xref: /petsc/src/mat/impls/aij/mpi/mumps/mumps.c (revision bb599dfd7c43f52b4ca0e4ccf3f912570a953760)
1 
2 /*
3     Provides an interface to the MUMPS sparse solver
4 */
5 
6 #include <../src/mat/impls/aij/mpi/mpiaij.h> /*I  "petscmat.h"  I*/
7 #include <../src/mat/impls/sbaij/mpi/mpisbaij.h>
8 
9 EXTERN_C_BEGIN
10 #if defined(PETSC_USE_COMPLEX)
11 #if defined(PETSC_USE_REAL_SINGLE)
12 #include <cmumps_c.h>
13 #else
14 #include <zmumps_c.h>
15 #endif
16 #else
17 #if defined(PETSC_USE_REAL_SINGLE)
18 #include <smumps_c.h>
19 #else
20 #include <dmumps_c.h>
21 #endif
22 #endif
23 EXTERN_C_END
24 #define JOB_INIT -1
25 #define JOB_FACTSYMBOLIC 1
26 #define JOB_FACTNUMERIC 2
27 #define JOB_SOLVE 3
28 #define JOB_END -2
29 
30 /* calls to MUMPS */
31 #if defined(PETSC_USE_COMPLEX)
32 #if defined(PETSC_USE_REAL_SINGLE)
33 #define PetscMUMPS_c cmumps_c
34 #else
35 #define PetscMUMPS_c zmumps_c
36 #endif
37 #else
38 #if defined(PETSC_USE_REAL_SINGLE)
39 #define PetscMUMPS_c smumps_c
40 #else
41 #define PetscMUMPS_c dmumps_c
42 #endif
43 #endif
44 
45 /* declare MumpsScalar */
46 #if defined(PETSC_USE_COMPLEX)
47 #if defined(PETSC_USE_REAL_SINGLE)
48 #define MumpsScalar mumps_complex
49 #else
50 #define MumpsScalar mumps_double_complex
51 #endif
52 #else
53 #define MumpsScalar PetscScalar
54 #endif
55 
56 /* macros s.t. indices match MUMPS documentation */
57 #define ICNTL(I) icntl[(I)-1]
58 #define CNTL(I) cntl[(I)-1]
59 #define INFOG(I) infog[(I)-1]
60 #define INFO(I) info[(I)-1]
61 #define RINFOG(I) rinfog[(I)-1]
62 #define RINFO(I) rinfo[(I)-1]
63 
64 typedef struct {
65 #if defined(PETSC_USE_COMPLEX)
66 #if defined(PETSC_USE_REAL_SINGLE)
67   CMUMPS_STRUC_C id;
68 #else
69   ZMUMPS_STRUC_C id;
70 #endif
71 #else
72 #if defined(PETSC_USE_REAL_SINGLE)
73   SMUMPS_STRUC_C id;
74 #else
75   DMUMPS_STRUC_C id;
76 #endif
77 #endif
78 
79   MatStructure matstruc;
80   PetscMPIInt  myid,size;
81   PetscInt     *irn,*jcn,nz,sym;
82   PetscScalar  *val;
83   MPI_Comm     comm_mumps;
84   PetscBool    isAIJ;
85   PetscInt     ICNTL9_pre;           /* check if ICNTL(9) is changed from previous MatSolve */
86   VecScatter   scat_rhs, scat_sol;   /* used by MatSolve() */
87   Vec          b_seq,x_seq;
88   PetscInt     ninfo,*info;          /* display INFO */
89   PetscInt     sizeredrhs;
90   PetscScalar  *schur_sol;
91   PetscInt     schur_sizesol;
92 
93   PetscErrorCode (*ConvertToTriples)(Mat, int, MatReuse, int*, int**, int**, PetscScalar**);
94 } Mat_MUMPS;
95 
96 extern PetscErrorCode MatDuplicate_MUMPS(Mat,MatDuplicateOption,Mat*);
97 
98 static PetscErrorCode MatMumpsResetSchur_Private(Mat_MUMPS* mumps)
99 {
100   PetscErrorCode ierr;
101 
102   PetscFunctionBegin;
103   ierr = PetscFree2(mumps->id.listvar_schur,mumps->id.schur);CHKERRQ(ierr);
104   ierr = PetscFree(mumps->id.redrhs);CHKERRQ(ierr);
105   ierr = PetscFree(mumps->schur_sol);CHKERRQ(ierr);
106   mumps->id.size_schur = 0;
107   mumps->id.schur_lld  = 0;
108   mumps->id.ICNTL(19)  = 0;
109   PetscFunctionReturn(0);
110 }
111 
112 /* solve with rhs in mumps->id.redrhs and return in the same location */
113 static PetscErrorCode MatMumpsSolveSchur_Private(Mat F)
114 {
115   Mat_MUMPS            *mumps=(Mat_MUMPS*)F->data;
116   Mat                  S,B,X;
117   MatFactorSchurStatus schurstatus;
118   PetscInt             sizesol;
119   PetscErrorCode       ierr;
120 
121   PetscFunctionBegin;
122   ierr = MatFactorFactorizeSchurComplement(F);CHKERRQ(ierr);
123   ierr = MatFactorGetSchurComplement(F,&S,&schurstatus);CHKERRQ(ierr);
124   ierr = MatCreateSeqDense(PETSC_COMM_SELF,mumps->id.size_schur,mumps->id.nrhs,(PetscScalar*)mumps->id.redrhs,&B);CHKERRQ(ierr);
125   switch (schurstatus) {
126   case MAT_FACTOR_SCHUR_FACTORED:
127     ierr = MatCreateSeqDense(PETSC_COMM_SELF,mumps->id.size_schur,mumps->id.nrhs,(PetscScalar*)mumps->id.redrhs,&X);CHKERRQ(ierr);
128     if (!mumps->id.ICNTL(9)) { /* transpose solve */
129       ierr = MatMatSolveTranspose(S,B,X);CHKERRQ(ierr);
130     } else {
131       ierr = MatMatSolve(S,B,X);CHKERRQ(ierr);
132     }
133     break;
134   case MAT_FACTOR_SCHUR_INVERTED:
135     sizesol = mumps->id.nrhs*mumps->id.size_schur;
136     if (!mumps->schur_sol || sizesol > mumps->schur_sizesol) {
137       ierr = PetscFree(mumps->schur_sol);CHKERRQ(ierr);
138       ierr = PetscMalloc1(sizesol,&mumps->schur_sol);CHKERRQ(ierr);
139       mumps->schur_sizesol = sizesol;
140     }
141     ierr = MatCreateSeqDense(PETSC_COMM_SELF,mumps->id.size_schur,mumps->id.nrhs,mumps->schur_sol,&X);CHKERRQ(ierr);
142     if (!mumps->id.ICNTL(9)) { /* transpose solve */
143       ierr = MatTransposeMatMult(S,B,MAT_REUSE_MATRIX,PETSC_DEFAULT,&X);CHKERRQ(ierr);
144     } else {
145       ierr = MatMatMult(S,B,MAT_REUSE_MATRIX,PETSC_DEFAULT,&X);CHKERRQ(ierr);
146     }
147     ierr = MatCopy(X,B,SAME_NONZERO_PATTERN);CHKERRQ(ierr);
148     break;
149   default:
150     SETERRQ1(PetscObjectComm((PetscObject)F),PETSC_ERR_SUP,"Unhandled MatFactorSchurStatus %D",F->schur_status);
151     break;
152   }
153   ierr = MatFactorRestoreSchurComplement(F,&S,schurstatus);CHKERRQ(ierr);
154   ierr = MatDestroy(&B);CHKERRQ(ierr);
155   ierr = MatDestroy(&X);CHKERRQ(ierr);
156   PetscFunctionReturn(0);
157 }
158 
159 static PetscErrorCode MatMumpsHandleSchur_Private(Mat F, PetscBool expansion)
160 {
161   Mat_MUMPS     *mumps=(Mat_MUMPS*)F->data;
162   PetscErrorCode ierr;
163 
164   PetscFunctionBegin;
165   if (!mumps->id.ICNTL(19)) { /* do nothing when Schur complement has not been computed */
166     PetscFunctionReturn(0);
167   }
168   if (!expansion) { /* prepare for the condensation step */
169     PetscInt sizeredrhs = mumps->id.nrhs*mumps->id.size_schur;
170     /* allocate MUMPS internal array to store reduced right-hand sides */
171     if (!mumps->id.redrhs || sizeredrhs > mumps->sizeredrhs) {
172       ierr = PetscFree(mumps->id.redrhs);CHKERRQ(ierr);
173       mumps->id.lredrhs = mumps->id.size_schur;
174       ierr = PetscMalloc1(mumps->id.nrhs*mumps->id.lredrhs,&mumps->id.redrhs);CHKERRQ(ierr);
175       mumps->sizeredrhs = mumps->id.nrhs*mumps->id.lredrhs;
176     }
177     mumps->id.ICNTL(26) = 1; /* condensation phase */
178   } else { /* prepare for the expansion step */
179     /* solve Schur complement (this has to be done by the MUMPS user, so basically us) */
180     ierr = MatMumpsSolveSchur_Private(F);CHKERRQ(ierr);
181     mumps->id.ICNTL(26) = 2; /* expansion phase */
182     PetscMUMPS_c(&mumps->id);
183     if (mumps->id.INFOG(1) < 0) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error reported by MUMPS in solve phase: INFOG(1)=%d\n",mumps->id.INFOG(1));
184     /* restore defaults */
185     mumps->id.ICNTL(26) = -1;
186     /* free MUMPS internal array for redrhs if we have solved for multiple rhs in order to save memory space */
187     if (mumps->id.nrhs > 1) {
188       ierr = PetscFree(mumps->id.redrhs);CHKERRQ(ierr);
189       mumps->id.lredrhs = 0;
190       mumps->sizeredrhs = 0;
191     }
192   }
193   PetscFunctionReturn(0);
194 }
195 
196 /*
197   MatConvertToTriples_A_B - convert Petsc matrix to triples: row[nz], col[nz], val[nz]
198 
199   input:
200     A       - matrix in aij,baij or sbaij (bs=1) format
201     shift   - 0: C style output triple; 1: Fortran style output triple.
202     reuse   - MAT_INITIAL_MATRIX: spaces are allocated and values are set for the triple
203               MAT_REUSE_MATRIX:   only the values in v array are updated
204   output:
205     nnz     - dim of r, c, and v (number of local nonzero entries of A)
206     r, c, v - row and col index, matrix values (matrix triples)
207 
208   The returned values r, c, and sometimes v are obtained in a single PetscMalloc(). Then in MatDestroy_MUMPS() it is
209   freed with PetscFree((mumps->irn);  This is not ideal code, the fact that v is ONLY sometimes part of mumps->irn means
210   that the PetscMalloc() cannot easily be replaced with a PetscMalloc3().
211 
212  */
213 
214 PetscErrorCode MatConvertToTriples_seqaij_seqaij(Mat A,int shift,MatReuse reuse,int *nnz,int **r, int **c, PetscScalar **v)
215 {
216   const PetscInt *ai,*aj,*ajj,M=A->rmap->n;
217   PetscInt       nz,rnz,i,j;
218   PetscErrorCode ierr;
219   PetscInt       *row,*col;
220   Mat_SeqAIJ     *aa=(Mat_SeqAIJ*)A->data;
221 
222   PetscFunctionBegin;
223   *v=aa->a;
224   if (reuse == MAT_INITIAL_MATRIX) {
225     nz   = aa->nz;
226     ai   = aa->i;
227     aj   = aa->j;
228     *nnz = nz;
229     ierr = PetscMalloc1(2*nz, &row);CHKERRQ(ierr);
230     col  = row + nz;
231 
232     nz = 0;
233     for (i=0; i<M; i++) {
234       rnz = ai[i+1] - ai[i];
235       ajj = aj + ai[i];
236       for (j=0; j<rnz; j++) {
237         row[nz] = i+shift; col[nz++] = ajj[j] + shift;
238       }
239     }
240     *r = row; *c = col;
241   }
242   PetscFunctionReturn(0);
243 }
244 
245 PetscErrorCode MatConvertToTriples_seqbaij_seqaij(Mat A,int shift,MatReuse reuse,int *nnz,int **r, int **c, PetscScalar **v)
246 {
247   Mat_SeqBAIJ    *aa=(Mat_SeqBAIJ*)A->data;
248   const PetscInt *ai,*aj,*ajj,bs2 = aa->bs2;
249   PetscInt       bs,M,nz,idx=0,rnz,i,j,k,m;
250   PetscErrorCode ierr;
251   PetscInt       *row,*col;
252 
253   PetscFunctionBegin;
254   ierr = MatGetBlockSize(A,&bs);CHKERRQ(ierr);
255   M = A->rmap->N/bs;
256   *v = aa->a;
257   if (reuse == MAT_INITIAL_MATRIX) {
258     ai   = aa->i; aj = aa->j;
259     nz   = bs2*aa->nz;
260     *nnz = nz;
261     ierr = PetscMalloc1(2*nz, &row);CHKERRQ(ierr);
262     col  = row + nz;
263 
264     for (i=0; i<M; i++) {
265       ajj = aj + ai[i];
266       rnz = ai[i+1] - ai[i];
267       for (k=0; k<rnz; k++) {
268         for (j=0; j<bs; j++) {
269           for (m=0; m<bs; m++) {
270             row[idx]   = i*bs + m + shift;
271             col[idx++] = bs*(ajj[k]) + j + shift;
272           }
273         }
274       }
275     }
276     *r = row; *c = col;
277   }
278   PetscFunctionReturn(0);
279 }
280 
281 PetscErrorCode MatConvertToTriples_seqsbaij_seqsbaij(Mat A,int shift,MatReuse reuse,int *nnz,int **r, int **c, PetscScalar **v)
282 {
283   const PetscInt *ai, *aj,*ajj,M=A->rmap->n;
284   PetscInt       nz,rnz,i,j;
285   PetscErrorCode ierr;
286   PetscInt       *row,*col;
287   Mat_SeqSBAIJ   *aa=(Mat_SeqSBAIJ*)A->data;
288 
289   PetscFunctionBegin;
290   *v = aa->a;
291   if (reuse == MAT_INITIAL_MATRIX) {
292     nz   = aa->nz;
293     ai   = aa->i;
294     aj   = aa->j;
295     *v   = aa->a;
296     *nnz = nz;
297     ierr = PetscMalloc1(2*nz, &row);CHKERRQ(ierr);
298     col  = row + nz;
299 
300     nz = 0;
301     for (i=0; i<M; i++) {
302       rnz = ai[i+1] - ai[i];
303       ajj = aj + ai[i];
304       for (j=0; j<rnz; j++) {
305         row[nz] = i+shift; col[nz++] = ajj[j] + shift;
306       }
307     }
308     *r = row; *c = col;
309   }
310   PetscFunctionReturn(0);
311 }
312 
313 PetscErrorCode MatConvertToTriples_seqaij_seqsbaij(Mat A,int shift,MatReuse reuse,int *nnz,int **r, int **c, PetscScalar **v)
314 {
315   const PetscInt    *ai,*aj,*ajj,*adiag,M=A->rmap->n;
316   PetscInt          nz,rnz,i,j;
317   const PetscScalar *av,*v1;
318   PetscScalar       *val;
319   PetscErrorCode    ierr;
320   PetscInt          *row,*col;
321   Mat_SeqAIJ        *aa=(Mat_SeqAIJ*)A->data;
322   PetscBool         missing;
323 
324   PetscFunctionBegin;
325   ai   =aa->i; aj=aa->j;av=aa->a;
326   adiag=aa->diag;
327   ierr  = MatMissingDiagonal_SeqAIJ(A,&missing,&i);CHKERRQ(ierr);
328   if (reuse == MAT_INITIAL_MATRIX) {
329     /* count nz in the uppper triangular part of A */
330     nz = 0;
331     if (missing) {
332       for (i=0; i<M; i++) {
333         if (PetscUnlikely(adiag[i] >= ai[i+1])) {
334           for (j=ai[i];j<ai[i+1];j++) {
335             if (aj[j] < i) continue;
336             nz++;
337           }
338         } else {
339           nz += ai[i+1] - adiag[i];
340         }
341       }
342     } else {
343       for (i=0; i<M; i++) nz += ai[i+1] - adiag[i];
344     }
345     *nnz = nz;
346 
347     ierr = PetscMalloc((2*nz*sizeof(PetscInt)+nz*sizeof(PetscScalar)), &row);CHKERRQ(ierr);
348     col  = row + nz;
349     val  = (PetscScalar*)(col + nz);
350 
351     nz = 0;
352     if (missing) {
353       for (i=0; i<M; i++) {
354         if (PetscUnlikely(adiag[i] >= ai[i+1])) {
355           for (j=ai[i];j<ai[i+1];j++) {
356             if (aj[j] < i) continue;
357             row[nz] = i+shift;
358             col[nz] = aj[j]+shift;
359             val[nz] = av[j];
360             nz++;
361           }
362         } else {
363           rnz = ai[i+1] - adiag[i];
364           ajj = aj + adiag[i];
365           v1  = av + adiag[i];
366           for (j=0; j<rnz; j++) {
367             row[nz] = i+shift; col[nz] = ajj[j] + shift; val[nz++] = v1[j];
368           }
369         }
370       }
371     } else {
372       for (i=0; i<M; i++) {
373         rnz = ai[i+1] - adiag[i];
374         ajj = aj + adiag[i];
375         v1  = av + adiag[i];
376         for (j=0; j<rnz; j++) {
377           row[nz] = i+shift; col[nz] = ajj[j] + shift; val[nz++] = v1[j];
378         }
379       }
380     }
