xref: /petsc/src/mat/impls/aij/mpi/mumps/mumps.c (revision 3d996552296fa5aff2ef76b1450b6d3231aa62c2)
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 (*ConvertToTriples)(Mat, int, MatReuse, int*, int**, int**, PetscScalar**);
101 } Mat_MUMPS;
102 
103 extern PetscErrorCode MatDuplicate_MUMPS(Mat,MatDuplicateOption,Mat*);
104 
105 #undef __FUNCT__
106 #define __FUNCT__ "MatMumpsResetSchur_Private"
107 static PetscErrorCode MatMumpsResetSchur_Private(Mat_MUMPS* mumps)
108 {
109   PetscErrorCode ierr;
110 
111   PetscFunctionBegin;
112   ierr = PetscFree2(mumps->id.listvar_schur,mumps->id.schur);CHKERRQ(ierr);
113   ierr = PetscFree(mumps->id.redrhs);CHKERRQ(ierr);
114   ierr = PetscFree(mumps->schur_sol);CHKERRQ(ierr);
115   ierr = PetscFree(mumps->schur_pivots);CHKERRQ(ierr);
116   ierr = PetscFree(mumps->schur_work);CHKERRQ(ierr);
117   mumps->id.size_schur = 0;
118   mumps->id.ICNTL(19) = 0;
119   PetscFunctionReturn(0);
120 }
121 
122 #undef __FUNCT__
123 #define __FUNCT__ "MatMumpsFactorSchur_Private"
124 static PetscErrorCode MatMumpsFactorSchur_Private(Mat_MUMPS* mumps)
125 {
126   PetscBLASInt   B_N,B_ierr,B_slda;
127   PetscErrorCode ierr;
128 
129   PetscFunctionBegin;
130   if (mumps->schur_factored) {
131     PetscFunctionReturn(0);
132   }
133   ierr = PetscBLASIntCast(mumps->id.size_schur,&B_N);CHKERRQ(ierr);
134   ierr = PetscBLASIntCast(mumps->id.schur_lld,&B_slda);CHKERRQ(ierr);
135   if (!mumps->sym) { /* MUMPS always return a full Schur matrix */
136     if (!mumps->schur_pivots) {
137       ierr = PetscMalloc1(B_N,&mumps->schur_pivots);CHKERRQ(ierr);
138     }
139     ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr);
140     PetscStackCallBLAS("LAPACKgetrf",LAPACKgetrf_(&B_N,&B_N,(PetscScalar*)mumps->id.schur,&B_slda,mumps->schur_pivots,&B_ierr));
141     ierr = PetscFPTrapPop();CHKERRQ(ierr);
142     if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in GETRF Lapack routine %d",(int)B_ierr);
143   } else { /* either full or lower-triangular (not packed) */
144     char ord[2];
145     if (mumps->id.ICNTL(19) == 2 || mumps->id.ICNTL(19) == 3) { /* lower triangular stored by columns or full matrix */
146       sprintf(ord,"L");
147     } else { /* ICNTL(19) == 1 lower triangular stored by rows */
148       sprintf(ord,"U");
149     }
150     if (mumps->schur_sym == 2) {
151       if (!mumps->schur_pivots) {
152         PetscScalar  lwork;
153 
154         ierr = PetscMalloc1(B_N,&mumps->schur_pivots);CHKERRQ(ierr);
155         mumps->schur_B_lwork=-1;
156         ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr);
157         PetscStackCallBLAS("LAPACKsytrf",LAPACKsytrf_(ord,&B_N,(PetscScalar*)mumps->id.schur,&B_slda,mumps->schur_pivots,&lwork,&mumps->schur_B_lwork,&B_ierr));
158         ierr = PetscFPTrapPop();CHKERRQ(ierr);
159         if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in query to SYTRF Lapack routine %d",(int)B_ierr);
160         ierr = PetscBLASIntCast((PetscInt)PetscRealPart(lwork),&mumps->schur_B_lwork);CHKERRQ(ierr);
161         ierr = PetscMalloc1(mumps->schur_B_lwork,&mumps->schur_work);CHKERRQ(ierr);
162       }
163       ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr);
164       PetscStackCallBLAS("LAPACKsytrf",LAPACKsytrf_(ord,&B_N,(PetscScalar*)mumps->id.schur,&B_slda,mumps->schur_pivots,mumps->schur_work,&mumps->schur_B_lwork,&B_ierr));
165       ierr = PetscFPTrapPop();CHKERRQ(ierr);
166       if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in SYTRF Lapack routine %d",(int)B_ierr);
167     } else {
168       ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr);
169       PetscStackCallBLAS("LAPACKpotrf",LAPACKpotrf_(ord,&B_N,(PetscScalar*)mumps->id.schur,&B_slda,&B_ierr));
170       ierr = PetscFPTrapPop();CHKERRQ(ierr);
171       if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in POTRF Lapack routine %d",(int)B_ierr);
172     }
173   }
174   mumps->schur_factored = PETSC_TRUE;
175   PetscFunctionReturn(0);
176 }
177 
178 #undef __FUNCT__
179 #define __FUNCT__ "MatMumpsInvertSchur_Private"
180 static PetscErrorCode MatMumpsInvertSchur_Private(Mat_MUMPS* mumps)
181 {
182   PetscBLASInt   B_N,B_ierr,B_slda;
183   PetscErrorCode ierr;
184 
185   PetscFunctionBegin;
186   ierr = MatMumpsFactorSchur_Private(mumps);CHKERRQ(ierr);
187   ierr = PetscBLASIntCast(mumps->id.size_schur,&B_N);CHKERRQ(ierr);
188   ierr = PetscBLASIntCast(mumps->id.schur_lld,&B_slda);CHKERRQ(ierr);
189   if (!mumps->sym) { /* MUMPS always return a full Schur matrix */
190     if (!mumps->schur_work) {
191       PetscScalar lwork;
192 
193       mumps->schur_B_lwork = -1;
194       ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr);
195       PetscStackCallBLAS("LAPACKgetri",LAPACKgetri_(&B_N,(PetscScalar*)mumps->id.schur,&B_N,mumps->schur_pivots,&lwork,&mumps->schur_B_lwork,&B_ierr));
196       ierr = PetscFPTrapPop();CHKERRQ(ierr);
197       if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in query to GETRI Lapack routine %d",(int)B_ierr);
198       ierr = PetscBLASIntCast((PetscInt)PetscRealPart(lwork),&mumps->schur_B_lwork);CHKERRQ(ierr);
199       ierr = PetscMalloc1(mumps->schur_B_lwork,&mumps->schur_work);CHKERRQ(ierr);
200     }
201     ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr);
202     PetscStackCallBLAS("LAPACKgetri",LAPACKgetri_(&B_N,(PetscScalar*)mumps->id.schur,&B_N,mumps->schur_pivots,mumps->schur_work,&mumps->schur_B_lwork,&B_ierr));
203     ierr = PetscFPTrapPop();CHKERRQ(ierr);
204     if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in GETRI Lapack routine %d",(int)B_ierr);
205   } else { /* either full or lower-triangular (not packed) */
206     char ord[2];
207     if (mumps->id.ICNTL(19) == 2 || mumps->id.ICNTL(19) == 3) { /* lower triangular stored by columns or full matrix */
208       sprintf(ord,"L");
209     } else { /* ICNTL(19) == 1 lower triangular stored by rows */
210       sprintf(ord,"U");
211     }
212     if (mumps->schur_sym == 2) {
213       ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr);
214       PetscStackCallBLAS("LAPACKsytri",LAPACKsytri_(ord,&B_N,(PetscScalar*)mumps->id.schur,&B_N,mumps->schur_pivots,mumps->schur_work,&B_ierr));
215       ierr = PetscFPTrapPop();CHKERRQ(ierr);
216       if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in SYTRI Lapack routine %d",(int)B_ierr);
217     } else {
218       ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr);
219       PetscStackCallBLAS("LAPACKpotri",LAPACKpotri_(ord,&B_N,(PetscScalar*)mumps->id.schur,&B_N,&B_ierr));
220       ierr = PetscFPTrapPop();CHKERRQ(ierr);
221       if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in POTRI Lapack routine %d",(int)B_ierr);
222     }
223   }
224   mumps->schur_inverted = PETSC_TRUE;
225   PetscFunctionReturn(0);
226 }
227 
228 #undef __FUNCT__
229 #define __FUNCT__ "MatMumpsSolveSchur_Private"
230 static PetscErrorCode MatMumpsSolveSchur_Private(Mat_MUMPS* mumps, PetscBool sol_in_redrhs)
231 {
232   PetscBLASInt   B_N,B_Nrhs,B_ierr,B_slda,B_rlda;
233   PetscScalar    one=1.,zero=0.;
234   PetscErrorCode ierr;
235 
236   PetscFunctionBegin;
237   ierr = MatMumpsFactorSchur_Private(mumps);CHKERRQ(ierr);
238   ierr = PetscBLASIntCast(mumps->id.size_schur,&B_N);CHKERRQ(ierr);
239   ierr = PetscBLASIntCast(mumps->id.schur_lld,&B_slda);CHKERRQ(ierr);
240   ierr = PetscBLASIntCast(mumps->id.nrhs,&B_Nrhs);CHKERRQ(ierr);
241   ierr = PetscBLASIntCast(mumps->id.lredrhs,&B_rlda);CHKERRQ(ierr);
242   if (mumps->schur_inverted) {
243     PetscInt sizesol = B_Nrhs*B_N;
244     if (!mumps->schur_sol || sizesol > mumps->schur_sizesol) {
245       ierr = PetscFree(mumps->schur_sol);CHKERRQ(ierr);
246       ierr = PetscMalloc1(sizesol,&mumps->schur_sol);CHKERRQ(ierr);
247       mumps->schur_sizesol = sizesol;
248     }
249     if (!mumps->sym) {
250       char type[2];
251       if (mumps->id.ICNTL(19) == 1) { /* stored by rows */
252         if (!mumps->id.ICNTL(9)) { /* transpose solve */
253           sprintf(type,"N");
254         } else {
255           sprintf(type,"T");
256         }
257       } else { /* stored by columns */
258         if (!mumps->id.ICNTL(9)) { /* transpose solve */
259           sprintf(type,"T");
260         } else {
261           sprintf(type,"N");
262         }
263       }
264       PetscStackCallBLAS("BLASgemm",BLASgemm_(type,"N",&B_N,&B_Nrhs,&B_N,&one,(PetscScalar*)mumps->id.schur,&B_slda,(PetscScalar*)mumps->id.redrhs,&B_rlda,&zero,mumps->schur_sol,&B_rlda));
265     } else {
266       char ord[2];
267       if (mumps->id.ICNTL(19) == 2 || mumps->id.ICNTL(19) == 3) { /* lower triangular stored by columns or full matrix */
268         sprintf(ord,"L");
269       } else { /* ICNTL(19) == 1 lower triangular stored by rows */
270         sprintf(ord,"U");
271       }
272       PetscStackCallBLAS("BLASsymm",BLASsymm_("L",ord,&B_N,&B_Nrhs,&one,(PetscScalar*)mumps->id.schur,&B_slda,(PetscScalar*)mumps->id.redrhs,&B_rlda,&zero,mumps->schur_sol,&B_rlda));
273     }
274     if (sol_in_redrhs) {
275       ierr = PetscMemcpy(mumps->id.redrhs,mumps->schur_sol,sizesol*sizeof(PetscScalar));CHKERRQ(ierr);
276     }
277   } else { /* Schur complement has not yet been inverted */
278     MumpsScalar *orhs=NULL;
279 
280     if (!sol_in_redrhs) {
281       PetscInt sizesol = B_Nrhs*B_N;
282       if (!mumps->schur_sol || sizesol > mumps->schur_sizesol) {
283         ierr = PetscFree(mumps->schur_sol);CHKERRQ(ierr);
284         ierr = PetscMalloc1(sizesol,&mumps->schur_sol);CHKERRQ(ierr);
285         mumps->schur_sizesol = sizesol;
286       }
287       orhs = mumps->id.redrhs;
288       ierr = PetscMemcpy(mumps->schur_sol,mumps->id.redrhs,sizesol*sizeof(PetscScalar));CHKERRQ(ierr);
289       mumps->id.redrhs = (MumpsScalar*)mumps->schur_sol;
290     }
291     if (!mumps->sym) { /* MUMPS always return a full Schur matrix */
292       char type[2];
293       if (mumps->id.ICNTL(19) == 1) { /* stored by rows */
294         if (!mumps->id.ICNTL(9)) { /* transpose solve */
295           sprintf(type,"N");
296         } else {
297           sprintf(type,"T");
298         }
299       } else { /* stored by columns */
300         if (!mumps->id.ICNTL(9)) { /* transpose solve */
301           sprintf(type,"T");
302         } else {
303           sprintf(type,"N");
304         }
305       }
306       ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr);
307       PetscStackCallBLAS("LAPACKgetrs",LAPACKgetrs_(type,&B_N,&B_Nrhs,(PetscScalar*)mumps->id.schur,&B_slda,mumps->schur_pivots,(PetscScalar*)mumps->id.redrhs,&B_rlda,&B_ierr));
308       ierr = PetscFPTrapPop();CHKERRQ(ierr);
309       if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in GETRS Lapack routine %d",(int)B_ierr);
310     } else { /* either full or lower-triangular (not packed) */
311       char ord[2];
312       if (mumps->id.ICNTL(19) == 2 || mumps->id.ICNTL(19) == 3) { /* lower triangular stored by columns or full matrix */
313         sprintf(ord,"L");
314       } else { /* ICNTL(19) == 1 lower triangular stored by rows */
315         sprintf(ord,"U");
316       }
317       if (mumps->schur_sym == 2) {
318         ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr);
319         PetscStackCallBLAS("LAPACKsytrs",LAPACKsytrs_(ord,&B_N,&B_Nrhs,(PetscScalar*)mumps->id.schur,&B_slda,mumps->schur_pivots,(PetscScalar*)mumps->id.redrhs,&B_rlda,&B_ierr));
320         ierr = PetscFPTrapPop();CHKERRQ(ierr);
321         if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in SYTRS Lapack routine %d",(int)B_ierr);
322       } else {
323         ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr);
324         PetscStackCallBLAS("LAPACKpotrs",LAPACKpotrs_(ord,&B_N,&B_Nrhs,(PetscScalar*)mumps->id.schur,&B_slda,(PetscScalar*)mumps->id.redrhs,&B_rlda,&B_ierr));
325         ierr = PetscFPTrapPop();CHKERRQ(ierr);
326         if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in POTRS Lapack routine %d",(int)B_ierr);
327       }
328     }
329     if (!sol_in_redrhs) {
330       mumps->id.redrhs = orhs;
331     }
332   }
333   PetscFunctionReturn(0);
334 }
335 
336 #undef __FUNCT__
337 #define __FUNCT__ "MatMumpsHandleSchur_Private"
338 static PetscErrorCode MatMumpsHandleSchur_Private(Mat_MUMPS* mumps, PetscBool expansion)
339 {
340   PetscErrorCode ierr;
341 
342   PetscFunctionBegin;
343   if (!mumps->id.ICNTL(19)) { /* do nothing when Schur complement has not been computed */
344     PetscFunctionReturn(0);
345   }
346   if (!expansion) { /* prepare for the condensation step */
347     PetscInt sizeredrhs = mumps->id.nrhs*mumps->id.size_schur;
348     /* allocate MUMPS internal array to store reduced right-hand sides */
349     if (!mumps->id.redrhs || sizeredrhs > mumps->sizeredrhs) {
350       ierr = PetscFree(mumps->id.redrhs);CHKERRQ(ierr);
351       mumps->id.lredrhs = mumps->id.size_schur;
352       ierr = PetscMalloc1(mumps->id.nrhs*mumps->id.lredrhs,&mumps->id.redrhs);CHKERRQ(ierr);
353       mumps->sizeredrhs = mumps->id.nrhs*mumps->id.lredrhs;
354     }
355     mumps->id.ICNTL(26) = 1; /* condensation phase */
356   } else { /* prepare for the expansion step */
357     /* solve Schur complement (this has to be done by the MUMPS user, so basically us) */
358     ierr = MatMumpsSolveSchur_Private(mumps,PETSC_TRUE);CHKERRQ(ierr);
359     mumps->id.ICNTL(26) = 2; /* expansion phase */
360     PetscMUMPS_c(&mumps->id);
361     if (mumps->id.INFOG(1) < 0) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error reported by MUMPS in solve phase: INFOG(1)=%d\n",mumps->id.INFOG(1));
362     /* restore defaults */
363     mumps->id.ICNTL(26) = -1;
364     /* free MUMPS internal array for redrhs if we have solved for multiple rhs in order to save memory space */
365     if (mumps->id.nrhs > 1) {
366       ierr = PetscFree(mumps->id.redrhs);CHKERRQ(ierr);
367       mumps->id.lredrhs = 0;
368       mumps->sizeredrhs = 0;
369     }
370   }
371   PetscFunctionReturn(0);
372 }
373 
374 /*
375   MatConvertToTriples_A_B - convert Petsc matrix to triples: row[nz], col[nz], val[nz]
376 
377   input:
378     A       - matrix in aij,baij or sbaij (bs=1) format
379     shift   - 0: C style output triple; 1: Fortran style output triple.
380     reuse   - MAT_INITIAL_MATRIX: spaces are allocated and values are set for the triple
381               MAT_REUSE_MATRIX:   only the values in v array are updated
382   output:
383     nnz     - dim of r, c, and v (number of local nonzero entries of A)
384     r, c, v - row and col index, matrix values (matrix triples)
385 
386   The returned values r, c, and sometimes v are obtained in a single PetscMalloc(). Then in MatDestroy_MUMPS() it is
387   freed with PetscFree((mumps->irn);  This is not ideal code, the fact that v is ONLY sometimes part of mumps->irn means
388   that the PetscMalloc() cannot easily be replaced with a PetscMalloc3().
