xref: /petsc/src/mat/impls/aij/mpi/mumps/mumps.c (revision 68f0caa67e2a15036f113eae346582c0146a1cbf)
1 
2 /*
3     Provides an interface to the MUMPS sparse solver
4 */
5 
6 #include <../src/mat/impls/aij/mpi/mpiaij.h> /*I  "petscmat.h"  I*/
7 #include <../src/mat/impls/sbaij/mpi/mpisbaij.h>
8 #include <petscblaslapack.h>
9 
10 EXTERN_C_BEGIN
11 #if defined(PETSC_USE_COMPLEX)
12 #if defined(PETSC_USE_REAL_SINGLE)
13 #include <cmumps_c.h>
14 #else
15 #include <zmumps_c.h>
16 #endif
17 #else
18 #if defined(PETSC_USE_REAL_SINGLE)
19 #include <smumps_c.h>
20 #else
21 #include <dmumps_c.h>
22 #endif
23 #endif
24 EXTERN_C_END
25 #define JOB_INIT -1
26 #define JOB_FACTSYMBOLIC 1
27 #define JOB_FACTNUMERIC 2
28 #define JOB_SOLVE 3
29 #define JOB_END -2
30 
31 /* calls to MUMPS */
32 #if defined(PETSC_USE_COMPLEX)
33 #if defined(PETSC_USE_REAL_SINGLE)
34 #define PetscMUMPS_c cmumps_c
35 #else
36 #define PetscMUMPS_c zmumps_c
37 #endif
38 #else
39 #if defined(PETSC_USE_REAL_SINGLE)
40 #define PetscMUMPS_c smumps_c
41 #else
42 #define PetscMUMPS_c dmumps_c
43 #endif
44 #endif
45 
46 /* declare MumpsScalar */
47 #if defined(PETSC_USE_COMPLEX)
48 #if defined(PETSC_USE_REAL_SINGLE)
49 #define MumpsScalar mumps_complex
50 #else
51 #define MumpsScalar mumps_double_complex
52 #endif
53 #else
54 #define MumpsScalar PetscScalar
55 #endif
56 
57 /* macros s.t. indices match MUMPS documentation */
58 #define ICNTL(I) icntl[(I)-1]
59 #define CNTL(I) cntl[(I)-1]
60 #define INFOG(I) infog[(I)-1]
61 #define INFO(I) info[(I)-1]
62 #define RINFOG(I) rinfog[(I)-1]
63 #define RINFO(I) rinfo[(I)-1]
64 
65 typedef struct {
66 #if defined(PETSC_USE_COMPLEX)
67 #if defined(PETSC_USE_REAL_SINGLE)
68   CMUMPS_STRUC_C id;
69 #else
70   ZMUMPS_STRUC_C id;
71 #endif
72 #else
73 #if defined(PETSC_USE_REAL_SINGLE)
74   SMUMPS_STRUC_C id;
75 #else
76   DMUMPS_STRUC_C id;
77 #endif
78 #endif
79 
80   MatStructure matstruc;
81   PetscMPIInt  myid,size;
82   PetscInt     *irn,*jcn,nz,sym;
83   PetscScalar  *val;
84   MPI_Comm     comm_mumps;
85   PetscBool    isAIJ;
86   PetscInt     ICNTL9_pre;           /* check if ICNTL(9) is changed from previous MatSolve */
87   VecScatter   scat_rhs, scat_sol;   /* used by MatSolve() */
88   Vec          b_seq,x_seq;
89   PetscInt     ninfo,*info;          /* display INFO */
90   PetscInt     sizeredrhs;
91   PetscInt     *schur_pivots;
92   PetscInt     schur_B_lwork;
93   PetscScalar  *schur_work;
94   PetscScalar  *schur_sol;
95   PetscInt     schur_sizesol;
96   PetscBool    schur_factored;
97   PetscBool    schur_inverted;
98 
99   PetscErrorCode (*ConvertToTriples)(Mat, int, MatReuse, int*, int**, int**, PetscScalar**);
100 } Mat_MUMPS;
101 
102 extern PetscErrorCode MatDuplicate_MUMPS(Mat,MatDuplicateOption,Mat*);
103 
104 #undef __FUNCT__
105 #define __FUNCT__ "MatMumpsResetSchur_Private"
106 static PetscErrorCode MatMumpsResetSchur_Private(Mat_MUMPS* mumps)
107 {
108   PetscErrorCode ierr;
109 
110   PetscFunctionBegin;
111   ierr = PetscFree2(mumps->id.listvar_schur,mumps->id.schur);CHKERRQ(ierr);
112   ierr = PetscFree(mumps->id.redrhs);CHKERRQ(ierr);
113   ierr = PetscFree(mumps->schur_sol);CHKERRQ(ierr);
114   ierr = PetscFree(mumps->schur_pivots);CHKERRQ(ierr);
115   ierr = PetscFree(mumps->schur_work);CHKERRQ(ierr);
116   mumps->id.size_schur = 0;
117   mumps->id.ICNTL(19) = 0;
118   PetscFunctionReturn(0);
119 }
120 
121 #undef __FUNCT__
122 #define __FUNCT__ "MatMumpsFactorSchur_Private"
123 static PetscErrorCode MatMumpsFactorSchur_Private(Mat_MUMPS* mumps)
124 {
125   PetscBLASInt   B_N,B_ierr,B_slda;
126   PetscErrorCode ierr;
127 
128   PetscFunctionBegin;
129   if (mumps->schur_factored) {
130     PetscFunctionReturn(0);
131   }
132   ierr = PetscBLASIntCast(mumps->id.size_schur,&B_N);CHKERRQ(ierr);
133   ierr = PetscBLASIntCast(mumps->id.schur_lld,&B_slda);CHKERRQ(ierr);
134   if (!mumps->sym) { /* MUMPS always return a full Schur matrix */
135     if (!mumps->schur_pivots) {
136       ierr = PetscMalloc1(B_N,&mumps->schur_pivots);CHKERRQ(ierr);
137     }
138     ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr);
139     PetscStackCallBLAS("LAPACKgetrf",LAPACKgetrf_(&B_N,&B_N,(PetscScalar*)mumps->id.schur,&B_slda,mumps->schur_pivots,&B_ierr));
140     ierr = PetscFPTrapPop();CHKERRQ(ierr);
141     if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in GETRF Lapack routine %d",(int)B_ierr);
142   } else { /* either full or lower-triangular (not packed) */
143     char ord[2];
144     if (mumps->id.ICNTL(19) == 2 || mumps->id.ICNTL(19) == 3) { /* lower triangular stored by columns or full matrix */
145       sprintf(ord,"L");
146     } else { /* ICNTL(19) == 1 lower triangular stored by rows */
147       sprintf(ord,"U");
148     }
149     if (mumps->id.sym == 2) {
150       if (!mumps->schur_pivots) {
151         PetscScalar  lwork;
152 
153         ierr = PetscMalloc1(B_N,&mumps->schur_pivots);CHKERRQ(ierr);
154         mumps->schur_B_lwork=-1;
155         ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr);
156         PetscStackCallBLAS("LAPACKsytrf",LAPACKsytrf_(ord,&B_N,(PetscScalar*)mumps->id.schur,&B_slda,mumps->schur_pivots,&lwork,&mumps->schur_B_lwork,&B_ierr));
157         ierr = PetscFPTrapPop();CHKERRQ(ierr);
158         if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in query to SYTRF Lapack routine %d",(int)B_ierr);
159         ierr = PetscBLASIntCast((PetscInt)PetscRealPart(lwork),&mumps->schur_B_lwork);CHKERRQ(ierr);
160         ierr = PetscMalloc1(mumps->schur_B_lwork,&mumps->schur_work);CHKERRQ(ierr);
161       }
162       ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr);
163       PetscStackCallBLAS("LAPACKsytrf",LAPACKsytrf_(ord,&B_N,(PetscScalar*)mumps->id.schur,&B_slda,mumps->schur_pivots,mumps->schur_work,&mumps->schur_B_lwork,&B_ierr));
164       ierr = PetscFPTrapPop();CHKERRQ(ierr);
165       if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in SYTRF Lapack routine %d",(int)B_ierr);
166     } else {
167       ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr);
168       PetscStackCallBLAS("LAPACKpotrf",LAPACKpotrf_(ord,&B_N,(PetscScalar*)mumps->id.schur,&B_slda,&B_ierr));
169       ierr = PetscFPTrapPop();CHKERRQ(ierr);
170       if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in POTRF Lapack routine %d",(int)B_ierr);
171     }
172   }
173   mumps->schur_factored = PETSC_TRUE;
174   PetscFunctionReturn(0);
175 }
176 
177 #undef __FUNCT__
178 #define __FUNCT__ "MatMumpsInvertSchur_Private"
179 static PetscErrorCode MatMumpsInvertSchur_Private(Mat_MUMPS* mumps)
180 {
181   PetscBLASInt   B_N,B_ierr,B_slda;
182   PetscErrorCode ierr;
183 
184   PetscFunctionBegin;
185   ierr = MatMumpsFactorSchur_Private(mumps);CHKERRQ(ierr);
186   ierr = PetscBLASIntCast(mumps->id.size_schur,&B_N);CHKERRQ(ierr);
187   ierr = PetscBLASIntCast(mumps->id.schur_lld,&B_slda);CHKERRQ(ierr);
188   if (!mumps->sym) { /* MUMPS always return a full Schur matrix */
189     if (!mumps->schur_work) {
190       PetscScalar lwork;
191 
192       mumps->schur_B_lwork = -1;
193       ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr);
194       PetscStackCallBLAS("LAPACKgetri",LAPACKgetri_(&B_N,(PetscScalar*)mumps->id.schur,&B_N,mumps->schur_pivots,&lwork,&mumps->schur_B_lwork,&B_ierr));
195       ierr = PetscFPTrapPop();CHKERRQ(ierr);
196       if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in query to GETRI Lapack routine %d",(int)B_ierr);
197       ierr = PetscBLASIntCast((PetscInt)PetscRealPart(lwork),&mumps->schur_B_lwork);CHKERRQ(ierr);
198       ierr = PetscMalloc1(mumps->schur_B_lwork,&mumps->schur_work);CHKERRQ(ierr);
199     }
200     ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr);
201     PetscStackCallBLAS("LAPACKgetri",LAPACKgetri_(&B_N,(PetscScalar*)mumps->id.schur,&B_N,mumps->schur_pivots,mumps->schur_work,&mumps->schur_B_lwork,&B_ierr));
202     ierr = PetscFPTrapPop();CHKERRQ(ierr);
203     if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in GETRI Lapack routine %d",(int)B_ierr);
204   } else { /* either full or lower-triangular (not packed) */
205     char ord[2];
206     if (mumps->id.ICNTL(19) == 2 || mumps->id.ICNTL(19) == 3) { /* lower triangular stored by columns or full matrix */
207       sprintf(ord,"L");
208     } else { /* ICNTL(19) == 1 lower triangular stored by rows */
209       sprintf(ord,"U");
210     }
211     if (mumps->id.sym == 2) {
212       ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr);
213       PetscStackCallBLAS("LAPACKsytri",LAPACKsytri_(ord,&B_N,(PetscScalar*)mumps->id.schur,&B_N,mumps->schur_pivots,mumps->schur_work,&B_ierr));
214       ierr = PetscFPTrapPop();CHKERRQ(ierr);
215       if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in SYTRI Lapack routine %d",(int)B_ierr);
216     } else {
217       ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr);
218       PetscStackCallBLAS("LAPACKpotri",LAPACKpotri_(ord,&B_N,(PetscScalar*)mumps->id.schur,&B_N,&B_ierr));
219       ierr = PetscFPTrapPop();CHKERRQ(ierr);
220       if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in POTRI Lapack routine %d",(int)B_ierr);
221     }
222   }
223   mumps->schur_inverted = PETSC_TRUE;
224   PetscFunctionReturn(0);
225 }
226 
227 #undef __FUNCT__
228 #define __FUNCT__ "MatMumpsSolveSchur_Private"
229 static PetscErrorCode MatMumpsSolveSchur_Private(Mat_MUMPS* mumps, PetscBool sol_in_redrhs)
230 {
231   PetscBLASInt   B_N,B_Nrhs,B_ierr,B_slda,B_rlda;
232   PetscScalar    one=1.,zero=0.;
233   PetscErrorCode ierr;
234 
235   PetscFunctionBegin;
236   ierr = MatMumpsFactorSchur_Private(mumps);CHKERRQ(ierr);
237   ierr = PetscBLASIntCast(mumps->id.size_schur,&B_N);CHKERRQ(ierr);
238   ierr = PetscBLASIntCast(mumps->id.schur_lld,&B_slda);CHKERRQ(ierr);
239   ierr = PetscBLASIntCast(mumps->id.nrhs,&B_Nrhs);CHKERRQ(ierr);
240   ierr = PetscBLASIntCast(mumps->id.lredrhs,&B_rlda);CHKERRQ(ierr);
241   if (mumps->schur_inverted) {
242     PetscInt sizesol = B_Nrhs*B_N;
243     if (!mumps->schur_sol || sizesol > mumps->schur_sizesol) {
244       ierr = PetscFree(mumps->schur_sol);CHKERRQ(ierr);
245       ierr = PetscMalloc1(sizesol,&mumps->schur_sol);CHKERRQ(ierr);
246       mumps->schur_sizesol = sizesol;
247     }
248     if (!mumps->sym) {
249       char type[2];
250       if (mumps->id.ICNTL(19) == 1) { /* stored by rows */
251         if (!mumps->id.ICNTL(9)) { /* transpose solve */
252           sprintf(type,"N");
253         } else {
254           sprintf(type,"T");
255         }
256       } else { /* stored by columns */
257         if (!mumps->id.ICNTL(9)) { /* transpose solve */
258           sprintf(type,"T");
259         } else {
260           sprintf(type,"N");
261         }
262       }
263       PetscStackCallBLAS("BLASgemm",BLASgemm_(type,"N",&B_N,&B_Nrhs,&B_N,&one,(PetscScalar*)mumps->id.schur,&B_slda,(PetscScalar*)mumps->id.redrhs,&B_rlda,&zero,mumps->schur_sol,&B_rlda));
264     } else {
265       char ord[2];
266       if (mumps->id.ICNTL(19) == 2 || mumps->id.ICNTL(19) == 3) { /* lower triangular stored by columns or full matrix */
267         sprintf(ord,"L");
268       } else { /* ICNTL(19) == 1 lower triangular stored by rows */
269         sprintf(ord,"U");
270       }
271       PetscStackCallBLAS("BLASsymm",BLASsymm_("L",ord,&B_N,&B_Nrhs,&one,(PetscScalar*)mumps->id.schur,&B_slda,(PetscScalar*)mumps->id.redrhs,&B_rlda,&zero,mumps->schur_sol,&B_rlda));
272     }
273     if (sol_in_redrhs) {
274       ierr = PetscMemcpy(mumps->id.redrhs,mumps->schur_sol,sizesol*sizeof(PetscScalar));CHKERRQ(ierr);
275     }
276   } else { /* Schur complement has not been inverted */
277     MumpsScalar *orhs=NULL;
278 
279     if (!sol_in_redrhs) {
280       PetscInt sizesol = B_Nrhs*B_N;
281       if (!mumps->schur_sol || sizesol > mumps->schur_sizesol) {
282         ierr = PetscFree(mumps->schur_sol);CHKERRQ(ierr);
283         ierr = PetscMalloc1(sizesol,&mumps->schur_sol);CHKERRQ(ierr);
284         mumps->schur_sizesol = sizesol;
285       }
286       orhs = mumps->id.redrhs;
287       ierr = PetscMemcpy(mumps->schur_sol,mumps->id.redrhs,sizesol*sizeof(PetscScalar));CHKERRQ(ierr);
288       mumps->id.redrhs = (MumpsScalar*)mumps->schur_sol;
289     }
290     if (!mumps->sym) { /* MUMPS always return a full Schur matrix */
291       char type[2];
292       if (mumps->id.ICNTL(19) == 1) { /* stored by rows */
293         if (!mumps->id.ICNTL(9)) { /* transpose solve */
294           sprintf(type,"N");
295         } else {
296           sprintf(type,"T");
297         }
298       } else { /* stored by columns */
299         if (!mumps->id.ICNTL(9)) { /* transpose solve */
300           sprintf(type,"T");
301         } else {
302           sprintf(type,"N");
303         }
304       }
305       ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr);
306       PetscStackCallBLAS("LAPACKgetrs",LAPACKgetrs_(type,&B_N,&B_Nrhs,(PetscScalar*)mumps->id.schur,&B_slda,mumps->schur_pivots,(PetscScalar*)mumps->id.redrhs,&B_rlda,&B_ierr));
307       ierr = PetscFPTrapPop();CHKERRQ(ierr);
308       if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in GETRS Lapack routine %d",(int)B_ierr);
309     } else { /* either full or lower-triangular (not packed) */
310       char ord[2];
311       if (mumps->id.ICNTL(19) == 2 || mumps->id.ICNTL(19) == 3) { /* lower triangular stored by columns or full matrix */
312         sprintf(ord,"L");
313       } else { /* ICNTL(19) == 1 lower triangular stored by rows */
314         sprintf(ord,"U");
315       }
316       if (mumps->id.sym == 2) {
317         ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr);
318         PetscStackCallBLAS("LAPACKsytrs",LAPACKsytrs_(ord,&B_N,&B_Nrhs,(PetscScalar*)mumps->id.schur,&B_slda,mumps->schur_pivots,(PetscScalar*)mumps->id.redrhs,&B_rlda,&B_ierr));
319         ierr = PetscFPTrapPop();CHKERRQ(ierr);
320         if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in SYTRS Lapack routine %d",(int)B_ierr);
321       } else {
322         ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr);
323         PetscStackCallBLAS("LAPACKpotrs",LAPACKpotrs_(ord,&B_N,&B_Nrhs,(PetscScalar*)mumps->id.schur,&B_slda,(PetscScalar*)mumps->id.redrhs,&B_rlda,&B_ierr));
324         ierr = PetscFPTrapPop();CHKERRQ(ierr);
325         if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in POTRS Lapack routine %d",(int)B_ierr);
326       }
327     }
328     if (!sol_in_redrhs) {
329       mumps->id.redrhs = orhs;
330     }
331   }
332   PetscFunctionReturn(0);
333 }
334 
335 #undef __FUNCT__
336 #define __FUNCT__ "MatMumpsHandleSchur_Private"
337 static PetscErrorCode MatMumpsHandleSchur_Private(Mat_MUMPS* mumps, PetscBool expansion)
338 {
339   PetscErrorCode ierr;
340 
341   PetscFunctionBegin;
342   if (!mumps->id.ICNTL(19)) { /* do nothing when Schur complement has not been computed */
343     PetscFunctionReturn(0);
344   }
345   if (!expansion) { /* prepare for the condensation step */
346     PetscInt sizeredrhs = mumps->id.nrhs*mumps->id.size_schur;
347     /* allocate MUMPS internal array to store reduced right-hand sides */
348     if (!mumps->id.redrhs || sizeredrhs > mumps->sizeredrhs) {
349       ierr = PetscFree(mumps->id.redrhs);CHKERRQ(ierr);
350       mumps->id.lredrhs = mumps->id.size_schur;
351       ierr = PetscMalloc1(mumps->id.nrhs*mumps->id.lredrhs,&mumps->id.redrhs);CHKERRQ(ierr);
352       mumps->sizeredrhs = mumps->id.nrhs*mumps->id.lredrhs;
353     }
354     mumps->id.ICNTL(26) = 1; /* condensation phase */
355   } else { /* prepare for the expansion step */
356     /* solve Schur complement (this has to be done by the MUMPS user, so basically us) */
357     ierr = MatMumpsSolveSchur_Private(mumps,PETSC_TRUE);CHKERRQ(ierr);
358     mumps->id.ICNTL(26) = 2; /* expansion phase */
359     PetscMUMPS_c(&mumps->id);
360     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));
361     /* restore defaults */
362     mumps->id.ICNTL(26) = -1;
363   }
364   PetscFunctionReturn(0);
365 }
366 
367 /*
368   MatConvertToTriples_A_B - convert Petsc matrix to triples: row[nz], col[nz], val[nz]
369 
370   input:
371     A       - matrix in aij,baij or sbaij (bs=1) format
372     shift   - 0: C style output triple; 1: Fortran style output triple.
