xref: /petsc/src/mat/impls/aij/mpi/mumps/mumps.c (revision c20ebc76411a944c5e054aaadfeb4c47706271ee)
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 
887   if (A->errortype) {
888     ierr = PetscInfo2(A,"MatSolve is called with singular matrix factor, INFOG(1)=%d, INFO(2)=%d\n",mumps->id.INFOG(1),mumps->id.INFO(2));CHKERRQ(ierr);
889     ierr = VecSetInf(x);CHKERRQ(ierr);
890     PetscFunctionReturn(0);
891   }
892 
893   mumps->id.nrhs = 1;
894   b_seq          = mumps->b_seq;
895   if (mumps->size > 1) {
896     /* MUMPS only supports centralized rhs. Scatter b into a seqential rhs vector */
897     ierr = VecScatterBegin(mumps->scat_rhs,b,b_seq,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
898     ierr = VecScatterEnd(mumps->scat_rhs,b,b_seq,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
899     if (!mumps->myid) {ierr = VecGetArray(b_seq,&array);CHKERRQ(ierr);}
900   } else {  /* size == 1 */
901     ierr = VecCopy(b,x);CHKERRQ(ierr);
902     ierr = VecGetArray(x,&array);CHKERRQ(ierr);
903   }
904   if (!mumps->myid) { /* define rhs on the host */
905     mumps->id.nrhs = 1;
906     mumps->id.rhs = (MumpsScalar*)array;
907   }
908 
909   /*
910      handle condensation step of Schur complement (if any)
911      We set by default ICNTL(26) == -1 when Schur indices have been provided by the user.
912      According to MUMPS (5.0.0) manual, any value should be harmful during the factorization phase
913      Unless the user provides a valid value for ICNTL(26), MatSolve and MatMatSolve routines solve the full system.
914      This requires an extra call to PetscMUMPS_c and the computation of the factors for S
915   */
916   if (mumps->id.ICNTL(26) < 0 || mumps->id.ICNTL(26) > 2) {
917     second_solve = PETSC_TRUE;
918     ierr = MatMumpsHandleSchur_Private(mumps,PETSC_FALSE);CHKERRQ(ierr);
919   }
920   /* solve phase */
921   /*-------------*/
922   mumps->id.job = JOB_SOLVE;
923   PetscMUMPS_c(&mumps->id);
924   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));
925 
926   /* handle expansion step of Schur complement (if any) */
927   if (second_solve) {
928     ierr = MatMumpsHandleSchur_Private(mumps,PETSC_TRUE);CHKERRQ(ierr);
929   }
930 
931   if (mumps->size > 1) { /* convert mumps distributed solution to petsc mpi x */
932     if (mumps->scat_sol && mumps->ICNTL9_pre != mumps->id.ICNTL(9)) {
933       /* when id.ICNTL(9) changes, the contents of lsol_loc may change (not its size, lsol_loc), recreates scat_sol */
934       ierr = VecScatterDestroy(&mumps->scat_sol);CHKERRQ(ierr);
935     }
936     if (!mumps->scat_sol) { /* create scatter scat_sol */
937       ierr = ISCreateStride(PETSC_COMM_SELF,mumps->id.lsol_loc,0,1,&is_iden);CHKERRQ(ierr); /* from */
938       for (i=0; i<mumps->id.lsol_loc; i++) {
939         mumps->id.isol_loc[i] -= 1; /* change Fortran style to C style */
940       }
941       ierr = ISCreateGeneral(PETSC_COMM_SELF,mumps->id.lsol_loc,mumps->id.isol_loc,PETSC_COPY_VALUES,&is_petsc);CHKERRQ(ierr);  /* to */
942       ierr = VecScatterCreate(mumps->x_seq,is_iden,x,is_petsc,&mumps->scat_sol);CHKERRQ(ierr);
943       ierr = ISDestroy(&is_iden);CHKERRQ(ierr);
944       ierr = ISDestroy(&is_petsc);CHKERRQ(ierr);
945 
946       mumps->ICNTL9_pre = mumps->id.ICNTL(9); /* save current value of id.ICNTL(9) */
947     }
948 
949     ierr = VecScatterBegin(mumps->scat_sol,mumps->x_seq,x,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
950     ierr = VecScatterEnd(mumps->scat_sol,mumps->x_seq,x,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
951   }
952   PetscFunctionReturn(0);
953 }
954 
955 #undef __FUNCT__
956 #define __FUNCT__ "MatSolveTranspose_MUMPS"
957 PetscErrorCode MatSolveTranspose_MUMPS(Mat A,Vec b,Vec x)
958 {
959   Mat_MUMPS      *mumps=(Mat_MUMPS*)A->spptr;
960   PetscErrorCode ierr;
961 
962   PetscFunctionBegin;
963   mumps->id.ICNTL(9) = 0;
964   ierr = MatSolve_MUMPS(A,b,x);CHKERRQ(ierr);
965   mumps->id.ICNTL(9) = 1;
966   PetscFunctionReturn(0);
967 }
968 
969 #undef __FUNCT__
970 #define __FUNCT__ "MatMatSolve_MUMPS"
971 PetscErrorCode MatMatSolve_MUMPS(Mat A,Mat B,Mat X)
972 {
973   PetscErrorCode ierr;
974   PetscBool      flg;
975   Mat_MUMPS      *mumps=(Mat_MUMPS*)A->spptr;
976   PetscInt       i,nrhs,M;
977   PetscScalar    *array,*bray;
978 
979   PetscFunctionBegin;
980   ierr = PetscObjectTypeCompareAny((PetscObject)B,&flg,MATSEQDENSE,MATMPIDENSE,NULL);CHKERRQ(ierr);
981   if (!flg) SETERRQ(PetscObjectComm((PetscObject)B),PETSC_ERR_ARG_WRONG,"Matrix B must be MATDENSE matrix");
982   ierr = PetscObjectTypeCompareAny((PetscObject)X,&flg,MATSEQDENSE,MATMPIDENSE,NULL);CHKERRQ(ierr);
983   if (!flg) SETERRQ(PetscObjectComm((PetscObject)X),PETSC_ERR_ARG_WRONG,"Matrix X must be MATDENSE matrix");
984   if (B->rmap->n != X->rmap->n) SETERRQ(PetscObjectComm((PetscObject)B),PETSC_ERR_ARG_WRONG,"Matrix B and X must have same row distribution");
985 
986   ierr = MatGetSize(B,&M,&nrhs);CHKERRQ(ierr);
987   mumps->id.nrhs = nrhs;
988   mumps->id.lrhs = M;
989 
990   if (mumps->size == 1) {
991     PetscBool second_solve = PETSC_FALSE;
992     /* copy B to X */
993     ierr = MatDenseGetArray(B,&bray);CHKERRQ(ierr);
994     ierr = MatDenseGetArray(X,&array);CHKERRQ(ierr);
995     ierr = PetscMemcpy(array,bray,M*nrhs*sizeof(PetscScalar));CHKERRQ(ierr);
996     ierr = MatDenseRestoreArray(B,&bray);CHKERRQ(ierr);
997     mumps->id.rhs = (MumpsScalar*)array;
998 
999     /* handle condensation step of Schur complement (if any) */
1000     if (mumps->id.ICNTL(26) < 0 || mumps->id.ICNTL(26) > 2) {
1001       second_solve = PETSC_TRUE;
1002       ierr = MatMumpsHandleSchur_Private(mumps,PETSC_FALSE);CHKERRQ(ierr);
1003     }
1004     /* solve phase */
1005     /*-------------*/
1006     mumps->id.job = JOB_SOLVE;
1007     PetscMUMPS_c(&mumps->id);
1008     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));
1009 
1010     /* handle expansion step of Schur complement (if any) */
1011     if (second_solve) {
1012       ierr = MatMumpsHandleSchur_Private(mumps,PETSC_TRUE);CHKERRQ(ierr);
1013     }
1014     ierr = MatDenseRestoreArray(X,&array);CHKERRQ(ierr);
1015   } else {  /*--------- parallel case --------*/
1016     PetscInt       lsol_loc,nlsol_loc,*isol_loc,*idx,*iidx,*idxx,*isol_loc_save;
1017     MumpsScalar    *sol_loc,*sol_loc_save;
1018     IS             is_to,is_from;
1019     PetscInt       k,proc,j,m;
1020     const PetscInt *rstart;
1021     Vec            v_mpi,b_seq,x_seq;
1022     VecScatter     scat_rhs,scat_sol;
1023 
1024     /* create x_seq to hold local solution */
1025     isol_loc_save = mumps->id.isol_loc; /* save it for MatSovle() */
1026     sol_loc_save  = mumps->id.sol_loc;
1027 
1028     lsol_loc  = mumps->id.INFO(23);
1029     nlsol_loc = nrhs*lsol_loc;     /* length of sol_loc */
1030     ierr = PetscMalloc2(nlsol_loc,&sol_loc,nlsol_loc,&isol_loc);CHKERRQ(ierr);
1031     mumps->id.sol_loc = (MumpsScalar*)sol_loc;
1032     mumps->id.isol_loc = isol_loc;
1033 
1034     ierr = VecCreateSeqWithArray(PETSC_COMM_SELF,1,nlsol_loc,(PetscScalar*)sol_loc,&x_seq);CHKERRQ(ierr);
1035 
1036     /* copy rhs matrix B into vector v_mpi */
1037     ierr = MatGetLocalSize(B,&m,NULL);CHKERRQ(ierr);
1038     ierr = MatDenseGetArray(B,&bray);CHKERRQ(ierr);
1039     ierr = VecCreateMPIWithArray(PetscObjectComm((PetscObject)B),1,nrhs*m,nrhs*M,(const PetscScalar*)bray,&v_mpi);CHKERRQ(ierr);
1040     ierr = MatDenseRestoreArray(B,&bray);CHKERRQ(ierr);
1041 
1042     /* scatter v_mpi to b_seq because MUMPS only supports centralized rhs */
1043     /* idx: maps from k-th index of v_mpi to (i,j)-th global entry of B;
1044       iidx: inverse of idx, will be used by scattering xx_seq -> X       */
1045     ierr = PetscMalloc2(nrhs*M,&idx,nrhs*M,&iidx);CHKERRQ(ierr);
1046     ierr = MatGetOwnershipRanges(B,&rstart);CHKERRQ(ierr);
1047     k = 0;
1048     for (proc=0; proc<mumps->size; proc++){
1049       for (j=0; j<nrhs; j++){
1050         for (i=rstart[proc]; i<rstart[proc+1]; i++){
1051           iidx[j*M + i] = k;
1052           idx[k++]      = j*M + i;
1053         }
1054       }
1055     }
1056 
1057     if (!mumps->myid) {
1058       ierr = VecCreateSeq(PETSC_COMM_SELF,nrhs*M,&b_seq);CHKERRQ(ierr);
1059       ierr = ISCreateGeneral(PETSC_COMM_SELF,nrhs*M,idx,PETSC_COPY_VALUES,&is_to);CHKERRQ(ierr);
1060       ierr = ISCreateStride(PETSC_COMM_SELF,nrhs*M,0,1,&is_from);CHKERRQ(ierr);
1061     } else {
1062       ierr = VecCreateSeq(PETSC_COMM_SELF,0,&b_seq);CHKERRQ(ierr);
1063       ierr = ISCreateStride(PETSC_COMM_SELF,0,0,1,&is_to);CHKERRQ(ierr);
1064       ierr = ISCreateStride(PETSC_COMM_SELF,0,0,1,&is_from);CHKERRQ(ierr);
1065     }
1066     ierr = VecScatterCreate(v_mpi,is_from,b_seq,is_to,&scat_rhs);CHKERRQ(ierr);
1067     ierr = VecScatterBegin(scat_rhs,v_mpi,b_seq,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1068     ierr = ISDestroy(&is_to);CHKERRQ(ierr);
1069     ierr = ISDestroy(&is_from);CHKERRQ(ierr);
1070     ierr = VecScatterEnd(scat_rhs,v_mpi,b_seq,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1071 
1072     if (!mumps->myid) { /* define rhs on the host */
1073       ierr = VecGetArray(b_seq,&bray);CHKERRQ(ierr);
1074       mumps->id.rhs = (MumpsScalar*)bray;
1075       ierr = VecRestoreArray(b_seq,&bray);CHKERRQ(ierr);
1076     }
1077 
1078     /* solve phase */
1079     /*-------------*/
1080     mumps->id.job = JOB_SOLVE;
1081     PetscMUMPS_c(&mumps->id);
1082     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));
1083 
1084     /* scatter mumps distributed solution to petsc vector v_mpi, which shares local arrays with solution matrix X */
1085     ierr = MatDenseGetArray(X,&array);CHKERRQ(ierr);
1086     ierr = VecPlaceArray(v_mpi,array);CHKERRQ(ierr);
1087 
1088     /* create scatter scat_sol */
1089     ierr = PetscMalloc1(nlsol_loc,&idxx);CHKERRQ(ierr);
1090     ierr = ISCreateStride(PETSC_COMM_SELF,nlsol_loc,0,1,&is_from);CHKERRQ(ierr);
1091     for (i=0; i<lsol_loc; i++) {
1092       isol_loc[i] -= 1; /* change Fortran style to C style */
1093       idxx[i] = iidx[isol_loc[i]];
1094       for (j=1; j<nrhs; j++){
1095         idxx[j*lsol_loc+i] = iidx[isol_loc[i]+j*M];
1096       }
1097     }
1098     ierr = ISCreateGeneral(PETSC_COMM_SELF,nlsol_loc,idxx,PETSC_COPY_VALUES,&is_to);CHKERRQ(ierr);
1099     ierr = VecScatterCreate(x_seq,is_from,v_mpi,is_to,&scat_sol);CHKERRQ(ierr);
1100     ierr = VecScatterBegin(scat_sol,x_seq,v_mpi,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1101     ierr = ISDestroy(&is_from);CHKERRQ(ierr);
1102     ierr = ISDestroy(&is_to);CHKERRQ(ierr);
1103     ierr = VecScatterEnd(scat_sol,x_seq,v_mpi,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1104     ierr = MatDenseRestoreArray(X,&array);CHKERRQ(ierr);
1105 
1106     /* free spaces */
1107     mumps->id.sol_loc = sol_loc_save;
1108     mumps->id.isol_loc = isol_loc_save;
1109 
1110     ierr = PetscFree2(sol_loc,isol_loc);CHKERRQ(ierr);
