xref: /petsc/src/mat/impls/aij/mpi/mumps/mumps.c (revision 9d37c360ca2fa4cd842ce4e7c6bcdf90f4d0418f)
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 (*Destroy)(Mat);
100   PetscErrorCode (*ConvertToTriples)(Mat, int, MatReuse, int*, int**, int**, PetscScalar**);
101 } Mat_MUMPS;
102 
103 extern PetscErrorCode MatDuplicate_MUMPS(Mat,MatDuplicateOption,Mat*);
104 
105 #undef __FUNCT__
106 #define __FUNCT__ "MatMumpsResetSchur_Private"
107 static PetscErrorCode MatMumpsResetSchur_Private(Mat_MUMPS* mumps)
108 {
109   PetscErrorCode ierr;
110 
111   PetscFunctionBegin;
112   ierr = PetscFree2(mumps->id.listvar_schur,mumps->id.schur);CHKERRQ(ierr);
113   ierr = PetscFree(mumps->id.redrhs);CHKERRQ(ierr);
114   ierr = PetscFree(mumps->schur_sol);CHKERRQ(ierr);
115   ierr = PetscFree(mumps->schur_pivots);CHKERRQ(ierr);
116   ierr = PetscFree(mumps->schur_work);CHKERRQ(ierr);
117   mumps->id.size_schur = 0;
118   mumps->id.ICNTL(19) = 0;
119   PetscFunctionReturn(0);
120 }
121 
122 #undef __FUNCT__
123 #define __FUNCT__ "MatMumpsFactorSchur_Private"
124 static PetscErrorCode MatMumpsFactorSchur_Private(Mat_MUMPS* mumps)
125 {
126   PetscBLASInt   B_N,B_ierr,B_slda;
127   PetscErrorCode ierr;
128 
129   PetscFunctionBegin;
130   if (mumps->schur_factored) {
131     PetscFunctionReturn(0);
132   }
133   ierr = PetscBLASIntCast(mumps->id.size_schur,&B_N);CHKERRQ(ierr);
134   ierr = PetscBLASIntCast(mumps->id.schur_lld,&B_slda);CHKERRQ(ierr);
135   if (!mumps->sym) { /* MUMPS always return a full Schur matrix */
136     if (!mumps->schur_pivots) {
137       ierr = PetscMalloc1(B_N,&mumps->schur_pivots);CHKERRQ(ierr);
138     }
139     ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr);
140     PetscStackCallBLAS("LAPACKgetrf",LAPACKgetrf_(&B_N,&B_N,(PetscScalar*)mumps->id.schur,&B_slda,mumps->schur_pivots,&B_ierr));
141     ierr = PetscFPTrapPop();CHKERRQ(ierr);
142     if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in GETRF Lapack routine %d",(int)B_ierr);
143   } else { /* either full or lower-triangular (not packed) */
144     char ord[2];
145     if (mumps->id.ICNTL(19) == 2 || mumps->id.ICNTL(19) == 3) { /* lower triangular stored by columns or full matrix */
146       sprintf(ord,"L");
147     } else { /* ICNTL(19) == 1 lower triangular stored by rows */
148       sprintf(ord,"U");
149     }
150     if (mumps->id.sym == 2) {
151       if (!mumps->schur_pivots) {
152         PetscScalar  lwork;
153 
154         ierr = PetscMalloc1(B_N,&mumps->schur_pivots);CHKERRQ(ierr);
155         mumps->schur_B_lwork=-1;
156         ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr);
157         PetscStackCallBLAS("LAPACKsytrf",LAPACKsytrf_(ord,&B_N,(PetscScalar*)mumps->id.schur,&B_slda,mumps->schur_pivots,&lwork,&mumps->schur_B_lwork,&B_ierr));
158         ierr = PetscFPTrapPop();CHKERRQ(ierr);
159         if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in query to SYTRF Lapack routine %d",(int)B_ierr);
160         ierr = PetscBLASIntCast((PetscInt)PetscRealPart(lwork),&mumps->schur_B_lwork);CHKERRQ(ierr);
161         ierr = PetscMalloc1(mumps->schur_B_lwork,&mumps->schur_work);CHKERRQ(ierr);
162       }
163       ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr);
164       PetscStackCallBLAS("LAPACKsytrf",LAPACKsytrf_(ord,&B_N,(PetscScalar*)mumps->id.schur,&B_slda,mumps->schur_pivots,mumps->schur_work,&mumps->schur_B_lwork,&B_ierr));
165       ierr = PetscFPTrapPop();CHKERRQ(ierr);
166       if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in SYTRF Lapack routine %d",(int)B_ierr);
167     } else {
168       ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr);
169       PetscStackCallBLAS("LAPACKpotrf",LAPACKpotrf_(ord,&B_N,(PetscScalar*)mumps->id.schur,&B_slda,&B_ierr));
170       ierr = PetscFPTrapPop();CHKERRQ(ierr);
171       if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in POTRF Lapack routine %d",(int)B_ierr);
172     }
173   }
174   mumps->schur_factored = PETSC_TRUE;
175   PetscFunctionReturn(0);
176 }
177 
178 #undef __FUNCT__
179 #define __FUNCT__ "MatMumpsInvertSchur_Private"
180 static PetscErrorCode MatMumpsInvertSchur_Private(Mat_MUMPS* mumps)
181 {
182   PetscBLASInt   B_N,B_ierr,B_slda;
183   PetscErrorCode ierr;
184 
185   PetscFunctionBegin;
186   ierr = MatMumpsFactorSchur_Private(mumps);CHKERRQ(ierr);
187   ierr = PetscBLASIntCast(mumps->id.size_schur,&B_N);CHKERRQ(ierr);
188   ierr = PetscBLASIntCast(mumps->id.schur_lld,&B_slda);CHKERRQ(ierr);
189   if (!mumps->sym) { /* MUMPS always return a full Schur matrix */
190     if (!mumps->schur_work) {
191       PetscScalar lwork;
192 
193       mumps->schur_B_lwork = -1;
194       ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr);
195       PetscStackCallBLAS("LAPACKgetri",LAPACKgetri_(&B_N,(PetscScalar*)mumps->id.schur,&B_N,mumps->schur_pivots,&lwork,&mumps->schur_B_lwork,&B_ierr));
196       ierr = PetscFPTrapPop();CHKERRQ(ierr);
197       if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in query to GETRI Lapack routine %d",(int)B_ierr);
198       ierr = PetscBLASIntCast((PetscInt)PetscRealPart(lwork),&mumps->schur_B_lwork);CHKERRQ(ierr);
199       ierr = PetscMalloc1(mumps->schur_B_lwork,&mumps->schur_work);CHKERRQ(ierr);
200     }
201     ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr);
202     PetscStackCallBLAS("LAPACKgetri",LAPACKgetri_(&B_N,(PetscScalar*)mumps->id.schur,&B_N,mumps->schur_pivots,mumps->schur_work,&mumps->schur_B_lwork,&B_ierr));
203     ierr = PetscFPTrapPop();CHKERRQ(ierr);
204     if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in GETRI Lapack routine %d",(int)B_ierr);
205   } else { /* either full or lower-triangular (not packed) */
206     char ord[2];
207     if (mumps->id.ICNTL(19) == 2 || mumps->id.ICNTL(19) == 3) { /* lower triangular stored by columns or full matrix */
208       sprintf(ord,"L");
209     } else { /* ICNTL(19) == 1 lower triangular stored by rows */
210       sprintf(ord,"U");
211     }
212     if (mumps->id.sym == 2) {
213       ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr);
214       PetscStackCallBLAS("LAPACKsytri",LAPACKsytri_(ord,&B_N,(PetscScalar*)mumps->id.schur,&B_N,mumps->schur_pivots,mumps->schur_work,&B_ierr));
215       ierr = PetscFPTrapPop();CHKERRQ(ierr);
216       if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in SYTRI Lapack routine %d",(int)B_ierr);
217     } else {
218       ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr);
219       PetscStackCallBLAS("LAPACKpotri",LAPACKpotri_(ord,&B_N,(PetscScalar*)mumps->id.schur,&B_N,&B_ierr));
220       ierr = PetscFPTrapPop();CHKERRQ(ierr);
221       if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in POTRI Lapack routine %d",(int)B_ierr);
222     }
223   }
224   mumps->schur_inverted = PETSC_TRUE;
225   PetscFunctionReturn(0);
226 }
227 
228 #undef __FUNCT__
229 #define __FUNCT__ "MatMumpsSolveSchur_Private"
230 static PetscErrorCode MatMumpsSolveSchur_Private(Mat_MUMPS* mumps, PetscBool sol_in_redrhs)
231 {
232   PetscBLASInt   B_N,B_Nrhs,B_ierr,B_slda,B_rlda;
233   PetscScalar    one=1.,zero=0.;
234   PetscErrorCode ierr;
235 
236   PetscFunctionBegin;
237   ierr = MatMumpsFactorSchur_Private(mumps);CHKERRQ(ierr);
238   ierr = PetscBLASIntCast(mumps->id.size_schur,&B_N);CHKERRQ(ierr);
239   ierr = PetscBLASIntCast(mumps->id.schur_lld,&B_slda);CHKERRQ(ierr);
240   ierr = PetscBLASIntCast(mumps->id.nrhs,&B_Nrhs);CHKERRQ(ierr);
241   ierr = PetscBLASIntCast(mumps->id.lredrhs,&B_rlda);CHKERRQ(ierr);
242   if (mumps->schur_inverted) {
243     PetscInt sizesol = B_Nrhs*B_N;
244     if (!mumps->schur_sol || sizesol > mumps->schur_sizesol) {
245       ierr = PetscFree(mumps->schur_sol);CHKERRQ(ierr);
246       ierr = PetscMalloc1(sizesol,&mumps->schur_sol);CHKERRQ(ierr);
247       mumps->schur_sizesol = sizesol;
248     }
249     if (!mumps->sym) {
250       char type[2];
251       if (mumps->id.ICNTL(19) == 1) { /* stored by rows */
252         if (!mumps->id.ICNTL(9)) { /* transpose solve */
253           sprintf(type,"N");
254         } else {
255           sprintf(type,"T");
256         }
257       } else { /* stored by columns */
258         if (!mumps->id.ICNTL(9)) { /* transpose solve */
259           sprintf(type,"T");
260         } else {
261           sprintf(type,"N");
262         }
263       }
264       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));
265     } else {
266       char ord[2];
267       if (mumps->id.ICNTL(19) == 2 || mumps->id.ICNTL(19) == 3) { /* lower triangular stored by columns or full matrix */
268         sprintf(ord,"L");
269       } else { /* ICNTL(19) == 1 lower triangular stored by rows */
270         sprintf(ord,"U");
271       }
272       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));
273     }
274     if (sol_in_redrhs) {
275       ierr = PetscMemcpy(mumps->id.redrhs,mumps->schur_sol,sizesol*sizeof(PetscScalar));CHKERRQ(ierr);
276     }
277   } else { /* Schur complement has not been inverted */
278     MumpsScalar *orhs=NULL;
279 
280     if (!sol_in_redrhs) {
281       PetscInt sizesol = B_Nrhs*B_N;
282       if (!mumps->schur_sol || sizesol > mumps->schur_sizesol) {
283         ierr = PetscFree(mumps->schur_sol);CHKERRQ(ierr);
284         ierr = PetscMalloc1(sizesol,&mumps->schur_sol);CHKERRQ(ierr);
285         mumps->schur_sizesol = sizesol;
286       }
287       orhs = mumps->id.redrhs;
288       ierr = PetscMemcpy(mumps->schur_sol,mumps->id.redrhs,sizesol*sizeof(PetscScalar));CHKERRQ(ierr);
289       mumps->id.redrhs = (MumpsScalar*)mumps->schur_sol;
290     }
291     if (!mumps->sym) { /* MUMPS always return a full Schur matrix */
292       char type[2];
293       if (mumps->id.ICNTL(19) == 1) { /* stored by rows */
294         if (!mumps->id.ICNTL(9)) { /* transpose solve */
295           sprintf(type,"N");
296         } else {
297           sprintf(type,"T");
298         }
299       } else { /* stored by columns */
300         if (!mumps->id.ICNTL(9)) { /* transpose solve */
301           sprintf(type,"T");
302         } else {
303           sprintf(type,"N");
304         }
305       }
306       ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr);
307       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));
308       ierr = PetscFPTrapPop();CHKERRQ(ierr);
309       if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in GETRS Lapack routine %d",(int)B_ierr);
310     } else { /* either full or lower-triangular (not packed) */
311       char ord[2];
312       if (mumps->id.ICNTL(19) == 2 || mumps->id.ICNTL(19) == 3) { /* lower triangular stored by columns or full matrix */
313         sprintf(ord,"L");
314       } else { /* ICNTL(19) == 1 lower triangular stored by rows */
315         sprintf(ord,"U");
316       }
317       if (mumps->id.sym == 2) {
318         ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr);
319         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));
320         ierr = PetscFPTrapPop();CHKERRQ(ierr);
321         if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in SYTRS Lapack routine %d",(int)B_ierr);
322       } else {
323         ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr);
324         PetscStackCallBLAS("LAPACKpotrs",LAPACKpotrs_(ord,&B_N,&B_Nrhs,(PetscScalar*)mumps->id.schur,&B_slda,(PetscScalar*)mumps->id.redrhs,&B_rlda,&B_ierr));
325         ierr = PetscFPTrapPop();CHKERRQ(ierr);
326         if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in POTRS Lapack routine %d",(int)B_ierr);
327       }
328     }
329     if (!sol_in_redrhs) {
330       mumps->id.redrhs = orhs;
331     }
332   }
333   PetscFunctionReturn(0);
334 }
335 
336 #undef __FUNCT__
337 #define __FUNCT__ "MatMumpsHandleSchur_Private"
338 static PetscErrorCode MatMumpsHandleSchur_Private(Mat_MUMPS* mumps, PetscBool expansion)
339 {
340   PetscErrorCode ierr;
341 
342   PetscFunctionBegin;
343   if (!mumps->id.ICNTL(19)) { /* do nothing when Schur complement has not been computed */
344     PetscFunctionReturn(0);
345   }
346   if (!expansion) { /* prepare for the condensation step */
347     PetscInt sizeredrhs = mumps->id.nrhs*mumps->id.size_schur;
348     /* allocate MUMPS internal array to store reduced right-hand sides */
349     if (!mumps->id.redrhs || sizeredrhs > mumps->sizeredrhs) {
350       ierr = PetscFree(mumps->id.redrhs);CHKERRQ(ierr);
351       mumps->id.lredrhs = mumps->id.size_schur;
352       ierr = PetscMalloc1(mumps->id.nrhs*mumps->id.lredrhs,&mumps->id.redrhs);CHKERRQ(ierr);
353       mumps->sizeredrhs = mumps->id.nrhs*mumps->id.lredrhs;
354     }
355     mumps->id.ICNTL(26) = 1; /* condensation phase */
356   } else { /* prepare for the expansion step */
357     /* solve Schur complement (this has to be done by the MUMPS user, so basically us) */
358     ierr = MatMumpsSolveSchur_Private(mumps,PETSC_TRUE);CHKERRQ(ierr);
359     mumps->id.ICNTL(26) = 2; /* expansion phase */
360     PetscMUMPS_c(&mumps->id);
361     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));
362     /* restore defaults */
363     mumps->id.ICNTL(26) = -1;
364   }
365   PetscFunctionReturn(0);
366 }
367 
368 /*
369   MatConvertToTriples_A_B - convert Petsc matrix to triples: row[nz], col[nz], val[nz]
370 
371   input:
372     A       - matrix in aij,baij or sbaij (bs=1) format
373     shift   - 0: C style output triple; 1: Fortran style output triple.
374     reuse   - MAT_INITIAL_MATRIX: spaces are allocated and values are set for the triple
375               MAT_REUSE_MATRIX:   only the values in v array are updated
376   output:
377     nnz     - dim of r, c, and v (number of local nonzero entries of A)
378     r, c, v - row and col index, matrix values (matrix triples)
379 
380   The returned values r, c, and sometimes v are obtained in a single PetscMalloc(). Then in MatDestroy_MUMPS() it is
381   freed with PetscFree((mumps->irn);  This is not ideal code, the fact that v is ONLY sometimes part of mumps->irn means
382   that the PetscMalloc() cannot easily be replaced with a PetscMalloc3().