389 
390  */
391 
392 #undef __FUNCT__
393 #define __FUNCT__ "MatConvertToTriples_seqaij_seqaij"
394 PetscErrorCode MatConvertToTriples_seqaij_seqaij(Mat A,int shift,MatReuse reuse,int *nnz,int **r, int **c, PetscScalar **v)
395 {
396   const PetscInt *ai,*aj,*ajj,M=A->rmap->n;
397   PetscInt       nz,rnz,i,j;
398   PetscErrorCode ierr;
399   PetscInt       *row,*col;
400   Mat_SeqAIJ     *aa=(Mat_SeqAIJ*)A->data;
401 
402   PetscFunctionBegin;
403   *v=aa->a;
404   if (reuse == MAT_INITIAL_MATRIX) {
405     nz   = aa->nz;
406     ai   = aa->i;
407     aj   = aa->j;
408     *nnz = nz;
409     ierr = PetscMalloc1(2*nz, &row);CHKERRQ(ierr);
410     col  = row + nz;
411 
412     nz = 0;
413     for (i=0; i<M; i++) {
414       rnz = ai[i+1] - ai[i];
415       ajj = aj + ai[i];
416       for (j=0; j<rnz; j++) {
417         row[nz] = i+shift; col[nz++] = ajj[j] + shift;
418       }
419     }
420     *r = row; *c = col;
421   }
422   PetscFunctionReturn(0);
423 }
424 
425 #undef __FUNCT__
426 #define __FUNCT__ "MatConvertToTriples_seqbaij_seqaij"
427 PetscErrorCode MatConvertToTriples_seqbaij_seqaij(Mat A,int shift,MatReuse reuse,int *nnz,int **r, int **c, PetscScalar **v)
428 {
429   Mat_SeqBAIJ    *aa=(Mat_SeqBAIJ*)A->data;
430   const PetscInt *ai,*aj,*ajj,bs2 = aa->bs2;
431   PetscInt       bs,M,nz,idx=0,rnz,i,j,k,m;
432   PetscErrorCode ierr;
433   PetscInt       *row,*col;
434 
435   PetscFunctionBegin;
436   ierr = MatGetBlockSize(A,&bs);CHKERRQ(ierr);
437   M = A->rmap->N/bs;
438   *v = aa->a;
439   if (reuse == MAT_INITIAL_MATRIX) {
440     ai   = aa->i; aj = aa->j;
441     nz   = bs2*aa->nz;
442     *nnz = nz;
443     ierr = PetscMalloc1(2*nz, &row);CHKERRQ(ierr);
444     col  = row + nz;
445 
446     for (i=0; i<M; i++) {
447       ajj = aj + ai[i];
448       rnz = ai[i+1] - ai[i];
449       for (k=0; k<rnz; k++) {
450         for (j=0; j<bs; j++) {
451           for (m=0; m<bs; m++) {
452             row[idx]   = i*bs + m + shift;
453             col[idx++] = bs*(ajj[k]) + j + shift;
454           }
455         }
456       }
457     }
458     *r = row; *c = col;
459   }
460   PetscFunctionReturn(0);
461 }
462 
463 #undef __FUNCT__
464 #define __FUNCT__ "MatConvertToTriples_seqsbaij_seqsbaij"
465 PetscErrorCode MatConvertToTriples_seqsbaij_seqsbaij(Mat A,int shift,MatReuse reuse,int *nnz,int **r, int **c, PetscScalar **v)
466 {
467   const PetscInt *ai, *aj,*ajj,M=A->rmap->n;
468   PetscInt       nz,rnz,i,j;
469   PetscErrorCode ierr;
470   PetscInt       *row,*col;
471   Mat_SeqSBAIJ   *aa=(Mat_SeqSBAIJ*)A->data;
472 
473   PetscFunctionBegin;
474   *v = aa->a;
475   if (reuse == MAT_INITIAL_MATRIX) {
476     nz   = aa->nz;
477     ai   = aa->i;
478     aj   = aa->j;
479     *v   = aa->a;
480     *nnz = nz;
481     ierr = PetscMalloc1(2*nz, &row);CHKERRQ(ierr);
482     col  = row + nz;
483 
484     nz = 0;
485     for (i=0; i<M; i++) {
486       rnz = ai[i+1] - ai[i];
487       ajj = aj + ai[i];
488       for (j=0; j<rnz; j++) {
489         row[nz] = i+shift; col[nz++] = ajj[j] + shift;
490       }
491     }
492     *r = row; *c = col;
493   }
494   PetscFunctionReturn(0);
495 }
496 
497 #undef __FUNCT__
498 #define __FUNCT__ "MatConvertToTriples_seqaij_seqsbaij"
499 PetscErrorCode MatConvertToTriples_seqaij_seqsbaij(Mat A,int shift,MatReuse reuse,int *nnz,int **r, int **c, PetscScalar **v)
500 {
501   const PetscInt    *ai,*aj,*ajj,*adiag,M=A->rmap->n;
502   PetscInt          nz,rnz,i,j;
503   const PetscScalar *av,*v1;
504   PetscScalar       *val;
505   PetscErrorCode    ierr;
506   PetscInt          *row,*col;
507   Mat_SeqAIJ        *aa=(Mat_SeqAIJ*)A->data;
508 
509   PetscFunctionBegin;
510   ai   =aa->i; aj=aa->j;av=aa->a;
511   adiag=aa->diag;
512   if (reuse == MAT_INITIAL_MATRIX) {
513     /* count nz in the uppper triangular part of A */
514     nz = 0;
515     for (i=0; i<M; i++) nz += ai[i+1] - adiag[i];
516     *nnz = nz;
517 
518     ierr = PetscMalloc((2*nz*sizeof(PetscInt)+nz*sizeof(PetscScalar)), &row);CHKERRQ(ierr);
519     col  = row + nz;
520     val  = (PetscScalar*)(col + nz);
521 
522     nz = 0;
523     for (i=0; i<M; i++) {
524       rnz = ai[i+1] - adiag[i];
525       ajj = aj + adiag[i];
526       v1  = av + adiag[i];
527       for (j=0; j<rnz; j++) {
528         row[nz] = i+shift; col[nz] = ajj[j] + shift; val[nz++] = v1[j];
529       }
530     }
531     *r = row; *c = col; *v = val;
532   } else {
533     nz = 0; val = *v;
534     for (i=0; i <M; i++) {
535       rnz = ai[i+1] - adiag[i];
536       v1  = av + adiag[i];
537       for (j=0; j<rnz; j++) {
538         val[nz++] = v1[j];
539       }
540     }
541   }
542   PetscFunctionReturn(0);
543 }
544 
545 #undef __FUNCT__
546 #define __FUNCT__ "MatConvertToTriples_mpisbaij_mpisbaij"
547 PetscErrorCode MatConvertToTriples_mpisbaij_mpisbaij(Mat A,int shift,MatReuse reuse,int *nnz,int **r, int **c, PetscScalar **v)
548 {
549   const PetscInt    *ai, *aj, *bi, *bj,*garray,m=A->rmap->n,*ajj,*bjj;
550   PetscErrorCode    ierr;
551   PetscInt          rstart,nz,i,j,jj,irow,countA,countB;
552   PetscInt          *row,*col;
553   const PetscScalar *av, *bv,*v1,*v2;
554   PetscScalar       *val;
555   Mat_MPISBAIJ      *mat = (Mat_MPISBAIJ*)A->data;
556   Mat_SeqSBAIJ      *aa  = (Mat_SeqSBAIJ*)(mat->A)->data;
557   Mat_SeqBAIJ       *bb  = (Mat_SeqBAIJ*)(mat->B)->data;
558 
559   PetscFunctionBegin;
560   ai=aa->i; aj=aa->j; bi=bb->i; bj=bb->j; rstart= A->rmap->rstart;
561   av=aa->a; bv=bb->a;
562 
563   garray = mat->garray;
564 
565   if (reuse == MAT_INITIAL_MATRIX) {
566     nz   = aa->nz + bb->nz;
567     *nnz = nz;
568     ierr = PetscMalloc((2*nz*sizeof(PetscInt)+nz*sizeof(PetscScalar)), &row);CHKERRQ(ierr);
569     col  = row + nz;
570     val  = (PetscScalar*)(col + nz);
571 
572     *r = row; *c = col; *v = val;
573   } else {
574     row = *r; col = *c; val = *v;
575   }
576 
577   jj = 0; irow = rstart;
578   for (i=0; i<m; i++) {
579     ajj    = aj + ai[i];                 /* ptr to the beginning of this row */
580     countA = ai[i+1] - ai[i];
581     countB = bi[i+1] - bi[i];
582     bjj    = bj + bi[i];
583     v1     = av + ai[i];
584     v2     = bv + bi[i];
585 
586     /* A-part */
587     for (j=0; j<countA; j++) {
588       if (reuse == MAT_INITIAL_MATRIX) {
589         row[jj] = irow + shift; col[jj] = rstart + ajj[j] + shift;
590       }
591       val[jj++] = v1[j];
592     }
593 
594     /* B-part */
595     for (j=0; j < countB; j++) {
596       if (reuse == MAT_INITIAL_MATRIX) {
597         row[jj] = irow + shift; col[jj] = garray[bjj[j]] + shift;
598       }
599       val[jj++] = v2[j];
600     }
601     irow++;
602   }
603   PetscFunctionReturn(0);
604 }
605 
606 #undef __FUNCT__
607 #define __FUNCT__ "MatConvertToTriples_mpiaij_mpiaij"
608 PetscErrorCode MatConvertToTriples_mpiaij_mpiaij(Mat A,int shift,MatReuse reuse,int *nnz,int **r, int **c, PetscScalar **v)
609 {
610   const PetscInt    *ai, *aj, *bi, *bj,*garray,m=A->rmap->n,*ajj,*bjj;
611   PetscErrorCode    ierr;
612   PetscInt          rstart,nz,i,j,jj,irow,countA,countB;
613   PetscInt          *row,*col;
614   const PetscScalar *av, *bv,*v1,*v2;
615   PetscScalar       *val;
616   Mat_MPIAIJ        *mat = (Mat_MPIAIJ*)A->data;
617   Mat_SeqAIJ        *aa  = (Mat_SeqAIJ*)(mat->A)->data;
618   Mat_SeqAIJ        *bb  = (Mat_SeqAIJ*)(mat->B)->data;
619 
620   PetscFunctionBegin;
621   ai=aa->i; aj=aa->j; bi=bb->i; bj=bb->j; rstart= A->rmap->rstart;
622   av=aa->a; bv=bb->a;
623 
624   garray = mat->garray;
625 
626   if (reuse == MAT_INITIAL_MATRIX) {
627     nz   = aa->nz + bb->nz;
628     *nnz = nz;
629     ierr = PetscMalloc((2*nz*sizeof(PetscInt)+nz*sizeof(PetscScalar)), &row);CHKERRQ(ierr);
630     col  = row + nz;
631     val  = (PetscScalar*)(col + nz);
632 
633     *r = row; *c = col; *v = val;
634   } else {
635     row = *r; col = *c; val = *v;
636   }
637 
638   jj = 0; irow = rstart;
639   for (i=0; i<m; i++) {
640     ajj    = aj + ai[i];                 /* ptr to the beginning of this row */
641     countA = ai[i+1] - ai[i];
642     countB = bi[i+1] - bi[i];
643     bjj    = bj + bi[i];
644     v1     = av + ai[i];
645     v2     = bv + bi[i];
646 
647     /* A-part */
648     for (j=0; j<countA; j++) {
649       if (reuse == MAT_INITIAL_MATRIX) {
650         row[jj] = irow + shift; col[jj] = rstart + ajj[j] + shift;
651       }
652       val[jj++] = v1[j];
653     }
654 
655     /* B-part */
656     for (j=0; j < countB; j++) {
657       if (reuse == MAT_INITIAL_MATRIX) {
658         row[jj] = irow + shift; col[jj] = garray[bjj[j]] + shift;
659       }
660       val[jj++] = v2[j];
661     }
662     irow++;
663   }
664   PetscFunctionReturn(0);
665 }
666 
667 #undef __FUNCT__
668 #define __FUNCT__ "MatConvertToTriples_mpibaij_mpiaij"
669 PetscErrorCode MatConvertToTriples_mpibaij_mpiaij(Mat A,int shift,MatReuse reuse,int *nnz,int **r, int **c, PetscScalar **v)
670 {
671   Mat_MPIBAIJ       *mat    = (Mat_MPIBAIJ*)A->data;
672   Mat_SeqBAIJ       *aa     = (Mat_SeqBAIJ*)(mat->A)->data;
673   Mat_SeqBAIJ       *bb     = (Mat_SeqBAIJ*)(mat->B)->data;
674   const PetscInt    *ai     = aa->i, *bi = bb->i, *aj = aa->j, *bj = bb->j,*ajj, *bjj;
675   const PetscInt    *garray = mat->garray,mbs=mat->mbs,rstart=A->rmap->rstart;
676   const PetscInt    bs2=mat->bs2;
677   PetscErrorCode    ierr;
678   PetscInt          bs,nz,i,j,k,n,jj,irow,countA,countB,idx;
679   PetscInt          *row,*col;
680   const PetscScalar *av=aa->a, *bv=bb->a,*v1,*v2;
681   PetscScalar       *val;
682 
683   PetscFunctionBegin;
684   ierr = MatGetBlockSize(A,&bs);CHKERRQ(ierr);
685   if (reuse == MAT_INITIAL_MATRIX) {
686     nz   = bs2*(aa->nz + bb->nz);
687     *nnz = nz;
688     ierr = PetscMalloc((2*nz*sizeof(PetscInt)+nz*sizeof(PetscScalar)), &row);CHKERRQ(ierr);
689     col  = row + nz;
690     val  = (PetscScalar*)(col + nz);
691 
692     *r = row; *c = col; *v = val;
693   } else {
694     row = *r; col = *c; val = *v;
695   }
696 
697   jj = 0; irow = rstart;
698   for (i=0; i<mbs; i++) {
699     countA = ai[i+1] - ai[i];
700     countB = bi[i+1] - bi[i];
701     ajj    = aj + ai[i];
702     bjj    = bj + bi[i];
703     v1     = av + bs2*ai[i];
704     v2     = bv + bs2*bi[i];
705 
706     idx = 0;
707     /* A-part */
708     for (k=0; k<countA; k++) {
709       for (j=0; j<bs; j++) {
710         for (n=0; n<bs; n++) {
711           if (reuse == MAT_INITIAL_MATRIX) {
712             row[jj] = irow + n + shift;
713             col[jj] = rstart + bs*ajj[k] + j + shift;
714           }
715           val[jj++] = v1[idx++];
716         }
717       }
718     }
719 
720     idx = 0;
721     /* B-part */
722     for (k=0; k<countB; k++) {
723       for (j=0; j<bs; j++) {
724         for (n=0; n<bs; n++) {
725           if (reuse == MAT_INITIAL_MATRIX) {
726             row[jj] = irow + n + shift;
727             col[jj] = bs*garray[bjj[k]] + j + shift;
728           }
729           val[jj++] = v2[idx++];
730         }
731       }
732     }
733     irow += bs;
734   }
735   PetscFunctionReturn(0);
736 }
737 
738 #undef __FUNCT__
739 #define __FUNCT__ "MatConvertToTriples_mpiaij_mpisbaij"
740 PetscErrorCode MatConvertToTriples_mpiaij_mpisbaij(Mat A,int shift,MatReuse reuse,int *nnz,int **r, int **c, PetscScalar **v)
741 {
742   const PetscInt    *ai, *aj,*adiag, *bi, *bj,*garray,m=A->rmap->n,*ajj,*bjj;
743   PetscErrorCode    ierr;
744   PetscInt          rstart,nz,nza,nzb,i,j,jj,irow,countA,countB;
745   PetscInt          *row,*col;
746   const PetscScalar *av, *bv,*v1,*v2;
747   PetscScalar       *val;
748   Mat_MPIAIJ        *mat =  (Mat_MPIAIJ*)A->data;
749   Mat_SeqAIJ        *aa  =(Mat_SeqAIJ*)(mat->A)->data;
750   Mat_SeqAIJ        *bb  =(Mat_SeqAIJ*)(mat->B)->data;
751 
752   PetscFunctionBegin;
753   ai=aa->i; aj=aa->j; adiag=aa->diag;
754   bi=bb->i; bj=bb->j; garray = mat->garray;
755   av=aa->a; bv=bb->a;
756 
757   rstart = A->rmap->rstart;
758 
759   if (reuse == MAT_INITIAL_MATRIX) {
760     nza = 0;    /* num of upper triangular entries in mat->A, including diagonals */
761     nzb = 0;    /* num of upper triangular entries in mat->B */
762     for (i=0; i<m; i++) {
763       nza   += (ai[i+1] - adiag[i]);
764       countB = bi[i+1] - bi[i];
765       bjj    = bj + bi[i];
766       for (j=0; j<countB; j++) {
767         if (garray[bjj[j]] > rstart) nzb++;
768       }
769     }
770 
771     nz   = nza + nzb; /* total nz of upper triangular part of mat */
772     *nnz = nz;
773     ierr = PetscMalloc((2*nz*sizeof(PetscInt)+nz*sizeof(PetscScalar)), &row);CHKERRQ(ierr);
774     col  = row + nz;
775     val  = (PetscScalar*)(col + nz);
776 
777     *r = row; *c = col; *v = val;
778   } else {
779     row = *r; col = *c; val = *v;
780   }
781 
782   jj = 0; irow = rstart;
783   for (i=0; i<m; i++) {
784     ajj    = aj + adiag[i];                 /* ptr to the beginning of the diagonal of this row */
785     v1     = av + adiag[i];
786     countA = ai[i+1] - adiag[i];
787     countB = bi[i+1] - bi[i];
788     bjj    = bj + bi[i];
789     v2     = bv + bi[i];
790 
791     /* A-part */
792     for (j=0; j<countA; j++) {
793       if (reuse == MAT_INITIAL_MATRIX) {
794         row[jj] = irow + shift; col[jj] = rstart + ajj[j] + shift;
795       }
796       val[jj++] = v1[j];
797     }
798 
799     /* B-part */
800     for (j=0; j < countB; j++) {
801       if (garray[bjj[j]] > rstart) {
802         if (reuse == MAT_INITIAL_MATRIX) {
803           row[jj] = irow + shift; col[jj] = garray[bjj[j]] + shift;
804         }
805         val[jj++] = v2[j];
806       }
807     }
808     irow++;
809   }
810   PetscFunctionReturn(0);
811 }
812 
813 #undef __FUNCT__
814 #define __FUNCT__ "MatDestroy_MUMPS"
815 PetscErrorCode MatDestroy_MUMPS(Mat A)
816 {
817   Mat_MUMPS      *mumps=(Mat_MUMPS*)A->data;
818   PetscErrorCode ierr;
819 
820   PetscFunctionBegin;
821   ierr = PetscFree2(mumps->id.sol_loc,mumps->id.isol_loc);CHKERRQ(ierr);
822   ierr = VecScatterDestroy(&mumps->scat_rhs);CHKERRQ(ierr);
823   ierr = VecScatterDestroy(&mumps->scat_sol);CHKERRQ(ierr);
824   ierr = VecDestroy(&mumps->b_seq);CHKERRQ(ierr);
825   ierr = VecDestroy(&mumps->x_seq);CHKERRQ(ierr);
826   ierr = PetscFree(mumps->id.perm_in);CHKERRQ(ierr);
827   ierr = PetscFree(mumps->irn);CHKERRQ(ierr);
828   ierr = PetscFree(mumps->info);CHKERRQ(ierr);
829   ierr = MatMumpsResetSchur_Private(mumps);CHKERRQ(ierr);
830   mumps->id.job = JOB_END;
831   PetscMUMPS_c(&mumps->id);
832   ierr = MPI_Comm_free(&mumps->comm_mumps);CHKERRQ(ierr);
833   ierr = PetscFree(A->data);CHKERRQ(ierr);
834 
835   /* clear composed functions */
836   ierr = PetscObjectComposeFunction((PetscObject)A,"MatFactorGetSolverPackage_C",NULL);CHKERRQ(ierr);
837   ierr = PetscObjectComposeFunction((PetscObject)A,"MatFactorSetSchurIS_C",NULL);CHKERRQ(ierr);
838   ierr = PetscObjectComposeFunction((PetscObject)A,"MatFactorInvertSchurComplement_C",NULL);CHKERRQ(ierr);
839   ierr = PetscObjectComposeFunction((PetscObject)A,"MatFactorCreateSchurComplement_C",NULL);CHKERRQ(ierr);
840   ierr = PetscObjectComposeFunction((PetscObject)A,"MatFactorGetSchurComplement_C",NULL);CHKERRQ(ierr);
841   ierr = PetscObjectComposeFunction((PetscObject)A,"MatFactorSolveSchurComplement_C",NULL);CHKERRQ(ierr);
842   ierr = PetscObjectComposeFunction((PetscObject)A,"MatFactorSolveSchurComplementTranspose_C",NULL);CHKERRQ(ierr);
843   ierr = PetscObjectComposeFunction((PetscObject)A,"MatFactorFactorizeSchurComplement_C",NULL);CHKERRQ(ierr);
844   ierr = PetscObjectComposeFunction((PetscObject)A,"MatFactorSetSchurComplementSolverType_C",NULL);CHKERRQ(ierr);
845   ierr = PetscObjectComposeFunction((PetscObject)A,"MatMumpsSetIcntl_C",NULL);CHKERRQ(ierr);
846   ierr = PetscObjectComposeFunction((PetscObject)A,"MatMumpsGetIcntl_C",NULL);CHKERRQ(ierr);
847   ierr = PetscObjectComposeFunction((PetscObject)A,"MatMumpsSetCntl_C",NULL);CHKERRQ(ierr);
848   ierr = PetscObjectComposeFunction((PetscObject)A,"MatMumpsGetCntl_C",NULL);CHKERRQ(ierr);
849   ierr = PetscObjectComposeFunction((PetscObject)A,"MatMumpsGetInfo_C",NULL);CHKERRQ(ierr);
850   ierr = PetscObjectComposeFunction((PetscObject)A,"MatMumpsGetInfog_C",NULL);CHKERRQ(ierr);
851   ierr = PetscObjectComposeFunction((PetscObject)A,"MatMumpsGetRinfo_C",NULL);CHKERRQ(ierr);
852   ierr = PetscObjectComposeFunction((PetscObject)A,"MatMumpsGetRinfog_C",NULL);CHKERRQ(ierr);
853   PetscFunctionReturn(0);
854 }
855 
856 #undef __FUNCT__
857 #define __FUNCT__ "MatSolve_MUMPS"
858 PetscErrorCode MatSolve_MUMPS(Mat A,Vec b,Vec x)
859 {
860   Mat_MUMPS        *mumps=(Mat_MUMPS*)A->data;
861   PetscScalar      *array;
862   Vec              b_seq;
863   IS               is_iden,is_petsc;
864   PetscErrorCode   ierr;
865   PetscInt         i;
866   PetscBool        second_solve = PETSC_FALSE;
867   static PetscBool cite1 = PETSC_FALSE,cite2 = PETSC_FALSE;
868 
869   PetscFunctionBegin;
870   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);
871   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);
872 
873   if (A->errortype) {
874     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);
875     ierr = VecSetInf(x);CHKERRQ(ierr);
876     PetscFunctionReturn(0);
877   }
878 
879   mumps->id.nrhs = 1;
880   b_seq          = mumps->b_seq;
881   if (mumps->size > 1) {
882     /* MUMPS only supports centralized rhs. Scatter b into a seqential rhs vector */
883     ierr = VecScatterBegin(mumps->scat_rhs,b,b_seq,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
884     ierr = VecScatterEnd(mumps->scat_rhs,b,b_seq,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
885     if (!mumps->myid) {ierr = VecGetArray(b_seq,&array);CHKERRQ(ierr);}
886   } else {  /* size == 1 */
887     ierr = VecCopy(b,x);CHKERRQ(ierr);
888     ierr = VecGetArray(x,&array);CHKERRQ(ierr);
889   }
890   if (!mumps->myid) { /* define rhs on the host */
891     mumps->id.nrhs = 1;
892     mumps->id.rhs = (MumpsScalar*)array;
893   }
894 
895   /*
896      handle condensation step of Schur complement (if any)
