xref: /petsc/src/mat/impls/aij/mpi/mumps/mumps.c (revision a6bd58b0054484217d79fa4e5c8d6f1353c37b73)
1 
2 /*
3     Provides an interface to the MUMPS sparse solver
4 */
5 
6 #include <../src/mat/impls/aij/mpi/mpiaij.h> /*I  "petscmat.h"  I*/
7 #include <../src/mat/impls/sbaij/mpi/mpisbaij.h>
8 #include <petscblaslapack.h>
9 
10 EXTERN_C_BEGIN
11 #if defined(PETSC_USE_COMPLEX)
12 #if defined(PETSC_USE_REAL_SINGLE)
13 #include <cmumps_c.h>
14 #else
15 #include <zmumps_c.h>
16 #endif
17 #else
18 #if defined(PETSC_USE_REAL_SINGLE)
19 #include <smumps_c.h>
20 #else
21 #include <dmumps_c.h>
22 #endif
23 #endif
24 EXTERN_C_END
25 #define JOB_INIT -1
26 #define JOB_FACTSYMBOLIC 1
27 #define JOB_FACTNUMERIC 2
28 #define JOB_SOLVE 3
29 #define JOB_END -2
30 
31 /* calls to MUMPS */
32 #if defined(PETSC_USE_COMPLEX)
33 #if defined(PETSC_USE_REAL_SINGLE)
34 #define PetscMUMPS_c cmumps_c
35 #else
36 #define PetscMUMPS_c zmumps_c
37 #endif
38 #else
39 #if defined(PETSC_USE_REAL_SINGLE)
40 #define PetscMUMPS_c smumps_c
41 #else
42 #define PetscMUMPS_c dmumps_c
43 #endif
44 #endif
45 
46 /* declare MumpsScalar */
47 #if defined(PETSC_USE_COMPLEX)
48 #if defined(PETSC_USE_REAL_SINGLE)
49 #define MumpsScalar mumps_complex
50 #else
51 #define MumpsScalar mumps_double_complex
52 #endif
53 #else
54 #define MumpsScalar PetscScalar
55 #endif
56 
57 /* macros s.t. indices match MUMPS documentation */
58 #define ICNTL(I) icntl[(I)-1]
59 #define CNTL(I) cntl[(I)-1]
60 #define INFOG(I) infog[(I)-1]
61 #define INFO(I) info[(I)-1]
62 #define RINFOG(I) rinfog[(I)-1]
63 #define RINFO(I) rinfo[(I)-1]
64 
65 typedef struct {
66 #if defined(PETSC_USE_COMPLEX)
67 #if defined(PETSC_USE_REAL_SINGLE)
68   CMUMPS_STRUC_C id;
69 #else
70   ZMUMPS_STRUC_C id;
71 #endif
72 #else
73 #if defined(PETSC_USE_REAL_SINGLE)
74   SMUMPS_STRUC_C id;
75 #else
76   DMUMPS_STRUC_C id;
77 #endif
78 #endif
79 
80   MatStructure matstruc;
81   PetscMPIInt  myid,size;
82   PetscInt     *irn,*jcn,nz,sym;
83   PetscScalar  *val;
84   MPI_Comm     comm_mumps;
85   PetscBool    isAIJ;
86   PetscInt     ICNTL9_pre;           /* check if ICNTL(9) is changed from previous MatSolve */
87   VecScatter   scat_rhs, scat_sol;   /* used by MatSolve() */
88   Vec          b_seq,x_seq;
89   PetscInt     ninfo,*info;          /* display INFO */
90   PetscInt     sizeredrhs;
91   PetscInt     *schur_pivots;
92   PetscInt     schur_B_lwork;
93   PetscScalar  *schur_work;
94   PetscScalar  *schur_sol;
95   PetscInt     schur_sizesol;
96   PetscBool    schur_factored;
97   PetscBool    schur_inverted;
98 
99   PetscErrorCode (*Destroy)(Mat);
100   PetscErrorCode (*ConvertToTriples)(Mat, int, MatReuse, int*, int**, int**, PetscScalar**);
101 } Mat_MUMPS;
102 
103 extern PetscErrorCode MatDuplicate_MUMPS(Mat,MatDuplicateOption,Mat*);
104 
105 #undef __FUNCT__
106 #define __FUNCT__ "MatMumpsResetSchur_Private"
107 static PetscErrorCode MatMumpsResetSchur_Private(Mat_MUMPS* mumps)
108 {
109   PetscErrorCode ierr;
110 
111   PetscFunctionBegin;
112   ierr = PetscFree2(mumps->id.listvar_schur,mumps->id.schur);CHKERRQ(ierr);
113   ierr = PetscFree(mumps->id.redrhs);CHKERRQ(ierr);
114   ierr = PetscFree(mumps->schur_sol);CHKERRQ(ierr);
115   ierr = PetscFree(mumps->schur_pivots);CHKERRQ(ierr);
116   ierr = PetscFree(mumps->schur_work);CHKERRQ(ierr);
117   mumps->id.size_schur = 0;
118   mumps->id.ICNTL(19) = 0;
119   PetscFunctionReturn(0);
120 }
121 
122 #undef __FUNCT__
123 #define __FUNCT__ "MatMumpsFactorSchur_Private"
124 static PetscErrorCode MatMumpsFactorSchur_Private(Mat_MUMPS* mumps)
125 {
126   PetscBLASInt   B_N,B_ierr,B_slda;
127   PetscErrorCode ierr;
128 
129   PetscFunctionBegin;
130   if (mumps->schur_factored) {
131     PetscFunctionReturn(0);
132   }
133   ierr = PetscBLASIntCast(mumps->id.size_schur,&B_N);CHKERRQ(ierr);
134   ierr = PetscBLASIntCast(mumps->id.schur_lld,&B_slda);CHKERRQ(ierr);
135   if (!mumps->sym) { /* MUMPS always return a full Schur matrix */
136     if (!mumps->schur_pivots) {
137       ierr = PetscMalloc1(B_N,&mumps->schur_pivots);CHKERRQ(ierr);
138     }
139     ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr);
140     PetscStackCallBLAS("LAPACKgetrf",LAPACKgetrf_(&B_N,&B_N,(PetscScalar*)mumps->id.schur,&B_slda,mumps->schur_pivots,&B_ierr));
141     ierr = PetscFPTrapPop();CHKERRQ(ierr);
142     if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in GETRF Lapack routine %d",(int)B_ierr);
143   } else { /* either full or lower-triangular (not packed) */
144     char ord[2];
145     if (mumps->id.ICNTL(19) == 2 || mumps->id.ICNTL(19) == 3) { /* lower triangular stored by columns or full matrix */
146       sprintf(ord,"L");
147     } else { /* ICNTL(19) == 1 lower triangular stored by rows */
148       sprintf(ord,"U");
149     }
150     if (mumps->id.sym == 2) {
151       if (!mumps->schur_pivots) {
152         PetscScalar  lwork;
153 
154         ierr = PetscMalloc1(B_N,&mumps->schur_pivots);CHKERRQ(ierr);
155         mumps->schur_B_lwork=-1;
156         ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr);
157         PetscStackCallBLAS("LAPACKsytrf",LAPACKsytrf_(ord,&B_N,(PetscScalar*)mumps->id.schur,&B_slda,mumps->schur_pivots,&lwork,&mumps->schur_B_lwork,&B_ierr));
158         ierr = PetscFPTrapPop();CHKERRQ(ierr);
159         if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in query to SYTRF Lapack routine %d",(int)B_ierr);
160         ierr = PetscBLASIntCast((PetscInt)PetscRealPart(lwork),&mumps->schur_B_lwork);CHKERRQ(ierr);
161         ierr = PetscMalloc1(mumps->schur_B_lwork,&mumps->schur_work);CHKERRQ(ierr);
162       }
163       ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr);
164       PetscStackCallBLAS("LAPACKsytrf",LAPACKsytrf_(ord,&B_N,(PetscScalar*)mumps->id.schur,&B_slda,mumps->schur_pivots,mumps->schur_work,&mumps->schur_B_lwork,&B_ierr));
165       ierr = PetscFPTrapPop();CHKERRQ(ierr);
166       if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in SYTRF Lapack routine %d",(int)B_ierr);
167     } else {
168       ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr);
169       PetscStackCallBLAS("LAPACKpotrf",LAPACKpotrf_(ord,&B_N,(PetscScalar*)mumps->id.schur,&B_slda,&B_ierr));
170       ierr = PetscFPTrapPop();CHKERRQ(ierr);
171       if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in POTRF Lapack routine %d",(int)B_ierr);
172     }
173   }
174   mumps->schur_factored = PETSC_TRUE;
175   PetscFunctionReturn(0);
176 }
177 
178 #undef __FUNCT__
179 #define __FUNCT__ "MatMumpsInvertSchur_Private"
180 static PetscErrorCode MatMumpsInvertSchur_Private(Mat_MUMPS* mumps)
181 {
182   PetscBLASInt   B_N,B_ierr,B_slda;
183   PetscErrorCode ierr;
184 
185   PetscFunctionBegin;
186   ierr = MatMumpsFactorSchur_Private(mumps);CHKERRQ(ierr);
187   ierr = PetscBLASIntCast(mumps->id.size_schur,&B_N);CHKERRQ(ierr);
188   ierr = PetscBLASIntCast(mumps->id.schur_lld,&B_slda);CHKERRQ(ierr);
189   if (!mumps->sym) { /* MUMPS always return a full Schur matrix */
190     if (!mumps->schur_work) {
191       PetscScalar lwork;
192 
193       mumps->schur_B_lwork = -1;
194       ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr);
195       PetscStackCallBLAS("LAPACKgetri",LAPACKgetri_(&B_N,(PetscScalar*)mumps->id.schur,&B_N,mumps->schur_pivots,&lwork,&mumps->schur_B_lwork,&B_ierr));
196       ierr = PetscFPTrapPop();CHKERRQ(ierr);
197       if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in query to GETRI Lapack routine %d",(int)B_ierr);
198       ierr = PetscBLASIntCast((PetscInt)PetscRealPart(lwork),&mumps->schur_B_lwork);CHKERRQ(ierr);
199       ierr = PetscMalloc1(mumps->schur_B_lwork,&mumps->schur_work);CHKERRQ(ierr);
200     }
201     ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr);
202     PetscStackCallBLAS("LAPACKgetri",LAPACKgetri_(&B_N,(PetscScalar*)mumps->id.schur,&B_N,mumps->schur_pivots,mumps->schur_work,&mumps->schur_B_lwork,&B_ierr));
203     ierr = PetscFPTrapPop();CHKERRQ(ierr);
204     if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in GETRI Lapack routine %d",(int)B_ierr);
205   } else { /* either full or lower-triangular (not packed) */
206     char ord[2];
