xref: /petsc/src/mat/impls/aij/mpi/mumps/mumps.c (revision 2b691707dd0cf456c808def006e14b6f56b364b6)
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 PetscMUMPS_c cmumps_c
35 #else
36 #define PetscMUMPS_c zmumps_c
37 #endif
38 #else
39 #if defined(PETSC_USE_REAL_SINGLE)
40 #define PetscMUMPS_c smumps_c
41 #else
42 #define PetscMUMPS_c dmumps_c
43 #endif
44 #endif
45 
46 /* declare MumpsScalar */
47 #if defined(PETSC_USE_COMPLEX)
48 #if defined(PETSC_USE_REAL_SINGLE)
49 #define MumpsScalar mumps_complex
50 #else
51 #define MumpsScalar mumps_double_complex
52 #endif
53 #else
54 #define MumpsScalar PetscScalar
55 #endif
56 
57 /* macros s.t. indices match MUMPS documentation */
58 #define ICNTL(I) icntl[(I)-1]
59 #define CNTL(I) cntl[(I)-1]
60 #define INFOG(I) infog[(I)-1]
61 #define INFO(I) info[(I)-1]
62 #define RINFOG(I) rinfog[(I)-1]
63 #define RINFO(I) rinfo[(I)-1]
64 
65 typedef struct {
66 #if defined(PETSC_USE_COMPLEX)
67 #if defined(PETSC_USE_REAL_SINGLE)
68   CMUMPS_STRUC_C id;
69 #else
70   ZMUMPS_STRUC_C id;
71 #endif
72 #else
73 #if defined(PETSC_USE_REAL_SINGLE)
74   SMUMPS_STRUC_C id;
75 #else
76   DMUMPS_STRUC_C id;
77 #endif
78 #endif
79 
80   MatStructure matstruc;
81   PetscMPIInt  myid,size;
82   PetscInt     *irn,*jcn,nz,sym;
83   PetscScalar  *val;
84   MPI_Comm     comm_mumps;
85   PetscInt     ICNTL9_pre;           /* check if ICNTL(9) is changed from previous MatSolve */
86   VecScatter   scat_rhs, scat_sol;   /* used by MatSolve() */
87   Vec          b_seq,x_seq;
88   PetscInt     ninfo,*info;          /* display INFO */
89   PetscInt     sizeredrhs;
90   PetscScalar  *schur_sol;
91   PetscInt     schur_sizesol;
92 
93   PetscErrorCode (*ConvertToTriples)(Mat, int, MatReuse, int*, int**, int**, PetscScalar**);
94 } Mat_MUMPS;
95 
96 extern PetscErrorCode MatDuplicate_MUMPS(Mat,MatDuplicateOption,Mat*);
97 
98 static PetscErrorCode MatMumpsResetSchur_Private(Mat_MUMPS* mumps)
99 {
100   PetscErrorCode ierr;
101 
102   PetscFunctionBegin;
103   ierr = PetscFree2(mumps->id.listvar_schur,mumps->id.schur);CHKERRQ(ierr);
104   ierr = PetscFree(mumps->id.redrhs);CHKERRQ(ierr);
105   ierr = PetscFree(mumps->schur_sol);CHKERRQ(ierr);
106   mumps->id.size_schur = 0;
107   mumps->id.schur_lld  = 0;
108   mumps->id.ICNTL(19)  = 0;
109   PetscFunctionReturn(0);
110 }
111 
112 /* solve with rhs in mumps->id.redrhs and return in the same location */
113 static PetscErrorCode MatMumpsSolveSchur_Private(Mat F)
114 {
115   Mat_MUMPS            *mumps=(Mat_MUMPS*)F->data;
116   Mat                  S,B,X;
117   MatFactorSchurStatus schurstatus;
118   PetscInt             sizesol;
119   PetscErrorCode       ierr;
120 
121   PetscFunctionBegin;
122   ierr = MatFactorFactorizeSchurComplement(F);CHKERRQ(ierr);
123   ierr = MatFactorGetSchurComplement(F,&S,&schurstatus);CHKERRQ(ierr);
124   ierr = MatCreateSeqDense(PETSC_COMM_SELF,mumps->id.size_schur,mumps->id.nrhs,(PetscScalar*)mumps->id.redrhs,&B);CHKERRQ(ierr);
125   switch (schurstatus) {
126   case MAT_FACTOR_SCHUR_FACTORED:
127     ierr = MatCreateSeqDense(PETSC_COMM_SELF,mumps->id.size_schur,mumps->id.nrhs,(PetscScalar*)mumps->id.redrhs,&X);CHKERRQ(ierr);
128     if (!mumps->id.ICNTL(9)) { /* transpose solve */
129       ierr = MatMatSolveTranspose(S,B,X);CHKERRQ(ierr);
130     } else {
131       ierr = MatMatSolve(S,B,X);CHKERRQ(ierr);
132     }
133     break;
134   case MAT_FACTOR_SCHUR_INVERTED:
135     sizesol = mumps->id.nrhs*mumps->id.size_schur;
136     if (!mumps->schur_sol || sizesol > mumps->schur_sizesol) {
137       ierr = PetscFree(mumps->schur_sol);CHKERRQ(ierr);
138       ierr = PetscMalloc1(sizesol,&mumps->schur_sol);CHKERRQ(ierr);
139       mumps->schur_sizesol = sizesol;
140     }
141     ierr = MatCreateSeqDense(PETSC_COMM_SELF,mumps->id.size_schur,mumps->id.nrhs,mumps->schur_sol,&X);CHKERRQ(ierr);
142     if (!mumps->id.ICNTL(9)) { /* transpose solve */
143       ierr = MatTransposeMatMult(S,B,MAT_REUSE_MATRIX,PETSC_DEFAULT,&X);CHKERRQ(ierr);
144     } else {
145       ierr = MatMatMult(S,B,MAT_REUSE_MATRIX,PETSC_DEFAULT,&X);CHKERRQ(ierr);
146     }
147     ierr = MatCopy(X,B,SAME_NONZERO_PATTERN);CHKERRQ(ierr);
148     break;
149   default:
150     SETERRQ1(PetscObjectComm((PetscObject)F),PETSC_ERR_SUP,"Unhandled MatFactorSchurStatus %D",F->schur_status);
151     break;
152   }
153   ierr = MatFactorRestoreSchurComplement(F,&S,schurstatus);CHKERRQ(ierr);
154   ierr = MatDestroy(&B);CHKERRQ(ierr);
155   ierr = MatDestroy(&X);CHKERRQ(ierr);
156   PetscFunctionReturn(0);
157 }
158 
159 static PetscErrorCode MatMumpsHandleSchur_Private(Mat F, PetscBool expansion)
160 {
161   Mat_MUMPS     *mumps=(Mat_MUMPS*)F->data;
162   PetscErrorCode ierr;
163 
164   PetscFunctionBegin;
165   if (!mumps->id.ICNTL(19)) { /* do nothing when Schur complement has not been computed */
166     PetscFunctionReturn(0);
167   }
168   if (!expansion) { /* prepare for the condensation step */
169     PetscInt sizeredrhs = mumps->id.nrhs*mumps->id.size_schur;
170     /* allocate MUMPS internal array to store reduced right-hand sides */
171     if (!mumps->id.redrhs || sizeredrhs > mumps->sizeredrhs) {
172       ierr = PetscFree(mumps->id.redrhs);CHKERRQ(ierr);
173       mumps->id.lredrhs = mumps->id.size_schur;
174       ierr = PetscMalloc1(mumps->id.nrhs*mumps->id.lredrhs,&mumps->id.redrhs);CHKERRQ(ierr);
175       mumps->sizeredrhs = mumps->id.nrhs*mumps->id.lredrhs;
176     }
177     mumps->id.ICNTL(26) = 1; /* condensation phase */
178   } else { /* prepare for the expansion step */
179     /* solve Schur complement (this has to be done by the MUMPS user, so basically us) */
180     ierr = MatMumpsSolveSchur_Private(F);CHKERRQ(ierr);
181     mumps->id.ICNTL(26) = 2; /* expansion phase */
182     PetscMUMPS_c(&mumps->id);
183     if (mumps->id.INFOG(1) < 0) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error reported by MUMPS in solve phase: INFOG(1)=%d\n",mumps->id.INFOG(1));
184     /* restore defaults */
185     mumps->id.ICNTL(26) = -1;
186     /* free MUMPS internal array for redrhs if we have solved for multiple rhs in order to save memory space */
187     if (mumps->id.nrhs > 1) {
188       ierr = PetscFree(mumps->id.redrhs);CHKERRQ(ierr);
189       mumps->id.lredrhs = 0;
190       mumps->sizeredrhs = 0;
191     }
192   }
193   PetscFunctionReturn(0);
194 }
195 
196 /*
197   MatConvertToTriples_A_B - convert Petsc matrix to triples: row[nz], col[nz], val[nz]
198 
199   input:
200     A       - matrix in aij,baij or sbaij (bs=1) format
201     shift   - 0: C style output triple; 1: Fortran style output triple.
202     reuse   - MAT_INITIAL_MATRIX: spaces are allocated and values are set for the triple
203               MAT_REUSE_MATRIX:   only the values in v array are updated
204   output:
205     nnz     - dim of r, c, and v (number of local nonzero entries of A)
206     r, c, v - row and col index, matrix values (matrix triples)
207 
208   The returned values r, c, and sometimes v are obtained in a single PetscMalloc(). Then in MatDestroy_MUMPS() it is
209   freed with PetscFree(mumps->irn);  This is not ideal code, the fact that v is ONLY sometimes part of mumps->irn means
210   that the PetscMalloc() cannot easily be replaced with a PetscMalloc3().
211 
212  */
213 
214 PetscErrorCode MatConvertToTriples_seqaij_seqaij(Mat A,int shift,MatReuse reuse,int *nnz,int **r, int **c, PetscScalar **v)
215 {
216   const PetscInt *ai,*aj,*ajj,M=A->rmap->n;
217   PetscInt       nz,rnz,i,j;
218   PetscErrorCode ierr;
219   PetscInt       *row,*col;
220   Mat_SeqAIJ     *aa=(Mat_SeqAIJ*)A->data;
221 
222   PetscFunctionBegin;
223   *v=aa->a;
224   if (reuse == MAT_INITIAL_MATRIX) {
225     nz   = aa->nz;
226     ai   = aa->i;
227     aj   = aa->j;
228     *nnz = nz;
229     ierr = PetscMalloc1(2*nz, &row);CHKERRQ(ierr);
230     col  = row + nz;
231 
232     nz = 0;
233     for (i=0; i<M; i++) {
234       rnz = ai[i+1] - ai[i];
235       ajj = aj + ai[i];
236       for (j=0; j<rnz; j++) {
237         row[nz] = i+shift; col[nz++] = ajj[j] + shift;
238       }
239     }
240     *r = row; *c = col;
241   }
242   PetscFunctionReturn(0);
243 }
244 
245 PetscErrorCode MatConvertToTriples_seqsell_seqaij(Mat A,int shift,MatReuse reuse,int *nnz,int **r, int **c, PetscScalar **v)
246 {
247   Mat_SeqSELL *a=(Mat_SeqSELL*)A->data;
248   PetscInt    *ptr;
249 
250   PetscFunctionBegin;
251   *v = a->val;
252   if (reuse == MAT_INITIAL_MATRIX) {
253     PetscInt       nz,i,j,row;
254     PetscErrorCode ierr;
255 
256     nz   = a->sliidx[a->totalslices];
257     *nnz = nz;
258     ierr = PetscMalloc1(2*nz, &ptr);CHKERRQ(ierr);
259     *r   = ptr;
260     *c   = ptr + nz;
261 
262     for (i=0; i<a->totalslices; i++) {
263       for (j=a->sliidx[i],row=0; j<a->sliidx[i+1]; j++,row=((row+1)&0x07)) {
264         *ptr++ = 8*i + row + shift;
265       }
266     }
267     for (i=0;i<nz;i++) *ptr++ = a->colidx[i] + shift;
268   }
269   PetscFunctionReturn(0);
270 }
271 
272 PetscErrorCode MatConvertToTriples_seqbaij_seqaij(Mat A,int shift,MatReuse reuse,int *nnz,int **r, int **c, PetscScalar **v)
273 {
274   Mat_SeqBAIJ    *aa=(Mat_SeqBAIJ*)A->data;
275   const PetscInt *ai,*aj,*ajj,bs2 = aa->bs2;
276   PetscInt       bs,M,nz,idx=0,rnz,i,j,k,m;
277   PetscErrorCode ierr;
278   PetscInt       *row,*col;
279 
280   PetscFunctionBegin;
281   ierr = MatGetBlockSize(A,&bs);CHKERRQ(ierr);
282   M = A->rmap->N/bs;
283   *v = aa->a;
284   if (reuse == MAT_INITIAL_MATRIX) {
285     ai   = aa->i; aj = aa->j;
286     nz   = bs2*aa->nz;
287     *nnz = nz;
288     ierr = PetscMalloc1(2*nz, &row);CHKERRQ(ierr);
289     col  = row + nz;
290 
291     for (i=0; i<M; i++) {
292       ajj = aj + ai[i];
293       rnz = ai[i+1] - ai[i];
294       for (k=0; k<rnz; k++) {
295         for (j=0; j<bs; j++) {
296           for (m=0; m<bs; m++) {
297             row[idx]   = i*bs + m + shift;
298             col[idx++] = bs*(ajj[k]) + j + shift;
299           }
300         }
301       }
302     }
303     *r = row; *c = col;
304   }
305   PetscFunctionReturn(0);
306 }
307 
308 PetscErrorCode MatConvertToTriples_seqsbaij_seqsbaij(Mat A,int shift,MatReuse reuse,int *nnz,int **r, int **c, PetscScalar **v)
309 {
310   const PetscInt *ai, *aj,*ajj,M=A->rmap->n;
311   PetscInt       nz,rnz,i,j;
312   PetscErrorCode ierr;
313   PetscInt       *row,*col;
314   Mat_SeqSBAIJ   *aa=(Mat_SeqSBAIJ*)A->data;
315 
316   PetscFunctionBegin;
317   *v = aa->a;
318   if (reuse == MAT_INITIAL_MATRIX) {
319     nz   = aa->nz;
320     ai   = aa->i;
321     aj   = aa->j;
322     *v   = aa->a;
323     *nnz = nz;
324     ierr = PetscMalloc1(2*nz, &row);CHKERRQ(ierr);
325     col  = row + nz;
326 
327     nz = 0;
328     for (i=0; i<M; i++) {
329       rnz = ai[i+1] - ai[i];
330       ajj = aj + ai[i];
331       for (j=0; j<rnz; j++) {
332         row[nz] = i+shift; col[nz++] = ajj[j] + shift;
333       }
334     }
335     *r = row; *c = col;
336   }
337   PetscFunctionReturn(0);
338 }
339 
340 PetscErrorCode MatConvertToTriples_seqaij_seqsbaij(Mat A,int shift,MatReuse reuse,int *nnz,int **r, int **c, PetscScalar **v)
341 {
342   const PetscInt    *ai,*aj,*ajj,*adiag,M=A->rmap->n;
343   PetscInt          nz,rnz,i,j;
344   const PetscScalar *av,*v1;
345   PetscScalar       *val;
346   PetscErrorCode    ierr;
347   PetscInt          *row,*col;
348   Mat_SeqAIJ        *aa=(Mat_SeqAIJ*)A->data;
349   PetscBool         missing;
350 
351   PetscFunctionBegin;
352   ai    = aa->i; aj = aa->j; av = aa->a;
353   adiag = aa->diag;
354   ierr  = MatMissingDiagonal_SeqAIJ(A,&missing,&i);CHKERRQ(ierr);
355   if (reuse == MAT_INITIAL_MATRIX) {
356     /* count nz in the upper triangular part of A */
357     nz = 0;
358     if (missing) {
359       for (i=0; i<M; i++) {
360         if (PetscUnlikely(adiag[i] >= ai[i+1])) {
361           for (j=ai[i];j<ai[i+1];j++) {
362             if (aj[j] < i) continue;
363             nz++;
364           }
365         } else {
366           nz += ai[i+1] - adiag[i];
367         }
368       }
369     } else {
370       for (i=0; i<M; i++) nz += ai[i+1] - adiag[i];
371     }
372     *nnz = nz;
373 
374     ierr = PetscMalloc((2*nz*sizeof(PetscInt)+nz*sizeof(PetscScalar)), &row);CHKERRQ(ierr);
375     col  = row + nz;
376     val  = (PetscScalar*)(col + nz);
377 
378     nz = 0;
379     if (missing) {
380       for (i=0; i<M; i++) {
381         if (PetscUnlikely(adiag[i] >= ai[i+1])) {
382           for (j=ai[i];j<ai[i+1];j++) {
383             if (aj[j] < i) continue;
384             row[nz] = i+shift;
385             col[nz] = aj[j]+shift;
386             val[nz] = av[j];
387             nz++;
388           }
389         } else {
390           rnz = ai[i+1] - adiag[i];
391           ajj = aj + adiag[i];
392           v1  = av + adiag[i];
393           for (j=0; j<rnz; j++) {
394             row[nz] = i+shift; col[nz] = ajj[j] + shift; val[nz++] = v1[j];
395           }
396         }
397       }
398     } else {
399       for (i=0; i<M; i++) {
400         rnz = ai[i+1] - adiag[i];
401         ajj = aj + adiag[i];
402         v1  = av + adiag[i];
403         for (j=0; j<rnz; j++) {
404           row[nz] = i+shift; col[nz] = ajj[j] + shift; val[nz++] = v1[j];
