xref: /petsc/src/mat/impls/aij/mpi/mumps/mumps.c (revision e8ade678444ba846a4c00911e020f3c490b8868c)
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   PetscInt     schur_sym;
99 
100   PetscErrorCode (*Destroy)(Mat);
101   PetscErrorCode (*ConvertToTriples)(Mat, int, MatReuse, int*, int**, int**, PetscScalar**);
102 } Mat_MUMPS;
103 
104 extern PetscErrorCode MatDuplicate_MUMPS(Mat,MatDuplicateOption,Mat*);
105 
106 #undef __FUNCT__
107 #define __FUNCT__ "MatMumpsResetSchur_Private"
108 static PetscErrorCode MatMumpsResetSchur_Private(Mat_MUMPS* mumps)
109 {
110   PetscErrorCode ierr;
111 
112   PetscFunctionBegin;
113   ierr = PetscFree2(mumps->id.listvar_schur,mumps->id.schur);CHKERRQ(ierr);
114   ierr = PetscFree(mumps->id.redrhs);CHKERRQ(ierr);
115   ierr = PetscFree(mumps->schur_sol);CHKERRQ(ierr);
116   ierr = PetscFree(mumps->schur_pivots);CHKERRQ(ierr);
117   ierr = PetscFree(mumps->schur_work);CHKERRQ(ierr);
118   mumps->id.size_schur = 0;
119   mumps->id.ICNTL(19) = 0;
120   PetscFunctionReturn(0);
121 }
122 
123 #undef __FUNCT__
124 #define __FUNCT__ "MatMumpsFactorSchur_Private"
125 static PetscErrorCode MatMumpsFactorSchur_Private(Mat_MUMPS* mumps)
126 {
127   PetscBLASInt   B_N,B_ierr,B_slda;
128   PetscErrorCode ierr;
129 
130   PetscFunctionBegin;
131   if (mumps->schur_factored) {
132     PetscFunctionReturn(0);
133   }
134   ierr = PetscBLASIntCast(mumps->id.size_schur,&B_N);CHKERRQ(ierr);
135   ierr = PetscBLASIntCast(mumps->id.schur_lld,&B_slda);CHKERRQ(ierr);
136   if (!mumps->sym) { /* MUMPS always return a full Schur matrix */
137     if (!mumps->schur_pivots) {
138       ierr = PetscMalloc1(B_N,&mumps->schur_pivots);CHKERRQ(ierr);
139     }
140     ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr);
141     PetscStackCallBLAS("LAPACKgetrf",LAPACKgetrf_(&B_N,&B_N,(PetscScalar*)mumps->id.schur,&B_slda,mumps->schur_pivots,&B_ierr));
142     ierr = PetscFPTrapPop();CHKERRQ(ierr);
143     if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in GETRF Lapack routine %d",(int)B_ierr);
144   } else { /* either full or lower-triangular (not packed) */
145     char ord[2];
146     if (mumps->id.ICNTL(19) == 2 || mumps->id.ICNTL(19) == 3) { /* lower triangular stored by columns or full matrix */
147       sprintf(ord,"L");
148     } else { /* ICNTL(19) == 1 lower triangular stored by rows */
149       sprintf(ord,"U");
150     }
151     if (mumps->schur_sym == 2) {
152       if (!mumps->schur_pivots) {
153         PetscScalar  lwork;
154 
155         ierr = PetscMalloc1(B_N,&mumps->schur_pivots);CHKERRQ(ierr);
156         mumps->schur_B_lwork=-1;
157         ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr);
158         PetscStackCallBLAS("LAPACKsytrf",LAPACKsytrf_(ord,&B_N,(PetscScalar*)mumps->id.schur,&B_slda,mumps->schur_pivots,&lwork,&mumps->schur_B_lwork,&B_ierr));
159         ierr = PetscFPTrapPop();CHKERRQ(ierr);
160         if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in query to SYTRF Lapack routine %d",(int)B_ierr);
161         ierr = PetscBLASIntCast((PetscInt)PetscRealPart(lwork),&mumps->schur_B_lwork);CHKERRQ(ierr);
162         ierr = PetscMalloc1(mumps->schur_B_lwork,&mumps->schur_work);CHKERRQ(ierr);
163       }
164       ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr);
165       PetscStackCallBLAS("LAPACKsytrf",LAPACKsytrf_(ord,&B_N,(PetscScalar*)mumps->id.schur,&B_slda,mumps->schur_pivots,mumps->schur_work,&mumps->schur_B_lwork,&B_ierr));
166       ierr = PetscFPTrapPop();CHKERRQ(ierr);
167       if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in SYTRF Lapack routine %d",(int)B_ierr);
168     } else {
169       ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr);
170       PetscStackCallBLAS("LAPACKpotrf",LAPACKpotrf_(ord,&B_N,(PetscScalar*)mumps->id.schur,&B_slda,&B_ierr));
171       ierr = PetscFPTrapPop();CHKERRQ(ierr);
172       if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in POTRF Lapack routine %d",(int)B_ierr);
173     }
174   }
175   mumps->schur_factored = PETSC_TRUE;
176   PetscFunctionReturn(0);
177 }
178 
179 #undef __FUNCT__
180 #define __FUNCT__ "MatMumpsInvertSchur_Private"
181 static PetscErrorCode MatMumpsInvertSchur_Private(Mat_MUMPS* mumps)
182 {
183   PetscBLASInt   B_N,B_ierr,B_slda;
184   PetscErrorCode ierr;
185 
186   PetscFunctionBegin;
187   ierr = MatMumpsFactorSchur_Private(mumps);CHKERRQ(ierr);
188   ierr = PetscBLASIntCast(mumps->id.size_schur,&B_N);CHKERRQ(ierr);
189   ierr = PetscBLASIntCast(mumps->id.schur_lld,&B_slda);CHKERRQ(ierr);
190   if (!mumps->sym) { /* MUMPS always return a full Schur matrix */
191     if (!mumps->schur_work) {
192       PetscScalar lwork;
193 
194       mumps->schur_B_lwork = -1;
195       ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr);
196       PetscStackCallBLAS("LAPACKgetri",LAPACKgetri_(&B_N,(PetscScalar*)mumps->id.schur,&B_N,mumps->schur_pivots,&lwork,&mumps->schur_B_lwork,&B_ierr));
197       ierr = PetscFPTrapPop();CHKERRQ(ierr);
198       if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in query to GETRI Lapack routine %d",(int)B_ierr);
199       ierr = PetscBLASIntCast((PetscInt)PetscRealPart(lwork),&mumps->schur_B_lwork);CHKERRQ(ierr);
200       ierr = PetscMalloc1(mumps->schur_B_lwork,&mumps->schur_work);CHKERRQ(ierr);
201     }
202     ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr);
203     PetscStackCallBLAS("LAPACKgetri",LAPACKgetri_(&B_N,(PetscScalar*)mumps->id.schur,&B_N,mumps->schur_pivots,mumps->schur_work,&mumps->schur_B_lwork,&B_ierr));
204     ierr = PetscFPTrapPop();CHKERRQ(ierr);
205     if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in GETRI Lapack routine %d",(int)B_ierr);
206   } else { /* either full or lower-triangular (not packed) */
207     char ord[2];
208     if (mumps->id.ICNTL(19) == 2 || mumps->id.ICNTL(19) == 3) { /* lower triangular stored by columns or full matrix */
209       sprintf(ord,"L");
210     } else { /* ICNTL(19) == 1 lower triangular stored by rows */
211       sprintf(ord,"U");
212     }
213     if (mumps->schur_sym == 2) {
214       ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr);
215       PetscStackCallBLAS("LAPACKsytri",LAPACKsytri_(ord,&B_N,(PetscScalar*)mumps->id.schur,&B_N,mumps->schur_pivots,mumps->schur_work,&B_ierr));
216       ierr = PetscFPTrapPop();CHKERRQ(ierr);
217       if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in SYTRI Lapack routine %d",(int)B_ierr);
218     } else {
219       ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr);
220       PetscStackCallBLAS("LAPACKpotri",LAPACKpotri_(ord,&B_N,(PetscScalar*)mumps->id.schur,&B_N,&B_ierr));
221       ierr = PetscFPTrapPop();CHKERRQ(ierr);
222       if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in POTRI Lapack routine %d",(int)B_ierr);
223     }
224   }
225   mumps->schur_inverted = PETSC_TRUE;
226   PetscFunctionReturn(0);
227 }
228 
229 #undef __FUNCT__
230 #define __FUNCT__ "MatMumpsSolveSchur_Private"
231 static PetscErrorCode MatMumpsSolveSchur_Private(Mat_MUMPS* mumps, PetscBool sol_in_redrhs)
232 {
233   PetscBLASInt   B_N,B_Nrhs,B_ierr,B_slda,B_rlda;
234   PetscScalar    one=1.,zero=0.;
235   PetscErrorCode ierr;
236 
237   PetscFunctionBegin;
238   ierr = MatMumpsFactorSchur_Private(mumps);CHKERRQ(ierr);
239   ierr = PetscBLASIntCast(mumps->id.size_schur,&B_N);CHKERRQ(ierr);
240   ierr = PetscBLASIntCast(mumps->id.schur_lld,&B_slda);CHKERRQ(ierr);
241   ierr = PetscBLASIntCast(mumps->id.nrhs,&B_Nrhs);CHKERRQ(ierr);
242   ierr = PetscBLASIntCast(mumps->id.lredrhs,&B_rlda);CHKERRQ(ierr);
243   if (mumps->schur_inverted) {
244     PetscInt sizesol = B_Nrhs*B_N;
245     if (!mumps->schur_sol || sizesol > mumps->schur_sizesol) {
246       ierr = PetscFree(mumps->schur_sol);CHKERRQ(ierr);
247       ierr = PetscMalloc1(sizesol,&mumps->schur_sol);CHKERRQ(ierr);
248       mumps->schur_sizesol = sizesol;
249     }
250     if (!mumps->sym) {
251       char type[2];
252       if (mumps->id.ICNTL(19) == 1) { /* stored by rows */
253         if (!mumps->id.ICNTL(9)) { /* transpose solve */
254           sprintf(type,"N");
255         } else {
256           sprintf(type,"T");
257         }
258       } else { /* stored by columns */
259         if (!mumps->id.ICNTL(9)) { /* transpose solve */
260           sprintf(type,"T");
261         } else {
262           sprintf(type,"N");
263         }
264       }
265       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));
266     } else {
267       char ord[2];
268       if (mumps->id.ICNTL(19) == 2 || mumps->id.ICNTL(19) == 3) { /* lower triangular stored by columns or full matrix */
269         sprintf(ord,"L");
270       } else { /* ICNTL(19) == 1 lower triangular stored by rows */
271         sprintf(ord,"U");
272       }
273       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));
274     }
275     if (sol_in_redrhs) {
276       ierr = PetscMemcpy(mumps->id.redrhs,mumps->schur_sol,sizesol*sizeof(PetscScalar));CHKERRQ(ierr);
277     }
278   } else { /* Schur complement has not yet been inverted */
279     MumpsScalar *orhs=NULL;
280 
281     if (!sol_in_redrhs) {
282       PetscInt sizesol = B_Nrhs*B_N;
283       if (!mumps->schur_sol || sizesol > mumps->schur_sizesol) {
284         ierr = PetscFree(mumps->schur_sol);CHKERRQ(ierr);
285         ierr = PetscMalloc1(sizesol,&mumps->schur_sol);CHKERRQ(ierr);
286         mumps->schur_sizesol = sizesol;
287       }
288       orhs = mumps->id.redrhs;
289       ierr = PetscMemcpy(mumps->schur_sol,mumps->id.redrhs,sizesol*sizeof(PetscScalar));CHKERRQ(ierr);
290       mumps->id.redrhs = (MumpsScalar*)mumps->schur_sol;
291     }
292     if (!mumps->sym) { /* MUMPS always return a full Schur matrix */
293       char type[2];
294       if (mumps->id.ICNTL(19) == 1) { /* stored by rows */
295         if (!mumps->id.ICNTL(9)) { /* transpose solve */
296           sprintf(type,"N");
297         } else {
298           sprintf(type,"T");
299         }
300       } else { /* stored by columns */
301         if (!mumps->id.ICNTL(9)) { /* transpose solve */
302           sprintf(type,"T");
303         } else {
304           sprintf(type,"N");
305         }
306       }
307       ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr);
308       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));
309       ierr = PetscFPTrapPop();CHKERRQ(ierr);
310       if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in GETRS Lapack routine %d",(int)B_ierr);
311     } else { /* either full or lower-triangular (not packed) */
312       char ord[2];
313       if (mumps->id.ICNTL(19) == 2 || mumps->id.ICNTL(19) == 3) { /* lower triangular stored by columns or full matrix */
314         sprintf(ord,"L");
315       } else { /* ICNTL(19) == 1 lower triangular stored by rows */
316         sprintf(ord,"U");
317       }
318       if (mumps->schur_sym == 2) {
319         ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr);
320         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));
321         ierr = PetscFPTrapPop();CHKERRQ(ierr);
322         if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in SYTRS Lapack routine %d",(int)B_ierr);
323       } else {
324         ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr);
325         PetscStackCallBLAS("LAPACKpotrs",LAPACKpotrs_(ord,&B_N,&B_Nrhs,(PetscScalar*)mumps->id.schur,&B_slda,(PetscScalar*)mumps->id.redrhs,&B_rlda,&B_ierr));
326         ierr = PetscFPTrapPop();CHKERRQ(ierr);
327         if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in POTRS Lapack routine %d",(int)B_ierr);
328       }
329     }
330     if (!sol_in_redrhs) {
331       mumps->id.redrhs = orhs;
332     }
333   }
334   PetscFunctionReturn(0);
335 }
336 
337 #undef __FUNCT__
338 #define __FUNCT__ "MatMumpsHandleSchur_Private"
339 static PetscErrorCode MatMumpsHandleSchur_Private(Mat_MUMPS* mumps, PetscBool expansion)
340 {
341   PetscErrorCode ierr;
342 
343   PetscFunctionBegin;
344   if (!mumps->id.ICNTL(19)) { /* do nothing when Schur complement has not been computed */
345     PetscFunctionReturn(0);
346   }
347   if (!expansion) { /* prepare for the condensation step */
348     PetscInt sizeredrhs = mumps->id.nrhs*mumps->id.size_schur;
349     /* allocate MUMPS internal array to store reduced right-hand sides */
350     if (!mumps->id.redrhs || sizeredrhs > mumps->sizeredrhs) {
351       ierr = PetscFree(mumps->id.redrhs);CHKERRQ(ierr);
352       mumps->id.lredrhs = mumps->id.size_schur;
353       ierr = PetscMalloc1(mumps->id.nrhs*mumps->id.lredrhs,&mumps->id.redrhs);CHKERRQ(ierr);
354       mumps->sizeredrhs = mumps->id.nrhs*mumps->id.lredrhs;
355     }
356     mumps->id.ICNTL(26) = 1; /* condensation phase */
357   } else { /* prepare for the expansion step */
358     /* solve Schur complement (this has to be done by the MUMPS user, so basically us) */
359     ierr = MatMumpsSolveSchur_Private(mumps,PETSC_TRUE);CHKERRQ(ierr);
360     mumps->id.ICNTL(26) = 2; /* expansion phase */
361     PetscMUMPS_c(&mumps->id);
362     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));
363     /* restore defaults */
364     mumps->id.ICNTL(26) = -1;
365     /* free MUMPS internal array for redrhs if we have solved for multiple rhs in order to save memory space */
366     if (mumps->id.nrhs > 1) {
367       ierr = PetscFree(mumps->id.redrhs);CHKERRQ(ierr);
368       mumps->id.lredrhs = 0;
369       mumps->sizeredrhs = 0;
370     }
371   }
372   PetscFunctionReturn(0);
373 }
374 
375 /*
376   MatConvertToTriples_A_B - convert Petsc matrix to triples: row[nz], col[nz], val[nz]
377 
378   input:
379     A       - matrix in aij,baij or sbaij (bs=1) format
380     shift   - 0: C style output triple; 1: Fortran style output triple.
381     reuse   - MAT_INITIAL_MATRIX: spaces are allocated and values are set for the triple
382               MAT_REUSE_MATRIX:   only the values in v array are updated
383   output:
384     nnz     - dim of r, c, and v (number of local nonzero entries of A)
385     r, c, v - row and col index, matrix values (matrix triples)
386 
387   The returned values r, c, and sometimes v are obtained in a single PetscMalloc(). Then in MatDestroy_MUMPS() it is
388   freed with PetscFree((mumps->irn);  This is not ideal code, the fact that v is ONLY sometimes part of mumps->irn means
389   that the PetscMalloc() cannot easily be replaced with a PetscMalloc3().
