xref: /petsc/src/mat/impls/aij/mpi/mumps/mumps.c (revision 6b3eee04a67a44bd9a4e65b41b1dd96ffcd06ca3)
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   PetscBool         missing;
502 
503   PetscFunctionBegin;
504   ai   =aa->i; aj=aa->j;av=aa->a;
505   adiag=aa->diag;
506   ierr  = MatMissingDiagonal_SeqAIJ(A,&missing,&i);CHKERRQ(ierr);
507   if (reuse == MAT_INITIAL_MATRIX) {
508     /* count nz in the uppper triangular part of A */
509     nz = 0;
510     if (missing) {
511       for (i=0; i<M; i++) {
512         if (PetscUnlikely(adiag[i] >= ai[i+1])) {
513           for (j=ai[i];j<ai[i+1];j++) {
514             if (aj[j] < i) continue;
515             nz++;
516           }
517         } else {
518           nz += ai[i+1] - adiag[i];
519         }
520       }
521     } else {
522       for (i=0; i<M; i++) nz += ai[i+1] - adiag[i];
523     }
524     *nnz = nz;
525 
526     ierr = PetscMalloc((2*nz*sizeof(PetscInt)+nz*sizeof(PetscScalar)), &row);CHKERRQ(ierr);
527     col  = row + nz;
528     val  = (PetscScalar*)(col + nz);
529 
530     nz = 0;
531     if (missing) {
532       for (i=0; i<M; i++) {
533         if (PetscUnlikely(adiag[i] >= ai[i+1])) {
534           for (j=ai[i];j<ai[i+1];j++) {
535             if (aj[j] < i) continue;
536             row[nz] = i+shift;
537             col[nz] = aj[j]+shift;
538             val[nz] = av[j];
539             nz++;
540           }
541         } else {
542           rnz = ai[i+1] - adiag[i];
543           ajj = aj + adiag[i];
544           v1  = av + adiag[i];
545           for (j=0; j<rnz; j++) {
546             row[nz] = i+shift; col[nz] = ajj[j] + shift; val[nz++] = v1[j];
547           }
548         }
549       }
550     } else {
551       for (i=0; i<M; i++) {
552         rnz = ai[i+1] - adiag[i];
553         ajj = aj + adiag[i];
554         v1  = av + adiag[i];
555         for (j=0; j<rnz; j++) {
556           row[nz] = i+shift; col[nz] = ajj[j] + shift; val[nz++] = v1[j];
557         }
558       }
559     }
560     *r = row; *c = col; *v = val;
561   } else {
562     nz = 0; val = *v;
563     if (missing) {
564       for (i=0; i <M; i++) {
565         if (PetscUnlikely(adiag[i] >= ai[i+1])) {
566           for (j=ai[i];j<ai[i+1];j++) {
567             if (aj[j] < i) continue;
568             val[nz++] = av[j];
569           }
570         } else {
571           rnz = ai[i+1] - adiag[i];
572           v1  = av + adiag[i];
573           for (j=0; j<rnz; j++) {
574             val[nz++] = v1[j];
575           }
576         }
577       }
578     } else {
579       for (i=0; i <M; i++) {
580         rnz = ai[i+1] - adiag[i];
581         v1  = av + adiag[i];
582         for (j=0; j<rnz; j++) {
583           val[nz++] = v1[j];
584         }
585       }
586     }
587   }
588   PetscFunctionReturn(0);
589 }
590 
591 #undef __FUNCT__
592 #define __FUNCT__ "MatConvertToTriples_mpisbaij_mpisbaij"
593 PetscErrorCode MatConvertToTriples_mpisbaij_mpisbaij(Mat A,int shift,MatReuse reuse,int *nnz,int **r, int **c, PetscScalar **v)
594 {
595   const PetscInt    *ai, *aj, *bi, *bj,*garray,m=A->rmap->n,*ajj,*bjj;
596   PetscErrorCode    ierr;
597   PetscInt          rstart,nz,i,j,jj,irow,countA,countB;
598   PetscInt          *row,*col;
599   const PetscScalar *av, *bv,*v1,*v2;
600   PetscScalar       *val;
601   Mat_MPISBAIJ      *mat = (Mat_MPISBAIJ*)A->data;
602   Mat_SeqSBAIJ      *aa  = (Mat_SeqSBAIJ*)(mat->A)->data;
603   Mat_SeqBAIJ       *bb  = (Mat_SeqBAIJ*)(mat->B)->data;
604 
605   PetscFunctionBegin;
606   ai=aa->i; aj=aa->j; bi=bb->i; bj=bb->j; rstart= A->rmap->rstart;
607   av=aa->a; bv=bb->a;
608 
609   garray = mat->garray;
610 
611   if (reuse == MAT_INITIAL_MATRIX) {
612     nz   = aa->nz + bb->nz;
613     *nnz = nz;
614     ierr = PetscMalloc((2*nz*sizeof(PetscInt)+nz*sizeof(PetscScalar)), &row);CHKERRQ(ierr);
615     col  = row + nz;
616     val  = (PetscScalar*)(col + nz);
617 
618     *r = row; *c = col; *v = val;
619   } else {
620     row = *r; col = *c; val = *v;
621   }
622 
623   jj = 0; irow = rstart;
624   for (i=0; i<m; i++) {
625     ajj    = aj + ai[i];                 /* ptr to the beginning of this row */
626     countA = ai[i+1] - ai[i];
627     countB = bi[i+1] - bi[i];
628     bjj    = bj + bi[i];
629     v1     = av + ai[i];
630     v2     = bv + bi[i];
631 
632     /* A-part */
633     for (j=0; j<countA; j++) {
634       if (reuse == MAT_INITIAL_MATRIX) {
635         row[jj] = irow + shift; col[jj] = rstart + ajj[j] + shift;
636       }
637       val[jj++] = v1[j];
638     }
639 
640     /* B-part */
641     for (j=0; j < countB; j++) {
642       if (reuse == MAT_INITIAL_MATRIX) {
643         row[jj] = irow + shift; col[jj] = garray[bjj[j]] + shift;
644       }
645       val[jj++] = v2[j];
646     }
647     irow++;
648   }
649   PetscFunctionReturn(0);
650 }
651 
652 #undef __FUNCT__
653 #define __FUNCT__ "MatConvertToTriples_mpiaij_mpiaij"
654 PetscErrorCode MatConvertToTriples_mpiaij_mpiaij(Mat A,int shift,MatReuse reuse,int *nnz,int **r, int **c, PetscScalar **v)
655 {
656   const PetscInt    *ai, *aj, *bi, *bj,*garray,m=A->rmap->n,*ajj,*bjj;
657   PetscErrorCode    ierr;
658   PetscInt          rstart,nz,i,j,jj,irow,countA,countB;
659   PetscInt          *row,*col;
660   const PetscScalar *av, *bv,*v1,*v2;
661   PetscScalar       *val;
662   Mat_MPIAIJ        *mat = (Mat_MPIAIJ*)A->data;
663   Mat_SeqAIJ        *aa  = (Mat_SeqAIJ*)(mat->A)->data;
664   Mat_SeqAIJ        *bb  = (Mat_SeqAIJ*)(mat->B)->data;
665 
666   PetscFunctionBegin;
667   ai=aa->i; aj=aa->j; bi=bb->i; bj=bb->j; rstart= A->rmap->rstart;
668   av=aa->a; bv=bb->a;
669 
670   garray = mat->garray;
671 
672   if (reuse == MAT_INITIAL_MATRIX) {
673     nz   = aa->nz + bb->nz;
674     *nnz = nz;
675     ierr = PetscMalloc((2*nz*sizeof(PetscInt)+nz*sizeof(PetscScalar)), &row);CHKERRQ(ierr);
676     col  = row + nz;
677     val  = (PetscScalar*)(col + nz);
678 
679     *r = row; *c = col; *v = val;
680   } else {
681     row = *r; col = *c; val = *v;
682   }
683 
684   jj = 0; irow = rstart;
685   for (i=0; i<m; i++) {
686     ajj    = aj + ai[i];                 /* ptr to the beginning of this row */
687     countA = ai[i+1] - ai[i];
688     countB = bi[i+1] - bi[i];
689     bjj    = bj + bi[i];
690     v1     = av + ai[i];
691     v2     = bv + bi[i];
692 
693     /* A-part */
694     for (j=0; j<countA; j++) {
695       if (reuse == MAT_INITIAL_MATRIX) {
696         row[jj] = irow + shift; col[jj] = rstart + ajj[j] + shift;
697       }
698       val[jj++] = v1[j];
699     }
700 
701     /* B-part */
702     for (j=0; j < countB; j++) {
703       if (reuse == MAT_INITIAL_MATRIX) {
704         row[jj] = irow + shift; col[jj] = garray[bjj[j]] + shift;
705       }
706       val[jj++] = v2[j];
707     }
708     irow++;
709   }
710   PetscFunctionReturn(0);
711 }
712 
713 #undef __FUNCT__
714 #define __FUNCT__ "MatConvertToTriples_mpibaij_mpiaij"
715 PetscErrorCode MatConvertToTriples_mpibaij_mpiaij(Mat A,int shift,MatReuse reuse,int *nnz,int **r, int **c, PetscScalar **v)
716 {
717   Mat_MPIBAIJ       *mat    = (Mat_MPIBAIJ*)A->data;
718   Mat_SeqBAIJ       *aa     = (Mat_SeqBAIJ*)(mat->A)->data;
719   Mat_SeqBAIJ       *bb     = (Mat_SeqBAIJ*)(mat->B)->data;
720   const PetscInt    *ai     = aa->i, *bi = bb->i, *aj = aa->j, *bj = bb->j,*ajj, *bjj;
721   const PetscInt    *garray = mat->garray,mbs=mat->mbs,rstart=A->rmap->rstart;
722   const PetscInt    bs2=mat->bs2;
723   PetscErrorCode    ierr;
724   PetscInt          bs,nz,i,j,k,n,jj,irow,countA,countB,idx;
725   PetscInt          *row,*col;
726   const PetscScalar *av=aa->a, *bv=bb->a,*v1,*v2;
727   PetscScalar       *val;
728 
729   PetscFunctionBegin;
730   ierr = MatGetBlockSize(A,&bs);CHKERRQ(ierr);
731   if (reuse == MAT_INITIAL_MATRIX) {
732     nz   = bs2*(aa->nz + bb->nz);
733     *nnz = nz;
734     ierr = PetscMalloc((2*nz*sizeof(PetscInt)+nz*sizeof(PetscScalar)), &row);CHKERRQ(ierr);
735     col  = row + nz;
736     val  = (PetscScalar*)(col + nz);
737 
738     *r = row; *c = col; *v = val;
739   } else {
740     row = *r; col = *c; val = *v;
741   }
742 
743   jj = 0; irow = rstart;
744   for (i=0; i<mbs; i++) {
745     countA = ai[i+1] - ai[i];
746     countB = bi[i+1] - bi[i];
747     ajj    = aj + ai[i];
748     bjj    = bj + bi[i];
749     v1     = av + bs2*ai[i];
750     v2     = bv + bs2*bi[i];
751 
752     idx = 0;
753     /* A-part */
754     for (k=0; k<countA; k++) {
755       for (j=0; j<bs; j++) {
756         for (n=0; n<bs; n++) {
757           if (reuse == MAT_INITIAL_MATRIX) {
758             row[jj] = irow + n + shift;
759             col[jj] = rstart + bs*ajj[k] + j + shift;
760           }
761           val[jj++] = v1[idx++];
762         }
763       }
764     }
765 
766     idx = 0;
767     /* B-part */
768     for (k=0; k<countB; k++) {
769       for (j=0; j<bs; j++) {
770         for (n=0; n<bs; n++) {
771           if (reuse == MAT_INITIAL_MATRIX) {
772             row[jj] = irow + n + shift;
773             col[jj] = bs*garray[bjj[k]] + j + shift;
774           }
775           val[jj++] = v2[idx++];
776         }
777       }
778     }
779     irow += bs;
780   }
781   PetscFunctionReturn(0);
782 }
783 
784 #undef __FUNCT__
785 #define __FUNCT__ "MatConvertToTriples_mpiaij_mpisbaij"
786 PetscErrorCode MatConvertToTriples_mpiaij_mpisbaij(Mat A,int shift,MatReuse reuse,int *nnz,int **r, int **c, PetscScalar **v)
787 {
788   const PetscInt    *ai, *aj,*adiag, *bi, *bj,*garray,m=A->rmap->n,*ajj,*bjj;
789   PetscErrorCode    ierr;
790   PetscInt          rstart,nz,nza,nzb,i,j,jj,irow,countA,countB;
791   PetscInt          *row,*col;
792   const PetscScalar *av, *bv,*v1,*v2;
793   PetscScalar       *val;
794   Mat_MPIAIJ        *mat =  (Mat_MPIAIJ*)A->data;
795   Mat_SeqAIJ        *aa  =(Mat_SeqAIJ*)(mat->A)->data;
796   Mat_SeqAIJ        *bb  =(Mat_SeqAIJ*)(mat->B)->data;
797 
798   PetscFunctionBegin;
799   ai=aa->i; aj=aa->j; adiag=aa->diag;
800   bi=bb->i; bj=bb->j; garray = mat->garray;
801   av=aa->a; bv=bb->a;
802 
803   rstart = A->rmap->rstart;
804 
805   if (reuse == MAT_INITIAL_MATRIX) {
806     nza = 0;    /* num of upper triangular entries in mat->A, including diagonals */
807     nzb = 0;    /* num of upper triangular entries in mat->B */
808     for (i=0; i<m; i++) {
809       nza   += (ai[i+1] - adiag[i]);
810       countB = bi[i+1] - bi[i];
811       bjj    = bj + bi[i];
812       for (j=0; j<countB; j++) {
813         if (garray[bjj[j]] > rstart) nzb++;
814       }
815     }
816 
817     nz   = nza + nzb; /* total nz of upper triangular part of mat */
818     *nnz = nz;
819     ierr = PetscMalloc((2*nz*sizeof(PetscInt)+nz*sizeof(PetscScalar)), &row);CHKERRQ(ierr);
820     col  = row + nz;
821     val  = (PetscScalar*)(col + nz);
822 
823     *r = row; *c = col; *v = val;
824   } else {
825     row = *r; col = *c; val = *v;
826   }
827 
828   jj = 0; irow = rstart;
829   for (i=0; i<m; i++) {
830     ajj    = aj + adiag[i];                 /* ptr to the beginning of the diagonal of this row */
831     v1     = av + adiag[i];
832     countA = ai[i+1] - adiag[i];
833     countB = bi[i+1] - bi[i];
834     bjj    = bj + bi[i];
835     v2     = bv + bi[i];
836 
837     /* A-part */
838     for (j=0; j<countA; j++) {
839       if (reuse == MAT_INITIAL_MATRIX) {
840         row[jj] = irow + shift; col[jj] = rstart + ajj[j] + shift;
841       }
842       val[jj++] = v1[j];
843     }
844 
845     /* B-part */
846     for (j=0; j < countB; j++) {
847       if (garray[bjj[j]] > rstart) {
848         if (reuse == MAT_INITIAL_MATRIX) {
849           row[jj] = irow + shift; col[jj] = garray[bjj[j]] + shift;
850         }
851         val[jj++] = v2[j];
852       }
853     }
854     irow++;
855   }
856   PetscFunctionReturn(0);
857 }
858 
859 #undef __FUNCT__
860 #define __FUNCT__ "MatDestroy_MUMPS"
861 PetscErrorCode MatDestroy_MUMPS(Mat A)
862 {
863   Mat_MUMPS      *mumps=(Mat_MUMPS*)A->data;
864   PetscErrorCode ierr;
865 
866   PetscFunctionBegin;
867   ierr = PetscFree2(mumps->id.sol_loc,mumps->id.isol_loc);CHKERRQ(ierr);
868   ierr = VecScatterDestroy(&mumps->scat_rhs);CHKERRQ(ierr);
869   ierr = VecScatterDestroy(&mumps->scat_sol);CHKERRQ(ierr);
870   ierr = VecDestroy(&mumps->b_seq);CHKERRQ(ierr);
871   ierr = VecDestroy(&mumps->x_seq);CHKERRQ(ierr);
872   ierr = PetscFree(mumps->id.perm_in);CHKERRQ(ierr);
873   ierr = PetscFree(mumps->irn);CHKERRQ(ierr);
874   ierr = PetscFree(mumps->info);CHKERRQ(ierr);
875   ierr = MatMumpsResetSchur_Private(mumps);CHKERRQ(ierr);
876   mumps->id.job = JOB_END;
877   PetscMUMPS_c(&mumps->id);
878   ierr = MPI_Comm_free(&mumps->comm_mumps);CHKERRQ(ierr);
879   ierr = PetscFree(A->data);CHKERRQ(ierr);
880 
881   /* clear composed functions */