405         }
406       }
407     }
408     *r = row; *c = col; *v = val;
409   } else {
410     nz = 0; val = *v;
411     if (missing) {
412       for (i=0; i <M; i++) {
413         if (PetscUnlikely(adiag[i] >= ai[i+1])) {
414           for (j=ai[i];j<ai[i+1];j++) {
415             if (aj[j] < i) continue;
416             val[nz++] = av[j];
417           }
418         } else {
419           rnz = ai[i+1] - adiag[i];
420           v1  = av + adiag[i];
421           for (j=0; j<rnz; j++) {
422             val[nz++] = v1[j];
423           }
424         }
425       }
426     } else {
427       for (i=0; i <M; i++) {
428         rnz = ai[i+1] - adiag[i];
429         v1  = av + adiag[i];
430         for (j=0; j<rnz; j++) {
431           val[nz++] = v1[j];
432         }
433       }
434     }
435   }
436   PetscFunctionReturn(0);
437 }
438 
439 PetscErrorCode MatConvertToTriples_mpisbaij_mpisbaij(Mat A,int shift,MatReuse reuse,int *nnz,int **r, int **c, PetscScalar **v)
440 {
441   const PetscInt    *ai, *aj, *bi, *bj,*garray,m=A->rmap->n,*ajj,*bjj;
442   PetscErrorCode    ierr;
443   PetscInt          rstart,nz,i,j,jj,irow,countA,countB;
444   PetscInt          *row,*col;
445   const PetscScalar *av, *bv,*v1,*v2;
446   PetscScalar       *val;
447   Mat_MPISBAIJ      *mat = (Mat_MPISBAIJ*)A->data;
448   Mat_SeqSBAIJ      *aa  = (Mat_SeqSBAIJ*)(mat->A)->data;
449   Mat_SeqBAIJ       *bb  = (Mat_SeqBAIJ*)(mat->B)->data;
450 
451   PetscFunctionBegin;
452   ai=aa->i; aj=aa->j; bi=bb->i; bj=bb->j; rstart= A->rmap->rstart;
453   av=aa->a; bv=bb->a;
454 
455   garray = mat->garray;
456 
457   if (reuse == MAT_INITIAL_MATRIX) {
458     nz   = aa->nz + bb->nz;
459     *nnz = nz;
460     ierr = PetscMalloc((2*nz*sizeof(PetscInt)+nz*sizeof(PetscScalar)), &row);CHKERRQ(ierr);
461     col  = row + nz;
462     val  = (PetscScalar*)(col + nz);
463 
464     *r = row; *c = col; *v = val;
465   } else {
466     row = *r; col = *c; val = *v;
467   }
468 
469   jj = 0; irow = rstart;
470   for (i=0; i<m; i++) {
471     ajj    = aj + ai[i];                 /* ptr to the beginning of this row */
472     countA = ai[i+1] - ai[i];
473     countB = bi[i+1] - bi[i];
474     bjj    = bj + bi[i];
475     v1     = av + ai[i];
476     v2     = bv + bi[i];
477 
478     /* A-part */
479     for (j=0; j<countA; j++) {
480       if (reuse == MAT_INITIAL_MATRIX) {
481         row[jj] = irow + shift; col[jj] = rstart + ajj[j] + shift;
482       }
483       val[jj++] = v1[j];
484     }
485 
486     /* B-part */
487     for (j=0; j < countB; j++) {
488       if (reuse == MAT_INITIAL_MATRIX) {
489         row[jj] = irow + shift; col[jj] = garray[bjj[j]] + shift;
490       }
491       val[jj++] = v2[j];
492     }
493     irow++;
494   }
495   PetscFunctionReturn(0);
496 }
497 
498 PetscErrorCode MatConvertToTriples_mpiaij_mpiaij(Mat A,int shift,MatReuse reuse,int *nnz,int **r, int **c, PetscScalar **v)
499 {
500   const PetscInt    *ai, *aj, *bi, *bj,*garray,m=A->rmap->n,*ajj,*bjj;
501   PetscErrorCode    ierr;
502   PetscInt          rstart,nz,i,j,jj,irow,countA,countB;
503   PetscInt          *row,*col;
504   const PetscScalar *av, *bv,*v1,*v2;
505   PetscScalar       *val;
506   Mat_MPIAIJ        *mat = (Mat_MPIAIJ*)A->data;
507   Mat_SeqAIJ        *aa  = (Mat_SeqAIJ*)(mat->A)->data;
508   Mat_SeqAIJ        *bb  = (Mat_SeqAIJ*)(mat->B)->data;
509 
510   PetscFunctionBegin;
511   ai=aa->i; aj=aa->j; bi=bb->i; bj=bb->j; rstart= A->rmap->rstart;
512   av=aa->a; bv=bb->a;
513 
514   garray = mat->garray;
515 
516   if (reuse == MAT_INITIAL_MATRIX) {
517     nz   = aa->nz + bb->nz;
518     *nnz = nz;
519     ierr = PetscMalloc((2*nz*sizeof(PetscInt)+nz*sizeof(PetscScalar)), &row);CHKERRQ(ierr);
520     col  = row + nz;
521     val  = (PetscScalar*)(col + nz);
522 
523     *r = row; *c = col; *v = val;
524   } else {
525     row = *r; col = *c; val = *v;
526   }
527 
528   jj = 0; irow = rstart;
529   for (i=0; i<m; i++) {
530     ajj    = aj + ai[i];                 /* ptr to the beginning of this row */
531     countA = ai[i+1] - ai[i];
532     countB = bi[i+1] - bi[i];
533     bjj    = bj + bi[i];
534     v1     = av + ai[i];
535     v2     = bv + bi[i];
536 
537     /* A-part */
538     for (j=0; j<countA; j++) {
539       if (reuse == MAT_INITIAL_MATRIX) {
540         row[jj] = irow + shift; col[jj] = rstart + ajj[j] + shift;
541       }
542       val[jj++] = v1[j];
543     }
544 
545     /* B-part */
546     for (j=0; j < countB; j++) {
547       if (reuse == MAT_INITIAL_MATRIX) {
548         row[jj] = irow + shift; col[jj] = garray[bjj[j]] + shift;
549       }
550       val[jj++] = v2[j];
551     }
552     irow++;
553   }
554   PetscFunctionReturn(0);
555 }
556 
557 PetscErrorCode MatConvertToTriples_mpibaij_mpiaij(Mat A,int shift,MatReuse reuse,int *nnz,int **r, int **c, PetscScalar **v)
558 {
559   Mat_MPIBAIJ       *mat    = (Mat_MPIBAIJ*)A->data;
560   Mat_SeqBAIJ       *aa     = (Mat_SeqBAIJ*)(mat->A)->data;
561   Mat_SeqBAIJ       *bb     = (Mat_SeqBAIJ*)(mat->B)->data;
562   const PetscInt    *ai     = aa->i, *bi = bb->i, *aj = aa->j, *bj = bb->j,*ajj, *bjj;
563   const PetscInt    *garray = mat->garray,mbs=mat->mbs,rstart=A->rmap->rstart;
564   const PetscInt    bs2=mat->bs2;
565   PetscErrorCode    ierr;
566   PetscInt          bs,nz,i,j,k,n,jj,irow,countA,countB,idx;
567   PetscInt          *row,*col;
568   const PetscScalar *av=aa->a, *bv=bb->a,*v1,*v2;
569   PetscScalar       *val;
570 
571   PetscFunctionBegin;
572   ierr = MatGetBlockSize(A,&bs);CHKERRQ(ierr);
573   if (reuse == MAT_INITIAL_MATRIX) {
574     nz   = bs2*(aa->nz + bb->nz);
575     *nnz = nz;
576     ierr = PetscMalloc((2*nz*sizeof(PetscInt)+nz*sizeof(PetscScalar)), &row);CHKERRQ(ierr);
577     col  = row + nz;
578     val  = (PetscScalar*)(col + nz);
579 
580     *r = row; *c = col; *v = val;
581   } else {
582     row = *r; col = *c; val = *v;
583   }
584 
585   jj = 0; irow = rstart;
586   for (i=0; i<mbs; i++) {
587     countA = ai[i+1] - ai[i];
588     countB = bi[i+1] - bi[i];
589     ajj    = aj + ai[i];
590     bjj    = bj + bi[i];
591     v1     = av + bs2*ai[i];
592     v2     = bv + bs2*bi[i];
593 
594     idx = 0;
595     /* A-part */
596     for (k=0; k<countA; k++) {
597       for (j=0; j<bs; j++) {
598         for (n=0; n<bs; n++) {
599           if (reuse == MAT_INITIAL_MATRIX) {
600             row[jj] = irow + n + shift;
601             col[jj] = rstart + bs*ajj[k] + j + shift;
602           }
603           val[jj++] = v1[idx++];
604         }
605       }
606     }
607 
608     idx = 0;
609     /* B-part */
610     for (k=0; k<countB; k++) {
611       for (j=0; j<bs; j++) {
612         for (n=0; n<bs; n++) {
613           if (reuse == MAT_INITIAL_MATRIX) {
614             row[jj] = irow + n + shift;
615             col[jj] = bs*garray[bjj[k]] + j + shift;
616           }
617           val[jj++] = v2[idx++];
618         }
619       }
620     }
621     irow += bs;
622   }
623   PetscFunctionReturn(0);
624 }
625 
626 PetscErrorCode MatConvertToTriples_mpiaij_mpisbaij(Mat A,int shift,MatReuse reuse,int *nnz,int **r, int **c, PetscScalar **v)
627 {
628   const PetscInt    *ai, *aj,*adiag, *bi, *bj,*garray,m=A->rmap->n,*ajj,*bjj;
629   PetscErrorCode    ierr;
630   PetscInt          rstart,nz,nza,nzb,i,j,jj,irow,countA,countB;
631   PetscInt          *row,*col;
632   const PetscScalar *av, *bv,*v1,*v2;
633   PetscScalar       *val;
634   Mat_MPIAIJ        *mat =  (Mat_MPIAIJ*)A->data;
635   Mat_SeqAIJ        *aa  =(Mat_SeqAIJ*)(mat->A)->data;
636   Mat_SeqAIJ        *bb  =(Mat_SeqAIJ*)(mat->B)->data;
637 
638   PetscFunctionBegin;
639   ai=aa->i; aj=aa->j; adiag=aa->diag;
640   bi=bb->i; bj=bb->j; garray = mat->garray;
641   av=aa->a; bv=bb->a;
642 
643   rstart = A->rmap->rstart;
644 
645   if (reuse == MAT_INITIAL_MATRIX) {
646     nza = 0;    /* num of upper triangular entries in mat->A, including diagonals */
647     nzb = 0;    /* num of upper triangular entries in mat->B */
648     for (i=0; i<m; i++) {
649       nza   += (ai[i+1] - adiag[i]);
650       countB = bi[i+1] - bi[i];
651       bjj    = bj + bi[i];
652       for (j=0; j<countB; j++) {
653         if (garray[bjj[j]] > rstart) nzb++;
654       }
655     }
656 
657     nz   = nza + nzb; /* total nz of upper triangular part of mat */
658     *nnz = nz;
659     ierr = PetscMalloc((2*nz*sizeof(PetscInt)+nz*sizeof(PetscScalar)), &row);CHKERRQ(ierr);
660     col  = row + nz;
661     val  = (PetscScalar*)(col + nz);
662 
663     *r = row; *c = col; *v = val;
664   } else {
665     row = *r; col = *c; val = *v;
666   }
667 
668   jj = 0; irow = rstart;
669   for (i=0; i<m; i++) {
670     ajj    = aj + adiag[i];                 /* ptr to the beginning of the diagonal of this row */
671     v1     = av + adiag[i];
672     countA = ai[i+1] - adiag[i];
673     countB = bi[i+1] - bi[i];
674     bjj    = bj + bi[i];
675     v2     = bv + bi[i];
676 
677     /* A-part */
678     for (j=0; j<countA; j++) {
679       if (reuse == MAT_INITIAL_MATRIX) {
680         row[jj] = irow + shift; col[jj] = rstart + ajj[j] + shift;
681       }
682       val[jj++] = v1[j];
683     }
684 
685     /* B-part */
686     for (j=0; j < countB; j++) {
687       if (garray[bjj[j]] > rstart) {
688         if (reuse == MAT_INITIAL_MATRIX) {
689           row[jj] = irow + shift; col[jj] = garray[bjj[j]] + shift;
690         }
691         val[jj++] = v2[j];
692       }
693     }
694     irow++;
695   }
696   PetscFunctionReturn(0);
697 }
698 
699 PetscErrorCode MatDestroy_MUMPS(Mat A)
700 {
701   Mat_MUMPS      *mumps=(Mat_MUMPS*)A->data;
702   PetscErrorCode ierr;
703 
704   PetscFunctionBegin;
705   ierr = PetscFree2(mumps->id.sol_loc,mumps->id.isol_loc);CHKERRQ(ierr);
706   ierr = VecScatterDestroy(&mumps->scat_rhs);CHKERRQ(ierr);
707   ierr = VecScatterDestroy(&mumps->scat_sol);CHKERRQ(ierr);
708   ierr = VecDestroy(&mumps->b_seq);CHKERRQ(ierr);
709   ierr = VecDestroy(&mumps->x_seq);CHKERRQ(ierr);
710   ierr = PetscFree(mumps->id.perm_in);CHKERRQ(ierr);
711   ierr = PetscFree(mumps->irn);CHKERRQ(ierr);
712   ierr = PetscFree(mumps->info);CHKERRQ(ierr);
713   ierr = MatMumpsResetSchur_Private(mumps);CHKERRQ(ierr);
714   mumps->id.job = JOB_END;
715   PetscMUMPS_c(&mumps->id);
716   ierr = MPI_Comm_free(&mumps->comm_mumps);CHKERRQ(ierr);
717   ierr = PetscFree(A->data);CHKERRQ(ierr);
718 
719   /* clear composed functions */
720   ierr = PetscObjectComposeFunction((PetscObject)A,"MatFactorGetSolverType_C",NULL);CHKERRQ(ierr);
721   ierr = PetscObjectComposeFunction((PetscObject)A,"MatFactorSetSchurIS_C",NULL);CHKERRQ(ierr);
722   ierr = PetscObjectComposeFunction((PetscObject)A,"MatFactorCreateSchurComplement_C",NULL);CHKERRQ(ierr);
723   ierr = PetscObjectComposeFunction((PetscObject)A,"MatMumpsSetIcntl_C",NULL);CHKERRQ(ierr);
724   ierr = PetscObjectComposeFunction((PetscObject)A,"MatMumpsGetIcntl_C",NULL);CHKERRQ(ierr);
725   ierr = PetscObjectComposeFunction((PetscObject)A,"MatMumpsSetCntl_C",NULL);CHKERRQ(ierr);
726   ierr = PetscObjectComposeFunction((PetscObject)A,"MatMumpsGetCntl_C",NULL);CHKERRQ(ierr);
727   ierr = PetscObjectComposeFunction((PetscObject)A,"MatMumpsGetInfo_C",NULL);CHKERRQ(ierr);
728   ierr = PetscObjectComposeFunction((PetscObject)A,"MatMumpsGetInfog_C",NULL);CHKERRQ(ierr);
729   ierr = PetscObjectComposeFunction((PetscObject)A,"MatMumpsGetRinfo_C",NULL);CHKERRQ(ierr);
730   ierr = PetscObjectComposeFunction((PetscObject)A,"MatMumpsGetRinfog_C",NULL);CHKERRQ(ierr);
731   ierr = PetscObjectComposeFunction((PetscObject)A,"MatMumpsGetInverse_C",NULL);CHKERRQ(ierr);
732   PetscFunctionReturn(0);
733 }
734 
735 PetscErrorCode MatSolve_MUMPS(Mat A,Vec b,Vec x)
736 {
737   Mat_MUMPS        *mumps=(Mat_MUMPS*)A->data;
738   PetscScalar      *array;
739   Vec              b_seq;
740   IS               is_iden,is_petsc;
741   PetscErrorCode   ierr;
742   PetscInt         i;
743   PetscBool        second_solve = PETSC_FALSE;
744   static PetscBool cite1 = PETSC_FALSE,cite2 = PETSC_FALSE;
745 
746   PetscFunctionBegin;
747   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);
748   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);
749 
750   if (A->factorerrortype) {
751     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);
752     ierr = VecSetInf(x);CHKERRQ(ierr);
753     PetscFunctionReturn(0);
754   }
755 
756   mumps->id.nrhs = 1;
757   b_seq          = mumps->b_seq;
758   if (mumps->size > 1) {
759     /* MUMPS only supports centralized rhs. Scatter b into a seqential rhs vector */
760     ierr = VecScatterBegin(mumps->scat_rhs,b,b_seq,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
761     ierr = VecScatterEnd(mumps->scat_rhs,b,b_seq,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
762     if (!mumps->myid) {ierr = VecGetArray(b_seq,&array);CHKERRQ(ierr);}
763   } else {  /* size == 1 */
764     ierr = VecCopy(b,x);CHKERRQ(ierr);
765     ierr = VecGetArray(x,&array);CHKERRQ(ierr);
766   }
767   if (!mumps->myid) { /* define rhs on the host */
768     mumps->id.nrhs = 1;
769     mumps->id.rhs = (MumpsScalar*)array;
770   }
771 
772   /*
773      handle condensation step of Schur complement (if any)
