /* ICNTL(19) == 1 lower triangular stored by rows */
1929       PetscInt i,j,N=mumps->id.size_schur;
1930       for (i=0;i<N;i++) {
1931         for (j=0;j<i+1;j++) {
1932 #if !defined(PETSC_USE_COMPLEX)
1933           PetscScalar val = mumps->id.schur[i*N+j];
1934 #else
1935           PetscScalar val = mumps->id.schur[i*N+j].r + im*mumps->id.schur[i*N+j].i;
1936 #endif
1937           array[i*N+j] = val;
1938           array[j*N+i] = val;
1939         }
1940       }
1941     }
1942   }
1943   ierr = MatDenseRestoreArray(St,&array);CHKERRQ(ierr);
1944   *S   = St;
1945   PetscFunctionReturn(0);
1946 }
1947 
1948 /* -------------------------------------------------------------------------------------------*/
1949 PetscErrorCode MatMumpsSetIcntl_MUMPS(Mat F,PetscInt icntl,PetscInt ival)
1950 {
1951   Mat_MUMPS *mumps =(Mat_MUMPS*)F->data;
1952 
1953   PetscFunctionBegin;
1954   mumps->id.ICNTL(icntl) = ival;
1955   PetscFunctionReturn(0);
1956 }
1957 
1958 PetscErrorCode MatMumpsGetIcntl_MUMPS(Mat F,PetscInt icntl,PetscInt *ival)
1959 {
1960   Mat_MUMPS *mumps =(Mat_MUMPS*)F->data;
1961 
1962   PetscFunctionBegin;
1963   *ival = mumps->id.ICNTL(icntl);
1964   PetscFunctionReturn(0);
1965 }
1966 
1967 /*@
1968   MatMumpsSetIcntl - Set MUMPS parameter ICNTL()
1969 
1970    Logically Collective on Mat
1971 
1972    Input Parameters:
1973 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
1974 .  icntl - index of MUMPS parameter array ICNTL()
1975 -  ival - value of MUMPS ICNTL(icntl)
1976 
1977   Options Database:
1978 .   -mat_mumps_icntl_<icntl> <ival>
1979 
1980    Level: beginner
1981 
1982    References:
1983 .     MUMPS Users' Guide
1984 
1985 .seealso: MatGetFactor(), MatMumpsSetICntl(), MatMumpsGetIcntl(), MatMumpsSetCntl(), MatMumpsGetCntl(), MatMumpsGetInfo(), MatMumpsGetInfog(), MatMumpsGetRinfo(), MatMumpsGetRinfog()
1986  @*/
1987 PetscErrorCode MatMumpsSetIcntl(Mat F,PetscInt icntl,PetscInt ival)
1988 {
1989   PetscErrorCode ierr;
1990 
1991   PetscFunctionBegin;
1992   PetscValidType(F,1);
1993   if (!F->factortype) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ARG_WRONGSTATE,"Only for factored matrix");
1994   PetscValidLogicalCollectiveInt(F,icntl,2);
1995   PetscValidLogicalCollectiveInt(F,ival,3);
1996   ierr = PetscTryMethod(F,"MatMumpsSetIcntl_C",(Mat,PetscInt,PetscInt),(F,icntl,ival));CHKERRQ(ierr);
1997   PetscFunctionReturn(0);
1998 }
1999 
2000 /*@
2001   MatMumpsGetIcntl - Get MUMPS parameter ICNTL()
2002 
2003    Logically Collective on Mat
2004 
2005    Input Parameters:
2006 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
2007 -  icntl - index of MUMPS parameter array ICNTL()
2008 
2009   Output Parameter:
2010 .  ival - value of MUMPS ICNTL(icntl)
2011 
2012    Level: beginner
2013 
2014    References:
2015 .     MUMPS Users' Guide
2016 
2017 .seealso: MatGetFactor(), MatMumpsSetICntl(), MatMumpsGetIcntl(), MatMumpsSetCntl(), MatMumpsGetCntl(), MatMumpsGetInfo(), MatMumpsGetInfog(), MatMumpsGetRinfo(), MatMumpsGetRinfog()
2018 @*/
2019 PetscErrorCode MatMumpsGetIcntl(Mat F,PetscInt icntl,PetscInt *ival)
2020 {
2021   PetscErrorCode ierr;
2022 
2023   PetscFunctionBegin;
2024   PetscValidType(F,1);
2025   if (!F->factortype) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ARG_WRONGSTATE,"Only for factored matrix");
2026   PetscValidLogicalCollectiveInt(F,icntl,2);
2027   PetscValidIntPointer(ival,3);
2028   ierr = PetscUseMethod(F,"MatMumpsGetIcntl_C",(Mat,PetscInt,PetscInt*),(F,icntl,ival));CHKERRQ(ierr);
2029   PetscFunctionReturn(0);
2030 }
2031 
2032 /* -------------------------------------------------------------------------------------------*/
2033 PetscErrorCode MatMumpsSetCntl_MUMPS(Mat F,PetscInt icntl,PetscReal val)
2034 {
2035   Mat_MUMPS *mumps =(Mat_MUMPS*)F->data;
2036 
2037   PetscFunctionBegin;
2038   mumps->id.CNTL(icntl) = val;
2039   PetscFunctionReturn(0);
2040 }
2041 
2042 PetscErrorCode MatMumpsGetCntl_MUMPS(Mat F,PetscInt icntl,PetscReal *val)
2043 {
2044   Mat_MUMPS *mumps =(Mat_MUMPS*)F->data;
2045 
2046   PetscFunctionBegin;
2047   *val = mumps->id.CNTL(icntl);
2048   PetscFunctionReturn(0);
2049 }
2050 
2051 /*@
2052   MatMumpsSetCntl - Set MUMPS parameter CNTL()
2053 
2054    Logically Collective on Mat
2055 
2056    Input Parameters:
2057 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
2058 .  icntl - index of MUMPS parameter array CNTL()
2059 -  val - value of MUMPS CNTL(icntl)
2060 
2061   Options Database:
2062 .   -mat_mumps_cntl_<icntl> <val>
2063 
2064    Level: beginner
2065 
2066    References:
2067 .     MUMPS Users' Guide
2068 
2069 .seealso: MatGetFactor(), MatMumpsSetICntl(), MatMumpsGetIcntl(), MatMumpsSetCntl(), MatMumpsGetCntl(), MatMumpsGetInfo(), MatMumpsGetInfog(), MatMumpsGetRinfo(), MatMumpsGetRinfog()
2070 @*/
2071 PetscErrorCode MatMumpsSetCntl(Mat F,PetscInt icntl,PetscReal val)
2072 {
2073   PetscErrorCode ierr;
2074 
2075   PetscFunctionBegin;
2076   PetscValidType(F,1);
2077   if (!F->factortype) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ARG_WRONGSTATE,"Only for factored matrix");
2078   PetscValidLogicalCollectiveInt(F,icntl,2);
2079   PetscValidLogicalCollectiveReal(F,val,3);
2080   ierr = PetscTryMethod(F,"MatMumpsSetCntl_C",(Mat,PetscInt,PetscReal),(F,icntl,val));CHKERRQ(ierr);
2081   PetscFunctionReturn(0);
2082 }
2083 
2084 /*@
2085   MatMumpsGetCntl - Get MUMPS parameter CNTL()
2086 
2087    Logically Collective on Mat
2088 
2089    Input Parameters:
2090 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
2091 -  icntl - index of MUMPS parameter array CNTL()
2092 
2093   Output Parameter:
2094 .  val - value of MUMPS CNTL(icntl)
2095 
2096    Level: beginner
2097 
2098    References:
2099 .      MUMPS Users' Guide
2100 
2101 .seealso: MatGetFactor(), MatMumpsSetICntl(), MatMumpsGetIcntl(), MatMumpsSetCntl(), MatMumpsGetCntl(), MatMumpsGetInfo(), MatMumpsGetInfog(), MatMumpsGetRinfo(), MatMumpsGetRinfog()
2102 @*/
2103 PetscErrorCode MatMumpsGetCntl(Mat F,PetscInt icntl,PetscReal *val)
2104 {
2105   PetscErrorCode ierr;
2106 
2107   PetscFunctionBegin;
2108   PetscValidType(F,1);
2109   if (!F->factortype) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ARG_WRONGSTATE,"Only for factored matrix");
2110   PetscValidLogicalCollectiveInt(F,icntl,2);
2111   PetscValidRealPointer(val,3);
2112   ierr = PetscUseMethod(F,"MatMumpsGetCntl_C",(Mat,PetscInt,PetscReal*),(F,icntl,val));CHKERRQ(ierr);
2113   PetscFunctionReturn(0);
2114 }
2115 
2116 PetscErrorCode MatMumpsGetInfo_MUMPS(Mat F,PetscInt icntl,PetscInt *info)
2117 {
2118   Mat_MUMPS *mumps =(Mat_MUMPS*)F->data;
2119 
2120   PetscFunctionBegin;
2121   *info = mumps->id.INFO(icntl);
2122   PetscFunctionReturn(0);
2123 }
2124 
2125 PetscErrorCode MatMumpsGetInfog_MUMPS(Mat F,PetscInt icntl,PetscInt *infog)
2126 {
2127   Mat_MUMPS *mumps =(Mat_MUMPS*)F->data;
2128 
2129   PetscFunctionBegin;
2130   *infog = mumps->id.INFOG(icntl);
2131   PetscFunctionReturn(0);
2132 }
2133 
2134 PetscErrorCode MatMumpsGetRinfo_MUMPS(Mat F,PetscInt icntl,PetscReal *rinfo)
2135 {
2136   Mat_MUMPS *mumps =(Mat_MUMPS*)F->data;
2137 
2138   PetscFunctionBegin;
2139   *rinfo = mumps->id.RINFO(icntl);
2140   PetscFunctionReturn(0);
2141 }
2142 
2143 PetscErrorCode MatMumpsGetRinfog_MUMPS(Mat F,PetscInt icntl,PetscReal *rinfog)
2144 {
2145   Mat_MUMPS *mumps =(Mat_MUMPS*)F->data;
2146 
2147   PetscFunctionBegin;
2148   *rinfog = mumps->id.RINFOG(icntl);
2149   PetscFunctionReturn(0);
2150 }
2151 
2152 PetscErrorCode MatMumpsGetInverse_MUMPS(Mat F,Mat spRHS)
2153 {
2154   PetscErrorCode ierr;
2155   Mat            Bt = NULL,Btseq = NULL;
2156   PetscBool      flg;
2157   Mat_MUMPS      *mumps =(Mat_MUMPS*)F->data;
2158   PetscScalar    *aa;
2159   PetscInt       spnr,*ia,*ja;
2160 
2161   PetscFunctionBegin;
2162   PetscValidIntPointer(spRHS,2);
2163   ierr = PetscObjectTypeCompare((PetscObject)spRHS,MATTRANSPOSEMAT,&flg);CHKERRQ(ierr);
2164   if (flg) {
2165     ierr = MatTransposeGetMat(spRHS,&Bt);CHKERRQ(ierr);
2166   } else SETERRQ(PetscObjectComm((PetscObject)spRHS),PETSC_ERR_ARG_WRONG,"Matrix spRHS must be type MATTRANSPOSEMAT matrix");
2167 
2168   ierr = MatMumpsSetIcntl(F,30,1);CHKERRQ(ierr);
2169 
2170   if (mumps->petsc_size > 1) {
2171     Mat_MPIAIJ *b = (Mat_MPIAIJ*)Bt->data;
2172     Btseq = b->A;
2173   } else {
2174     Btseq = Bt;
2175   }
2176 
2177   if (!mumps->myid) {
2178     ierr = MatSeqAIJGetArray(Btseq,&aa);CHKERRQ(ierr);
2179     ierr = MatGetRowIJ(Btseq,1,PETSC_FALSE,PETSC_FALSE,&spnr,(const PetscInt**)&ia,(const PetscInt**)&ja,&flg);CHKERRQ(ierr);