882   ierr = PetscObjectComposeFunction((PetscObject)A,"MatFactorGetSolverPackage_C",NULL);CHKERRQ(ierr);
883   ierr = PetscObjectComposeFunction((PetscObject)A,"MatFactorSetSchurIS_C",NULL);CHKERRQ(ierr);
884   ierr = PetscObjectComposeFunction((PetscObject)A,"MatFactorInvertSchurComplement_C",NULL);CHKERRQ(ierr);
885   ierr = PetscObjectComposeFunction((PetscObject)A,"MatFactorCreateSchurComplement_C",NULL);CHKERRQ(ierr);
886   ierr = PetscObjectComposeFunction((PetscObject)A,"MatFactorGetSchurComplement_C",NULL);CHKERRQ(ierr);
887   ierr = PetscObjectComposeFunction((PetscObject)A,"MatFactorSolveSchurComplement_C",NULL);CHKERRQ(ierr);
888   ierr = PetscObjectComposeFunction((PetscObject)A,"MatFactorSolveSchurComplementTranspose_C",NULL);CHKERRQ(ierr);
889   ierr = PetscObjectComposeFunction((PetscObject)A,"MatMumpsSetIcntl_C",NULL);CHKERRQ(ierr);
890   ierr = PetscObjectComposeFunction((PetscObject)A,"MatMumpsGetIcntl_C",NULL);CHKERRQ(ierr);
891   ierr = PetscObjectComposeFunction((PetscObject)A,"MatMumpsSetCntl_C",NULL);CHKERRQ(ierr);
892   ierr = PetscObjectComposeFunction((PetscObject)A,"MatMumpsGetCntl_C",NULL);CHKERRQ(ierr);
893   ierr = PetscObjectComposeFunction((PetscObject)A,"MatMumpsGetInfo_C",NULL);CHKERRQ(ierr);
894   ierr = PetscObjectComposeFunction((PetscObject)A,"MatMumpsGetInfog_C",NULL);CHKERRQ(ierr);
895   ierr = PetscObjectComposeFunction((PetscObject)A,"MatMumpsGetRinfo_C",NULL);CHKERRQ(ierr);
896   ierr = PetscObjectComposeFunction((PetscObject)A,"MatMumpsGetRinfog_C",NULL);CHKERRQ(ierr);
897   PetscFunctionReturn(0);
898 }
899 
900 #undef __FUNCT__
901 #define __FUNCT__ "MatSolve_MUMPS"
902 PetscErrorCode MatSolve_MUMPS(Mat A,Vec b,Vec x)
903 {
904   Mat_MUMPS        *mumps=(Mat_MUMPS*)A->data;
905   PetscScalar      *array;
906   Vec              b_seq;
907   IS               is_iden,is_petsc;
908   PetscErrorCode   ierr;
909   PetscInt         i;
910   PetscBool        second_solve = PETSC_FALSE;
911   static PetscBool cite1 = PETSC_FALSE,cite2 = PETSC_FALSE;
912 
913   PetscFunctionBegin;
914   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);
915   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);
916 
917   if (A->factorerrortype) {
918     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);
919     ierr = VecSetInf(x);CHKERRQ(ierr);
920     PetscFunctionReturn(0);
921   }
922 
923   mumps->id.nrhs = 1;
924   b_seq          = mumps->b_seq;
925   if (mumps->size > 1) {
926     /* MUMPS only supports centralized rhs. Scatter b into a seqential rhs vector */
927     ierr = VecScatterBegin(mumps->scat_rhs,b,b_seq,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
928     ierr = VecScatterEnd(mumps->scat_rhs,b,b_seq,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
929     if (!mumps->myid) {ierr = VecGetArray(b_seq,&array);CHKERRQ(ierr);}
930   } else {  /* size == 1 */
931     ierr = VecCopy(b,x);CHKERRQ(ierr);
932     ierr = VecGetArray(x,&array);CHKERRQ(ierr);
933   }
934   if (!mumps->myid) { /* define rhs on the host */
935     mumps->id.nrhs = 1;
936     mumps->id.rhs = (MumpsScalar*)array;
937   }
938 
939   /*
940      handle condensation step of Schur complement (if any)
941      We set by default ICNTL(26) == -1 when Schur indices have been provided by the user.
942      According to MUMPS (5.0.0) manual, any value should be harmful during the factorization phase
943      Unless the user provides a valid value for ICNTL(26), MatSolve and MatMatSolve routines solve the full system.
944      This requires an extra call to PetscMUMPS_c and the computation of the factors for S
945   */
946   if (mumps->id.ICNTL(26) < 0 || mumps->id.ICNTL(26) > 2) {
947     second_solve = PETSC_TRUE;
948     ierr = MatMumpsHandleSchur_Private(mumps,PETSC_FALSE);CHKERRQ(ierr);
949   }
950   /* solve phase */
951   /*-------------*/
952   mumps->id.job = JOB_SOLVE;
953   PetscMUMPS_c(&mumps->id);
954   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));
955 
956   /* handle expansion step of Schur complement (if any) */
957   if (second_solve) {
958     ierr = MatMumpsHandleSchur_Private(mumps,PETSC_TRUE);CHKERRQ(ierr);
959   }
960 
961   if (mumps->size > 1) { /* convert mumps distributed solution to petsc mpi x */
962     if (mumps->scat_sol && mumps->ICNTL9_pre != mumps->id.ICNTL(9)) {
963       /* when id.ICNTL(9) changes, the contents of lsol_loc may change (not its size, lsol_loc), recreates scat_sol */
964       ierr = VecScatterDestroy(&mumps->scat_sol);CHKERRQ(ierr);
965     }
966     if (!mumps->scat_sol) { /* create scatter scat_sol */
967       ierr = ISCreateStride(PETSC_COMM_SELF,mumps->id.lsol_loc,0,1,&is_iden);CHKERRQ(ierr); /* from */
968       for (i=0; i<mumps->id.lsol_loc; i++) {
969         mumps->id.isol_loc[i] -= 1; /* change Fortran style to C style */
970       }
971       ierr = ISCreateGeneral(PETSC_COMM_SELF,mumps->id.lsol_loc,mumps->id.isol_loc,PETSC_COPY_VALUES,&is_petsc);CHKERRQ(ierr);  /* to */
972       ierr = VecScatterCreate(mumps->x_seq,is_iden,x,is_petsc,&mumps->scat_sol);CHKERRQ(ierr);
973       ierr = ISDestroy(&is_iden);CHKERRQ(ierr);
974       ierr = ISDestroy(&is_petsc);CHKERRQ(ierr);
975 
976       mumps->ICNTL9_pre = mumps->id.ICNTL(9); /* save current value of id.ICNTL(9) */
977     }
978 
979     ierr = VecScatterBegin(mumps->scat_sol,mumps->x_seq,x,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
980     ierr = VecScatterEnd(mumps->scat_sol,mumps->x_seq,x,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
981   }
982   PetscFunctionReturn(0);
983 }
984 
985 #undef __FUNCT__
986 #define __FUNCT__ "MatSolveTranspose_MUMPS"
987 PetscErrorCode MatSolveTranspose_MUMPS(Mat A,Vec b,Vec x)
988 {
989   Mat_MUMPS      *mumps=(Mat_MUMPS*)A->data;
990   PetscErrorCode ierr;
991 
992   PetscFunctionBegin;
993   mumps->id.ICNTL(9) = 0;
994   ierr = MatSolve_MUMPS(A,b,x);CHKERRQ(ierr);
995   mumps->id.ICNTL(9) = 1;
996   PetscFunctionReturn(0);
997 }
998 
999 #undef __FUNCT__
1000 #define __FUNCT__ "MatMatSolve_MUMPS"
1001 PetscErrorCode MatMatSolve_MUMPS(Mat A,Mat B,Mat X)
1002 {
1003   PetscErrorCode ierr;
1004   PetscBool      flg;
1005   Mat_MUMPS      *mumps=(Mat_MUMPS*)A->data;
1006   PetscInt       i,nrhs,M;
1007   PetscScalar    *array,*bray;
1008 
1009   PetscFunctionBegin;
1010   ierr = PetscObjectTypeCompareAny((PetscObject)B,&flg,MATSEQDENSE,MATMPIDENSE,NULL);CHKERRQ(ierr);
1011   if (!flg) SETERRQ(PetscObjectComm((PetscObject)B),PETSC_ERR_ARG_WRONG,"Matrix B must be MATDENSE matrix");
1012   ierr = PetscObjectTypeCompareAny((PetscObject)X,&flg,MATSEQDENSE,MATMPIDENSE,NULL);CHKERRQ(ierr);
1013   if (!flg) SETERRQ(PetscObjectComm((PetscObject)X),PETSC_ERR_ARG_WRONG,"Matrix X must be MATDENSE matrix");
1014   if (B->rmap->n != X->rmap->n) SETERRQ(PetscObjectComm((PetscObject)B),PETSC_ERR_ARG_WRONG,"Matrix B and X must have same row distribution");
1015 
1016   ierr = MatGetSize(B,&M,&nrhs);CHKERRQ(ierr);
1017   mumps->id.nrhs = nrhs;
1018   mumps->id.lrhs = M;
1019 
1020   if (mumps->size == 1) {
1021     /* copy B to X */
1022     ierr = MatDenseGetArray(B,&bray);CHKERRQ(ierr);
1023     ierr = MatDenseGetArray(X,&array);CHKERRQ(ierr);
1024     ierr = PetscMemcpy(array,bray,M*nrhs*sizeof(PetscScalar));CHKERRQ(ierr);
1025     ierr = MatDenseRestoreArray(B,&bray);CHKERRQ(ierr);
1026     mumps->id.rhs = (MumpsScalar*)array;
1027     /* handle condensation step of Schur complement (if any) */
1028     ierr = MatMumpsHandleSchur_Private(mumps,PETSC_FALSE);CHKERRQ(ierr);
1029 
1030     /* solve phase */
1031     /*-------------*/
1032     mumps->id.job = JOB_SOLVE;
1033     PetscMUMPS_c(&mumps->id);
1034     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));
1035 
1036     /* handle expansion step of Schur complement (if any) */
1037     ierr = MatMumpsHandleSchur_Private(mumps,PETSC_TRUE);CHKERRQ(ierr);
1038     ierr = MatDenseRestoreArray(X,&array);CHKERRQ(ierr);
1039   } else {  /*--------- parallel case --------*/
1040     PetscInt       lsol_loc,nlsol_loc,*isol_loc,*idx,*iidx,*idxx,*isol_loc_save;
1041     MumpsScalar    *sol_loc,*sol_loc_save;
1042     IS             is_to,is_from;
1043     PetscInt       k,proc,j,m;
1044     const PetscInt *rstart;
1045     Vec            v_mpi,b_seq,x_seq;
1046     VecScatter     scat_rhs,scat_sol;
1047 
1048     /* create x_seq to hold local solution */
1049     isol_loc_save = mumps->id.isol_loc; /* save it for MatSovle() */
1050     sol_loc_save  = mumps->id.sol_loc;
1051 
1052     lsol_loc  = mumps->id.INFO(23);
1053     nlsol_loc = nrhs*lsol_loc;     /* length of sol_loc */
1054     ierr = PetscMalloc2(nlsol_loc,&sol_loc,nlsol_loc,&isol_loc);CHKERRQ(ierr);
1055     mumps->id.sol_loc = (MumpsScalar*)sol_loc;
1056     mumps->id.isol_loc = isol_loc;
1057 
1058     ierr = VecCreateSeqWithArray(PETSC_COMM_SELF,1,nlsol_loc,(PetscScalar*)sol_loc,&x_seq);CHKERRQ(ierr);
1059 
1060     /* copy rhs matrix B into vector v_mpi */
1061     ierr = MatGetLocalSize(B,&m,NULL);CHKERRQ(ierr);
1062     ierr = MatDenseGetArray(B,&bray);CHKERRQ(ierr);
1063     ierr = VecCreateMPIWithArray(PetscObjectComm((PetscObject)B),1,nrhs*m,nrhs*M,(const PetscScalar*)bray,&v_mpi);CHKERRQ(ierr);
1064     ierr = MatDenseRestoreArray(B,&bray);CHKERRQ(ierr);
1065 
1066     /* scatter v_mpi to b_seq because MUMPS only supports centralized rhs */
1067     /* idx: maps from k-th index of v_mpi to (i,j)-th global entry of B;
1068       iidx: inverse of idx, will be used by scattering xx_seq -> X       */
1069     ierr = PetscMalloc2(nrhs*M,&idx,nrhs*M,&iidx);CHKERRQ(ierr);
1070     ierr = MatGetOwnershipRanges(B,&rstart);CHKERRQ(ierr);
1071     k = 0;
1072     for (proc=0; proc<mumps->size; proc++){
1073       for (j=0; j<nrhs; j++){
1074         for (i=rstart[proc]; i<rstart[proc+1]; i++){
1075           iidx[j*M + i] = k;
1076           idx[k++]      = j*M + i;
1077         }
1078       }
1079     }
1080 
1081     if (!mumps->myid) {
1082       ierr = VecCreateSeq(PETSC_COMM_SELF,nrhs*M,&b_seq);CHKERRQ(ierr);
1083       ierr = ISCreateGeneral(PETSC_COMM_SELF,nrhs*M,idx,PETSC_COPY_VALUES,&is_to);CHKERRQ(ierr);
1084       ierr = ISCreateStride(PETSC_COMM_SELF,nrhs*M,0,1,&is_from);CHKERRQ(ierr);
1085     } else {
1086       ierr = VecCreateSeq(PETSC_COMM_SELF,0,&b_seq);CHKERRQ(ierr);
1087       ierr = ISCreateStride(PETSC_COMM_SELF,0,0,1,&is_to);CHKERRQ(ierr);
1088       ierr = ISCreateStride(PETSC_COMM_SELF,0,0,1,&is_from);CHKERRQ(ierr);
1089     }
1090     ierr = VecScatterCreate(v_mpi,is_from,b_seq,is_to,&scat_rhs);CHKERRQ(ierr);
1091     ierr = VecScatterBegin(scat_rhs,v_mpi,b_seq,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1092     ierr = ISDestroy(&is_to);CHKERRQ(ierr);
1093     ierr = ISDestroy(&is_from);CHKERRQ(ierr);
1094     ierr = VecScatterEnd(scat_rhs,v_mpi,b_seq,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1095 
1096     if (!mumps->myid) { /* define rhs on the host */
1097       ierr = VecGetArray(b_seq,&bray);CHKERRQ(ierr);
1098       mumps->id.rhs = (MumpsScalar*)bray;
1099       ierr = VecRestoreArray(b_seq,&bray);CHKERRQ(ierr);
1100     }
1101 
1102     /* solve phase */
1103     /*-------------*/
1104     mumps->id.job = JOB_SOLVE;
1105     PetscMUMPS_c(&mumps->id);
1106     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));
1107 
1108     /* scatter mumps distributed solution to petsc vector v_mpi, which shares local arrays with solution matrix X */
1109     ierr = MatDenseGetArray(X,&array);CHKERRQ(ierr);
1110     ierr = VecPlaceArray(v_mpi,array);CHKERRQ(ierr);
1111 
1112     /* create scatter scat_sol */
1113     ierr = PetscMalloc1(nlsol_loc,&idxx);CHKERRQ(ierr);
1114     ierr = ISCreateStride(PETSC_COMM_SELF,nlsol_loc,0,1,&is_from);CHKERRQ(ierr);
1115     for (i=0; i<lsol_loc; i++) {
1116       isol_loc[i] -= 1; /* change Fortran style to C style */
1117       idxx[i] = iidx[isol_loc[i]];
1118       for (j=1; j<nrhs; j++){
1119         idxx[j*lsol_loc+i] = iidx[isol_loc[i]+j*M];
1120       }
1121     }
1122     ierr = ISCreateGeneral(PETSC_COMM_SELF,nlsol_loc,idxx,PETSC_COPY_VALUES,&is_to);CHKERRQ(ierr);
1123     ierr = VecScatterCreate(x_seq,is_from,v_mpi,is_to,&scat_sol);CHKERRQ(ierr);
1124     ierr = VecScatterBegin(scat_sol,x_seq,v_mpi,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1125     ierr = ISDestroy(&is_from);CHKERRQ(ierr);
1126     ierr = ISDestroy(&is_to);CHKERRQ(ierr);
1127     ierr = VecScatterEnd(scat_sol,x_seq,v_mpi,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1128     ierr = MatDenseRestoreArray(X,&array);CHKERRQ(ierr);
1129 
1130     /* free spaces */
1131     mumps->id.sol_loc = sol_loc_save;
1132     mumps->id.isol_loc = isol_loc_save;
1133 
1134     ierr = PetscFree2(sol_loc,isol_loc);CHKERRQ(ierr);