207     if (mumps->id.ICNTL(19) == 2 || mumps->id.ICNTL(19) == 3) { /* lower triangular stored by columns or full matrix */
208       sprintf(ord,"L");
209     } else { /* ICNTL(19) == 1 lower triangular stored by rows */
210       sprintf(ord,"U");
211     }
212     if (mumps->id.sym == 2) {
213       ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr);
214       PetscStackCallBLAS("LAPACKsytri",LAPACKsytri_(ord,&B_N,(PetscScalar*)mumps->id.schur,&B_N,mumps->schur_pivots,mumps->schur_work,&B_ierr));
215       ierr = PetscFPTrapPop();CHKERRQ(ierr);
216       if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in SYTRI Lapack routine %d",(int)B_ierr);
217     } else {
218       ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr);
219       PetscStackCallBLAS("LAPACKpotri",LAPACKpotri_(ord,&B_N,(PetscScalar*)mumps->id.schur,&B_N,&B_ierr));
220       ierr = PetscFPTrapPop();CHKERRQ(ierr);
221       if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in POTRI Lapack routine %d",(int)B_ierr);
222     }
223   }
224   mumps->schur_inverted = PETSC_TRUE;
225   PetscFunctionReturn(0);
226 }
227 
228 #undef __FUNCT__
229 #define __FUNCT__ "MatMumpsSolveSchur_Private"
230 static PetscErrorCode MatMumpsSolveSchur_Private(Mat_MUMPS* mumps, PetscBool sol_in_redrhs)
231 {
232   PetscBLASInt   B_N,B_Nrhs,B_ierr,B_slda,B_rlda;
233   PetscScalar    one=1.,zero=0.;
234   PetscErrorCode ierr;
235 
236   PetscFunctionBegin;
237   ierr = MatMumpsFactorSchur_Private(mumps);CHKERRQ(ierr);
238   ierr = PetscBLASIntCast(mumps->id.size_schur,&B_N);CHKERRQ(ierr);
239   ierr = PetscBLASIntCast(mumps->id.schur_lld,&B_slda);CHKERRQ(ierr);
240   ierr = PetscBLASIntCast(mumps->id.nrhs,&B_Nrhs);CHKERRQ(ierr);
241   ierr = PetscBLASIntCast(mumps->id.lredrhs,&B_rlda);CHKERRQ(ierr);
242   if (mumps->schur_inverted) {
243     PetscInt sizesol = B_Nrhs*B_N;
244     if (!mumps->schur_sol || sizesol > mumps->schur_sizesol) {
245       ierr = PetscFree(mumps->schur_sol);CHKERRQ(ierr);
246       ierr = PetscMalloc1(sizesol,&mumps->schur_sol);CHKERRQ(ierr);
247       mumps->schur_sizesol = sizesol;
248     }
249     if (!mumps->sym) {
250       char type[2];
251       if (mumps->id.ICNTL(19) == 1) { /* stored by rows */
252         if (!mumps->id.ICNTL(9)) { /* transpose solve */
253           sprintf(type,"N");
254         } else {
255           sprintf(type,"T");
256         }
257       } else { /* stored by columns */
258         if (!mumps->id.ICNTL(9)) { /* transpose solve */
259           sprintf(type,"T");
260         } else {
261           sprintf(type,"N");
262         }
263       }
264       PetscStackCallBLAS("BLASgemm",BLASgemm_(type,"N",&B_N,&B_Nrhs,&B_N,&one,(PetscScalar*)mumps->id.schur,&B_slda,(PetscScalar*)mumps->id.redrhs,&B_rlda,&zero,mumps->schur_sol,&B_rlda));
265     } else {
266       char ord[2];
267       if (mumps->id.ICNTL(19) == 2 || mumps->id.ICNTL(19) == 3) { /* lower triangular stored by columns or full matrix */
268         sprintf(ord,"L");
269       } else { /* ICNTL(19) == 1 lower triangular stored by rows */
270         sprintf(ord,"U");
271       }
272       PetscStackCallBLAS("BLASsymm",BLASsymm_("L",ord,&B_N,&B_Nrhs,&one,(PetscScalar*)mumps->id.schur,&B_slda,(PetscScalar*)mumps->id.redrhs,&B_rlda,&zero,mumps->schur_sol,&B_rlda));
273     }
274     if (sol_in_redrhs) {
275       ierr = PetscMemcpy(mumps->id.redrhs,mumps->schur_sol,sizesol*sizeof(PetscScalar));CHKERRQ(ierr);
276     }
277   } else { /* Schur complement has not been inverted */
278     MumpsScalar *orhs=NULL;
279 
280     if (!sol_in_redrhs) {
281       PetscInt sizesol = B_Nrhs*B_N;
282       if (!mumps->schur_sol || sizesol > mumps->schur_sizesol) {
283         ierr = PetscFree(mumps->schur_sol);CHKERRQ(ierr);
284         ierr = PetscMalloc1(sizesol,&mumps->schur_sol);CHKERRQ(ierr);
285         mumps->schur_sizesol = sizesol;
286       }
287       orhs = mumps->id.redrhs;
288       ierr = PetscMemcpy(mumps->schur_sol,mumps->id.redrhs,sizesol*sizeof(PetscScalar));CHKERRQ(ierr);
289       mumps->id.redrhs = (MumpsScalar*)mumps->schur_sol;
290     }
291     if (!mumps->sym) { /* MUMPS always return a full Schur matrix */
292       char type[2];
293       if (mumps->id.ICNTL(19) == 1) { /* stored by rows */
294         if (!mumps->id.ICNTL(9)) { /* transpose solve */
295           sprintf(type,"N");
296         } else {
297           sprintf(type,"T");
298         }
299       } else { /* stored by columns */
300         if (!mumps->id.ICNTL(9)) { /* transpose solve */
301           sprintf(type,"T");
302         } else {
303           sprintf(type,"N");
304         }
305       }
306       ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr);
307       PetscStackCallBLAS("LAPACKgetrs",LAPACKgetrs_(type,&B_N,&B_Nrhs,(PetscScalar*)mumps->id.schur,&B_slda,mumps->schur_pivots,(PetscScalar*)mumps->id.redrhs,&B_rlda,&B_ierr));
308       ierr = PetscFPTrapPop();CHKERRQ(ierr);
309       if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in GETRS Lapack routine %d",(int)B_ierr);
310     } else { /* either full or lower-triangular (not packed) */
311       char ord[2];
312       if (mumps->id.ICNTL(19) == 2 || mumps->id.ICNTL(19) == 3) { /* lower triangular stored by columns or full matrix */
313         sprintf(ord,"L");
314       } else { /* ICNTL(19) == 1 lower triangular stored by rows */
315         sprintf(ord,"U");
316       }
317       if (mumps->id.sym == 2) {
318         ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr);
319         PetscStackCallBLAS("LAPACKsytrs",LAPACKsytrs_(ord,&B_N,&B_Nrhs,(PetscScalar*)mumps->id.schur,&B_slda,mumps->schur_pivots,(PetscScalar*)mumps->id.redrhs,&B_rlda,&B_ierr));
320         ierr = PetscFPTrapPop();CHKERRQ(ierr);
321         if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in SYTRS Lapack routine %d",(int)B_ierr);
322       } else {
323         ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr);
324         PetscStackCallBLAS("LAPACKpotrs",LAPACKpotrs_(ord,&B_N,&B_Nrhs,(PetscScalar*)mumps->id.schur,&B_slda,(PetscScalar*)mumps->id.redrhs,&B_rlda,&B_ierr));
325         ierr = PetscFPTrapPop();CHKERRQ(ierr);
326         if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in POTRS Lapack routine %d",(int)B_ierr);
327       }
328     }
329     if (!sol_in_redrhs) {
330       mumps->id.redrhs = orhs;
331     }
332   }
333   PetscFunctionReturn(0);
334 }
335 
336 #undef __FUNCT__
337 #define __FUNCT__ "MatMumpsHandleSchur_Private"
338 static PetscErrorCode MatMumpsHandleSchur_Private(Mat_MUMPS* mumps, PetscBool expansion)
339 {
340   PetscErrorCode ierr;
341 
342   PetscFunctionBegin;
343   if (!mumps->id.ICNTL(19)) { /* do nothing when Schur complement has not been computed */
344     PetscFunctionReturn(0);
345   }
346   if (!expansion) { /* prepare for the condensation step */
347     PetscInt sizeredrhs = mumps->id.nrhs*mumps->id.size_schur;
348     /* allocate MUMPS internal array to store reduced right-hand sides */
349     if (!mumps->id.redrhs || sizeredrhs > mumps->sizeredrhs) {
350       ierr = PetscFree(mumps->id.redrhs);CHKERRQ(ierr);
351       mumps->id.lredrhs = mumps->id.size_schur;
352       ierr = PetscMalloc1(mumps->id.nrhs*mumps->id.lredrhs,&mumps->id.redrhs);CHKERRQ(ierr);
353       mumps->sizeredrhs = mumps->id.nrhs*mumps->id.lredrhs;
354     }
355     mumps->id.ICNTL(26) = 1; /* condensation phase */
356   } else { /* prepare for the expansion step */
357     /* solve Schur complement (this has to be done by the MUMPS user, so basically us) */
358     ierr = MatMumpsSolveSchur_Private(mumps,PETSC_TRUE);CHKERRQ(ierr);
359     mumps->id.ICNTL(26) = 2; /* expansion phase */
360     PetscMUMPS_c(&mumps->id);
361     if (mumps->id.INFOG(1) < 0) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error reported by MUMPS in solve phase: INFOG(1)=%d\n",mumps->id.INFOG(1));
362     /* restore defaults */
363     mumps->id.ICNTL(26) = -1;
364   }
365   PetscFunctionReturn(0);
366 }
367 
368 /*
369   MatConvertToTriples_A_B - convert Petsc matrix to triples: row[nz], col[nz], val[nz]
370 
371   input:
372     A       - matrix in aij,baij or sbaij (bs=1) format
373     shift   - 0: C style output triple; 1: Fortran style output triple.