383 
384  */
385 
386 #undef __FUNCT__
387 #define __FUNCT__ "MatConvertToTriples_seqaij_seqaij"
388 PetscErrorCode MatConvertToTriples_seqaij_seqaij(Mat A,int shift,MatReuse reuse,int *nnz,int **r, int **c, PetscScalar **v)
389 {
390   const PetscInt *ai,*aj,*ajj,M=A->rmap->n;
391   PetscInt       nz,rnz,i,j;
392   PetscErrorCode ierr;
393   PetscInt       *row,*col;
394   Mat_SeqAIJ     *aa=(Mat_SeqAIJ*)A->data;
395 
396   PetscFunctionBegin;
397   *v=aa->a;
398   if (reuse == MAT_INITIAL_MATRIX) {
399     nz   = aa->nz;
400     ai   = aa->i;
401     aj   = aa->j;
402     *nnz = nz;
403     ierr = PetscMalloc1(2*nz, &row);CHKERRQ(ierr);
404     col  = row + nz;
405 
406     nz = 0;
407     for (i=0; i<M; i++) {
408       rnz = ai[i+1] - ai[i];
409       ajj = aj + ai[i];
410       for (j=0; j<rnz; j++) {
411         row[nz] = i+shift; col[nz++] = ajj[j] + shift;
412       }
413     }
414     *r = row; *c = col;
415   }
416   PetscFunctionReturn(0);
417 }
418 
419 #undef __FUNCT__
420 #define __FUNCT__ "MatConvertToTriples_seqbaij_seqaij"
421 PetscErrorCode MatConvertToTriples_seqbaij_seqaij(Mat A,int shift,MatReuse reuse,int *nnz,int **r, int **c, PetscScalar **v)
422 {
423   Mat_SeqBAIJ    *aa=(Mat_SeqBAIJ*)A->data;
424   const PetscInt *ai,*aj,*ajj,bs2 = aa->bs2;
425   PetscInt       bs,M,nz,idx=0,rnz,i,j,k,m;
426   PetscErrorCode ierr;
427   PetscInt       *row,*col;
428 
429   PetscFunctionBegin;
430   ierr = MatGetBlockSize(A,&bs);CHKERRQ(ierr);
431   M = A->rmap->N/bs;
432   *v = aa->a;
433   if (reuse == MAT_INITIAL_MATRIX) {
434     ai   = aa->i; aj = aa->j;
435     nz   = bs2*aa->nz;
436     *nnz = nz;
437     ierr = PetscMalloc1(2*nz, &row);CHKERRQ(ierr);
438     col  = row + nz;
439 
440     for (i=0; i<M; i++) {
441       ajj = aj + ai[i];
442       rnz = ai[i+1] - ai[i];
443       for (k=0; k<rnz; k++) {
444         for (j=0; j<bs; j++) {
445           for (m=0; m<bs; m++) {
446             row[idx]   = i*bs + m + shift;
447             col[idx++] = bs*(ajj[k]) + j + shift;
448           }
449         }
450       }
451     }
452     *r = row; *c = col;
453   }
454   PetscFunctionReturn(0);
455 }
456 
457 #undef __FUNCT__
458 #define __FUNCT__ "MatConvertToTriples_seqsbaij_seqsbaij"
459 PetscErrorCode MatConvertToTriples_seqsbaij_seqsbaij(Mat A,int shift,MatReuse reuse,int *nnz,int **r, int **c, PetscScalar **v)
460 {
461   const PetscInt *ai, *aj,*ajj,M=A->rmap->n;
462   PetscInt       nz,rnz,i,j;
463   PetscErrorCode ierr;
464   PetscInt       *row,*col;
465   Mat_SeqSBAIJ   *aa=(Mat_SeqSBAIJ*)A->data;
466 
467   PetscFunctionBegin;
468   *v = aa->a;
469   if (reuse == MAT_INITIAL_MATRIX) {
470     nz   = aa->nz;
471     ai   = aa->i;
472     aj   = aa->j;
473     *v   = aa->a;
474     *nnz = nz;
475     ierr = PetscMalloc1(2*nz, &row);CHKERRQ(ierr);
476     col  = row + nz;
477 
478     nz = 0;
479     for (i=0; i<M; i++) {
480       rnz = ai[i+1] - ai[i];
481       ajj = aj + ai[i];
482       for (j=0; j<rnz; j++) {
483         row[nz] = i+shift; col[nz++] = ajj[j] + shift;
484       }
485     }
486     *r = row; *c = col;
487   }
488   PetscFunctionReturn(0);
489 }
490 
491 #undef __FUNCT__
492 #define __FUNCT__ "MatConvertToTriples_seqaij_seqsbaij"
493 PetscErrorCode MatConvertToTriples_seqaij_seqsbaij(Mat A,int shift,MatReuse reuse,int *nnz,int **r, int **c, PetscScalar **v)
494 {
495   const PetscInt    *ai,*aj,*ajj,*adiag,M=A->rmap->n;
496   PetscInt          nz,rnz,i,j;
497   const PetscScalar *av,*v1;
498   PetscScalar       *val;
499   PetscErrorCode    ierr;
500   PetscInt          *row,*col;
501   Mat_SeqAIJ        *aa=(Mat_SeqAIJ*)A->data;
502   PetscBool         missing;
503 
504   PetscFunctionBegin;
505   ai   =aa->i; aj=aa->j;av=aa->a;
506   adiag=aa->diag;
507   ierr  = MatMissingDiagonal_SeqAIJ(A,&missing,&i);CHKERRQ(ierr);
508   if (reuse == MAT_INITIAL_MATRIX) {
509     /* count nz in the uppper triangular part of A */
510     nz = 0;
511     if (missing) {
512       for (i=0; i<M; i++) {
513         if (PetscUnlikely(adiag[i] >= ai[i+1])) {
514           for (j=ai[i];j<ai[i+1];j++) {
515             if (aj[j] < i) continue;
516             nz++;
517           }
518         } else {
519           nz += ai[i+1] - adiag[i];
520         }
521       }
522     } else {
523       for (i=0; i<M; i++) nz += ai[i+1] - adiag[i];
524     }
525     *nnz = nz;
526 
527     ierr = PetscMalloc((2*nz*sizeof(PetscInt)+nz*sizeof(PetscScalar)), &row);CHKERRQ(ierr);
528     col  = row + nz;
529     val  = (PetscScalar*)(col + nz);
530 
531     nz = 0;
532     if (missing) {
533       for (i=0; i<M; i++) {
534         if (PetscUnlikely(adiag[i] >= ai[i+1])) {
535           for (j=ai[i];j<ai[i+1];j++) {
536             if (aj[j] < i) continue;
537             row[nz] = i+shift;
538             col[nz] = aj[j]+shift;
539             val[nz] = av[j];
540             nz++;
541           }
542         } else {
543           rnz = ai[i+1] - adiag[i];
544           ajj = aj + adiag[i];
545           v1  = av + adiag[i];
546           for (j=0; j<rnz; j++) {
547             row[nz] = i+shift; col[nz] = ajj[j] + shift; val[nz++] = v1[j];
548           }
549         }
550       }
551     } else {
552       for (i=0; i<M; i++) {
553         rnz = ai[i+1] - adiag[i];
554         ajj = aj + adiag[i];
555         v1  = av + adiag[i];
556         for (j=0; j<rnz; j++) {
557           row[nz] = i+shift; col[nz] = ajj[j] + shift; val[nz++] = v1[j];
558         }
559       }
560     }
561     *r = row; *c = col; *v = val;
562   } else {
563     nz = 0; val = *v;
564     if (missing) {
565       for (i=0; i <M; i++) {
566         if (PetscUnlikely(adiag[i] >= ai[i+1])) {
567           for (j=ai[i];j<ai[i+1];j++) {
568             if (aj[j] < i) continue;
569             val[nz++] = av[j];
570           }
571         } else {
572           rnz = ai[i+1] - adiag[i];
573           v1  = av + adiag[i];
574           for (j=0; j<rnz; j++) {
575             val[nz++] = v1[j];
576           }
577         }
578       }
579     } else {
580       for (i=0; i <M; i++) {
581         rnz = ai[i+1] - adiag[i];
582         v1  = av + adiag[i];
583         for (j=0; j<rnz; j++) {
584           val[nz++] = v1[j];
585         }
586       }
587     }
588   }
589   PetscFunctionReturn(0);
590 }
591 
592 #undef __FUNCT__
593 #define __FUNCT__ "MatConvertToTriples_mpisbaij_mpisbaij"
594 PetscErrorCode MatConvertToTriples_mpisbaij_mpisbaij(Mat A,int shift,MatReuse reuse,int *nnz,int **r, int **c, PetscScalar **v)
595 {
596   const PetscInt    *ai, *aj, *bi, *bj,*garray,m=A->rmap->n,*ajj,*bjj;
597   PetscErrorCode    ierr;
598   PetscInt          rstart,nz,i,j,jj,irow,countA,countB;
599   PetscInt          *row,*col;
600   const PetscScalar *av, *bv,*v1,*v2;
601   PetscScalar       *val;
602   Mat_MPISBAIJ      *mat = (Mat_MPISBAIJ*)A->data;
603   Mat_SeqSBAIJ      *aa  = (Mat_SeqSBAIJ*)(mat->A)->data;
604   Mat_SeqBAIJ       *bb  = (Mat_SeqBAIJ*)(mat->B)->data;
605 
606   PetscFunctionBegin;
607   ai=aa->i; aj=aa->j; bi=bb->i; bj=bb->j; rstart= A->rmap->rstart;
608   av=aa->a; bv=bb->a;
609 
610   garray = mat->garray;
611 
612   if (reuse == MAT_INITIAL_MATRIX) {
613     nz   = aa->nz + bb->nz;
614     *nnz = nz;
615     ierr = PetscMalloc((2*nz*sizeof(PetscInt)+nz*sizeof(PetscScalar)), &row);CHKERRQ(ierr);
616     col  = row + nz;
617     val  = (PetscScalar*)(col + nz);
618 
619     *r = row; *c = col; *v = val;
620   } else {
621     row = *r; col = *c; val = *v;
622   }
623 
624   jj = 0; irow = rstart;
625   for (i=0; i<m; i++) {
626     ajj    = aj + ai[i];                 /* ptr to the beginning of this row */
627     countA = ai[i+1] - ai[i];
628     countB = bi[i+1] - bi[i];
629     bjj    = bj + bi[i];
630     v1     = av + ai[i];
631     v2     = bv + bi[i];
632 
633     /* A-part */
634     for (j=0; j<countA; j++) {
635       if (reuse == MAT_INITIAL_MATRIX) {
636         row[jj] = irow + shift; col[jj] = rstart + ajj[j] + shift;
637       }
638       val[jj++] = v1[j];
639     }
640 
641     /* B-part */
642     for (j=0; j < countB; j++) {
643       if (reuse == MAT_INITIAL_MATRIX) {
644         row[jj] = irow + shift; col[jj] = garray[bjj[j]] + shift;
645       }
646       val[jj++] = v2[j];
647     }
648     irow++;
649   }
650   PetscFunctionReturn(0);
651 }
652 
653 #undef __FUNCT__
654 #define __FUNCT__ "MatConvertToTriples_mpiaij_mpiaij"
655 PetscErrorCode MatConvertToTriples_mpiaij_mpiaij(Mat A,int shift,MatReuse reuse,int *nnz,int **r, int **c, PetscScalar **v)
656 {
657   const PetscInt    *ai, *aj, *bi, *bj,*garray,m=A->rmap->n,*ajj,*bjj;
658   PetscErrorCode    ierr;
659   PetscInt          rstart,nz,i,j,jj,irow,countA,countB;
660   PetscInt          *row,*col;
661   const PetscScalar *av, *bv,*v1,*v2;
662   PetscScalar       *val;
663   Mat_MPIAIJ        *mat = (Mat_MPIAIJ*)A->data;
664   Mat_SeqAIJ        *aa  = (Mat_SeqAIJ*)(mat->A)->data;
665   Mat_SeqAIJ        *bb  = (Mat_SeqAIJ*)(mat->B)->data;
666 
667   PetscFunctionBegin;
668   ai=aa->i; aj=aa->j; bi=bb->i; bj=bb->j; rstart= A->rmap->rstart;
669   av=aa->a; bv=bb->a;
670 
671   garray = mat->garray;
672 
673   if (reuse == MAT_INITIAL_MATRIX) {
674     nz   = aa->nz + bb->nz;
675     *nnz = nz;
676     ierr = PetscMalloc((2*nz*sizeof(PetscInt)+nz*sizeof(PetscScalar)), &row);CHKERRQ(ierr);
677     col  = row + nz;
678     val  = (PetscScalar*)(col + nz);
679 
680     *r = row; *c = col; *v = val;
681   } else {
682     row = *r; col = *c; val = *v;
683   }
684 
685   jj = 0; irow = rstart;
686   for (i=0; i<m; i++) {
687     ajj    = aj + ai[i];                 /* ptr to the beginning of this row */
688     countA = ai[i+1] - ai[i];
689     countB = bi[i+1] - bi[i];
690     bjj    = bj + bi[i];
691     v1     = av + ai[i];
692     v2     = bv + bi[i];
693 
694     /* A-part */
695     for (j=0; j<countA; j++) {
696       if (reuse == MAT_INITIAL_MATRIX) {
697         row[jj] = irow + shift; col[jj] = rstart + ajj[j] + shift;
698       }
699       val[jj++] = v1[j];
700     }
701 
702     /* B-part */
703     for (j=0; j < countB; j++) {
704       if (reuse == MAT_INITIAL_MATRIX) {
705         row[jj] = irow + shift; col[jj] = garray[bjj[j]] + shift;
706       }
707       val[jj++] = v2[j];
708     }
709     irow++;
710   }
711   PetscFunctionReturn(0);
712 }
713 
714 #undef __FUNCT__
715 #define __FUNCT__ "MatConvertToTriples_mpibaij_mpiaij"
716 PetscErrorCode MatConvertToTriples_mpibaij_mpiaij(Mat A,int shift,MatReuse reuse,int *nnz,int **r, int **c, PetscScalar **v)
717 {
718   Mat_MPIBAIJ       *mat    = (Mat_MPIBAIJ*)A->data;
719   Mat_SeqBAIJ       *aa     = (Mat_SeqBAIJ*)(mat->A)->data;
720   Mat_SeqBAIJ       *bb     = (Mat_SeqBAIJ*)(mat->B)->data;
721   const PetscInt    *ai     = aa->i, *bi = bb->i, *aj = aa->j, *bj = bb->j,*ajj, *bjj;
722   const PetscInt    *garray = mat->garray,mbs=mat->mbs,rstart=A->rmap->rstart;
723   const PetscInt    bs2=mat->bs2;
724   PetscErrorCode    ierr;
725   PetscInt          bs,nz,i,j,k,n,jj,irow,countA,countB,idx;
726   PetscInt          *row,*col;
727   const PetscScalar *av=aa->a, *bv=bb->a,*v1,*v2;
728   PetscScalar       *val;
729 
730   PetscFunctionBegin;
731   ierr = MatGetBlockSize(A,&bs);CHKERRQ(ierr);
732   if (reuse == MAT_INITIAL_MATRIX) {
733     nz   = bs2*(aa->nz + bb->nz);
734     *nnz = nz;
735     ierr = PetscMalloc((2*nz*sizeof(PetscInt)+nz*sizeof(PetscScalar)), &row);CHKERRQ(ierr);
736     col  = row + nz;
737     val  = (PetscScalar*)(col + nz);
738 
739     *r = row; *c = col; *v = val;
740   } else {
741     row = *r; col = *c; val = *v;
742   }
743 
744   jj = 0; irow = rstart;
745   for (i=0; i<mbs; i++) {
746     countA = ai[i+1] - ai[i];
747     countB = bi[i+1] - bi[i];
748     ajj    = aj + ai[i];
749     bjj    = bj + bi[i];
750     v1     = av + bs2*ai[i];
751     v2     = bv + bs2*bi[i];
752 
753     idx = 0;
754     /* A-part */
755     for (k=0; k<countA; k++) {
756       for (j=0; j<bs; j++) {
757         for (n=0; n<bs; n++) {
758           if (reuse == MAT_INITIAL_MATRIX) {
759             row[jj] = irow + n + shift;
760             col[jj] = rstart + bs*ajj[k] + j + shift;
761           }
762           val[jj++] = v1[idx++];
763         }
764       }
765     }
766 
767     idx = 0;
768     /* B-part */
769     for (k=0; k<countB; k++) {
770       for (j=0; j<bs; j++) {
771         for (n=0; n<bs; n++) {
772           if (reuse == MAT_INITIAL_MATRIX) {
773             row[jj] = irow + n + shift;
774             col[jj] = bs*garray[bjj[k]] + j + shift;
775           }
776           val[jj++] = v2[idx++];
777         }
778       }
779     }
780     irow += bs;
781   }
782   PetscFunctionReturn(0);
783 }
784 
785 #undef __FUNCT__
786 #define __FUNCT__ "MatConvertToTriples_mpiaij_mpisbaij"
787 PetscErrorCode MatConvertToTriples_mpiaij_mpisbaij(Mat A,int shift,MatReuse reuse,int *nnz,int **r, int **c, PetscScalar **v)
788 {
789   const PetscInt    *ai, *aj,*adiag, *bi, *bj,*garray,m=A->rmap->n,*ajj,*bjj;
790   PetscErrorCode    ierr;
791   PetscInt          rstart,nz,nza,nzb,i,j,jj,irow,countA,countB;
792   PetscInt          *row,*col;
793   const PetscScalar *av, *bv,*v1,*v2;
794   PetscScalar       *val;
795   Mat_MPIAIJ        *mat =  (Mat_MPIAIJ*)A->data;
796   Mat_SeqAIJ        *aa  =(Mat_SeqAIJ*)(mat->A)->data;
797   Mat_SeqAIJ        *bb  =(Mat_SeqAIJ*)(mat->B)->data;
798 
799   PetscFunctionBegin;
800   ai=aa->i; aj=aa->j; adiag=aa->diag;
801   bi=bb->i; bj=bb->j; garray = mat->garray;
802   av=aa->a; bv=bb->a;
803 
804   rstart = A->rmap->rstart;
805 
806   if (reuse == MAT_INITIAL_MATRIX) {
807     nza = 0;    /* num of upper triangular entries in mat->A, including diagonals */
808     nzb = 0;    /* num of upper triangular entries in mat->B */
809     for (i=0; i<m; i++) {
810       nza   += (ai[i+1] - adiag[i]);
811       countB = bi[i+1] - bi[i];
812       bjj    = bj + bi[i];
813       for (j=0; j<countB; j++) {
814         if (garray[bjj[j]] > rstart) nzb++;
815       }
816     }
817 
818     nz   = nza + nzb; /* total nz of upper triangular part of mat */
819     *nnz = nz;
820     ierr = PetscMalloc((2*nz*sizeof(PetscInt)+nz*sizeof(PetscScalar)), &row);CHKERRQ(ierr);
821     col  = row + nz;
822     val  = (PetscScalar*)(col + nz);
823 
824     *r = row; *c = col; *v = val;
825   } else {
826     row = *r; col = *c; val = *v;
827   }
828 
829   jj = 0; irow = rstart;
830   for (i=0; i<m; i++) {
831     ajj    = aj + adiag[i];                 /* ptr to the beginning of the diagonal of this row */
832     v1     = av + adiag[i];
833     countA = ai[i+1] - adiag[i];
834     countB = bi[i+1] - bi[i];
835     bjj    = bj + bi[i];
836     v2     = bv + bi[i];
837 
838     /* A-part */
839     for (j=0; j<countA; j++) {
840       if (reuse == MAT_INITIAL_MATRIX) {
841         row[jj] = irow + shift; col[jj] = rstart + ajj[j] + shift;
842       }
843       val[jj++] = v1[j];
844     }
845 
846     /* B-part */
847     for (j=0; j < countB; j++) {
848       if (garray[bjj[j]] > rstart) {
849         if (reuse == MAT_INITIAL_MATRIX) {
850           row[jj] = irow + shift; col[jj] = garray[bjj[j]] + shift;
851         }
852         val[jj++] = v2[j];
853       }
854     }
855     irow++;
856   }
857   PetscFunctionReturn(0);
858 }
859 
860 #undef __FUNCT__
861 #define __FUNCT__ "MatGetDiagonal_MUMPS"
862 PetscErrorCode MatGetDiagonal_MUMPS(Mat A,Vec v)
863 {
864   PetscFunctionBegin;
865   SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_SUP,"Mat type: MUMPS factor");
866   PetscFunctionReturn(0);
867 }
868 
869 #undef __FUNCT__
870 #define __FUNCT__ "MatDestroy_MUMPS"
871 PetscErrorCode MatDestroy_MUMPS(Mat A)
872 {
873   Mat_MUMPS      *mumps=(Mat_MUMPS*)A->spptr;
874   PetscErrorCode ierr;
875 
876   PetscFunctionBegin;
877   ierr = PetscFree2(mumps->id.sol_loc,mumps->id.isol_loc);CHKERRQ(ierr);
878   ierr = VecScatterDestroy(&mumps->scat_rhs);CHKERRQ(ierr);
879   ierr = VecScatterDestroy(&mumps->scat_sol);CHKERRQ(ierr);
880   ierr = VecDestroy(&mumps->b_seq);CHKERRQ(ierr);
881   ierr = VecDestroy(&mumps->x_seq);CHKERRQ(ierr);
882   ierr = PetscFree(mumps->id.perm_in);CHKERRQ(ierr);
883   ierr = PetscFree(mumps->irn);CHKERRQ(ierr);
884   ierr = PetscFree(mumps->info);CHKERRQ(ierr);
885   ierr = MatMumpsResetSchur_Private(mumps);CHKERRQ(ierr);
886   mumps->id.job = JOB_END;
887   PetscMUMPS_c(&mumps->id);
888   ierr = MPI_Comm_free(&mumps->comm_mumps);CHKERRQ(ierr);
889   if (mumps->Destroy) {
890     ierr = (mumps->Destroy)(A);CHKERRQ(ierr);
891   }
892   ierr = PetscFree(A->spptr);CHKERRQ(ierr);
893 
894   /* clear composed functions */
895   ierr = PetscObjectComposeFunction((PetscObject)A,"MatFactorGetSolverPackage_C",NULL);CHKERRQ(ierr);
896   ierr = PetscObjectComposeFunction((PetscObject)A,"MatFactorSetSchurIS_C",NULL);CHKERRQ(ierr);
897   ierr = PetscObjectComposeFunction((PetscObject)A,"MatFactorInvertSchurComplement_C",NULL);CHKERRQ(ierr);
898   ierr = PetscObjectComposeFunction((PetscObject)A,"MatFactorCreateSchurComplement_C",NULL);CHKERRQ(ierr);
899   ierr = PetscObjectComposeFunction((PetscObject)A,"MatFactorGetSchurComplement_C",NULL);CHKERRQ(ierr);
900   ierr = PetscObjectComposeFunction((PetscObject)A,"MatFactorSolveSchurComplement_C",NULL);CHKERRQ(ierr);
901   ierr = PetscObjectComposeFunction((PetscObject)A,"MatFactorSolveSchurComplementTranspose_C",NULL);CHKERRQ(ierr);
902   ierr = PetscObjectComposeFunction((PetscObject)A,"MatMumpsSetIcntl_C",NULL);CHKERRQ(ierr);
903   ierr = PetscObjectComposeFunction((PetscObject)A,"MatMumpsGetIcntl_C",NULL);CHKERRQ(ierr);
904   ierr = PetscObjectComposeFunction((PetscObject)A,"MatMumpsSetCntl_C",NULL);CHKERRQ(ierr);
905   ierr = PetscObjectComposeFunction((PetscObject)A,"MatMumpsGetCntl_C",NULL);CHKERRQ(ierr);
906   ierr = PetscObjectComposeFunction((PetscObject)A,"MatMumpsGetInfo_C",NULL);CHKERRQ(ierr);
907   ierr = PetscObjectComposeFunction((PetscObject)A,"MatMumpsGetInfog_C",NULL);CHKERRQ(ierr);
908   ierr = PetscObjectComposeFunction((PetscObject)A,"MatMumpsGetRinfo_C",NULL);CHKERRQ(ierr);
909   ierr = PetscObjectComposeFunction((PetscObject)A,"MatMumpsGetRinfog_C",NULL);CHKERRQ(ierr);
910   PetscFunctionReturn(0);
911 }
912 
913 #undef __FUNCT__
914 #define __FUNCT__ "MatSolve_MUMPS"
915 PetscErrorCode MatSolve_MUMPS(Mat A,Vec b,Vec x)
916 {
917   Mat_MUMPS        *mumps=(Mat_MUMPS*)A->spptr;
918   PetscScalar      *array;
919   Vec              b_seq;
920   IS               is_iden,is_petsc;
921   PetscErrorCode   ierr;
922   PetscInt         i;
923   PetscBool        second_solve = PETSC_FALSE;
924   static PetscBool cite1 = PETSC_FALSE,cite2 = PETSC_FALSE;
925 
926   PetscFunctionBegin;
927   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);
928   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);
929 
930   if (A->errortype) {
931     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);
932     ierr = VecSetInf(x);CHKERRQ(ierr);
933     PetscFunctionReturn(0);
934   }
935 
936   mumps->id.nrhs = 1;
937   b_seq          = mumps->b_seq;
938   if (mumps->size > 1) {
939     /* MUMPS only supports centralized rhs. Scatter b into a seqential rhs vector */
940     ierr = VecScatterBegin(mumps->scat_rhs,b,b_seq,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
941     ierr = VecScatterEnd(mumps->scat_rhs,b,b_seq,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
942     if (!mumps->myid) {ierr = VecGetArray(b_seq,&array);CHKERRQ(ierr);}
943   } else {  /* size == 1 */
944     ierr = VecCopy(b,x);CHKERRQ(ierr);
945     ierr = VecGetArray(x,&array);CHKERRQ(ierr);
946   }
947   if (!mumps->myid) { /* define rhs on the host */
948     mumps->id.nrhs = 1;
949     mumps->id.rhs = (MumpsScalar*)array;
950   }
951 
952   /*
953      handle condensation step of Schur complement (if any)