1135     ierr = PetscFree2(idx,iidx);CHKERRQ(ierr);
1136     ierr = PetscFree(idxx);CHKERRQ(ierr);
1137     ierr = VecDestroy(&x_seq);CHKERRQ(ierr);
1138     ierr = VecDestroy(&v_mpi);CHKERRQ(ierr);
1139     ierr = VecDestroy(&b_seq);CHKERRQ(ierr);
1140     ierr = VecScatterDestroy(&scat_rhs);CHKERRQ(ierr);
1141     ierr = VecScatterDestroy(&scat_sol);CHKERRQ(ierr);
1142   }
1143   PetscFunctionReturn(0);
1144 }
1145 
1146 #if !defined(PETSC_USE_COMPLEX)
1147 /*
1148   input:
1149    F:        numeric factor
1150   output:
1151    nneg:     total number of negative pivots
1152    nzero:    total number of zero pivots
1153    npos:     (global dimension of F) - nneg - nzero
1154 */
1155 #undef __FUNCT__
1156 #define __FUNCT__ "MatGetInertia_SBAIJMUMPS"
1157 PetscErrorCode MatGetInertia_SBAIJMUMPS(Mat F,int *nneg,int *nzero,int *npos)
1158 {
1159   Mat_MUMPS      *mumps =(Mat_MUMPS*)F->data;
1160   PetscErrorCode ierr;
1161   PetscMPIInt    size;
1162 
1163   PetscFunctionBegin;
1164   ierr = MPI_Comm_size(PetscObjectComm((PetscObject)F),&size);CHKERRQ(ierr);
1165   /* 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 */
1166   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));
1167 
1168   if (nneg) *nneg = mumps->id.INFOG(12);
1169   if (nzero || npos) {
1170     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");
1171     if (nzero) *nzero = mumps->id.INFOG(28);
1172     if (npos) *npos   = F->rmap->N - (mumps->id.INFOG(12) + mumps->id.INFOG(28));
1173   }
1174   PetscFunctionReturn(0);
1175 }
1176 #endif
1177 
1178 #undef __FUNCT__
1179 #define __FUNCT__ "MatFactorNumeric_MUMPS"
1180 PetscErrorCode MatFactorNumeric_MUMPS(Mat F,Mat A,const MatFactorInfo *info)
1181 {
1182   Mat_MUMPS      *mumps =(Mat_MUMPS*)(F)->data;
1183   PetscErrorCode ierr;
1184   PetscBool      isMPIAIJ;
1185 
1186   PetscFunctionBegin;
1187   if (mumps->id.INFOG(1) < 0) {
1188     if (mumps->id.INFOG(1) == -6) {
1189       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);
1190     }
1191     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);
1192     PetscFunctionReturn(0);
1193   }
1194 
1195   ierr = (*mumps->ConvertToTriples)(A, 1, MAT_REUSE_MATRIX, &mumps->nz, &mumps->irn, &mumps->jcn, &mumps->val);CHKERRQ(ierr);
1196 
1197   /* numerical factorization phase */
1198   /*-------------------------------*/
1199   mumps->id.job = JOB_FACTNUMERIC;
1200   if (!mumps->id.ICNTL(18)) { /* A is centralized */
1201     if (!mumps->myid) {
1202       mumps->id.a = (MumpsScalar*)mumps->val;
1203     }
1204   } else {
1205     mumps->id.a_loc = (MumpsScalar*)mumps->val;
1206   }
1207   PetscMUMPS_c(&mumps->id);
1208   if (mumps->id.INFOG(1) < 0) {
1209     if (A->erroriffailure) {
1210       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));
1211     } else {
1212       if (mumps->id.INFOG(1) == -10) { /* numerically singular matrix */
1213         ierr = PetscInfo2(F,"matrix is numerically singular, INFOG(1)=%d, INFO(2)=%d\n",mumps->id.INFOG(1),mumps->id.INFO(2));CHKERRQ(ierr);
1214         F->factorerrortype = MAT_FACTOR_NUMERIC_ZEROPIVOT;
1215       } else if (mumps->id.INFOG(1) == -13) {
1216         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);
1217         F->factorerrortype = MAT_FACTOR_OUTMEMORY;
1218       } else if (mumps->id.INFOG(1) == -8 || mumps->id.INFOG(1) == -9 || (-16 < mumps->id.INFOG(1) && mumps->id.INFOG(1) < -10) ) {
1219         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);
1220         F->factorerrortype = MAT_FACTOR_OUTMEMORY;
1221       } else {
1222         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);
1223         F->factorerrortype = MAT_FACTOR_OTHER;
1224       }
1225     }
1226   }
1227   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));
1228 
1229   (F)->assembled        = PETSC_TRUE;
1230   mumps->matstruc       = SAME_NONZERO_PATTERN;
1231   mumps->schur_factored = PETSC_FALSE;
1232   mumps->schur_inverted = PETSC_FALSE;
1233 
1234   /* just to be sure that ICNTL(19) value returned by a call from MatMumpsGetIcntl is always consistent */
1235   if (!mumps->sym && mumps->id.ICNTL(19) && mumps->id.ICNTL(19) != 1) mumps->id.ICNTL(19) = 3;
1236 
1237   if (mumps->size > 1) {
1238     PetscInt    lsol_loc;
1239     PetscScalar *sol_loc;
1240 
1241     ierr = PetscObjectTypeCompare((PetscObject)A,MATMPIAIJ,&isMPIAIJ);CHKERRQ(ierr);
1242 
1243     /* distributed solution; Create x_seq=sol_loc for repeated use */
1244     if (mumps->x_seq) {
1245       ierr = VecScatterDestroy(&mumps->scat_sol);CHKERRQ(ierr);
1246       ierr = PetscFree2(mumps->id.sol_loc,mumps->id.isol_loc);CHKERRQ(ierr);
1247       ierr = VecDestroy(&mumps->x_seq);CHKERRQ(ierr);
1248     }
1249     lsol_loc = mumps->id.INFO(23); /* length of sol_loc */
1250     ierr = PetscMalloc2(lsol_loc,&sol_loc,lsol_loc,&mumps->id.isol_loc);CHKERRQ(ierr);
1251     mumps->id.lsol_loc = lsol_loc;
1252     mumps->id.sol_loc = (MumpsScalar*)sol_loc;
1253     ierr = VecCreateSeqWithArray(PETSC_COMM_SELF,1,lsol_loc,sol_loc,&mumps->x_seq);CHKERRQ(ierr);
1254   }
1255   PetscFunctionReturn(0);
1256 }
1257 
1258 /* Sets MUMPS options from the options database */
1259 #undef __FUNCT__
1260 #define __FUNCT__ "PetscSetMUMPSFromOptions"
1261 PetscErrorCode PetscSetMUMPSFromOptions(Mat F, Mat A)
1262 {
1263   Mat_MUMPS      *mumps = (Mat_MUMPS*)F->data;
1264   PetscErrorCode ierr;
1265   PetscInt       icntl,info[40],i,ninfo=40;
1266   PetscBool      flg;
1267 
1268   PetscFunctionBegin;
1269   ierr = PetscOptionsBegin(PetscObjectComm((PetscObject)A),((PetscObject)A)->prefix,"MUMPS Options","Mat");CHKERRQ(ierr);
1270   ierr = PetscOptionsInt("-mat_mumps_icntl_1","ICNTL(1): output stream for error messages","None",mumps->id.ICNTL(1),&icntl,&flg);CHKERRQ(ierr);
1271   if (flg) mumps->id.ICNTL(1) = icntl;
1272   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);
1273   if (flg) mumps->id.ICNTL(2) = icntl;
1274   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);
1275   if (flg) mumps->id.ICNTL(3) = icntl;
1276 
1277   ierr = PetscOptionsInt("-mat_mumps_icntl_4","ICNTL(4): level of printing (0 to 4)","None",mumps->id.ICNTL(4),&icntl,&flg);CHKERRQ(ierr);
1278   if (flg) mumps->id.ICNTL(4) = icntl;
1279   if (mumps->id.ICNTL(4) || PetscLogPrintInfo) mumps->id.ICNTL(3) = 6; /* resume MUMPS default id.ICNTL(3) = 6 */
1280 
1281   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);
1282   if (flg) mumps->id.ICNTL(6) = icntl;
1283 
1284   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);
1285   if (flg) {
1286     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");
1287     else mumps->id.ICNTL(7) = icntl;
1288   }
1289 
1290   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);
1291   /* 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() */
1292   ierr = PetscOptionsInt("-mat_mumps_icntl_10","ICNTL(10): max num of refinements","None",mumps->id.ICNTL(10),&mumps->id.ICNTL(10),NULL);CHKERRQ(ierr);
1293   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);
1294   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);
1295   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);
1296   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);
1297   ierr = PetscOptionsInt("-mat_mumps_icntl_19","ICNTL(19): computes the Schur complement","None",mumps->id.ICNTL(19),&mumps->id.ICNTL(19),NULL);CHKERRQ(ierr);
1298   if (mumps->id.ICNTL(19) <= 0 || mumps->id.ICNTL(19) > 3) { /* reset any schur data (if any) */
1299     ierr = MatMumpsResetSchur_Private(mumps);CHKERRQ(ierr);
1300   }
1301   /* 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 */
1302   /* 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 */
1303 
1304   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);
1305   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);
1306   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);
1307   if (mumps->id.ICNTL(24)) {
1308     mumps->id.ICNTL(13) = 1; /* turn-off ScaLAPACK to help with the correct detection of null pivots */
1309   }
1310 
1311   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);
1312   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);
1313   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);
1314   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);
1315   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);
1316   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);
1317   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);
1318   /* 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 */
1319   ierr = PetscOptionsInt("-mat_mumps_icntl_33","ICNTL(33): compute determinant","None",mumps->id.ICNTL(33),&mumps->id.ICNTL(33),NULL);CHKERRQ(ierr);
1320 
1321   ierr = PetscOptionsReal("-mat_mumps_cntl_1","CNTL(1): relative pivoting threshold","None",mumps->id.CNTL(1),&mumps->id.CNTL(1),NULL);CHKERRQ(ierr);
1322   ierr = PetscOptionsReal("-mat_mumps_cntl_2","CNTL(2): stopping criterion of refinement","None",mumps->id.CNTL(2),&mumps->id.CNTL(2),NULL);CHKERRQ(ierr);
1323   ierr = PetscOptionsReal("-mat_mumps_cntl_3","CNTL(3): absolute pivoting threshold","None",mumps->id.CNTL(3),&mumps->id.CNTL(3),NULL);CHKERRQ(ierr);
1324   ierr = PetscOptionsReal("-mat_mumps_cntl_4","CNTL(4): value for static pivoting","None",mumps->id.CNTL(4),&mumps->id.CNTL(4),NULL);CHKERRQ(ierr);
1325   ierr = PetscOptionsReal("-mat_mumps_cntl_5","CNTL(5): fixation for null pivots","None",mumps->id.CNTL(5),&mumps->id.CNTL(5),NULL);CHKERRQ(ierr);
1326 
1327   ierr = PetscOptionsString("-mat_mumps_ooc_tmpdir", "out of core directory", "None", mumps->id.ooc_tmpdir, mumps->id.ooc_tmpdir, 256, NULL);CHKERRQ(ierr);
1328 
1329   ierr = PetscOptionsIntArray("-mat_mumps_view_info","request INFO local to each processor","",info,&ninfo,NULL);CHKERRQ(ierr);
1330   if (ninfo) {
1331     if (ninfo > 40) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_USER,"number of INFO %d must <= 40\n",ninfo);
1332     ierr = PetscMalloc1(ninfo,&mumps->info);CHKERRQ(ierr);
1333     mumps->ninfo = ninfo;
1334     for (i=0; i<ninfo; i++) {
1335       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);
1336       else  mumps->info[i] = info[i];
1337     }
1338   }
1339 
1340   ierr = PetscOptionsEnd();CHKERRQ(ierr);
1341   PetscFunctionReturn(0);
1342 }
1343 
1344 #undef __FUNCT__
1345 #define __FUNCT__ "PetscInitializeMUMPS"
1346 PetscErrorCode PetscInitializeMUMPS(Mat A,Mat_MUMPS *mumps)
1347 {
1348   PetscErrorCode ierr;
1349 
1350   PetscFunctionBegin;
1351   ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)A), &mumps->myid);CHKERRQ(ierr);
1352   ierr = MPI_Comm_size(PetscObjectComm((PetscObject)A),&mumps->size);CHKERRQ(ierr);
1353   ierr = MPI_Comm_dup(PetscObjectComm((PetscObject)A),&(mumps->comm_mumps));CHKERRQ(ierr);
1354 
1355   mumps->id.comm_fortran = MPI_Comm_c2f(mumps->comm_mumps);
1356 
1357   mumps->id.job = JOB_INIT;
1358   mumps->id.par = 1;  /* host participates factorizaton and solve */
1359   mumps->id.sym = mumps->sym;
1360   PetscMUMPS_c(&mumps->id);
1361 
1362   mumps->scat_rhs     = NULL;
1363   mumps->scat_sol     = NULL;
1364 
1365   /* set PETSc-MUMPS default options - override MUMPS default */
1366   mumps->id.ICNTL(3) = 0;
1367   mumps->id.ICNTL(4) = 0;
1368   if (mumps->size == 1) {
1369     mumps->id.ICNTL(18) = 0;   /* centralized assembled matrix input */
1370   } else {
1371     mumps->id.ICNTL(18) = 3;   /* distributed assembled matrix input */
1372     mumps->id.ICNTL(20) = 0;   /* rhs is in dense format */
1373     mumps->id.ICNTL(21) = 1;   /* distributed solution */
1374   }
1375 
1376   /* schur */
1377   mumps->id.size_schur      = 0;
1378   mumps->id.listvar_schur   = NULL;
1379   mumps->id.schur           = NULL;
1380   mumps->sizeredrhs         = 0;
1381   mumps->schur_pivots       = NULL;
1382   mumps->schur_work         = NULL;
1383   mumps->schur_sol          = NULL;
1384   mumps->schur_sizesol      = 0;
1385   mumps->schur_factored     = PETSC_FALSE;
1386   mumps->schur_inverted     = PETSC_FALSE;
1387   PetscFunctionReturn(0);
1388 }
1389 
1390 #undef __FUNCT__
1391 #define __FUNCT__ "MatFactorSymbolic_MUMPS_ReportIfError"
1392 PetscErrorCode MatFactorSymbolic_MUMPS_ReportIfError(Mat F,Mat A,const MatFactorInfo *info,Mat_MUMPS *mumps)
1393 {
1394   PetscErrorCode ierr;
1395 
1396   PetscFunctionBegin;
1397   if (mumps->id.INFOG(1) < 0) {
1398     if (A->erroriffailure) {
1399       SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error reported by MUMPS in analysis phase: INFOG(1)=%d\n",mumps->id.INFOG(1));
1400     } else {
1401       if (mumps->id.INFOG(1) == -6) {
1402         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);
1403         F->factorerrortype = MAT_FACTOR_STRUCT_ZEROPIVOT;
1404       } else if (mumps->id.INFOG(1) == -5 || mumps->id.INFOG(1) == -7) {
