xref: /petsc/src/mat/impls/aij/mpi/mumps/mumps.c (revision 4ca3b5a533c1ed6cd2cefba7d4fa9d1009220a41)
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_restored;
97   PetscBool    schur_factored;
98   PetscBool    schur_inverted;
99 
100   PetscErrorCode (*Destroy)(Mat);
101   PetscErrorCode (*ConvertToTriples)(Mat, int, MatReuse, int*, int**, int**, PetscScalar**);
102 } Mat_MUMPS;
103 
104 extern PetscErrorCode MatDuplicate_MUMPS(Mat,MatDuplicateOption,Mat*);
105 
106 #undef __FUNCT__
107 #define __FUNCT__ "MatMumpsResetSchur_Private"
108 static PetscErrorCode MatMumpsResetSchur_Private(Mat_MUMPS* mumps)
109 {
110   PetscErrorCode ierr;
111 
112   PetscFunctionBegin;
113   ierr = PetscFree2(mumps->id.listvar_schur,mumps->id.schur);CHKERRQ(ierr);
114   ierr = PetscFree(mumps->id.redrhs);CHKERRQ(ierr);
115   ierr = PetscFree(mumps->schur_sol);CHKERRQ(ierr);
116   ierr = PetscFree(mumps->schur_pivots);CHKERRQ(ierr);
117   ierr = PetscFree(mumps->schur_work);CHKERRQ(ierr);
118   if (!mumps->schur_restored) {
119     SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ORDER,"Schur matrix has not been restored using MatFactorRestoreSchurComplement");
120   }
121   mumps->id.size_schur = 0;
122   mumps->id.ICNTL(19) = 0;
123   PetscFunctionReturn(0);
124 }
125 
126 #undef __FUNCT__
127 #define __FUNCT__ "MatMumpsFactorSchur_Private"
128 static PetscErrorCode MatMumpsFactorSchur_Private(Mat_MUMPS* mumps)
129 {
130   PetscBLASInt   B_N,B_ierr,B_slda;
131   PetscErrorCode ierr;
132 
133   PetscFunctionBegin;
134   if (mumps->schur_factored) {
135     PetscFunctionReturn(0);
136   }
137   ierr = PetscBLASIntCast(mumps->id.size_schur,&B_N);CHKERRQ(ierr);
138   ierr = PetscBLASIntCast(mumps->id.schur_lld,&B_slda);CHKERRQ(ierr);
139   if (!mumps->sym) { /* MUMPS always return a full Schur matrix */
140     if (!mumps->schur_pivots) {
141       ierr = PetscMalloc1(B_N,&mumps->schur_pivots);CHKERRQ(ierr);
142     }
143     ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr);
144     PetscStackCallBLAS("LAPACKgetrf",LAPACKgetrf_(&B_N,&B_N,(PetscScalar*)mumps->id.schur,&B_slda,mumps->schur_pivots,&B_ierr));
145     ierr = PetscFPTrapPop();CHKERRQ(ierr);
146     if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in GETRF Lapack routine %d",(int)B_ierr);
147   } else { /* either full or lower-triangular (not packed) */
148     char ord[2];
149     if (mumps->id.ICNTL(19) == 2 || mumps->id.ICNTL(19) == 3) { /* lower triangular stored by columns or full matrix */
150       sprintf(ord,"L");
151     } else { /* ICNTL(19) == 1 lower triangular stored by rows */
152       sprintf(ord,"U");
153     }
154     if (mumps->id.sym == 2) {
155       if (!mumps->schur_pivots) {
156         PetscScalar  lwork;
157 
158         ierr = PetscMalloc1(B_N,&mumps->schur_pivots);CHKERRQ(ierr);
159         mumps->schur_B_lwork=-1;
160         ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr);
161         PetscStackCallBLAS("LAPACKsytrf",LAPACKsytrf_(ord,&B_N,(PetscScalar*)mumps->id.schur,&B_slda,mumps->schur_pivots,&lwork,&mumps->schur_B_lwork,&B_ierr));
162         ierr = PetscFPTrapPop();CHKERRQ(ierr);
163         if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in query to SYTRF Lapack routine %d",(int)B_ierr);
164         ierr = PetscBLASIntCast((PetscInt)PetscRealPart(lwork),&mumps->schur_B_lwork);CHKERRQ(ierr);
165         ierr = PetscMalloc1(mumps->schur_B_lwork,&mumps->schur_work);CHKERRQ(ierr);
166       }
167       ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr);
168       PetscStackCallBLAS("LAPACKsytrf",LAPACKsytrf_(ord,&B_N,(PetscScalar*)mumps->id.schur,&B_slda,mumps->schur_pivots,mumps->schur_work,&mumps->schur_B_lwork,&B_ierr));
169       ierr = PetscFPTrapPop();CHKERRQ(ierr);
170       if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in SYTRF Lapack routine %d",(int)B_ierr);
171     } else {
172       ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr);
173       PetscStackCallBLAS("LAPACKpotrf",LAPACKpotrf_(ord,&B_N,(PetscScalar*)mumps->id.schur,&B_slda,&B_ierr));
174       ierr = PetscFPTrapPop();CHKERRQ(ierr);
175       if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in POTRF Lapack routine %d",(int)B_ierr);
176     }
177   }
178   mumps->schur_factored = PETSC_TRUE;
179   PetscFunctionReturn(0);
180 }
181 
182 #undef __FUNCT__
183 #define __FUNCT__ "MatMumpsInvertSchur_Private"
184 static PetscErrorCode MatMumpsInvertSchur_Private(Mat_MUMPS* mumps)
185 {
186   PetscBLASInt   B_N,B_ierr,B_slda;
187   PetscErrorCode ierr;
188 
189   PetscFunctionBegin;
190   ierr = MatMumpsFactorSchur_Private(mumps);CHKERRQ(ierr);
191   ierr = PetscBLASIntCast(mumps->id.size_schur,&B_N);CHKERRQ(ierr);
192   ierr = PetscBLASIntCast(mumps->id.schur_lld,&B_slda);CHKERRQ(ierr);
193   if (!mumps->sym) { /* MUMPS always return a full Schur matrix */
194     if (!mumps->schur_work) {
195       PetscScalar lwork;
196 
197       mumps->schur_B_lwork = -1;
198       ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr);
199       PetscStackCallBLAS("LAPACKgetri",LAPACKgetri_(&B_N,(PetscScalar*)mumps->id.schur,&B_N,mumps->schur_pivots,&lwork,&mumps->schur_B_lwork,&B_ierr));
200       ierr = PetscFPTrapPop();CHKERRQ(ierr);
201       if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in query to GETRI Lapack routine %d",(int)B_ierr);
202       ierr = PetscBLASIntCast((PetscInt)PetscRealPart(lwork),&mumps->schur_B_lwork);CHKERRQ(ierr);
203       ierr = PetscMalloc1(mumps->schur_B_lwork,&mumps->schur_work);CHKERRQ(ierr);
204     }
205     ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr);
206     PetscStackCallBLAS("LAPACKgetri",LAPACKgetri_(&B_N,(PetscScalar*)mumps->id.schur,&B_N,mumps->schur_pivots,mumps->schur_work,&mumps->schur_B_lwork,&B_ierr));
207     ierr = PetscFPTrapPop();CHKERRQ(ierr);
208     if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in GETRI Lapack routine %d",(int)B_ierr);
209   } else { /* either full or lower-triangular (not packed) */
210     char ord[2];
211     if (mumps->id.ICNTL(19) == 2 || mumps->id.ICNTL(19) == 3) { /* lower triangular stored by columns or full matrix */
212       sprintf(ord,"L");
213     } else { /* ICNTL(19) == 1 lower triangular stored by rows */
214       sprintf(ord,"U");
215     }
216     if (mumps->id.sym == 2) {
217       ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr);
218       PetscStackCallBLAS("LAPACKsytri",LAPACKsytri_(ord,&B_N,(PetscScalar*)mumps->id.schur,&B_N,mumps->schur_pivots,mumps->schur_work,&B_ierr));
219       ierr = PetscFPTrapPop();CHKERRQ(ierr);
220       if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in SYTRI Lapack routine %d",(int)B_ierr);
221     } else {
222       ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr);
223       PetscStackCallBLAS("LAPACKpotri",LAPACKpotri_(ord,&B_N,(PetscScalar*)mumps->id.schur,&B_N,&B_ierr));
224       ierr = PetscFPTrapPop();CHKERRQ(ierr);
225       if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in POTRI Lapack routine %d",(int)B_ierr);
226     }
227   }
228   mumps->schur_inverted = PETSC_TRUE;
229   PetscFunctionReturn(0);
230 }
231 
232 #undef __FUNCT__
233 #define __FUNCT__ "MatMumpsSolveSchur_Private"
234 static PetscErrorCode MatMumpsSolveSchur_Private(Mat_MUMPS* mumps, PetscBool sol_in_redrhs)
235 {
236   PetscBLASInt   B_N,B_Nrhs,B_ierr,B_slda,B_rlda;
237   PetscScalar    one=1.,zero=0.;
238   PetscErrorCode ierr;
239 
240   PetscFunctionBegin;
241   ierr = MatMumpsFactorSchur_Private(mumps);CHKERRQ(ierr);
242   ierr = PetscBLASIntCast(mumps->id.size_schur,&B_N);CHKERRQ(ierr);
243   ierr = PetscBLASIntCast(mumps->id.schur_lld,&B_slda);CHKERRQ(ierr);
244   ierr = PetscBLASIntCast(mumps->id.nrhs,&B_Nrhs);CHKERRQ(ierr);
245   ierr = PetscBLASIntCast(mumps->id.lredrhs,&B_rlda);CHKERRQ(ierr);
246   if (mumps->schur_inverted) {
247     PetscInt sizesol = B_Nrhs*B_N;
248     if (!mumps->schur_sol || sizesol > mumps->schur_sizesol) {
249       ierr = PetscFree(mumps->schur_sol);CHKERRQ(ierr);
250       ierr = PetscMalloc1(sizesol,&mumps->schur_sol);CHKERRQ(ierr);
251       mumps->schur_sizesol = sizesol;
252     }
253     if (!mumps->sym) {
254       char type[2];
255       if (mumps->id.ICNTL(19) == 1) { /* stored by rows */
256         if (!mumps->id.ICNTL(9)) { /* transpose solve */
257           sprintf(type,"N");
258         } else {
259           sprintf(type,"T");
260         }
261       } else { /* stored by columns */
262         if (!mumps->id.ICNTL(9)) { /* transpose solve */
263           sprintf(type,"T");
264         } else {
265           sprintf(type,"N");
266         }
267       }
268       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));
269     } else {
270       char ord[2];
271       if (mumps->id.ICNTL(19) == 2 || mumps->id.ICNTL(19) == 3) { /* lower triangular stored by columns or full matrix */
272         sprintf(ord,"L");
273       } else { /* ICNTL(19) == 1 lower triangular stored by rows */
274         sprintf(ord,"U");
275       }
276       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));
277     }
278     if (sol_in_redrhs) {
279       ierr = PetscMemcpy(mumps->id.redrhs,mumps->schur_sol,sizesol*sizeof(PetscScalar));CHKERRQ(ierr);
280     }
281   } else { /* Schur complement has not been inverted */
282     MumpsScalar *orhs=NULL;
283 
284     if (!sol_in_redrhs) {
285       PetscInt sizesol = B_Nrhs*B_N;
286       if (!mumps->schur_sol || sizesol > mumps->schur_sizesol) {
287         ierr = PetscFree(mumps->schur_sol);CHKERRQ(ierr);
288         ierr = PetscMalloc1(sizesol,&mumps->schur_sol);CHKERRQ(ierr);
289         mumps->schur_sizesol = sizesol;
290       }
291       orhs = mumps->id.redrhs;
292       ierr = PetscMemcpy(mumps->schur_sol,mumps->id.redrhs,sizesol*sizeof(PetscScalar));CHKERRQ(ierr);
293       mumps->id.redrhs = (MumpsScalar*)mumps->schur_sol;
294     }
295     if (!mumps->sym) { /* MUMPS always return a full Schur matrix */
296       char type[2];
297       if (mumps->id.ICNTL(19) == 1) { /* stored by rows */
298         if (!mumps->id.ICNTL(9)) { /* transpose solve */
299           sprintf(type,"N");
300         } else {
301           sprintf(type,"T");
302         }
303       } else { /* stored by columns */
304         if (!mumps->id.ICNTL(9)) { /* transpose solve */
305           sprintf(type,"T");
306         } else {
307           sprintf(type,"N");
308         }
309       }
310       ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr);
311       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));
312       ierr = PetscFPTrapPop();CHKERRQ(ierr);
313       if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in GETRS Lapack routine %d",(int)B_ierr);
314     } else { /* either full or lower-triangular (not packed) */
315       char ord[2];
316       if (mumps->id.ICNTL(19) == 2 || mumps->id.ICNTL(19) == 3) { /* lower triangular stored by columns or full matrix */
317         sprintf(ord,"L");
318       } else { /* ICNTL(19) == 1 lower triangular stored by rows */
319         sprintf(ord,"U");
320       }
321       if (mumps->id.sym == 2) {
322         ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr);
323         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));
324         ierr = PetscFPTrapPop();CHKERRQ(ierr);
325         if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in SYTRS Lapack routine %d",(int)B_ierr);
326       } else {
327         ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr);
328         PetscStackCallBLAS("LAPACKpotrs",LAPACKpotrs_(ord,&B_N,&B_Nrhs,(PetscScalar*)mumps->id.schur,&B_slda,(PetscScalar*)mumps->id.redrhs,&B_rlda,&B_ierr));
329         ierr = PetscFPTrapPop();CHKERRQ(ierr);
330         if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in POTRS Lapack routine %d",(int)B_ierr);
331       }
332     }
333     if (!sol_in_redrhs) {
334       mumps->id.redrhs = orhs;
335     }
336   }
337   PetscFunctionReturn(0);
338 }
339 
340 #undef __FUNCT__
341 #define __FUNCT__ "MatMumpsHandleSchur_Private"
342 static PetscErrorCode MatMumpsHandleSchur_Private(Mat_MUMPS* mumps, PetscBool expansion)
343 {
344   PetscErrorCode ierr;
345 
346   PetscFunctionBegin;
347   if (!mumps->id.ICNTL(19)) { /* do nothing when Schur complement has not been computed */
348     PetscFunctionReturn(0);
349   }
350   if (!expansion) { /* prepare for the condensation step */
351     /* check if schur complement has been computed
352        We set by default ICNTL(26) == -1 when Schur indices have been provided by the user.
353        According to MUMPS (5.0.0) manual, any value should be harmful during the factorization phase
354        Unless the user provides a valid value for ICNTL(26), MatSolve and MatMatSolve routines solve the full system.
355        This requires an extra call to PetscMUMPS_c and the computation of the factors for S */
356     if (mumps->id.ICNTL(26) < 0 || mumps->id.ICNTL(26) > 2) {
357       PetscInt sizeredrhs = mumps->id.nrhs*mumps->id.size_schur;
358       /* allocate MUMPS internal array to store reduced right-hand sides */
359       if (!mumps->id.redrhs || sizeredrhs > mumps->sizeredrhs) {
360         ierr = PetscFree(mumps->id.redrhs);CHKERRQ(ierr);
361         mumps->id.lredrhs = mumps->id.size_schur;
362         ierr = PetscMalloc1(mumps->id.nrhs*mumps->id.lredrhs,&mumps->id.redrhs);CHKERRQ(ierr);
363         mumps->sizeredrhs = mumps->id.nrhs*mumps->id.lredrhs;
364       }
365       mumps->id.ICNTL(26) = 1; /* condensation phase */
366     }
367   } else { /* prepare for the expansion step */
368     /* solve Schur complement (this has to be done by the MUMPS user, so basically us) */
369     ierr = MatMumpsSolveSchur_Private(mumps,PETSC_TRUE);CHKERRQ(ierr);
370     mumps->id.ICNTL(26) = 2; /* expansion phase */
371     PetscMUMPS_c(&mumps->id);
372     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));
373     /* restore defaults */
374     mumps->id.ICNTL(26) = -1;
375   }
376   PetscFunctionReturn(0);
377 }
378 
379 /*
380   MatConvertToTriples_A_B - convert Petsc matrix to triples: row[nz], col[nz], val[nz]
381 
382   input:
383     A       - matrix in aij,baij or sbaij (bs=1) format
384     shift   - 0: C style output triple; 1: Fortran style output triple.
385     reuse   - MAT_INITIAL_MATRIX: spaces are allocated and values are set for the triple
386               MAT_REUSE_MATRIX:   only the values in v array are updated
387   output:
388     nnz     - dim of r, c, and v (number of local nonzero entries of A)
389     r, c, v - row and col index, matrix values (matrix triples)
390 
391   The returned values r, c, and sometimes v are obtained in a single PetscMalloc(). Then in MatDestroy_MUMPS() it is
392   freed with PetscFree((mumps->irn);  This is not ideal code, the fact that v is ONLY sometimes part of mumps->irn means
393   that the PetscMalloc() cannot easily be replaced with a PetscMalloc3().