374     reuse   - MAT_INITIAL_MATRIX: spaces are allocated and values are set for the triple
375               MAT_REUSE_MATRIX:   only the values in v array are updated
376   output:
377     nnz     - dim of r, c, and v (number of local nonzero entries of A)
378     r, c, v - row and col index, matrix values (matrix triples)
379 
380   The returned values r, c, and sometimes v are obtained in a single PetscMalloc(). Then in MatDestroy_MUMPS() it is
381   freed with PetscFree((mumps->irn);  This is not ideal code, the fact that v is ONLY sometimes part of mumps->irn means
382   that the PetscMalloc() cannot easily be replaced with a PetscMalloc3().
383 
384  */
385 
386 #undef __FUNCT__
387 #define __FUNCT__ "MatConvertToTriples_seqaij_seqaij"
388 PetscErrorCode MatConvertToTriples_seqaij_seqaij(Mat A,int shift,MatReuse reuse,int *nnz,int **r, int **c, PetscScalar **v)
389 {
390   const PetscInt *ai,*aj,*ajj,M=A->rmap->n;
391   PetscInt       nz,rnz,i,j;
392   PetscErrorCode ierr;
393   PetscInt       *row,*col;
394   Mat_SeqAIJ     *aa=(Mat_SeqAIJ*)A->data;
395 
396   PetscFunctionBegin;
397   *v=aa->a;
398   if (reuse == MAT_INITIAL_MATRIX) {
399     nz   = aa->nz;
400     ai   = aa->i;
401     aj   = aa->j;
402     *nnz = nz;
403     ierr = PetscMalloc1(2*nz, &row);CHKERRQ(ierr);
404     col  = row + nz;
405 
406     nz = 0;
407     for (i=0; i<M; i++) {
408       rnz = ai[i+1] - ai[i];
409       ajj = aj + ai[i];
410       for (j=0; j<rnz; j++) {
411         row[nz] = i+shift; col[nz++] = ajj[j] + shift;
412       }
413     }
414     *r = row; *c = col;
415   }
416   PetscFunctionReturn(0);
417 }
418 
419 #undef __FUNCT__
420 #define __FUNCT__ "MatConvertToTriples_seqbaij_seqaij"
421 PetscErrorCode MatConvertToTriples_seqbaij_seqaij(Mat A,int shift,MatReuse reuse,int *nnz,int **r, int **c, PetscScalar **v)
422 {
423   Mat_SeqBAIJ    *aa=(Mat_SeqBAIJ*)A->data;
424   const PetscInt *ai,*aj,*ajj,bs2 = aa->bs2;
425   PetscInt       bs,M,nz,idx=0,rnz,i,j,k,m;
426   PetscErrorCode ierr;
427   PetscInt       *row,*col;
428 
429   PetscFunctionBegin;
430   ierr = MatGetBlockSize(A,&bs);CHKERRQ(ierr);
431   M = A->rmap->N/bs;
432   *v = aa->a;
433   if (reuse == MAT_INITIAL_MATRIX) {
434     ai   = aa->i; aj = aa->j;
435     nz   = bs2*aa->nz;
436     *nnz = nz;
437     ierr = PetscMalloc1(2*nz, &row);CHKERRQ(ierr);
438     col  = row + nz;
439 
440     for (i=0; i<M; i++) {
441       ajj = aj + ai[i];
442       rnz = ai[i+1] - ai[i];
443       for (k=0; k<rnz; k++) {
444         for (j=0; j<bs; j++) {
445           for (m=0; m<bs; m++) {
446             row[idx]   = i*bs + m + shift;
447             col[idx++] = bs*(ajj[k]) + j + shift;
448           }
449         }
450       }
451     }
452     *r = row; *c = col;
453   }
454   PetscFunctionReturn(0);
455 }
456 
457 #undef __FUNCT__
458 #define __FUNCT__ "MatConvertToTriples_seqsbaij_seqsbaij"
459 PetscErrorCode MatConvertToTriples_seqsbaij_seqsbaij(Mat A,int shift,MatReuse reuse,int *nnz,int **r, int **c, PetscScalar **v)
460 {
461   const PetscInt *ai, *aj,*ajj,M=A->rmap->n;
462   PetscInt       nz,rnz,i,j;
463   PetscErrorCode ierr;
464   PetscInt       *row,*col;
465   Mat_SeqSBAIJ   *aa=(Mat_SeqSBAIJ*)A->data;
466 
467   PetscFunctionBegin;
468   *v = aa->a;
469   if (reuse == MAT_INITIAL_MATRIX) {
470     nz   = aa->nz;
471     ai   = aa->i;
472     aj   = aa->j;
473     *v   = aa->a;
474     *nnz = nz;
475     ierr = PetscMalloc1(2*nz, &row);CHKERRQ(ierr);
476     col  = row + nz;
477 
478     nz = 0;
479     for (i=0; i<M; i++) {
480       rnz = ai[i+1] - ai[i];
481       ajj = aj + ai[i];
482       for (j=0; j<rnz; j++) {
483         row[nz] = i+shift; col[nz++] = ajj[j] + shift;
484       }
485     }
486     *r = row; *c = col;
487   }
488   PetscFunctionReturn(0);
489 }
490 
491 #undef __FUNCT__
492 #define __FUNCT__ "MatConvertToTriples_seqaij_seqsbaij"
493 PetscErrorCode MatConvertToTriples_seqaij_seqsbaij(Mat A,int shift,MatReuse reuse,int *nnz,int **r, int **c, PetscScalar **v)
494 {
495   const PetscInt    *ai,*aj,*ajj,*adiag,M=A->rmap->n;
496   PetscInt          nz,rnz,i,j;
497   const PetscScalar *av,*v1;
498   PetscScalar       *val;
499   PetscErrorCode    ierr;
500   PetscInt          *row,*col;
501   Mat_SeqAIJ        *aa=(Mat_SeqAIJ*)A->data;
502 
503   PetscFunctionBegin;
504   ai   =aa->i; aj=aa->j;av=aa->a;
505   adiag=aa->diag;
506   if (reuse == MAT_INITIAL_MATRIX) {
507     /* count nz in the uppper triangular part of A */
508     nz = 0;
509     for (i=0; i<M; i++) nz += ai[i+1] - adiag[i];
510     *nnz = nz;
511 
512     ierr = PetscMalloc((2*nz*sizeof(PetscInt)+nz*sizeof(PetscScalar)), &row);CHKERRQ(ierr);
513     col  = row + nz;
514     val  = (PetscScalar*)(col + nz);
515 
516     nz = 0;
517     for (i=0; i<M; i++) {
518       rnz = ai[i+1] - adiag[i];
519       ajj = aj + adiag[i];
520       v1  = av + adiag[i];
521       for (j=0; j<rnz; j++) {
522         row[nz] = i+shift; col[nz] = ajj[j] + shift; val[nz++] = v1[j];
523       }
524     }
525     *r = row; *c = col; *v = val;
526   } else {
527     nz = 0; val = *v;
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         val[nz++] = v1[j];
534       }
535     }
536   }
537   PetscFunctionReturn(0);
538 }
539 
540 #undef __FUNCT__
541 #define __FUNCT__ "MatConvertToTriples_mpisbaij_mpisbaij"
542 PetscErrorCode MatConvertToTriples_mpisbaij_mpisbaij(Mat A,int shift,MatReuse reuse,int *nnz,int **r, int **c, PetscScalar **v)
543 {
544   const PetscInt    *ai, *aj, *bi, *bj,*garray,m=A->rmap->n,*ajj,*bjj;
545   PetscErrorCode    ierr;
546   PetscInt          rstart,nz,i,j,jj,irow,countA,countB;
547   PetscInt          *row,*col;
548   const PetscScalar *av, *bv,*v1,*v2;
549   PetscScalar       *val;
550   Mat_MPISBAIJ      *mat = (Mat_MPISBAIJ*)A->data;
551   Mat_SeqSBAIJ      *aa  = (Mat_SeqSBAIJ*)(mat->A)->data;
552   Mat_SeqBAIJ       *bb  = (Mat_SeqBAIJ*)(mat->B)->data;
553 
554   PetscFunctionBegin;
555   ai=aa->i; aj=aa->j; bi=bb->i; bj=bb->j; rstart= A->rmap->rstart;
556   av=aa->a; bv=bb->a;
557 
558   garray = mat->garray;
559 
560   if (reuse == MAT_INITIAL_MATRIX) {
561     nz   = aa->nz + bb->nz;
562     *nnz = nz;
563     ierr = PetscMalloc((2*nz*sizeof(PetscInt)+nz*sizeof(PetscScalar)), &row);CHKERRQ(ierr);
564     col  = row + nz;
565     val  = (PetscScalar*)(col + nz);
566 
567     *r = row; *c = col; *v = val;
568   } else {
569     row = *r; col = *c; val = *v;
570   }
571 
572   jj = 0; irow = rstart;
573   for (i=0; i<m; i++) {
574     ajj    = aj + ai[i];                 /* ptr to the beginning of this row */
575     countA = ai[i+1] - ai[i];
576     countB = bi[i+1] - bi[i];
577     bjj    = bj + bi[i];
578     v1     = av + ai[i];
579     v2     = bv + bi[i];
580 
581     /* A-part */
582     for (j=0; j<countA; j++) {
583       if (reuse == MAT_INITIAL_MATRIX) {
584         row[jj] = irow + shift; col[jj] = rstart + ajj[j] + shift;
585       }
586       val[jj++] = v1[j];
587     }
588 
589     /* B-part */
590     for (j=0; j < countB; j++) {
591       if (reuse == MAT_INITIAL_MATRIX) {
592         row[jj] = irow + shift; col[jj] = garray[bjj[j]] + shift;
593       }
594       val[jj++] = v2[j];
595     }
596     irow++;
597   }
598   PetscFunctionReturn(0);
599 }
600 
601 #undef __FUNCT__
602 #define __FUNCT__ "MatConvertToTriples_mpiaij_mpiaij"
603 PetscErrorCode MatConvertToTriples_mpiaij_mpiaij(Mat A,int shift,MatReuse reuse,int *nnz,int **r, int **c, PetscScalar **v)
604 {
605   const PetscInt    *ai, *aj, *bi, *bj,*garray,m=A->rmap->n,*ajj,*bjj;
606   PetscErrorCode    ierr;