1111     ierr = PetscFree2(idx,iidx);CHKERRQ(ierr);
1112     ierr = PetscFree(idxx);CHKERRQ(ierr);
1113     ierr = VecDestroy(&x_seq);CHKERRQ(ierr);
1114     ierr = VecDestroy(&v_mpi);CHKERRQ(ierr);
1115     ierr = VecDestroy(&b_seq);CHKERRQ(ierr);
1116     ierr = VecScatterDestroy(&scat_rhs);CHKERRQ(ierr);
1117     ierr = VecScatterDestroy(&scat_sol);CHKERRQ(ierr);
1118   }
1119   PetscFunctionReturn(0);
1120 }
1121 
1122 #if !defined(PETSC_USE_COMPLEX)
1123 /*
1124   input:
1125    F:        numeric factor
1126   output:
1127    nneg:     total number of negative pivots
1128    nzero:    0
1129    npos:     (global dimension of F) - nneg
1130 */
1131 
1132 #undef __FUNCT__
1133 #define __FUNCT__ "MatGetInertia_SBAIJMUMPS"
1134 PetscErrorCode MatGetInertia_SBAIJMUMPS(Mat F,int *nneg,int *nzero,int *npos)
1135 {
1136   Mat_MUMPS      *mumps =(Mat_MUMPS*)F->spptr;
1137   PetscErrorCode ierr;
1138   PetscMPIInt    size;
1139 
1140   PetscFunctionBegin;
1141   ierr = MPI_Comm_size(PetscObjectComm((PetscObject)F),&size);CHKERRQ(ierr);
1142   /* 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 */
1143   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));
1144 
1145   if (nneg) *nneg = mumps->id.INFOG(12);
1146   if (nzero || npos) {
1147     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");
1148     if (nzero) *nzero = mumps->id.INFOG(28);
1149     if (npos) *npos   = F->rmap->N - (mumps->id.INFOG(12) + mumps->id.INFOG(28));
1150   }
1151   PetscFunctionReturn(0);
1152 }
1153 #endif /* !defined(PETSC_USE_COMPLEX) */
1154 
1155 #undef __FUNCT__
1156 #define __FUNCT__ "MatFactorNumeric_MUMPS"
1157 PetscErrorCode MatFactorNumeric_MUMPS(Mat F,Mat A,const MatFactorInfo *info)
1158 {
1159   Mat_MUMPS      *mumps =(Mat_MUMPS*)(F)->spptr;
1160   PetscErrorCode ierr;
1161   Mat            F_diag;
1162   PetscBool      isMPIAIJ;
1163 
1164   PetscFunctionBegin;
1165   if (mumps->id.INFOG(1) < 0) {
1166     if (mumps->id.INFOG(1) == -6) {
1167       ierr = PetscInfo2(A,"MatFactorNumeric is called with singular matrix structure, INFOG(1)=%d, INFO(2)=%d\n",mumps->id.INFOG(1),mumps->id.INFO(2));CHKERRQ(ierr);
1168     }
1169     ierr = PetscInfo2(A,"MatFactorNumeric is called after analysis phase fails, INFOG(1)=%d, INFO(2)=%d\n",mumps->id.INFOG(1),mumps->id.INFO(2));CHKERRQ(ierr);
1170     PetscFunctionReturn(0);
1171   }
1172 
1173   ierr = (*mumps->ConvertToTriples)(A, 1, MAT_REUSE_MATRIX, &mumps->nz, &mumps->irn, &mumps->jcn, &mumps->val);CHKERRQ(ierr);
1174 
1175   /* numerical factorization phase */
1176   /*-------------------------------*/
1177   mumps->id.job = JOB_FACTNUMERIC;
1178   if (!mumps->id.ICNTL(18)) { /* A is centralized */
1179     if (!mumps->myid) {
1180       mumps->id.a = (MumpsScalar*)mumps->val;
1181     }
1182   } else {
1183     mumps->id.a_loc = (MumpsScalar*)mumps->val;
1184   }
1185   PetscMUMPS_c(&mumps->id);
1186   if (mumps->id.INFOG(1) < 0) {
1187     if (A->erroriffailure) {
1188       SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error reported by MUMPS in numerical factorization phase: INFOG(1)=%d, INFO(2)=%d\n",mumps->id.INFOG(1),mumps->id.INFO(2));
1189     } else {
1190       if (mumps->id.INFOG(1) == -10) { /* numerically singular matrix */
1191         ierr = PetscInfo2(F,"matrix is numerically singular, INFOG(1)=%d, INFO(2)=%d\n",mumps->id.INFOG(1),mumps->id.INFO(2));CHKERRQ(ierr);
1192         F->errortype = MAT_FACTOR_NUMERIC_ZEROPIVOT;
1193       } else if (mumps->id.INFOG(1) == -13) {
1194         ierr = PetscInfo2(F,"MUMPS in numerical factorization phase: INFOG(1)=%d, cannot allocate required memory %d megabytes\n",mumps->id.INFOG(1),mumps->id.INFO(2));CHKERRQ(ierr);
1195         F->errortype = MAT_FACTOR_OUTMEMORY;
1196       } else if (mumps->id.INFOG(1) == -8 || mumps->id.INFOG(1) == -9 || (-16 < mumps->id.INFOG(1) && mumps->id.INFOG(1) < -10) ) {
1197         ierr = PetscInfo2(F,"MUMPS in numerical factorization phase: INFOG(1)=%d, INFO(2)=%d, problem with workarray \n",mumps->id.INFOG(1),mumps->id.INFO(2));CHKERRQ(ierr);
1198         F->errortype = MAT_FACTOR_OUTMEMORY;
1199       } else {
1200         ierr = PetscInfo2(F,"MUMPS in numerical factorization phase: INFOG(1)=%d, INFO(2)=%d\n",mumps->id.INFOG(1),mumps->id.INFO(2));CHKERRQ(ierr);
1201         F->errortype = MAT_FACTOR_OTHER;
1202       }
1203     }
1204   }
1205   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));
1206 
1207   (F)->assembled        = PETSC_TRUE;
1208   mumps->matstruc       = SAME_NONZERO_PATTERN;
1209   mumps->schur_factored = PETSC_FALSE;
1210   mumps->schur_inverted = PETSC_FALSE;
1211 
1212   /* just to be sure that ICNTL(19) value returned by a call from MatMumpsGetIcntl is always consistent */
1213   if (!mumps->sym && mumps->id.ICNTL(19) && mumps->id.ICNTL(19) != 1) mumps->id.ICNTL(19) = 3;
1214 
1215   if (mumps->size > 1) {
1216     PetscInt    lsol_loc;
1217     PetscScalar *sol_loc;
1218 
1219     ierr = PetscObjectTypeCompare((PetscObject)A,MATMPIAIJ,&isMPIAIJ);CHKERRQ(ierr);
1220     if (isMPIAIJ) F_diag = ((Mat_MPIAIJ*)(F)->data)->A;
1221     else F_diag = ((Mat_MPISBAIJ*)(F)->data)->A;
1222     F_diag->assembled = PETSC_TRUE;
1223 
1224     /* distributed solution; Create x_seq=sol_loc for repeated use */
1225     if (mumps->x_seq) {
1226       ierr = VecScatterDestroy(&mumps->scat_sol);CHKERRQ(ierr);
1227       ierr = PetscFree2(mumps->id.sol_loc,mumps->id.isol_loc);CHKERRQ(ierr);
1228       ierr = VecDestroy(&mumps->x_seq);CHKERRQ(ierr);
1229     }
1230     lsol_loc = mumps->id.INFO(23); /* length of sol_loc */
1231     ierr = PetscMalloc2(lsol_loc,&sol_loc,lsol_loc,&mumps->id.isol_loc);CHKERRQ(ierr);
1232     mumps->id.lsol_loc = lsol_loc;
1233     mumps->id.sol_loc = (MumpsScalar*)sol_loc;
1234     ierr = VecCreateSeqWithArray(PETSC_COMM_SELF,1,lsol_loc,sol_loc,&mumps->x_seq);CHKERRQ(ierr);
1235   }
1236   PetscFunctionReturn(0);
1237 }
1238 
1239 /* Sets MUMPS options from the options database */
1240 #undef __FUNCT__
1241 #define __FUNCT__ "PetscSetMUMPSFromOptions"
1242 PetscErrorCode PetscSetMUMPSFromOptions(Mat F, Mat A)
1243 {
1244   Mat_MUMPS      *mumps = (Mat_MUMPS*)F->spptr;
1245   PetscErrorCode ierr;
1246   PetscInt       icntl,info[40],i,ninfo=40;
1247   PetscBool      flg;
1248 
1249   PetscFunctionBegin;
1250   ierr = PetscOptionsBegin(PetscObjectComm((PetscObject)A),((PetscObject)A)->prefix,"MUMPS Options","Mat");CHKERRQ(ierr);
1251   ierr = PetscOptionsInt("-mat_mumps_icntl_1","ICNTL(1): output stream for error messages","None",mumps->id.ICNTL(1),&icntl,&flg);CHKERRQ(ierr);
1252   if (flg) mumps->id.ICNTL(1) = icntl;
1253   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);
1254   if (flg) mumps->id.ICNTL(2) = icntl;
1255   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);
1256   if (flg) mumps->id.ICNTL(3) = icntl;
1257 
1258   ierr = PetscOptionsInt("-mat_mumps_icntl_4","ICNTL(4): level of printing (0 to 4)","None",mumps->id.ICNTL(4),&icntl,&flg);CHKERRQ(ierr);
1259   if (flg) mumps->id.ICNTL(4) = icntl;
1260   if (mumps->id.ICNTL(4) || PetscLogPrintInfo) mumps->id.ICNTL(3) = 6; /* resume MUMPS default id.ICNTL(3) = 6 */
1261 
1262   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);
1263   if (flg) mumps->id.ICNTL(6) = icntl;
1264 
1265   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);
1266   if (flg) {
1267     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");
1268     else mumps->id.ICNTL(7) = icntl;
1269   }
1270 
1271   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);
1272   /* 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() */
1273   ierr = PetscOptionsInt("-mat_mumps_icntl_10","ICNTL(10): max num of refinements","None",mumps->id.ICNTL(10),&mumps->id.ICNTL(10),NULL);CHKERRQ(ierr);
1274   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);
1275   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);
1276   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);
1277   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);
1278   ierr = PetscOptionsInt("-mat_mumps_icntl_19","ICNTL(19): computes the Schur complement","None",mumps->id.ICNTL(19),&mumps->id.ICNTL(19),NULL);CHKERRQ(ierr);
1279   if (mumps->id.ICNTL(19) <= 0 || mumps->id.ICNTL(19) > 3) { /* reset any schur data (if any) */
1280     ierr = MatMumpsResetSchur_Private(mumps);CHKERRQ(ierr);
1281   }
1282   /* 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 */
1283   /* 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 */
1284 
1285   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);
1286   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);
1287   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);
1288   if (mumps->id.ICNTL(24)) {
1289     mumps->id.ICNTL(13) = 1; /* turn-off ScaLAPACK to help with the correct detection of null pivots */
1290   }
1291 
1292   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);
1293   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);
1294   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);
1295   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);
1296   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);
1297   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);
1298   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);
1299   /* 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 */
1300   ierr = PetscOptionsInt("-mat_mumps_icntl_33","ICNTL(33): compute determinant","None",mumps->id.ICNTL(33),&mumps->id.ICNTL(33),NULL);CHKERRQ(ierr);
1301 
1302   ierr = PetscOptionsReal("-mat_mumps_cntl_1","CNTL(1): relative pivoting threshold","None",mumps->id.CNTL(1),&mumps->id.CNTL(1),NULL);CHKERRQ(ierr);
1303   ierr = PetscOptionsReal("-mat_mumps_cntl_2","CNTL(2): stopping criterion of refinement","None",mumps->id.CNTL(2),&mumps->id.CNTL(2),NULL);CHKERRQ(ierr);
1304   ierr = PetscOptionsReal("-mat_mumps_cntl_3","CNTL(3): absolute pivoting threshold","None",mumps->id.CNTL(3),&mumps->id.CNTL(3),NULL);CHKERRQ(ierr);
1305   ierr = PetscOptionsReal("-mat_mumps_cntl_4","CNTL(4): value for static pivoting","None",mumps->id.CNTL(4),&mumps->id.CNTL(4),NULL);CHKERRQ(ierr);
1306   ierr = PetscOptionsReal("-mat_mumps_cntl_5","CNTL(5): fixation for null pivots","None",mumps->id.CNTL(5),&mumps->id.CNTL(5),NULL);CHKERRQ(ierr);
1307 
1308   ierr = PetscOptionsString("-mat_mumps_ooc_tmpdir", "out of core directory", "None", mumps->id.ooc_tmpdir, mumps->id.ooc_tmpdir, 256, NULL);
1309 
1310   ierr = PetscOptionsIntArray("-mat_mumps_view_info","request INFO local to each processor","",info,&ninfo,NULL);CHKERRQ(ierr);
1311   if (ninfo) {
1312     if (ninfo > 40) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_USER,"number of INFO %d must <= 40\n",ninfo);
1313     ierr = PetscMalloc1(ninfo,&mumps->info);CHKERRQ(ierr);
1314     mumps->ninfo = ninfo;
1315     for (i=0; i<ninfo; i++) {
1316       if (info[i] < 0 || info[i]>40) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_USER,"index of INFO %d must between 1 and 40\n",ninfo);
1317       else {