390 
391  */
392 
393 #undef __FUNCT__
394 #define __FUNCT__ "MatConvertToTriples_seqaij_seqaij"
395 PetscErrorCode MatConvertToTriples_seqaij_seqaij(Mat A,int shift,MatReuse reuse,int *nnz,int **r, int **c, PetscScalar **v)
396 {
397   const PetscInt *ai,*aj,*ajj,M=A->rmap->n;
398   PetscInt       nz,rnz,i,j;
399   PetscErrorCode ierr;
400   PetscInt       *row,*col;
401   Mat_SeqAIJ     *aa=(Mat_SeqAIJ*)A->data;
402 
403   PetscFunctionBegin;
404   *v=aa->a;
405   if (reuse == MAT_INITIAL_MATRIX) {
406     nz   = aa->nz;
407     ai   = aa->i;
408     aj   = aa->j;
409     *nnz = nz;
410     ierr = PetscMalloc1(2*nz, &row);CHKERRQ(ierr);
411     col  = row + nz;
412 
413     nz = 0;
414     for (i=0; i<M; i++) {
415       rnz = ai[i+1] - ai[i];
416       ajj = aj + ai[i];
417       for (j=0; j<rnz; j++) {
418         row[nz] = i+shift; col[nz++] = ajj[j] + shift;
419       }
420     }
421     *r = row; *c = col;
422   }
423   PetscFunctionReturn(0);
424 }
425 
426 #undef __FUNCT__
427 #define __FUNCT__ "MatConvertToTriples_seqbaij_seqaij"
428 PetscErrorCode MatConvertToTriples_seqbaij_seqaij(Mat A,int shift,MatReuse reuse,int *nnz,int **r, int **c, PetscScalar **v)
429 {
430   Mat_SeqBAIJ    *aa=(Mat_SeqBAIJ*)A->data;
431   const PetscInt *ai,*aj,*ajj,bs2 = aa->bs2;
432   PetscInt       bs,M,nz,idx=0,rnz,i,j,k,m;
433   PetscErrorCode ierr;
434   PetscInt       *row,*col;
435 
436   PetscFunctionBegin;
437   ierr = MatGetBlockSize(A,&bs);CHKERRQ(ierr);
438   M = A->rmap->N/bs;
439   *v = aa->a;
440   if (reuse == MAT_INITIAL_MATRIX) {
441     ai   = aa->i; aj = aa->j;
442     nz   = bs2*aa->nz;
443     *nnz = nz;
444     ierr = PetscMalloc1(2*nz, &row);CHKERRQ(ierr);
445     col  = row + nz;
446 
447     for (i=0; i<M; i++) {
448       ajj = aj + ai[i];
449       rnz = ai[i+1] - ai[i];
450       for (k=0; k<rnz; k++) {
451         for (j=0; j<bs; j++) {
452           for (m=0; m<bs; m++) {
453             row[idx]   = i*bs + m + shift;
454             col[idx++] = bs*(ajj[k]) + j + shift;
455           }
456         }
457       }
458     }
459     *r = row; *c = col;
460   }
461   PetscFunctionReturn(0);
462 }
463 
464 #undef __FUNCT__
465 #define __FUNCT__ "MatConvertToTriples_seqsbaij_seqsbaij"
466 PetscErrorCode MatConvertToTriples_seqsbaij_seqsbaij(Mat A,int shift,MatReuse reuse,int *nnz,int **r, int **c, PetscScalar **v)
467 {
468   const PetscInt *ai, *aj,*ajj,M=A->rmap->n;
469   PetscInt       nz,rnz,i,j;
470   PetscErrorCode ierr;
471   PetscInt       *row,*col;
472   Mat_SeqSBAIJ   *aa=(Mat_SeqSBAIJ*)A->data;
473 
474   PetscFunctionBegin;
475   *v = aa->a;
476   if (reuse == MAT_INITIAL_MATRIX) {
477     nz   = aa->nz;
478     ai   = aa->i;
479     aj   = aa->j;
480     *v   = aa->a;
481     *nnz = nz;
482     ierr = PetscMalloc1(2*nz, &row);CHKERRQ(ierr);
483     col  = row + nz;
484 
485     nz = 0;
486     for (i=0; i<M; i++) {
487       rnz = ai[i+1] - ai[i];
488       ajj = aj + ai[i];
489       for (j=0; j<rnz; j++) {
490         row[nz] = i+shift; col[nz++] = ajj[j] + shift;
491       }
492     }
493     *r = row; *c = col;
494   }
495   PetscFunctionReturn(0);
496 }
497 
498 #undef __FUNCT__
499 #define __FUNCT__ "MatConvertToTriples_seqaij_seqsbaij"
500 PetscErrorCode MatConvertToTriples_seqaij_seqsbaij(Mat A,int shift,MatReuse reuse,int *nnz,int **r, int **c, PetscScalar **v)
501 {
502   const PetscInt    *ai,*aj,*ajj,*adiag,M=A->rmap->n;
503   PetscInt          nz,rnz,i,j;
504   const PetscScalar *av,*v1;
505   PetscScalar       *val;
506   PetscErrorCode    ierr;
507   PetscInt          *row,*col;
508   Mat_SeqAIJ        *aa=(Mat_SeqAIJ*)A->data;
509 
510   PetscFunctionBegin;
511   ai   =aa->i; aj=aa->j;av=aa->a;
512   adiag=aa->diag;
513   if (reuse == MAT_INITIAL_MATRIX) {
514     /* count nz in the uppper triangular part of A */
515     nz = 0;
516     for (i=0; i<M; i++) nz += ai[i+1] - adiag[i];
517     *nnz = nz;
518 
519     ierr = PetscMalloc((2*nz*sizeof(PetscInt)+nz*sizeof(PetscScalar)), &row);CHKERRQ(ierr);
520     col  = row + nz;
521     val  = (PetscScalar*)(col + nz);
522 
523     nz = 0;
524     for (i=0; i<M; i++) {
525       rnz = ai[i+1] - adiag[i];
526       ajj = aj + adiag[i];
527       v1  = av + adiag[i];
528       for (j=0; j<rnz; j++) {
529         row[nz] = i+shift; col[nz] = ajj[j] + shift; val[nz++] = v1[j];
530       }
531     }
532     *r = row; *c = col; *v = val;
533   } else {
534     nz = 0; val = *v;
535     for (i=0; i <M; i++) {
536       rnz = ai[i+1] - adiag[i];
537       ajj = aj + adiag[i];
538       v1  = av + adiag[i];
539       for (j=0; j<rnz; j++) {
540         val[nz++] = v1[j];
541       }
542     }
543   }
544   PetscFunctionReturn(0);
545 }
546 
547 #undef __FUNCT__
548 #define __FUNCT__ "MatConvertToTriples_mpisbaij_mpisbaij"
549 PetscErrorCode MatConvertToTriples_mpisbaij_mpisbaij(Mat A,int shift,MatReuse reuse,int *nnz,int **r, int **c, PetscScalar **v)
550 {
551   const PetscInt    *ai, *aj, *bi, *bj,*garray,m=A->rmap->n,*ajj,*bjj;
552   PetscErrorCode    ierr;
553   PetscInt          rstart,nz,i,j,jj,irow,countA,countB;
554   PetscInt          *row,*col;
555   const PetscScalar *av, *bv,*v1,*v2;
556   PetscScalar       *val;
557   Mat_MPISBAIJ      *mat = (Mat_MPISBAIJ*)A->data;
558   Mat_SeqSBAIJ      *aa  = (Mat_SeqSBAIJ*)(mat->A)->data;
559   Mat_SeqBAIJ       *bb  = (Mat_SeqBAIJ*)(mat->B)->data;
560 
561   PetscFunctionBegin;
562   ai=aa->i; aj=aa->j; bi=bb->i; bj=bb->j; rstart= A->rmap->rstart;
563   av=aa->a; bv=bb->a;
564 
565   garray = mat->garray;
566 
567   if (reuse == MAT_INITIAL_MATRIX) {
568     nz   = aa->nz + bb->nz;
569     *nnz = nz;
570     ierr = PetscMalloc((2*nz*sizeof(PetscInt)+nz*sizeof(PetscScalar)), &row);CHKERRQ(ierr);
571     col  = row + nz;
572     val  = (PetscScalar*)(col + nz);
573 
574     *r = row; *c = col; *v = val;
575   } else {
576     row = *r; col = *c; val = *v;
577   }
578 
579   jj = 0; irow = rstart;
580   for (i=0; i<m; i++) {
581     ajj    = aj + ai[i];                 /* ptr to the beginning of this row */
582     countA = ai[i+1] - ai[i];
583     countB = bi[i+1] - bi[i];
584     bjj    = bj + bi[i];
585     v1     = av + ai[i];
586     v2     = bv + bi[i];
587 
588     /* A-part */
589     for (j=0; j<countA; j++) {
590       if (reuse == MAT_INITIAL_MATRIX) {
591         row[jj] = irow + shift; col[jj] = rstart + ajj[j] + shift;
592       }
593       val[jj++] = v1[j];
594     }
595 
596     /* B-part */
597     for (j=0; j < countB; j++) {
598       if (reuse == MAT_INITIAL_MATRIX) {
599         row[jj] = irow + shift; col[jj] = garray[bjj[j]] + shift;
600       }
601       val[jj++] = v2[j];
602     }
603     irow++;
604   }
605   PetscFunctionReturn(0);
606 }
607 
608 #undef __FUNCT__
609 #define __FUNCT__ "MatConvertToTriples_mpiaij_mpiaij"
610 PetscErrorCode MatConvertToTriples_mpiaij_mpiaij(Mat A,int shift,MatReuse reuse,int *nnz,int **r, int **c, PetscScalar **v)
611 {
612   const PetscInt    *ai, *aj, *bi, *bj,*garray,m=A->rmap->n,*ajj,*bjj;
613   PetscErrorCode    ierr;
614   PetscInt          rstart,nz,i,j,jj,irow,countA,countB;
615   PetscInt          *row,*col;
616   const PetscScalar *av, *bv,*v1,*v2;
617   PetscScalar       *val;
618   Mat_MPIAIJ        *mat = (Mat_MPIAIJ*)A->data;
619   Mat_SeqAIJ        *aa  = (Mat_SeqAIJ*)(mat->A)->data;
620   Mat_SeqAIJ        *bb  = (Mat_SeqAIJ*)(mat->B)->data;
621 
622   PetscFunctionBegin;
623   ai=aa->i; aj=aa->j; bi=bb->i; bj=bb->j; rstart= A->rmap->rstart;
624   av=aa->a; bv=bb->a;
625 
626   garray = mat->garray;
627 
628   if (reuse == MAT_INITIAL_MATRIX) {
629     nz   = aa->nz + bb->nz;
630     *nnz = nz;
631     ierr = PetscMalloc((2*nz*sizeof(PetscInt)+nz*sizeof(PetscScalar)), &row);CHKERRQ(ierr);
632     col  = row + nz;
633     val  = (PetscScalar*)(col + nz);
634 
635     *r = row; *c = col; *v = val;
636   } else {
637     row = *r; col = *c; val = *v;
638   }
639 
640   jj = 0; irow = rstart;
641   for (i=0; i<m; i++) {
642     ajj    = aj + ai[i];                 /* ptr to the beginning of this row */
643     countA = ai[i+1] - ai[i];
644     countB = bi[i+1] - bi[i];
645     bjj    = bj + bi[i];
646     v1     = av + ai[i];
647     v2     = bv + bi[i];
648 
649     /* A-part */
650     for (j=0; j<countA; j++) {
651       if (reuse == MAT_INITIAL_MATRIX) {
652         row[jj] = irow + shift; col[jj] = rstart + ajj[j] + shift;
653       }
654       val[jj++] = v1[j];
655     }
656 
657     /* B-part */
658     for (j=0; j < countB; j++) {
659       if (reuse == MAT_INITIAL_MATRIX) {
660         row[jj] = irow + shift; col[jj] = garray[bjj[j]] + shift;
661       }
662       val[jj++] = v2[j];
663     }
664     irow++;
665   }
666   PetscFunctionReturn(0);
667 }
668 
669 #undef __FUNCT__
670 #define __FUNCT__ "MatConvertToTriples_mpibaij_mpiaij"
671 PetscErrorCode MatConvertToTriples_mpibaij_mpiaij(Mat A,int shift,MatReuse reuse,int *nnz,int **r, int **c, PetscScalar **v)
672 {
673   Mat_MPIBAIJ       *mat    = (Mat_MPIBAIJ*)A->data;
674   Mat_SeqBAIJ       *aa     = (Mat_SeqBAIJ*)(mat->A)->data;
675   Mat_SeqBAIJ       *bb     = (Mat_SeqBAIJ*)(mat->B)->data;
676   const PetscInt    *ai     = aa->i, *bi = bb->i, *aj = aa->j, *bj = bb->j,*ajj, *bjj;
677   const PetscInt    *garray = mat->garray,mbs=mat->mbs,rstart=A->rmap->rstart;
678   const PetscInt    bs2=mat->bs2;
679   PetscErrorCode    ierr;
680   PetscInt          bs,nz,i,j,k,n,jj,irow,countA,countB,idx;
681   PetscInt          *row,*col;
682   const PetscScalar *av=aa->a, *bv=bb->a,*v1,*v2;
683   PetscScalar       *val;
684 
685   PetscFunctionBegin;
686   ierr = MatGetBlockSize(A,&bs);CHKERRQ(ierr);
687   if (reuse == MAT_INITIAL_MATRIX) {
688     nz   = bs2*(aa->nz + bb->nz);
689     *nnz = nz;
690     ierr = PetscMalloc((2*nz*sizeof(PetscInt)+nz*sizeof(PetscScalar)), &row);CHKERRQ(ierr);
691     col  = row + nz;
692     val  = (PetscScalar*)(col + nz);
693 
694     *r = row; *c = col; *v = val;
695   } else {
696     row = *r; col = *c; val = *v;
697   }
698 
699   jj = 0; irow = rstart;
700   for (i=0; i<mbs; i++) {
701     countA = ai[i+1] - ai[i];
702     countB = bi[i+1] - bi[i];
703     ajj    = aj + ai[i];
704     bjj    = bj + bi[i];
705     v1     = av + bs2*ai[i];
706     v2     = bv + bs2*bi[i];
707 
708     idx = 0;
709     /* A-part */
710     for (k=0; k<countA; k++) {
711       for (j=0; j<bs; j++) {
712         for (n=0; n<bs; n++) {
713           if (reuse == MAT_INITIAL_MATRIX) {
714             row[jj] = irow + n + shift;
715             col[jj] = rstart + bs*ajj[k] + j + shift;
716           }
717           val[jj++] = v1[idx++];
718         }
719       }
720     }
721 
722     idx = 0;
723     /* B-part */
724     for (k=0; k<countB; k++) {
725       for (j=0; j<bs; j++) {
726         for (n=0; n<bs; n++) {
727           if (reuse == MAT_INITIAL_MATRIX) {
728             row[jj] = irow + n + shift;
729             col[jj] = bs*garray[bjj[k]] + j + shift;
730           }
731           val[jj++] = v2[idx++];
732         }
733       }
734     }
735     irow += bs;
736   }
737   PetscFunctionReturn(0);
738 }
739 
740 #undef __FUNCT__
741 #define __FUNCT__ "MatConvertToTriples_mpiaij_mpisbaij"
742 PetscErrorCode MatConvertToTriples_mpiaij_mpisbaij(Mat A,int shift,MatReuse reuse,int *nnz,int **r, int **c, PetscScalar **v)
743 {
744   const PetscInt    *ai, *aj,*adiag, *bi, *bj,*garray,m=A->rmap->n,*ajj,*bjj;
745   PetscErrorCode    ierr;
746   PetscInt          rstart,nz,nza,nzb,i,j,jj,irow,countA,countB;
747   PetscInt          *row,*col;
748   const PetscScalar *av, *bv,*v1,*v2;
749   PetscScalar       *val;
750   Mat_MPIAIJ        *mat =  (Mat_MPIAIJ*)A->data;
751   Mat_SeqAIJ        *aa  =(Mat_SeqAIJ*)(mat->A)->data;
752   Mat_SeqAIJ        *bb  =(Mat_SeqAIJ*)(mat->B)->data;
753 
754   PetscFunctionBegin;
755   ai=aa->i; aj=aa->j; adiag=aa->diag;
756   bi=bb->i; bj=bb->j; garray = mat->garray;
757   av=aa->a; bv=bb->a;
758 
759   rstart = A->rmap->rstart;
760 
761   if (reuse == MAT_INITIAL_MATRIX) {
762     nza = 0;    /* num of upper triangular entries in mat->A, including diagonals */
763     nzb = 0;    /* num of upper triangular entries in mat->B */
764     for (i=0; i<m; i++) {
765       nza   += (ai[i+1] - adiag[i]);
766       countB = bi[i+1] - bi[i];
767       bjj    = bj + bi[i];
768       for (j=0; j<countB; j++) {
769         if (garray[bjj[j]] > rstart) nzb++;
770       }
771     }
772 
773     nz   = nza + nzb; /* total nz of upper triangular part of mat */
774     *nnz = nz;
775     ierr = PetscMalloc((2*nz*sizeof(PetscInt)+nz*sizeof(PetscScalar)), &row);CHKERRQ(ierr);
776     col  = row + nz;
777     val  = (PetscScalar*)(col + nz);
778 
779     *r = row; *c = col; *v = val;
780   } else {
781     row = *r; col = *c; val = *v;
782   }
783 
784   jj = 0; irow = rstart;
785   for (i=0; i<m; i++) {
786     ajj    = aj + adiag[i];                 /* ptr to the beginning of the diagonal of this row */
787     v1     = av + adiag[i];
788     countA = ai[i+1] - adiag[i];
789     countB = bi[i+1] - bi[i];
790     bjj    = bj + bi[i];
791     v2     = bv + bi[i];
792 
793     /* A-part */
794     for (j=0; j<countA; j++) {
795       if (reuse == MAT_INITIAL_MATRIX) {
796         row[jj] = irow + shift; col[jj] = rstart + ajj[j] + shift;
797       }
798       val[jj++] = v1[j];
799     }
800 
801     /* B-part */
802     for (j=0; j < countB; j++) {
803       if (garray[bjj[j]] > rstart) {
804         if (reuse == MAT_INITIAL_MATRIX) {
805           row[jj] = irow + shift; col[jj] = garray[bjj[j]] + shift;
806         }
807         val[jj++] = v2[j];
808       }
809     }
810     irow++;
811   }
812   PetscFunctionReturn(0);
813 }
814 
815 #undef __FUNCT__
816 #define __FUNCT__ "MatGetDiagonal_MUMPS"
817 PetscErrorCode MatGetDiagonal_MUMPS(Mat A,Vec v)
818 {
819   PetscFunctionBegin;
820   SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_SUP,"Mat type: MUMPS factor");
821   PetscFunctionReturn(0);
822 }
823 
824 #undef __FUNCT__
825 #define __FUNCT__ "MatDestroy_MUMPS"
826 PetscErrorCode MatDestroy_MUMPS(Mat A)
827 {
828   Mat_MUMPS      *mumps=(Mat_MUMPS*)A->spptr;
829   PetscErrorCode ierr;
830 
831   PetscFunctionBegin;
832   ierr = PetscFree2(mumps->id.sol_loc,mumps->id.isol_loc);CHKERRQ(ierr);
833   ierr = VecScatterDestroy(&mumps->scat_rhs);CHKERRQ(ierr);
834   ierr = VecScatterDestroy(&mumps->scat_sol);CHKERRQ(ierr);
835   ierr = VecDestroy(&mumps->b_seq);CHKERRQ(ierr);
836   ierr = VecDestroy(&mumps->x_seq);CHKERRQ(ierr);
837   ierr = PetscFree(mumps->id.perm_in);CHKERRQ(ierr);
838   ierr = PetscFree(mumps->irn);CHKERRQ(ierr);
839   ierr = PetscFree(mumps->info);CHKERRQ(ierr);
840   ierr = MatMumpsResetSchur_Private(mumps);CHKERRQ(ierr);
841   mumps->id.job = JOB_END;
842   PetscMUMPS_c(&mumps->id);
843   ierr = MPI_Comm_free(&mumps->comm_mumps);CHKERRQ(ierr);
844   if (mumps->Destroy) {
845     ierr = (mumps->Destroy)(A);CHKERRQ(ierr);
846   }
847   ierr = PetscFree(A->spptr);CHKERRQ(ierr);
848 
849   /* clear composed functions */
850   ierr = PetscObjectComposeFunction((PetscObject)A,"MatFactorGetSolverPackage_C",NULL);CHKERRQ(ierr);
851   ierr = PetscObjectComposeFunction((PetscObject)A,"MatFactorSetSchurIS_C",NULL);CHKERRQ(ierr);
852   ierr = PetscObjectComposeFunction((PetscObject)A,"MatFactorInvertSchurComplement_C",NULL);CHKERRQ(ierr);
853   ierr = PetscObjectComposeFunction((PetscObject)A,"MatFactorCreateSchurComplement_C",NULL);CHKERRQ(ierr);
854   ierr = PetscObjectComposeFunction((PetscObject)A,"MatFactorGetSchurComplement_C",NULL);CHKERRQ(ierr);
855   ierr = PetscObjectComposeFunction((PetscObject)A,"MatFactorSolveSchurComplement_C",NULL);CHKERRQ(ierr);
856   ierr = PetscObjectComposeFunction((PetscObject)A,"MatFactorSolveSchurComplementTranspose_C",NULL);CHKERRQ(ierr);
857   ierr = PetscObjectComposeFunction((PetscObject)A,"MatFactorFactorizeSchurComplement_C",NULL);CHKERRQ(ierr);
858   ierr = PetscObjectComposeFunction((PetscObject)A,"MatFactorSetSchurComplementSolverType_C",NULL);CHKERRQ(ierr);
859   ierr = PetscObjectComposeFunction((PetscObject)A,"MatMumpsSetIcntl_C",NULL);CHKERRQ(ierr);
860   ierr = PetscObjectComposeFunction((PetscObject)A,"MatMumpsGetIcntl_C",NULL);CHKERRQ(ierr);
861   ierr = PetscObjectComposeFunction((PetscObject)A,"MatMumpsSetCntl_C",NULL);CHKERRQ(ierr);
862   ierr = PetscObjectComposeFunction((PetscObject)A,"MatMumpsGetCntl_C",NULL);CHKERRQ(ierr);
863   ierr = PetscObjectComposeFunction((PetscObject)A,"MatMumpsGetInfo_C",NULL);CHKERRQ(ierr);
864   ierr = PetscObjectComposeFunction((PetscObject)A,"MatMumpsGetInfog_C",NULL);CHKERRQ(ierr);
865   ierr = PetscObjectComposeFunction((PetscObject)A,"MatMumpsGetRinfo_C",NULL);CHKERRQ(ierr);
866   ierr = PetscObjectComposeFunction((PetscObject)A,"MatMumpsGetRinfog_C",NULL);CHKERRQ(ierr);
867   PetscFunctionReturn(0);
868 }
869 
870 #undef __FUNCT__
871 #define __FUNCT__ "MatSolve_MUMPS"
872 PetscErrorCode MatSolve_MUMPS(Mat A,Vec b,Vec x)
873 {
874   Mat_MUMPS        *mumps=(Mat_MUMPS*)A->spptr;
875   PetscScalar      *array;
876   Vec              b_seq;
877   IS               is_iden,is_petsc;
878   PetscErrorCode   ierr;
879   PetscInt         i;
880   PetscBool        second_solve = PETSC_FALSE;
881   static PetscBool cite1 = PETSC_FALSE,cite2 = PETSC_FALSE;
882 
883   PetscFunctionBegin;
884   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);
885   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);
886   mumps->id.nrhs = 1;
887   b_seq          = mumps->b_seq;
888   if (mumps->size > 1) {
889     /* MUMPS only supports centralized rhs. Scatter b into a seqential rhs vector */
890     ierr = VecScatterBegin(mumps->scat_rhs,b,b_seq,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
891     ierr = VecScatterEnd(mumps->scat_rhs,b,b_seq,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
892     if (!mumps->myid) {ierr = VecGetArray(b_seq,&array);CHKERRQ(ierr);}
893   } else {  /* size == 1 */
894     ierr = VecCopy(b,x);CHKERRQ(ierr);
895     ierr = VecGetArray(x,&array);CHKERRQ(ierr);
896   }
897   if (!mumps->myid) { /* define rhs on the host */
898     mumps->id.nrhs = 1;
899     mumps->id.rhs = (MumpsScalar*)array;
900   }
901 
902   /*
903      handle condensation step of Schur complement (if any)