394 
395  */
396 
397 #undef __FUNCT__
398 #define __FUNCT__ "MatConvertToTriples_seqaij_seqaij"
399 PetscErrorCode MatConvertToTriples_seqaij_seqaij(Mat A,int shift,MatReuse reuse,int *nnz,int **r, int **c, PetscScalar **v)
400 {
401   const PetscInt *ai,*aj,*ajj,M=A->rmap->n;
402   PetscInt       nz,rnz,i,j;
403   PetscErrorCode ierr;
404   PetscInt       *row,*col;
405   Mat_SeqAIJ     *aa=(Mat_SeqAIJ*)A->data;
406 
407   PetscFunctionBegin;
408   *v=aa->a;
409   if (reuse == MAT_INITIAL_MATRIX) {
410     nz   = aa->nz;
411     ai   = aa->i;
412     aj   = aa->j;
413     *nnz = nz;
414     ierr = PetscMalloc1(2*nz, &row);CHKERRQ(ierr);
415     col  = row + nz;
416 
417     nz = 0;
418     for (i=0; i<M; i++) {
419       rnz = ai[i+1] - ai[i];
420       ajj = aj + ai[i];
421       for (j=0; j<rnz; j++) {
422         row[nz] = i+shift; col[nz++] = ajj[j] + shift;
423       }
424     }
425     *r = row; *c = col;
426   }
427   PetscFunctionReturn(0);
428 }
429 
430 #undef __FUNCT__
431 #define __FUNCT__ "MatConvertToTriples_seqbaij_seqaij"
432 PetscErrorCode MatConvertToTriples_seqbaij_seqaij(Mat A,int shift,MatReuse reuse,int *nnz,int **r, int **c, PetscScalar **v)
433 {
434   Mat_SeqBAIJ    *aa=(Mat_SeqBAIJ*)A->data;
435   const PetscInt *ai,*aj,*ajj,bs2 = aa->bs2;
436   PetscInt       bs,M,nz,idx=0,rnz,i,j,k,m;
437   PetscErrorCode ierr;
438   PetscInt       *row,*col;
439 
440   PetscFunctionBegin;
441   ierr = MatGetBlockSize(A,&bs);CHKERRQ(ierr);
442   M = A->rmap->N/bs;
443   *v = aa->a;
444   if (reuse == MAT_INITIAL_MATRIX) {
445     ai   = aa->i; aj = aa->j;
446     nz   = bs2*aa->nz;
447     *nnz = nz;
448     ierr = PetscMalloc1(2*nz, &row);CHKERRQ(ierr);
449     col  = row + nz;
450 
451     for (i=0; i<M; i++) {
452       ajj = aj + ai[i];
453       rnz = ai[i+1] - ai[i];
454       for (k=0; k<rnz; k++) {
455         for (j=0; j<bs; j++) {
456           for (m=0; m<bs; m++) {
457             row[idx]   = i*bs + m + shift;
458             col[idx++] = bs*(ajj[k]) + j + shift;
459           }
460         }
461       }
462     }
463     *r = row; *c = col;
464   }
465   PetscFunctionReturn(0);
466 }
467 
468 #undef __FUNCT__
469 #define __FUNCT__ "MatConvertToTriples_seqsbaij_seqsbaij"
470 PetscErrorCode MatConvertToTriples_seqsbaij_seqsbaij(Mat A,int shift,MatReuse reuse,int *nnz,int **r, int **c, PetscScalar **v)
471 {
472   const PetscInt *ai, *aj,*ajj,M=A->rmap->n;
473   PetscInt       nz,rnz,i,j;
474   PetscErrorCode ierr;
475   PetscInt       *row,*col;
476   Mat_SeqSBAIJ   *aa=(Mat_SeqSBAIJ*)A->data;
477 
478   PetscFunctionBegin;
479   *v = aa->a;
480   if (reuse == MAT_INITIAL_MATRIX) {
481     nz   = aa->nz;
482     ai   = aa->i;
483     aj   = aa->j;
484     *v   = aa->a;
485     *nnz = nz;
486     ierr = PetscMalloc1(2*nz, &row);CHKERRQ(ierr);
487     col  = row + nz;
488 
489     nz = 0;
490     for (i=0; i<M; i++) {
491       rnz = ai[i+1] - ai[i];
492       ajj = aj + ai[i];
493       for (j=0; j<rnz; j++) {
494         row[nz] = i+shift; col[nz++] = ajj[j] + shift;
495       }
496     }
497     *r = row; *c = col;
498   }
499   PetscFunctionReturn(0);
500 }
501 
502 #undef __FUNCT__
503 #define __FUNCT__ "MatConvertToTriples_seqaij_seqsbaij"
504 PetscErrorCode MatConvertToTriples_seqaij_seqsbaij(Mat A,int shift,MatReuse reuse,int *nnz,int **r, int **c, PetscScalar **v)
505 {
506   const PetscInt    *ai,*aj,*ajj,*adiag,M=A->rmap->n;
507   PetscInt          nz,rnz,i,j;
508   const PetscScalar *av,*v1;
509   PetscScalar       *val;
510   PetscErrorCode    ierr;
511   PetscInt          *row,*col;
512   Mat_SeqAIJ        *aa=(Mat_SeqAIJ*)A->data;
513 
514   PetscFunctionBegin;
515   ai   =aa->i; aj=aa->j;av=aa->a;
516   adiag=aa->diag;
517   if (reuse == MAT_INITIAL_MATRIX) {
518     /* count nz in the uppper triangular part of A */
519     nz = 0;
520     for (i=0; i<M; i++) nz += ai[i+1] - adiag[i];
521     *nnz = nz;
522 
523     ierr = PetscMalloc((2*nz*sizeof(PetscInt)+nz*sizeof(PetscScalar)), &row);CHKERRQ(ierr);
524     col  = row + nz;
525     val  = (PetscScalar*)(col + nz);
526 
527     nz = 0;
528     for (i=0; i<M; i++) {
529       rnz = ai[i+1] - adiag[i];
530       ajj = aj + adiag[i];
531       v1  = av + adiag[i];
532       for (j=0; j<rnz; j++) {
533         row[nz] = i+shift; col[nz] = ajj[j] + shift; val[nz++] = v1[j];
534       }
535     }
536     *r = row; *c = col; *v = val;
537   } else {
538     nz = 0; val = *v;
539     for (i=0; i <M; i++) {
540       rnz = ai[i+1] - adiag[i];
541       ajj = aj + adiag[i];
542       v1  = av + adiag[i];
543       for (j=0; j<rnz; j++) {
544         val[nz++] = v1[j];
545       }
546     }
547   }
548   PetscFunctionReturn(0);
549 }
550 
551 #undef __FUNCT__
552 #define __FUNCT__ "MatConvertToTriples_mpisbaij_mpisbaij"
553 PetscErrorCode MatConvertToTriples_mpisbaij_mpisbaij(Mat A,int shift,MatReuse reuse,int *nnz,int **r, int **c, PetscScalar **v)
554 {
555   const PetscInt    *ai, *aj, *bi, *bj,*garray,m=A->rmap->n,*ajj,*bjj;
556   PetscErrorCode    ierr;
557   PetscInt          rstart,nz,i,j,jj,irow,countA,countB;
558   PetscInt          *row,*col;
559   const PetscScalar *av, *bv,*v1,*v2;
560   PetscScalar       *val;
561   Mat_MPISBAIJ      *mat = (Mat_MPISBAIJ*)A->data;
562   Mat_SeqSBAIJ      *aa  = (Mat_SeqSBAIJ*)(mat->A)->data;
563   Mat_SeqBAIJ       *bb  = (Mat_SeqBAIJ*)(mat->B)->data;
564 
565   PetscFunctionBegin;
566   ai=aa->i; aj=aa->j; bi=bb->i; bj=bb->j; rstart= A->rmap->rstart;
567   av=aa->a; bv=bb->a;
568 
569   garray = mat->garray;
570 
571   if (reuse == MAT_INITIAL_MATRIX) {
572     nz   = aa->nz + bb->nz;
573     *nnz = nz;
574     ierr = PetscMalloc((2*nz*sizeof(PetscInt)+nz*sizeof(PetscScalar)), &row);CHKERRQ(ierr);
575     col  = row + nz;
576     val  = (PetscScalar*)(col + nz);
577 
578     *r = row; *c = col; *v = val;
579   } else {
580     row = *r; col = *c; val = *v;
581   }
582 
583   jj = 0; irow = rstart;
584   for (i=0; i<m; i++) {
585     ajj    = aj + ai[i];                 /* ptr to the beginning of this row */
586     countA = ai[i+1] - ai[i];
587     countB = bi[i+1] - bi[i];
588     bjj    = bj + bi[i];
589     v1     = av + ai[i];
590     v2     = bv + bi[i];
591 
592     /* A-part */
593     for (j=0; j<countA; j++) {
594       if (reuse == MAT_INITIAL_MATRIX) {
595         row[jj] = irow + shift; col[jj] = rstart + ajj[j] + shift;
596       }
597       val[jj++] = v1[j];
598     }
599 
600     /* B-part */
601     for (j=0; j < countB; j++) {
602       if (reuse == MAT_INITIAL_MATRIX) {
603         row[jj] = irow + shift; col[jj] = garray[bjj[j]] + shift;
604       }
605       val[jj++] = v2[j];
606     }
607     irow++;
608   }
609   PetscFunctionReturn(0);
610 }
611 
612 #undef __FUNCT__
613 #define __FUNCT__ "MatConvertToTriples_mpiaij_mpiaij"
614 PetscErrorCode MatConvertToTriples_mpiaij_mpiaij(Mat A,int shift,MatReuse reuse,int *nnz,int **r, int **c, PetscScalar **v)
615 {
616   const PetscInt    *ai, *aj, *bi, *bj,*garray,m=A->rmap->n,*ajj,*bjj;
617   PetscErrorCode    ierr;
618   PetscInt          rstart,nz,i,j,jj,irow,countA,countB;
619   PetscInt          *row,*col;
620   const PetscScalar *av, *bv,*v1,*v2;
621   PetscScalar       *val;
622   Mat_MPIAIJ        *mat = (Mat_MPIAIJ*)A->data;
623   Mat_SeqAIJ        *aa  = (Mat_SeqAIJ*)(mat->A)->data;
624   Mat_SeqAIJ        *bb  = (Mat_SeqAIJ*)(mat->B)->data;
625 
626   PetscFunctionBegin;
627   ai=aa->i; aj=aa->j; bi=bb->i; bj=bb->j; rstart= A->rmap->rstart;
628   av=aa->a; bv=bb->a;
629 
630   garray = mat->garray;
631 
632   if (reuse == MAT_INITIAL_MATRIX) {
633     nz   = aa->nz + bb->nz;
634     *nnz = nz;
635     ierr = PetscMalloc((2*nz*sizeof(PetscInt)+nz*sizeof(PetscScalar)), &row);CHKERRQ(ierr);
636     col  = row + nz;
637     val  = (PetscScalar*)(col + nz);
638 
639     *r = row; *c = col; *v = val;
640   } else {
641     row = *r; col = *c; val = *v;
642   }
643 
644   jj = 0; irow = rstart;
645   for (i=0; i<m; i++) {
646     ajj    = aj + ai[i];                 /* ptr to the beginning of this row */
647     countA = ai[i+1] - ai[i];
648     countB = bi[i+1] - bi[i];
649     bjj    = bj + bi[i];
650     v1     = av + ai[i];
651     v2     = bv + bi[i];
652 
653     /* A-part */
654     for (j=0; j<countA; j++) {
655       if (reuse == MAT_INITIAL_MATRIX) {
656         row[jj] = irow + shift; col[jj] = rstart + ajj[j] + shift;
657       }
658       val[jj++] = v1[j];
659     }
660 
661     /* B-part */
662     for (j=0; j < countB; j++) {
663       if (reuse == MAT_INITIAL_MATRIX) {
664         row[jj] = irow + shift; col[jj] = garray[bjj[j]] + shift;
665       }
666       val[jj++] = v2[j];
667     }
668     irow++;
669   }
670   PetscFunctionReturn(0);
671 }
672 
673 #undef __FUNCT__
674 #define __FUNCT__ "MatConvertToTriples_mpibaij_mpiaij"
675 PetscErrorCode MatConvertToTriples_mpibaij_mpiaij(Mat A,int shift,MatReuse reuse,int *nnz,int **r, int **c, PetscScalar **v)
676 {
677   Mat_MPIBAIJ       *mat    = (Mat_MPIBAIJ*)A->data;
678   Mat_SeqBAIJ       *aa     = (Mat_SeqBAIJ*)(mat->A)->data;
679   Mat_SeqBAIJ       *bb     = (Mat_SeqBAIJ*)(mat->B)->data;
680   const PetscInt    *ai     = aa->i, *bi = bb->i, *aj = aa->j, *bj = bb->j,*ajj, *bjj;
681   const PetscInt    *garray = mat->garray,mbs=mat->mbs,rstart=A->rmap->rstart;
682   const PetscInt    bs2=mat->bs2;
683   PetscErrorCode    ierr;
684   PetscInt          bs,nz,i,j,k,n,jj,irow,countA,countB,idx;
685   PetscInt          *row,*col;
686   const PetscScalar *av=aa->a, *bv=bb->a,*v1,*v2;
687   PetscScalar       *val;
688 
689   PetscFunctionBegin;
690   ierr = MatGetBlockSize(A,&bs);CHKERRQ(ierr);
691   if (reuse == MAT_INITIAL_MATRIX) {
692     nz   = bs2*(aa->nz + bb->nz);
693     *nnz = nz;
694     ierr = PetscMalloc((2*nz*sizeof(PetscInt)+nz*sizeof(PetscScalar)), &row);CHKERRQ(ierr);
695     col  = row + nz;
696     val  = (PetscScalar*)(col + nz);
697 
698     *r = row; *c = col; *v = val;
699   } else {
700     row = *r; col = *c; val = *v;
701   }
702 
703   jj = 0; irow = rstart;
704   for (i=0; i<mbs; i++) {
705     countA = ai[i+1] - ai[i];
706     countB = bi[i+1] - bi[i];
707     ajj    = aj + ai[i];
708     bjj    = bj + bi[i];
709     v1     = av + bs2*ai[i];
710     v2     = bv + bs2*bi[i];
711 
712     idx = 0;
713     /* A-part */
714     for (k=0; k<countA; k++) {
715       for (j=0; j<bs; j++) {
716         for (n=0; n<bs; n++) {
717           if (reuse == MAT_INITIAL_MATRIX) {
718             row[jj] = irow + n + shift;
719             col[jj] = rstart + bs*ajj[k] + j + shift;
720           }
721           val[jj++] = v1[idx++];
722         }
723       }
724     }
725 
726     idx = 0;
727     /* B-part */
728     for (k=0; k<countB; k++) {
729       for (j=0; j<bs; j++) {
730         for (n=0; n<bs; n++) {
731           if (reuse == MAT_INITIAL_MATRIX) {
732             row[jj] = irow + n + shift;
733             col[jj] = bs*garray[bjj[k]] + j + shift;
734           }
735           val[jj++] = v2[idx++];
736         }
737       }
738     }
739     irow += bs;
740   }
741   PetscFunctionReturn(0);
742 }
743 
744 #undef __FUNCT__
745 #define __FUNCT__ "MatConvertToTriples_mpiaij_mpisbaij"
746 PetscErrorCode MatConvertToTriples_mpiaij_mpisbaij(Mat A,int shift,MatReuse reuse,int *nnz,int **r, int **c, PetscScalar **v)
747 {
748   const PetscInt    *ai, *aj,*adiag, *bi, *bj,*garray,m=A->rmap->n,*ajj,*bjj;
749   PetscErrorCode    ierr;
750   PetscInt          rstart,nz,nza,nzb,i,j,jj,irow,countA,countB;
751   PetscInt          *row,*col;
752   const PetscScalar *av, *bv,*v1,*v2;
753   PetscScalar       *val;
754   Mat_MPIAIJ        *mat =  (Mat_MPIAIJ*)A->data;
755   Mat_SeqAIJ        *aa  =(Mat_SeqAIJ*)(mat->A)->data;
756   Mat_SeqAIJ        *bb  =(Mat_SeqAIJ*)(mat->B)->data;
757 
758   PetscFunctionBegin;
759   ai=aa->i; aj=aa->j; adiag=aa->diag;
760   bi=bb->i; bj=bb->j; garray = mat->garray;
761   av=aa->a; bv=bb->a;
762 
763   rstart = A->rmap->rstart;
764 
765   if (reuse == MAT_INITIAL_MATRIX) {
766     nza = 0;    /* num of upper triangular entries in mat->A, including diagonals */
767     nzb = 0;    /* num of upper triangular entries in mat->B */
768     for (i=0; i<m; i++) {
769       nza   += (ai[i+1] - adiag[i]);
770       countB = bi[i+1] - bi[i];
771       bjj    = bj + bi[i];
772       for (j=0; j<countB; j++) {
773         if (garray[bjj[j]] > rstart) nzb++;
774       }
775     }
776 
777     nz   = nza + nzb; /* total nz of upper triangular part of mat */
778     *nnz = nz;
779     ierr = PetscMalloc((2*nz*sizeof(PetscInt)+nz*sizeof(PetscScalar)), &row);CHKERRQ(ierr);
780     col  = row + nz;
781     val  = (PetscScalar*)(col + nz);
782 
783     *r = row; *c = col; *v = val;
784   } else {
785     row = *r; col = *c; val = *v;
786   }
787 
788   jj = 0; irow = rstart;
789   for (i=0; i<m; i++) {
790     ajj    = aj + adiag[i];                 /* ptr to the beginning of the diagonal of this row */
791     v1     = av + adiag[i];
792     countA = ai[i+1] - adiag[i];
793     countB = bi[i+1] - bi[i];
794     bjj    = bj + bi[i];
795     v2     = bv + bi[i];
796 
797     /* A-part */
798     for (j=0; j<countA; j++) {
799       if (reuse == MAT_INITIAL_MATRIX) {
800         row[jj] = irow + shift; col[jj] = rstart + ajj[j] + shift;
801       }
802       val[jj++] = v1[j];
803     }
804 
805     /* B-part */
806     for (j=0; j < countB; j++) {
807       if (garray[bjj[j]] > rstart) {
808         if (reuse == MAT_INITIAL_MATRIX) {
809           row[jj] = irow + shift; col[jj] = garray[bjj[j]] + shift;
810         }
811         val[jj++] = v2[j];
812       }
813     }
814     irow++;
815   }
816   PetscFunctionReturn(0);
817 }
818 
819 #undef __FUNCT__
820 #define __FUNCT__ "MatGetDiagonal_MUMPS"
821 PetscErrorCode MatGetDiagonal_MUMPS(Mat A,Vec v)
822 {
823   PetscFunctionBegin;
824   SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_SUP,"Mat type: MUMPS factor");
825   PetscFunctionReturn(0);
826 }
827 
828 #undef __FUNCT__
829 #define __FUNCT__ "MatDestroy_MUMPS"
830 PetscErrorCode MatDestroy_MUMPS(Mat A)
831 {
832   Mat_MUMPS      *mumps=(Mat_MUMPS*)A->spptr;
833   PetscErrorCode ierr;
834 
835   PetscFunctionBegin;
836   ierr = PetscFree2(mumps->id.sol_loc,mumps->id.isol_loc);CHKERRQ(ierr);