1318         mumps->info[i] = info[i];
1319       }
1320     }
1321   }
1322 
1323   PetscOptionsEnd();
1324   PetscFunctionReturn(0);
1325 }
1326 
1327 #undef __FUNCT__
1328 #define __FUNCT__ "PetscInitializeMUMPS"
1329 PetscErrorCode PetscInitializeMUMPS(Mat A,Mat_MUMPS *mumps)
1330 {
1331   PetscErrorCode ierr;
1332 
1333   PetscFunctionBegin;
1334   ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)A), &mumps->myid);
1335   ierr = MPI_Comm_size(PetscObjectComm((PetscObject)A),&mumps->size);CHKERRQ(ierr);
1336   ierr = MPI_Comm_dup(PetscObjectComm((PetscObject)A),&(mumps->comm_mumps));CHKERRQ(ierr);
1337 
1338   mumps->id.comm_fortran = MPI_Comm_c2f(mumps->comm_mumps);
1339 
1340   mumps->id.job = JOB_INIT;
1341   mumps->id.par = 1;  /* host participates factorizaton and solve */
1342   mumps->id.sym = mumps->sym;
1343   PetscMUMPS_c(&mumps->id);
1344 
1345   mumps->scat_rhs     = NULL;
1346   mumps->scat_sol     = NULL;
1347 
1348   /* set PETSc-MUMPS default options - override MUMPS default */
1349   mumps->id.ICNTL(3) = 0;
1350   mumps->id.ICNTL(4) = 0;
1351   if (mumps->size == 1) {
1352     mumps->id.ICNTL(18) = 0;   /* centralized assembled matrix input */
1353   } else {
1354     mumps->id.ICNTL(18) = 3;   /* distributed assembled matrix input */
1355     mumps->id.ICNTL(20) = 0;   /* rhs is in dense format */
1356     mumps->id.ICNTL(21) = 1;   /* distributed solution */
1357   }
1358 
1359   /* schur */
1360   mumps->id.size_schur      = 0;
1361   mumps->id.listvar_schur   = NULL;
1362   mumps->id.schur           = NULL;
1363   mumps->sizeredrhs         = 0;
1364   mumps->schur_pivots       = NULL;
1365   mumps->schur_work         = NULL;
1366   mumps->schur_sol          = NULL;
1367   mumps->schur_sizesol      = 0;
1368   mumps->schur_factored     = PETSC_FALSE;
1369   mumps->schur_inverted     = PETSC_FALSE;
1370   mumps->schur_sym          = mumps->id.sym;
1371   PetscFunctionReturn(0);
1372 }
1373 
1374 #undef __FUNCT__
1375 #define __FUNCT__ "MatFactorSymbolic_MUMPS_ReportIfError"
1376 PetscErrorCode MatFactorSymbolic_MUMPS_ReportIfError(Mat F,Mat A,const MatFactorInfo *info,Mat_MUMPS *mumps)
1377 {
1378   PetscErrorCode ierr;
1379 
1380   PetscFunctionBegin;
1381   if (mumps->id.INFOG(1) < 0) {
1382     if (A->erroriffailure) {
1383       SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error reported by MUMPS in analysis phase: INFOG(1)=%d\n",mumps->id.INFOG(1));
1384     } else {
1385       if (mumps->id.INFOG(1) == -6) {
1386         ierr = PetscInfo2(F,"matrix is singular in structure, INFOG(1)=%d, INFO(2)=%d\n",mumps->id.INFOG(1),mumps->id.INFO(2));CHKERRQ(ierr);
1387         F->errortype = MAT_FACTOR_STRUCT_ZEROPIVOT;
1388       } else if (mumps->id.INFOG(1) == -5 || mumps->id.INFOG(1) == -7) {
1389         ierr = PetscInfo2(F,"problem of workspace, INFOG(1)=%d, INFO(2)=%d\n",mumps->id.INFOG(1),mumps->id.INFO(2));CHKERRQ(ierr);
1390         F->errortype = MAT_FACTOR_OUTMEMORY;
1391       } else {
1392         ierr = PetscInfo2(F,"Error reported by MUMPS in analysis phase: INFOG(1)=%d, INFO(2)=%d\n",mumps->id.INFOG(1),mumps->id.INFO(2));CHKERRQ(ierr);
1393         F->errortype = MAT_FACTOR_OTHER;
1394       }
1395     }
1396   }
1397   PetscFunctionReturn(0);
1398 }
1399 
1400 /* Note Petsc r(=c) permutation is used when mumps->id.ICNTL(7)==1 with centralized assembled matrix input; otherwise r and c are ignored */
1401 #undef __FUNCT__
1402 #define __FUNCT__ "MatLUFactorSymbolic_AIJMUMPS"
1403 PetscErrorCode MatLUFactorSymbolic_AIJMUMPS(Mat F,Mat A,IS r,IS c,const MatFactorInfo *info)
1404 {
1405   Mat_MUMPS      *mumps = (Mat_MUMPS*)F->spptr;
1406   PetscErrorCode ierr;
1407   Vec            b;
1408   IS             is_iden;
1409   const PetscInt M = A->rmap->N;
1410 
1411   PetscFunctionBegin;
1412   mumps->matstruc = DIFFERENT_NONZERO_PATTERN;
1413 
1414   /* Set MUMPS options from the options database */
1415   ierr = PetscSetMUMPSFromOptions(F,A);CHKERRQ(ierr);
1416 
1417   ierr = (*mumps->ConvertToTriples)(A, 1, MAT_INITIAL_MATRIX, &mumps->nz, &mumps->irn, &mumps->jcn, &mumps->val);CHKERRQ(ierr);
1418 
1419   /* analysis phase */
1420   /*----------------*/
1421   mumps->id.job = JOB_FACTSYMBOLIC;
1422   mumps->id.n   = M;
1423   switch (mumps->id.ICNTL(18)) {
1424   case 0:  /* centralized assembled matrix input */
1425     if (!mumps->myid) {
1426       mumps->id.nz =mumps->nz; mumps->id.irn=mumps->irn; mumps->id.jcn=mumps->jcn;
1427       if (mumps->id.ICNTL(6)>1) {
1428         mumps->id.a = (MumpsScalar*)mumps->val;
1429       }
1430       if (mumps->id.ICNTL(7) == 1) { /* use user-provide matrix ordering - assuming r = c ordering */
1431         /*
1432         PetscBool      flag;
1433         ierr = ISEqual(r,c,&flag);CHKERRQ(ierr);
1434         if (!flag) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_USER,"row_perm != col_perm");
1435         ierr = ISView(r,PETSC_VIEWER_STDOUT_SELF);
1436          */
1437         if (!mumps->myid) {
1438           const PetscInt *idx;
1439           PetscInt       i,*perm_in;
1440 
1441           ierr = PetscMalloc1(M,&perm_in);CHKERRQ(ierr);
1442           ierr = ISGetIndices(r,&idx);CHKERRQ(ierr);
1443 
1444           mumps->id.perm_in = perm_in;
1445           for (i=0; i<M; i++) perm_in[i] = idx[i]+1; /* perm_in[]: start from 1, not 0! */
1446           ierr = ISRestoreIndices(r,&idx);CHKERRQ(ierr);
1447         }
1448       }
1449     }
1450     break;
1451   case 3:  /* distributed assembled matrix input (size>1) */
1452     mumps->id.nz_loc = mumps->nz;
1453     mumps->id.irn_loc=mumps->irn; mumps->id.jcn_loc=mumps->jcn;
1454     if (mumps->id.ICNTL(6)>1) {
1455       mumps->id.a_loc = (MumpsScalar*)mumps->val;
1456     }
1457     /* MUMPS only supports centralized rhs. Create scatter scat_rhs for repeated use in MatSolve() */
1458     if (!mumps->myid) {
1459       ierr = VecCreateSeq(PETSC_COMM_SELF,A->rmap->N,&mumps->b_seq);CHKERRQ(ierr);
1460       ierr = ISCreateStride(PETSC_COMM_SELF,A->rmap->N,0,1,&is_iden);CHKERRQ(ierr);
1461     } else {
1462       ierr = VecCreateSeq(PETSC_COMM_SELF,0,&mumps->b_seq);CHKERRQ(ierr);
1463       ierr = ISCreateStride(PETSC_COMM_SELF,0,0,1,&is_iden);CHKERRQ(ierr);
1464     }
1465     ierr = MatCreateVecs(A,NULL,&b);CHKERRQ(ierr);
1466     ierr = VecScatterCreate(b,is_iden,mumps->b_seq,is_iden,&mumps->scat_rhs);CHKERRQ(ierr);
1467     ierr = ISDestroy(&is_iden);CHKERRQ(ierr);
1468     ierr = VecDestroy(&b);CHKERRQ(ierr);
1469     break;
1470   }
1471   PetscMUMPS_c(&mumps->id);
1472   ierr = MatFactorSymbolic_MUMPS_ReportIfError(F,A,info,mumps);CHKERRQ(ierr);
1473 
1474   F->ops->lufactornumeric = MatFactorNumeric_MUMPS;
1475   F->ops->solve           = MatSolve_MUMPS;
1476   F->ops->solvetranspose  = MatSolveTranspose_MUMPS;
1477   F->ops->matsolve        = MatMatSolve_MUMPS;
1478   PetscFunctionReturn(0);
1479 }
1480 
1481 /* Note the Petsc r and c permutations are ignored */
1482 #undef __FUNCT__
1483 #define __FUNCT__ "MatLUFactorSymbolic_BAIJMUMPS"
1484 PetscErrorCode MatLUFactorSymbolic_BAIJMUMPS(Mat F,Mat A,IS r,IS c,const MatFactorInfo *info)
1485 {
1486   Mat_MUMPS      *mumps = (Mat_MUMPS*)F->spptr;
1487   PetscErrorCode ierr;
1488   Vec            b;
1489   IS             is_iden;
1490   const PetscInt M = A->rmap->N;
1491 
1492   PetscFunctionBegin;
1493   mumps->matstruc = DIFFERENT_NONZERO_PATTERN;
1494 
1495   /* Set MUMPS options from the options database */
1496   ierr = PetscSetMUMPSFromOptions(F,A);CHKERRQ(ierr);
1497 
1498   ierr = (*mumps->ConvertToTriples)(A, 1, MAT_INITIAL_MATRIX, &mumps->nz, &mumps->irn, &mumps->jcn, &mumps->val);CHKERRQ(ierr);
1499 
1500   /* analysis phase */
1501   /*----------------*/
1502   mumps->id.job = JOB_FACTSYMBOLIC;
1503   mumps->id.n   = M;
1504   switch (mumps->id.ICNTL(18)) {
1505   case 0:  /* centralized assembled matrix input */
1506     if (!mumps->myid) {
1507       mumps->id.nz =mumps->nz; mumps->id.irn=mumps->irn; mumps->id.jcn=mumps->jcn;
1508       if (mumps->id.ICNTL(6)>1) {
1509         mumps->id.a = (MumpsScalar*)mumps->val;
1510       }
1511     }
1512     break;
1513   case 3:  /* distributed assembled matrix input (size>1) */
1514     mumps->id.nz_loc = mumps->nz;
1515     mumps->id.irn_loc=mumps->irn; mumps->id.jcn_loc=mumps->jcn;
1516     if (mumps->id.ICNTL(6)>1) {
1517       mumps->id.a_loc = (MumpsScalar*)mumps->val;
1518     }
1519     /* MUMPS only supports centralized rhs. Create scatter scat_rhs for repeated use in MatSolve() */
1520     if (!mumps->myid) {
1521       ierr = VecCreateSeq(PETSC_COMM_SELF,A->cmap->N,&mumps->b_seq);CHKERRQ(ierr);
1522       ierr = ISCreateStride(PETSC_COMM_SELF,A->cmap->N,0,1,&is_iden);CHKERRQ(ierr);
1523     } else {
1524       ierr = VecCreateSeq(PETSC_COMM_SELF,0,&mumps->b_seq);CHKERRQ(ierr);
1525       ierr = ISCreateStride(PETSC_COMM_SELF,0,0,1,&is_iden);CHKERRQ(ierr);
1526     }
1527     ierr = MatCreateVecs(A,NULL,&b);CHKERRQ(ierr);
1528     ierr = VecScatterCreate(b,is_iden,mumps->b_seq,is_iden,&mumps->scat_rhs);CHKERRQ(ierr);
1529     ierr = ISDestroy(&is_iden);CHKERRQ(ierr);
1530     ierr = VecDestroy(&b);CHKERRQ(ierr);
1531     break;
1532   }
1533   PetscMUMPS_c(&mumps->id);
1534   ierr = MatFactorSymbolic_MUMPS_ReportIfError(F,A,info,mumps);CHKERRQ(ierr);
1535 
1536   F->ops->lufactornumeric = MatFactorNumeric_MUMPS;
1537   F->ops->solve           = MatSolve_MUMPS;
1538   F->ops->solvetranspose  = MatSolveTranspose_MUMPS;
1539   PetscFunctionReturn(0);
1540 }
1541 
1542 /* Note the Petsc r permutation and factor info are ignored */
1543 #undef __FUNCT__
1544 #define __FUNCT__ "MatCholeskyFactorSymbolic_MUMPS"
1545 PetscErrorCode MatCholeskyFactorSymbolic_MUMPS(Mat F,Mat A,IS r,const MatFactorInfo *info)
1546 {
1547   Mat_MUMPS      *mumps = (Mat_MUMPS*)F->spptr;
1548   PetscErrorCode ierr;
1549   Vec            b;
1550   IS             is_iden;
1551   const PetscInt M = A->rmap->N;
1552 
1553   PetscFunctionBegin;
1554   mumps->matstruc = DIFFERENT_NONZERO_PATTERN;
1555 
1556   /* Set MUMPS options from the options database */
1557   ierr = PetscSetMUMPSFromOptions(F,A);CHKERRQ(ierr);
1558 
1559   ierr = (*mumps->ConvertToTriples)(A, 1, MAT_INITIAL_MATRIX, &mumps->nz, &mumps->irn, &mumps->jcn, &mumps->val);CHKERRQ(ierr);
1560 
1561   /* analysis phase */
1562   /*----------------*/
1563   mumps->id.job = JOB_FACTSYMBOLIC;
1564   mumps->id.n   = M;
1565   switch (mumps->id.ICNTL(18)) {
1566   case 0:  /* centralized assembled matrix input */
1567     if (!mumps->myid) {
1568       mumps->id.nz =mumps->nz; mumps->id.irn=mumps->irn; mumps->id.jcn=mumps->jcn;
1569       if (mumps->id.ICNTL(6)>1) {
1570         mumps->id.a = (MumpsScalar*)mumps->val;
1571       }
1572     }
1573     break;
1574   case 3:  /* distributed assembled matrix input (size>1) */
1575     mumps->id.nz_loc = mumps->nz;
1576     mumps->id.irn_loc=mumps->irn; mumps->id.jcn_loc=mumps->jcn;
1577     if (mumps->id.ICNTL(6)>1) {