607   PetscInt          rstart,nz,i,j,jj,irow,countA,countB;
608   PetscInt          *row,*col;
609   const PetscScalar *av, *bv,*v1,*v2;
610   PetscScalar       *val;
611   Mat_MPIAIJ        *mat = (Mat_MPIAIJ*)A->data;
612   Mat_SeqAIJ        *aa  = (Mat_SeqAIJ*)(mat->A)->data;
613   Mat_SeqAIJ        *bb  = (Mat_SeqAIJ*)(mat->B)->data;
614 
615   PetscFunctionBegin;
616   ai=aa->i; aj=aa->j; bi=bb->i; bj=bb->j; rstart= A->rmap->rstart;
617   av=aa->a; bv=bb->a;
618 
619   garray = mat->garray;
620 
621   if (reuse == MAT_INITIAL_MATRIX) {
622     nz   = aa->nz + bb->nz;
623     *nnz = nz;
624     ierr = PetscMalloc((2*nz*sizeof(PetscInt)+nz*sizeof(PetscScalar)), &row);CHKERRQ(ierr);
625     col  = row + nz;
626     val  = (PetscScalar*)(col + nz);
627 
628     *r = row; *c = col; *v = val;
629   } else {
630     row = *r; col = *c; val = *v;
631   }
632 
633   jj = 0; irow = rstart;
634   for (i=0; i<m; i++) {
635     ajj    = aj + ai[i];                 /* ptr to the beginning of this row */
636     countA = ai[i+1] - ai[i];
637     countB = bi[i+1] - bi[i];
638     bjj    = bj + bi[i];
639     v1     = av + ai[i];
640     v2     = bv + bi[i];
641 
642     /* A-part */
643     for (j=0; j<countA; j++) {
644       if (reuse == MAT_INITIAL_MATRIX) {
645         row[jj] = irow + shift; col[jj] = rstart + ajj[j] + shift;
646       }
647       val[jj++] = v1[j];
648     }
649 
650     /* B-part */
651     for (j=0; j < countB; j++) {
652       if (reuse == MAT_INITIAL_MATRIX) {
653         row[jj] = irow + shift; col[jj] = garray[bjj[j]] + shift;
654       }
655       val[jj++] = v2[j];
656     }
657     irow++;
658   }
659   PetscFunctionReturn(0);
660 }
661 
662 #undef __FUNCT__
663 #define __FUNCT__ "MatConvertToTriples_mpibaij_mpiaij"
664 PetscErrorCode MatConvertToTriples_mpibaij_mpiaij(Mat A,int shift,MatReuse reuse,int *nnz,int **r, int **c, PetscScalar **v)
665 {
666   Mat_MPIBAIJ       *mat    = (Mat_MPIBAIJ*)A->data;
667   Mat_SeqBAIJ       *aa     = (Mat_SeqBAIJ*)(mat->A)->data;
668   Mat_SeqBAIJ       *bb     = (Mat_SeqBAIJ*)(mat->B)->data;
669   const PetscInt    *ai     = aa->i, *bi = bb->i, *aj = aa->j, *bj = bb->j,*ajj, *bjj;
670   const PetscInt    *garray = mat->garray,mbs=mat->mbs,rstart=A->rmap->rstart;
671   const PetscInt    bs2=mat->bs2;
672   PetscErrorCode    ierr;
673   PetscInt          bs,nz,i,j,k,n,jj,irow,countA,countB,idx;
674   PetscInt          *row,*col;
675   const PetscScalar *av=aa->a, *bv=bb->a,*v1,*v2;
676   PetscScalar       *val;
677 
678   PetscFunctionBegin;
679   ierr = MatGetBlockSize(A,&bs);CHKERRQ(ierr);
680   if (reuse == MAT_INITIAL_MATRIX) {
681     nz   = bs2*(aa->nz + bb->nz);
682     *nnz = nz;
683     ierr = PetscMalloc((2*nz*sizeof(PetscInt)+nz*sizeof(PetscScalar)), &row);CHKERRQ(ierr);
684     col  = row + nz;
685     val  = (PetscScalar*)(col + nz);
686 
687     *r = row; *c = col; *v = val;
688   } else {
689     row = *r; col = *c; val = *v;
690   }
691 
692   jj = 0; irow = rstart;
693   for (i=0; i<mbs; i++) {
694     countA = ai[i+1] - ai[i];
695     countB = bi[i+1] - bi[i];
696     ajj    = aj + ai[i];
697     bjj    = bj + bi[i];
698     v1     = av + bs2*ai[i];
699     v2     = bv + bs2*bi[i];
700 
701     idx = 0;
702     /* A-part */
703     for (k=0; k<countA; k++) {
704       for (j=0; j<bs; j++) {
705         for (n=0; n<bs; n++) {
706           if (reuse == MAT_INITIAL_MATRIX) {
707             row[jj] = irow + n + shift;
708             col[jj] = rstart + bs*ajj[k] + j + shift;
709           }
710           val[jj++] = v1[idx++];
711         }
712       }
713     }
714 
715     idx = 0;
716     /* B-part */
717     for (k=0; k<countB; k++) {
718       for (j=0; j<bs; j++) {
719         for (n=0; n<bs; n++) {
720           if (reuse == MAT_INITIAL_MATRIX) {
721             row[jj] = irow + n + shift;
722             col[jj] = bs*garray[bjj[k]] + j + shift;
723           }
724           val[jj++] = v2[idx++];
725         }
726       }
727     }
728     irow += bs;
729   }
730   PetscFunctionReturn(0);
731 }
732 
733 #undef __FUNCT__
734 #define __FUNCT__ "MatConvertToTriples_mpiaij_mpisbaij"
735 PetscErrorCode MatConvertToTriples_mpiaij_mpisbaij(Mat A,int shift,MatReuse reuse,int *nnz,int **r, int **c, PetscScalar **v)
736 {
737   const PetscInt    *ai, *aj,*adiag, *bi, *bj,*garray,m=A->rmap->n,*ajj,*bjj;
738   PetscErrorCode    ierr;
739   PetscInt          rstart,nz,nza,nzb,i,j,jj,irow,countA,countB;
740   PetscInt          *row,*col;
741   const PetscScalar *av, *bv,*v1,*v2;
742   PetscScalar       *val;
743   Mat_MPIAIJ        *mat =  (Mat_MPIAIJ*)A->data;
744   Mat_SeqAIJ        *aa  =(Mat_SeqAIJ*)(mat->A)->data;
745   Mat_SeqAIJ        *bb  =(Mat_SeqAIJ*)(mat->B)->data;
746 
747   PetscFunctionBegin;
748   ai=aa->i; aj=aa->j; adiag=aa->diag;
749   bi=bb->i; bj=bb->j; garray = mat->garray;
750   av=aa->a; bv=bb->a;
751 
752   rstart = A->rmap->rstart;
753 
754   if (reuse == MAT_INITIAL_MATRIX) {
755     nza = 0;    /* num of upper triangular entries in mat->A, including diagonals */
756     nzb = 0;    /* num of upper triangular entries in mat->B */
757     for (i=0; i<m; i++) {
758       nza   += (ai[i+1] - adiag[i]);
759       countB = bi[i+1] - bi[i];
760       bjj    = bj + bi[i];
761       for (j=0; j<countB; j++) {
762         if (garray[bjj[j]] > rstart) nzb++;
763       }
764     }
765 
766     nz   = nza + nzb; /* total nz of upper triangular part of mat */
767     *nnz = nz;
768     ierr = PetscMalloc((2*nz*sizeof(PetscInt)+nz*sizeof(PetscScalar)), &row);CHKERRQ(ierr);
769     col  = row + nz;
770     val  = (PetscScalar*)(col + nz);
771 
772     *r = row; *c = col; *v = val;
773   } else {
774     row = *r; col = *c; val = *v;
775   }
776 
777   jj = 0; irow = rstart;
778   for (i=0; i<m; i++) {
779     ajj    = aj + adiag[i];                 /* ptr to the beginning of the diagonal of this row */
780     v1     = av + adiag[i];
781     countA = ai[i+1] - adiag[i];
782     countB = bi[i+1] - bi[i];
783     bjj    = bj + bi[i];
784     v2     = bv + bi[i];
785 
786     /* A-part */
787     for (j=0; j<countA; j++) {
788       if (reuse == MAT_INITIAL_MATRIX) {
789         row[jj] = irow + shift; col[jj] = rstart + ajj[j] + shift;
790       }
791       val[jj++] = v1[j];
792     }
793 
794     /* B-part */
795     for (j=0; j < countB; j++) {
796       if (garray[bjj[j]] > rstart) {
797         if (reuse == MAT_INITIAL_MATRIX) {
798           row[jj] = irow + shift; col[jj] = garray[bjj[j]] + shift;
799         }
800         val[jj++] = v2[j];
801       }
802     }
803     irow++;
804   }
805   PetscFunctionReturn(0);
806 }
807 
808 #undef __FUNCT__
809 #define __FUNCT__ "MatGetDiagonal_MUMPS"
810 PetscErrorCode MatGetDiagonal_MUMPS(Mat A,Vec v)
811 {
812   PetscFunctionBegin;
813   SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_SUP,"Mat type: MUMPS factor");
814   PetscFunctionReturn(0);
815 }
816 
817 #undef __FUNCT__
818 #define __FUNCT__ "MatDestroy_MUMPS"
819 PetscErrorCode MatDestroy_MUMPS(Mat A)
820 {
821   Mat_MUMPS      *mumps=(Mat_MUMPS*)A->spptr;
822   PetscErrorCode ierr;
823 
824   PetscFunctionBegin;
825   ierr = PetscFree2(mumps->id.sol_loc,mumps->id.isol_loc);CHKERRQ(ierr);
826   ierr = VecScatterDestroy(&mumps->scat_rhs);CHKERRQ(ierr);
827   ierr = VecScatterDestroy(&mumps->scat_sol);CHKERRQ(ierr);
828   ierr = VecDestroy(&mumps->b_seq);CHKERRQ(ierr);
829   ierr = VecDestroy(&mumps->x_seq);CHKERRQ(ierr);
830   ierr = PetscFree(mumps->id.perm_in);CHKERRQ(ierr);
831   ierr = PetscFree(mumps->irn);CHKERRQ(ierr);
832   ierr = PetscFree(mumps->info);CHKERRQ(ierr);