373     reuse   - MAT_INITIAL_MATRIX: spaces are allocated and values are set for the triple
374               MAT_REUSE_MATRIX:   only the values in v array are updated
375   output:
376     nnz     - dim of r, c, and v (number of local nonzero entries of A)
377     r, c, v - row and col index, matrix values (matrix triples)
378 
379   The returned values r, c, and sometimes v are obtained in a single PetscMalloc(). Then in MatDestroy_MUMPS() it is
380   freed with PetscFree((mumps->irn);  This is not ideal code, the fact that v is ONLY sometimes part of mumps->irn means
381   that the PetscMalloc() cannot easily be replaced with a PetscMalloc3().
382 
383  */
384 
385 #undef __FUNCT__
386 #define __FUNCT__ "MatConvertToTriples_seqaij_seqaij"
387 PetscErrorCode MatConvertToTriples_seqaij_seqaij(Mat A,int shift,MatReuse reuse,int *nnz,int **r, int **c, PetscScalar **v)
388 {
389   const PetscInt *ai,*aj,*ajj,M=A->rmap->n;
390   PetscInt       nz,rnz,i,j;
391   PetscErrorCode ierr;
392   PetscInt       *row,*col;
393   Mat_SeqAIJ     *aa=(Mat_SeqAIJ*)A->data;
394 
395   PetscFunctionBegin;
396   *v=aa->a;
397   if (reuse == MAT_INITIAL_MATRIX) {
398     nz   = aa->nz;
399     ai   = aa->i;
400     aj   = aa->j;
401     *nnz = nz;
402     ierr = PetscMalloc1(2*nz, &row);CHKERRQ(ierr);
403     col  = row + nz;
404 
405     nz = 0;
406     for (i=0; i<M; i++) {
407       rnz = ai[i+1] - ai[i];
408       ajj = aj + ai[i];
409       for (j=0; j<rnz; j++) {
410         row[nz] = i+shift; col[nz++] = ajj[j] + shift;
411       }
412     }
413     *r = row; *c = col;
414   }
415   PetscFunctionReturn(0);
416 }
417 
418 #undef __FUNCT__
419 #define __FUNCT__ "MatConvertToTriples_seqbaij_seqaij"
420 PetscErrorCode MatConvertToTriples_seqbaij_seqaij(Mat A,int shift,MatReuse reuse,int *nnz,int **r, int **c, PetscScalar **v)
421 {
422   Mat_SeqBAIJ    *aa=(Mat_SeqBAIJ*)A->data;
423   const PetscInt *ai,*aj,*ajj,bs2 = aa->bs2;
424   PetscInt       bs,M,nz,idx=0,rnz,i,j,k,m;
425   PetscErrorCode ierr;
426   PetscInt       *row,*col;
427 
428   PetscFunctionBegin;
429   ierr = MatGetBlockSize(A,&bs);CHKERRQ(ierr);
430   M = A->rmap->N/bs;
431   *v = aa->a;
432   if (reuse == MAT_INITIAL_MATRIX) {
433     ai   = aa->i; aj = aa->j;
434     nz   = bs2*aa->nz;
435     *nnz = nz;
436     ierr = PetscMalloc1(2*nz, &row);CHKERRQ(ierr);
437     col  = row + nz;
438 
439     for (i=0; i<M; i++) {
440       ajj = aj + ai[i];
441       rnz = ai[i+1] - ai[i];
442       for (k=0; k<rnz; k++) {
443         for (j=0; j<bs; j++) {
444           for (m=0; m<bs; m++) {
445             row[idx]   = i*bs + m + shift;
446             col[idx++] = bs*(ajj[k]) + j + shift;
447           }
448         }
449       }
450     }
451     *r = row; *c = col;
452   }
453   PetscFunctionReturn(0);
454 }
455 
456 #undef __FUNCT__
457 #define __FUNCT__ "MatConvertToTriples_seqsbaij_seqsbaij"
458 PetscErrorCode MatConvertToTriples_seqsbaij_seqsbaij(Mat A,int shift,MatReuse reuse,int *nnz,int **r, int **c, PetscScalar **v)
459 {
460   const PetscInt *ai, *aj,*ajj,M=A->rmap->n;
461   PetscInt       nz,rnz,i,j;
462   PetscErrorCode ierr;
463   PetscInt       *row,*col;
464   Mat_SeqSBAIJ   *aa=(Mat_SeqSBAIJ*)A->data;
465 
466   PetscFunctionBegin;
467   *v = aa->a;
468   if (reuse == MAT_INITIAL_MATRIX) {
469     nz   = aa->nz;
470     ai   = aa->i;
471     aj   = aa->j;
472     *v   = aa->a;
473     *nnz = nz;
474     ierr = PetscMalloc1(2*nz, &row);CHKERRQ(ierr);
475     col  = row + nz;
476 
477     nz = 0;
478     for (i=0; i<M; i++) {
479       rnz = ai[i+1] - ai[i];
480       ajj = aj + ai[i];
481       for (j=0; j<rnz; j++) {
482         row[nz] = i+shift; col[nz++] = ajj[j] + shift;
483       }
484     }
485     *r = row; *c = col;
486   }
487   PetscFunctionReturn(0);
488 }
489 
490 #undef __FUNCT__
491 #define __FUNCT__ "MatConvertToTriples_seqaij_seqsbaij"
492 PetscErrorCode MatConvertToTriples_seqaij_seqsbaij(Mat A,int shift,MatReuse reuse,int *nnz,int **r, int **c, PetscScalar **v)
493 {
494   const PetscInt    *ai,*aj,*ajj,*adiag,M=A->rmap->n;
495   PetscInt          nz,rnz,i,j;
496   const PetscScalar *av,*v1;
497   PetscScalar       *val;
498   PetscErrorCode    ierr;
499   PetscInt          *row,*col;
500   Mat_SeqAIJ        *aa=(Mat_SeqAIJ*)A->data;
501 
502   PetscFunctionBegin;
503   ai   =aa->i; aj=aa->j;av=aa->a;
504   adiag=aa->diag;
505   if (reuse == MAT_INITIAL_MATRIX) {
506     /* count nz in the uppper triangular part of A */
507     nz = 0;
508     for (i=0; i<M; i++) nz += ai[i+1] - adiag[i];
509     *nnz = nz;
510 
511     ierr = PetscMalloc((2*nz*sizeof(PetscInt)+nz*sizeof(PetscScalar)), &row);CHKERRQ(ierr);
512     col  = row + nz;
513     val  = (PetscScalar*)(col + nz);
514 
515     nz = 0;
516     for (i=0; i<M; i++) {
517       rnz = ai[i+1] - adiag[i];
518       ajj = aj + adiag[i];
519       v1  = av + adiag[i];
520       for (j=0; j<rnz; j++) {
521         row[nz] = i+shift; col[nz] = ajj[j] + shift; val[nz++] = v1[j];
522       }
523     }
524     *r = row; *c = col; *v = val;
525   } else {
526     nz = 0; val = *v;
527     for (i=0; i <M; i++) {
528       rnz = ai[i+1] - adiag[i];
529       v1  = av + adiag[i];
530       for (j=0; j<rnz; j++) {
531         val[nz++] = v1[j];
532       }
533     }
534   }
535   PetscFunctionReturn(0);
536 }
537 
538 #undef __FUNCT__
539 #define __FUNCT__ "MatConvertToTriples_mpisbaij_mpisbaij"
540 PetscErrorCode MatConvertToTriples_mpisbaij_mpisbaij(Mat A,int shift,MatReuse reuse,int *nnz,int **r, int **c, PetscScalar **v)
541 {
542   const PetscInt    *ai, *aj, *bi, *bj,*garray,m=A->rmap->n,*ajj,*bjj;
543   PetscErrorCode    ierr;
544   PetscInt          rstart,nz,i,j,jj,irow,countA,countB;
545   PetscInt          *row,*col;
546   const PetscScalar *av, *bv,*v1,*v2;
547   PetscScalar       *val;
548   Mat_MPISBAIJ      *mat = (Mat_MPISBAIJ*)A->data;
549   Mat_SeqSBAIJ      *aa  = (Mat_SeqSBAIJ*)(mat->A)->data;
550   Mat_SeqBAIJ       *bb  = (Mat_SeqBAIJ*)(mat->B)->data;
551 
552   PetscFunctionBegin;
553   ai=aa->i; aj=aa->j; bi=bb->i; bj=bb->j; rstart= A->rmap->rstart;
554   av=aa->a; bv=bb->a;
555 
556   garray = mat->garray;
557 
558   if (reuse == MAT_INITIAL_MATRIX) {
559     nz   = aa->nz + bb->nz;
560     *nnz = nz;
561     ierr = PetscMalloc((2*nz*sizeof(PetscInt)+nz*sizeof(PetscScalar)), &row);CHKERRQ(ierr);
562     col  = row + nz;
563     val  = (PetscScalar*)(col + nz);
564 
565     *r = row; *c = col; *v = val;
566   } else {
567     row = *r; col = *c; val = *v;
568   }
569 
570   jj = 0; irow = rstart;
571   for (i=0; i<m; i++) {
572     ajj    = aj + ai[i];                 /* ptr to the beginning of this row */
573     countA = ai[i+1] - ai[i];
574     countB = bi[i+1] - bi[i];
575     bjj    = bj + bi[i];
576     v1     = av + ai[i];
577     v2     = bv + bi[i];
578 
579     /* A-part */
580     for (j=0; j<countA; j++) {
581       if (reuse == MAT_INITIAL_MATRIX) {
582         row[jj] = irow + shift; col[jj] = rstart + ajj[j] + shift;
583       }
584       val[jj++] = v1[j];
585     }
586 
587     /* B-part */
588     for (j=0; j < countB; j++) {
589       if (reuse == MAT_INITIAL_MATRIX) {
590         row[jj] = irow + shift; col[jj] = garray[bjj[j]] + shift;
591       }
592       val[jj++] = v2[j];
593     }
594     irow++;
595   }
596   PetscFunctionReturn(0);
597 }
598 
599 #undef __FUNCT__
600 #define __FUNCT__ "MatConvertToTriples_mpiaij_mpiaij"
601 PetscErrorCode MatConvertToTriples_mpiaij_mpiaij(Mat A,int shift,MatReuse reuse,int *nnz,int **r, int **c, PetscScalar **v)
602 {
603   const PetscInt    *ai, *aj, *bi, *bj,*garray,m=A->rmap->n,*ajj,*bjj;
604   PetscErrorCode    ierr;
605   PetscInt          rstart,nz,i,j,jj,irow,countA,countB;
606   PetscInt          *row,*col;
607   const PetscScalar *av, *bv,*v1,*v2;
608   PetscScalar       *val;
609   Mat_MPIAIJ        *mat = (Mat_MPIAIJ*)A->data;
610   Mat_SeqAIJ        *aa  = (Mat_SeqAIJ*)(mat->A)->data;
611   Mat_SeqAIJ        *bb  = (Mat_SeqAIJ*)(mat->B)->data;
612 
613   PetscFunctionBegin;
614   ai=aa->i; aj=aa->j; bi=bb->i; bj=bb->j; rstart= A->rmap->rstart;
615   av=aa->a; bv=bb->a;
616 
617   garray = mat->garray;
618 
619   if (reuse == MAT_INITIAL_MATRIX) {
620     nz   = aa->nz + bb->nz;
621     *nnz = nz;
622     ierr = PetscMalloc((2*nz*sizeof(PetscInt)+nz*sizeof(PetscScalar)), &row);CHKERRQ(ierr);
623     col  = row + nz;
624     val  = (PetscScalar*)(col + nz);
625 
626     *r = row; *c = col; *v = val;
627   } else {
628     row = *r; col = *c; val = *v;
629   }
630 
631   jj = 0; irow = rstart;
632   for (i=0; i<m; i++) {
633     ajj    = aj + ai[i];                 /* ptr to the beginning of this row */
634     countA = ai[i+1] - ai[i];
635     countB = bi[i+1] - bi[i];
636     bjj    = bj + bi[i];
637     v1     = av + ai[i];
638     v2     = bv + bi[i];
639 
640     /* A-part */
641     for (j=0; j<countA; j++) {
642       if (reuse == MAT_INITIAL_MATRIX) {
643         row[jj] = irow + shift; col[jj] = rstart + ajj[j] + shift;
644       }
645       val[jj++] = v1[j];
646     }
647 
648     /* B-part */
649     for (j=0; j < countB; j++) {
650       if (reuse == MAT_INITIAL_MATRIX) {
651         row[jj] = irow + shift; col[jj] = garray[bjj[j]] + shift;
652       }
653       val[jj++] = v2[j];
654     }
655     irow++;
656   }
657   PetscFunctionReturn(0);
658 }
659 
660 #undef __FUNCT__
661 #define __FUNCT__ "MatConvertToTriples_mpibaij_mpiaij"
662 PetscErrorCode MatConvertToTriples_mpibaij_mpiaij(Mat A,int shift,MatReuse reuse,int *nnz,int **r, int **c, PetscScalar **v)
663 {
664   Mat_MPIBAIJ       *mat    = (Mat_MPIBAIJ*)A->data;
665   Mat_SeqBAIJ       *aa     = (Mat_SeqBAIJ*)(mat->A)->data;
666   Mat_SeqBAIJ       *bb     = (Mat_SeqBAIJ*)(mat->B)->data;
667   const PetscInt    *ai     = aa->i, *bi = bb->i, *aj = aa->j, *bj = bb->j,*ajj, *bjj;
668   const PetscInt    *garray = mat->garray,mbs=mat->mbs,rstart=A->rmap->rstart;
669   const PetscInt    bs2=mat->bs2;
670   PetscErrorCode    ierr;
671   PetscInt          bs,nz,i,j,k,n,jj,irow,countA,countB,idx;
672   PetscInt          *row,*col;
673   const PetscScalar *av=aa->a, *bv=bb->a,*v1,*v2;
674   PetscScalar       *val;
675 
676   PetscFunctionBegin;
677   ierr = MatGetBlockSize(A,&bs);CHKERRQ(ierr);
678   if (reuse == MAT_INITIAL_MATRIX) {
679     nz   = bs2*(aa->nz + bb->nz);
680     *nnz = nz;
681     ierr = PetscMalloc((2*nz*sizeof(PetscInt)+nz*sizeof(PetscScalar)), &row);CHKERRQ(ierr);
682     col  = row + nz;
683     val  = (PetscScalar*)(col + nz);
684 
685     *r = row; *c = col; *v = val;
686   } else {
687     row = *r; col = *c; val = *v;
688   }
689 
690   jj = 0; irow = rstart;
691   for (i=0; i<mbs; i++) {
692     countA = ai[i+1] - ai[i];
693     countB = bi[i+1] - bi[i];
694     ajj    = aj + ai[i];
695     bjj    = bj + bi[i];
696     v1     = av + bs2*ai[i];
697     v2     = bv + bs2*bi[i];
698 
699     idx = 0;
700     /* A-part */
701     for (k=0; k<countA; k++) {
702       for (j=0; j<bs; j++) {
703         for (n=0; n<bs; n++) {
704           if (reuse == MAT_INITIAL_MATRIX) {
705             row[jj] = irow + n + shift;
706             col[jj] = rstart + bs*ajj[k] + j + shift;
707           }
708           val[jj++] = v1[idx++];
709         }
710       }
711     }
712 
713     idx = 0;
714     /* B-part */
715     for (k=0; k<countB; k++) {
716       for (j=0; j<bs; j++) {
717         for (n=0; n<bs; n++) {
718           if (reuse == MAT_INITIAL_MATRIX) {
719             row[jj] = irow + n + shift;
720             col[jj] = bs*garray[bjj[k]] + j + shift;
721           }
722           val[jj++] = v2[idx++];
723         }
724       }
725     }
726     irow += bs;
727   }
728   PetscFunctionReturn(0);
729 }
730 
731 #undef __FUNCT__
732 #define __FUNCT__ "MatConvertToTriples_mpiaij_mpisbaij"
733 PetscErrorCode MatConvertToTriples_mpiaij_mpisbaij(Mat A,int shift,MatReuse reuse,int *nnz,int **r, int **c, PetscScalar **v)
734 {
735   const PetscInt    *ai, *aj,*adiag, *bi, *bj,*garray,m=A->rmap->n,*ajj,*bjj;
736   PetscErrorCode    ierr;
737   PetscInt          rstart,nz,nza,nzb,i,j,jj,irow,countA,countB;
738   PetscInt          *row,*col;
739   const PetscScalar *av, *bv,*v1,*v2;
740   PetscScalar       *val;
741   Mat_MPIAIJ        *mat =  (Mat_MPIAIJ*)A->data;
742   Mat_SeqAIJ        *aa  =(Mat_SeqAIJ*)(mat->A)->data;
743   Mat_SeqAIJ        *bb  =(Mat_SeqAIJ*)(mat->B)->data;
744 
745   PetscFunctionBegin;
746   ai=aa->i; aj=aa->j; adiag=aa->diag;
747   bi=bb->i; bj=bb->j; garray = mat->garray;
748   av=aa->a; bv=bb->a;
749 
750   rstart = A->rmap->rstart;
751 
752   if (reuse == MAT_INITIAL_MATRIX) {
753     nza = 0;    /* num of upper triangular entries in mat->A, including diagonals */
754     nzb = 0;    /* num of upper triangular entries in mat->B */
755     for (i=0; i<m; i++) {
756       nza   += (ai[i+1] - adiag[i]);
757       countB = bi[i+1] - bi[i];
758       bjj    = bj + bi[i];
759       for (j=0; j<countB; j++) {
760         if (garray[bjj[j]] > rstart) nzb++;
761       }
762     }
763 
764     nz   = nza + nzb; /* total nz of upper triangular part of mat */
765     *nnz = nz;
766     ierr = PetscMalloc((2*nz*sizeof(PetscInt)+nz*sizeof(PetscScalar)), &row);CHKERRQ(ierr);
767     col  = row + nz;
768     val  = (PetscScalar*)(col + nz);
769 
770     *r = row; *c = col; *v = val;
771   } else {
772     row = *r; col = *c; val = *v;
773   }
774 
775   jj = 0; irow = rstart;
776   for (i=0; i<m; i++) {
777     ajj    = aj + adiag[i];                 /* ptr to the beginning of the diagonal of this row */
778     v1     = av + adiag[i];
779     countA = ai[i+1] - adiag[i];
780     countB = bi[i+1] - bi[i];
781     bjj    = bj + bi[i];
782     v2     = bv + bi[i];
783 
784     /* A-part */
785     for (j=0; j<countA; j++) {
786       if (reuse == MAT_INITIAL_MATRIX) {
787         row[jj] = irow + shift; col[jj] = rstart + ajj[j] + shift;
788       }
789       val[jj++] = v1[j];
790     }
791 
792     /* B-part */
793     for (j=0; j < countB; j++) {
794       if (garray[bjj[j]] > rstart) {
795         if (reuse == MAT_INITIAL_MATRIX) {
796           row[jj] = irow + shift; col[jj] = garray[bjj[j]] + shift;
797         }
798         val[jj++] = v2[j];
799       }
800     }
801     irow++;
802   }
803   PetscFunctionReturn(0);
804 }
805 
806 #undef __FUNCT__
807 #define __FUNCT__ "MatDestroy_MUMPS"
808 PetscErrorCode MatDestroy_MUMPS(Mat A)
809 {
810   Mat_MUMPS      *mumps=(Mat_MUMPS*)A->data;
811   PetscErrorCode ierr;
812 
813   PetscFunctionBegin;
814   ierr = PetscFree2(mumps->id.sol_loc,mumps->id.isol_loc);CHKERRQ(ierr);
815   ierr = VecScatterDestroy(&mumps->scat_rhs);CHKERRQ(ierr);
816   ierr = VecScatterDestroy(&mumps->scat_sol);CHKERRQ(ierr);
817   ierr = VecDestroy(&mumps->b_seq);CHKERRQ(ierr);