837   ierr = VecScatterDestroy(&mumps->scat_rhs);CHKERRQ(ierr);
838   ierr = VecScatterDestroy(&mumps->scat_sol);CHKERRQ(ierr);
839   ierr = VecDestroy(&mumps->b_seq);CHKERRQ(ierr);
840   ierr = VecDestroy(&mumps->x_seq);CHKERRQ(ierr);
841   ierr = PetscFree(mumps->id.perm_in);CHKERRQ(ierr);
842   ierr = PetscFree(mumps->irn);CHKERRQ(ierr);
843   ierr = PetscFree(mumps->info);CHKERRQ(ierr);
844   ierr = MatMumpsResetSchur_Private(mumps);CHKERRQ(ierr);
845   mumps->id.job = JOB_END;
846   PetscMUMPS_c(&mumps->id);
847   ierr = MPI_Comm_free(&mumps->comm_mumps);CHKERRQ(ierr);
848   if (mumps->Destroy) {
849     ierr = (mumps->Destroy)(A);CHKERRQ(ierr);
850   }
851   ierr = PetscFree(A->spptr);CHKERRQ(ierr);
852 
853   /* clear composed functions */
854   ierr = PetscObjectComposeFunction((PetscObject)A,"MatFactorGetSolverPackage_C",NULL);CHKERRQ(ierr);
855   ierr = PetscObjectComposeFunction((PetscObject)A,"MatFactorSetSchurIS_C",NULL);CHKERRQ(ierr);
856   ierr = PetscObjectComposeFunction((PetscObject)A,"MatFactorInvertSchurComplement_C",NULL);CHKERRQ(ierr);
857   ierr = PetscObjectComposeFunction((PetscObject)A,"MatFactorCreateSchurComplement_C",NULL);CHKERRQ(ierr);
858   ierr = PetscObjectComposeFunction((PetscObject)A,"MatFactorGetSchurComplement_C",NULL);CHKERRQ(ierr);
859   ierr = PetscObjectComposeFunction((PetscObject)A,"MatFactorRestoreSchurComplement_C",NULL);CHKERRQ(ierr);
860   ierr = PetscObjectComposeFunction((PetscObject)A,"MatFactorSolveSchurComplement_C",NULL);CHKERRQ(ierr);
861   ierr = PetscObjectComposeFunction((PetscObject)A,"MatFactorSolveSchurComplementTranspose_C",NULL);CHKERRQ(ierr);
862   ierr = PetscObjectComposeFunction((PetscObject)A,"MatMumpsSetIcntl_C",NULL);CHKERRQ(ierr);
863   ierr = PetscObjectComposeFunction((PetscObject)A,"MatMumpsGetIcntl_C",NULL);CHKERRQ(ierr);
864   ierr = PetscObjectComposeFunction((PetscObject)A,"MatMumpsSetCntl_C",NULL);CHKERRQ(ierr);
865   ierr = PetscObjectComposeFunction((PetscObject)A,"MatMumpsGetCntl_C",NULL);CHKERRQ(ierr);
866   ierr = PetscObjectComposeFunction((PetscObject)A,"MatMumpsGetInfo_C",NULL);CHKERRQ(ierr);
867   ierr = PetscObjectComposeFunction((PetscObject)A,"MatMumpsGetInfog_C",NULL);CHKERRQ(ierr);
868   ierr = PetscObjectComposeFunction((PetscObject)A,"MatMumpsGetRinfo_C",NULL);CHKERRQ(ierr);
869   ierr = PetscObjectComposeFunction((PetscObject)A,"MatMumpsGetRinfog_C",NULL);CHKERRQ(ierr);
870   PetscFunctionReturn(0);
871 }
872 
873 #undef __FUNCT__
874 #define __FUNCT__ "MatSolve_MUMPS"
875 PetscErrorCode MatSolve_MUMPS(Mat A,Vec b,Vec x)
876 {
877   Mat_MUMPS        *mumps=(Mat_MUMPS*)A->spptr;
878   PetscScalar      *array;
879   Vec              b_seq;
880   IS               is_iden,is_petsc;
881   PetscErrorCode   ierr;
882   PetscInt         i;
883   static PetscBool cite1 = PETSC_FALSE,cite2 = PETSC_FALSE;
884 
885   PetscFunctionBegin;
886   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);
887   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);
888   mumps->id.nrhs = 1;
889   b_seq          = mumps->b_seq;
890   if (mumps->size > 1) {
891     /* MUMPS only supports centralized rhs. Scatter b into a seqential rhs vector */
892     ierr = VecScatterBegin(mumps->scat_rhs,b,b_seq,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
893     ierr = VecScatterEnd(mumps->scat_rhs,b,b_seq,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
894     if (!mumps->myid) {ierr = VecGetArray(b_seq,&array);CHKERRQ(ierr);}
895   } else {  /* size == 1 */
896     ierr = VecCopy(b,x);CHKERRQ(ierr);
897     ierr = VecGetArray(x,&array);CHKERRQ(ierr);
898   }
899   if (!mumps->myid) { /* define rhs on the host */
900     mumps->id.nrhs = 1;
901     mumps->id.rhs = (MumpsScalar*)array;
902   }
903 
904   /* handle condensation step of Schur complement (if any) */
905   ierr = MatMumpsHandleSchur_Private(mumps,PETSC_FALSE);CHKERRQ(ierr);
906 
907   /* solve phase */
908   /*-------------*/
909   mumps->id.job = JOB_SOLVE;
910   PetscMUMPS_c(&mumps->id);
911   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));
912 
913   /* handle expansion step of Schur complement (if any) */
914   ierr = MatMumpsHandleSchur_Private(mumps,PETSC_TRUE);CHKERRQ(ierr);
915 
916   if (mumps->size > 1) { /* convert mumps distributed solution to petsc mpi x */
917     if (mumps->scat_sol && mumps->ICNTL9_pre != mumps->id.ICNTL(9)) {
918       /* when id.ICNTL(9) changes, the contents of lsol_loc may change (not its size, lsol_loc), recreates scat_sol */
919       ierr = VecScatterDestroy(&mumps->scat_sol);CHKERRQ(ierr);
920     }
921     if (!mumps->scat_sol) { /* create scatter scat_sol */
922       ierr = ISCreateStride(PETSC_COMM_SELF,mumps->id.lsol_loc,0,1,&is_iden);CHKERRQ(ierr); /* from */
923       for (i=0; i<mumps->id.lsol_loc; i++) {
924         mumps->id.isol_loc[i] -= 1; /* change Fortran style to C style */
925       }
926       ierr = ISCreateGeneral(PETSC_COMM_SELF,mumps->id.lsol_loc,mumps->id.isol_loc,PETSC_COPY_VALUES,&is_petsc);CHKERRQ(ierr);  /* to */
927       ierr = VecScatterCreate(mumps->x_seq,is_iden,x,is_petsc,&mumps->scat_sol);CHKERRQ(ierr);
928       ierr = ISDestroy(&is_iden);CHKERRQ(ierr);
929       ierr = ISDestroy(&is_petsc);CHKERRQ(ierr);
930 
931       mumps->ICNTL9_pre = mumps->id.ICNTL(9); /* save current value of id.ICNTL(9) */
932     }
933 
934     ierr = VecScatterBegin(mumps->scat_sol,mumps->x_seq,x,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
935     ierr = VecScatterEnd(mumps->scat_sol,mumps->x_seq,x,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
936   }
937   PetscFunctionReturn(0);
938 }
939 
940 #undef __FUNCT__
941 #define __FUNCT__ "MatSolveTranspose_MUMPS"
942 PetscErrorCode MatSolveTranspose_MUMPS(Mat A,Vec b,Vec x)
943 {
944   Mat_MUMPS      *mumps=(Mat_MUMPS*)A->spptr;
945   PetscErrorCode ierr;
946 
947   PetscFunctionBegin;
948   mumps->id.ICNTL(9) = 0;
949   ierr = MatSolve_MUMPS(A,b,x);CHKERRQ(ierr);
950   mumps->id.ICNTL(9) = 1;
951   PetscFunctionReturn(0);
952 }
953 
954 #undef __FUNCT__
955 #define __FUNCT__ "MatMatSolve_MUMPS"
956 PetscErrorCode MatMatSolve_MUMPS(Mat A,Mat B,Mat X)
957 {
958   PetscErrorCode ierr;
959   PetscBool      flg;
960   Mat_MUMPS      *mumps=(Mat_MUMPS*)A->spptr;
961   PetscInt       i,nrhs,M;
962   PetscScalar    *array,*bray;
963 
964   PetscFunctionBegin;
965   ierr = PetscObjectTypeCompareAny((PetscObject)B,&flg,MATSEQDENSE,MATMPIDENSE,NULL);CHKERRQ(ierr);
966   if (!flg) SETERRQ(PetscObjectComm((PetscObject)B),PETSC_ERR_ARG_WRONG,"Matrix B must be MATDENSE matrix");
967   ierr = PetscObjectTypeCompareAny((PetscObject)X,&flg,MATSEQDENSE,MATMPIDENSE,NULL);CHKERRQ(ierr);
968   if (!flg) SETERRQ(PetscObjectComm((PetscObject)X),PETSC_ERR_ARG_WRONG,"Matrix X must be MATDENSE matrix");
969   if (B->rmap->n != X->rmap->n) SETERRQ(PetscObjectComm((PetscObject)B),PETSC_ERR_ARG_WRONG,"Matrix B and X must have same row distribution");
970 
971   ierr = MatGetSize(B,&M,&nrhs);CHKERRQ(ierr);
972   mumps->id.nrhs = nrhs;
973   mumps->id.lrhs = M;
974 
975   if (mumps->size == 1) {
976     /* copy B to X */
977     ierr = MatDenseGetArray(B,&bray);CHKERRQ(ierr);
978     ierr = MatDenseGetArray(X,&array);CHKERRQ(ierr);
979     ierr = PetscMemcpy(array,bray,M*nrhs*sizeof(PetscScalar));CHKERRQ(ierr);
980     ierr = MatDenseRestoreArray(B,&bray);CHKERRQ(ierr);
981     mumps->id.rhs = (MumpsScalar*)array;
982     /* handle condensation step of Schur complement (if any) */
983     ierr = MatMumpsHandleSchur_Private(mumps,PETSC_FALSE);CHKERRQ(ierr);
984 
985     /* solve phase */
986     /*-------------*/
987     mumps->id.job = JOB_SOLVE;
988     PetscMUMPS_c(&mumps->id);
989     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));
990 
991     /* handle expansion step of Schur complement (if any) */
992     ierr = MatMumpsHandleSchur_Private(mumps,PETSC_TRUE);CHKERRQ(ierr);
993     ierr = MatDenseRestoreArray(X,&array);CHKERRQ(ierr);
994   } else {  /*--------- parallel case --------*/
995     PetscInt       lsol_loc,nlsol_loc,*isol_loc,*idx,*iidx,*idxx,*isol_loc_save;
996     MumpsScalar    *sol_loc,*sol_loc_save;
997     IS             is_to,is_from;
998     PetscInt       k,proc,j,m;
999     const PetscInt *rstart;
1000     Vec            v_mpi,b_seq,x_seq;
1001     VecScatter     scat_rhs,scat_sol;
1002 
1003     /* create x_seq to hold local solution */
1004     isol_loc_save = mumps->id.isol_loc; /* save it for MatSovle() */
1005     sol_loc_save  = mumps->id.sol_loc;
1006 
1007     lsol_loc  = mumps->id.INFO(23);
1008     nlsol_loc = nrhs*lsol_loc;     /* length of sol_loc */
1009     ierr = PetscMalloc2(nlsol_loc,&sol_loc,nlsol_loc,&isol_loc);CHKERRQ(ierr);
1010     mumps->id.sol_loc = (MumpsScalar*)sol_loc;
1011     mumps->id.isol_loc = isol_loc;
1012 
1013     ierr = VecCreateSeqWithArray(PETSC_COMM_SELF,1,nlsol_loc,(PetscScalar*)sol_loc,&x_seq);CHKERRQ(ierr);
1014 
1015     /* copy rhs matrix B into vector v_mpi */
1016     ierr = MatGetLocalSize(B,&m,NULL);CHKERRQ(ierr);
1017     ierr = MatDenseGetArray(B,&bray);CHKERRQ(ierr);
1018     ierr = VecCreateMPIWithArray(PetscObjectComm((PetscObject)B),1,nrhs*m,nrhs*M,(const PetscScalar*)bray,&v_mpi);CHKERRQ(ierr);
1019     ierr = MatDenseRestoreArray(B,&bray);CHKERRQ(ierr);
1020 
1021     /* scatter v_mpi to b_seq because MUMPS only supports centralized rhs */
1022     /* idx: maps from k-th index of v_mpi to (i,j)-th global entry of B;
1023       iidx: inverse of idx, will be used by scattering xx_seq -> X       */
1024     ierr = PetscMalloc2(nrhs*M,&idx,nrhs*M,&iidx);CHKERRQ(ierr);
1025     ierr = MatGetOwnershipRanges(B,&rstart);CHKERRQ(ierr);
1026     k = 0;
1027     for (proc=0; proc<mumps->size; proc++){
1028       for (j=0; j<nrhs; j++){
1029         for (i=rstart[proc]; i<rstart[proc+1]; i++){
1030           iidx[j*M + i] = k;
1031           idx[k++]      = j*M + i;
1032         }
1033       }
1034     }
1035 
1036     if (!mumps->myid) {
1037       ierr = VecCreateSeq(PETSC_COMM_SELF,nrhs*M,&b_seq);CHKERRQ(ierr);
1038       ierr = ISCreateGeneral(PETSC_COMM_SELF,nrhs*M,idx,PETSC_COPY_VALUES,&is_to);CHKERRQ(ierr);
1039       ierr = ISCreateStride(PETSC_COMM_SELF,nrhs*M,0,1,&is_from);CHKERRQ(ierr);
1040     } else {
1041       ierr = VecCreateSeq(PETSC_COMM_SELF,0,&b_seq);CHKERRQ(ierr);
1042       ierr = ISCreateStride(PETSC_COMM_SELF,0,0,1,&is_to);CHKERRQ(ierr);
1043       ierr = ISCreateStride(PETSC_COMM_SELF,0,0,1,&is_from);CHKERRQ(ierr);
1044     }
1045     ierr = VecScatterCreate(v_mpi,is_from,b_seq,is_to,&scat_rhs);CHKERRQ(ierr);
1046     ierr = VecScatterBegin(scat_rhs,v_mpi,b_seq,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1047     ierr = ISDestroy(&is_to);CHKERRQ(ierr);
1048     ierr = ISDestroy(&is_from);CHKERRQ(ierr);
1049     ierr = VecScatterEnd(scat_rhs,v_mpi,b_seq,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1050 
1051     if (!mumps->myid) { /* define rhs on the host */
1052       ierr = VecGetArray(b_seq,&bray);CHKERRQ(ierr);
1053       mumps->id.rhs = (MumpsScalar*)bray;
1054       ierr = VecRestoreArray(b_seq,&bray);CHKERRQ(ierr);
1055     }
1056 
1057     /* solve phase */
1058     /*-------------*/
1059     mumps->id.job = JOB_SOLVE;
1060     PetscMUMPS_c(&mumps->id);
1061     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));
1062 
1063     /* scatter mumps distributed solution to petsc vector v_mpi, which shares local arrays with solution matrix X */
1064     ierr = MatDenseGetArray(X,&array);CHKERRQ(ierr);
1065     ierr = VecPlaceArray(v_mpi,array);CHKERRQ(ierr);
1066 
1067     /* create scatter scat_sol */
1068     ierr = PetscMalloc1(nlsol_loc,&idxx);CHKERRQ(ierr);
1069     ierr = ISCreateStride(PETSC_COMM_SELF,nlsol_loc,0,1,&is_from);CHKERRQ(ierr);
1070     for (i=0; i<lsol_loc; i++) {
1071       isol_loc[i] -= 1; /* change Fortran style to C style */
1072       idxx[i] = iidx[isol_loc[i]];
1073       for (j=1; j<nrhs; j++){
1074         idxx[j*lsol_loc+i] = iidx[isol_loc[i]+j*M];
1075       }
1076     }
1077     ierr = ISCreateGeneral(PETSC_COMM_SELF,nlsol_loc,idxx,PETSC_COPY_VALUES,&is_to);CHKERRQ(ierr);
1078     ierr = VecScatterCreate(x_seq,is_from,v_mpi,is_to,&scat_sol);CHKERRQ(ierr);
1079     ierr = VecScatterBegin(scat_sol,x_seq,v_mpi,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1080     ierr = ISDestroy(&is_from);CHKERRQ(ierr);
1081     ierr = ISDestroy(&is_to);CHKERRQ(ierr);
1082     ierr = VecScatterEnd(scat_sol,x_seq,v_mpi,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1083     ierr = MatDenseRestoreArray(X,&array);CHKERRQ(ierr);
1084 
1085     /* free spaces */
1086     mumps->id.sol_loc = sol_loc_save;
1087     mumps->id.isol_loc = isol_loc_save;
1088 
1089     ierr = PetscFree2(sol_loc,isol_loc);CHKERRQ(ierr);
1090     ierr = PetscFree2(idx,iidx);CHKERRQ(ierr);
1091     ierr = PetscFree(idxx);CHKERRQ(ierr);
1092     ierr = VecDestroy(&x_seq);CHKERRQ(ierr);
1093     ierr = VecDestroy(&v_mpi);CHKERRQ(ierr);
1094     ierr = VecDestroy(&b_seq);CHKERRQ(ierr);
1095     ierr = VecScatterDestroy(&scat_rhs);CHKERRQ(ierr);
1096     ierr = VecScatterDestroy(&scat_sol);CHKERRQ(ierr);
1097   }
1098   PetscFunctionReturn(0);
1099 }
1100 
1101 #if !defined(PETSC_USE_COMPLEX)
1102 /*
1103   input:
1104    F:        numeric factor
1105   output:
1106    nneg:     total number of negative pivots
1107    nzero:    0
1108    npos:     (global dimension of F) - nneg
1109 */
1110 
1111 #undef __FUNCT__
1112 #define __FUNCT__ "MatGetInertia_SBAIJMUMPS"
1113 PetscErrorCode MatGetInertia_SBAIJMUMPS(Mat F,int *nneg,int *nzero,int *npos)
1114 {
1115   Mat_MUMPS      *mumps =(Mat_MUMPS*)F->spptr;
1116   PetscErrorCode ierr;
1117   PetscMPIInt    size;
1118 
1119   PetscFunctionBegin;
1120   ierr = MPI_Comm_size(PetscObjectComm((PetscObject)F),&size);CHKERRQ(ierr);
1121   /* 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 */
1122   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));
1123 
1124   if (nneg) *nneg = mumps->id.INFOG(12);
1125   if (nzero || npos) {
1126     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");
1127     if (nzero) *nzero = mumps->id.INFOG(28);
1128     if (npos) *npos   = F->rmap->N - (mumps->id.INFOG(12) + mumps->id.INFOG(28));