904      We set by default ICNTL(26) == -1 when Schur indices have been provided by the user.
905      According to MUMPS (5.0.0) manual, any value should be harmful during the factorization phase
906      Unless the user provides a valid value for ICNTL(26), MatSolve and MatMatSolve routines solve the full system.
907      This requires an extra call to PetscMUMPS_c and the computation of the factors for S
908   */
909   if (mumps->id.ICNTL(26) < 0 || mumps->id.ICNTL(26) > 2) {
910     second_solve = PETSC_TRUE;
911     ierr = MatMumpsHandleSchur_Private(mumps,PETSC_FALSE);CHKERRQ(ierr);
912   }
913   /* solve phase */
914   /*-------------*/
915   mumps->id.job = JOB_SOLVE;
916   PetscMUMPS_c(&mumps->id);
917   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));
918 
919   /* handle expansion step of Schur complement (if any) */
920   if (second_solve) {
921     ierr = MatMumpsHandleSchur_Private(mumps,PETSC_TRUE);CHKERRQ(ierr);
922   }
923 
924   if (mumps->size > 1) { /* convert mumps distributed solution to petsc mpi x */
925     if (mumps->scat_sol && mumps->ICNTL9_pre != mumps->id.ICNTL(9)) {
926       /* when id.ICNTL(9) changes, the contents of lsol_loc may change (not its size, lsol_loc), recreates scat_sol */
927       ierr = VecScatterDestroy(&mumps->scat_sol);CHKERRQ(ierr);
928     }
929     if (!mumps->scat_sol) { /* create scatter scat_sol */
930       ierr = ISCreateStride(PETSC_COMM_SELF,mumps->id.lsol_loc,0,1,&is_iden);CHKERRQ(ierr); /* from */
931       for (i=0; i<mumps->id.lsol_loc; i++) {
932         mumps->id.isol_loc[i] -= 1; /* change Fortran style to C style */
933       }
934       ierr = ISCreateGeneral(PETSC_COMM_SELF,mumps->id.lsol_loc,mumps->id.isol_loc,PETSC_COPY_VALUES,&is_petsc);CHKERRQ(ierr);  /* to */
935       ierr = VecScatterCreate(mumps->x_seq,is_iden,x,is_petsc,&mumps->scat_sol);CHKERRQ(ierr);
936       ierr = ISDestroy(&is_iden);CHKERRQ(ierr);
937       ierr = ISDestroy(&is_petsc);CHKERRQ(ierr);
938 
939       mumps->ICNTL9_pre = mumps->id.ICNTL(9); /* save current value of id.ICNTL(9) */
940     }
941 
942     ierr = VecScatterBegin(mumps->scat_sol,mumps->x_seq,x,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
943     ierr = VecScatterEnd(mumps->scat_sol,mumps->x_seq,x,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
944   }
945   PetscFunctionReturn(0);
946 }
947 
948 #undef __FUNCT__
949 #define __FUNCT__ "MatSolveTranspose_MUMPS"
950 PetscErrorCode MatSolveTranspose_MUMPS(Mat A,Vec b,Vec x)
951 {
952   Mat_MUMPS      *mumps=(Mat_MUMPS*)A->spptr;
953   PetscErrorCode ierr;
954 
955   PetscFunctionBegin;
956   mumps->id.ICNTL(9) = 0;
957   ierr = MatSolve_MUMPS(A,b,x);CHKERRQ(ierr);
958   mumps->id.ICNTL(9) = 1;
959   PetscFunctionReturn(0);
960 }
961 
962 #undef __FUNCT__
963 #define __FUNCT__ "MatMatSolve_MUMPS"
964 PetscErrorCode MatMatSolve_MUMPS(Mat A,Mat B,Mat X)
965 {
966   PetscErrorCode ierr;
967   PetscBool      flg;
968   Mat_MUMPS      *mumps=(Mat_MUMPS*)A->spptr;
969   PetscInt       i,nrhs,M;
970   PetscScalar    *array,*bray;
971 
972   PetscFunctionBegin;
973   ierr = PetscObjectTypeCompareAny((PetscObject)B,&flg,MATSEQDENSE,MATMPIDENSE,NULL);CHKERRQ(ierr);
974   if (!flg) SETERRQ(PetscObjectComm((PetscObject)B),PETSC_ERR_ARG_WRONG,"Matrix B must be MATDENSE matrix");
975   ierr = PetscObjectTypeCompareAny((PetscObject)X,&flg,MATSEQDENSE,MATMPIDENSE,NULL);CHKERRQ(ierr);
976   if (!flg) SETERRQ(PetscObjectComm((PetscObject)X),PETSC_ERR_ARG_WRONG,"Matrix X must be MATDENSE matrix");
977   if (B->rmap->n != X->rmap->n) SETERRQ(PetscObjectComm((PetscObject)B),PETSC_ERR_ARG_WRONG,"Matrix B and X must have same row distribution");
978 
979   ierr = MatGetSize(B,&M,&nrhs);CHKERRQ(ierr);
980   mumps->id.nrhs = nrhs;
981   mumps->id.lrhs = M;
982 
983   if (mumps->size == 1) {
984     /* copy B to X */
985     ierr = MatDenseGetArray(B,&bray);CHKERRQ(ierr);
986     ierr = MatDenseGetArray(X,&array);CHKERRQ(ierr);
987     ierr = PetscMemcpy(array,bray,M*nrhs*sizeof(PetscScalar));CHKERRQ(ierr);
988     ierr = MatDenseRestoreArray(B,&bray);CHKERRQ(ierr);
989     mumps->id.rhs = (MumpsScalar*)array;
990     /* handle condensation step of Schur complement (if any) */
991     ierr = MatMumpsHandleSchur_Private(mumps,PETSC_FALSE);CHKERRQ(ierr);
992 
993     /* solve phase */
994     /*-------------*/
995     mumps->id.job = JOB_SOLVE;
996     PetscMUMPS_c(&mumps->id);
997     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));
998 
999     /* handle expansion step of Schur complement (if any) */
1000     ierr = MatMumpsHandleSchur_Private(mumps,PETSC_TRUE);CHKERRQ(ierr);
1001     ierr = MatDenseRestoreArray(X,&array);CHKERRQ(ierr);
1002   } else {  /*--------- parallel case --------*/
1003     PetscInt       lsol_loc,nlsol_loc,*isol_loc,*idx,*iidx,*idxx,*isol_loc_save;
1004     MumpsScalar    *sol_loc,*sol_loc_save;
1005     IS             is_to,is_from;
1006     PetscInt       k,proc,j,m;
1007     const PetscInt *rstart;
1008     Vec            v_mpi,b_seq,x_seq;
1009     VecScatter     scat_rhs,scat_sol;
1010 
1011     /* create x_seq to hold local solution */
1012     isol_loc_save = mumps->id.isol_loc; /* save it for MatSovle() */
1013     sol_loc_save  = mumps->id.sol_loc;
1014 
1015     lsol_loc  = mumps->id.INFO(23);
1016     nlsol_loc = nrhs*lsol_loc;     /* length of sol_loc */
1017     ierr = PetscMalloc2(nlsol_loc,&sol_loc,nlsol_loc,&isol_loc);CHKERRQ(ierr);
1018     mumps->id.sol_loc = (MumpsScalar*)sol_loc;
1019     mumps->id.isol_loc = isol_loc;
1020 
1021     ierr = VecCreateSeqWithArray(PETSC_COMM_SELF,1,nlsol_loc,(PetscScalar*)sol_loc,&x_seq);CHKERRQ(ierr);
1022 
1023     /* copy rhs matrix B into vector v_mpi */
1024     ierr = MatGetLocalSize(B,&m,NULL);CHKERRQ(ierr);
1025     ierr = MatDenseGetArray(B,&bray);CHKERRQ(ierr);
1026     ierr = VecCreateMPIWithArray(PetscObjectComm((PetscObject)B),1,nrhs*m,nrhs*M,(const PetscScalar*)bray,&v_mpi);CHKERRQ(ierr);
1027     ierr = MatDenseRestoreArray(B,&bray);CHKERRQ(ierr);
1028 
1029     /* scatter v_mpi to b_seq because MUMPS only supports centralized rhs */
1030     /* idx: maps from k-th index of v_mpi to (i,j)-th global entry of B;
1031       iidx: inverse of idx, will be used by scattering xx_seq -> X       */
1032     ierr = PetscMalloc2(nrhs*M,&idx,nrhs*M,&iidx);CHKERRQ(ierr);
1033     ierr = MatGetOwnershipRanges(B,&rstart);CHKERRQ(ierr);
1034     k = 0;
1035     for (proc=0; proc<mumps->size; proc++){
1036       for (j=0; j<nrhs; j++){
1037         for (i=rstart[proc]; i<rstart[proc+1]; i++){
1038           iidx[j*M + i] = k;
1039           idx[k++]      = j*M + i;
1040         }
1041       }
1042     }
1043 
1044     if (!mumps->myid) {
1045       ierr = VecCreateSeq(PETSC_COMM_SELF,nrhs*M,&b_seq);CHKERRQ(ierr);
1046       ierr = ISCreateGeneral(PETSC_COMM_SELF,nrhs*M,idx,PETSC_COPY_VALUES,&is_to);CHKERRQ(ierr);
1047       ierr = ISCreateStride(PETSC_COMM_SELF,nrhs*M,0,1,&is_from);CHKERRQ(ierr);
1048     } else {
1049       ierr = VecCreateSeq(PETSC_COMM_SELF,0,&b_seq);CHKERRQ(ierr);
1050       ierr = ISCreateStride(PETSC_COMM_SELF,0,0,1,&is_to);CHKERRQ(ierr);
1051       ierr = ISCreateStride(PETSC_COMM_SELF,0,0,1,&is_from);CHKERRQ(ierr);
1052     }
1053     ierr = VecScatterCreate(v_mpi,is_from,b_seq,is_to,&scat_rhs);CHKERRQ(ierr);
1054     ierr = VecScatterBegin(scat_rhs,v_mpi,b_seq,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1055     ierr = ISDestroy(&is_to);CHKERRQ(ierr);
1056     ierr = ISDestroy(&is_from);CHKERRQ(ierr);
1057     ierr = VecScatterEnd(scat_rhs,v_mpi,b_seq,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1058 
1059     if (!mumps->myid) { /* define rhs on the host */
1060       ierr = VecGetArray(b_seq,&bray);CHKERRQ(ierr);
1061       mumps->id.rhs = (MumpsScalar*)bray;
1062       ierr = VecRestoreArray(b_seq,&bray);CHKERRQ(ierr);
1063     }
1064 
1065     /* solve phase */
1066     /*-------------*/
1067     mumps->id.job = JOB_SOLVE;
1068     PetscMUMPS_c(&mumps->id);
1069     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));
1070 
1071     /* scatter mumps distributed solution to petsc vector v_mpi, which shares local arrays with solution matrix X */
1072     ierr = MatDenseGetArray(X,&array);CHKERRQ(ierr);
1073     ierr = VecPlaceArray(v_mpi,array);CHKERRQ(ierr);
1074 
1075     /* create scatter scat_sol */
1076     ierr = PetscMalloc1(nlsol_loc,&idxx);CHKERRQ(ierr);
1077     ierr = ISCreateStride(PETSC_COMM_SELF,nlsol_loc,0,1,&is_from);CHKERRQ(ierr);
1078     for (i=0; i<lsol_loc; i++) {
1079       isol_loc[i] -= 1; /* change Fortran style to C style */
1080       idxx[i] = iidx[isol_loc[i]];
1081       for (j=1; j<nrhs; j++){
1082         idxx[j*lsol_loc+i] = iidx[isol_loc[i]+j*M];
1083       }
1084     }
1085     ierr = ISCreateGeneral(PETSC_COMM_SELF,nlsol_loc,idxx,PETSC_COPY_VALUES,&is_to);CHKERRQ(ierr);
1086     ierr = VecScatterCreate(x_seq,is_from,v_mpi,is_to,&scat_sol);CHKERRQ(ierr);
1087     ierr = VecScatterBegin(scat_sol,x_seq,v_mpi,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1088     ierr = ISDestroy(&is_from);CHKERRQ(ierr);
1089     ierr = ISDestroy(&is_to);CHKERRQ(ierr);
1090     ierr = VecScatterEnd(scat_sol,x_seq,v_mpi,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1091     ierr = MatDenseRestoreArray(X,&array);CHKERRQ(ierr);
1092 
1093     /* free spaces */
1094     mumps->id.sol_loc = sol_loc_save;
1095     mumps->id.isol_loc = isol_loc_save;
1096 
1097     ierr = PetscFree2(sol_loc,isol_loc);CHKERRQ(ierr);
1098     ierr = PetscFree2(idx,iidx);CHKERRQ(ierr);
1099     ierr = PetscFree(idxx);CHKERRQ(ierr);
1100     ierr = VecDestroy(&x_seq);CHKERRQ(ierr);
1101     ierr = VecDestroy(&v_mpi);CHKERRQ(ierr);
1102     ierr = VecDestroy(&b_seq);CHKERRQ(ierr);
1103     ierr = VecScatterDestroy(&scat_rhs);CHKERRQ(ierr);
1104     ierr = VecScatterDestroy(&scat_sol);CHKERRQ(ierr);
1105   }
1106   PetscFunctionReturn(0);
1107 }
1108 
1109 #if !defined(PETSC_USE_COMPLEX)
1110 /*
1111   input:
1112    F:        numeric factor
1113   output:
1114    nneg:     total number of negative pivots
1115    nzero:    0
1116    npos:     (global dimension of F) - nneg
1117 */
1118 
1119 #undef __FUNCT__
1120 #define __FUNCT__ "MatGetInertia_SBAIJMUMPS"
1121 PetscErrorCode MatGetInertia_SBAIJMUMPS(Mat F,int *nneg,int *nzero,int *npos)
1122 {
1123   Mat_MUMPS      *mumps =(Mat_MUMPS*)F->spptr;
1124   PetscErrorCode ierr;
1125   PetscMPIInt    size;
1126 
1127   PetscFunctionBegin;
1128   ierr = MPI_Comm_size(PetscObjectComm((PetscObject)F),&size);CHKERRQ(ierr);
1129   /* 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 */
1130   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));
1131 
1132   if (nneg) *nneg = mumps->id.INFOG(12);
1133   if (nzero || npos) {
1134     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");
1135     if (nzero) *nzero = mumps->id.INFOG(28);
1136     if (npos) *npos   = F->rmap->N - (mumps->id.INFOG(12) + mumps->id.INFOG(28));
1137   }
1138   PetscFunctionReturn(0);
1139 }
1140 #endif /* !defined(PETSC_USE_COMPLEX) */
1141 
1142 #undef __FUNCT__
1143 #define __FUNCT__ "MatFactorNumeric_MUMPS"
1144 PetscErrorCode MatFactorNumeric_MUMPS(Mat F,Mat A,const MatFactorInfo *info)
1145 {
1146   Mat_MUMPS      *mumps =(Mat_MUMPS*)(F)->spptr;
1147   PetscErrorCode ierr;
1148   Mat            F_diag;
1149   PetscBool      isMPIAIJ;
1150 
1151   PetscFunctionBegin;
1152   ierr = (*mumps->ConvertToTriples)(A, 1, MAT_REUSE_MATRIX, &mumps->nz, &mumps->irn, &mumps->jcn, &mumps->val);CHKERRQ(ierr);
1153 
1154   /* numerical factorization phase */
1155   /*-------------------------------*/
1156   mumps->id.job = JOB_FACTNUMERIC;
1157   if (!mumps->id.ICNTL(18)) { /* A is centralized */
1158     if (!mumps->myid) {
1159       mumps->id.a = (MumpsScalar*)mumps->val;
1160     }
1161   } else {
1162     mumps->id.a_loc = (MumpsScalar*)mumps->val;
1163   }
1164   PetscMUMPS_c(&mumps->id);
1165   if (mumps->id.INFOG(1) < 0) {
1166     if (mumps->id.INFO(1) == -13) {
1167       if (mumps->id.INFO(2) < 0) {
1168         SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error reported by MUMPS in numerical factorization phase: Cannot allocate required memory %d megabytes\n",-mumps->id.INFO(2));
1169       } else {
1170         SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error reported by MUMPS in numerical factorization phase: Cannot allocate required memory %d bytes\n",mumps->id.INFO(2));
1171       }
1172     } else SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error reported by MUMPS in numerical factorization phase: INFO(1)=%d, INFO(2)=%d\n",mumps->id.INFO(1),mumps->id.INFO(2));
1173   }
1174   if (!mumps->myid && mumps->id.ICNTL(16) > 0) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"  mumps->id.ICNTL(16):=%d\n",mumps->id.INFOG(16));
1175 
1176   (F)->assembled        = PETSC_TRUE;
1177   mumps->matstruc       = SAME_NONZERO_PATTERN;
1178   mumps->schur_factored = PETSC_FALSE;
1179   mumps->schur_inverted = PETSC_FALSE;
1180 
1181   /* just to be sure that ICNTL(19) value returned by a call from MatMumpsGetIcntl is always consistent */
1182   if (!mumps->sym && mumps->id.ICNTL(19) && mumps->id.ICNTL(19) != 1) mumps->id.ICNTL(19) = 3;
1183 
1184   if (mumps->size > 1) {
1185     PetscInt    lsol_loc;
1186     PetscScalar *sol_loc;
1187 
1188     ierr = PetscObjectTypeCompare((PetscObject)A,MATMPIAIJ,&isMPIAIJ);CHKERRQ(ierr);
1189     if (isMPIAIJ) F_diag = ((Mat_MPIAIJ*)(F)->data)->A;
1190     else F_diag = ((Mat_MPISBAIJ*)(F)->data)->A;