897      We set by default ICNTL(26) == -1 when Schur indices have been provided by the user.
898      According to MUMPS (5.0.0) manual, any value should be harmful during the factorization phase
899      Unless the user provides a valid value for ICNTL(26), MatSolve and MatMatSolve routines solve the full system.
900      This requires an extra call to PetscMUMPS_c and the computation of the factors for S
901   */
902   if (mumps->id.ICNTL(26) < 0 || mumps->id.ICNTL(26) > 2) {
903     second_solve = PETSC_TRUE;
904     ierr = MatMumpsHandleSchur_Private(mumps,PETSC_FALSE);CHKERRQ(ierr);
905   }
906   /* solve phase */
907   /*-------------*/
908   mumps->id.job = JOB_SOLVE;
909   PetscMUMPS_c(&mumps->id);
910   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));
911 
912   /* handle expansion step of Schur complement (if any) */
913   if (second_solve) {
914     ierr = MatMumpsHandleSchur_Private(mumps,PETSC_TRUE);CHKERRQ(ierr);
915   }
916 
917   if (mumps->size > 1) { /* convert mumps distributed solution to petsc mpi x */
918     if (mumps->scat_sol && mumps->ICNTL9_pre != mumps->id.ICNTL(9)) {
919       /* when id.ICNTL(9) changes, the contents of lsol_loc may change (not its size, lsol_loc), recreates scat_sol */
920       ierr = VecScatterDestroy(&mumps->scat_sol);CHKERRQ(ierr);
921     }
922     if (!mumps->scat_sol) { /* create scatter scat_sol */
923       ierr = ISCreateStride(PETSC_COMM_SELF,mumps->id.lsol_loc,0,1,&is_iden);CHKERRQ(ierr); /* from */
924       for (i=0; i<mumps->id.lsol_loc; i++) {
925         mumps->id.isol_loc[i] -= 1; /* change Fortran style to C style */
926       }
927       ierr = ISCreateGeneral(PETSC_COMM_SELF,mumps->id.lsol_loc,mumps->id.isol_loc,PETSC_COPY_VALUES,&is_petsc);CHKERRQ(ierr);  /* to */
928       ierr = VecScatterCreate(mumps->x_seq,is_iden,x,is_petsc,&mumps->scat_sol);CHKERRQ(ierr);
929       ierr = ISDestroy(&is_iden);CHKERRQ(ierr);
930       ierr = ISDestroy(&is_petsc);CHKERRQ(ierr);
931 
932       mumps->ICNTL9_pre = mumps->id.ICNTL(9); /* save current value of id.ICNTL(9) */
933     }
934 
935     ierr = VecScatterBegin(mumps->scat_sol,mumps->x_seq,x,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
936     ierr = VecScatterEnd(mumps->scat_sol,mumps->x_seq,x,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
937   }
938   PetscFunctionReturn(0);
939 }
940 
941 #undef __FUNCT__
942 #define __FUNCT__ "MatSolveTranspose_MUMPS"
943 PetscErrorCode MatSolveTranspose_MUMPS(Mat A,Vec b,Vec x)
944 {
945   Mat_MUMPS      *mumps=(Mat_MUMPS*)A->data;
946   PetscErrorCode ierr;
947 
948   PetscFunctionBegin;
949   mumps->id.ICNTL(9) = 0;
950   ierr = MatSolve_MUMPS(A,b,x);CHKERRQ(ierr);
951   mumps->id.ICNTL(9) = 1;
952   PetscFunctionReturn(0);
953 }
954 
955 #undef __FUNCT__
956 #define __FUNCT__ "MatMatSolve_MUMPS"
957 PetscErrorCode MatMatSolve_MUMPS(Mat A,Mat B,Mat X)
958 {
959   PetscErrorCode ierr;
960   PetscBool      flg;
961   Mat_MUMPS      *mumps=(Mat_MUMPS*)A->data;
962   PetscInt       i,nrhs,M;
963   PetscScalar    *array,*bray;
964 
965   PetscFunctionBegin;
966   ierr = PetscObjectTypeCompareAny((PetscObject)B,&flg,MATSEQDENSE,MATMPIDENSE,NULL);CHKERRQ(ierr);
967   if (!flg) SETERRQ(PetscObjectComm((PetscObject)B),PETSC_ERR_ARG_WRONG,"Matrix B must be MATDENSE matrix");
968   ierr = PetscObjectTypeCompareAny((PetscObject)X,&flg,MATSEQDENSE,MATMPIDENSE,NULL);CHKERRQ(ierr);
969   if (!flg) SETERRQ(PetscObjectComm((PetscObject)X),PETSC_ERR_ARG_WRONG,"Matrix X must be MATDENSE matrix");
970   if (B->rmap->n != X->rmap->n) SETERRQ(PetscObjectComm((PetscObject)B),PETSC_ERR_ARG_WRONG,"Matrix B and X must have same row distribution");
971 
972   ierr = MatGetSize(B,&M,&nrhs);CHKERRQ(ierr);
973   mumps->id.nrhs = nrhs;
974   mumps->id.lrhs = M;
975 
976   if (mumps->size == 1) {
977     PetscBool second_solve = PETSC_FALSE;
978     /* copy B to X */
979     ierr = MatDenseGetArray(B,&bray);CHKERRQ(ierr);
980     ierr = MatDenseGetArray(X,&array);CHKERRQ(ierr);
981     ierr = PetscMemcpy(array,bray,M*nrhs*sizeof(PetscScalar));CHKERRQ(ierr);
982     ierr = MatDenseRestoreArray(B,&bray);CHKERRQ(ierr);
983     mumps->id.rhs = (MumpsScalar*)array;
984 
985     /* handle condensation step of Schur complement (if any) */
986     if (mumps->id.ICNTL(26) < 0 || mumps->id.ICNTL(26) > 2) {
987       second_solve = PETSC_TRUE;
988       ierr = MatMumpsHandleSchur_Private(mumps,PETSC_FALSE);CHKERRQ(ierr);
989     }
990     /* solve phase */
991     /*-------------*/
992     mumps->id.job = JOB_SOLVE;
993     PetscMUMPS_c(&mumps->id);
994     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));
995 
996     /* handle expansion step of Schur complement (if any) */
997     if (second_solve) {
998       ierr = MatMumpsHandleSchur_Private(mumps,PETSC_TRUE);CHKERRQ(ierr);
999     }
1000     ierr = MatDenseRestoreArray(X,&array);CHKERRQ(ierr);
1001   } else {  /*--------- parallel case --------*/
1002     PetscInt       lsol_loc,nlsol_loc,*isol_loc,*idx,*iidx,*idxx,*isol_loc_save;
1003     MumpsScalar    *sol_loc,*sol_loc_save;
1004     IS             is_to,is_from;
1005     PetscInt       k,proc,j,m;
1006     const PetscInt *rstart;
1007     Vec            v_mpi,b_seq,x_seq;
1008     VecScatter     scat_rhs,scat_sol;
1009 
1010     /* create x_seq to hold local solution */
1011     isol_loc_save = mumps->id.isol_loc; /* save it for MatSovle() */
1012     sol_loc_save  = mumps->id.sol_loc;
1013 
1014     lsol_loc  = mumps->id.INFO(23);
1015     nlsol_loc = nrhs*lsol_loc;     /* length of sol_loc */
1016     ierr = PetscMalloc2(nlsol_loc,&sol_loc,nlsol_loc,&isol_loc);CHKERRQ(ierr);
1017     mumps->id.sol_loc = (MumpsScalar*)sol_loc;
1018     mumps->id.isol_loc = isol_loc;
1019 
1020     ierr = VecCreateSeqWithArray(PETSC_COMM_SELF,1,nlsol_loc,(PetscScalar*)sol_loc,&x_seq);CHKERRQ(ierr);
1021 
1022     /* copy rhs matrix B into vector v_mpi */
1023     ierr = MatGetLocalSize(B,&m,NULL);CHKERRQ(ierr);
1024     ierr = MatDenseGetArray(B,&bray);CHKERRQ(ierr);
1025     ierr = VecCreateMPIWithArray(PetscObjectComm((PetscObject)B),1,nrhs*m,nrhs*M,(const PetscScalar*)bray,&v_mpi);CHKERRQ(ierr);
1026     ierr = MatDenseRestoreArray(B,&bray);CHKERRQ(ierr);
1027 
1028     /* scatter v_mpi to b_seq because MUMPS only supports centralized rhs */
1029     /* idx: maps from k-th index of v_mpi to (i,j)-th global entry of B;
1030       iidx: inverse of idx, will be used by scattering xx_seq -> X       */
1031     ierr = PetscMalloc2(nrhs*M,&idx,nrhs*M,&iidx);CHKERRQ(ierr);
1032     ierr = MatGetOwnershipRanges(B,&rstart);CHKERRQ(ierr);
1033     k = 0;
1034     for (proc=0; proc<mumps->size; proc++){
1035       for (j=0; j<nrhs; j++){
1036         for (i=rstart[proc]; i<rstart[proc+1]; i++){
1037           iidx[j*M + i] = k;
1038           idx[k++]      = j*M + i;
1039         }
1040       }
1041     }
1042 
1043     if (!mumps->myid) {
1044       ierr = VecCreateSeq(PETSC_COMM_SELF,nrhs*M,&b_seq);CHKERRQ(ierr);
1045       ierr = ISCreateGeneral(PETSC_COMM_SELF,nrhs*M,idx,PETSC_COPY_VALUES,&is_to);CHKERRQ(ierr);
1046       ierr = ISCreateStride(PETSC_COMM_SELF,nrhs*M,0,1,&is_from);CHKERRQ(ierr);
1047     } else {
1048       ierr = VecCreateSeq(PETSC_COMM_SELF,0,&b_seq);CHKERRQ(ierr);
1049       ierr = ISCreateStride(PETSC_COMM_SELF,0,0,1,&is_to);CHKERRQ(ierr);
1050       ierr = ISCreateStride(PETSC_COMM_SELF,0,0,1,&is_from);CHKERRQ(ierr);
1051     }
1052     ierr = VecScatterCreate(v_mpi,is_from,b_seq,is_to,&scat_rhs);CHKERRQ(ierr);
1053     ierr = VecScatterBegin(scat_rhs,v_mpi,b_seq,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1054     ierr = ISDestroy(&is_to);CHKERRQ(ierr);
1055     ierr = ISDestroy(&is_from);CHKERRQ(ierr);
1056     ierr = VecScatterEnd(scat_rhs,v_mpi,b_seq,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1057 
1058     if (!mumps->myid) { /* define rhs on the host */
1059       ierr = VecGetArray(b_seq,&bray);CHKERRQ(ierr);
1060       mumps->id.rhs = (MumpsScalar*)bray;
1061       ierr = VecRestoreArray(b_seq,&bray);CHKERRQ(ierr);
1062     }
1063 
1064     /* solve phase */
1065     /*-------------*/
1066     mumps->id.job = JOB_SOLVE;
1067     PetscMUMPS_c(&mumps->id);
1068     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));
1069 
1070     /* scatter mumps distributed solution to petsc vector v_mpi, which shares local arrays with solution matrix X */
1071     ierr = MatDenseGetArray(X,&array);CHKERRQ(ierr);
1072     ierr = VecPlaceArray(v_mpi,array);CHKERRQ(ierr);
1073 
1074     /* create scatter scat_sol */
1075     ierr = PetscMalloc1(nlsol_loc,&idxx);CHKERRQ(ierr);
1076     ierr = ISCreateStride(PETSC_COMM_SELF,nlsol_loc,0,1,&is_from);CHKERRQ(ierr);
1077     for (i=0; i<lsol_loc; i++) {
1078       isol_loc[i] -= 1; /* change Fortran style to C style */
1079       idxx[i] = iidx[isol_loc[i]];
1080       for (j=1; j<nrhs; j++){
1081         idxx[j*lsol_loc+i] = iidx[isol_loc[i]+j*M];
1082       }
1083     }
1084     ierr = ISCreateGeneral(PETSC_COMM_SELF,nlsol_loc,idxx,PETSC_COPY_VALUES,&is_to);CHKERRQ(ierr);
1085     ierr = VecScatterCreate(x_seq,is_from,v_mpi,is_to,&scat_sol);CHKERRQ(ierr);
1086     ierr = VecScatterBegin(scat_sol,x_seq,v_mpi,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1087     ierr = ISDestroy(&is_from);CHKERRQ(ierr);
1088     ierr = ISDestroy(&is_to);CHKERRQ(ierr);
1089     ierr = VecScatterEnd(scat_sol,x_seq,v_mpi,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1090     ierr = MatDenseRestoreArray(X,&array);CHKERRQ(ierr);
1091 
1092     /* free spaces */
1093     mumps->id.sol_loc = sol_loc_save;
1094     mumps->id.isol_loc = isol_loc_save;
1095 
1096     ierr = PetscFree2(sol_loc,isol_loc);CHKERRQ(ierr);
1097     ierr = PetscFree2(idx,iidx);CHKERRQ(ierr);
1098     ierr = PetscFree(idxx);CHKERRQ(ierr);
1099     ierr = VecDestroy(&x_seq);CHKERRQ(ierr);
1100     ierr = VecDestroy(&v_mpi);CHKERRQ(ierr);
1101     ierr = VecDestroy(&b_seq);CHKERRQ(ierr);
1102     ierr = VecScatterDestroy(&scat_rhs);CHKERRQ(ierr);
1103     ierr = VecScatterDestroy(&scat_sol);CHKERRQ(ierr);
1104   }
1105   PetscFunctionReturn(0);
1106 }
1107 
1108 #if !defined(PETSC_USE_COMPLEX)
1109 /*
1110   input:
1111    F:        numeric factor
1112   output:
1113    nneg:     total number of negative pivots
1114    nzero:    total number of zero pivots
1115    npos:     (global dimension of F) - nneg - nzero
1116 */
1117 #undef __FUNCT__
1118 #define __FUNCT__ "MatGetInertia_SBAIJMUMPS"
1119 PetscErrorCode MatGetInertia_SBAIJMUMPS(Mat F,int *nneg,int *nzero,int *npos)
1120 {
1121   Mat_MUMPS      *mumps =(Mat_MUMPS*)F->data;
1122   PetscErrorCode ierr;
1123   PetscMPIInt    size;
1124 
1125   PetscFunctionBegin;
1126   ierr = MPI_Comm_size(PetscObjectComm((PetscObject)F),&size);CHKERRQ(ierr);
1127   /* 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 */
1128   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));
1129 
1130   if (nneg) *nneg = mumps->id.INFOG(12);
1131   if (nzero || npos) {
1132     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");
1133     if (nzero) *nzero = mumps->id.INFOG(28);
1134     if (npos) *npos   = F->rmap->N - (mumps->id.INFOG(12) + mumps->id.INFOG(28));
1135   }
1136   PetscFunctionReturn(0);
1137 }
1138 #endif
1139 
1140 #undef __FUNCT__
1141 #define __FUNCT__ "MatFactorNumeric_MUMPS"
1142 PetscErrorCode MatFactorNumeric_MUMPS(Mat F,Mat A,const MatFactorInfo *info)
1143 {
1144   Mat_MUMPS      *mumps =(Mat_MUMPS*)(F)->data;
1145   PetscErrorCode ierr;
1146   PetscBool      isMPIAIJ;
1147 
1148   PetscFunctionBegin;
1149   if (mumps->id.INFOG(1) < 0) {
1150     if (mumps->id.INFOG(1) == -6) {
1151       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);
1152     }
1153     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);
1154     PetscFunctionReturn(0);
1155   }
1156 
1157   ierr = (*mumps->ConvertToTriples)(A, 1, MAT_REUSE_MATRIX, &mumps->nz, &mumps->irn, &mumps->jcn, &mumps->val);CHKERRQ(ierr);
1158 
1159   /* numerical factorization phase */
1160   /*-------------------------------*/
1161   mumps->id.job = JOB_FACTNUMERIC;
1162   if (!mumps->id.ICNTL(18)) { /* A is centralized */
1163     if (!mumps->myid) {
1164       mumps->id.a = (MumpsScalar*)mumps->val;
1165     }
1166   } else {
1167     mumps->id.a_loc = (MumpsScalar*)mumps->val;
1168   }
1169   PetscMUMPS_c(&mumps->id);
1170   if (mumps->id.INFOG(1) < 0) {
1171     if (A->erroriffailure) {
1172       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));
1173     } else {
1174       if (mumps->id.INFOG(1) == -10) { /* numerically singular matrix */
1175         ierr = PetscInfo2(F,"matrix is numerically singular, INFOG(1)=%d, INFO(2)=%d\n",mumps->id.INFOG(1),mumps->id.INFO(2));CHKERRQ(ierr);
1176         F->errortype = MAT_FACTOR_NUMERIC_ZEROPIVOT;
1177       } else if (mumps->id.INFOG(1) == -13) {
1178         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);
1179         F->errortype = MAT_FACTOR_OUTMEMORY;
1180       } else if (mumps->id.INFOG(1) == -8 || mumps->id.INFOG(1) == -9 || (-16 < mumps->id.INFOG(1) && mumps->id.INFOG(1) < -10) ) {
1181         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);
1182         F->errortype = MAT_FACTOR_OUTMEMORY;
1183       } else {
1184         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);
1185         F->errortype = MAT_FACTOR_OTHER;
1186       }
1187     }
1188   }
1189   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));
1190 
1191   (F)->assembled        = PETSC_TRUE;
1192   mumps->matstruc       = SAME_NONZERO_PATTERN;
1193   mumps->schur_factored = PETSC_FALSE;
1194   mumps->schur_inverted = PETSC_FALSE;
1195 
1196   /* just to be sure that ICNTL(19) value returned by a call from MatMumpsGetIcntl is always consistent */
1197   if (!mumps->sym && mumps->id.ICNTL(19) && mumps->id.ICNTL(19) != 1) mumps->id.ICNTL(19) = 3;
1198 
1199   if (mumps->size > 1) {
1200     PetscInt    lsol_loc;
1201     PetscScalar *sol_loc;
1202 
1203     ierr = PetscObjectTypeCompare((PetscObject)A,MATMPIAIJ,&isMPIAIJ);CHKERRQ(ierr);
1204 
1205     /* distributed solution; Create x_seq=sol_loc for repeated use */
1206     if (mumps->x_seq) {
1207       ierr = VecScatterDestroy(&mumps->scat_sol);CHKERRQ(ierr);
1208       ierr = PetscFree2(mumps->id.sol_loc,mumps->id.isol_loc);CHKERRQ(ierr);
1209       ierr = VecDestroy(&mumps->x_seq);CHKERRQ(ierr);
1210     }
1211     lsol_loc = mumps->id.INFO(23); /* length of sol_loc */
1212     ierr = PetscMalloc2(lsol_loc,&sol_loc,lsol_loc,&mumps->id.isol_loc);CHKERRQ(ierr);
1213     mumps->id.lsol_loc = lsol_loc;
1214     mumps->id.sol_loc = (MumpsScalar*)sol_loc;
1215     ierr = VecCreateSeqWithArray(PETSC_COMM_SELF,1,lsol_loc,sol_loc,&mumps->x_seq);CHKERRQ(ierr);
1216   }
1217   PetscFunctionReturn(0);
1218 }
1219 
1220 /* Sets MUMPS options from the options database */
1221 #undef __FUNCT__
1222 #define __FUNCT__ "PetscSetMUMPSFromOptions"
1223 PetscErrorCode PetscSetMUMPSFromOptions(Mat F, Mat A)