1578       mumps->id.a_loc = (MumpsScalar*)mumps->val;
1579     }
1580     /* MUMPS only supports centralized rhs. Create scatter scat_rhs for repeated use in MatSolve() */
1581     if (!mumps->myid) {
1582       ierr = VecCreateSeq(PETSC_COMM_SELF,A->cmap->N,&mumps->b_seq);CHKERRQ(ierr);
1583       ierr = ISCreateStride(PETSC_COMM_SELF,A->cmap->N,0,1,&is_iden);CHKERRQ(ierr);
1584     } else {
1585       ierr = VecCreateSeq(PETSC_COMM_SELF,0,&mumps->b_seq);CHKERRQ(ierr);
1586       ierr = ISCreateStride(PETSC_COMM_SELF,0,0,1,&is_iden);CHKERRQ(ierr);
1587     }
1588     ierr = MatCreateVecs(A,NULL,&b);CHKERRQ(ierr);
1589     ierr = VecScatterCreate(b,is_iden,mumps->b_seq,is_iden,&mumps->scat_rhs);CHKERRQ(ierr);
1590     ierr = ISDestroy(&is_iden);CHKERRQ(ierr);
1591     ierr = VecDestroy(&b);CHKERRQ(ierr);
1592     break;
1593   }
1594   PetscMUMPS_c(&mumps->id);
1595   ierr = MatFactorSymbolic_MUMPS_ReportIfError(F,A,info,mumps);CHKERRQ(ierr);
1596 
1597 
1598   F->ops->choleskyfactornumeric = MatFactorNumeric_MUMPS;
1599   F->ops->solve                 = MatSolve_MUMPS;
1600   F->ops->solvetranspose        = MatSolve_MUMPS;
1601   F->ops->matsolve              = MatMatSolve_MUMPS;
1602 #if defined(PETSC_USE_COMPLEX)
1603   F->ops->getinertia = NULL;
1604 #else
1605   F->ops->getinertia = MatGetInertia_SBAIJMUMPS;
1606 #endif
1607   PetscFunctionReturn(0);
1608 }
1609 
1610 #undef __FUNCT__
1611 #define __FUNCT__ "MatView_MUMPS"
1612 PetscErrorCode MatView_MUMPS(Mat A,PetscViewer viewer)
1613 {
1614   PetscErrorCode    ierr;
1615   PetscBool         iascii;
1616   PetscViewerFormat format;
1617   Mat_MUMPS         *mumps=(Mat_MUMPS*)A->spptr;
1618 
1619   PetscFunctionBegin;
1620   /* check if matrix is mumps type */
1621   if (A->ops->solve != MatSolve_MUMPS) PetscFunctionReturn(0);
1622 
1623   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&iascii);CHKERRQ(ierr);
1624   if (iascii) {
1625     ierr = PetscViewerGetFormat(viewer,&format);CHKERRQ(ierr);
1626     if (format == PETSC_VIEWER_ASCII_INFO) {
1627       ierr = PetscViewerASCIIPrintf(viewer,"MUMPS run parameters:\n");CHKERRQ(ierr);
1628       ierr = PetscViewerASCIIPrintf(viewer,"  SYM (matrix type):                   %d \n",mumps->id.sym);CHKERRQ(ierr);
1629       ierr = PetscViewerASCIIPrintf(viewer,"  PAR (host participation):            %d \n",mumps->id.par);CHKERRQ(ierr);
1630       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(1) (output for error):         %d \n",mumps->id.ICNTL(1));CHKERRQ(ierr);
1631       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(2) (output of diagnostic msg): %d \n",mumps->id.ICNTL(2));CHKERRQ(ierr);
1632       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(3) (output for global info):   %d \n",mumps->id.ICNTL(3));CHKERRQ(ierr);
1633       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(4) (level of printing):        %d \n",mumps->id.ICNTL(4));CHKERRQ(ierr);
1634       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(5) (input mat struct):         %d \n",mumps->id.ICNTL(5));CHKERRQ(ierr);
1635       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(6) (matrix prescaling):        %d \n",mumps->id.ICNTL(6));CHKERRQ(ierr);
1636       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(7) (sequentia matrix ordering):%d \n",mumps->id.ICNTL(7));CHKERRQ(ierr);
1637       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(8) (scalling strategy):        %d \n",mumps->id.ICNTL(8));CHKERRQ(ierr);
1638       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(10) (max num of refinements):  %d \n",mumps->id.ICNTL(10));CHKERRQ(ierr);
1639       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(11) (error analysis):          %d \n",mumps->id.ICNTL(11));CHKERRQ(ierr);
1640       if (mumps->id.ICNTL(11)>0) {
1641         ierr = PetscViewerASCIIPrintf(viewer,"    RINFOG(4) (inf norm of input mat):        %g\n",mumps->id.RINFOG(4));CHKERRQ(ierr);
1642         ierr = PetscViewerASCIIPrintf(viewer,"    RINFOG(5) (inf norm of solution):         %g\n",mumps->id.RINFOG(5));CHKERRQ(ierr);
1643         ierr = PetscViewerASCIIPrintf(viewer,"    RINFOG(6) (inf norm of residual):         %g\n",mumps->id.RINFOG(6));CHKERRQ(ierr);
1644         ierr = PetscViewerASCIIPrintf(viewer,"    RINFOG(7),RINFOG(8) (backward error est): %g, %g\n",mumps->id.RINFOG(7),mumps->id.RINFOG(8));CHKERRQ(ierr);
1645         ierr = PetscViewerASCIIPrintf(viewer,"    RINFOG(9) (error estimate):               %g \n",mumps->id.RINFOG(9));CHKERRQ(ierr);
1646         ierr = PetscViewerASCIIPrintf(viewer,"    RINFOG(10),RINFOG(11)(condition numbers): %g, %g\n",mumps->id.RINFOG(10),mumps->id.RINFOG(11));CHKERRQ(ierr);
1647       }
1648       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(12) (efficiency control):                         %d \n",mumps->id.ICNTL(12));CHKERRQ(ierr);
1649       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(13) (efficiency control):                         %d \n",mumps->id.ICNTL(13));CHKERRQ(ierr);
1650       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(14) (percentage of estimated workspace increase): %d \n",mumps->id.ICNTL(14));CHKERRQ(ierr);
1651       /* ICNTL(15-17) not used */
1652       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(18) (input mat struct):                           %d \n",mumps->id.ICNTL(18));CHKERRQ(ierr);
1653       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(19) (Shur complement info):                       %d \n",mumps->id.ICNTL(19));CHKERRQ(ierr);
1654       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(20) (rhs sparse pattern):                         %d \n",mumps->id.ICNTL(20));CHKERRQ(ierr);
1655       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(21) (solution struct):                            %d \n",mumps->id.ICNTL(21));CHKERRQ(ierr);
1656       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(22) (in-core/out-of-core facility):               %d \n",mumps->id.ICNTL(22));CHKERRQ(ierr);
1657       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(23) (max size of memory can be allocated locally):%d \n",mumps->id.ICNTL(23));CHKERRQ(ierr);
1658 
1659       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(24) (detection of null pivot rows):               %d \n",mumps->id.ICNTL(24));CHKERRQ(ierr);
1660       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(25) (computation of a null space basis):          %d \n",mumps->id.ICNTL(25));CHKERRQ(ierr);
1661       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(26) (Schur options for rhs or solution):          %d \n",mumps->id.ICNTL(26));CHKERRQ(ierr);
1662       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(27) (experimental parameter):                     %d \n",mumps->id.ICNTL(27));CHKERRQ(ierr);
1663       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(28) (use parallel or sequential ordering):        %d \n",mumps->id.ICNTL(28));CHKERRQ(ierr);
1664       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(29) (parallel ordering):                          %d \n",mumps->id.ICNTL(29));CHKERRQ(ierr);
1665 
1666       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(30) (user-specified set of entries in inv(A)):    %d \n",mumps->id.ICNTL(30));CHKERRQ(ierr);
1667       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(31) (factors is discarded in the solve phase):    %d \n",mumps->id.ICNTL(31));CHKERRQ(ierr);
1668       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(33) (compute determinant):                        %d \n",mumps->id.ICNTL(33));CHKERRQ(ierr);
1669 
1670       ierr = PetscViewerASCIIPrintf(viewer,"  CNTL(1) (relative pivoting threshold):      %g \n",mumps->id.CNTL(1));CHKERRQ(ierr);
1671       ierr = PetscViewerASCIIPrintf(viewer,"  CNTL(2) (stopping criterion of refinement): %g \n",mumps->id.CNTL(2));CHKERRQ(ierr);
1672       ierr = PetscViewerASCIIPrintf(viewer,"  CNTL(3) (absolute pivoting threshold):      %g \n",mumps->id.CNTL(3));CHKERRQ(ierr);
1673       ierr = PetscViewerASCIIPrintf(viewer,"  CNTL(4) (value of static pivoting):         %g \n",mumps->id.CNTL(4));CHKERRQ(ierr);
1674       ierr = PetscViewerASCIIPrintf(viewer,"  CNTL(5) (fixation for null pivots):         %g \n",mumps->id.CNTL(5));CHKERRQ(ierr);
1675 
1676       /* infomation local to each processor */
1677       ierr = PetscViewerASCIIPrintf(viewer, "  RINFO(1) (local estimated flops for the elimination after analysis): \n");CHKERRQ(ierr);
1678       ierr = PetscViewerASCIIPushSynchronized(viewer);CHKERRQ(ierr);
1679       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"    [%d] %g \n",mumps->myid,mumps->id.RINFO(1));CHKERRQ(ierr);
1680       ierr = PetscViewerFlush(viewer);
1681       ierr = PetscViewerASCIIPrintf(viewer, "  RINFO(2) (local estimated flops for the assembly after factorization): \n");CHKERRQ(ierr);
1682       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"    [%d]  %g \n",mumps->myid,mumps->id.RINFO(2));CHKERRQ(ierr);
1683       ierr = PetscViewerFlush(viewer);
1684       ierr = PetscViewerASCIIPrintf(viewer, "  RINFO(3) (local estimated flops for the elimination after factorization): \n");CHKERRQ(ierr);
1685       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"    [%d]  %g \n",mumps->myid,mumps->id.RINFO(3));CHKERRQ(ierr);
1686       ierr = PetscViewerFlush(viewer);
1687 
1688       ierr = PetscViewerASCIIPrintf(viewer, "  INFO(15) (estimated size of (in MB) MUMPS internal data for running numerical factorization): \n");CHKERRQ(ierr);
1689       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"  [%d] %d \n",mumps->myid,mumps->id.INFO(15));CHKERRQ(ierr);
1690       ierr = PetscViewerFlush(viewer);
1691 
1692       ierr = PetscViewerASCIIPrintf(viewer, "  INFO(16) (size of (in MB) MUMPS internal data used during numerical factorization): \n");CHKERRQ(ierr);
1693       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"    [%d] %d \n",mumps->myid,mumps->id.INFO(16));CHKERRQ(ierr);
1694       ierr = PetscViewerFlush(viewer);
1695 
1696       ierr = PetscViewerASCIIPrintf(viewer, "  INFO(23) (num of pivots eliminated on this processor after factorization): \n");CHKERRQ(ierr);
1697       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"    [%d] %d \n",mumps->myid,mumps->id.INFO(23));CHKERRQ(ierr);
1698       ierr = PetscViewerFlush(viewer);
1699 
1700       if (mumps->ninfo && mumps->ninfo <= 40){
1701         PetscInt i;
1702         for (i=0; i<mumps->ninfo; i++){
1703           ierr = PetscViewerASCIIPrintf(viewer, "  INFO(%d): \n",mumps->info[i]);CHKERRQ(ierr);
1704           ierr = PetscViewerASCIISynchronizedPrintf(viewer,"    [%d] %d \n",mumps->myid,mumps->id.INFO(mumps->info[i]));CHKERRQ(ierr);
1705           ierr = PetscViewerFlush(viewer);
1706         }
1707       }
1708 
1709 
1710       ierr = PetscViewerASCIIPopSynchronized(viewer);CHKERRQ(ierr);
1711 
1712       if (!mumps->myid) { /* information from the host */