1405         ierr = PetscInfo2(F,"problem of workspace, INFOG(1)=%d, INFO(2)=%d\n",mumps->id.INFOG(1),mumps->id.INFO(2));CHKERRQ(ierr);
1406         F->factorerrortype = MAT_FACTOR_OUTMEMORY;
1407       } else {
1408         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);
1409         F->factorerrortype = MAT_FACTOR_OTHER;
1410       }
1411     }
1412   }
1413   PetscFunctionReturn(0);
1414 }
1415 
1416 /* Note Petsc r(=c) permutation is used when mumps->id.ICNTL(7)==1 with centralized assembled matrix input; otherwise r and c are ignored */
1417 #undef __FUNCT__
1418 #define __FUNCT__ "MatLUFactorSymbolic_AIJMUMPS"
1419 PetscErrorCode MatLUFactorSymbolic_AIJMUMPS(Mat F,Mat A,IS r,IS c,const MatFactorInfo *info)
1420 {
1421   Mat_MUMPS      *mumps = (Mat_MUMPS*)F->data;
1422   PetscErrorCode ierr;
1423   Vec            b;
1424   IS             is_iden;
1425   const PetscInt M = A->rmap->N;
1426 
1427   PetscFunctionBegin;
1428   mumps->matstruc = DIFFERENT_NONZERO_PATTERN;
1429 
1430   /* Set MUMPS options from the options database */
1431   ierr = PetscSetMUMPSFromOptions(F,A);CHKERRQ(ierr);
1432 
1433   ierr = (*mumps->ConvertToTriples)(A, 1, MAT_INITIAL_MATRIX, &mumps->nz, &mumps->irn, &mumps->jcn, &mumps->val);CHKERRQ(ierr);
1434 
1435   /* analysis phase */
1436   /*----------------*/
1437   mumps->id.job = JOB_FACTSYMBOLIC;
1438   mumps->id.n   = M;
1439   switch (mumps->id.ICNTL(18)) {
1440   case 0:  /* centralized assembled matrix input */
1441     if (!mumps->myid) {
1442       mumps->id.nz =mumps->nz; mumps->id.irn=mumps->irn; mumps->id.jcn=mumps->jcn;
1443       if (mumps->id.ICNTL(6)>1) {
1444         mumps->id.a = (MumpsScalar*)mumps->val;
1445       }
1446       if (mumps->id.ICNTL(7) == 1) { /* use user-provide matrix ordering - assuming r = c ordering */
1447         /*
1448         PetscBool      flag;
1449         ierr = ISEqual(r,c,&flag);CHKERRQ(ierr);
1450         if (!flag) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_USER,"row_perm != col_perm");
1451         ierr = ISView(r,PETSC_VIEWER_STDOUT_SELF);
1452          */
1453         if (!mumps->myid) {
1454           const PetscInt *idx;
1455           PetscInt       i,*perm_in;
1456 
1457           ierr = PetscMalloc1(M,&perm_in);CHKERRQ(ierr);
1458           ierr = ISGetIndices(r,&idx);CHKERRQ(ierr);
1459 
1460           mumps->id.perm_in = perm_in;
1461           for (i=0; i<M; i++) perm_in[i] = idx[i]+1; /* perm_in[]: start from 1, not 0! */
1462           ierr = ISRestoreIndices(r,&idx);CHKERRQ(ierr);
1463         }
1464       }
1465     }
1466     break;
1467   case 3:  /* distributed assembled matrix input (size>1) */
1468     mumps->id.nz_loc = mumps->nz;
1469     mumps->id.irn_loc=mumps->irn; mumps->id.jcn_loc=mumps->jcn;
1470     if (mumps->id.ICNTL(6)>1) {
1471       mumps->id.a_loc = (MumpsScalar*)mumps->val;
1472     }
1473     /* MUMPS only supports centralized rhs. Create scatter scat_rhs for repeated use in MatSolve() */
1474     if (!mumps->myid) {
1475       ierr = VecCreateSeq(PETSC_COMM_SELF,A->rmap->N,&mumps->b_seq);CHKERRQ(ierr);
1476       ierr = ISCreateStride(PETSC_COMM_SELF,A->rmap->N,0,1,&is_iden);CHKERRQ(ierr);
1477     } else {
1478       ierr = VecCreateSeq(PETSC_COMM_SELF,0,&mumps->b_seq);CHKERRQ(ierr);
1479       ierr = ISCreateStride(PETSC_COMM_SELF,0,0,1,&is_iden);CHKERRQ(ierr);
1480     }
1481     ierr = MatCreateVecs(A,NULL,&b);CHKERRQ(ierr);
1482     ierr = VecScatterCreate(b,is_iden,mumps->b_seq,is_iden,&mumps->scat_rhs);CHKERRQ(ierr);
1483     ierr = ISDestroy(&is_iden);CHKERRQ(ierr);
1484     ierr = VecDestroy(&b);CHKERRQ(ierr);
1485     break;
1486   }
1487   PetscMUMPS_c(&mumps->id);
1488   ierr = MatFactorSymbolic_MUMPS_ReportIfError(F,A,info,mumps);CHKERRQ(ierr);
1489 
1490   F->ops->lufactornumeric = MatFactorNumeric_MUMPS;
1491   F->ops->solve           = MatSolve_MUMPS;
1492   F->ops->solvetranspose  = MatSolveTranspose_MUMPS;
1493   F->ops->matsolve        = MatMatSolve_MUMPS;
1494   PetscFunctionReturn(0);
1495 }
1496 
1497 /* Note the Petsc r and c permutations are ignored */
1498 #undef __FUNCT__
1499 #define __FUNCT__ "MatLUFactorSymbolic_BAIJMUMPS"
1500 PetscErrorCode MatLUFactorSymbolic_BAIJMUMPS(Mat F,Mat A,IS r,IS c,const MatFactorInfo *info)
1501 {
1502   Mat_MUMPS      *mumps = (Mat_MUMPS*)F->data;
1503   PetscErrorCode ierr;
1504   Vec            b;
1505   IS             is_iden;
1506   const PetscInt M = A->rmap->N;
1507 
1508   PetscFunctionBegin;
1509   mumps->matstruc = DIFFERENT_NONZERO_PATTERN;
1510 
1511   /* Set MUMPS options from the options database */
1512   ierr = PetscSetMUMPSFromOptions(F,A);CHKERRQ(ierr);
1513 
1514   ierr = (*mumps->ConvertToTriples)(A, 1, MAT_INITIAL_MATRIX, &mumps->nz, &mumps->irn, &mumps->jcn, &mumps->val);CHKERRQ(ierr);
1515 
1516   /* analysis phase */
1517   /*----------------*/
1518   mumps->id.job = JOB_FACTSYMBOLIC;
1519   mumps->id.n   = M;
1520   switch (mumps->id.ICNTL(18)) {
1521   case 0:  /* centralized assembled matrix input */
1522     if (!mumps->myid) {
1523       mumps->id.nz =mumps->nz; mumps->id.irn=mumps->irn; mumps->id.jcn=mumps->jcn;
1524       if (mumps->id.ICNTL(6)>1) {
1525         mumps->id.a = (MumpsScalar*)mumps->val;
1526       }
1527     }
1528     break;
1529   case 3:  /* distributed assembled matrix input (size>1) */
1530     mumps->id.nz_loc = mumps->nz;
1531     mumps->id.irn_loc=mumps->irn; mumps->id.jcn_loc=mumps->jcn;
1532     if (mumps->id.ICNTL(6)>1) {
1533       mumps->id.a_loc = (MumpsScalar*)mumps->val;
1534     }
1535     /* MUMPS only supports centralized rhs. Create scatter scat_rhs for repeated use in MatSolve() */
1536     if (!mumps->myid) {
1537       ierr = VecCreateSeq(PETSC_COMM_SELF,A->cmap->N,&mumps->b_seq);CHKERRQ(ierr);
1538       ierr = ISCreateStride(PETSC_COMM_SELF,A->cmap->N,0,1,&is_iden);CHKERRQ(ierr);
1539     } else {
1540       ierr = VecCreateSeq(PETSC_COMM_SELF,0,&mumps->b_seq);CHKERRQ(ierr);
1541       ierr = ISCreateStride(PETSC_COMM_SELF,0,0,1,&is_iden);CHKERRQ(ierr);
1542     }
1543     ierr = MatCreateVecs(A,NULL,&b);CHKERRQ(ierr);
1544     ierr = VecScatterCreate(b,is_iden,mumps->b_seq,is_iden,&mumps->scat_rhs);CHKERRQ(ierr);
1545     ierr = ISDestroy(&is_iden);CHKERRQ(ierr);
1546     ierr = VecDestroy(&b);CHKERRQ(ierr);
1547     break;
1548   }
1549   PetscMUMPS_c(&mumps->id);
1550   ierr = MatFactorSymbolic_MUMPS_ReportIfError(F,A,info,mumps);CHKERRQ(ierr);
1551 
1552   F->ops->lufactornumeric = MatFactorNumeric_MUMPS;
1553   F->ops->solve           = MatSolve_MUMPS;
1554   F->ops->solvetranspose  = MatSolveTranspose_MUMPS;
1555   PetscFunctionReturn(0);
1556 }
1557 
1558 /* Note the Petsc r permutation and factor info are ignored */
1559 #undef __FUNCT__
1560 #define __FUNCT__ "MatCholeskyFactorSymbolic_MUMPS"
1561 PetscErrorCode MatCholeskyFactorSymbolic_MUMPS(Mat F,Mat A,IS r,const MatFactorInfo *info)
1562 {
1563   Mat_MUMPS      *mumps = (Mat_MUMPS*)F->data;
1564   PetscErrorCode ierr;
1565   Vec            b;
1566   IS             is_iden;
1567   const PetscInt M = A->rmap->N;
1568 
1569   PetscFunctionBegin;
1570   mumps->matstruc = DIFFERENT_NONZERO_PATTERN;
1571 
1572   /* Set MUMPS options from the options database */
1573   ierr = PetscSetMUMPSFromOptions(F,A);CHKERRQ(ierr);
1574 
1575   ierr = (*mumps->ConvertToTriples)(A, 1, MAT_INITIAL_MATRIX, &mumps->nz, &mumps->irn, &mumps->jcn, &mumps->val);CHKERRQ(ierr);
1576 
1577   /* analysis phase */
1578   /*----------------*/
1579   mumps->id.job = JOB_FACTSYMBOLIC;
1580   mumps->id.n   = M;
1581   switch (mumps->id.ICNTL(18)) {
1582   case 0:  /* centralized assembled matrix input */
1583     if (!mumps->myid) {
1584       mumps->id.nz =mumps->nz; mumps->id.irn=mumps->irn; mumps->id.jcn=mumps->jcn;
1585       if (mumps->id.ICNTL(6)>1) {
1586         mumps->id.a = (MumpsScalar*)mumps->val;
1587       }
1588     }
1589     break;
1590   case 3:  /* distributed assembled matrix input (size>1) */
1591     mumps->id.nz_loc = mumps->nz;
1592     mumps->id.irn_loc=mumps->irn; mumps->id.jcn_loc=mumps->jcn;
1593     if (mumps->id.ICNTL(6)>1) {
1594       mumps->id.a_loc = (MumpsScalar*)mumps->val;
1595     }
1596     /* MUMPS only supports centralized rhs. Create scatter scat_rhs for repeated use in MatSolve() */
1597     if (!mumps->myid) {
1598       ierr = VecCreateSeq(PETSC_COMM_SELF,A->cmap->N,&mumps->b_seq);CHKERRQ(ierr);
1599       ierr = ISCreateStride(PETSC_COMM_SELF,A->cmap->N,0,1,&is_iden);CHKERRQ(ierr);
1600     } else {
1601       ierr = VecCreateSeq(PETSC_COMM_SELF,0,&mumps->b_seq);CHKERRQ(ierr);
1602       ierr = ISCreateStride(PETSC_COMM_SELF,0,0,1,&is_iden);CHKERRQ(ierr);
1603     }
1604     ierr = MatCreateVecs(A,NULL,&b);CHKERRQ(ierr);
1605     ierr = VecScatterCreate(b,is_iden,mumps->b_seq,is_iden,&mumps->scat_rhs);CHKERRQ(ierr);
1606     ierr = ISDestroy(&is_iden);CHKERRQ(ierr);
1607     ierr = VecDestroy(&b);CHKERRQ(ierr);
1608     break;
1609   }
1610   PetscMUMPS_c(&mumps->id);
1611   ierr = MatFactorSymbolic_MUMPS_ReportIfError(F,A,info,mumps);CHKERRQ(ierr);
1612 
1613   F->ops->choleskyfactornumeric = MatFactorNumeric_MUMPS;
1614   F->ops->solve                 = MatSolve_MUMPS;
1615   F->ops->solvetranspose        = MatSolve_MUMPS;
1616   F->ops->matsolve              = MatMatSolve_MUMPS;
1617 #if defined(PETSC_USE_COMPLEX)
1618   F->ops->getinertia = NULL;
1619 #else
1620   F->ops->getinertia = MatGetInertia_SBAIJMUMPS;
1621 #endif
1622   PetscFunctionReturn(0);
1623 }
1624 
1625 #undef __FUNCT__
1626 #define __FUNCT__ "MatView_MUMPS"
1627 PetscErrorCode MatView_MUMPS(Mat A,PetscViewer viewer)
1628 {
1629   PetscErrorCode    ierr;
1630   PetscBool         iascii;
1631   PetscViewerFormat format;
1632   Mat_MUMPS         *mumps=(Mat_MUMPS*)A->data;
1633 
1634   PetscFunctionBegin;
1635   /* check if matrix is mumps type */
1636   if (A->ops->solve != MatSolve_MUMPS) PetscFunctionReturn(0);
1637 
1638   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&iascii);CHKERRQ(ierr);
1639   if (iascii) {
1640     ierr = PetscViewerGetFormat(viewer,&format);CHKERRQ(ierr);
1641     if (format == PETSC_VIEWER_ASCII_INFO) {
1642       ierr = PetscViewerASCIIPrintf(viewer,"MUMPS run parameters:\n");CHKERRQ(ierr);
1643       ierr = PetscViewerASCIIPrintf(viewer,"  SYM (matrix type):                   %d \n",mumps->id.sym);CHKERRQ(ierr);
1644       ierr = PetscViewerASCIIPrintf(viewer,"  PAR (host participation):            %d \n",mumps->id.par);CHKERRQ(ierr);
1645       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(1) (output for error):         %d \n",mumps->id.ICNTL(1));CHKERRQ(ierr);
1646       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(2) (output of diagnostic msg): %d \n",mumps->id.ICNTL(2));CHKERRQ(ierr);
1647       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(3) (output for global info):   %d \n",mumps->id.ICNTL(3));CHKERRQ(ierr);
1648       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(4) (level of printing):        %d \n",mumps->id.ICNTL(4));CHKERRQ(ierr);
1649       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(5) (input mat struct):         %d \n",mumps->id.ICNTL(5));CHKERRQ(ierr);
1650       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(6) (matrix prescaling):        %d \n",mumps->id.ICNTL(6));CHKERRQ(ierr);
1651       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(7) (sequentia matrix ordering):%d \n",mumps->id.ICNTL(7));CHKERRQ(ierr);
1652       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(8) (scalling strategy):        %d \n",mumps->id.ICNTL(8));CHKERRQ(ierr);
1653       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(10) (max num of refinements):  %d \n",mumps->id.ICNTL(10));CHKERRQ(ierr);
1654       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(11) (error analysis):          %d \n",mumps->id.ICNTL(11));CHKERRQ(ierr);
1655       if (mumps->id.ICNTL(11)>0) {
1656         ierr = PetscViewerASCIIPrintf(viewer,"    RINFOG(4) (inf norm of input mat):        %g\n",mumps->id.RINFOG(4));CHKERRQ(ierr);
1657         ierr = PetscViewerASCIIPrintf(viewer,"    RINFOG(5) (inf norm of solution):         %g\n",mumps->id.RINFOG(5));CHKERRQ(ierr);
1658         ierr = PetscViewerASCIIPrintf(viewer,"    RINFOG(6) (inf norm of residual):         %g\n",mumps->id.RINFOG(6));CHKERRQ(ierr);
1659         ierr = PetscViewerASCIIPrintf(viewer,"    RINFOG(7),RINFOG(8) (backward error est): %g, %g\n",mumps->id.RINFOG(7),mumps->id.RINFOG(8));CHKERRQ(ierr);
1660         ierr = PetscViewerASCIIPrintf(viewer,"    RINFOG(9) (error estimate):               %g \n",mumps->id.RINFOG(9));CHKERRQ(ierr);
1661         ierr = PetscViewerASCIIPrintf(viewer,"    RINFOG(10),RINFOG(11)(condition numbers): %g, %g\n",mumps->id.RINFOG(10),mumps->id.RINFOG(11));CHKERRQ(ierr);