1224 {
1225   Mat_MUMPS      *mumps = (Mat_MUMPS*)F->data;
1226   PetscErrorCode ierr;
1227   PetscInt       icntl,info[40],i,ninfo=40;
1228   PetscBool      flg;
1229 
1230   PetscFunctionBegin;
1231   ierr = PetscOptionsBegin(PetscObjectComm((PetscObject)A),((PetscObject)A)->prefix,"MUMPS Options","Mat");CHKERRQ(ierr);
1232   ierr = PetscOptionsInt("-mat_mumps_icntl_1","ICNTL(1): output stream for error messages","None",mumps->id.ICNTL(1),&icntl,&flg);CHKERRQ(ierr);
1233   if (flg) mumps->id.ICNTL(1) = icntl;
1234   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);
1235   if (flg) mumps->id.ICNTL(2) = icntl;
1236   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);
1237   if (flg) mumps->id.ICNTL(3) = icntl;
1238 
1239   ierr = PetscOptionsInt("-mat_mumps_icntl_4","ICNTL(4): level of printing (0 to 4)","None",mumps->id.ICNTL(4),&icntl,&flg);CHKERRQ(ierr);
1240   if (flg) mumps->id.ICNTL(4) = icntl;
1241   if (mumps->id.ICNTL(4) || PetscLogPrintInfo) mumps->id.ICNTL(3) = 6; /* resume MUMPS default id.ICNTL(3) = 6 */
1242 
1243   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);
1244   if (flg) mumps->id.ICNTL(6) = icntl;
1245 
1246   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);
1247   if (flg) {
1248     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");
1249     else mumps->id.ICNTL(7) = icntl;
1250   }
1251 
1252   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);
1253   /* 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() */
1254   ierr = PetscOptionsInt("-mat_mumps_icntl_10","ICNTL(10): max num of refinements","None",mumps->id.ICNTL(10),&mumps->id.ICNTL(10),NULL);CHKERRQ(ierr);
1255   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);
1256   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);
1257   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);
1258   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);
1259   ierr = PetscOptionsInt("-mat_mumps_icntl_19","ICNTL(19): computes the Schur complement","None",mumps->id.ICNTL(19),&mumps->id.ICNTL(19),NULL);CHKERRQ(ierr);
1260   if (mumps->id.ICNTL(19) <= 0 || mumps->id.ICNTL(19) > 3) { /* reset any schur data (if any) */
1261     ierr = MatMumpsResetSchur_Private(mumps);CHKERRQ(ierr);
1262   }
1263   /* 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 */
1264   /* 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 */
1265 
1266   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);
1267   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);
1268   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);
1269   if (mumps->id.ICNTL(24)) {
1270     mumps->id.ICNTL(13) = 1; /* turn-off ScaLAPACK to help with the correct detection of null pivots */
1271   }
1272 
1273   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);
1274   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);
1275   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);
1276   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);
1277   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);
1278   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);
1279   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);
1280   /* 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 */
1281   ierr = PetscOptionsInt("-mat_mumps_icntl_33","ICNTL(33): compute determinant","None",mumps->id.ICNTL(33),&mumps->id.ICNTL(33),NULL);CHKERRQ(ierr);
1282 
1283   ierr = PetscOptionsReal("-mat_mumps_cntl_1","CNTL(1): relative pivoting threshold","None",mumps->id.CNTL(1),&mumps->id.CNTL(1),NULL);CHKERRQ(ierr);
1284   ierr = PetscOptionsReal("-mat_mumps_cntl_2","CNTL(2): stopping criterion of refinement","None",mumps->id.CNTL(2),&mumps->id.CNTL(2),NULL);CHKERRQ(ierr);
1285   ierr = PetscOptionsReal("-mat_mumps_cntl_3","CNTL(3): absolute pivoting threshold","None",mumps->id.CNTL(3),&mumps->id.CNTL(3),NULL);CHKERRQ(ierr);
1286   ierr = PetscOptionsReal("-mat_mumps_cntl_4","CNTL(4): value for static pivoting","None",mumps->id.CNTL(4),&mumps->id.CNTL(4),NULL);CHKERRQ(ierr);
1287   ierr = PetscOptionsReal("-mat_mumps_cntl_5","CNTL(5): fixation for null pivots","None",mumps->id.CNTL(5),&mumps->id.CNTL(5),NULL);CHKERRQ(ierr);
1288 
1289   ierr = PetscOptionsString("-mat_mumps_ooc_tmpdir", "out of core directory", "None", mumps->id.ooc_tmpdir, mumps->id.ooc_tmpdir, 256, NULL);CHKERRQ(ierr);
1290 
1291   ierr = PetscOptionsIntArray("-mat_mumps_view_info","request INFO local to each processor","",info,&ninfo,NULL);CHKERRQ(ierr);
1292   if (ninfo) {
1293     if (ninfo > 40) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_USER,"number of INFO %d must <= 40\n",ninfo);
1294     ierr = PetscMalloc1(ninfo,&mumps->info);CHKERRQ(ierr);
1295     mumps->ninfo = ninfo;
1296     for (i=0; i<ninfo; i++) {
1297       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);
1298       else  mumps->info[i] = info[i];
1299     }
1300   }
1301 
1302   ierr = PetscOptionsEnd();CHKERRQ(ierr);
1303   PetscFunctionReturn(0);
1304 }
1305 
1306 #undef __FUNCT__
1307 #define __FUNCT__ "PetscInitializeMUMPS"
1308 PetscErrorCode PetscInitializeMUMPS(Mat A,Mat_MUMPS *mumps)
1309 {
1310   PetscErrorCode ierr;
1311 
1312   PetscFunctionBegin;
1313   ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)A), &mumps->myid);CHKERRQ(ierr);
1314   ierr = MPI_Comm_size(PetscObjectComm((PetscObject)A),&mumps->size);CHKERRQ(ierr);
1315   ierr = MPI_Comm_dup(PetscObjectComm((PetscObject)A),&(mumps->comm_mumps));CHKERRQ(ierr);
1316 
1317   mumps->id.comm_fortran = MPI_Comm_c2f(mumps->comm_mumps);
1318 
1319   mumps->id.job = JOB_INIT;
1320   mumps->id.par = 1;  /* host participates factorizaton and solve */
1321   mumps->id.sym = mumps->sym;
1322   PetscMUMPS_c(&mumps->id);
1323 
1324   mumps->scat_rhs     = NULL;
1325   mumps->scat_sol     = NULL;
1326 
1327   /* set PETSc-MUMPS default options - override MUMPS default */
1328   mumps->id.ICNTL(3) = 0;
1329   mumps->id.ICNTL(4) = 0;
1330   if (mumps->size == 1) {
1331     mumps->id.ICNTL(18) = 0;   /* centralized assembled matrix input */
1332   } else {
1333     mumps->id.ICNTL(18) = 3;   /* distributed assembled matrix input */
1334     mumps->id.ICNTL(20) = 0;   /* rhs is in dense format */
1335     mumps->id.ICNTL(21) = 1;   /* distributed solution */
1336   }
1337 
1338   /* schur */
1339   mumps->id.size_schur      = 0;
1340   mumps->id.listvar_schur   = NULL;
1341   mumps->id.schur           = NULL;
1342   mumps->sizeredrhs         = 0;
1343   mumps->schur_pivots       = NULL;
1344   mumps->schur_work         = NULL;
1345   mumps->schur_sol          = NULL;
1346   mumps->schur_sizesol      = 0;
1347   mumps->schur_factored     = PETSC_FALSE;
1348   mumps->schur_inverted     = PETSC_FALSE;
1349   mumps->schur_sym          = mumps->id.sym;
1350   PetscFunctionReturn(0);
1351 }
1352 
1353 #undef __FUNCT__
1354 #define __FUNCT__ "MatFactorSymbolic_MUMPS_ReportIfError"
1355 PetscErrorCode MatFactorSymbolic_MUMPS_ReportIfError(Mat F,Mat A,const MatFactorInfo *info,Mat_MUMPS *mumps)
1356 {
1357   PetscErrorCode ierr;
1358 
1359   PetscFunctionBegin;
1360   if (mumps->id.INFOG(1) < 0) {
1361     if (A->erroriffailure) {
1362       SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error reported by MUMPS in analysis phase: INFOG(1)=%d\n",mumps->id.INFOG(1));
1363     } else {
1364       if (mumps->id.INFOG(1) == -6) {
1365         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);
1366         F->errortype = MAT_FACTOR_STRUCT_ZEROPIVOT;
1367       } else if (mumps->id.INFOG(1) == -5 || mumps->id.INFOG(1) == -7) {
1368         ierr = PetscInfo2(F,"problem of workspace, INFOG(1)=%d, INFO(2)=%d\n",mumps->id.INFOG(1),mumps->id.INFO(2));CHKERRQ(ierr);
1369         F->errortype = MAT_FACTOR_OUTMEMORY;
1370       } else {
1371         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);
1372         F->errortype = MAT_FACTOR_OTHER;
1373       }
1374     }
1375   }
1376   PetscFunctionReturn(0);
1377 }
1378 
1379 /* Note Petsc r(=c) permutation is used when mumps->id.ICNTL(7)==1 with centralized assembled matrix input; otherwise r and c are ignored */
1380 #undef __FUNCT__
1381 #define __FUNCT__ "MatLUFactorSymbolic_AIJMUMPS"
1382 PetscErrorCode MatLUFactorSymbolic_AIJMUMPS(Mat F,Mat A,IS r,IS c,const MatFactorInfo *info)
1383 {
1384   Mat_MUMPS      *mumps = (Mat_MUMPS*)F->data;
1385   PetscErrorCode ierr;
1386   Vec            b;
1387   IS             is_iden;
1388   const PetscInt M = A->rmap->N;
1389 
1390   PetscFunctionBegin;
1391   mumps->matstruc = DIFFERENT_NONZERO_PATTERN;
1392 
1393   /* Set MUMPS options from the options database */
1394   ierr = PetscSetMUMPSFromOptions(F,A);CHKERRQ(ierr);
1395 
1396   ierr = (*mumps->ConvertToTriples)(A, 1, MAT_INITIAL_MATRIX, &mumps->nz, &mumps->irn, &mumps->jcn, &mumps->val);CHKERRQ(ierr);
1397 
1398   /* analysis phase */
1399   /*----------------*/
1400   mumps->id.job = JOB_FACTSYMBOLIC;
1401   mumps->id.n   = M;
1402   switch (mumps->id.ICNTL(18)) {
1403   case 0:  /* centralized assembled matrix input */
1404     if (!mumps->myid) {
1405       mumps->id.nz =mumps->nz; mumps->id.irn=mumps->irn; mumps->id.jcn=mumps->jcn;
1406       if (mumps->id.ICNTL(6)>1) {
1407         mumps->id.a = (MumpsScalar*)mumps->val;
1408       }
1409       if (mumps->id.ICNTL(7) == 1) { /* use user-provide matrix ordering - assuming r = c ordering */
1410         /*
1411         PetscBool      flag;
1412         ierr = ISEqual(r,c,&flag);CHKERRQ(ierr);
1413         if (!flag) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_USER,"row_perm != col_perm");
1414         ierr = ISView(r,PETSC_VIEWER_STDOUT_SELF);
1415          */
1416         if (!mumps->myid) {
1417           const PetscInt *idx;
1418           PetscInt       i,*perm_in;
1419 
1420           ierr = PetscMalloc1(M,&perm_in);CHKERRQ(ierr);
1421           ierr = ISGetIndices(r,&idx);CHKERRQ(ierr);
1422 
1423           mumps->id.perm_in = perm_in;
1424           for (i=0; i<M; i++) perm_in[i] = idx[i]+1; /* perm_in[]: start from 1, not 0! */
1425           ierr = ISRestoreIndices(r,&idx);CHKERRQ(ierr);
1426         }
1427       }
1428     }
1429     break;
1430   case 3:  /* distributed assembled matrix input (size>1) */
1431     mumps->id.nz_loc = mumps->nz;
1432     mumps->id.irn_loc=mumps->irn; mumps->id.jcn_loc=mumps->jcn;
1433     if (mumps->id.ICNTL(6)>1) {
1434       mumps->id.a_loc = (MumpsScalar*)mumps->val;
1435     }
1436     /* MUMPS only supports centralized rhs. Create scatter scat_rhs for repeated use in MatSolve() */
1437     if (!mumps->myid) {
1438       ierr = VecCreateSeq(PETSC_COMM_SELF,A->rmap->N,&mumps->b_seq);CHKERRQ(ierr);
1439       ierr = ISCreateStride(PETSC_COMM_SELF,A->rmap->N,0,1,&is_iden);CHKERRQ(ierr);
1440     } else {
1441       ierr = VecCreateSeq(PETSC_COMM_SELF,0,&mumps->b_seq);CHKERRQ(ierr);
1442       ierr = ISCreateStride(PETSC_COMM_SELF,0,0,1,&is_iden);CHKERRQ(ierr);
1443     }
1444     ierr = MatCreateVecs(A,NULL,&b);CHKERRQ(ierr);
1445     ierr = VecScatterCreate(b,is_iden,mumps->b_seq,is_iden,&mumps->scat_rhs);CHKERRQ(ierr);
1446     ierr = ISDestroy(&is_iden);CHKERRQ(ierr);
1447     ierr = VecDestroy(&b);CHKERRQ(ierr);
1448     break;
1449   }
1450   PetscMUMPS_c(&mumps->id);
1451   ierr = MatFactorSymbolic_MUMPS_ReportIfError(F,A,info,mumps);CHKERRQ(ierr);
1452 
1453   F->ops->lufactornumeric = MatFactorNumeric_MUMPS;
1454   F->ops->solve           = MatSolve_MUMPS;
1455   F->ops->solvetranspose  = MatSolveTranspose_MUMPS;
1456   F->ops->matsolve        = MatMatSolve_MUMPS;
1457   PetscFunctionReturn(0);
1458 }
1459 
1460 /* Note the Petsc r and c permutations are ignored */
1461 #undef __FUNCT__
1462 #define __FUNCT__ "MatLUFactorSymbolic_BAIJMUMPS"
1463 PetscErrorCode MatLUFactorSymbolic_BAIJMUMPS(Mat F,Mat A,IS r,IS c,const MatFactorInfo *info)
1464 {
1465   Mat_MUMPS      *mumps = (Mat_MUMPS*)F->data;
1466   PetscErrorCode ierr;
1467   Vec            b;
1468   IS             is_iden;
1469   const PetscInt M = A->rmap->N;
1470 
1471   PetscFunctionBegin;
1472   mumps->matstruc = DIFFERENT_NONZERO_PATTERN;
1473 
1474   /* Set MUMPS options from the options database */
1475   ierr = PetscSetMUMPSFromOptions(F,A);CHKERRQ(ierr);
1476 
1477   ierr = (*mumps->ConvertToTriples)(A, 1, MAT_INITIAL_MATRIX, &mumps->nz, &mumps->irn, &mumps->jcn, &mumps->val);CHKERRQ(ierr);
1478 
1479   /* analysis phase */
1480   /*----------------*/
1481   mumps->id.job = JOB_FACTSYMBOLIC;
1482   mumps->id.n   = M;
1483   switch (mumps->id.ICNTL(18)) {
1484   case 0:  /* centralized assembled matrix input */
1485     if (!mumps->myid) {
1486       mumps->id.nz =mumps->nz; mumps->id.irn=mumps->irn; mumps->id.jcn=mumps->jcn;
1487       if (mumps->id.ICNTL(6)>1) {
1488         mumps->id.a = (MumpsScalar*)mumps->val;
1489       }
1490     }
1491     break;
1492   case 3:  /* distributed assembled matrix input (size>1) */
1493     mumps->id.nz_loc = mumps->nz;
1494     mumps->id.irn_loc=mumps->irn; mumps->id.jcn_loc=mumps->jcn;
1495     if (mumps->id.ICNTL(6)>1) {
1496       mumps->id.a_loc = (MumpsScalar*)mumps->val;
1497     }
1498     /* MUMPS only supports centralized rhs. Create scatter scat_rhs for repeated use in MatSolve() */
1499     if (!mumps->myid) {
1500       ierr = VecCreateSeq(PETSC_COMM_SELF,A->cmap->N,&mumps->b_seq);CHKERRQ(ierr);
1501       ierr = ISCreateStride(PETSC_COMM_SELF,A->cmap->N,0,1,&is_iden);CHKERRQ(ierr);
1502     } else {
1503       ierr = VecCreateSeq(PETSC_COMM_SELF,0,&mumps->b_seq);CHKERRQ(ierr);
1504       ierr = ISCreateStride(PETSC_COMM_SELF,0,0,1,&is_iden);CHKERRQ(ierr);
1505     }
1506     ierr = MatCreateVecs(A,NULL,&b);CHKERRQ(ierr);
1507     ierr = VecScatterCreate(b,is_iden,mumps->b_seq,is_iden,&mumps->scat_rhs);CHKERRQ(ierr);
1508     ierr = ISDestroy(&is_iden);CHKERRQ(ierr);
1509     ierr = VecDestroy(&b);CHKERRQ(ierr);
1510     break;
1511   }
1512   PetscMUMPS_c(&mumps->id);
1513   ierr = MatFactorSymbolic_MUMPS_ReportIfError(F,A,info,mumps);CHKERRQ(ierr);
1514 
1515   F->ops->lufactornumeric = MatFactorNumeric_MUMPS;
1516   F->ops->solve           = MatSolve_MUMPS;
1517   F->ops->solvetranspose  = MatSolveTranspose_MUMPS;
1518   PetscFunctionReturn(0);
1519 }
1520 
1521 /* Note the Petsc r permutation and factor info are ignored */
1522 #undef __FUNCT__
1523 #define __FUNCT__ "MatCholeskyFactorSymbolic_MUMPS"
1524 PetscErrorCode MatCholeskyFactorSymbolic_MUMPS(Mat F,Mat A,IS r,const MatFactorInfo *info)
1525 {
1526   Mat_MUMPS      *mumps = (Mat_MUMPS*)F->data;
1527   PetscErrorCode ierr;
1528   Vec            b;
1529   IS             is_iden;
1530   const PetscInt M = A->rmap->N;
1531 
1532   PetscFunctionBegin;
1533   mumps->matstruc = DIFFERENT_NONZERO_PATTERN;
1534 
1535   /* Set MUMPS options from the options database */
1536   ierr = PetscSetMUMPSFromOptions(F,A);CHKERRQ(ierr);
1537 
1538   ierr = (*mumps->ConvertToTriples)(A, 1, MAT_INITIAL_MATRIX, &mumps->nz, &mumps->irn, &mumps->jcn, &mumps->val);CHKERRQ(ierr);