1713         ierr = PetscViewerASCIIPrintf(viewer,"  RINFOG(1) (global estimated flops for the elimination after analysis): %g \n",mumps->id.RINFOG(1));CHKERRQ(ierr);
1714         ierr = PetscViewerASCIIPrintf(viewer,"  RINFOG(2) (global estimated flops for the assembly after factorization): %g \n",mumps->id.RINFOG(2));CHKERRQ(ierr);
1715         ierr = PetscViewerASCIIPrintf(viewer,"  RINFOG(3) (global estimated flops for the elimination after factorization): %g \n",mumps->id.RINFOG(3));CHKERRQ(ierr);
1716         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);
1717 
1718         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(3) (estimated real workspace for factors on all processors after analysis): %d \n",mumps->id.INFOG(3));CHKERRQ(ierr);
1719         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(4) (estimated integer workspace for factors on all processors after analysis): %d \n",mumps->id.INFOG(4));CHKERRQ(ierr);
1720         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(5) (estimated maximum front size in the complete tree): %d \n",mumps->id.INFOG(5));CHKERRQ(ierr);
1721         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(6) (number of nodes in the complete tree): %d \n",mumps->id.INFOG(6));CHKERRQ(ierr);
1722         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(7) (ordering option effectively use after analysis): %d \n",mumps->id.INFOG(7));CHKERRQ(ierr);
1723         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(8) (structural symmetry in percent of the permuted matrix after analysis): %d \n",mumps->id.INFOG(8));CHKERRQ(ierr);
1724         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(9) (total real/complex workspace to store the matrix factors after factorization): %d \n",mumps->id.INFOG(9));CHKERRQ(ierr);
1725         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(10) (total integer space store the matrix factors after factorization): %d \n",mumps->id.INFOG(10));CHKERRQ(ierr);
1726         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(11) (order of largest frontal matrix after factorization): %d \n",mumps->id.INFOG(11));CHKERRQ(ierr);
1727         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(12) (number of off-diagonal pivots): %d \n",mumps->id.INFOG(12));CHKERRQ(ierr);
1728         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(13) (number of delayed pivots after factorization): %d \n",mumps->id.INFOG(13));CHKERRQ(ierr);
1729         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(14) (number of memory compress after factorization): %d \n",mumps->id.INFOG(14));CHKERRQ(ierr);
1730         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(15) (number of steps of iterative refinement after solution): %d \n",mumps->id.INFOG(15));CHKERRQ(ierr);
1731         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);
1732         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);
1733         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);
1734         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);
1735         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(20) (estimated number of entries in the factors): %d \n",mumps->id.INFOG(20));CHKERRQ(ierr);
1736         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);
1737         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);
1738         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(23) (after analysis: value of ICNTL(6) effectively used): %d \n",mumps->id.INFOG(23));CHKERRQ(ierr);
1739         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(24) (after analysis: value of ICNTL(12) effectively used): %d \n",mumps->id.INFOG(24));CHKERRQ(ierr);
1740         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(25) (after factorization: number of pivots modified by static pivoting): %d \n",mumps->id.INFOG(25));CHKERRQ(ierr);
1741         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(28) (after factorization: number of null pivots encountered): %d\n",mumps->id.INFOG(28));CHKERRQ(ierr);
1742         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);
1743         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);
1744         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(32) (after analysis: type of analysis done): %d\n",mumps->id.INFOG(32));CHKERRQ(ierr);
1745         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(33) (value used for ICNTL(8)): %d\n",mumps->id.INFOG(33));CHKERRQ(ierr);
1746         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(34) (exponent of the determinant if determinant is requested): %d\n",mumps->id.INFOG(34));CHKERRQ(ierr);
1747       }
1748     }
1749   }
1750   PetscFunctionReturn(0);
1751 }
1752 
1753 #undef __FUNCT__
1754 #define __FUNCT__ "MatGetInfo_MUMPS"
1755 PetscErrorCode MatGetInfo_MUMPS(Mat A,MatInfoType flag,MatInfo *info)
1756 {
1757   Mat_MUMPS *mumps =(Mat_MUMPS*)A->spptr;
1758 
1759   PetscFunctionBegin;
1760   info->block_size        = 1.0;
1761   info->nz_allocated      = mumps->id.INFOG(20);
1762   info->nz_used           = mumps->id.INFOG(20);
1763   info->nz_unneeded       = 0.0;
1764   info->assemblies        = 0.0;
1765   info->mallocs           = 0.0;
1766   info->memory            = 0.0;
1767   info->fill_ratio_given  = 0;
1768   info->fill_ratio_needed = 0;
1769   info->factor_mallocs    = 0;
1770   PetscFunctionReturn(0);
1771 }
1772 
1773 /* -------------------------------------------------------------------------------------------*/
1774 #undef __FUNCT__
1775 #define __FUNCT__ "MatFactorSetSchurIS_MUMPS"
1776 PetscErrorCode MatFactorSetSchurIS_MUMPS(Mat F, IS is)
1777 {
1778   Mat_MUMPS      *mumps =(Mat_MUMPS*)F->spptr;
1779   const PetscInt *idxs;
1780   PetscInt       size,i;
1781   PetscErrorCode ierr;
1782 
1783   PetscFunctionBegin;
1784   if (mumps->size > 1) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"MUMPS parallel Schur complements not yet supported from PETSc\n");
1785   ierr = ISGetLocalSize(is,&size);CHKERRQ(ierr);
1786   if (mumps->id.size_schur != size) {
1787     ierr = PetscFree2(mumps->id.listvar_schur,mumps->id.schur);CHKERRQ(ierr);
1788     mumps->id.size_schur = size;
1789     mumps->id.schur_lld = size;
1790     ierr = PetscMalloc2(size,&mumps->id.listvar_schur,size*size,&mumps->id.schur);CHKERRQ(ierr);
1791   }
1792   ierr = ISGetIndices(is,&idxs);CHKERRQ(ierr);
1793   ierr = PetscMemcpy(mumps->id.listvar_schur,idxs,size*sizeof(PetscInt));CHKERRQ(ierr);
1794   /* MUMPS expects Fortran style indices */
1795   for (i=0;i<size;i++) mumps->id.listvar_schur[i]++;
1796   ierr = ISRestoreIndices(is,&idxs);CHKERRQ(ierr);
1797   if (size) { /* turn on Schur switch if we the set of indices is not empty */
1798     if (F->factortype == MAT_FACTOR_LU) {
1799       mumps->id.ICNTL(19) = 3; /* MUMPS returns full matrix */
1800     } else {
1801       mumps->id.ICNTL(19) = 2; /* MUMPS returns lower triangular part */
1802     }
1803     /* set a special value of ICNTL (not handled my MUMPS) to be used in the solve phase by PETSc */
1804     mumps->id.ICNTL(26) = -1;
1805   }
1806   PetscFunctionReturn(0);
1807 }
1808 
1809 /* -------------------------------------------------------------------------------------------*/
1810 #undef __FUNCT__
1811 #define __FUNCT__ "MatFactorCreateSchurComplement_MUMPS"
1812 PetscErrorCode MatFactorCreateSchurComplement_MUMPS(Mat F,Mat* S)
1813 {
1814   Mat            St;
1815   Mat_MUMPS      *mumps =(Mat_MUMPS*)F->spptr;
1816   PetscScalar    *array;
1817 #if defined(PETSC_USE_COMPLEX)
1818   PetscScalar    im = PetscSqrtScalar((PetscScalar)-1.0);
1819 #endif
1820   PetscErrorCode ierr;
1821 
1822   PetscFunctionBegin;
1823   if (!mumps->id.ICNTL(19)) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur complement mode not selected! You should call MatFactorSetSchurIS to enable it");
1824   else if (!mumps->id.size_schur) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur indices not set! You should call MatFactorSetSchurIS before");
1825 
1826   ierr = MatCreate(PetscObjectComm((PetscObject)F),&St);CHKERRQ(ierr);
1827   ierr = MatSetSizes(St,PETSC_DECIDE,PETSC_DECIDE,mumps->id.size_schur,mumps->id.size_schur);CHKERRQ(ierr);
1828   ierr = MatSetType(St,MATDENSE);CHKERRQ(ierr);
1829   ierr = MatSetUp(St);CHKERRQ(ierr);
1830   ierr = MatDenseGetArray(St,&array);CHKERRQ(ierr);
1831   if (!mumps->sym) { /* MUMPS always return a full matrix */
1832     if (mumps->id.ICNTL(19) == 1) { /* stored by rows */
1833       PetscInt i,j,N=mumps->id.size_schur;
1834       for (i=0;i<N;i++) {
1835         for (j=0;j<N;j++) {
1836 #if !defined(PETSC_USE_COMPLEX)
1837           PetscScalar val = mumps->id.schur[i*N+j];
1838 #else
1839           PetscScalar val = mumps->id.schur[i*N+j].r + im*mumps->id.schur[i*N+j].i;
1840 #endif
1841           array[j*N+i] = val;
1842         }
1843       }
1844     } else { /* stored by columns */
1845       ierr = PetscMemcpy(array,mumps->id.schur,mumps->id.size_schur*mumps->id.size_schur*sizeof(PetscScalar));CHKERRQ(ierr);
1846     }
1847   } else { /* either full or lower-triangular (not packed) */
1848     if (mumps->id.ICNTL(19) == 2) { /* lower triangular stored by columns */
1849       PetscInt i,j,N=mumps->id.size_schur;
1850       for (i=0;i<N;i++) {
1851         for (j=i;j<N;j++) {
1852 #if !defined(PETSC_USE_COMPLEX)
1853           PetscScalar val = mumps->id.schur[i*N+j];
1854 #else
1855           PetscScalar val = mumps->id.schur[i*N+j].r + im*mumps->id.schur[i*N+j].i;
1856 #endif
1857           array[i*N+j] = val;
1858           array[j*N+i] = val;
1859         }
1860       }
1861     } else if (mumps->id.ICNTL(19) == 3) { /* full matrix */
1862       ierr = PetscMemcpy(array,mumps->id.schur,mumps->id.size_schur*mumps->id.size_schur*sizeof(PetscScalar));CHKERRQ(ierr);
1863     } else { /* ICNTL(19) == 1 lower triangular stored by rows */
1864       PetscInt i,j,N=mumps->id.size_schur;
1865       for (i=0;i<N;i++) {
1866         for (j=0;j<i+1;j++) {
1867 #if !defined(PETSC_USE_COMPLEX)
1868           PetscScalar val = mumps->id.schur[i*N+j];
1869 #else
1870           PetscScalar val = mumps->id.schur[i*N+j].r + im*mumps->id.schur[i*N+j].i;
1871 #endif
1872           array[i*N+j] = val;
1873           array[j*N+i] = val;
1874         }
1875       }
1876     }
1877   }
1878   ierr = MatDenseRestoreArray(St,&array);CHKERRQ(ierr);
1879   *S = St;
1880   PetscFunctionReturn(0);
1881 }
1882 
1883 /* -------------------------------------------------------------------------------------------*/
1884 #undef __FUNCT__
1885 #define __FUNCT__ "MatFactorGetSchurComplement_MUMPS"
1886 PetscErrorCode MatFactorGetSchurComplement_MUMPS(Mat F,Mat* S)
1887 {
1888   Mat            St;
1889   Mat_MUMPS      *mumps =(Mat_MUMPS*)F->spptr;
1890   PetscErrorCode ierr;
1891 
1892   PetscFunctionBegin;
1893   if (!mumps->id.ICNTL(19)) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur complement mode not selected! You should call MatFactorSetSchurIS to enable it");