381     *r = row; *c = col; *v = val;
382   } else {
383     nz = 0; val = *v;
384     if (missing) {
385       for (i=0; i <M; i++) {
386         if (PetscUnlikely(adiag[i] >= ai[i+1])) {
387           for (j=ai[i];j<ai[i+1];j++) {
388             if (aj[j] < i) continue;
389             val[nz++] = av[j];
390           }
391         } else {
392           rnz = ai[i+1] - adiag[i];
393           v1  = av + adiag[i];
394           for (j=0; j<rnz; j++) {
395             val[nz++] = v1[j];
396           }
397         }
398       }
399     } else {
400       for (i=0; i <M; i++) {
401         rnz = ai[i+1] - adiag[i];
402         v1  = av + adiag[i];
403         for (j=0; j<rnz; j++) {
404           val[nz++] = v1[j];
405         }
406       }
407     }
408   }
409   PetscFunctionReturn(0);
410 }
411 
412 PetscErrorCode MatConvertToTriples_mpisbaij_mpisbaij(Mat A,int shift,MatReuse reuse,int *nnz,int **r, int **c, PetscScalar **v)
413 {
414   const PetscInt    *ai, *aj, *bi, *bj,*garray,m=A->rmap->n,*ajj,*bjj;
415   PetscErrorCode    ierr;
416   PetscInt          rstart,nz,i,j,jj,irow,countA,countB;
417   PetscInt          *row,*col;
418   const PetscScalar *av, *bv,*v1,*v2;
419   PetscScalar       *val;
420   Mat_MPISBAIJ      *mat = (Mat_MPISBAIJ*)A->data;
421   Mat_SeqSBAIJ      *aa  = (Mat_SeqSBAIJ*)(mat->A)->data;
422   Mat_SeqBAIJ       *bb  = (Mat_SeqBAIJ*)(mat->B)->data;
423 
424   PetscFunctionBegin;
425   ai=aa->i; aj=aa->j; bi=bb->i; bj=bb->j; rstart= A->rmap->rstart;
426   av=aa->a; bv=bb->a;
427 
428   garray = mat->garray;
429 
430   if (reuse == MAT_INITIAL_MATRIX) {
431     nz   = aa->nz + bb->nz;
432     *nnz = nz;
433     ierr = PetscMalloc((2*nz*sizeof(PetscInt)+nz*sizeof(PetscScalar)), &row);CHKERRQ(ierr);
434     col  = row + nz;
435     val  = (PetscScalar*)(col + nz);
436 
437     *r = row; *c = col; *v = val;
438   } else {
439     row = *r; col = *c; val = *v;
440   }
441 
442   jj = 0; irow = rstart;
443   for (i=0; i<m; i++) {
444     ajj    = aj + ai[i];                 /* ptr to the beginning of this row */
445     countA = ai[i+1] - ai[i];
446     countB = bi[i+1] - bi[i];
447     bjj    = bj + bi[i];
448     v1     = av + ai[i];
449     v2     = bv + bi[i];
450 
451     /* A-part */
452     for (j=0; j<countA; j++) {
453       if (reuse == MAT_INITIAL_MATRIX) {
454         row[jj] = irow + shift; col[jj] = rstart + ajj[j] + shift;
455       }
456       val[jj++] = v1[j];
457     }
458 
459     /* B-part */
460     for (j=0; j < countB; j++) {
461       if (reuse == MAT_INITIAL_MATRIX) {
462         row[jj] = irow + shift; col[jj] = garray[bjj[j]] + shift;
463       }
464       val[jj++] = v2[j];
465     }
466     irow++;
467   }
468   PetscFunctionReturn(0);
469 }
470 
471 PetscErrorCode MatConvertToTriples_mpiaij_mpiaij(Mat A,int shift,MatReuse reuse,int *nnz,int **r, int **c, PetscScalar **v)
472 {
473   const PetscInt    *ai, *aj, *bi, *bj,*garray,m=A->rmap->n,*ajj,*bjj;
474   PetscErrorCode    ierr;
475   PetscInt          rstart,nz,i,j,jj,irow,countA,countB;
476   PetscInt          *row,*col;
477   const PetscScalar *av, *bv,*v1,*v2;
478   PetscScalar       *val;
479   Mat_MPIAIJ        *mat = (Mat_MPIAIJ*)A->data;
480   Mat_SeqAIJ        *aa  = (Mat_SeqAIJ*)(mat->A)->data;
481   Mat_SeqAIJ        *bb  = (Mat_SeqAIJ*)(mat->B)->data;
482 
483   PetscFunctionBegin;
484   ai=aa->i; aj=aa->j; bi=bb->i; bj=bb->j; rstart= A->rmap->rstart;
485   av=aa->a; bv=bb->a;
486 
487   garray = mat->garray;
488 
489   if (reuse == MAT_INITIAL_MATRIX) {
490     nz   = aa->nz + bb->nz;
491     *nnz = nz;
492     ierr = PetscMalloc((2*nz*sizeof(PetscInt)+nz*sizeof(PetscScalar)), &row);CHKERRQ(ierr);
493     col  = row + nz;
494     val  = (PetscScalar*)(col + nz);
495 
496     *r = row; *c = col; *v = val;
497   } else {
498     row = *r; col = *c; val = *v;
499   }
500 
501   jj = 0; irow = rstart;
502   for (i=0; i<m; i++) {
503     ajj    = aj + ai[i];                 /* ptr to the beginning of this row */
504     countA = ai[i+1] - ai[i];
505     countB = bi[i+1] - bi[i];
506     bjj    = bj + bi[i];
507     v1     = av + ai[i];
508     v2     = bv + bi[i];
509 
510     /* A-part */
511     for (j=0; j<countA; j++) {
512       if (reuse == MAT_INITIAL_MATRIX) {
513         row[jj] = irow + shift; col[jj] = rstart + ajj[j] + shift;
514       }
515       val[jj++] = v1[j];
516     }
517 
518     /* B-part */
519     for (j=0; j < countB; j++) {
520       if (reuse == MAT_INITIAL_MATRIX) {
521         row[jj] = irow + shift; col[jj] = garray[bjj[j]] + shift;
522       }
523       val[jj++] = v2[j];
524     }
525     irow++;
526   }
527   PetscFunctionReturn(0);
528 }
529 
530 PetscErrorCode MatConvertToTriples_mpibaij_mpiaij(Mat A,int shift,MatReuse reuse,int *nnz,int **r, int **c, PetscScalar **v)
531 {
532   Mat_MPIBAIJ       *mat    = (Mat_MPIBAIJ*)A->data;
533   Mat_SeqBAIJ       *aa     = (Mat_SeqBAIJ*)(mat->A)->data;
534   Mat_SeqBAIJ       *bb     = (Mat_SeqBAIJ*)(mat->B)->data;
535   const PetscInt    *ai     = aa->i, *bi = bb->i, *aj = aa->j, *bj = bb->j,*ajj, *bjj;
536   const PetscInt    *garray = mat->garray,mbs=mat->mbs,rstart=A->rmap->rstart;
537   const PetscInt    bs2=mat->bs2;
538   PetscErrorCode    ierr;
539   PetscInt          bs,nz,i,j,k,n,jj,irow,countA,countB,idx;
540   PetscInt          *row,*col;
541   const PetscScalar *av=aa->a, *bv=bb->a,*v1,*v2;
542   PetscScalar       *val;
543 
544   PetscFunctionBegin;
545   ierr = MatGetBlockSize(A,&bs);CHKERRQ(ierr);
546   if (reuse == MAT_INITIAL_MATRIX) {
547     nz   = bs2*(aa->nz + bb->nz);
548     *nnz = nz;
549     ierr = PetscMalloc((2*nz*sizeof(PetscInt)+nz*sizeof(PetscScalar)), &row);CHKERRQ(ierr);
550     col  = row + nz;
551     val  = (PetscScalar*)(col + nz);
552 
553     *r = row; *c = col; *v = val;
554   } else {
555     row = *r; col = *c; val = *v;
556   }
557 
558   jj = 0; irow = rstart;
559   for (i=0; i<mbs; i++) {
560     countA = ai[i+1] - ai[i];
561     countB = bi[i+1] - bi[i];
562     ajj    = aj + ai[i];
563     bjj    = bj + bi[i];
564     v1     = av + bs2*ai[i];
565     v2     = bv + bs2*bi[i];
566 
567     idx = 0;
568     /* A-part */
569     for (k=0; k<countA; k++) {
570       for (j=0; j<bs; j++) {
571         for (n=0; n<bs; n++) {
572           if (reuse == MAT_INITIAL_MATRIX) {
573             row[jj] = irow + n + shift;
574             col[jj] = rstart + bs*ajj[k] + j + shift;
575           }
576           val[jj++] = v1[idx++];
577         }
578       }
579     }
580 
581     idx = 0;
582     /* B-part */
583     for (k=0; k<countB; k++) {
584       for (j=0; j<bs; j++) {
585         for (n=0; n<bs; n++) {
586           if (reuse == MAT_INITIAL_MATRIX) {
587             row[jj] = irow + n + shift;
588             col[jj] = bs*garray[bjj[k]] + j + shift;
589           }
590           val[jj++] = v2[idx++];
591         }
592       }
593     }
594     irow += bs;
595   }
596   PetscFunctionReturn(0);
597 }
598 
599 PetscErrorCode MatConvertToTriples_mpiaij_mpisbaij(Mat A,int shift,MatReuse reuse,int *nnz,int **r, int **c, PetscScalar **v)
600 {
601   const PetscInt    *ai, *aj,*adiag, *bi, *bj,*garray,m=A->rmap->n,*ajj,*bjj;
602   PetscErrorCode    ierr;
603   PetscInt          rstart,nz,nza,nzb,i,j,jj,irow,countA,countB;
604   PetscInt          *row,*col;
605   const PetscScalar *av, *bv,*v1,*v2;
606   PetscScalar       *val;
607   Mat_MPIAIJ        *mat =  (Mat_MPIAIJ*)A->data;
608   Mat_SeqAIJ        *aa  =(Mat_SeqAIJ*)(mat->A)->data;
609   Mat_SeqAIJ        *bb  =(Mat_SeqAIJ*)(mat->B)->data;
610 
611   PetscFunctionBegin;
612   ai=aa->i; aj=aa->j; adiag=aa->diag;
613   bi=bb->i; bj=bb->j; garray = mat->garray;
614   av=aa->a; bv=bb->a;
615 
616   rstart = A->rmap->rstart;
617 
618   if (reuse == MAT_INITIAL_MATRIX) {
619     nza = 0;    /* num of upper triangular entries in mat->A, including diagonals */
620     nzb = 0;    /* num of upper triangular entries in mat->B */
621     for (i=0; i<m; i++) {
622       nza   += (ai[i+1] - adiag[i]);
623       countB = bi[i+1] - bi[i];
624       bjj    = bj + bi[i];
625       for (j=0; j<countB; j++) {
626         if (garray[bjj[j]] > rstart) nzb++;
627       }
628     }
629 
630     nz   = nza + nzb; /* total nz of upper triangular part of mat */
631     *nnz = nz;
632     ierr = PetscMalloc((2*nz*sizeof(PetscInt)+nz*sizeof(PetscScalar)), &row);CHKERRQ(ierr);
633     col  = row + nz;
634     val  = (PetscScalar*)(col + nz);
635 
636     *r = row; *c = col; *v = val;
637   } else {
638     row = *r; col = *c; val = *v;
639   }
640 
641   jj = 0; irow = rstart;
642   for (i=0; i<m; i++) {
643     ajj    = aj + adiag[i];                 /* ptr to the beginning of the diagonal of this row */
644     v1     = av + adiag[i];
645     countA = ai[i+1] - adiag[i];
646     countB = bi[i+1] - bi[i];
647     bjj    = bj + bi[i];
648     v2     = bv + bi[i];
649 
650     /* A-part */
651     for (j=0; j<countA; j++) {
652       if (reuse == MAT_INITIAL_MATRIX) {
653         row[jj] = irow + shift; col[jj] = rstart + ajj[j] + shift;
654       }
655       val[jj++] = v1[j];
656     }
657 
658     /* B-part */
659     for (j=0; j < countB; j++) {
660       if (garray[bjj[j]] > rstart) {
661         if (reuse == MAT_INITIAL_MATRIX) {
662           row[jj] = irow + shift; col[jj] = garray[bjj[j]] + shift;
663         }
664         val[jj++] = v2[j];
665       }
666     }
667     irow++;
668   }
669   PetscFunctionReturn(0);
670 }
671 
672 PetscErrorCode MatDestroy_MUMPS(Mat A)
673 {
674   Mat_MUMPS      *mumps=(Mat_MUMPS*)A->data;
675   PetscErrorCode ierr;
676 
677   PetscFunctionBegin;
678   ierr = PetscFree2(mumps->id.sol_loc,mumps->id.isol_loc);CHKERRQ(ierr);
679   ierr = VecScatterDestroy(&mumps->scat_rhs);CHKERRQ(ierr);
680   ierr = VecScatterDestroy(&mumps->scat_sol);CHKERRQ(ierr);
681   ierr = VecDestroy(&mumps->b_seq);CHKERRQ(ierr);
682   ierr = VecDestroy(&mumps->x_seq);CHKERRQ(ierr);
683   ierr = PetscFree(mumps->id.perm_in);CHKERRQ(ierr);
684   ierr = PetscFree(mumps->irn);CHKERRQ(ierr);
685   ierr = PetscFree(mumps->info);CHKERRQ(ierr);
686   ierr = MatMumpsResetSchur_Private(mumps);CHKERRQ(ierr);
687   mumps->id.job = JOB_END;
688   PetscMUMPS_c(&mumps->id);
689   ierr = MPI_Comm_free(&mumps->comm_mumps);CHKERRQ(ierr);
690   ierr = PetscFree(A->data);CHKERRQ(ierr);
691 
692   /* clear composed functions */
693   ierr = PetscObjectComposeFunction((PetscObject)A,"MatFactorGetSolverType_C",NULL);CHKERRQ(ierr);
694   ierr = PetscObjectComposeFunction((PetscObject)A,"MatFactorSetSchurIS_C",NULL);CHKERRQ(ierr);
695   ierr = PetscObjectComposeFunction((PetscObject)A,"MatFactorCreateSchurComplement_C",NULL);CHKERRQ(ierr);
696   ierr = PetscObjectComposeFunction((PetscObject)A,"MatMumpsSetIcntl_C",NULL);CHKERRQ(ierr);
697   ierr = PetscObjectComposeFunction((PetscObject)A,"MatMumpsGetIcntl_C",NULL);CHKERRQ(ierr);
698   ierr = PetscObjectComposeFunction((PetscObject)A,"MatMumpsSetCntl_C",NULL);CHKERRQ(ierr);
699   ierr = PetscObjectComposeFunction((PetscObject)A,"MatMumpsGetCntl_C",NULL);CHKERRQ(ierr);
700   ierr = PetscObjectComposeFunction((PetscObject)A,"MatMumpsGetInfo_C",NULL);CHKERRQ(ierr);
701   ierr = PetscObjectComposeFunction((PetscObject)A,"MatMumpsGetInfog_C",NULL);CHKERRQ(ierr);
702   ierr = PetscObjectComposeFunction((PetscObject)A,"MatMumpsGetRinfo_C",NULL);CHKERRQ(ierr);
703   ierr = PetscObjectComposeFunction((PetscObject)A,"MatMumpsGetRinfog_C",NULL);CHKERRQ(ierr);
704   ierr = PetscObjectComposeFunction((PetscObject)A,"MatMumpsGetMatInverse_C",NULL);CHKERRQ(ierr);
705   PetscFunctionReturn(0);
706 }
707 
708 PetscErrorCode MatSolve_MUMPS(Mat A,Vec b,Vec x)
709 {
710   Mat_MUMPS        *mumps=(Mat_MUMPS*)A->data;
711   PetscScalar      *array;
712   Vec              b_seq;
713   IS               is_iden,is_petsc;
714   PetscErrorCode   ierr;
715   PetscInt         i;
716   PetscBool        second_solve = PETSC_FALSE;
717   static PetscBool cite1 = PETSC_FALSE,cite2 = PETSC_FALSE;
718 
719   PetscFunctionBegin;
720   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);
721   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);
722 
723   if (A->factorerrortype) {
724     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);
725     ierr = VecSetInf(x);CHKERRQ(ierr);
726     PetscFunctionReturn(0);
727   }
728 
729   mumps->id.nrhs = 1;
730   b_seq          = mumps->b_seq;
731   if (mumps->size > 1) {
732     /* MUMPS only supports centralized rhs. Scatter b into a seqential rhs vector */
733     ierr = VecScatterBegin(mumps->scat_rhs,b,b_seq,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
734     ierr = VecScatterEnd(mumps->scat_rhs,b,b_seq,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
735     if (!mumps->myid) {ierr = VecGetArray(b_seq,&array);CHKERRQ(ierr);}
736   } else {  /* size == 1 */
737     ierr = VecCopy(b,x);CHKERRQ(ierr);
738     ierr = VecGetArray(x,&array);CHKERRQ(ierr);
739   }
740   if (!mumps->myid) { /* define rhs on the host */
741     mumps->id.nrhs = 1;
742     mumps->id.rhs = (MumpsScalar*)array;
743   }
744 
745   /*
746      handle condensation step of Schur complement (if any)