833   ierr = MatMumpsResetSchur_Private(mumps);CHKERRQ(ierr);
834   mumps->id.job = JOB_END;
835   PetscMUMPS_c(&mumps->id);
836   ierr = MPI_Comm_free(&mumps->comm_mumps);CHKERRQ(ierr);
837   if (mumps->Destroy) {
838     ierr = (mumps->Destroy)(A);CHKERRQ(ierr);
839   }
840   ierr = PetscFree(A->spptr);CHKERRQ(ierr);
841 
842   /* clear composed functions */
843   ierr = PetscObjectComposeFunction((PetscObject)A,"MatFactorGetSolverPackage_C",NULL);CHKERRQ(ierr);
844   ierr = PetscObjectComposeFunction((PetscObject)A,"MatFactorSetSchurIS_C",NULL);CHKERRQ(ierr);
845   ierr = PetscObjectComposeFunction((PetscObject)A,"MatFactorInvertSchurComplement_C",NULL);CHKERRQ(ierr);
846   ierr = PetscObjectComposeFunction((PetscObject)A,"MatFactorCreateSchurComplement_C",NULL);CHKERRQ(ierr);
847   ierr = PetscObjectComposeFunction((PetscObject)A,"MatFactorGetSchurComplement_C",NULL);CHKERRQ(ierr);
848   ierr = PetscObjectComposeFunction((PetscObject)A,"MatFactorSolveSchurComplement_C",NULL);CHKERRQ(ierr);
849   ierr = PetscObjectComposeFunction((PetscObject)A,"MatFactorSolveSchurComplementTranspose_C",NULL);CHKERRQ(ierr);
850   ierr = PetscObjectComposeFunction((PetscObject)A,"MatMumpsSetIcntl_C",NULL);CHKERRQ(ierr);
851   ierr = PetscObjectComposeFunction((PetscObject)A,"MatMumpsGetIcntl_C",NULL);CHKERRQ(ierr);
852   ierr = PetscObjectComposeFunction((PetscObject)A,"MatMumpsSetCntl_C",NULL);CHKERRQ(ierr);
853   ierr = PetscObjectComposeFunction((PetscObject)A,"MatMumpsGetCntl_C",NULL);CHKERRQ(ierr);
854   ierr = PetscObjectComposeFunction((PetscObject)A,"MatMumpsGetInfo_C",NULL);CHKERRQ(ierr);
855   ierr = PetscObjectComposeFunction((PetscObject)A,"MatMumpsGetInfog_C",NULL);CHKERRQ(ierr);
856   ierr = PetscObjectComposeFunction((PetscObject)A,"MatMumpsGetRinfo_C",NULL);CHKERRQ(ierr);
857   ierr = PetscObjectComposeFunction((PetscObject)A,"MatMumpsGetRinfog_C",NULL);CHKERRQ(ierr);
858   PetscFunctionReturn(0);
859 }
860 
861 #undef __FUNCT__
862 #define __FUNCT__ "MatSolve_MUMPS"
863 PetscErrorCode MatSolve_MUMPS(Mat A,Vec b,Vec x)
864 {
865   Mat_MUMPS        *mumps=(Mat_MUMPS*)A->spptr;
866   PetscScalar      *array;
867   Vec              b_seq;
868   IS               is_iden,is_petsc;
869   PetscErrorCode   ierr;
870   PetscInt         i;
871   PetscBool        second_solve = PETSC_FALSE;
872   static PetscBool cite1 = PETSC_FALSE,cite2 = PETSC_FALSE;
873 
874   PetscFunctionBegin;
875   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);
876   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);
877   mumps->id.nrhs = 1;
878   b_seq          = mumps->b_seq;
879   if (mumps->size > 1) {
880     /* MUMPS only supports centralized rhs. Scatter b into a seqential rhs vector */
881     ierr = VecScatterBegin(mumps->scat_rhs,b,b_seq,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
882     ierr = VecScatterEnd(mumps->scat_rhs,b,b_seq,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
883     if (!mumps->myid) {ierr = VecGetArray(b_seq,&array);CHKERRQ(ierr);}
884   } else {  /* size == 1 */
885     ierr = VecCopy(b,x);CHKERRQ(ierr);
886     ierr = VecGetArray(x,&array);CHKERRQ(ierr);
887   }
888   if (!mumps->myid) { /* define rhs on the host */
889     mumps->id.nrhs = 1;
890     mumps->id.rhs = (MumpsScalar*)array;
891   }
892 
893   /*
894      handle condensation step of Schur complement (if any)
895      We set by default ICNTL(26) == -1 when Schur indices have been provided by the user.
896      According to MUMPS (5.0.0) manual, any value should be harmful during the factorization phase
897      Unless the user provides a valid value for ICNTL(26), MatSolve and MatMatSolve routines solve the full system.
898      This requires an extra call to PetscMUMPS_c and the computation of the factors for S
899   */
900   if (mumps->id.ICNTL(26) < 0 || mumps->id.ICNTL(26) > 2) {
901     second_solve = PETSC_TRUE;
902     ierr = MatMumpsHandleSchur_Private(mumps,PETSC_FALSE);CHKERRQ(ierr);
903   }
904   /* solve phase */
905   /*-------------*/
906   mumps->id.job = JOB_SOLVE;
907   PetscMUMPS_c(&mumps->id);
908   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));
909 
910   /* handle expansion step of Schur complement (if any) */
911   if (second_solve) {
912     ierr = MatMumpsHandleSchur_Private(mumps,PETSC_TRUE);CHKERRQ(ierr);
913   }
914 
915   if (mumps->size > 1) { /* convert mumps distributed solution to petsc mpi x */
916     if (mumps->scat_sol && mumps->ICNTL9_pre != mumps->id.ICNTL(9)) {
917       /* when id.ICNTL(9) changes, the contents of lsol_loc may change (not its size, lsol_loc), recreates scat_sol */
918       ierr = VecScatterDestroy(&mumps->scat_sol);CHKERRQ(ierr);
919     }
920     if (!mumps->scat_sol) { /* create scatter scat_sol */
921       ierr = ISCreateStride(PETSC_COMM_SELF,mumps->id.lsol_loc,0,1,&is_iden);CHKERRQ(ierr); /* from */
922       for (i=0; i<mumps->id.lsol_loc; i++) {
923         mumps->id.isol_loc[i] -= 1; /* change Fortran style to C style */
924       }
925       ierr = ISCreateGeneral(PETSC_COMM_SELF,mumps->id.lsol_loc,mumps->id.isol_loc,PETSC_COPY_VALUES,&is_petsc);CHKERRQ(ierr);  /* to */
926       ierr = VecScatterCreate(mumps->x_seq,is_iden,x,is_petsc,&mumps->scat_sol);CHKERRQ(ierr);
927       ierr = ISDestroy(&is_iden);CHKERRQ(ierr);
928       ierr = ISDestroy(&is_petsc);CHKERRQ(ierr);
929 
930       mumps->ICNTL9_pre = mumps->id.ICNTL(9); /* save current value of id.ICNTL(9) */
931     }
932 
933     ierr = VecScatterBegin(mumps->scat_sol,mumps->x_seq,x,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
934     ierr = VecScatterEnd(mumps->scat_sol,mumps->x_seq,x,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
935   }
936   PetscFunctionReturn(0);
937 }
938 
939 #undef __FUNCT__
940 #define __FUNCT__ "MatSolveTranspose_MUMPS"
941 PetscErrorCode MatSolveTranspose_MUMPS(Mat A,Vec b,Vec x)
942 {
943   Mat_MUMPS      *mumps=(Mat_MUMPS*)A->spptr;
944   PetscErrorCode ierr;
945 
946   PetscFunctionBegin;
947   mumps->id.ICNTL(9) = 0;
948   ierr = MatSolve_MUMPS(A,b,x);CHKERRQ(ierr);
949   mumps->id.ICNTL(9) = 1;
950   PetscFunctionReturn(0);
951 }
952 
953 #undef __FUNCT__
954 #define __FUNCT__ "MatMatSolve_MUMPS"
955 PetscErrorCode MatMatSolve_MUMPS(Mat A,Mat B,Mat X)
956 {
957   PetscErrorCode ierr;
958   PetscBool      flg;
959   Mat_MUMPS      *mumps=(Mat_MUMPS*)A->spptr;
960   PetscInt       i,nrhs,M;
961   PetscScalar    *array,*bray;
962 
963   PetscFunctionBegin;
964   ierr = PetscObjectTypeCompareAny((PetscObject)B,&flg,MATSEQDENSE,MATMPIDENSE,NULL);CHKERRQ(ierr);
965   if (!flg) SETERRQ(PetscObjectComm((PetscObject)B),PETSC_ERR_ARG_WRONG,"Matrix B must be MATDENSE matrix");
966   ierr = PetscObjectTypeCompareAny((PetscObject)X,&flg,MATSEQDENSE,MATMPIDENSE,NULL);CHKERRQ(ierr);
967   if (!flg) SETERRQ(PetscObjectComm((PetscObject)X),PETSC_ERR_ARG_WRONG,"Matrix X must be MATDENSE matrix");
968   if (B->rmap->n != X->rmap->n) SETERRQ(PetscObjectComm((PetscObject)B),PETSC_ERR_ARG_WRONG,"Matrix B and X must have same row distribution");
969 
970   ierr = MatGetSize(B,&M,&nrhs);CHKERRQ(ierr);
971   mumps->id.nrhs = nrhs;
972   mumps->id.lrhs = M;
973 
974   if (mumps->size == 1) {
975     /* copy B to X */
976     ierr = MatDenseGetArray(B,&bray);CHKERRQ(ierr);
977     ierr = MatDenseGetArray(X,&array);CHKERRQ(ierr);
978     ierr = PetscMemcpy(array,bray,M*nrhs*sizeof(PetscScalar));CHKERRQ(ierr);
979     ierr = MatDenseRestoreArray(B,&bray);CHKERRQ(ierr);
980     mumps->id.rhs = (MumpsScalar*)array;
981     /* handle condensation step of Schur complement (if any) */
982     ierr = MatMumpsHandleSchur_Private(mumps,PETSC_FALSE);CHKERRQ(ierr);