1894   else if (!mumps->id.size_schur) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur indices not set! You should call MatFactorSetSchurIS before");
1895 
1896   /* 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 */
1897   ierr = MatCreateSeqDense(PetscObjectComm((PetscObject)F),mumps->id.size_schur,mumps->id.size_schur,(PetscScalar*)mumps->id.schur,&St);CHKERRQ(ierr);
1898   *S = St;
1899   PetscFunctionReturn(0);
1900 }
1901 
1902 /* -------------------------------------------------------------------------------------------*/
1903 #undef __FUNCT__
1904 #define __FUNCT__ "MatFactorFactorizeSchurComplement_MUMPS"
1905 PetscErrorCode MatFactorFactorizeSchurComplement_MUMPS(Mat F)
1906 {
1907   Mat_MUMPS      *mumps =(Mat_MUMPS*)F->spptr;
1908   PetscErrorCode ierr;
1909 
1910   PetscFunctionBegin;
1911   if (!mumps->id.ICNTL(19)) { /* do nothing */
1912     PetscFunctionReturn(0);
1913   }
1914   if (!mumps->id.size_schur) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur indices not set! You should call MatMumpsSetSchurIndices before");
1915   ierr = MatMumpsFactorSchur_Private(mumps);CHKERRQ(ierr);
1916   PetscFunctionReturn(0);
1917 }
1918 
1919 #undef __FUNCT__
1920 #define __FUNCT__ "MatFactorInvertSchurComplement_MUMPS"
1921 PetscErrorCode MatFactorInvertSchurComplement_MUMPS(Mat F)
1922 {
1923   Mat_MUMPS      *mumps =(Mat_MUMPS*)F->spptr;
1924   PetscErrorCode ierr;
1925 
1926   PetscFunctionBegin;
1927   if (!mumps->id.ICNTL(19)) { /* do nothing */
1928     PetscFunctionReturn(0);
1929   }
1930   if (!mumps->id.size_schur) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur indices not set! You should call MatFactorSetSchurIS before");
1931   ierr = MatMumpsInvertSchur_Private(mumps);CHKERRQ(ierr);
1932   PetscFunctionReturn(0);
1933 }
1934 
1935 /* -------------------------------------------------------------------------------------------*/
1936 #undef __FUNCT__
1937 #define __FUNCT__ "MatFactorSolveSchurComplement_MUMPS"
1938 PetscErrorCode MatFactorSolveSchurComplement_MUMPS(Mat F, Vec rhs, Vec sol)
1939 {
1940   Mat_MUMPS      *mumps =(Mat_MUMPS*)F->spptr;
1941   MumpsScalar    *orhs;
1942   PetscScalar    *osol,*nrhs,*nsol;
1943   PetscInt       orhs_size,osol_size,olrhs_size;
1944   PetscErrorCode ierr;
1945 
1946   PetscFunctionBegin;
1947   if (!mumps->id.ICNTL(19)) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur complement mode not selected! You should call MatFactorSetSchurIS to enable it");
1948   if (!mumps->id.size_schur) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur indices not set! You should call MatFactorSetSchurIS before");
1949 
1950   /* swap pointers */
1951   orhs = mumps->id.redrhs;
1952   olrhs_size = mumps->id.lredrhs;
1953   orhs_size = mumps->sizeredrhs;
1954   osol = mumps->schur_sol;
1955   osol_size = mumps->schur_sizesol;
1956   ierr = VecGetArray(rhs,&nrhs);CHKERRQ(ierr);
1957   ierr = VecGetArray(sol,&nsol);CHKERRQ(ierr);
1958   mumps->id.redrhs = (MumpsScalar*)nrhs;
1959   ierr = VecGetLocalSize(rhs,&mumps->sizeredrhs);CHKERRQ(ierr);
1960   mumps->id.lredrhs = mumps->sizeredrhs;
1961   mumps->schur_sol = nsol;
1962   ierr = VecGetLocalSize(sol,&mumps->schur_sizesol);CHKERRQ(ierr);
1963 
1964   /* solve Schur complement */
1965   mumps->id.nrhs = 1;
1966   ierr = MatMumpsSolveSchur_Private(mumps,PETSC_FALSE);CHKERRQ(ierr);
1967   /* restore pointers */
1968   ierr = VecRestoreArray(rhs,&nrhs);CHKERRQ(ierr);
1969   ierr = VecRestoreArray(sol,&nsol);CHKERRQ(ierr);
1970   mumps->id.redrhs = orhs;
1971   mumps->id.lredrhs = olrhs_size;
1972   mumps->sizeredrhs = orhs_size;
1973   mumps->schur_sol = osol;
1974   mumps->schur_sizesol = osol_size;
1975   PetscFunctionReturn(0);
1976 }
1977 
1978 /* -------------------------------------------------------------------------------------------*/
1979 #undef __FUNCT__
1980 #define __FUNCT__ "MatFactorSolveSchurComplementTranspose_MUMPS"
1981 PetscErrorCode MatFactorSolveSchurComplementTranspose_MUMPS(Mat F, Vec rhs, Vec sol)
1982 {
1983   Mat_MUMPS      *mumps =(Mat_MUMPS*)F->spptr;
1984   MumpsScalar    *orhs;
1985   PetscScalar    *osol,*nrhs,*nsol;
1986   PetscInt       orhs_size,osol_size;
1987   PetscErrorCode ierr;
1988 
1989   PetscFunctionBegin;
1990   if (!mumps->id.ICNTL(19)) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur complement mode not selected! You should call MatFactorSetSchurIS to enable it");
1991   else if (!mumps->id.size_schur) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur indices not set! You should call MatFactorSetSchurIS before");
1992 
1993   /* swap pointers */
1994   orhs = mumps->id.redrhs;
1995   orhs_size = mumps->sizeredrhs;
1996   osol = mumps->schur_sol;
1997   osol_size = mumps->schur_sizesol;
1998   ierr = VecGetArray(rhs,&nrhs);CHKERRQ(ierr);
1999   ierr = VecGetArray(sol,&nsol);CHKERRQ(ierr);
2000   mumps->id.redrhs = (MumpsScalar*)nrhs;
2001   ierr = VecGetLocalSize(rhs,&mumps->sizeredrhs);CHKERRQ(ierr);
2002   mumps->schur_sol = nsol;
2003   ierr = VecGetLocalSize(sol,&mumps->schur_sizesol);CHKERRQ(ierr);
2004 
2005   /* solve Schur complement */
2006   mumps->id.nrhs = 1;
2007   mumps->id.ICNTL(9) = 0;
2008   ierr = MatMumpsSolveSchur_Private(mumps,PETSC_FALSE);CHKERRQ(ierr);
2009   mumps->id.ICNTL(9) = 1;
2010   /* restore pointers */
2011   ierr = VecRestoreArray(rhs,&nrhs);CHKERRQ(ierr);
2012   ierr = VecRestoreArray(sol,&nsol);CHKERRQ(ierr);
2013   mumps->id.redrhs = orhs;
2014   mumps->sizeredrhs = orhs_size;
2015   mumps->schur_sol = osol;
2016   mumps->schur_sizesol = osol_size;
2017   PetscFunctionReturn(0);
2018 }
2019 
2020 /* -------------------------------------------------------------------------------------------*/
2021 #undef __FUNCT__
2022 #define __FUNCT__ "MatFactorSetSchurComplementSolverType_MUMPS"
2023 PetscErrorCode MatFactorSetSchurComplementSolverType_MUMPS(Mat F, PetscInt sym)
2024 {
2025   Mat_MUMPS *mumps =(Mat_MUMPS*)F->spptr;
2026 
2027   PetscFunctionBegin;
2028   if (mumps->schur_factored && mumps->sym != mumps->schur_sym) {
2029     SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ARG_WRONG,"Cannot change the Schur solver! Schur complement data has been already factored");
2030   }
2031   mumps->schur_sym = sym;
2032   PetscFunctionReturn(0);
2033 }
2034 
2035 /* -------------------------------------------------------------------------------------------*/
2036 #undef __FUNCT__
2037 #define __FUNCT__ "MatMumpsSetIcntl_MUMPS"
2038 PetscErrorCode MatMumpsSetIcntl_MUMPS(Mat F,PetscInt icntl,PetscInt ival)
2039 {
2040   Mat_MUMPS *mumps =(Mat_MUMPS*)F->spptr;
2041 
2042   PetscFunctionBegin;
2043   mumps->id.ICNTL(icntl) = ival;
2044   PetscFunctionReturn(0);
2045 }
2046 
2047 #undef __FUNCT__
2048 #define __FUNCT__ "MatMumpsGetIcntl_MUMPS"
2049 PetscErrorCode MatMumpsGetIcntl_MUMPS(Mat F,PetscInt icntl,PetscInt *ival)
2050 {
2051   Mat_MUMPS *mumps =(Mat_MUMPS*)F->spptr;
2052 
2053   PetscFunctionBegin;
2054   *ival = mumps->id.ICNTL(icntl);
2055   PetscFunctionReturn(0);
2056 }
2057 
2058 #undef __FUNCT__
2059 #define __FUNCT__ "MatMumpsSetIcntl"
2060 /*@
2061   MatMumpsSetIcntl - Set MUMPS parameter ICNTL()
2062 
2063    Logically Collective on Mat
2064 
2065    Input Parameters:
2066 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
2067 .  icntl - index of MUMPS parameter array ICNTL()
2068 -  ival - value of MUMPS ICNTL(icntl)
2069 
2070   Options Database:
2071 .   -mat_mumps_icntl_<icntl> <ival>
2072 
2073    Level: beginner
2074 
2075    References:
2076 .     MUMPS Users' Guide
2077 
2078 .seealso: MatGetFactor()
2079 @*/
2080 PetscErrorCode MatMumpsSetIcntl(Mat F,PetscInt icntl,PetscInt ival)
2081 {
2082   PetscErrorCode ierr;
2083 
2084   PetscFunctionBegin;
2085   PetscValidType(F,1);
2086   if (!F->factortype) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ARG_WRONGSTATE,"Only for factored matrix");
2087   PetscValidLogicalCollectiveInt(F,icntl,2);
2088   PetscValidLogicalCollectiveInt(F,ival,3);
2089   ierr = PetscTryMethod(F,"MatMumpsSetIcntl_C",(Mat,PetscInt,PetscInt),(F,icntl,ival));CHKERRQ(ierr);
2090   PetscFunctionReturn(0);
2091 }
2092 
2093 #undef __FUNCT__
2094 #define __FUNCT__ "MatMumpsGetIcntl"
2095 /*@
2096   MatMumpsGetIcntl - Get MUMPS parameter ICNTL()
2097 
2098    Logically Collective on Mat
2099 
2100    Input Parameters:
2101 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
2102 -  icntl - index of MUMPS parameter array ICNTL()
2103 
2104   Output Parameter:
2105 .  ival - value of MUMPS ICNTL(icntl)
2106 
2107    Level: beginner
2108 
2109    References:
2110 .     MUMPS Users' Guide
2111 
2112 .seealso: MatGetFactor()
2113 @*/
2114 PetscErrorCode MatMumpsGetIcntl(Mat F,PetscInt icntl,PetscInt *ival)
2115 {
2116   PetscErrorCode ierr;
2117 
2118   PetscFunctionBegin;
2119   PetscValidType(F,1);
2120   if (!F->factortype) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ARG_WRONGSTATE,"Only for factored matrix");
2121   PetscValidLogicalCollectiveInt(F,icntl,2);
2122   PetscValidIntPointer(ival,3);
2123   ierr = PetscUseMethod(F,"MatMumpsGetIcntl_C",(Mat,PetscInt,PetscInt*),(F,icntl,ival));CHKERRQ(ierr);
2124   PetscFunctionReturn(0);
2125 }
2126 
2127 /* -------------------------------------------------------------------------------------------*/
2128 #undef __FUNCT__
2129 #define __FUNCT__ "MatMumpsSetCntl_MUMPS"
2130 PetscErrorCode MatMumpsSetCntl_MUMPS(Mat F,PetscInt icntl,PetscReal val)
2131 {
2132   Mat_MUMPS *mumps =(Mat_MUMPS*)F->spptr;
2133 
2134   PetscFunctionBegin;
2135   mumps->id.CNTL(icntl) = val;
2136   PetscFunctionReturn(0);
2137 }
2138 
2139 #undef __FUNCT__
2140 #define __FUNCT__ "MatMumpsGetCntl_MUMPS"
2141 PetscErrorCode MatMumpsGetCntl_MUMPS(Mat F,PetscInt icntl,PetscReal *val)
2142 {
2143   Mat_MUMPS *mumps =(Mat_MUMPS*)F->spptr;
2144 
2145   PetscFunctionBegin;
2146   *val = mumps->id.CNTL(icntl);
2147   PetscFunctionReturn(0);
2148 }
2149 
2150 #undef __FUNCT__
2151 #define __FUNCT__ "MatMumpsSetCntl"
2152 /*@
2153   MatMumpsSetCntl - Set MUMPS parameter CNTL()
2154 
2155    Logically Collective on Mat
2156 
2157    Input Parameters:
2158 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
2159 .  icntl - index of MUMPS parameter array CNTL()
2160 -  val - value of MUMPS CNTL(icntl)
2161 
2162   Options Database:
2163 .   -mat_mumps_cntl_<icntl> <val>
2164 
2165    Level: beginner
2166 
2167    References:
2168 .     MUMPS Users' Guide
2169 
2170 .seealso: MatGetFactor()
2171 @*/
2172 PetscErrorCode MatMumpsSetCntl(Mat F,PetscInt icntl,PetscReal val)
2173 {
2174   PetscErrorCode ierr;
2175 
2176   PetscFunctionBegin;
2177   PetscValidType(F,1);
2178   if (!F->factortype) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ARG_WRONGSTATE,"Only for factored matrix");
2179   PetscValidLogicalCollectiveInt(F,icntl,2);
2180   PetscValidLogicalCollectiveReal(F,val,3);
2181   ierr = PetscTryMethod(F,"MatMumpsSetCntl_C",(Mat,PetscInt,PetscReal),(F,icntl,val));CHKERRQ(ierr);
2182   PetscFunctionReturn(0);