1662       }
1663       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(12) (efficiency control):                         %d \n",mumps->id.ICNTL(12));CHKERRQ(ierr);
1664       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(13) (efficiency control):                         %d \n",mumps->id.ICNTL(13));CHKERRQ(ierr);
1665       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(14) (percentage of estimated workspace increase): %d \n",mumps->id.ICNTL(14));CHKERRQ(ierr);
1666       /* ICNTL(15-17) not used */
1667       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(18) (input mat struct):                           %d \n",mumps->id.ICNTL(18));CHKERRQ(ierr);
1668       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(19) (Shur complement info):                       %d \n",mumps->id.ICNTL(19));CHKERRQ(ierr);
1669       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(20) (rhs sparse pattern):                         %d \n",mumps->id.ICNTL(20));CHKERRQ(ierr);
1670       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(21) (solution struct):                            %d \n",mumps->id.ICNTL(21));CHKERRQ(ierr);
1671       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(22) (in-core/out-of-core facility):               %d \n",mumps->id.ICNTL(22));CHKERRQ(ierr);
1672       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(23) (max size of memory can be allocated locally):%d \n",mumps->id.ICNTL(23));CHKERRQ(ierr);
1673 
1674       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(24) (detection of null pivot rows):               %d \n",mumps->id.ICNTL(24));CHKERRQ(ierr);
1675       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(25) (computation of a null space basis):          %d \n",mumps->id.ICNTL(25));CHKERRQ(ierr);
1676       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(26) (Schur options for rhs or solution):          %d \n",mumps->id.ICNTL(26));CHKERRQ(ierr);
1677       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(27) (experimental parameter):                     %d \n",mumps->id.ICNTL(27));CHKERRQ(ierr);
1678       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(28) (use parallel or sequential ordering):        %d \n",mumps->id.ICNTL(28));CHKERRQ(ierr);
1679       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(29) (parallel ordering):                          %d \n",mumps->id.ICNTL(29));CHKERRQ(ierr);
1680 
1681       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(30) (user-specified set of entries in inv(A)):    %d \n",mumps->id.ICNTL(30));CHKERRQ(ierr);
1682       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(31) (factors is discarded in the solve phase):    %d \n",mumps->id.ICNTL(31));CHKERRQ(ierr);
1683       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(33) (compute determinant):                        %d \n",mumps->id.ICNTL(33));CHKERRQ(ierr);
1684 
1685       ierr = PetscViewerASCIIPrintf(viewer,"  CNTL(1) (relative pivoting threshold):      %g \n",mumps->id.CNTL(1));CHKERRQ(ierr);
1686       ierr = PetscViewerASCIIPrintf(viewer,"  CNTL(2) (stopping criterion of refinement): %g \n",mumps->id.CNTL(2));CHKERRQ(ierr);
1687       ierr = PetscViewerASCIIPrintf(viewer,"  CNTL(3) (absolute pivoting threshold):      %g \n",mumps->id.CNTL(3));CHKERRQ(ierr);
1688       ierr = PetscViewerASCIIPrintf(viewer,"  CNTL(4) (value of static pivoting):         %g \n",mumps->id.CNTL(4));CHKERRQ(ierr);
1689       ierr = PetscViewerASCIIPrintf(viewer,"  CNTL(5) (fixation for null pivots):         %g \n",mumps->id.CNTL(5));CHKERRQ(ierr);
1690 
1691       /* infomation local to each processor */
1692       ierr = PetscViewerASCIIPrintf(viewer, "  RINFO(1) (local estimated flops for the elimination after analysis): \n");CHKERRQ(ierr);
1693       ierr = PetscViewerASCIIPushSynchronized(viewer);CHKERRQ(ierr);
1694       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"    [%d] %g \n",mumps->myid,mumps->id.RINFO(1));CHKERRQ(ierr);
1695       ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
1696       ierr = PetscViewerASCIIPrintf(viewer, "  RINFO(2) (local estimated flops for the assembly after factorization): \n");CHKERRQ(ierr);
1697       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"    [%d]  %g \n",mumps->myid,mumps->id.RINFO(2));CHKERRQ(ierr);
1698       ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
1699       ierr = PetscViewerASCIIPrintf(viewer, "  RINFO(3) (local estimated flops for the elimination after factorization): \n");CHKERRQ(ierr);
1700       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"    [%d]  %g \n",mumps->myid,mumps->id.RINFO(3));CHKERRQ(ierr);
1701       ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
1702 
1703       ierr = PetscViewerASCIIPrintf(viewer, "  INFO(15) (estimated size of (in MB) MUMPS internal data for running numerical factorization): \n");CHKERRQ(ierr);
1704       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"  [%d] %d \n",mumps->myid,mumps->id.INFO(15));CHKERRQ(ierr);
1705       ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
1706 
1707       ierr = PetscViewerASCIIPrintf(viewer, "  INFO(16) (size of (in MB) MUMPS internal data used during numerical factorization): \n");CHKERRQ(ierr);
1708       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"    [%d] %d \n",mumps->myid,mumps->id.INFO(16));CHKERRQ(ierr);
1709       ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
1710 
1711       ierr = PetscViewerASCIIPrintf(viewer, "  INFO(23) (num of pivots eliminated on this processor after factorization): \n");CHKERRQ(ierr);
1712       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"    [%d] %d \n",mumps->myid,mumps->id.INFO(23));CHKERRQ(ierr);
1713       ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
1714 
1715       if (mumps->ninfo && mumps->ninfo <= 40){
1716         PetscInt i;
1717         for (i=0; i<mumps->ninfo; i++){
1718           ierr = PetscViewerASCIIPrintf(viewer, "  INFO(%d): \n",mumps->info[i]);CHKERRQ(ierr);
1719           ierr = PetscViewerASCIISynchronizedPrintf(viewer,"    [%d] %d \n",mumps->myid,mumps->id.INFO(mumps->info[i]));CHKERRQ(ierr);
1720           ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
1721         }
1722       }
1723 
1724 
1725       ierr = PetscViewerASCIIPopSynchronized(viewer);CHKERRQ(ierr);
1726 
1727       if (!mumps->myid) { /* information from the host */
1728         ierr = PetscViewerASCIIPrintf(viewer,"  RINFOG(1) (global estimated flops for the elimination after analysis): %g \n",mumps->id.RINFOG(1));CHKERRQ(ierr);
1729         ierr = PetscViewerASCIIPrintf(viewer,"  RINFOG(2) (global estimated flops for the assembly after factorization): %g \n",mumps->id.RINFOG(2));CHKERRQ(ierr);
1730         ierr = PetscViewerASCIIPrintf(viewer,"  RINFOG(3) (global estimated flops for the elimination after factorization): %g \n",mumps->id.RINFOG(3));CHKERRQ(ierr);
1731         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);
1732 
1733         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(3) (estimated real workspace for factors on all processors after analysis): %d \n",mumps->id.INFOG(3));CHKERRQ(ierr);
1734         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(4) (estimated integer workspace for factors on all processors after analysis): %d \n",mumps->id.INFOG(4));CHKERRQ(ierr);
1735         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(5) (estimated maximum front size in the complete tree): %d \n",mumps->id.INFOG(5));CHKERRQ(ierr);
1736         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(6) (number of nodes in the complete tree): %d \n",mumps->id.INFOG(6));CHKERRQ(ierr);
1737         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(7) (ordering option effectively use after analysis): %d \n",mumps->id.INFOG(7));CHKERRQ(ierr);
1738         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(8) (structural symmetry in percent of the permuted matrix after analysis): %d \n",mumps->id.INFOG(8));CHKERRQ(ierr);
1739         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(9) (total real/complex workspace to store the matrix factors after factorization): %d \n",mumps->id.INFOG(9));CHKERRQ(ierr);
1740         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(10) (total integer space store the matrix factors after factorization): %d \n",mumps->id.INFOG(10));CHKERRQ(ierr);
1741         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(11) (order of largest frontal matrix after factorization): %d \n",mumps->id.INFOG(11));CHKERRQ(ierr);
1742         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(12) (number of off-diagonal pivots): %d \n",mumps->id.INFOG(12));CHKERRQ(ierr);
1743         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(13) (number of delayed pivots after factorization): %d \n",mumps->id.INFOG(13));CHKERRQ(ierr);
1744         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(14) (number of memory compress after factorization): %d \n",mumps->id.INFOG(14));CHKERRQ(ierr);
1745         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(15) (number of steps of iterative refinement after solution): %d \n",mumps->id.INFOG(15));CHKERRQ(ierr);
1746         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);
1747         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);
1748         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);
1749         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);
1750         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(20) (estimated number of entries in the factors): %d \n",mumps->id.INFOG(20));CHKERRQ(ierr);
1751         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);
1752         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);
1753         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(23) (after analysis: value of ICNTL(6) effectively used): %d \n",mumps->id.INFOG(23));CHKERRQ(ierr);
1754         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(24) (after analysis: value of ICNTL(12) effectively used): %d \n",mumps->id.INFOG(24));CHKERRQ(ierr);
1755         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(25) (after factorization: number of pivots modified by static pivoting): %d \n",mumps->id.INFOG(25));CHKERRQ(ierr);
1756         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(28) (after factorization: number of null pivots encountered): %d\n",mumps->id.INFOG(28));CHKERRQ(ierr);
1757         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);
1758         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);
1759         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(32) (after analysis: type of analysis done): %d\n",mumps->id.INFOG(32));CHKERRQ(ierr);
1760         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(33) (value used for ICNTL(8)): %d\n",mumps->id.INFOG(33));CHKERRQ(ierr);
1761         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(34) (exponent of the determinant if determinant is requested): %d\n",mumps->id.INFOG(34));CHKERRQ(ierr);
1762       }
1763     }
1764   }
1765   PetscFunctionReturn(0);
1766 }
1767 
1768 #undef __FUNCT__
1769 #define __FUNCT__ "MatGetInfo_MUMPS"
1770 PetscErrorCode MatGetInfo_MUMPS(Mat A,MatInfoType flag,MatInfo *info)
1771 {
1772   Mat_MUMPS *mumps =(Mat_MUMPS*)A->data;
1773 
1774   PetscFunctionBegin;
1775   info->block_size        = 1.0;
1776   info->nz_allocated      = mumps->id.INFOG(20);
1777   info->nz_used           = mumps->id.INFOG(20);
1778   info->nz_unneeded       = 0.0;
1779   info->assemblies        = 0.0;
1780   info->mallocs           = 0.0;
1781   info->memory            = 0.0;
1782   info->fill_ratio_given  = 0;
1783   info->fill_ratio_needed = 0;
1784   info->factor_mallocs    = 0;
1785   PetscFunctionReturn(0);
1786 }
1787 
1788 /* -------------------------------------------------------------------------------------------*/
1789 #undef __FUNCT__
1790 #define __FUNCT__ "MatFactorSetSchurIS_MUMPS"
1791 PetscErrorCode MatFactorSetSchurIS_MUMPS(Mat F, IS is)
1792 {
1793   Mat_MUMPS      *mumps =(Mat_MUMPS*)F->data;
1794   const PetscInt *idxs;
1795   PetscInt       size,i;
1796   PetscErrorCode ierr;
1797 
1798   PetscFunctionBegin;
1799   if (mumps->size > 1) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"MUMPS parallel Schur complements not yet supported from PETSc\n");
1800   ierr = ISGetLocalSize(is,&size);CHKERRQ(ierr);
1801   if (mumps->id.size_schur != size) {
1802     ierr = PetscFree2(mumps->id.listvar_schur,mumps->id.schur);CHKERRQ(ierr);
1803     mumps->id.size_schur = size;
1804     mumps->id.schur_lld = size;