954      We set by default ICNTL(26) == -1 when Schur indices have been provided by the user.
955      According to MUMPS (5.0.0) manual, any value should be harmful during the factorization phase
956      Unless the user provides a valid value for ICNTL(26), MatSolve and MatMatSolve routines solve the full system.
957      This requires an extra call to PetscMUMPS_c and the computation of the factors for S
958   */
959   if (mumps->id.ICNTL(26) < 0 || mumps->id.ICNTL(26) > 2) {
960     second_solve = PETSC_TRUE;
961     ierr = MatMumpsHandleSchur_Private(mumps,PETSC_FALSE);CHKERRQ(ierr);
962   }
963   /* solve phase */
964   /*-------------*/
965   mumps->id.job = JOB_SOLVE;
966   PetscMUMPS_c(&mumps->id);
967   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));
968 
969   /* handle expansion step of Schur complement (if any) */
970   if (second_solve) {
971     ierr = MatMumpsHandleSchur_Private(mumps,PETSC_TRUE);CHKERRQ(ierr);
972   }
973 
974   if (mumps->size > 1) { /* convert mumps distributed solution to petsc mpi x */
975     if (mumps->scat_sol && mumps->ICNTL9_pre != mumps->id.ICNTL(9)) {
976       /* when id.ICNTL(9) changes, the contents of lsol_loc may change (not its size, lsol_loc), recreates scat_sol */
977       ierr = VecScatterDestroy(&mumps->scat_sol);CHKERRQ(ierr);
978     }
979     if (!mumps->scat_sol) { /* create scatter scat_sol */
980       ierr = ISCreateStride(PETSC_COMM_SELF,mumps->id.lsol_loc,0,1,&is_iden);CHKERRQ(ierr); /* from */
981       for (i=0; i<mumps->id.lsol_loc; i++) {
982         mumps->id.isol_loc[i] -= 1; /* change Fortran style to C style */
983       }
984       ierr = ISCreateGeneral(PETSC_COMM_SELF,mumps->id.lsol_loc,mumps->id.isol_loc,PETSC_COPY_VALUES,&is_petsc);CHKERRQ(ierr);  /* to */
985       ierr = VecScatterCreate(mumps->x_seq,is_iden,x,is_petsc,&mumps->scat_sol);CHKERRQ(ierr);
986       ierr = ISDestroy(&is_iden);CHKERRQ(ierr);
987       ierr = ISDestroy(&is_petsc);CHKERRQ(ierr);
988 
989       mumps->ICNTL9_pre = mumps->id.ICNTL(9); /* save current value of id.ICNTL(9) */
990     }
991 
992     ierr = VecScatterBegin(mumps->scat_sol,mumps->x_seq,x,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
993     ierr = VecScatterEnd(mumps->scat_sol,mumps->x_seq,x,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
994   }
995   PetscFunctionReturn(0);
996 }
997 
998 #undef __FUNCT__
999 #define __FUNCT__ "MatSolveTranspose_MUMPS"
1000 PetscErrorCode MatSolveTranspose_MUMPS(Mat A,Vec b,Vec x)
1001 {
1002   Mat_MUMPS      *mumps=(Mat_MUMPS*)A->spptr;
1003   PetscErrorCode ierr;
1004 
1005   PetscFunctionBegin;
1006   mumps->id.ICNTL(9) = 0;
1007   ierr = MatSolve_MUMPS(A,b,x);CHKERRQ(ierr);
1008   mumps->id.ICNTL(9) = 1;
1009   PetscFunctionReturn(0);
1010 }
1011 
1012 #undef __FUNCT__
1013 #define __FUNCT__ "MatMatSolve_MUMPS"
1014 PetscErrorCode MatMatSolve_MUMPS(Mat A,Mat B,Mat X)
1015 {
1016   PetscErrorCode ierr;
1017   PetscBool      flg;
1018   Mat_MUMPS      *mumps=(Mat_MUMPS*)A->spptr;
1019   PetscInt       i,nrhs,M;
1020   PetscScalar    *array,*bray;
1021 
1022   PetscFunctionBegin;
1023   ierr = PetscObjectTypeCompareAny((PetscObject)B,&flg,MATSEQDENSE,MATMPIDENSE,NULL);CHKERRQ(ierr);
1024   if (!flg) SETERRQ(PetscObjectComm((PetscObject)B),PETSC_ERR_ARG_WRONG,"Matrix B must be MATDENSE matrix");
1025   ierr = PetscObjectTypeCompareAny((PetscObject)X,&flg,MATSEQDENSE,MATMPIDENSE,NULL);CHKERRQ(ierr);
1026   if (!flg) SETERRQ(PetscObjectComm((PetscObject)X),PETSC_ERR_ARG_WRONG,"Matrix X must be MATDENSE matrix");
1027   if (B->rmap->n != X->rmap->n) SETERRQ(PetscObjectComm((PetscObject)B),PETSC_ERR_ARG_WRONG,"Matrix B and X must have same row distribution");
1028 
1029   ierr = MatGetSize(B,&M,&nrhs);CHKERRQ(ierr);
1030   mumps->id.nrhs = nrhs;
1031   mumps->id.lrhs = M;
1032 
1033   if (mumps->size == 1) {
1034     /* copy B to X */
1035     ierr = MatDenseGetArray(B,&bray);CHKERRQ(ierr);
1036     ierr = MatDenseGetArray(X,&array);CHKERRQ(ierr);
1037     ierr = PetscMemcpy(array,bray,M*nrhs*sizeof(PetscScalar));CHKERRQ(ierr);
1038     ierr = MatDenseRestoreArray(B,&bray);CHKERRQ(ierr);
1039     mumps->id.rhs = (MumpsScalar*)array;
1040     /* handle condensation step of Schur complement (if any) */
1041     ierr = MatMumpsHandleSchur_Private(mumps,PETSC_FALSE);CHKERRQ(ierr);
1042 
1043     /* solve phase */
1044     /*-------------*/
1045     mumps->id.job = JOB_SOLVE;
1046     PetscMUMPS_c(&mumps->id);
1047     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));
1048 
1049     /* handle expansion step of Schur complement (if any) */
1050     ierr = MatMumpsHandleSchur_Private(mumps,PETSC_TRUE);CHKERRQ(ierr);
1051     ierr = MatDenseRestoreArray(X,&array);CHKERRQ(ierr);
1052   } else {  /*--------- parallel case --------*/
1053     PetscInt       lsol_loc,nlsol_loc,*isol_loc,*idx,*iidx,*idxx,*isol_loc_save;
1054     MumpsScalar    *sol_loc,*sol_loc_save;
1055     IS             is_to,is_from;
1056     PetscInt       k,proc,j,m;
1057     const PetscInt *rstart;
1058     Vec            v_mpi,b_seq,x_seq;
1059     VecScatter     scat_rhs,scat_sol;
1060 
1061     /* create x_seq to hold local solution */
1062     isol_loc_save = mumps->id.isol_loc; /* save it for MatSovle() */
1063     sol_loc_save  = mumps->id.sol_loc;
1064 
1065     lsol_loc  = mumps->id.INFO(23);
1066     nlsol_loc = nrhs*lsol_loc;     /* length of sol_loc */
1067     ierr = PetscMalloc2(nlsol_loc,&sol_loc,nlsol_loc,&isol_loc);CHKERRQ(ierr);
1068     mumps->id.sol_loc = (MumpsScalar*)sol_loc;
1069     mumps->id.isol_loc = isol_loc;
1070 
1071     ierr = VecCreateSeqWithArray(PETSC_COMM_SELF,1,nlsol_loc,(PetscScalar*)sol_loc,&x_seq);CHKERRQ(ierr);
1072 
1073     /* copy rhs matrix B into vector v_mpi */
1074     ierr = MatGetLocalSize(B,&m,NULL);CHKERRQ(ierr);
1075     ierr = MatDenseGetArray(B,&bray);CHKERRQ(ierr);
1076     ierr = VecCreateMPIWithArray(PetscObjectComm((PetscObject)B),1,nrhs*m,nrhs*M,(const PetscScalar*)bray,&v_mpi);CHKERRQ(ierr);
1077     ierr = MatDenseRestoreArray(B,&bray);CHKERRQ(ierr);
1078 
1079     /* scatter v_mpi to b_seq because MUMPS only supports centralized rhs */
1080     /* idx: maps from k-th index of v_mpi to (i,j)-th global entry of B;
1081       iidx: inverse of idx, will be used by scattering xx_seq -> X       */
1082     ierr = PetscMalloc2(nrhs*M,&idx,nrhs*M,&iidx);CHKERRQ(ierr);
1083     ierr = MatGetOwnershipRanges(B,&rstart);CHKERRQ(ierr);
1084     k = 0;
1085     for (proc=0; proc<mumps->size; proc++){
1086       for (j=0; j<nrhs; j++){
1087         for (i=rstart[proc]; i<rstart[proc+1]; i++){
1088           iidx[j*M + i] = k;
1089           idx[k++]      = j*M + i;
1090         }
1091       }
1092     }
1093 
1094     if (!mumps->myid) {
1095       ierr = VecCreateSeq(PETSC_COMM_SELF,nrhs*M,&b_seq);CHKERRQ(ierr);
1096       ierr = ISCreateGeneral(PETSC_COMM_SELF,nrhs*M,idx,PETSC_COPY_VALUES,&is_to);CHKERRQ(ierr);
1097       ierr = ISCreateStride(PETSC_COMM_SELF,nrhs*M,0,1,&is_from);CHKERRQ(ierr);
1098     } else {
1099       ierr = VecCreateSeq(PETSC_COMM_SELF,0,&b_seq);CHKERRQ(ierr);
1100       ierr = ISCreateStride(PETSC_COMM_SELF,0,0,1,&is_to);CHKERRQ(ierr);
1101       ierr = ISCreateStride(PETSC_COMM_SELF,0,0,1,&is_from);CHKERRQ(ierr);
1102     }
1103     ierr = VecScatterCreate(v_mpi,is_from,b_seq,is_to,&scat_rhs);CHKERRQ(ierr);
1104     ierr = VecScatterBegin(scat_rhs,v_mpi,b_seq,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1105     ierr = ISDestroy(&is_to);CHKERRQ(ierr);
1106     ierr = ISDestroy(&is_from);CHKERRQ(ierr);
1107     ierr = VecScatterEnd(scat_rhs,v_mpi,b_seq,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1108 
1109     if (!mumps->myid) { /* define rhs on the host */
1110       ierr = VecGetArray(b_seq,&bray);CHKERRQ(ierr);
1111       mumps->id.rhs = (MumpsScalar*)bray;
1112       ierr = VecRestoreArray(b_seq,&bray);CHKERRQ(ierr);
1113     }
1114 
1115     /* solve phase */
1116     /*-------------*/
1117     mumps->id.job = JOB_SOLVE;
1118     PetscMUMPS_c(&mumps->id);
1119     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));
1120 
1121     /* scatter mumps distributed solution to petsc vector v_mpi, which shares local arrays with solution matrix X */
1122     ierr = MatDenseGetArray(X,&array);CHKERRQ(ierr);
1123     ierr = VecPlaceArray(v_mpi,array);CHKERRQ(ierr);
1124 
1125     /* create scatter scat_sol */
1126     ierr = PetscMalloc1(nlsol_loc,&idxx);CHKERRQ(ierr);
1127     ierr = ISCreateStride(PETSC_COMM_SELF,nlsol_loc,0,1,&is_from);CHKERRQ(ierr);
1128     for (i=0; i<lsol_loc; i++) {
1129       isol_loc[i] -= 1; /* change Fortran style to C style */
1130       idxx[i] = iidx[isol_loc[i]];
1131       for (j=1; j<nrhs; j++){
1132         idxx[j*lsol_loc+i] = iidx[isol_loc[i]+j*M];
1133       }
1134     }
1135     ierr = ISCreateGeneral(PETSC_COMM_SELF,nlsol_loc,idxx,PETSC_COPY_VALUES,&is_to);CHKERRQ(ierr);
1136     ierr = VecScatterCreate(x_seq,is_from,v_mpi,is_to,&scat_sol);CHKERRQ(ierr);
1137     ierr = VecScatterBegin(scat_sol,x_seq,v_mpi,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1138     ierr = ISDestroy(&is_from);CHKERRQ(ierr);
1139     ierr = ISDestroy(&is_to);CHKERRQ(ierr);
1140     ierr = VecScatterEnd(scat_sol,x_seq,v_mpi,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1141     ierr = MatDenseRestoreArray(X,&array);CHKERRQ(ierr);
1142 
1143     /* free spaces */
1144     mumps->id.sol_loc = sol_loc_save;
1145     mumps->id.isol_loc = isol_loc_save;
1146 
1147     ierr = PetscFree2(sol_loc,isol_loc);CHKERRQ(ierr);
1148     ierr = PetscFree2(idx,iidx);CHKERRQ(ierr);
1149     ierr = PetscFree(idxx);CHKERRQ(ierr);
1150     ierr = VecDestroy(&x_seq);CHKERRQ(ierr);
1151     ierr = VecDestroy(&v_mpi);CHKERRQ(ierr);
1152     ierr = VecDestroy(&b_seq);CHKERRQ(ierr);
1153     ierr = VecScatterDestroy(&scat_rhs);CHKERRQ(ierr);
1154     ierr = VecScatterDestroy(&scat_sol);CHKERRQ(ierr);
1155   }
1156   PetscFunctionReturn(0);
1157 }
1158 
1159 #if !defined(PETSC_USE_COMPLEX)
1160 /*
1161   input:
1162    F:        numeric factor
1163   output:
1164    nneg:     total number of negative pivots
1165    nzero:    0
1166    npos:     (global dimension of F) - nneg
1167 */
1168 
1169 #undef __FUNCT__
1170 #define __FUNCT__ "MatGetInertia_SBAIJMUMPS"
1171 PetscErrorCode MatGetInertia_SBAIJMUMPS(Mat F,int *nneg,int *nzero,int *npos)
1172 {
1173   Mat_MUMPS      *mumps =(Mat_MUMPS*)F->spptr;
1174   PetscErrorCode ierr;
1175   PetscMPIInt    size;
1176 
1177   PetscFunctionBegin;
1178   ierr = MPI_Comm_size(PetscObjectComm((PetscObject)F),&size);CHKERRQ(ierr);
1179   /* 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 */
1180   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));
1181 
1182   if (nneg) *nneg = mumps->id.INFOG(12);
1183   if (nzero || npos) {
1184     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");
1185     if (nzero) *nzero = mumps->id.INFOG(28);
1186     if (npos) *npos   = F->rmap->N - (mumps->id.INFOG(12) + mumps->id.INFOG(28));
1187   }
1188   PetscFunctionReturn(0);
1189 }
1190 #endif /* !defined(PETSC_USE_COMPLEX) */
1191 
1192 #undef __FUNCT__
1193 #define __FUNCT__ "MatFactorNumeric_MUMPS"
1194 PetscErrorCode MatFactorNumeric_MUMPS(Mat F,Mat A,const MatFactorInfo *info)
1195 {
1196   Mat_MUMPS      *mumps =(Mat_MUMPS*)(F)->spptr;
1197   PetscErrorCode ierr;
1198   Mat            F_diag;
1199   PetscBool      isMPIAIJ;
1200 
1201   PetscFunctionBegin;
1202   if (mumps->id.INFOG(1) < 0) {
1203     if (mumps->id.INFOG(1) == -6) {
1204       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);
1205     }
1206     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);
1207     PetscFunctionReturn(0);
1208   }
1209 
1210   ierr = (*mumps->ConvertToTriples)(A, 1, MAT_REUSE_MATRIX, &mumps->nz, &mumps->irn, &mumps->jcn, &mumps->val);CHKERRQ(ierr);
1211 
1212   /* numerical factorization phase */
1213   /*-------------------------------*/
1214   mumps->id.job = JOB_FACTNUMERIC;
1215   if (!mumps->id.ICNTL(18)) { /* A is centralized */
1216     if (!mumps->myid) {
1217       mumps->id.a = (MumpsScalar*)mumps->val;
1218     }
1219   } else {
1220     mumps->id.a_loc = (MumpsScalar*)mumps->val;
1221   }
1222   PetscMUMPS_c(&mumps->id);
1223   if (mumps->id.INFOG(1) < 0) {
1224     if (A->erroriffailure) {
1225       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));
1226     } else {
1227       if (mumps->id.INFOG(1) == -10) { /* numerically singular matrix */
1228         ierr = PetscInfo2(F,"matrix is numerically singular, INFOG(1)=%d, INFO(2)=%d\n",mumps->id.INFOG(1),mumps->id.INFO(2));CHKERRQ(ierr);
1229         F->errortype = MAT_FACTOR_NUMERIC_ZEROPIVOT;
1230       } else if (mumps->id.INFOG(1) == -13) {
1231         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);
1232         F->errortype = MAT_FACTOR_OUTMEMORY;
1233       } else if (mumps->id.INFOG(1) == -8 || mumps->id.INFOG(1) == -9 || (-16 < mumps->id.INFOG(1) && mumps->id.INFOG(1) < -10) ) {
1234         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);
1235         F->errortype = MAT_FACTOR_OUTMEMORY;
1236       } else {
1237         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);
1238         F->errortype = MAT_FACTOR_OTHER;
1239       }
1240     }
1241   }
1242   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));
1243 
1244   (F)->assembled        = PETSC_TRUE;
1245   mumps->matstruc       = SAME_NONZERO_PATTERN;
1246   mumps->schur_factored = PETSC_FALSE;
1247   mumps->schur_inverted = PETSC_FALSE;
1248 
1249   /* just to be sure that ICNTL(19) value returned by a call from MatMumpsGetIcntl is always consistent */
1250   if (!mumps->sym && mumps->id.ICNTL(19) && mumps->id.ICNTL(19) != 1) mumps->id.ICNTL(19) = 3;
1251 
1252   if (mumps->size > 1) {
1253     PetscInt    lsol_loc;
1254     PetscScalar *sol_loc;
1255 
1256     ierr = PetscObjectTypeCompare((PetscObject)A,MATMPIAIJ,&isMPIAIJ);CHKERRQ(ierr);
1257     if (isMPIAIJ) F_diag = ((Mat_MPIAIJ*)(F)->data)->A;
1258     else F_diag = ((Mat_MPISBAIJ*)(F)->data)->A;
1259     F_diag->assembled = PETSC_TRUE;
1260 
1261     /* distributed solution; Create x_seq=sol_loc for repeated use */
1262     if (mumps->x_seq) {
1263       ierr = VecScatterDestroy(&mumps->scat_sol);CHKERRQ(ierr);
1264       ierr = PetscFree2(mumps->id.sol_loc,mumps->id.isol_loc);CHKERRQ(ierr);
1265       ierr = VecDestroy(&mumps->x_seq);CHKERRQ(ierr);
1266     }
1267     lsol_loc = mumps->id.INFO(23); /* length of sol_loc */
1268     ierr = PetscMalloc2(lsol_loc,&sol_loc,lsol_loc,&mumps->id.isol_loc);CHKERRQ(ierr);
1269     mumps->id.lsol_loc = lsol_loc;