1129   }
1130   PetscFunctionReturn(0);
1131 }
1132 #endif /* !defined(PETSC_USE_COMPLEX) */
1133 
1134 #undef __FUNCT__
1135 #define __FUNCT__ "MatFactorNumeric_MUMPS"
1136 PetscErrorCode MatFactorNumeric_MUMPS(Mat F,Mat A,const MatFactorInfo *info)
1137 {
1138   Mat_MUMPS      *mumps =(Mat_MUMPS*)(F)->spptr;
1139   PetscErrorCode ierr;
1140   Mat            F_diag;
1141   PetscBool      isMPIAIJ;
1142 
1143   PetscFunctionBegin;
1144   ierr = (*mumps->ConvertToTriples)(A, 1, MAT_REUSE_MATRIX, &mumps->nz, &mumps->irn, &mumps->jcn, &mumps->val);CHKERRQ(ierr);
1145 
1146   /* numerical factorization phase */
1147   /*-------------------------------*/
1148   mumps->id.job = JOB_FACTNUMERIC;
1149   if (!mumps->id.ICNTL(18)) { /* A is centralized */
1150     if (!mumps->myid) {
1151       mumps->id.a = (MumpsScalar*)mumps->val;
1152     }
1153   } else {
1154     mumps->id.a_loc = (MumpsScalar*)mumps->val;
1155   }
1156   PetscMUMPS_c(&mumps->id);
1157   if (mumps->id.INFOG(1) < 0) {
1158     if (mumps->id.INFO(1) == -13) {
1159       if (mumps->id.INFO(2) < 0) {
1160         SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error reported by MUMPS in numerical factorization phase: Cannot allocate required memory %d megabytes\n",-mumps->id.INFO(2));
1161       } else {
1162         SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error reported by MUMPS in numerical factorization phase: Cannot allocate required memory %d bytes\n",mumps->id.INFO(2));
1163       }
1164     } else SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error reported by MUMPS in numerical factorization phase: INFO(1)=%d, INFO(2)=%d\n",mumps->id.INFO(1),mumps->id.INFO(2));
1165   }
1166   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));
1167 
1168   (F)->assembled        = PETSC_TRUE;
1169   mumps->matstruc       = SAME_NONZERO_PATTERN;
1170   mumps->schur_factored = PETSC_FALSE;
1171   mumps->schur_inverted = PETSC_FALSE;
1172 
1173   /* just to be sure that ICNTL(19) value returned by a call from MatMumpsGetIcntl is always consistent */
1174   if (!mumps->sym && mumps->id.ICNTL(19) && mumps->id.ICNTL(19) != 1) mumps->id.ICNTL(19) = 3;
1175 
1176   if (mumps->size > 1) {
1177     PetscInt    lsol_loc;
1178     PetscScalar *sol_loc;
1179 
1180     ierr = PetscObjectTypeCompare((PetscObject)A,MATMPIAIJ,&isMPIAIJ);CHKERRQ(ierr);
1181     if (isMPIAIJ) F_diag = ((Mat_MPIAIJ*)(F)->data)->A;
1182     else F_diag = ((Mat_MPISBAIJ*)(F)->data)->A;
1183     F_diag->assembled = PETSC_TRUE;
1184 
1185     /* distributed solution; Create x_seq=sol_loc for repeated use */
1186     if (mumps->x_seq) {
1187       ierr = VecScatterDestroy(&mumps->scat_sol);CHKERRQ(ierr);
1188       ierr = PetscFree2(mumps->id.sol_loc,mumps->id.isol_loc);CHKERRQ(ierr);
1189       ierr = VecDestroy(&mumps->x_seq);CHKERRQ(ierr);
1190     }
1191     lsol_loc = mumps->id.INFO(23); /* length of sol_loc */
1192     ierr = PetscMalloc2(lsol_loc,&sol_loc,lsol_loc,&mumps->id.isol_loc);CHKERRQ(ierr);
1193     mumps->id.lsol_loc = lsol_loc;
1194     mumps->id.sol_loc = (MumpsScalar*)sol_loc;
1195     ierr = VecCreateSeqWithArray(PETSC_COMM_SELF,1,lsol_loc,sol_loc,&mumps->x_seq);CHKERRQ(ierr);
1196   }
1197   PetscFunctionReturn(0);
1198 }
1199 
1200 /* Sets MUMPS options from the options database */
1201 #undef __FUNCT__
1202 #define __FUNCT__ "PetscSetMUMPSFromOptions"
1203 PetscErrorCode PetscSetMUMPSFromOptions(Mat F, Mat A)
1204 {
1205   Mat_MUMPS      *mumps = (Mat_MUMPS*)F->spptr;
1206   PetscErrorCode ierr;
1207   PetscInt       icntl,info[40],i,ninfo=40;
1208   PetscBool      flg;
1209 
1210   PetscFunctionBegin;
1211   ierr = PetscOptionsBegin(PetscObjectComm((PetscObject)A),((PetscObject)A)->prefix,"MUMPS Options","Mat");CHKERRQ(ierr);
1212   ierr = PetscOptionsInt("-mat_mumps_icntl_1","ICNTL(1): output stream for error messages","None",mumps->id.ICNTL(1),&icntl,&flg);CHKERRQ(ierr);
1213   if (flg) mumps->id.ICNTL(1) = icntl;
1214   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);
1215   if (flg) mumps->id.ICNTL(2) = icntl;
1216   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);
1217   if (flg) mumps->id.ICNTL(3) = icntl;
1218 
1219   ierr = PetscOptionsInt("-mat_mumps_icntl_4","ICNTL(4): level of printing (0 to 4)","None",mumps->id.ICNTL(4),&icntl,&flg);CHKERRQ(ierr);
1220   if (flg) mumps->id.ICNTL(4) = icntl;
1221   if (mumps->id.ICNTL(4) || PetscLogPrintInfo) mumps->id.ICNTL(3) = 6; /* resume MUMPS default id.ICNTL(3) = 6 */
1222 
1223   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);
1224   if (flg) mumps->id.ICNTL(6) = icntl;
1225 
1226   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);
1227   if (flg) {
1228     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");
1229     else mumps->id.ICNTL(7) = icntl;
1230   }
1231 
1232   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);
1233   /* 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() */
1234   ierr = PetscOptionsInt("-mat_mumps_icntl_10","ICNTL(10): max num of refinements","None",mumps->id.ICNTL(10),&mumps->id.ICNTL(10),NULL);CHKERRQ(ierr);
1235   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);
1236   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);
1237   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);
1238   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);
1239   ierr = PetscOptionsInt("-mat_mumps_icntl_19","ICNTL(19): computes the Schur complement","None",mumps->id.ICNTL(19),&mumps->id.ICNTL(19),NULL);CHKERRQ(ierr);
1240   if (mumps->id.ICNTL(19) <= 0 || mumps->id.ICNTL(19) > 3) { /* reset any schur data (if any) */
1241     ierr = MatMumpsResetSchur_Private(mumps);CHKERRQ(ierr);
1242   }
1243   /* 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 */
1244   /* 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 */
1245 
1246   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);
1247   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);
1248   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);
1249   if (mumps->id.ICNTL(24)) {
1250     mumps->id.ICNTL(13) = 1; /* turn-off ScaLAPACK to help with the correct detection of null pivots */
1251   }
1252 
1253   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);
1254   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);
1255   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);
1256   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);
1257   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);
1258   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);
1259   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);
1260   /* 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 */
1261   ierr = PetscOptionsInt("-mat_mumps_icntl_33","ICNTL(33): compute determinant","None",mumps->id.ICNTL(33),&mumps->id.ICNTL(33),NULL);CHKERRQ(ierr);
1262 
1263   ierr = PetscOptionsReal("-mat_mumps_cntl_1","CNTL(1): relative pivoting threshold","None",mumps->id.CNTL(1),&mumps->id.CNTL(1),NULL);CHKERRQ(ierr);
1264   ierr = PetscOptionsReal("-mat_mumps_cntl_2","CNTL(2): stopping criterion of refinement","None",mumps->id.CNTL(2),&mumps->id.CNTL(2),NULL);CHKERRQ(ierr);
1265   ierr = PetscOptionsReal("-mat_mumps_cntl_3","CNTL(3): absolute pivoting threshold","None",mumps->id.CNTL(3),&mumps->id.CNTL(3),NULL);CHKERRQ(ierr);
1266   ierr = PetscOptionsReal("-mat_mumps_cntl_4","CNTL(4): value for static pivoting","None",mumps->id.CNTL(4),&mumps->id.CNTL(4),NULL);CHKERRQ(ierr);
1267   ierr = PetscOptionsReal("-mat_mumps_cntl_5","CNTL(5): fixation for null pivots","None",mumps->id.CNTL(5),&mumps->id.CNTL(5),NULL);CHKERRQ(ierr);
1268 
1269   ierr = PetscOptionsString("-mat_mumps_ooc_tmpdir", "out of core directory", "None", mumps->id.ooc_tmpdir, mumps->id.ooc_tmpdir, 256, NULL);
1270 
1271   ierr = PetscOptionsIntArray("-mat_mumps_view_info","request INFO local to each processor","",info,&ninfo,NULL);CHKERRQ(ierr);
1272   if (ninfo) {
1273     if (ninfo > 40) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_USER,"number of INFO %d must <= 40\n",ninfo);
1274     ierr = PetscMalloc1(ninfo,&mumps->info);CHKERRQ(ierr);
1275     mumps->ninfo = ninfo;
1276     for (i=0; i<ninfo; i++) {
1277       if (info[i] < 0 || info[i]>40) {
1278         SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_USER,"index of INFO %d must between 1 and 40\n",ninfo);
1279       } else {
1280         mumps->info[i] = info[i];
1281       }
1282     }
1283   }
1284 
1285   PetscOptionsEnd();
1286   PetscFunctionReturn(0);
1287 }
1288 
1289 #undef __FUNCT__
1290 #define __FUNCT__ "PetscInitializeMUMPS"
1291 PetscErrorCode PetscInitializeMUMPS(Mat A,Mat_MUMPS *mumps)
1292 {
1293   PetscErrorCode ierr;
1294 
1295   PetscFunctionBegin;
1296   ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)A), &mumps->myid);
1297   ierr = MPI_Comm_size(PetscObjectComm((PetscObject)A),&mumps->size);CHKERRQ(ierr);
1298   ierr = MPI_Comm_dup(PetscObjectComm((PetscObject)A),&(mumps->comm_mumps));CHKERRQ(ierr);
1299 
1300   mumps->id.comm_fortran = MPI_Comm_c2f(mumps->comm_mumps);
1301 
1302   mumps->id.job = JOB_INIT;
1303   mumps->id.par = 1;  /* host participates factorizaton and solve */
1304   mumps->id.sym = mumps->sym;
1305   PetscMUMPS_c(&mumps->id);
1306 
1307   mumps->scat_rhs     = NULL;
1308   mumps->scat_sol     = NULL;
1309 
1310   /* set PETSc-MUMPS default options - override MUMPS default */
1311   mumps->id.ICNTL(3) = 0;
1312   mumps->id.ICNTL(4) = 0;
1313   if (mumps->size == 1) {
1314     mumps->id.ICNTL(18) = 0;   /* centralized assembled matrix input */
1315   } else {
1316     mumps->id.ICNTL(18) = 3;   /* distributed assembled matrix input */
1317     mumps->id.ICNTL(20) = 0;   /* rhs is in dense format */
1318     mumps->id.ICNTL(21) = 1;   /* distributed solution */
1319   }
1320 
1321   /* schur */
1322   mumps->id.size_schur      = 0;
1323   mumps->id.listvar_schur   = NULL;
1324   mumps->id.schur           = NULL;
1325   mumps->sizeredrhs         = 0;
1326   mumps->schur_pivots       = NULL;
1327   mumps->schur_work         = NULL;
1328   mumps->schur_sol          = NULL;
1329   mumps->schur_sizesol      = 0;
1330   mumps->schur_restored     = PETSC_TRUE;
1331   mumps->schur_factored     = PETSC_FALSE;
1332   mumps->schur_inverted     = PETSC_FALSE;
1333   PetscFunctionReturn(0);
1334 }
1335 
1336 /* Note Petsc r(=c) permutation is used when mumps->id.ICNTL(7)==1 with centralized assembled matrix input; otherwise r and c are ignored */
1337 #undef __FUNCT__
1338 #define __FUNCT__ "MatLUFactorSymbolic_AIJMUMPS"
1339 PetscErrorCode MatLUFactorSymbolic_AIJMUMPS(Mat F,Mat A,IS r,IS c,const MatFactorInfo *info)
1340 {
1341   Mat_MUMPS      *mumps = (Mat_MUMPS*)F->spptr;
1342   PetscErrorCode ierr;
1343   Vec            b;
1344   IS             is_iden;
1345   const PetscInt M = A->rmap->N;
1346 
1347   PetscFunctionBegin;
1348   mumps->matstruc = DIFFERENT_NONZERO_PATTERN;
1349 
1350   /* Set MUMPS options from the options database */
1351   ierr = PetscSetMUMPSFromOptions(F,A);CHKERRQ(ierr);
1352 
1353   ierr = (*mumps->ConvertToTriples)(A, 1, MAT_INITIAL_MATRIX, &mumps->nz, &mumps->irn, &mumps->jcn, &mumps->val);CHKERRQ(ierr);
1354 
1355   /* analysis phase */
1356   /*----------------*/
1357   mumps->id.job = JOB_FACTSYMBOLIC;
1358   mumps->id.n   = M;
1359   switch (mumps->id.ICNTL(18)) {
1360   case 0:  /* centralized assembled matrix input */
1361     if (!mumps->myid) {
1362       mumps->id.nz =mumps->nz; mumps->id.irn=mumps->irn; mumps->id.jcn=mumps->jcn;
1363       if (mumps->id.ICNTL(6)>1) {
1364         mumps->id.a = (MumpsScalar*)mumps->val;
1365       }
1366       if (mumps->id.ICNTL(7) == 1) { /* use user-provide matrix ordering - assuming r = c ordering */
1367         /*
1368         PetscBool      flag;
1369         ierr = ISEqual(r,c,&flag);CHKERRQ(ierr);
1370         if (!flag) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_USER,"row_perm != col_perm");
1371         ierr = ISView(r,PETSC_VIEWER_STDOUT_SELF);
1372          */
1373         if (!mumps->myid) {
1374           const PetscInt *idx;
1375           PetscInt       i,*perm_in;
1376 
1377           ierr = PetscMalloc1(M,&perm_in);CHKERRQ(ierr);
1378           ierr = ISGetIndices(r,&idx);CHKERRQ(ierr);
1379 
1380           mumps->id.perm_in = perm_in;
1381           for (i=0; i<M; i++) perm_in[i] = idx[i]+1; /* perm_in[]: start from 1, not 0! */
1382           ierr = ISRestoreIndices(r,&idx);CHKERRQ(ierr);
1383         }
1384       }
1385     }
1386     break;
1387   case 3:  /* distributed assembled matrix input (size>1) */
1388     mumps->id.nz_loc = mumps->nz;
1389     mumps->id.irn_loc=mumps->irn; mumps->id.jcn_loc=mumps->jcn;
1390     if (mumps->id.ICNTL(6)>1) {
1391       mumps->id.a_loc = (MumpsScalar*)mumps->val;
1392     }
1393     /* MUMPS only supports centralized rhs. Create scatter scat_rhs for repeated use in MatSolve() */
1394     if (!mumps->myid) {
1395       ierr = VecCreateSeq(PETSC_COMM_SELF,A->rmap->N,&mumps->b_seq);CHKERRQ(ierr);
1396       ierr = ISCreateStride(PETSC_COMM_SELF,A->rmap->N,0,1,&is_iden);CHKERRQ(ierr);
1397     } else {
1398       ierr = VecCreateSeq(PETSC_COMM_SELF,0,&mumps->b_seq);CHKERRQ(ierr);
1399       ierr = ISCreateStride(PETSC_COMM_SELF,0,0,1,&is_iden);CHKERRQ(ierr);
1400     }
1401     ierr = MatCreateVecs(A,NULL,&b);CHKERRQ(ierr);
1402     ierr = VecScatterCreate(b,is_iden,mumps->b_seq,is_iden,&mumps->scat_rhs);CHKERRQ(ierr);
1403     ierr = ISDestroy(&is_iden);CHKERRQ(ierr);
1404     ierr = VecDestroy(&b);CHKERRQ(ierr);
1405     break;
1406   }
1407   PetscMUMPS_c(&mumps->id);
1408   if (mumps->id.INFOG(1) < 0) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error reported by MUMPS in analysis phase: INFOG(1)=%d\n",mumps->id.INFOG(1));
1409 
1410   F->ops->lufactornumeric = MatFactorNumeric_MUMPS;
1411   F->ops->solve           = MatSolve_MUMPS;
1412   F->ops->solvetranspose  = MatSolveTranspose_MUMPS;
1413   F->ops->matsolve        = MatMatSolve_MUMPS;
1414   PetscFunctionReturn(0);
1415 }
1416 
1417 /* Note the Petsc r and c permutations are ignored */
1418 #undef __FUNCT__
1419 #define __FUNCT__ "MatLUFactorSymbolic_BAIJMUMPS"
1420 PetscErrorCode MatLUFactorSymbolic_BAIJMUMPS(Mat F,Mat A,IS r,IS c,const MatFactorInfo *info)