1191     F_diag->assembled = PETSC_TRUE;
1192 
1193     /* distributed solution; Create x_seq=sol_loc for repeated use */
1194     if (mumps->x_seq) {
1195       ierr = VecScatterDestroy(&mumps->scat_sol);CHKERRQ(ierr);
1196       ierr = PetscFree2(mumps->id.sol_loc,mumps->id.isol_loc);CHKERRQ(ierr);
1197       ierr = VecDestroy(&mumps->x_seq);CHKERRQ(ierr);
1198     }
1199     lsol_loc = mumps->id.INFO(23); /* length of sol_loc */
1200     ierr = PetscMalloc2(lsol_loc,&sol_loc,lsol_loc,&mumps->id.isol_loc);CHKERRQ(ierr);
1201     mumps->id.lsol_loc = lsol_loc;
1202     mumps->id.sol_loc = (MumpsScalar*)sol_loc;
1203     ierr = VecCreateSeqWithArray(PETSC_COMM_SELF,1,lsol_loc,sol_loc,&mumps->x_seq);CHKERRQ(ierr);
1204   }
1205   PetscFunctionReturn(0);
1206 }
1207 
1208 /* Sets MUMPS options from the options database */
1209 #undef __FUNCT__
1210 #define __FUNCT__ "PetscSetMUMPSFromOptions"
1211 PetscErrorCode PetscSetMUMPSFromOptions(Mat F, Mat A)
1212 {
1213   Mat_MUMPS      *mumps = (Mat_MUMPS*)F->spptr;
1214   PetscErrorCode ierr;
1215   PetscInt       icntl,info[40],i,ninfo=40;
1216   PetscBool      flg;
1217 
1218   PetscFunctionBegin;
1219   ierr = PetscOptionsBegin(PetscObjectComm((PetscObject)A),((PetscObject)A)->prefix,"MUMPS Options","Mat");CHKERRQ(ierr);
1220   ierr = PetscOptionsInt("-mat_mumps_icntl_1","ICNTL(1): output stream for error messages","None",mumps->id.ICNTL(1),&icntl,&flg);CHKERRQ(ierr);
1221   if (flg) mumps->id.ICNTL(1) = icntl;
1222   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);
1223   if (flg) mumps->id.ICNTL(2) = icntl;
1224   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);
1225   if (flg) mumps->id.ICNTL(3) = icntl;
1226 
1227   ierr = PetscOptionsInt("-mat_mumps_icntl_4","ICNTL(4): level of printing (0 to 4)","None",mumps->id.ICNTL(4),&icntl,&flg);CHKERRQ(ierr);
1228   if (flg) mumps->id.ICNTL(4) = icntl;
1229   if (mumps->id.ICNTL(4) || PetscLogPrintInfo) mumps->id.ICNTL(3) = 6; /* resume MUMPS default id.ICNTL(3) = 6 */
1230 
1231   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);
1232   if (flg) mumps->id.ICNTL(6) = icntl;
1233 
1234   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);
1235   if (flg) {
1236     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");
1237     else mumps->id.ICNTL(7) = icntl;
1238   }
1239 
1240   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);
1241   /* 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() */
1242   ierr = PetscOptionsInt("-mat_mumps_icntl_10","ICNTL(10): max num of refinements","None",mumps->id.ICNTL(10),&mumps->id.ICNTL(10),NULL);CHKERRQ(ierr);
1243   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);
1244   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);
1245   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);
1246   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);
1247   ierr = PetscOptionsInt("-mat_mumps_icntl_19","ICNTL(19): computes the Schur complement","None",mumps->id.ICNTL(19),&mumps->id.ICNTL(19),NULL);CHKERRQ(ierr);
1248   if (mumps->id.ICNTL(19) <= 0 || mumps->id.ICNTL(19) > 3) { /* reset any schur data (if any) */
1249     ierr = MatMumpsResetSchur_Private(mumps);CHKERRQ(ierr);
1250   }
1251   /* 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 */
1252   /* 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 */
1253 
1254   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);
1255   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);
1256   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);
1257   if (mumps->id.ICNTL(24)) {
1258     mumps->id.ICNTL(13) = 1; /* turn-off ScaLAPACK to help with the correct detection of null pivots */
1259   }
1260 
1261   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);
1262   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);
1263   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);
1264   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);
1265   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);
1266   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);
1267   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);
1268   /* 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 */
1269   ierr = PetscOptionsInt("-mat_mumps_icntl_33","ICNTL(33): compute determinant","None",mumps->id.ICNTL(33),&mumps->id.ICNTL(33),NULL);CHKERRQ(ierr);
1270 
1271   ierr = PetscOptionsReal("-mat_mumps_cntl_1","CNTL(1): relative pivoting threshold","None",mumps->id.CNTL(1),&mumps->id.CNTL(1),NULL);CHKERRQ(ierr);
1272   ierr = PetscOptionsReal("-mat_mumps_cntl_2","CNTL(2): stopping criterion of refinement","None",mumps->id.CNTL(2),&mumps->id.CNTL(2),NULL);CHKERRQ(ierr);
1273   ierr = PetscOptionsReal("-mat_mumps_cntl_3","CNTL(3): absolute pivoting threshold","None",mumps->id.CNTL(3),&mumps->id.CNTL(3),NULL);CHKERRQ(ierr);
1274   ierr = PetscOptionsReal("-mat_mumps_cntl_4","CNTL(4): value for static pivoting","None",mumps->id.CNTL(4),&mumps->id.CNTL(4),NULL);CHKERRQ(ierr);
1275   ierr = PetscOptionsReal("-mat_mumps_cntl_5","CNTL(5): fixation for null pivots","None",mumps->id.CNTL(5),&mumps->id.CNTL(5),NULL);CHKERRQ(ierr);
1276 
1277   ierr = PetscOptionsString("-mat_mumps_ooc_tmpdir", "out of core directory", "None", mumps->id.ooc_tmpdir, mumps->id.ooc_tmpdir, 256, NULL);
1278 
1279   ierr = PetscOptionsIntArray("-mat_mumps_view_info","request INFO local to each processor","",info,&ninfo,NULL);CHKERRQ(ierr);
1280   if (ninfo) {
1281     if (ninfo > 40) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_USER,"number of INFO %d must <= 40\n",ninfo);
1282     ierr = PetscMalloc1(ninfo,&mumps->info);CHKERRQ(ierr);
1283     mumps->ninfo = ninfo;
1284     for (i=0; i<ninfo; i++) {
1285       if (info[i] < 0 || info[i]>40) {
1286         SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_USER,"index of INFO %d must between 1 and 40\n",ninfo);
1287       } else {
1288         mumps->info[i] = info[i];
1289       }
1290     }
1291   }
1292 
1293   PetscOptionsEnd();
1294   PetscFunctionReturn(0);
1295 }
1296 
1297 #undef __FUNCT__
1298 #define __FUNCT__ "PetscInitializeMUMPS"
1299 PetscErrorCode PetscInitializeMUMPS(Mat A,Mat_MUMPS *mumps)
1300 {
1301   PetscErrorCode ierr;
1302 
1303   PetscFunctionBegin;
1304   ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)A), &mumps->myid);
1305   ierr = MPI_Comm_size(PetscObjectComm((PetscObject)A),&mumps->size);CHKERRQ(ierr);
1306   ierr = MPI_Comm_dup(PetscObjectComm((PetscObject)A),&(mumps->comm_mumps));CHKERRQ(ierr);
1307 
1308   mumps->id.comm_fortran = MPI_Comm_c2f(mumps->comm_mumps);
1309 
1310   mumps->id.job = JOB_INIT;
1311   mumps->id.par = 1;  /* host participates factorizaton and solve */
1312   mumps->id.sym = mumps->sym;
1313   PetscMUMPS_c(&mumps->id);
1314 
1315   mumps->scat_rhs     = NULL;
1316   mumps->scat_sol     = NULL;
1317 
1318   /* set PETSc-MUMPS default options - override MUMPS default */
1319   mumps->id.ICNTL(3) = 0;
1320   mumps->id.ICNTL(4) = 0;
1321   if (mumps->size == 1) {
1322     mumps->id.ICNTL(18) = 0;   /* centralized assembled matrix input */
1323   } else {
1324     mumps->id.ICNTL(18) = 3;   /* distributed assembled matrix input */
1325     mumps->id.ICNTL(20) = 0;   /* rhs is in dense format */
1326     mumps->id.ICNTL(21) = 1;   /* distributed solution */
1327   }
1328 
1329   /* schur */
1330   mumps->id.size_schur      = 0;
1331   mumps->id.listvar_schur   = NULL;
1332   mumps->id.schur           = NULL;
1333   mumps->sizeredrhs         = 0;
1334   mumps->schur_pivots       = NULL;
1335   mumps->schur_work         = NULL;
1336   mumps->schur_sol          = NULL;
1337   mumps->schur_sizesol      = 0;
1338   mumps->schur_factored     = PETSC_FALSE;
1339   mumps->schur_inverted     = PETSC_FALSE;
1340   mumps->schur_sym          = mumps->id.sym;
1341   PetscFunctionReturn(0);
1342 }
1343 
1344 /* Note Petsc r(=c) permutation is used when mumps->id.ICNTL(7)==1 with centralized assembled matrix input; otherwise r and c are ignored */
1345 #undef __FUNCT__
1346 #define __FUNCT__ "MatLUFactorSymbolic_AIJMUMPS"
1347 PetscErrorCode MatLUFactorSymbolic_AIJMUMPS(Mat F,Mat A,IS r,IS c,const MatFactorInfo *info)
1348 {
1349   Mat_MUMPS      *mumps = (Mat_MUMPS*)F->spptr;
1350   PetscErrorCode ierr;
1351   Vec            b;
1352   IS             is_iden;
1353   const PetscInt M = A->rmap->N;
1354 
1355   PetscFunctionBegin;
1356   mumps->matstruc = DIFFERENT_NONZERO_PATTERN;
1357 
1358   /* Set MUMPS options from the options database */
1359   ierr = PetscSetMUMPSFromOptions(F,A);CHKERRQ(ierr);
1360 
1361   ierr = (*mumps->ConvertToTriples)(A, 1, MAT_INITIAL_MATRIX, &mumps->nz, &mumps->irn, &mumps->jcn, &mumps->val);CHKERRQ(ierr);
1362 
1363   /* analysis phase */
1364   /*----------------*/
1365   mumps->id.job = JOB_FACTSYMBOLIC;
1366   mumps->id.n   = M;
1367   switch (mumps->id.ICNTL(18)) {
1368   case 0:  /* centralized assembled matrix input */
1369     if (!mumps->myid) {
1370       mumps->id.nz =mumps->nz; mumps->id.irn=mumps->irn; mumps->id.jcn=mumps->jcn;
1371       if (mumps->id.ICNTL(6)>1) {
1372         mumps->id.a = (MumpsScalar*)mumps->val;
1373       }
1374       if (mumps->id.ICNTL(7) == 1) { /* use user-provide matrix ordering - assuming r = c ordering */
1375         /*
1376         PetscBool      flag;
1377         ierr = ISEqual(r,c,&flag);CHKERRQ(ierr);
1378         if (!flag) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_USER,"row_perm != col_perm");
1379         ierr = ISView(r,PETSC_VIEWER_STDOUT_SELF);
1380          */
1381         if (!mumps->myid) {
1382           const PetscInt *idx;
1383           PetscInt       i,*perm_in;
1384 
1385           ierr = PetscMalloc1(M,&perm_in);CHKERRQ(ierr);
1386           ierr = ISGetIndices(r,&idx);CHKERRQ(ierr);
1387 
1388           mumps->id.perm_in = perm_in;
1389           for (i=0; i<M; i++) perm_in[i] = idx[i]+1; /* perm_in[]: start from 1, not 0! */
1390           ierr = ISRestoreIndices(r,&idx);CHKERRQ(ierr);
1391         }
1392       }
1393     }
1394     break;
1395   case 3:  /* distributed assembled matrix input (size>1) */
1396     mumps->id.nz_loc = mumps->nz;
1397     mumps->id.irn_loc=mumps->irn; mumps->id.jcn_loc=mumps->jcn;
1398     if (mumps->id.ICNTL(6)>1) {
1399       mumps->id.a_loc = (MumpsScalar*)mumps->val;
1400     }
1401     /* MUMPS only supports centralized rhs. Create scatter scat_rhs for repeated use in MatSolve() */
1402     if (!mumps->myid) {
1403       ierr = VecCreateSeq(PETSC_COMM_SELF,A->rmap->N,&mumps->b_seq);CHKERRQ(ierr);
1404       ierr = ISCreateStride(PETSC_COMM_SELF,A->rmap->N,0,1,&is_iden);CHKERRQ(ierr);
1405     } else {
1406       ierr = VecCreateSeq(PETSC_COMM_SELF,0,&mumps->b_seq);CHKERRQ(ierr);
1407       ierr = ISCreateStride(PETSC_COMM_SELF,0,0,1,&is_iden);CHKERRQ(ierr);
1408     }
1409     ierr = MatCreateVecs(A,NULL,&b);CHKERRQ(ierr);
1410     ierr = VecScatterCreate(b,is_iden,mumps->b_seq,is_iden,&mumps->scat_rhs);CHKERRQ(ierr);
1411     ierr = ISDestroy(&is_iden);CHKERRQ(ierr);
1412     ierr = VecDestroy(&b);CHKERRQ(ierr);
1413     break;
1414   }
1415   PetscMUMPS_c(&mumps->id);
1416   if (mumps->id.INFOG(1) < 0) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error reported by MUMPS in analysis phase: INFOG(1)=%d\n",mumps->id.INFOG(1));
1417 
1418   F->ops->lufactornumeric = MatFactorNumeric_MUMPS;
1419   F->ops->solve           = MatSolve_MUMPS;
1420   F->ops->solvetranspose  = MatSolveTranspose_MUMPS;
1421   F->ops->matsolve        = MatMatSolve_MUMPS;
1422   PetscFunctionReturn(0);
1423 }
1424 
1425 /* Note the Petsc r and c permutations are ignored */
1426 #undef __FUNCT__
1427 #define __FUNCT__ "MatLUFactorSymbolic_BAIJMUMPS"
1428 PetscErrorCode MatLUFactorSymbolic_BAIJMUMPS(Mat F,Mat A,IS r,IS c,const MatFactorInfo *info)
1429 {
1430   Mat_MUMPS      *mumps = (Mat_MUMPS*)F->spptr;
1431   PetscErrorCode ierr;
1432   Vec            b;
1433   IS             is_iden;
1434   const PetscInt M = A->rmap->N;
1435 
1436   PetscFunctionBegin;
1437   mumps->matstruc = DIFFERENT_NONZERO_PATTERN;
1438 
1439   /* Set MUMPS options from the options database */
1440   ierr = PetscSetMUMPSFromOptions(F,A);CHKERRQ(ierr);
1441 
1442   ierr = (*mumps->ConvertToTriples)(A, 1, MAT_INITIAL_MATRIX, &mumps->nz, &mumps->irn, &mumps->jcn, &mumps->val);CHKERRQ(ierr);
1443 
1444   /* analysis phase */
1445   /*----------------*/
1446   mumps->id.job = JOB_FACTSYMBOLIC;
1447   mumps->id.n   = M;
1448   switch (mumps->id.ICNTL(18)) {
1449   case 0:  /* centralized assembled matrix input */
1450     if (!mumps->myid) {
1451       mumps->id.nz =mumps->nz; mumps->id.irn=mumps->irn; mumps->id.jcn=mumps->jcn;
1452       if (mumps->id.ICNTL(6)>1) {
1453         mumps->id.a = (MumpsScalar*)mumps->val;
1454       }
1455     }
1456     break;
1457   case 3:  /* distributed assembled matrix input (size>1) */
1458     mumps->id.nz_loc = mumps->nz;
1459     mumps->id.irn_loc=mumps->irn; mumps->id.jcn_loc=mumps->jcn;
1460     if (mumps->id.ICNTL(6)>1) {
1461       mumps->id.a_loc = (MumpsScalar*)mumps->val;
1462     }
1463     /* MUMPS only supports centralized rhs. Create scatter scat_rhs for repeated use in MatSolve() */
1464     if (!mumps->myid) {
1465       ierr = VecCreateSeq(PETSC_COMM_SELF,A->cmap->N,&mumps->b_seq);CHKERRQ(ierr);
1466       ierr = ISCreateStride(PETSC_COMM_SELF,A->cmap->N,0,1,&is_iden);CHKERRQ(ierr);
1467     } else {
1468       ierr = VecCreateSeq(PETSC_COMM_SELF,0,&mumps->b_seq);CHKERRQ(ierr);