1270     mumps->id.sol_loc = (MumpsScalar*)sol_loc;
1271     ierr = VecCreateSeqWithArray(PETSC_COMM_SELF,1,lsol_loc,sol_loc,&mumps->x_seq);CHKERRQ(ierr);
1272   }
1273   PetscFunctionReturn(0);
1274 }
1275 
1276 /* Sets MUMPS options from the options database */
1277 #undef __FUNCT__
1278 #define __FUNCT__ "PetscSetMUMPSFromOptions"
1279 PetscErrorCode PetscSetMUMPSFromOptions(Mat F, Mat A)
1280 {
1281   Mat_MUMPS      *mumps = (Mat_MUMPS*)F->spptr;
1282   PetscErrorCode ierr;
1283   PetscInt       icntl,info[40],i,ninfo=40;
1284   PetscBool      flg;
1285 
1286   PetscFunctionBegin;
1287   ierr = PetscOptionsBegin(PetscObjectComm((PetscObject)A),((PetscObject)A)->prefix,"MUMPS Options","Mat");CHKERRQ(ierr);
1288   ierr = PetscOptionsInt("-mat_mumps_icntl_1","ICNTL(1): output stream for error messages","None",mumps->id.ICNTL(1),&icntl,&flg);CHKERRQ(ierr);
1289   if (flg) mumps->id.ICNTL(1) = icntl;
1290   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);
1291   if (flg) mumps->id.ICNTL(2) = icntl;
1292   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);
1293   if (flg) mumps->id.ICNTL(3) = icntl;
1294 
1295   ierr = PetscOptionsInt("-mat_mumps_icntl_4","ICNTL(4): level of printing (0 to 4)","None",mumps->id.ICNTL(4),&icntl,&flg);CHKERRQ(ierr);
1296   if (flg) mumps->id.ICNTL(4) = icntl;
1297   if (mumps->id.ICNTL(4) || PetscLogPrintInfo) mumps->id.ICNTL(3) = 6; /* resume MUMPS default id.ICNTL(3) = 6 */
1298 
1299   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);
1300   if (flg) mumps->id.ICNTL(6) = icntl;
1301 
1302   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);
1303   if (flg) {
1304     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");
1305     else mumps->id.ICNTL(7) = icntl;
1306   }
1307 
1308   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);
1309   /* 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() */
1310   ierr = PetscOptionsInt("-mat_mumps_icntl_10","ICNTL(10): max num of refinements","None",mumps->id.ICNTL(10),&mumps->id.ICNTL(10),NULL);CHKERRQ(ierr);
1311   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);
1312   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);
1313   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);
1314   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);
1315   ierr = PetscOptionsInt("-mat_mumps_icntl_19","ICNTL(19): computes the Schur complement","None",mumps->id.ICNTL(19),&mumps->id.ICNTL(19),NULL);CHKERRQ(ierr);
1316   if (mumps->id.ICNTL(19) <= 0 || mumps->id.ICNTL(19) > 3) { /* reset any schur data (if any) */
1317     ierr = MatMumpsResetSchur_Private(mumps);CHKERRQ(ierr);
1318   }
1319   /* 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 */
1320   /* 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 */
1321 
1322   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);
1323   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);
1324   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);
1325   if (mumps->id.ICNTL(24)) {
1326     mumps->id.ICNTL(13) = 1; /* turn-off ScaLAPACK to help with the correct detection of null pivots */
1327   }
1328 
1329   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);
1330   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);
1331   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);
1332   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);
1333   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);
1334   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);
1335   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);
1336   /* 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 */
1337   ierr = PetscOptionsInt("-mat_mumps_icntl_33","ICNTL(33): compute determinant","None",mumps->id.ICNTL(33),&mumps->id.ICNTL(33),NULL);CHKERRQ(ierr);
1338 
1339   ierr = PetscOptionsReal("-mat_mumps_cntl_1","CNTL(1): relative pivoting threshold","None",mumps->id.CNTL(1),&mumps->id.CNTL(1),NULL);CHKERRQ(ierr);
1340   ierr = PetscOptionsReal("-mat_mumps_cntl_2","CNTL(2): stopping criterion of refinement","None",mumps->id.CNTL(2),&mumps->id.CNTL(2),NULL);CHKERRQ(ierr);
1341   ierr = PetscOptionsReal("-mat_mumps_cntl_3","CNTL(3): absolute pivoting threshold","None",mumps->id.CNTL(3),&mumps->id.CNTL(3),NULL);CHKERRQ(ierr);
1342   ierr = PetscOptionsReal("-mat_mumps_cntl_4","CNTL(4): value for static pivoting","None",mumps->id.CNTL(4),&mumps->id.CNTL(4),NULL);CHKERRQ(ierr);
1343   ierr = PetscOptionsReal("-mat_mumps_cntl_5","CNTL(5): fixation for null pivots","None",mumps->id.CNTL(5),&mumps->id.CNTL(5),NULL);CHKERRQ(ierr);
1344 
1345   ierr = PetscOptionsString("-mat_mumps_ooc_tmpdir", "out of core directory", "None", mumps->id.ooc_tmpdir, mumps->id.ooc_tmpdir, 256, NULL);
1346 
1347   ierr = PetscOptionsIntArray("-mat_mumps_view_info","request INFO local to each processor","",info,&ninfo,NULL);CHKERRQ(ierr);
1348   if (ninfo) {
1349     if (ninfo > 40) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_USER,"number of INFO %d must <= 40\n",ninfo);
1350     ierr = PetscMalloc1(ninfo,&mumps->info);CHKERRQ(ierr);
1351     mumps->ninfo = ninfo;
1352     for (i=0; i<ninfo; i++) {
1353       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);
1354       else {
1355         mumps->info[i] = info[i];
1356       }
1357     }
1358   }
1359 
1360   PetscOptionsEnd();
1361   PetscFunctionReturn(0);
1362 }
1363 
1364 #undef __FUNCT__
1365 #define __FUNCT__ "PetscInitializeMUMPS"
1366 PetscErrorCode PetscInitializeMUMPS(Mat A,Mat_MUMPS *mumps)
1367 {
1368   PetscErrorCode ierr;
1369 
1370   PetscFunctionBegin;
1371   ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)A), &mumps->myid);
1372   ierr = MPI_Comm_size(PetscObjectComm((PetscObject)A),&mumps->size);CHKERRQ(ierr);
1373   ierr = MPI_Comm_dup(PetscObjectComm((PetscObject)A),&(mumps->comm_mumps));CHKERRQ(ierr);
1374 
1375   mumps->id.comm_fortran = MPI_Comm_c2f(mumps->comm_mumps);
1376 
1377   mumps->id.job = JOB_INIT;
1378   mumps->id.par = 1;  /* host participates factorizaton and solve */
1379   mumps->id.sym = mumps->sym;
1380   PetscMUMPS_c(&mumps->id);
1381 
1382   mumps->scat_rhs     = NULL;
1383   mumps->scat_sol     = NULL;
1384 
1385   /* set PETSc-MUMPS default options - override MUMPS default */
1386   mumps->id.ICNTL(3) = 0;
1387   mumps->id.ICNTL(4) = 0;
1388   if (mumps->size == 1) {
1389     mumps->id.ICNTL(18) = 0;   /* centralized assembled matrix input */
1390   } else {
1391     mumps->id.ICNTL(18) = 3;   /* distributed assembled matrix input */
1392     mumps->id.ICNTL(20) = 0;   /* rhs is in dense format */
1393     mumps->id.ICNTL(21) = 1;   /* distributed solution */
1394   }
1395 
1396   /* schur */
1397   mumps->id.size_schur      = 0;
1398   mumps->id.listvar_schur   = NULL;
1399   mumps->id.schur           = NULL;
1400   mumps->sizeredrhs         = 0;
1401   mumps->schur_pivots       = NULL;
1402   mumps->schur_work         = NULL;
1403   mumps->schur_sol          = NULL;
1404   mumps->schur_sizesol      = 0;
1405   mumps->schur_factored     = PETSC_FALSE;
1406   mumps->schur_inverted     = PETSC_FALSE;
1407   PetscFunctionReturn(0);
1408 }
1409 
1410 #undef __FUNCT__
1411 #define __FUNCT__ "MatFactorSymbolic_MUMPS_ReportIfError"
1412 PetscErrorCode MatFactorSymbolic_MUMPS_ReportIfError(Mat F,Mat A,const MatFactorInfo *info,Mat_MUMPS *mumps)
1413 {
1414   PetscErrorCode ierr;
1415 
1416   PetscFunctionBegin;
1417   if (mumps->id.INFOG(1) < 0) {
1418     if (A->erroriffailure) {
1419       SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error reported by MUMPS in analysis phase: INFOG(1)=%d\n",mumps->id.INFOG(1));
1420     } else {
1421       if (mumps->id.INFOG(1) == -6) {
1422         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);
1423         F->errortype = MAT_FACTOR_STRUCT_ZEROPIVOT;
1424       } else if (mumps->id.INFOG(1) == -5 || mumps->id.INFOG(1) == -7) {
1425         ierr = PetscInfo2(F,"problem of workspace, INFOG(1)=%d, INFO(2)=%d\n",mumps->id.INFOG(1),mumps->id.INFO(2));CHKERRQ(ierr);
1426         F->errortype = MAT_FACTOR_OUTMEMORY;
1427       } else {
1428         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);
1429         F->errortype = MAT_FACTOR_OTHER;
1430       }
1431     }
1432   }
1433   PetscFunctionReturn(0);
1434 }
1435 
1436 /* Note Petsc r(=c) permutation is used when mumps->id.ICNTL(7)==1 with centralized assembled matrix input; otherwise r and c are ignored */
1437 #undef __FUNCT__
1438 #define __FUNCT__ "MatLUFactorSymbolic_AIJMUMPS"
1439 PetscErrorCode MatLUFactorSymbolic_AIJMUMPS(Mat F,Mat A,IS r,IS c,const MatFactorInfo *info)
1440 {
1441   Mat_MUMPS      *mumps = (Mat_MUMPS*)F->spptr;
1442   PetscErrorCode ierr;
1443   Vec            b;
1444   IS             is_iden;
1445   const PetscInt M = A->rmap->N;
1446 
1447   PetscFunctionBegin;
1448   mumps->matstruc = DIFFERENT_NONZERO_PATTERN;
1449 
1450   /* Set MUMPS options from the options database */
1451   ierr = PetscSetMUMPSFromOptions(F,A);CHKERRQ(ierr);
1452 
1453   ierr = (*mumps->ConvertToTriples)(A, 1, MAT_INITIAL_MATRIX, &mumps->nz, &mumps->irn, &mumps->jcn, &mumps->val);CHKERRQ(ierr);
1454 
1455   /* analysis phase */
1456   /*----------------*/
1457   mumps->id.job = JOB_FACTSYMBOLIC;
1458   mumps->id.n   = M;
1459   switch (mumps->id.ICNTL(18)) {
1460   case 0:  /* centralized assembled matrix input */
1461     if (!mumps->myid) {
1462       mumps->id.nz =mumps->nz; mumps->id.irn=mumps->irn; mumps->id.jcn=mumps->jcn;
1463       if (mumps->id.ICNTL(6)>1) {
1464         mumps->id.a = (MumpsScalar*)mumps->val;
1465       }
1466       if (mumps->id.ICNTL(7) == 1) { /* use user-provide matrix ordering - assuming r = c ordering */
1467         /*
1468         PetscBool      flag;
1469         ierr = ISEqual(r,c,&flag);CHKERRQ(ierr);
1470         if (!flag) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_USER,"row_perm != col_perm");
1471         ierr = ISView(r,PETSC_VIEWER_STDOUT_SELF);
1472          */
1473         if (!mumps->myid) {
1474           const PetscInt *idx;
1475           PetscInt       i,*perm_in;
1476 
1477           ierr = PetscMalloc1(M,&perm_in);CHKERRQ(ierr);
1478           ierr = ISGetIndices(r,&idx);CHKERRQ(ierr);
1479 
1480           mumps->id.perm_in = perm_in;
1481           for (i=0; i<M; i++) perm_in[i] = idx[i]+1; /* perm_in[]: start from 1, not 0! */
1482           ierr = ISRestoreIndices(r,&idx);CHKERRQ(ierr);
1483         }
1484       }
1485     }
1486     break;
1487   case 3:  /* distributed assembled matrix input (size>1) */
1488     mumps->id.nz_loc = mumps->nz;
1489     mumps->id.irn_loc=mumps->irn; mumps->id.jcn_loc=mumps->jcn;
1490     if (mumps->id.ICNTL(6)>1) {
1491       mumps->id.a_loc = (MumpsScalar*)mumps->val;
1492     }
1493     /* MUMPS only supports centralized rhs. Create scatter scat_rhs for repeated use in MatSolve() */
1494     if (!mumps->myid) {
1495       ierr = VecCreateSeq(PETSC_COMM_SELF,A->rmap->N,&mumps->b_seq);CHKERRQ(ierr);
1496       ierr = ISCreateStride(PETSC_COMM_SELF,A->rmap->N,0,1,&is_iden);CHKERRQ(ierr);
1497     } else {
1498       ierr = VecCreateSeq(PETSC_COMM_SELF,0,&mumps->b_seq);CHKERRQ(ierr);
1499       ierr = ISCreateStride(PETSC_COMM_SELF,0,0,1,&is_iden);CHKERRQ(ierr);
1500     }
1501     ierr = MatCreateVecs(A,NULL,&b);CHKERRQ(ierr);
1502     ierr = VecScatterCreate(b,is_iden,mumps->b_seq,is_iden,&mumps->scat_rhs);CHKERRQ(ierr);
1503     ierr = ISDestroy(&is_iden);CHKERRQ(ierr);
1504     ierr = VecDestroy(&b);CHKERRQ(ierr);
1505     break;
1506   }
1507   PetscMUMPS_c(&mumps->id);
1508   ierr = MatFactorSymbolic_MUMPS_ReportIfError(F,A,info,mumps);CHKERRQ(ierr);
1509 
1510   F->ops->lufactornumeric = MatFactorNumeric_MUMPS;
1511   F->ops->solve           = MatSolve_MUMPS;
1512   F->ops->solvetranspose  = MatSolveTranspose_MUMPS;
1513   F->ops->matsolve        = MatMatSolve_MUMPS;
1514   PetscFunctionReturn(0);
1515 }
1516 
1517 /* Note the Petsc r and c permutations are ignored */
1518 #undef __FUNCT__
1519 #define __FUNCT__ "MatLUFactorSymbolic_BAIJMUMPS"
1520 PetscErrorCode MatLUFactorSymbolic_BAIJMUMPS(Mat F,Mat A,IS r,IS c,const MatFactorInfo *info)
1521 {
1522   Mat_MUMPS      *mumps = (Mat_MUMPS*)F->spptr;
1523   PetscErrorCode ierr;
1524   Vec            b;
1525   IS             is_iden;
1526   const PetscInt M = A->rmap->N;
1527 
1528   PetscFunctionBegin;
1529   mumps->matstruc = DIFFERENT_NONZERO_PATTERN;
1530 
1531   /* Set MUMPS options from the options database */
1532   ierr = PetscSetMUMPSFromOptions(F,A);CHKERRQ(ierr);
1533 
1534   ierr = (*mumps->ConvertToTriples)(A, 1, MAT_INITIAL_MATRIX, &mumps->nz, &mumps->irn, &mumps->jcn, &mumps->val);CHKERRQ(ierr);
1535 
1536   /* analysis phase */
1537   /*----------------*/
1538   mumps->id.job = JOB_FACTSYMBOLIC;
1539   mumps->id.n   = M;
1540   switch (mumps->id.ICNTL(18)) {
1541   case 0:  /* centralized assembled matrix input */
1542     if (!mumps->myid) {
1543       mumps->id.nz =mumps->nz; mumps->id.irn=mumps->irn; mumps->id.jcn=mumps->jcn;
1544       if (mumps->id.ICNTL(6)>1) {
1545         mumps->id.a = (MumpsScalar*)mumps->val;
1546       }
1547     }
1548     break;
1549   case 3:  /* distributed assembled matrix input (size>1) */
1550     mumps->id.nz_loc = mumps->nz;
1551     mumps->id.irn_loc=mumps->irn; mumps->id.jcn_loc=mumps->jcn;
1552     if (mumps->id.ICNTL(6)>1) {
1553       mumps->id.a_loc = (MumpsScalar*)mumps->val;
1554     }
1555     /* MUMPS only supports centralized rhs. Create scatter scat_rhs for repeated use in MatSolve() */
1556     if (!mumps->myid) {
1557       ierr = VecCreateSeq(PETSC_COMM_SELF,A->cmap->N,&mumps->b_seq);CHKERRQ(ierr);
1558       ierr = ISCreateStride(PETSC_COMM_SELF,A->cmap->N,0,1,&is_iden);CHKERRQ(ierr);
1559     } else {
1560       ierr = VecCreateSeq(PETSC_COMM_SELF,0,&mumps->b_seq);CHKERRQ(ierr);
1561       ierr = ISCreateStride(PETSC_COMM_SELF,0,0,1,&is_iden);CHKERRQ(ierr);
1562     }
1563     ierr = MatCreateVecs(A,NULL,&b);CHKERRQ(ierr);
1564     ierr = VecScatterCreate(b,is_iden,mumps->b_seq,is_iden,&mumps->scat_rhs);CHKERRQ(ierr);
1565     ierr = ISDestroy(&is_iden);CHKERRQ(ierr);
1566     ierr = VecDestroy(&b);CHKERRQ(ierr);
1567     break;
1568   }
1569   PetscMUMPS_c(&mumps->id);
1570   ierr = MatFactorSymbolic_MUMPS_ReportIfError(F,A,info,mumps);CHKERRQ(ierr);
1571 
1572   F->ops->lufactornumeric = MatFactorNumeric_MUMPS;
1573   F->ops->solve           = MatSolve_MUMPS;
1574   F->ops->solvetranspose  = MatSolveTranspose_MUMPS;
1575   PetscFunctionReturn(0);
1576 }
1577 
1578 /* Note the Petsc r permutation and factor info are ignored */
1579 #undef __FUNCT__
1580 #define __FUNCT__ "MatCholeskyFactorSymbolic_MUMPS"