2183 }
2184 
2185 #undef __FUNCT__
2186 #define __FUNCT__ "MatMumpsGetCntl"
2187 /*@
2188   MatMumpsGetCntl - Get MUMPS parameter CNTL()
2189 
2190    Logically Collective on Mat
2191 
2192    Input Parameters:
2193 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
2194 -  icntl - index of MUMPS parameter array CNTL()
2195 
2196   Output Parameter:
2197 .  val - value of MUMPS CNTL(icntl)
2198 
2199    Level: beginner
2200 
2201    References:
2202 .      MUMPS Users' Guide
2203 
2204 .seealso: MatGetFactor()
2205 @*/
2206 PetscErrorCode MatMumpsGetCntl(Mat F,PetscInt icntl,PetscReal *val)
2207 {
2208   PetscErrorCode ierr;
2209 
2210   PetscFunctionBegin;
2211   PetscValidType(F,1);
2212   if (!F->factortype) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ARG_WRONGSTATE,"Only for factored matrix");
2213   PetscValidLogicalCollectiveInt(F,icntl,2);
2214   PetscValidRealPointer(val,3);
2215   ierr = PetscUseMethod(F,"MatMumpsGetCntl_C",(Mat,PetscInt,PetscReal*),(F,icntl,val));CHKERRQ(ierr);
2216   PetscFunctionReturn(0);
2217 }
2218 
2219 #undef __FUNCT__
2220 #define __FUNCT__ "MatMumpsGetInfo_MUMPS"
2221 PetscErrorCode MatMumpsGetInfo_MUMPS(Mat F,PetscInt icntl,PetscInt *info)
2222 {
2223   Mat_MUMPS *mumps =(Mat_MUMPS*)F->spptr;
2224 
2225   PetscFunctionBegin;
2226   *info = mumps->id.INFO(icntl);
2227   PetscFunctionReturn(0);
2228 }
2229 
2230 #undef __FUNCT__
2231 #define __FUNCT__ "MatMumpsGetInfog_MUMPS"
2232 PetscErrorCode MatMumpsGetInfog_MUMPS(Mat F,PetscInt icntl,PetscInt *infog)
2233 {
2234   Mat_MUMPS *mumps =(Mat_MUMPS*)F->spptr;
2235 
2236   PetscFunctionBegin;
2237   *infog = mumps->id.INFOG(icntl);
2238   PetscFunctionReturn(0);
2239 }
2240 
2241 #undef __FUNCT__
2242 #define __FUNCT__ "MatMumpsGetRinfo_MUMPS"
2243 PetscErrorCode MatMumpsGetRinfo_MUMPS(Mat F,PetscInt icntl,PetscReal *rinfo)
2244 {
2245   Mat_MUMPS *mumps =(Mat_MUMPS*)F->spptr;
2246 
2247   PetscFunctionBegin;
2248   *rinfo = mumps->id.RINFO(icntl);
2249   PetscFunctionReturn(0);
2250 }
2251 
2252 #undef __FUNCT__
2253 #define __FUNCT__ "MatMumpsGetRinfog_MUMPS"
2254 PetscErrorCode MatMumpsGetRinfog_MUMPS(Mat F,PetscInt icntl,PetscReal *rinfog)
2255 {
2256   Mat_MUMPS *mumps =(Mat_MUMPS*)F->spptr;
2257 
2258   PetscFunctionBegin;
2259   *rinfog = mumps->id.RINFOG(icntl);
2260   PetscFunctionReturn(0);
2261 }
2262 
2263 #undef __FUNCT__
2264 #define __FUNCT__ "MatMumpsGetInfo"
2265 /*@
2266   MatMumpsGetInfo - Get MUMPS parameter INFO()
2267 
2268    Logically Collective on Mat
2269 
2270    Input Parameters:
2271 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
2272 -  icntl - index of MUMPS parameter array INFO()
2273 
2274   Output Parameter:
2275 .  ival - value of MUMPS INFO(icntl)
2276 
2277    Level: beginner
2278 
2279    References:
2280 .      MUMPS Users' Guide
2281 
2282 .seealso: MatGetFactor()
2283 @*/
2284 PetscErrorCode MatMumpsGetInfo(Mat F,PetscInt icntl,PetscInt *ival)
2285 {
2286   PetscErrorCode ierr;
2287 
2288   PetscFunctionBegin;
2289   PetscValidType(F,1);
2290   if (!F->factortype) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ARG_WRONGSTATE,"Only for factored matrix");
2291   PetscValidIntPointer(ival,3);
2292   ierr = PetscUseMethod(F,"MatMumpsGetInfo_C",(Mat,PetscInt,PetscInt*),(F,icntl,ival));CHKERRQ(ierr);
2293   PetscFunctionReturn(0);
2294 }
2295 
2296 #undef __FUNCT__
2297 #define __FUNCT__ "MatMumpsGetInfog"
2298 /*@
2299   MatMumpsGetInfog - Get MUMPS parameter INFOG()
2300 
2301    Logically Collective on Mat
2302 
2303    Input Parameters:
2304 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
2305 -  icntl - index of MUMPS parameter array INFOG()
2306 
2307   Output Parameter:
2308 .  ival - value of MUMPS INFOG(icntl)
2309 
2310    Level: beginner
2311 
2312    References:
2313 .      MUMPS Users' Guide
2314 
2315 .seealso: MatGetFactor()
2316 @*/
2317 PetscErrorCode MatMumpsGetInfog(Mat F,PetscInt icntl,PetscInt *ival)
2318 {
2319   PetscErrorCode ierr;
2320 
2321   PetscFunctionBegin;
2322   PetscValidType(F,1);
2323   if (!F->factortype) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ARG_WRONGSTATE,"Only for factored matrix");
2324   PetscValidIntPointer(ival,3);
2325   ierr = PetscUseMethod(F,"MatMumpsGetInfog_C",(Mat,PetscInt,PetscInt*),(F,icntl,ival));CHKERRQ(ierr);
2326   PetscFunctionReturn(0);
2327 }
2328 
2329 #undef __FUNCT__
2330 #define __FUNCT__ "MatMumpsGetRinfo"
2331 /*@
2332   MatMumpsGetRinfo - Get MUMPS parameter RINFO()
2333 
2334    Logically Collective on Mat
2335 
2336    Input Parameters:
2337 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
2338 -  icntl - index of MUMPS parameter array RINFO()
2339 
2340   Output Parameter:
2341 .  val - value of MUMPS RINFO(icntl)
2342 
2343    Level: beginner
2344 
2345    References:
2346 .       MUMPS Users' Guide
2347 
2348 .seealso: MatGetFactor()
2349 @*/
2350 PetscErrorCode MatMumpsGetRinfo(Mat F,PetscInt icntl,PetscReal *val)
2351 {
2352   PetscErrorCode ierr;
2353 
2354   PetscFunctionBegin;
2355   PetscValidType(F,1);
2356   if (!F->factortype) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ARG_WRONGSTATE,"Only for factored matrix");
2357   PetscValidRealPointer(val,3);
2358   ierr = PetscUseMethod(F,"MatMumpsGetRinfo_C",(Mat,PetscInt,PetscReal*),(F,icntl,val));CHKERRQ(ierr);
2359   PetscFunctionReturn(0);
2360 }
2361 
2362 #undef __FUNCT__
2363 #define __FUNCT__ "MatMumpsGetRinfog"
2364 /*@
2365   MatMumpsGetRinfog - Get MUMPS parameter RINFOG()
2366 
2367    Logically Collective on Mat
2368 
2369    Input Parameters:
2370 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
2371 -  icntl - index of MUMPS parameter array RINFOG()
2372 
2373   Output Parameter:
2374 .  val - value of MUMPS RINFOG(icntl)
2375 
2376    Level: beginner
2377 
2378    References:
2379 .      MUMPS Users' Guide
2380 
2381 .seealso: MatGetFactor()
2382 @*/
2383 PetscErrorCode MatMumpsGetRinfog(Mat F,PetscInt icntl,PetscReal *val)
2384 {
2385   PetscErrorCode ierr;
2386 
2387   PetscFunctionBegin;
2388   PetscValidType(F,1);
2389   if (!F->factortype) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ARG_WRONGSTATE,"Only for factored matrix");
2390   PetscValidRealPointer(val,3);
2391   ierr = PetscUseMethod(F,"MatMumpsGetRinfog_C",(Mat,PetscInt,PetscReal*),(F,icntl,val));CHKERRQ(ierr);
2392   PetscFunctionReturn(0);
2393 }
2394 
2395 /*MC
2396   MATSOLVERMUMPS -  A matrix type providing direct solvers (LU and Cholesky) for
2397   distributed and sequential matrices via the external package MUMPS.
2398 
2399   Works with MATAIJ and MATSBAIJ matrices
2400 
2401   Use ./configure --download-mumps --download-scalapack --download-parmetis --download-metis --download-ptscotch  to have PETSc installed with MUMPS
2402 
2403   Use -pc_type cholesky or lu -pc_factor_mat_solver_package mumps to us this direct solver
2404 
2405   Options Database Keys:
2406 +  -mat_mumps_icntl_1 <6>: ICNTL(1): output stream for error messages (None)
2407 .  -mat_mumps_icntl_2 <0>: ICNTL(2): output stream for diagnostic printing, statistics, and warning (None)
2408 .  -mat_mumps_icntl_3 <0>: ICNTL(3): output stream for global information, collected on the host (None)
2409 .  -mat_mumps_icntl_4 <0>: ICNTL(4): level of printing (0 to 4) (None)
2410 .  -mat_mumps_icntl_6 <7>: ICNTL(6): permutes to a zero-free diagonal and/or scale the matrix (0 to 7) (None)
2411 .  -mat_mumps_icntl_7 <7>: ICNTL(7): computes a symmetric permutation in sequential analysis (0 to 7). 3=Scotch, 4=PORD, 5=Metis (None)
2412 .  -mat_mumps_icntl_8 <77>: ICNTL(8): scaling strategy (-2 to 8 or 77) (None)
2413 .  -mat_mumps_icntl_10 <0>: ICNTL(10): max num of refinements (None)
2414 .  -mat_mumps_icntl_11 <0>: ICNTL(11): statistics related to an error analysis (via -ksp_view) (None)
2415 .  -mat_mumps_icntl_12 <1>: ICNTL(12): an ordering strategy for symmetric matrices (0 to 3) (None)
2416 .  -mat_mumps_icntl_13 <0>: ICNTL(13): parallelism of the root node (enable ScaLAPACK) and its splitting (None)
2417 .  -mat_mumps_icntl_14 <20>: ICNTL(14): percentage increase in the estimated working space (None)
2418 .  -mat_mumps_icntl_19 <0>: ICNTL(19): computes the Schur complement (None)
2419 .  -mat_mumps_icntl_22 <0>: ICNTL(22): in-core/out-of-core factorization and solve (0 or 1) (None)
2420 .  -mat_mumps_icntl_23 <0>: ICNTL(23): max size of the working memory (MB) that can allocate per processor (None)
2421 .  -mat_mumps_icntl_24 <0>: ICNTL(24): detection of null pivot rows (0 or 1) (None)
2422 .  -mat_mumps_icntl_25 <0>: ICNTL(25): compute a solution of a deficient matrix and a null space basis (None)
2423 .  -mat_mumps_icntl_26 <0>: ICNTL(26): drives the solution phase if a Schur complement matrix (None)
2424 .  -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)
2425 .  -mat_mumps_icntl_29 <0>: ICNTL(29): parallel ordering 1 = ptscotch, 2 = parmetis (None)
2426 .  -mat_mumps_icntl_30 <0>: ICNTL(30): compute user-specified set of entries in inv(A) (None)
2427 .  -mat_mumps_icntl_31 <0>: ICNTL(31): indicates which factors may be discarded during factorization (None)
2428 .  -mat_mumps_icntl_33 <0>: ICNTL(33): compute determinant (None)
2429 .  -mat_mumps_cntl_1 <0.01>: CNTL(1): relative pivoting threshold (None)
2430 .  -mat_mumps_cntl_2 <1.49012e-08>: CNTL(2): stopping criterion of refinement (None)
2431 .  -mat_mumps_cntl_3 <0>: CNTL(3): absolute pivoting threshold (None)
2432 .  -mat_mumps_cntl_4 <-1>: CNTL(4): value for static pivoting (None)
2433 -  -mat_mumps_cntl_5 <0>: CNTL(5): fixation for null pivots (None)
2434 
2435   Level: beginner
2436 
2437 .seealso: PCFactorSetMatSolverPackage(), MatSolverPackage
2438 
2439 M*/
2440 
2441 #undef __FUNCT__
2442 #define __FUNCT__ "MatFactorGetSolverPackage_mumps"
2443 static PetscErrorCode MatFactorGetSolverPackage_mumps(Mat A,const MatSolverPackage *type)
2444 {
2445   PetscFunctionBegin;
2446   *type = MATSOLVERMUMPS;
2447   PetscFunctionReturn(0);
2448 }
2449 
2450 /* MatGetFactor for Seq and MPI AIJ matrices */
2451 #undef __FUNCT__
2452 #define __FUNCT__ "MatGetFactor_aij_mumps"
2453 static PetscErrorCode MatGetFactor_aij_mumps(Mat A,MatFactorType ftype,Mat *F)
2454 {
2455   Mat            B;
2456   PetscErrorCode ierr;
2457   Mat_MUMPS      *mumps;
2458   PetscBool      isSeqAIJ;
2459 
2460   PetscFunctionBegin;
2461   /* Create the factorization matrix */
2462   ierr = PetscObjectTypeCompare((PetscObject)A,MATSEQAIJ,&isSeqAIJ);CHKERRQ(ierr);
2463   ierr = MatCreate(PetscObjectComm((PetscObject)A),&B);CHKERRQ(ierr);
2464   ierr = MatSetSizes(B,A->rmap->n,A->cmap->n,A->rmap->N,A->cmap->N);CHKERRQ(ierr);
2465   ierr = MatSetType(B,((PetscObject)A)->type_name);CHKERRQ(ierr);
2466   if (isSeqAIJ) {
2467     ierr = MatSeqAIJSetPreallocation(B,0,NULL);CHKERRQ(ierr);
2468   } else {
2469     ierr = MatMPIAIJSetPreallocation(B,0,NULL,0,NULL);CHKERRQ(ierr);
2470   }
2471 
2472   ierr = PetscNewLog(B,&mumps);CHKERRQ(ierr);
2473 
2474   B->ops->view        = MatView_MUMPS;