818   ierr = VecDestroy(&mumps->x_seq);CHKERRQ(ierr);
819   ierr = PetscFree(mumps->id.perm_in);CHKERRQ(ierr);
820   ierr = PetscFree(mumps->irn);CHKERRQ(ierr);
821   ierr = PetscFree(mumps->info);CHKERRQ(ierr);
822   ierr = MatMumpsResetSchur_Private(mumps);CHKERRQ(ierr);
823   mumps->id.job = JOB_END;
824   PetscMUMPS_c(&mumps->id);
825   ierr = MPI_Comm_free(&mumps->comm_mumps);CHKERRQ(ierr);
826   ierr = PetscFree(A->data);CHKERRQ(ierr);
827 
828   /* clear composed functions */
829   ierr = PetscObjectComposeFunction((PetscObject)A,"MatFactorGetSolverPackage_C",NULL);CHKERRQ(ierr);
830   ierr = PetscObjectComposeFunction((PetscObject)A,"MatFactorSetSchurIS_C",NULL);CHKERRQ(ierr);
831   ierr = PetscObjectComposeFunction((PetscObject)A,"MatFactorInvertSchurComplement_C",NULL);CHKERRQ(ierr);
832   ierr = PetscObjectComposeFunction((PetscObject)A,"MatFactorCreateSchurComplement_C",NULL);CHKERRQ(ierr);
833   ierr = PetscObjectComposeFunction((PetscObject)A,"MatFactorGetSchurComplement_C",NULL);CHKERRQ(ierr);
834   ierr = PetscObjectComposeFunction((PetscObject)A,"MatFactorSolveSchurComplement_C",NULL);CHKERRQ(ierr);
835   ierr = PetscObjectComposeFunction((PetscObject)A,"MatFactorSolveSchurComplementTranspose_C",NULL);CHKERRQ(ierr);
836   ierr = PetscObjectComposeFunction((PetscObject)A,"MatMumpsSetIcntl_C",NULL);CHKERRQ(ierr);
837   ierr = PetscObjectComposeFunction((PetscObject)A,"MatMumpsGetIcntl_C",NULL);CHKERRQ(ierr);
838   ierr = PetscObjectComposeFunction((PetscObject)A,"MatMumpsSetCntl_C",NULL);CHKERRQ(ierr);
839   ierr = PetscObjectComposeFunction((PetscObject)A,"MatMumpsGetCntl_C",NULL);CHKERRQ(ierr);
840   ierr = PetscObjectComposeFunction((PetscObject)A,"MatMumpsGetInfo_C",NULL);CHKERRQ(ierr);
841   ierr = PetscObjectComposeFunction((PetscObject)A,"MatMumpsGetInfog_C",NULL);CHKERRQ(ierr);
842   ierr = PetscObjectComposeFunction((PetscObject)A,"MatMumpsGetRinfo_C",NULL);CHKERRQ(ierr);
843   ierr = PetscObjectComposeFunction((PetscObject)A,"MatMumpsGetRinfog_C",NULL);CHKERRQ(ierr);
844   PetscFunctionReturn(0);
845 }
846 
847 #undef __FUNCT__
848 #define __FUNCT__ "MatSolve_MUMPS"
849 PetscErrorCode MatSolve_MUMPS(Mat A,Vec b,Vec x)
850 {
851   Mat_MUMPS        *mumps=(Mat_MUMPS*)A->data;
852   PetscScalar      *array;
853   Vec              b_seq;
854   IS               is_iden,is_petsc;
855   PetscErrorCode   ierr;
856   PetscInt         i;
857   PetscBool        second_solve = PETSC_FALSE;
858   static PetscBool cite1 = PETSC_FALSE,cite2 = PETSC_FALSE;
859 
860   PetscFunctionBegin;
861   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);
862   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);
863 
864   if (A->errortype) {
865     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);
866     ierr = VecSetInf(x);CHKERRQ(ierr);
867     PetscFunctionReturn(0);
868   }
869 
870   mumps->id.nrhs = 1;
871   b_seq          = mumps->b_seq;
872   if (mumps->size > 1) {
873     /* MUMPS only supports centralized rhs. Scatter b into a seqential rhs vector */
874     ierr = VecScatterBegin(mumps->scat_rhs,b,b_seq,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
875     ierr = VecScatterEnd(mumps->scat_rhs,b,b_seq,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
876     if (!mumps->myid) {ierr = VecGetArray(b_seq,&array);CHKERRQ(ierr);}
877   } else {  /* size == 1 */
878     ierr = VecCopy(b,x);CHKERRQ(ierr);
879     ierr = VecGetArray(x,&array);CHKERRQ(ierr);
880   }
881   if (!mumps->myid) { /* define rhs on the host */
882     mumps->id.nrhs = 1;
883     mumps->id.rhs = (MumpsScalar*)array;
884   }
885 
886   /*
887      handle condensation step of Schur complement (if any)
888      We set by default ICNTL(26) == -1 when Schur indices have been provided by the user.
889      According to MUMPS (5.0.0) manual, any value should be harmful during the factorization phase
890      Unless the user provides a valid value for ICNTL(26), MatSolve and MatMatSolve routines solve the full system.
891      This requires an extra call to PetscMUMPS_c and the computation of the factors for S
892   */
893   if (mumps->id.ICNTL(26) < 0 || mumps->id.ICNTL(26) > 2) {
894     second_solve = PETSC_TRUE;
895     ierr = MatMumpsHandleSchur_Private(mumps,PETSC_FALSE);CHKERRQ(ierr);
896   }
897   /* solve phase */
898   /*-------------*/
899   mumps->id.job = JOB_SOLVE;
900   PetscMUMPS_c(&mumps->id);
901   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));
902 
903   /* handle expansion step of Schur complement (if any) */
904   if (second_solve) {
905     ierr = MatMumpsHandleSchur_Private(mumps,PETSC_TRUE);CHKERRQ(ierr);
906   }
907 
908   if (mumps->size > 1) { /* convert mumps distributed solution to petsc mpi x */
909     if (mumps->scat_sol && mumps->ICNTL9_pre != mumps->id.ICNTL(9)) {
910       /* when id.ICNTL(9) changes, the contents of lsol_loc may change (not its size, lsol_loc), recreates scat_sol */
911       ierr = VecScatterDestroy(&mumps->scat_sol);CHKERRQ(ierr);
912     }
913     if (!mumps->scat_sol) { /* create scatter scat_sol */
914       ierr = ISCreateStride(PETSC_COMM_SELF,mumps->id.lsol_loc,0,1,&is_iden);CHKERRQ(ierr); /* from */
915       for (i=0; i<mumps->id.lsol_loc; i++) {
916         mumps->id.isol_loc[i] -= 1; /* change Fortran style to C style */
917       }
918       ierr = ISCreateGeneral(PETSC_COMM_SELF,mumps->id.lsol_loc,mumps->id.isol_loc,PETSC_COPY_VALUES,&is_petsc);CHKERRQ(ierr);  /* to */
919       ierr = VecScatterCreate(mumps->x_seq,is_iden,x,is_petsc,&mumps->scat_sol);CHKERRQ(ierr);
920       ierr = ISDestroy(&is_iden);CHKERRQ(ierr);
921       ierr = ISDestroy(&is_petsc);CHKERRQ(ierr);
922 
923       mumps->ICNTL9_pre = mumps->id.ICNTL(9); /* save current value of id.ICNTL(9) */
924     }
925 
926     ierr = VecScatterBegin(mumps->scat_sol,mumps->x_seq,x,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
927     ierr = VecScatterEnd(mumps->scat_sol,mumps->x_seq,x,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
928   }
929   PetscFunctionReturn(0);
930 }
931 
932 #undef __FUNCT__
933 #define __FUNCT__ "MatSolveTranspose_MUMPS"
934 PetscErrorCode MatSolveTranspose_MUMPS(Mat A,Vec b,Vec x)
935 {
936   Mat_MUMPS      *mumps=(Mat_MUMPS*)A->data;
937   PetscErrorCode ierr;
938 
939   PetscFunctionBegin;
940   mumps->id.ICNTL(9) = 0;
941   ierr = MatSolve_MUMPS(A,b,x);CHKERRQ(ierr);
942   mumps->id.ICNTL(9) = 1;
943   PetscFunctionReturn(0);
944 }
945 
946 #undef __FUNCT__
947 #define __FUNCT__ "MatMatSolve_MUMPS"
948 PetscErrorCode MatMatSolve_MUMPS(Mat A,Mat B,Mat X)
949 {
950   PetscErrorCode ierr;
951   PetscBool      flg;
952   Mat_MUMPS      *mumps=(Mat_MUMPS*)A->data;
953   PetscInt       i,nrhs,M;
954   PetscScalar    *array,*bray;
955 
956   PetscFunctionBegin;
957   ierr = PetscObjectTypeCompareAny((PetscObject)B,&flg,MATSEQDENSE,MATMPIDENSE,NULL);CHKERRQ(ierr);
958   if (!flg) SETERRQ(PetscObjectComm((PetscObject)B),PETSC_ERR_ARG_WRONG,"Matrix B must be MATDENSE matrix");
959   ierr = PetscObjectTypeCompareAny((PetscObject)X,&flg,MATSEQDENSE,MATMPIDENSE,NULL);CHKERRQ(ierr);
960   if (!flg) SETERRQ(PetscObjectComm((PetscObject)X),PETSC_ERR_ARG_WRONG,"Matrix X must be MATDENSE matrix");
961   if (B->rmap->n != X->rmap->n) SETERRQ(PetscObjectComm((PetscObject)B),PETSC_ERR_ARG_WRONG,"Matrix B and X must have same row distribution");
962 
963   ierr = MatGetSize(B,&M,&nrhs);CHKERRQ(ierr);
964   mumps->id.nrhs = nrhs;
965   mumps->id.lrhs = M;
966 
967   if (mumps->size == 1) {
968     /* copy B to X */
969     ierr = MatDenseGetArray(B,&bray);CHKERRQ(ierr);
970     ierr = MatDenseGetArray(X,&array);CHKERRQ(ierr);
971     ierr = PetscMemcpy(array,bray,M*nrhs*sizeof(PetscScalar));CHKERRQ(ierr);
972     ierr = MatDenseRestoreArray(B,&bray);CHKERRQ(ierr);
973     mumps->id.rhs = (MumpsScalar*)array;
974     /* handle condensation step of Schur complement (if any) */
975     ierr = MatMumpsHandleSchur_Private(mumps,PETSC_FALSE);CHKERRQ(ierr);
976 
977     /* solve phase */
978     /*-------------*/
979     mumps->id.job = JOB_SOLVE;
980     PetscMUMPS_c(&mumps->id);
981     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));
982 
983     /* handle expansion step of Schur complement (if any) */
984     ierr = MatMumpsHandleSchur_Private(mumps,PETSC_TRUE);CHKERRQ(ierr);
985     ierr = MatDenseRestoreArray(X,&array);CHKERRQ(ierr);
986   } else {  /*--------- parallel case --------*/
987     PetscInt       lsol_loc,nlsol_loc,*isol_loc,*idx,*iidx,*idxx,*isol_loc_save;
988     MumpsScalar    *sol_loc,*sol_loc_save;
989     IS             is_to,is_from;
990     PetscInt       k,proc,j,m;
991     const PetscInt *rstart;
992     Vec            v_mpi,b_seq,x_seq;
993     VecScatter     scat_rhs,scat_sol;
994 
995     /* create x_seq to hold local solution */
996     isol_loc_save = mumps->id.isol_loc; /* save it for MatSovle() */
997     sol_loc_save  = mumps->id.sol_loc;
998 
999     lsol_loc  = mumps->id.INFO(23);
1000     nlsol_loc = nrhs*lsol_loc;     /* length of sol_loc */
1001     ierr = PetscMalloc2(nlsol_loc,&sol_loc,nlsol_loc,&isol_loc);CHKERRQ(ierr);
1002     mumps->id.sol_loc = (MumpsScalar*)sol_loc;
1003     mumps->id.isol_loc = isol_loc;
1004 
1005     ierr = VecCreateSeqWithArray(PETSC_COMM_SELF,1,nlsol_loc,(PetscScalar*)sol_loc,&x_seq);CHKERRQ(ierr);
1006 
1007     /* copy rhs matrix B into vector v_mpi */
1008     ierr = MatGetLocalSize(B,&m,NULL);CHKERRQ(ierr);
1009     ierr = MatDenseGetArray(B,&bray);CHKERRQ(ierr);
1010     ierr = VecCreateMPIWithArray(PetscObjectComm((PetscObject)B),1,nrhs*m,nrhs*M,(const PetscScalar*)bray,&v_mpi);CHKERRQ(ierr);
1011     ierr = MatDenseRestoreArray(B,&bray);CHKERRQ(ierr);
1012 
1013     /* scatter v_mpi to b_seq because MUMPS only supports centralized rhs */
1014     /* idx: maps from k-th index of v_mpi to (i,j)-th global entry of B;
1015       iidx: inverse of idx, will be used by scattering xx_seq -> X       */
1016     ierr = PetscMalloc2(nrhs*M,&idx,nrhs*M,&iidx);CHKERRQ(ierr);
1017     ierr = MatGetOwnershipRanges(B,&rstart);CHKERRQ(ierr);
1018     k = 0;
1019     for (proc=0; proc<mumps->size; proc++){
1020       for (j=0; j<nrhs; j++){
1021         for (i=rstart[proc]; i<rstart[proc+1]; i++){
1022           iidx[j*M + i] = k;
1023           idx[k++]      = j*M + i;
1024         }
1025       }
1026     }
1027 
1028     if (!mumps->myid) {
1029       ierr = VecCreateSeq(PETSC_COMM_SELF,nrhs*M,&b_seq);CHKERRQ(ierr);
1030       ierr = ISCreateGeneral(PETSC_COMM_SELF,nrhs*M,idx,PETSC_COPY_VALUES,&is_to);CHKERRQ(ierr);
1031       ierr = ISCreateStride(PETSC_COMM_SELF,nrhs*M,0,1,&is_from);CHKERRQ(ierr);
1032     } else {
1033       ierr = VecCreateSeq(PETSC_COMM_SELF,0,&b_seq);CHKERRQ(ierr);
1034       ierr = ISCreateStride(PETSC_COMM_SELF,0,0,1,&is_to);CHKERRQ(ierr);
1035       ierr = ISCreateStride(PETSC_COMM_SELF,0,0,1,&is_from);CHKERRQ(ierr);
1036     }
1037     ierr = VecScatterCreate(v_mpi,is_from,b_seq,is_to,&scat_rhs);CHKERRQ(ierr);
1038     ierr = VecScatterBegin(scat_rhs,v_mpi,b_seq,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1039     ierr = ISDestroy(&is_to);CHKERRQ(ierr);
1040     ierr = ISDestroy(&is_from);CHKERRQ(ierr);
1041     ierr = VecScatterEnd(scat_rhs,v_mpi,b_seq,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1042 
1043     if (!mumps->myid) { /* define rhs on the host */
1044       ierr = VecGetArray(b_seq,&bray);CHKERRQ(ierr);
1045       mumps->id.rhs = (MumpsScalar*)bray;
1046       ierr = VecRestoreArray(b_seq,&bray);CHKERRQ(ierr);
1047     }
1048 
1049     /* solve phase */
1050     /*-------------*/
1051     mumps->id.job = JOB_SOLVE;
1052     PetscMUMPS_c(&mumps->id);
1053     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));
1054 
1055     /* scatter mumps distributed solution to petsc vector v_mpi, which shares local arrays with solution matrix X */
1056     ierr = MatDenseGetArray(X,&array);CHKERRQ(ierr);
1057     ierr = VecPlaceArray(v_mpi,array);CHKERRQ(ierr);
1058 
1059     /* create scatter scat_sol */
1060     ierr = PetscMalloc1(nlsol_loc,&idxx);CHKERRQ(ierr);
1061     ierr = ISCreateStride(PETSC_COMM_SELF,nlsol_loc,0,1,&is_from);CHKERRQ(ierr);
1062     for (i=0; i<lsol_loc; i++) {
1063       isol_loc[i] -= 1; /* change Fortran style to C style */
1064       idxx[i] = iidx[isol_loc[i]];
1065       for (j=1; j<nrhs; j++){
1066         idxx[j*lsol_loc+i] = iidx[isol_loc[i]+j*M];
1067       }
1068     }
1069     ierr = ISCreateGeneral(PETSC_COMM_SELF,nlsol_loc,idxx,PETSC_COPY_VALUES,&is_to);CHKERRQ(ierr);
1070     ierr = VecScatterCreate(x_seq,is_from,v_mpi,is_to,&scat_sol);CHKERRQ(ierr);
1071     ierr = VecScatterBegin(scat_sol,x_seq,v_mpi,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1072     ierr = ISDestroy(&is_from);CHKERRQ(ierr);
1073     ierr = ISDestroy(&is_to);CHKERRQ(ierr);
1074     ierr = VecScatterEnd(scat_sol,x_seq,v_mpi,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1075     ierr = MatDenseRestoreArray(X,&array);CHKERRQ(ierr);
1076 
1077     /* free spaces */
1078     mumps->id.sol_loc = sol_loc_save;
1079     mumps->id.isol_loc = isol_loc_save;
1080 
1081     ierr = PetscFree2(sol_loc,isol_loc);CHKERRQ(ierr);
1082     ierr = PetscFree2(idx,iidx);CHKERRQ(ierr);
1083     ierr = PetscFree(idxx);CHKERRQ(ierr);
1084     ierr = VecDestroy(&x_seq);CHKERRQ(ierr);
1085     ierr = VecDestroy(&v_mpi);CHKERRQ(ierr);
1086     ierr = VecDestroy(&b_seq);CHKERRQ(ierr);
1087     ierr = VecScatterDestroy(&scat_rhs);CHKERRQ(ierr);
1088     ierr = VecScatterDestroy(&scat_sol);CHKERRQ(ierr);
1089   }
1090   PetscFunctionReturn(0);
1091 }
1092 
1093 #if !defined(PETSC_USE_COMPLEX)
1094 /*
1095   input:
1096    F:        numeric factor
1097   output:
1098    nneg:     total number of negative pivots
1099    nzero:    total number of zero pivots
1100    npos:     (global dimension of F) - nneg - nzero
1101 */
1102 #undef __FUNCT__
1103 #define __FUNCT__ "MatGetInertia_SBAIJMUMPS"
1104 PetscErrorCode MatGetInertia_SBAIJMUMPS(Mat F,int *nneg,int *nzero,int *npos)
1105 {
1106   Mat_MUMPS      *mumps =(Mat_MUMPS*)F->data;
1107   PetscErrorCode ierr;
1108   PetscMPIInt    size;
1109 
1110   PetscFunctionBegin;
1111   ierr = MPI_Comm_size(PetscObjectComm((PetscObject)F),&size);CHKERRQ(ierr);
1112   /* 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 */
1113   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));
1114 
1115   if (nneg) *nneg = mumps->id.INFOG(12);
1116   if (nzero || npos) {
1117     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");
1118     if (nzero) *nzero = mumps->id.INFOG(28);
1119     if (npos) *npos   = F->rmap->N - (mumps->id.INFOG(12) + mumps->id.INFOG(28));
1120   }
1121   PetscFunctionReturn(0);
1122 }
1123 #endif
1124 
1125 #undef __FUNCT__
1126 #define __FUNCT__ "MatFactorNumeric_MUMPS"