1421 {
1422   Mat_MUMPS      *mumps = (Mat_MUMPS*)F->spptr;
1423   PetscErrorCode ierr;
1424   Vec            b;
1425   IS             is_iden;
1426   const PetscInt M = A->rmap->N;
1427 
1428   PetscFunctionBegin;
1429   mumps->matstruc = DIFFERENT_NONZERO_PATTERN;
1430 
1431   /* Set MUMPS options from the options database */
1432   ierr = PetscSetMUMPSFromOptions(F,A);CHKERRQ(ierr);
1433 
1434   ierr = (*mumps->ConvertToTriples)(A, 1, MAT_INITIAL_MATRIX, &mumps->nz, &mumps->irn, &mumps->jcn, &mumps->val);CHKERRQ(ierr);
1435 
1436   /* analysis phase */
1437   /*----------------*/
1438   mumps->id.job = JOB_FACTSYMBOLIC;
1439   mumps->id.n   = M;
1440   switch (mumps->id.ICNTL(18)) {
1441   case 0:  /* centralized assembled matrix input */
1442     if (!mumps->myid) {
1443       mumps->id.nz =mumps->nz; mumps->id.irn=mumps->irn; mumps->id.jcn=mumps->jcn;
1444       if (mumps->id.ICNTL(6)>1) {
1445         mumps->id.a = (MumpsScalar*)mumps->val;
1446       }
1447     }
1448     break;
1449   case 3:  /* distributed assembled matrix input (size>1) */
1450     mumps->id.nz_loc = mumps->nz;
1451     mumps->id.irn_loc=mumps->irn; mumps->id.jcn_loc=mumps->jcn;
1452     if (mumps->id.ICNTL(6)>1) {
1453       mumps->id.a_loc = (MumpsScalar*)mumps->val;
1454     }
1455     /* MUMPS only supports centralized rhs. Create scatter scat_rhs for repeated use in MatSolve() */
1456     if (!mumps->myid) {
1457       ierr = VecCreateSeq(PETSC_COMM_SELF,A->cmap->N,&mumps->b_seq);CHKERRQ(ierr);
1458       ierr = ISCreateStride(PETSC_COMM_SELF,A->cmap->N,0,1,&is_iden);CHKERRQ(ierr);
1459     } else {
1460       ierr = VecCreateSeq(PETSC_COMM_SELF,0,&mumps->b_seq);CHKERRQ(ierr);
1461       ierr = ISCreateStride(PETSC_COMM_SELF,0,0,1,&is_iden);CHKERRQ(ierr);
1462     }
1463     ierr = MatCreateVecs(A,NULL,&b);CHKERRQ(ierr);
1464     ierr = VecScatterCreate(b,is_iden,mumps->b_seq,is_iden,&mumps->scat_rhs);CHKERRQ(ierr);
1465     ierr = ISDestroy(&is_iden);CHKERRQ(ierr);
1466     ierr = VecDestroy(&b);CHKERRQ(ierr);
1467     break;
1468   }
1469   PetscMUMPS_c(&mumps->id);
1470   if (mumps->id.INFOG(1) < 0) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error reported by MUMPS in analysis phase: INFOG(1)=%d\n",mumps->id.INFOG(1));
1471 
1472   F->ops->lufactornumeric = MatFactorNumeric_MUMPS;
1473   F->ops->solve           = MatSolve_MUMPS;
1474   F->ops->solvetranspose  = MatSolveTranspose_MUMPS;
1475   PetscFunctionReturn(0);
1476 }
1477 
1478 /* Note the Petsc r permutation and factor info are ignored */
1479 #undef __FUNCT__
1480 #define __FUNCT__ "MatCholeskyFactorSymbolic_MUMPS"
1481 PetscErrorCode MatCholeskyFactorSymbolic_MUMPS(Mat F,Mat A,IS r,const MatFactorInfo *info)
1482 {
1483   Mat_MUMPS      *mumps = (Mat_MUMPS*)F->spptr;
1484   PetscErrorCode ierr;
1485   Vec            b;
1486   IS             is_iden;
1487   const PetscInt M = A->rmap->N;
1488 
1489   PetscFunctionBegin;
1490   mumps->matstruc = DIFFERENT_NONZERO_PATTERN;
1491 
1492   /* Set MUMPS options from the options database */
1493   ierr = PetscSetMUMPSFromOptions(F,A);CHKERRQ(ierr);
1494 
1495   ierr = (*mumps->ConvertToTriples)(A, 1, MAT_INITIAL_MATRIX, &mumps->nz, &mumps->irn, &mumps->jcn, &mumps->val);CHKERRQ(ierr);
1496 
1497   /* analysis phase */
1498   /*----------------*/
1499   mumps->id.job = JOB_FACTSYMBOLIC;
1500   mumps->id.n   = M;
1501   switch (mumps->id.ICNTL(18)) {
1502   case 0:  /* centralized assembled matrix input */
1503     if (!mumps->myid) {
1504       mumps->id.nz =mumps->nz; mumps->id.irn=mumps->irn; mumps->id.jcn=mumps->jcn;
1505       if (mumps->id.ICNTL(6)>1) {
1506         mumps->id.a = (MumpsScalar*)mumps->val;
1507       }
1508     }
1509     break;
1510   case 3:  /* distributed assembled matrix input (size>1) */
1511     mumps->id.nz_loc = mumps->nz;
1512     mumps->id.irn_loc=mumps->irn; mumps->id.jcn_loc=mumps->jcn;
1513     if (mumps->id.ICNTL(6)>1) {
1514       mumps->id.a_loc = (MumpsScalar*)mumps->val;
1515     }
1516     /* MUMPS only supports centralized rhs. Create scatter scat_rhs for repeated use in MatSolve() */
1517     if (!mumps->myid) {
1518       ierr = VecCreateSeq(PETSC_COMM_SELF,A->cmap->N,&mumps->b_seq);CHKERRQ(ierr);
1519       ierr = ISCreateStride(PETSC_COMM_SELF,A->cmap->N,0,1,&is_iden);CHKERRQ(ierr);
1520     } else {
1521       ierr = VecCreateSeq(PETSC_COMM_SELF,0,&mumps->b_seq);CHKERRQ(ierr);
1522       ierr = ISCreateStride(PETSC_COMM_SELF,0,0,1,&is_iden);CHKERRQ(ierr);
1523     }
1524     ierr = MatCreateVecs(A,NULL,&b);CHKERRQ(ierr);
1525     ierr = VecScatterCreate(b,is_iden,mumps->b_seq,is_iden,&mumps->scat_rhs);CHKERRQ(ierr);
1526     ierr = ISDestroy(&is_iden);CHKERRQ(ierr);
1527     ierr = VecDestroy(&b);CHKERRQ(ierr);
1528     break;
1529   }
1530   PetscMUMPS_c(&mumps->id);
1531   if (mumps->id.INFOG(1) < 0) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error reported by MUMPS in analysis phase: INFOG(1)=%d\n",mumps->id.INFOG(1));
1532 
1533   F->ops->choleskyfactornumeric = MatFactorNumeric_MUMPS;
1534   F->ops->solve                 = MatSolve_MUMPS;
1535   F->ops->solvetranspose        = MatSolve_MUMPS;
1536   F->ops->matsolve              = MatMatSolve_MUMPS;
1537 #if defined(PETSC_USE_COMPLEX)
1538   F->ops->getinertia = NULL;
1539 #else
1540   F->ops->getinertia = MatGetInertia_SBAIJMUMPS;
1541 #endif
1542   PetscFunctionReturn(0);
1543 }
1544 
1545 #undef __FUNCT__
1546 #define __FUNCT__ "MatView_MUMPS"
1547 PetscErrorCode MatView_MUMPS(Mat A,PetscViewer viewer)
1548 {
1549   PetscErrorCode    ierr;
1550   PetscBool         iascii;
1551   PetscViewerFormat format;
1552   Mat_MUMPS         *mumps=(Mat_MUMPS*)A->spptr;
1553 
1554   PetscFunctionBegin;
1555   /* check if matrix is mumps type */
1556   if (A->ops->solve != MatSolve_MUMPS) PetscFunctionReturn(0);
1557 
1558   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&iascii);CHKERRQ(ierr);
1559   if (iascii) {
1560     ierr = PetscViewerGetFormat(viewer,&format);CHKERRQ(ierr);
1561     if (format == PETSC_VIEWER_ASCII_INFO) {
1562       ierr = PetscViewerASCIIPrintf(viewer,"MUMPS run parameters:\n");CHKERRQ(ierr);
1563       ierr = PetscViewerASCIIPrintf(viewer,"  SYM (matrix type):                   %d \n",mumps->id.sym);CHKERRQ(ierr);
1564       ierr = PetscViewerASCIIPrintf(viewer,"  PAR (host participation):            %d \n",mumps->id.par);CHKERRQ(ierr);
1565       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(1) (output for error):         %d \n",mumps->id.ICNTL(1));CHKERRQ(ierr);
1566       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(2) (output of diagnostic msg): %d \n",mumps->id.ICNTL(2));CHKERRQ(ierr);
1567       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(3) (output for global info):   %d \n",mumps->id.ICNTL(3));CHKERRQ(ierr);
1568       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(4) (level of printing):        %d \n",mumps->id.ICNTL(4));CHKERRQ(ierr);
1569       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(5) (input mat struct):         %d \n",mumps->id.ICNTL(5));CHKERRQ(ierr);
1570       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(6) (matrix prescaling):        %d \n",mumps->id.ICNTL(6));CHKERRQ(ierr);
1571       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(7) (sequentia matrix ordering):%d \n",mumps->id.ICNTL(7));CHKERRQ(ierr);
1572       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(8) (scalling strategy):        %d \n",mumps->id.ICNTL(8));CHKERRQ(ierr);
1573       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(10) (max num of refinements):  %d \n",mumps->id.ICNTL(10));CHKERRQ(ierr);
1574       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(11) (error analysis):          %d \n",mumps->id.ICNTL(11));CHKERRQ(ierr);
1575       if (mumps->id.ICNTL(11)>0) {
1576         ierr = PetscViewerASCIIPrintf(viewer,"    RINFOG(4) (inf norm of input mat):        %g\n",mumps->id.RINFOG(4));CHKERRQ(ierr);
1577         ierr = PetscViewerASCIIPrintf(viewer,"    RINFOG(5) (inf norm of solution):         %g\n",mumps->id.RINFOG(5));CHKERRQ(ierr);
1578         ierr = PetscViewerASCIIPrintf(viewer,"    RINFOG(6) (inf norm of residual):         %g\n",mumps->id.RINFOG(6));CHKERRQ(ierr);
1579         ierr = PetscViewerASCIIPrintf(viewer,"    RINFOG(7),RINFOG(8) (backward error est): %g, %g\n",mumps->id.RINFOG(7),mumps->id.RINFOG(8));CHKERRQ(ierr);
1580         ierr = PetscViewerASCIIPrintf(viewer,"    RINFOG(9) (error estimate):               %g \n",mumps->id.RINFOG(9));CHKERRQ(ierr);
1581         ierr = PetscViewerASCIIPrintf(viewer,"    RINFOG(10),RINFOG(11)(condition numbers): %g, %g\n",mumps->id.RINFOG(10),mumps->id.RINFOG(11));CHKERRQ(ierr);
1582       }
1583       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(12) (efficiency control):                         %d \n",mumps->id.ICNTL(12));CHKERRQ(ierr);
1584       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(13) (efficiency control):                         %d \n",mumps->id.ICNTL(13));CHKERRQ(ierr);
1585       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(14) (percentage of estimated workspace increase): %d \n",mumps->id.ICNTL(14));CHKERRQ(ierr);
1586       /* ICNTL(15-17) not used */
1587       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(18) (input mat struct):                           %d \n",mumps->id.ICNTL(18));CHKERRQ(ierr);
1588       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(19) (Shur complement info):                       %d \n",mumps->id.ICNTL(19));CHKERRQ(ierr);
1589       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(20) (rhs sparse pattern):                         %d \n",mumps->id.ICNTL(20));CHKERRQ(ierr);
1590       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(21) (solution struct):                            %d \n",mumps->id.ICNTL(21));CHKERRQ(ierr);
1591       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(22) (in-core/out-of-core facility):               %d \n",mumps->id.ICNTL(22));CHKERRQ(ierr);
1592       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(23) (max size of memory can be allocated locally):%d \n",mumps->id.ICNTL(23));CHKERRQ(ierr);
1593 
1594       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(24) (detection of null pivot rows):               %d \n",mumps->id.ICNTL(24));CHKERRQ(ierr);
1595       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(25) (computation of a null space basis):          %d \n",mumps->id.ICNTL(25));CHKERRQ(ierr);
1596       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(26) (Schur options for rhs or solution):          %d \n",mumps->id.ICNTL(26));CHKERRQ(ierr);
1597       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(27) (experimental parameter):                     %d \n",mumps->id.ICNTL(27));CHKERRQ(ierr);
1598       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(28) (use parallel or sequential ordering):        %d \n",mumps->id.ICNTL(28));CHKERRQ(ierr);
1599       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(29) (parallel ordering):                          %d \n",mumps->id.ICNTL(29));CHKERRQ(ierr);
1600 
1601       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(30) (user-specified set of entries in inv(A)):    %d \n",mumps->id.ICNTL(30));CHKERRQ(ierr);
1602       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(31) (factors is discarded in the solve phase):    %d \n",mumps->id.ICNTL(31));CHKERRQ(ierr);
1603       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(33) (compute determinant):                        %d \n",mumps->id.ICNTL(33));CHKERRQ(ierr);
1604 
1605       ierr = PetscViewerASCIIPrintf(viewer,"  CNTL(1) (relative pivoting threshold):      %g \n",mumps->id.CNTL(1));CHKERRQ(ierr);
1606       ierr = PetscViewerASCIIPrintf(viewer,"  CNTL(2) (stopping criterion of refinement): %g \n",mumps->id.CNTL(2));CHKERRQ(ierr);
1607       ierr = PetscViewerASCIIPrintf(viewer,"  CNTL(3) (absolute pivoting threshold):      %g \n",mumps->id.CNTL(3));CHKERRQ(ierr);
1608       ierr = PetscViewerASCIIPrintf(viewer,"  CNTL(4) (value of static pivoting):         %g \n",mumps->id.CNTL(4));CHKERRQ(ierr);
1609       ierr = PetscViewerASCIIPrintf(viewer,"  CNTL(5) (fixation for null pivots):         %g \n",mumps->id.CNTL(5));CHKERRQ(ierr);
1610 
1611       /* infomation local to each processor */
1612       ierr = PetscViewerASCIIPrintf(viewer, "  RINFO(1) (local estimated flops for the elimination after analysis): \n");CHKERRQ(ierr);
1613       ierr = PetscViewerASCIIPushSynchronized(viewer);CHKERRQ(ierr);
1614       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"    [%d] %g \n",mumps->myid,mumps->id.RINFO(1));CHKERRQ(ierr);
1615       ierr = PetscViewerFlush(viewer);
1616       ierr = PetscViewerASCIIPrintf(viewer, "  RINFO(2) (local estimated flops for the assembly after factorization): \n");CHKERRQ(ierr);
1617       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"    [%d]  %g \n",mumps->myid,mumps->id.RINFO(2));CHKERRQ(ierr);
1618       ierr = PetscViewerFlush(viewer);
1619       ierr = PetscViewerASCIIPrintf(viewer, "  RINFO(3) (local estimated flops for the elimination after factorization): \n");CHKERRQ(ierr);
1620       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"    [%d]  %g \n",mumps->myid,mumps->id.RINFO(3));CHKERRQ(ierr);
1621       ierr = PetscViewerFlush(viewer);
1622 
1623       ierr = PetscViewerASCIIPrintf(viewer, "  INFO(15) (estimated size of (in MB) MUMPS internal data for running numerical factorization): \n");CHKERRQ(ierr);
1624       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"  [%d] %d \n",mumps->myid,mumps->id.INFO(15));CHKERRQ(ierr);
1625       ierr = PetscViewerFlush(viewer);
1626 
1627       ierr = PetscViewerASCIIPrintf(viewer, "  INFO(16) (size of (in MB) MUMPS internal data used during numerical factorization): \n");CHKERRQ(ierr);
1628       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"    [%d] %d \n",mumps->myid,mumps->id.INFO(16));CHKERRQ(ierr);
1629       ierr = PetscViewerFlush(viewer);
1630 
1631       ierr = PetscViewerASCIIPrintf(viewer, "  INFO(23) (num of pivots eliminated on this processor after factorization): \n");CHKERRQ(ierr);