2180     if (!flg) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"Cannot get IJ structure");
2181 
2182     mumps->id.irhs_ptr    = ia;
2183     mumps->id.irhs_sparse = ja;
2184     mumps->id.nz_rhs      = ia[spnr] - 1;
2185     mumps->id.rhs_sparse  = (MumpsScalar*)aa;
2186   } else {
2187     mumps->id.irhs_ptr    = NULL;
2188     mumps->id.irhs_sparse = NULL;
2189     mumps->id.nz_rhs      = 0;
2190     mumps->id.rhs_sparse  = NULL;
2191   }
2192   mumps->id.ICNTL(20)   = 1; /* rhs is sparse */
2193   mumps->id.ICNTL(21)   = 0; /* solution is in assembled centralized format */
2194 
2195   /* solve phase */
2196   /*-------------*/
2197   mumps->id.job = JOB_SOLVE;
2198   PetscMUMPS_c(mumps);
2199   if (mumps->id.INFOG(1) < 0)
2200     SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error reported by MUMPS in solve phase: INFOG(1)=%d INFO(2)=%d\n",mumps->id.INFOG(1),mumps->id.INFO(2));
2201 
2202   if (!mumps->myid) {
2203     ierr = MatSeqAIJRestoreArray(Btseq,&aa);CHKERRQ(ierr);
2204     ierr = MatRestoreRowIJ(Btseq,1,PETSC_FALSE,PETSC_FALSE,&spnr,(const PetscInt**)&ia,(const PetscInt**)&ja,&flg);CHKERRQ(ierr);
2205     if (!flg) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"Cannot get IJ structure");
2206   }
2207   PetscFunctionReturn(0);
2208 }
2209 
2210 /*@
2211   MatMumpsGetInverse - Get user-specified set of entries in inverse of A
2212 
2213    Logically Collective on Mat
2214 
2215    Input Parameters:
2216 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
2217 -  spRHS - sequential sparse matrix in MATTRANSPOSEMAT format holding specified indices in processor[0]
2218 
2219   Output Parameter:
2220 . spRHS - requested entries of inverse of A
2221 
2222    Level: beginner
2223 
2224    References:
2225 .      MUMPS Users' Guide
2226 
2227 .seealso: MatGetFactor(), MatCreateTranspose()
2228 @*/
2229 PetscErrorCode MatMumpsGetInverse(Mat F,Mat spRHS)
2230 {
2231   PetscErrorCode ierr;
2232 
2233   PetscFunctionBegin;
2234   PetscValidType(F,1);
2235   if (!F->factortype) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ARG_WRONGSTATE,"Only for factored matrix");
2236   ierr = PetscUseMethod(F,"MatMumpsGetInverse_C",(Mat,Mat),(F,spRHS));CHKERRQ(ierr);
2237   PetscFunctionReturn(0);
2238 }
2239 
2240 PetscErrorCode MatMumpsGetInverseTranspose_MUMPS(Mat F,Mat spRHST)
2241 {
2242   PetscErrorCode ierr;
2243   Mat            spRHS;
2244 
2245   PetscFunctionBegin;
2246   ierr = MatCreateTranspose(spRHST,&spRHS);CHKERRQ(ierr);
2247   ierr = MatMumpsGetInverse_MUMPS(F,spRHS);CHKERRQ(ierr);
2248   ierr = MatDestroy(&spRHS);CHKERRQ(ierr);
2249   PetscFunctionReturn(0);
2250 }
2251 
2252 /*@
2253   MatMumpsGetInverseTranspose - Get user-specified set of entries in inverse of matrix A^T
2254 
2255    Logically Collective on Mat
2256 
2257    Input Parameters:
2258 +  F - the factored matrix of A obtained by calling MatGetFactor() from PETSc-MUMPS interface
2259 -  spRHST - sequential sparse matrix in MATAIJ format holding specified indices of A^T in processor[0]
2260 
2261   Output Parameter:
2262 . spRHST - requested entries of inverse of A^T
2263 
2264    Level: beginner
2265 
2266    References:
2267 .      MUMPS Users' Guide
2268 
2269 .seealso: MatGetFactor(), MatCreateTranspose(), MatMumpsGetInverse()
2270 @*/
2271 PetscErrorCode MatMumpsGetInverseTranspose(Mat F,Mat spRHST)
2272 {
2273   PetscErrorCode ierr;
2274   PetscBool      flg;
2275 
2276   PetscFunctionBegin;
2277   PetscValidType(F,1);
2278   if (!F->factortype) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ARG_WRONGSTATE,"Only for factored matrix");
2279   ierr = PetscObjectTypeCompareAny((PetscObject)spRHST,&flg,MATSEQAIJ,MATMPIAIJ,NULL);CHKERRQ(ierr);
2280   if (!flg) SETERRQ(PetscObjectComm((PetscObject)spRHST),PETSC_ERR_ARG_WRONG,"Matrix spRHST must be MATAIJ matrix");
2281 
2282   ierr = PetscUseMethod(F,"MatMumpsGetInverseTranspose_C",(Mat,Mat),(F,spRHST));CHKERRQ(ierr);
2283   PetscFunctionReturn(0);
2284 }
2285 
2286 /*@
2287   MatMumpsGetInfo - Get MUMPS parameter INFO()
2288 
2289    Logically Collective on Mat
2290 
2291    Input Parameters:
2292 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
2293 -  icntl - index of MUMPS parameter array INFO()
2294 
2295   Output Parameter:
2296 .  ival - value of MUMPS INFO(icntl)
2297 
2298    Level: beginner
2299 
2300    References:
2301 .      MUMPS Users' Guide
2302 
2303 .seealso: MatGetFactor(), MatMumpsSetICntl(), MatMumpsGetIcntl(), MatMumpsSetCntl(), MatMumpsGetCntl(), MatMumpsGetInfo(), MatMumpsGetInfog(), MatMumpsGetRinfo(), MatMumpsGetRinfog()
2304 @*/
2305 PetscErrorCode MatMumpsGetInfo(Mat F,PetscInt icntl,PetscInt *ival)
2306 {
2307   PetscErrorCode ierr;
2308 
2309   PetscFunctionBegin;
2310   PetscValidType(F,1);
2311   if (!F->factortype) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ARG_WRONGSTATE,"Only for factored matrix");
2312   PetscValidIntPointer(ival,3);
2313   ierr = PetscUseMethod(F,"MatMumpsGetInfo_C",(Mat,PetscInt,PetscInt*),(F,icntl,ival));CHKERRQ(ierr);
2314   PetscFunctionReturn(0);
2315 }
2316 
2317 /*@
2318   MatMumpsGetInfog - Get MUMPS parameter INFOG()
2319 
2320    Logically Collective on Mat
2321 
2322    Input Parameters:
2323 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
2324 -  icntl - index of MUMPS parameter array INFOG()
2325 
2326   Output Parameter:
2327 .  ival - value of MUMPS INFOG(icntl)
2328 
2329    Level: beginner
2330 
2331    References:
2332 .      MUMPS Users' Guide
2333 
2334 .seealso: MatGetFactor(), MatMumpsSetICntl(), MatMumpsGetIcntl(), MatMumpsSetCntl(), MatMumpsGetCntl(), MatMumpsGetInfo(), MatMumpsGetInfog(), MatMumpsGetRinfo(), MatMumpsGetRinfog()
2335 @*/
2336 PetscErrorCode MatMumpsGetInfog(Mat F,PetscInt icntl,PetscInt *ival)
2337 {
2338   PetscErrorCode ierr;
2339 
2340   PetscFunctionBegin;
2341   PetscValidType(F,1);
2342   if (!F->factortype) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ARG_WRONGSTATE,"Only for factored matrix");
2343   PetscValidIntPointer(ival,3);
2344   ierr = PetscUseMethod(F,"MatMumpsGetInfog_C",(Mat,PetscInt,PetscInt*),(F,icntl,ival));CHKERRQ(ierr);
2345   PetscFunctionReturn(0);
2346 }
2347 
2348 /*@
2349   MatMumpsGetRinfo - Get MUMPS parameter RINFO()
2350 
2351    Logically Collective on Mat
2352 
2353    Input Parameters:
2354 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
2355 -  icntl - index of MUMPS parameter array RINFO()
2356 
2357   Output Parameter:
2358 .  val - value of MUMPS RINFO(icntl)
2359 
2360    Level: beginner
2361 
2362    References:
2363 .       MUMPS Users' Guide
2364 
2365 .seealso: MatGetFactor(), MatMumpsSetICntl(), MatMumpsGetIcntl(), MatMumpsSetCntl(), MatMumpsGetCntl(), MatMumpsGetInfo(), MatMumpsGetInfog(), MatMumpsGetRinfo(), MatMumpsGetRinfog()
2366 @*/
2367 PetscErrorCode MatMumpsGetRinfo(Mat F,PetscInt icntl,PetscReal *val)
2368 {
2369   PetscErrorCode ierr;
2370 
2371   PetscFunctionBegin;
2372   PetscValidType(F,1);
2373   if (!F->factortype) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ARG_WRONGSTATE,"Only for factored matrix");
2374   PetscValidRealPointer(val,3);
2375   ierr = PetscUseMethod(F,"MatMumpsGetRinfo_C",(Mat,PetscInt,PetscReal*),(F,icntl,val));CHKERRQ(ierr);
2376   PetscFunctionReturn(0);
2377 }
2378 
2379 /*@
2380   MatMumpsGetRinfog - Get MUMPS parameter RINFOG()
2381 
2382    Logically Collective on Mat
2383 
2384    Input Parameters:
2385 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
2386 -  icntl - index of MUMPS parameter array RINFOG()
2387 
2388   Output Parameter:
2389 .  val - value of MUMPS RINFOG(icntl)
2390 
2391    Level: beginner
2392 
2393    References:
2394 .      MUMPS Users' Guide
2395 
2396 .seealso: MatGetFactor(), MatMumpsSetICntl(), MatMumpsGetIcntl(), MatMumpsSetCntl(), MatMumpsGetCntl(), MatMumpsGetInfo(), MatMumpsGetInfog(), MatMumpsGetRinfo(), MatMumpsGetRinfog()
2397 @*/
2398 PetscErrorCode MatMumpsGetRinfog(Mat F,PetscInt icntl,PetscReal *val)
2399 {
2400   PetscErrorCode ierr;
2401 
2402   PetscFunctionBegin;
2403   PetscValidType(F,1);
2404   if (!F->factortype) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ARG_WRONGSTATE,"Only for factored matrix");
2405   PetscValidRealPointer(val,3);
2406   ierr = PetscUseMethod(F,"MatMumpsGetRinfog_C",(Mat,PetscInt,PetscReal*),(F,icntl,val));CHKERRQ(ierr);
2407   PetscFunctionReturn(0);
2408 }
2409 
2410 /*MC
2411   MATSOLVERMUMPS -  A matrix type providing direct solvers (LU and Cholesky) for
2412   distributed and sequential matrices via the external package MUMPS.