1539 
1540   /* analysis phase */
1541   /*----------------*/
1542   mumps->id.job = JOB_FACTSYMBOLIC;
1543   mumps->id.n   = M;
1544   switch (mumps->id.ICNTL(18)) {
1545   case 0:  /* centralized assembled matrix input */
1546     if (!mumps->myid) {
1547       mumps->id.nz =mumps->nz; mumps->id.irn=mumps->irn; mumps->id.jcn=mumps->jcn;
1548       if (mumps->id.ICNTL(6)>1) {
1549         mumps->id.a = (MumpsScalar*)mumps->val;
1550       }
1551     }
1552     break;
1553   case 3:  /* distributed assembled matrix input (size>1) */
1554     mumps->id.nz_loc = mumps->nz;
1555     mumps->id.irn_loc=mumps->irn; mumps->id.jcn_loc=mumps->jcn;
1556     if (mumps->id.ICNTL(6)>1) {
1557       mumps->id.a_loc = (MumpsScalar*)mumps->val;
1558     }
1559     /* MUMPS only supports centralized rhs. Create scatter scat_rhs for repeated use in MatSolve() */
1560     if (!mumps->myid) {
1561       ierr = VecCreateSeq(PETSC_COMM_SELF,A->cmap->N,&mumps->b_seq);CHKERRQ(ierr);
1562       ierr = ISCreateStride(PETSC_COMM_SELF,A->cmap->N,0,1,&is_iden);CHKERRQ(ierr);
1563     } else {
1564       ierr = VecCreateSeq(PETSC_COMM_SELF,0,&mumps->b_seq);CHKERRQ(ierr);
1565       ierr = ISCreateStride(PETSC_COMM_SELF,0,0,1,&is_iden);CHKERRQ(ierr);
1566     }
1567     ierr = MatCreateVecs(A,NULL,&b);CHKERRQ(ierr);
1568     ierr = VecScatterCreate(b,is_iden,mumps->b_seq,is_iden,&mumps->scat_rhs);CHKERRQ(ierr);
1569     ierr = ISDestroy(&is_iden);CHKERRQ(ierr);
1570     ierr = VecDestroy(&b);CHKERRQ(ierr);
1571     break;
1572   }
1573   PetscMUMPS_c(&mumps->id);
1574   ierr = MatFactorSymbolic_MUMPS_ReportIfError(F,A,info,mumps);CHKERRQ(ierr);
1575 
1576   F->ops->choleskyfactornumeric = MatFactorNumeric_MUMPS;
1577   F->ops->solve                 = MatSolve_MUMPS;
1578   F->ops->solvetranspose        = MatSolve_MUMPS;
1579   F->ops->matsolve              = MatMatSolve_MUMPS;
1580 #if defined(PETSC_USE_COMPLEX)
1581   F->ops->getinertia = NULL;
1582 #else
1583   F->ops->getinertia = MatGetInertia_SBAIJMUMPS;
1584 #endif
1585   PetscFunctionReturn(0);
1586 }
1587 
1588 #undef __FUNCT__
1589 #define __FUNCT__ "MatView_MUMPS"
1590 PetscErrorCode MatView_MUMPS(Mat A,PetscViewer viewer)
1591 {
1592   PetscErrorCode    ierr;
1593   PetscBool         iascii;
1594   PetscViewerFormat format;
1595   Mat_MUMPS         *mumps=(Mat_MUMPS*)A->data;
1596 
1597   PetscFunctionBegin;
1598   /* check if matrix is mumps type */
1599   if (A->ops->solve != MatSolve_MUMPS) PetscFunctionReturn(0);
1600 
1601   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&iascii);CHKERRQ(ierr);
1602   if (iascii) {
1603     ierr = PetscViewerGetFormat(viewer,&format);CHKERRQ(ierr);
1604     if (format == PETSC_VIEWER_ASCII_INFO) {
1605       ierr = PetscViewerASCIIPrintf(viewer,"MUMPS run parameters:\n");CHKERRQ(ierr);
1606       ierr = PetscViewerASCIIPrintf(viewer,"  SYM (matrix type):                   %d \n",mumps->id.sym);CHKERRQ(ierr);
1607       ierr = PetscViewerASCIIPrintf(viewer,"  PAR (host participation):            %d \n",mumps->id.par);CHKERRQ(ierr);
1608       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(1) (output for error):         %d \n",mumps->id.ICNTL(1));CHKERRQ(ierr);
1609       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(2) (output of diagnostic msg): %d \n",mumps->id.ICNTL(2));CHKERRQ(ierr);
1610       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(3) (output for global info):   %d \n",mumps->id.ICNTL(3));CHKERRQ(ierr);
1611       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(4) (level of printing):        %d \n",mumps->id.ICNTL(4));CHKERRQ(ierr);
1612       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(5) (input mat struct):         %d \n",mumps->id.ICNTL(5));CHKERRQ(ierr);
1613       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(6) (matrix prescaling):        %d \n",mumps->id.ICNTL(6));CHKERRQ(ierr);
1614       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(7) (sequentia matrix ordering):%d \n",mumps->id.ICNTL(7));CHKERRQ(ierr);
1615       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(8) (scalling strategy):        %d \n",mumps->id.ICNTL(8));CHKERRQ(ierr);
1616       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(10) (max num of refinements):  %d \n",mumps->id.ICNTL(10));CHKERRQ(ierr);
1617       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(11) (error analysis):          %d \n",mumps->id.ICNTL(11));CHKERRQ(ierr);
1618       if (mumps->id.ICNTL(11)>0) {
1619         ierr = PetscViewerASCIIPrintf(viewer,"    RINFOG(4) (inf norm of input mat):        %g\n",mumps->id.RINFOG(4));CHKERRQ(ierr);
1620         ierr = PetscViewerASCIIPrintf(viewer,"    RINFOG(5) (inf norm of solution):         %g\n",mumps->id.RINFOG(5));CHKERRQ(ierr);
1621         ierr = PetscViewerASCIIPrintf(viewer,"    RINFOG(6) (inf norm of residual):         %g\n",mumps->id.RINFOG(6));CHKERRQ(ierr);
1622         ierr = PetscViewerASCIIPrintf(viewer,"    RINFOG(7),RINFOG(8) (backward error est): %g, %g\n",mumps->id.RINFOG(7),mumps->id.RINFOG(8));CHKERRQ(ierr);
1623         ierr = PetscViewerASCIIPrintf(viewer,"    RINFOG(9) (error estimate):               %g \n",mumps->id.RINFOG(9));CHKERRQ(ierr);
1624         ierr = PetscViewerASCIIPrintf(viewer,"    RINFOG(10),RINFOG(11)(condition numbers): %g, %g\n",mumps->id.RINFOG(10),mumps->id.RINFOG(11));CHKERRQ(ierr);
1625       }
1626       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(12) (efficiency control):                         %d \n",mumps->id.ICNTL(12));CHKERRQ(ierr);
1627       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(13) (efficiency control):                         %d \n",mumps->id.ICNTL(13));CHKERRQ(ierr);
1628       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(14) (percentage of estimated workspace increase): %d \n",mumps->id.ICNTL(14));CHKERRQ(ierr);
1629       /* ICNTL(15-17) not used */
1630       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(18) (input mat struct):                           %d \n",mumps->id.ICNTL(18));CHKERRQ(ierr);
1631       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(19) (Shur complement info):                       %d \n",mumps->id.ICNTL(19));CHKERRQ(ierr);
1632       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(20) (rhs sparse pattern):                         %d \n",mumps->id.ICNTL(20));CHKERRQ(ierr);
1633       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(21) (solution struct):                            %d \n",mumps->id.ICNTL(21));CHKERRQ(ierr);
1634       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(22) (in-core/out-of-core facility):               %d \n",mumps->id.ICNTL(22));CHKERRQ(ierr);
1635       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(23) (max size of memory can be allocated locally):%d \n",mumps->id.ICNTL(23));CHKERRQ(ierr);
1636 
1637       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(24) (detection of null pivot rows):               %d \n",mumps->id.ICNTL(24));CHKERRQ(ierr);
1638       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(25) (computation of a null space basis):          %d \n",mumps->id.ICNTL(25));CHKERRQ(ierr);
1639       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(26) (Schur options for rhs or solution):          %d \n",mumps->id.ICNTL(26));CHKERRQ(ierr);
1640       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(27) (experimental parameter):                     %d \n",mumps->id.ICNTL(27));CHKERRQ(ierr);
1641       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(28) (use parallel or sequential ordering):        %d \n",mumps->id.ICNTL(28));CHKERRQ(ierr);
1642       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(29) (parallel ordering):                          %d \n",mumps->id.ICNTL(29));CHKERRQ(ierr);
1643 
1644       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(30) (user-specified set of entries in inv(A)):    %d \n",mumps->id.ICNTL(30));CHKERRQ(ierr);
1645       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(31) (factors is discarded in the solve phase):    %d \n",mumps->id.ICNTL(31));CHKERRQ(ierr);
1646       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(33) (compute determinant):                        %d \n",mumps->id.ICNTL(33));CHKERRQ(ierr);
1647 
1648       ierr = PetscViewerASCIIPrintf(viewer,"  CNTL(1) (relative pivoting threshold):      %g \n",mumps->id.CNTL(1));CHKERRQ(ierr);
1649       ierr = PetscViewerASCIIPrintf(viewer,"  CNTL(2) (stopping criterion of refinement): %g \n",mumps->id.CNTL(2));CHKERRQ(ierr);
1650       ierr = PetscViewerASCIIPrintf(viewer,"  CNTL(3) (absolute pivoting threshold):      %g \n",mumps->id.CNTL(3));CHKERRQ(ierr);
1651       ierr = PetscViewerASCIIPrintf(viewer,"  CNTL(4) (value of static pivoting):         %g \n",mumps->id.CNTL(4));CHKERRQ(ierr);
1652       ierr = PetscViewerASCIIPrintf(viewer,"  CNTL(5) (fixation for null pivots):         %g \n",mumps->id.CNTL(5));CHKERRQ(ierr);
1653 
1654       /* infomation local to each processor */
1655       ierr = PetscViewerASCIIPrintf(viewer, "  RINFO(1) (local estimated flops for the elimination after analysis): \n");CHKERRQ(ierr);
1656       ierr = PetscViewerASCIIPushSynchronized(viewer);CHKERRQ(ierr);
1657       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"    [%d] %g \n",mumps->myid,mumps->id.RINFO(1));CHKERRQ(ierr);
1658       ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
1659       ierr = PetscViewerASCIIPrintf(viewer, "  RINFO(2) (local estimated flops for the assembly after factorization): \n");CHKERRQ(ierr);
1660       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"    [%d]  %g \n",mumps->myid,mumps->id.RINFO(2));CHKERRQ(ierr);
1661       ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
1662       ierr = PetscViewerASCIIPrintf(viewer, "  RINFO(3) (local estimated flops for the elimination after factorization): \n");CHKERRQ(ierr);
1663       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"    [%d]  %g \n",mumps->myid,mumps->id.RINFO(3));CHKERRQ(ierr);
1664       ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
1665 
1666       ierr = PetscViewerASCIIPrintf(viewer, "  INFO(15) (estimated size of (in MB) MUMPS internal data for running numerical factorization): \n");CHKERRQ(ierr);
1667       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"  [%d] %d \n",mumps->myid,mumps->id.INFO(15));CHKERRQ(ierr);
1668       ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
1669 
1670       ierr = PetscViewerASCIIPrintf(viewer, "  INFO(16) (size of (in MB) MUMPS internal data used during numerical factorization): \n");CHKERRQ(ierr);
1671       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"    [%d] %d \n",mumps->myid,mumps->id.INFO(16));CHKERRQ(ierr);
1672       ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
1673 
1674       ierr = PetscViewerASCIIPrintf(viewer, "  INFO(23) (num of pivots eliminated on this processor after factorization): \n");CHKERRQ(ierr);
1675       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"    [%d] %d \n",mumps->myid,mumps->id.INFO(23));CHKERRQ(ierr);
1676       ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
1677 
1678       if (mumps->ninfo && mumps->ninfo <= 40){
1679         PetscInt i;
1680         for (i=0; i<mumps->ninfo; i++){
1681           ierr = PetscViewerASCIIPrintf(viewer, "  INFO(%d): \n",mumps->info[i]);CHKERRQ(ierr);
1682           ierr = PetscViewerASCIISynchronizedPrintf(viewer,"    [%d] %d \n",mumps->myid,mumps->id.INFO(mumps->info[i]));CHKERRQ(ierr);
1683           ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
1684         }
1685       }
1686 
1687 
1688       ierr = PetscViewerASCIIPopSynchronized(viewer);CHKERRQ(ierr);
1689 
1690       if (!mumps->myid) { /* information from the host */
1691         ierr = PetscViewerASCIIPrintf(viewer,"  RINFOG(1) (global estimated flops for the elimination after analysis): %g \n",mumps->id.RINFOG(1));CHKERRQ(ierr);
1692         ierr = PetscViewerASCIIPrintf(viewer,"  RINFOG(2) (global estimated flops for the assembly after factorization): %g \n",mumps->id.RINFOG(2));CHKERRQ(ierr);
1693         ierr = PetscViewerASCIIPrintf(viewer,"  RINFOG(3) (global estimated flops for the elimination after factorization): %g \n",mumps->id.RINFOG(3));CHKERRQ(ierr);
1694         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);
1695 
1696         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(3) (estimated real workspace for factors on all processors after analysis): %d \n",mumps->id.INFOG(3));CHKERRQ(ierr);
1697         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(4) (estimated integer workspace for factors on all processors after analysis): %d \n",mumps->id.INFOG(4));CHKERRQ(ierr);
1698         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(5) (estimated maximum front size in the complete tree): %d \n",mumps->id.INFOG(5));CHKERRQ(ierr);
1699         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(6) (number of nodes in the complete tree): %d \n",mumps->id.INFOG(6));CHKERRQ(ierr);
1700         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(7) (ordering option effectively use after analysis): %d \n",mumps->id.INFOG(7));CHKERRQ(ierr);
1701         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(8) (structural symmetry in percent of the permuted matrix after analysis): %d \n",mumps->id.INFOG(8));CHKERRQ(ierr);
1702         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(9) (total real/complex workspace to store the matrix factors after factorization): %d \n",mumps->id.INFOG(9));CHKERRQ(ierr);
1703         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(10) (total integer space store the matrix factors after factorization): %d \n",mumps->id.INFOG(10));CHKERRQ(ierr);
1704         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(11) (order of largest frontal matrix after factorization): %d \n",mumps->id.INFOG(11));CHKERRQ(ierr);
1705         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(12) (number of off-diagonal pivots): %d \n",mumps->id.INFOG(12));CHKERRQ(ierr);
1706         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(13) (number of delayed pivots after factorization): %d \n",mumps->id.INFOG(13));CHKERRQ(ierr);
1707         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(14) (number of memory compress after factorization): %d \n",mumps->id.INFOG(14));CHKERRQ(ierr);
1708         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(15) (number of steps of iterative refinement after solution): %d \n",mumps->id.INFOG(15));CHKERRQ(ierr);
1709         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);
1710         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);
1711         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);
1712         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);