983 
984     /* solve phase */
985     /*-------------*/
986     mumps->id.job = JOB_SOLVE;
987     PetscMUMPS_c(&mumps->id);
988     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));
989 
990     /* handle expansion step of Schur complement (if any) */
991     ierr = MatMumpsHandleSchur_Private(mumps,PETSC_TRUE);CHKERRQ(ierr);
992     ierr = MatDenseRestoreArray(X,&array);CHKERRQ(ierr);
993   } else {  /*--------- parallel case --------*/
994     PetscInt       lsol_loc,nlsol_loc,*isol_loc,*idx,*iidx,*idxx,*isol_loc_save;
995     MumpsScalar    *sol_loc,*sol_loc_save;
996     IS             is_to,is_from;
997     PetscInt       k,proc,j,m;
998     const PetscInt *rstart;
999     Vec            v_mpi,b_seq,x_seq;
1000     VecScatter     scat_rhs,scat_sol;
1001 
1002     /* create x_seq to hold local solution */
1003     isol_loc_save = mumps->id.isol_loc; /* save it for MatSovle() */
1004     sol_loc_save  = mumps->id.sol_loc;
1005 
1006     lsol_loc  = mumps->id.INFO(23);
1007     nlsol_loc = nrhs*lsol_loc;     /* length of sol_loc */
1008     ierr = PetscMalloc2(nlsol_loc,&sol_loc,nlsol_loc,&isol_loc);CHKERRQ(ierr);
1009     mumps->id.sol_loc = (MumpsScalar*)sol_loc;
1010     mumps->id.isol_loc = isol_loc;
1011 
1012     ierr = VecCreateSeqWithArray(PETSC_COMM_SELF,1,nlsol_loc,(PetscScalar*)sol_loc,&x_seq);CHKERRQ(ierr);
1013 
1014     /* copy rhs matrix B into vector v_mpi */
1015     ierr = MatGetLocalSize(B,&m,NULL);CHKERRQ(ierr);
1016     ierr = MatDenseGetArray(B,&bray);CHKERRQ(ierr);
1017     ierr = VecCreateMPIWithArray(PetscObjectComm((PetscObject)B),1,nrhs*m,nrhs*M,(const PetscScalar*)bray,&v_mpi);CHKERRQ(ierr);
1018     ierr = MatDenseRestoreArray(B,&bray);CHKERRQ(ierr);
1019 
1020     /* scatter v_mpi to b_seq because MUMPS only supports centralized rhs */
1021     /* idx: maps from k-th index of v_mpi to (i,j)-th global entry of B;
1022       iidx: inverse of idx, will be used by scattering xx_seq -> X       */
1023     ierr = PetscMalloc2(nrhs*M,&idx,nrhs*M,&iidx);CHKERRQ(ierr);
1024     ierr = MatGetOwnershipRanges(B,&rstart);CHKERRQ(ierr);
1025     k = 0;
1026     for (proc=0; proc<mumps->size; proc++){
1027       for (j=0; j<nrhs; j++){
1028         for (i=rstart[proc]; i<rstart[proc+1]; i++){
1029           iidx[j*M + i] = k;
1030           idx[k++]      = j*M + i;
1031         }
1032       }
1033     }
1034 
1035     if (!mumps->myid) {
1036       ierr = VecCreateSeq(PETSC_COMM_SELF,nrhs*M,&b_seq);CHKERRQ(ierr);
1037       ierr = ISCreateGeneral(PETSC_COMM_SELF,nrhs*M,idx,PETSC_COPY_VALUES,&is_to);CHKERRQ(ierr);
1038       ierr = ISCreateStride(PETSC_COMM_SELF,nrhs*M,0,1,&is_from);CHKERRQ(ierr);
1039     } else {
1040       ierr = VecCreateSeq(PETSC_COMM_SELF,0,&b_seq);CHKERRQ(ierr);
1041       ierr = ISCreateStride(PETSC_COMM_SELF,0,0,1,&is_to);CHKERRQ(ierr);
1042       ierr = ISCreateStride(PETSC_COMM_SELF,0,0,1,&is_from);CHKERRQ(ierr);
1043     }
1044     ierr = VecScatterCreate(v_mpi,is_from,b_seq,is_to,&scat_rhs);CHKERRQ(ierr);
1045     ierr = VecScatterBegin(scat_rhs,v_mpi,b_seq,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1046     ierr = ISDestroy(&is_to);CHKERRQ(ierr);
1047     ierr = ISDestroy(&is_from);CHKERRQ(ierr);
1048     ierr = VecScatterEnd(scat_rhs,v_mpi,b_seq,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1049 
1050     if (!mumps->myid) { /* define rhs on the host */
1051       ierr = VecGetArray(b_seq,&bray);CHKERRQ(ierr);
1052       mumps->id.rhs = (MumpsScalar*)bray;
1053       ierr = VecRestoreArray(b_seq,&bray);CHKERRQ(ierr);
1054     }
1055 
1056     /* solve phase */
1057     /*-------------*/
1058     mumps->id.job = JOB_SOLVE;
1059     PetscMUMPS_c(&mumps->id);
1060     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));
1061 
1062     /* scatter mumps distributed solution to petsc vector v_mpi, which shares local arrays with solution matrix X */
1063     ierr = MatDenseGetArray(X,&array);CHKERRQ(ierr);
1064     ierr = VecPlaceArray(v_mpi,array);CHKERRQ(ierr);
1065 
1066     /* create scatter scat_sol */
1067     ierr = PetscMalloc1(nlsol_loc,&idxx);CHKERRQ(ierr);
1068     ierr = ISCreateStride(PETSC_COMM_SELF,nlsol_loc,0,1,&is_from);CHKERRQ(ierr);
1069     for (i=0; i<lsol_loc; i++) {
1070       isol_loc[i] -= 1; /* change Fortran style to C style */
1071       idxx[i] = iidx[isol_loc[i]];
1072       for (j=1; j<nrhs; j++){
1073         idxx[j*lsol_loc+i] = iidx[isol_loc[i]+j*M];
1074       }
1075     }
1076     ierr = ISCreateGeneral(PETSC_COMM_SELF,nlsol_loc,idxx,PETSC_COPY_VALUES,&is_to);CHKERRQ(ierr);
1077     ierr = VecScatterCreate(x_seq,is_from,v_mpi,is_to,&scat_sol);CHKERRQ(ierr);
1078     ierr = VecScatterBegin(scat_sol,x_seq,v_mpi,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1079     ierr = ISDestroy(&is_from);CHKERRQ(ierr);
1080     ierr = ISDestroy(&is_to);CHKERRQ(ierr);
1081     ierr = VecScatterEnd(scat_sol,x_seq,v_mpi,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1082     ierr = MatDenseRestoreArray(X,&array);CHKERRQ(ierr);
1083 
1084     /* free spaces */
1085     mumps->id.sol_loc = sol_loc_save;
1086     mumps->id.isol_loc = isol_loc_save;
1087 
1088     ierr = PetscFree2(sol_loc,isol_loc);CHKERRQ(ierr);
1089     ierr = PetscFree2(idx,iidx);CHKERRQ(ierr);
1090     ierr = PetscFree(idxx);CHKERRQ(ierr);
1091     ierr = VecDestroy(&x_seq);CHKERRQ(ierr);
1092     ierr = VecDestroy(&v_mpi);CHKERRQ(ierr);
1093     ierr = VecDestroy(&b_seq);CHKERRQ(ierr);
1094     ierr = VecScatterDestroy(&scat_rhs);CHKERRQ(ierr);
1095     ierr = VecScatterDestroy(&scat_sol);CHKERRQ(ierr);
1096   }
1097   PetscFunctionReturn(0);
1098 }
1099 
1100 #if !defined(PETSC_USE_COMPLEX)
1101 /*
1102   input:
1103    F:        numeric factor
1104   output:
1105    nneg:     total number of negative pivots
1106    nzero:    0
1107    npos:     (global dimension of F) - nneg
1108 */
1109 
1110 #undef __FUNCT__
1111 #define __FUNCT__ "MatGetInertia_SBAIJMUMPS"
1112 PetscErrorCode MatGetInertia_SBAIJMUMPS(Mat F,int *nneg,int *nzero,int *npos)
1113 {
1114   Mat_MUMPS      *mumps =(Mat_MUMPS*)F->spptr;
1115   PetscErrorCode ierr;
1116   PetscMPIInt    size;
1117 
1118   PetscFunctionBegin;
1119   ierr = MPI_Comm_size(PetscObjectComm((PetscObject)F),&size);CHKERRQ(ierr);
1120   /* 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 */
1121   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));
1122 
1123   if (nneg) *nneg = mumps->id.INFOG(12);
1124   if (nzero || npos) {
1125     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");
1126     if (nzero) *nzero = mumps->id.INFOG(28);
1127     if (npos) *npos   = F->rmap->N - (mumps->id.INFOG(12) + mumps->id.INFOG(28));
1128   }
1129   PetscFunctionReturn(0);
1130 }
1131 #endif /* !defined(PETSC_USE_COMPLEX) */
1132 
1133 #undef __FUNCT__
1134 #define __FUNCT__ "MatFactorNumeric_MUMPS"
1135 PetscErrorCode MatFactorNumeric_MUMPS(Mat F,Mat A,const MatFactorInfo *info)
1136 {
1137   Mat_MUMPS      *mumps =(Mat_MUMPS*)(F)->spptr;
1138   PetscErrorCode ierr;
1139   Mat            F_diag;
1140   PetscBool      isMPIAIJ;
1141 
1142   PetscFunctionBegin;
1143   ierr = (*mumps->ConvertToTriples)(A, 1, MAT_REUSE_MATRIX, &mumps->nz, &mumps->irn, &mumps->jcn, &mumps->val);CHKERRQ(ierr);
1144 
1145   /* numerical factorization phase */
1146   /*-------------------------------*/
1147   mumps->id.job = JOB_FACTNUMERIC;
1148   if (!mumps->id.ICNTL(18)) { /* A is centralized */
1149     if (!mumps->myid) {
1150       mumps->id.a = (MumpsScalar*)mumps->val;
1151     }
1152   } else {
1153     mumps->id.a_loc = (MumpsScalar*)mumps->val;