1581 PetscErrorCode MatCholeskyFactorSymbolic_MUMPS(Mat F,Mat A,IS r,const MatFactorInfo *info)
1582 {
1583   Mat_MUMPS      *mumps = (Mat_MUMPS*)F->spptr;
1584   PetscErrorCode ierr;
1585   Vec            b;
1586   IS             is_iden;
1587   const PetscInt M = A->rmap->N;
1588 
1589   PetscFunctionBegin;
1590   mumps->matstruc = DIFFERENT_NONZERO_PATTERN;
1591 
1592   /* Set MUMPS options from the options database */
1593   ierr = PetscSetMUMPSFromOptions(F,A);CHKERRQ(ierr);
1594 
1595   ierr = (*mumps->ConvertToTriples)(A, 1, MAT_INITIAL_MATRIX, &mumps->nz, &mumps->irn, &mumps->jcn, &mumps->val);CHKERRQ(ierr);
1596 
1597   /* analysis phase */
1598   /*----------------*/
1599   mumps->id.job = JOB_FACTSYMBOLIC;
1600   mumps->id.n   = M;
1601   switch (mumps->id.ICNTL(18)) {
1602   case 0:  /* centralized assembled matrix input */
1603     if (!mumps->myid) {
1604       mumps->id.nz =mumps->nz; mumps->id.irn=mumps->irn; mumps->id.jcn=mumps->jcn;
1605       if (mumps->id.ICNTL(6)>1) {
1606         mumps->id.a = (MumpsScalar*)mumps->val;
1607       }
1608     }
1609     break;
1610   case 3:  /* distributed assembled matrix input (size>1) */
1611     mumps->id.nz_loc = mumps->nz;
1612     mumps->id.irn_loc=mumps->irn; mumps->id.jcn_loc=mumps->jcn;
1613     if (mumps->id.ICNTL(6)>1) {
1614       mumps->id.a_loc = (MumpsScalar*)mumps->val;
1615     }
1616     /* MUMPS only supports centralized rhs. Create scatter scat_rhs for repeated use in MatSolve() */
1617     if (!mumps->myid) {
1618       ierr = VecCreateSeq(PETSC_COMM_SELF,A->cmap->N,&mumps->b_seq);CHKERRQ(ierr);
1619       ierr = ISCreateStride(PETSC_COMM_SELF,A->cmap->N,0,1,&is_iden);CHKERRQ(ierr);
1620     } else {
1621       ierr = VecCreateSeq(PETSC_COMM_SELF,0,&mumps->b_seq);CHKERRQ(ierr);
1622       ierr = ISCreateStride(PETSC_COMM_SELF,0,0,1,&is_iden);CHKERRQ(ierr);
1623     }
1624     ierr = MatCreateVecs(A,NULL,&b);CHKERRQ(ierr);
1625     ierr = VecScatterCreate(b,is_iden,mumps->b_seq,is_iden,&mumps->scat_rhs);CHKERRQ(ierr);
1626     ierr = ISDestroy(&is_iden);CHKERRQ(ierr);
1627     ierr = VecDestroy(&b);CHKERRQ(ierr);
1628     break;
1629   }
1630   PetscMUMPS_c(&mumps->id);
1631   ierr = MatFactorSymbolic_MUMPS_ReportIfError(F,A,info,mumps);CHKERRQ(ierr);
1632 
1633 
1634   F->ops->choleskyfactornumeric = MatFactorNumeric_MUMPS;
1635   F->ops->solve                 = MatSolve_MUMPS;
1636   F->ops->solvetranspose        = MatSolve_MUMPS;
1637   F->ops->matsolve              = MatMatSolve_MUMPS;
1638 #if defined(PETSC_USE_COMPLEX)
1639   F->ops->getinertia = NULL;
1640 #else
1641   F->ops->getinertia = MatGetInertia_SBAIJMUMPS;
1642 #endif
1643   PetscFunctionReturn(0);
1644 }
1645 
1646 #undef __FUNCT__
1647 #define __FUNCT__ "MatView_MUMPS"
1648 PetscErrorCode MatView_MUMPS(Mat A,PetscViewer viewer)
1649 {
1650   PetscErrorCode    ierr;
1651   PetscBool         iascii;
1652   PetscViewerFormat format;
1653   Mat_MUMPS         *mumps=(Mat_MUMPS*)A->spptr;
1654 
1655   PetscFunctionBegin;
1656   /* check if matrix is mumps type */
1657   if (A->ops->solve != MatSolve_MUMPS) PetscFunctionReturn(0);
1658 
1659   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&iascii);CHKERRQ(ierr);
1660   if (iascii) {
1661     ierr = PetscViewerGetFormat(viewer,&format);CHKERRQ(ierr);
1662     if (format == PETSC_VIEWER_ASCII_INFO) {
1663       ierr = PetscViewerASCIIPrintf(viewer,"MUMPS run parameters:\n");CHKERRQ(ierr);
1664       ierr = PetscViewerASCIIPrintf(viewer,"  SYM (matrix type):                   %d \n",mumps->id.sym);CHKERRQ(ierr);
1665       ierr = PetscViewerASCIIPrintf(viewer,"  PAR (host participation):            %d \n",mumps->id.par);CHKERRQ(ierr);
1666       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(1) (output for error):         %d \n",mumps->id.ICNTL(1));CHKERRQ(ierr);
1667       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(2) (output of diagnostic msg): %d \n",mumps->id.ICNTL(2));CHKERRQ(ierr);
1668       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(3) (output for global info):   %d \n",mumps->id.ICNTL(3));CHKERRQ(ierr);
1669       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(4) (level of printing):        %d \n",mumps->id.ICNTL(4));CHKERRQ(ierr);
1670       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(5) (input mat struct):         %d \n",mumps->id.ICNTL(5));CHKERRQ(ierr);
1671       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(6) (matrix prescaling):        %d \n",mumps->id.ICNTL(6));CHKERRQ(ierr);
1672       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(7) (sequential matrix ordering):%d \n",mumps->id.ICNTL(7));CHKERRQ(ierr);
1673       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(8) (scaling strategy):        %d \n",mumps->id.ICNTL(8));CHKERRQ(ierr);
1674       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(10) (max num of refinements):  %d \n",mumps->id.ICNTL(10));CHKERRQ(ierr);
1675       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(11) (error analysis):          %d \n",mumps->id.ICNTL(11));CHKERRQ(ierr);
1676       if (mumps->id.ICNTL(11)>0) {
1677         ierr = PetscViewerASCIIPrintf(viewer,"    RINFOG(4) (inf norm of input mat):        %g\n",mumps->id.RINFOG(4));CHKERRQ(ierr);
1678         ierr = PetscViewerASCIIPrintf(viewer,"    RINFOG(5) (inf norm of solution):         %g\n",mumps->id.RINFOG(5));CHKERRQ(ierr);
1679         ierr = PetscViewerASCIIPrintf(viewer,"    RINFOG(6) (inf norm of residual):         %g\n",mumps->id.RINFOG(6));CHKERRQ(ierr);
1680         ierr = PetscViewerASCIIPrintf(viewer,"    RINFOG(7),RINFOG(8) (backward error est): %g, %g\n",mumps->id.RINFOG(7),mumps->id.RINFOG(8));CHKERRQ(ierr);
1681         ierr = PetscViewerASCIIPrintf(viewer,"    RINFOG(9) (error estimate):               %g \n",mumps->id.RINFOG(9));CHKERRQ(ierr);
1682         ierr = PetscViewerASCIIPrintf(viewer,"    RINFOG(10),RINFOG(11)(condition numbers): %g, %g\n",mumps->id.RINFOG(10),mumps->id.RINFOG(11));CHKERRQ(ierr);
1683       }
1684       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(12) (efficiency control):                         %d \n",mumps->id.ICNTL(12));CHKERRQ(ierr);
1685       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(13) (efficiency control):                         %d \n",mumps->id.ICNTL(13));CHKERRQ(ierr);
1686       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(14) (percentage of estimated workspace increase): %d \n",mumps->id.ICNTL(14));CHKERRQ(ierr);
1687       /* ICNTL(15-17) not used */
1688       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(18) (input mat struct):                           %d \n",mumps->id.ICNTL(18));CHKERRQ(ierr);
1689       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(19) (Schur complement info):                       %d \n",mumps->id.ICNTL(19));CHKERRQ(ierr);
1690       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(20) (rhs sparse pattern):                         %d \n",mumps->id.ICNTL(20));CHKERRQ(ierr);
1691       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(21) (solution struct):                            %d \n",mumps->id.ICNTL(21));CHKERRQ(ierr);
1692       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(22) (in-core/out-of-core facility):               %d \n",mumps->id.ICNTL(22));CHKERRQ(ierr);
1693       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(23) (max size of memory can be allocated locally):%d \n",mumps->id.ICNTL(23));CHKERRQ(ierr);
1694 
1695       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(24) (detection of null pivot rows):               %d \n",mumps->id.ICNTL(24));CHKERRQ(ierr);
1696       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(25) (computation of a null space basis):          %d \n",mumps->id.ICNTL(25));CHKERRQ(ierr);
1697       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(26) (Schur options for rhs or solution):          %d \n",mumps->id.ICNTL(26));CHKERRQ(ierr);
1698       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(27) (experimental parameter):                     %d \n",mumps->id.ICNTL(27));CHKERRQ(ierr);
1699       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(28) (use parallel or sequential ordering):        %d \n",mumps->id.ICNTL(28));CHKERRQ(ierr);
1700       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(29) (parallel ordering):                          %d \n",mumps->id.ICNTL(29));CHKERRQ(ierr);
1701 
1702       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(30) (user-specified set of entries in inv(A)):    %d \n",mumps->id.ICNTL(30));CHKERRQ(ierr);
1703       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(31) (factors is discarded in the solve phase):    %d \n",mumps->id.ICNTL(31));CHKERRQ(ierr);
1704       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(33) (compute determinant):                        %d \n",mumps->id.ICNTL(33));CHKERRQ(ierr);
1705 
1706       ierr = PetscViewerASCIIPrintf(viewer,"  CNTL(1) (relative pivoting threshold):      %g \n",mumps->id.CNTL(1));CHKERRQ(ierr);
1707       ierr = PetscViewerASCIIPrintf(viewer,"  CNTL(2) (stopping criterion of refinement): %g \n",mumps->id.CNTL(2));CHKERRQ(ierr);
1708       ierr = PetscViewerASCIIPrintf(viewer,"  CNTL(3) (absolute pivoting threshold):      %g \n",mumps->id.CNTL(3));CHKERRQ(ierr);
1709       ierr = PetscViewerASCIIPrintf(viewer,"  CNTL(4) (value of static pivoting):         %g \n",mumps->id.CNTL(4));CHKERRQ(ierr);
1710       ierr = PetscViewerASCIIPrintf(viewer,"  CNTL(5) (fixation for null pivots):         %g \n",mumps->id.CNTL(5));CHKERRQ(ierr);
1711 
1712       /* infomation local to each processor */
1713       ierr = PetscViewerASCIIPrintf(viewer, "  RINFO(1) (local estimated flops for the elimination after analysis): \n");CHKERRQ(ierr);
1714       ierr = PetscViewerASCIIPushSynchronized(viewer);CHKERRQ(ierr);
1715       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"    [%d] %g \n",mumps->myid,mumps->id.RINFO(1));CHKERRQ(ierr);
1716       ierr = PetscViewerFlush(viewer);
1717       ierr = PetscViewerASCIIPrintf(viewer, "  RINFO(2) (local estimated flops for the assembly after factorization): \n");CHKERRQ(ierr);
1718       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"    [%d]  %g \n",mumps->myid,mumps->id.RINFO(2));CHKERRQ(ierr);
1719       ierr = PetscViewerFlush(viewer);
1720       ierr = PetscViewerASCIIPrintf(viewer, "  RINFO(3) (local estimated flops for the elimination after factorization): \n");CHKERRQ(ierr);
1721       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"    [%d]  %g \n",mumps->myid,mumps->id.RINFO(3));CHKERRQ(ierr);
1722       ierr = PetscViewerFlush(viewer);
1723 
1724       ierr = PetscViewerASCIIPrintf(viewer, "  INFO(15) (estimated size of (in MB) MUMPS internal data for running numerical factorization): \n");CHKERRQ(ierr);
1725       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"  [%d] %d \n",mumps->myid,mumps->id.INFO(15));CHKERRQ(ierr);
1726       ierr = PetscViewerFlush(viewer);
1727 
1728       ierr = PetscViewerASCIIPrintf(viewer, "  INFO(16) (size of (in MB) MUMPS internal data used during numerical factorization): \n");CHKERRQ(ierr);
1729       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"    [%d] %d \n",mumps->myid,mumps->id.INFO(16));CHKERRQ(ierr);
1730       ierr = PetscViewerFlush(viewer);
1731 
1732       ierr = PetscViewerASCIIPrintf(viewer, "  INFO(23) (num of pivots eliminated on this processor after factorization): \n");CHKERRQ(ierr);
1733       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"    [%d] %d \n",mumps->myid,mumps->id.INFO(23));CHKERRQ(ierr);
1734       ierr = PetscViewerFlush(viewer);
1735 
1736       if (mumps->ninfo && mumps->ninfo <= 40){
1737         PetscInt i;
1738         for (i=0; i<mumps->ninfo; i++){
1739           ierr = PetscViewerASCIIPrintf(viewer, "  INFO(%d): \n",mumps->info[i]);CHKERRQ(ierr);
1740           ierr = PetscViewerASCIISynchronizedPrintf(viewer,"    [%d] %d \n",mumps->myid,mumps->id.INFO(mumps->info[i]));CHKERRQ(ierr);
1741           ierr = PetscViewerFlush(viewer);
1742         }
1743       }
1744 
1745 
1746       ierr = PetscViewerASCIIPopSynchronized(viewer);CHKERRQ(ierr);
1747 
1748       if (!mumps->myid) { /* information from the host */
1749         ierr = PetscViewerASCIIPrintf(viewer,"  RINFOG(1) (global estimated flops for the elimination after analysis): %g \n",mumps->id.RINFOG(1));CHKERRQ(ierr);
1750         ierr = PetscViewerASCIIPrintf(viewer,"  RINFOG(2) (global estimated flops for the assembly after factorization): %g \n",mumps->id.RINFOG(2));CHKERRQ(ierr);
1751         ierr = PetscViewerASCIIPrintf(viewer,"  RINFOG(3) (global estimated flops for the elimination after factorization): %g \n",mumps->id.RINFOG(3));CHKERRQ(ierr);
1752         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);
1753 
1754         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(3) (estimated real workspace for factors on all processors after analysis): %d \n",mumps->id.INFOG(3));CHKERRQ(ierr);
1755         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(4) (estimated integer workspace for factors on all processors after analysis): %d \n",mumps->id.INFOG(4));CHKERRQ(ierr);
1756         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(5) (estimated maximum front size in the complete tree): %d \n",mumps->id.INFOG(5));CHKERRQ(ierr);
1757         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(6) (number of nodes in the complete tree): %d \n",mumps->id.INFOG(6));CHKERRQ(ierr);
1758         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(7) (ordering option effectively use after analysis): %d \n",mumps->id.INFOG(7));CHKERRQ(ierr);
1759         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(8) (structural symmetry in percent of the permuted matrix after analysis): %d \n",mumps->id.INFOG(8));CHKERRQ(ierr);
1760         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(9) (total real/complex workspace to store the matrix factors after factorization): %d \n",mumps->id.INFOG(9));CHKERRQ(ierr);
1761         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(10) (total integer space store the matrix factors after factorization): %d \n",mumps->id.INFOG(10));CHKERRQ(ierr);
1762         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(11) (order of largest frontal matrix after factorization): %d \n",mumps->id.INFOG(11));CHKERRQ(ierr);
1763         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(12) (number of off-diagonal pivots): %d \n",mumps->id.INFOG(12));CHKERRQ(ierr);