1713         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(20) (estimated number of entries in the factors): %d \n",mumps->id.INFOG(20));CHKERRQ(ierr);
1714         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);
1715         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);
1716         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(23) (after analysis: value of ICNTL(6) effectively used): %d \n",mumps->id.INFOG(23));CHKERRQ(ierr);
1717         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(24) (after analysis: value of ICNTL(12) effectively used): %d \n",mumps->id.INFOG(24));CHKERRQ(ierr);
1718         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(25) (after factorization: number of pivots modified by static pivoting): %d \n",mumps->id.INFOG(25));CHKERRQ(ierr);
1719         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(28) (after factorization: number of null pivots encountered): %d\n",mumps->id.INFOG(28));CHKERRQ(ierr);
1720         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);
1721         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);
1722         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(32) (after analysis: type of analysis done): %d\n",mumps->id.INFOG(32));CHKERRQ(ierr);
1723         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(33) (value used for ICNTL(8)): %d\n",mumps->id.INFOG(33));CHKERRQ(ierr);
1724         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(34) (exponent of the determinant if determinant is requested): %d\n",mumps->id.INFOG(34));CHKERRQ(ierr);
1725       }
1726     }
1727   }
1728   PetscFunctionReturn(0);
1729 }
1730 
1731 #undef __FUNCT__
1732 #define __FUNCT__ "MatGetInfo_MUMPS"
1733 PetscErrorCode MatGetInfo_MUMPS(Mat A,MatInfoType flag,MatInfo *info)
1734 {
1735   Mat_MUMPS *mumps =(Mat_MUMPS*)A->data;
1736 
1737   PetscFunctionBegin;
1738   info->block_size        = 1.0;
1739   info->nz_allocated      = mumps->id.INFOG(20);
1740   info->nz_used           = mumps->id.INFOG(20);
1741   info->nz_unneeded       = 0.0;
1742   info->assemblies        = 0.0;
1743   info->mallocs           = 0.0;
1744   info->memory            = 0.0;
1745   info->fill_ratio_given  = 0;
1746   info->fill_ratio_needed = 0;
1747   info->factor_mallocs    = 0;
1748   PetscFunctionReturn(0);
1749 }
1750 
1751 /* -------------------------------------------------------------------------------------------*/
1752 #undef __FUNCT__
1753 #define __FUNCT__ "MatFactorSetSchurIS_MUMPS"
1754 PetscErrorCode MatFactorSetSchurIS_MUMPS(Mat F, IS is)
1755 {
1756   Mat_MUMPS      *mumps =(Mat_MUMPS*)F->data;
1757   const PetscInt *idxs;
1758   PetscInt       size,i;
1759   PetscErrorCode ierr;
1760 
1761   PetscFunctionBegin;
1762   if (mumps->size > 1) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"MUMPS parallel Schur complements not yet supported from PETSc\n");
1763   ierr = ISGetLocalSize(is,&size);CHKERRQ(ierr);
1764   if (mumps->id.size_schur != size) {
1765     ierr = PetscFree2(mumps->id.listvar_schur,mumps->id.schur);CHKERRQ(ierr);
1766     mumps->id.size_schur = size;
1767     mumps->id.schur_lld = size;
1768     ierr = PetscMalloc2(size,&mumps->id.listvar_schur,size*size,&mumps->id.schur);CHKERRQ(ierr);
1769   }
1770   ierr = ISGetIndices(is,&idxs);CHKERRQ(ierr);
1771   ierr = PetscMemcpy(mumps->id.listvar_schur,idxs,size*sizeof(PetscInt));CHKERRQ(ierr);
1772   /* MUMPS expects Fortran style indices */
1773   for (i=0;i<size;i++) mumps->id.listvar_schur[i]++;
1774   ierr = ISRestoreIndices(is,&idxs);CHKERRQ(ierr);
1775   if (size) { /* turn on Schur switch if we the set of indices is not empty */
1776     if (F->factortype == MAT_FACTOR_LU) {
1777       mumps->id.ICNTL(19) = 3; /* MUMPS returns full matrix */
1778     } else {
1779       mumps->id.ICNTL(19) = 2; /* MUMPS returns lower triangular part */
1780     }
1781     /* set a special value of ICNTL (not handled my MUMPS) to be used in the solve phase by PETSc */
1782     mumps->id.ICNTL(26) = -1;
1783   }
1784   PetscFunctionReturn(0);
1785 }
1786 
1787 /* -------------------------------------------------------------------------------------------*/
1788 #undef __FUNCT__
1789 #define __FUNCT__ "MatFactorCreateSchurComplement_MUMPS"
1790 PetscErrorCode MatFactorCreateSchurComplement_MUMPS(Mat F,Mat* S)
1791 {
1792   Mat            St;
1793   Mat_MUMPS      *mumps =(Mat_MUMPS*)F->data;
1794   PetscScalar    *array;
1795 #if defined(PETSC_USE_COMPLEX)
1796   PetscScalar    im = PetscSqrtScalar((PetscScalar)-1.0);
1797 #endif
1798   PetscErrorCode ierr;
1799 
1800   PetscFunctionBegin;
1801   if (!mumps->id.ICNTL(19)) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur complement mode not selected! You should call MatFactorSetSchurIS to enable it");
1802   else if (!mumps->id.size_schur) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur indices not set! You should call MatFactorSetSchurIS before");
1803 
1804   ierr = MatCreate(PetscObjectComm((PetscObject)F),&St);CHKERRQ(ierr);
1805   ierr = MatSetSizes(St,PETSC_DECIDE,PETSC_DECIDE,mumps->id.size_schur,mumps->id.size_schur);CHKERRQ(ierr);
1806   ierr = MatSetType(St,MATDENSE);CHKERRQ(ierr);
1807   ierr = MatSetUp(St);CHKERRQ(ierr);
1808   ierr = MatDenseGetArray(St,&array);CHKERRQ(ierr);
1809   if (!mumps->sym) { /* MUMPS always return a full matrix */
1810     if (mumps->id.ICNTL(19) == 1) { /* stored by rows */
1811       PetscInt i,j,N=mumps->id.size_schur;
1812       for (i=0;i<N;i++) {
1813         for (j=0;j<N;j++) {
1814 #if !defined(PETSC_USE_COMPLEX)
1815           PetscScalar val = mumps->id.schur[i*N+j];
1816 #else
1817           PetscScalar val = mumps->id.schur[i*N+j].r + im*mumps->id.schur[i*N+j].i;
1818 #endif
1819           array[j*N+i] = val;
1820         }
1821       }
1822     } else { /* stored by columns */
1823       ierr = PetscMemcpy(array,mumps->id.schur,mumps->id.size_schur*mumps->id.size_schur*sizeof(PetscScalar));CHKERRQ(ierr);
1824     }
1825   } else { /* either full or lower-triangular (not packed) */
1826     if (mumps->id.ICNTL(19) == 2) { /* lower triangular stored by columns */
1827       PetscInt i,j,N=mumps->id.size_schur;
1828       for (i=0;i<N;i++) {
1829         for (j=i;j<N;j++) {
1830 #if !defined(PETSC_USE_COMPLEX)
1831           PetscScalar val = mumps->id.schur[i*N+j];
1832 #else
1833           PetscScalar val = mumps->id.schur[i*N+j].r + im*mumps->id.schur[i*N+j].i;
1834 #endif
1835           array[i*N+j] = val;
1836           array[j*N+i] = val;
1837         }
1838       }
1839     } else if (mumps->id.ICNTL(19) == 3) { /* full matrix */
1840       ierr = PetscMemcpy(array,mumps->id.schur,mumps->id.size_schur*mumps->id.size_schur*sizeof(PetscScalar));CHKERRQ(ierr);
1841     } else { /* ICNTL(19) == 1 lower triangular stored by rows */
1842       PetscInt i,j,N=mumps->id.size_schur;
1843       for (i=0;i<N;i++) {
1844         for (j=0;j<i+1;j++) {
1845 #if !defined(PETSC_USE_COMPLEX)
1846           PetscScalar val = mumps->id.schur[i*N+j];
1847 #else
1848           PetscScalar val = mumps->id.schur[i*N+j].r + im*mumps->id.schur[i*N+j].i;
1849 #endif
1850           array[i*N+j] = val;
1851           array[j*N+i] = val;
1852         }
1853       }
1854     }
1855   }
1856   ierr = MatDenseRestoreArray(St,&array);CHKERRQ(ierr);
1857   *S = St;
1858   PetscFunctionReturn(0);
1859 }
1860 
1861 /* -------------------------------------------------------------------------------------------*/
1862 #undef __FUNCT__
1863 #define __FUNCT__ "MatFactorGetSchurComplement_MUMPS"
1864 PetscErrorCode MatFactorGetSchurComplement_MUMPS(Mat F,Mat* S)
1865 {
1866   Mat            St;
1867   Mat_MUMPS      *mumps =(Mat_MUMPS*)F->data;
1868   PetscErrorCode ierr;
1869 
1870   PetscFunctionBegin;
1871   if (!mumps->id.ICNTL(19)) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur complement mode not selected! You should call MatFactorSetSchurIS to enable it");
1872   else if (!mumps->id.size_schur) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur indices not set! You should call MatFactorSetSchurIS before");
1873 
1874   /* 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 */
1875   ierr = MatCreateSeqDense(PetscObjectComm((PetscObject)F),mumps->id.size_schur,mumps->id.size_schur,(PetscScalar*)mumps->id.schur,&St);CHKERRQ(ierr);
1876   *S = St;
1877   PetscFunctionReturn(0);
1878 }
1879 
1880 /* -------------------------------------------------------------------------------------------*/
1881 #undef __FUNCT__
1882 #define __FUNCT__ "MatFactorFactorizeSchurComplement_MUMPS"
1883 PetscErrorCode MatFactorFactorizeSchurComplement_MUMPS(Mat F)
1884 {
1885   Mat_MUMPS      *mumps =(Mat_MUMPS*)F->data;
1886   PetscErrorCode ierr;
1887 
1888   PetscFunctionBegin;
1889   if (!mumps->id.ICNTL(19)) { /* do nothing */
1890     PetscFunctionReturn(0);
1891   }
1892   if (!mumps->id.size_schur) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur indices not set! You should call MatMumpsSetSchurIndices before");
1893   ierr = MatMumpsFactorSchur_Private(mumps);CHKERRQ(ierr);
1894   PetscFunctionReturn(0);
1895 }
1896 
1897 #undef __FUNCT__
1898 #define __FUNCT__ "MatFactorInvertSchurComplement_MUMPS"
1899 PetscErrorCode MatFactorInvertSchurComplement_MUMPS(Mat F)
1900 {
1901   Mat_MUMPS      *mumps =(Mat_MUMPS*)F->data;
1902   PetscErrorCode ierr;
1903 
1904   PetscFunctionBegin;
1905   if (!mumps->id.ICNTL(19)) { /* do nothing */
1906     PetscFunctionReturn(0);
1907   }
1908   if (!mumps->id.size_schur) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur indices not set! You should call MatFactorSetSchurIS before");
1909   ierr = MatMumpsInvertSchur_Private(mumps);CHKERRQ(ierr);
1910   PetscFunctionReturn(0);
1911 }
1912 
1913 /* -------------------------------------------------------------------------------------------*/
1914 #undef __FUNCT__
1915 #define __FUNCT__ "MatFactorSolveSchurComplement_MUMPS"
1916 PetscErrorCode MatFactorSolveSchurComplement_MUMPS(Mat F, Vec rhs, Vec sol)
1917 {
1918   Mat_MUMPS      *mumps =(Mat_MUMPS*)F->data;
1919   MumpsScalar    *orhs;
1920   PetscScalar    *osol,*nrhs,*nsol;
1921   PetscInt       orhs_size,osol_size,olrhs_size;
1922   PetscErrorCode ierr;
1923 
1924   PetscFunctionBegin;
1925   if (!mumps->id.ICNTL(19)) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur complement mode not selected! You should call MatFactorSetSchurIS to enable it");
1926   if (!mumps->id.size_schur) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur indices not set! You should call MatFactorSetSchurIS before");
1927 
1928   /* swap pointers */
1929   orhs = mumps->id.redrhs;
1930   olrhs_size = mumps->id.lredrhs;
1931   orhs_size = mumps->sizeredrhs;
1932   osol = mumps->schur_sol;
1933   osol_size = mumps->schur_sizesol;
1934   ierr = VecGetArray(rhs,&nrhs);CHKERRQ(ierr);
1935   ierr = VecGetArray(sol,&nsol);CHKERRQ(ierr);
1936   mumps->id.redrhs = (MumpsScalar*)nrhs;
1937   ierr = VecGetLocalSize(rhs,&mumps->sizeredrhs);CHKERRQ(ierr);
1938   mumps->id.lredrhs = mumps->sizeredrhs;
1939   mumps->schur_sol = nsol;
1940   ierr = VecGetLocalSize(sol,&mumps->schur_sizesol);CHKERRQ(ierr);
1941 
1942   /* solve Schur complement */
1943   mumps->id.nrhs = 1;
1944   ierr = MatMumpsSolveSchur_Private(mumps,PETSC_FALSE);CHKERRQ(ierr);
1945   /* restore pointers */
1946   ierr = VecRestoreArray(rhs,&nrhs);CHKERRQ(ierr);
1947   ierr = VecRestoreArray(sol,&nsol);CHKERRQ(ierr);
1948   mumps->id.redrhs = orhs;
1949   mumps->id.lredrhs = olrhs_size;
1950   mumps->sizeredrhs = orhs_size;
1951   mumps->schur_sol = osol;
1952   mumps->schur_sizesol = osol_size;
1953   PetscFunctionReturn(0);
1954 }
1955 
1956 /* -------------------------------------------------------------------------------------------*/
1957 #undef __FUNCT__
1958 #define __FUNCT__ "MatFactorSolveSchurComplementTranspose_MUMPS"
1959 PetscErrorCode MatFactorSolveSchurComplementTranspose_MUMPS(Mat F, Vec rhs, Vec sol)
1960 {
1961   Mat_MUMPS      *mumps =(Mat_MUMPS*)F->data;
1962   MumpsScalar    *orhs;
1963   PetscScalar    *osol,*nrhs,*nsol;
1964   PetscInt       orhs_size,osol_size;
1965   PetscErrorCode ierr;
1966 
1967   PetscFunctionBegin;
1968   if (!mumps->id.ICNTL(19)) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur complement mode not selected! You should call MatFactorSetSchurIS to enable it");
1969   else if (!mumps->id.size_schur) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur indices not set! You should call MatFactorSetSchurIS before");
1970 
1971   /* swap pointers */
1972   orhs = mumps->id.redrhs;
1973   orhs_size = mumps->sizeredrhs;
1974   osol = mumps->schur_sol;
1975   osol_size = mumps->schur_sizesol;
1976   ierr = VecGetArray(rhs,&nrhs);CHKERRQ(ierr);
1977   ierr = VecGetArray(sol,&nsol);CHKERRQ(ierr);
1978   mumps->id.redrhs = (MumpsScalar*)nrhs;
1979   ierr = VecGetLocalSize(rhs,&mumps->sizeredrhs);CHKERRQ(ierr);
1980   mumps->schur_sol = nsol;
1981   ierr = VecGetLocalSize(sol,&mumps->schur_sizesol);CHKERRQ(ierr);
1982 
1983   /* solve Schur complement */
1984   mumps->id.nrhs = 1;
1985   mumps->id.ICNTL(9) = 0;
1986   ierr = MatMumpsSolveSchur_Private(mumps,PETSC_FALSE);CHKERRQ(ierr);
1987   mumps->id.ICNTL(9) = 1;
1988   /* restore pointers */
1989   ierr = VecRestoreArray(rhs,&nrhs);CHKERRQ(ierr);
1990   ierr = VecRestoreArray(sol,&nsol);CHKERRQ(ierr);
1991   mumps->id.redrhs = orhs;
1992   mumps->sizeredrhs = orhs_size;
1993   mumps->schur_sol = osol;
1994   mumps->schur_sizesol = osol_size;
1995   PetscFunctionReturn(0);
1996 }
1997 
1998 /* -------------------------------------------------------------------------------------------*/
1999 #undef __FUNCT__
2000 #define __FUNCT__ "MatFactorSetSchurComplementSolverType_MUMPS"
2001 PetscErrorCode MatFactorSetSchurComplementSolverType_MUMPS(Mat F, PetscInt sym)
2002 {
2003   Mat_MUMPS *mumps =(Mat_MUMPS*)F->data;
2004 
2005   PetscFunctionBegin;
2006   if (mumps->schur_factored && mumps->sym != mumps->schur_sym) {
2007     SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ARG_WRONG,"Cannot change the Schur solver! Schur complement data has been already factored");
2008   }
2009   mumps->schur_sym = sym;
2010   PetscFunctionReturn(0);
2011 }
2012 
2013 /* -------------------------------------------------------------------------------------------*/
2014 #undef __FUNCT__
2015 #define __FUNCT__ "MatMumpsSetIcntl_MUMPS"
2016 PetscErrorCode MatMumpsSetIcntl_MUMPS(Mat F,PetscInt icntl,PetscInt ival)
2017 {
2018   Mat_MUMPS *mumps =(Mat_MUMPS*)F->data;
2019 
2020   PetscFunctionBegin;
2021   mumps->id.ICNTL(icntl) = ival;
2022   PetscFunctionReturn(0);
2023 }
2024 
2025 #undef __FUNCT__
2026 #define __FUNCT__ "MatMumpsGetIcntl_MUMPS"
2027 PetscErrorCode MatMumpsGetIcntl_MUMPS(Mat F,PetscInt icntl,PetscInt *ival)
2028 {
2029   Mat_MUMPS *mumps =(Mat_MUMPS*)F->data;
2030 
2031   PetscFunctionBegin;
2032   *ival = mumps->id.ICNTL(icntl);
2033   PetscFunctionReturn(0);
2034 }
2035 
2036 #undef __FUNCT__