1632       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"    [%d] %d \n",mumps->myid,mumps->id.INFO(23));CHKERRQ(ierr);
1633       ierr = PetscViewerFlush(viewer);
1634 
1635       if (mumps->ninfo && mumps->ninfo <= 40){
1636         PetscInt i;
1637         for (i=0; i<mumps->ninfo; i++){
1638           ierr = PetscViewerASCIIPrintf(viewer, "  INFO(%d): \n",mumps->info[i]);CHKERRQ(ierr);
1639           ierr = PetscViewerASCIISynchronizedPrintf(viewer,"    [%d] %d \n",mumps->myid,mumps->id.INFO(mumps->info[i]));CHKERRQ(ierr);
1640           ierr = PetscViewerFlush(viewer);
1641         }
1642       }
1643 
1644 
1645       ierr = PetscViewerASCIIPopSynchronized(viewer);CHKERRQ(ierr);
1646 
1647       if (!mumps->myid) { /* information from the host */
1648         ierr = PetscViewerASCIIPrintf(viewer,"  RINFOG(1) (global estimated flops for the elimination after analysis): %g \n",mumps->id.RINFOG(1));CHKERRQ(ierr);
1649         ierr = PetscViewerASCIIPrintf(viewer,"  RINFOG(2) (global estimated flops for the assembly after factorization): %g \n",mumps->id.RINFOG(2));CHKERRQ(ierr);
1650         ierr = PetscViewerASCIIPrintf(viewer,"  RINFOG(3) (global estimated flops for the elimination after factorization): %g \n",mumps->id.RINFOG(3));CHKERRQ(ierr);
1651         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);
1652 
1653         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(3) (estimated real workspace for factors on all processors after analysis): %d \n",mumps->id.INFOG(3));CHKERRQ(ierr);
1654         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(4) (estimated integer workspace for factors on all processors after analysis): %d \n",mumps->id.INFOG(4));CHKERRQ(ierr);
1655         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(5) (estimated maximum front size in the complete tree): %d \n",mumps->id.INFOG(5));CHKERRQ(ierr);
1656         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(6) (number of nodes in the complete tree): %d \n",mumps->id.INFOG(6));CHKERRQ(ierr);
1657         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(7) (ordering option effectively use after analysis): %d \n",mumps->id.INFOG(7));CHKERRQ(ierr);
1658         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(8) (structural symmetry in percent of the permuted matrix after analysis): %d \n",mumps->id.INFOG(8));CHKERRQ(ierr);
1659         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(9) (total real/complex workspace to store the matrix factors after factorization): %d \n",mumps->id.INFOG(9));CHKERRQ(ierr);
1660         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(10) (total integer space store the matrix factors after factorization): %d \n",mumps->id.INFOG(10));CHKERRQ(ierr);
1661         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(11) (order of largest frontal matrix after factorization): %d \n",mumps->id.INFOG(11));CHKERRQ(ierr);
1662         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(12) (number of off-diagonal pivots): %d \n",mumps->id.INFOG(12));CHKERRQ(ierr);
1663         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(13) (number of delayed pivots after factorization): %d \n",mumps->id.INFOG(13));CHKERRQ(ierr);
1664         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(14) (number of memory compress after factorization): %d \n",mumps->id.INFOG(14));CHKERRQ(ierr);
1665         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(15) (number of steps of iterative refinement after solution): %d \n",mumps->id.INFOG(15));CHKERRQ(ierr);
1666         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);
1667         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);
1668         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);
1669         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);
1670         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(20) (estimated number of entries in the factors): %d \n",mumps->id.INFOG(20));CHKERRQ(ierr);
1671         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);
1672         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);
1673         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(23) (after analysis: value of ICNTL(6) effectively used): %d \n",mumps->id.INFOG(23));CHKERRQ(ierr);
1674         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(24) (after analysis: value of ICNTL(12) effectively used): %d \n",mumps->id.INFOG(24));CHKERRQ(ierr);
1675         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(25) (after factorization: number of pivots modified by static pivoting): %d \n",mumps->id.INFOG(25));CHKERRQ(ierr);
1676         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(28) (after factorization: number of null pivots encountered): %d\n",mumps->id.INFOG(28));CHKERRQ(ierr);
1677         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);
1678         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);
1679         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(32) (after analysis: type of analysis done): %d\n",mumps->id.INFOG(32));CHKERRQ(ierr);
1680         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(33) (value used for ICNTL(8)): %d\n",mumps->id.INFOG(33));CHKERRQ(ierr);
1681         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(34) (exponent of the determinant if determinant is requested): %d\n",mumps->id.INFOG(34));CHKERRQ(ierr);
1682       }
1683     }
1684   }
1685   PetscFunctionReturn(0);
1686 }
1687 
1688 #undef __FUNCT__
1689 #define __FUNCT__ "MatGetInfo_MUMPS"
1690 PetscErrorCode MatGetInfo_MUMPS(Mat A,MatInfoType flag,MatInfo *info)
1691 {
1692   Mat_MUMPS *mumps =(Mat_MUMPS*)A->spptr;
1693 
1694   PetscFunctionBegin;
1695   info->block_size        = 1.0;
1696   info->nz_allocated      = mumps->id.INFOG(20);
1697   info->nz_used           = mumps->id.INFOG(20);
1698   info->nz_unneeded       = 0.0;
1699   info->assemblies        = 0.0;
1700   info->mallocs           = 0.0;
1701   info->memory            = 0.0;
1702   info->fill_ratio_given  = 0;
1703   info->fill_ratio_needed = 0;
1704   info->factor_mallocs    = 0;
1705   PetscFunctionReturn(0);
1706 }
1707 
1708 /* -------------------------------------------------------------------------------------------*/
1709 #undef __FUNCT__
1710 #define __FUNCT__ "MatFactorSetSchurIS_MUMPS"
1711 PetscErrorCode MatFactorSetSchurIS_MUMPS(Mat F, IS is)
1712 {
1713   Mat_MUMPS      *mumps =(Mat_MUMPS*)F->spptr;
1714   const PetscInt *idxs;
1715   PetscInt       size,i;
1716   PetscErrorCode ierr;
1717 
1718   PetscFunctionBegin;
1719   if (mumps->size > 1) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"MUMPS parallel Schur complements not yet supported from PETSc\n");
1720   ierr = ISGetLocalSize(is,&size);CHKERRQ(ierr);
1721   if (mumps->id.size_schur != size) {
1722     ierr = PetscFree2(mumps->id.listvar_schur,mumps->id.schur);CHKERRQ(ierr);
1723     mumps->id.size_schur = size;
1724     mumps->id.schur_lld = size;
1725     ierr = PetscMalloc2(size,&mumps->id.listvar_schur,size*size,&mumps->id.schur);CHKERRQ(ierr);
1726   }
1727   ierr = ISGetIndices(is,&idxs);CHKERRQ(ierr);
1728   ierr = PetscMemcpy(mumps->id.listvar_schur,idxs,size*sizeof(PetscInt));CHKERRQ(ierr);
1729   /* MUMPS expects Fortran style indices */
1730   for (i=0;i<size;i++) mumps->id.listvar_schur[i]++;
1731   ierr = ISRestoreIndices(is,&idxs);CHKERRQ(ierr);
1732   if (F->factortype == MAT_FACTOR_LU) {
1733     mumps->id.ICNTL(19) = 3; /* MUMPS returns full matrix */
1734   } else {
1735     mumps->id.ICNTL(19) = 2; /* MUMPS returns lower triangular part */
1736   }
1737   /* set a special value of ICNTL (not handled my MUMPS) to be used in the solve phase by PETSc */
1738   mumps->id.ICNTL(26) = -1;
1739   PetscFunctionReturn(0);
1740 }
1741 
1742 /* -------------------------------------------------------------------------------------------*/
1743 #undef __FUNCT__
1744 #define __FUNCT__ "MatFactorCreateSchurComplement_MUMPS"
1745 PetscErrorCode MatFactorCreateSchurComplement_MUMPS(Mat F,Mat* S)
1746 {
1747   Mat            St;
1748   Mat_MUMPS      *mumps =(Mat_MUMPS*)F->spptr;
1749   PetscScalar    *array;
1750 #if defined(PETSC_USE_COMPLEX)
1751   PetscScalar    im = PetscSqrtScalar((PetscScalar)-1.0);
1752 #endif
1753   PetscErrorCode ierr;
1754 
1755   PetscFunctionBegin;
1756   if (!mumps->id.ICNTL(19)) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur complement mode not selected! You should call MatFactorSetSchurIS to enable it");
1757   else if (!mumps->id.size_schur) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur indices not set! You should call MatFactorSetSchurIS before");
1758   else if (!mumps->schur_restored) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur matrix has not been restored using MatFactorRestoreSchurComplement");
1759 
1760   ierr = MatCreate(PetscObjectComm((PetscObject)F),&St);CHKERRQ(ierr);
1761   ierr = MatSetSizes(St,PETSC_DECIDE,PETSC_DECIDE,mumps->id.size_schur,mumps->id.size_schur);CHKERRQ(ierr);
1762   ierr = MatSetType(St,MATDENSE);CHKERRQ(ierr);
1763   ierr = MatSetUp(St);CHKERRQ(ierr);
1764   ierr = MatDenseGetArray(St,&array);CHKERRQ(ierr);
1765   if (!mumps->sym) { /* MUMPS always return a full matrix */
1766     if (mumps->id.ICNTL(19) == 1) { /* stored by rows */
1767       PetscInt i,j,N=mumps->id.size_schur;
1768       for (i=0;i<N;i++) {
1769         for (j=0;j<N;j++) {
1770 #if !defined(PETSC_USE_COMPLEX)
1771           PetscScalar val = mumps->id.schur[i*N+j];
1772 #else
1773           PetscScalar val = mumps->id.schur[i*N+j].r + im*mumps->id.schur[i*N+j].i;
1774 #endif
1775           array[j*N+i] = val;
1776         }
1777       }
1778     } else { /* stored by columns */
1779       ierr = PetscMemcpy(array,mumps->id.schur,mumps->id.size_schur*mumps->id.size_schur*sizeof(PetscScalar));CHKERRQ(ierr);
1780     }
1781   } else { /* either full or lower-triangular (not packed) */
1782     if (mumps->id.ICNTL(19) == 2) { /* lower triangular stored by columns */
1783       PetscInt i,j,N=mumps->id.size_schur;
1784       for (i=0;i<N;i++) {
1785         for (j=i;j<N;j++) {
1786 #if !defined(PETSC_USE_COMPLEX)
1787           PetscScalar val = mumps->id.schur[i*N+j];
1788 #else
1789           PetscScalar val = mumps->id.schur[i*N+j].r + im*mumps->id.schur[i*N+j].i;
1790 #endif
1791           array[i*N+j] = val;
1792           array[j*N+i] = val;
1793         }
1794       }
1795     } else if (mumps->id.ICNTL(19) == 3) { /* full matrix */
1796       ierr = PetscMemcpy(array,mumps->id.schur,mumps->id.size_schur*mumps->id.size_schur*sizeof(PetscScalar));CHKERRQ(ierr);
1797     } else { /* ICNTL(19) == 1 lower triangular stored by rows */
1798       PetscInt i,j,N=mumps->id.size_schur;
1799       for (i=0;i<N;i++) {
1800         for (j=0;j<i+1;j++) {
1801 #if !defined(PETSC_USE_COMPLEX)
1802           PetscScalar val = mumps->id.schur[i*N+j];
1803 #else
1804           PetscScalar val = mumps->id.schur[i*N+j].r + im*mumps->id.schur[i*N+j].i;
1805 #endif
1806           array[i*N+j] = val;
1807           array[j*N+i] = val;
1808         }
1809       }
1810     }
1811   }
1812   ierr = MatDenseRestoreArray(St,&array);CHKERRQ(ierr);
1813   *S = St;
1814   PetscFunctionReturn(0);
1815 }
1816 
1817 /* -------------------------------------------------------------------------------------------*/
1818 #undef __FUNCT__
1819 #define __FUNCT__ "MatFactorGetSchurComplement_MUMPS"
1820 PetscErrorCode MatFactorGetSchurComplement_MUMPS(Mat F,Mat* S)
1821 {
1822   Mat            St;
1823   Mat_MUMPS      *mumps =(Mat_MUMPS*)F->spptr;
1824   PetscErrorCode ierr;
1825 
1826   PetscFunctionBegin;
1827   if (!mumps->id.ICNTL(19)) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur complement mode not selected! You should call MatFactorSetSchurIS to enable it");
1828   else if (!mumps->id.size_schur) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur indices not set! You should call MatFactorSetSchurIS before");
1829   else if (!mumps->schur_restored) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur matrix has not been restored using MatFactorRestoreSchurComplement");
1830 
1831   /* It should be the responsibility of the user to handle different ICNTL(19) cases if they want to work with the raw data */
1832   /* should I also add errors when the Schur complement has been already factored? */
1833   ierr = MatCreateSeqDense(PetscObjectComm((PetscObject)F),mumps->id.size_schur,mumps->id.size_schur,(PetscScalar*)mumps->id.schur,&St);CHKERRQ(ierr);
1834   *S = St;
1835   mumps->schur_restored = PETSC_FALSE;
1836   PetscFunctionReturn(0);
1837 }
1838 
1839 /* -------------------------------------------------------------------------------------------*/
1840 #undef __FUNCT__
1841 #define __FUNCT__ "MatFactorRestoreSchurComplement_MUMPS"
1842 PetscErrorCode MatFactorRestoreSchurComplement_MUMPS(Mat F,Mat* S)
1843 {
1844   Mat_MUMPS      *mumps =(Mat_MUMPS*)F->spptr;
1845   PetscErrorCode ierr;
1846 
1847   PetscFunctionBegin;
1848   if (!mumps->id.ICNTL(19)) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur complement mode not selected! You should call MatFactorSetSchurIS to enable it");
1849   else if (!mumps->id.size_schur) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur indices not set! You should call MatFactorSetSchurIS before");
1850   else if (mumps->schur_restored) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur matrix has been already restored");
1851   ierr = MatDestroy(S);CHKERRQ(ierr);
1852   *S = NULL;
1853   mumps->schur_restored = PETSC_TRUE;
1854   PetscFunctionReturn(0);
1855 }
1856 
1857 /* -------------------------------------------------------------------------------------------*/
1858 #undef __FUNCT__
1859 #define __FUNCT__ "MatFactorInvertSchurComplement_MUMPS"
1860 PetscErrorCode MatFactorInvertSchurComplement_MUMPS(Mat F)
1861 {
1862   Mat_MUMPS      *mumps =(Mat_MUMPS*)F->spptr;
1863   PetscErrorCode ierr;
1864 
1865   PetscFunctionBegin;
1866   if (!mumps->id.ICNTL(19)) { /* do nothing */
1867     PetscFunctionReturn(0);
1868   }
1869   if (!mumps->id.size_schur) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur indices not set! You should call MatFactorSetSchurIS before");