747      We set by default ICNTL(26) == -1 when Schur indices have been provided by the user.
748      According to MUMPS (5.0.0) manual, any value should be harmful during the factorization phase
749      Unless the user provides a valid value for ICNTL(26), MatSolve and MatMatSolve routines solve the full system.
750      This requires an extra call to PetscMUMPS_c and the computation of the factors for S
751   */
752   if (mumps->id.ICNTL(26) < 0 || mumps->id.ICNTL(26) > 2) {
753     if (mumps->size > 1) SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_SUP,"Parallel Schur complements not yet supported from PETSc\n");
754     second_solve = PETSC_TRUE;
755     ierr = MatMumpsHandleSchur_Private(A,PETSC_FALSE);CHKERRQ(ierr);
756   }
757   /* solve phase */
758   /*-------------*/
759   mumps->id.job = JOB_SOLVE;
760   PetscMUMPS_c(&mumps->id);
761   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));
762 
763   /* handle expansion step of Schur complement (if any) */
764   if (second_solve) {
765     ierr = MatMumpsHandleSchur_Private(A,PETSC_TRUE);CHKERRQ(ierr);
766   }
767 
768   if (mumps->size > 1) { /* convert mumps distributed solution to petsc mpi x */
769     if (mumps->scat_sol && mumps->ICNTL9_pre != mumps->id.ICNTL(9)) {
770       /* when id.ICNTL(9) changes, the contents of lsol_loc may change (not its size, lsol_loc), recreates scat_sol */
771       ierr = VecScatterDestroy(&mumps->scat_sol);CHKERRQ(ierr);
772     }
773     if (!mumps->scat_sol) { /* create scatter scat_sol */
774       ierr = ISCreateStride(PETSC_COMM_SELF,mumps->id.lsol_loc,0,1,&is_iden);CHKERRQ(ierr); /* from */
775       for (i=0; i<mumps->id.lsol_loc; i++) {
776         mumps->id.isol_loc[i] -= 1; /* change Fortran style to C style */
777       }
778       ierr = ISCreateGeneral(PETSC_COMM_SELF,mumps->id.lsol_loc,mumps->id.isol_loc,PETSC_COPY_VALUES,&is_petsc);CHKERRQ(ierr);  /* to */
779       ierr = VecScatterCreate(mumps->x_seq,is_iden,x,is_petsc,&mumps->scat_sol);CHKERRQ(ierr);
780       ierr = ISDestroy(&is_iden);CHKERRQ(ierr);
781       ierr = ISDestroy(&is_petsc);CHKERRQ(ierr);
782 
783       mumps->ICNTL9_pre = mumps->id.ICNTL(9); /* save current value of id.ICNTL(9) */
784     }
785 
786     ierr = VecScatterBegin(mumps->scat_sol,mumps->x_seq,x,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
787     ierr = VecScatterEnd(mumps->scat_sol,mumps->x_seq,x,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
788   }
789   PetscFunctionReturn(0);
790 }
791 
792 PetscErrorCode MatSolveTranspose_MUMPS(Mat A,Vec b,Vec x)
793 {
794   Mat_MUMPS      *mumps=(Mat_MUMPS*)A->data;
795   PetscErrorCode ierr;
796 
797   PetscFunctionBegin;
798   mumps->id.ICNTL(9) = 0;
799   ierr = MatSolve_MUMPS(A,b,x);CHKERRQ(ierr);
800   mumps->id.ICNTL(9) = 1;
801   PetscFunctionReturn(0);
802 }
803 
804 PetscErrorCode MatMatSolve_MUMPS(Mat A,Mat B,Mat X)
805 {
806   PetscErrorCode ierr;
807   Mat            Bt = NULL;
808   PetscBool      flg, flgT;
809   Mat_MUMPS      *mumps=(Mat_MUMPS*)A->data;
810   PetscInt       i,nrhs,M;
811   PetscScalar    *array,*bray;
812 
813   PetscFunctionBegin;
814   ierr = PetscObjectTypeCompareAny((PetscObject)B,&flg,MATSEQDENSE,MATMPIDENSE,NULL);CHKERRQ(ierr);
815   ierr = PetscObjectTypeCompare((PetscObject)B,MATTRANSPOSEMAT,&flgT);CHKERRQ(ierr);
816   if (flgT) {
817     if (mumps->size > 1) SETERRQ(PetscObjectComm((PetscObject)B),PETSC_ERR_ARG_WRONG,"Matrix B must be MATDENSE matrix");
818     ierr = MatTransposeGetMat(B,&Bt);CHKERRQ(ierr);
819   } else {
820     if (!flg) SETERRQ(PetscObjectComm((PetscObject)B),PETSC_ERR_ARG_WRONG,"Matrix B must be MATDENSE matrix");
821   }
822 
823   ierr = MatGetSize(B,&M,&nrhs);CHKERRQ(ierr);
824   mumps->id.nrhs = nrhs;
825   mumps->id.lrhs = M;
826 
827 #if 0
828   if (mumps->id.ICNTL(30)) {
829     if (mumps->size == 1 && Bt) {
830       PetscBool   done;
831       PetscScalar *aa;
832       PetscInt    spnr,*ia,*ja;
833 
834       ierr = MatSeqAIJGetArray(Bt,&aa);CHKERRQ(ierr);
835       ierr = MatGetRowIJ(Bt,1,PETSC_FALSE,PETSC_FALSE,&spnr,(const PetscInt**)&ia,(const PetscInt**)&ja,&done);CHKERRQ(ierr);
836       if (!done) SETERRQ(PetscObjectComm((PetscObject)Bt),PETSC_ERR_ARG_WRONG,"Cannot get IJ structure");
837 
838       mumps->id.irhs_ptr    = ia;
839       mumps->id.irhs_sparse = ja;
840       mumps->id.nz_rhs      = ia[spnr] - 1;
841       mumps->id.rhs_sparse  = (MumpsScalar*)aa;
842       mumps->id.ICNTL(20)   = 1; /* rhs is sparse */
843 
844       /* solve phase */
845       /*-------------*/
846       mumps->id.job = JOB_SOLVE;
847       PetscMUMPS_c(&mumps->id);
848       if (mumps->id.INFOG(1) < 0) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error reported by MUMPS in solve phase: INFOG(1)=%d INFOG(2)=%d\n",mumps->id.INFOG(1),mumps->id.INFOG(2));
849     } else {
850       SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_WRONG,"not done yet");
851     }
852     PetscFunctionReturn(0);
853   }
854 #endif
855   ierr = PetscObjectTypeCompareAny((PetscObject)X,&flg,MATSEQDENSE,MATMPIDENSE,NULL);CHKERRQ(ierr);
856   if (!flg) SETERRQ(PetscObjectComm((PetscObject)X),PETSC_ERR_ARG_WRONG,"Matrix X must be MATDENSE matrix");
857 
858   if (B->rmap->n != X->rmap->n) SETERRQ(PetscObjectComm((PetscObject)B),PETSC_ERR_ARG_WRONG,"Matrix B and X must have same row distribution");
859 
860   if (mumps->size == 1) {
861     PetscScalar *aa;
862     PetscInt    spnr,*ia,*ja;
863     PetscBool   second_solve = PETSC_FALSE;
864 
865     /* copy B to X */
866     ierr = MatDenseGetArray(X,&array);CHKERRQ(ierr);
867     mumps->id.rhs = (MumpsScalar*)array;
868     if (!Bt) {
869       ierr = MatDenseGetArray(B,&bray);CHKERRQ(ierr);
870       ierr = PetscMemcpy(array,bray,M*nrhs*sizeof(PetscScalar));CHKERRQ(ierr);
871       ierr = MatDenseRestoreArray(B,&bray);CHKERRQ(ierr);
872     } else {
873       PetscBool done;
874 
875       ierr = MatSeqAIJGetArray(Bt,&aa);CHKERRQ(ierr);
876       ierr = MatGetRowIJ(Bt,1,PETSC_FALSE,PETSC_FALSE,&spnr,(const PetscInt**)&ia,(const PetscInt**)&ja,&done);CHKERRQ(ierr);
877       if (!done) SETERRQ(PetscObjectComm((PetscObject)Bt),PETSC_ERR_ARG_WRONG,"Cannot get IJ structure");
878       mumps->id.irhs_ptr    = ia;
879       mumps->id.irhs_sparse = ja;
880       mumps->id.nz_rhs      = ia[spnr] - 1;
881       mumps->id.rhs_sparse  = (MumpsScalar*)aa;
882       mumps->id.ICNTL(20)   = 1;
883     }
884     /* handle condensation step of Schur complement (if any) */
885     if (mumps->id.ICNTL(26) < 0 || mumps->id.ICNTL(26) > 2) {
886       second_solve = PETSC_TRUE;
887       ierr = MatMumpsHandleSchur_Private(A,PETSC_FALSE);CHKERRQ(ierr);
888     }
889     /* solve phase */
890     /*-------------*/
891     mumps->id.job = JOB_SOLVE;
892     PetscMUMPS_c(&mumps->id);
893     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));
894 
895     /* handle expansion step of Schur complement (if any) */
896     if (second_solve) {
897       ierr = MatMumpsHandleSchur_Private(A,PETSC_TRUE);CHKERRQ(ierr);
898     }
899     if (Bt) {
900       PetscBool done;
901 
902       ierr = MatSeqAIJRestoreArray(Bt,&aa);CHKERRQ(ierr);
903       ierr = MatRestoreRowIJ(Bt,1,PETSC_FALSE,PETSC_FALSE,&spnr,(const PetscInt**)&ia,(const PetscInt**)&ja,&done);CHKERRQ(ierr);
904       if (!done) SETERRQ(PetscObjectComm((PetscObject)Bt),PETSC_ERR_ARG_WRONG,"Cannot restore IJ structure");
905       mumps->id.ICNTL(20) = 0;
906     }
907     ierr = MatDenseRestoreArray(X,&array);CHKERRQ(ierr);
908   } else {  /*--------- parallel case --------*/
909     PetscInt       lsol_loc,nlsol_loc,*isol_loc,*idx,*iidx,*idxx,*isol_loc_save;
910     MumpsScalar    *sol_loc,*sol_loc_save;
911     IS             is_to,is_from;
912     PetscInt       k,proc,j,m;
913     const PetscInt *rstart;
914     Vec            v_mpi,b_seq,x_seq;
915     VecScatter     scat_rhs,scat_sol;
916 
917     if (mumps->size > 1 && mumps->id.ICNTL(19)) SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_SUP,"Parallel Schur complements not yet supported from PETSc\n");
918 
919     /* create x_seq to hold local solution */
920     isol_loc_save = mumps->id.isol_loc; /* save it for MatSovle() */
921     sol_loc_save  = mumps->id.sol_loc;
922 
923     lsol_loc  = mumps->id.INFO(23);
924     nlsol_loc = nrhs*lsol_loc;     /* length of sol_loc */
925     ierr = PetscMalloc2(nlsol_loc,&sol_loc,nlsol_loc,&isol_loc);CHKERRQ(ierr);
926     mumps->id.sol_loc = (MumpsScalar*)sol_loc;
927     mumps->id.isol_loc = isol_loc;
928 
929     ierr = VecCreateSeqWithArray(PETSC_COMM_SELF,1,nlsol_loc,(PetscScalar*)sol_loc,&x_seq);CHKERRQ(ierr);
930 
931     /* copy rhs matrix B into vector v_mpi */
932     ierr = MatGetLocalSize(B,&m,NULL);CHKERRQ(ierr);
933     ierr = MatDenseGetArray(B,&bray);CHKERRQ(ierr);
934     ierr = VecCreateMPIWithArray(PetscObjectComm((PetscObject)B),1,nrhs*m,nrhs*M,(const PetscScalar*)bray,&v_mpi);CHKERRQ(ierr);
935     ierr = MatDenseRestoreArray(B,&bray);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 xx_seq -> X       */
940     ierr = PetscMalloc2(nrhs*M,&idx,nrhs*M,&iidx);CHKERRQ(ierr);
941     ierr = MatGetOwnershipRanges(B,&rstart);CHKERRQ(ierr);
942     k = 0;
943     for (proc=0; proc<mumps->size; proc++){
944       for (j=0; j<nrhs; j++){
945         for (i=rstart[proc]; i<rstart[proc+1]; i++){
946           iidx[j*M + i] = k;
947           idx[k++]      = j*M + i;
948         }
949       }
950     }
951 
952     if (!mumps->myid) {
953       ierr = VecCreateSeq(PETSC_COMM_SELF,nrhs*M,&b_seq);CHKERRQ(ierr);
954       ierr = ISCreateGeneral(PETSC_COMM_SELF,nrhs*M,idx,PETSC_COPY_VALUES,&is_to);CHKERRQ(ierr);
955       ierr = ISCreateStride(PETSC_COMM_SELF,nrhs*M,0,1,&is_from);CHKERRQ(ierr);
956     } else {
957       ierr = VecCreateSeq(PETSC_COMM_SELF,0,&b_seq);CHKERRQ(ierr);
958       ierr = ISCreateStride(PETSC_COMM_SELF,0,0,1,&is_to);CHKERRQ(ierr);
959       ierr = ISCreateStride(PETSC_COMM_SELF,0,0,1,&is_from);CHKERRQ(ierr);
960     }
961     ierr = VecScatterCreate(v_mpi,is_from,b_seq,is_to,&scat_rhs);CHKERRQ(ierr);
962     ierr = VecScatterBegin(scat_rhs,v_mpi,b_seq,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
963     ierr = ISDestroy(&is_to);CHKERRQ(ierr);
964     ierr = ISDestroy(&is_from);CHKERRQ(ierr);
965     ierr = VecScatterEnd(scat_rhs,v_mpi,b_seq,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
966 
967     if (!mumps->myid) { /* define rhs on the host */
968       ierr = VecGetArray(b_seq,&bray);CHKERRQ(ierr);
969       mumps->id.rhs = (MumpsScalar*)bray;
970       ierr = VecRestoreArray(b_seq,&bray);CHKERRQ(ierr);
971     }
972 
973     /* solve phase */
974     /*-------------*/
975     mumps->id.job = JOB_SOLVE;
976     PetscMUMPS_c(&mumps->id);
977     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));
978 
979     /* scatter mumps distributed solution to petsc vector v_mpi, which shares local arrays with solution matrix X */
980     ierr = MatDenseGetArray(X,&array);CHKERRQ(ierr);
981     ierr = VecPlaceArray(v_mpi,array);CHKERRQ(ierr);
982 
983     /* create scatter scat_sol */
984     ierr = PetscMalloc1(nlsol_loc,&idxx);CHKERRQ(ierr);
985     ierr = ISCreateStride(PETSC_COMM_SELF,nlsol_loc,0,1,&is_from);CHKERRQ(ierr);
986     for (i=0; i<lsol_loc; i++) {
987       isol_loc[i] -= 1; /* change Fortran style to C style */
988       idxx[i] = iidx[isol_loc[i]];
989       for (j=1; j<nrhs; j++){
990         idxx[j*lsol_loc+i] = iidx[isol_loc[i]+j*M];
991       }
992     }
993     ierr = ISCreateGeneral(PETSC_COMM_SELF,nlsol_loc,idxx,PETSC_COPY_VALUES,&is_to);CHKERRQ(ierr);
994     ierr = VecScatterCreate(x_seq,is_from,v_mpi,is_to,&scat_sol);CHKERRQ(ierr);
995     ierr = VecScatterBegin(scat_sol,x_seq,v_mpi,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
996     ierr = ISDestroy(&is_from);CHKERRQ(ierr);
997     ierr = ISDestroy(&is_to);CHKERRQ(ierr);
998     ierr = VecScatterEnd(scat_sol,x_seq,v_mpi,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
999     ierr = MatDenseRestoreArray(X,&array);CHKERRQ(ierr);
1000 
1001     /* free spaces */
1002     mumps->id.sol_loc = sol_loc_save;
1003     mumps->id.isol_loc = isol_loc_save;
1004 
1005     ierr = PetscFree2(sol_loc,isol_loc);CHKERRQ(ierr);
1006     ierr = PetscFree2(idx,iidx);CHKERRQ(ierr);
1007     ierr = PetscFree(idxx);CHKERRQ(ierr);
1008     ierr = VecDestroy(&x_seq);CHKERRQ(ierr);
1009     ierr = VecDestroy(&v_mpi);CHKERRQ(ierr);
1010     ierr = VecDestroy(&b_seq);CHKERRQ(ierr);
1011     ierr = VecScatterDestroy(&scat_rhs);CHKERRQ(ierr);
1012     ierr = VecScatterDestroy(&scat_sol);CHKERRQ(ierr);
1013   }
1014   PetscFunctionReturn(0);
1015 }
1016 
1017 #if !defined(PETSC_USE_COMPLEX)
1018 /*
1019   input:
1020    F:        numeric factor
1021   output:
1022    nneg:     total number of negative pivots
1023    nzero:    total number of zero pivots
1024    npos:     (global dimension of F) - nneg - nzero
1025 */
1026 PetscErrorCode MatGetInertia_SBAIJMUMPS(Mat F,int *nneg,int *nzero,int *npos)
1027 {
1028   Mat_MUMPS      *mumps =(Mat_MUMPS*)F->data;
1029   PetscErrorCode ierr;
1030   PetscMPIInt    size;
1031 
1032   PetscFunctionBegin;
1033   ierr = MPI_Comm_size(PetscObjectComm((PetscObject)F),&size);CHKERRQ(ierr);
1034   /* 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 */
1035   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));
1036 
1037   if (nneg) *nneg = mumps->id.INFOG(12);
1038   if (nzero || npos) {
1039     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");
1040     if (nzero) *nzero = mumps->id.INFOG(28);
1041     if (npos) *npos   = F->rmap->N - (mumps->id.INFOG(12) + mumps->id.INFOG(28));
1042   }
1043   PetscFunctionReturn(0);
1044 }
1045 #endif
1046 
1047 PetscErrorCode MatFactorNumeric_MUMPS(Mat F,Mat A,const MatFactorInfo *info)
1048 {
1049   Mat_MUMPS      *mumps =(Mat_MUMPS*)(F)->data;
1050   PetscErrorCode ierr;
1051   PetscBool      isMPIAIJ;
1052 
1053   PetscFunctionBegin;
1054   if (mumps->id.INFOG(1) < 0) {
1055     if (mumps->id.INFOG(1) == -6) {
1056       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);
1057     }
1058     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);
1059     PetscFunctionReturn(0);
1060   }
1061 
1062   ierr = (*mumps->ConvertToTriples)(A, 1, MAT_REUSE_MATRIX, &mumps->nz, &mumps->irn, &mumps->jcn, &mumps->val);CHKERRQ(ierr);
1063 
1064   /* numerical factorization phase */
1065   /*-------------------------------*/