2037 #define __FUNCT__ "MatMumpsSetIcntl"
2038 /*@
2039   MatMumpsSetIcntl - Set MUMPS parameter ICNTL()
2040 
2041    Logically Collective on Mat
2042 
2043    Input Parameters:
2044 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
2045 .  icntl - index of MUMPS parameter array ICNTL()
2046 -  ival - value of MUMPS ICNTL(icntl)
2047 
2048   Options Database:
2049 .   -mat_mumps_icntl_<icntl> <ival>
2050 
2051    Level: beginner
2052 
2053    References:
2054 .     MUMPS Users' Guide
2055 
2056 .seealso: MatGetFactor(), MatMumpsSetICntl(), MatMumpsGetIcntl(), MatMumpsSetCntl(), MatMumpsGetCntl(), MatMumpsGetInfo(), MatMumpsGetInfog(), MatMumpsGetRinfo(), MatMumpsGetRinfog()
2057  @*/
2058 PetscErrorCode MatMumpsSetIcntl(Mat F,PetscInt icntl,PetscInt ival)
2059 {
2060   PetscErrorCode ierr;
2061 
2062   PetscFunctionBegin;
2063   PetscValidType(F,1);
2064   if (!F->factortype) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ARG_WRONGSTATE,"Only for factored matrix");
2065   PetscValidLogicalCollectiveInt(F,icntl,2);
2066   PetscValidLogicalCollectiveInt(F,ival,3);
2067   ierr = PetscTryMethod(F,"MatMumpsSetIcntl_C",(Mat,PetscInt,PetscInt),(F,icntl,ival));CHKERRQ(ierr);
2068   PetscFunctionReturn(0);
2069 }
2070 
2071 #undef __FUNCT__
2072 #define __FUNCT__ "MatMumpsGetIcntl"
2073 /*@
2074   MatMumpsGetIcntl - Get MUMPS parameter ICNTL()
2075 
2076    Logically Collective on Mat
2077 
2078    Input Parameters:
2079 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
2080 -  icntl - index of MUMPS parameter array ICNTL()
2081 
2082   Output Parameter:
2083 .  ival - value of MUMPS ICNTL(icntl)
2084 
2085    Level: beginner
2086 
2087    References:
2088 .     MUMPS Users' Guide
2089 
2090 .seealso: MatGetFactor(), MatMumpsSetICntl(), MatMumpsGetIcntl(), MatMumpsSetCntl(), MatMumpsGetCntl(), MatMumpsGetInfo(), MatMumpsGetInfog(), MatMumpsGetRinfo(), MatMumpsGetRinfog()
2091 @*/
2092 PetscErrorCode MatMumpsGetIcntl(Mat F,PetscInt icntl,PetscInt *ival)
2093 {
2094   PetscErrorCode ierr;
2095 
2096   PetscFunctionBegin;
2097   PetscValidType(F,1);
2098   if (!F->factortype) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ARG_WRONGSTATE,"Only for factored matrix");
2099   PetscValidLogicalCollectiveInt(F,icntl,2);
2100   PetscValidIntPointer(ival,3);
2101   ierr = PetscUseMethod(F,"MatMumpsGetIcntl_C",(Mat,PetscInt,PetscInt*),(F,icntl,ival));CHKERRQ(ierr);
2102   PetscFunctionReturn(0);
2103 }
2104 
2105 /* -------------------------------------------------------------------------------------------*/
2106 #undef __FUNCT__
2107 #define __FUNCT__ "MatMumpsSetCntl_MUMPS"
2108 PetscErrorCode MatMumpsSetCntl_MUMPS(Mat F,PetscInt icntl,PetscReal val)
2109 {
2110   Mat_MUMPS *mumps =(Mat_MUMPS*)F->data;
2111 
2112   PetscFunctionBegin;
2113   mumps->id.CNTL(icntl) = val;
2114   PetscFunctionReturn(0);
2115 }
2116 
2117 #undef __FUNCT__
2118 #define __FUNCT__ "MatMumpsGetCntl_MUMPS"
2119 PetscErrorCode MatMumpsGetCntl_MUMPS(Mat F,PetscInt icntl,PetscReal *val)
2120 {
2121   Mat_MUMPS *mumps =(Mat_MUMPS*)F->data;
2122 
2123   PetscFunctionBegin;
2124   *val = mumps->id.CNTL(icntl);
2125   PetscFunctionReturn(0);
2126 }
2127 
2128 #undef __FUNCT__
2129 #define __FUNCT__ "MatMumpsSetCntl"
2130 /*@
2131   MatMumpsSetCntl - Set MUMPS parameter CNTL()
2132 
2133    Logically Collective on Mat
2134 
2135    Input Parameters:
2136 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
2137 .  icntl - index of MUMPS parameter array CNTL()
2138 -  val - value of MUMPS CNTL(icntl)
2139 
2140   Options Database:
2141 .   -mat_mumps_cntl_<icntl> <val>
2142 
2143    Level: beginner
2144 
2145    References:
2146 .     MUMPS Users' Guide
2147 
2148 .seealso: MatGetFactor(), MatMumpsSetICntl(), MatMumpsGetIcntl(), MatMumpsSetCntl(), MatMumpsGetCntl(), MatMumpsGetInfo(), MatMumpsGetInfog(), MatMumpsGetRinfo(), MatMumpsGetRinfog()
2149 @*/
2150 PetscErrorCode MatMumpsSetCntl(Mat F,PetscInt icntl,PetscReal val)
2151 {
2152   PetscErrorCode ierr;
2153 
2154   PetscFunctionBegin;
2155   PetscValidType(F,1);
2156   if (!F->factortype) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ARG_WRONGSTATE,"Only for factored matrix");
2157   PetscValidLogicalCollectiveInt(F,icntl,2);
2158   PetscValidLogicalCollectiveReal(F,val,3);
2159   ierr = PetscTryMethod(F,"MatMumpsSetCntl_C",(Mat,PetscInt,PetscReal),(F,icntl,val));CHKERRQ(ierr);
2160   PetscFunctionReturn(0);
2161 }
2162 
2163 #undef __FUNCT__
2164 #define __FUNCT__ "MatMumpsGetCntl"
2165 /*@
2166   MatMumpsGetCntl - Get MUMPS parameter CNTL()
2167 
2168    Logically Collective on Mat
2169 
2170    Input Parameters:
2171 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
2172 -  icntl - index of MUMPS parameter array CNTL()
2173 
2174   Output Parameter:
2175 .  val - value of MUMPS CNTL(icntl)
2176 
2177    Level: beginner
2178 
2179    References:
2180 .      MUMPS Users' Guide
2181 
2182 .seealso: MatGetFactor(), MatMumpsSetICntl(), MatMumpsGetIcntl(), MatMumpsSetCntl(), MatMumpsGetCntl(), MatMumpsGetInfo(), MatMumpsGetInfog(), MatMumpsGetRinfo(), MatMumpsGetRinfog()
2183 @*/
2184 PetscErrorCode MatMumpsGetCntl(Mat F,PetscInt icntl,PetscReal *val)
2185 {
2186   PetscErrorCode ierr;
2187 
2188   PetscFunctionBegin;
2189   PetscValidType(F,1);
2190   if (!F->factortype) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ARG_WRONGSTATE,"Only for factored matrix");
2191   PetscValidLogicalCollectiveInt(F,icntl,2);
2192   PetscValidRealPointer(val,3);
2193   ierr = PetscUseMethod(F,"MatMumpsGetCntl_C",(Mat,PetscInt,PetscReal*),(F,icntl,val));CHKERRQ(ierr);
2194   PetscFunctionReturn(0);
2195 }
2196 
2197 #undef __FUNCT__
2198 #define __FUNCT__ "MatMumpsGetInfo_MUMPS"
2199 PetscErrorCode MatMumpsGetInfo_MUMPS(Mat F,PetscInt icntl,PetscInt *info)
2200 {
2201   Mat_MUMPS *mumps =(Mat_MUMPS*)F->data;
2202 
2203   PetscFunctionBegin;
2204   *info = mumps->id.INFO(icntl);
2205   PetscFunctionReturn(0);
2206 }
2207 
2208 #undef __FUNCT__
2209 #define __FUNCT__ "MatMumpsGetInfog_MUMPS"
2210 PetscErrorCode MatMumpsGetInfog_MUMPS(Mat F,PetscInt icntl,PetscInt *infog)
2211 {
2212   Mat_MUMPS *mumps =(Mat_MUMPS*)F->data;
2213 
2214   PetscFunctionBegin;
2215   *infog = mumps->id.INFOG(icntl);
2216   PetscFunctionReturn(0);
2217 }
2218 
2219 #undef __FUNCT__
2220 #define __FUNCT__ "MatMumpsGetRinfo_MUMPS"
2221 PetscErrorCode MatMumpsGetRinfo_MUMPS(Mat F,PetscInt icntl,PetscReal *rinfo)
2222 {
2223   Mat_MUMPS *mumps =(Mat_MUMPS*)F->data;
2224 
2225   PetscFunctionBegin;
2226   *rinfo = mumps->id.RINFO(icntl);
2227   PetscFunctionReturn(0);
2228 }
2229 
2230 #undef __FUNCT__
2231 #define __FUNCT__ "MatMumpsGetRinfog_MUMPS"
2232 PetscErrorCode MatMumpsGetRinfog_MUMPS(Mat F,PetscInt icntl,PetscReal *rinfog)
2233 {
2234   Mat_MUMPS *mumps =(Mat_MUMPS*)F->data;
2235 
2236   PetscFunctionBegin;
2237   *rinfog = mumps->id.RINFOG(icntl);
2238   PetscFunctionReturn(0);
2239 }
2240 
2241 #undef __FUNCT__
2242 #define __FUNCT__ "MatMumpsGetInfo"
2243 /*@
2244   MatMumpsGetInfo - Get MUMPS parameter INFO()
2245 
2246    Logically Collective on Mat
2247 
2248    Input Parameters:
2249 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
2250 -  icntl - index of MUMPS parameter array INFO()
2251 
2252   Output Parameter:
2253 .  ival - value of MUMPS INFO(icntl)
2254 
2255    Level: beginner
2256 
2257    References:
2258 .      MUMPS Users' Guide
2259 
2260 .seealso: MatGetFactor(), MatMumpsSetICntl(), MatMumpsGetIcntl(), MatMumpsSetCntl(), MatMumpsGetCntl(), MatMumpsGetInfo(), MatMumpsGetInfog(), MatMumpsGetRinfo(), MatMumpsGetRinfog()
2261 @*/
2262 PetscErrorCode MatMumpsGetInfo(Mat F,PetscInt icntl,PetscInt *ival)
2263 {
2264   PetscErrorCode ierr;
2265 
2266   PetscFunctionBegin;
2267   PetscValidType(F,1);
2268   if (!F->factortype) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ARG_WRONGSTATE,"Only for factored matrix");
2269   PetscValidIntPointer(ival,3);
2270   ierr = PetscUseMethod(F,"MatMumpsGetInfo_C",(Mat,PetscInt,PetscInt*),(F,icntl,ival));CHKERRQ(ierr);
2271   PetscFunctionReturn(0);
2272 }
2273 
2274 #undef __FUNCT__
2275 #define __FUNCT__ "MatMumpsGetInfog"
2276 /*@
2277   MatMumpsGetInfog - Get MUMPS parameter INFOG()
2278 
2279    Logically Collective on Mat
2280 
2281    Input Parameters:
2282 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
2283 -  icntl - index of MUMPS parameter array INFOG()
2284 
2285   Output Parameter:
2286 .  ival - value of MUMPS INFOG(icntl)
2287 
2288    Level: beginner
2289 
2290    References:
2291 .      MUMPS Users' Guide
2292 
2293 .seealso: MatGetFactor(), MatMumpsSetICntl(), MatMumpsGetIcntl(), MatMumpsSetCntl(), MatMumpsGetCntl(), MatMumpsGetInfo(), MatMumpsGetInfog(), MatMumpsGetRinfo(), MatMumpsGetRinfog()
2294 @*/
2295 PetscErrorCode MatMumpsGetInfog(Mat F,PetscInt icntl,PetscInt *ival)
2296 {
2297   PetscErrorCode ierr;
2298 
2299   PetscFunctionBegin;
2300   PetscValidType(F,1);
2301   if (!F->factortype) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ARG_WRONGSTATE,"Only for factored matrix");
2302   PetscValidIntPointer(ival,3);
2303   ierr = PetscUseMethod(F,"MatMumpsGetInfog_C",(Mat,PetscInt,PetscInt*),(F,icntl,ival));CHKERRQ(ierr);
2304   PetscFunctionReturn(0);
2305 }
2306 
2307 #undef __FUNCT__
2308 #define __FUNCT__ "MatMumpsGetRinfo"
2309 /*@
2310   MatMumpsGetRinfo - Get MUMPS parameter RINFO()
2311 
2312    Logically Collective on Mat
2313 
2314    Input Parameters:
2315 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
2316 -  icntl - index of MUMPS parameter array RINFO()
2317 
2318   Output Parameter:
2319 .  val - value of MUMPS RINFO(icntl)
2320 
2321    Level: beginner
2322 
2323    References:
2324 .       MUMPS Users' Guide
2325 
2326 .seealso: MatGetFactor(), MatMumpsSetICntl(), MatMumpsGetIcntl(), MatMumpsSetCntl(), MatMumpsGetCntl(), MatMumpsGetInfo(), MatMumpsGetInfog(), MatMumpsGetRinfo(), MatMumpsGetRinfog()
2327 @*/
2328 PetscErrorCode MatMumpsGetRinfo(Mat F,PetscInt icntl,PetscReal *val)
2329 {
2330   PetscErrorCode ierr;
2331 
2332   PetscFunctionBegin;
2333   PetscValidType(F,1);
2334   if (!F->factortype) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ARG_WRONGSTATE,"Only for factored matrix");
2335   PetscValidRealPointer(val,3);
2336   ierr = PetscUseMethod(F,"MatMumpsGetRinfo_C",(Mat,PetscInt,PetscReal*),(F,icntl,val));CHKERRQ(ierr);
2337   PetscFunctionReturn(0);
2338 }
2339 
2340 #undef __FUNCT__
2341 #define __FUNCT__ "MatMumpsGetRinfog"
2342 /*@
2343   MatMumpsGetRinfog - Get MUMPS parameter RINFOG()
2344 
2345    Logically Collective on Mat
2346 
2347    Input Parameters:
2348 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
2349 -  icntl - index of MUMPS parameter array RINFOG()
2350 
2351   Output Parameter:
2352 .  val - value of MUMPS RINFOG(icntl)
2353 
2354    Level: beginner
2355 
2356    References:
2357 .      MUMPS Users' Guide
2358 
2359 .seealso: MatGetFactor(), MatMumpsSetICntl(), MatMumpsGetIcntl(), MatMumpsSetCntl(), MatMumpsGetCntl(), MatMumpsGetInfo(), MatMumpsGetInfog(), MatMumpsGetRinfo(), MatMumpsGetRinfog()
2360 @*/
2361 PetscErrorCode MatMumpsGetRinfog(Mat F,PetscInt icntl,PetscReal *val)
2362 {
2363   PetscErrorCode ierr;
2364 
2365   PetscFunctionBegin;
2366   PetscValidType(F,1);
2367   if (!F->factortype) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ARG_WRONGSTATE,"Only for factored matrix");
2368   PetscValidRealPointer(val,3);
2369   ierr = PetscUseMethod(F,"MatMumpsGetRinfog_C",(Mat,PetscInt,PetscReal*),(F,icntl,val));CHKERRQ(ierr);
2370   PetscFunctionReturn(0);
2371 }
2372 
2373 /*MC
2374   MATSOLVERMUMPS -  A matrix type providing direct solvers (LU and Cholesky) for
2375   distributed and sequential matrices via the external package MUMPS.
2376 
2377   Works with MATAIJ and MATSBAIJ matrices
2378 
2379   Use ./configure --download-mumps --download-scalapack --download-parmetis --download-metis --download-ptscotch  to have PETSc installed with MUMPS
2380 
2381   Use -pc_type cholesky or lu -pc_factor_mat_solver_package mumps to us this direct solver
2382 
2383   Options Database Keys:
2384 +  -mat_mumps_icntl_1 - ICNTL(1): output stream for error messages
2385 .  -mat_mumps_icntl_2 - ICNTL(2): output stream for diagnostic printing, statistics, and warning
2386 .  -mat_mumps_icntl_3 -  ICNTL(3): output stream for global information, collected on the host
2387 .  -mat_mumps_icntl_4 -  ICNTL(4): level of printing (0 to 4)
2388 .  -mat_mumps_icntl_6 - ICNTL(6): permutes to a zero-free diagonal and/or scale the matrix (0 to 7)
2389 .  -mat_mumps_icntl_7 - ICNTL(7): computes a symmetric permutation in sequential analysis (0 to 7). 3=Scotch, 4=PORD, 5=Metis
2390 .  -mat_mumps_icntl_8  - ICNTL(8): scaling strategy (-2 to 8 or 77)
2391 .  -mat_mumps_icntl_10  - ICNTL(10): max num of refinements
2392 .  -mat_mumps_icntl_11  - ICNTL(11): statistics related to an error analysis (via -ksp_view)
2393 .  -mat_mumps_icntl_12  - ICNTL(12): an ordering strategy for symmetric matrices (0 to 3)
2394 .  -mat_mumps_icntl_13  - ICNTL(13): parallelism of the root node (enable ScaLAPACK) and its splitting
2395 .  -mat_mumps_icntl_14  - ICNTL(14): percentage increase in the estimated working space
2396 .  -mat_mumps_icntl_19  - ICNTL(19): computes the Schur complement
2397 .  -mat_mumps_icntl_22  - ICNTL(22): in-core/out-of-core factorization and solve (0 or 1)
2398 .  -mat_mumps_icntl_23  - ICNTL(23): max size of the working memory (MB) that can allocate per processor
2399 .  -mat_mumps_icntl_24  - ICNTL(24): detection of null pivot rows (0 or 1)
2400 .  -mat_mumps_icntl_25  - ICNTL(25): compute a solution of a deficient matrix and a null space basis
2401 .  -mat_mumps_icntl_26  - ICNTL(26): drives the solution phase if a Schur complement matrix
2402 .  -mat_mumps_icntl_28  - ICNTL(28): use 1 for sequential analysis and ictnl(7) ordering, or 2 for parallel analysis and ictnl(29) ordering
2403 .  -mat_mumps_icntl_29 - ICNTL(29): parallel ordering 1 = ptscotch, 2 = parmetis
2404 .  -mat_mumps_icntl_30 - ICNTL(30): compute user-specified set of entries in inv(A)
2405 .  -mat_mumps_icntl_31 - ICNTL(31): indicates which factors may be discarded during factorization
2406 .  -mat_mumps_icntl_33 - ICNTL(33): compute determinant
2407 .  -mat_mumps_cntl_1  - CNTL(1): relative pivoting threshold
2408 .  -mat_mumps_cntl_2  -  CNTL(2): stopping criterion of refinement
2409 .  -mat_mumps_cntl_3 - CNTL(3): absolute pivoting threshold
2410 .  -mat_mumps_cntl_4 - CNTL(4): value for static pivoting
2411 -  -mat_mumps_cntl_5 - CNTL(5): fixation for null pivots
2412 
2413   Level: beginner
2414 
2415     Notes: When a MUMPS factorization fails inside a KSP solve, for example with a KSP_DIVERGED_PCSETUP_FAILED, one can find the MUMPS information about the failure by calling
2416 $          KSPGetPC(ksp,&pc);
2417 $          PCFactorGetMatrix(pc,&mat);
2418 $          MatMumpsGetInfo(mat,....);
2419 $          MatMumpsGetInfog(mat,....); etc.