1469       ierr = ISCreateStride(PETSC_COMM_SELF,0,0,1,&is_iden);CHKERRQ(ierr);
1470     }
1471     ierr = MatCreateVecs(A,NULL,&b);CHKERRQ(ierr);
1472     ierr = VecScatterCreate(b,is_iden,mumps->b_seq,is_iden,&mumps->scat_rhs);CHKERRQ(ierr);
1473     ierr = ISDestroy(&is_iden);CHKERRQ(ierr);
1474     ierr = VecDestroy(&b);CHKERRQ(ierr);
1475     break;
1476   }
1477   PetscMUMPS_c(&mumps->id);
1478   if (mumps->id.INFOG(1) < 0) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error reported by MUMPS in analysis phase: INFOG(1)=%d\n",mumps->id.INFOG(1));
1479 
1480   F->ops->lufactornumeric = MatFactorNumeric_MUMPS;
1481   F->ops->solve           = MatSolve_MUMPS;
1482   F->ops->solvetranspose  = MatSolveTranspose_MUMPS;
1483   PetscFunctionReturn(0);
1484 }
1485 
1486 /* Note the Petsc r permutation and factor info are ignored */
1487 #undef __FUNCT__
1488 #define __FUNCT__ "MatCholeskyFactorSymbolic_MUMPS"
1489 PetscErrorCode MatCholeskyFactorSymbolic_MUMPS(Mat F,Mat A,IS r,const MatFactorInfo *info)
1490 {
1491   Mat_MUMPS      *mumps = (Mat_MUMPS*)F->spptr;
1492   PetscErrorCode ierr;
1493   Vec            b;
1494   IS             is_iden;
1495   const PetscInt M = A->rmap->N;
1496 
1497   PetscFunctionBegin;
1498   mumps->matstruc = DIFFERENT_NONZERO_PATTERN;
1499 
1500   /* Set MUMPS options from the options database */
1501   ierr = PetscSetMUMPSFromOptions(F,A);CHKERRQ(ierr);
1502 
1503   ierr = (*mumps->ConvertToTriples)(A, 1, MAT_INITIAL_MATRIX, &mumps->nz, &mumps->irn, &mumps->jcn, &mumps->val);CHKERRQ(ierr);
1504 
1505   /* analysis phase */
1506   /*----------------*/
1507   mumps->id.job = JOB_FACTSYMBOLIC;
1508   mumps->id.n   = M;
1509   switch (mumps->id.ICNTL(18)) {
1510   case 0:  /* centralized assembled matrix input */
1511     if (!mumps->myid) {
1512       mumps->id.nz =mumps->nz; mumps->id.irn=mumps->irn; mumps->id.jcn=mumps->jcn;
1513       if (mumps->id.ICNTL(6)>1) {
1514         mumps->id.a = (MumpsScalar*)mumps->val;
1515       }
1516     }
1517     break;
1518   case 3:  /* distributed assembled matrix input (size>1) */
1519     mumps->id.nz_loc = mumps->nz;
1520     mumps->id.irn_loc=mumps->irn; mumps->id.jcn_loc=mumps->jcn;
1521     if (mumps->id.ICNTL(6)>1) {
1522       mumps->id.a_loc = (MumpsScalar*)mumps->val;
1523     }
1524     /* MUMPS only supports centralized rhs. Create scatter scat_rhs for repeated use in MatSolve() */
1525     if (!mumps->myid) {
1526       ierr = VecCreateSeq(PETSC_COMM_SELF,A->cmap->N,&mumps->b_seq);CHKERRQ(ierr);
1527       ierr = ISCreateStride(PETSC_COMM_SELF,A->cmap->N,0,1,&is_iden);CHKERRQ(ierr);
1528     } else {
1529       ierr = VecCreateSeq(PETSC_COMM_SELF,0,&mumps->b_seq);CHKERRQ(ierr);
1530       ierr = ISCreateStride(PETSC_COMM_SELF,0,0,1,&is_iden);CHKERRQ(ierr);
1531     }
1532     ierr = MatCreateVecs(A,NULL,&b);CHKERRQ(ierr);
1533     ierr = VecScatterCreate(b,is_iden,mumps->b_seq,is_iden,&mumps->scat_rhs);CHKERRQ(ierr);
1534     ierr = ISDestroy(&is_iden);CHKERRQ(ierr);
1535     ierr = VecDestroy(&b);CHKERRQ(ierr);
1536     break;
1537   }
1538   PetscMUMPS_c(&mumps->id);
1539   if (mumps->id.INFOG(1) < 0) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error reported by MUMPS in analysis phase: INFOG(1)=%d\n",mumps->id.INFOG(1));
1540 
1541   F->ops->choleskyfactornumeric = MatFactorNumeric_MUMPS;
1542   F->ops->solve                 = MatSolve_MUMPS;
1543   F->ops->solvetranspose        = MatSolve_MUMPS;
1544   F->ops->matsolve              = MatMatSolve_MUMPS;
1545 #if defined(PETSC_USE_COMPLEX)
1546   F->ops->getinertia = NULL;
1547 #else
1548   F->ops->getinertia = MatGetInertia_SBAIJMUMPS;
1549 #endif
1550   PetscFunctionReturn(0);
1551 }
1552 
1553 #undef __FUNCT__
1554 #define __FUNCT__ "MatView_MUMPS"
1555 PetscErrorCode MatView_MUMPS(Mat A,PetscViewer viewer)
1556 {
1557   PetscErrorCode    ierr;
1558   PetscBool         iascii;
1559   PetscViewerFormat format;
1560   Mat_MUMPS         *mumps=(Mat_MUMPS*)A->spptr;
1561 
1562   PetscFunctionBegin;
1563   /* check if matrix is mumps type */
1564   if (A->ops->solve != MatSolve_MUMPS) PetscFunctionReturn(0);
1565 
1566   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&iascii);CHKERRQ(ierr);
1567   if (iascii) {
1568     ierr = PetscViewerGetFormat(viewer,&format);CHKERRQ(ierr);
1569     if (format == PETSC_VIEWER_ASCII_INFO) {
1570       ierr = PetscViewerASCIIPrintf(viewer,"MUMPS run parameters:\n");CHKERRQ(ierr);
1571       ierr = PetscViewerASCIIPrintf(viewer,"  SYM (matrix type):                   %d \n",mumps->id.sym);CHKERRQ(ierr);
1572       ierr = PetscViewerASCIIPrintf(viewer,"  PAR (host participation):            %d \n",mumps->id.par);CHKERRQ(ierr);
1573       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(1) (output for error):         %d \n",mumps->id.ICNTL(1));CHKERRQ(ierr);
1574       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(2) (output of diagnostic msg): %d \n",mumps->id.ICNTL(2));CHKERRQ(ierr);
1575       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(3) (output for global info):   %d \n",mumps->id.ICNTL(3));CHKERRQ(ierr);
1576       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(4) (level of printing):        %d \n",mumps->id.ICNTL(4));CHKERRQ(ierr);
1577       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(5) (input mat struct):         %d \n",mumps->id.ICNTL(5));CHKERRQ(ierr);
1578       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(6) (matrix prescaling):        %d \n",mumps->id.ICNTL(6));CHKERRQ(ierr);
1579       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(7) (sequentia matrix ordering):%d \n",mumps->id.ICNTL(7));CHKERRQ(ierr);
1580       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(8) (scalling strategy):        %d \n",mumps->id.ICNTL(8));CHKERRQ(ierr);
1581       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(10) (max num of refinements):  %d \n",mumps->id.ICNTL(10));CHKERRQ(ierr);
1582       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(11) (error analysis):          %d \n",mumps->id.ICNTL(11));CHKERRQ(ierr);
1583       if (mumps->id.ICNTL(11)>0) {
1584         ierr = PetscViewerASCIIPrintf(viewer,"    RINFOG(4) (inf norm of input mat):        %g\n",mumps->id.RINFOG(4));CHKERRQ(ierr);
1585         ierr = PetscViewerASCIIPrintf(viewer,"    RINFOG(5) (inf norm of solution):         %g\n",mumps->id.RINFOG(5));CHKERRQ(ierr);
1586         ierr = PetscViewerASCIIPrintf(viewer,"    RINFOG(6) (inf norm of residual):         %g\n",mumps->id.RINFOG(6));CHKERRQ(ierr);
1587         ierr = PetscViewerASCIIPrintf(viewer,"    RINFOG(7),RINFOG(8) (backward error est): %g, %g\n",mumps->id.RINFOG(7),mumps->id.RINFOG(8));CHKERRQ(ierr);
1588         ierr = PetscViewerASCIIPrintf(viewer,"    RINFOG(9) (error estimate):               %g \n",mumps->id.RINFOG(9));CHKERRQ(ierr);
1589         ierr = PetscViewerASCIIPrintf(viewer,"    RINFOG(10),RINFOG(11)(condition numbers): %g, %g\n",mumps->id.RINFOG(10),mumps->id.RINFOG(11));CHKERRQ(ierr);
1590       }
1591       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(12) (efficiency control):                         %d \n",mumps->id.ICNTL(12));CHKERRQ(ierr);
1592       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(13) (efficiency control):                         %d \n",mumps->id.ICNTL(13));CHKERRQ(ierr);
1593       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(14) (percentage of estimated workspace increase): %d \n",mumps->id.ICNTL(14));CHKERRQ(ierr);
1594       /* ICNTL(15-17) not used */
1595       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(18) (input mat struct):                           %d \n",mumps->id.ICNTL(18));CHKERRQ(ierr);
1596       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(19) (Shur complement info):                       %d \n",mumps->id.ICNTL(19));CHKERRQ(ierr);
1597       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(20) (rhs sparse pattern):                         %d \n",mumps->id.ICNTL(20));CHKERRQ(ierr);
1598       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(21) (solution struct):                            %d \n",mumps->id.ICNTL(21));CHKERRQ(ierr);
1599       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(22) (in-core/out-of-core facility):               %d \n",mumps->id.ICNTL(22));CHKERRQ(ierr);
1600       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(23) (max size of memory can be allocated locally):%d \n",mumps->id.ICNTL(23));CHKERRQ(ierr);
1601 
1602       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(24) (detection of null pivot rows):               %d \n",mumps->id.ICNTL(24));CHKERRQ(ierr);
1603       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(25) (computation of a null space basis):          %d \n",mumps->id.ICNTL(25));CHKERRQ(ierr);
1604       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(26) (Schur options for rhs or solution):          %d \n",mumps->id.ICNTL(26));CHKERRQ(ierr);
1605       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(27) (experimental parameter):                     %d \n",mumps->id.ICNTL(27));CHKERRQ(ierr);
1606       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(28) (use parallel or sequential ordering):        %d \n",mumps->id.ICNTL(28));CHKERRQ(ierr);
1607       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(29) (parallel ordering):                          %d \n",mumps->id.ICNTL(29));CHKERRQ(ierr);
1608 
1609       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(30) (user-specified set of entries in inv(A)):    %d \n",mumps->id.ICNTL(30));CHKERRQ(ierr);
1610       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(31) (factors is discarded in the solve phase):    %d \n",mumps->id.ICNTL(31));CHKERRQ(ierr);
1611       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(33) (compute determinant):                        %d \n",mumps->id.ICNTL(33));CHKERRQ(ierr);
1612 
1613       ierr = PetscViewerASCIIPrintf(viewer,"  CNTL(1) (relative pivoting threshold):      %g \n",mumps->id.CNTL(1));CHKERRQ(ierr);
1614       ierr = PetscViewerASCIIPrintf(viewer,"  CNTL(2) (stopping criterion of refinement): %g \n",mumps->id.CNTL(2));CHKERRQ(ierr);
1615       ierr = PetscViewerASCIIPrintf(viewer,"  CNTL(3) (absolute pivoting threshold):      %g \n",mumps->id.CNTL(3));CHKERRQ(ierr);
1616       ierr = PetscViewerASCIIPrintf(viewer,"  CNTL(4) (value of static pivoting):         %g \n",mumps->id.CNTL(4));CHKERRQ(ierr);
1617       ierr = PetscViewerASCIIPrintf(viewer,"  CNTL(5) (fixation for null pivots):         %g \n",mumps->id.CNTL(5));CHKERRQ(ierr);
1618 
1619       /* infomation local to each processor */
1620       ierr = PetscViewerASCIIPrintf(viewer, "  RINFO(1) (local estimated flops for the elimination after analysis): \n");CHKERRQ(ierr);
1621       ierr = PetscViewerASCIIPushSynchronized(viewer);CHKERRQ(ierr);
1622       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"    [%d] %g \n",mumps->myid,mumps->id.RINFO(1));CHKERRQ(ierr);
1623       ierr = PetscViewerFlush(viewer);
1624       ierr = PetscViewerASCIIPrintf(viewer, "  RINFO(2) (local estimated flops for the assembly after factorization): \n");CHKERRQ(ierr);
1625       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"    [%d]  %g \n",mumps->myid,mumps->id.RINFO(2));CHKERRQ(ierr);
1626       ierr = PetscViewerFlush(viewer);
1627       ierr = PetscViewerASCIIPrintf(viewer, "  RINFO(3) (local estimated flops for the elimination after factorization): \n");CHKERRQ(ierr);
1628       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"    [%d]  %g \n",mumps->myid,mumps->id.RINFO(3));CHKERRQ(ierr);
1629       ierr = PetscViewerFlush(viewer);
1630 
1631       ierr = PetscViewerASCIIPrintf(viewer, "  INFO(15) (estimated size of (in MB) MUMPS internal data for running numerical factorization): \n");CHKERRQ(ierr);
1632       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"  [%d] %d \n",mumps->myid,mumps->id.INFO(15));CHKERRQ(ierr);
1633       ierr = PetscViewerFlush(viewer);
1634 
1635       ierr = PetscViewerASCIIPrintf(viewer, "  INFO(16) (size of (in MB) MUMPS internal data used during numerical factorization): \n");CHKERRQ(ierr);
1636       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"    [%d] %d \n",mumps->myid,mumps->id.INFO(16));CHKERRQ(ierr);
1637       ierr = PetscViewerFlush(viewer);
1638 
1639       ierr = PetscViewerASCIIPrintf(viewer, "  INFO(23) (num of pivots eliminated on this processor after factorization): \n");CHKERRQ(ierr);
1640       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"    [%d] %d \n",mumps->myid,mumps->id.INFO(23));CHKERRQ(ierr);
1641       ierr = PetscViewerFlush(viewer);
1642 
1643       if (mumps->ninfo && mumps->ninfo <= 40){
1644         PetscInt i;
1645         for (i=0; i<mumps->ninfo; i++){
1646           ierr = PetscViewerASCIIPrintf(viewer, "  INFO(%d): \n",mumps->info[i]);CHKERRQ(ierr);
1647           ierr = PetscViewerASCIISynchronizedPrintf(viewer,"    [%d] %d \n",mumps->myid,mumps->id.INFO(mumps->info[i]));CHKERRQ(ierr);
1648           ierr = PetscViewerFlush(viewer);
1649         }
1650       }
1651 
1652 
1653       ierr = PetscViewerASCIIPopSynchronized(viewer);CHKERRQ(ierr);
1654 
1655       if (!mumps->myid) { /* information from the host */
1656         ierr = PetscViewerASCIIPrintf(viewer,"  RINFOG(1) (global estimated flops for the elimination after analysis): %g \n",mumps->id.RINFOG(1));CHKERRQ(ierr);