2413 
2414   Works with MATAIJ and MATSBAIJ matrices
2415 
2416   Use ./configure --download-mumps --download-scalapack --download-parmetis --download-metis --download-ptscotch  to have PETSc installed with MUMPS
2417 
2418   Use -pc_type cholesky or lu -pc_factor_mat_solver_type mumps to use this direct solver
2419 
2420   Options Database Keys:
2421 +  -mat_mumps_icntl_1 - ICNTL(1): output stream for error messages
2422 .  -mat_mumps_icntl_2 - ICNTL(2): output stream for diagnostic printing, statistics, and warning
2423 .  -mat_mumps_icntl_3 -  ICNTL(3): output stream for global information, collected on the host
2424 .  -mat_mumps_icntl_4 -  ICNTL(4): level of printing (0 to 4)
2425 .  -mat_mumps_icntl_6 - ICNTL(6): permutes to a zero-free diagonal and/or scale the matrix (0 to 7)
2426 .  -mat_mumps_icntl_7 - ICNTL(7): computes a symmetric permutation in sequential analysis (0 to 7). 3=Scotch, 4=PORD, 5=Metis
2427 .  -mat_mumps_icntl_8  - ICNTL(8): scaling strategy (-2 to 8 or 77)
2428 .  -mat_mumps_icntl_10  - ICNTL(10): max num of refinements
2429 .  -mat_mumps_icntl_11  - ICNTL(11): statistics related to an error analysis (via -ksp_view)
2430 .  -mat_mumps_icntl_12  - ICNTL(12): an ordering strategy for symmetric matrices (0 to 3)
2431 .  -mat_mumps_icntl_13  - ICNTL(13): parallelism of the root node (enable ScaLAPACK) and its splitting
2432 .  -mat_mumps_icntl_14  - ICNTL(14): percentage increase in the estimated working space
2433 .  -mat_mumps_icntl_19  - ICNTL(19): computes the Schur complement
2434 .  -mat_mumps_icntl_22  - ICNTL(22): in-core/out-of-core factorization and solve (0 or 1)
2435 .  -mat_mumps_icntl_23  - ICNTL(23): max size of the working memory (MB) that can allocate per processor
2436 .  -mat_mumps_icntl_24  - ICNTL(24): detection of null pivot rows (0 or 1)
2437 .  -mat_mumps_icntl_25  - ICNTL(25): compute a solution of a deficient matrix and a null space basis
2438 .  -mat_mumps_icntl_26  - ICNTL(26): drives the solution phase if a Schur complement matrix
2439 .  -mat_mumps_icntl_28  - ICNTL(28): use 1 for sequential analysis and ictnl(7) ordering, or 2 for parallel analysis and ictnl(29) ordering
2440 .  -mat_mumps_icntl_29 - ICNTL(29): parallel ordering 1 = ptscotch, 2 = parmetis
2441 .  -mat_mumps_icntl_30 - ICNTL(30): compute user-specified set of entries in inv(A)
2442 .  -mat_mumps_icntl_31 - ICNTL(31): indicates which factors may be discarded during factorization
2443 .  -mat_mumps_icntl_33 - ICNTL(33): compute determinant
2444 .  -mat_mumps_cntl_1  - CNTL(1): relative pivoting threshold
2445 .  -mat_mumps_cntl_2  -  CNTL(2): stopping criterion of refinement
2446 .  -mat_mumps_cntl_3 - CNTL(3): absolute pivoting threshold
2447 .  -mat_mumps_cntl_4 - CNTL(4): value for static pivoting
2448 -  -mat_mumps_cntl_5 - CNTL(5): fixation for null pivots
2449 
2450   Level: beginner
2451 
2452     Notes:
2453     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
2454 $          KSPGetPC(ksp,&pc);
2455 $          PCFactorGetMatrix(pc,&mat);
2456 $          MatMumpsGetInfo(mat,....);
2457 $          MatMumpsGetInfog(mat,....); etc.
2458            Or you can run with -ksp_error_if_not_converged and the program will be stopped and the information printed in the error message.
2459 
2460 .seealso: PCFactorSetMatSolverType(), MatSolverType, MatMumpsSetICntl(), MatMumpsGetIcntl(), MatMumpsSetCntl(), MatMumpsGetCntl(), MatMumpsGetInfo(), MatMumpsGetInfog(), MatMumpsGetRinfo(), MatMumpsGetRinfog(), KSPGetPC(), PCGetFactor(), PCFactorGetMatrix()
2461 
2462 M*/
2463 
2464 static PetscErrorCode MatFactorGetSolverType_mumps(Mat A,MatSolverType *type)
2465 {
2466   PetscFunctionBegin;
2467   *type = MATSOLVERMUMPS;
2468   PetscFunctionReturn(0);
2469 }
2470 
2471 /* MatGetFactor for Seq and MPI AIJ matrices */
2472 static PetscErrorCode MatGetFactor_aij_mumps(Mat A,MatFactorType ftype,Mat *F)
2473 {
2474   Mat            B;
2475   PetscErrorCode ierr;
2476   Mat_MUMPS      *mumps;
2477   PetscBool      isSeqAIJ;
2478 
2479   PetscFunctionBegin;
2480   /* Create the factorization matrix */
2481   ierr = PetscObjectTypeCompare((PetscObject)A,MATSEQAIJ,&isSeqAIJ);CHKERRQ(ierr);
2482   ierr = MatCreate(PetscObjectComm((PetscObject)A),&B);CHKERRQ(ierr);
2483   ierr = MatSetSizes(B,A->rmap->n,A->cmap->n,A->rmap->N,A->cmap->N);CHKERRQ(ierr);
2484   ierr = PetscStrallocpy("mumps",&((PetscObject)B)->type_name);CHKERRQ(ierr);
2485   ierr = MatSetUp(B);CHKERRQ(ierr);
2486 
2487   ierr = PetscNewLog(B,&mumps);CHKERRQ(ierr);
2488 
2489   B->ops->view        = MatView_MUMPS;
2490   B->ops->getinfo     = MatGetInfo_MUMPS;
2491 