2420            Or you can run with -ksp_error_if_not_converged and the program will be stopped and the information printed in the error message.
2421 
2422 .seealso: PCFactorSetMatSolverPackage(), MatSolverPackage, MatMumpsSetICntl(), MatMumpsGetIcntl(), MatMumpsSetCntl(), MatMumpsGetCntl(), MatMumpsGetInfo(), MatMumpsGetInfog(), MatMumpsGetRinfo(), MatMumpsGetRinfog(), KSPGetPC(), PCGetFactor(), PCFactorGetMatrix()
2423 
2424 M*/
2425 
2426 #undef __FUNCT__
2427 #define __FUNCT__ "MatFactorGetSolverPackage_mumps"
2428 static PetscErrorCode MatFactorGetSolverPackage_mumps(Mat A,const MatSolverPackage *type)
2429 {
2430   PetscFunctionBegin;
2431   *type = MATSOLVERMUMPS;
2432   PetscFunctionReturn(0);
2433 }
2434 
2435 /* MatGetFactor for Seq and MPI AIJ matrices */
2436 #undef __FUNCT__
2437 #define __FUNCT__ "MatGetFactor_aij_mumps"
2438 static PetscErrorCode MatGetFactor_aij_mumps(Mat A,MatFactorType ftype,Mat *F)
2439 {
2440   Mat            B;
2441   PetscErrorCode ierr;
2442   Mat_MUMPS      *mumps;
2443   PetscBool      isSeqAIJ;
2444 
2445   PetscFunctionBegin;
2446   /* Create the factorization matrix */
2447   ierr = PetscObjectTypeCompare((PetscObject)A,MATSEQAIJ,&isSeqAIJ);CHKERRQ(ierr);
2448   ierr = MatCreate(PetscObjectComm((PetscObject)A),&B);CHKERRQ(ierr);
2449   ierr = MatSetSizes(B,A->rmap->n,A->cmap->n,A->rmap->N,A->cmap->N);CHKERRQ(ierr);
2450   ierr = PetscStrallocpy("mumps",&((PetscObject)B)->type_name);CHKERRQ(ierr);
2451   ierr = MatSetUp(B);CHKERRQ(ierr);
2452 
2453   ierr = PetscNewLog(B,&mumps);CHKERRQ(ierr);
2454 
2455   B->ops->view        = MatView_MUMPS;
2456   B->ops->getinfo     = MatGetInfo_MUMPS;
2457 
2458   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorGetSolverPackage_C",MatFactorGetSolverPackage_mumps);CHKERRQ(ierr);
2459   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSetSchurIS_C",MatFactorSetSchurIS_MUMPS);CHKERRQ(ierr);
2460   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorInvertSchurComplement_C",MatFactorInvertSchurComplement_MUMPS);CHKERRQ(ierr);
2461   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorCreateSchurComplement_C",MatFactorCreateSchurComplement_MUMPS);CHKERRQ(ierr);
2462   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorGetSchurComplement_C",MatFactorGetSchurComplement_MUMPS);CHKERRQ(ierr);
2463   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSolveSchurComplement_C",MatFactorSolveSchurComplement_MUMPS);CHKERRQ(ierr);
2464   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSolveSchurComplementTranspose_C",MatFactorSolveSchurComplementTranspose_MUMPS);CHKERRQ(ierr);
2465   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorFactorizeSchurComplement_C",MatFactorFactorizeSchurComplement_MUMPS);CHKERRQ(ierr);
2466   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSetSchurComplementSolverType_C",MatFactorSetSchurComplementSolverType_MUMPS);CHKERRQ(ierr);
2467   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsSetIcntl_C",MatMumpsSetIcntl_MUMPS);CHKERRQ(ierr);
2468   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetIcntl_C",MatMumpsGetIcntl_MUMPS);CHKERRQ(ierr);
2469   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsSetCntl_C",MatMumpsSetCntl_MUMPS);CHKERRQ(ierr);
2470   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetCntl_C",MatMumpsGetCntl_MUMPS);CHKERRQ(ierr);
2471   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetInfo_C",MatMumpsGetInfo_MUMPS);CHKERRQ(ierr);
2472   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetInfog_C",MatMumpsGetInfog_MUMPS);CHKERRQ(ierr);
2473   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetRinfo_C",MatMumpsGetRinfo_MUMPS);CHKERRQ(ierr);
2474   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetRinfog_C",MatMumpsGetRinfog_MUMPS);CHKERRQ(ierr);
2475 
2476   if (ftype == MAT_FACTOR_LU) {
2477     B->ops->lufactorsymbolic = MatLUFactorSymbolic_AIJMUMPS;
2478     B->factortype            = MAT_FACTOR_LU;
2479     if (isSeqAIJ) mumps->ConvertToTriples = MatConvertToTriples_seqaij_seqaij;
2480     else mumps->ConvertToTriples = MatConvertToTriples_mpiaij_mpiaij;
2481     mumps->sym = 0;
2482   } else {
2483     B->ops->choleskyfactorsymbolic = MatCholeskyFactorSymbolic_MUMPS;
2484     B->factortype                  = MAT_FACTOR_CHOLESKY;
2485     if (isSeqAIJ) mumps->ConvertToTriples = MatConvertToTriples_seqaij_seqsbaij;
2486     else mumps->ConvertToTriples = MatConvertToTriples_mpiaij_mpisbaij;
2487 #if defined(PETSC_USE_COMPLEX)
2488     mumps->sym = 2;
2489 #else
2490     if (A->spd_set && A->spd) mumps->sym = 1;
2491     else                      mumps->sym = 2;
2492 #endif
2493   }
2494 
2495   /* set solvertype */
2496   ierr = PetscFree(B->solvertype);CHKERRQ(ierr);
2497   ierr = PetscStrallocpy(MATSOLVERMUMPS,&B->solvertype);CHKERRQ(ierr);
2498 
2499   mumps->isAIJ    = PETSC_TRUE;
2500   B->ops->destroy = MatDestroy_MUMPS;
2501   B->data        = (void*)mumps;
2502 
2503   ierr = PetscInitializeMUMPS(A,mumps);CHKERRQ(ierr);
2504 
2505   *F = B;
2506   PetscFunctionReturn(0);
2507 }
2508 
2509 /* MatGetFactor for Seq and MPI SBAIJ matrices */
2510 #undef __FUNCT__
2511 #define __FUNCT__ "MatGetFactor_sbaij_mumps"
2512 static PetscErrorCode MatGetFactor_sbaij_mumps(Mat A,MatFactorType ftype,Mat *F)
2513 {
2514   Mat            B;
2515   PetscErrorCode ierr;
2516   Mat_MUMPS      *mumps;
2517   PetscBool      isSeqSBAIJ;
2518 
2519   PetscFunctionBegin;
2520   if (ftype != MAT_FACTOR_CHOLESKY) SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_SUP,"Cannot use PETSc SBAIJ matrices with MUMPS LU, use AIJ matrix");
2521   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");
2522   ierr = PetscObjectTypeCompare((PetscObject)A,MATSEQSBAIJ,&isSeqSBAIJ);CHKERRQ(ierr);
2523   /* Create the factorization matrix */
2524   ierr = MatCreate(PetscObjectComm((PetscObject)A),&B);CHKERRQ(ierr);
2525   ierr = MatSetSizes(B,A->rmap->n,A->cmap->n,A->rmap->N,A->cmap->N);CHKERRQ(ierr);
2526   ierr = PetscStrallocpy("mumps",&((PetscObject)B)->type_name);CHKERRQ(ierr);
2527   ierr = MatSetUp(B);CHKERRQ(ierr);
2528 
2529   ierr = PetscNewLog(B,&mumps);CHKERRQ(ierr);
2530   if (isSeqSBAIJ) {
2531     mumps->ConvertToTriples = MatConvertToTriples_seqsbaij_seqsbaij;
2532   } else {
2533     mumps->ConvertToTriples = MatConvertToTriples_mpisbaij_mpisbaij;
2534   }
2535 
2536   B->ops->getinfo                = MatGetInfo_External;
2537   B->ops->choleskyfactorsymbolic = MatCholeskyFactorSymbolic_MUMPS;
2538   B->ops->view                   = MatView_MUMPS;
2539 
2540   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorGetSolverPackage_C",MatFactorGetSolverPackage_mumps);CHKERRQ(ierr);
2541   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSetSchurIS_C",MatFactorSetSchurIS_MUMPS);CHKERRQ(ierr);
2542   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorInvertSchurComplement_C",MatFactorInvertSchurComplement_MUMPS);CHKERRQ(ierr);
2543   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorCreateSchurComplement_C",MatFactorCreateSchurComplement_MUMPS);CHKERRQ(ierr);
2544   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorGetSchurComplement_C",MatFactorGetSchurComplement_MUMPS);CHKERRQ(ierr);
2545   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSolveSchurComplement_C",MatFactorSolveSchurComplement_MUMPS);CHKERRQ(ierr);
2546   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSolveSchurComplementTranspose_C",MatFactorSolveSchurComplementTranspose_MUMPS);CHKERRQ(ierr);
2547   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorFactorizeSchurComplement_C",MatFactorFactorizeSchurComplement_MUMPS);CHKERRQ(ierr);
2548   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSetSchurComplementSolverType_C",MatFactorSetSchurComplementSolverType_MUMPS);CHKERRQ(ierr);
2549   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsSetIcntl_C",MatMumpsSetIcntl_MUMPS);CHKERRQ(ierr);
2550   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetIcntl_C",MatMumpsGetIcntl_MUMPS);CHKERRQ(ierr);
2551   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsSetCntl_C",MatMumpsSetCntl_MUMPS);CHKERRQ(ierr);
2552   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetCntl_C",MatMumpsGetCntl_MUMPS);CHKERRQ(ierr);
2553   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetInfo_C",MatMumpsGetInfo_MUMPS);CHKERRQ(ierr);
2554   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetInfog_C",MatMumpsGetInfog_MUMPS);CHKERRQ(ierr);
2555   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetRinfo_C",MatMumpsGetRinfo_MUMPS);CHKERRQ(ierr);
2556   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetRinfog_C",MatMumpsGetRinfog_MUMPS);CHKERRQ(ierr);
2557 
2558   B->factortype = MAT_FACTOR_CHOLESKY;
2559 #if defined(PETSC_USE_COMPLEX)
2560   mumps->sym = 2;
2561 #else
2562   if (A->spd_set && A->spd) mumps->sym = 1;
2563   else                      mumps->sym = 2;
2564 #endif
2565 
2566   /* set solvertype */
2567   ierr = PetscFree(B->solvertype);CHKERRQ(ierr);
2568   ierr = PetscStrallocpy(MATSOLVERMUMPS,&B->solvertype);CHKERRQ(ierr);
2569 
2570   mumps->isAIJ    = PETSC_FALSE;
2571   B->ops->destroy = MatDestroy_MUMPS;
2572   B->data        = (void*)mumps;
2573 
2574   ierr = PetscInitializeMUMPS(A,mumps);CHKERRQ(ierr);
2575 
2576   *F = B;
2577   PetscFunctionReturn(0);
2578 }
2579 
2580 #undef __FUNCT__
2581 #define __FUNCT__ "MatGetFactor_baij_mumps"
2582 static PetscErrorCode MatGetFactor_baij_mumps(Mat A,MatFactorType ftype,Mat *F)
2583 {
2584   Mat            B;
2585   PetscErrorCode ierr;
2586   Mat_MUMPS      *mumps;
2587   PetscBool      isSeqBAIJ;
2588 
2589   PetscFunctionBegin;
2590   /* Create the factorization matrix */
2591   ierr = PetscObjectTypeCompare((PetscObject)A,MATSEQBAIJ,&isSeqBAIJ);CHKERRQ(ierr);
2592   ierr = MatCreate(PetscObjectComm((PetscObject)A),&B);CHKERRQ(ierr);
2593   ierr = MatSetSizes(B,A->rmap->n,A->cmap->n,A->rmap->N,A->cmap->N);CHKERRQ(ierr);
2594   ierr = PetscStrallocpy("mumps",&((PetscObject)B)->type_name);CHKERRQ(ierr);
2595   ierr = MatSetUp(B);CHKERRQ(ierr);
2596 
2597   ierr = PetscNewLog(B,&mumps);CHKERRQ(ierr);
2598   if (ftype == MAT_FACTOR_LU) {
2599     B->ops->lufactorsymbolic = MatLUFactorSymbolic_BAIJMUMPS;
2600     B->factortype            = MAT_FACTOR_LU;
2601     if (isSeqBAIJ) mumps->ConvertToTriples = MatConvertToTriples_seqbaij_seqaij;
2602     else mumps->ConvertToTriples = MatConvertToTriples_mpibaij_mpiaij;
2603     mumps->sym = 0;
2604   } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Cannot use PETSc BAIJ matrices with MUMPS Cholesky, use SBAIJ or AIJ matrix instead\n");
2605 
2606   B->ops->getinfo     = MatGetInfo_External;
2607   B->ops->view        = MatView_MUMPS;
2608 
2609   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorGetSolverPackage_C",MatFactorGetSolverPackage_mumps);CHKERRQ(ierr);
2610   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSetSchurIS_C",MatFactorSetSchurIS_MUMPS);CHKERRQ(ierr);
2611   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorInvertSchurComplement_C",MatFactorInvertSchurComplement_MUMPS);CHKERRQ(ierr);
2612   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorCreateSchurComplement_C",MatFactorCreateSchurComplement_MUMPS);CHKERRQ(ierr);
2613   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorGetSchurComplement_C",MatFactorGetSchurComplement_MUMPS);CHKERRQ(ierr);
2614   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSolveSchurComplement_C",MatFactorSolveSchurComplement_MUMPS);CHKERRQ(ierr);
2615   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSolveSchurComplementTranspose_C",MatFactorSolveSchurComplementTranspose_MUMPS);CHKERRQ(ierr);
2616   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorFactorizeSchurComplement_C",MatFactorFactorizeSchurComplement_MUMPS);CHKERRQ(ierr);
2617   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSetSchurComplementSolverType_C",MatFactorSetSchurComplementSolverType_MUMPS);CHKERRQ(ierr);
2618   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsSetIcntl_C",MatMumpsSetIcntl_MUMPS);CHKERRQ(ierr);
2619   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetIcntl_C",MatMumpsGetIcntl_MUMPS);CHKERRQ(ierr);
2620   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsSetCntl_C",MatMumpsSetCntl_MUMPS);CHKERRQ(ierr);
2621   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetCntl_C",MatMumpsGetCntl_MUMPS);CHKERRQ(ierr);
2622   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetInfo_C",MatMumpsGetInfo_MUMPS);CHKERRQ(ierr);
2623   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetInfog_C",MatMumpsGetInfog_MUMPS);CHKERRQ(ierr);
2624   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetRinfo_C",MatMumpsGetRinfo_MUMPS);CHKERRQ(ierr);
2625   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetRinfog_C",MatMumpsGetRinfog_MUMPS);CHKERRQ(ierr);
2626 
2627   /* set solvertype */
2628   ierr = PetscFree(B->solvertype);CHKERRQ(ierr);
2629   ierr = PetscStrallocpy(MATSOLVERMUMPS,&B->solvertype);CHKERRQ(ierr);
2630 
2631   mumps->isAIJ    = PETSC_TRUE;
2632   B->ops->destroy = MatDestroy_MUMPS;
2633   B->data        = (void*)mumps;
2634 
2635   ierr = PetscInitializeMUMPS(A,mumps);CHKERRQ(ierr);
2636 
2637   *F = B;
2638   PetscFunctionReturn(0);
2639 }
2640 
2641 #undef __FUNCT__
2642 #define __FUNCT__ "MatSolverPackageRegister_MUMPS"
2643 PETSC_EXTERN PetscErrorCode MatSolverPackageRegister_MUMPS(void)
2644 {
2645   PetscErrorCode ierr;
2646 
2647   PetscFunctionBegin;
2648   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATMPIAIJ,MAT_FACTOR_LU,MatGetFactor_aij_mumps);CHKERRQ(ierr);
2649   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATMPIAIJ,MAT_FACTOR_CHOLESKY,MatGetFactor_aij_mumps);CHKERRQ(ierr);
2650   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATMPIBAIJ,MAT_FACTOR_LU,MatGetFactor_baij_mumps);CHKERRQ(ierr);
2651   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATMPIBAIJ,MAT_FACTOR_CHOLESKY,MatGetFactor_baij_mumps);CHKERRQ(ierr);
2652   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATMPISBAIJ,MAT_FACTOR_CHOLESKY,MatGetFactor_sbaij_mumps);CHKERRQ(ierr);
2653   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATSEQAIJ,MAT_FACTOR_LU,MatGetFactor_aij_mumps);CHKERRQ(ierr);
2654   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATSEQAIJ,MAT_FACTOR_CHOLESKY,MatGetFactor_aij_mumps);CHKERRQ(ierr);
2655   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATSEQBAIJ,MAT_FACTOR_LU,MatGetFactor_baij_mumps);CHKERRQ(ierr);
2656   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATSEQBAIJ,MAT_FACTOR_CHOLESKY,MatGetFactor_baij_mumps);CHKERRQ(ierr);
2657   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATSEQSBAIJ,MAT_FACTOR_CHOLESKY,MatGetFactor_sbaij_mumps);CHKERRQ(ierr);
2658   PetscFunctionReturn(0);
2659 }
2660 
2661