1127 PetscErrorCode MatFactorNumeric_MUMPS(Mat F,Mat A,const MatFactorInfo *info)
1128 {
1129   Mat_MUMPS      *mumps =(Mat_MUMPS*)(F)->data;
1130   PetscErrorCode ierr;
1131   PetscBool      isMPIAIJ;
1132 
1133   PetscFunctionBegin;
1134   if (mumps->id.INFOG(1) < 0) {
1135     if (mumps->id.INFOG(1) == -6) {
1136       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);
1137     }
1138     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);
1139     PetscFunctionReturn(0);
1140   }
1141 
1142   ierr = (*mumps->ConvertToTriples)(A, 1, MAT_REUSE_MATRIX, &mumps->nz, &mumps->irn, &mumps->jcn, &mumps->val);CHKERRQ(ierr);
1143 
1144   /* numerical factorization phase */
1145   /*-------------------------------*/
1146   mumps->id.job = JOB_FACTNUMERIC;
1147   if (!mumps->id.ICNTL(18)) { /* A is centralized */
1148     if (!mumps->myid) {
1149       mumps->id.a = (MumpsScalar*)mumps->val;
1150     }
1151   } else {
1152     mumps->id.a_loc = (MumpsScalar*)mumps->val;
1153   }
1154   PetscMUMPS_c(&mumps->id);
1155   if (mumps->id.INFOG(1) < 0) {
1156     if (A->erroriffailure) {
1157       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));
1158     } else {
1159       if (mumps->id.INFOG(1) == -10) { /* numerically singular matrix */
1160         ierr = PetscInfo2(F,"matrix is numerically singular, INFOG(1)=%d, INFO(2)=%d\n",mumps->id.INFOG(1),mumps->id.INFO(2));CHKERRQ(ierr);
1161         F->errortype = MAT_FACTOR_NUMERIC_ZEROPIVOT;
1162       } else if (mumps->id.INFOG(1) == -13) {
1163         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);
1164         F->errortype = MAT_FACTOR_OUTMEMORY;
1165       } else if (mumps->id.INFOG(1) == -8 || mumps->id.INFOG(1) == -9 || (-16 < mumps->id.INFOG(1) && mumps->id.INFOG(1) < -10) ) {
1166         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);
1167         F->errortype = MAT_FACTOR_OUTMEMORY;
1168       } else {
1169         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);
1170         F->errortype = MAT_FACTOR_OTHER;
1171       }
1172     }
1173   }
1174   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));
1175 
1176   (F)->assembled        = PETSC_TRUE;
1177   mumps->matstruc       = SAME_NONZERO_PATTERN;
1178   mumps->schur_factored = PETSC_FALSE;
1179   mumps->schur_inverted = PETSC_FALSE;
1180 
1181   /* just to be sure that ICNTL(19) value returned by a call from MatMumpsGetIcntl is always consistent */
1182   if (!mumps->sym && mumps->id.ICNTL(19) && mumps->id.ICNTL(19) != 1) mumps->id.ICNTL(19) = 3;
1183 
1184   if (mumps->size > 1) {
1185     PetscInt    lsol_loc;
1186     PetscScalar *sol_loc;
1187 
1188     ierr = PetscObjectTypeCompare((PetscObject)A,MATMPIAIJ,&isMPIAIJ);CHKERRQ(ierr);
1189 
1190     /* distributed solution; Create x_seq=sol_loc for repeated use */
1191     if (mumps->x_seq) {
1192       ierr = VecScatterDestroy(&mumps->scat_sol);CHKERRQ(ierr);
1193       ierr = PetscFree2(mumps->id.sol_loc,mumps->id.isol_loc);CHKERRQ(ierr);
1194       ierr = VecDestroy(&mumps->x_seq);CHKERRQ(ierr);
1195     }
1196     lsol_loc = mumps->id.INFO(23); /* length of sol_loc */
1197     ierr = PetscMalloc2(lsol_loc,&sol_loc,lsol_loc,&mumps->id.isol_loc);CHKERRQ(ierr);
1198     mumps->id.lsol_loc = lsol_loc;
1199     mumps->id.sol_loc = (MumpsScalar*)sol_loc;
1200     ierr = VecCreateSeqWithArray(PETSC_COMM_SELF,1,lsol_loc,sol_loc,&mumps->x_seq);CHKERRQ(ierr);
1201   }
1202   PetscFunctionReturn(0);
1203 }
1204 
1205 /* Sets MUMPS options from the options database */
1206 #undef __FUNCT__
1207 #define __FUNCT__ "PetscSetMUMPSFromOptions"
1208 PetscErrorCode PetscSetMUMPSFromOptions(Mat F, Mat A)
1209 {
1210   Mat_MUMPS      *mumps = (Mat_MUMPS*)F->data;
1211   PetscErrorCode ierr;
1212   PetscInt       icntl,info[40],i,ninfo=40;
1213   PetscBool      flg;
1214 
1215   PetscFunctionBegin;
1216   ierr = PetscOptionsBegin(PetscObjectComm((PetscObject)A),((PetscObject)A)->prefix,"MUMPS Options","Mat");CHKERRQ(ierr);
1217   ierr = PetscOptionsInt("-mat_mumps_icntl_1","ICNTL(1): output stream for error messages","None",mumps->id.ICNTL(1),&icntl,&flg);CHKERRQ(ierr);
1218   if (flg) mumps->id.ICNTL(1) = icntl;
1219   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);
1220   if (flg) mumps->id.ICNTL(2) = icntl;
1221   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);
1222   if (flg) mumps->id.ICNTL(3) = icntl;
1223 
1224   ierr = PetscOptionsInt("-mat_mumps_icntl_4","ICNTL(4): level of printing (0 to 4)","None",mumps->id.ICNTL(4),&icntl,&flg);CHKERRQ(ierr);
1225   if (flg) mumps->id.ICNTL(4) = icntl;
1226   if (mumps->id.ICNTL(4) || PetscLogPrintInfo) mumps->id.ICNTL(3) = 6; /* resume MUMPS default id.ICNTL(3) = 6 */
1227 
1228   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);
1229   if (flg) mumps->id.ICNTL(6) = icntl;
1230 
1231   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);
1232   if (flg) {
1233     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");
1234     else mumps->id.ICNTL(7) = icntl;
1235   }
1236 
1237   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);
1238   /* 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() */
1239   ierr = PetscOptionsInt("-mat_mumps_icntl_10","ICNTL(10): max num of refinements","None",mumps->id.ICNTL(10),&mumps->id.ICNTL(10),NULL);CHKERRQ(ierr);
1240   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);
1241   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);
1242   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);
1243   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);
1244   ierr = PetscOptionsInt("-mat_mumps_icntl_19","ICNTL(19): computes the Schur complement","None",mumps->id.ICNTL(19),&mumps->id.ICNTL(19),NULL);CHKERRQ(ierr);
1245   if (mumps->id.ICNTL(19) <= 0 || mumps->id.ICNTL(19) > 3) { /* reset any schur data (if any) */
1246     ierr = MatMumpsResetSchur_Private(mumps);CHKERRQ(ierr);
1247   }
1248   /* 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 */
1249   /* 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 */
1250 
1251   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);
1252   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);
1253   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);
1254   if (mumps->id.ICNTL(24)) {
1255     mumps->id.ICNTL(13) = 1; /* turn-off ScaLAPACK to help with the correct detection of null pivots */
1256   }
1257 
1258   ierr = PetscOptionsInt("-mat_mumps_icntl_25","ICNTL(25): compute a solution of a deficient matrix and a null space basis","None",mumps->id.ICNTL(25),&mumps->id.ICNTL(25),NULL);CHKERRQ(ierr);
1259   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);
1260   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);
1261   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);
1262   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);
1263   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);
1264   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);
1265   /* 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 */
1266   ierr = PetscOptionsInt("-mat_mumps_icntl_33","ICNTL(33): compute determinant","None",mumps->id.ICNTL(33),&mumps->id.ICNTL(33),NULL);CHKERRQ(ierr);
1267 
1268   ierr = PetscOptionsReal("-mat_mumps_cntl_1","CNTL(1): relative pivoting threshold","None",mumps->id.CNTL(1),&mumps->id.CNTL(1),NULL);CHKERRQ(ierr);
1269   ierr = PetscOptionsReal("-mat_mumps_cntl_2","CNTL(2): stopping criterion of refinement","None",mumps->id.CNTL(2),&mumps->id.CNTL(2),NULL);CHKERRQ(ierr);
1270   ierr = PetscOptionsReal("-mat_mumps_cntl_3","CNTL(3): absolute pivoting threshold","None",mumps->id.CNTL(3),&mumps->id.CNTL(3),NULL);CHKERRQ(ierr);
1271   ierr = PetscOptionsReal("-mat_mumps_cntl_4","CNTL(4): value for static pivoting","None",mumps->id.CNTL(4),&mumps->id.CNTL(4),NULL);CHKERRQ(ierr);
1272   ierr = PetscOptionsReal("-mat_mumps_cntl_5","CNTL(5): fixation for null pivots","None",mumps->id.CNTL(5),&mumps->id.CNTL(5),NULL);CHKERRQ(ierr);
1273 
1274   ierr = PetscOptionsString("-mat_mumps_ooc_tmpdir", "out of core directory", "None", mumps->id.ooc_tmpdir, mumps->id.ooc_tmpdir, 256, NULL);CHKERRQ(ierr);
1275 
1276   ierr = PetscOptionsIntArray("-mat_mumps_view_info","request INFO local to each processor","",info,&ninfo,NULL);CHKERRQ(ierr);
1277   if (ninfo) {
1278     if (ninfo > 40) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_USER,"number of INFO %d must <= 40\n",ninfo);
1279     ierr = PetscMalloc1(ninfo,&mumps->info);CHKERRQ(ierr);
1280     mumps->ninfo = ninfo;
1281     for (i=0; i<ninfo; i++) {
1282       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);
1283       else  mumps->info[i] = info[i];
1284     }
1285   }
1286 
1287   ierr = PetscOptionsEnd();CHKERRQ(ierr);
1288   PetscFunctionReturn(0);
1289 }
1290 
1291 #undef __FUNCT__
1292 #define __FUNCT__ "PetscInitializeMUMPS"
1293 PetscErrorCode PetscInitializeMUMPS(Mat A,Mat_MUMPS *mumps)
1294 {
1295   PetscErrorCode ierr;
1296 
1297   PetscFunctionBegin;
1298   ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)A), &mumps->myid);CHKERRQ(ierr);
1299   ierr = MPI_Comm_size(PetscObjectComm((PetscObject)A),&mumps->size);CHKERRQ(ierr);
1300   ierr = MPI_Comm_dup(PetscObjectComm((PetscObject)A),&(mumps->comm_mumps));CHKERRQ(ierr);
1301 
1302   mumps->id.comm_fortran = MPI_Comm_c2f(mumps->comm_mumps);
1303 
1304   mumps->id.job = JOB_INIT;
1305   mumps->id.par = 1;  /* host participates factorizaton and solve */
1306   mumps->id.sym = mumps->sym;
1307   PetscMUMPS_c(&mumps->id);
1308 
1309   mumps->scat_rhs     = NULL;
1310   mumps->scat_sol     = NULL;
1311 
1312   /* set PETSc-MUMPS default options - override MUMPS default */
1313   mumps->id.ICNTL(3) = 0;
1314   mumps->id.ICNTL(4) = 0;
1315   if (mumps->size == 1) {
1316     mumps->id.ICNTL(18) = 0;   /* centralized assembled matrix input */
1317   } else {
1318     mumps->id.ICNTL(18) = 3;   /* distributed assembled matrix input */
1319     mumps->id.ICNTL(20) = 0;   /* rhs is in dense format */
1320     mumps->id.ICNTL(21) = 1;   /* distributed solution */
1321   }
1322 
1323   /* schur */
1324   mumps->id.size_schur      = 0;
1325   mumps->id.listvar_schur   = NULL;
1326   mumps->id.schur           = NULL;
1327   mumps->sizeredrhs         = 0;
1328   mumps->schur_pivots       = NULL;
1329   mumps->schur_work         = NULL;
1330   mumps->schur_sol          = NULL;
1331   mumps->schur_sizesol      = 0;
1332   mumps->schur_factored     = PETSC_FALSE;
1333   mumps->schur_inverted     = PETSC_FALSE;
1334   PetscFunctionReturn(0);
1335 }
1336 
1337 #undef __FUNCT__
1338 #define __FUNCT__ "MatFactorSymbolic_MUMPS_ReportIfError"
1339 PetscErrorCode MatFactorSymbolic_MUMPS_ReportIfError(Mat F,Mat A,const MatFactorInfo *info,Mat_MUMPS *mumps)
1340 {
1341   PetscErrorCode ierr;
1342 
1343   PetscFunctionBegin;
1344   if (mumps->id.INFOG(1) < 0) {
1345     if (A->erroriffailure) {
1346       SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error reported by MUMPS in analysis phase: INFOG(1)=%d\n",mumps->id.INFOG(1));
1347     } else {
1348       if (mumps->id.INFOG(1) == -6) {
1349         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);
1350         F->errortype = MAT_FACTOR_STRUCT_ZEROPIVOT;
1351       } else if (mumps->id.INFOG(1) == -5 || mumps->id.INFOG(1) == -7) {
1352         ierr = PetscInfo2(F,"problem of workspace, INFOG(1)=%d, INFO(2)=%d\n",mumps->id.INFOG(1),mumps->id.INFO(2));CHKERRQ(ierr);
1353         F->errortype = MAT_FACTOR_OUTMEMORY;
1354       } else {
1355         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);
1356         F->errortype = MAT_FACTOR_OTHER;
1357       }
1358     }
1359   }
1360   PetscFunctionReturn(0);
1361 }
1362 
1363 /* Note Petsc r(=c) permutation is used when mumps->id.ICNTL(7)==1 with centralized assembled matrix input; otherwise r and c are ignored */
1364 #undef __FUNCT__
1365 #define __FUNCT__ "MatLUFactorSymbolic_AIJMUMPS"
1366 PetscErrorCode MatLUFactorSymbolic_AIJMUMPS(Mat F,Mat A,IS r,IS c,const MatFactorInfo *info)
1367 {
1368   Mat_MUMPS      *mumps = (Mat_MUMPS*)F->data;
1369   PetscErrorCode ierr;
1370   Vec            b;
1371   IS             is_iden;
1372   const PetscInt M = A->rmap->N;
1373 
1374   PetscFunctionBegin;
1375   mumps->matstruc = DIFFERENT_NONZERO_PATTERN;
1376 
1377   /* Set MUMPS options from the options database */
1378   ierr = PetscSetMUMPSFromOptions(F,A);CHKERRQ(ierr);
1379 
1380   ierr = (*mumps->ConvertToTriples)(A, 1, MAT_INITIAL_MATRIX, &mumps->nz, &mumps->irn, &mumps->jcn, &mumps->val);CHKERRQ(ierr);
1381 
1382   /* analysis phase */
1383   /*----------------*/
1384   mumps->id.job = JOB_FACTSYMBOLIC;
1385   mumps->id.n   = M;
1386   switch (mumps->id.ICNTL(18)) {
1387   case 0:  /* centralized assembled matrix input */
1388     if (!mumps->myid) {
1389       mumps->id.nz =mumps->nz; mumps->id.irn=mumps->irn; mumps->id.jcn=mumps->jcn;
1390       if (mumps->id.ICNTL(6)>1) {
1391         mumps->id.a = (MumpsScalar*)mumps->val;
1392       }
1393       if (mumps->id.ICNTL(7) == 1) { /* use user-provide matrix ordering - assuming r = c ordering */
1394         /*
1395         PetscBool      flag;
1396         ierr = ISEqual(r,c,&flag);CHKERRQ(ierr);
1397         if (!flag) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_USER,"row_perm != col_perm");
1398         ierr = ISView(r,PETSC_VIEWER_STDOUT_SELF);
1399          */
1400         if (!mumps->myid) {
1401           const PetscInt *idx;
1402           PetscInt       i,*perm_in;
1403 
1404           ierr = PetscMalloc1(M,&perm_in);CHKERRQ(ierr);
1405           ierr = ISGetIndices(r,&idx);CHKERRQ(ierr);
1406 
1407           mumps->id.perm_in = perm_in;
1408           for (i=0; i<M; i++) perm_in[i] = idx[i]+1; /* perm_in[]: start from 1, not 0! */
1409           ierr = ISRestoreIndices(r,&idx);CHKERRQ(ierr);
1410         }
1411       }
1412     }
1413     break;
1414   case 3:  /* distributed assembled matrix input (size>1) */
1415     mumps->id.nz_loc = mumps->nz;
1416     mumps->id.irn_loc=mumps->irn; mumps->id.jcn_loc=mumps->jcn;
1417     if (mumps->id.ICNTL(6)>1) {
1418       mumps->id.a_loc = (MumpsScalar*)mumps->val;
1419     }
1420     /* MUMPS only supports centralized rhs. Create scatter scat_rhs for repeated use in MatSolve() */
1421     if (!mumps->myid) {
1422       ierr = VecCreateSeq(PETSC_COMM_SELF,A->rmap->N,&mumps->b_seq);CHKERRQ(ierr);
1423       ierr = ISCreateStride(PETSC_COMM_SELF,A->rmap->N,0,1,&is_iden);CHKERRQ(ierr);
1424     } else {
1425       ierr = VecCreateSeq(PETSC_COMM_SELF,0,&mumps->b_seq);CHKERRQ(ierr);
1426       ierr = ISCreateStride(PETSC_COMM_SELF,0,0,1,&is_iden);CHKERRQ(ierr);
1427     }
1428     ierr = MatCreateVecs(A,NULL,&b);CHKERRQ(ierr);
1429     ierr = VecScatterCreate(b,is_iden,mumps->b_seq,is_iden,&mumps->scat_rhs);CHKERRQ(ierr);