1870   else if (!mumps->schur_restored) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur matrix has not been restored using MatFactorRestoreSchurComplement");
1871   ierr = MatMumpsInvertSchur_Private(mumps);CHKERRQ(ierr);
1872   PetscFunctionReturn(0);
1873 }
1874 
1875 /* -------------------------------------------------------------------------------------------*/
1876 #undef __FUNCT__
1877 #define __FUNCT__ "MatFactorSolveSchurComplement_MUMPS"
1878 PetscErrorCode MatFactorSolveSchurComplement_MUMPS(Mat F, Vec rhs, Vec sol)
1879 {
1880   Mat_MUMPS      *mumps =(Mat_MUMPS*)F->spptr;
1881   MumpsScalar    *orhs;
1882   PetscScalar    *osol,*nrhs,*nsol;
1883   PetscInt       orhs_size,osol_size,olrhs_size;
1884   PetscErrorCode ierr;
1885 
1886   PetscFunctionBegin;
1887   if (!mumps->id.ICNTL(19)) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur complement mode not selected! You should call MatFactorSetSchurIS to enable it");
1888   if (!mumps->id.size_schur) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur indices not set! You should call MatFactorSetSchurIS before");
1889   else if (!mumps->schur_restored) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur matrix has not been restored using MatFactorRestoreSchurComplement");
1890 
1891   /* swap pointers */
1892   orhs = mumps->id.redrhs;
1893   olrhs_size = mumps->id.lredrhs;
1894   orhs_size = mumps->sizeredrhs;
1895   osol = mumps->schur_sol;
1896   osol_size = mumps->schur_sizesol;
1897   ierr = VecGetArray(rhs,&nrhs);CHKERRQ(ierr);
1898   ierr = VecGetArray(sol,&nsol);CHKERRQ(ierr);
1899   mumps->id.redrhs = (MumpsScalar*)nrhs;
1900   ierr = VecGetLocalSize(rhs,&mumps->sizeredrhs);CHKERRQ(ierr);
1901   mumps->id.lredrhs = mumps->sizeredrhs;
1902   mumps->schur_sol = nsol;
1903   ierr = VecGetLocalSize(sol,&mumps->schur_sizesol);CHKERRQ(ierr);
1904 
1905   /* solve Schur complement */
1906   mumps->id.nrhs = 1;
1907   ierr = MatMumpsSolveSchur_Private(mumps,PETSC_FALSE);CHKERRQ(ierr);
1908   /* restore pointers */
1909   ierr = VecRestoreArray(rhs,&nrhs);CHKERRQ(ierr);
1910   ierr = VecRestoreArray(sol,&nsol);CHKERRQ(ierr);
1911   mumps->id.redrhs = orhs;
1912   mumps->id.lredrhs = olrhs_size;
1913   mumps->sizeredrhs = orhs_size;
1914   mumps->schur_sol = osol;
1915   mumps->schur_sizesol = osol_size;
1916   PetscFunctionReturn(0);
1917 }
1918 
1919 /* -------------------------------------------------------------------------------------------*/
1920 #undef __FUNCT__
1921 #define __FUNCT__ "MatFactorSolveSchurComplementTranspose_MUMPS"
1922 PetscErrorCode MatFactorSolveSchurComplementTranspose_MUMPS(Mat F, Vec rhs, Vec sol)
1923 {
1924   Mat_MUMPS      *mumps =(Mat_MUMPS*)F->spptr;
1925   MumpsScalar    *orhs;
1926   PetscScalar    *osol,*nrhs,*nsol;
1927   PetscInt       orhs_size,osol_size;
1928   PetscErrorCode ierr;
1929 
1930   PetscFunctionBegin;
1931   if (!mumps->id.ICNTL(19)) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur complement mode not selected! You should call MatFactorSetSchurIS to enable it");
1932   else if (!mumps->id.size_schur) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur indices not set! You should call MatFactorSetSchurIS before");
1933   if (!mumps->schur_restored) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur matrix has not been restored using MatFactorRestoreSchurComplement");
1934 
1935   /* swap pointers */
1936   orhs = mumps->id.redrhs;
1937   orhs_size = mumps->sizeredrhs;
1938   osol = mumps->schur_sol;
1939   osol_size = mumps->schur_sizesol;
1940   ierr = VecGetArray(rhs,&nrhs);CHKERRQ(ierr);
1941   ierr = VecGetArray(sol,&nsol);CHKERRQ(ierr);
1942   mumps->id.redrhs = (MumpsScalar*)nrhs;
1943   ierr = VecGetLocalSize(rhs,&mumps->sizeredrhs);CHKERRQ(ierr);
1944   mumps->schur_sol = nsol;
1945   ierr = VecGetLocalSize(sol,&mumps->schur_sizesol);CHKERRQ(ierr);
1946 
1947   /* solve Schur complement */
1948   mumps->id.nrhs = 1;
1949   mumps->id.ICNTL(9) = 0;
1950   ierr = MatMumpsSolveSchur_Private(mumps,PETSC_FALSE);CHKERRQ(ierr);
1951   mumps->id.ICNTL(9) = 1;
1952   /* restore pointers */
1953   ierr = VecRestoreArray(rhs,&nrhs);CHKERRQ(ierr);
1954   ierr = VecRestoreArray(sol,&nsol);CHKERRQ(ierr);
1955   mumps->id.redrhs = orhs;
1956   mumps->sizeredrhs = orhs_size;
1957   mumps->schur_sol = osol;
1958   mumps->schur_sizesol = osol_size;
1959   PetscFunctionReturn(0);
1960 }
1961 
1962 /* -------------------------------------------------------------------------------------------*/
1963 #undef __FUNCT__
1964 #define __FUNCT__ "MatMumpsSetIcntl_MUMPS"
1965 PetscErrorCode MatMumpsSetIcntl_MUMPS(Mat F,PetscInt icntl,PetscInt ival)
1966 {
1967   Mat_MUMPS *mumps =(Mat_MUMPS*)F->spptr;
1968 
1969   PetscFunctionBegin;
1970   mumps->id.ICNTL(icntl) = ival;
1971   PetscFunctionReturn(0);
1972 }
1973 
1974 #undef __FUNCT__
1975 #define __FUNCT__ "MatMumpsGetIcntl_MUMPS"
1976 PetscErrorCode MatMumpsGetIcntl_MUMPS(Mat F,PetscInt icntl,PetscInt *ival)
1977 {
1978   Mat_MUMPS *mumps =(Mat_MUMPS*)F->spptr;
1979 
1980   PetscFunctionBegin;
1981   *ival = mumps->id.ICNTL(icntl);
1982   PetscFunctionReturn(0);
1983 }
1984 
1985 #undef __FUNCT__
1986 #define __FUNCT__ "MatMumpsSetIcntl"
1987 /*@
1988   MatMumpsSetIcntl - Set MUMPS parameter ICNTL()
1989 
1990    Logically Collective on Mat
1991 
1992    Input Parameters:
1993 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
1994 .  icntl - index of MUMPS parameter array ICNTL()
1995 -  ival - value of MUMPS ICNTL(icntl)
1996 
1997   Options Database:
1998 .   -mat_mumps_icntl_<icntl> <ival>
1999 
2000    Level: beginner
2001 
2002    References: MUMPS Users' Guide
2003 
2004 .seealso: MatGetFactor()
2005 @*/
2006 PetscErrorCode MatMumpsSetIcntl(Mat F,PetscInt icntl,PetscInt ival)
2007 {
2008   PetscErrorCode ierr;
2009 
2010   PetscFunctionBegin;
2011   PetscValidLogicalCollectiveInt(F,icntl,2);
2012   PetscValidLogicalCollectiveInt(F,ival,3);
2013   ierr = PetscTryMethod(F,"MatMumpsSetIcntl_C",(Mat,PetscInt,PetscInt),(F,icntl,ival));CHKERRQ(ierr);
2014   PetscFunctionReturn(0);
2015 }
2016 
2017 #undef __FUNCT__
2018 #define __FUNCT__ "MatMumpsGetIcntl"
2019 /*@
2020   MatMumpsGetIcntl - Get MUMPS parameter ICNTL()
2021 
2022    Logically Collective on Mat
2023 
2024    Input Parameters:
2025 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
2026 -  icntl - index of MUMPS parameter array ICNTL()
2027 
2028   Output Parameter:
2029 .  ival - value of MUMPS ICNTL(icntl)
2030 
2031    Level: beginner
2032 
2033    References: MUMPS Users' Guide
2034 
2035 .seealso: MatGetFactor()
2036 @*/
2037 PetscErrorCode MatMumpsGetIcntl(Mat F,PetscInt icntl,PetscInt *ival)
2038 {
2039   PetscErrorCode ierr;
2040 
2041   PetscFunctionBegin;
2042   PetscValidLogicalCollectiveInt(F,icntl,2);
2043   PetscValidIntPointer(ival,3);
2044   ierr = PetscTryMethod(F,"MatMumpsGetIcntl_C",(Mat,PetscInt,PetscInt*),(F,icntl,ival));CHKERRQ(ierr);
2045   PetscFunctionReturn(0);
2046 }
2047 
2048 /* -------------------------------------------------------------------------------------------*/
2049 #undef __FUNCT__
2050 #define __FUNCT__ "MatMumpsSetCntl_MUMPS"
2051 PetscErrorCode MatMumpsSetCntl_MUMPS(Mat F,PetscInt icntl,PetscReal val)
2052 {
2053   Mat_MUMPS *mumps =(Mat_MUMPS*)F->spptr;
2054 
2055   PetscFunctionBegin;
2056   mumps->id.CNTL(icntl) = val;
2057   PetscFunctionReturn(0);
2058 }
2059 
2060 #undef __FUNCT__
2061 #define __FUNCT__ "MatMumpsGetCntl_MUMPS"
2062 PetscErrorCode MatMumpsGetCntl_MUMPS(Mat F,PetscInt icntl,PetscReal *val)
2063 {
2064   Mat_MUMPS *mumps =(Mat_MUMPS*)F->spptr;
2065 
2066   PetscFunctionBegin;
2067   *val = mumps->id.CNTL(icntl);
2068   PetscFunctionReturn(0);
2069 }
2070 
2071 #undef __FUNCT__
2072 #define __FUNCT__ "MatMumpsSetCntl"
2073 /*@
2074   MatMumpsSetCntl - Set MUMPS parameter CNTL()
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 CNTL()
2081 -  val - value of MUMPS CNTL(icntl)
2082 
2083   Options Database:
2084 .   -mat_mumps_cntl_<icntl> <val>
2085 
2086    Level: beginner
2087 
2088    References: MUMPS Users' Guide
2089 
2090 .seealso: MatGetFactor()
2091 @*/
2092 PetscErrorCode MatMumpsSetCntl(Mat F,PetscInt icntl,PetscReal val)
2093 {
2094   PetscErrorCode ierr;
2095 
2096   PetscFunctionBegin;
2097   PetscValidLogicalCollectiveInt(F,icntl,2);
2098   PetscValidLogicalCollectiveReal(F,val,3);
2099   ierr = PetscTryMethod(F,"MatMumpsSetCntl_C",(Mat,PetscInt,PetscReal),(F,icntl,val));CHKERRQ(ierr);
2100   PetscFunctionReturn(0);
2101 }
2102 
2103 #undef __FUNCT__
2104 #define __FUNCT__ "MatMumpsGetCntl"
2105 /*@
2106   MatMumpsGetCntl - Get MUMPS parameter CNTL()
2107 
2108    Logically Collective on Mat
2109 
2110    Input Parameters:
2111 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
2112 -  icntl - index of MUMPS parameter array CNTL()
2113 
2114   Output Parameter:
2115 .  val - value of MUMPS CNTL(icntl)
2116 
2117    Level: beginner
2118 
2119    References: MUMPS Users' Guide
2120 
2121 .seealso: MatGetFactor()
2122 @*/
2123 PetscErrorCode MatMumpsGetCntl(Mat F,PetscInt icntl,PetscReal *val)
2124 {
2125   PetscErrorCode ierr;
2126 
2127   PetscFunctionBegin;
2128   PetscValidLogicalCollectiveInt(F,icntl,2);
2129   PetscValidRealPointer(val,3);
2130   ierr = PetscTryMethod(F,"MatMumpsGetCntl_C",(Mat,PetscInt,PetscReal*),(F,icntl,val));CHKERRQ(ierr);
2131   PetscFunctionReturn(0);
2132 }
2133 
2134 #undef __FUNCT__
2135 #define __FUNCT__ "MatMumpsGetInfo_MUMPS"
2136 PetscErrorCode MatMumpsGetInfo_MUMPS(Mat F,PetscInt icntl,PetscInt *info)
2137 {
2138   Mat_MUMPS *mumps =(Mat_MUMPS*)F->spptr;
2139 
2140   PetscFunctionBegin;
2141   *info = mumps->id.INFO(icntl);
2142   PetscFunctionReturn(0);
2143 }
2144 
2145 #undef __FUNCT__
2146 #define __FUNCT__ "MatMumpsGetInfog_MUMPS"
2147 PetscErrorCode MatMumpsGetInfog_MUMPS(Mat F,PetscInt icntl,PetscInt *infog)
2148 {
2149   Mat_MUMPS *mumps =(Mat_MUMPS*)F->spptr;
2150 
2151   PetscFunctionBegin;
2152   *infog = mumps->id.INFOG(icntl);
2153   PetscFunctionReturn(0);
2154 }
2155 
2156 #undef __FUNCT__
2157 #define __FUNCT__ "MatMumpsGetRinfo_MUMPS"
2158 PetscErrorCode MatMumpsGetRinfo_MUMPS(Mat F,PetscInt icntl,PetscReal *rinfo)
2159 {
2160   Mat_MUMPS *mumps =(Mat_MUMPS*)F->spptr;
2161 
2162   PetscFunctionBegin;
2163   *rinfo = mumps->id.RINFO(icntl);
2164   PetscFunctionReturn(0);
2165 }
2166 
2167 #undef __FUNCT__
2168 #define __FUNCT__ "MatMumpsGetRinfog_MUMPS"
2169 PetscErrorCode MatMumpsGetRinfog_MUMPS(Mat F,PetscInt icntl,PetscReal *rinfog)
2170 {
2171   Mat_MUMPS *mumps =(Mat_MUMPS*)F->spptr;
2172 
2173   PetscFunctionBegin;
2174   *rinfog = mumps->id.RINFOG(icntl);
2175   PetscFunctionReturn(0);
2176 }
2177 
2178 #undef __FUNCT__
2179 #define __FUNCT__ "MatMumpsGetInfo"
2180 /*@
2181   MatMumpsGetInfo - Get MUMPS parameter INFO()
2182 
2183    Logically Collective on Mat
2184 
2185    Input Parameters:
2186 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
2187 -  icntl - index of MUMPS parameter array INFO()
2188 
2189   Output Parameter:
2190 .  ival - value of MUMPS INFO(icntl)
2191 
2192    Level: beginner
2193 
2194    References: MUMPS Users' Guide
2195 
2196 .seealso: MatGetFactor()
2197 @*/
2198 PetscErrorCode MatMumpsGetInfo(Mat F,PetscInt icntl,PetscInt *ival)
2199 {
2200   PetscErrorCode ierr;
2201 
2202   PetscFunctionBegin;
2203   PetscValidIntPointer(ival,3);
2204   ierr = PetscTryMethod(F,"MatMumpsGetInfo_C",(Mat,PetscInt,PetscInt*),(F,icntl,ival));CHKERRQ(ierr);
2205   PetscFunctionReturn(0);
2206 }
2207 
2208 #undef __FUNCT__
2209 #define __FUNCT__ "MatMumpsGetInfog"
2210 /*@
2211   MatMumpsGetInfog - Get MUMPS parameter INFOG()
2212 
2213    Logically Collective on Mat
2214 
2215    Input Parameters:
2216 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
2217 -  icntl - index of MUMPS parameter array INFOG()
2218 
2219   Output Parameter:
2220 .  ival - value of MUMPS INFOG(icntl)
2221 
2222    Level: beginner
2223 
2224    References: MUMPS Users' Guide
2225 
2226 .seealso: MatGetFactor()
2227 @*/
2228 PetscErrorCode MatMumpsGetInfog(Mat F,PetscInt icntl,PetscInt *ival)
2229 {
2230   PetscErrorCode ierr;
2231 
2232   PetscFunctionBegin;
2233   PetscValidIntPointer(ival,3);
2234   ierr = PetscTryMethod(F,"MatMumpsGetInfog_C",(Mat,PetscInt,PetscInt*),(F,icntl,ival));CHKERRQ(ierr);
2235   PetscFunctionReturn(0);
2236 }
2237 
2238 #undef __FUNCT__
2239 #define __FUNCT__ "MatMumpsGetRinfo"
2240 /*@
2241   MatMumpsGetRinfo - Get MUMPS parameter RINFO()
2242 
2243    Logically Collective on Mat
2244 
2245    Input Parameters:
2246 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
2247 -  icntl - index of MUMPS parameter array RINFO()
2248 
2249   Output Parameter:
2250 .  val - value of MUMPS RINFO(icntl)
2251 
2252    Level: beginner
2253 
2254    References: MUMPS Users' Guide
2255 
2256 .seealso: MatGetFactor()
2257 @*/
2258 PetscErrorCode MatMumpsGetRinfo(Mat F,PetscInt icntl,PetscReal *val)
2259 {
2260   PetscErrorCode ierr;
2261 
2262   PetscFunctionBegin;
2263   PetscValidRealPointer(val,3);
2264   ierr = PetscTryMethod(F,"MatMumpsGetRinfo_C",(Mat,PetscInt,PetscReal*),(F,icntl,val));CHKERRQ(ierr);
2265   PetscFunctionReturn(0);
2266 }
2267 
2268 #undef __FUNCT__
2269 #define __FUNCT__ "MatMumpsGetRinfog"
2270 /*@
2271   MatMumpsGetRinfog - Get MUMPS parameter RINFOG()
2272 
2273    Logically Collective on Mat
2274 
2275    Input Parameters:
2276 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
2277 -  icntl - index of MUMPS parameter array RINFOG()
2278 
2279   Output Parameter:
2280 .  val - value of MUMPS RINFOG(icntl)
2281 
2282    Level: beginner
2283 
2284    References: MUMPS Users' Guide
2285 
2286 .seealso: MatGetFactor()
2287 @*/
2288 PetscErrorCode MatMumpsGetRinfog(Mat F,PetscInt icntl,PetscReal *val)
2289 {
2290   PetscErrorCode ierr;
2291 
2292   PetscFunctionBegin;
2293   PetscValidRealPointer(val,3);
2294   ierr = PetscTryMethod(F,"MatMumpsGetRinfog_C",(Mat,PetscInt,PetscReal*),(F,icntl,val));CHKERRQ(ierr);
2295   PetscFunctionReturn(0);
2296 }
2297 
2298 /*MC
2299   MATSOLVERMUMPS -  A matrix type providing direct solvers (LU and Cholesky) for
2300   distributed and sequential matrices via the external package MUMPS.