774      We set by default ICNTL(26) == -1 when Schur indices have been provided by the user.
775      According to MUMPS (5.0.0) manual, any value should be harmful during the factorization phase
776      Unless the user provides a valid value for ICNTL(26), MatSolve and MatMatSolve routines solve the full system.
777      This requires an extra call to PetscMUMPS_c and the computation of the factors for S
778   */
779   if (mumps->id.ICNTL(26) < 0 || mumps->id.ICNTL(26) > 2) {
780     if (mumps->size > 1) SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_SUP,"Parallel Schur complements not yet supported from PETSc\n");
781     second_solve = PETSC_TRUE;
782     ierr = MatMumpsHandleSchur_Private(A,PETSC_FALSE);CHKERRQ(ierr);
783   }
784   /* solve phase */
785   /*-------------*/
786   mumps->id.job = JOB_SOLVE;
787   PetscMUMPS_c(&mumps->id);
788   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));
789 
790   /* handle expansion step of Schur complement (if any) */
791   if (second_solve) {
792     ierr = MatMumpsHandleSchur_Private(A,PETSC_TRUE);CHKERRQ(ierr);
793   }
794 
795   if (mumps->size > 1) { /* convert mumps distributed solution to petsc mpi x */
796     if (mumps->scat_sol && mumps->ICNTL9_pre != mumps->id.ICNTL(9)) {
797       /* when id.ICNTL(9) changes, the contents of lsol_loc may change (not its size, lsol_loc), recreates scat_sol */
798       ierr = VecScatterDestroy(&mumps->scat_sol);CHKERRQ(ierr);
799     }
800     if (!mumps->scat_sol) { /* create scatter scat_sol */
801       ierr = ISCreateStride(PETSC_COMM_SELF,mumps->id.lsol_loc,0,1,&is_iden);CHKERRQ(ierr); /* from */
802       for (i=0; i<mumps->id.lsol_loc; i++) {
803         mumps->id.isol_loc[i] -= 1; /* change Fortran style to C style */
804       }
805       ierr = ISCreateGeneral(PETSC_COMM_SELF,mumps->id.lsol_loc,mumps->id.isol_loc,PETSC_COPY_VALUES,&is_petsc);CHKERRQ(ierr);  /* to */
806       ierr = VecScatterCreate(mumps->x_seq,is_iden,x,is_petsc,&mumps->scat_sol);CHKERRQ(ierr);
807       ierr = ISDestroy(&is_iden);CHKERRQ(ierr);
808       ierr = ISDestroy(&is_petsc);CHKERRQ(ierr);
809 
810       mumps->ICNTL9_pre = mumps->id.ICNTL(9); /* save current value of id.ICNTL(9) */
811     }
812 
813     ierr = VecScatterBegin(mumps->scat_sol,mumps->x_seq,x,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
814     ierr = VecScatterEnd(mumps->scat_sol,mumps->x_seq,x,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
815   }
816   PetscFunctionReturn(0);
817 }
818 
819 PetscErrorCode MatSolveTranspose_MUMPS(Mat A,Vec b,Vec x)
820 {
821   Mat_MUMPS      *mumps=(Mat_MUMPS*)A->data;
822   PetscErrorCode ierr;
823 
824   PetscFunctionBegin;
825   mumps->id.ICNTL(9) = 0;
826   ierr = MatSolve_MUMPS(A,b,x);CHKERRQ(ierr);
827   mumps->id.ICNTL(9) = 1;
828   PetscFunctionReturn(0);
829 }
830 
831 PetscErrorCode MatMatSolve_MUMPS(Mat A,Mat B,Mat X)
832 {
833   PetscErrorCode ierr;
834   Mat            Bt = NULL;
835   PetscBool      flg, flgT;
836   Mat_MUMPS      *mumps=(Mat_MUMPS*)A->data;
837   PetscInt       i,nrhs,M;
838   PetscScalar    *array,*bray;
839 
840   PetscFunctionBegin;
841   ierr = PetscObjectTypeCompareAny((PetscObject)B,&flg,MATSEQDENSE,MATMPIDENSE,NULL);CHKERRQ(ierr);
842   ierr = PetscObjectTypeCompare((PetscObject)B,MATTRANSPOSEMAT,&flgT);CHKERRQ(ierr);
843   if (flgT) {
844     /* sparse B */
845     ierr = MatTransposeGetMat(B,&Bt);CHKERRQ(ierr);
846   } else {
847     /* dense B */
848     if (!flg) SETERRQ(PetscObjectComm((PetscObject)B),PETSC_ERR_ARG_WRONG,"Matrix B must be MATDENSE matrix");
849     if (B->rmap->n != X->rmap->n) SETERRQ(PetscObjectComm((PetscObject)B),PETSC_ERR_ARG_WRONG,"Matrix B and X must have same row distribution");
850   }
851 
852   ierr = MatGetSize(B,&M,&nrhs);CHKERRQ(ierr);
853   mumps->id.nrhs = nrhs;
854   mumps->id.lrhs = M;
855   mumps->id.rhs  = NULL;
856 
857   ierr = PetscObjectTypeCompareAny((PetscObject)X,&flg,MATSEQDENSE,MATMPIDENSE,NULL);CHKERRQ(ierr);
858   if (!flg) SETERRQ(PetscObjectComm((PetscObject)X),PETSC_ERR_ARG_WRONG,"Matrix X must be MATDENSE matrix");
859 
860   if (mumps->size == 1) {
861     PetscScalar *aa;
862     PetscInt    spnr,*ia,*ja;
863     PetscBool   second_solve = PETSC_FALSE;
864 
865     ierr = MatDenseGetArray(X,&array);CHKERRQ(ierr);
866     mumps->id.rhs = (MumpsScalar*)array;
867 
868     if (!Bt) { /* dense B */
869       /* copy B to X */
870       ierr = MatDenseGetArray(B,&bray);CHKERRQ(ierr);
871       ierr = PetscMemcpy(array,bray,M*nrhs*sizeof(PetscScalar));CHKERRQ(ierr);
872       ierr = MatDenseRestoreArray(B,&bray);CHKERRQ(ierr);
873     } else { /* sparse B */
874       PetscBool done;
875 
876       ierr = MatSeqAIJGetArray(Bt,&aa);CHKERRQ(ierr);
877       ierr = MatGetRowIJ(Bt,1,PETSC_FALSE,PETSC_FALSE,&spnr,(const PetscInt**)&ia,(const PetscInt**)&ja,&done);CHKERRQ(ierr);
878       if (!done) SETERRQ(PetscObjectComm((PetscObject)Bt),PETSC_ERR_ARG_WRONG,"Cannot get IJ structure");
879       /* mumps requires ia and ja start at 1! */
880       mumps->id.irhs_ptr    = ia;
881       mumps->id.irhs_sparse = ja;
882       mumps->id.nz_rhs      = ia[spnr] - 1;
883       mumps->id.rhs_sparse  = (MumpsScalar*)aa;
884       mumps->id.ICNTL(20)   = 1;
885     }
886     /* handle condensation step of Schur complement (if any) */
887     if (mumps->id.ICNTL(26) < 0 || mumps->id.ICNTL(26) > 2) {
888       second_solve = PETSC_TRUE;
889       ierr = MatMumpsHandleSchur_Private(A,PETSC_FALSE);CHKERRQ(ierr);
890     }
891     /* solve phase */
892     /*-------------*/
893     mumps->id.job = JOB_SOLVE;
894     PetscMUMPS_c(&mumps->id);
895     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));
896 
897     /* handle expansion step of Schur complement (if any) */
898     if (second_solve) {
899       ierr = MatMumpsHandleSchur_Private(A,PETSC_TRUE);CHKERRQ(ierr);
900     }
901     if (Bt) { /* sparse B */
902       PetscBool done;
903 
904       ierr = MatSeqAIJRestoreArray(Bt,&aa);CHKERRQ(ierr);
905       ierr = MatRestoreRowIJ(Bt,1,PETSC_FALSE,PETSC_FALSE,&spnr,(const PetscInt**)&ia,(const PetscInt**)&ja,&done);CHKERRQ(ierr);
906       if (!done) SETERRQ(PetscObjectComm((PetscObject)Bt),PETSC_ERR_ARG_WRONG,"Cannot restore IJ structure");
907       mumps->id.ICNTL(20) = 0;
908     }
909     ierr = MatDenseRestoreArray(X,&array);CHKERRQ(ierr);
910   } else {  /*--------- parallel case --------*/
911     PetscInt       lsol_loc,nlsol_loc,*isol_loc,*idx,*iidx,*idxx,*isol_loc_save;
912     MumpsScalar    *sol_loc,*sol_loc_save;
913     IS             is_to,is_from;
914     PetscInt       k,proc,j,m;
915     const PetscInt *rstart;
916     Vec            v_mpi,b_seq,x_seq;
917     VecScatter     scat_rhs,scat_sol;
918     PetscScalar    *aa;
919     PetscInt       spnr,*ia,*ja;
920     PetscBool      done;
921     Mat_MPIAIJ     *b;
922 
923     if (mumps->size > 1 && mumps->id.ICNTL(19)) SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_SUP,"Parallel Schur complements not yet supported from PETSc\n");
924 
925     /* create x_seq to hold local solution */
926     isol_loc_save = mumps->id.isol_loc; /* save it for MatSovle() */
927     sol_loc_save  = mumps->id.sol_loc;
928 
929     lsol_loc  = mumps->id.INFO(23);
930     nlsol_loc = nrhs*lsol_loc;     /* length of sol_loc */
931     ierr = PetscMalloc2(nlsol_loc,&sol_loc,nlsol_loc,&isol_loc);CHKERRQ(ierr);
932     mumps->id.sol_loc = (MumpsScalar*)sol_loc;
933     mumps->id.isol_loc = isol_loc;
934 
935     ierr = VecCreateSeqWithArray(PETSC_COMM_SELF,1,nlsol_loc,(PetscScalar*)sol_loc,&x_seq);CHKERRQ(ierr);
936 
937     /* scatter v_mpi to b_seq because MUMPS only supports centralized rhs */
938     /* idx: maps from k-th index of v_mpi to (i,j)-th global entry of B;
939       iidx: inverse of idx, will be used by scattering mumps x_seq -> petsc X */
940     ierr = PetscMalloc2(nrhs*M,&idx,nrhs*M,&iidx);CHKERRQ(ierr);
941 
942     ierr = MatGetOwnershipRanges(X,&rstart);CHKERRQ(ierr);
943     k = 0;
944     for (proc=0; proc<mumps->size; proc++){
945       for (j=0; j<nrhs; j++){
946         for (i=rstart[proc]; i<rstart[proc+1]; i++){
947           iidx[j*M + i] = k;
948           idx[k++]      = j*M + i;
949         }
950       }
951     }
952 
953     if (!Bt) { /* dense B */
954       /* copy dense rhs matrix B into vector v_mpi */
955       ierr = MatGetLocalSize(B,&m,NULL);CHKERRQ(ierr);
956       ierr = MatDenseGetArray(B,&bray);CHKERRQ(ierr);
957       ierr = VecCreateMPIWithArray(PetscObjectComm((PetscObject)B),1,nrhs*m,nrhs*M,(const PetscScalar*)bray,&v_mpi);CHKERRQ(ierr);
958       ierr = MatDenseRestoreArray(B,&bray);CHKERRQ(ierr);
959 
960       if (!mumps->myid) {
961         ierr = VecCreateSeq(PETSC_COMM_SELF,nrhs*M,&b_seq);CHKERRQ(ierr);
962         ierr = ISCreateGeneral(PETSC_COMM_SELF,nrhs*M,idx,PETSC_COPY_VALUES,&is_to);CHKERRQ(ierr);
963         ierr = ISCreateStride(PETSC_COMM_SELF,nrhs*M,0,1,&is_from);CHKERRQ(ierr);
964       } else {
965         ierr = VecCreateSeq(PETSC_COMM_SELF,0,&b_seq);CHKERRQ(ierr);
966         ierr = ISCreateStride(PETSC_COMM_SELF,0,0,1,&is_to);CHKERRQ(ierr);
967         ierr = ISCreateStride(PETSC_COMM_SELF,0,0,1,&is_from);CHKERRQ(ierr);
968       }
969       ierr = VecScatterCreate(v_mpi,is_from,b_seq,is_to,&scat_rhs);CHKERRQ(ierr);
970       ierr = VecScatterBegin(scat_rhs,v_mpi,b_seq,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
971       ierr = ISDestroy(&is_to);CHKERRQ(ierr);
972       ierr = ISDestroy(&is_from);CHKERRQ(ierr);
973       ierr = VecScatterEnd(scat_rhs,v_mpi,b_seq,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
974 
975       if (!mumps->myid) { /* define rhs on the host */
976         ierr = VecGetArray(b_seq,&bray);CHKERRQ(ierr);
977         mumps->id.rhs = (MumpsScalar*)bray;
978         ierr = VecRestoreArray(b_seq,&bray);CHKERRQ(ierr);
979       }
980 
981     } else { /* sparse B */
982       b = (Mat_MPIAIJ*)Bt->data;
983 
984       /* scatter v_mpi to shard local arrays with X */
985       ierr = MatGetLocalSize(X,&m,NULL);CHKERRQ(ierr);
986       ierr = MatDenseGetArray(X,&bray);CHKERRQ(ierr);
987       ierr = VecCreateMPIWithArray(PetscObjectComm((PetscObject)X),1,nrhs*m,nrhs*M,(const PetscScalar*)bray,&v_mpi);CHKERRQ(ierr);
988       ierr = MatDenseRestoreArray(X,&bray);CHKERRQ(ierr);
989 
990       if (!mumps->myid) {
991         ierr = MatSeqAIJGetArray(b->A,&aa);CHKERRQ(ierr);
992         ierr = MatGetRowIJ(b->A,1,PETSC_FALSE,PETSC_FALSE,&spnr,(const PetscInt**)&ia,(const PetscInt**)&ja,&done);CHKERRQ(ierr);
993         if (!done) SETERRQ(PetscObjectComm((PetscObject)Bt),PETSC_ERR_ARG_WRONG,"Cannot get IJ structure");
994         /* mumps requires ia and ja start at 1! */
995         mumps->id.irhs_ptr    = ia;
996         mumps->id.irhs_sparse = ja;
997         mumps->id.nz_rhs      = ia[spnr] - 1;
998         mumps->id.rhs_sparse  = (MumpsScalar*)aa;
999       } else {
1000         mumps->id.irhs_ptr    = NULL;
1001         mumps->id.irhs_sparse = NULL;
1002         mumps->id.nz_rhs      = 0;
1003         mumps->id.rhs_sparse  = NULL;
1004       }
1005       mumps->id.ICNTL(20)   = 1; /* rhs is sparse */
1006     }
1007 
1008     /* solve phase */
1009     /*-------------*/
1010     mumps->id.job = JOB_SOLVE;
1011     PetscMUMPS_c(&mumps->id);
1012     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));
1013 
1014     /* scatter mumps distributed solution to petsc vector v_mpi, which shares local arrays with solution matrix X */
1015     ierr = MatDenseGetArray(X,&array);CHKERRQ(ierr);
1016     ierr = VecPlaceArray(v_mpi,array);CHKERRQ(ierr);
1017 
1018     /* create scatter scat_sol */
1019     ierr = PetscMalloc1(nlsol_loc,&idxx);CHKERRQ(ierr);
1020     ierr = ISCreateStride(PETSC_COMM_SELF,nlsol_loc,0,1,&is_from);CHKERRQ(ierr);
1021     for (i=0; i<lsol_loc; i++) {
1022       isol_loc[i] -= 1; /* change Fortran style to C style */
1023       idxx[i] = iidx[isol_loc[i]];
1024       for (j=1; j<nrhs; j++){
1025         idxx[j*lsol_loc+i] = iidx[isol_loc[i]+j*M];
1026       }
1027     }
1028     ierr = ISCreateGeneral(PETSC_COMM_SELF,nlsol_loc,idxx,PETSC_COPY_VALUES,&is_to);CHKERRQ(ierr);  //is_to is gabage!!!