1430     ierr = ISDestroy(&is_iden);CHKERRQ(ierr);
1431     ierr = VecDestroy(&b);CHKERRQ(ierr);
1432     break;
1433   }
1434   PetscMUMPS_c(&mumps->id);
1435   ierr = MatFactorSymbolic_MUMPS_ReportIfError(F,A,info,mumps);CHKERRQ(ierr);
1436 
1437   F->ops->lufactornumeric = MatFactorNumeric_MUMPS;
1438   F->ops->solve           = MatSolve_MUMPS;
1439   F->ops->solvetranspose  = MatSolveTranspose_MUMPS;
1440   F->ops->matsolve        = MatMatSolve_MUMPS;
1441   PetscFunctionReturn(0);
1442 }
1443 
1444 /* Note the Petsc r and c permutations are ignored */
1445 #undef __FUNCT__
1446 #define __FUNCT__ "MatLUFactorSymbolic_BAIJMUMPS"
1447 PetscErrorCode MatLUFactorSymbolic_BAIJMUMPS(Mat F,Mat A,IS r,IS c,const MatFactorInfo *info)
1448 {
1449   Mat_MUMPS      *mumps = (Mat_MUMPS*)F->data;
1450   PetscErrorCode ierr;
1451   Vec            b;
1452   IS             is_iden;
1453   const PetscInt M = A->rmap->N;
1454 
1455   PetscFunctionBegin;
1456   mumps->matstruc = DIFFERENT_NONZERO_PATTERN;
1457 
1458   /* Set MUMPS options from the options database */
1459   ierr = PetscSetMUMPSFromOptions(F,A);CHKERRQ(ierr);
1460 
1461   ierr = (*mumps->ConvertToTriples)(A, 1, MAT_INITIAL_MATRIX, &mumps->nz, &mumps->irn, &mumps->jcn, &mumps->val);CHKERRQ(ierr);
1462 
1463   /* analysis phase */
1464   /*----------------*/
1465   mumps->id.job = JOB_FACTSYMBOLIC;
1466   mumps->id.n   = M;
1467   switch (mumps->id.ICNTL(18)) {
1468   case 0:  /* centralized assembled matrix input */
1469     if (!mumps->myid) {
1470       mumps->id.nz =mumps->nz; mumps->id.irn=mumps->irn; mumps->id.jcn=mumps->jcn;
1471       if (mumps->id.ICNTL(6)>1) {
1472         mumps->id.a = (MumpsScalar*)mumps->val;
1473       }
1474     }
1475     break;
1476   case 3:  /* distributed assembled matrix input (size>1) */
1477     mumps->id.nz_loc = mumps->nz;
1478     mumps->id.irn_loc=mumps->irn; mumps->id.jcn_loc=mumps->jcn;
1479     if (mumps->id.ICNTL(6)>1) {
1480       mumps->id.a_loc = (MumpsScalar*)mumps->val;
1481     }
1482     /* MUMPS only supports centralized rhs. Create scatter scat_rhs for repeated use in MatSolve() */
1483     if (!mumps->myid) {
1484       ierr = VecCreateSeq(PETSC_COMM_SELF,A->cmap->N,&mumps->b_seq);CHKERRQ(ierr);
1485       ierr = ISCreateStride(PETSC_COMM_SELF,A->cmap->N,0,1,&is_iden);CHKERRQ(ierr);
1486     } else {
1487       ierr = VecCreateSeq(PETSC_COMM_SELF,0,&mumps->b_seq);CHKERRQ(ierr);
1488       ierr = ISCreateStride(PETSC_COMM_SELF,0,0,1,&is_iden);CHKERRQ(ierr);
1489     }
1490     ierr = MatCreateVecs(A,NULL,&b);CHKERRQ(ierr);
1491     ierr = VecScatterCreate(b,is_iden,mumps->b_seq,is_iden,&mumps->scat_rhs);CHKERRQ(ierr);
1492     ierr = ISDestroy(&is_iden);CHKERRQ(ierr);
1493     ierr = VecDestroy(&b);CHKERRQ(ierr);
1494     break;
1495   }
1496   PetscMUMPS_c(&mumps->id);
1497   ierr = MatFactorSymbolic_MUMPS_ReportIfError(F,A,info,mumps);CHKERRQ(ierr);
1498 
1499   F->ops->lufactornumeric = MatFactorNumeric_MUMPS;
1500   F->ops->solve           = MatSolve_MUMPS;
1501   F->ops->solvetranspose  = MatSolveTranspose_MUMPS;
1502   PetscFunctionReturn(0);
1503 }
1504 
1505 /* Note the Petsc r permutation and factor info are ignored */
1506 #undef __FUNCT__
1507 #define __FUNCT__ "MatCholeskyFactorSymbolic_MUMPS"
1508 PetscErrorCode MatCholeskyFactorSymbolic_MUMPS(Mat F,Mat A,IS r,const MatFactorInfo *info)
1509 {
1510   Mat_MUMPS      *mumps = (Mat_MUMPS*)F->data;
1511   PetscErrorCode ierr;
1512   Vec            b;
1513   IS             is_iden;
1514   const PetscInt M = A->rmap->N;
1515 
1516   PetscFunctionBegin;
1517   mumps->matstruc = DIFFERENT_NONZERO_PATTERN;
1518 
1519   /* Set MUMPS options from the options database */
1520   ierr = PetscSetMUMPSFromOptions(F,A);CHKERRQ(ierr);
1521 
1522   ierr = (*mumps->ConvertToTriples)(A, 1, MAT_INITIAL_MATRIX, &mumps->nz, &mumps->irn, &mumps->jcn, &mumps->val);CHKERRQ(ierr);
1523 
1524   /* analysis phase */
1525   /*----------------*/
1526   mumps->id.job = JOB_FACTSYMBOLIC;
1527   mumps->id.n   = M;
1528   switch (mumps->id.ICNTL(18)) {
1529   case 0:  /* centralized assembled matrix input */
1530     if (!mumps->myid) {
1531       mumps->id.nz =mumps->nz; mumps->id.irn=mumps->irn; mumps->id.jcn=mumps->jcn;
1532       if (mumps->id.ICNTL(6)>1) {
1533         mumps->id.a = (MumpsScalar*)mumps->val;
1534       }
1535     }
1536     break;
1537   case 3:  /* distributed assembled matrix input (size>1) */
1538     mumps->id.nz_loc = mumps->nz;
1539     mumps->id.irn_loc=mumps->irn; mumps->id.jcn_loc=mumps->jcn;
1540     if (mumps->id.ICNTL(6)>1) {
1541       mumps->id.a_loc = (MumpsScalar*)mumps->val;
1542     }
1543     /* MUMPS only supports centralized rhs. Create scatter scat_rhs for repeated use in MatSolve() */
1544     if (!mumps->myid) {
1545       ierr = VecCreateSeq(PETSC_COMM_SELF,A->cmap->N,&mumps->b_seq);CHKERRQ(ierr);
1546       ierr = ISCreateStride(PETSC_COMM_SELF,A->cmap->N,0,1,&is_iden);CHKERRQ(ierr);
1547     } else {
1548       ierr = VecCreateSeq(PETSC_COMM_SELF,0,&mumps->b_seq);CHKERRQ(ierr);
1549       ierr = ISCreateStride(PETSC_COMM_SELF,0,0,1,&is_iden);CHKERRQ(ierr);
1550     }
1551     ierr = MatCreateVecs(A,NULL,&b);CHKERRQ(ierr);
1552     ierr = VecScatterCreate(b,is_iden,mumps->b_seq,is_iden,&mumps->scat_rhs);CHKERRQ(ierr);
1553     ierr = ISDestroy(&is_iden);CHKERRQ(ierr);
1554     ierr = VecDestroy(&b);CHKERRQ(ierr);
1555     break;
1556   }
1557   PetscMUMPS_c(&mumps->id);
1558   ierr = MatFactorSymbolic_MUMPS_ReportIfError(F,A,info,mumps);CHKERRQ(ierr);
1559 
1560   F->ops->choleskyfactornumeric = MatFactorNumeric_MUMPS;
1561   F->ops->solve                 = MatSolve_MUMPS;
1562   F->ops->solvetranspose        = MatSolve_MUMPS;
1563   F->ops->matsolve              = MatMatSolve_MUMPS;
1564 #if defined(PETSC_USE_COMPLEX)
1565   F->ops->getinertia = NULL;
1566 #else
1567   F->ops->getinertia = MatGetInertia_SBAIJMUMPS;
1568 #endif
1569   PetscFunctionReturn(0);
1570 }
1571 
1572 #undef __FUNCT__
1573 #define __FUNCT__ "MatView_MUMPS"
1574 PetscErrorCode MatView_MUMPS(Mat A,PetscViewer viewer)
1575 {
1576   PetscErrorCode    ierr;
1577   PetscBool         iascii;
1578   PetscViewerFormat format;
1579   Mat_MUMPS         *mumps=(Mat_MUMPS*)A->data;
1580 
1581   PetscFunctionBegin;
1582   /* check if matrix is mumps type */
1583   if (A->ops->solve != MatSolve_MUMPS) PetscFunctionReturn(0);
1584 
1585   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&iascii);CHKERRQ(ierr);
1586   if (iascii) {
1587     ierr = PetscViewerGetFormat(viewer,&format);CHKERRQ(ierr);
1588     if (format == PETSC_VIEWER_ASCII_INFO) {
1589       ierr = PetscViewerASCIIPrintf(viewer,"MUMPS run parameters:\n");CHKERRQ(ierr);
1590       ierr = PetscViewerASCIIPrintf(viewer,"  SYM (matrix type):                   %d \n",mumps->id.sym);CHKERRQ(ierr);
1591       ierr = PetscViewerASCIIPrintf(viewer,"  PAR (host participation):            %d \n",mumps->id.par);CHKERRQ(ierr);
1592       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(1) (output for error):         %d \n",mumps->id.ICNTL(1));CHKERRQ(ierr);
1593       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(2) (output of diagnostic msg): %d \n",mumps->id.ICNTL(2));CHKERRQ(ierr);
1594       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(3) (output for global info):   %d \n",mumps->id.ICNTL(3));CHKERRQ(ierr);
1595       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(4) (level of printing):        %d \n",mumps->id.ICNTL(4));CHKERRQ(ierr);
1596       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(5) (input mat struct):         %d \n",mumps->id.ICNTL(5));CHKERRQ(ierr);
1597       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(6) (matrix prescaling):        %d \n",mumps->id.ICNTL(6));CHKERRQ(ierr);
1598       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(7) (sequentia matrix ordering):%d \n",mumps->id.ICNTL(7));CHKERRQ(ierr);
1599       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(8) (scalling strategy):        %d \n",mumps->id.ICNTL(8));CHKERRQ(ierr);
1600       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(10) (max num of refinements):  %d \n",mumps->id.ICNTL(10));CHKERRQ(ierr);
1601       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(11) (error analysis):          %d \n",mumps->id.ICNTL(11));CHKERRQ(ierr);
1602       if (mumps->id.ICNTL(11)>0) {
1603         ierr = PetscViewerASCIIPrintf(viewer,"    RINFOG(4) (inf norm of input mat):        %g\n",mumps->id.RINFOG(4));CHKERRQ(ierr);
1604         ierr = PetscViewerASCIIPrintf(viewer,"    RINFOG(5) (inf norm of solution):         %g\n",mumps->id.RINFOG(5));CHKERRQ(ierr);
1605         ierr = PetscViewerASCIIPrintf(viewer,"    RINFOG(6) (inf norm of residual):         %g\n",mumps->id.RINFOG(6));CHKERRQ(ierr);
1606         ierr = PetscViewerASCIIPrintf(viewer,"    RINFOG(7),RINFOG(8) (backward error est): %g, %g\n",mumps->id.RINFOG(7),mumps->id.RINFOG(8));CHKERRQ(ierr);
1607         ierr = PetscViewerASCIIPrintf(viewer,"    RINFOG(9) (error estimate):               %g \n",mumps->id.RINFOG(9));CHKERRQ(ierr);
1608         ierr = PetscViewerASCIIPrintf(viewer,"    RINFOG(10),RINFOG(11)(condition numbers): %g, %g\n",mumps->id.RINFOG(10),mumps->id.RINFOG(11));CHKERRQ(ierr);
1609       }
1610       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(12) (efficiency control):                         %d \n",mumps->id.ICNTL(12));CHKERRQ(ierr);
1611       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(13) (efficiency control):                         %d \n",mumps->id.ICNTL(13));CHKERRQ(ierr);
1612       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(14) (percentage of estimated workspace increase): %d \n",mumps->id.ICNTL(14));CHKERRQ(ierr);
1613       /* ICNTL(15-17) not used */
1614       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(18) (input mat struct):                           %d \n",mumps->id.ICNTL(18));CHKERRQ(ierr);
1615       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(19) (Shur complement info):                       %d \n",mumps->id.ICNTL(19));CHKERRQ(ierr);
1616       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(20) (rhs sparse pattern):                         %d \n",mumps->id.ICNTL(20));CHKERRQ(ierr);
1617       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(21) (solution struct):                            %d \n",mumps->id.ICNTL(21));CHKERRQ(ierr);
1618       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(22) (in-core/out-of-core facility):               %d \n",mumps->id.ICNTL(22));CHKERRQ(ierr);
1619       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(23) (max size of memory can be allocated locally):%d \n",mumps->id.ICNTL(23));CHKERRQ(ierr);
1620 
1621       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(24) (detection of null pivot rows):               %d \n",mumps->id.ICNTL(24));CHKERRQ(ierr);
1622       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(25) (computation of a null space basis):          %d \n",mumps->id.ICNTL(25));CHKERRQ(ierr);
1623       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(26) (Schur options for rhs or solution):          %d \n",mumps->id.ICNTL(26));CHKERRQ(ierr);
1624       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(27) (experimental parameter):                     %d \n",mumps->id.ICNTL(27));CHKERRQ(ierr);
1625       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(28) (use parallel or sequential ordering):        %d \n",mumps->id.ICNTL(28));CHKERRQ(ierr);
1626       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(29) (parallel ordering):                          %d \n",mumps->id.ICNTL(29));CHKERRQ(ierr);
1627 
1628       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(30) (user-specified set of entries in inv(A)):    %d \n",mumps->id.ICNTL(30));CHKERRQ(ierr);
1629       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(31) (factors is discarded in the solve phase):    %d \n",mumps->id.ICNTL(31));CHKERRQ(ierr);
1630       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(33) (compute determinant):                        %d \n",mumps->id.ICNTL(33));CHKERRQ(ierr);
1631 
1632       ierr = PetscViewerASCIIPrintf(viewer,"  CNTL(1) (relative pivoting threshold):      %g \n",mumps->id.CNTL(1));CHKERRQ(ierr);
1633       ierr = PetscViewerASCIIPrintf(viewer,"  CNTL(2) (stopping criterion of refinement): %g \n",mumps->id.CNTL(2));CHKERRQ(ierr);
1634       ierr = PetscViewerASCIIPrintf(viewer,"  CNTL(3) (absolute pivoting threshold):      %g \n",mumps->id.CNTL(3));CHKERRQ(ierr);
1635       ierr = PetscViewerASCIIPrintf(viewer,"  CNTL(4) (value of static pivoting):         %g \n",mumps->id.CNTL(4));CHKERRQ(ierr);
1636       ierr = PetscViewerASCIIPrintf(viewer,"  CNTL(5) (fixation for null pivots):         %g \n",mumps->id.CNTL(5));CHKERRQ(ierr);
1637 
1638       /* infomation local to each processor */
1639       ierr = PetscViewerASCIIPrintf(viewer, "  RINFO(1) (local estimated flops for the elimination after analysis): \n");CHKERRQ(ierr);
1640       ierr = PetscViewerASCIIPushSynchronized(viewer);CHKERRQ(ierr);
1641       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"    [%d] %g \n",mumps->myid,mumps->id.RINFO(1));CHKERRQ(ierr);
1642       ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
1643       ierr = PetscViewerASCIIPrintf(viewer, "  RINFO(2) (local estimated flops for the assembly after factorization): \n");CHKERRQ(ierr);
1644       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"    [%d]  %g \n",mumps->myid,mumps->id.RINFO(2));CHKERRQ(ierr);
1645       ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
1646       ierr = PetscViewerASCIIPrintf(viewer, "  RINFO(3) (local estimated flops for the elimination after factorization): \n");CHKERRQ(ierr);
1647       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"    [%d]  %g \n",mumps->myid,mumps->id.RINFO(3));CHKERRQ(ierr);
1648       ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
1649 
1650       ierr = PetscViewerASCIIPrintf(viewer, "  INFO(15) (estimated size of (in MB) MUMPS internal data for running numerical factorization): \n");CHKERRQ(ierr);
1651       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"  [%d] %d \n",mumps->myid,mumps->id.INFO(15));CHKERRQ(ierr);
1652       ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
1653 
1654       ierr = PetscViewerASCIIPrintf(viewer, "  INFO(16) (size of (in MB) MUMPS internal data used during numerical factorization): \n");CHKERRQ(ierr);
1655       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"    [%d] %d \n",mumps->myid,mumps->id.INFO(16));CHKERRQ(ierr);
1656       ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
1657 