1066   mumps->id.job = JOB_FACTNUMERIC;
1067   if (!mumps->id.ICNTL(18)) { /* A is centralized */
1068     if (!mumps->myid) {
1069       mumps->id.a = (MumpsScalar*)mumps->val;
1070     }
1071   } else {
1072     mumps->id.a_loc = (MumpsScalar*)mumps->val;
1073   }
1074   PetscMUMPS_c(&mumps->id);
1075   if (mumps->id.INFOG(1) < 0) {
1076     if (A->erroriffailure) {
1077       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));
1078     } else {
1079       if (mumps->id.INFOG(1) == -10) { /* numerically singular matrix */
1080         ierr = PetscInfo2(F,"matrix is numerically singular, INFOG(1)=%d, INFO(2)=%d\n",mumps->id.INFOG(1),mumps->id.INFO(2));CHKERRQ(ierr);
1081         F->factorerrortype = MAT_FACTOR_NUMERIC_ZEROPIVOT;
1082       } else if (mumps->id.INFOG(1) == -13) {
1083         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);
1084         F->factorerrortype = MAT_FACTOR_OUTMEMORY;
1085       } else if (mumps->id.INFOG(1) == -8 || mumps->id.INFOG(1) == -9 || (-16 < mumps->id.INFOG(1) && mumps->id.INFOG(1) < -10) ) {
1086         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);
1087         F->factorerrortype = MAT_FACTOR_OUTMEMORY;
1088       } else {
1089         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);
1090         F->factorerrortype = MAT_FACTOR_OTHER;
1091       }
1092     }
1093   }
1094   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));
1095 
1096   F->assembled    = PETSC_TRUE;
1097   mumps->matstruc = SAME_NONZERO_PATTERN;
1098   if (F->schur) { /* reset Schur status to unfactored */
1099     if (mumps->id.ICNTL(19) == 1) { /* stored by rows */
1100       mumps->id.ICNTL(19) = 2;
1101       ierr = MatTranspose(F->schur,MAT_INPLACE_MATRIX,&F->schur);CHKERRQ(ierr);
1102     }
1103     ierr = MatFactorRestoreSchurComplement(F,NULL,MAT_FACTOR_SCHUR_UNFACTORED);CHKERRQ(ierr);
1104   }
1105 
1106   /* just to be sure that ICNTL(19) value returned by a call from MatMumpsGetIcntl is always consistent */
1107   if (!mumps->sym && mumps->id.ICNTL(19) && mumps->id.ICNTL(19) != 1) mumps->id.ICNTL(19) = 3;
1108 
1109   if (mumps->size > 1) {
1110     PetscInt    lsol_loc;
1111     PetscScalar *sol_loc;
1112 
1113     ierr = PetscObjectTypeCompare((PetscObject)A,MATMPIAIJ,&isMPIAIJ);CHKERRQ(ierr);
1114 
1115     /* distributed solution; Create x_seq=sol_loc for repeated use */
1116     if (mumps->x_seq) {
1117       ierr = VecScatterDestroy(&mumps->scat_sol);CHKERRQ(ierr);
1118       ierr = PetscFree2(mumps->id.sol_loc,mumps->id.isol_loc);CHKERRQ(ierr);
1119       ierr = VecDestroy(&mumps->x_seq);CHKERRQ(ierr);
1120     }
1121     lsol_loc = mumps->id.INFO(23); /* length of sol_loc */
1122     ierr = PetscMalloc2(lsol_loc,&sol_loc,lsol_loc,&mumps->id.isol_loc);CHKERRQ(ierr);
1123     mumps->id.lsol_loc = lsol_loc;
1124     mumps->id.sol_loc = (MumpsScalar*)sol_loc;
1125     ierr = VecCreateSeqWithArray(PETSC_COMM_SELF,1,lsol_loc,sol_loc,&mumps->x_seq);CHKERRQ(ierr);
1126   }
1127   PetscFunctionReturn(0);
1128 }
1129 
1130 /* Sets MUMPS options from the options database */
1131 PetscErrorCode PetscSetMUMPSFromOptions(Mat F, Mat A)
1132 {
1133   Mat_MUMPS      *mumps = (Mat_MUMPS*)F->data;
1134   PetscErrorCode ierr;
1135   PetscInt       icntl,info[40],i,ninfo=40;
1136   PetscBool      flg;
1137 
1138   PetscFunctionBegin;
1139   ierr = PetscOptionsBegin(PetscObjectComm((PetscObject)A),((PetscObject)A)->prefix,"MUMPS Options","Mat");CHKERRQ(ierr);
1140   ierr = PetscOptionsInt("-mat_mumps_icntl_1","ICNTL(1): output stream for error messages","None",mumps->id.ICNTL(1),&icntl,&flg);CHKERRQ(ierr);
1141   if (flg) mumps->id.ICNTL(1) = icntl;
1142   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);
1143   if (flg) mumps->id.ICNTL(2) = icntl;
1144   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);
1145   if (flg) mumps->id.ICNTL(3) = icntl;
1146 
1147   ierr = PetscOptionsInt("-mat_mumps_icntl_4","ICNTL(4): level of printing (0 to 4)","None",mumps->id.ICNTL(4),&icntl,&flg);CHKERRQ(ierr);
1148   if (flg) mumps->id.ICNTL(4) = icntl;
1149   if (mumps->id.ICNTL(4) || PetscLogPrintInfo) mumps->id.ICNTL(3) = 6; /* resume MUMPS default id.ICNTL(3) = 6 */
1150 
1151   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);
1152   if (flg) mumps->id.ICNTL(6) = icntl;
1153 
1154   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);
1155   if (flg) {
1156     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");
1157     else mumps->id.ICNTL(7) = icntl;
1158   }
1159 
1160   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);
1161   /* 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() */
1162   ierr = PetscOptionsInt("-mat_mumps_icntl_10","ICNTL(10): max num of refinements","None",mumps->id.ICNTL(10),&mumps->id.ICNTL(10),NULL);CHKERRQ(ierr);
1163   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);
1164   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);
1165   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);
1166   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);
1167   ierr = PetscOptionsInt("-mat_mumps_icntl_19","ICNTL(19): computes the Schur complement","None",mumps->id.ICNTL(19),&mumps->id.ICNTL(19),NULL);CHKERRQ(ierr);
1168   if (mumps->id.ICNTL(19) <= 0 || mumps->id.ICNTL(19) > 3) { /* reset any schur data (if any) */
1169     ierr = MatDestroy(&F->schur);CHKERRQ(ierr);
1170     ierr = MatMumpsResetSchur_Private(mumps);CHKERRQ(ierr);
1171   }
1172   /* 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 */
1173   /* 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 */
1174 
1175   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);
1176   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);
1177   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);
1178   if (mumps->id.ICNTL(24)) {
1179     mumps->id.ICNTL(13) = 1; /* turn-off ScaLAPACK to help with the correct detection of null pivots */
1180   }
1181 
1182   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);
1183   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);
1184   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);
1185   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);
1186   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);
1187   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);
1188   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);
1189   /* 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 */
1190   ierr = PetscOptionsInt("-mat_mumps_icntl_33","ICNTL(33): compute determinant","None",mumps->id.ICNTL(33),&mumps->id.ICNTL(33),NULL);CHKERRQ(ierr);
1191   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);
1192 
1193   ierr = PetscOptionsReal("-mat_mumps_cntl_1","CNTL(1): relative pivoting threshold","None",mumps->id.CNTL(1),&mumps->id.CNTL(1),NULL);CHKERRQ(ierr);
1194   ierr = PetscOptionsReal("-mat_mumps_cntl_2","CNTL(2): stopping criterion of refinement","None",mumps->id.CNTL(2),&mumps->id.CNTL(2),NULL);CHKERRQ(ierr);
1195   ierr = PetscOptionsReal("-mat_mumps_cntl_3","CNTL(3): absolute pivoting threshold","None",mumps->id.CNTL(3),&mumps->id.CNTL(3),NULL);CHKERRQ(ierr);
1196   ierr = PetscOptionsReal("-mat_mumps_cntl_4","CNTL(4): value for static pivoting","None",mumps->id.CNTL(4),&mumps->id.CNTL(4),NULL);CHKERRQ(ierr);
1197   ierr = PetscOptionsReal("-mat_mumps_cntl_5","CNTL(5): fixation for null pivots","None",mumps->id.CNTL(5),&mumps->id.CNTL(5),NULL);CHKERRQ(ierr);
1198   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);
1199 
1200   ierr = PetscOptionsString("-mat_mumps_ooc_tmpdir", "out of core directory", "None", mumps->id.ooc_tmpdir, mumps->id.ooc_tmpdir, 256, NULL);CHKERRQ(ierr);
1201 
1202   ierr = PetscOptionsIntArray("-mat_mumps_view_info","request INFO local to each processor","",info,&ninfo,NULL);CHKERRQ(ierr);
1203   if (ninfo) {
1204     if (ninfo > 40) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_USER,"number of INFO %d must <= 40\n",ninfo);
1205     ierr = PetscMalloc1(ninfo,&mumps->info);CHKERRQ(ierr);
1206     mumps->ninfo = ninfo;
1207     for (i=0; i<ninfo; i++) {
1208       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);
1209       else  mumps->info[i] = info[i];
1210     }
1211   }
1212 
1213   ierr = PetscOptionsEnd();CHKERRQ(ierr);
1214   PetscFunctionReturn(0);
1215 }
1216 
1217 PetscErrorCode PetscInitializeMUMPS(Mat A,Mat_MUMPS *mumps)
1218 {
1219   PetscErrorCode ierr;
1220 
1221   PetscFunctionBegin;
1222   ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)A), &mumps->myid);CHKERRQ(ierr);
1223   ierr = MPI_Comm_size(PetscObjectComm((PetscObject)A),&mumps->size);CHKERRQ(ierr);
1224   ierr = MPI_Comm_dup(PetscObjectComm((PetscObject)A),&(mumps->comm_mumps));CHKERRQ(ierr);
1225 
1226   mumps->id.comm_fortran = MPI_Comm_c2f(mumps->comm_mumps);
1227 
1228   mumps->id.job = JOB_INIT;
1229   mumps->id.par = 1;  /* host participates factorizaton and solve */
1230   mumps->id.sym = mumps->sym;
1231   PetscMUMPS_c(&mumps->id);
1232 
1233   mumps->scat_rhs     = NULL;
1234   mumps->scat_sol     = NULL;
1235 
1236   /* set PETSc-MUMPS default options - override MUMPS default */
1237   mumps->id.ICNTL(3) = 0;
1238   mumps->id.ICNTL(4) = 0;
1239   if (mumps->size == 1) {
1240     mumps->id.ICNTL(18) = 0;   /* centralized assembled matrix input */
1241   } else {
1242     mumps->id.ICNTL(18) = 3;   /* distributed assembled matrix input */
1243     mumps->id.ICNTL(20) = 0;   /* rhs is in dense format */
1244     mumps->id.ICNTL(21) = 1;   /* distributed solution */
1245   }
1246 
1247   /* schur */
1248   mumps->id.size_schur      = 0;
1249   mumps->id.listvar_schur   = NULL;
1250   mumps->id.schur           = NULL;
1251   mumps->sizeredrhs         = 0;
1252   mumps->schur_sol          = NULL;
1253   mumps->schur_sizesol      = 0;
1254   PetscFunctionReturn(0);
1255 }
1256 
1257 PetscErrorCode MatFactorSymbolic_MUMPS_ReportIfError(Mat F,Mat A,const MatFactorInfo *info,Mat_MUMPS *mumps)
1258 {
1259   PetscErrorCode ierr;
1260 
1261   PetscFunctionBegin;
1262   if (mumps->id.INFOG(1) < 0) {
1263     if (A->erroriffailure) {
1264       SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error reported by MUMPS in analysis phase: INFOG(1)=%d\n",mumps->id.INFOG(1));
1265     } else {
1266       if (mumps->id.INFOG(1) == -6) {
1267         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);
1268         F->factorerrortype = MAT_FACTOR_STRUCT_ZEROPIVOT;
1269       } else if (mumps->id.INFOG(1) == -5 || mumps->id.INFOG(1) == -7) {
1270         ierr = PetscInfo2(F,"problem of workspace, INFOG(1)=%d, INFO(2)=%d\n",mumps->id.INFOG(1),mumps->id.INFO(2));CHKERRQ(ierr);
1271         F->factorerrortype = MAT_FACTOR_OUTMEMORY;
1272       } else {
1273         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);
1274         F->factorerrortype = MAT_FACTOR_OTHER;
1275       }
1276     }
1277   }
1278   PetscFunctionReturn(0);
1279 }
1280 
1281 /* Note Petsc r(=c) permutation is used when mumps->id.ICNTL(7)==1 with centralized assembled matrix input; otherwise r and c are ignored */
1282 PetscErrorCode MatLUFactorSymbolic_AIJMUMPS(Mat F,Mat A,IS r,IS c,const MatFactorInfo *info)
1283 {
1284   Mat_MUMPS      *mumps = (Mat_MUMPS*)F->data;
1285   PetscErrorCode ierr;
1286   Vec            b;
1287   IS             is_iden;
1288   const PetscInt M = A->rmap->N;
1289 
1290   PetscFunctionBegin;
1291   mumps->matstruc = DIFFERENT_NONZERO_PATTERN;
1292 
1293   /* Set MUMPS options from the options database */
1294   ierr = PetscSetMUMPSFromOptions(F,A);CHKERRQ(ierr);
1295 
1296   ierr = (*mumps->ConvertToTriples)(A, 1, MAT_INITIAL_MATRIX, &mumps->nz, &mumps->irn, &mumps->jcn, &mumps->val);CHKERRQ(ierr);
1297 
1298   /* analysis phase */
1299   /*----------------*/
1300   mumps->id.job = JOB_FACTSYMBOLIC;
1301   mumps->id.n   = M;
1302   switch (mumps->id.ICNTL(18)) {
1303   case 0:  /* centralized assembled matrix input */
1304     if (!mumps->myid) {
1305       mumps->id.nz =mumps->nz; mumps->id.irn=mumps->irn; mumps->id.jcn=mumps->jcn;
1306       if (mumps->id.ICNTL(6)>1) {
1307         mumps->id.a = (MumpsScalar*)mumps->val;
1308       }
1309       if (mumps->id.ICNTL(7) == 1) { /* use user-provide matrix ordering - assuming r = c ordering */
1310         /*
1311         PetscBool      flag;
1312         ierr = ISEqual(r,c,&flag);CHKERRQ(ierr);
1313         if (!flag) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_USER,"row_perm != col_perm");
1314         ierr = ISView(r,PETSC_VIEWER_STDOUT_SELF);
1315          */
1316         if (!mumps->myid) {
1317           const PetscInt *idx;
1318           PetscInt       i,*perm_in;
1319 
1320           ierr = PetscMalloc1(M,&perm_in);CHKERRQ(ierr);
1321           ierr = ISGetIndices(r,&idx);CHKERRQ(ierr);
1322 
1323           mumps->id.perm_in = perm_in;
1324           for (i=0; i<M; i++) perm_in[i] = idx[i]+1; /* perm_in[]: start from 1, not 0! */
1325           ierr = ISRestoreIndices(r,&idx);CHKERRQ(ierr);
1326         }
1327       }
1328     }
1329     break;
1330   case 3:  /* distributed assembled matrix input (size>1) */
1331     mumps->id.nz_loc = mumps->nz;
1332     mumps->id.irn_loc=mumps->irn; mumps->id.jcn_loc=mumps->jcn;
1333     if (mumps->id.ICNTL(6)>1) {
1334       mumps->id.a_loc = (MumpsScalar*)mumps->val;
1335     }
1336     /* MUMPS only supports centralized rhs. Create scatter scat_rhs for repeated use in MatSolve() */
1337     if (!mumps->myid) {
1338       ierr = VecCreateSeq(PETSC_COMM_SELF,A->rmap->N,&mumps->b_seq);CHKERRQ(ierr);
1339       ierr = ISCreateStride(PETSC_COMM_SELF,A->rmap->N,0,1,&is_iden);CHKERRQ(ierr);
1340     } else {
1341       ierr = VecCreateSeq(PETSC_COMM_SELF,0,&mumps->b_seq);CHKERRQ(ierr);
1342       ierr = ISCreateStride(PETSC_COMM_SELF,0,0,1,&is_iden);CHKERRQ(ierr);
1343     }
1344     ierr = MatCreateVecs(A,NULL,&b);CHKERRQ(ierr);
1345     ierr = VecScatterCreate(b,is_iden,mumps->b_seq,is_iden,&mumps->scat_rhs);CHKERRQ(ierr);
1346     ierr = ISDestroy(&is_iden);CHKERRQ(ierr);
1347     ierr = VecDestroy(&b);CHKERRQ(ierr);
1348     break;
1349   }
1350   PetscMUMPS_c(&mumps->id);
1351   ierr = MatFactorSymbolic_MUMPS_ReportIfError(F,A,info,mumps);CHKERRQ(ierr);
1352 
1353   F->ops->lufactornumeric = MatFactorNumeric_MUMPS;
1354   F->ops->solve           = MatSolve_MUMPS;
1355   F->ops->solvetranspose  = MatSolveTranspose_MUMPS;
1356   F->ops->matsolve        = MatMatSolve_MUMPS;
1357   PetscFunctionReturn(0);