1029     ierr = VecScatterCreate(x_seq,is_from,v_mpi,is_to,&scat_sol);CHKERRQ(ierr);
1030     ierr = VecScatterBegin(scat_sol,x_seq,v_mpi,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1031     ierr = ISDestroy(&is_from);CHKERRQ(ierr);
1032     ierr = ISDestroy(&is_to);CHKERRQ(ierr);
1033     ierr = VecScatterEnd(scat_sol,x_seq,v_mpi,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1034     ierr = MatDenseRestoreArray(X,&array);CHKERRQ(ierr);
1035 
1036     /* free spaces */
1037     mumps->id.sol_loc = sol_loc_save;
1038     mumps->id.isol_loc = isol_loc_save;
1039 
1040     ierr = PetscFree2(sol_loc,isol_loc);CHKERRQ(ierr);
1041     ierr = PetscFree2(idx,iidx);CHKERRQ(ierr);
1042     ierr = PetscFree(idxx);CHKERRQ(ierr);
1043     ierr = VecDestroy(&x_seq);CHKERRQ(ierr);
1044     ierr = VecDestroy(&v_mpi);CHKERRQ(ierr);
1045     if (Bt) {
1046       if (!mumps->myid) {
1047         ierr = MatSeqAIJRestoreArray(b->A,&aa);CHKERRQ(ierr);
1048         ierr = MatRestoreRowIJ(b->A,1,PETSC_FALSE,PETSC_FALSE,&spnr,(const PetscInt**)&ia,(const PetscInt**)&ja,&done);CHKERRQ(ierr);
1049         if (!done) SETERRQ(PetscObjectComm((PetscObject)Bt),PETSC_ERR_ARG_WRONG,"Cannot restore IJ structure");
1050       }
1051     } else {
1052       ierr = VecDestroy(&b_seq);CHKERRQ(ierr);
1053       ierr = VecScatterDestroy(&scat_rhs);CHKERRQ(ierr);
1054     }
1055     ierr = VecScatterDestroy(&scat_sol);CHKERRQ(ierr);
1056   }
1057   PetscFunctionReturn(0);
1058 }
1059 
1060 #if !defined(PETSC_USE_COMPLEX)
1061 /*
1062   input:
1063    F:        numeric factor
1064   output:
1065    nneg:     total number of negative pivots
1066    nzero:    total number of zero pivots
1067    npos:     (global dimension of F) - nneg - nzero
1068 */
1069 PetscErrorCode MatGetInertia_SBAIJMUMPS(Mat F,int *nneg,int *nzero,int *npos)
1070 {
1071   Mat_MUMPS      *mumps =(Mat_MUMPS*)F->data;
1072   PetscErrorCode ierr;
1073   PetscMPIInt    size;
1074 
1075   PetscFunctionBegin;
1076   ierr = MPI_Comm_size(PetscObjectComm((PetscObject)F),&size);CHKERRQ(ierr);
1077   /* 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 */
1078   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));
1079 
1080   if (nneg) *nneg = mumps->id.INFOG(12);
1081   if (nzero || npos) {
1082     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");
1083     if (nzero) *nzero = mumps->id.INFOG(28);
1084     if (npos) *npos   = F->rmap->N - (mumps->id.INFOG(12) + mumps->id.INFOG(28));
1085   }
1086   PetscFunctionReturn(0);
1087 }
1088 #endif
1089 
1090 PetscErrorCode MatFactorNumeric_MUMPS(Mat F,Mat A,const MatFactorInfo *info)
1091 {
1092   Mat_MUMPS      *mumps =(Mat_MUMPS*)(F)->data;
1093   PetscErrorCode ierr;
1094   PetscBool      isMPIAIJ;
1095 
1096   PetscFunctionBegin;
1097   if (mumps->id.INFOG(1) < 0) {
1098     if (mumps->id.INFOG(1) == -6) {
1099       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);
1100     }
1101     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);
1102     PetscFunctionReturn(0);
1103   }
1104 
1105   ierr = (*mumps->ConvertToTriples)(A, 1, MAT_REUSE_MATRIX, &mumps->nz, &mumps->irn, &mumps->jcn, &mumps->val);CHKERRQ(ierr);
1106 
1107   /* numerical factorization phase */
1108   /*-------------------------------*/
1109   mumps->id.job = JOB_FACTNUMERIC;
1110   if (!mumps->id.ICNTL(18)) { /* A is centralized */
1111     if (!mumps->myid) {
1112       mumps->id.a = (MumpsScalar*)mumps->val;
1113     }
1114   } else {
1115     mumps->id.a_loc = (MumpsScalar*)mumps->val;
1116   }
1117   PetscMUMPS_c(&mumps->id);
1118   if (mumps->id.INFOG(1) < 0) {
1119     if (A->erroriffailure) {
1120       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));
1121     } else {
1122       if (mumps->id.INFOG(1) == -10) { /* numerically singular matrix */
1123         ierr = PetscInfo2(F,"matrix is numerically singular, INFOG(1)=%d, INFO(2)=%d\n",mumps->id.INFOG(1),mumps->id.INFO(2));CHKERRQ(ierr);
1124         F->factorerrortype = MAT_FACTOR_NUMERIC_ZEROPIVOT;
1125       } else if (mumps->id.INFOG(1) == -13) {
1126         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);
1127         F->factorerrortype = MAT_FACTOR_OUTMEMORY;
1128       } else if (mumps->id.INFOG(1) == -8 || mumps->id.INFOG(1) == -9 || (-16 < mumps->id.INFOG(1) && mumps->id.INFOG(1) < -10) ) {
1129         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);
1130         F->factorerrortype = MAT_FACTOR_OUTMEMORY;
1131       } else {
1132         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);
1133         F->factorerrortype = MAT_FACTOR_OTHER;
1134       }
1135     }
1136   }
1137   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));
1138 
1139   F->assembled    = PETSC_TRUE;
1140   mumps->matstruc = SAME_NONZERO_PATTERN;
1141   if (F->schur) { /* reset Schur status to unfactored */
1142     if (mumps->id.ICNTL(19) == 1) { /* stored by rows */
1143       mumps->id.ICNTL(19) = 2;
1144       ierr = MatTranspose(F->schur,MAT_INPLACE_MATRIX,&F->schur);CHKERRQ(ierr);
1145     }
1146     ierr = MatFactorRestoreSchurComplement(F,NULL,MAT_FACTOR_SCHUR_UNFACTORED);CHKERRQ(ierr);
1147   }
1148 
1149   /* just to be sure that ICNTL(19) value returned by a call from MatMumpsGetIcntl is always consistent */
1150   if (!mumps->sym && mumps->id.ICNTL(19) && mumps->id.ICNTL(19) != 1) mumps->id.ICNTL(19) = 3;
1151 
1152   if (mumps->size > 1) {
1153     PetscInt    lsol_loc;
1154     PetscScalar *sol_loc;
1155 
1156     ierr = PetscObjectTypeCompare((PetscObject)A,MATMPIAIJ,&isMPIAIJ);CHKERRQ(ierr);
1157 
1158     /* distributed solution; Create x_seq=sol_loc for repeated use */
1159     if (mumps->x_seq) {
1160       ierr = VecScatterDestroy(&mumps->scat_sol);CHKERRQ(ierr);
1161       ierr = PetscFree2(mumps->id.sol_loc,mumps->id.isol_loc);CHKERRQ(ierr);
1162       ierr = VecDestroy(&mumps->x_seq);CHKERRQ(ierr);
1163     }
1164     lsol_loc = mumps->id.INFO(23); /* length of sol_loc */
1165     ierr = PetscMalloc2(lsol_loc,&sol_loc,lsol_loc,&mumps->id.isol_loc);CHKERRQ(ierr);
1166     mumps->id.lsol_loc = lsol_loc;
1167     mumps->id.sol_loc = (MumpsScalar*)sol_loc;
1168     ierr = VecCreateSeqWithArray(PETSC_COMM_SELF,1,lsol_loc,sol_loc,&mumps->x_seq);CHKERRQ(ierr);
1169   }
1170   PetscFunctionReturn(0);
1171 }
1172 
1173 /* Sets MUMPS options from the options database */
1174 PetscErrorCode PetscSetMUMPSFromOptions(Mat F, Mat A)
1175 {
1176   Mat_MUMPS      *mumps = (Mat_MUMPS*)F->data;
1177   PetscErrorCode ierr;
1178   PetscInt       icntl,info[40],i,ninfo=40;
1179   PetscBool      flg;
1180 
1181   PetscFunctionBegin;
1182   ierr = PetscOptionsBegin(PetscObjectComm((PetscObject)A),((PetscObject)A)->prefix,"MUMPS Options","Mat");CHKERRQ(ierr);
1183   ierr = PetscOptionsInt("-mat_mumps_icntl_1","ICNTL(1): output stream for error messages","None",mumps->id.ICNTL(1),&icntl,&flg);CHKERRQ(ierr);
1184   if (flg) mumps->id.ICNTL(1) = icntl;
1185   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);
1186   if (flg) mumps->id.ICNTL(2) = icntl;
1187   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);
1188   if (flg) mumps->id.ICNTL(3) = icntl;
1189 
1190   ierr = PetscOptionsInt("-mat_mumps_icntl_4","ICNTL(4): level of printing (0 to 4)","None",mumps->id.ICNTL(4),&icntl,&flg);CHKERRQ(ierr);
1191   if (flg) mumps->id.ICNTL(4) = icntl;
1192   if (mumps->id.ICNTL(4) || PetscLogPrintInfo) mumps->id.ICNTL(3) = 6; /* resume MUMPS default id.ICNTL(3) = 6 */
1193 
1194   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);
1195   if (flg) mumps->id.ICNTL(6) = icntl;
1196 
1197   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);
1198   if (flg) {
1199     if (icntl== 1 && mumps->size > 1) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"pivot order be set by the user in PERM_IN -- not supported by the PETSc/MUMPS interface\n");
1200     else mumps->id.ICNTL(7) = icntl;
1201   }
1202 
1203   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);
1204   /* 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() */
1205   ierr = PetscOptionsInt("-mat_mumps_icntl_10","ICNTL(10): max num of refinements","None",mumps->id.ICNTL(10),&mumps->id.ICNTL(10),NULL);CHKERRQ(ierr);
1206   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);
1207   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);
1208   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);
1209   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);
1210   ierr = PetscOptionsInt("-mat_mumps_icntl_19","ICNTL(19): computes the Schur complement","None",mumps->id.ICNTL(19),&mumps->id.ICNTL(19),NULL);CHKERRQ(ierr);
1211   if (mumps->id.ICNTL(19) <= 0 || mumps->id.ICNTL(19) > 3) { /* reset any schur data (if any) */
1212     ierr = MatDestroy(&F->schur);CHKERRQ(ierr);
1213     ierr = MatMumpsResetSchur_Private(mumps);CHKERRQ(ierr);
1214   }
1215   /* 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 */
1216   /* 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 */
1217 
1218   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);
1219   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);
1220   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);
1221   if (mumps->id.ICNTL(24)) {
1222     mumps->id.ICNTL(13) = 1; /* turn-off ScaLAPACK to help with the correct detection of null pivots */
1223   }
1224 
1225   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);
1226   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);
1227   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);
1228   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);
1229   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);
1230   /* 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 */
1231   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);
1232   /* 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 */
1233   ierr = PetscOptionsInt("-mat_mumps_icntl_33","ICNTL(33): compute determinant","None",mumps->id.ICNTL(33),&mumps->id.ICNTL(33),NULL);CHKERRQ(ierr);
1234   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);
1235 
1236   ierr = PetscOptionsReal("-mat_mumps_cntl_1","CNTL(1): relative pivoting threshold","None",mumps->id.CNTL(1),&mumps->id.CNTL(1),NULL);CHKERRQ(ierr);
1237   ierr = PetscOptionsReal("-mat_mumps_cntl_2","CNTL(2): stopping criterion of refinement","None",mumps->id.CNTL(2),&mumps->id.CNTL(2),NULL);CHKERRQ(ierr);
1238   ierr = PetscOptionsReal("-mat_mumps_cntl_3","CNTL(3): absolute pivoting threshold","None",mumps->id.CNTL(3),&mumps->id.CNTL(3),NULL);CHKERRQ(ierr);
1239   ierr = PetscOptionsReal("-mat_mumps_cntl_4","CNTL(4): value for static pivoting","None",mumps->id.CNTL(4),&mumps->id.CNTL(4),NULL);CHKERRQ(ierr);
1240   ierr = PetscOptionsReal("-mat_mumps_cntl_5","CNTL(5): fixation for null pivots","None",mumps->id.CNTL(5),&mumps->id.CNTL(5),NULL);CHKERRQ(ierr);
1241   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);
1242 
1243   ierr = PetscOptionsString("-mat_mumps_ooc_tmpdir", "out of core directory", "None", mumps->id.ooc_tmpdir, mumps->id.ooc_tmpdir, 256, NULL);CHKERRQ(ierr);
1244 
1245   ierr = PetscOptionsIntArray("-mat_mumps_view_info","request INFO local to each processor","",info,&ninfo,NULL);CHKERRQ(ierr);
1246   if (ninfo) {
1247     if (ninfo > 40) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_USER,"number of INFO %d must <= 40\n",ninfo);
1248     ierr = PetscMalloc1(ninfo,&mumps->info);CHKERRQ(ierr);
1249     mumps->ninfo = ninfo;
1250     for (i=0; i<ninfo; i++) {
1251       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);
1252       else  mumps->info[i] = info[i];
1253     }
1254   }
1255 
1256   ierr = PetscOptionsEnd();CHKERRQ(ierr);
1257   PetscFunctionReturn(0);
1258 }
1259 
1260 PetscErrorCode PetscInitializeMUMPS(Mat A,Mat_MUMPS *mumps)
1261 {
1262   PetscErrorCode ierr;
1263 
1264   PetscFunctionBegin;
1265   ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)A), &mumps->myid);CHKERRQ(ierr);
1266   ierr = MPI_Comm_size(PetscObjectComm((PetscObject)A),&mumps->size);CHKERRQ(ierr);
1267   ierr = MPI_Comm_dup(PetscObjectComm((PetscObject)A),&(mumps->comm_mumps));CHKERRQ(ierr);
1268 
1269   mumps->id.comm_fortran = MPI_Comm_c2f(mumps->comm_mumps);
1270 
1271   mumps->id.job = JOB_INIT;
1272   mumps->id.par = 1;  /* host participates factorizaton and solve */
1273   mumps->id.sym = mumps->sym;
1274   PetscMUMPS_c(&mumps->id);
1275 
1276   mumps->scat_rhs     = NULL;
1277   mumps->scat_sol     = NULL;
1278 
1279   /* set PETSc-MUMPS default options - override MUMPS default */
1280   mumps->id.ICNTL(3) = 0;
1281   mumps->id.ICNTL(4) = 0;
1282   if (mumps->size == 1) {
1283     mumps->id.ICNTL(18) = 0;   /* centralized assembled matrix input */
1284   } else {
1285     mumps->id.ICNTL(18) = 3;   /* distributed assembled matrix input */
1286     mumps->id.ICNTL(20) = 0;   /* rhs is in dense format */
1287     mumps->id.ICNTL(21) = 1;   /* distributed solution */
1288   }
1289 
1290   /* schur */
1291   mumps->id.size_schur      = 0;
1292   mumps->id.listvar_schur   = NULL;
1293   mumps->id.schur           = NULL;
1294   mumps->sizeredrhs         = 0;
1295   mumps->schur_sol          = NULL;
1296   mumps->schur_sizesol      = 0;
1297   PetscFunctionReturn(0);
1298 }
1299 
1300 PetscErrorCode MatFactorSymbolic_MUMPS_ReportIfError(Mat F,Mat A,const MatFactorInfo *info,Mat_MUMPS *mumps)
1301 {
1302   PetscErrorCode ierr;
1303 
1304   PetscFunctionBegin;
1305   if (mumps->id.INFOG(1) < 0) {
1306     if (A->erroriffailure) {
1307       SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error reported by MUMPS in analysis phase: INFOG(1)=%d\n",mumps->id.INFOG(1));
1308     } else {
1309       if (mumps->id.INFOG(1) == -6) {
1310         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);
1311         F->factorerrortype = MAT_FACTOR_STRUCT_ZEROPIVOT;
1312       } else if (mumps->id.INFOG(1) == -5 || mumps->id.INFOG(1) == -7) {
1313         ierr = PetscInfo2(F,"problem of workspace, INFOG(1)=%d, INFO(2)=%d\n",mumps->id.INFOG(1),mumps->id.INFO(2));CHKERRQ(ierr);
1314         F->factorerrortype = MAT_FACTOR_OUTMEMORY;
1315       } else {
1316         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);
1317         F->factorerrortype = MAT_FACTOR_OTHER;
1318       }
1319     }
1320   }
1321   PetscFunctionReturn(0);
1322 }
1323 
1324 /* Note Petsc r(=c) permutation is used when mumps->id.ICNTL(7)==1 with centralized assembled matrix input; otherwise r and c are ignored */
1325 PetscErrorCode MatLUFactorSymbolic_AIJMUMPS(Mat F,Mat A,IS r,IS c,const MatFactorInfo *info)
1326 {
1327   Mat_MUMPS      *mumps = (Mat_MUMPS*)F->data;
1328   PetscErrorCode ierr;
1329   Vec            b;
1330   IS             is_iden;
1331   const PetscInt M = A->rmap->N;
1332 
1333   PetscFunctionBegin;
1334   mumps->matstruc = DIFFERENT_NONZERO_PATTERN;
1335 
1336   /* Set MUMPS options from the options database */
1337   ierr = PetscSetMUMPSFromOptions(F,A);CHKERRQ(ierr);
1338 
1339   ierr = (*mumps->ConvertToTriples)(A, 1, MAT_INITIAL_MATRIX, &mumps->nz, &mumps->irn, &mumps->jcn, &mumps->val);CHKERRQ(ierr);
1340 
1341   /* analysis phase */
1342   /*----------------*/
1343   mumps->id.job = JOB_FACTSYMBOLIC;
1344   mumps->id.n   = M;
1345   switch (mumps->id.ICNTL(18)) {
1346   case 0:  /* centralized assembled matrix input */
1347     if (!mumps->myid) {
1348       mumps->id.nz =mumps->nz; mumps->id.irn=mumps->irn; mumps->id.jcn=mumps->jcn;