1658       ierr = PetscViewerASCIIPrintf(viewer, "  INFO(23) (num of pivots eliminated on this processor after factorization): \n");CHKERRQ(ierr);
1659       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"    [%d] %d \n",mumps->myid,mumps->id.INFO(23));CHKERRQ(ierr);
1660       ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
1661 
1662       if (mumps->ninfo && mumps->ninfo <= 40){
1663         PetscInt i;
1664         for (i=0; i<mumps->ninfo; i++){
1665           ierr = PetscViewerASCIIPrintf(viewer, "  INFO(%d): \n",mumps->info[i]);CHKERRQ(ierr);
1666           ierr = PetscViewerASCIISynchronizedPrintf(viewer,"    [%d] %d \n",mumps->myid,mumps->id.INFO(mumps->info[i]));CHKERRQ(ierr);
1667           ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
1668         }
1669       }
1670 
1671 
1672       ierr = PetscViewerASCIIPopSynchronized(viewer);CHKERRQ(ierr);
1673 
1674       if (!mumps->myid) { /* information from the host */
1675         ierr = PetscViewerASCIIPrintf(viewer,"  RINFOG(1) (global estimated flops for the elimination after analysis): %g \n",mumps->id.RINFOG(1));CHKERRQ(ierr);
1676         ierr = PetscViewerASCIIPrintf(viewer,"  RINFOG(2) (global estimated flops for the assembly after factorization): %g \n",mumps->id.RINFOG(2));CHKERRQ(ierr);
1677         ierr = PetscViewerASCIIPrintf(viewer,"  RINFOG(3) (global estimated flops for the elimination after factorization): %g \n",mumps->id.RINFOG(3));CHKERRQ(ierr);
1678         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);
1679 
1680         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(3) (estimated real workspace for factors on all processors after analysis): %d \n",mumps->id.INFOG(3));CHKERRQ(ierr);
1681         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(4) (estimated integer workspace for factors on all processors after analysis): %d \n",mumps->id.INFOG(4));CHKERRQ(ierr);
1682         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(5) (estimated maximum front size in the complete tree): %d \n",mumps->id.INFOG(5));CHKERRQ(ierr);
1683         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(6) (number of nodes in the complete tree): %d \n",mumps->id.INFOG(6));CHKERRQ(ierr);
1684         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(7) (ordering option effectively use after analysis): %d \n",mumps->id.INFOG(7));CHKERRQ(ierr);
1685         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(8) (structural symmetry in percent of the permuted matrix after analysis): %d \n",mumps->id.INFOG(8));CHKERRQ(ierr);
1686         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(9) (total real/complex workspace to store the matrix factors after factorization): %d \n",mumps->id.INFOG(9));CHKERRQ(ierr);
1687         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(10) (total integer space store the matrix factors after factorization): %d \n",mumps->id.INFOG(10));CHKERRQ(ierr);
1688         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(11) (order of largest frontal matrix after factorization): %d \n",mumps->id.INFOG(11));CHKERRQ(ierr);
1689         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(12) (number of off-diagonal pivots): %d \n",mumps->id.INFOG(12));CHKERRQ(ierr);
1690         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(13) (number of delayed pivots after factorization): %d \n",mumps->id.INFOG(13));CHKERRQ(ierr);
1691         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(14) (number of memory compress after factorization): %d \n",mumps->id.INFOG(14));CHKERRQ(ierr);
1692         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(15) (number of steps of iterative refinement after solution): %d \n",mumps->id.INFOG(15));CHKERRQ(ierr);
1693         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);
1694         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);
1695         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);
1696         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);
1697         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(20) (estimated number of entries in the factors): %d \n",mumps->id.INFOG(20));CHKERRQ(ierr);
1698         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);
1699         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);
1700         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(23) (after analysis: value of ICNTL(6) effectively used): %d \n",mumps->id.INFOG(23));CHKERRQ(ierr);
1701         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(24) (after analysis: value of ICNTL(12) effectively used): %d \n",mumps->id.INFOG(24));CHKERRQ(ierr);
1702         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(25) (after factorization: number of pivots modified by static pivoting): %d \n",mumps->id.INFOG(25));CHKERRQ(ierr);
1703         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(28) (after factorization: number of null pivots encountered): %d\n",mumps->id.INFOG(28));CHKERRQ(ierr);
1704         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);
1705         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);
1706         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(32) (after analysis: type of analysis done): %d\n",mumps->id.INFOG(32));CHKERRQ(ierr);
1707         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(33) (value used for ICNTL(8)): %d\n",mumps->id.INFOG(33));CHKERRQ(ierr);
1708         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(34) (exponent of the determinant if determinant is requested): %d\n",mumps->id.INFOG(34));CHKERRQ(ierr);
1709       }
1710     }
1711   }
1712   PetscFunctionReturn(0);
1713 }
1714 
1715 #undef __FUNCT__
1716 #define __FUNCT__ "MatGetInfo_MUMPS"
1717 PetscErrorCode MatGetInfo_MUMPS(Mat A,MatInfoType flag,MatInfo *info)
1718 {
1719   Mat_MUMPS *mumps =(Mat_MUMPS*)A->data;
1720 
1721   PetscFunctionBegin;
1722   info->block_size        = 1.0;
1723   info->nz_allocated      = mumps->id.INFOG(20);
1724   info->nz_used           = mumps->id.INFOG(20);
1725   info->nz_unneeded       = 0.0;
1726   info->assemblies        = 0.0;
1727   info->mallocs           = 0.0;
1728   info->memory            = 0.0;
1729   info->fill_ratio_given  = 0;
1730   info->fill_ratio_needed = 0;
1731   info->factor_mallocs    = 0;
1732   PetscFunctionReturn(0);
1733 }
1734 
1735 /* -------------------------------------------------------------------------------------------*/
1736 #undef __FUNCT__
1737 #define __FUNCT__ "MatFactorSetSchurIS_MUMPS"
1738 PetscErrorCode MatFactorSetSchurIS_MUMPS(Mat F, IS is)
1739 {
1740   Mat_MUMPS      *mumps =(Mat_MUMPS*)F->data;
1741   const PetscInt *idxs;
1742   PetscInt       size,i;
1743   PetscErrorCode ierr;
1744 
1745   PetscFunctionBegin;
1746   if (mumps->size > 1) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"MUMPS parallel Schur complements not yet supported from PETSc\n");
1747   ierr = ISGetLocalSize(is,&size);CHKERRQ(ierr);
1748   if (mumps->id.size_schur != size) {
1749     ierr = PetscFree2(mumps->id.listvar_schur,mumps->id.schur);CHKERRQ(ierr);
1750     mumps->id.size_schur = size;
1751     mumps->id.schur_lld = size;
1752     ierr = PetscMalloc2(size,&mumps->id.listvar_schur,size*size,&mumps->id.schur);CHKERRQ(ierr);
1753   }
1754   ierr = ISGetIndices(is,&idxs);CHKERRQ(ierr);
1755   ierr = PetscMemcpy(mumps->id.listvar_schur,idxs,size*sizeof(PetscInt));CHKERRQ(ierr);
1756   /* MUMPS expects Fortran style indices */
1757   for (i=0;i<size;i++) mumps->id.listvar_schur[i]++;
1758   ierr = ISRestoreIndices(is,&idxs);CHKERRQ(ierr);
1759   if (size) { /* turn on Schur switch if we the set of indices is not empty */
1760     if (F->factortype == MAT_FACTOR_LU) {
1761       mumps->id.ICNTL(19) = 3; /* MUMPS returns full matrix */
1762     } else {
1763       mumps->id.ICNTL(19) = 2; /* MUMPS returns lower triangular part */
1764     }
1765     /* set a special value of ICNTL (not handled my MUMPS) to be used in the solve phase by PETSc */
1766     mumps->id.ICNTL(26) = -1;
1767   }
1768   PetscFunctionReturn(0);
1769 }
1770 
1771 /* -------------------------------------------------------------------------------------------*/
1772 #undef __FUNCT__
1773 #define __FUNCT__ "MatFactorCreateSchurComplement_MUMPS"
1774 PetscErrorCode MatFactorCreateSchurComplement_MUMPS(Mat F,Mat* S)
1775 {
1776   Mat            St;
1777   Mat_MUMPS      *mumps =(Mat_MUMPS*)F->data;
1778   PetscScalar    *array;
1779 #if defined(PETSC_USE_COMPLEX)
1780   PetscScalar    im = PetscSqrtScalar((PetscScalar)-1.0);
1781 #endif
1782   PetscErrorCode ierr;
1783 
1784   PetscFunctionBegin;
1785   if (!mumps->id.ICNTL(19)) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur complement mode not selected! You should call MatFactorSetSchurIS to enable it");
1786   else if (!mumps->id.size_schur) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur indices not set! You should call MatFactorSetSchurIS before");
1787 
1788   ierr = MatCreate(PetscObjectComm((PetscObject)F),&St);CHKERRQ(ierr);
1789   ierr = MatSetSizes(St,PETSC_DECIDE,PETSC_DECIDE,mumps->id.size_schur,mumps->id.size_schur);CHKERRQ(ierr);
1790   ierr = MatSetType(St,MATDENSE);CHKERRQ(ierr);
1791   ierr = MatSetUp(St);CHKERRQ(ierr);
1792   ierr = MatDenseGetArray(St,&array);CHKERRQ(ierr);
1793   if (!mumps->sym) { /* MUMPS always return a full matrix */
1794     if (mumps->id.ICNTL(19) == 1) { /* stored by rows */
1795       PetscInt i,j,N=mumps->id.size_schur;
1796       for (i=0;i<N;i++) {
1797         for (j=0;j<N;j++) {
1798 #if !defined(PETSC_USE_COMPLEX)
1799           PetscScalar val = mumps->id.schur[i*N+j];
1800 #else
1801           PetscScalar val = mumps->id.schur[i*N+j].r + im*mumps->id.schur[i*N+j].i;
1802 #endif
1803           array[j*N+i] = val;
1804         }
1805       }
1806     } else { /* stored by columns */
1807       ierr = PetscMemcpy(array,mumps->id.schur,mumps->id.size_schur*mumps->id.size_schur*sizeof(PetscScalar));CHKERRQ(ierr);
1808     }
1809   } else { /* either full or lower-triangular (not packed) */
1810     if (mumps->id.ICNTL(19) == 2) { /* lower triangular stored by columns */
1811       PetscInt i,j,N=mumps->id.size_schur;
1812       for (i=0;i<N;i++) {
1813         for (j=i;j<N;j++) {
1814 #if !defined(PETSC_USE_COMPLEX)
1815           PetscScalar val = mumps->id.schur[i*N+j];
1816 #else
1817           PetscScalar val = mumps->id.schur[i*N+j].r + im*mumps->id.schur[i*N+j].i;
1818 #endif
1819           array[i*N+j] = val;
1820           array[j*N+i] = val;
1821         }
1822       }
1823     } else if (mumps->id.ICNTL(19) == 3) { /* full matrix */
1824       ierr = PetscMemcpy(array,mumps->id.schur,mumps->id.size_schur*mumps->id.size_schur*sizeof(PetscScalar));CHKERRQ(ierr);
1825     } else { /* ICNTL(19) == 1 lower triangular stored by rows */
1826       PetscInt i,j,N=mumps->id.size_schur;
1827       for (i=0;i<N;i++) {
1828         for (j=0;j<i+1;j++) {
1829 #if !defined(PETSC_USE_COMPLEX)
1830           PetscScalar val = mumps->id.schur[i*N+j];
1831 #else
1832           PetscScalar val = mumps->id.schur[i*N+j].r + im*mumps->id.schur[i*N+j].i;
1833 #endif
1834           array[i*N+j] = val;
1835           array[j*N+i] = val;
1836         }
1837       }
1838     }
1839   }
1840   ierr = MatDenseRestoreArray(St,&array);CHKERRQ(ierr);
1841   *S = St;
1842   PetscFunctionReturn(0);
1843 }
1844 
1845 /* -------------------------------------------------------------------------------------------*/
1846 #undef __FUNCT__
1847 #define __FUNCT__ "MatFactorGetSchurComplement_MUMPS"
1848 PetscErrorCode MatFactorGetSchurComplement_MUMPS(Mat F,Mat* S)
1849 {
1850   Mat            St;
1851   Mat_MUMPS      *mumps =(Mat_MUMPS*)F->data;
1852   PetscErrorCode ierr;
1853 
1854   PetscFunctionBegin;
1855   if (!mumps->id.ICNTL(19)) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur complement mode not selected! You should call MatFactorSetSchurIS to enable it");
1856   else if (!mumps->id.size_schur) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur indices not set! You should call MatFactorSetSchurIS before");
1857 
1858   /* It should be the responsibility of the user to handle different ICNTL(19) cases and factorization stages if they want to work with the raw data */
1859   ierr = MatCreateSeqDense(PetscObjectComm((PetscObject)F),mumps->id.size_schur,mumps->id.size_schur,(PetscScalar*)mumps->id.schur,&St);CHKERRQ(ierr);
1860   *S = St;
1861   PetscFunctionReturn(0);
1862 }
1863 
1864 /* -------------------------------------------------------------------------------------------*/
1865 #undef __FUNCT__
1866 #define __FUNCT__ "MatFactorInvertSchurComplement_MUMPS"
1867 PetscErrorCode MatFactorInvertSchurComplement_MUMPS(Mat F)
1868 {
1869   Mat_MUMPS      *mumps =(Mat_MUMPS*)F->data;
1870   PetscErrorCode ierr;
1871 
1872   PetscFunctionBegin;
1873   if (!mumps->id.ICNTL(19)) { /* do nothing */
1874     PetscFunctionReturn(0);
1875   }
1876   if (!mumps->id.size_schur) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur indices not set! You should call MatFactorSetSchurIS before");
1877   ierr = MatMumpsInvertSchur_Private(mumps);CHKERRQ(ierr);
1878   PetscFunctionReturn(0);
1879 }
1880 
1881 /* -------------------------------------------------------------------------------------------*/
1882 #undef __FUNCT__
1883 #define __FUNCT__ "MatFactorSolveSchurComplement_MUMPS"
1884 PetscErrorCode MatFactorSolveSchurComplement_MUMPS(Mat F, Vec rhs, Vec sol)
1885 {
1886   Mat_MUMPS      *mumps =(Mat_MUMPS*)F->data;
1887   MumpsScalar    *orhs;
1888   PetscScalar    *osol,*nrhs,*nsol;
1889   PetscInt       orhs_size,osol_size,olrhs_size;
1890   PetscErrorCode ierr;
1891 
1892   PetscFunctionBegin;
1893   if (!mumps->id.ICNTL(19)) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur complement mode not selected! You should call MatFactorSetSchurIS to enable it");
1894   if (!mumps->id.size_schur) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur indices not set! You should call MatFactorSetSchurIS before");
1895 
1896   /* swap pointers */
1897   orhs = mumps->id.redrhs;
1898   olrhs_size = mumps->id.lredrhs;
1899   orhs_size = mumps->sizeredrhs;
1900   osol = mumps->schur_sol;
1901   osol_size = mumps->schur_sizesol;
1902   ierr = VecGetArray(rhs,&nrhs);CHKERRQ(ierr);
1903   ierr = VecGetArray(sol,&nsol);CHKERRQ(ierr);
1904   mumps->id.redrhs = (MumpsScalar*)nrhs;
1905   ierr = VecGetLocalSize(rhs,&mumps->sizeredrhs);CHKERRQ(ierr);
1906   mumps->id.lredrhs = mumps->sizeredrhs;
1907   mumps->schur_sol = nsol;
1908   ierr = VecGetLocalSize(sol,&mumps->schur_sizesol);CHKERRQ(ierr);
1909 
1910   /* solve Schur complement */
1911   mumps->id.nrhs = 1;
1912   ierr = MatMumpsSolveSchur_Private(mumps,PETSC_FALSE);CHKERRQ(ierr);