1657         ierr = PetscViewerASCIIPrintf(viewer,"  RINFOG(2) (global estimated flops for the assembly after factorization): %g \n",mumps->id.RINFOG(2));CHKERRQ(ierr);
1658         ierr = PetscViewerASCIIPrintf(viewer,"  RINFOG(3) (global estimated flops for the elimination after factorization): %g \n",mumps->id.RINFOG(3));CHKERRQ(ierr);
1659         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);
1660 
1661         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(3) (estimated real workspace for factors on all processors after analysis): %d \n",mumps->id.INFOG(3));CHKERRQ(ierr);
1662         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(4) (estimated integer workspace for factors on all processors after analysis): %d \n",mumps->id.INFOG(4));CHKERRQ(ierr);
1663         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(5) (estimated maximum front size in the complete tree): %d \n",mumps->id.INFOG(5));CHKERRQ(ierr);
1664         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(6) (number of nodes in the complete tree): %d \n",mumps->id.INFOG(6));CHKERRQ(ierr);
1665         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(7) (ordering option effectively use after analysis): %d \n",mumps->id.INFOG(7));CHKERRQ(ierr);
1666         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(8) (structural symmetry in percent of the permuted matrix after analysis): %d \n",mumps->id.INFOG(8));CHKERRQ(ierr);
1667         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(9) (total real/complex workspace to store the matrix factors after factorization): %d \n",mumps->id.INFOG(9));CHKERRQ(ierr);
1668         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(10) (total integer space store the matrix factors after factorization): %d \n",mumps->id.INFOG(10));CHKERRQ(ierr);
1669         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(11) (order of largest frontal matrix after factorization): %d \n",mumps->id.INFOG(11));CHKERRQ(ierr);
1670         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(12) (number of off-diagonal pivots): %d \n",mumps->id.INFOG(12));CHKERRQ(ierr);
1671         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(13) (number of delayed pivots after factorization): %d \n",mumps->id.INFOG(13));CHKERRQ(ierr);
1672         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(14) (number of memory compress after factorization): %d \n",mumps->id.INFOG(14));CHKERRQ(ierr);
1673         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(15) (number of steps of iterative refinement after solution): %d \n",mumps->id.INFOG(15));CHKERRQ(ierr);
1674         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);
1675         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);
1676         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);
1677         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);
1678         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(20) (estimated number of entries in the factors): %d \n",mumps->id.INFOG(20));CHKERRQ(ierr);
1679         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);
1680         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);
1681         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(23) (after analysis: value of ICNTL(6) effectively used): %d \n",mumps->id.INFOG(23));CHKERRQ(ierr);
1682         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(24) (after analysis: value of ICNTL(12) effectively used): %d \n",mumps->id.INFOG(24));CHKERRQ(ierr);
1683         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(25) (after factorization: number of pivots modified by static pivoting): %d \n",mumps->id.INFOG(25));CHKERRQ(ierr);
1684         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(28) (after factorization: number of null pivots encountered): %d\n",mumps->id.INFOG(28));CHKERRQ(ierr);
1685         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);
1686         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);
1687         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(32) (after analysis: type of analysis done): %d\n",mumps->id.INFOG(32));CHKERRQ(ierr);
1688         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(33) (value used for ICNTL(8)): %d\n",mumps->id.INFOG(33));CHKERRQ(ierr);
1689         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(34) (exponent of the determinant if determinant is requested): %d\n",mumps->id.INFOG(34));CHKERRQ(ierr);
1690       }
1691     }
1692   }
1693   PetscFunctionReturn(0);
1694 }
1695 
1696 #undef __FUNCT__
1697 #define __FUNCT__ "MatGetInfo_MUMPS"
1698 PetscErrorCode MatGetInfo_MUMPS(Mat A,MatInfoType flag,MatInfo *info)
1699 {
1700   Mat_MUMPS *mumps =(Mat_MUMPS*)A->spptr;
1701 
1702   PetscFunctionBegin;
1703   info->block_size        = 1.0;
1704   info->nz_allocated      = mumps->id.INFOG(20);
1705   info->nz_used           = mumps->id.INFOG(20);
1706   info->nz_unneeded       = 0.0;
1707   info->assemblies        = 0.0;
1708   info->mallocs           = 0.0;
1709   info->memory            = 0.0;
1710   info->fill_ratio_given  = 0;
1711   info->fill_ratio_needed = 0;
1712   info->factor_mallocs    = 0;
1713   PetscFunctionReturn(0);
1714 }
1715 
1716 /* -------------------------------------------------------------------------------------------*/
1717 #undef __FUNCT__
1718 #define __FUNCT__ "MatFactorSetSchurIS_MUMPS"
1719 PetscErrorCode MatFactorSetSchurIS_MUMPS(Mat F, IS is)
1720 {
1721   Mat_MUMPS      *mumps =(Mat_MUMPS*)F->spptr;
1722   const PetscInt *idxs;
1723   PetscInt       size,i;
1724   PetscErrorCode ierr;
1725 
1726   PetscFunctionBegin;
1727   if (mumps->size > 1) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"MUMPS parallel Schur complements not yet supported from PETSc\n");
1728   ierr = ISGetLocalSize(is,&size);CHKERRQ(ierr);
1729   if (mumps->id.size_schur != size) {
1730     ierr = PetscFree2(mumps->id.listvar_schur,mumps->id.schur);CHKERRQ(ierr);
1731     mumps->id.size_schur = size;
1732     mumps->id.schur_lld = size;
1733     ierr = PetscMalloc2(size,&mumps->id.listvar_schur,size*size,&mumps->id.schur);CHKERRQ(ierr);
1734   }
1735   ierr = ISGetIndices(is,&idxs);CHKERRQ(ierr);
1736   ierr = PetscMemcpy(mumps->id.listvar_schur,idxs,size*sizeof(PetscInt));CHKERRQ(ierr);
1737   /* MUMPS expects Fortran style indices */
1738   for (i=0;i<size;i++) mumps->id.listvar_schur[i]++;
1739   ierr = ISRestoreIndices(is,&idxs);CHKERRQ(ierr);
1740   if (size) { /* turn on Schur switch if we the set of indices is not empty */
1741     if (F->factortype == MAT_FACTOR_LU) {
1742       mumps->id.ICNTL(19) = 3; /* MUMPS returns full matrix */
1743     } else {
1744       mumps->id.ICNTL(19) = 2; /* MUMPS returns lower triangular part */
1745     }
1746     /* set a special value of ICNTL (not handled my MUMPS) to be used in the solve phase by PETSc */
1747     mumps->id.ICNTL(26) = -1;
1748   }
1749   PetscFunctionReturn(0);
1750 }
1751 
1752 /* -------------------------------------------------------------------------------------------*/
1753 #undef __FUNCT__
1754 #define __FUNCT__ "MatFactorCreateSchurComplement_MUMPS"
1755 PetscErrorCode MatFactorCreateSchurComplement_MUMPS(Mat F,Mat* S)
1756 {
1757   Mat            St;
1758   Mat_MUMPS      *mumps =(Mat_MUMPS*)F->spptr;
1759   PetscScalar    *array;
1760 #if defined(PETSC_USE_COMPLEX)
1761   PetscScalar    im = PetscSqrtScalar((PetscScalar)-1.0);
1762 #endif
1763   PetscErrorCode ierr;
1764 
1765   PetscFunctionBegin;
1766   if (!mumps->id.ICNTL(19)) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur complement mode not selected! You should call MatFactorSetSchurIS to enable it");
1767   else if (!mumps->id.size_schur) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur indices not set! You should call MatFactorSetSchurIS before");
1768 
1769   ierr = MatCreate(PetscObjectComm((PetscObject)F),&St);CHKERRQ(ierr);
1770   ierr = MatSetSizes(St,PETSC_DECIDE,PETSC_DECIDE,mumps->id.size_schur,mumps->id.size_schur);CHKERRQ(ierr);
1771   ierr = MatSetType(St,MATDENSE);CHKERRQ(ierr);
1772   ierr = MatSetUp(St);CHKERRQ(ierr);
1773   ierr = MatDenseGetArray(St,&array);CHKERRQ(ierr);
1774   if (!mumps->sym) { /* MUMPS always return a full matrix */
1775     if (mumps->id.ICNTL(19) == 1) { /* stored by rows */
1776       PetscInt i,j,N=mumps->id.size_schur;
1777       for (i=0;i<N;i++) {
1778         for (j=0;j<N;j++) {
1779 #if !defined(PETSC_USE_COMPLEX)
1780           PetscScalar val = mumps->id.schur[i*N+j];
1781 #else
1782           PetscScalar val = mumps->id.schur[i*N+j].r + im*mumps->id.schur[i*N+j].i;
1783 #endif
1784           array[j*N+i] = val;
1785         }
1786       }
1787     } else { /* stored by columns */
1788       ierr = PetscMemcpy(array,mumps->id.schur,mumps->id.size_schur*mumps->id.size_schur*sizeof(PetscScalar));CHKERRQ(ierr);
1789     }
1790   } else { /* either full or lower-triangular (not packed) */
1791     if (mumps->id.ICNTL(19) == 2) { /* lower triangular stored by columns */
1792       PetscInt i,j,N=mumps->id.size_schur;
1793       for (i=0;i<N;i++) {
1794         for (j=i;j<N;j++) {
1795 #if !defined(PETSC_USE_COMPLEX)
1796           PetscScalar val = mumps->id.schur[i*N+j];
1797 #else
1798           PetscScalar val = mumps->id.schur[i*N+j].r + im*mumps->id.schur[i*N+j].i;
1799 #endif
1800           array[i*N+j] = val;
1801           array[j*N+i] = val;
1802         }
1803       }
1804     } else if (mumps->id.ICNTL(19) == 3) { /* full matrix */
1805       ierr = PetscMemcpy(array,mumps->id.schur,mumps->id.size_schur*mumps->id.size_schur*sizeof(PetscScalar));CHKERRQ(ierr);
1806     } else { /* ICNTL(19) == 1 lower triangular stored by rows */
1807       PetscInt i,j,N=mumps->id.size_schur;
1808       for (i=0;i<N;i++) {
1809         for (j=0;j<i+1;j++) {
1810 #if !defined(PETSC_USE_COMPLEX)
1811           PetscScalar val = mumps->id.schur[i*N+j];
1812 #else
1813           PetscScalar val = mumps->id.schur[i*N+j].r + im*mumps->id.schur[i*N+j].i;
1814 #endif
1815           array[i*N+j] = val;
1816           array[j*N+i] = val;
1817         }
1818       }
1819     }
1820   }
1821   ierr = MatDenseRestoreArray(St,&array);CHKERRQ(ierr);
1822   *S = St;
1823   PetscFunctionReturn(0);
1824 }
1825 
1826 /* -------------------------------------------------------------------------------------------*/
1827 #undef __FUNCT__
1828 #define __FUNCT__ "MatFactorGetSchurComplement_MUMPS"
1829 PetscErrorCode MatFactorGetSchurComplement_MUMPS(Mat F,Mat* S)
1830 {
1831   Mat            St;
1832   Mat_MUMPS      *mumps =(Mat_MUMPS*)F->spptr;
1833   PetscErrorCode ierr;
1834 
1835   PetscFunctionBegin;
1836   if (!mumps->id.ICNTL(19)) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur complement mode not selected! You should call MatFactorSetSchurIS to enable it");
1837   else if (!mumps->id.size_schur) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur indices not set! You should call MatFactorSetSchurIS before");
1838 
1839   /* 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 */
1840   ierr = MatCreateSeqDense(PetscObjectComm((PetscObject)F),mumps->id.size_schur,mumps->id.size_schur,(PetscScalar*)mumps->id.schur,&St);CHKERRQ(ierr);
1841   *S = St;
1842   PetscFunctionReturn(0);
1843 }
1844 
1845 /* -------------------------------------------------------------------------------------------*/
1846 #undef __FUNCT__
1847 #define __FUNCT__ "MatFactorFactorizeSchurComplement_MUMPS"
1848 PetscErrorCode MatFactorFactorizeSchurComplement_MUMPS(Mat F)
1849 {
1850   Mat_MUMPS      *mumps =(Mat_MUMPS*)F->spptr;
1851   PetscErrorCode ierr;
1852 
1853   PetscFunctionBegin;
1854   if (!mumps->id.ICNTL(19)) { /* do nothing */
1855     PetscFunctionReturn(0);
1856   }
1857   if (!mumps->id.size_schur) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur indices not set! You should call MatMumpsSetSchurIndices before");
1858   ierr = MatMumpsFactorSchur_Private(mumps);CHKERRQ(ierr);
1859   PetscFunctionReturn(0);
1860 }
1861 
1862 #undef __FUNCT__
1863 #define __FUNCT__ "MatFactorInvertSchurComplement_MUMPS"
1864 PetscErrorCode MatFactorInvertSchurComplement_MUMPS(Mat F)
1865 {
1866   Mat_MUMPS      *mumps =(Mat_MUMPS*)F->spptr;
1867   PetscErrorCode ierr;
1868 
1869   PetscFunctionBegin;
1870   if (!mumps->id.ICNTL(19)) { /* do nothing */
1871     PetscFunctionReturn(0);
1872   }
1873   if (!mumps->id.size_schur) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur indices not set! You should call MatFactorSetSchurIS before");
1874   ierr = MatMumpsInvertSchur_Private(mumps);CHKERRQ(ierr);
1875   PetscFunctionReturn(0);
1876 }
1877 
1878 /* -------------------------------------------------------------------------------------------*/
1879 #undef __FUNCT__
1880 #define __FUNCT__ "MatFactorSolveSchurComplement_MUMPS"
1881 PetscErrorCode MatFactorSolveSchurComplement_MUMPS(Mat F, Vec rhs, Vec sol)
1882 {
1883   Mat_MUMPS      *mumps =(Mat_MUMPS*)F->spptr;
1884   MumpsScalar    *orhs;
1885   PetscScalar    *osol,*nrhs,*nsol;
1886   PetscInt       orhs_size,osol_size,olrhs_size;
1887   PetscErrorCode ierr;
1888 
1889   PetscFunctionBegin;
1890   if (!mumps->id.ICNTL(19)) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur complement mode not selected! You should call MatFactorSetSchurIS to enable it");
1891   if (!mumps->id.size_schur) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur indices not set! You should call MatFactorSetSchurIS before");
1892 
1893   /* swap pointers */
1894   orhs = mumps->id.redrhs;