2492   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorGetSolverType_C",MatFactorGetSolverType_mumps);CHKERRQ(ierr);
2493   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSetSchurIS_C",MatFactorSetSchurIS_MUMPS);CHKERRQ(ierr);
2494   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorCreateSchurComplement_C",MatFactorCreateSchurComplement_MUMPS);CHKERRQ(ierr);
2495   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsSetIcntl_C",MatMumpsSetIcntl_MUMPS);CHKERRQ(ierr);
2496   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetIcntl_C",MatMumpsGetIcntl_MUMPS);CHKERRQ(ierr);
2497   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsSetCntl_C",MatMumpsSetCntl_MUMPS);CHKERRQ(ierr);
2498   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetCntl_C",MatMumpsGetCntl_MUMPS);CHKERRQ(ierr);
2499   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetInfo_C",MatMumpsGetInfo_MUMPS);CHKERRQ(ierr);
2500   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetInfog_C",MatMumpsGetInfog_MUMPS);CHKERRQ(ierr);
2501   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetRinfo_C",MatMumpsGetRinfo_MUMPS);CHKERRQ(ierr);
2502   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetRinfog_C",MatMumpsGetRinfog_MUMPS);CHKERRQ(ierr);
2503   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetInverse_C",MatMumpsGetInverse_MUMPS);CHKERRQ(ierr);
2504   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetInverseTranspose_C",MatMumpsGetInverseTranspose_MUMPS);CHKERRQ(ierr);
2505 
2506   if (ftype == MAT_FACTOR_LU) {
2507     B->ops->lufactorsymbolic = MatLUFactorSymbolic_AIJMUMPS;
2508     B->factortype            = MAT_FACTOR_LU;
2509     if (isSeqAIJ) mumps->ConvertToTriples = MatConvertToTriples_seqaij_seqaij;
2510     else mumps->ConvertToTriples = MatConvertToTriples_mpiaij_mpiaij;
2511     mumps->sym = 0;
2512   } else {
2513     B->ops->choleskyfactorsymbolic = MatCholeskyFactorSymbolic_MUMPS;
2514     B->factortype                  = MAT_FACTOR_CHOLESKY;
2515     if (isSeqAIJ) mumps->ConvertToTriples = MatConvertToTriples_seqaij_seqsbaij;
2516     else mumps->ConvertToTriples = MatConvertToTriples_mpiaij_mpisbaij;
2517 #if defined(PETSC_USE_COMPLEX)
2518     mumps->sym = 2;
2519 #else
2520     if (A->spd_set && A->spd) mumps->sym = 1;
2521     else                      mumps->sym = 2;
2522 #endif
2523   }
2524 
2525   /* set solvertype */
2526   ierr = PetscFree(B->solvertype);CHKERRQ(ierr);
2527   ierr = PetscStrallocpy(MATSOLVERMUMPS,&B->solvertype);CHKERRQ(ierr);
2528 
2529   B->ops->destroy = MatDestroy_MUMPS;
2530   B->data         = (void*)mumps;
2531 
2532   ierr = PetscInitializeMUMPS(A,mumps);CHKERRQ(ierr);
2533 
2534   *F = B;
2535   PetscFunctionReturn(0);
2536 }
2537 
2538 /* MatGetFactor for Seq and MPI SBAIJ matrices */
2539 static PetscErrorCode MatGetFactor_sbaij_mumps(Mat A,MatFactorType ftype,Mat *F)
2540 {
2541   Mat            B;
2542   PetscErrorCode ierr;
2543   Mat_MUMPS      *mumps;
2544   PetscBool      isSeqSBAIJ;
2545 
2546   PetscFunctionBegin;
2547   if (ftype != MAT_FACTOR_CHOLESKY) SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_SUP,"Cannot use PETSc SBAIJ matrices with MUMPS LU, use AIJ matrix");
2548   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");
2549   ierr = PetscObjectTypeCompare((PetscObject)A,MATSEQSBAIJ,&isSeqSBAIJ);CHKERRQ(ierr);
2550   /* Create the factorization matrix */
2551   ierr = MatCreate(PetscObjectComm((PetscObject)A),&B);CHKERRQ(ierr);
2552   ierr = MatSetSizes(B,A->rmap->n,A->cmap->n,A->rmap->N,A->cmap->N);CHKERRQ(ierr);
2553   ierr = PetscStrallocpy("mumps",&((PetscObject)B)->type_name);CHKERRQ(ierr);
2554   ierr = MatSetUp(B);CHKERRQ(ierr);
2555 
2556   ierr = PetscNewLog(B,&mumps);CHKERRQ(ierr);
2557   if (isSeqSBAIJ) {
2558     mumps->ConvertToTriples = MatConvertToTriples_seqsbaij_seqsbaij;
2559   } else {
2560     mumps->ConvertToTriples = MatConvertToTriples_mpisbaij_mpisbaij;
2561   }
2562 
2563   B->ops->getinfo                = MatGetInfo_External;
2564   B->ops->choleskyfactorsymbolic = MatCholeskyFactorSymbolic_MUMPS;
2565   B->ops->view                   = MatView_MUMPS;
2566 
2567   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorGetSolverType_C",MatFactorGetSolverType_mumps);CHKERRQ(ierr);
2568   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSetSchurIS_C",MatFactorSetSchurIS_MUMPS);CHKERRQ(ierr);
2569   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorCreateSchurComplement_C",MatFactorCreateSchurComplement_MUMPS);CHKERRQ(ierr);
2570   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsSetIcntl_C",MatMumpsSetIcntl_MUMPS);CHKERRQ(ierr);