2301 
2302   Works with MATAIJ and MATSBAIJ matrices
2303 
2304   Use ./configure --download-mumps --download-scalapack --download-parmetis --download-metis --download-ptscotch  to have PETSc installed with MUMPS
2305 
2306   Use -pc_type cholesky or lu -pc_factor_mat_solver_package mumps to us this direct solver
2307 
2308   Options Database Keys:
2309 +  -mat_mumps_icntl_1 <6>: ICNTL(1): output stream for error messages (None)
2310 .  -mat_mumps_icntl_2 <0>: ICNTL(2): output stream for diagnostic printing, statistics, and warning (None)
2311 .  -mat_mumps_icntl_3 <0>: ICNTL(3): output stream for global information, collected on the host (None)
2312 .  -mat_mumps_icntl_4 <0>: ICNTL(4): level of printing (0 to 4) (None)
2313 .  -mat_mumps_icntl_6 <7>: ICNTL(6): permutes to a zero-free diagonal and/or scale the matrix (0 to 7) (None)
2314 .  -mat_mumps_icntl_7 <7>: ICNTL(7): computes a symmetric permutation in sequential analysis (0 to 7). 3=Scotch, 4=PORD, 5=Metis (None)
2315 .  -mat_mumps_icntl_8 <77>: ICNTL(8): scaling strategy (-2 to 8 or 77) (None)
2316 .  -mat_mumps_icntl_10 <0>: ICNTL(10): max num of refinements (None)
2317 .  -mat_mumps_icntl_11 <0>: ICNTL(11): statistics related to an error analysis (via -ksp_view) (None)
2318 .  -mat_mumps_icntl_12 <1>: ICNTL(12): an ordering strategy for symmetric matrices (0 to 3) (None)
2319 .  -mat_mumps_icntl_13 <0>: ICNTL(13): parallelism of the root node (enable ScaLAPACK) and its splitting (None)
2320 .  -mat_mumps_icntl_14 <20>: ICNTL(14): percentage increase in the estimated working space (None)
2321 .  -mat_mumps_icntl_19 <0>: ICNTL(19): computes the Schur complement (None)
2322 .  -mat_mumps_icntl_22 <0>: ICNTL(22): in-core/out-of-core factorization and solve (0 or 1) (None)
2323 .  -mat_mumps_icntl_23 <0>: ICNTL(23): max size of the working memory (MB) that can allocate per processor (None)
2324 .  -mat_mumps_icntl_24 <0>: ICNTL(24): detection of null pivot rows (0 or 1) (None)
2325 .  -mat_mumps_icntl_25 <0>: ICNTL(25): compute a solution of a deficient matrix and a null space basis (None)
2326 .  -mat_mumps_icntl_26 <0>: ICNTL(26): drives the solution phase if a Schur complement matrix (None)
2327 .  -mat_mumps_icntl_28 <1>: ICNTL(28): use 1 for sequential analysis and ictnl(7) ordering, or 2 for parallel analysis and ictnl(29) ordering (None)
2328 .  -mat_mumps_icntl_29 <0>: ICNTL(29): parallel ordering 1 = ptscotch, 2 = parmetis (None)
2329 .  -mat_mumps_icntl_30 <0>: ICNTL(30): compute user-specified set of entries in inv(A) (None)
2330 .  -mat_mumps_icntl_31 <0>: ICNTL(31): indicates which factors may be discarded during factorization (None)
2331 .  -mat_mumps_icntl_33 <0>: ICNTL(33): compute determinant (None)
2332 .  -mat_mumps_cntl_1 <0.01>: CNTL(1): relative pivoting threshold (None)
2333 .  -mat_mumps_cntl_2 <1.49012e-08>: CNTL(2): stopping criterion of refinement (None)
2334 .  -mat_mumps_cntl_3 <0>: CNTL(3): absolute pivoting threshold (None)
2335 .  -mat_mumps_cntl_4 <-1>: CNTL(4): value for static pivoting (None)
2336 -  -mat_mumps_cntl_5 <0>: CNTL(5): fixation for null pivots (None)
2337 
2338   Level: beginner
2339 
2340 .seealso: PCFactorSetMatSolverPackage(), MatSolverPackage
2341 
2342 M*/
2343 
2344 #undef __FUNCT__
2345 #define __FUNCT__ "MatFactorGetSolverPackage_mumps"
2346 static PetscErrorCode MatFactorGetSolverPackage_mumps(Mat A,const MatSolverPackage *type)
2347 {
2348   PetscFunctionBegin;
2349   *type = MATSOLVERMUMPS;
2350   PetscFunctionReturn(0);
2351 }
2352 
2353 /* MatGetFactor for Seq and MPI AIJ matrices */
2354 #undef __FUNCT__
2355 #define __FUNCT__ "MatGetFactor_aij_mumps"
2356 PETSC_EXTERN PetscErrorCode MatGetFactor_aij_mumps(Mat A,MatFactorType ftype,Mat *F)
2357 {
2358   Mat            B;
2359   PetscErrorCode ierr;
2360   Mat_MUMPS      *mumps;
2361   PetscBool      isSeqAIJ;
2362 
2363   PetscFunctionBegin;
2364   /* Create the factorization matrix */
2365   ierr = PetscObjectTypeCompare((PetscObject)A,MATSEQAIJ,&isSeqAIJ);CHKERRQ(ierr);
2366   ierr = MatCreate(PetscObjectComm((PetscObject)A),&B);CHKERRQ(ierr);
2367   ierr = MatSetSizes(B,A->rmap->n,A->cmap->n,A->rmap->N,A->cmap->N);CHKERRQ(ierr);
2368   ierr = MatSetType(B,((PetscObject)A)->type_name);CHKERRQ(ierr);
2369   if (isSeqAIJ) {
2370     ierr = MatSeqAIJSetPreallocation(B,0,NULL);CHKERRQ(ierr);
2371   } else {
2372     ierr = MatMPIAIJSetPreallocation(B,0,NULL,0,NULL);CHKERRQ(ierr);
2373   }
2374 
2375   ierr = PetscNewLog(B,&mumps);CHKERRQ(ierr);
2376 
2377   B->ops->view        = MatView_MUMPS;
2378   B->ops->getinfo     = MatGetInfo_MUMPS;
2379   B->ops->getdiagonal = MatGetDiagonal_MUMPS;
2380 
2381   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorGetSolverPackage_C",MatFactorGetSolverPackage_mumps);CHKERRQ(ierr);
2382   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSetSchurIS_C",MatFactorSetSchurIS_MUMPS);CHKERRQ(ierr);
2383   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorInvertSchurComplement_C",MatFactorInvertSchurComplement_MUMPS);CHKERRQ(ierr);
2384   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorCreateSchurComplement_C",MatFactorCreateSchurComplement_MUMPS);CHKERRQ(ierr);
2385   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorGetSchurComplement_C",MatFactorGetSchurComplement_MUMPS);CHKERRQ(ierr);
2386   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorRestoreSchurComplement_C",MatFactorRestoreSchurComplement_MUMPS);CHKERRQ(ierr);
2387   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSolveSchurComplement_C",MatFactorSolveSchurComplement_MUMPS);CHKERRQ(ierr);
2388   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSolveSchurComplementTranspose_C",MatFactorSolveSchurComplementTranspose_MUMPS);CHKERRQ(ierr);
2389   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsSetIcntl_C",MatMumpsSetIcntl_MUMPS);CHKERRQ(ierr);
2390   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetIcntl_C",MatMumpsGetIcntl_MUMPS);CHKERRQ(ierr);
2391   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsSetCntl_C",MatMumpsSetCntl_MUMPS);CHKERRQ(ierr);
2392   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetCntl_C",MatMumpsGetCntl_MUMPS);CHKERRQ(ierr);
2393   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetInfo_C",MatMumpsGetInfo_MUMPS);CHKERRQ(ierr);
2394   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetInfog_C",MatMumpsGetInfog_MUMPS);CHKERRQ(ierr);
2395   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetRinfo_C",MatMumpsGetRinfo_MUMPS);CHKERRQ(ierr);
2396   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetRinfog_C",MatMumpsGetRinfog_MUMPS);CHKERRQ(ierr);
2397 
2398   if (ftype == MAT_FACTOR_LU) {
2399     B->ops->lufactorsymbolic = MatLUFactorSymbolic_AIJMUMPS;
2400     B->factortype            = MAT_FACTOR_LU;
2401     if (isSeqAIJ) mumps->ConvertToTriples = MatConvertToTriples_seqaij_seqaij;
2402     else mumps->ConvertToTriples = MatConvertToTriples_mpiaij_mpiaij;
2403     mumps->sym = 0;
2404   } else {
2405     B->ops->choleskyfactorsymbolic = MatCholeskyFactorSymbolic_MUMPS;
2406     B->factortype                  = MAT_FACTOR_CHOLESKY;
2407     if (isSeqAIJ) mumps->ConvertToTriples = MatConvertToTriples_seqaij_seqsbaij;
2408     else mumps->ConvertToTriples = MatConvertToTriples_mpiaij_mpisbaij;
2409 #if defined(PETSC_USE_COMPLEX)
2410     mumps->sym = 2;
2411 #else
2412     if (A->spd_set && A->spd) mumps->sym = 1;
2413     else                      mumps->sym = 2;
2414 #endif
2415   }
2416 
2417   mumps->isAIJ    = PETSC_TRUE;
2418   mumps->Destroy  = B->ops->destroy;
2419   B->ops->destroy = MatDestroy_MUMPS;
2420   B->spptr        = (void*)mumps;
2421 
2422   ierr = PetscInitializeMUMPS(A,mumps);CHKERRQ(ierr);
2423 
2424   *F = B;
2425   PetscFunctionReturn(0);
2426 }
2427 
2428 /* MatGetFactor for Seq and MPI SBAIJ matrices */
2429 #undef __FUNCT__
2430 #define __FUNCT__ "MatGetFactor_sbaij_mumps"
2431 PETSC_EXTERN PetscErrorCode MatGetFactor_sbaij_mumps(Mat A,MatFactorType ftype,Mat *F)
2432 {
2433   Mat            B;
2434   PetscErrorCode ierr;
2435   Mat_MUMPS      *mumps;
2436   PetscBool      isSeqSBAIJ;
2437 
2438   PetscFunctionBegin;
2439   if (ftype != MAT_FACTOR_CHOLESKY) SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_SUP,"Cannot use PETSc SBAIJ matrices with MUMPS LU, use AIJ matrix");
2440   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");
2441   ierr = PetscObjectTypeCompare((PetscObject)A,MATSEQSBAIJ,&isSeqSBAIJ);CHKERRQ(ierr);
2442   /* Create the factorization matrix */
2443   ierr = MatCreate(PetscObjectComm((PetscObject)A),&B);CHKERRQ(ierr);
2444   ierr = MatSetSizes(B,A->rmap->n,A->cmap->n,A->rmap->N,A->cmap->N);CHKERRQ(ierr);
2445   ierr = MatSetType(B,((PetscObject)A)->type_name);CHKERRQ(ierr);
2446   ierr = PetscNewLog(B,&mumps);CHKERRQ(ierr);
2447   if (isSeqSBAIJ) {
2448     ierr = MatSeqSBAIJSetPreallocation(B,1,0,NULL);CHKERRQ(ierr);
2449 
2450     mumps->ConvertToTriples = MatConvertToTriples_seqsbaij_seqsbaij;
2451   } else {
2452     ierr = MatMPISBAIJSetPreallocation(B,1,0,NULL,0,NULL);CHKERRQ(ierr);
2453 
2454     mumps->ConvertToTriples = MatConvertToTriples_mpisbaij_mpisbaij;
2455   }
2456 
2457   B->ops->choleskyfactorsymbolic = MatCholeskyFactorSymbolic_MUMPS;
2458   B->ops->view                   = MatView_MUMPS;
2459   B->ops->getdiagonal            = MatGetDiagonal_MUMPS;
2460 
2461   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorGetSolverPackage_C",MatFactorGetSolverPackage_mumps);CHKERRQ(ierr);
2462   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSetSchurIS_C",MatFactorSetSchurIS_MUMPS);CHKERRQ(ierr);
2463   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorInvertSchurComplement_C",MatFactorInvertSchurComplement_MUMPS);CHKERRQ(ierr);
2464   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorCreateSchurComplement_C",MatFactorCreateSchurComplement_MUMPS);CHKERRQ(ierr);
2465   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorGetSchurComplement_C",MatFactorGetSchurComplement_MUMPS);CHKERRQ(ierr);
2466   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorRestoreSchurComplement_C",MatFactorRestoreSchurComplement_MUMPS);CHKERRQ(ierr);
2467   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSolveSchurComplement_C",MatFactorSolveSchurComplement_MUMPS);CHKERRQ(ierr);
2468   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSolveSchurComplementTranspose_C",MatFactorSolveSchurComplementTranspose_MUMPS);CHKERRQ(ierr);
2469   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsSetIcntl_C",MatMumpsSetIcntl_MUMPS);CHKERRQ(ierr);
2470   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetIcntl_C",MatMumpsGetIcntl_MUMPS);CHKERRQ(ierr);
2471   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsSetCntl_C",MatMumpsSetCntl_MUMPS);CHKERRQ(ierr);
2472   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetCntl_C",MatMumpsGetCntl_MUMPS);CHKERRQ(ierr);
2473   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetInfo_C",MatMumpsGetInfo_MUMPS);CHKERRQ(ierr);
2474   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetInfog_C",MatMumpsGetInfog_MUMPS);CHKERRQ(ierr);
2475   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetRinfo_C",MatMumpsGetRinfo_MUMPS);CHKERRQ(ierr);
2476   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetRinfog_C",MatMumpsGetRinfog_MUMPS);CHKERRQ(ierr);
2477 
2478   B->factortype = MAT_FACTOR_CHOLESKY;
2479 #if defined(PETSC_USE_COMPLEX)
2480   mumps->sym = 2;
2481 #else
2482   if (A->spd_set && A->spd) mumps->sym = 1;
2483   else                      mumps->sym = 2;
2484 #endif
2485 
2486   mumps->isAIJ    = PETSC_FALSE;
2487   mumps->Destroy  = B->ops->destroy;
2488   B->ops->destroy = MatDestroy_MUMPS;
2489   B->spptr        = (void*)mumps;
2490 
2491   ierr = PetscInitializeMUMPS(A,mumps);CHKERRQ(ierr);
2492 
2493   *F = B;
2494   PetscFunctionReturn(0);
2495 }
2496 
2497 #undef __FUNCT__
2498 #define __FUNCT__ "MatGetFactor_baij_mumps"
2499 PETSC_EXTERN PetscErrorCode MatGetFactor_baij_mumps(Mat A,MatFactorType ftype,Mat *F)
2500 {
2501   Mat            B;
2502   PetscErrorCode ierr;
2503   Mat_MUMPS      *mumps;
2504   PetscBool      isSeqBAIJ;
2505 
2506   PetscFunctionBegin;
2507   /* Create the factorization matrix */
2508   ierr = PetscObjectTypeCompare((PetscObject)A,MATSEQBAIJ,&isSeqBAIJ);CHKERRQ(ierr);
2509   ierr = MatCreate(PetscObjectComm((PetscObject)A),&B);CHKERRQ(ierr);
2510   ierr = MatSetSizes(B,A->rmap->n,A->cmap->n,A->rmap->N,A->cmap->N);CHKERRQ(ierr);
2511   ierr = MatSetType(B,((PetscObject)A)->type_name);CHKERRQ(ierr);
2512   if (isSeqBAIJ) {
2513     ierr = MatSeqBAIJSetPreallocation(B,A->rmap->bs,0,NULL);CHKERRQ(ierr);
2514   } else {
2515     ierr = MatMPIBAIJSetPreallocation(B,A->rmap->bs,0,NULL,0,NULL);CHKERRQ(ierr);
2516   }
2517 
2518   ierr = PetscNewLog(B,&mumps);CHKERRQ(ierr);
2519   if (ftype == MAT_FACTOR_LU) {
2520     B->ops->lufactorsymbolic = MatLUFactorSymbolic_BAIJMUMPS;
2521     B->factortype            = MAT_FACTOR_LU;
2522     if (isSeqBAIJ) mumps->ConvertToTriples = MatConvertToTriples_seqbaij_seqaij;
2523     else mumps->ConvertToTriples = MatConvertToTriples_mpibaij_mpiaij;
2524     mumps->sym = 0;
2525   } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Cannot use PETSc BAIJ matrices with MUMPS Cholesky, use SBAIJ or AIJ matrix instead\n");
2526 
2527   B->ops->view        = MatView_MUMPS;
2528   B->ops->getdiagonal = MatGetDiagonal_MUMPS;
2529 
2530   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorGetSolverPackage_C",MatFactorGetSolverPackage_mumps);CHKERRQ(ierr);
2531   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSetSchurIS_C",MatFactorSetSchurIS_MUMPS);CHKERRQ(ierr);
2532   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorInvertSchurComplement_C",MatFactorInvertSchurComplement_MUMPS);CHKERRQ(ierr);
2533   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorCreateSchurComplement_C",MatFactorCreateSchurComplement_MUMPS);CHKERRQ(ierr);
2534   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorGetSchurComplement_C",MatFactorGetSchurComplement_MUMPS);CHKERRQ(ierr);
2535   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorRestoreSchurComplement_C",MatFactorRestoreSchurComplement_MUMPS);CHKERRQ(ierr);
2536   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSolveSchurComplement_C",MatFactorSolveSchurComplement_MUMPS);CHKERRQ(ierr);
2537   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSolveSchurComplementTranspose_C",MatFactorSolveSchurComplementTranspose_MUMPS);CHKERRQ(ierr);
2538   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsSetIcntl_C",MatMumpsSetIcntl_MUMPS);CHKERRQ(ierr);
2539   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetIcntl_C",MatMumpsGetIcntl_MUMPS);CHKERRQ(ierr);
2540   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsSetCntl_C",MatMumpsSetCntl_MUMPS);CHKERRQ(ierr);
2541   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetCntl_C",MatMumpsGetCntl_MUMPS);CHKERRQ(ierr);
2542   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetInfo_C",MatMumpsGetInfo_MUMPS);CHKERRQ(ierr);
2543   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetInfog_C",MatMumpsGetInfog_MUMPS);CHKERRQ(ierr);
2544   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetRinfo_C",MatMumpsGetRinfo_MUMPS);CHKERRQ(ierr);
2545   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetRinfog_C",MatMumpsGetRinfog_MUMPS);CHKERRQ(ierr);
2546 
2547   mumps->isAIJ    = PETSC_TRUE;
2548   mumps->Destroy  = B->ops->destroy;
2549   B->ops->destroy = MatDestroy_MUMPS;
2550   B->spptr        = (void*)mumps;
2551 
2552   ierr = PetscInitializeMUMPS(A,mumps);CHKERRQ(ierr);
2553 
2554   *F = B;
2555   PetscFunctionReturn(0);
2556 }
2557 
2558 PETSC_EXTERN PetscErrorCode MatGetFactor_aij_mumps(Mat,MatFactorType,Mat*);
2559 PETSC_EXTERN PetscErrorCode MatGetFactor_baij_mumps(Mat,MatFactorType,Mat*);
2560 PETSC_EXTERN PetscErrorCode MatGetFactor_sbaij_mumps(Mat,MatFactorType,Mat*);
2561 
2562 #undef __FUNCT__
2563 #define __FUNCT__ "MatSolverPackageRegister_MUMPS"
2564 PETSC_EXTERN PetscErrorCode MatSolverPackageRegister_MUMPS(void)
2565 {
2566   PetscErrorCode ierr;
2567 
2568   PetscFunctionBegin;
2569   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATMPIAIJ,MAT_FACTOR_LU,MatGetFactor_aij_mumps);CHKERRQ(ierr);
2570   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATMPIAIJ,MAT_FACTOR_CHOLESKY,MatGetFactor_aij_mumps);CHKERRQ(ierr);
2571   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATMPIBAIJ,MAT_FACTOR_LU,MatGetFactor_baij_mumps);CHKERRQ(ierr);
2572   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATMPIBAIJ,MAT_FACTOR_CHOLESKY,MatGetFactor_baij_mumps);CHKERRQ(ierr);
2573   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATMPISBAIJ,MAT_FACTOR_CHOLESKY,MatGetFactor_sbaij_mumps);CHKERRQ(ierr);
2574   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATSEQAIJ,MAT_FACTOR_LU,MatGetFactor_aij_mumps);CHKERRQ(ierr);
2575   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATSEQAIJ,MAT_FACTOR_CHOLESKY,MatGetFactor_aij_mumps);CHKERRQ(ierr);
2576   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATSEQBAIJ,MAT_FACTOR_LU,MatGetFactor_baij_mumps);CHKERRQ(ierr);
2577   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATSEQBAIJ,MAT_FACTOR_CHOLESKY,MatGetFactor_baij_mumps);CHKERRQ(ierr);
2578   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATSEQSBAIJ,MAT_FACTOR_CHOLESKY,MatGetFactor_sbaij_mumps);CHKERRQ(ierr);
2579   PetscFunctionReturn(0);
2580 }
2581 
2582