1764         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(13) (number of delayed pivots after factorization): %d \n",mumps->id.INFOG(13));CHKERRQ(ierr);
1765         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(14) (number of memory compress after factorization): %d \n",mumps->id.INFOG(14));CHKERRQ(ierr);
1766         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(15) (number of steps of iterative refinement after solution): %d \n",mumps->id.INFOG(15));CHKERRQ(ierr);
1767         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);
1768         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);
1769         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);
1770         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);
1771         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(20) (estimated number of entries in the factors): %d \n",mumps->id.INFOG(20));CHKERRQ(ierr);
1772         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);
1773         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);
1774         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(23) (after analysis: value of ICNTL(6) effectively used): %d \n",mumps->id.INFOG(23));CHKERRQ(ierr);
1775         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(24) (after analysis: value of ICNTL(12) effectively used): %d \n",mumps->id.INFOG(24));CHKERRQ(ierr);
1776         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(25) (after factorization: number of pivots modified by static pivoting): %d \n",mumps->id.INFOG(25));CHKERRQ(ierr);
1777         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(28) (after factorization: number of null pivots encountered): %d\n",mumps->id.INFOG(28));CHKERRQ(ierr);
1778         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);
1779         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);
1780         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(32) (after analysis: type of analysis done): %d\n",mumps->id.INFOG(32));CHKERRQ(ierr);
1781         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(33) (value used for ICNTL(8)): %d\n",mumps->id.INFOG(33));CHKERRQ(ierr);
1782         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(34) (exponent of the determinant if determinant is requested): %d\n",mumps->id.INFOG(34));CHKERRQ(ierr);
1783       }
1784     }
1785   }
1786   PetscFunctionReturn(0);
1787 }
1788 
1789 #undef __FUNCT__
1790 #define __FUNCT__ "MatGetInfo_MUMPS"
1791 PetscErrorCode MatGetInfo_MUMPS(Mat A,MatInfoType flag,MatInfo *info)
1792 {
1793   Mat_MUMPS *mumps =(Mat_MUMPS*)A->spptr;
1794 
1795   PetscFunctionBegin;
1796   info->block_size        = 1.0;
1797   info->nz_allocated      = mumps->id.INFOG(20);
1798   info->nz_used           = mumps->id.INFOG(20);
1799   info->nz_unneeded       = 0.0;
1800   info->assemblies        = 0.0;
1801   info->mallocs           = 0.0;
1802   info->memory            = 0.0;
1803   info->fill_ratio_given  = 0;
1804   info->fill_ratio_needed = 0;
1805   info->factor_mallocs    = 0;
1806   PetscFunctionReturn(0);
1807 }
1808 
1809 /* -------------------------------------------------------------------------------------------*/
1810 #undef __FUNCT__
1811 #define __FUNCT__ "MatFactorSetSchurIS_MUMPS"
1812 PetscErrorCode MatFactorSetSchurIS_MUMPS(Mat F, IS is)
1813 {
1814   Mat_MUMPS      *mumps =(Mat_MUMPS*)F->spptr;
1815   const PetscInt *idxs;
1816   PetscInt       size,i;
1817   PetscErrorCode ierr;
1818 
1819   PetscFunctionBegin;
1820   if (mumps->size > 1) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"MUMPS parallel Schur complements not yet supported from PETSc\n");
1821   ierr = ISGetLocalSize(is,&size);CHKERRQ(ierr);
1822   if (mumps->id.size_schur != size) {
1823     ierr = PetscFree2(mumps->id.listvar_schur,mumps->id.schur);CHKERRQ(ierr);
1824     mumps->id.size_schur = size;
1825     mumps->id.schur_lld = size;
1826     ierr = PetscMalloc2(size,&mumps->id.listvar_schur,size*size,&mumps->id.schur);CHKERRQ(ierr);
1827   }
1828   ierr = ISGetIndices(is,&idxs);CHKERRQ(ierr);
1829   ierr = PetscMemcpy(mumps->id.listvar_schur,idxs,size*sizeof(PetscInt));CHKERRQ(ierr);
1830   /* MUMPS expects Fortran style indices */
1831   for (i=0;i<size;i++) mumps->id.listvar_schur[i]++;
1832   ierr = ISRestoreIndices(is,&idxs);CHKERRQ(ierr);
1833   if (size) { /* turn on Schur switch if we the set of indices is not empty */
1834     if (F->factortype == MAT_FACTOR_LU) {
1835       mumps->id.ICNTL(19) = 3; /* MUMPS returns full matrix */
1836     } else {
1837       mumps->id.ICNTL(19) = 2; /* MUMPS returns lower triangular part */
1838     }
1839     /* set a special value of ICNTL (not handled my MUMPS) to be used in the solve phase by PETSc */
1840     mumps->id.ICNTL(26) = -1;
1841   }
1842   PetscFunctionReturn(0);
1843 }
1844 
1845 /* -------------------------------------------------------------------------------------------*/
1846 #undef __FUNCT__
1847 #define __FUNCT__ "MatFactorCreateSchurComplement_MUMPS"
1848 PetscErrorCode MatFactorCreateSchurComplement_MUMPS(Mat F,Mat* S)
1849 {
1850   Mat            St;
1851   Mat_MUMPS      *mumps =(Mat_MUMPS*)F->spptr;
1852   PetscScalar    *array;
1853 #if defined(PETSC_USE_COMPLEX)
1854   PetscScalar    im = PetscSqrtScalar((PetscScalar)-1.0);
1855 #endif
1856   PetscErrorCode ierr;
1857 
1858   PetscFunctionBegin;
1859   if (!mumps->id.ICNTL(19)) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur complement mode not selected! You should call MatFactorSetSchurIS to enable it");
1860   else if (!mumps->id.size_schur) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur indices not set! You should call MatFactorSetSchurIS before");
1861 
1862   ierr = MatCreate(PetscObjectComm((PetscObject)F),&St);CHKERRQ(ierr);
1863   ierr = MatSetSizes(St,PETSC_DECIDE,PETSC_DECIDE,mumps->id.size_schur,mumps->id.size_schur);CHKERRQ(ierr);
1864   ierr = MatSetType(St,MATDENSE);CHKERRQ(ierr);
1865   ierr = MatSetUp(St);CHKERRQ(ierr);
1866   ierr = MatDenseGetArray(St,&array);CHKERRQ(ierr);
1867   if (!mumps->sym) { /* MUMPS always return a full matrix */
1868     if (mumps->id.ICNTL(19) == 1) { /* stored by rows */
1869       PetscInt i,j,N=mumps->id.size_schur;
1870       for (i=0;i<N;i++) {
1871         for (j=0;j<N;j++) {
1872 #if !defined(PETSC_USE_COMPLEX)
1873           PetscScalar val = mumps->id.schur[i*N+j];
1874 #else
1875           PetscScalar val = mumps->id.schur[i*N+j].r + im*mumps->id.schur[i*N+j].i;
1876 #endif
1877           array[j*N+i] = val;
1878         }
1879       }
1880     } else { /* stored by columns */
1881       ierr = PetscMemcpy(array,mumps->id.schur,mumps->id.size_schur*mumps->id.size_schur*sizeof(PetscScalar));CHKERRQ(ierr);
1882     }
1883   } else { /* either full or lower-triangular (not packed) */
1884     if (mumps->id.ICNTL(19) == 2) { /* lower triangular stored by columns */
1885       PetscInt i,j,N=mumps->id.size_schur;
1886       for (i=0;i<N;i++) {
1887         for (j=i;j<N;j++) {
1888 #if !defined(PETSC_USE_COMPLEX)
1889           PetscScalar val = mumps->id.schur[i*N+j];
1890 #else
1891           PetscScalar val = mumps->id.schur[i*N+j].r + im*mumps->id.schur[i*N+j].i;
1892 #endif
1893           array[i*N+j] = val;
1894           array[j*N+i] = val;
1895         }
1896       }
1897     } else if (mumps->id.ICNTL(19) == 3) { /* full matrix */
1898       ierr = PetscMemcpy(array,mumps->id.schur,mumps->id.size_schur*mumps->id.size_schur*sizeof(PetscScalar));CHKERRQ(ierr);
1899     } else { /* ICNTL(19) == 1 lower triangular stored by rows */
1900       PetscInt i,j,N=mumps->id.size_schur;
1901       for (i=0;i<N;i++) {
1902         for (j=0;j<i+1;j++) {
1903 #if !defined(PETSC_USE_COMPLEX)
1904           PetscScalar val = mumps->id.schur[i*N+j];
1905 #else
1906           PetscScalar val = mumps->id.schur[i*N+j].r + im*mumps->id.schur[i*N+j].i;
1907 #endif
1908           array[i*N+j] = val;
1909           array[j*N+i] = val;
1910         }
1911       }
1912     }
1913   }
1914   ierr = MatDenseRestoreArray(St,&array);CHKERRQ(ierr);
1915   *S = St;
1916   PetscFunctionReturn(0);
1917 }
1918 
1919 /* -------------------------------------------------------------------------------------------*/
1920 #undef __FUNCT__
1921 #define __FUNCT__ "MatFactorGetSchurComplement_MUMPS"
1922 PetscErrorCode MatFactorGetSchurComplement_MUMPS(Mat F,Mat* S)
1923 {
1924   Mat            St;
1925   Mat_MUMPS      *mumps =(Mat_MUMPS*)F->spptr;
1926   PetscErrorCode ierr;
1927 
1928   PetscFunctionBegin;
1929   if (!mumps->id.ICNTL(19)) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur complement mode not selected! You should call MatFactorSetSchurIS to enable it");
1930   else if (!mumps->id.size_schur) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur indices not set! You should call MatFactorSetSchurIS before");
1931 
1932   /* 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 */
1933   ierr = MatCreateSeqDense(PetscObjectComm((PetscObject)F),mumps->id.size_schur,mumps->id.size_schur,(PetscScalar*)mumps->id.schur,&St);CHKERRQ(ierr);
1934   *S = St;
1935   PetscFunctionReturn(0);
1936 }
1937 
1938 /* -------------------------------------------------------------------------------------------*/
1939 #undef __FUNCT__
1940 #define __FUNCT__ "MatFactorInvertSchurComplement_MUMPS"
1941 PetscErrorCode MatFactorInvertSchurComplement_MUMPS(Mat F)
1942 {
1943   Mat_MUMPS      *mumps =(Mat_MUMPS*)F->spptr;
1944   PetscErrorCode ierr;
1945 
1946   PetscFunctionBegin;
1947   if (!mumps->id.ICNTL(19)) { /* do nothing */
1948     PetscFunctionReturn(0);
1949   }
1950   if (!mumps->id.size_schur) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur indices not set! You should call MatFactorSetSchurIS before");
1951   ierr = MatMumpsInvertSchur_Private(mumps);CHKERRQ(ierr);
1952   PetscFunctionReturn(0);
1953 }
1954 
1955 /* -------------------------------------------------------------------------------------------*/
1956 #undef __FUNCT__
1957 #define __FUNCT__ "MatFactorSolveSchurComplement_MUMPS"
1958 PetscErrorCode MatFactorSolveSchurComplement_MUMPS(Mat F, Vec rhs, Vec sol)
1959 {
1960   Mat_MUMPS      *mumps =(Mat_MUMPS*)F->spptr;
1961   MumpsScalar    *orhs;
1962   PetscScalar    *osol,*nrhs,*nsol;
1963   PetscInt       orhs_size,osol_size,olrhs_size;
1964   PetscErrorCode ierr;
1965 
1966   PetscFunctionBegin;
1967   if (!mumps->id.ICNTL(19)) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur complement mode not selected! You should call MatFactorSetSchurIS to enable it");
1968   if (!mumps->id.size_schur) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur indices not set! You should call MatFactorSetSchurIS before");
1969 
1970   /* swap pointers */
1971   orhs = mumps->id.redrhs;
1972   olrhs_size = mumps->id.lredrhs;
1973   orhs_size = mumps->sizeredrhs;
1974   osol = mumps->schur_sol;
1975   osol_size = mumps->schur_sizesol;
1976   ierr = VecGetArray(rhs,&nrhs);CHKERRQ(ierr);
1977   ierr = VecGetArray(sol,&nsol);CHKERRQ(ierr);
1978   mumps->id.redrhs = (MumpsScalar*)nrhs;
1979   ierr = VecGetLocalSize(rhs,&mumps->sizeredrhs);CHKERRQ(ierr);
1980   mumps->id.lredrhs = mumps->sizeredrhs;
1981   mumps->schur_sol = nsol;
1982   ierr = VecGetLocalSize(sol,&mumps->schur_sizesol);CHKERRQ(ierr);
1983 
1984   /* solve Schur complement */
1985   mumps->id.nrhs = 1;
1986   ierr = MatMumpsSolveSchur_Private(mumps,PETSC_FALSE);CHKERRQ(ierr);
1987   /* restore pointers */
1988   ierr = VecRestoreArray(rhs,&nrhs);CHKERRQ(ierr);
1989   ierr = VecRestoreArray(sol,&nsol);CHKERRQ(ierr);
1990   mumps->id.redrhs = orhs;
1991   mumps->id.lredrhs = olrhs_size;
1992   mumps->sizeredrhs = orhs_size;
1993   mumps->schur_sol = osol;
1994   mumps->schur_sizesol = osol_size;
1995   PetscFunctionReturn(0);
1996 }
1997 
1998 /* -------------------------------------------------------------------------------------------*/
1999 #undef __FUNCT__
2000 #define __FUNCT__ "MatFactorSolveSchurComplementTranspose_MUMPS"
2001 PetscErrorCode MatFactorSolveSchurComplementTranspose_MUMPS(Mat F, Vec rhs, Vec sol)
2002 {
2003   Mat_MUMPS      *mumps =(Mat_MUMPS*)F->spptr;
2004   MumpsScalar    *orhs;
2005   PetscScalar    *osol,*nrhs,*nsol;
2006   PetscInt       orhs_size,osol_size;
2007   PetscErrorCode ierr;
2008 
2009   PetscFunctionBegin;
2010   if (!mumps->id.ICNTL(19)) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur complement mode not selected! You should call MatFactorSetSchurIS to enable it");
2011   else if (!mumps->id.size_schur) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur indices not set! You should call MatFactorSetSchurIS before");
2012 
2013   /* swap pointers */
2014   orhs = mumps->id.redrhs;
2015   orhs_size = mumps->sizeredrhs;
2016   osol = mumps->schur_sol;
2017   osol_size = mumps->schur_sizesol;
2018   ierr = VecGetArray(rhs,&nrhs);CHKERRQ(ierr);
2019   ierr = VecGetArray(sol,&nsol);CHKERRQ(ierr);
2020   mumps->id.redrhs = (MumpsScalar*)nrhs;
2021   ierr = VecGetLocalSize(rhs,&mumps->sizeredrhs);CHKERRQ(ierr);
2022   mumps->schur_sol = nsol;
2023   ierr = VecGetLocalSize(sol,&mumps->schur_sizesol);CHKERRQ(ierr);
2024 
2025   /* solve Schur complement */
2026   mumps->id.nrhs = 1;
2027   mumps->id.ICNTL(9) = 0;
2028   ierr = MatMumpsSolveSchur_Private(mumps,PETSC_FALSE);CHKERRQ(ierr);
2029   mumps->id.ICNTL(9) = 1;
2030   /* restore pointers */
2031   ierr = VecRestoreArray(rhs,&nrhs);CHKERRQ(ierr);
2032   ierr = VecRestoreArray(sol,&nsol);CHKERRQ(ierr);
2033   mumps->id.redrhs = orhs;
2034   mumps->sizeredrhs = orhs_size;
2035   mumps->schur_sol = osol;
2036   mumps->schur_sizesol = osol_size;
2037   PetscFunctionReturn(0);
2038 }
2039 
2040 /* -------------------------------------------------------------------------------------------*/
2041 #undef __FUNCT__
2042 #define __FUNCT__ "MatMumpsSetIcntl_MUMPS"
2043 PetscErrorCode MatMumpsSetIcntl_MUMPS(Mat F,PetscInt icntl,PetscInt ival)
2044 {
2045   Mat_MUMPS *mumps =(Mat_MUMPS*)F->spptr;
2046 
2047   PetscFunctionBegin;
2048   mumps->id.ICNTL(icntl) = ival;
2049   PetscFunctionReturn(0);
2050 }
2051 
2052 #undef __FUNCT__
2053 #define __FUNCT__ "MatMumpsGetIcntl_MUMPS"
2054 PetscErrorCode MatMumpsGetIcntl_MUMPS(Mat F,PetscInt icntl,PetscInt *ival)
2055 {
2056   Mat_MUMPS *mumps =(Mat_MUMPS*)F->spptr;
2057 
2058   PetscFunctionBegin;
2059   *ival = mumps->id.ICNTL(icntl);
2060   PetscFunctionReturn(0);
2061 }
2062 
2063 #undef __FUNCT__
2064 #define __FUNCT__ "MatMumpsSetIcntl"
2065 /*@
2066   MatMumpsSetIcntl - Set MUMPS parameter ICNTL()
2067 
2068    Logically Collective on Mat
2069 
2070    Input Parameters:
2071 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
2072 .  icntl - index of MUMPS parameter array ICNTL()
2073 -  ival - value of MUMPS ICNTL(icntl)
2074 
2075   Options Database:
2076 .   -mat_mumps_icntl_<icntl> <ival>
2077 
2078    Level: beginner
2079 
2080    References:
2081 .     MUMPS Users' Guide
2082 
2083 .seealso: MatGetFactor(), MatMumpsSetICntl(), MatMumpsGetIcntl(), MatMumpsSetCntl(), MatMumpsGetCntl(), MatMumpsGetInfo(), MatMumpsGetInfog(), MatMumpsGetRinfo(), MatMumpsGetRinfog()
2084  @*/
2085 PetscErrorCode MatMumpsSetIcntl(Mat F,PetscInt icntl,PetscInt ival)
2086 {
2087   PetscErrorCode ierr;
2088 
2089   PetscFunctionBegin;
2090   PetscValidType(F,1);
2091   if (!F->factortype) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ARG_WRONGSTATE,"Only for factored matrix");
2092   PetscValidLogicalCollectiveInt(F,icntl,2);
2093   PetscValidLogicalCollectiveInt(F,ival,3);
2094   ierr = PetscTryMethod(F,"MatMumpsSetIcntl_C",(Mat,PetscInt,PetscInt),(F,icntl,ival));CHKERRQ(ierr);
2095   PetscFunctionReturn(0);
2096 }
2097 
2098 #undef __FUNCT__
2099 #define __FUNCT__ "MatMumpsGetIcntl"
2100 /*@
2101   MatMumpsGetIcntl - Get MUMPS parameter ICNTL()
2102 
2103    Logically Collective on Mat
2104 
2105    Input Parameters:
2106 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
2107 -  icntl - index of MUMPS parameter array ICNTL()
2108 
2109   Output Parameter:
2110 .  ival - value of MUMPS ICNTL(icntl)
2111 
2112    Level: beginner
2113 
2114    References:
2115 .     MUMPS Users' Guide
2116 
2117 .seealso: MatGetFactor(), MatMumpsSetICntl(), MatMumpsGetIcntl(), MatMumpsSetCntl(), MatMumpsGetCntl(), MatMumpsGetInfo(), MatMumpsGetInfog(), MatMumpsGetRinfo(), MatMumpsGetRinfog()
2118 @*/
2119 PetscErrorCode MatMumpsGetIcntl(Mat F,PetscInt icntl,PetscInt *ival)
2120 {
2121   PetscErrorCode ierr;
2122 
2123   PetscFunctionBegin;
2124   PetscValidType(F,1);
2125   if (!F->factortype) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ARG_WRONGSTATE,"Only for factored matrix");
2126   PetscValidLogicalCollectiveInt(F,icntl,2);
2127   PetscValidIntPointer(ival,3);
2128   ierr = PetscUseMethod(F,"MatMumpsGetIcntl_C",(Mat,PetscInt,PetscInt*),(F,icntl,ival));CHKERRQ(ierr);
2129   PetscFunctionReturn(0);
2130 }
2131 
2132 /* -------------------------------------------------------------------------------------------*/
2133 #undef __FUNCT__
2134 #define __FUNCT__ "MatMumpsSetCntl_MUMPS"
2135 PetscErrorCode MatMumpsSetCntl_MUMPS(Mat F,PetscInt icntl,PetscReal val)
2136 {
2137   Mat_MUMPS *mumps =(Mat_MUMPS*)F->spptr;
2138 
2139   PetscFunctionBegin;
2140   mumps->id.CNTL(icntl) = val;
2141   PetscFunctionReturn(0);
2142 }
2143 
2144 #undef __FUNCT__
2145 #define __FUNCT__ "MatMumpsGetCntl_MUMPS"
2146 PetscErrorCode MatMumpsGetCntl_MUMPS(Mat F,PetscInt icntl,PetscReal *val)
2147 {
2148   Mat_MUMPS *mumps =(Mat_MUMPS*)F->spptr;
2149 
2150   PetscFunctionBegin;
2151   *val = mumps->id.CNTL(icntl);
2152   PetscFunctionReturn(0);
2153 }
2154 
2155 #undef __FUNCT__
2156 #define __FUNCT__ "MatMumpsSetCntl"
2157 /*@
2158   MatMumpsSetCntl - Set MUMPS parameter CNTL()
2159 
2160    Logically Collective on Mat
2161 
2162    Input Parameters:
2163 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
2164 .  icntl - index of MUMPS parameter array CNTL()
2165 -  val - value of MUMPS CNTL(icntl)
2166 
2167   Options Database:
2168 .   -mat_mumps_cntl_<icntl> <val>
2169 
2170    Level: beginner
2171 
2172    References:
2173 .     MUMPS Users' Guide
2174 
2175 .seealso: MatGetFactor(), MatMumpsSetICntl(), MatMumpsGetIcntl(), MatMumpsSetCntl(), MatMumpsGetCntl(), MatMumpsGetInfo(), MatMumpsGetInfog(), MatMumpsGetRinfo(), MatMumpsGetRinfog()
2176 @*/
2177 PetscErrorCode MatMumpsSetCntl(Mat F,PetscInt icntl,PetscReal val)
2178 {
2179   PetscErrorCode ierr;
2180 
2181   PetscFunctionBegin;
2182   PetscValidType(F,1);
2183   if (!F->factortype) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ARG_WRONGSTATE,"Only for factored matrix");
2184   PetscValidLogicalCollectiveInt(F,icntl,2);
2185   PetscValidLogicalCollectiveReal(F,val,3);
2186   ierr = PetscTryMethod(F,"MatMumpsSetCntl_C",(Mat,PetscInt,PetscReal),(F,icntl,val));CHKERRQ(ierr);
2187   PetscFunctionReturn(0);
2188 }
2189 
2190 #undef __FUNCT__
2191 #define __FUNCT__ "MatMumpsGetCntl"
2192 /*@
2193   MatMumpsGetCntl - Get MUMPS parameter CNTL()
2194 
2195    Logically Collective on Mat
2196 
2197    Input Parameters:
2198 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
2199 -  icntl - index of MUMPS parameter array CNTL()
2200 
2201   Output Parameter:
2202 .  val - value of MUMPS CNTL(icntl)
2203 
2204    Level: beginner
2205 
2206    References:
2207 .      MUMPS Users' Guide
2208 
2209 .seealso: MatGetFactor(), MatMumpsSetICntl(), MatMumpsGetIcntl(), MatMumpsSetCntl(), MatMumpsGetCntl(), MatMumpsGetInfo(), MatMumpsGetInfog(), MatMumpsGetRinfo(), MatMumpsGetRinfog()
2210 @*/
2211 PetscErrorCode MatMumpsGetCntl(Mat F,PetscInt icntl,PetscReal *val)
2212 {
2213   PetscErrorCode ierr;
2214 
2215   PetscFunctionBegin;
2216   PetscValidType(F,1);
2217   if (!F->factortype) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ARG_WRONGSTATE,"Only for factored matrix");
2218   PetscValidLogicalCollectiveInt(F,icntl,2);
2219   PetscValidRealPointer(val,3);
2220   ierr = PetscUseMethod(F,"MatMumpsGetCntl_C",(Mat,PetscInt,PetscReal*),(F,icntl,val));CHKERRQ(ierr);
2221   PetscFunctionReturn(0);
2222 }
2223 
2224 #undef __FUNCT__
2225 #define __FUNCT__ "MatMumpsGetInfo_MUMPS"
2226 PetscErrorCode MatMumpsGetInfo_MUMPS(Mat F,PetscInt icntl,PetscInt *info)
2227 {
2228   Mat_MUMPS *mumps =(Mat_MUMPS*)F->spptr;
2229 
2230   PetscFunctionBegin;
2231   *info = mumps->id.INFO(icntl);
2232   PetscFunctionReturn(0);
2233 }
2234 
2235 #undef __FUNCT__
2236 #define __FUNCT__ "MatMumpsGetInfog_MUMPS"
2237 PetscErrorCode MatMumpsGetInfog_MUMPS(Mat F,PetscInt icntl,PetscInt *infog)
2238 {
2239   Mat_MUMPS *mumps =(Mat_MUMPS*)F->spptr;
2240 
2241   PetscFunctionBegin;
2242   *infog = mumps->id.INFOG(icntl);
2243   PetscFunctionReturn(0);
2244 }
2245 
2246 #undef __FUNCT__
2247 #define __FUNCT__ "MatMumpsGetRinfo_MUMPS"
2248 PetscErrorCode MatMumpsGetRinfo_MUMPS(Mat F,PetscInt icntl,PetscReal *rinfo)
2249 {
2250   Mat_MUMPS *mumps =(Mat_MUMPS*)F->spptr;
2251 
2252   PetscFunctionBegin;
2253   *rinfo = mumps->id.RINFO(icntl);
2254   PetscFunctionReturn(0);
2255 }
2256 
2257 #undef __FUNCT__
2258 #define __FUNCT__ "MatMumpsGetRinfog_MUMPS"
2259 PetscErrorCode MatMumpsGetRinfog_MUMPS(Mat F,PetscInt icntl,PetscReal *rinfog)
2260 {
2261   Mat_MUMPS *mumps =(Mat_MUMPS*)F->spptr;
2262 
2263   PetscFunctionBegin;
2264   *rinfog = mumps->id.RINFOG(icntl);
2265   PetscFunctionReturn(0);
2266 }
2267 
2268 #undef __FUNCT__
2269 #define __FUNCT__ "MatMumpsGetInfo"
2270 /*@
2271   MatMumpsGetInfo - Get MUMPS parameter INFO()
2272 
2273    Logically Collective on Mat
2274 
2275    Input Parameters:
2276 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
2277 -  icntl - index of MUMPS parameter array INFO()
2278 
2279   Output Parameter:
2280 .  ival - value of MUMPS INFO(icntl)
2281 
2282    Level: beginner
2283 
2284    References:
2285 .      MUMPS Users' Guide
2286 
2287 .seealso: MatGetFactor(), MatMumpsSetICntl(), MatMumpsGetIcntl(), MatMumpsSetCntl(), MatMumpsGetCntl(), MatMumpsGetInfo(), MatMumpsGetInfog(), MatMumpsGetRinfo(), MatMumpsGetRinfog()
2288 @*/
2289 PetscErrorCode MatMumpsGetInfo(Mat F,PetscInt icntl,PetscInt *ival)
2290 {
2291   PetscErrorCode ierr;
2292 
2293   PetscFunctionBegin;
2294   PetscValidType(F,1);
2295   if (!F->factortype) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ARG_WRONGSTATE,"Only for factored matrix");
2296   PetscValidIntPointer(ival,3);
2297   ierr = PetscUseMethod(F,"MatMumpsGetInfo_C",(Mat,PetscInt,PetscInt*),(F,icntl,ival));CHKERRQ(ierr);
2298   PetscFunctionReturn(0);
2299 }
2300 
2301 #undef __FUNCT__
2302 #define __FUNCT__ "MatMumpsGetInfog"
2303 /*@
2304   MatMumpsGetInfog - Get MUMPS parameter INFOG()
2305 
2306    Logically Collective on Mat
2307 
2308    Input Parameters:
2309 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
2310 -  icntl - index of MUMPS parameter array INFOG()
2311 
2312   Output Parameter:
2313 .  ival - value of MUMPS INFOG(icntl)
2314 
2315    Level: beginner
2316 
2317    References:
2318 .      MUMPS Users' Guide
2319 
2320 .seealso: MatGetFactor(), MatMumpsSetICntl(), MatMumpsGetIcntl(), MatMumpsSetCntl(), MatMumpsGetCntl(), MatMumpsGetInfo(), MatMumpsGetInfog(), MatMumpsGetRinfo(), MatMumpsGetRinfog()
2321 @*/
2322 PetscErrorCode MatMumpsGetInfog(Mat F,PetscInt icntl,PetscInt *ival)
2323 {
2324   PetscErrorCode ierr;
2325 
2326   PetscFunctionBegin;
2327   PetscValidType(F,1);
2328   if (!F->factortype) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ARG_WRONGSTATE,"Only for factored matrix");
2329   PetscValidIntPointer(ival,3);
2330   ierr = PetscUseMethod(F,"MatMumpsGetInfog_C",(Mat,PetscInt,PetscInt*),(F,icntl,ival));CHKERRQ(ierr);
2331   PetscFunctionReturn(0);
2332 }
2333 
2334 #undef __FUNCT__
2335 #define __FUNCT__ "MatMumpsGetRinfo"
2336 /*@
2337   MatMumpsGetRinfo - Get MUMPS parameter RINFO()
2338 
2339    Logically Collective on Mat
2340 
2341    Input Parameters:
2342 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
2343 -  icntl - index of MUMPS parameter array RINFO()
2344 
2345   Output Parameter:
2346 .  val - value of MUMPS RINFO(icntl)
2347 
2348    Level: beginner
2349 
2350    References:
2351 .       MUMPS Users' Guide
2352 
2353 .seealso: MatGetFactor(), MatMumpsSetICntl(), MatMumpsGetIcntl(), MatMumpsSetCntl(), MatMumpsGetCntl(), MatMumpsGetInfo(), MatMumpsGetInfog(), MatMumpsGetRinfo(), MatMumpsGetRinfog()
2354 @*/
2355 PetscErrorCode MatMumpsGetRinfo(Mat F,PetscInt icntl,PetscReal *val)
2356 {
2357   PetscErrorCode ierr;
2358 
2359   PetscFunctionBegin;
2360   PetscValidType(F,1);
2361   if (!F->factortype) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ARG_WRONGSTATE,"Only for factored matrix");
2362   PetscValidRealPointer(val,3);
2363   ierr = PetscUseMethod(F,"MatMumpsGetRinfo_C",(Mat,PetscInt,PetscReal*),(F,icntl,val));CHKERRQ(ierr);
2364   PetscFunctionReturn(0);
2365 }
2366 
2367 #undef __FUNCT__
2368 #define __FUNCT__ "MatMumpsGetRinfog"
2369 /*@
2370   MatMumpsGetRinfog - Get MUMPS parameter RINFOG()
2371 
2372    Logically Collective on Mat
2373 
2374    Input Parameters:
2375 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
2376 -  icntl - index of MUMPS parameter array RINFOG()
2377 
2378   Output Parameter:
2379 .  val - value of MUMPS RINFOG(icntl)
2380 
2381    Level: beginner
2382 
2383    References:
2384 .      MUMPS Users' Guide
2385 
2386 .seealso: MatGetFactor(), MatMumpsSetICntl(), MatMumpsGetIcntl(), MatMumpsSetCntl(), MatMumpsGetCntl(), MatMumpsGetInfo(), MatMumpsGetInfog(), MatMumpsGetRinfo(), MatMumpsGetRinfog()
2387 @*/
2388 PetscErrorCode MatMumpsGetRinfog(Mat F,PetscInt icntl,PetscReal *val)
2389 {
2390   PetscErrorCode ierr;
2391 
2392   PetscFunctionBegin;
2393   PetscValidType(F,1);
2394   if (!F->factortype) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ARG_WRONGSTATE,"Only for factored matrix");
2395   PetscValidRealPointer(val,3);
2396   ierr = PetscUseMethod(F,"MatMumpsGetRinfog_C",(Mat,PetscInt,PetscReal*),(F,icntl,val));CHKERRQ(ierr);
2397   PetscFunctionReturn(0);
2398 }
2399 
2400 /*MC
2401   MATSOLVERMUMPS -  A matrix type providing direct solvers (LU and Cholesky) for
2402   distributed and sequential matrices via the external package MUMPS.
2403 
2404   Works with MATAIJ and MATSBAIJ matrices
2405 
2406   Use ./configure --download-mumps --download-scalapack --download-parmetis --download-metis --download-ptscotch  to have PETSc installed with MUMPS
2407 
2408   Use -pc_type cholesky or lu -pc_factor_mat_solver_package mumps to us this direct solver
2409 
2410   Options Database Keys:
2411 +  -mat_mumps_icntl_1 - ICNTL(1): output stream for error messages
2412 .  -mat_mumps_icntl_2 - ICNTL(2): output stream for diagnostic printing, statistics, and warning
2413 .  -mat_mumps_icntl_3 -  ICNTL(3): output stream for global information, collected on the host
2414 .  -mat_mumps_icntl_4 -  ICNTL(4): level of printing (0 to 4)
2415 .  -mat_mumps_icntl_6 - ICNTL(6): permutes to a zero-free diagonal and/or scale the matrix (0 to 7)
2416 .  -mat_mumps_icntl_7 - ICNTL(7): computes a symmetric permutation in sequential analysis (0 to 7). 3=Scotch, 4=PORD, 5=Metis
2417 .  -mat_mumps_icntl_8  - ICNTL(8): scaling strategy (-2 to 8 or 77)
2418 .  -mat_mumps_icntl_10  - ICNTL(10): max num of refinements
2419 .  -mat_mumps_icntl_11  - ICNTL(11): statistics related to an error analysis (via -ksp_view)
2420 .  -mat_mumps_icntl_12  - ICNTL(12): an ordering strategy for symmetric matrices (0 to 3)
2421 .  -mat_mumps_icntl_13  - ICNTL(13): parallelism of the root node (enable ScaLAPACK) and its splitting
2422 .  -mat_mumps_icntl_14  - ICNTL(14): percentage increase in the estimated working space
2423 .  -mat_mumps_icntl_19  - ICNTL(19): computes the Schur complement
2424 .  -mat_mumps_icntl_22  - ICNTL(22): in-core/out-of-core factorization and solve (0 or 1)
2425 .  -mat_mumps_icntl_23  - ICNTL(23): max size of the working memory (MB) that can allocate per processor
2426 .  -mat_mumps_icntl_24  - ICNTL(24): detection of null pivot rows (0 or 1)
2427 .  -mat_mumps_icntl_25  - ICNTL(25): compute a solution of a deficient matrix and a null space basis
2428 .  -mat_mumps_icntl_26  - ICNTL(26): drives the solution phase if a Schur complement matrix
2429 .  -mat_mumps_icntl_28  - ICNTL(28): use 1 for sequential analysis and ictnl(7) ordering, or 2 for parallel analysis and ictnl(29) ordering
2430 .  -mat_mumps_icntl_29 - ICNTL(29): parallel ordering 1 = ptscotch, 2 = parmetis
2431 .  -mat_mumps_icntl_30 - ICNTL(30): compute user-specified set of entries in inv(A)
2432 .  -mat_mumps_icntl_31 - ICNTL(31): indicates which factors may be discarded during factorization
2433 .  -mat_mumps_icntl_33 - ICNTL(33): compute determinant
2434 .  -mat_mumps_cntl_1  - CNTL(1): relative pivoting threshold
2435 .  -mat_mumps_cntl_2  -  CNTL(2): stopping criterion of refinement
2436 .  -mat_mumps_cntl_3 - CNTL(3): absolute pivoting threshold
2437 .  -mat_mumps_cntl_4 - CNTL(4): value for static pivoting
2438 -  -mat_mumps_cntl_5 - CNTL(5): fixation for null pivots
2439 
2440   Level: beginner
2441 
2442     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
2443 $          KSPGetPC(ksp,&pc);
2444 $          PCFactorGetMatrix(pc,&mat);
2445 $          MatMumpsGetInfo(mat,....);
2446 $          MatMumpsGetInfog(mat,....); etc.