2571   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetIcntl_C",MatMumpsGetIcntl_MUMPS);CHKERRQ(ierr);
2572   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsSetCntl_C",MatMumpsSetCntl_MUMPS);CHKERRQ(ierr);
2573   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetCntl_C",MatMumpsGetCntl_MUMPS);CHKERRQ(ierr);
2574   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetInfo_C",MatMumpsGetInfo_MUMPS);CHKERRQ(ierr);
2575   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetInfog_C",MatMumpsGetInfog_MUMPS);CHKERRQ(ierr);
2576   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetRinfo_C",MatMumpsGetRinfo_MUMPS);CHKERRQ(ierr);
2577   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetRinfog_C",MatMumpsGetRinfog_MUMPS);CHKERRQ(ierr);
2578   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetInverse_C",MatMumpsGetInverse_MUMPS);CHKERRQ(ierr);
2579   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetInverseTranspose_C",MatMumpsGetInverseTranspose_MUMPS);CHKERRQ(ierr);
2580 
2581   B->factortype = MAT_FACTOR_CHOLESKY;
2582 #if defined(PETSC_USE_COMPLEX)
2583   mumps->sym = 2;
2584 #else
2585   if (A->spd_set && A->spd) mumps->sym = 1;
2586   else                      mumps->sym = 2;
2587 #endif
2588 
2589   /* set solvertype */
2590   ierr = PetscFree(B->solvertype);CHKERRQ(ierr);
2591   ierr = PetscStrallocpy(MATSOLVERMUMPS,&B->solvertype);CHKERRQ(ierr);
2592 
2593   B->ops->destroy = MatDestroy_MUMPS;
2594   B->data         = (void*)mumps;
2595 
2596   ierr = PetscInitializeMUMPS(A,mumps);CHKERRQ(ierr);
2597 
2598   *F = B;
2599   PetscFunctionReturn(0);
2600 }
2601 
2602 static PetscErrorCode MatGetFactor_baij_mumps(Mat A,MatFactorType ftype,Mat *F)
2603 {
2604   Mat            B;
2605   PetscErrorCode ierr;
2606   Mat_MUMPS      *mumps;
2607   PetscBool      isSeqBAIJ;
2608 
2609   PetscFunctionBegin;
2610   /* Create the factorization matrix */
2611   ierr = PetscObjectTypeCompare((PetscObject)A,MATSEQBAIJ,&isSeqBAIJ);CHKERRQ(ierr);
2612   ierr = MatCreate(PetscObjectComm((PetscObject)A),&B);CHKERRQ(ierr);
2613   ierr = MatSetSizes(B,A->rmap->n,A->cmap->n,A->rmap->N,A->cmap->N);CHKERRQ(ierr);
2614   ierr = PetscStrallocpy("mumps",&((PetscObject)B)->type_name);CHKERRQ(ierr);
2615   ierr = MatSetUp(B);CHKERRQ(ierr);
2616 
2617   ierr = PetscNewLog(B,&mumps);CHKERRQ(ierr);
2618   if (ftype == MAT_FACTOR_LU) {
2619     B->ops->lufactorsymbolic = MatLUFactorSymbolic_BAIJMUMPS;
2620     B->factortype            = MAT_FACTOR_LU;
2621     if (isSeqBAIJ) mumps->ConvertToTriples = MatConvertToTriples_seqbaij_seqaij;
2622     else mumps->ConvertToTriples = MatConvertToTriples_mpibaij_mpiaij;
2623     mumps->sym = 0;
2624   } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Cannot use PETSc BAIJ matrices with MUMPS Cholesky, use SBAIJ or AIJ matrix instead\n");
2625 
2626   B->ops->getinfo     = MatGetInfo_External;
2627   B->ops->view        = MatView_MUMPS;
2628 
2629   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorGetSolverType_C",MatFactorGetSolverType_mumps);CHKERRQ(ierr);
2630   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSetSchurIS_C",MatFactorSetSchurIS_MUMPS);CHKERRQ(ierr);
2631   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorCreateSchurComplement_C",MatFactorCreateSchurComplement_MUMPS);CHKERRQ(ierr);
2632   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsSetIcntl_C",MatMumpsSetIcntl_MUMPS);CHKERRQ(ierr);
2633   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetIcntl_C",MatMumpsGetIcntl_MUMPS);CHKERRQ(ierr);
2634   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsSetCntl_C",MatMumpsSetCntl_MUMPS);CHKERRQ(ierr);
2635   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetCntl_C",MatMumpsGetCntl_MUMPS);CHKERRQ(ierr);
2636   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetInfo_C",MatMumpsGetInfo_MUMPS);CHKERRQ(ierr);
2637   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetInfog_C",MatMumpsGetInfog_MUMPS);CHKERRQ(ierr);
2638   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetRinfo_C",MatMumpsGetRinfo_MUMPS);CHKERRQ(ierr);
2639   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetRinfog_C",MatMumpsGetRinfog_MUMPS);CHKERRQ(ierr);
2640   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetInverse_C",MatMumpsGetInverse_MUMPS);CHKERRQ(ierr);
2641   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetInverseTranspose_C",MatMumpsGetInverseTranspose_MUMPS);CHKERRQ(ierr);
2642 
2643   /* set solvertype */
2644   ierr = PetscFree(B->solvertype);CHKERRQ(ierr);
2645   ierr = PetscStrallocpy(MATSOLVERMUMPS,&B->solvertype);CHKERRQ(ierr);
2646 
2647   B->ops->destroy = MatDestroy_MUMPS;
2648   B->data         = (void*)mumps;