1805     ierr = PetscMalloc2(size,&mumps->id.listvar_schur,size*size,&mumps->id.schur);CHKERRQ(ierr);
1806   }
1807   ierr = ISGetIndices(is,&idxs);CHKERRQ(ierr);
1808   ierr = PetscMemcpy(mumps->id.listvar_schur,idxs,size*sizeof(PetscInt));CHKERRQ(ierr);
1809   /* MUMPS expects Fortran style indices */
1810   for (i=0;i<size;i++) mumps->id.listvar_schur[i]++;
1811   ierr = ISRestoreIndices(is,&idxs);CHKERRQ(ierr);
1812   if (size) { /* turn on Schur switch if we the set of indices is not empty */
1813     if (F->factortype == MAT_FACTOR_LU) {
1814       mumps->id.ICNTL(19) = 3; /* MUMPS returns full matrix */
1815     } else {
1816       mumps->id.ICNTL(19) = 2; /* MUMPS returns lower triangular part */
1817     }
1818     /* set a special value of ICNTL (not handled my MUMPS) to be used in the solve phase by PETSc */
1819     mumps->id.ICNTL(26) = -1;
1820   }
1821   PetscFunctionReturn(0);
1822 }
1823 
1824 /* -------------------------------------------------------------------------------------------*/
1825 #undef __FUNCT__
1826 #define __FUNCT__ "MatFactorCreateSchurComplement_MUMPS"
1827 PetscErrorCode MatFactorCreateSchurComplement_MUMPS(Mat F,Mat* S)
1828 {
1829   Mat            St;
1830   Mat_MUMPS      *mumps =(Mat_MUMPS*)F->data;
1831   PetscScalar    *array;
1832 #if defined(PETSC_USE_COMPLEX)
1833   PetscScalar    im = PetscSqrtScalar((PetscScalar)-1.0);
1834 #endif
1835   PetscErrorCode ierr;
1836 
1837   PetscFunctionBegin;
1838   if (!mumps->id.ICNTL(19)) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur complement mode not selected! You should call MatFactorSetSchurIS to enable it");
1839   else if (!mumps->id.size_schur) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur indices not set! You should call MatFactorSetSchurIS before");
1840 
1841   ierr = MatCreate(PetscObjectComm((PetscObject)F),&St);CHKERRQ(ierr);
1842   ierr = MatSetSizes(St,PETSC_DECIDE,PETSC_DECIDE,mumps->id.size_schur,mumps->id.size_schur);CHKERRQ(ierr);
1843   ierr = MatSetType(St,MATDENSE);CHKERRQ(ierr);
1844   ierr = MatSetUp(St);CHKERRQ(ierr);
1845   ierr = MatDenseGetArray(St,&array);CHKERRQ(ierr);
1846   if (!mumps->sym) { /* MUMPS always return a full matrix */
1847     if (mumps->id.ICNTL(19) == 1) { /* stored by rows */
1848       PetscInt i,j,N=mumps->id.size_schur;
1849       for (i=0;i<N;i++) {
1850         for (j=0;j<N;j++) {
1851 #if !defined(PETSC_USE_COMPLEX)
1852           PetscScalar val = mumps->id.schur[i*N+j];
1853 #else
1854           PetscScalar val = mumps->id.schur[i*N+j].r + im*mumps->id.schur[i*N+j].i;
1855 #endif
1856           array[j*N+i] = val;
1857         }
1858       }
1859     } else { /* stored by columns */
1860       ierr = PetscMemcpy(array,mumps->id.schur,mumps->id.size_schur*mumps->id.size_schur*sizeof(PetscScalar));CHKERRQ(ierr);
1861     }
1862   } else { /* either full or lower-triangular (not packed) */
1863     if (mumps->id.ICNTL(19) == 2) { /* lower triangular stored by columns */
1864       PetscInt i,j,N=mumps->id.size_schur;
1865       for (i=0;i<N;i++) {
1866         for (j=i;j<N;j++) {
1867 #if !defined(PETSC_USE_COMPLEX)
1868           PetscScalar val = mumps->id.schur[i*N+j];
1869 #else
1870           PetscScalar val = mumps->id.schur[i*N+j].r + im*mumps->id.schur[i*N+j].i;
1871 #endif
1872           array[i*N+j] = val;
1873           array[j*N+i] = val;
1874         }
1875       }
1876     } else if (mumps->id.ICNTL(19) == 3) { /* full matrix */
1877       ierr = PetscMemcpy(array,mumps->id.schur,mumps->id.size_schur*mumps->id.size_schur*sizeof(PetscScalar));CHKERRQ(ierr);
1878     } else { /* ICNTL(19) == 1 lower triangular stored by rows */
1879       PetscInt i,j,N=mumps->id.size_schur;
1880       for (i=0;i<N;i++) {
1881         for (j=0;j<i+1;j++) {
1882 #if !defined(PETSC_USE_COMPLEX)
1883           PetscScalar val = mumps->id.schur[i*N+j];
1884 #else
1885           PetscScalar val = mumps->id.schur[i*N+j].r + im*mumps->id.schur[i*N+j].i;
1886 #endif
1887           array[i*N+j] = val;
1888           array[j*N+i] = val;
1889         }
1890       }
1891     }
1892   }
1893   ierr = MatDenseRestoreArray(St,&array);CHKERRQ(ierr);
1894   *S = St;
1895   PetscFunctionReturn(0);
1896 }
1897 
1898 /* -------------------------------------------------------------------------------------------*/
1899 #undef __FUNCT__
1900 #define __FUNCT__ "MatFactorGetSchurComplement_MUMPS"
1901 PetscErrorCode MatFactorGetSchurComplement_MUMPS(Mat F,Mat* S)
1902 {
1903   Mat            St;
1904   Mat_MUMPS      *mumps =(Mat_MUMPS*)F->data;
1905   PetscErrorCode ierr;
1906 
1907   PetscFunctionBegin;
1908   if (!mumps->id.ICNTL(19)) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur complement mode not selected! You should call MatFactorSetSchurIS to enable it");
1909   else if (!mumps->id.size_schur) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur indices not set! You should call MatFactorSetSchurIS before");
1910 
1911   /* 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 */
1912   ierr = MatCreateSeqDense(PetscObjectComm((PetscObject)F),mumps->id.size_schur,mumps->id.size_schur,(PetscScalar*)mumps->id.schur,&St);CHKERRQ(ierr);
1913   *S = St;
1914   PetscFunctionReturn(0);
1915 }
1916 
1917 /* -------------------------------------------------------------------------------------------*/
1918 #undef __FUNCT__
1919 #define __FUNCT__ "MatFactorInvertSchurComplement_MUMPS"
1920 PetscErrorCode MatFactorInvertSchurComplement_MUMPS(Mat F)
1921 {
1922   Mat_MUMPS      *mumps =(Mat_MUMPS*)F->data;
1923   PetscErrorCode ierr;
1924 
1925   PetscFunctionBegin;
1926   if (!mumps->id.ICNTL(19)) { /* do nothing */
1927     PetscFunctionReturn(0);
1928   }
1929   if (!mumps->id.size_schur) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur indices not set! You should call MatFactorSetSchurIS before");
1930   ierr = MatMumpsInvertSchur_Private(mumps);CHKERRQ(ierr);
1931   PetscFunctionReturn(0);
1932 }
1933 
1934 /* -------------------------------------------------------------------------------------------*/
1935 #undef __FUNCT__
1936 #define __FUNCT__ "MatFactorSolveSchurComplement_MUMPS"
1937 PetscErrorCode MatFactorSolveSchurComplement_MUMPS(Mat F, Vec rhs, Vec sol)
1938 {
1939   Mat_MUMPS      *mumps =(Mat_MUMPS*)F->data;
1940   MumpsScalar    *orhs;
1941   PetscScalar    *osol,*nrhs,*nsol;
1942   PetscInt       orhs_size,osol_size,olrhs_size;
1943   PetscErrorCode ierr;
1944 
1945   PetscFunctionBegin;
1946   if (!mumps->id.ICNTL(19)) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur complement mode not selected! You should call MatFactorSetSchurIS to enable it");
1947   if (!mumps->id.size_schur) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur indices not set! You should call MatFactorSetSchurIS before");
1948 
1949   /* swap pointers */
1950   orhs = mumps->id.redrhs;
1951   olrhs_size = mumps->id.lredrhs;
1952   orhs_size = mumps->sizeredrhs;
1953   osol = mumps->schur_sol;
1954   osol_size = mumps->schur_sizesol;
1955   ierr = VecGetArray(rhs,&nrhs);CHKERRQ(ierr);
1956   ierr = VecGetArray(sol,&nsol);CHKERRQ(ierr);
1957   mumps->id.redrhs = (MumpsScalar*)nrhs;
1958   ierr = VecGetLocalSize(rhs,&mumps->sizeredrhs);CHKERRQ(ierr);
1959   mumps->id.lredrhs = mumps->sizeredrhs;
1960   mumps->schur_sol = nsol;
1961   ierr = VecGetLocalSize(sol,&mumps->schur_sizesol);CHKERRQ(ierr);
1962 
1963   /* solve Schur complement */
1964   mumps->id.nrhs = 1;
1965   ierr = MatMumpsSolveSchur_Private(mumps,PETSC_FALSE);CHKERRQ(ierr);
1966   /* restore pointers */
1967   ierr = VecRestoreArray(rhs,&nrhs);CHKERRQ(ierr);
1968   ierr = VecRestoreArray(sol,&nsol);CHKERRQ(ierr);
1969   mumps->id.redrhs = orhs;
1970   mumps->id.lredrhs = olrhs_size;
1971   mumps->sizeredrhs = orhs_size;
1972   mumps->schur_sol = osol;
1973   mumps->schur_sizesol = osol_size;
1974   PetscFunctionReturn(0);
1975 }
1976 
1977 /* -------------------------------------------------------------------------------------------*/
1978 #undef __FUNCT__
1979 #define __FUNCT__ "MatFactorSolveSchurComplementTranspose_MUMPS"
1980 PetscErrorCode MatFactorSolveSchurComplementTranspose_MUMPS(Mat F, Vec rhs, Vec sol)
1981 {
1982   Mat_MUMPS      *mumps =(Mat_MUMPS*)F->data;
1983   MumpsScalar    *orhs;
1984   PetscScalar    *osol,*nrhs,*nsol;
1985   PetscInt       orhs_size,osol_size;
1986   PetscErrorCode ierr;
1987 
1988   PetscFunctionBegin;
1989   if (!mumps->id.ICNTL(19)) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur complement mode not selected! You should call MatFactorSetSchurIS to enable it");
1990   else if (!mumps->id.size_schur) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur indices not set! You should call MatFactorSetSchurIS before");
1991 
1992   /* swap pointers */
1993   orhs = mumps->id.redrhs;
1994   orhs_size = mumps->sizeredrhs;
1995   osol = mumps->schur_sol;
1996   osol_size = mumps->schur_sizesol;
1997   ierr = VecGetArray(rhs,&nrhs);CHKERRQ(ierr);
1998   ierr = VecGetArray(sol,&nsol);CHKERRQ(ierr);
1999   mumps->id.redrhs = (MumpsScalar*)nrhs;
2000   ierr = VecGetLocalSize(rhs,&mumps->sizeredrhs);CHKERRQ(ierr);
2001   mumps->schur_sol = nsol;
2002   ierr = VecGetLocalSize(sol,&mumps->schur_sizesol);CHKERRQ(ierr);
2003 
2004   /* solve Schur complement */
2005   mumps->id.nrhs = 1;
2006   mumps->id.ICNTL(9) = 0;
2007   ierr = MatMumpsSolveSchur_Private(mumps,PETSC_FALSE);CHKERRQ(ierr);
2008   mumps->id.ICNTL(9) = 1;
2009   /* restore pointers */
2010   ierr = VecRestoreArray(rhs,&nrhs);CHKERRQ(ierr);
2011   ierr = VecRestoreArray(sol,&nsol);CHKERRQ(ierr);
2012   mumps->id.redrhs = orhs;
2013   mumps->sizeredrhs = orhs_size;
2014   mumps->schur_sol = osol;
2015   mumps->schur_sizesol = osol_size;
2016   PetscFunctionReturn(0);
2017 }
2018 
2019 /* -------------------------------------------------------------------------------------------*/
2020 #undef __FUNCT__
2021 #define __FUNCT__ "MatMumpsSetIcntl_MUMPS"
2022 PetscErrorCode MatMumpsSetIcntl_MUMPS(Mat F,PetscInt icntl,PetscInt ival)
2023 {
2024   Mat_MUMPS *mumps =(Mat_MUMPS*)F->data;
2025 
2026   PetscFunctionBegin;
2027   mumps->id.ICNTL(icntl) = ival;
2028   PetscFunctionReturn(0);
2029 }
2030 
2031 #undef __FUNCT__
2032 #define __FUNCT__ "MatMumpsGetIcntl_MUMPS"
2033 PetscErrorCode MatMumpsGetIcntl_MUMPS(Mat F,PetscInt icntl,PetscInt *ival)
2034 {
2035   Mat_MUMPS *mumps =(Mat_MUMPS*)F->data;
2036 
2037   PetscFunctionBegin;
2038   *ival = mumps->id.ICNTL(icntl);
2039   PetscFunctionReturn(0);
2040 }
2041 
2042 #undef __FUNCT__
2043 #define __FUNCT__ "MatMumpsSetIcntl"
2044 /*@
2045   MatMumpsSetIcntl - Set MUMPS parameter ICNTL()
2046 
2047    Logically Collective on Mat
2048 
2049    Input Parameters:
2050 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
2051 .  icntl - index of MUMPS parameter array ICNTL()
2052 -  ival - value of MUMPS ICNTL(icntl)
2053 
2054   Options Database:
2055 .   -mat_mumps_icntl_<icntl> <ival>
2056 
2057    Level: beginner
2058 
2059    References:
2060 .     MUMPS Users' Guide
2061 
2062 .seealso: MatGetFactor(), MatMumpsSetICntl(), MatMumpsGetIcntl(), MatMumpsSetCntl(), MatMumpsGetCntl(), MatMumpsGetInfo(), MatMumpsGetInfog(), MatMumpsGetRinfo(), MatMumpsGetRinfog()
2063  @*/
2064 PetscErrorCode MatMumpsSetIcntl(Mat F,PetscInt icntl,PetscInt ival)
2065 {
2066   PetscErrorCode ierr;
2067 
2068   PetscFunctionBegin;
2069   PetscValidType(F,1);
2070   if (!F->factortype) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ARG_WRONGSTATE,"Only for factored matrix");
2071   PetscValidLogicalCollectiveInt(F,icntl,2);
2072   PetscValidLogicalCollectiveInt(F,ival,3);
2073   ierr = PetscTryMethod(F,"MatMumpsSetIcntl_C",(Mat,PetscInt,PetscInt),(F,icntl,ival));CHKERRQ(ierr);
2074   PetscFunctionReturn(0);
2075 }
2076 
2077 #undef __FUNCT__
2078 #define __FUNCT__ "MatMumpsGetIcntl"
2079 /*@
2080   MatMumpsGetIcntl - Get MUMPS parameter ICNTL()
2081 
2082    Logically Collective on Mat
2083 
2084    Input Parameters:
2085 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
2086 -  icntl - index of MUMPS parameter array ICNTL()
2087 
2088   Output Parameter:
2089 .  ival - value of MUMPS ICNTL(icntl)
2090 
2091    Level: beginner
2092 
2093    References:
2094 .     MUMPS Users' Guide
2095 
2096 .seealso: MatGetFactor(), MatMumpsSetICntl(), MatMumpsGetIcntl(), MatMumpsSetCntl(), MatMumpsGetCntl(), MatMumpsGetInfo(), MatMumpsGetInfog(), MatMumpsGetRinfo(), MatMumpsGetRinfog()
2097 @*/
2098 PetscErrorCode MatMumpsGetIcntl(Mat F,PetscInt icntl,PetscInt *ival)
2099 {
2100   PetscErrorCode ierr;
2101 
2102   PetscFunctionBegin;
2103   PetscValidType(F,1);
2104   if (!F->factortype) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ARG_WRONGSTATE,"Only for factored matrix");