1895   olrhs_size = mumps->id.lredrhs;
1896   orhs_size = mumps->sizeredrhs;
1897   osol = mumps->schur_sol;
1898   osol_size = mumps->schur_sizesol;
1899   ierr = VecGetArray(rhs,&nrhs);CHKERRQ(ierr);
1900   ierr = VecGetArray(sol,&nsol);CHKERRQ(ierr);
1901   mumps->id.redrhs = (MumpsScalar*)nrhs;
1902   ierr = VecGetLocalSize(rhs,&mumps->sizeredrhs);CHKERRQ(ierr);
1903   mumps->id.lredrhs = mumps->sizeredrhs;
1904   mumps->schur_sol = nsol;
1905   ierr = VecGetLocalSize(sol,&mumps->schur_sizesol);CHKERRQ(ierr);
1906 
1907   /* solve Schur complement */
1908   mumps->id.nrhs = 1;
1909   ierr = MatMumpsSolveSchur_Private(mumps,PETSC_FALSE);CHKERRQ(ierr);
1910   /* restore pointers */
1911   ierr = VecRestoreArray(rhs,&nrhs);CHKERRQ(ierr);
1912   ierr = VecRestoreArray(sol,&nsol);CHKERRQ(ierr);
1913   mumps->id.redrhs = orhs;
1914   mumps->id.lredrhs = olrhs_size;
1915   mumps->sizeredrhs = orhs_size;
1916   mumps->schur_sol = osol;
1917   mumps->schur_sizesol = osol_size;
1918   PetscFunctionReturn(0);
1919 }
1920 
1921 /* -------------------------------------------------------------------------------------------*/
1922 #undef __FUNCT__
1923 #define __FUNCT__ "MatFactorSolveSchurComplementTranspose_MUMPS"
1924 PetscErrorCode MatFactorSolveSchurComplementTranspose_MUMPS(Mat F, Vec rhs, Vec sol)
1925 {
1926   Mat_MUMPS      *mumps =(Mat_MUMPS*)F->spptr;
1927   MumpsScalar    *orhs;
1928   PetscScalar    *osol,*nrhs,*nsol;
1929   PetscInt       orhs_size,osol_size;
1930   PetscErrorCode ierr;
1931 
1932   PetscFunctionBegin;
1933   if (!mumps->id.ICNTL(19)) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur complement mode not selected! You should call MatFactorSetSchurIS to enable it");
1934   else if (!mumps->id.size_schur) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur indices not set! You should call MatFactorSetSchurIS before");
1935 
1936   /* swap pointers */
1937   orhs = mumps->id.redrhs;
1938   orhs_size = mumps->sizeredrhs;
1939   osol = mumps->schur_sol;
1940   osol_size = mumps->schur_sizesol;
1941   ierr = VecGetArray(rhs,&nrhs);CHKERRQ(ierr);
1942   ierr = VecGetArray(sol,&nsol);CHKERRQ(ierr);
1943   mumps->id.redrhs = (MumpsScalar*)nrhs;
1944   ierr = VecGetLocalSize(rhs,&mumps->sizeredrhs);CHKERRQ(ierr);
1945   mumps->schur_sol = nsol;
1946   ierr = VecGetLocalSize(sol,&mumps->schur_sizesol);CHKERRQ(ierr);
1947 
1948   /* solve Schur complement */
1949   mumps->id.nrhs = 1;
1950   mumps->id.ICNTL(9) = 0;
1951   ierr = MatMumpsSolveSchur_Private(mumps,PETSC_FALSE);CHKERRQ(ierr);
1952   mumps->id.ICNTL(9) = 1;
1953   /* restore pointers */
1954   ierr = VecRestoreArray(rhs,&nrhs);CHKERRQ(ierr);
1955   ierr = VecRestoreArray(sol,&nsol);CHKERRQ(ierr);
1956   mumps->id.redrhs = orhs;
1957   mumps->sizeredrhs = orhs_size;
1958   mumps->schur_sol = osol;
1959   mumps->schur_sizesol = osol_size;
1960   PetscFunctionReturn(0);
1961 }
1962 
1963 /* -------------------------------------------------------------------------------------------*/
1964 #undef __FUNCT__
1965 #define __FUNCT__ "MatFactorSetSchurComplementSolverType_MUMPS"
1966 PetscErrorCode MatFactorSetSchurComplementSolverType_MUMPS(Mat F, PetscInt sym)
1967 {
1968   Mat_MUMPS *mumps =(Mat_MUMPS*)F->spptr;
1969 
1970   PetscFunctionBegin;
1971   if (mumps->schur_factored && mumps->sym != mumps->schur_sym) {
1972     SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ARG_WRONG,"Cannot change the Schur solver! Schur complement data has been already factored");
1973   }
1974   mumps->schur_sym = sym;
1975   PetscFunctionReturn(0);
1976 }
1977 
1978 /* -------------------------------------------------------------------------------------------*/
1979 #undef __FUNCT__
1980 #define __FUNCT__ "MatMumpsSetIcntl_MUMPS"
1981 PetscErrorCode MatMumpsSetIcntl_MUMPS(Mat F,PetscInt icntl,PetscInt ival)
1982 {
1983   Mat_MUMPS *mumps =(Mat_MUMPS*)F->spptr;
1984 
1985   PetscFunctionBegin;
1986   mumps->id.ICNTL(icntl) = ival;
1987   PetscFunctionReturn(0);
1988 }
1989 
1990 #undef __FUNCT__
1991 #define __FUNCT__ "MatMumpsGetIcntl_MUMPS"
1992 PetscErrorCode MatMumpsGetIcntl_MUMPS(Mat F,PetscInt icntl,PetscInt *ival)
1993 {
1994   Mat_MUMPS *mumps =(Mat_MUMPS*)F->spptr;
1995 
1996   PetscFunctionBegin;
1997   *ival = mumps->id.ICNTL(icntl);
1998   PetscFunctionReturn(0);
1999 }
2000 
2001 #undef __FUNCT__
2002 #define __FUNCT__ "MatMumpsSetIcntl"
2003 /*@
2004   MatMumpsSetIcntl - Set MUMPS parameter ICNTL()
2005 
2006    Logically Collective on Mat
2007 
2008    Input Parameters:
2009 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
2010 .  icntl - index of MUMPS parameter array ICNTL()
2011 -  ival - value of MUMPS ICNTL(icntl)
2012 
2013   Options Database:
2014 .   -mat_mumps_icntl_<icntl> <ival>
2015 
2016    Level: beginner
2017 
2018    References: MUMPS Users' Guide
2019 
2020 .seealso: MatGetFactor()
2021 @*/
2022 PetscErrorCode MatMumpsSetIcntl(Mat F,PetscInt icntl,PetscInt ival)
2023 {
2024   PetscErrorCode ierr;
2025 
2026   PetscFunctionBegin;
2027   PetscValidLogicalCollectiveInt(F,icntl,2);
2028   PetscValidLogicalCollectiveInt(F,ival,3);
2029   ierr = PetscTryMethod(F,"MatMumpsSetIcntl_C",(Mat,PetscInt,PetscInt),(F,icntl,ival));CHKERRQ(ierr);
2030   PetscFunctionReturn(0);
2031 }
2032 
2033 #undef __FUNCT__
2034 #define __FUNCT__ "MatMumpsGetIcntl"
2035 /*@
2036   MatMumpsGetIcntl - Get MUMPS parameter ICNTL()
2037 
2038    Logically Collective on Mat
2039 
2040    Input Parameters:
2041 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
2042 -  icntl - index of MUMPS parameter array ICNTL()
2043 
2044   Output Parameter:
2045 .  ival - value of MUMPS ICNTL(icntl)
2046 
2047    Level: beginner
2048 
2049    References: MUMPS Users' Guide
2050 
2051 .seealso: MatGetFactor()
2052 @*/
2053 PetscErrorCode MatMumpsGetIcntl(Mat F,PetscInt icntl,PetscInt *ival)
2054 {
2055   PetscErrorCode ierr;
2056 
2057   PetscFunctionBegin;
2058   PetscValidLogicalCollectiveInt(F,icntl,2);
2059   PetscValidIntPointer(ival,3);
2060   ierr = PetscTryMethod(F,"MatMumpsGetIcntl_C",(Mat,PetscInt,PetscInt*),(F,icntl,ival));CHKERRQ(ierr);
2061   PetscFunctionReturn(0);
2062 }
2063 
2064 /* -------------------------------------------------------------------------------------------*/
2065 #undef __FUNCT__
2066 #define __FUNCT__ "MatMumpsSetCntl_MUMPS"
2067 PetscErrorCode MatMumpsSetCntl_MUMPS(Mat F,PetscInt icntl,PetscReal val)
2068 {
2069   Mat_MUMPS *mumps =(Mat_MUMPS*)F->spptr;
2070 
2071   PetscFunctionBegin;
2072   mumps->id.CNTL(icntl) = val;
2073   PetscFunctionReturn(0);
2074 }
2075 
2076 #undef __FUNCT__
2077 #define __FUNCT__ "MatMumpsGetCntl_MUMPS"
2078 PetscErrorCode MatMumpsGetCntl_MUMPS(Mat F,PetscInt icntl,PetscReal *val)
2079 {
2080   Mat_MUMPS *mumps =(Mat_MUMPS*)F->spptr;
2081 
2082   PetscFunctionBegin;
2083   *val = mumps->id.CNTL(icntl);
2084   PetscFunctionReturn(0);
2085 }
2086 
2087 #undef __FUNCT__
2088 #define __FUNCT__ "MatMumpsSetCntl"
2089 /*@
2090   MatMumpsSetCntl - Set MUMPS parameter CNTL()
2091 
2092    Logically Collective on Mat
2093 
2094    Input Parameters:
2095 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
2096 .  icntl - index of MUMPS parameter array CNTL()
2097 -  val - value of MUMPS CNTL(icntl)
2098 
2099   Options Database:
2100 .   -mat_mumps_cntl_<icntl> <val>
2101 
2102    Level: beginner
2103 
2104    References: MUMPS Users' Guide
2105 
2106 .seealso: MatGetFactor()
2107 @*/
2108 PetscErrorCode MatMumpsSetCntl(Mat F,PetscInt icntl,PetscReal val)
2109 {
2110   PetscErrorCode ierr;
2111 
2112   PetscFunctionBegin;
2113   PetscValidLogicalCollectiveInt(F,icntl,2);
2114   PetscValidLogicalCollectiveReal(F,val,3);
2115   ierr = PetscTryMethod(F,"MatMumpsSetCntl_C",(Mat,PetscInt,PetscReal),(F,icntl,val));CHKERRQ(ierr);
2116   PetscFunctionReturn(0);
2117 }
2118 
2119 #undef __FUNCT__
2120 #define __FUNCT__ "MatMumpsGetCntl"
2121 /*@
2122   MatMumpsGetCntl - Get MUMPS parameter CNTL()
2123 
2124    Logically Collective on Mat
2125 
2126    Input Parameters:
2127 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
2128 -  icntl - index of MUMPS parameter array CNTL()
2129 
2130   Output Parameter:
2131 .  val - value of MUMPS CNTL(icntl)
2132 
2133    Level: beginner
2134 
2135    References: MUMPS Users' Guide
2136 
2137 .seealso: MatGetFactor()
2138 @*/
2139 PetscErrorCode MatMumpsGetCntl(Mat F,PetscInt icntl,PetscReal *val)
2140 {
2141   PetscErrorCode ierr;
2142 
2143   PetscFunctionBegin;
2144   PetscValidLogicalCollectiveInt(F,icntl,2);
2145   PetscValidRealPointer(val,3);
2146   ierr = PetscTryMethod(F,"MatMumpsGetCntl_C",(Mat,PetscInt,PetscReal*),(F,icntl,val));CHKERRQ(ierr);
2147   PetscFunctionReturn(0);
2148 }
2149 
2150 #undef __FUNCT__
2151 #define __FUNCT__ "MatMumpsGetInfo_MUMPS"
2152 PetscErrorCode MatMumpsGetInfo_MUMPS(Mat F,PetscInt icntl,PetscInt *info)
2153 {
2154   Mat_MUMPS *mumps =(Mat_MUMPS*)F->spptr;
2155 
2156   PetscFunctionBegin;
2157   *info = mumps->id.INFO(icntl);
2158   PetscFunctionReturn(0);
2159 }
2160 
2161 #undef __FUNCT__
2162 #define __FUNCT__ "MatMumpsGetInfog_MUMPS"
2163 PetscErrorCode MatMumpsGetInfog_MUMPS(Mat F,PetscInt icntl,PetscInt *infog)
2164 {
2165   Mat_MUMPS *mumps =(Mat_MUMPS*)F->spptr;
2166 
2167   PetscFunctionBegin;
2168   *infog = mumps->id.INFOG(icntl);
2169   PetscFunctionReturn(0);
2170 }
2171 
2172 #undef __FUNCT__
2173 #define __FUNCT__ "MatMumpsGetRinfo_MUMPS"
2174 PetscErrorCode MatMumpsGetRinfo_MUMPS(Mat F,PetscInt icntl,PetscReal *rinfo)
2175 {
2176   Mat_MUMPS *mumps =(Mat_MUMPS*)F->spptr;
2177 
2178   PetscFunctionBegin;
2179   *rinfo = mumps->id.RINFO(icntl);
2180   PetscFunctionReturn(0);
2181 }
2182 
2183 #undef __FUNCT__
2184 #define __FUNCT__ "MatMumpsGetRinfog_MUMPS"
2185 PetscErrorCode MatMumpsGetRinfog_MUMPS(Mat F,PetscInt icntl,PetscReal *rinfog)
2186 {
2187   Mat_MUMPS *mumps =(Mat_MUMPS*)F->spptr;
2188 
2189   PetscFunctionBegin;
2190   *rinfog = mumps->id.RINFOG(icntl);
2191   PetscFunctionReturn(0);
2192 }
2193 
2194 #undef __FUNCT__
2195 #define __FUNCT__ "MatMumpsGetInfo"
2196 /*@
2197   MatMumpsGetInfo - Get MUMPS parameter INFO()
2198 
2199    Logically Collective on Mat
2200 
2201    Input Parameters:
2202 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
2203 -  icntl - index of MUMPS parameter array INFO()
2204 
2205   Output Parameter:
2206 .  ival - value of MUMPS INFO(icntl)
2207 
2208    Level: beginner
2209 
2210    References: MUMPS Users' Guide
2211 
2212 .seealso: MatGetFactor()
2213 @*/
2214 PetscErrorCode MatMumpsGetInfo(Mat F,PetscInt icntl,PetscInt *ival)
2215 {
2216   PetscErrorCode ierr;
2217 
2218   PetscFunctionBegin;
2219   PetscValidIntPointer(ival,3);
2220   ierr = PetscTryMethod(F,"MatMumpsGetInfo_C",(Mat,PetscInt,PetscInt*),(F,icntl,ival));CHKERRQ(ierr);
2221   PetscFunctionReturn(0);
2222 }
2223 
2224 #undef __FUNCT__
2225 #define __FUNCT__ "MatMumpsGetInfog"
2226 /*@
2227   MatMumpsGetInfog - Get MUMPS parameter INFOG()
2228 
2229    Logically Collective on Mat
2230 
2231    Input Parameters:
2232 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
2233 -  icntl - index of MUMPS parameter array INFOG()
2234 
2235   Output Parameter:
2236 .  ival - value of MUMPS INFOG(icntl)
2237 
2238    Level: beginner
2239 
2240    References: MUMPS Users' Guide
2241 
2242 .seealso: MatGetFactor()
2243 @*/
2244 PetscErrorCode MatMumpsGetInfog(Mat F,PetscInt icntl,PetscInt *ival)
2245 {
2246   PetscErrorCode ierr;
2247 
2248   PetscFunctionBegin;
2249   PetscValidIntPointer(ival,3);
2250   ierr = PetscTryMethod(F,"MatMumpsGetInfog_C",(Mat,PetscInt,PetscInt*),(F,icntl,ival));CHKERRQ(ierr);
2251   PetscFunctionReturn(0);
2252 }
2253 
2254 #undef __FUNCT__
2255 #define __FUNCT__ "MatMumpsGetRinfo"
2256 /*@
2257   MatMumpsGetRinfo - Get MUMPS parameter RINFO()
2258 
2259    Logically Collective on Mat
2260 
2261    Input Parameters:
2262 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
2263 -  icntl - index of MUMPS parameter array RINFO()
2264 
2265   Output Parameter:
2266 .  val - value of MUMPS RINFO(icntl)
2267 
2268    Level: beginner
2269 
2270    References: MUMPS Users' Guide
2271 
2272 .seealso: MatGetFactor()
2273 @*/
2274 PetscErrorCode MatMumpsGetRinfo(Mat F,PetscInt icntl,PetscReal *val)
2275 {
2276   PetscErrorCode ierr;
2277 
2278   PetscFunctionBegin;
2279   PetscValidRealPointer(val,3);
2280   ierr = PetscTryMethod(F,"MatMumpsGetRinfo_C",(Mat,PetscInt,PetscReal*),(F,icntl,val));CHKERRQ(ierr);
2281   PetscFunctionReturn(0);
2282 }
2283 
2284 #undef __FUNCT__
2285 #define __FUNCT__ "MatMumpsGetRinfog"
2286 /*@
2287   MatMumpsGetRinfog - Get MUMPS parameter RINFOG()
2288 
2289    Logically Collective on Mat
2290 
2291    Input Parameters:
2292 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
2293 -  icntl - index of MUMPS parameter array RINFOG()
2294 
2295   Output Parameter:
2296 .  val - value of MUMPS RINFOG(icntl)
2297 
2298    Level: beginner
2299 
2300    References: MUMPS Users' Guide
2301 
2302 .seealso: MatGetFactor()
2303 @*/
2304 PetscErrorCode MatMumpsGetRinfog(Mat F,PetscInt icntl,PetscReal *val)
2305 {
2306   PetscErrorCode ierr;
2307 
2308   PetscFunctionBegin;
2309   PetscValidRealPointer(val,3);
2310   ierr = PetscTryMethod(F,"MatMumpsGetRinfog_C",(Mat,PetscInt,PetscReal*),(F,icntl,val));CHKERRQ(ierr);
2311   PetscFunctionReturn(0);
2312 }
2313 
2314 /*MC
2315   MATSOLVERMUMPS -  A matrix type providing direct solvers (LU and Cholesky) for
2316   distributed and sequential matrices via the external package MUMPS.