1349       if (mumps->id.ICNTL(6)>1) {
1350         mumps->id.a = (MumpsScalar*)mumps->val;
1351       }
1352       if (mumps->id.ICNTL(7) == 1) { /* use user-provide matrix ordering - assuming r = c ordering */
1353         /*
1354         PetscBool      flag;
1355         ierr = ISEqual(r,c,&flag);CHKERRQ(ierr);
1356         if (!flag) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_USER,"row_perm != col_perm");
1357         ierr = ISView(r,PETSC_VIEWER_STDOUT_SELF);
1358          */
1359         if (!mumps->myid) {
1360           const PetscInt *idx;
1361           PetscInt       i,*perm_in;
1362 
1363           ierr = PetscMalloc1(M,&perm_in);CHKERRQ(ierr);
1364           ierr = ISGetIndices(r,&idx);CHKERRQ(ierr);
1365 
1366           mumps->id.perm_in = perm_in;
1367           for (i=0; i<M; i++) perm_in[i] = idx[i]+1; /* perm_in[]: start from 1, not 0! */
1368           ierr = ISRestoreIndices(r,&idx);CHKERRQ(ierr);
1369         }
1370       }
1371     }
1372     break;
1373   case 3:  /* distributed assembled matrix input (size>1) */
1374     mumps->id.nz_loc = mumps->nz;
1375     mumps->id.irn_loc=mumps->irn; mumps->id.jcn_loc=mumps->jcn;
1376     if (mumps->id.ICNTL(6)>1) {
1377       mumps->id.a_loc = (MumpsScalar*)mumps->val;
1378     }
1379     /* MUMPS only supports centralized rhs. Create scatter scat_rhs for repeated use in MatSolve() */
1380     if (!mumps->myid) {
1381       ierr = VecCreateSeq(PETSC_COMM_SELF,A->rmap->N,&mumps->b_seq);CHKERRQ(ierr);
1382       ierr = ISCreateStride(PETSC_COMM_SELF,A->rmap->N,0,1,&is_iden);CHKERRQ(ierr);
1383     } else {
1384       ierr = VecCreateSeq(PETSC_COMM_SELF,0,&mumps->b_seq);CHKERRQ(ierr);
1385       ierr = ISCreateStride(PETSC_COMM_SELF,0,0,1,&is_iden);CHKERRQ(ierr);
1386     }
1387     ierr = MatCreateVecs(A,NULL,&b);CHKERRQ(ierr);
1388     ierr = VecScatterCreate(b,is_iden,mumps->b_seq,is_iden,&mumps->scat_rhs);CHKERRQ(ierr);
1389     ierr = ISDestroy(&is_iden);CHKERRQ(ierr);
1390     ierr = VecDestroy(&b);CHKERRQ(ierr);
1391     break;
1392   }
1393   PetscMUMPS_c(&mumps->id);
1394   ierr = MatFactorSymbolic_MUMPS_ReportIfError(F,A,info,mumps);CHKERRQ(ierr);
1395 
1396   F->ops->lufactornumeric = MatFactorNumeric_MUMPS;
1397   F->ops->solve           = MatSolve_MUMPS;
1398   F->ops->solvetranspose  = MatSolveTranspose_MUMPS;
1399   F->ops->matsolve        = MatMatSolve_MUMPS;
1400   PetscFunctionReturn(0);
1401 }
1402 
1403 /* Note the Petsc r and c permutations are ignored */
1404 PetscErrorCode MatLUFactorSymbolic_BAIJMUMPS(Mat F,Mat A,IS r,IS c,const MatFactorInfo *info)
1405 {
1406   Mat_MUMPS      *mumps = (Mat_MUMPS*)F->data;
1407   PetscErrorCode ierr;
1408   Vec            b;
1409   IS             is_iden;
1410   const PetscInt M = A->rmap->N;
1411 
1412   PetscFunctionBegin;
1413   mumps->matstruc = DIFFERENT_NONZERO_PATTERN;
1414 
1415   /* Set MUMPS options from the options database */
1416   ierr = PetscSetMUMPSFromOptions(F,A);CHKERRQ(ierr);
1417 
1418   ierr = (*mumps->ConvertToTriples)(A, 1, MAT_INITIAL_MATRIX, &mumps->nz, &mumps->irn, &mumps->jcn, &mumps->val);CHKERRQ(ierr);
1419 
1420   /* analysis phase */
1421   /*----------------*/
1422   mumps->id.job = JOB_FACTSYMBOLIC;
1423   mumps->id.n   = M;
1424   switch (mumps->id.ICNTL(18)) {
1425   case 0:  /* centralized assembled matrix input */
1426     if (!mumps->myid) {
1427       mumps->id.nz =mumps->nz; mumps->id.irn=mumps->irn; mumps->id.jcn=mumps->jcn;
1428       if (mumps->id.ICNTL(6)>1) {
1429         mumps->id.a = (MumpsScalar*)mumps->val;
1430       }
1431     }
1432     break;
1433   case 3:  /* distributed assembled matrix input (size>1) */
1434     mumps->id.nz_loc = mumps->nz;
1435     mumps->id.irn_loc=mumps->irn; mumps->id.jcn_loc=mumps->jcn;
1436     if (mumps->id.ICNTL(6)>1) {
1437       mumps->id.a_loc = (MumpsScalar*)mumps->val;
1438     }
1439     /* MUMPS only supports centralized rhs. Create scatter scat_rhs for repeated use in MatSolve() */
1440     if (!mumps->myid) {
1441       ierr = VecCreateSeq(PETSC_COMM_SELF,A->cmap->N,&mumps->b_seq);CHKERRQ(ierr);
1442       ierr = ISCreateStride(PETSC_COMM_SELF,A->cmap->N,0,1,&is_iden);CHKERRQ(ierr);
1443     } else {
1444       ierr = VecCreateSeq(PETSC_COMM_SELF,0,&mumps->b_seq);CHKERRQ(ierr);
1445       ierr = ISCreateStride(PETSC_COMM_SELF,0,0,1,&is_iden);CHKERRQ(ierr);
1446     }
1447     ierr = MatCreateVecs(A,NULL,&b);CHKERRQ(ierr);
1448     ierr = VecScatterCreate(b,is_iden,mumps->b_seq,is_iden,&mumps->scat_rhs);CHKERRQ(ierr);
1449     ierr = ISDestroy(&is_iden);CHKERRQ(ierr);
1450     ierr = VecDestroy(&b);CHKERRQ(ierr);
1451     break;
1452   }
1453   PetscMUMPS_c(&mumps->id);
1454   ierr = MatFactorSymbolic_MUMPS_ReportIfError(F,A,info,mumps);CHKERRQ(ierr);
1455 
1456   F->ops->lufactornumeric = MatFactorNumeric_MUMPS;
1457   F->ops->solve           = MatSolve_MUMPS;
1458   F->ops->solvetranspose  = MatSolveTranspose_MUMPS;
1459   PetscFunctionReturn(0);
1460 }
1461 
1462 /* Note the Petsc r permutation and factor info are ignored */
1463 PetscErrorCode MatCholeskyFactorSymbolic_MUMPS(Mat F,Mat A,IS r,const MatFactorInfo *info)
1464 {
1465   Mat_MUMPS      *mumps = (Mat_MUMPS*)F->data;
1466   PetscErrorCode ierr;
1467   Vec            b;
1468   IS             is_iden;
1469   const PetscInt M = A->rmap->N;
1470 
1471   PetscFunctionBegin;
1472   mumps->matstruc = DIFFERENT_NONZERO_PATTERN;
1473 
1474   /* Set MUMPS options from the options database */
1475   ierr = PetscSetMUMPSFromOptions(F,A);CHKERRQ(ierr);
1476 
1477   ierr = (*mumps->ConvertToTriples)(A, 1, MAT_INITIAL_MATRIX, &mumps->nz, &mumps->irn, &mumps->jcn, &mumps->val);CHKERRQ(ierr);
1478 
1479   /* analysis phase */
1480   /*----------------*/
1481   mumps->id.job = JOB_FACTSYMBOLIC;
1482   mumps->id.n   = M;
1483   switch (mumps->id.ICNTL(18)) {
1484   case 0:  /* centralized assembled matrix input */
1485     if (!mumps->myid) {
1486       mumps->id.nz =mumps->nz; mumps->id.irn=mumps->irn; mumps->id.jcn=mumps->jcn;
1487       if (mumps->id.ICNTL(6)>1) {
1488         mumps->id.a = (MumpsScalar*)mumps->val;
1489       }
1490     }
1491     break;
1492   case 3:  /* distributed assembled matrix input (size>1) */
1493     mumps->id.nz_loc = mumps->nz;
1494     mumps->id.irn_loc=mumps->irn; mumps->id.jcn_loc=mumps->jcn;
1495     if (mumps->id.ICNTL(6)>1) {
1496       mumps->id.a_loc = (MumpsScalar*)mumps->val;
1497     }
1498     /* MUMPS only supports centralized rhs. Create scatter scat_rhs for repeated use in MatSolve() */
1499     if (!mumps->myid) {
1500       ierr = VecCreateSeq(PETSC_COMM_SELF,A->cmap->N,&mumps->b_seq);CHKERRQ(ierr);
1501       ierr = ISCreateStride(PETSC_COMM_SELF,A->cmap->N,0,1,&is_iden);CHKERRQ(ierr);
1502     } else {
1503       ierr = VecCreateSeq(PETSC_COMM_SELF,0,&mumps->b_seq);CHKERRQ(ierr);
1504       ierr = ISCreateStride(PETSC_COMM_SELF,0,0,1,&is_iden);CHKERRQ(ierr);
1505     }
1506     ierr = MatCreateVecs(A,NULL,&b);CHKERRQ(ierr);
1507     ierr = VecScatterCreate(b,is_iden,mumps->b_seq,is_iden,&mumps->scat_rhs);CHKERRQ(ierr);
1508     ierr = ISDestroy(&is_iden);CHKERRQ(ierr);
1509     ierr = VecDestroy(&b);CHKERRQ(ierr);
1510     break;
1511   }
1512   PetscMUMPS_c(&mumps->id);
1513   ierr = MatFactorSymbolic_MUMPS_ReportIfError(F,A,info,mumps);CHKERRQ(ierr);
1514 
1515   F->ops->choleskyfactornumeric = MatFactorNumeric_MUMPS;
1516   F->ops->solve                 = MatSolve_MUMPS;
1517   F->ops->solvetranspose        = MatSolve_MUMPS;
1518   F->ops->matsolve              = MatMatSolve_MUMPS;
1519 #if defined(PETSC_USE_COMPLEX)
1520   F->ops->getinertia = NULL;
1521 #else
1522   F->ops->getinertia = MatGetInertia_SBAIJMUMPS;
1523 #endif
1524   PetscFunctionReturn(0);
1525 }
1526 
1527 PetscErrorCode MatView_MUMPS(Mat A,PetscViewer viewer)
1528 {
1529   PetscErrorCode    ierr;
1530   PetscBool         iascii;
1531   PetscViewerFormat format;
1532   Mat_MUMPS         *mumps=(Mat_MUMPS*)A->data;
1533 
1534   PetscFunctionBegin;
1535   /* check if matrix is mumps type */
1536   if (A->ops->solve != MatSolve_MUMPS) PetscFunctionReturn(0);
1537 
1538   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&iascii);CHKERRQ(ierr);
1539   if (iascii) {
1540     ierr = PetscViewerGetFormat(viewer,&format);CHKERRQ(ierr);
1541     if (format == PETSC_VIEWER_ASCII_INFO) {
1542       ierr = PetscViewerASCIIPrintf(viewer,"MUMPS run parameters:\n");CHKERRQ(ierr);
1543       ierr = PetscViewerASCIIPrintf(viewer,"  SYM (matrix type):                   %d \n",mumps->id.sym);CHKERRQ(ierr);
1544       ierr = PetscViewerASCIIPrintf(viewer,"  PAR (host participation):            %d \n",mumps->id.par);CHKERRQ(ierr);
1545       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(1) (output for error):         %d \n",mumps->id.ICNTL(1));CHKERRQ(ierr);
1546       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(2) (output of diagnostic msg): %d \n",mumps->id.ICNTL(2));CHKERRQ(ierr);
1547       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(3) (output for global info):   %d \n",mumps->id.ICNTL(3));CHKERRQ(ierr);
1548       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(4) (level of printing):        %d \n",mumps->id.ICNTL(4));CHKERRQ(ierr);
1549       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(5) (input mat struct):         %d \n",mumps->id.ICNTL(5));CHKERRQ(ierr);
1550       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(6) (matrix prescaling):        %d \n",mumps->id.ICNTL(6));CHKERRQ(ierr);
1551       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(7) (sequential matrix ordering):%d \n",mumps->id.ICNTL(7));CHKERRQ(ierr);
1552       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(8) (scaling strategy):        %d \n",mumps->id.ICNTL(8));CHKERRQ(ierr);
1553       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(10) (max num of refinements):  %d \n",mumps->id.ICNTL(10));CHKERRQ(ierr);
1554       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(11) (error analysis):          %d \n",mumps->id.ICNTL(11));CHKERRQ(ierr);
1555       if (mumps->id.ICNTL(11)>0) {
1556         ierr = PetscViewerASCIIPrintf(viewer,"    RINFOG(4) (inf norm of input mat):        %g\n",mumps->id.RINFOG(4));CHKERRQ(ierr);
1557         ierr = PetscViewerASCIIPrintf(viewer,"    RINFOG(5) (inf norm of solution):         %g\n",mumps->id.RINFOG(5));CHKERRQ(ierr);
1558         ierr = PetscViewerASCIIPrintf(viewer,"    RINFOG(6) (inf norm of residual):         %g\n",mumps->id.RINFOG(6));CHKERRQ(ierr);
1559         ierr = PetscViewerASCIIPrintf(viewer,"    RINFOG(7),RINFOG(8) (backward error est): %g, %g\n",mumps->id.RINFOG(7),mumps->id.RINFOG(8));CHKERRQ(ierr);
1560         ierr = PetscViewerASCIIPrintf(viewer,"    RINFOG(9) (error estimate):               %g \n",mumps->id.RINFOG(9));CHKERRQ(ierr);
1561         ierr = PetscViewerASCIIPrintf(viewer,"    RINFOG(10),RINFOG(11)(condition numbers): %g, %g\n",mumps->id.RINFOG(10),mumps->id.RINFOG(11));CHKERRQ(ierr);
1562       }
1563       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(12) (efficiency control):                         %d \n",mumps->id.ICNTL(12));CHKERRQ(ierr);
1564       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(13) (efficiency control):                         %d \n",mumps->id.ICNTL(13));CHKERRQ(ierr);
1565       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(14) (percentage of estimated workspace increase): %d \n",mumps->id.ICNTL(14));CHKERRQ(ierr);
1566       /* ICNTL(15-17) not used */
1567       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(18) (input mat struct):                           %d \n",mumps->id.ICNTL(18));CHKERRQ(ierr);
1568       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(19) (Schur complement info):                       %d \n",mumps->id.ICNTL(19));CHKERRQ(ierr);
1569       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(20) (rhs sparse pattern):                         %d \n",mumps->id.ICNTL(20));CHKERRQ(ierr);
1570       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(21) (solution struct):                            %d \n",mumps->id.ICNTL(21));CHKERRQ(ierr);
1571       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(22) (in-core/out-of-core facility):               %d \n",mumps->id.ICNTL(22));CHKERRQ(ierr);
1572       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(23) (max size of memory can be allocated locally):%d \n",mumps->id.ICNTL(23));CHKERRQ(ierr);
1573 
1574       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(24) (detection of null pivot rows):               %d \n",mumps->id.ICNTL(24));CHKERRQ(ierr);
1575       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(25) (computation of a null space basis):          %d \n",mumps->id.ICNTL(25));CHKERRQ(ierr);
1576       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(26) (Schur options for rhs or solution):          %d \n",mumps->id.ICNTL(26));CHKERRQ(ierr);
1577       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(27) (experimental parameter):                     %d \n",mumps->id.ICNTL(27));CHKERRQ(ierr);
1578       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(28) (use parallel or sequential ordering):        %d \n",mumps->id.ICNTL(28));CHKERRQ(ierr);
1579       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(29) (parallel ordering):                          %d \n",mumps->id.ICNTL(29));CHKERRQ(ierr);
1580 
1581       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(30) (user-specified set of entries in inv(A)):    %d \n",mumps->id.ICNTL(30));CHKERRQ(ierr);
1582       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(31) (factors is discarded in the solve phase):    %d \n",mumps->id.ICNTL(31));CHKERRQ(ierr);
1583       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(33) (compute determinant):                        %d \n",mumps->id.ICNTL(33));CHKERRQ(ierr);
1584       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(35) (activate BLR based factorization):           %d \n",mumps->id.ICNTL(35));CHKERRQ(ierr);
1585 
1586       ierr = PetscViewerASCIIPrintf(viewer,"  CNTL(1) (relative pivoting threshold):      %g \n",mumps->id.CNTL(1));CHKERRQ(ierr);
1587       ierr = PetscViewerASCIIPrintf(viewer,"  CNTL(2) (stopping criterion of refinement): %g \n",mumps->id.CNTL(2));CHKERRQ(ierr);
1588       ierr = PetscViewerASCIIPrintf(viewer,"  CNTL(3) (absolute pivoting threshold):      %g \n",mumps->id.CNTL(3));CHKERRQ(ierr);
1589       ierr = PetscViewerASCIIPrintf(viewer,"  CNTL(4) (value of static pivoting):         %g \n",mumps->id.CNTL(4));CHKERRQ(ierr);
1590       ierr = PetscViewerASCIIPrintf(viewer,"  CNTL(5) (fixation for null pivots):         %g \n",mumps->id.CNTL(5));CHKERRQ(ierr);
1591       ierr = PetscViewerASCIIPrintf(viewer,"  CNTL(7) (dropping parameter for BLR):       %g \n",mumps->id.CNTL(7));CHKERRQ(ierr);
1592 
1593       /* infomation local to each processor */
1594       ierr = PetscViewerASCIIPrintf(viewer, "  RINFO(1) (local estimated flops for the elimination after analysis): \n");CHKERRQ(ierr);
1595       ierr = PetscViewerASCIIPushSynchronized(viewer);CHKERRQ(ierr);
1596       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"    [%d] %g \n",mumps->myid,mumps->id.RINFO(1));CHKERRQ(ierr);
1597       ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