2105   PetscValidLogicalCollectiveInt(F,icntl,2);
2106   PetscValidIntPointer(ival,3);
2107   ierr = PetscUseMethod(F,"MatMumpsGetIcntl_C",(Mat,PetscInt,PetscInt*),(F,icntl,ival));CHKERRQ(ierr);
2108   PetscFunctionReturn(0);
2109 }
2110 
2111 /* -------------------------------------------------------------------------------------------*/
2112 #undef __FUNCT__
2113 #define __FUNCT__ "MatMumpsSetCntl_MUMPS"
2114 PetscErrorCode MatMumpsSetCntl_MUMPS(Mat F,PetscInt icntl,PetscReal val)
2115 {
2116   Mat_MUMPS *mumps =(Mat_MUMPS*)F->data;
2117 
2118   PetscFunctionBegin;
2119   mumps->id.CNTL(icntl) = val;
2120   PetscFunctionReturn(0);
2121 }
2122 
2123 #undef __FUNCT__
2124 #define __FUNCT__ "MatMumpsGetCntl_MUMPS"
2125 PetscErrorCode MatMumpsGetCntl_MUMPS(Mat F,PetscInt icntl,PetscReal *val)
2126 {
2127   Mat_MUMPS *mumps =(Mat_MUMPS*)F->data;
2128 
2129   PetscFunctionBegin;
2130   *val = mumps->id.CNTL(icntl);
2131   PetscFunctionReturn(0);
2132 }
2133 
2134 #undef __FUNCT__
2135 #define __FUNCT__ "MatMumpsSetCntl"
2136 /*@
2137   MatMumpsSetCntl - Set MUMPS parameter CNTL()
2138 
2139    Logically Collective on Mat
2140 
2141    Input Parameters:
2142 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
2143 .  icntl - index of MUMPS parameter array CNTL()
2144 -  val - value of MUMPS CNTL(icntl)
2145 
2146   Options Database:
2147 .   -mat_mumps_cntl_<icntl> <val>
2148 
2149    Level: beginner
2150 
2151    References:
2152 .     MUMPS Users' Guide
2153 
2154 .seealso: MatGetFactor(), MatMumpsSetICntl(), MatMumpsGetIcntl(), MatMumpsSetCntl(), MatMumpsGetCntl(), MatMumpsGetInfo(), MatMumpsGetInfog(), MatMumpsGetRinfo(), MatMumpsGetRinfog()
2155 @*/
2156 PetscErrorCode MatMumpsSetCntl(Mat F,PetscInt icntl,PetscReal val)
2157 {
2158   PetscErrorCode ierr;
2159 
2160   PetscFunctionBegin;
2161   PetscValidType(F,1);
2162   if (!F->factortype) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ARG_WRONGSTATE,"Only for factored matrix");
2163   PetscValidLogicalCollectiveInt(F,icntl,2);
2164   PetscValidLogicalCollectiveReal(F,val,3);
2165   ierr = PetscTryMethod(F,"MatMumpsSetCntl_C",(Mat,PetscInt,PetscReal),(F,icntl,val));CHKERRQ(ierr);
2166   PetscFunctionReturn(0);
2167 }
2168 
2169 #undef __FUNCT__
2170 #define __FUNCT__ "MatMumpsGetCntl"
2171 /*@
2172   MatMumpsGetCntl - Get MUMPS parameter CNTL()
2173 
2174    Logically Collective on Mat
2175 
2176    Input Parameters:
2177 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
2178 -  icntl - index of MUMPS parameter array CNTL()
2179 
2180   Output Parameter:
2181 .  val - value of MUMPS CNTL(icntl)
2182 
2183    Level: beginner
2184 
2185    References:
2186 .      MUMPS Users' Guide
2187 
2188 .seealso: MatGetFactor(), MatMumpsSetICntl(), MatMumpsGetIcntl(), MatMumpsSetCntl(), MatMumpsGetCntl(), MatMumpsGetInfo(), MatMumpsGetInfog(), MatMumpsGetRinfo(), MatMumpsGetRinfog()
2189 @*/
2190 PetscErrorCode MatMumpsGetCntl(Mat F,PetscInt icntl,PetscReal *val)
2191 {
2192   PetscErrorCode ierr;
2193 
2194   PetscFunctionBegin;
2195   PetscValidType(F,1);
2196   if (!F->factortype) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ARG_WRONGSTATE,"Only for factored matrix");
2197   PetscValidLogicalCollectiveInt(F,icntl,2);
2198   PetscValidRealPointer(val,3);
2199   ierr = PetscUseMethod(F,"MatMumpsGetCntl_C",(Mat,PetscInt,PetscReal*),(F,icntl,val));CHKERRQ(ierr);
2200   PetscFunctionReturn(0);
2201 }
2202 
2203 #undef __FUNCT__
2204 #define __FUNCT__ "MatMumpsGetInfo_MUMPS"
2205 PetscErrorCode MatMumpsGetInfo_MUMPS(Mat F,PetscInt icntl,PetscInt *info)
2206 {
2207   Mat_MUMPS *mumps =(Mat_MUMPS*)F->data;
2208 
2209   PetscFunctionBegin;
2210   *info = mumps->id.INFO(icntl);
2211   PetscFunctionReturn(0);
2212 }
2213 
2214 #undef __FUNCT__
2215 #define __FUNCT__ "MatMumpsGetInfog_MUMPS"
2216 PetscErrorCode MatMumpsGetInfog_MUMPS(Mat F,PetscInt icntl,PetscInt *infog)
2217 {
2218   Mat_MUMPS *mumps =(Mat_MUMPS*)F->data;
2219 
2220   PetscFunctionBegin;
2221   *infog = mumps->id.INFOG(icntl);
2222   PetscFunctionReturn(0);
2223 }
2224 
2225 #undef __FUNCT__
2226 #define __FUNCT__ "MatMumpsGetRinfo_MUMPS"
2227 PetscErrorCode MatMumpsGetRinfo_MUMPS(Mat F,PetscInt icntl,PetscReal *rinfo)
2228 {
2229   Mat_MUMPS *mumps =(Mat_MUMPS*)F->data;
2230 
2231   PetscFunctionBegin;
2232   *rinfo = mumps->id.RINFO(icntl);
2233   PetscFunctionReturn(0);
2234 }
2235 
2236 #undef __FUNCT__
2237 #define __FUNCT__ "MatMumpsGetRinfog_MUMPS"
2238 PetscErrorCode MatMumpsGetRinfog_MUMPS(Mat F,PetscInt icntl,PetscReal *rinfog)
2239 {
2240   Mat_MUMPS *mumps =(Mat_MUMPS*)F->data;
2241 
2242   PetscFunctionBegin;
2243   *rinfog = mumps->id.RINFOG(icntl);
2244   PetscFunctionReturn(0);
2245 }
2246 
2247 #undef __FUNCT__
2248 #define __FUNCT__ "MatMumpsGetInfo"
2249 /*@
2250   MatMumpsGetInfo - Get MUMPS parameter INFO()
2251 
2252    Logically Collective on Mat
2253 
2254    Input Parameters:
2255 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
2256 -  icntl - index of MUMPS parameter array INFO()
2257 
2258   Output Parameter:
2259 .  ival - value of MUMPS INFO(icntl)
2260 
2261    Level: beginner
2262 
2263    References:
2264 .      MUMPS Users' Guide
2265 
2266 .seealso: MatGetFactor(), MatMumpsSetICntl(), MatMumpsGetIcntl(), MatMumpsSetCntl(), MatMumpsGetCntl(), MatMumpsGetInfo(), MatMumpsGetInfog(), MatMumpsGetRinfo(), MatMumpsGetRinfog()
2267 @*/
2268 PetscErrorCode MatMumpsGetInfo(Mat F,PetscInt icntl,PetscInt *ival)
2269 {
2270   PetscErrorCode ierr;
2271 
2272   PetscFunctionBegin;
2273   PetscValidType(F,1);
2274   if (!F->factortype) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ARG_WRONGSTATE,"Only for factored matrix");
2275   PetscValidIntPointer(ival,3);
2276   ierr = PetscUseMethod(F,"MatMumpsGetInfo_C",(Mat,PetscInt,PetscInt*),(F,icntl,ival));CHKERRQ(ierr);
2277   PetscFunctionReturn(0);
2278 }
2279 
2280 #undef __FUNCT__
2281 #define __FUNCT__ "MatMumpsGetInfog"
2282 /*@
2283   MatMumpsGetInfog - Get MUMPS parameter INFOG()
2284 
2285    Logically Collective on Mat
2286 
2287    Input Parameters:
2288 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
2289 -  icntl - index of MUMPS parameter array INFOG()
2290 
2291   Output Parameter:
2292 .  ival - value of MUMPS INFOG(icntl)
2293 
2294    Level: beginner
2295 
2296    References:
2297 .      MUMPS Users' Guide
2298 
2299 .seealso: MatGetFactor(), MatMumpsSetICntl(), MatMumpsGetIcntl(), MatMumpsSetCntl(), MatMumpsGetCntl(), MatMumpsGetInfo(), MatMumpsGetInfog(), MatMumpsGetRinfo(), MatMumpsGetRinfog()
2300 @*/
2301 PetscErrorCode MatMumpsGetInfog(Mat F,PetscInt icntl,PetscInt *ival)
2302 {
2303   PetscErrorCode ierr;
2304 
2305   PetscFunctionBegin;
2306   PetscValidType(F,1);
2307   if (!F->factortype) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ARG_WRONGSTATE,"Only for factored matrix");
2308   PetscValidIntPointer(ival,3);
2309   ierr = PetscUseMethod(F,"MatMumpsGetInfog_C",(Mat,PetscInt,PetscInt*),(F,icntl,ival));CHKERRQ(ierr);
2310   PetscFunctionReturn(0);
2311 }
2312 
2313 #undef __FUNCT__
2314 #define __FUNCT__ "MatMumpsGetRinfo"
2315 /*@
2316   MatMumpsGetRinfo - Get MUMPS parameter RINFO()
2317 
2318    Logically Collective on Mat
2319 
2320    Input Parameters:
2321 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
2322 -  icntl - index of MUMPS parameter array RINFO()
2323 
2324   Output Parameter:
2325 .  val - value of MUMPS RINFO(icntl)
2326 
2327    Level: beginner
2328 
2329    References:
2330 .       MUMPS Users' Guide
2331 
2332 .seealso: MatGetFactor(), MatMumpsSetICntl(), MatMumpsGetIcntl(), MatMumpsSetCntl(), MatMumpsGetCntl(), MatMumpsGetInfo(), MatMumpsGetInfog(), MatMumpsGetRinfo(), MatMumpsGetRinfog()
2333 @*/
2334 PetscErrorCode MatMumpsGetRinfo(Mat F,PetscInt icntl,PetscReal *val)
2335 {
2336   PetscErrorCode ierr;
2337 
2338   PetscFunctionBegin;
2339   PetscValidType(F,1);
2340   if (!F->factortype) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ARG_WRONGSTATE,"Only for factored matrix");
2341   PetscValidRealPointer(val,3);
2342   ierr = PetscUseMethod(F,"MatMumpsGetRinfo_C",(Mat,PetscInt,PetscReal*),(F,icntl,val));CHKERRQ(ierr);
2343   PetscFunctionReturn(0);
2344 }
2345 
2346 #undef __FUNCT__
2347 #define __FUNCT__ "MatMumpsGetRinfog"
2348 /*@
2349   MatMumpsGetRinfog - Get MUMPS parameter RINFOG()
2350 
2351    Logically Collective on Mat
2352 
2353    Input Parameters:
2354 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
2355 -  icntl - index of MUMPS parameter array RINFOG()
2356 
2357   Output Parameter:
2358 .  val - value of MUMPS RINFOG(icntl)
2359 
2360    Level: beginner
2361 
2362    References:
2363 .      MUMPS Users' Guide
2364 
2365 .seealso: MatGetFactor(), MatMumpsSetICntl(), MatMumpsGetIcntl(), MatMumpsSetCntl(), MatMumpsGetCntl(), MatMumpsGetInfo(), MatMumpsGetInfog(), MatMumpsGetRinfo(), MatMumpsGetRinfog()
2366 @*/
2367 PetscErrorCode MatMumpsGetRinfog(Mat F,PetscInt icntl,PetscReal *val)
2368 {
2369   PetscErrorCode ierr;
2370 
2371   PetscFunctionBegin;
2372   PetscValidType(F,1);
2373   if (!F->factortype) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ARG_WRONGSTATE,"Only for factored matrix");
2374   PetscValidRealPointer(val,3);
2375   ierr = PetscUseMethod(F,"MatMumpsGetRinfog_C",(Mat,PetscInt,PetscReal*),(F,icntl,val));CHKERRQ(ierr);
2376   PetscFunctionReturn(0);
2377 }
2378 
2379 /*MC
2380   MATSOLVERMUMPS -  A matrix type providing direct solvers (LU and Cholesky) for
2381   distributed and sequential matrices via the external package MUMPS.
2382 
2383   Works with MATAIJ and MATSBAIJ matrices
2384 
2385   Use ./configure --download-mumps --download-scalapack --download-parmetis --download-metis --download-ptscotch  to have PETSc installed with MUMPS
2386 
2387   Use -pc_type cholesky or lu -pc_factor_mat_solver_package mumps to us this direct solver
2388 
2389   Options Database Keys:
2390 +  -mat_mumps_icntl_1 - ICNTL(1): output stream for error messages
2391 .  -mat_mumps_icntl_2 - ICNTL(2): output stream for diagnostic printing, statistics, and warning
2392 .  -mat_mumps_icntl_3 -  ICNTL(3): output stream for global information, collected on the host
2393 .  -mat_mumps_icntl_4 -  ICNTL(4): level of printing (0 to 4)
2394 .  -mat_mumps_icntl_6 - ICNTL(6): permutes to a zero-free diagonal and/or scale the matrix (0 to 7)
2395 .  -mat_mumps_icntl_7 - ICNTL(7): computes a symmetric permutation in sequential analysis (0 to 7). 3=Scotch, 4=PORD, 5=Metis
2396 .  -mat_mumps_icntl_8  - ICNTL(8): scaling strategy (-2 to 8 or 77)
2397 .  -mat_mumps_icntl_10  - ICNTL(10): max num of refinements
2398 .  -mat_mumps_icntl_11  - ICNTL(11): statistics related to an error analysis (via -ksp_view)
2399 .  -mat_mumps_icntl_12  - ICNTL(12): an ordering strategy for symmetric matrices (0 to 3)
2400 .  -mat_mumps_icntl_13  - ICNTL(13): parallelism of the root node (enable ScaLAPACK) and its splitting
2401 .  -mat_mumps_icntl_14  - ICNTL(14): percentage increase in the estimated working space
2402 .  -mat_mumps_icntl_19  - ICNTL(19): computes the Schur complement
2403 .  -mat_mumps_icntl_22  - ICNTL(22): in-core/out-of-core factorization and solve (0 or 1)
2404 .  -mat_mumps_icntl_23  - ICNTL(23): max size of the working memory (MB) that can allocate per processor
2405 .  -mat_mumps_icntl_24  - ICNTL(24): detection of null pivot rows (0 or 1)
2406 .  -mat_mumps_icntl_25  - ICNTL(25): compute a solution of a deficient matrix and a null space basis
2407 .  -mat_mumps_icntl_26  - ICNTL(26): drives the solution phase if a Schur complement matrix
2408 .  -mat_mumps_icntl_28  - ICNTL(28): use 1 for sequential analysis and ictnl(7) ordering, or 2 for parallel analysis and ictnl(29) ordering
2409 .  -mat_mumps_icntl_29 - ICNTL(29): parallel ordering 1 = ptscotch, 2 = parmetis
2410 .  -mat_mumps_icntl_30 - ICNTL(30): compute user-specified set of entries in inv(A)
2411 .  -mat_mumps_icntl_31 - ICNTL(31): indicates which factors may be discarded during factorization
2412 .  -mat_mumps_icntl_33 - ICNTL(33): compute determinant
2413 .  -mat_mumps_cntl_1  - CNTL(1): relative pivoting threshold
2414 .  -mat_mumps_cntl_2  -  CNTL(2): stopping criterion of refinement
2415 .  -mat_mumps_cntl_3 - CNTL(3): absolute pivoting threshold
2416 .  -mat_mumps_cntl_4 - CNTL(4): value for static pivoting
2417 -  -mat_mumps_cntl_5 - CNTL(5): fixation for null pivots
2418 
2419   Level: beginner
2420 
2421     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
2422 $          KSPGetPC(ksp,&pc);
2423 $          PCFactorGetMatrix(pc,&mat);
2424 $          MatMumpsGetInfo(mat,....);
2425 $          MatMumpsGetInfog(mat,....); etc.
2426            Or you can run with -ksp_error_if_not_converged and the program will be stopped and the information printed in the error message.