1358 }
1359 
1360 /* Note the Petsc r and c permutations are ignored */
1361 PetscErrorCode MatLUFactorSymbolic_BAIJMUMPS(Mat F,Mat A,IS r,IS c,const MatFactorInfo *info)
1362 {
1363   Mat_MUMPS      *mumps = (Mat_MUMPS*)F->data;
1364   PetscErrorCode ierr;
1365   Vec            b;
1366   IS             is_iden;
1367   const PetscInt M = A->rmap->N;
1368 
1369   PetscFunctionBegin;
1370   mumps->matstruc = DIFFERENT_NONZERO_PATTERN;
1371 
1372   /* Set MUMPS options from the options database */
1373   ierr = PetscSetMUMPSFromOptions(F,A);CHKERRQ(ierr);
1374 
1375   ierr = (*mumps->ConvertToTriples)(A, 1, MAT_INITIAL_MATRIX, &mumps->nz, &mumps->irn, &mumps->jcn, &mumps->val);CHKERRQ(ierr);
1376 
1377   /* analysis phase */
1378   /*----------------*/
1379   mumps->id.job = JOB_FACTSYMBOLIC;
1380   mumps->id.n   = M;
1381   switch (mumps->id.ICNTL(18)) {
1382   case 0:  /* centralized assembled matrix input */
1383     if (!mumps->myid) {
1384       mumps->id.nz =mumps->nz; mumps->id.irn=mumps->irn; mumps->id.jcn=mumps->jcn;
1385       if (mumps->id.ICNTL(6)>1) {
1386         mumps->id.a = (MumpsScalar*)mumps->val;
1387       }
1388     }
1389     break;
1390   case 3:  /* distributed assembled matrix input (size>1) */
1391     mumps->id.nz_loc = mumps->nz;
1392     mumps->id.irn_loc=mumps->irn; mumps->id.jcn_loc=mumps->jcn;
1393     if (mumps->id.ICNTL(6)>1) {
1394       mumps->id.a_loc = (MumpsScalar*)mumps->val;
1395     }
1396     /* MUMPS only supports centralized rhs. Create scatter scat_rhs for repeated use in MatSolve() */
1397     if (!mumps->myid) {
1398       ierr = VecCreateSeq(PETSC_COMM_SELF,A->cmap->N,&mumps->b_seq);CHKERRQ(ierr);
1399       ierr = ISCreateStride(PETSC_COMM_SELF,A->cmap->N,0,1,&is_iden);CHKERRQ(ierr);
1400     } else {
1401       ierr = VecCreateSeq(PETSC_COMM_SELF,0,&mumps->b_seq);CHKERRQ(ierr);
1402       ierr = ISCreateStride(PETSC_COMM_SELF,0,0,1,&is_iden);CHKERRQ(ierr);
1403     }
1404     ierr = MatCreateVecs(A,NULL,&b);CHKERRQ(ierr);
1405     ierr = VecScatterCreate(b,is_iden,mumps->b_seq,is_iden,&mumps->scat_rhs);CHKERRQ(ierr);
1406     ierr = ISDestroy(&is_iden);CHKERRQ(ierr);
1407     ierr = VecDestroy(&b);CHKERRQ(ierr);
1408     break;
1409   }
1410   PetscMUMPS_c(&mumps->id);
1411   ierr = MatFactorSymbolic_MUMPS_ReportIfError(F,A,info,mumps);CHKERRQ(ierr);
1412 
1413   F->ops->lufactornumeric = MatFactorNumeric_MUMPS;
1414   F->ops->solve           = MatSolve_MUMPS;
1415   F->ops->solvetranspose  = MatSolveTranspose_MUMPS;
1416   PetscFunctionReturn(0);
1417 }
1418 
1419 /* Note the Petsc r permutation and factor info are ignored */
1420 PetscErrorCode MatCholeskyFactorSymbolic_MUMPS(Mat F,Mat A,IS r,const MatFactorInfo *info)
1421 {
1422   Mat_MUMPS      *mumps = (Mat_MUMPS*)F->data;
1423   PetscErrorCode ierr;
1424   Vec            b;
1425   IS             is_iden;
1426   const PetscInt M = A->rmap->N;
1427 
1428   PetscFunctionBegin;
1429   mumps->matstruc = DIFFERENT_NONZERO_PATTERN;
1430 
1431   /* Set MUMPS options from the options database */
1432   ierr = PetscSetMUMPSFromOptions(F,A);CHKERRQ(ierr);
1433 
1434   ierr = (*mumps->ConvertToTriples)(A, 1, MAT_INITIAL_MATRIX, &mumps->nz, &mumps->irn, &mumps->jcn, &mumps->val);CHKERRQ(ierr);
1435 
1436   /* analysis phase */
1437   /*----------------*/
1438   mumps->id.job = JOB_FACTSYMBOLIC;
1439   mumps->id.n   = M;
1440   switch (mumps->id.ICNTL(18)) {
1441   case 0:  /* centralized assembled matrix input */
1442     if (!mumps->myid) {
1443       mumps->id.nz =mumps->nz; mumps->id.irn=mumps->irn; mumps->id.jcn=mumps->jcn;
1444       if (mumps->id.ICNTL(6)>1) {
1445         mumps->id.a = (MumpsScalar*)mumps->val;
1446       }
1447     }
1448     break;
1449   case 3:  /* distributed assembled matrix input (size>1) */
1450     mumps->id.nz_loc = mumps->nz;
1451     mumps->id.irn_loc=mumps->irn; mumps->id.jcn_loc=mumps->jcn;
1452     if (mumps->id.ICNTL(6)>1) {
1453       mumps->id.a_loc = (MumpsScalar*)mumps->val;
1454     }
1455     /* MUMPS only supports centralized rhs. Create scatter scat_rhs for repeated use in MatSolve() */
1456     if (!mumps->myid) {
1457       ierr = VecCreateSeq(PETSC_COMM_SELF,A->cmap->N,&mumps->b_seq);CHKERRQ(ierr);
1458       ierr = ISCreateStride(PETSC_COMM_SELF,A->cmap->N,0,1,&is_iden);CHKERRQ(ierr);
1459     } else {
1460       ierr = VecCreateSeq(PETSC_COMM_SELF,0,&mumps->b_seq);CHKERRQ(ierr);
1461       ierr = ISCreateStride(PETSC_COMM_SELF,0,0,1,&is_iden);CHKERRQ(ierr);
1462     }
1463     ierr = MatCreateVecs(A,NULL,&b);CHKERRQ(ierr);
1464     ierr = VecScatterCreate(b,is_iden,mumps->b_seq,is_iden,&mumps->scat_rhs);CHKERRQ(ierr);
1465     ierr = ISDestroy(&is_iden);CHKERRQ(ierr);
1466     ierr = VecDestroy(&b);CHKERRQ(ierr);
1467     break;
1468   }
1469   PetscMUMPS_c(&mumps->id);
1470   ierr = MatFactorSymbolic_MUMPS_ReportIfError(F,A,info,mumps);CHKERRQ(ierr);
1471 
1472   F->ops->choleskyfactornumeric = MatFactorNumeric_MUMPS;
1473   F->ops->solve                 = MatSolve_MUMPS;
1474   F->ops->solvetranspose        = MatSolve_MUMPS;
1475   F->ops->matsolve              = MatMatSolve_MUMPS;
1476 #if defined(PETSC_USE_COMPLEX)
1477   F->ops->getinertia = NULL;
1478 #else
1479   F->ops->getinertia = MatGetInertia_SBAIJMUMPS;
1480 #endif
1481   PetscFunctionReturn(0);
1482 }
1483 
1484 PetscErrorCode MatView_MUMPS(Mat A,PetscViewer viewer)
1485 {
1486   PetscErrorCode    ierr;
1487   PetscBool         iascii;
1488   PetscViewerFormat format;
1489   Mat_MUMPS         *mumps=(Mat_MUMPS*)A->data;
1490 
1491   PetscFunctionBegin;
1492   /* check if matrix is mumps type */
1493   if (A->ops->solve != MatSolve_MUMPS) PetscFunctionReturn(0);
1494 
1495   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&iascii);CHKERRQ(ierr);
1496   if (iascii) {
1497     ierr = PetscViewerGetFormat(viewer,&format);CHKERRQ(ierr);
1498     if (format == PETSC_VIEWER_ASCII_INFO) {
1499       ierr = PetscViewerASCIIPrintf(viewer,"MUMPS run parameters:\n");CHKERRQ(ierr);
1500       ierr = PetscViewerASCIIPrintf(viewer,"  SYM (matrix type):                   %d \n",mumps->id.sym);CHKERRQ(ierr);
1501       ierr = PetscViewerASCIIPrintf(viewer,"  PAR (host participation):            %d \n",mumps->id.par);CHKERRQ(ierr);
1502       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(1) (output for error):         %d \n",mumps->id.ICNTL(1));CHKERRQ(ierr);
1503       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(2) (output of diagnostic msg): %d \n",mumps->id.ICNTL(2));CHKERRQ(ierr);
1504       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(3) (output for global info):   %d \n",mumps->id.ICNTL(3));CHKERRQ(ierr);
1505       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(4) (level of printing):        %d \n",mumps->id.ICNTL(4));CHKERRQ(ierr);
1506       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(5) (input mat struct):         %d \n",mumps->id.ICNTL(5));CHKERRQ(ierr);
1507       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(6) (matrix prescaling):        %d \n",mumps->id.ICNTL(6));CHKERRQ(ierr);
1508       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(7) (sequential matrix ordering):%d \n",mumps->id.ICNTL(7));CHKERRQ(ierr);
1509       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(8) (scaling strategy):        %d \n",mumps->id.ICNTL(8));CHKERRQ(ierr);
1510       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(10) (max num of refinements):  %d \n",mumps->id.ICNTL(10));CHKERRQ(ierr);
1511       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(11) (error analysis):          %d \n",mumps->id.ICNTL(11));CHKERRQ(ierr);
1512       if (mumps->id.ICNTL(11)>0) {
1513         ierr = PetscViewerASCIIPrintf(viewer,"    RINFOG(4) (inf norm of input mat):        %g\n",mumps->id.RINFOG(4));CHKERRQ(ierr);
1514         ierr = PetscViewerASCIIPrintf(viewer,"    RINFOG(5) (inf norm of solution):         %g\n",mumps->id.RINFOG(5));CHKERRQ(ierr);
1515         ierr = PetscViewerASCIIPrintf(viewer,"    RINFOG(6) (inf norm of residual):         %g\n",mumps->id.RINFOG(6));CHKERRQ(ierr);
1516         ierr = PetscViewerASCIIPrintf(viewer,"    RINFOG(7),RINFOG(8) (backward error est): %g, %g\n",mumps->id.RINFOG(7),mumps->id.RINFOG(8));CHKERRQ(ierr);
1517         ierr = PetscViewerASCIIPrintf(viewer,"    RINFOG(9) (error estimate):               %g \n",mumps->id.RINFOG(9));CHKERRQ(ierr);
1518         ierr = PetscViewerASCIIPrintf(viewer,"    RINFOG(10),RINFOG(11)(condition numbers): %g, %g\n",mumps->id.RINFOG(10),mumps->id.RINFOG(11));CHKERRQ(ierr);
1519       }
1520       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(12) (efficiency control):                         %d \n",mumps->id.ICNTL(12));CHKERRQ(ierr);
1521       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(13) (efficiency control):                         %d \n",mumps->id.ICNTL(13));CHKERRQ(ierr);
1522       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(14) (percentage of estimated workspace increase): %d \n",mumps->id.ICNTL(14));CHKERRQ(ierr);
1523       /* ICNTL(15-17) not used */
1524       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(18) (input mat struct):                           %d \n",mumps->id.ICNTL(18));CHKERRQ(ierr);
1525       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(19) (Schur complement info):                       %d \n",mumps->id.ICNTL(19));CHKERRQ(ierr);
1526       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(20) (rhs sparse pattern):                         %d \n",mumps->id.ICNTL(20));CHKERRQ(ierr);
1527       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(21) (solution struct):                            %d \n",mumps->id.ICNTL(21));CHKERRQ(ierr);
1528       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(22) (in-core/out-of-core facility):               %d \n",mumps->id.ICNTL(22));CHKERRQ(ierr);
1529       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(23) (max size of memory can be allocated locally):%d \n",mumps->id.ICNTL(23));CHKERRQ(ierr);
1530 
1531       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(24) (detection of null pivot rows):               %d \n",mumps->id.ICNTL(24));CHKERRQ(ierr);
1532       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(25) (computation of a null space basis):          %d \n",mumps->id.ICNTL(25));CHKERRQ(ierr);
1533       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(26) (Schur options for rhs or solution):          %d \n",mumps->id.ICNTL(26));CHKERRQ(ierr);
1534       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(27) (experimental parameter):                     %d \n",mumps->id.ICNTL(27));CHKERRQ(ierr);
1535       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(28) (use parallel or sequential ordering):        %d \n",mumps->id.ICNTL(28));CHKERRQ(ierr);
1536       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(29) (parallel ordering):                          %d \n",mumps->id.ICNTL(29));CHKERRQ(ierr);
1537 
1538       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(30) (user-specified set of entries in inv(A)):    %d \n",mumps->id.ICNTL(30));CHKERRQ(ierr);
1539       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(31) (factors is discarded in the solve phase):    %d \n",mumps->id.ICNTL(31));CHKERRQ(ierr);
1540       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(33) (compute determinant):                        %d \n",mumps->id.ICNTL(33));CHKERRQ(ierr);
1541       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(35) (activate BLR based factorization):           %d \n",mumps->id.ICNTL(35));CHKERRQ(ierr);
1542 
1543       ierr = PetscViewerASCIIPrintf(viewer,"  CNTL(1) (relative pivoting threshold):      %g \n",mumps->id.CNTL(1));CHKERRQ(ierr);
1544       ierr = PetscViewerASCIIPrintf(viewer,"  CNTL(2) (stopping criterion of refinement): %g \n",mumps->id.CNTL(2));CHKERRQ(ierr);
1545       ierr = PetscViewerASCIIPrintf(viewer,"  CNTL(3) (absolute pivoting threshold):      %g \n",mumps->id.CNTL(3));CHKERRQ(ierr);
1546       ierr = PetscViewerASCIIPrintf(viewer,"  CNTL(4) (value of static pivoting):         %g \n",mumps->id.CNTL(4));CHKERRQ(ierr);
1547       ierr = PetscViewerASCIIPrintf(viewer,"  CNTL(5) (fixation for null pivots):         %g \n",mumps->id.CNTL(5));CHKERRQ(ierr);
1548       ierr = PetscViewerASCIIPrintf(viewer,"  CNTL(7) (dropping parameter for BLR):       %g \n",mumps->id.CNTL(7));CHKERRQ(ierr);
1549 
1550       /* infomation local to each processor */
1551       ierr = PetscViewerASCIIPrintf(viewer, "  RINFO(1) (local estimated flops for the elimination after analysis): \n");CHKERRQ(ierr);
1552       ierr = PetscViewerASCIIPushSynchronized(viewer);CHKERRQ(ierr);
1553       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"    [%d] %g \n",mumps->myid,mumps->id.RINFO(1));CHKERRQ(ierr);
1554       ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
1555       ierr = PetscViewerASCIIPrintf(viewer, "  RINFO(2) (local estimated flops for the assembly after factorization): \n");CHKERRQ(ierr);
1556       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"    [%d]  %g \n",mumps->myid,mumps->id.RINFO(2));CHKERRQ(ierr);
1557       ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
1558       ierr = PetscViewerASCIIPrintf(viewer, "  RINFO(3) (local estimated flops for the elimination after factorization): \n");CHKERRQ(ierr);
1559       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"    [%d]  %g \n",mumps->myid,mumps->id.RINFO(3));CHKERRQ(ierr);
1560       ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
1561 
1562       ierr = PetscViewerASCIIPrintf(viewer, "  INFO(15) (estimated size of (in MB) MUMPS internal data for running numerical factorization): \n");CHKERRQ(ierr);
1563       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"  [%d] %d \n",mumps->myid,mumps->id.INFO(15));CHKERRQ(ierr);
1564       ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
1565 
1566       ierr = PetscViewerASCIIPrintf(viewer, "  INFO(16) (size of (in MB) MUMPS internal data used during numerical factorization): \n");CHKERRQ(ierr);
1567       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"    [%d] %d \n",mumps->myid,mumps->id.INFO(16));CHKERRQ(ierr);
1568       ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
1569 
1570       ierr = PetscViewerASCIIPrintf(viewer, "  INFO(23) (num of pivots eliminated on this processor after factorization): \n");CHKERRQ(ierr);