1598       ierr = PetscViewerASCIIPrintf(viewer, "  RINFO(2) (local estimated flops for the assembly after factorization): \n");CHKERRQ(ierr);
1599       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"    [%d]  %g \n",mumps->myid,mumps->id.RINFO(2));CHKERRQ(ierr);
1600       ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
1601       ierr = PetscViewerASCIIPrintf(viewer, "  RINFO(3) (local estimated flops for the elimination after factorization): \n");CHKERRQ(ierr);
1602       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"    [%d]  %g \n",mumps->myid,mumps->id.RINFO(3));CHKERRQ(ierr);
1603       ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
1604 
1605       ierr = PetscViewerASCIIPrintf(viewer, "  INFO(15) (estimated size of (in MB) MUMPS internal data for running numerical factorization): \n");CHKERRQ(ierr);
1606       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"  [%d] %d \n",mumps->myid,mumps->id.INFO(15));CHKERRQ(ierr);
1607       ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
1608 
1609       ierr = PetscViewerASCIIPrintf(viewer, "  INFO(16) (size of (in MB) MUMPS internal data used during numerical factorization): \n");CHKERRQ(ierr);
1610       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"    [%d] %d \n",mumps->myid,mumps->id.INFO(16));CHKERRQ(ierr);
1611       ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
1612 
1613       ierr = PetscViewerASCIIPrintf(viewer, "  INFO(23) (num of pivots eliminated on this processor after factorization): \n");CHKERRQ(ierr);
1614       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"    [%d] %d \n",mumps->myid,mumps->id.INFO(23));CHKERRQ(ierr);
1615       ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
1616 
1617       if (mumps->ninfo && mumps->ninfo <= 40){
1618         PetscInt i;
1619         for (i=0; i<mumps->ninfo; i++){
1620           ierr = PetscViewerASCIIPrintf(viewer, "  INFO(%d): \n",mumps->info[i]);CHKERRQ(ierr);
1621           ierr = PetscViewerASCIISynchronizedPrintf(viewer,"    [%d] %d \n",mumps->myid,mumps->id.INFO(mumps->info[i]));CHKERRQ(ierr);
1622           ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
1623         }
1624       }
1625 
1626 
1627       ierr = PetscViewerASCIIPopSynchronized(viewer);CHKERRQ(ierr);
1628 
1629       if (!mumps->myid) { /* information from the host */
1630         ierr = PetscViewerASCIIPrintf(viewer,"  RINFOG(1) (global estimated flops for the elimination after analysis): %g \n",mumps->id.RINFOG(1));CHKERRQ(ierr);
1631         ierr = PetscViewerASCIIPrintf(viewer,"  RINFOG(2) (global estimated flops for the assembly after factorization): %g \n",mumps->id.RINFOG(2));CHKERRQ(ierr);
1632         ierr = PetscViewerASCIIPrintf(viewer,"  RINFOG(3) (global estimated flops for the elimination after factorization): %g \n",mumps->id.RINFOG(3));CHKERRQ(ierr);
1633         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);
1634 
1635         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(3) (estimated real workspace for factors on all processors after analysis): %d \n",mumps->id.INFOG(3));CHKERRQ(ierr);
1636         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(4) (estimated integer workspace for factors on all processors after analysis): %d \n",mumps->id.INFOG(4));CHKERRQ(ierr);
1637         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(5) (estimated maximum front size in the complete tree): %d \n",mumps->id.INFOG(5));CHKERRQ(ierr);
1638         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(6) (number of nodes in the complete tree): %d \n",mumps->id.INFOG(6));CHKERRQ(ierr);
1639         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(7) (ordering option effectively use after analysis): %d \n",mumps->id.INFOG(7));CHKERRQ(ierr);
1640         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(8) (structural symmetry in percent of the permuted matrix after analysis): %d \n",mumps->id.INFOG(8));CHKERRQ(ierr);
1641         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(9) (total real/complex workspace to store the matrix factors after factorization): %d \n",mumps->id.INFOG(9));CHKERRQ(ierr);
1642         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(10) (total integer space store the matrix factors after factorization): %d \n",mumps->id.INFOG(10));CHKERRQ(ierr);
1643         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(11) (order of largest frontal matrix after factorization): %d \n",mumps->id.INFOG(11));CHKERRQ(ierr);
1644         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(12) (number of off-diagonal pivots): %d \n",mumps->id.INFOG(12));CHKERRQ(ierr);
1645         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(13) (number of delayed pivots after factorization): %d \n",mumps->id.INFOG(13));CHKERRQ(ierr);
1646         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(14) (number of memory compress after factorization): %d \n",mumps->id.INFOG(14));CHKERRQ(ierr);
1647         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(15) (number of steps of iterative refinement after solution): %d \n",mumps->id.INFOG(15));CHKERRQ(ierr);
1648         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);
1649         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);
1650         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);
1651         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);
1652         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(20) (estimated number of entries in the factors): %d \n",mumps->id.INFOG(20));CHKERRQ(ierr);
1653         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);
1654         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);
1655         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(23) (after analysis: value of ICNTL(6) effectively used): %d \n",mumps->id.INFOG(23));CHKERRQ(ierr);
1656         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(24) (after analysis: value of ICNTL(12) effectively used): %d \n",mumps->id.INFOG(24));CHKERRQ(ierr);
1657         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(25) (after factorization: number of pivots modified by static pivoting): %d \n",mumps->id.INFOG(25));CHKERRQ(ierr);
1658         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(28) (after factorization: number of null pivots encountered): %d\n",mumps->id.INFOG(28));CHKERRQ(ierr);
1659         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);
1660         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);
1661         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(32) (after analysis: type of analysis done): %d\n",mumps->id.INFOG(32));CHKERRQ(ierr);
1662         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(33) (value used for ICNTL(8)): %d\n",mumps->id.INFOG(33));CHKERRQ(ierr);
1663         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(34) (exponent of the determinant if determinant is requested): %d\n",mumps->id.INFOG(34));CHKERRQ(ierr);
1664       }
1665     }
1666   }
1667   PetscFunctionReturn(0);
1668 }
1669 
1670 PetscErrorCode MatGetInfo_MUMPS(Mat A,MatInfoType flag,MatInfo *info)
1671 {
1672   Mat_MUMPS *mumps =(Mat_MUMPS*)A->data;
1673 
1674   PetscFunctionBegin;
1675   info->block_size        = 1.0;
1676   info->nz_allocated      = mumps->id.INFOG(20);
1677   info->nz_used           = mumps->id.INFOG(20);
1678   info->nz_unneeded       = 0.0;
1679   info->assemblies        = 0.0;
1680   info->mallocs           = 0.0;
1681   info->memory            = 0.0;
1682   info->fill_ratio_given  = 0;
1683   info->fill_ratio_needed = 0;
1684   info->factor_mallocs    = 0;
1685   PetscFunctionReturn(0);
1686 }
1687 
1688 /* -------------------------------------------------------------------------------------------*/
1689 PetscErrorCode MatFactorSetSchurIS_MUMPS(Mat F, IS is)
1690 {
1691   Mat_MUMPS      *mumps =(Mat_MUMPS*)F->data;
1692   const PetscInt *idxs;
1693   PetscInt       size,i;
1694   PetscErrorCode ierr;
1695 
1696   PetscFunctionBegin;
1697   ierr = ISGetLocalSize(is,&size);CHKERRQ(ierr);
1698   if (mumps->size > 1) {
1699     PetscBool ls,gs;
1700 
1701     ls   = mumps->myid ? (size ? PETSC_FALSE : PETSC_TRUE) : PETSC_TRUE;
1702     ierr = MPI_Allreduce(&ls,&gs,1,MPIU_BOOL,MPI_LAND,mumps->comm_mumps);CHKERRQ(ierr);
1703     if (!gs) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"MUMPS distributed parallel Schur complements not yet supported from PETSc\n");
1704   }
1705   if (mumps->id.size_schur != size) {
1706     ierr = PetscFree2(mumps->id.listvar_schur,mumps->id.schur);CHKERRQ(ierr);
1707     mumps->id.size_schur = size;
1708     mumps->id.schur_lld  = size;
1709     ierr = PetscMalloc2(size,&mumps->id.listvar_schur,size*size,&mumps->id.schur);CHKERRQ(ierr);
1710   }
1711 
1712   /* Schur complement matrix */
1713   ierr = MatCreateSeqDense(PETSC_COMM_SELF,mumps->id.size_schur,mumps->id.size_schur,(PetscScalar*)mumps->id.schur,&F->schur);CHKERRQ(ierr);
1714   if (mumps->sym == 1) {
1715     ierr = MatSetOption(F->schur,MAT_SPD,PETSC_TRUE);CHKERRQ(ierr);
1716   }
1717 
1718   /* MUMPS expects Fortran style indices */
1719   ierr = ISGetIndices(is,&idxs);CHKERRQ(ierr);
1720   ierr = PetscMemcpy(mumps->id.listvar_schur,idxs,size*sizeof(PetscInt));CHKERRQ(ierr);
1721   for (i=0;i<size;i++) mumps->id.listvar_schur[i]++;
1722   ierr = ISRestoreIndices(is,&idxs);CHKERRQ(ierr);
1723   if (mumps->size > 1) {
1724     mumps->id.ICNTL(19) = 1; /* MUMPS returns Schur centralized on the host */
1725   } else {
1726     if (F->factortype == MAT_FACTOR_LU) {
1727       mumps->id.ICNTL(19) = 3; /* MUMPS returns full matrix */
1728     } else {
1729       mumps->id.ICNTL(19) = 2; /* MUMPS returns lower triangular part */
1730     }
1731   }
1732   /* set a special value of ICNTL (not handled my MUMPS) to be used in the solve phase by PETSc */
1733   mumps->id.ICNTL(26) = -1;
1734   PetscFunctionReturn(0);
1735 }
1736 
1737 /* -------------------------------------------------------------------------------------------*/
1738 PetscErrorCode MatFactorCreateSchurComplement_MUMPS(Mat F,Mat* S)
1739 {
1740   Mat            St;
1741   Mat_MUMPS      *mumps =(Mat_MUMPS*)F->data;
1742   PetscScalar    *array;
1743 #if defined(PETSC_USE_COMPLEX)
1744   PetscScalar    im = PetscSqrtScalar((PetscScalar)-1.0);
1745 #endif
1746   PetscErrorCode ierr;
1747 
1748   PetscFunctionBegin;
1749   if (!mumps->id.ICNTL(19)) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur complement mode not selected! You should call MatFactorSetSchurIS to enable it");
1750   ierr = MatCreate(PETSC_COMM_SELF,&St);CHKERRQ(ierr);
1751   ierr = MatSetSizes(St,PETSC_DECIDE,PETSC_DECIDE,mumps->id.size_schur,mumps->id.size_schur);CHKERRQ(ierr);
1752   ierr = MatSetType(St,MATDENSE);CHKERRQ(ierr);
1753   ierr = MatSetUp(St);CHKERRQ(ierr);
1754   ierr = MatDenseGetArray(St,&array);CHKERRQ(ierr);
1755   if (!mumps->sym) { /* MUMPS always return a full matrix */
1756     if (mumps->id.ICNTL(19) == 1) { /* stored by rows */
1757       PetscInt i,j,N=mumps->id.size_schur;
1758       for (i=0;i<N;i++) {
1759         for (j=0;j<N;j++) {
1760 #if !defined(PETSC_USE_COMPLEX)
1761           PetscScalar val = mumps->id.schur[i*N+j];
1762 #else
1763           PetscScalar val = mumps->id.schur[i*N+j].r + im*mumps->id.schur[i*N+j].i;
1764 #endif
1765           array[j*N+i] = val;
1766         }
1767       }
1768     } else { /* stored by columns */
1769       ierr = PetscMemcpy(array,mumps->id.schur,mumps->id.size_schur*mumps->id.size_schur*sizeof(PetscScalar));CHKERRQ(ierr);
1770     }
1771   } else { /* either full or lower-triangular (not packed) */
1772     if (mumps->id.ICNTL(19) == 2) { /* lower triangular stored by columns */
1773       PetscInt i,j,N=mumps->id.size_schur;
1774       for (i=0;i<N;i++) {
1775         for (j=i;j<N;j++) {
1776 #if !defined(PETSC_USE_COMPLEX)
1777           PetscScalar val = mumps->id.schur[i*N+j];
1778 #else
1779           PetscScalar val = mumps->id.schur[i*N+j].r + im*mumps->id.schur[i*N+j].i;
1780 #endif
1781           array[i*N+j] = val;
1782           array[j*N+i] = val;
1783         }
1784       }
1785     } else if (mumps->id.ICNTL(19) == 3) { /* full matrix */
1786       ierr = PetscMemcpy(array,mumps->id.schur,mumps->id.size_schur*mumps->id.size_schur*sizeof(PetscScalar));CHKERRQ(ierr);
1787     } else { /* ICNTL(19) == 1 lower triangular stored by rows */
1788       PetscInt i,j,N=mumps->id.size_schur;
1789       for (i=0;i<N;i++) {
1790         for (j=0;j<i+1;j++) {
1791 #if !defined(PETSC_USE_COMPLEX)
1792           PetscScalar val = mumps->id.schur[i*N+j];
1793 #else
1794           PetscScalar val = mumps->id.schur[i*N+j].r + im*mumps->id.schur[i*N+j].i;
1795 #endif
1796           array[i*N+j] = val;
1797           array[j*N+i] = val;
1798         }
1799       }
1800     }
1801   }
1802   ierr = MatDenseRestoreArray(St,&array);CHKERRQ(ierr);
1803   *S   = St;
1804   PetscFunctionReturn(0);
1805 }
1806 
1807 /* -------------------------------------------------------------------------------------------*/
1808 PetscErrorCode MatMumpsSetIcntl_MUMPS(Mat F,PetscInt icntl,PetscInt ival)
1809 {
1810   Mat_MUMPS *mumps =(Mat_MUMPS*)F->data;
1811 
1812   PetscFunctionBegin;
1813   mumps->id.ICNTL(icntl) = ival;
1814   PetscFunctionReturn(0);
1815 }
1816 
1817 PetscErrorCode MatMumpsGetIcntl_MUMPS(Mat F,PetscInt icntl,PetscInt *ival)
1818 {
1819   Mat_MUMPS *mumps =(Mat_MUMPS*)F->data;
1820 
1821   PetscFunctionBegin;
1822   *ival = mumps->id.ICNTL(icntl);
1823   PetscFunctionReturn(0);
1824 }
1825 
1826 /*@
1827   MatMumpsSetIcntl - Set MUMPS parameter ICNTL()
1828 
1829    Logically Collective on Mat
1830 
1831    Input Parameters:
1832 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
1833 .  icntl - index of MUMPS parameter array ICNTL()
1834 -  ival - value of MUMPS ICNTL(icntl)
1835 
1836   Options Database:
1837 .   -mat_mumps_icntl_<icntl> <ival>
1838 
1839    Level: beginner
1840 
1841    References:
1842 .     MUMPS Users' Guide
1843 
1844 .seealso: MatGetFactor(), MatMumpsSetICntl(), MatMumpsGetIcntl(), MatMumpsSetCntl(), MatMumpsGetCntl(), MatMumpsGetInfo(), MatMumpsGetInfog(), MatMumpsGetRinfo(), MatMumpsGetRinfog()
1845  @*/
1846 PetscErrorCode MatMumpsSetIcntl(Mat F,PetscInt icntl,PetscInt ival)
1847 {
1848   PetscErrorCode ierr;
1849 
1850   PetscFunctionBegin;
1851   PetscValidType(F,1);
1852   if (!F->factortype) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ARG_WRONGSTATE,"Only for factored matrix");
1853   PetscValidLogicalCollectiveInt(F,icntl,2);
1854   PetscValidLogicalCollectiveInt(F,ival,3);
1855   ierr = PetscTryMethod(F,"MatMumpsSetIcntl_C",(Mat,PetscInt,PetscInt),(F,icntl,ival));CHKERRQ(ierr);
1856   PetscFunctionReturn(0);
1857 }
1858 
1859 /*@
1860   MatMumpsGetIcntl - Get MUMPS parameter ICNTL()
1861 
1862    Logically Collective on Mat
1863 
1864    Input Parameters:
1865 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
1866 -  icntl - index of MUMPS parameter array ICNTL()
1867 
1868   Output Parameter:
1869 .  ival - value of MUMPS ICNTL(icntl)
1870 
1871    Level: beginner
1872 
1873    References:
1874 .     MUMPS Users' Guide
1875 
1876 .seealso: MatGetFactor(), MatMumpsSetICntl(), MatMumpsGetIcntl(), MatMumpsSetCntl(), MatMumpsGetCntl(), MatMumpsGetInfo(), MatMumpsGetInfog(), MatMumpsGetRinfo(), MatMumpsGetRinfog()