1913   /* restore pointers */
1914   ierr = VecRestoreArray(rhs,&nrhs);CHKERRQ(ierr);
1915   ierr = VecRestoreArray(sol,&nsol);CHKERRQ(ierr);
1916   mumps->id.redrhs = orhs;
1917   mumps->id.lredrhs = olrhs_size;
1918   mumps->sizeredrhs = orhs_size;
1919   mumps->schur_sol = osol;
1920   mumps->schur_sizesol = osol_size;
1921   PetscFunctionReturn(0);
1922 }
1923 
1924 /* -------------------------------------------------------------------------------------------*/
1925 #undef __FUNCT__
1926 #define __FUNCT__ "MatFactorSolveSchurComplementTranspose_MUMPS"
1927 PetscErrorCode MatFactorSolveSchurComplementTranspose_MUMPS(Mat F, Vec rhs, Vec sol)
1928 {
1929   Mat_MUMPS      *mumps =(Mat_MUMPS*)F->data;
1930   MumpsScalar    *orhs;
1931   PetscScalar    *osol,*nrhs,*nsol;
1932   PetscInt       orhs_size,osol_size;
1933   PetscErrorCode ierr;
1934 
1935   PetscFunctionBegin;
1936   if (!mumps->id.ICNTL(19)) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur complement mode not selected! You should call MatFactorSetSchurIS to enable it");
1937   else if (!mumps->id.size_schur) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur indices not set! You should call MatFactorSetSchurIS before");
1938 
1939   /* swap pointers */
1940   orhs = mumps->id.redrhs;
1941   orhs_size = mumps->sizeredrhs;
1942   osol = mumps->schur_sol;
1943   osol_size = mumps->schur_sizesol;
1944   ierr = VecGetArray(rhs,&nrhs);CHKERRQ(ierr);
1945   ierr = VecGetArray(sol,&nsol);CHKERRQ(ierr);
1946   mumps->id.redrhs = (MumpsScalar*)nrhs;
1947   ierr = VecGetLocalSize(rhs,&mumps->sizeredrhs);CHKERRQ(ierr);
1948   mumps->schur_sol = nsol;
1949   ierr = VecGetLocalSize(sol,&mumps->schur_sizesol);CHKERRQ(ierr);
1950 
1951   /* solve Schur complement */
1952   mumps->id.nrhs = 1;
1953   mumps->id.ICNTL(9) = 0;
1954   ierr = MatMumpsSolveSchur_Private(mumps,PETSC_FALSE);CHKERRQ(ierr);
1955   mumps->id.ICNTL(9) = 1;
1956   /* restore pointers */
1957   ierr = VecRestoreArray(rhs,&nrhs);CHKERRQ(ierr);
1958   ierr = VecRestoreArray(sol,&nsol);CHKERRQ(ierr);
1959   mumps->id.redrhs = orhs;
1960   mumps->sizeredrhs = orhs_size;
1961   mumps->schur_sol = osol;
1962   mumps->schur_sizesol = osol_size;
1963   PetscFunctionReturn(0);
1964 }
1965 
1966 /* -------------------------------------------------------------------------------------------*/
1967 #undef __FUNCT__
1968 #define __FUNCT__ "MatMumpsSetIcntl_MUMPS"
1969 PetscErrorCode MatMumpsSetIcntl_MUMPS(Mat F,PetscInt icntl,PetscInt ival)
1970 {
1971   Mat_MUMPS *mumps =(Mat_MUMPS*)F->data;
1972 
1973   PetscFunctionBegin;
1974   mumps->id.ICNTL(icntl) = ival;
1975   PetscFunctionReturn(0);
1976 }
1977 
1978 #undef __FUNCT__
1979 #define __FUNCT__ "MatMumpsGetIcntl_MUMPS"
1980 PetscErrorCode MatMumpsGetIcntl_MUMPS(Mat F,PetscInt icntl,PetscInt *ival)
1981 {
1982   Mat_MUMPS *mumps =(Mat_MUMPS*)F->data;
1983 
1984   PetscFunctionBegin;
1985   *ival = mumps->id.ICNTL(icntl);
1986   PetscFunctionReturn(0);
1987 }
1988 
1989 #undef __FUNCT__
1990 #define __FUNCT__ "MatMumpsSetIcntl"
1991 /*@
1992   MatMumpsSetIcntl - Set MUMPS parameter ICNTL()
1993 
1994    Logically Collective on Mat
1995 
1996    Input Parameters:
1997 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
1998 .  icntl - index of MUMPS parameter array ICNTL()
1999 -  ival - value of MUMPS ICNTL(icntl)
2000 
2001   Options Database:
2002 .   -mat_mumps_icntl_<icntl> <ival>
2003 
2004    Level: beginner
2005 
2006    References:
2007 .     MUMPS Users' Guide
2008 
2009 .seealso: MatGetFactor(), MatMumpsSetICntl(), MatMumpsGetIcntl(), MatMumpsSetCntl(), MatMumpsGetCntl(), MatMumpsGetInfo(), MatMumpsGetInfog(), MatMumpsGetRinfo(), MatMumpsGetRinfog()
2010  @*/
2011 PetscErrorCode MatMumpsSetIcntl(Mat F,PetscInt icntl,PetscInt ival)
2012 {
2013   PetscErrorCode ierr;
2014 
2015   PetscFunctionBegin;
2016   PetscValidType(F,1);
2017   if (!F->factortype) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ARG_WRONGSTATE,"Only for factored matrix");
2018   PetscValidLogicalCollectiveInt(F,icntl,2);
2019   PetscValidLogicalCollectiveInt(F,ival,3);
2020   ierr = PetscTryMethod(F,"MatMumpsSetIcntl_C",(Mat,PetscInt,PetscInt),(F,icntl,ival));CHKERRQ(ierr);
2021   PetscFunctionReturn(0);
2022 }
2023 
2024 #undef __FUNCT__
2025 #define __FUNCT__ "MatMumpsGetIcntl"
2026 /*@
2027   MatMumpsGetIcntl - Get MUMPS parameter ICNTL()
2028 
2029    Logically Collective on Mat
2030 
2031    Input Parameters:
2032 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
2033 -  icntl - index of MUMPS parameter array ICNTL()
2034 
2035   Output Parameter:
2036 .  ival - value of MUMPS ICNTL(icntl)
2037 
2038    Level: beginner
2039 
2040    References:
2041 .     MUMPS Users' Guide
2042 
2043 .seealso: MatGetFactor(), MatMumpsSetICntl(), MatMumpsGetIcntl(), MatMumpsSetCntl(), MatMumpsGetCntl(), MatMumpsGetInfo(), MatMumpsGetInfog(), MatMumpsGetRinfo(), MatMumpsGetRinfog()
2044 @*/
2045 PetscErrorCode MatMumpsGetIcntl(Mat F,PetscInt icntl,PetscInt *ival)
2046 {
2047   PetscErrorCode ierr;
2048 
2049   PetscFunctionBegin;
2050   PetscValidType(F,1);
2051   if (!F->factortype) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ARG_WRONGSTATE,"Only for factored matrix");
2052   PetscValidLogicalCollectiveInt(F,icntl,2);
2053   PetscValidIntPointer(ival,3);
2054   ierr = PetscUseMethod(F,"MatMumpsGetIcntl_C",(Mat,PetscInt,PetscInt*),(F,icntl,ival));CHKERRQ(ierr);
2055   PetscFunctionReturn(0);
2056 }
2057 
2058 /* -------------------------------------------------------------------------------------------*/
2059 #undef __FUNCT__
2060 #define __FUNCT__ "MatMumpsSetCntl_MUMPS"
2061 PetscErrorCode MatMumpsSetCntl_MUMPS(Mat F,PetscInt icntl,PetscReal val)
2062 {
2063   Mat_MUMPS *mumps =(Mat_MUMPS*)F->data;
2064 
2065   PetscFunctionBegin;
2066   mumps->id.CNTL(icntl) = val;
2067   PetscFunctionReturn(0);
2068 }
2069 
2070 #undef __FUNCT__
2071 #define __FUNCT__ "MatMumpsGetCntl_MUMPS"
2072 PetscErrorCode MatMumpsGetCntl_MUMPS(Mat F,PetscInt icntl,PetscReal *val)
2073 {
2074   Mat_MUMPS *mumps =(Mat_MUMPS*)F->data;
2075 
2076   PetscFunctionBegin;
2077   *val = mumps->id.CNTL(icntl);
2078   PetscFunctionReturn(0);
2079 }
2080 
2081 #undef __FUNCT__
2082 #define __FUNCT__ "MatMumpsSetCntl"
2083 /*@
2084   MatMumpsSetCntl - Set MUMPS parameter CNTL()
2085 
2086    Logically Collective on Mat
2087 
2088    Input Parameters:
2089 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
2090 .  icntl - index of MUMPS parameter array CNTL()
2091 -  val - value of MUMPS CNTL(icntl)
2092 
2093   Options Database:
2094 .   -mat_mumps_cntl_<icntl> <val>
2095 
2096    Level: beginner
2097 
2098    References:
2099 .     MUMPS Users' Guide
2100 
2101 .seealso: MatGetFactor(), MatMumpsSetICntl(), MatMumpsGetIcntl(), MatMumpsSetCntl(), MatMumpsGetCntl(), MatMumpsGetInfo(), MatMumpsGetInfog(), MatMumpsGetRinfo(), MatMumpsGetRinfog()
2102 @*/
2103 PetscErrorCode MatMumpsSetCntl(Mat F,PetscInt icntl,PetscReal val)
2104 {
2105   PetscErrorCode ierr;
2106 
2107   PetscFunctionBegin;
2108   PetscValidType(F,1);
2109   if (!F->factortype) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ARG_WRONGSTATE,"Only for factored matrix");
2110   PetscValidLogicalCollectiveInt(F,icntl,2);
2111   PetscValidLogicalCollectiveReal(F,val,3);
2112   ierr = PetscTryMethod(F,"MatMumpsSetCntl_C",(Mat,PetscInt,PetscReal),(F,icntl,val));CHKERRQ(ierr);
2113   PetscFunctionReturn(0);
2114 }
2115 
2116 #undef __FUNCT__
2117 #define __FUNCT__ "MatMumpsGetCntl"
2118 /*@
2119   MatMumpsGetCntl - Get MUMPS parameter CNTL()
2120 
2121    Logically Collective on Mat
2122 
2123    Input Parameters:
2124 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
2125 -  icntl - index of MUMPS parameter array CNTL()
2126 
2127   Output Parameter:
2128 .  val - value of MUMPS CNTL(icntl)
2129 
2130    Level: beginner
2131 
2132    References:
2133 .      MUMPS Users' Guide
2134 
2135 .seealso: MatGetFactor(), MatMumpsSetICntl(), MatMumpsGetIcntl(), MatMumpsSetCntl(), MatMumpsGetCntl(), MatMumpsGetInfo(), MatMumpsGetInfog(), MatMumpsGetRinfo(), MatMumpsGetRinfog()
2136 @*/
2137 PetscErrorCode MatMumpsGetCntl(Mat F,PetscInt icntl,PetscReal *val)
2138 {
2139   PetscErrorCode ierr;
2140 
2141   PetscFunctionBegin;
2142   PetscValidType(F,1);
2143   if (!F->factortype) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ARG_WRONGSTATE,"Only for factored matrix");
2144   PetscValidLogicalCollectiveInt(F,icntl,2);
2145   PetscValidRealPointer(val,3);
2146   ierr = PetscUseMethod(F,"MatMumpsGetCntl_C",(Mat,PetscInt,PetscReal*),(F,icntl,val));CHKERRQ(ierr);
2147   PetscFunctionReturn(0);
2148 }
2149 
2150 #undef __FUNCT__
2151 #define __FUNCT__ "MatMumpsGetInfo_MUMPS"
2152 PetscErrorCode MatMumpsGetInfo_MUMPS(Mat F,PetscInt icntl,PetscInt *info)
2153 {
2154   Mat_MUMPS *mumps =(Mat_MUMPS*)F->data;
2155 
2156   PetscFunctionBegin;
2157   *info = mumps->id.INFO(icntl);
2158   PetscFunctionReturn(0);
2159 }
2160 
2161 #undef __FUNCT__
2162 #define __FUNCT__ "MatMumpsGetInfog_MUMPS"
2163 PetscErrorCode MatMumpsGetInfog_MUMPS(Mat F,PetscInt icntl,PetscInt *infog)
2164 {
2165   Mat_MUMPS *mumps =(Mat_MUMPS*)F->data;
2166 
2167   PetscFunctionBegin;
2168   *infog = mumps->id.INFOG(icntl);
2169   PetscFunctionReturn(0);
2170 }
2171 
2172 #undef __FUNCT__
2173 #define __FUNCT__ "MatMumpsGetRinfo_MUMPS"
2174 PetscErrorCode MatMumpsGetRinfo_MUMPS(Mat F,PetscInt icntl,PetscReal *rinfo)
2175 {
2176   Mat_MUMPS *mumps =(Mat_MUMPS*)F->data;
2177 
2178   PetscFunctionBegin;
2179   *rinfo = mumps->id.RINFO(icntl);
2180   PetscFunctionReturn(0);
2181 }
2182 
2183 #undef __FUNCT__
2184 #define __FUNCT__ "MatMumpsGetRinfog_MUMPS"
2185 PetscErrorCode MatMumpsGetRinfog_MUMPS(Mat F,PetscInt icntl,PetscReal *rinfog)
2186 {
2187   Mat_MUMPS *mumps =(Mat_MUMPS*)F->data;
2188 
2189   PetscFunctionBegin;
2190   *rinfog = mumps->id.RINFOG(icntl);
2191   PetscFunctionReturn(0);
2192 }
2193 
2194 #undef __FUNCT__
2195 #define __FUNCT__ "MatMumpsGetInfo"
2196 /*@
2197   MatMumpsGetInfo - Get MUMPS parameter INFO()
2198 
2199    Logically Collective on Mat
2200 
2201    Input Parameters:
2202 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
2203 -  icntl - index of MUMPS parameter array INFO()
2204 
2205   Output Parameter:
2206 .  ival - value of MUMPS INFO(icntl)
2207 
2208    Level: beginner
2209 
2210    References:
2211 .      MUMPS Users' Guide
2212 
2213 .seealso: MatGetFactor(), MatMumpsSetICntl(), MatMumpsGetIcntl(), MatMumpsSetCntl(), MatMumpsGetCntl(), MatMumpsGetInfo(), MatMumpsGetInfog(), MatMumpsGetRinfo(), MatMumpsGetRinfog()
2214 @*/
2215 PetscErrorCode MatMumpsGetInfo(Mat F,PetscInt icntl,PetscInt *ival)
2216 {
2217   PetscErrorCode ierr;
2218 
2219   PetscFunctionBegin;
2220   PetscValidType(F,1);
2221   if (!F->factortype) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ARG_WRONGSTATE,"Only for factored matrix");
2222   PetscValidIntPointer(ival,3);
2223   ierr = PetscUseMethod(F,"MatMumpsGetInfo_C",(Mat,PetscInt,PetscInt*),(F,icntl,ival));CHKERRQ(ierr);
2224   PetscFunctionReturn(0);
2225 }
2226 
2227 #undef __FUNCT__
2228 #define __FUNCT__ "MatMumpsGetInfog"
2229 /*@
2230   MatMumpsGetInfog - Get MUMPS parameter INFOG()
2231 
2232    Logically Collective on Mat
2233 
2234    Input Parameters:
2235 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
2236 -  icntl - index of MUMPS parameter array INFOG()
2237 
2238   Output Parameter:
2239 .  ival - value of MUMPS INFOG(icntl)
2240 
2241    Level: beginner
2242 
2243    References:
2244 .      MUMPS Users' Guide
2245 
2246 .seealso: MatGetFactor(), MatMumpsSetICntl(), MatMumpsGetIcntl(), MatMumpsSetCntl(), MatMumpsGetCntl(), MatMumpsGetInfo(), MatMumpsGetInfog(), MatMumpsGetRinfo(), MatMumpsGetRinfog()
2247 @*/
2248 PetscErrorCode MatMumpsGetInfog(Mat F,PetscInt icntl,PetscInt *ival)
2249 {
2250   PetscErrorCode ierr;
2251 
2252   PetscFunctionBegin;
2253   PetscValidType(F,1);
2254   if (!F->factortype) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ARG_WRONGSTATE,"Only for factored matrix");
2255   PetscValidIntPointer(ival,3);
2256   ierr = PetscUseMethod(F,"MatMumpsGetInfog_C",(Mat,PetscInt,PetscInt*),(F,icntl,ival));CHKERRQ(ierr);
2257   PetscFunctionReturn(0);
2258 }
2259 
2260 #undef __FUNCT__
2261 #define __FUNCT__ "MatMumpsGetRinfo"
2262 /*@
2263   MatMumpsGetRinfo - Get MUMPS parameter RINFO()
2264 
2265    Logically Collective on Mat
2266 
2267    Input Parameters:
2268 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
2269 -  icntl - index of MUMPS parameter array RINFO()
2270 
2271   Output Parameter:
2272 .  val - value of MUMPS RINFO(icntl)
2273 
2274    Level: beginner
2275 
2276    References:
2277 .       MUMPS Users' Guide
2278 
2279 .seealso: MatGetFactor(), MatMumpsSetICntl(), MatMumpsGetIcntl(), MatMumpsSetCntl(), MatMumpsGetCntl(), MatMumpsGetInfo(), MatMumpsGetInfog(), MatMumpsGetRinfo(), MatMumpsGetRinfog()
2280 @*/
2281 PetscErrorCode MatMumpsGetRinfo(Mat F,PetscInt icntl,PetscReal *val)
2282 {
2283   PetscErrorCode ierr;
2284 
2285   PetscFunctionBegin;
2286   PetscValidType(F,1);
2287   if (!F->factortype) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ARG_WRONGSTATE,"Only for factored matrix");
2288   PetscValidRealPointer(val,3);
2289   ierr = PetscUseMethod(F,"MatMumpsGetRinfo_C",(Mat,PetscInt,PetscReal*),(F,icntl,val));CHKERRQ(ierr);
2290   PetscFunctionReturn(0);
2291 }
2292 
2293 #undef __FUNCT__
2294 #define __FUNCT__ "MatMumpsGetRinfog"
2295 /*@
2296   MatMumpsGetRinfog - Get MUMPS parameter RINFOG()
2297 
2298    Logically Collective on Mat
2299 
2300    Input Parameters:
2301 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
2302 -  icntl - index of MUMPS parameter array RINFOG()
2303 
2304   Output Parameter:
2305 .  val - value of MUMPS RINFOG(icntl)
2306 
2307    Level: beginner
2308 
2309    References:
2310 .      MUMPS Users' Guide
2311 
2312 .seealso: MatGetFactor(), MatMumpsSetICntl(), MatMumpsGetIcntl(), MatMumpsSetCntl(), MatMumpsGetCntl(), MatMumpsGetInfo(), MatMumpsGetInfog(), MatMumpsGetRinfo(), MatMumpsGetRinfog()
2313 @*/
2314 PetscErrorCode MatMumpsGetRinfog(Mat F,PetscInt icntl,PetscReal *val)
2315 {
2316   PetscErrorCode ierr;
2317 
2318   PetscFunctionBegin;
2319   PetscValidType(F,1);
2320   if (!F->factortype) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ARG_WRONGSTATE,"Only for factored matrix");
2321   PetscValidRealPointer(val,3);
2322   ierr = PetscUseMethod(F,"MatMumpsGetRinfog_C",(Mat,PetscInt,PetscReal*),(F,icntl,val));CHKERRQ(ierr);
2323   PetscFunctionReturn(0);
2324 }
2325 
2326 /*MC
2327   MATSOLVERMUMPS -  A matrix type providing direct solvers (LU and Cholesky) for
2328   distributed and sequential matrices via the external package MUMPS.