1154   }
1155   PetscMUMPS_c(&mumps->id);
1156   if (mumps->id.INFOG(1) < 0) {
1157     if (mumps->id.INFO(1) == -13) {
1158       if (mumps->id.INFO(2) < 0) 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));
1159       else 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));
1160     } 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));
1161   }
1162   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));
1163 
1164   (F)->assembled        = PETSC_TRUE;
1165   mumps->matstruc       = SAME_NONZERO_PATTERN;
1166   mumps->schur_factored = PETSC_FALSE;
1167   mumps->schur_inverted = PETSC_FALSE;
1168 
1169   /* just to be sure that ICNTL(19) value returned by a call from MatMumpsGetIcntl is always consistent */
1170   if (!mumps->sym && mumps->id.ICNTL(19) && mumps->id.ICNTL(19) != 1) mumps->id.ICNTL(19) = 3;
1171 
1172   if (mumps->size > 1) {
1173     PetscInt    lsol_loc;
1174     PetscScalar *sol_loc;
1175 
1176     ierr = PetscObjectTypeCompare((PetscObject)A,MATMPIAIJ,&isMPIAIJ);CHKERRQ(ierr);
1177     if (isMPIAIJ) F_diag = ((Mat_MPIAIJ*)(F)->data)->A;
1178     else F_diag = ((Mat_MPISBAIJ*)(F)->data)->A;
1179     F_diag->assembled = PETSC_TRUE;
1180 
1181     /* distributed solution; Create x_seq=sol_loc for repeated use */
1182     if (mumps->x_seq) {
1183       ierr = VecScatterDestroy(&mumps->scat_sol);CHKERRQ(ierr);
1184       ierr = PetscFree2(mumps->id.sol_loc,mumps->id.isol_loc);CHKERRQ(ierr);
1185       ierr = VecDestroy(&mumps->x_seq);CHKERRQ(ierr);
1186     }
1187     lsol_loc = mumps->id.INFO(23); /* length of sol_loc */
1188     ierr = PetscMalloc2(lsol_loc,&sol_loc,lsol_loc,&mumps->id.isol_loc);CHKERRQ(ierr);
1189     mumps->id.lsol_loc = lsol_loc;
1190     mumps->id.sol_loc = (MumpsScalar*)sol_loc;
1191     ierr = VecCreateSeqWithArray(PETSC_COMM_SELF,1,lsol_loc,sol_loc,&mumps->x_seq);CHKERRQ(ierr);
1192   }
1193   PetscFunctionReturn(0);
1194 }
1195 
1196 /* Sets MUMPS options from the options database */
1197 #undef __FUNCT__
1198 #define __FUNCT__ "PetscSetMUMPSFromOptions"
1199 PetscErrorCode PetscSetMUMPSFromOptions(Mat F, Mat A)
1200 {
1201   Mat_MUMPS      *mumps = (Mat_MUMPS*)F->spptr;
1202   PetscErrorCode ierr;
1203   PetscInt       icntl,info[40],i,ninfo=40;
1204   PetscBool      flg;
1205 
1206   PetscFunctionBegin;
1207   ierr = PetscOptionsBegin(PetscObjectComm((PetscObject)A),((PetscObject)A)->prefix,"MUMPS Options","Mat");CHKERRQ(ierr);
1208   ierr = PetscOptionsInt("-mat_mumps_icntl_1","ICNTL(1): output stream for error messages","None",mumps->id.ICNTL(1),&icntl,&flg);CHKERRQ(ierr);
1209   if (flg) mumps->id.ICNTL(1) = icntl;
1210   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);
1211   if (flg) mumps->id.ICNTL(2) = icntl;
1212   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);
1213   if (flg) mumps->id.ICNTL(3) = icntl;
1214 
1215   ierr = PetscOptionsInt("-mat_mumps_icntl_4","ICNTL(4): level of printing (0 to 4)","None",mumps->id.ICNTL(4),&icntl,&flg);CHKERRQ(ierr);
1216   if (flg) mumps->id.ICNTL(4) = icntl;
1217   if (mumps->id.ICNTL(4) || PetscLogPrintInfo) mumps->id.ICNTL(3) = 6; /* resume MUMPS default id.ICNTL(3) = 6 */
1218 
1219   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);
1220   if (flg) mumps->id.ICNTL(6) = icntl;
1221 
1222   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);
1223   if (flg) {
1224     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");
1225     else mumps->id.ICNTL(7) = icntl;
1226   }
1227 
1228   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);
1229   /* 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() */
1230   ierr = PetscOptionsInt("-mat_mumps_icntl_10","ICNTL(10): max num of refinements","None",mumps->id.ICNTL(10),&mumps->id.ICNTL(10),NULL);CHKERRQ(ierr);
1231   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);
1232   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);
1233   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);
1234   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);
1235   ierr = PetscOptionsInt("-mat_mumps_icntl_19","ICNTL(19): computes the Schur complement","None",mumps->id.ICNTL(19),&mumps->id.ICNTL(19),NULL);CHKERRQ(ierr);
1236   if (mumps->id.ICNTL(19) <= 0 || mumps->id.ICNTL(19) > 3) { /* reset any schur data (if any) */
1237     ierr = MatMumpsResetSchur_Private(mumps);CHKERRQ(ierr);
1238   }
1239   /* 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 */
1240   /* 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 */
1241 
1242   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);
1243   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);
1244   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);
1245   if (mumps->id.ICNTL(24)) {
1246     mumps->id.ICNTL(13) = 1; /* turn-off ScaLAPACK to help with the correct detection of null pivots */
1247   }
1248 
1249   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);
1250   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);
1251   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);
1252   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);
1253   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);
1254   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);
1255   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);
1256   /* 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 */
1257   ierr = PetscOptionsInt("-mat_mumps_icntl_33","ICNTL(33): compute determinant","None",mumps->id.ICNTL(33),&mumps->id.ICNTL(33),NULL);CHKERRQ(ierr);
1258 
1259   ierr = PetscOptionsReal("-mat_mumps_cntl_1","CNTL(1): relative pivoting threshold","None",mumps->id.CNTL(1),&mumps->id.CNTL(1),NULL);CHKERRQ(ierr);
1260   ierr = PetscOptionsReal("-mat_mumps_cntl_2","CNTL(2): stopping criterion of refinement","None",mumps->id.CNTL(2),&mumps->id.CNTL(2),NULL);CHKERRQ(ierr);
1261   ierr = PetscOptionsReal("-mat_mumps_cntl_3","CNTL(3): absolute pivoting threshold","None",mumps->id.CNTL(3),&mumps->id.CNTL(3),NULL);CHKERRQ(ierr);
1262   ierr = PetscOptionsReal("-mat_mumps_cntl_4","CNTL(4): value for static pivoting","None",mumps->id.CNTL(4),&mumps->id.CNTL(4),NULL);CHKERRQ(ierr);
1263   ierr = PetscOptionsReal("-mat_mumps_cntl_5","CNTL(5): fixation for null pivots","None",mumps->id.CNTL(5),&mumps->id.CNTL(5),NULL);CHKERRQ(ierr);
1264 
1265   ierr = PetscOptionsString("-mat_mumps_ooc_tmpdir", "out of core directory", "None", mumps->id.ooc_tmpdir, mumps->id.ooc_tmpdir, 256, NULL);
1266 
1267   ierr = PetscOptionsIntArray("-mat_mumps_view_info","request INFO local to each processor","",info,&ninfo,NULL);CHKERRQ(ierr);
1268   if (ninfo) {
1269     if (ninfo > 40) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_USER,"number of INFO %d must <= 40\n",ninfo);
1270     ierr = PetscMalloc1(ninfo,&mumps->info);CHKERRQ(ierr);
1271     mumps->ninfo = ninfo;
1272     for (i=0; i<ninfo; i++) {
1273       if (info[i] < 0 || info[i]>40) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_USER,"index of INFO %d must between 1 and 40\n",ninfo);
1274       else {
1275         mumps->info[i] = info[i];
1276       }
1277     }
1278   }
1279 
1280   PetscOptionsEnd();
1281   PetscFunctionReturn(0);
1282 }
1283 
1284 #undef __FUNCT__
1285 #define __FUNCT__ "PetscInitializeMUMPS"
1286 PetscErrorCode PetscInitializeMUMPS(Mat A,Mat_MUMPS *mumps)
1287 {
1288   PetscErrorCode ierr;
1289 
1290   PetscFunctionBegin;
1291   ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)A), &mumps->myid);
1292   ierr = MPI_Comm_size(PetscObjectComm((PetscObject)A),&mumps->size);CHKERRQ(ierr);
1293   ierr = MPI_Comm_dup(PetscObjectComm((PetscObject)A),&(mumps->comm_mumps));CHKERRQ(ierr);