1571       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"    [%d] %d \n",mumps->myid,mumps->id.INFO(23));CHKERRQ(ierr);
1572       ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
1573 
1574       if (mumps->ninfo && mumps->ninfo <= 40){
1575         PetscInt i;
1576         for (i=0; i<mumps->ninfo; i++){
1577           ierr = PetscViewerASCIIPrintf(viewer, "  INFO(%d): \n",mumps->info[i]);CHKERRQ(ierr);
1578           ierr = PetscViewerASCIISynchronizedPrintf(viewer,"    [%d] %d \n",mumps->myid,mumps->id.INFO(mumps->info[i]));CHKERRQ(ierr);
1579           ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
1580         }
1581       }
1582 
1583 
1584       ierr = PetscViewerASCIIPopSynchronized(viewer);CHKERRQ(ierr);
1585 
1586       if (!mumps->myid) { /* information from the host */
1587         ierr = PetscViewerASCIIPrintf(viewer,"  RINFOG(1) (global estimated flops for the elimination after analysis): %g \n",mumps->id.RINFOG(1));CHKERRQ(ierr);
1588         ierr = PetscViewerASCIIPrintf(viewer,"  RINFOG(2) (global estimated flops for the assembly after factorization): %g \n",mumps->id.RINFOG(2));CHKERRQ(ierr);
1589         ierr = PetscViewerASCIIPrintf(viewer,"  RINFOG(3) (global estimated flops for the elimination after factorization): %g \n",mumps->id.RINFOG(3));CHKERRQ(ierr);
1590         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);
1591 
1592         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(3) (estimated real workspace for factors on all processors after analysis): %d \n",mumps->id.INFOG(3));CHKERRQ(ierr);
1593         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(4) (estimated integer workspace for factors on all processors after analysis): %d \n",mumps->id.INFOG(4));CHKERRQ(ierr);
1594         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(5) (estimated maximum front size in the complete tree): %d \n",mumps->id.INFOG(5));CHKERRQ(ierr);
1595         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(6) (number of nodes in the complete tree): %d \n",mumps->id.INFOG(6));CHKERRQ(ierr);
1596         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(7) (ordering option effectively use after analysis): %d \n",mumps->id.INFOG(7));CHKERRQ(ierr);
1597         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(8) (structural symmetry in percent of the permuted matrix after analysis): %d \n",mumps->id.INFOG(8));CHKERRQ(ierr);
1598         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(9) (total real/complex workspace to store the matrix factors after factorization): %d \n",mumps->id.INFOG(9));CHKERRQ(ierr);
1599         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(10) (total integer space store the matrix factors after factorization): %d \n",mumps->id.INFOG(10));CHKERRQ(ierr);
1600         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(11) (order of largest frontal matrix after factorization): %d \n",mumps->id.INFOG(11));CHKERRQ(ierr);
1601         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(12) (number of off-diagonal pivots): %d \n",mumps->id.INFOG(12));CHKERRQ(ierr);
1602         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(13) (number of delayed pivots after factorization): %d \n",mumps->id.INFOG(13));CHKERRQ(ierr);
1603         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(14) (number of memory compress after factorization): %d \n",mumps->id.INFOG(14));CHKERRQ(ierr);
1604         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(15) (number of steps of iterative refinement after solution): %d \n",mumps->id.INFOG(15));CHKERRQ(ierr);
1605         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);
1606         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);
1607         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);
1608         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);
1609         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(20) (estimated number of entries in the factors): %d \n",mumps->id.INFOG(20));CHKERRQ(ierr);
1610         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);
1611         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);
1612         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(23) (after analysis: value of ICNTL(6) effectively used): %d \n",mumps->id.INFOG(23));CHKERRQ(ierr);
1613         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(24) (after analysis: value of ICNTL(12) effectively used): %d \n",mumps->id.INFOG(24));CHKERRQ(ierr);
1614         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(25) (after factorization: number of pivots modified by static pivoting): %d \n",mumps->id.INFOG(25));CHKERRQ(ierr);
1615         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(28) (after factorization: number of null pivots encountered): %d\n",mumps->id.INFOG(28));CHKERRQ(ierr);
1616         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);
1617         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);
1618         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(32) (after analysis: type of analysis done): %d\n",mumps->id.INFOG(32));CHKERRQ(ierr);
1619         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(33) (value used for ICNTL(8)): %d\n",mumps->id.INFOG(33));CHKERRQ(ierr);
1620         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(34) (exponent of the determinant if determinant is requested): %d\n",mumps->id.INFOG(34));CHKERRQ(ierr);
1621       }
1622     }
1623   }
1624   PetscFunctionReturn(0);
1625 }
1626 
1627 PetscErrorCode MatGetInfo_MUMPS(Mat A,MatInfoType flag,MatInfo *info)
1628 {
1629   Mat_MUMPS *mumps =(Mat_MUMPS*)A->data;
1630 
1631   PetscFunctionBegin;
1632   info->block_size        = 1.0;
1633   info->nz_allocated      = mumps->id.INFOG(20);
1634   info->nz_used           = mumps->id.INFOG(20);
1635   info->nz_unneeded       = 0.0;
1636   info->assemblies        = 0.0;
1637   info->mallocs           = 0.0;
1638   info->memory            = 0.0;
1639   info->fill_ratio_given  = 0;
1640   info->fill_ratio_needed = 0;
1641   info->factor_mallocs    = 0;
1642   PetscFunctionReturn(0);
1643 }
1644 
1645 /* -------------------------------------------------------------------------------------------*/
1646 PetscErrorCode MatFactorSetSchurIS_MUMPS(Mat F, IS is)
1647 {
1648   Mat_MUMPS      *mumps =(Mat_MUMPS*)F->data;
1649   const PetscInt *idxs;
1650   PetscInt       size,i;
1651   PetscErrorCode ierr;
1652 
1653   PetscFunctionBegin;
1654   ierr = ISGetLocalSize(is,&size);CHKERRQ(ierr);
1655   if (mumps->size > 1) {
1656     PetscBool ls,gs;
1657 
1658     ls   = mumps->myid ? (size ? PETSC_FALSE : PETSC_TRUE) : PETSC_TRUE;
1659     ierr = MPI_Allreduce(&ls,&gs,1,MPIU_BOOL,MPI_LAND,mumps->comm_mumps);CHKERRQ(ierr);
1660     if (!gs) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"MUMPS distributed parallel Schur complements not yet supported from PETSc\n");
1661   }
1662   if (mumps->id.size_schur != size) {
1663     ierr = PetscFree2(mumps->id.listvar_schur,mumps->id.schur);CHKERRQ(ierr);
1664     mumps->id.size_schur = size;
1665     mumps->id.schur_lld  = size;
1666     ierr = PetscMalloc2(size,&mumps->id.listvar_schur,size*size,&mumps->id.schur);CHKERRQ(ierr);
1667   }
1668 
1669   /* Schur complement matrix */
1670   ierr = MatCreateSeqDense(PETSC_COMM_SELF,mumps->id.size_schur,mumps->id.size_schur,(PetscScalar*)mumps->id.schur,&F->schur);CHKERRQ(ierr);
1671   if (mumps->sym == 1) {
1672     ierr = MatSetOption(F->schur,MAT_SPD,PETSC_TRUE);CHKERRQ(ierr);
1673   }
1674 
1675   /* MUMPS expects Fortran style indices */
1676   ierr = ISGetIndices(is,&idxs);CHKERRQ(ierr);
1677   ierr = PetscMemcpy(mumps->id.listvar_schur,idxs,size*sizeof(PetscInt));CHKERRQ(ierr);
1678   for (i=0;i<size;i++) mumps->id.listvar_schur[i]++;
1679   ierr = ISRestoreIndices(is,&idxs);CHKERRQ(ierr);
1680   if (mumps->size > 1) {
1681     mumps->id.ICNTL(19) = 1; /* MUMPS returns Schur centralized on the host */
1682   } else {
1683     if (F->factortype == MAT_FACTOR_LU) {
1684       mumps->id.ICNTL(19) = 3; /* MUMPS returns full matrix */
1685     } else {
1686       mumps->id.ICNTL(19) = 2; /* MUMPS returns lower triangular part */
1687     }
1688   }
1689   /* set a special value of ICNTL (not handled my MUMPS) to be used in the solve phase by PETSc */
1690   mumps->id.ICNTL(26) = -1;
1691   PetscFunctionReturn(0);
1692 }
1693 
1694 /* -------------------------------------------------------------------------------------------*/
1695 PetscErrorCode MatFactorCreateSchurComplement_MUMPS(Mat F,Mat* S)
1696 {
1697   Mat            St;
1698   Mat_MUMPS      *mumps =(Mat_MUMPS*)F->data;
1699   PetscScalar    *array;
1700 #if defined(PETSC_USE_COMPLEX)
1701   PetscScalar    im = PetscSqrtScalar((PetscScalar)-1.0);
1702 #endif
1703   PetscErrorCode ierr;
1704 
1705   PetscFunctionBegin;
1706   if (!mumps->id.ICNTL(19)) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur complement mode not selected! You should call MatFactorSetSchurIS to enable it");
1707   ierr = MatCreate(PETSC_COMM_SELF,&St);CHKERRQ(ierr);
1708   ierr = MatSetSizes(St,PETSC_DECIDE,PETSC_DECIDE,mumps->id.size_schur,mumps->id.size_schur);CHKERRQ(ierr);
1709   ierr = MatSetType(St,MATDENSE);CHKERRQ(ierr);
1710   ierr = MatSetUp(St);CHKERRQ(ierr);
1711   ierr = MatDenseGetArray(St,&array);CHKERRQ(ierr);
1712   if (!mumps->sym) { /* MUMPS always return a full matrix */
1713     if (mumps->id.ICNTL(19) == 1) { /* stored by rows */
1714       PetscInt i,j,N=mumps->id.size_schur;
1715       for (i=0;i<N;i++) {
1716         for (j=0;j<N;j++) {
1717 #if !defined(PETSC_USE_COMPLEX)
1718           PetscScalar val = mumps->id.schur[i*N+j];
1719 #else
1720           PetscScalar val = mumps->id.schur[i*N+j].r + im*mumps->id.schur[i*N+j].i;
1721 #endif
1722           array[j*N+i] = val;
1723         }
1724       }
1725     } else { /* stored by columns */
1726       ierr = PetscMemcpy(array,mumps->id.schur,mumps->id.size_schur*mumps->id.size_schur*sizeof(PetscScalar));CHKERRQ(ierr);
1727     }
1728   } else { /* either full or lower-triangular (not packed) */
1729     if (mumps->id.ICNTL(19) == 2) { /* lower triangular stored by columns */
1730       PetscInt i,j,N=mumps->id.size_schur;
1731       for (i=0;i<N;i++) {
1732         for (j=i;j<N;j++) {
1733 #if !defined(PETSC_USE_COMPLEX)
1734           PetscScalar val = mumps->id.schur[i*N+j];
1735 #else
1736           PetscScalar val = mumps->id.schur[i*N+j].r + im*mumps->id.schur[i*N+j].i;
1737 #endif
1738           array[i*N+j] = val;
1739           array[j*N+i] = val;
1740         }
1741       }
1742     } else if (mumps->id.ICNTL(19) == 3) { /* full matrix */
1743       ierr = PetscMemcpy(array,mumps->id.schur,mumps->id.size_schur*mumps->id.size_schur*sizeof(PetscScalar));CHKERRQ(ierr);
1744     } else { /* ICNTL(19) == 1 lower triangular stored by rows */
1745       PetscInt i,j,N=mumps->id.size_schur;
1746       for (i=0;i<N;i++) {
1747         for (j=0;j<i+1;j++) {
1748 #if !defined(PETSC_USE_COMPLEX)
1749           PetscScalar val = mumps->id.schur[i*N+j];
1750 #else
1751           PetscScalar val = mumps->id.schur[i*N+j].r + im*mumps->id.schur[i*N+j].i;
1752 #endif
1753           array[i*N+j] = val;
1754           array[j*N+i] = val;
1755         }
1756       }
1757     }
1758   }
1759   ierr = MatDenseRestoreArray(St,&array);CHKERRQ(ierr);
1760   *S   = St;
1761   PetscFunctionReturn(0);
1762 }
1763 
1764 /* -------------------------------------------------------------------------------------------*/
1765 PetscErrorCode MatMumpsSetIcntl_MUMPS(Mat F,PetscInt icntl,PetscInt ival)
1766 {
1767   Mat_MUMPS *mumps =(Mat_MUMPS*)F->data;
1768 
1769   PetscFunctionBegin;
1770   mumps->id.ICNTL(icntl) = ival;
1771   PetscFunctionReturn(0);
1772 }
1773 
1774 PetscErrorCode MatMumpsGetIcntl_MUMPS(Mat F,PetscInt icntl,PetscInt *ival)
1775 {
1776   Mat_MUMPS *mumps =(Mat_MUMPS*)F->data;
1777 
1778   PetscFunctionBegin;
1779   *ival = mumps->id.ICNTL(icntl);
1780   PetscFunctionReturn(0);
1781 }
1782 
1783 /*@
1784   MatMumpsSetIcntl - Set MUMPS parameter ICNTL()
1785 
1786    Logically Collective on Mat
1787 
1788    Input Parameters:
1789 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
1790 .  icntl - index of MUMPS parameter array ICNTL()
1791 -  ival - value of MUMPS ICNTL(icntl)
1792 
1793   Options Database:
1794 .   -mat_mumps_icntl_<icntl> <ival>
1795 
1796    Level: beginner
1797 
1798    References:
1799 .     MUMPS Users' Guide
1800 
1801 .seealso: MatGetFactor(), MatMumpsSetICntl(), MatMumpsGetIcntl(), MatMumpsSetCntl(), MatMumpsGetCntl(), MatMumpsGetInfo(), MatMumpsGetInfog(), MatMumpsGetRinfo(), MatMumpsGetRinfog()
1802  @*/
1803 PetscErrorCode MatMumpsSetIcntl(Mat F,PetscInt icntl,PetscInt ival)
1804 {
1805   PetscErrorCode ierr;
1806 
1807   PetscFunctionBegin;
1808   PetscValidType(F,1);
1809   if (!F->factortype) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ARG_WRONGSTATE,"Only for factored matrix");
1810   PetscValidLogicalCollectiveInt(F,icntl,2);
1811   PetscValidLogicalCollectiveInt(F,ival,3);
1812   ierr = PetscTryMethod(F,"MatMumpsSetIcntl_C",(Mat,PetscInt,PetscInt),(F,icntl,ival));CHKERRQ(ierr);
1813   PetscFunctionReturn(0);
1814 }
1815 
1816 /*@
1817   MatMumpsGetIcntl - Get MUMPS parameter ICNTL()
1818 
1819    Logically Collective on Mat
1820 
1821    Input Parameters:
1822 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
1823 -  icntl - index of MUMPS parameter array ICNTL()
1824 
1825   Output Parameter:
1826 .  ival - value of MUMPS ICNTL(icntl)
1827 
1828    Level: beginner
1829 
1830    References:
1831 .     MUMPS Users' Guide
1832 
1833 .seealso: MatGetFactor(), MatMumpsSetICntl(), MatMumpsGetIcntl(), MatMumpsSetCntl(), MatMumpsGetCntl(), MatMumpsGetInfo(), MatMumpsGetInfog(), MatMumpsGetRinfo(), MatMumpsGetRinfog()
1834 @*/
1835 PetscErrorCode MatMumpsGetIcntl(Mat F,PetscInt icntl,PetscInt *ival)
1836 {
1837   PetscErrorCode ierr;
1838 
1839   PetscFunctionBegin;
1840   PetscValidType(F,1);
1841   if (!F->factortype) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ARG_WRONGSTATE,"Only for factored matrix");
1842   PetscValidLogicalCollectiveInt(F,icntl,2);
1843   PetscValidIntPointer(ival,3);
1844   ierr = PetscUseMethod(F,"MatMumpsGetIcntl_C",(Mat,PetscInt,PetscInt*),(F,icntl,ival));CHKERRQ(ierr);
1845   PetscFunctionReturn(0);
1846 }