2329 
2330   Works with MATAIJ and MATSBAIJ matrices
2331 
2332   Use ./configure --download-mumps --download-scalapack --download-parmetis --download-metis --download-ptscotch  to have PETSc installed with MUMPS
2333 
2334   Use -pc_type cholesky or lu -pc_factor_mat_solver_package mumps to us this direct solver
2335 
2336   Options Database Keys:
2337 +  -mat_mumps_icntl_1 - ICNTL(1): output stream for error messages
2338 .  -mat_mumps_icntl_2 - ICNTL(2): output stream for diagnostic printing, statistics, and warning
2339 .  -mat_mumps_icntl_3 -  ICNTL(3): output stream for global information, collected on the host
2340 .  -mat_mumps_icntl_4 -  ICNTL(4): level of printing (0 to 4)
2341 .  -mat_mumps_icntl_6 - ICNTL(6): permutes to a zero-free diagonal and/or scale the matrix (0 to 7)
2342 .  -mat_mumps_icntl_7 - ICNTL(7): computes a symmetric permutation in sequential analysis (0 to 7). 3=Scotch, 4=PORD, 5=Metis
2343 .  -mat_mumps_icntl_8  - ICNTL(8): scaling strategy (-2 to 8 or 77)
2344 .  -mat_mumps_icntl_10  - ICNTL(10): max num of refinements
2345 .  -mat_mumps_icntl_11  - ICNTL(11): statistics related to an error analysis (via -ksp_view)
2346 .  -mat_mumps_icntl_12  - ICNTL(12): an ordering strategy for symmetric matrices (0 to 3)
2347 .  -mat_mumps_icntl_13  - ICNTL(13): parallelism of the root node (enable ScaLAPACK) and its splitting
2348 .  -mat_mumps_icntl_14  - ICNTL(14): percentage increase in the estimated working space
2349 .  -mat_mumps_icntl_19  - ICNTL(19): computes the Schur complement
2350 .  -mat_mumps_icntl_22  - ICNTL(22): in-core/out-of-core factorization and solve (0 or 1)
2351 .  -mat_mumps_icntl_23  - ICNTL(23): max size of the working memory (MB) that can allocate per processor
2352 .  -mat_mumps_icntl_24  - ICNTL(24): detection of null pivot rows (0 or 1)
2353 .  -mat_mumps_icntl_25  - ICNTL(25): compute a solution of a deficient matrix and a null space basis
2354 .  -mat_mumps_icntl_26  - ICNTL(26): drives the solution phase if a Schur complement matrix
2355 .  -mat_mumps_icntl_28  - ICNTL(28): use 1 for sequential analysis and ictnl(7) ordering, or 2 for parallel analysis and ictnl(29) ordering
2356 .  -mat_mumps_icntl_29 - ICNTL(29): parallel ordering 1 = ptscotch, 2 = parmetis
2357 .  -mat_mumps_icntl_30 - ICNTL(30): compute user-specified set of entries in inv(A)
2358 .  -mat_mumps_icntl_31 - ICNTL(31): indicates which factors may be discarded during factorization
2359 .  -mat_mumps_icntl_33 - ICNTL(33): compute determinant
2360 .  -mat_mumps_cntl_1  - CNTL(1): relative pivoting threshold
2361 .  -mat_mumps_cntl_2  -  CNTL(2): stopping criterion of refinement
2362 .  -mat_mumps_cntl_3 - CNTL(3): absolute pivoting threshold
2363 .  -mat_mumps_cntl_4 - CNTL(4): value for static pivoting
2364 -  -mat_mumps_cntl_5 - CNTL(5): fixation for null pivots
2365 
2366   Level: beginner
2367 
2368     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
2369 $          KSPGetPC(ksp,&pc);
2370 $          PCFactorGetMatrix(pc,&mat);
2371 $          MatMumpsGetInfo(mat,....);
2372 $          MatMumpsGetInfog(mat,....); etc.
2373            Or you can run with -ksp_error_if_not_converged and the program will be stopped and the information printed in the error message.
2374 
2375 .seealso: PCFactorSetMatSolverPackage(), MatSolverPackage, MatMumpsSetICntl(), MatMumpsGetIcntl(), MatMumpsSetCntl(), MatMumpsGetCntl(), MatMumpsGetInfo(), MatMumpsGetInfog(), MatMumpsGetRinfo(), MatMumpsGetRinfog(), KSPGetPC(), PCGetFactor(), PCFactorGetMatrix()
2376 
2377 M*/
2378 
2379 #undef __FUNCT__
2380 #define __FUNCT__ "MatFactorGetSolverPackage_mumps"
2381 static PetscErrorCode MatFactorGetSolverPackage_mumps(Mat A,const MatSolverPackage *type)
2382 {
2383   PetscFunctionBegin;
2384   *type = MATSOLVERMUMPS;
2385   PetscFunctionReturn(0);
2386 }
2387 
2388 /* MatGetFactor for Seq and MPI AIJ matrices */
2389 #undef __FUNCT__
2390 #define __FUNCT__ "MatGetFactor_aij_mumps"
2391 static PetscErrorCode MatGetFactor_aij_mumps(Mat A,MatFactorType ftype,Mat *F)
2392 {
2393   Mat            B;
2394   PetscErrorCode ierr;
2395   Mat_MUMPS      *mumps;
2396   PetscBool      isSeqAIJ;
2397 
2398   PetscFunctionBegin;
2399   /* Create the factorization matrix */
2400   ierr = PetscObjectTypeCompare((PetscObject)A,MATSEQAIJ,&isSeqAIJ);CHKERRQ(ierr);
2401   ierr = MatCreate(PetscObjectComm((PetscObject)A),&B);CHKERRQ(ierr);
2402   ierr = MatSetSizes(B,A->rmap->n,A->cmap->n,A->rmap->N,A->cmap->N);CHKERRQ(ierr);
2403   ierr = PetscStrallocpy("mumps",&((PetscObject)B)->type_name);CHKERRQ(ierr);
2404   ierr = MatSetUp(B);CHKERRQ(ierr);
2405 
2406   ierr = PetscNewLog(B,&mumps);CHKERRQ(ierr);
2407 
2408   B->ops->view        = MatView_MUMPS;
2409   B->ops->getinfo     = MatGetInfo_MUMPS;
2410 
2411   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorGetSolverPackage_C",MatFactorGetSolverPackage_mumps);CHKERRQ(ierr);
2412   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSetSchurIS_C",MatFactorSetSchurIS_MUMPS);CHKERRQ(ierr);
2413   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorInvertSchurComplement_C",MatFactorInvertSchurComplement_MUMPS);CHKERRQ(ierr);
2414   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorCreateSchurComplement_C",MatFactorCreateSchurComplement_MUMPS);CHKERRQ(ierr);
2415   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorGetSchurComplement_C",MatFactorGetSchurComplement_MUMPS);CHKERRQ(ierr);
2416   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSolveSchurComplement_C",MatFactorSolveSchurComplement_MUMPS);CHKERRQ(ierr);
2417   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSolveSchurComplementTranspose_C",MatFactorSolveSchurComplementTranspose_MUMPS);CHKERRQ(ierr);
2418   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsSetIcntl_C",MatMumpsSetIcntl_MUMPS);CHKERRQ(ierr);
2419   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetIcntl_C",MatMumpsGetIcntl_MUMPS);CHKERRQ(ierr);
2420   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsSetCntl_C",MatMumpsSetCntl_MUMPS);CHKERRQ(ierr);
2421   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetCntl_C",MatMumpsGetCntl_MUMPS);CHKERRQ(ierr);
2422   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetInfo_C",MatMumpsGetInfo_MUMPS);CHKERRQ(ierr);
2423   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetInfog_C",MatMumpsGetInfog_MUMPS);CHKERRQ(ierr);
2424   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetRinfo_C",MatMumpsGetRinfo_MUMPS);CHKERRQ(ierr);
2425   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetRinfog_C",MatMumpsGetRinfog_MUMPS);CHKERRQ(ierr);
2426 
2427   if (ftype == MAT_FACTOR_LU) {
2428     B->ops->lufactorsymbolic = MatLUFactorSymbolic_AIJMUMPS;
2429     B->factortype            = MAT_FACTOR_LU;
2430     if (isSeqAIJ) mumps->ConvertToTriples = MatConvertToTriples_seqaij_seqaij;
2431     else mumps->ConvertToTriples = MatConvertToTriples_mpiaij_mpiaij;
2432     mumps->sym = 0;
2433   } else {
2434     B->ops->choleskyfactorsymbolic = MatCholeskyFactorSymbolic_MUMPS;
2435     B->factortype                  = MAT_FACTOR_CHOLESKY;
2436     if (isSeqAIJ) mumps->ConvertToTriples = MatConvertToTriples_seqaij_seqsbaij;
2437     else mumps->ConvertToTriples = MatConvertToTriples_mpiaij_mpisbaij;
2438 #if defined(PETSC_USE_COMPLEX)
2439     mumps->sym = 2;
2440 #else
2441     if (A->spd_set && A->spd) mumps->sym = 1;
2442     else                      mumps->sym = 2;
2443 #endif
2444   }
2445 
2446   /* set solvertype */
2447   ierr = PetscFree(B->solvertype);CHKERRQ(ierr);
2448   ierr = PetscStrallocpy(MATSOLVERMUMPS,&B->solvertype);CHKERRQ(ierr);
2449 
2450   mumps->isAIJ    = PETSC_TRUE;
2451   B->ops->destroy = MatDestroy_MUMPS;
2452   B->data        = (void*)mumps;
2453 
2454   ierr = PetscInitializeMUMPS(A,mumps);CHKERRQ(ierr);
2455 
2456   *F = B;
2457   PetscFunctionReturn(0);
2458 }
2459 
2460 /* MatGetFactor for Seq and MPI SBAIJ matrices */
2461 #undef __FUNCT__
2462 #define __FUNCT__ "MatGetFactor_sbaij_mumps"
2463 static PetscErrorCode MatGetFactor_sbaij_mumps(Mat A,MatFactorType ftype,Mat *F)
2464 {
2465   Mat            B;
2466   PetscErrorCode ierr;
2467   Mat_MUMPS      *mumps;
2468   PetscBool      isSeqSBAIJ;
2469 
2470   PetscFunctionBegin;
2471   if (ftype != MAT_FACTOR_CHOLESKY) SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_SUP,"Cannot use PETSc SBAIJ matrices with MUMPS LU, use AIJ matrix");
2472   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");
2473   ierr = PetscObjectTypeCompare((PetscObject)A,MATSEQSBAIJ,&isSeqSBAIJ);CHKERRQ(ierr);
2474   /* Create the factorization matrix */
2475   ierr = MatCreate(PetscObjectComm((PetscObject)A),&B);CHKERRQ(ierr);
2476   ierr = MatSetSizes(B,A->rmap->n,A->cmap->n,A->rmap->N,A->cmap->N);CHKERRQ(ierr);
2477   ierr = PetscStrallocpy("mumps",&((PetscObject)B)->type_name);CHKERRQ(ierr);
2478   ierr = MatSetUp(B);CHKERRQ(ierr);
2479 
2480   ierr = PetscNewLog(B,&mumps);CHKERRQ(ierr);
2481   if (isSeqSBAIJ) {
2482     mumps->ConvertToTriples = MatConvertToTriples_seqsbaij_seqsbaij;
2483   } else {
2484     mumps->ConvertToTriples = MatConvertToTriples_mpisbaij_mpisbaij;
2485   }
2486 
2487   B->ops->getinfo                = MatGetInfo_External;
2488   B->ops->choleskyfactorsymbolic = MatCholeskyFactorSymbolic_MUMPS;
2489   B->ops->view                   = MatView_MUMPS;
2490 
2491   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorGetSolverPackage_C",MatFactorGetSolverPackage_mumps);CHKERRQ(ierr);
2492   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSetSchurIS_C",MatFactorSetSchurIS_MUMPS);CHKERRQ(ierr);
2493   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorInvertSchurComplement_C",MatFactorInvertSchurComplement_MUMPS);CHKERRQ(ierr);
2494   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorCreateSchurComplement_C",MatFactorCreateSchurComplement_MUMPS);CHKERRQ(ierr);
2495   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorGetSchurComplement_C",MatFactorGetSchurComplement_MUMPS);CHKERRQ(ierr);
2496   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSolveSchurComplement_C",MatFactorSolveSchurComplement_MUMPS);CHKERRQ(ierr);
2497   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSolveSchurComplementTranspose_C",MatFactorSolveSchurComplementTranspose_MUMPS);CHKERRQ(ierr);
2498   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsSetIcntl_C",MatMumpsSetIcntl_MUMPS);CHKERRQ(ierr);
2499   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetIcntl_C",MatMumpsGetIcntl_MUMPS);CHKERRQ(ierr);
2500   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsSetCntl_C",MatMumpsSetCntl_MUMPS);CHKERRQ(ierr);
2501   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetCntl_C",MatMumpsGetCntl_MUMPS);CHKERRQ(ierr);
2502   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetInfo_C",MatMumpsGetInfo_MUMPS);CHKERRQ(ierr);
2503   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetInfog_C",MatMumpsGetInfog_MUMPS);CHKERRQ(ierr);
2504   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetRinfo_C",MatMumpsGetRinfo_MUMPS);CHKERRQ(ierr);
2505   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetRinfog_C",MatMumpsGetRinfog_MUMPS);CHKERRQ(ierr);
2506 
2507   B->factortype = MAT_FACTOR_CHOLESKY;
2508 #if defined(PETSC_USE_COMPLEX)
2509   mumps->sym = 2;
2510 #else
2511   if (A->spd_set && A->spd) mumps->sym = 1;
2512   else                      mumps->sym = 2;
2513 #endif
2514 
2515   /* set solvertype */
2516   ierr = PetscFree(B->solvertype);CHKERRQ(ierr);
2517   ierr = PetscStrallocpy(MATSOLVERMUMPS,&B->solvertype);CHKERRQ(ierr);
2518 
2519   mumps->isAIJ    = PETSC_FALSE;
2520   B->ops->destroy = MatDestroy_MUMPS;
2521   B->data        = (void*)mumps;
2522 
2523   ierr = PetscInitializeMUMPS(A,mumps);CHKERRQ(ierr);
2524 
2525   *F = B;
2526   PetscFunctionReturn(0);
2527 }
2528 
2529 #undef __FUNCT__
2530 #define __FUNCT__ "MatGetFactor_baij_mumps"
2531 static PetscErrorCode MatGetFactor_baij_mumps(Mat A,MatFactorType ftype,Mat *F)
2532 {
2533   Mat            B;
2534   PetscErrorCode ierr;
2535   Mat_MUMPS      *mumps;
2536   PetscBool      isSeqBAIJ;
2537 
2538   PetscFunctionBegin;
2539   /* Create the factorization matrix */
2540   ierr = PetscObjectTypeCompare((PetscObject)A,MATSEQBAIJ,&isSeqBAIJ);CHKERRQ(ierr);
2541   ierr = MatCreate(PetscObjectComm((PetscObject)A),&B);CHKERRQ(ierr);
2542   ierr = MatSetSizes(B,A->rmap->n,A->cmap->n,A->rmap->N,A->cmap->N);CHKERRQ(ierr);
2543   ierr = PetscStrallocpy("mumps",&((PetscObject)B)->type_name);CHKERRQ(ierr);
2544   ierr = MatSetUp(B);CHKERRQ(ierr);
2545 
2546   ierr = PetscNewLog(B,&mumps);CHKERRQ(ierr);
2547   if (ftype == MAT_FACTOR_LU) {
2548     B->ops->lufactorsymbolic = MatLUFactorSymbolic_BAIJMUMPS;
2549     B->factortype            = MAT_FACTOR_LU;
2550     if (isSeqBAIJ) mumps->ConvertToTriples = MatConvertToTriples_seqbaij_seqaij;
2551     else mumps->ConvertToTriples = MatConvertToTriples_mpibaij_mpiaij;
2552     mumps->sym = 0;
2553   } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Cannot use PETSc BAIJ matrices with MUMPS Cholesky, use SBAIJ or AIJ matrix instead\n");
2554 
2555   B->ops->getinfo     = MatGetInfo_External;
2556   B->ops->view        = MatView_MUMPS;
2557 
2558   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorGetSolverPackage_C",MatFactorGetSolverPackage_mumps);CHKERRQ(ierr);
2559   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSetSchurIS_C",MatFactorSetSchurIS_MUMPS);CHKERRQ(ierr);
2560   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorInvertSchurComplement_C",MatFactorInvertSchurComplement_MUMPS);CHKERRQ(ierr);
2561   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorCreateSchurComplement_C",MatFactorCreateSchurComplement_MUMPS);CHKERRQ(ierr);
2562   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorGetSchurComplement_C",MatFactorGetSchurComplement_MUMPS);CHKERRQ(ierr);
2563   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSolveSchurComplement_C",MatFactorSolveSchurComplement_MUMPS);CHKERRQ(ierr);
2564   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSolveSchurComplementTranspose_C",MatFactorSolveSchurComplementTranspose_MUMPS);CHKERRQ(ierr);
2565   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsSetIcntl_C",MatMumpsSetIcntl_MUMPS);CHKERRQ(ierr);
2566   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetIcntl_C",MatMumpsGetIcntl_MUMPS);CHKERRQ(ierr);
2567   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsSetCntl_C",MatMumpsSetCntl_MUMPS);CHKERRQ(ierr);
2568   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetCntl_C",MatMumpsGetCntl_MUMPS);CHKERRQ(ierr);
2569   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetInfo_C",MatMumpsGetInfo_MUMPS);CHKERRQ(ierr);
2570   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetInfog_C",MatMumpsGetInfog_MUMPS);CHKERRQ(ierr);
2571   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetRinfo_C",MatMumpsGetRinfo_MUMPS);CHKERRQ(ierr);
2572   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetRinfog_C",MatMumpsGetRinfog_MUMPS);CHKERRQ(ierr);
2573 
2574   /* set solvertype */
2575   ierr = PetscFree(B->solvertype);CHKERRQ(ierr);
2576   ierr = PetscStrallocpy(MATSOLVERMUMPS,&B->solvertype);CHKERRQ(ierr);
2577 
2578   mumps->isAIJ    = PETSC_TRUE;
2579   B->ops->destroy = MatDestroy_MUMPS;
2580   B->data        = (void*)mumps;
2581 
2582   ierr = PetscInitializeMUMPS(A,mumps);CHKERRQ(ierr);
2583 
2584   *F = B;
2585   PetscFunctionReturn(0);
2586 }
2587 
2588 #undef __FUNCT__
2589 #define __FUNCT__ "MatSolverPackageRegister_MUMPS"
2590 PETSC_EXTERN PetscErrorCode MatSolverPackageRegister_MUMPS(void)
2591 {
2592   PetscErrorCode ierr;
2593 
2594   PetscFunctionBegin;
2595   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATMPIAIJ,MAT_FACTOR_LU,MatGetFactor_aij_mumps);CHKERRQ(ierr);
2596   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATMPIAIJ,MAT_FACTOR_CHOLESKY,MatGetFactor_aij_mumps);CHKERRQ(ierr);
2597   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATMPIBAIJ,MAT_FACTOR_LU,MatGetFactor_baij_mumps);CHKERRQ(ierr);
2598   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATMPIBAIJ,MAT_FACTOR_CHOLESKY,MatGetFactor_baij_mumps);CHKERRQ(ierr);
2599   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATMPISBAIJ,MAT_FACTOR_CHOLESKY,MatGetFactor_sbaij_mumps);CHKERRQ(ierr);
2600   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATSEQAIJ,MAT_FACTOR_LU,MatGetFactor_aij_mumps);CHKERRQ(ierr);
2601   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATSEQAIJ,MAT_FACTOR_CHOLESKY,MatGetFactor_aij_mumps);CHKERRQ(ierr);
2602   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATSEQBAIJ,MAT_FACTOR_LU,MatGetFactor_baij_mumps);CHKERRQ(ierr);
2603   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATSEQBAIJ,MAT_FACTOR_CHOLESKY,MatGetFactor_baij_mumps);CHKERRQ(ierr);
2604   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATSEQSBAIJ,MAT_FACTOR_CHOLESKY,MatGetFactor_sbaij_mumps);CHKERRQ(ierr);
2605   PetscFunctionReturn(0);
2606 }
2607 
2608