1877 @*/
1878 PetscErrorCode MatMumpsGetIcntl(Mat F,PetscInt icntl,PetscInt *ival)
1879 {
1880   PetscErrorCode ierr;
1881 
1882   PetscFunctionBegin;
1883   PetscValidType(F,1);
1884   if (!F->factortype) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ARG_WRONGSTATE,"Only for factored matrix");
1885   PetscValidLogicalCollectiveInt(F,icntl,2);
1886   PetscValidIntPointer(ival,3);
1887   ierr = PetscUseMethod(F,"MatMumpsGetIcntl_C",(Mat,PetscInt,PetscInt*),(F,icntl,ival));CHKERRQ(ierr);
1888   PetscFunctionReturn(0);
1889 }
1890 
1891 /* -------------------------------------------------------------------------------------------*/
1892 PetscErrorCode MatMumpsSetCntl_MUMPS(Mat F,PetscInt icntl,PetscReal val)
1893 {
1894   Mat_MUMPS *mumps =(Mat_MUMPS*)F->data;
1895 
1896   PetscFunctionBegin;
1897   mumps->id.CNTL(icntl) = val;
1898   PetscFunctionReturn(0);
1899 }
1900 
1901 PetscErrorCode MatMumpsGetCntl_MUMPS(Mat F,PetscInt icntl,PetscReal *val)
1902 {
1903   Mat_MUMPS *mumps =(Mat_MUMPS*)F->data;
1904 
1905   PetscFunctionBegin;
1906   *val = mumps->id.CNTL(icntl);
1907   PetscFunctionReturn(0);
1908 }
1909 
1910 /*@
1911   MatMumpsSetCntl - Set MUMPS parameter CNTL()
1912 
1913    Logically Collective on Mat
1914 
1915    Input Parameters:
1916 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
1917 .  icntl - index of MUMPS parameter array CNTL()
1918 -  val - value of MUMPS CNTL(icntl)
1919 
1920   Options Database:
1921 .   -mat_mumps_cntl_<icntl> <val>
1922 
1923    Level: beginner
1924 
1925    References:
1926 .     MUMPS Users' Guide
1927 
1928 .seealso: MatGetFactor(), MatMumpsSetICntl(), MatMumpsGetIcntl(), MatMumpsSetCntl(), MatMumpsGetCntl(), MatMumpsGetInfo(), MatMumpsGetInfog(), MatMumpsGetRinfo(), MatMumpsGetRinfog()
1929 @*/
1930 PetscErrorCode MatMumpsSetCntl(Mat F,PetscInt icntl,PetscReal val)
1931 {
1932   PetscErrorCode ierr;
1933 
1934   PetscFunctionBegin;
1935   PetscValidType(F,1);
1936   if (!F->factortype) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ARG_WRONGSTATE,"Only for factored matrix");
1937   PetscValidLogicalCollectiveInt(F,icntl,2);
1938   PetscValidLogicalCollectiveReal(F,val,3);
1939   ierr = PetscTryMethod(F,"MatMumpsSetCntl_C",(Mat,PetscInt,PetscReal),(F,icntl,val));CHKERRQ(ierr);
1940   PetscFunctionReturn(0);
1941 }
1942 
1943 /*@
1944   MatMumpsGetCntl - Get MUMPS parameter CNTL()
1945 
1946    Logically Collective on Mat
1947 
1948    Input Parameters:
1949 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
1950 -  icntl - index of MUMPS parameter array CNTL()
1951 
1952   Output Parameter:
1953 .  val - value of MUMPS CNTL(icntl)
1954 
1955    Level: beginner
1956 
1957    References:
1958 .      MUMPS Users' Guide
1959 
1960 .seealso: MatGetFactor(), MatMumpsSetICntl(), MatMumpsGetIcntl(), MatMumpsSetCntl(), MatMumpsGetCntl(), MatMumpsGetInfo(), MatMumpsGetInfog(), MatMumpsGetRinfo(), MatMumpsGetRinfog()
1961 @*/
1962 PetscErrorCode MatMumpsGetCntl(Mat F,PetscInt icntl,PetscReal *val)
1963 {
1964   PetscErrorCode ierr;
1965 
1966   PetscFunctionBegin;
1967   PetscValidType(F,1);
1968   if (!F->factortype) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ARG_WRONGSTATE,"Only for factored matrix");
1969   PetscValidLogicalCollectiveInt(F,icntl,2);
1970   PetscValidRealPointer(val,3);
1971   ierr = PetscUseMethod(F,"MatMumpsGetCntl_C",(Mat,PetscInt,PetscReal*),(F,icntl,val));CHKERRQ(ierr);
1972   PetscFunctionReturn(0);
1973 }
1974 
1975 PetscErrorCode MatMumpsGetInfo_MUMPS(Mat F,PetscInt icntl,PetscInt *info)
1976 {
1977   Mat_MUMPS *mumps =(Mat_MUMPS*)F->data;
1978 
1979   PetscFunctionBegin;
1980   *info = mumps->id.INFO(icntl);
1981   PetscFunctionReturn(0);
1982 }
1983 
1984 PetscErrorCode MatMumpsGetInfog_MUMPS(Mat F,PetscInt icntl,PetscInt *infog)
1985 {
1986   Mat_MUMPS *mumps =(Mat_MUMPS*)F->data;
1987 
1988   PetscFunctionBegin;
1989   *infog = mumps->id.INFOG(icntl);
1990   PetscFunctionReturn(0);
1991 }
1992 
1993 PetscErrorCode MatMumpsGetRinfo_MUMPS(Mat F,PetscInt icntl,PetscReal *rinfo)
1994 {
1995   Mat_MUMPS *mumps =(Mat_MUMPS*)F->data;
1996 
1997   PetscFunctionBegin;
1998   *rinfo = mumps->id.RINFO(icntl);
1999   PetscFunctionReturn(0);
2000 }
2001 
2002 PetscErrorCode MatMumpsGetRinfog_MUMPS(Mat F,PetscInt icntl,PetscReal *rinfog)
2003 {
2004   Mat_MUMPS *mumps =(Mat_MUMPS*)F->data;
2005 
2006   PetscFunctionBegin;
2007   *rinfog = mumps->id.RINFOG(icntl);
2008   PetscFunctionReturn(0);
2009 }
2010 
2011 PetscErrorCode MatMumpsGetInverse_MUMPS(Mat F,Mat spRHS)
2012 {
2013   PetscErrorCode ierr;
2014   Mat            Bt = NULL;
2015   PetscBool      flgT;
2016   Mat_MUMPS      *mumps =(Mat_MUMPS*)F->data;
2017   PetscBool      done;
2018   PetscScalar    *aa;
2019   PetscInt       spnr,*ia,*ja;
2020 
2021   PetscFunctionBegin;
2022   if (!mumps->myid) {
2023     PetscValidIntPointer(spRHS,2);
2024     ierr = PetscObjectTypeCompare((PetscObject)spRHS,MATTRANSPOSEMAT,&flgT);CHKERRQ(ierr);
2025     if (flgT) {
2026       ierr = MatTransposeGetMat(spRHS,&Bt);CHKERRQ(ierr);
2027     } else {
2028       SETERRQ(PetscObjectComm((PetscObject)spRHS),PETSC_ERR_ARG_WRONG,"Matrix spRHS must be type MATTRANSPOSEMAT matrix");
2029     }
2030   }
2031 
2032   ierr = MatMumpsSetIcntl(F,30,1);CHKERRQ(ierr);
2033 
2034   if (!mumps->myid) {
2035     ierr = MatSeqAIJGetArray(Bt,&aa);CHKERRQ(ierr);
2036     ierr = MatGetRowIJ(Bt,1,PETSC_FALSE,PETSC_FALSE,&spnr,(const PetscInt**)&ia,(const PetscInt**)&ja,&done);CHKERRQ(ierr);
2037     if (!done) SETERRQ(PetscObjectComm((PetscObject)Bt),PETSC_ERR_ARG_WRONG,"Cannot get IJ structure");
2038 
2039     mumps->id.irhs_ptr    = ia;
2040     mumps->id.irhs_sparse = ja;
2041     mumps->id.nz_rhs      = ia[spnr] - 1;
2042     mumps->id.rhs_sparse  = (MumpsScalar*)aa;
2043   } else {
2044     mumps->id.irhs_ptr    = NULL;
2045     mumps->id.irhs_sparse = NULL;
2046     mumps->id.nz_rhs      = 0;
2047     mumps->id.rhs_sparse  = NULL;
2048   }
2049   mumps->id.ICNTL(20)   = 1; /* rhs is sparse */
2050   mumps->id.ICNTL(21)   = 0; /* solution is in assembled centralized format */
2051 
2052   /* solve phase */
2053   /*-------------*/
2054   mumps->id.job = JOB_SOLVE;
2055   PetscMUMPS_c(&mumps->id);
2056   if (mumps->id.INFOG(1) < 0)
2057     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));
2058 
2059   if (!mumps->myid) {
2060     ierr = MatSeqAIJRestoreArray(Bt,&aa);CHKERRQ(ierr);
2061     ierr = MatRestoreRowIJ(Bt,1,PETSC_FALSE,PETSC_FALSE,&spnr,(const PetscInt**)&ia,(const PetscInt**)&ja,&done);CHKERRQ(ierr);
2062   }
2063   PetscFunctionReturn(0);
2064 }
2065 
2066 /*@
2067   MatMumpsGetInverse - Get user-specified set of entries in inverse of A
2068 
2069    Logically Collective on Mat
2070 
2071    Input Parameters:
2072 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
2073 -  spRHS - sequential sparse matrix in MATTRANSPOSEMAT format holding specified indices in processor[0]
2074 
2075   Output Parameter:
2076 . spRHS - requested entries of inverse of A
2077 
2078    Level: beginner
2079 
2080    References:
2081 .      MUMPS Users' Guide
2082 
2083 .seealso: MatGetFactor(), MatCreateTranspose()
2084 @*/
2085 PetscErrorCode MatMumpsGetInverse(Mat F,Mat spRHS)
2086 {
2087   PetscErrorCode ierr;
2088 
2089   PetscFunctionBegin;
2090   PetscValidType(F,1);
2091   if (!F->factortype) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ARG_WRONGSTATE,"Only for factored matrix");
2092   ierr = PetscUseMethod(F,"MatMumpsGetInverse_C",(Mat,Mat),(F,spRHS));CHKERRQ(ierr);
2093   PetscFunctionReturn(0);
2094 }
2095 
2096 /*@
2097   MatMumpsGetInfo - Get MUMPS parameter INFO()
2098 
2099    Logically Collective on Mat
2100 
2101    Input Parameters:
2102 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
2103 -  icntl - index of MUMPS parameter array INFO()
2104 
2105   Output Parameter:
2106 .  ival - value of MUMPS INFO(icntl)
2107 
2108    Level: beginner
2109 
2110    References:
2111 .      MUMPS Users' Guide
2112 
2113 .seealso: MatGetFactor(), MatMumpsSetICntl(), MatMumpsGetIcntl(), MatMumpsSetCntl(), MatMumpsGetCntl(), MatMumpsGetInfo(), MatMumpsGetInfog(), MatMumpsGetRinfo(), MatMumpsGetRinfog()
2114 @*/
2115 PetscErrorCode MatMumpsGetInfo(Mat F,PetscInt icntl,PetscInt *ival)
2116 {
2117   PetscErrorCode ierr;
2118 
2119   PetscFunctionBegin;
2120   PetscValidType(F,1);
2121   if (!F->factortype) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ARG_WRONGSTATE,"Only for factored matrix");
2122   PetscValidIntPointer(ival,3);
2123   ierr = PetscUseMethod(F,"MatMumpsGetInfo_C",(Mat,PetscInt,PetscInt*),(F,icntl,ival));CHKERRQ(ierr);
2124   PetscFunctionReturn(0);
2125 }
2126 
2127 /*@
2128   MatMumpsGetInfog - Get MUMPS parameter INFOG()
2129 
2130    Logically Collective on Mat
2131 
2132    Input Parameters:
2133 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
2134 -  icntl - index of MUMPS parameter array INFOG()
2135 
2136   Output Parameter:
2137 .  ival - value of MUMPS INFOG(icntl)
2138 
2139    Level: beginner
2140 
2141    References:
2142 .      MUMPS Users' Guide
2143 
2144 .seealso: MatGetFactor(), MatMumpsSetICntl(), MatMumpsGetIcntl(), MatMumpsSetCntl(), MatMumpsGetCntl(), MatMumpsGetInfo(), MatMumpsGetInfog(), MatMumpsGetRinfo(), MatMumpsGetRinfog()
2145 @*/
2146 PetscErrorCode MatMumpsGetInfog(Mat F,PetscInt icntl,PetscInt *ival)
2147 {
2148   PetscErrorCode ierr;
2149 
2150   PetscFunctionBegin;
2151   PetscValidType(F,1);
2152   if (!F->factortype) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ARG_WRONGSTATE,"Only for factored matrix");
2153   PetscValidIntPointer(ival,3);
2154   ierr = PetscUseMethod(F,"MatMumpsGetInfog_C",(Mat,PetscInt,PetscInt*),(F,icntl,ival));CHKERRQ(ierr);
2155   PetscFunctionReturn(0);
2156 }
2157 
2158 /*@
2159   MatMumpsGetRinfo - Get MUMPS parameter RINFO()
2160 
2161    Logically Collective on Mat
2162 
2163    Input Parameters:
2164 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
2165 -  icntl - index of MUMPS parameter array RINFO()
2166 
2167   Output Parameter:
2168 .  val - value of MUMPS RINFO(icntl)
2169 
2170    Level: beginner
2171 
2172    References:
2173 .       MUMPS Users' Guide
2174 
2175 .seealso: MatGetFactor(), MatMumpsSetICntl(), MatMumpsGetIcntl(), MatMumpsSetCntl(), MatMumpsGetCntl(), MatMumpsGetInfo(), MatMumpsGetInfog(), MatMumpsGetRinfo(), MatMumpsGetRinfog()
2176 @*/
2177 PetscErrorCode MatMumpsGetRinfo(Mat F,PetscInt icntl,PetscReal *val)
2178 {
2179   PetscErrorCode ierr;
2180 
2181   PetscFunctionBegin;
2182   PetscValidType(F,1);
2183   if (!F->factortype) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ARG_WRONGSTATE,"Only for factored matrix");
2184   PetscValidRealPointer(val,3);
2185   ierr = PetscUseMethod(F,"MatMumpsGetRinfo_C",(Mat,PetscInt,PetscReal*),(F,icntl,val));CHKERRQ(ierr);
2186   PetscFunctionReturn(0);
2187 }
2188 
2189 /*@
2190   MatMumpsGetRinfog - Get MUMPS parameter RINFOG()
2191 
2192    Logically Collective on Mat
2193 
2194    Input Parameters:
2195 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
2196 -  icntl - index of MUMPS parameter array RINFOG()
2197 
2198   Output Parameter:
2199 .  val - value of MUMPS RINFOG(icntl)
2200 
2201    Level: beginner
2202 
2203    References:
2204 .      MUMPS Users' Guide
2205 
2206 .seealso: MatGetFactor(), MatMumpsSetICntl(), MatMumpsGetIcntl(), MatMumpsSetCntl(), MatMumpsGetCntl(), MatMumpsGetInfo(), MatMumpsGetInfog(), MatMumpsGetRinfo(), MatMumpsGetRinfog()
2207 @*/
2208 PetscErrorCode MatMumpsGetRinfog(Mat F,PetscInt icntl,PetscReal *val)
2209 {
2210   PetscErrorCode ierr;
2211 
2212   PetscFunctionBegin;
2213   PetscValidType(F,1);
2214   if (!F->factortype) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ARG_WRONGSTATE,"Only for factored matrix");
2215   PetscValidRealPointer(val,3);
2216   ierr = PetscUseMethod(F,"MatMumpsGetRinfog_C",(Mat,PetscInt,PetscReal*),(F,icntl,val));CHKERRQ(ierr);
2217   PetscFunctionReturn(0);
2218 }
2219 
2220 /*MC
2221   MATSOLVERMUMPS -  A matrix type providing direct solvers (LU and Cholesky) for
2222   distributed and sequential matrices via the external package MUMPS.
2223 
2224   Works with MATAIJ and MATSBAIJ matrices
2225 
2226   Use ./configure --download-mumps --download-scalapack --download-parmetis --download-metis --download-ptscotch  to have PETSc installed with MUMPS
2227 
2228   Use -pc_type cholesky or lu -pc_factor_mat_solver_type mumps to use this direct solver
2229 
2230   Options Database Keys:
2231 +  -mat_mumps_icntl_1 - ICNTL(1): output stream for error messages
2232 .  -mat_mumps_icntl_2 - ICNTL(2): output stream for diagnostic printing, statistics, and warning
2233 .  -mat_mumps_icntl_3 -  ICNTL(3): output stream for global information, collected on the host
2234 .  -mat_mumps_icntl_4 -  ICNTL(4): level of printing (0 to 4)
2235 .  -mat_mumps_icntl_6 - ICNTL(6): permutes to a zero-free diagonal and/or scale the matrix (0 to 7)
2236 .  -mat_mumps_icntl_7 - ICNTL(7): computes a symmetric permutation in sequential analysis (0 to 7). 3=Scotch, 4=PORD, 5=Metis
2237 .  -mat_mumps_icntl_8  - ICNTL(8): scaling strategy (-2 to 8 or 77)
2238 .  -mat_mumps_icntl_10  - ICNTL(10): max num of refinements
2239 .  -mat_mumps_icntl_11  - ICNTL(11): statistics related to an error analysis (via -ksp_view)
2240 .  -mat_mumps_icntl_12  - ICNTL(12): an ordering strategy for symmetric matrices (0 to 3)
2241 .  -mat_mumps_icntl_13  - ICNTL(13): parallelism of the root node (enable ScaLAPACK) and its splitting
2242 .  -mat_mumps_icntl_14  - ICNTL(14): percentage increase in the estimated working space
2243 .  -mat_mumps_icntl_19  - ICNTL(19): computes the Schur complement
2244 .  -mat_mumps_icntl_22  - ICNTL(22): in-core/out-of-core factorization and solve (0 or 1)
2245 .  -mat_mumps_icntl_23  - ICNTL(23): max size of the working memory (MB) that can allocate per processor
2246 .  -mat_mumps_icntl_24  - ICNTL(24): detection of null pivot rows (0 or 1)
2247 .  -mat_mumps_icntl_25  - ICNTL(25): compute a solution of a deficient matrix and a null space basis
2248 .  -mat_mumps_icntl_26  - ICNTL(26): drives the solution phase if a Schur complement matrix
2249 .  -mat_mumps_icntl_28  - ICNTL(28): use 1 for sequential analysis and ictnl(7) ordering, or 2 for parallel analysis and ictnl(29) ordering
2250 .  -mat_mumps_icntl_29 - ICNTL(29): parallel ordering 1 = ptscotch, 2 = parmetis
2251 .  -mat_mumps_icntl_30 - ICNTL(30): compute user-specified set of entries in inv(A)
2252 .  -mat_mumps_icntl_31 - ICNTL(31): indicates which factors may be discarded during factorization
2253 .  -mat_mumps_icntl_33 - ICNTL(33): compute determinant
2254 .  -mat_mumps_cntl_1  - CNTL(1): relative pivoting threshold
2255 .  -mat_mumps_cntl_2  -  CNTL(2): stopping criterion of refinement
2256 .  -mat_mumps_cntl_3 - CNTL(3): absolute pivoting threshold
2257 .  -mat_mumps_cntl_4 - CNTL(4): value for static pivoting
2258 -  -mat_mumps_cntl_5 - CNTL(5): fixation for null pivots
2259 
2260   Level: beginner
2261 
2262     Notes:
2263     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
2264 $          KSPGetPC(ksp,&pc);
2265 $          PCFactorGetMatrix(pc,&mat);
2266 $          MatMumpsGetInfo(mat,....);
2267 $          MatMumpsGetInfog(mat,....); etc.
2268            Or you can run with -ksp_error_if_not_converged and the program will be stopped and the information printed in the error message.