2317 
2318   Works with MATAIJ and MATSBAIJ matrices
2319 
2320   Use ./configure --download-mumps --download-scalapack --download-parmetis --download-metis --download-ptscotch  to have PETSc installed with MUMPS
2321 
2322   Use -pc_type cholesky or lu -pc_factor_mat_solver_package mumps to us this direct solver
2323 
2324   Options Database Keys:
2325 +  -mat_mumps_icntl_1 <6>: ICNTL(1): output stream for error messages (None)
2326 .  -mat_mumps_icntl_2 <0>: ICNTL(2): output stream for diagnostic printing, statistics, and warning (None)
2327 .  -mat_mumps_icntl_3 <0>: ICNTL(3): output stream for global information, collected on the host (None)
2328 .  -mat_mumps_icntl_4 <0>: ICNTL(4): level of printing (0 to 4) (None)
2329 .  -mat_mumps_icntl_6 <7>: ICNTL(6): permutes to a zero-free diagonal and/or scale the matrix (0 to 7) (None)
2330 .  -mat_mumps_icntl_7 <7>: ICNTL(7): computes a symmetric permutation in sequential analysis (0 to 7). 3=Scotch, 4=PORD, 5=Metis (None)
2331 .  -mat_mumps_icntl_8 <77>: ICNTL(8): scaling strategy (-2 to 8 or 77) (None)
2332 .  -mat_mumps_icntl_10 <0>: ICNTL(10): max num of refinements (None)
2333 .  -mat_mumps_icntl_11 <0>: ICNTL(11): statistics related to an error analysis (via -ksp_view) (None)
2334 .  -mat_mumps_icntl_12 <1>: ICNTL(12): an ordering strategy for symmetric matrices (0 to 3) (None)
2335 .  -mat_mumps_icntl_13 <0>: ICNTL(13): parallelism of the root node (enable ScaLAPACK) and its splitting (None)
2336 .  -mat_mumps_icntl_14 <20>: ICNTL(14): percentage increase in the estimated working space (None)
2337 .  -mat_mumps_icntl_19 <0>: ICNTL(19): computes the Schur complement (None)
2338 .  -mat_mumps_icntl_22 <0>: ICNTL(22): in-core/out-of-core factorization and solve (0 or 1) (None)
2339 .  -mat_mumps_icntl_23 <0>: ICNTL(23): max size of the working memory (MB) that can allocate per processor (None)
2340 .  -mat_mumps_icntl_24 <0>: ICNTL(24): detection of null pivot rows (0 or 1) (None)
2341 .  -mat_mumps_icntl_25 <0>: ICNTL(25): compute a solution of a deficient matrix and a null space basis (None)
2342 .  -mat_mumps_icntl_26 <0>: ICNTL(26): drives the solution phase if a Schur complement matrix (None)
2343 .  -mat_mumps_icntl_28 <1>: ICNTL(28): use 1 for sequential analysis and ictnl(7) ordering, or 2 for parallel analysis and ictnl(29) ordering (None)
2344 .  -mat_mumps_icntl_29 <0>: ICNTL(29): parallel ordering 1 = ptscotch, 2 = parmetis (None)
2345 .  -mat_mumps_icntl_30 <0>: ICNTL(30): compute user-specified set of entries in inv(A) (None)
2346 .  -mat_mumps_icntl_31 <0>: ICNTL(31): indicates which factors may be discarded during factorization (None)
2347 .  -mat_mumps_icntl_33 <0>: ICNTL(33): compute determinant (None)
2348 .  -mat_mumps_cntl_1 <0.01>: CNTL(1): relative pivoting threshold (None)
2349 .  -mat_mumps_cntl_2 <1.49012e-08>: CNTL(2): stopping criterion of refinement (None)
2350 .  -mat_mumps_cntl_3 <0>: CNTL(3): absolute pivoting threshold (None)
2351 .  -mat_mumps_cntl_4 <-1>: CNTL(4): value for static pivoting (None)
2352 -  -mat_mumps_cntl_5 <0>: CNTL(5): fixation for null pivots (None)
2353 
2354   Level: beginner
2355 
2356 .seealso: PCFactorSetMatSolverPackage(), MatSolverPackage
2357 
2358 M*/
2359 
2360 #undef __FUNCT__
2361 #define __FUNCT__ "MatFactorGetSolverPackage_mumps"
2362 static PetscErrorCode MatFactorGetSolverPackage_mumps(Mat A,const MatSolverPackage *type)
2363 {
2364   PetscFunctionBegin;
2365   *type = MATSOLVERMUMPS;
2366   PetscFunctionReturn(0);
2367 }
2368 
2369 /* MatGetFactor for Seq and MPI AIJ matrices */
2370 #undef __FUNCT__
2371 #define __FUNCT__ "MatGetFactor_aij_mumps"
2372 PETSC_EXTERN PetscErrorCode MatGetFactor_aij_mumps(Mat A,MatFactorType ftype,Mat *F)
2373 {
2374   Mat            B;
2375   PetscErrorCode ierr;
2376   Mat_MUMPS      *mumps;
2377   PetscBool      isSeqAIJ;
2378 
2379   PetscFunctionBegin;
2380   /* Create the factorization matrix */
2381   ierr = PetscObjectTypeCompare((PetscObject)A,MATSEQAIJ,&isSeqAIJ);CHKERRQ(ierr);
2382   ierr = MatCreate(PetscObjectComm((PetscObject)A),&B);CHKERRQ(ierr);
2383   ierr = MatSetSizes(B,A->rmap->n,A->cmap->n,A->rmap->N,A->cmap->N);CHKERRQ(ierr);
2384   ierr = MatSetType(B,((PetscObject)A)->type_name);CHKERRQ(ierr);
2385   if (isSeqAIJ) {
2386     ierr = MatSeqAIJSetPreallocation(B,0,NULL);CHKERRQ(ierr);
2387   } else {
2388     ierr = MatMPIAIJSetPreallocation(B,0,NULL,0,NULL);CHKERRQ(ierr);
2389   }
2390 
2391   ierr = PetscNewLog(B,&mumps);CHKERRQ(ierr);
2392 
2393   B->ops->view        = MatView_MUMPS;
2394   B->ops->getinfo     = MatGetInfo_MUMPS;
2395   B->ops->getdiagonal = MatGetDiagonal_MUMPS;
2396 
2397   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorGetSolverPackage_C",MatFactorGetSolverPackage_mumps);CHKERRQ(ierr);
2398   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSetSchurIS_C",MatFactorSetSchurIS_MUMPS);CHKERRQ(ierr);
2399   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorInvertSchurComplement_C",MatFactorInvertSchurComplement_MUMPS);CHKERRQ(ierr);
2400   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorCreateSchurComplement_C",MatFactorCreateSchurComplement_MUMPS);CHKERRQ(ierr);
2401   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorGetSchurComplement_C",MatFactorGetSchurComplement_MUMPS);CHKERRQ(ierr);
2402   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSolveSchurComplement_C",MatFactorSolveSchurComplement_MUMPS);CHKERRQ(ierr);
2403   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSolveSchurComplementTranspose_C",MatFactorSolveSchurComplementTranspose_MUMPS);CHKERRQ(ierr);
2404   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorFactorizeSchurComplement_C",MatFactorFactorizeSchurComplement_MUMPS);CHKERRQ(ierr);
2405   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSetSchurComplementSolverType_C",MatFactorSetSchurComplementSolverType_MUMPS);CHKERRQ(ierr);
2406   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsSetIcntl_C",MatMumpsSetIcntl_MUMPS);CHKERRQ(ierr);
2407   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetIcntl_C",MatMumpsGetIcntl_MUMPS);CHKERRQ(ierr);
2408   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsSetCntl_C",MatMumpsSetCntl_MUMPS);CHKERRQ(ierr);
2409   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetCntl_C",MatMumpsGetCntl_MUMPS);CHKERRQ(ierr);
2410   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetInfo_C",MatMumpsGetInfo_MUMPS);CHKERRQ(ierr);
2411   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetInfog_C",MatMumpsGetInfog_MUMPS);CHKERRQ(ierr);
2412   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetRinfo_C",MatMumpsGetRinfo_MUMPS);CHKERRQ(ierr);
2413   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetRinfog_C",MatMumpsGetRinfog_MUMPS);CHKERRQ(ierr);
2414 
2415   if (ftype == MAT_FACTOR_LU) {
2416     B->ops->lufactorsymbolic = MatLUFactorSymbolic_AIJMUMPS;
2417     B->factortype            = MAT_FACTOR_LU;
2418     if (isSeqAIJ) mumps->ConvertToTriples = MatConvertToTriples_seqaij_seqaij;
2419     else mumps->ConvertToTriples = MatConvertToTriples_mpiaij_mpiaij;
2420     mumps->sym = 0;
2421   } else {
2422     B->ops->choleskyfactorsymbolic = MatCholeskyFactorSymbolic_MUMPS;
2423     B->factortype                  = MAT_FACTOR_CHOLESKY;
2424     if (isSeqAIJ) mumps->ConvertToTriples = MatConvertToTriples_seqaij_seqsbaij;
2425     else mumps->ConvertToTriples = MatConvertToTriples_mpiaij_mpisbaij;
2426 #if defined(PETSC_USE_COMPLEX)
2427     mumps->sym = 2;
2428 #else
2429     if (A->spd_set && A->spd) mumps->sym = 1;
2430     else                      mumps->sym = 2;
2431 #endif
2432   }
2433 
2434   mumps->isAIJ    = PETSC_TRUE;
2435   mumps->Destroy  = B->ops->destroy;
2436   B->ops->destroy = MatDestroy_MUMPS;
2437   B->spptr        = (void*)mumps;
2438 
2439   ierr = PetscInitializeMUMPS(A,mumps);CHKERRQ(ierr);
2440 
2441   *F = B;
2442   PetscFunctionReturn(0);
2443 }
2444 
2445 /* MatGetFactor for Seq and MPI SBAIJ matrices */
2446 #undef __FUNCT__
2447 #define __FUNCT__ "MatGetFactor_sbaij_mumps"
2448 PETSC_EXTERN PetscErrorCode MatGetFactor_sbaij_mumps(Mat A,MatFactorType ftype,Mat *F)
2449 {
2450   Mat            B;
2451   PetscErrorCode ierr;
2452   Mat_MUMPS      *mumps;
2453   PetscBool      isSeqSBAIJ;
2454 
2455   PetscFunctionBegin;
2456   if (ftype != MAT_FACTOR_CHOLESKY) SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_SUP,"Cannot use PETSc SBAIJ matrices with MUMPS LU, use AIJ matrix");
2457   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");
2458   ierr = PetscObjectTypeCompare((PetscObject)A,MATSEQSBAIJ,&isSeqSBAIJ);CHKERRQ(ierr);
2459   /* Create the factorization matrix */
2460   ierr = MatCreate(PetscObjectComm((PetscObject)A),&B);CHKERRQ(ierr);
2461   ierr = MatSetSizes(B,A->rmap->n,A->cmap->n,A->rmap->N,A->cmap->N);CHKERRQ(ierr);
2462   ierr = MatSetType(B,((PetscObject)A)->type_name);CHKERRQ(ierr);
2463   ierr = PetscNewLog(B,&mumps);CHKERRQ(ierr);
2464   if (isSeqSBAIJ) {
2465     ierr = MatSeqSBAIJSetPreallocation(B,1,0,NULL);CHKERRQ(ierr);
2466 
2467     mumps->ConvertToTriples = MatConvertToTriples_seqsbaij_seqsbaij;
2468   } else {
2469     ierr = MatMPISBAIJSetPreallocation(B,1,0,NULL,0,NULL);CHKERRQ(ierr);
2470 
2471     mumps->ConvertToTriples = MatConvertToTriples_mpisbaij_mpisbaij;
2472   }
2473 
2474   B->ops->choleskyfactorsymbolic = MatCholeskyFactorSymbolic_MUMPS;
2475   B->ops->view                   = MatView_MUMPS;
2476   B->ops->getdiagonal            = MatGetDiagonal_MUMPS;
2477 
2478   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorGetSolverPackage_C",MatFactorGetSolverPackage_mumps);CHKERRQ(ierr);
2479   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSetSchurIS_C",MatFactorSetSchurIS_MUMPS);CHKERRQ(ierr);
2480   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorInvertSchurComplement_C",MatFactorInvertSchurComplement_MUMPS);CHKERRQ(ierr);
2481   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorCreateSchurComplement_C",MatFactorCreateSchurComplement_MUMPS);CHKERRQ(ierr);
2482   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorGetSchurComplement_C",MatFactorGetSchurComplement_MUMPS);CHKERRQ(ierr);
2483   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSolveSchurComplement_C",MatFactorSolveSchurComplement_MUMPS);CHKERRQ(ierr);
2484   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSolveSchurComplementTranspose_C",MatFactorSolveSchurComplementTranspose_MUMPS);CHKERRQ(ierr);
2485   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorFactorizeSchurComplement_C",MatFactorFactorizeSchurComplement_MUMPS);CHKERRQ(ierr);
2486   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSetSchurComplementSolverType_C",MatFactorSetSchurComplementSolverType_MUMPS);CHKERRQ(ierr);
2487   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsSetIcntl_C",MatMumpsSetIcntl_MUMPS);CHKERRQ(ierr);
2488   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetIcntl_C",MatMumpsGetIcntl_MUMPS);CHKERRQ(ierr);
2489   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsSetCntl_C",MatMumpsSetCntl_MUMPS);CHKERRQ(ierr);
2490   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetCntl_C",MatMumpsGetCntl_MUMPS);CHKERRQ(ierr);
2491   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetInfo_C",MatMumpsGetInfo_MUMPS);CHKERRQ(ierr);
2492   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetInfog_C",MatMumpsGetInfog_MUMPS);CHKERRQ(ierr);
2493   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetRinfo_C",MatMumpsGetRinfo_MUMPS);CHKERRQ(ierr);
2494   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetRinfog_C",MatMumpsGetRinfog_MUMPS);CHKERRQ(ierr);
2495 
2496   B->factortype = MAT_FACTOR_CHOLESKY;
2497 #if defined(PETSC_USE_COMPLEX)
2498   mumps->sym = 2;
2499 #else
2500   if (A->spd_set && A->spd) mumps->sym = 1;
2501   else                      mumps->sym = 2;
2502 #endif
2503 
2504   mumps->isAIJ    = PETSC_FALSE;
2505   mumps->Destroy  = B->ops->destroy;
2506   B->ops->destroy = MatDestroy_MUMPS;
2507   B->spptr        = (void*)mumps;
2508 
2509   ierr = PetscInitializeMUMPS(A,mumps);CHKERRQ(ierr);
2510 
2511   *F = B;
2512   PetscFunctionReturn(0);
2513 }
2514 
2515 #undef __FUNCT__
2516 #define __FUNCT__ "MatGetFactor_baij_mumps"
2517 PETSC_EXTERN PetscErrorCode MatGetFactor_baij_mumps(Mat A,MatFactorType ftype,Mat *F)
2518 {
2519   Mat            B;
2520   PetscErrorCode ierr;
2521   Mat_MUMPS      *mumps;
2522   PetscBool      isSeqBAIJ;
2523 
2524   PetscFunctionBegin;
2525   /* Create the factorization matrix */
2526   ierr = PetscObjectTypeCompare((PetscObject)A,MATSEQBAIJ,&isSeqBAIJ);CHKERRQ(ierr);
2527   ierr = MatCreate(PetscObjectComm((PetscObject)A),&B);CHKERRQ(ierr);
2528   ierr = MatSetSizes(B,A->rmap->n,A->cmap->n,A->rmap->N,A->cmap->N);CHKERRQ(ierr);
2529   ierr = MatSetType(B,((PetscObject)A)->type_name);CHKERRQ(ierr);
2530   if (isSeqBAIJ) {
2531     ierr = MatSeqBAIJSetPreallocation(B,A->rmap->bs,0,NULL);CHKERRQ(ierr);
2532   } else {
2533     ierr = MatMPIBAIJSetPreallocation(B,A->rmap->bs,0,NULL,0,NULL);CHKERRQ(ierr);
2534   }
2535 
2536   ierr = PetscNewLog(B,&mumps);CHKERRQ(ierr);
2537   if (ftype == MAT_FACTOR_LU) {
2538     B->ops->lufactorsymbolic = MatLUFactorSymbolic_BAIJMUMPS;
2539     B->factortype            = MAT_FACTOR_LU;
2540     if (isSeqBAIJ) mumps->ConvertToTriples = MatConvertToTriples_seqbaij_seqaij;
2541     else mumps->ConvertToTriples = MatConvertToTriples_mpibaij_mpiaij;
2542     mumps->sym = 0;
2543   } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Cannot use PETSc BAIJ matrices with MUMPS Cholesky, use SBAIJ or AIJ matrix instead\n");
2544 
2545   B->ops->view        = MatView_MUMPS;
2546   B->ops->getdiagonal = MatGetDiagonal_MUMPS;
2547 
2548   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorGetSolverPackage_C",MatFactorGetSolverPackage_mumps);CHKERRQ(ierr);
2549   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSetSchurIS_C",MatFactorSetSchurIS_MUMPS);CHKERRQ(ierr);
2550   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorInvertSchurComplement_C",MatFactorInvertSchurComplement_MUMPS);CHKERRQ(ierr);
2551   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorCreateSchurComplement_C",MatFactorCreateSchurComplement_MUMPS);CHKERRQ(ierr);
2552   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorGetSchurComplement_C",MatFactorGetSchurComplement_MUMPS);CHKERRQ(ierr);
2553   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSolveSchurComplement_C",MatFactorSolveSchurComplement_MUMPS);CHKERRQ(ierr);
2554   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSolveSchurComplementTranspose_C",MatFactorSolveSchurComplementTranspose_MUMPS);CHKERRQ(ierr);
2555   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorFactorizeSchurComplement_C",MatFactorFactorizeSchurComplement_MUMPS);CHKERRQ(ierr);
2556   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSetSchurComplementSolverType_C",MatFactorSetSchurComplementSolverType_MUMPS);CHKERRQ(ierr);
2557   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsSetIcntl_C",MatMumpsSetIcntl_MUMPS);CHKERRQ(ierr);
2558   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetIcntl_C",MatMumpsGetIcntl_MUMPS);CHKERRQ(ierr);
2559   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsSetCntl_C",MatMumpsSetCntl_MUMPS);CHKERRQ(ierr);
2560   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetCntl_C",MatMumpsGetCntl_MUMPS);CHKERRQ(ierr);
2561   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetInfo_C",MatMumpsGetInfo_MUMPS);CHKERRQ(ierr);
2562   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetInfog_C",MatMumpsGetInfog_MUMPS);CHKERRQ(ierr);
2563   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetRinfo_C",MatMumpsGetRinfo_MUMPS);CHKERRQ(ierr);
2564   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetRinfog_C",MatMumpsGetRinfog_MUMPS);CHKERRQ(ierr);
2565 
2566   mumps->isAIJ    = PETSC_TRUE;
2567   mumps->Destroy  = B->ops->destroy;
2568   B->ops->destroy = MatDestroy_MUMPS;
2569   B->spptr        = (void*)mumps;
2570 
2571   ierr = PetscInitializeMUMPS(A,mumps);CHKERRQ(ierr);
2572 
2573   *F = B;
2574   PetscFunctionReturn(0);
2575 }
2576 
2577 PETSC_EXTERN PetscErrorCode MatGetFactor_aij_mumps(Mat,MatFactorType,Mat*);
2578 PETSC_EXTERN PetscErrorCode MatGetFactor_baij_mumps(Mat,MatFactorType,Mat*);
2579 PETSC_EXTERN PetscErrorCode MatGetFactor_sbaij_mumps(Mat,MatFactorType,Mat*);
2580 
2581 #undef __FUNCT__
2582 #define __FUNCT__ "MatSolverPackageRegister_MUMPS"
2583 PETSC_EXTERN PetscErrorCode MatSolverPackageRegister_MUMPS(void)
2584 {
2585   PetscErrorCode ierr;
2586 
2587   PetscFunctionBegin;
2588   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATMPIAIJ,MAT_FACTOR_LU,MatGetFactor_aij_mumps);CHKERRQ(ierr);
2589   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATMPIAIJ,MAT_FACTOR_CHOLESKY,MatGetFactor_aij_mumps);CHKERRQ(ierr);
2590   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATMPIBAIJ,MAT_FACTOR_LU,MatGetFactor_baij_mumps);CHKERRQ(ierr);
2591   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATMPIBAIJ,MAT_FACTOR_CHOLESKY,MatGetFactor_baij_mumps);CHKERRQ(ierr);
2592   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATMPISBAIJ,MAT_FACTOR_CHOLESKY,MatGetFactor_sbaij_mumps);CHKERRQ(ierr);
2593   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATSEQAIJ,MAT_FACTOR_LU,MatGetFactor_aij_mumps);CHKERRQ(ierr);
2594   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATSEQAIJ,MAT_FACTOR_CHOLESKY,MatGetFactor_aij_mumps);CHKERRQ(ierr);
2595   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATSEQBAIJ,MAT_FACTOR_LU,MatGetFactor_baij_mumps);CHKERRQ(ierr);
2596   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATSEQBAIJ,MAT_FACTOR_CHOLESKY,MatGetFactor_baij_mumps);CHKERRQ(ierr);
2597   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATSEQSBAIJ,MAT_FACTOR_CHOLESKY,MatGetFactor_sbaij_mumps);CHKERRQ(ierr);
2598   PetscFunctionReturn(0);
2599 }
2600 
2601