1847 
1848 /* -------------------------------------------------------------------------------------------*/
1849 PetscErrorCode MatMumpsSetCntl_MUMPS(Mat F,PetscInt icntl,PetscReal val)
1850 {
1851   Mat_MUMPS *mumps =(Mat_MUMPS*)F->data;
1852 
1853   PetscFunctionBegin;
1854   mumps->id.CNTL(icntl) = val;
1855   PetscFunctionReturn(0);
1856 }
1857 
1858 PetscErrorCode MatMumpsGetCntl_MUMPS(Mat F,PetscInt icntl,PetscReal *val)
1859 {
1860   Mat_MUMPS *mumps =(Mat_MUMPS*)F->data;
1861 
1862   PetscFunctionBegin;
1863   *val = mumps->id.CNTL(icntl);
1864   PetscFunctionReturn(0);
1865 }
1866 
1867 /*@
1868   MatMumpsSetCntl - Set MUMPS parameter CNTL()
1869 
1870    Logically Collective on Mat
1871 
1872    Input Parameters:
1873 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
1874 .  icntl - index of MUMPS parameter array CNTL()
1875 -  val - value of MUMPS CNTL(icntl)
1876 
1877   Options Database:
1878 .   -mat_mumps_cntl_<icntl> <val>
1879 
1880    Level: beginner
1881 
1882    References:
1883 .     MUMPS Users' Guide
1884 
1885 .seealso: MatGetFactor(), MatMumpsSetICntl(), MatMumpsGetIcntl(), MatMumpsSetCntl(), MatMumpsGetCntl(), MatMumpsGetInfo(), MatMumpsGetInfog(), MatMumpsGetRinfo(), MatMumpsGetRinfog()
1886 @*/
1887 PetscErrorCode MatMumpsSetCntl(Mat F,PetscInt icntl,PetscReal val)
1888 {
1889   PetscErrorCode ierr;
1890 
1891   PetscFunctionBegin;
1892   PetscValidType(F,1);
1893   if (!F->factortype) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ARG_WRONGSTATE,"Only for factored matrix");
1894   PetscValidLogicalCollectiveInt(F,icntl,2);
1895   PetscValidLogicalCollectiveReal(F,val,3);
1896   ierr = PetscTryMethod(F,"MatMumpsSetCntl_C",(Mat,PetscInt,PetscReal),(F,icntl,val));CHKERRQ(ierr);
1897   PetscFunctionReturn(0);
1898 }
1899 
1900 /*@
1901   MatMumpsGetCntl - Get MUMPS parameter CNTL()
1902 
1903    Logically Collective on Mat
1904 
1905    Input Parameters:
1906 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
1907 -  icntl - index of MUMPS parameter array CNTL()
1908 
1909   Output Parameter:
1910 .  val - value of MUMPS CNTL(icntl)
1911 
1912    Level: beginner
1913 
1914    References:
1915 .      MUMPS Users' Guide
1916 
1917 .seealso: MatGetFactor(), MatMumpsSetICntl(), MatMumpsGetIcntl(), MatMumpsSetCntl(), MatMumpsGetCntl(), MatMumpsGetInfo(), MatMumpsGetInfog(), MatMumpsGetRinfo(), MatMumpsGetRinfog()
1918 @*/
1919 PetscErrorCode MatMumpsGetCntl(Mat F,PetscInt icntl,PetscReal *val)
1920 {
1921   PetscErrorCode ierr;
1922 
1923   PetscFunctionBegin;
1924   PetscValidType(F,1);
1925   if (!F->factortype) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ARG_WRONGSTATE,"Only for factored matrix");
1926   PetscValidLogicalCollectiveInt(F,icntl,2);
1927   PetscValidRealPointer(val,3);
1928   ierr = PetscUseMethod(F,"MatMumpsGetCntl_C",(Mat,PetscInt,PetscReal*),(F,icntl,val));CHKERRQ(ierr);
1929   PetscFunctionReturn(0);
1930 }
1931 
1932 PetscErrorCode MatMumpsGetInfo_MUMPS(Mat F,PetscInt icntl,PetscInt *info)
1933 {
1934   Mat_MUMPS *mumps =(Mat_MUMPS*)F->data;
1935 
1936   PetscFunctionBegin;
1937   *info = mumps->id.INFO(icntl);
1938   PetscFunctionReturn(0);
1939 }
1940 
1941 PetscErrorCode MatMumpsGetInfog_MUMPS(Mat F,PetscInt icntl,PetscInt *infog)
1942 {
1943   Mat_MUMPS *mumps =(Mat_MUMPS*)F->data;
1944 
1945   PetscFunctionBegin;
1946   *infog = mumps->id.INFOG(icntl);
1947   PetscFunctionReturn(0);
1948 }
1949 
1950 PetscErrorCode MatMumpsGetRinfo_MUMPS(Mat F,PetscInt icntl,PetscReal *rinfo)
1951 {
1952   Mat_MUMPS *mumps =(Mat_MUMPS*)F->data;
1953 
1954   PetscFunctionBegin;
1955   *rinfo = mumps->id.RINFO(icntl);
1956   PetscFunctionReturn(0);
1957 }
1958 
1959 PetscErrorCode MatMumpsGetRinfog_MUMPS(Mat F,PetscInt icntl,PetscReal *rinfog)
1960 {
1961   Mat_MUMPS *mumps =(Mat_MUMPS*)F->data;
1962 
1963   PetscFunctionBegin;
1964   *rinfog = mumps->id.RINFOG(icntl);
1965   PetscFunctionReturn(0);
1966 }
1967 
1968 PetscErrorCode MatMumpsGetMatInverse_MUMPS(Mat F,Mat spRHS)
1969 {
1970   PetscErrorCode ierr;
1971   Mat            Bt = NULL;
1972   PetscBool      flgT;
1973   Mat_MUMPS      *mumps =(Mat_MUMPS*)F->data;
1974   PetscBool      done;
1975   PetscScalar    *aa;
1976   PetscInt       spnr,*ia,*ja;
1977 
1978   PetscFunctionBegin;
1979   if (mumps->size > 1) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_SUP,"No support for parallel runs yet");
1980   ierr = PetscObjectTypeCompare((PetscObject)spRHS,MATTRANSPOSEMAT,&flgT);CHKERRQ(ierr);
1981   if (flgT) {
1982     ierr = MatTransposeGetMat(spRHS,&Bt);CHKERRQ(ierr);
1983   } else {
1984     SETERRQ(PetscObjectComm((PetscObject)spRHS),PETSC_ERR_ARG_WRONG,"Matrix spRHS must be type MATTRANSPOSEMAT matrix");
1985   }
1986 
1987   ierr = MatMumpsSetIcntl(F,30,1);CHKERRQ(ierr);
1988 
1989   ierr = MatSeqAIJGetArray(Bt,&aa);CHKERRQ(ierr);
1990   ierr = MatGetRowIJ(Bt,1,PETSC_FALSE,PETSC_FALSE,&spnr,(const PetscInt**)&ia,(const PetscInt**)&ja,&done);CHKERRQ(ierr);
1991   if (!done) SETERRQ(PetscObjectComm((PetscObject)Bt),PETSC_ERR_ARG_WRONG,"Cannot get IJ structure");
1992 
1993   mumps->id.irhs_ptr    = ia;
1994   mumps->id.irhs_sparse = ja;
1995   mumps->id.nz_rhs      = ia[spnr] - 1;
1996   mumps->id.rhs_sparse  = (MumpsScalar*)aa;
1997   mumps->id.ICNTL(20)   = 1; /* rhs is sparse */
1998 
1999   /* solve phase */
2000   /*-------------*/
2001   mumps->id.job = JOB_SOLVE;
2002   PetscMUMPS_c(&mumps->id);
2003   if (mumps->id.INFOG(1) < 0) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error reported by MUMPS in solve phase: INFOG(1)=%d INFOG(2)=%d\n",mumps->id.INFOG(1),mumps->id.INFOG(2));
2004   PetscFunctionReturn(0);
2005 }
2006 
2007 /*@
2008   MatMumpsGetMatInverse - Get user-specified set of entries in inverse of A
2009 
2010    Logically Collective on Mat
2011 
2012    Input Parameters:
2013 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
2014 -  spRHS - sequential sparse matrix in MATTRANSPOSEMAT format holding specified indices
2015 
2016   Output Parameter:
2017 .   - spRHS - requested entries of inverse of A
2018 
2019    Level: beginner
2020 
2021    References:
2022 .      MUMPS Users' Guide
2023 
2024 .seealso: MatGetFactor(), MatCreateTranspose()
2025 @*/
2026 PetscErrorCode MatMumpsGetMatInverse(Mat F,Mat spRHS)
2027 {
2028   PetscErrorCode ierr;
2029 
2030   PetscFunctionBegin;
2031   PetscValidType(F,1);
2032   if (!F->factortype) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ARG_WRONGSTATE,"Only for factored matrix");
2033   PetscValidIntPointer(spRHS,2);
2034   ierr = PetscUseMethod(F,"MatMumpsGetMatInverse_C",(Mat,Mat),(F,spRHS));CHKERRQ(ierr);
2035   PetscFunctionReturn(0);
2036 }
2037 
2038 /*@
2039   MatMumpsGetInfo - Get MUMPS parameter INFO()
2040 
2041    Logically Collective on Mat
2042 
2043    Input Parameters:
2044 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
2045 -  icntl - index of MUMPS parameter array INFO()
2046 
2047   Output Parameter:
2048 .  ival - value of MUMPS INFO(icntl)
2049 
2050    Level: beginner
2051 
2052    References:
2053 .      MUMPS Users' Guide
2054 
2055 .seealso: MatGetFactor(), MatMumpsSetICntl(), MatMumpsGetIcntl(), MatMumpsSetCntl(), MatMumpsGetCntl(), MatMumpsGetInfo(), MatMumpsGetInfog(), MatMumpsGetRinfo(), MatMumpsGetRinfog()
2056 @*/
2057 PetscErrorCode MatMumpsGetInfo(Mat F,PetscInt icntl,PetscInt *ival)
2058 {
2059   PetscErrorCode ierr;
2060 
2061   PetscFunctionBegin;
2062   PetscValidType(F,1);
2063   if (!F->factortype) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ARG_WRONGSTATE,"Only for factored matrix");
2064   PetscValidIntPointer(ival,3);
2065   ierr = PetscUseMethod(F,"MatMumpsGetInfo_C",(Mat,PetscInt,PetscInt*),(F,icntl,ival));CHKERRQ(ierr);
2066   PetscFunctionReturn(0);
2067 }
2068 
2069 /*@
2070   MatMumpsGetInfog - Get MUMPS parameter INFOG()
2071 
2072    Logically Collective on Mat
2073 
2074    Input Parameters:
2075 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
2076 -  icntl - index of MUMPS parameter array INFOG()
2077 
2078   Output Parameter:
2079 .  ival - value of MUMPS INFOG(icntl)
2080 
2081    Level: beginner
2082 
2083    References:
2084 .      MUMPS Users' Guide
2085 
2086 .seealso: MatGetFactor(), MatMumpsSetICntl(), MatMumpsGetIcntl(), MatMumpsSetCntl(), MatMumpsGetCntl(), MatMumpsGetInfo(), MatMumpsGetInfog(), MatMumpsGetRinfo(), MatMumpsGetRinfog()
2087 @*/
2088 PetscErrorCode MatMumpsGetInfog(Mat F,PetscInt icntl,PetscInt *ival)
2089 {
2090   PetscErrorCode ierr;
2091 
2092   PetscFunctionBegin;
2093   PetscValidType(F,1);
2094   if (!F->factortype) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ARG_WRONGSTATE,"Only for factored matrix");
2095   PetscValidIntPointer(ival,3);
2096   ierr = PetscUseMethod(F,"MatMumpsGetInfog_C",(Mat,PetscInt,PetscInt*),(F,icntl,ival));CHKERRQ(ierr);
2097   PetscFunctionReturn(0);
2098 }
2099 
2100 /*@
2101   MatMumpsGetRinfo - Get MUMPS parameter RINFO()
2102 
2103    Logically Collective on Mat
2104 
2105    Input Parameters:
2106 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
2107 -  icntl - index of MUMPS parameter array RINFO()
2108 
2109   Output Parameter:
2110 .  val - value of MUMPS RINFO(icntl)
2111 
2112    Level: beginner
2113 
2114    References:
2115 .       MUMPS Users' Guide
2116 
2117 .seealso: MatGetFactor(), MatMumpsSetICntl(), MatMumpsGetIcntl(), MatMumpsSetCntl(), MatMumpsGetCntl(), MatMumpsGetInfo(), MatMumpsGetInfog(), MatMumpsGetRinfo(), MatMumpsGetRinfog()
2118 @*/
2119 PetscErrorCode MatMumpsGetRinfo(Mat F,PetscInt icntl,PetscReal *val)
2120 {
2121   PetscErrorCode ierr;
2122 
2123   PetscFunctionBegin;
2124   PetscValidType(F,1);
2125   if (!F->factortype) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ARG_WRONGSTATE,"Only for factored matrix");
2126   PetscValidRealPointer(val,3);
2127   ierr = PetscUseMethod(F,"MatMumpsGetRinfo_C",(Mat,PetscInt,PetscReal*),(F,icntl,val));CHKERRQ(ierr);
2128   PetscFunctionReturn(0);
2129 }
2130 
2131 /*@
2132   MatMumpsGetRinfog - Get MUMPS parameter RINFOG()
2133 
2134    Logically Collective on Mat
2135 
2136    Input Parameters:
2137 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
2138 -  icntl - index of MUMPS parameter array RINFOG()
2139 
2140   Output Parameter:
2141 .  val - value of MUMPS RINFOG(icntl)
2142 
2143    Level: beginner
2144 
2145    References:
2146 .      MUMPS Users' Guide
2147 
2148 .seealso: MatGetFactor(), MatMumpsSetICntl(), MatMumpsGetIcntl(), MatMumpsSetCntl(), MatMumpsGetCntl(), MatMumpsGetInfo(), MatMumpsGetInfog(), MatMumpsGetRinfo(), MatMumpsGetRinfog()
2149 @*/
2150 PetscErrorCode MatMumpsGetRinfog(Mat F,PetscInt icntl,PetscReal *val)
2151 {
2152   PetscErrorCode ierr;
2153 
2154   PetscFunctionBegin;
2155   PetscValidType(F,1);
2156   if (!F->factortype) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ARG_WRONGSTATE,"Only for factored matrix");
2157   PetscValidRealPointer(val,3);
2158   ierr = PetscUseMethod(F,"MatMumpsGetRinfog_C",(Mat,PetscInt,PetscReal*),(F,icntl,val));CHKERRQ(ierr);
2159   PetscFunctionReturn(0);
2160 }
2161 
2162 /*MC
2163   MATSOLVERMUMPS -  A matrix type providing direct solvers (LU and Cholesky) for
2164   distributed and sequential matrices via the external package MUMPS.
2165 
2166   Works with MATAIJ and MATSBAIJ matrices
2167 
2168   Use ./configure --download-mumps --download-scalapack --download-parmetis --download-metis --download-ptscotch  to have PETSc installed with MUMPS
2169 
2170   Use -pc_type cholesky or lu -pc_factor_mat_solver_type mumps to use this direct solver
2171 
2172   Options Database Keys:
2173 +  -mat_mumps_icntl_1 - ICNTL(1): output stream for error messages
2174 .  -mat_mumps_icntl_2 - ICNTL(2): output stream for diagnostic printing, statistics, and warning
2175 .  -mat_mumps_icntl_3 -  ICNTL(3): output stream for global information, collected on the host
2176 .  -mat_mumps_icntl_4 -  ICNTL(4): level of printing (0 to 4)
2177 .  -mat_mumps_icntl_6 - ICNTL(6): permutes to a zero-free diagonal and/or scale the matrix (0 to 7)
2178 .  -mat_mumps_icntl_7 - ICNTL(7): computes a symmetric permutation in sequential analysis (0 to 7). 3=Scotch, 4=PORD, 5=Metis
2179 .  -mat_mumps_icntl_8  - ICNTL(8): scaling strategy (-2 to 8 or 77)
2180 .  -mat_mumps_icntl_10  - ICNTL(10): max num of refinements
2181 .  -mat_mumps_icntl_11  - ICNTL(11): statistics related to an error analysis (via -ksp_view)
2182 .  -mat_mumps_icntl_12  - ICNTL(12): an ordering strategy for symmetric matrices (0 to 3)
2183 .  -mat_mumps_icntl_13  - ICNTL(13): parallelism of the root node (enable ScaLAPACK) and its splitting
2184 .  -mat_mumps_icntl_14  - ICNTL(14): percentage increase in the estimated working space
2185 .  -mat_mumps_icntl_19  - ICNTL(19): computes the Schur complement
2186 .  -mat_mumps_icntl_22  - ICNTL(22): in-core/out-of-core factorization and solve (0 or 1)
2187 .  -mat_mumps_icntl_23  - ICNTL(23): max size of the working memory (MB) that can allocate per processor
2188 .  -mat_mumps_icntl_24  - ICNTL(24): detection of null pivot rows (0 or 1)
2189 .  -mat_mumps_icntl_25  - ICNTL(25): compute a solution of a deficient matrix and a null space basis
2190 .  -mat_mumps_icntl_26  - ICNTL(26): drives the solution phase if a Schur complement matrix
2191 .  -mat_mumps_icntl_28  - ICNTL(28): use 1 for sequential analysis and ictnl(7) ordering, or 2 for parallel analysis and ictnl(29) ordering
2192 .  -mat_mumps_icntl_29 - ICNTL(29): parallel ordering 1 = ptscotch, 2 = parmetis
2193 .  -mat_mumps_icntl_30 - ICNTL(30): compute user-specified set of entries in inv(A)
2194 .  -mat_mumps_icntl_31 - ICNTL(31): indicates which factors may be discarded during factorization
2195 .  -mat_mumps_icntl_33 - ICNTL(33): compute determinant
2196 .  -mat_mumps_cntl_1  - CNTL(1): relative pivoting threshold
2197 .  -mat_mumps_cntl_2  -  CNTL(2): stopping criterion of refinement
2198 .  -mat_mumps_cntl_3 - CNTL(3): absolute pivoting threshold
2199 .  -mat_mumps_cntl_4 - CNTL(4): value for static pivoting
2200 -  -mat_mumps_cntl_5 - CNTL(5): fixation for null pivots
2201 
2202   Level: beginner
2203 
2204     Notes: When a MUMPS factorization fails inside a KSP solve, for example with a KSP_DIVERGED_PCSETUP_FAILED, one can find the MUMPS information about the failure by calling
2205 $          KSPGetPC(ksp,&pc);
2206 $          PCFactorGetMatrix(pc,&mat);
2207 $          MatMumpsGetInfo(mat,....);
2208 $          MatMumpsGetInfog(mat,....); etc.