2269 
2270 .seealso: PCFactorSetMatSolverType(), MatSolverType, MatMumpsSetICntl(), MatMumpsGetIcntl(), MatMumpsSetCntl(), MatMumpsGetCntl(), MatMumpsGetInfo(), MatMumpsGetInfog(), MatMumpsGetRinfo(), MatMumpsGetRinfog(), KSPGetPC(), PCGetFactor(), PCFactorGetMatrix()
2271 
2272 M*/
2273 
2274 static PetscErrorCode MatFactorGetSolverType_mumps(Mat A,MatSolverType *type)
2275 {
2276   PetscFunctionBegin;
2277   *type = MATSOLVERMUMPS;
2278   PetscFunctionReturn(0);
2279 }
2280 
2281 /* MatGetFactor for Seq and MPI AIJ matrices */
2282 static PetscErrorCode MatGetFactor_aij_mumps(Mat A,MatFactorType ftype,Mat *F)
2283 {
2284   Mat            B;
2285   PetscErrorCode ierr;
2286   Mat_MUMPS      *mumps;
2287   PetscBool      isSeqAIJ;
2288 
2289   PetscFunctionBegin;
2290   /* Create the factorization matrix */
2291   ierr = PetscObjectTypeCompare((PetscObject)A,MATSEQAIJ,&isSeqAIJ);CHKERRQ(ierr);
2292   ierr = MatCreate(PetscObjectComm((PetscObject)A),&B);CHKERRQ(ierr);
2293   ierr = MatSetSizes(B,A->rmap->n,A->cmap->n,A->rmap->N,A->cmap->N);CHKERRQ(ierr);
2294   ierr = PetscStrallocpy("mumps",&((PetscObject)B)->type_name);CHKERRQ(ierr);
2295   ierr = MatSetUp(B);CHKERRQ(ierr);
2296 
2297   ierr = PetscNewLog(B,&mumps);CHKERRQ(ierr);
2298 
2299   B->ops->view        = MatView_MUMPS;
2300   B->ops->getinfo     = MatGetInfo_MUMPS;
2301 
2302   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorGetSolverType_C",MatFactorGetSolverType_mumps);CHKERRQ(ierr);
2303   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSetSchurIS_C",MatFactorSetSchurIS_MUMPS);CHKERRQ(ierr);
2304   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorCreateSchurComplement_C",MatFactorCreateSchurComplement_MUMPS);CHKERRQ(ierr);
2305   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsSetIcntl_C",MatMumpsSetIcntl_MUMPS);CHKERRQ(ierr);
2306   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetIcntl_C",MatMumpsGetIcntl_MUMPS);CHKERRQ(ierr);
2307   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsSetCntl_C",MatMumpsSetCntl_MUMPS);CHKERRQ(ierr);
2308   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetCntl_C",MatMumpsGetCntl_MUMPS);CHKERRQ(ierr);
2309   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetInfo_C",MatMumpsGetInfo_MUMPS);CHKERRQ(ierr);
2310   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetInfog_C",MatMumpsGetInfog_MUMPS);CHKERRQ(ierr);
2311   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetRinfo_C",MatMumpsGetRinfo_MUMPS);CHKERRQ(ierr);
2312   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetRinfog_C",MatMumpsGetRinfog_MUMPS);CHKERRQ(ierr);
2313   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetInverse_C",MatMumpsGetInverse_MUMPS);CHKERRQ(ierr);
2314 
2315   if (ftype == MAT_FACTOR_LU) {
2316     B->ops->lufactorsymbolic = MatLUFactorSymbolic_AIJMUMPS;
2317     B->factortype            = MAT_FACTOR_LU;
2318     if (isSeqAIJ) mumps->ConvertToTriples = MatConvertToTriples_seqaij_seqaij;
2319     else mumps->ConvertToTriples = MatConvertToTriples_mpiaij_mpiaij;
2320     mumps->sym = 0;
2321   } else {
2322     B->ops->choleskyfactorsymbolic = MatCholeskyFactorSymbolic_MUMPS;
2323     B->factortype                  = MAT_FACTOR_CHOLESKY;
2324     if (isSeqAIJ) mumps->ConvertToTriples = MatConvertToTriples_seqaij_seqsbaij;
2325     else mumps->ConvertToTriples = MatConvertToTriples_mpiaij_mpisbaij;
2326 #if defined(PETSC_USE_COMPLEX)
2327     mumps->sym = 2;
2328 #else
2329     if (A->spd_set && A->spd) mumps->sym = 1;
2330     else                      mumps->sym = 2;
2331 #endif
2332   }
2333 
2334   /* set solvertype */
2335   ierr = PetscFree(B->solvertype);CHKERRQ(ierr);
2336   ierr = PetscStrallocpy(MATSOLVERMUMPS,&B->solvertype);CHKERRQ(ierr);
2337 
2338   B->ops->destroy = MatDestroy_MUMPS;
2339   B->data         = (void*)mumps;
2340 
2341   ierr = PetscInitializeMUMPS(A,mumps);CHKERRQ(ierr);
2342 
2343   *F = B;
2344   PetscFunctionReturn(0);
2345 }
2346 
2347 /* MatGetFactor for Seq and MPI SBAIJ matrices */
2348 static PetscErrorCode MatGetFactor_sbaij_mumps(Mat A,MatFactorType ftype,Mat *F)
2349 {
2350   Mat            B;
2351   PetscErrorCode ierr;
2352   Mat_MUMPS      *mumps;
2353   PetscBool      isSeqSBAIJ;
2354 
2355   PetscFunctionBegin;
2356   if (ftype != MAT_FACTOR_CHOLESKY) SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_SUP,"Cannot use PETSc SBAIJ matrices with MUMPS LU, use AIJ matrix");
2357   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");
2358   ierr = PetscObjectTypeCompare((PetscObject)A,MATSEQSBAIJ,&isSeqSBAIJ);CHKERRQ(ierr);
2359   /* Create the factorization matrix */
2360   ierr = MatCreate(PetscObjectComm((PetscObject)A),&B);CHKERRQ(ierr);
2361   ierr = MatSetSizes(B,A->rmap->n,A->cmap->n,A->rmap->N,A->cmap->N);CHKERRQ(ierr);
2362   ierr = PetscStrallocpy("mumps",&((PetscObject)B)->type_name);CHKERRQ(ierr);
2363   ierr = MatSetUp(B);CHKERRQ(ierr);
2364 
2365   ierr = PetscNewLog(B,&mumps);CHKERRQ(ierr);
2366   if (isSeqSBAIJ) {
2367     mumps->ConvertToTriples = MatConvertToTriples_seqsbaij_seqsbaij;
2368   } else {
2369     mumps->ConvertToTriples = MatConvertToTriples_mpisbaij_mpisbaij;
2370   }
2371 
2372   B->ops->getinfo                = MatGetInfo_External;
2373   B->ops->choleskyfactorsymbolic = MatCholeskyFactorSymbolic_MUMPS;
2374   B->ops->view                   = MatView_MUMPS;
2375 
2376   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorGetSolverType_C",MatFactorGetSolverType_mumps);CHKERRQ(ierr);
2377   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSetSchurIS_C",MatFactorSetSchurIS_MUMPS);CHKERRQ(ierr);
2378   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorCreateSchurComplement_C",MatFactorCreateSchurComplement_MUMPS);CHKERRQ(ierr);
2379   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsSetIcntl_C",MatMumpsSetIcntl_MUMPS);CHKERRQ(ierr);
2380   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetIcntl_C",MatMumpsGetIcntl_MUMPS);CHKERRQ(ierr);
2381   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsSetCntl_C",MatMumpsSetCntl_MUMPS);CHKERRQ(ierr);
2382   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetCntl_C",MatMumpsGetCntl_MUMPS);CHKERRQ(ierr);
2383   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetInfo_C",MatMumpsGetInfo_MUMPS);CHKERRQ(ierr);
2384   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetInfog_C",MatMumpsGetInfog_MUMPS);CHKERRQ(ierr);
2385   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetRinfo_C",MatMumpsGetRinfo_MUMPS);CHKERRQ(ierr);
2386   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetRinfog_C",MatMumpsGetRinfog_MUMPS);CHKERRQ(ierr);
2387   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetInverse_C",MatMumpsGetInverse_MUMPS);CHKERRQ(ierr);
2388 
2389   B->factortype = MAT_FACTOR_CHOLESKY;
2390 #if defined(PETSC_USE_COMPLEX)
2391   mumps->sym = 2;
2392 #else
2393   if (A->spd_set && A->spd) mumps->sym = 1;
2394   else                      mumps->sym = 2;
2395 #endif
2396 
2397   /* set solvertype */
2398   ierr = PetscFree(B->solvertype);CHKERRQ(ierr);
2399   ierr = PetscStrallocpy(MATSOLVERMUMPS,&B->solvertype);CHKERRQ(ierr);
2400 
2401   B->ops->destroy = MatDestroy_MUMPS;
2402   B->data         = (void*)mumps;
2403 
2404   ierr = PetscInitializeMUMPS(A,mumps);CHKERRQ(ierr);
2405 
2406   *F = B;
2407   PetscFunctionReturn(0);
2408 }
2409 
2410 static PetscErrorCode MatGetFactor_baij_mumps(Mat A,MatFactorType ftype,Mat *F)
2411 {
2412   Mat            B;
2413   PetscErrorCode ierr;
2414   Mat_MUMPS      *mumps;
2415   PetscBool      isSeqBAIJ;
2416 
2417   PetscFunctionBegin;
2418   /* Create the factorization matrix */
2419   ierr = PetscObjectTypeCompare((PetscObject)A,MATSEQBAIJ,&isSeqBAIJ);CHKERRQ(ierr);
2420   ierr = MatCreate(PetscObjectComm((PetscObject)A),&B);CHKERRQ(ierr);
2421   ierr = MatSetSizes(B,A->rmap->n,A->cmap->n,A->rmap->N,A->cmap->N);CHKERRQ(ierr);
2422   ierr = PetscStrallocpy("mumps",&((PetscObject)B)->type_name);CHKERRQ(ierr);
2423   ierr = MatSetUp(B);CHKERRQ(ierr);
2424 
2425   ierr = PetscNewLog(B,&mumps);CHKERRQ(ierr);
2426   if (ftype == MAT_FACTOR_LU) {
2427     B->ops->lufactorsymbolic = MatLUFactorSymbolic_BAIJMUMPS;
2428     B->factortype            = MAT_FACTOR_LU;
2429     if (isSeqBAIJ) mumps->ConvertToTriples = MatConvertToTriples_seqbaij_seqaij;
2430     else mumps->ConvertToTriples = MatConvertToTriples_mpibaij_mpiaij;
2431     mumps->sym = 0;
2432   } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Cannot use PETSc BAIJ matrices with MUMPS Cholesky, use SBAIJ or AIJ matrix instead\n");
2433 
2434   B->ops->getinfo     = MatGetInfo_External;
2435   B->ops->view        = MatView_MUMPS;
2436 
2437   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorGetSolverType_C",MatFactorGetSolverType_mumps);CHKERRQ(ierr);
2438   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSetSchurIS_C",MatFactorSetSchurIS_MUMPS);CHKERRQ(ierr);
2439   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorCreateSchurComplement_C",MatFactorCreateSchurComplement_MUMPS);CHKERRQ(ierr);
2440   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsSetIcntl_C",MatMumpsSetIcntl_MUMPS);CHKERRQ(ierr);
2441   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetIcntl_C",MatMumpsGetIcntl_MUMPS);CHKERRQ(ierr);
2442   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsSetCntl_C",MatMumpsSetCntl_MUMPS);CHKERRQ(ierr);
2443   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetCntl_C",MatMumpsGetCntl_MUMPS);CHKERRQ(ierr);
2444   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetInfo_C",MatMumpsGetInfo_MUMPS);CHKERRQ(ierr);
2445   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetInfog_C",MatMumpsGetInfog_MUMPS);CHKERRQ(ierr);
2446   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetRinfo_C",MatMumpsGetRinfo_MUMPS);CHKERRQ(ierr);
2447   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetRinfog_C",MatMumpsGetRinfog_MUMPS);CHKERRQ(ierr);
2448   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetInverse_C",MatMumpsGetInverse_MUMPS);CHKERRQ(ierr);
2449 
2450   /* set solvertype */
2451   ierr = PetscFree(B->solvertype);CHKERRQ(ierr);
2452   ierr = PetscStrallocpy(MATSOLVERMUMPS,&B->solvertype);CHKERRQ(ierr);
2453 
2454   B->ops->destroy = MatDestroy_MUMPS;
2455   B->data         = (void*)mumps;
2456 
2457   ierr = PetscInitializeMUMPS(A,mumps);CHKERRQ(ierr);
2458 
2459   *F = B;
2460   PetscFunctionReturn(0);
2461 }
2462 
2463 /* MatGetFactor for Seq and MPI SELL matrices */
2464 static PetscErrorCode MatGetFactor_sell_mumps(Mat A,MatFactorType ftype,Mat *F)
2465 {
2466   Mat            B;
2467   PetscErrorCode ierr;
2468   Mat_MUMPS      *mumps;
2469   PetscBool      isSeqSELL;
2470 
2471   PetscFunctionBegin;
2472   /* Create the factorization matrix */
2473   ierr = PetscObjectTypeCompare((PetscObject)A,MATSEQSELL,&isSeqSELL);CHKERRQ(ierr);
2474   ierr = MatCreate(PetscObjectComm((PetscObject)A),&B);CHKERRQ(ierr);
2475   ierr = MatSetSizes(B,A->rmap->n,A->cmap->n,A->rmap->N,A->cmap->N);CHKERRQ(ierr);
2476   ierr = PetscStrallocpy("mumps",&((PetscObject)B)->type_name);CHKERRQ(ierr);
2477   ierr = MatSetUp(B);CHKERRQ(ierr);
2478 
2479   ierr = PetscNewLog(B,&mumps);CHKERRQ(ierr);
2480 
2481   B->ops->view        = MatView_MUMPS;
2482   B->ops->getinfo     = MatGetInfo_MUMPS;
2483 
2484   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorGetSolverType_C",MatFactorGetSolverType_mumps);CHKERRQ(ierr);
2485   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSetSchurIS_C",MatFactorSetSchurIS_MUMPS);CHKERRQ(ierr);
2486   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorCreateSchurComplement_C",MatFactorCreateSchurComplement_MUMPS);CHKERRQ(ierr);
2487   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsSetIcntl_C",MatMumpsSetIcntl_MUMPS);CHKERRQ(ierr);
2488   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetIcntl_C",MatMumpsGetIcntl_MUMPS);CHKERRQ(ierr);
2489   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsSetCntl_C",MatMumpsSetCntl_MUMPS);CHKERRQ(ierr);
2490   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetCntl_C",MatMumpsGetCntl_MUMPS);CHKERRQ(ierr);
2491   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetInfo_C",MatMumpsGetInfo_MUMPS);CHKERRQ(ierr);
2492   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetInfog_C",MatMumpsGetInfog_MUMPS);CHKERRQ(ierr);
2493   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetRinfo_C",MatMumpsGetRinfo_MUMPS);CHKERRQ(ierr);
2494   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetRinfog_C",MatMumpsGetRinfog_MUMPS);CHKERRQ(ierr);
2495 
2496   if (ftype == MAT_FACTOR_LU) {
2497     B->ops->lufactorsymbolic = MatLUFactorSymbolic_AIJMUMPS;
2498     B->factortype            = MAT_FACTOR_LU;
2499     if (isSeqSELL) mumps->ConvertToTriples = MatConvertToTriples_seqsell_seqaij;
2500     else SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_SUP,"To be implemented");
2501     mumps->sym = 0;
2502   } else SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_SUP,"To be implemented");
2503 
2504   /* set solvertype */
2505   ierr = PetscFree(B->solvertype);CHKERRQ(ierr);
2506   ierr = PetscStrallocpy(MATSOLVERMUMPS,&B->solvertype);CHKERRQ(ierr);
2507 
2508   B->ops->destroy = MatDestroy_MUMPS;
2509   B->data         = (void*)mumps;
2510 
2511   ierr = PetscInitializeMUMPS(A,mumps);CHKERRQ(ierr);
2512 
2513   *F = B;
2514   PetscFunctionReturn(0);
2515 }
2516 
2517 PETSC_EXTERN PetscErrorCode MatSolverTypeRegister_MUMPS(void)
2518 {
2519   PetscErrorCode ierr;
2520 
2521   PetscFunctionBegin;
2522   ierr = MatSolverTypeRegister(MATSOLVERMUMPS,MATMPIAIJ,MAT_FACTOR_LU,MatGetFactor_aij_mumps);CHKERRQ(ierr);
2523   ierr = MatSolverTypeRegister(MATSOLVERMUMPS,MATMPIAIJ,MAT_FACTOR_CHOLESKY,MatGetFactor_aij_mumps);CHKERRQ(ierr);
2524   ierr = MatSolverTypeRegister(MATSOLVERMUMPS,MATMPIBAIJ,MAT_FACTOR_LU,MatGetFactor_baij_mumps);CHKERRQ(ierr);
2525   ierr = MatSolverTypeRegister(MATSOLVERMUMPS,MATMPIBAIJ,MAT_FACTOR_CHOLESKY,MatGetFactor_baij_mumps);CHKERRQ(ierr);
2526   ierr = MatSolverTypeRegister(MATSOLVERMUMPS,MATMPISBAIJ,MAT_FACTOR_CHOLESKY,MatGetFactor_sbaij_mumps);CHKERRQ(ierr);
2527   ierr = MatSolverTypeRegister(MATSOLVERMUMPS,MATSEQAIJ,MAT_FACTOR_LU,MatGetFactor_aij_mumps);CHKERRQ(ierr);
2528   ierr = MatSolverTypeRegister(MATSOLVERMUMPS,MATSEQAIJ,MAT_FACTOR_CHOLESKY,MatGetFactor_aij_mumps);CHKERRQ(ierr);
2529   ierr = MatSolverTypeRegister(MATSOLVERMUMPS,MATSEQBAIJ,MAT_FACTOR_LU,MatGetFactor_baij_mumps);CHKERRQ(ierr);
2530   ierr = MatSolverTypeRegister(MATSOLVERMUMPS,MATSEQBAIJ,MAT_FACTOR_CHOLESKY,MatGetFactor_baij_mumps);CHKERRQ(ierr);
2531   ierr = MatSolverTypeRegister(MATSOLVERMUMPS,MATSEQSBAIJ,MAT_FACTOR_CHOLESKY,MatGetFactor_sbaij_mumps);CHKERRQ(ierr);
2532   ierr = MatSolverTypeRegister(MATSOLVERMUMPS,MATSEQSELL,MAT_FACTOR_LU,MatGetFactor_sell_mumps);CHKERRQ(ierr);
2533   PetscFunctionReturn(0);
2534 }
2535 
2536