2475   B->ops->getinfo     = MatGetInfo_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   if (ftype == MAT_FACTOR_LU) {
2497     B->ops->lufactorsymbolic = MatLUFactorSymbolic_AIJMUMPS;
2498     B->factortype            = MAT_FACTOR_LU;
2499     if (isSeqAIJ) mumps->ConvertToTriples = MatConvertToTriples_seqaij_seqaij;
2500     else mumps->ConvertToTriples = MatConvertToTriples_mpiaij_mpiaij;
2501     mumps->sym = 0;
2502   } else {
2503     B->ops->choleskyfactorsymbolic = MatCholeskyFactorSymbolic_MUMPS;
2504     B->factortype                  = MAT_FACTOR_CHOLESKY;
2505     if (isSeqAIJ) mumps->ConvertToTriples = MatConvertToTriples_seqaij_seqsbaij;
2506     else mumps->ConvertToTriples = MatConvertToTriples_mpiaij_mpisbaij;
2507 #if defined(PETSC_USE_COMPLEX)
2508     mumps->sym = 2;
2509 #else
2510     if (A->spd_set && A->spd) mumps->sym = 1;
2511     else                      mumps->sym = 2;
2512 #endif
2513   }
2514 
2515   mumps->isAIJ    = PETSC_TRUE;
2516   mumps->Destroy  = B->ops->destroy;
2517   B->ops->destroy = MatDestroy_MUMPS;
2518   B->spptr        = (void*)mumps;
2519 
2520   ierr = PetscInitializeMUMPS(A,mumps);CHKERRQ(ierr);
2521 
2522   *F = B;
2523   PetscFunctionReturn(0);
2524 }
2525 
2526 /* MatGetFactor for Seq and MPI SBAIJ matrices */
2527 #undef __FUNCT__
2528 #define __FUNCT__ "MatGetFactor_sbaij_mumps"
2529 static PetscErrorCode MatGetFactor_sbaij_mumps(Mat A,MatFactorType ftype,Mat *F)
2530 {
2531   Mat            B;
2532   PetscErrorCode ierr;
2533   Mat_MUMPS      *mumps;
2534   PetscBool      isSeqSBAIJ;
2535 
2536   PetscFunctionBegin;
2537   if (ftype != MAT_FACTOR_CHOLESKY) SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_SUP,"Cannot use PETSc SBAIJ matrices with MUMPS LU, use AIJ matrix");
2538   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");
2539   ierr = PetscObjectTypeCompare((PetscObject)A,MATSEQSBAIJ,&isSeqSBAIJ);CHKERRQ(ierr);
2540   /* Create the factorization matrix */
2541   ierr = MatCreate(PetscObjectComm((PetscObject)A),&B);CHKERRQ(ierr);
2542   ierr = MatSetSizes(B,A->rmap->n,A->cmap->n,A->rmap->N,A->cmap->N);CHKERRQ(ierr);
2543   ierr = MatSetType(B,((PetscObject)A)->type_name);CHKERRQ(ierr);
2544   ierr = PetscNewLog(B,&mumps);CHKERRQ(ierr);
2545   if (isSeqSBAIJ) {
2546     ierr = MatSeqSBAIJSetPreallocation(B,1,0,NULL);CHKERRQ(ierr);
2547 
2548     mumps->ConvertToTriples = MatConvertToTriples_seqsbaij_seqsbaij;
2549   } else {
2550     ierr = MatMPISBAIJSetPreallocation(B,1,0,NULL,0,NULL);CHKERRQ(ierr);
2551 
2552     mumps->ConvertToTriples = MatConvertToTriples_mpisbaij_mpisbaij;
2553   }
2554 
2555   B->ops->choleskyfactorsymbolic = MatCholeskyFactorSymbolic_MUMPS;
2556   B->ops->view                   = MatView_MUMPS;
2557   B->ops->getdiagonal            = MatGetDiagonal_MUMPS;
2558 
2559   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorGetSolverPackage_C",MatFactorGetSolverPackage_mumps);CHKERRQ(ierr);
2560   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSetSchurIS_C",MatFactorSetSchurIS_MUMPS);CHKERRQ(ierr);
2561   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorInvertSchurComplement_C",MatFactorInvertSchurComplement_MUMPS);CHKERRQ(ierr);
2562   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorCreateSchurComplement_C",MatFactorCreateSchurComplement_MUMPS);CHKERRQ(ierr);
2563   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorGetSchurComplement_C",MatFactorGetSchurComplement_MUMPS);CHKERRQ(ierr);
2564   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSolveSchurComplement_C",MatFactorSolveSchurComplement_MUMPS);CHKERRQ(ierr);
2565   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSolveSchurComplementTranspose_C",MatFactorSolveSchurComplementTranspose_MUMPS);CHKERRQ(ierr);
2566   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorFactorizeSchurComplement_C",MatFactorFactorizeSchurComplement_MUMPS);CHKERRQ(ierr);
2567   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSetSchurComplementSolverType_C",MatFactorSetSchurComplementSolverType_MUMPS);CHKERRQ(ierr);
2568   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsSetIcntl_C",MatMumpsSetIcntl_MUMPS);CHKERRQ(ierr);
2569   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetIcntl_C",MatMumpsGetIcntl_MUMPS);CHKERRQ(ierr);
2570   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsSetCntl_C",MatMumpsSetCntl_MUMPS);CHKERRQ(ierr);
2571   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetCntl_C",MatMumpsGetCntl_MUMPS);CHKERRQ(ierr);
2572   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetInfo_C",MatMumpsGetInfo_MUMPS);CHKERRQ(ierr);
2573   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetInfog_C",MatMumpsGetInfog_MUMPS);CHKERRQ(ierr);
2574   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetRinfo_C",MatMumpsGetRinfo_MUMPS);CHKERRQ(ierr);
2575   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetRinfog_C",MatMumpsGetRinfog_MUMPS);CHKERRQ(ierr);
2576 
2577   B->factortype = MAT_FACTOR_CHOLESKY;
2578 #if defined(PETSC_USE_COMPLEX)
2579   mumps->sym = 2;
2580 #else
2581   if (A->spd_set && A->spd) mumps->sym = 1;
2582   else                      mumps->sym = 2;
2583 #endif
2584 
2585   mumps->isAIJ    = PETSC_FALSE;
2586   mumps->Destroy  = B->ops->destroy;
2587   B->ops->destroy = MatDestroy_MUMPS;
2588   B->spptr        = (void*)mumps;
2589 
2590   ierr = PetscInitializeMUMPS(A,mumps);CHKERRQ(ierr);
2591 
2592   *F = B;
2593   PetscFunctionReturn(0);
2594 }
2595 
2596 #undef __FUNCT__
2597 #define __FUNCT__ "MatGetFactor_baij_mumps"
2598 static PetscErrorCode MatGetFactor_baij_mumps(Mat A,MatFactorType ftype,Mat *F)
2599 {
2600   Mat            B;
2601   PetscErrorCode ierr;
2602   Mat_MUMPS      *mumps;
2603   PetscBool      isSeqBAIJ;
2604 
2605   PetscFunctionBegin;
2606   /* Create the factorization matrix */
2607   ierr = PetscObjectTypeCompare((PetscObject)A,MATSEQBAIJ,&isSeqBAIJ);CHKERRQ(ierr);
2608   ierr = MatCreate(PetscObjectComm((PetscObject)A),&B);CHKERRQ(ierr);
2609   ierr = MatSetSizes(B,A->rmap->n,A->cmap->n,A->rmap->N,A->cmap->N);CHKERRQ(ierr);
2610   ierr = MatSetType(B,((PetscObject)A)->type_name);CHKERRQ(ierr);
2611   if (isSeqBAIJ) {
2612     ierr = MatSeqBAIJSetPreallocation(B,A->rmap->bs,0,NULL);CHKERRQ(ierr);
2613   } else {
2614     ierr = MatMPIBAIJSetPreallocation(B,A->rmap->bs,0,NULL,0,NULL);CHKERRQ(ierr);
2615   }
2616 
2617   ierr = PetscNewLog(B,&mumps);CHKERRQ(ierr);
2618   if (ftype == MAT_FACTOR_LU) {
2619     B->ops->lufactorsymbolic = MatLUFactorSymbolic_BAIJMUMPS;
2620     B->factortype            = MAT_FACTOR_LU;
2621     if (isSeqBAIJ) mumps->ConvertToTriples = MatConvertToTriples_seqbaij_seqaij;
2622     else mumps->ConvertToTriples = MatConvertToTriples_mpibaij_mpiaij;
2623     mumps->sym = 0;
2624   } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Cannot use PETSc BAIJ matrices with MUMPS Cholesky, use SBAIJ or AIJ matrix instead\n");
2625 
2626   B->ops->view        = MatView_MUMPS;
2627   B->ops->getdiagonal = MatGetDiagonal_MUMPS;
2628 
2629   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorGetSolverPackage_C",MatFactorGetSolverPackage_mumps);CHKERRQ(ierr);
2630   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSetSchurIS_C",MatFactorSetSchurIS_MUMPS);CHKERRQ(ierr);
2631   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorInvertSchurComplement_C",MatFactorInvertSchurComplement_MUMPS);CHKERRQ(ierr);
2632   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorCreateSchurComplement_C",MatFactorCreateSchurComplement_MUMPS);CHKERRQ(ierr);
2633   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorGetSchurComplement_C",MatFactorGetSchurComplement_MUMPS);CHKERRQ(ierr);
2634   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSolveSchurComplement_C",MatFactorSolveSchurComplement_MUMPS);CHKERRQ(ierr);
2635   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSolveSchurComplementTranspose_C",MatFactorSolveSchurComplementTranspose_MUMPS);CHKERRQ(ierr);
2636   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorFactorizeSchurComplement_C",MatFactorFactorizeSchurComplement_MUMPS);CHKERRQ(ierr);
2637   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSetSchurComplementSolverType_C",MatFactorSetSchurComplementSolverType_MUMPS);CHKERRQ(ierr);
2638   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsSetIcntl_C",MatMumpsSetIcntl_MUMPS);CHKERRQ(ierr);
2639   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetIcntl_C",MatMumpsGetIcntl_MUMPS);CHKERRQ(ierr);
2640   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsSetCntl_C",MatMumpsSetCntl_MUMPS);CHKERRQ(ierr);
2641   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetCntl_C",MatMumpsGetCntl_MUMPS);CHKERRQ(ierr);
2642   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetInfo_C",MatMumpsGetInfo_MUMPS);CHKERRQ(ierr);
2643   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetInfog_C",MatMumpsGetInfog_MUMPS);CHKERRQ(ierr);
2644   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetRinfo_C",MatMumpsGetRinfo_MUMPS);CHKERRQ(ierr);
2645   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetRinfog_C",MatMumpsGetRinfog_MUMPS);CHKERRQ(ierr);
2646 
2647   mumps->isAIJ    = PETSC_TRUE;
2648   mumps->Destroy  = B->ops->destroy;
2649   B->ops->destroy = MatDestroy_MUMPS;
2650   B->spptr        = (void*)mumps;
2651 
2652   ierr = PetscInitializeMUMPS(A,mumps);CHKERRQ(ierr);
2653 
2654   *F = B;
2655   PetscFunctionReturn(0);
2656 }
2657 
2658 #undef __FUNCT__
2659 #define __FUNCT__ "MatSolverPackageRegister_MUMPS"
2660 PETSC_EXTERN PetscErrorCode MatSolverPackageRegister_MUMPS(void)
2661 {
2662   PetscErrorCode ierr;
2663 
2664   PetscFunctionBegin;
2665   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATMPIAIJ,MAT_FACTOR_LU,MatGetFactor_aij_mumps);CHKERRQ(ierr);
2666   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATMPIAIJ,MAT_FACTOR_CHOLESKY,MatGetFactor_aij_mumps);CHKERRQ(ierr);
2667   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATMPIBAIJ,MAT_FACTOR_LU,MatGetFactor_baij_mumps);CHKERRQ(ierr);
2668   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATMPIBAIJ,MAT_FACTOR_CHOLESKY,MatGetFactor_baij_mumps);CHKERRQ(ierr);
2669   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATMPISBAIJ,MAT_FACTOR_CHOLESKY,MatGetFactor_sbaij_mumps);CHKERRQ(ierr);
2670   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATSEQAIJ,MAT_FACTOR_LU,MatGetFactor_aij_mumps);CHKERRQ(ierr);
2671   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATSEQAIJ,MAT_FACTOR_CHOLESKY,MatGetFactor_aij_mumps);CHKERRQ(ierr);
2672   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATSEQBAIJ,MAT_FACTOR_LU,MatGetFactor_baij_mumps);CHKERRQ(ierr);
2673   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATSEQBAIJ,MAT_FACTOR_CHOLESKY,MatGetFactor_baij_mumps);CHKERRQ(ierr);
2674   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATSEQSBAIJ,MAT_FACTOR_CHOLESKY,MatGetFactor_sbaij_mumps);CHKERRQ(ierr);
2675   PetscFunctionReturn(0);
2676 }
2677 
2678