2649 
2650   ierr = PetscInitializeMUMPS(A,mumps);CHKERRQ(ierr);
2651 
2652   *F = B;
2653   PetscFunctionReturn(0);
2654 }
2655 
2656 /* MatGetFactor for Seq and MPI SELL matrices */
2657 static PetscErrorCode MatGetFactor_sell_mumps(Mat A,MatFactorType ftype,Mat *F)
2658 {
2659   Mat            B;
2660   PetscErrorCode ierr;
2661   Mat_MUMPS      *mumps;
2662   PetscBool      isSeqSELL;
2663 
2664   PetscFunctionBegin;
2665   /* Create the factorization matrix */
2666   ierr = PetscObjectTypeCompare((PetscObject)A,MATSEQSELL,&isSeqSELL);CHKERRQ(ierr);
2667   ierr = MatCreate(PetscObjectComm((PetscObject)A),&B);CHKERRQ(ierr);
2668   ierr = MatSetSizes(B,A->rmap->n,A->cmap->n,A->rmap->N,A->cmap->N);CHKERRQ(ierr);
2669   ierr = PetscStrallocpy("mumps",&((PetscObject)B)->type_name);CHKERRQ(ierr);
2670   ierr = MatSetUp(B);CHKERRQ(ierr);
2671 
2672   ierr = PetscNewLog(B,&mumps);CHKERRQ(ierr);
2673 
2674   B->ops->view        = MatView_MUMPS;
2675   B->ops->getinfo     = MatGetInfo_MUMPS;
2676 
2677   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorGetSolverType_C",MatFactorGetSolverType_mumps);CHKERRQ(ierr);
2678   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSetSchurIS_C",MatFactorSetSchurIS_MUMPS);CHKERRQ(ierr);
2679   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorCreateSchurComplement_C",MatFactorCreateSchurComplement_MUMPS);CHKERRQ(ierr);
2680   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsSetIcntl_C",MatMumpsSetIcntl_MUMPS);CHKERRQ(ierr);
2681   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetIcntl_C",MatMumpsGetIcntl_MUMPS);CHKERRQ(ierr);
2682   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsSetCntl_C",MatMumpsSetCntl_MUMPS);CHKERRQ(ierr);
2683   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetCntl_C",MatMumpsGetCntl_MUMPS);CHKERRQ(ierr);
2684   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetInfo_C",MatMumpsGetInfo_MUMPS);CHKERRQ(ierr);
2685   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetInfog_C",MatMumpsGetInfog_MUMPS);CHKERRQ(ierr);
2686   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetRinfo_C",MatMumpsGetRinfo_MUMPS);CHKERRQ(ierr);
2687   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetRinfog_C",MatMumpsGetRinfog_MUMPS);CHKERRQ(ierr);
2688 
2689   if (ftype == MAT_FACTOR_LU) {
2690     B->ops->lufactorsymbolic = MatLUFactorSymbolic_AIJMUMPS;
2691     B->factortype            = MAT_FACTOR_LU;
2692     if (isSeqSELL) mumps->ConvertToTriples = MatConvertToTriples_seqsell_seqaij;
2693     else SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_SUP,"To be implemented");
2694     mumps->sym = 0;
2695   } else SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_SUP,"To be implemented");
2696 
2697   /* set solvertype */
2698   ierr = PetscFree(B->solvertype);CHKERRQ(ierr);
2699   ierr = PetscStrallocpy(MATSOLVERMUMPS,&B->solvertype);CHKERRQ(ierr);
2700 
2701   B->ops->destroy = MatDestroy_MUMPS;
2702   B->data         = (void*)mumps;
2703 
2704   ierr = PetscInitializeMUMPS(A,mumps);CHKERRQ(ierr);
2705 
2706   *F = B;
2707   PetscFunctionReturn(0);
2708 }
2709 
2710 PETSC_EXTERN PetscErrorCode MatSolverTypeRegister_MUMPS(void)
2711 {
2712   PetscErrorCode ierr;
2713 
2714   PetscFunctionBegin;
2715   ierr = MatSolverTypeRegister(MATSOLVERMUMPS,MATMPIAIJ,MAT_FACTOR_LU,MatGetFactor_aij_mumps);CHKERRQ(ierr);
2716   ierr = MatSolverTypeRegister(MATSOLVERMUMPS,MATMPIAIJ,MAT_FACTOR_CHOLESKY,MatGetFactor_aij_mumps);CHKERRQ(ierr);
2717   ierr = MatSolverTypeRegister(MATSOLVERMUMPS,MATMPIBAIJ,MAT_FACTOR_LU,MatGetFactor_baij_mumps);CHKERRQ(ierr);
2718   ierr = MatSolverTypeRegister(MATSOLVERMUMPS,MATMPIBAIJ,MAT_FACTOR_CHOLESKY,MatGetFactor_baij_mumps);CHKERRQ(ierr);
2719   ierr = MatSolverTypeRegister(MATSOLVERMUMPS,MATMPISBAIJ,MAT_FACTOR_CHOLESKY,MatGetFactor_sbaij_mumps);CHKERRQ(ierr);
2720   ierr = MatSolverTypeRegister(MATSOLVERMUMPS,MATSEQAIJ,MAT_FACTOR_LU,MatGetFactor_aij_mumps);CHKERRQ(ierr);
2721   ierr = MatSolverTypeRegister(MATSOLVERMUMPS,MATSEQAIJ,MAT_FACTOR_CHOLESKY,MatGetFactor_aij_mumps);CHKERRQ(ierr);
2722   ierr = MatSolverTypeRegister(MATSOLVERMUMPS,MATSEQBAIJ,MAT_FACTOR_LU,MatGetFactor_baij_mumps);CHKERRQ(ierr);
2723   ierr = MatSolverTypeRegister(MATSOLVERMUMPS,MATSEQBAIJ,MAT_FACTOR_CHOLESKY,MatGetFactor_baij_mumps);CHKERRQ(ierr);
2724   ierr = MatSolverTypeRegister(MATSOLVERMUMPS,MATSEQSBAIJ,MAT_FACTOR_CHOLESKY,MatGetFactor_sbaij_mumps);CHKERRQ(ierr);
2725   ierr = MatSolverTypeRegister(MATSOLVERMUMPS,MATSEQSELL,MAT_FACTOR_LU,MatGetFactor_sell_mumps);CHKERRQ(ierr);
2726   PetscFunctionReturn(0);
2727 }
2728 
2729 #undef PETSC_HAVE_OPENMP_SUPPORT
2730 
2731