2209            Or you can run with -ksp_error_if_not_converged and the program will be stopped and the information printed in the error message.
2210 
2211 .seealso: PCFactorSetMatSolverType(), MatSolverType, MatMumpsSetICntl(), MatMumpsGetIcntl(), MatMumpsSetCntl(), MatMumpsGetCntl(), MatMumpsGetInfo(), MatMumpsGetInfog(), MatMumpsGetRinfo(), MatMumpsGetRinfog(), KSPGetPC(), PCGetFactor(), PCFactorGetMatrix()
2212 
2213 M*/
2214 
2215 static PetscErrorCode MatFactorGetSolverType_mumps(Mat A,MatSolverType *type)
2216 {
2217   PetscFunctionBegin;
2218   *type = MATSOLVERMUMPS;
2219   PetscFunctionReturn(0);
2220 }
2221 
2222 /* MatGetFactor for Seq and MPI AIJ matrices */
2223 static PetscErrorCode MatGetFactor_aij_mumps(Mat A,MatFactorType ftype,Mat *F)
2224 {
2225   Mat            B;
2226   PetscErrorCode ierr;
2227   Mat_MUMPS      *mumps;
2228   PetscBool      isSeqAIJ;
2229 
2230   PetscFunctionBegin;
2231   /* Create the factorization matrix */
2232   ierr = PetscObjectTypeCompare((PetscObject)A,MATSEQAIJ,&isSeqAIJ);CHKERRQ(ierr);
2233   ierr = MatCreate(PetscObjectComm((PetscObject)A),&B);CHKERRQ(ierr);
2234   ierr = MatSetSizes(B,A->rmap->n,A->cmap->n,A->rmap->N,A->cmap->N);CHKERRQ(ierr);
2235   ierr = PetscStrallocpy("mumps",&((PetscObject)B)->type_name);CHKERRQ(ierr);
2236   ierr = MatSetUp(B);CHKERRQ(ierr);
2237 
2238   ierr = PetscNewLog(B,&mumps);CHKERRQ(ierr);
2239 
2240   B->ops->view        = MatView_MUMPS;
2241   B->ops->getinfo     = MatGetInfo_MUMPS;
2242 
2243   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorGetSolverType_C",MatFactorGetSolverType_mumps);CHKERRQ(ierr);
2244   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSetSchurIS_C",MatFactorSetSchurIS_MUMPS);CHKERRQ(ierr);
2245   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorCreateSchurComplement_C",MatFactorCreateSchurComplement_MUMPS);CHKERRQ(ierr);
2246   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsSetIcntl_C",MatMumpsSetIcntl_MUMPS);CHKERRQ(ierr);
2247   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetIcntl_C",MatMumpsGetIcntl_MUMPS);CHKERRQ(ierr);
2248   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsSetCntl_C",MatMumpsSetCntl_MUMPS);CHKERRQ(ierr);
2249   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetCntl_C",MatMumpsGetCntl_MUMPS);CHKERRQ(ierr);
2250   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetInfo_C",MatMumpsGetInfo_MUMPS);CHKERRQ(ierr);
2251   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetInfog_C",MatMumpsGetInfog_MUMPS);CHKERRQ(ierr);
2252   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetRinfo_C",MatMumpsGetRinfo_MUMPS);CHKERRQ(ierr);
2253   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetRinfog_C",MatMumpsGetRinfog_MUMPS);CHKERRQ(ierr);
2254   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetMatInverse_C",MatMumpsGetMatInverse_MUMPS);CHKERRQ(ierr);
2255 
2256   if (ftype == MAT_FACTOR_LU) {
2257     B->ops->lufactorsymbolic = MatLUFactorSymbolic_AIJMUMPS;
2258     B->factortype            = MAT_FACTOR_LU;
2259     if (isSeqAIJ) mumps->ConvertToTriples = MatConvertToTriples_seqaij_seqaij;
2260     else mumps->ConvertToTriples = MatConvertToTriples_mpiaij_mpiaij;
2261     mumps->sym = 0;
2262   } else {
2263     B->ops->choleskyfactorsymbolic = MatCholeskyFactorSymbolic_MUMPS;
2264     B->factortype                  = MAT_FACTOR_CHOLESKY;
2265     if (isSeqAIJ) mumps->ConvertToTriples = MatConvertToTriples_seqaij_seqsbaij;
2266     else mumps->ConvertToTriples = MatConvertToTriples_mpiaij_mpisbaij;
2267 #if defined(PETSC_USE_COMPLEX)
2268     mumps->sym = 2;
2269 #else
2270     if (A->spd_set && A->spd) mumps->sym = 1;
2271     else                      mumps->sym = 2;
2272 #endif
2273   }
2274 
2275   /* set solvertype */
2276   ierr = PetscFree(B->solvertype);CHKERRQ(ierr);
2277   ierr = PetscStrallocpy(MATSOLVERMUMPS,&B->solvertype);CHKERRQ(ierr);
2278 
2279   mumps->isAIJ    = PETSC_TRUE;
2280   B->ops->destroy = MatDestroy_MUMPS;
2281   B->data        = (void*)mumps;
2282 
2283   ierr = PetscInitializeMUMPS(A,mumps);CHKERRQ(ierr);
2284 
2285   *F = B;
2286   PetscFunctionReturn(0);
2287 }
2288 
2289 /* MatGetFactor for Seq and MPI SBAIJ matrices */
2290 static PetscErrorCode MatGetFactor_sbaij_mumps(Mat A,MatFactorType ftype,Mat *F)
2291 {
2292   Mat            B;
2293   PetscErrorCode ierr;
2294   Mat_MUMPS      *mumps;
2295   PetscBool      isSeqSBAIJ;
2296 
2297   PetscFunctionBegin;
2298   if (ftype != MAT_FACTOR_CHOLESKY) SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_SUP,"Cannot use PETSc SBAIJ matrices with MUMPS LU, use AIJ matrix");
2299   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");
2300   ierr = PetscObjectTypeCompare((PetscObject)A,MATSEQSBAIJ,&isSeqSBAIJ);CHKERRQ(ierr);
2301   /* Create the factorization matrix */
2302   ierr = MatCreate(PetscObjectComm((PetscObject)A),&B);CHKERRQ(ierr);
2303   ierr = MatSetSizes(B,A->rmap->n,A->cmap->n,A->rmap->N,A->cmap->N);CHKERRQ(ierr);
2304   ierr = PetscStrallocpy("mumps",&((PetscObject)B)->type_name);CHKERRQ(ierr);
2305   ierr = MatSetUp(B);CHKERRQ(ierr);
2306 
2307   ierr = PetscNewLog(B,&mumps);CHKERRQ(ierr);
2308   if (isSeqSBAIJ) {
2309     mumps->ConvertToTriples = MatConvertToTriples_seqsbaij_seqsbaij;
2310   } else {
2311     mumps->ConvertToTriples = MatConvertToTriples_mpisbaij_mpisbaij;
2312   }
2313 
2314   B->ops->getinfo                = MatGetInfo_External;
2315   B->ops->choleskyfactorsymbolic = MatCholeskyFactorSymbolic_MUMPS;
2316   B->ops->view                   = MatView_MUMPS;
2317 
2318   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorGetSolverType_C",MatFactorGetSolverType_mumps);CHKERRQ(ierr);
2319   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSetSchurIS_C",MatFactorSetSchurIS_MUMPS);CHKERRQ(ierr);
2320   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorCreateSchurComplement_C",MatFactorCreateSchurComplement_MUMPS);CHKERRQ(ierr);
2321   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsSetIcntl_C",MatMumpsSetIcntl_MUMPS);CHKERRQ(ierr);
2322   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetIcntl_C",MatMumpsGetIcntl_MUMPS);CHKERRQ(ierr);
2323   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsSetCntl_C",MatMumpsSetCntl_MUMPS);CHKERRQ(ierr);
2324   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetCntl_C",MatMumpsGetCntl_MUMPS);CHKERRQ(ierr);
2325   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetInfo_C",MatMumpsGetInfo_MUMPS);CHKERRQ(ierr);
2326   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetInfog_C",MatMumpsGetInfog_MUMPS);CHKERRQ(ierr);
2327   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetRinfo_C",MatMumpsGetRinfo_MUMPS);CHKERRQ(ierr);
2328   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetRinfog_C",MatMumpsGetRinfog_MUMPS);CHKERRQ(ierr);
2329   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetMatInverse_C",MatMumpsGetMatInverse_MUMPS);CHKERRQ(ierr);
2330 
2331   B->factortype = MAT_FACTOR_CHOLESKY;
2332 #if defined(PETSC_USE_COMPLEX)
2333   mumps->sym = 2;
2334 #else
2335   if (A->spd_set && A->spd) mumps->sym = 1;
2336   else                      mumps->sym = 2;
2337 #endif
2338 
2339   /* set solvertype */
2340   ierr = PetscFree(B->solvertype);CHKERRQ(ierr);
2341   ierr = PetscStrallocpy(MATSOLVERMUMPS,&B->solvertype);CHKERRQ(ierr);
2342 
2343   mumps->isAIJ    = PETSC_FALSE;
2344   B->ops->destroy = MatDestroy_MUMPS;
2345   B->data        = (void*)mumps;
2346 
2347   ierr = PetscInitializeMUMPS(A,mumps);CHKERRQ(ierr);
2348 
2349   *F = B;
2350   PetscFunctionReturn(0);
2351 }
2352 
2353 static PetscErrorCode MatGetFactor_baij_mumps(Mat A,MatFactorType ftype,Mat *F)
2354 {
2355   Mat            B;
2356   PetscErrorCode ierr;
2357   Mat_MUMPS      *mumps;
2358   PetscBool      isSeqBAIJ;
2359 
2360   PetscFunctionBegin;
2361   /* Create the factorization matrix */
2362   ierr = PetscObjectTypeCompare((PetscObject)A,MATSEQBAIJ,&isSeqBAIJ);CHKERRQ(ierr);
2363   ierr = MatCreate(PetscObjectComm((PetscObject)A),&B);CHKERRQ(ierr);
2364   ierr = MatSetSizes(B,A->rmap->n,A->cmap->n,A->rmap->N,A->cmap->N);CHKERRQ(ierr);
2365   ierr = PetscStrallocpy("mumps",&((PetscObject)B)->type_name);CHKERRQ(ierr);
2366   ierr = MatSetUp(B);CHKERRQ(ierr);
2367 
2368   ierr = PetscNewLog(B,&mumps);CHKERRQ(ierr);
2369   if (ftype == MAT_FACTOR_LU) {
2370     B->ops->lufactorsymbolic = MatLUFactorSymbolic_BAIJMUMPS;
2371     B->factortype            = MAT_FACTOR_LU;
2372     if (isSeqBAIJ) mumps->ConvertToTriples = MatConvertToTriples_seqbaij_seqaij;
2373     else mumps->ConvertToTriples = MatConvertToTriples_mpibaij_mpiaij;
2374     mumps->sym = 0;
2375   } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Cannot use PETSc BAIJ matrices with MUMPS Cholesky, use SBAIJ or AIJ matrix instead\n");
2376 
2377   B->ops->getinfo     = MatGetInfo_External;
2378   B->ops->view        = MatView_MUMPS;
2379 
2380   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorGetSolverType_C",MatFactorGetSolverType_mumps);CHKERRQ(ierr);
2381   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSetSchurIS_C",MatFactorSetSchurIS_MUMPS);CHKERRQ(ierr);
2382   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorCreateSchurComplement_C",MatFactorCreateSchurComplement_MUMPS);CHKERRQ(ierr);
2383   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsSetIcntl_C",MatMumpsSetIcntl_MUMPS);CHKERRQ(ierr);
2384   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetIcntl_C",MatMumpsGetIcntl_MUMPS);CHKERRQ(ierr);
2385   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsSetCntl_C",MatMumpsSetCntl_MUMPS);CHKERRQ(ierr);
2386   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetCntl_C",MatMumpsGetCntl_MUMPS);CHKERRQ(ierr);
2387   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetInfo_C",MatMumpsGetInfo_MUMPS);CHKERRQ(ierr);
2388   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetInfog_C",MatMumpsGetInfog_MUMPS);CHKERRQ(ierr);
2389   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetRinfo_C",MatMumpsGetRinfo_MUMPS);CHKERRQ(ierr);
2390   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetRinfog_C",MatMumpsGetRinfog_MUMPS);CHKERRQ(ierr);
2391   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetMatInverse_C",MatMumpsGetMatInverse_MUMPS);CHKERRQ(ierr);
2392 
2393   /* set solvertype */
2394   ierr = PetscFree(B->solvertype);CHKERRQ(ierr);
2395   ierr = PetscStrallocpy(MATSOLVERMUMPS,&B->solvertype);CHKERRQ(ierr);
2396 
2397   mumps->isAIJ    = PETSC_TRUE;
2398   B->ops->destroy = MatDestroy_MUMPS;
2399   B->data        = (void*)mumps;
2400 
2401   ierr = PetscInitializeMUMPS(A,mumps);CHKERRQ(ierr);
2402 
2403   *F = B;
2404   PetscFunctionReturn(0);
2405 }
2406 
2407 PETSC_EXTERN PetscErrorCode MatSolverTypeRegister_MUMPS(void)
2408 {
2409   PetscErrorCode ierr;
2410 
2411   PetscFunctionBegin;
2412   ierr = MatSolverTypeRegister(MATSOLVERMUMPS,MATMPIAIJ,MAT_FACTOR_LU,MatGetFactor_aij_mumps);CHKERRQ(ierr);
2413   ierr = MatSolverTypeRegister(MATSOLVERMUMPS,MATMPIAIJ,MAT_FACTOR_CHOLESKY,MatGetFactor_aij_mumps);CHKERRQ(ierr);
2414   ierr = MatSolverTypeRegister(MATSOLVERMUMPS,MATMPIBAIJ,MAT_FACTOR_LU,MatGetFactor_baij_mumps);CHKERRQ(ierr);
2415   ierr = MatSolverTypeRegister(MATSOLVERMUMPS,MATMPIBAIJ,MAT_FACTOR_CHOLESKY,MatGetFactor_baij_mumps);CHKERRQ(ierr);
2416   ierr = MatSolverTypeRegister(MATSOLVERMUMPS,MATMPISBAIJ,MAT_FACTOR_CHOLESKY,MatGetFactor_sbaij_mumps);CHKERRQ(ierr);
2417   ierr = MatSolverTypeRegister(MATSOLVERMUMPS,MATSEQAIJ,MAT_FACTOR_LU,MatGetFactor_aij_mumps);CHKERRQ(ierr);
2418   ierr = MatSolverTypeRegister(MATSOLVERMUMPS,MATSEQAIJ,MAT_FACTOR_CHOLESKY,MatGetFactor_aij_mumps);CHKERRQ(ierr);
2419   ierr = MatSolverTypeRegister(MATSOLVERMUMPS,MATSEQBAIJ,MAT_FACTOR_LU,MatGetFactor_baij_mumps);CHKERRQ(ierr);
2420   ierr = MatSolverTypeRegister(MATSOLVERMUMPS,MATSEQBAIJ,MAT_FACTOR_CHOLESKY,MatGetFactor_baij_mumps);CHKERRQ(ierr);
2421   ierr = MatSolverTypeRegister(MATSOLVERMUMPS,MATSEQSBAIJ,MAT_FACTOR_CHOLESKY,MatGetFactor_sbaij_mumps);CHKERRQ(ierr);
2422   PetscFunctionReturn(0);
2423 }
2424 
2425