2447            Or you can run with -ksp_error_if_not_converged and the program will be stopped and the information printed in the error message.
2448 
2449 .seealso: PCFactorSetMatSolverPackage(), MatSolverPackage, MatMumpsSetICntl(), MatMumpsGetIcntl(), MatMumpsSetCntl(), MatMumpsGetCntl(), MatMumpsGetInfo(), MatMumpsGetInfog(), MatMumpsGetRinfo(), MatMumpsGetRinfog(), KSPGetPC(), PCGetFactor(), PCFactorGetMatrix()
2450 
2451 M*/
2452 
2453 #undef __FUNCT__
2454 #define __FUNCT__ "MatFactorGetSolverPackage_mumps"
2455 static PetscErrorCode MatFactorGetSolverPackage_mumps(Mat A,const MatSolverPackage *type)
2456 {
2457   PetscFunctionBegin;
2458   *type = MATSOLVERMUMPS;
2459   PetscFunctionReturn(0);
2460 }
2461 
2462 /* MatGetFactor for Seq and MPI AIJ matrices */
2463 #undef __FUNCT__
2464 #define __FUNCT__ "MatGetFactor_aij_mumps"
2465 static PetscErrorCode MatGetFactor_aij_mumps(Mat A,MatFactorType ftype,Mat *F)
2466 {
2467   Mat            B;
2468   PetscErrorCode ierr;
2469   Mat_MUMPS      *mumps;
2470   PetscBool      isSeqAIJ;
2471 
2472   PetscFunctionBegin;
2473   /* Create the factorization matrix */
2474   ierr = PetscObjectTypeCompare((PetscObject)A,MATSEQAIJ,&isSeqAIJ);CHKERRQ(ierr);
2475   ierr = MatCreate(PetscObjectComm((PetscObject)A),&B);CHKERRQ(ierr);
2476   ierr = MatSetSizes(B,A->rmap->n,A->cmap->n,A->rmap->N,A->cmap->N);CHKERRQ(ierr);
2477   ierr = MatSetType(B,((PetscObject)A)->type_name);CHKERRQ(ierr);
2478   if (isSeqAIJ) {
2479     ierr = MatSeqAIJSetPreallocation(B,0,NULL);CHKERRQ(ierr);
2480   } else {
2481     ierr = MatMPIAIJSetPreallocation(B,0,NULL,0,NULL);CHKERRQ(ierr);
2482   }
2483 
2484   ierr = PetscNewLog(B,&mumps);CHKERRQ(ierr);
2485 
2486   B->ops->view        = MatView_MUMPS;
2487   B->ops->getinfo     = MatGetInfo_MUMPS;
2488   B->ops->getdiagonal = MatGetDiagonal_MUMPS;
2489 
2490   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorGetSolverPackage_C",MatFactorGetSolverPackage_mumps);CHKERRQ(ierr);
2491   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSetSchurIS_C",MatFactorSetSchurIS_MUMPS);CHKERRQ(ierr);
2492   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorInvertSchurComplement_C",MatFactorInvertSchurComplement_MUMPS);CHKERRQ(ierr);
2493   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorCreateSchurComplement_C",MatFactorCreateSchurComplement_MUMPS);CHKERRQ(ierr);
2494   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorGetSchurComplement_C",MatFactorGetSchurComplement_MUMPS);CHKERRQ(ierr);
2495   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSolveSchurComplement_C",MatFactorSolveSchurComplement_MUMPS);CHKERRQ(ierr);
2496   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSolveSchurComplementTranspose_C",MatFactorSolveSchurComplementTranspose_MUMPS);CHKERRQ(ierr);
2497   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsSetIcntl_C",MatMumpsSetIcntl_MUMPS);CHKERRQ(ierr);
2498   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetIcntl_C",MatMumpsGetIcntl_MUMPS);CHKERRQ(ierr);
2499   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsSetCntl_C",MatMumpsSetCntl_MUMPS);CHKERRQ(ierr);
2500   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetCntl_C",MatMumpsGetCntl_MUMPS);CHKERRQ(ierr);
2501   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetInfo_C",MatMumpsGetInfo_MUMPS);CHKERRQ(ierr);
2502   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetInfog_C",MatMumpsGetInfog_MUMPS);CHKERRQ(ierr);
2503   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetRinfo_C",MatMumpsGetRinfo_MUMPS);CHKERRQ(ierr);
2504   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetRinfog_C",MatMumpsGetRinfog_MUMPS);CHKERRQ(ierr);
2505 
2506   if (ftype == MAT_FACTOR_LU) {
2507     B->ops->lufactorsymbolic = MatLUFactorSymbolic_AIJMUMPS;
2508     B->factortype            = MAT_FACTOR_LU;
2509     if (isSeqAIJ) mumps->ConvertToTriples = MatConvertToTriples_seqaij_seqaij;
2510     else mumps->ConvertToTriples = MatConvertToTriples_mpiaij_mpiaij;
2511     mumps->sym = 0;
2512   } else {
2513     B->ops->choleskyfactorsymbolic = MatCholeskyFactorSymbolic_MUMPS;
2514     B->factortype                  = MAT_FACTOR_CHOLESKY;
2515     if (isSeqAIJ) mumps->ConvertToTriples = MatConvertToTriples_seqaij_seqsbaij;
2516     else mumps->ConvertToTriples = MatConvertToTriples_mpiaij_mpisbaij;
2517 #if defined(PETSC_USE_COMPLEX)
2518     mumps->sym = 2;
2519 #else
2520     if (A->spd_set && A->spd) mumps->sym = 1;
2521     else                      mumps->sym = 2;
2522 #endif
2523   }
2524 
2525   /* set solvertype */
2526   ierr = PetscFree(B->solvertype);CHKERRQ(ierr);
2527   ierr = PetscStrallocpy(MATSOLVERMUMPS,&B->solvertype);CHKERRQ(ierr);
2528 
2529   mumps->isAIJ    = PETSC_TRUE;
2530   mumps->Destroy  = B->ops->destroy;
2531   B->ops->destroy = MatDestroy_MUMPS;
2532   B->spptr        = (void*)mumps;
2533 
2534   ierr = PetscInitializeMUMPS(A,mumps);CHKERRQ(ierr);
2535 
2536   *F = B;
2537   PetscFunctionReturn(0);
2538 }
2539 
2540 /* MatGetFactor for Seq and MPI SBAIJ matrices */
2541 #undef __FUNCT__
2542 #define __FUNCT__ "MatGetFactor_sbaij_mumps"
2543 static PetscErrorCode MatGetFactor_sbaij_mumps(Mat A,MatFactorType ftype,Mat *F)
2544 {
2545   Mat            B;
2546   PetscErrorCode ierr;
2547   Mat_MUMPS      *mumps;
2548   PetscBool      isSeqSBAIJ;
2549 
2550   PetscFunctionBegin;
2551   if (ftype != MAT_FACTOR_CHOLESKY) SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_SUP,"Cannot use PETSc SBAIJ matrices with MUMPS LU, use AIJ matrix");
2552   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");
2553   ierr = PetscObjectTypeCompare((PetscObject)A,MATSEQSBAIJ,&isSeqSBAIJ);CHKERRQ(ierr);
2554   /* Create the factorization matrix */
2555   ierr = MatCreate(PetscObjectComm((PetscObject)A),&B);CHKERRQ(ierr);
2556   ierr = MatSetSizes(B,A->rmap->n,A->cmap->n,A->rmap->N,A->cmap->N);CHKERRQ(ierr);
2557   ierr = MatSetType(B,((PetscObject)A)->type_name);CHKERRQ(ierr);
2558   ierr = PetscNewLog(B,&mumps);CHKERRQ(ierr);
2559   if (isSeqSBAIJ) {
2560     ierr = MatSeqSBAIJSetPreallocation(B,1,0,NULL);CHKERRQ(ierr);
2561 
2562     mumps->ConvertToTriples = MatConvertToTriples_seqsbaij_seqsbaij;
2563   } else {
2564     ierr = MatMPISBAIJSetPreallocation(B,1,0,NULL,0,NULL);CHKERRQ(ierr);
2565 
2566     mumps->ConvertToTriples = MatConvertToTriples_mpisbaij_mpisbaij;
2567   }
2568 
2569   B->ops->choleskyfactorsymbolic = MatCholeskyFactorSymbolic_MUMPS;
2570   B->ops->view                   = MatView_MUMPS;
2571   B->ops->getdiagonal            = MatGetDiagonal_MUMPS;
2572 
2573   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorGetSolverPackage_C",MatFactorGetSolverPackage_mumps);CHKERRQ(ierr);
2574   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSetSchurIS_C",MatFactorSetSchurIS_MUMPS);CHKERRQ(ierr);
2575   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorInvertSchurComplement_C",MatFactorInvertSchurComplement_MUMPS);CHKERRQ(ierr);
2576   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorCreateSchurComplement_C",MatFactorCreateSchurComplement_MUMPS);CHKERRQ(ierr);
2577   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorGetSchurComplement_C",MatFactorGetSchurComplement_MUMPS);CHKERRQ(ierr);
2578   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSolveSchurComplement_C",MatFactorSolveSchurComplement_MUMPS);CHKERRQ(ierr);
2579   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSolveSchurComplementTranspose_C",MatFactorSolveSchurComplementTranspose_MUMPS);CHKERRQ(ierr);
2580   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsSetIcntl_C",MatMumpsSetIcntl_MUMPS);CHKERRQ(ierr);
2581   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetIcntl_C",MatMumpsGetIcntl_MUMPS);CHKERRQ(ierr);
2582   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsSetCntl_C",MatMumpsSetCntl_MUMPS);CHKERRQ(ierr);
2583   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetCntl_C",MatMumpsGetCntl_MUMPS);CHKERRQ(ierr);
2584   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetInfo_C",MatMumpsGetInfo_MUMPS);CHKERRQ(ierr);
2585   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetInfog_C",MatMumpsGetInfog_MUMPS);CHKERRQ(ierr);
2586   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetRinfo_C",MatMumpsGetRinfo_MUMPS);CHKERRQ(ierr);
2587   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetRinfog_C",MatMumpsGetRinfog_MUMPS);CHKERRQ(ierr);
2588 
2589   B->factortype = MAT_FACTOR_CHOLESKY;
2590 #if defined(PETSC_USE_COMPLEX)
2591   mumps->sym = 2;
2592 #else
2593   if (A->spd_set && A->spd) mumps->sym = 1;
2594   else                      mumps->sym = 2;
2595 #endif
2596 
2597   /* set solvertype */
2598   ierr = PetscFree(B->solvertype);CHKERRQ(ierr);
2599   ierr = PetscStrallocpy(MATSOLVERMUMPS,&B->solvertype);CHKERRQ(ierr);
2600 
2601   mumps->isAIJ    = PETSC_FALSE;
2602   mumps->Destroy  = B->ops->destroy;
2603   B->ops->destroy = MatDestroy_MUMPS;
2604   B->spptr        = (void*)mumps;
2605 
2606   ierr = PetscInitializeMUMPS(A,mumps);CHKERRQ(ierr);
2607 
2608   *F = B;
2609   PetscFunctionReturn(0);
2610 }
2611 
2612 #undef __FUNCT__
2613 #define __FUNCT__ "MatGetFactor_baij_mumps"
2614 static PetscErrorCode MatGetFactor_baij_mumps(Mat A,MatFactorType ftype,Mat *F)
2615 {
2616   Mat            B;
2617   PetscErrorCode ierr;
2618   Mat_MUMPS      *mumps;
2619   PetscBool      isSeqBAIJ;
2620 
2621   PetscFunctionBegin;
2622   /* Create the factorization matrix */
2623   ierr = PetscObjectTypeCompare((PetscObject)A,MATSEQBAIJ,&isSeqBAIJ);CHKERRQ(ierr);
2624   ierr = MatCreate(PetscObjectComm((PetscObject)A),&B);CHKERRQ(ierr);
2625   ierr = MatSetSizes(B,A->rmap->n,A->cmap->n,A->rmap->N,A->cmap->N);CHKERRQ(ierr);
2626   ierr = MatSetType(B,((PetscObject)A)->type_name);CHKERRQ(ierr);
2627   if (isSeqBAIJ) {
2628     ierr = MatSeqBAIJSetPreallocation(B,A->rmap->bs,0,NULL);CHKERRQ(ierr);
2629   } else {
2630     ierr = MatMPIBAIJSetPreallocation(B,A->rmap->bs,0,NULL,0,NULL);CHKERRQ(ierr);
2631   }
2632 
2633   ierr = PetscNewLog(B,&mumps);CHKERRQ(ierr);
2634   if (ftype == MAT_FACTOR_LU) {
2635     B->ops->lufactorsymbolic = MatLUFactorSymbolic_BAIJMUMPS;
2636     B->factortype            = MAT_FACTOR_LU;
2637     if (isSeqBAIJ) mumps->ConvertToTriples = MatConvertToTriples_seqbaij_seqaij;
2638     else mumps->ConvertToTriples = MatConvertToTriples_mpibaij_mpiaij;
2639     mumps->sym = 0;
2640   } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Cannot use PETSc BAIJ matrices with MUMPS Cholesky, use SBAIJ or AIJ matrix instead\n");
2641 
2642   B->ops->view        = MatView_MUMPS;
2643   B->ops->getdiagonal = MatGetDiagonal_MUMPS;
2644 
2645   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorGetSolverPackage_C",MatFactorGetSolverPackage_mumps);CHKERRQ(ierr);
2646   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSetSchurIS_C",MatFactorSetSchurIS_MUMPS);CHKERRQ(ierr);
2647   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorInvertSchurComplement_C",MatFactorInvertSchurComplement_MUMPS);CHKERRQ(ierr);
2648   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorCreateSchurComplement_C",MatFactorCreateSchurComplement_MUMPS);CHKERRQ(ierr);
2649   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorGetSchurComplement_C",MatFactorGetSchurComplement_MUMPS);CHKERRQ(ierr);
2650   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSolveSchurComplement_C",MatFactorSolveSchurComplement_MUMPS);CHKERRQ(ierr);
2651   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSolveSchurComplementTranspose_C",MatFactorSolveSchurComplementTranspose_MUMPS);CHKERRQ(ierr);
2652   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsSetIcntl_C",MatMumpsSetIcntl_MUMPS);CHKERRQ(ierr);
2653   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetIcntl_C",MatMumpsGetIcntl_MUMPS);CHKERRQ(ierr);
2654   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsSetCntl_C",MatMumpsSetCntl_MUMPS);CHKERRQ(ierr);
2655   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetCntl_C",MatMumpsGetCntl_MUMPS);CHKERRQ(ierr);
2656   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetInfo_C",MatMumpsGetInfo_MUMPS);CHKERRQ(ierr);
2657   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetInfog_C",MatMumpsGetInfog_MUMPS);CHKERRQ(ierr);
2658   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetRinfo_C",MatMumpsGetRinfo_MUMPS);CHKERRQ(ierr);
2659   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetRinfog_C",MatMumpsGetRinfog_MUMPS);CHKERRQ(ierr);
2660 
2661   /* set solvertype */
2662   ierr = PetscFree(B->solvertype);CHKERRQ(ierr);
2663   ierr = PetscStrallocpy(MATSOLVERMUMPS,&B->solvertype);CHKERRQ(ierr);
2664 
2665   mumps->isAIJ    = PETSC_TRUE;
2666   mumps->Destroy  = B->ops->destroy;
2667   B->ops->destroy = MatDestroy_MUMPS;
2668   B->spptr        = (void*)mumps;
2669 
2670   ierr = PetscInitializeMUMPS(A,mumps);CHKERRQ(ierr);
2671 
2672   *F = B;
2673   PetscFunctionReturn(0);
2674 }
2675 
2676 #undef __FUNCT__
2677 #define __FUNCT__ "MatSolverPackageRegister_MUMPS"
2678 PETSC_EXTERN PetscErrorCode MatSolverPackageRegister_MUMPS(void)
2679 {
2680   PetscErrorCode ierr;
2681 
2682   PetscFunctionBegin;
2683   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATMPIAIJ,MAT_FACTOR_LU,MatGetFactor_aij_mumps);CHKERRQ(ierr);
2684   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATMPIAIJ,MAT_FACTOR_CHOLESKY,MatGetFactor_aij_mumps);CHKERRQ(ierr);
2685   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATMPIBAIJ,MAT_FACTOR_LU,MatGetFactor_baij_mumps);CHKERRQ(ierr);
2686   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATMPIBAIJ,MAT_FACTOR_CHOLESKY,MatGetFactor_baij_mumps);CHKERRQ(ierr);
2687   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATMPISBAIJ,MAT_FACTOR_CHOLESKY,MatGetFactor_sbaij_mumps);CHKERRQ(ierr);
2688   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATSEQAIJ,MAT_FACTOR_LU,MatGetFactor_aij_mumps);CHKERRQ(ierr);
2689   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATSEQAIJ,MAT_FACTOR_CHOLESKY,MatGetFactor_aij_mumps);CHKERRQ(ierr);
2690   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATSEQBAIJ,MAT_FACTOR_LU,MatGetFactor_baij_mumps);CHKERRQ(ierr);
2691   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATSEQBAIJ,MAT_FACTOR_CHOLESKY,MatGetFactor_baij_mumps);CHKERRQ(ierr);
2692   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATSEQSBAIJ,MAT_FACTOR_CHOLESKY,MatGetFactor_sbaij_mumps);CHKERRQ(ierr);
2693   PetscFunctionReturn(0);
2694 }
2695 
2696