2427 
2428 .seealso: PCFactorSetMatSolverPackage(), MatSolverPackage, MatMumpsSetICntl(), MatMumpsGetIcntl(), MatMumpsSetCntl(), MatMumpsGetCntl(), MatMumpsGetInfo(), MatMumpsGetInfog(), MatMumpsGetRinfo(), MatMumpsGetRinfog(), KSPGetPC(), PCGetFactor(), PCFactorGetMatrix()
2429 
2430 M*/
2431 
2432 #undef __FUNCT__
2433 #define __FUNCT__ "MatFactorGetSolverPackage_mumps"
2434 static PetscErrorCode MatFactorGetSolverPackage_mumps(Mat A,const MatSolverPackage *type)
2435 {
2436   PetscFunctionBegin;
2437   *type = MATSOLVERMUMPS;
2438   PetscFunctionReturn(0);
2439 }
2440 
2441 /* MatGetFactor for Seq and MPI AIJ matrices */
2442 #undef __FUNCT__
2443 #define __FUNCT__ "MatGetFactor_aij_mumps"
2444 static PetscErrorCode MatGetFactor_aij_mumps(Mat A,MatFactorType ftype,Mat *F)
2445 {
2446   Mat            B;
2447   PetscErrorCode ierr;
2448   Mat_MUMPS      *mumps;
2449   PetscBool      isSeqAIJ;
2450 
2451   PetscFunctionBegin;
2452   /* Create the factorization matrix */
2453   ierr = PetscObjectTypeCompare((PetscObject)A,MATSEQAIJ,&isSeqAIJ);CHKERRQ(ierr);
2454   ierr = MatCreate(PetscObjectComm((PetscObject)A),&B);CHKERRQ(ierr);
2455   ierr = MatSetSizes(B,A->rmap->n,A->cmap->n,A->rmap->N,A->cmap->N);CHKERRQ(ierr);
2456   ierr = PetscStrallocpy("mumps",&((PetscObject)B)->type_name);CHKERRQ(ierr);
2457   ierr = MatSetUp(B);CHKERRQ(ierr);
2458 
2459   ierr = PetscNewLog(B,&mumps);CHKERRQ(ierr);
2460 
2461   B->ops->view        = MatView_MUMPS;
2462   B->ops->getinfo     = MatGetInfo_MUMPS;
2463 
2464   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorGetSolverPackage_C",MatFactorGetSolverPackage_mumps);CHKERRQ(ierr);
2465   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSetSchurIS_C",MatFactorSetSchurIS_MUMPS);CHKERRQ(ierr);
2466   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorInvertSchurComplement_C",MatFactorInvertSchurComplement_MUMPS);CHKERRQ(ierr);
2467   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorCreateSchurComplement_C",MatFactorCreateSchurComplement_MUMPS);CHKERRQ(ierr);
2468   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorGetSchurComplement_C",MatFactorGetSchurComplement_MUMPS);CHKERRQ(ierr);
2469   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSolveSchurComplement_C",MatFactorSolveSchurComplement_MUMPS);CHKERRQ(ierr);
2470   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSolveSchurComplementTranspose_C",MatFactorSolveSchurComplementTranspose_MUMPS);CHKERRQ(ierr);
2471   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsSetIcntl_C",MatMumpsSetIcntl_MUMPS);CHKERRQ(ierr);
2472   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetIcntl_C",MatMumpsGetIcntl_MUMPS);CHKERRQ(ierr);
2473   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsSetCntl_C",MatMumpsSetCntl_MUMPS);CHKERRQ(ierr);
2474   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetCntl_C",MatMumpsGetCntl_MUMPS);CHKERRQ(ierr);
2475   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetInfo_C",MatMumpsGetInfo_MUMPS);CHKERRQ(ierr);
2476   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetInfog_C",MatMumpsGetInfog_MUMPS);CHKERRQ(ierr);
2477   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetRinfo_C",MatMumpsGetRinfo_MUMPS);CHKERRQ(ierr);
2478   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetRinfog_C",MatMumpsGetRinfog_MUMPS);CHKERRQ(ierr);
2479 
2480   if (ftype == MAT_FACTOR_LU) {
2481     B->ops->lufactorsymbolic = MatLUFactorSymbolic_AIJMUMPS;
2482     B->factortype            = MAT_FACTOR_LU;
2483     if (isSeqAIJ) mumps->ConvertToTriples = MatConvertToTriples_seqaij_seqaij;
2484     else mumps->ConvertToTriples = MatConvertToTriples_mpiaij_mpiaij;
2485     mumps->sym = 0;
2486   } else {
2487     B->ops->choleskyfactorsymbolic = MatCholeskyFactorSymbolic_MUMPS;
2488     B->factortype                  = MAT_FACTOR_CHOLESKY;
2489     if (isSeqAIJ) mumps->ConvertToTriples = MatConvertToTriples_seqaij_seqsbaij;
2490     else mumps->ConvertToTriples = MatConvertToTriples_mpiaij_mpisbaij;
2491 #if defined(PETSC_USE_COMPLEX)
2492     mumps->sym = 2;
2493 #else
2494     if (A->spd_set && A->spd) mumps->sym = 1;
2495     else                      mumps->sym = 2;
2496 #endif
2497   }
2498 
2499   /* set solvertype */
2500   ierr = PetscFree(B->solvertype);CHKERRQ(ierr);
2501   ierr = PetscStrallocpy(MATSOLVERMUMPS,&B->solvertype);CHKERRQ(ierr);
2502 
2503   mumps->isAIJ    = PETSC_TRUE;
2504   B->ops->destroy = MatDestroy_MUMPS;
2505   B->data        = (void*)mumps;
2506 
2507   ierr = PetscInitializeMUMPS(A,mumps);CHKERRQ(ierr);
2508 
2509   *F = B;
2510   PetscFunctionReturn(0);
2511 }
2512 
2513 /* MatGetFactor for Seq and MPI SBAIJ matrices */
2514 #undef __FUNCT__
2515 #define __FUNCT__ "MatGetFactor_sbaij_mumps"
2516 static PetscErrorCode MatGetFactor_sbaij_mumps(Mat A,MatFactorType ftype,Mat *F)
2517 {
2518   Mat            B;
2519   PetscErrorCode ierr;
2520   Mat_MUMPS      *mumps;
2521   PetscBool      isSeqSBAIJ;
2522 
2523   PetscFunctionBegin;
2524   if (ftype != MAT_FACTOR_CHOLESKY) SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_SUP,"Cannot use PETSc SBAIJ matrices with MUMPS LU, use AIJ matrix");
2525   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");
2526   ierr = PetscObjectTypeCompare((PetscObject)A,MATSEQSBAIJ,&isSeqSBAIJ);CHKERRQ(ierr);
2527   /* Create the factorization matrix */
2528   ierr = MatCreate(PetscObjectComm((PetscObject)A),&B);CHKERRQ(ierr);
2529   ierr = MatSetSizes(B,A->rmap->n,A->cmap->n,A->rmap->N,A->cmap->N);CHKERRQ(ierr);
2530   ierr = PetscStrallocpy("mumps",&((PetscObject)B)->type_name);CHKERRQ(ierr);
2531   ierr = MatSetUp(B);CHKERRQ(ierr);
2532 
2533   ierr = PetscNewLog(B,&mumps);CHKERRQ(ierr);
2534   if (isSeqSBAIJ) {
2535     mumps->ConvertToTriples = MatConvertToTriples_seqsbaij_seqsbaij;
2536   } else {
2537     mumps->ConvertToTriples = MatConvertToTriples_mpisbaij_mpisbaij;
2538   }
2539 
2540   B->ops->getinfo                = MatGetInfo_External;
2541   B->ops->choleskyfactorsymbolic = MatCholeskyFactorSymbolic_MUMPS;
2542   B->ops->view                   = MatView_MUMPS;
2543 
2544   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorGetSolverPackage_C",MatFactorGetSolverPackage_mumps);CHKERRQ(ierr);
2545   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSetSchurIS_C",MatFactorSetSchurIS_MUMPS);CHKERRQ(ierr);
2546   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorInvertSchurComplement_C",MatFactorInvertSchurComplement_MUMPS);CHKERRQ(ierr);
2547   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorCreateSchurComplement_C",MatFactorCreateSchurComplement_MUMPS);CHKERRQ(ierr);
2548   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorGetSchurComplement_C",MatFactorGetSchurComplement_MUMPS);CHKERRQ(ierr);
2549   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSolveSchurComplement_C",MatFactorSolveSchurComplement_MUMPS);CHKERRQ(ierr);
2550   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSolveSchurComplementTranspose_C",MatFactorSolveSchurComplementTranspose_MUMPS);CHKERRQ(ierr);
2551   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsSetIcntl_C",MatMumpsSetIcntl_MUMPS);CHKERRQ(ierr);
2552   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetIcntl_C",MatMumpsGetIcntl_MUMPS);CHKERRQ(ierr);
2553   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsSetCntl_C",MatMumpsSetCntl_MUMPS);CHKERRQ(ierr);
2554   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetCntl_C",MatMumpsGetCntl_MUMPS);CHKERRQ(ierr);
2555   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetInfo_C",MatMumpsGetInfo_MUMPS);CHKERRQ(ierr);
2556   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetInfog_C",MatMumpsGetInfog_MUMPS);CHKERRQ(ierr);
2557   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetRinfo_C",MatMumpsGetRinfo_MUMPS);CHKERRQ(ierr);
2558   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetRinfog_C",MatMumpsGetRinfog_MUMPS);CHKERRQ(ierr);
2559 
2560   B->factortype = MAT_FACTOR_CHOLESKY;
2561 #if defined(PETSC_USE_COMPLEX)
2562   mumps->sym = 2;
2563 #else
2564   if (A->spd_set && A->spd) mumps->sym = 1;
2565   else                      mumps->sym = 2;
2566 #endif
2567 
2568   /* set solvertype */
2569   ierr = PetscFree(B->solvertype);CHKERRQ(ierr);
2570   ierr = PetscStrallocpy(MATSOLVERMUMPS,&B->solvertype);CHKERRQ(ierr);
2571 
2572   mumps->isAIJ    = PETSC_FALSE;
2573   B->ops->destroy = MatDestroy_MUMPS;
2574   B->data        = (void*)mumps;
2575 
2576   ierr = PetscInitializeMUMPS(A,mumps);CHKERRQ(ierr);
2577 
2578   *F = B;
2579   PetscFunctionReturn(0);
2580 }
2581 
2582 #undef __FUNCT__
2583 #define __FUNCT__ "MatGetFactor_baij_mumps"
2584 static PetscErrorCode MatGetFactor_baij_mumps(Mat A,MatFactorType ftype,Mat *F)
2585 {
2586   Mat            B;
2587   PetscErrorCode ierr;
2588   Mat_MUMPS      *mumps;
2589   PetscBool      isSeqBAIJ;
2590 
2591   PetscFunctionBegin;
2592   /* Create the factorization matrix */
2593   ierr = PetscObjectTypeCompare((PetscObject)A,MATSEQBAIJ,&isSeqBAIJ);CHKERRQ(ierr);
2594   ierr = MatCreate(PetscObjectComm((PetscObject)A),&B);CHKERRQ(ierr);
2595   ierr = MatSetSizes(B,A->rmap->n,A->cmap->n,A->rmap->N,A->cmap->N);CHKERRQ(ierr);
2596   ierr = PetscStrallocpy("mumps",&((PetscObject)B)->type_name);CHKERRQ(ierr);
2597   ierr = MatSetUp(B);CHKERRQ(ierr);
2598 
2599   ierr = PetscNewLog(B,&mumps);CHKERRQ(ierr);
2600   if (ftype == MAT_FACTOR_LU) {
2601     B->ops->lufactorsymbolic = MatLUFactorSymbolic_BAIJMUMPS;
2602     B->factortype            = MAT_FACTOR_LU;
2603     if (isSeqBAIJ) mumps->ConvertToTriples = MatConvertToTriples_seqbaij_seqaij;
2604     else mumps->ConvertToTriples = MatConvertToTriples_mpibaij_mpiaij;
2605     mumps->sym = 0;
2606   } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Cannot use PETSc BAIJ matrices with MUMPS Cholesky, use SBAIJ or AIJ matrix instead\n");
2607 
2608   B->ops->getinfo     = MatGetInfo_External;
2609   B->ops->view        = MatView_MUMPS;
2610 
2611   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorGetSolverPackage_C",MatFactorGetSolverPackage_mumps);CHKERRQ(ierr);
2612   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSetSchurIS_C",MatFactorSetSchurIS_MUMPS);CHKERRQ(ierr);
2613   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorInvertSchurComplement_C",MatFactorInvertSchurComplement_MUMPS);CHKERRQ(ierr);
2614   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorCreateSchurComplement_C",MatFactorCreateSchurComplement_MUMPS);CHKERRQ(ierr);
2615   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorGetSchurComplement_C",MatFactorGetSchurComplement_MUMPS);CHKERRQ(ierr);
2616   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSolveSchurComplement_C",MatFactorSolveSchurComplement_MUMPS);CHKERRQ(ierr);
2617   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSolveSchurComplementTranspose_C",MatFactorSolveSchurComplementTranspose_MUMPS);CHKERRQ(ierr);
2618   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsSetIcntl_C",MatMumpsSetIcntl_MUMPS);CHKERRQ(ierr);
2619   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetIcntl_C",MatMumpsGetIcntl_MUMPS);CHKERRQ(ierr);
2620   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsSetCntl_C",MatMumpsSetCntl_MUMPS);CHKERRQ(ierr);
2621   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetCntl_C",MatMumpsGetCntl_MUMPS);CHKERRQ(ierr);
2622   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetInfo_C",MatMumpsGetInfo_MUMPS);CHKERRQ(ierr);
2623   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetInfog_C",MatMumpsGetInfog_MUMPS);CHKERRQ(ierr);
2624   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetRinfo_C",MatMumpsGetRinfo_MUMPS);CHKERRQ(ierr);
2625   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetRinfog_C",MatMumpsGetRinfog_MUMPS);CHKERRQ(ierr);
2626 
2627   /* set solvertype */
2628   ierr = PetscFree(B->solvertype);CHKERRQ(ierr);
2629   ierr = PetscStrallocpy(MATSOLVERMUMPS,&B->solvertype);CHKERRQ(ierr);
2630 
2631   mumps->isAIJ    = PETSC_TRUE;
2632   B->ops->destroy = MatDestroy_MUMPS;
2633   B->data        = (void*)mumps;
2634 
2635   ierr = PetscInitializeMUMPS(A,mumps);CHKERRQ(ierr);
2636 
2637   *F = B;
2638   PetscFunctionReturn(0);
2639 }
2640 
2641 #undef __FUNCT__
2642 #define __FUNCT__ "MatSolverPackageRegister_MUMPS"
2643 PETSC_EXTERN PetscErrorCode MatSolverPackageRegister_MUMPS(void)
2644 {
2645   PetscErrorCode ierr;
2646 
2647   PetscFunctionBegin;
2648   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATMPIAIJ,MAT_FACTOR_LU,MatGetFactor_aij_mumps);CHKERRQ(ierr);
2649   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATMPIAIJ,MAT_FACTOR_CHOLESKY,MatGetFactor_aij_mumps);CHKERRQ(ierr);
2650   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATMPIBAIJ,MAT_FACTOR_LU,MatGetFactor_baij_mumps);CHKERRQ(ierr);
2651   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATMPIBAIJ,MAT_FACTOR_CHOLESKY,MatGetFactor_baij_mumps);CHKERRQ(ierr);
2652   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATMPISBAIJ,MAT_FACTOR_CHOLESKY,MatGetFactor_sbaij_mumps);CHKERRQ(ierr);
2653   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATSEQAIJ,MAT_FACTOR_LU,MatGetFactor_aij_mumps);CHKERRQ(ierr);
2654   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATSEQAIJ,MAT_FACTOR_CHOLESKY,MatGetFactor_aij_mumps);CHKERRQ(ierr);
2655   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATSEQBAIJ,MAT_FACTOR_LU,MatGetFactor_baij_mumps);CHKERRQ(ierr);
2656   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATSEQBAIJ,MAT_FACTOR_CHOLESKY,MatGetFactor_baij_mumps);CHKERRQ(ierr);
2657   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATSEQSBAIJ,MAT_FACTOR_CHOLESKY,MatGetFactor_sbaij_mumps);CHKERRQ(ierr);
2658   PetscFunctionReturn(0);
2659 }
2660 
2661