1294 
1295   mumps->id.comm_fortran = MPI_Comm_c2f(mumps->comm_mumps);
1296 
1297   mumps->id.job = JOB_INIT;
1298   mumps->id.par = 1;  /* host participates factorizaton and solve */
1299   mumps->id.sym = mumps->sym;
1300   PetscMUMPS_c(&mumps->id);
1301 
1302   mumps->scat_rhs     = NULL;
1303   mumps->scat_sol     = NULL;
1304 
1305   /* set PETSc-MUMPS default options - override MUMPS default */
1306   mumps->id.ICNTL(3) = 0;
1307   mumps->id.ICNTL(4) = 0;
1308   if (mumps->size == 1) {
1309     mumps->id.ICNTL(18) = 0;   /* centralized assembled matrix input */
1310   } else {
1311     mumps->id.ICNTL(18) = 3;   /* distributed assembled matrix input */
1312     mumps->id.ICNTL(20) = 0;   /* rhs is in dense format */
1313     mumps->id.ICNTL(21) = 1;   /* distributed solution */
1314   }
1315 
1316   /* schur */
1317   mumps->id.size_schur      = 0;
1318   mumps->id.listvar_schur   = NULL;
1319   mumps->id.schur           = NULL;
1320   mumps->sizeredrhs         = 0;
1321   mumps->schur_pivots       = NULL;
1322   mumps->schur_work         = NULL;
1323   mumps->schur_sol          = NULL;
1324   mumps->schur_sizesol      = 0;
1325   mumps->schur_factored     = PETSC_FALSE;
1326   mumps->schur_inverted     = PETSC_FALSE;
1327   PetscFunctionReturn(0);
1328 }
1329 
1330 /* Note Petsc r(=c) permutation is used when mumps->id.ICNTL(7)==1 with centralized assembled matrix input; otherwise r and c are ignored */
1331 #undef __FUNCT__
1332 #define __FUNCT__ "MatLUFactorSymbolic_AIJMUMPS"
1333 PetscErrorCode MatLUFactorSymbolic_AIJMUMPS(Mat F,Mat A,IS r,IS c,const MatFactorInfo *info)
1334 {
1335   Mat_MUMPS      *mumps = (Mat_MUMPS*)F->spptr;
1336   PetscErrorCode ierr;
1337   Vec            b;
1338   IS             is_iden;
1339   const PetscInt M = A->rmap->N;
1340 
1341   PetscFunctionBegin;
1342   mumps->matstruc = DIFFERENT_NONZERO_PATTERN;
1343 
1344   /* Set MUMPS options from the options database */
1345   ierr = PetscSetMUMPSFromOptions(F,A);CHKERRQ(ierr);
1346 
1347   ierr = (*mumps->ConvertToTriples)(A, 1, MAT_INITIAL_MATRIX, &mumps->nz, &mumps->irn, &mumps->jcn, &mumps->val);CHKERRQ(ierr);
1348 
1349   /* analysis phase */
1350   /*----------------*/
1351   mumps->id.job = JOB_FACTSYMBOLIC;
1352   mumps->id.n   = M;
1353   switch (mumps->id.ICNTL(18)) {
1354   case 0:  /* centralized assembled matrix input */
1355     if (!mumps->myid) {
1356       mumps->id.nz =mumps->nz; mumps->id.irn=mumps->irn; mumps->id.jcn=mumps->jcn;
1357       if (mumps->id.ICNTL(6)>1) {
1358         mumps->id.a = (MumpsScalar*)mumps->val;
1359       }
1360       if (mumps->id.ICNTL(7) == 1) { /* use user-provide matrix ordering - assuming r = c ordering */
1361         /*
1362         PetscBool      flag;
1363         ierr = ISEqual(r,c,&flag);CHKERRQ(ierr);
1364         if (!flag) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_USER,"row_perm != col_perm");
1365         ierr = ISView(r,PETSC_VIEWER_STDOUT_SELF);
1366          */
1367         if (!mumps->myid) {
1368           const PetscInt *idx;
1369           PetscInt       i,*perm_in;
1370 
1371           ierr = PetscMalloc1(M,&perm_in);CHKERRQ(ierr);
1372           ierr = ISGetIndices(r,&idx);CHKERRQ(ierr);
1373 
1374           mumps->id.perm_in = perm_in;
1375           for (i=0; i<M; i++) perm_in[i] = idx[i]+1; /* perm_in[]: start from 1, not 0! */
1376           ierr = ISRestoreIndices(r,&idx);CHKERRQ(ierr);
1377         }
1378       }
1379     }
1380     break;
1381   case 3:  /* distributed assembled matrix input (size>1) */
1382     mumps->id.nz_loc = mumps->nz;
1383     mumps->id.irn_loc=mumps->irn; mumps->id.jcn_loc=mumps->jcn;
1384     if (mumps->id.ICNTL(6)>1) {
1385       mumps->id.a_loc = (MumpsScalar*)mumps->val;
1386     }
1387     /* MUMPS only supports centralized rhs. Create scatter scat_rhs for repeated use in MatSolve() */
1388     if (!mumps->myid) {
1389       ierr = VecCreateSeq(PETSC_COMM_SELF,A->rmap->N,&mumps->b_seq);CHKERRQ(ierr);
1390       ierr = ISCreateStride(PETSC_COMM_SELF,A->rmap->N,0,1,&is_iden);CHKERRQ(ierr);
1391     } else {
1392       ierr = VecCreateSeq(PETSC_COMM_SELF,0,&mumps->b_seq);CHKERRQ(ierr);
1393       ierr = ISCreateStride(PETSC_COMM_SELF,0,0,1,&is_iden);CHKERRQ(ierr);
1394     }
1395     ierr = MatCreateVecs(A,NULL,&b);CHKERRQ(ierr);
1396     ierr = VecScatterCreate(b,is_iden,mumps->b_seq,is_iden,&mumps->scat_rhs);CHKERRQ(ierr);
1397     ierr = ISDestroy(&is_iden);CHKERRQ(ierr);
1398     ierr = VecDestroy(&b);CHKERRQ(ierr);
1399     break;
1400   }
1401   PetscMUMPS_c(&mumps->id);
1402   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));
1403 
1404   F->ops->lufactornumeric = MatFactorNumeric_MUMPS;
1405   F->ops->solve           = MatSolve_MUMPS;
1406   F->ops->solvetranspose  = MatSolveTranspose_MUMPS;
1407   F->ops->matsolve        = MatMatSolve_MUMPS;
1408   PetscFunctionReturn(0);
1409 }
1410 
1411 /* Note the Petsc r and c permutations are ignored */
1412 #undef __FUNCT__
1413 #define __FUNCT__ "MatLUFactorSymbolic_BAIJMUMPS"
1414 PetscErrorCode MatLUFactorSymbolic_BAIJMUMPS(Mat F,Mat A,IS r,IS c,const MatFactorInfo *info)
1415 {
1416   Mat_MUMPS      *mumps = (Mat_MUMPS*)F->spptr;
1417   PetscErrorCode ierr;
1418   Vec            b;
1419   IS             is_iden;
1420   const PetscInt M = A->rmap->N;
1421 
1422   PetscFunctionBegin;
1423   mumps->matstruc = DIFFERENT_NONZERO_PATTERN;
1424 
1425   /* Set MUMPS options from the options database */
1426   ierr = PetscSetMUMPSFromOptions(F,A);CHKERRQ(ierr);
1427 
1428   ierr = (*mumps->ConvertToTriples)(A, 1, MAT_INITIAL_MATRIX, &mumps->nz, &mumps->irn, &mumps->jcn, &mumps->val);CHKERRQ(ierr);
1429 
1430   /* analysis phase */
1431   /*----------------*/
1432   mumps->id.job = JOB_FACTSYMBOLIC;
1433   mumps->id.n   = M;
1434   switch (mumps->id.ICNTL(18)) {
1435   case 0:  /* centralized assembled matrix input */
1436     if (!mumps->myid) {
1437       mumps->id.nz =mumps->nz; mumps->id.irn=mumps->irn; mumps->id.jcn=mumps->jcn;
1438       if (mumps->id.ICNTL(6)>1) {
1439         mumps->id.a = (MumpsScalar*)mumps->val;
1440       }
1441     }
1442     break;
1443   case 3:  /* distributed assembled matrix input (size>1) */
1444     mumps->id.nz_loc = mumps->nz;
1445     mumps->id.irn_loc=mumps->irn; mumps->id.jcn_loc=mumps->jcn;
1446     if (mumps->id.ICNTL(6)>1) {
1447       mumps->id.a_loc = (MumpsScalar*)mumps->val;
1448     }
1449     /* MUMPS only supports centralized rhs. Create scatter scat_rhs for repeated use in MatSolve() */
1450     if (!mumps->myid) {
1451       ierr = VecCreateSeq(PETSC_COMM_SELF,A->cmap->N,&mumps->b_seq);CHKERRQ(ierr);
1452       ierr = ISCreateStride(PETSC_COMM_SELF,A->cmap->N,0,1,&is_iden);CHKERRQ(ierr);
1453     } else {
1454       ierr = VecCreateSeq(PETSC_COMM_SELF,0,&mumps->b_seq);CHKERRQ(ierr);
1455       ierr = ISCreateStride(PETSC_COMM_SELF,0,0,1,&is_iden);CHKERRQ(ierr);
1456     }
1457     ierr = MatCreateVecs(A,NULL,&b);CHKERRQ(ierr);
1458     ierr = VecScatterCreate(b,is_iden,mumps->b_seq,is_iden,&mumps->scat_rhs);CHKERRQ(ierr);
1459     ierr = ISDestroy(&is_iden);CHKERRQ(ierr);
1460     ierr = VecDestroy(&b);CHKERRQ(ierr);
1461     break;
1462   }
1463   PetscMUMPS_c(&mumps->id);
1464   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));
1465 
1466   F->ops->lufactornumeric = MatFactorNumeric_MUMPS;
1467   F->ops->solve           = MatSolve_MUMPS;
1468   F->ops->solvetranspose  = MatSolveTranspose_MUMPS;
1469   PetscFunctionReturn(0);
1470 }
1471 
1472 /* Note the Petsc r permutation and factor info are ignored */
1473 #undef __FUNCT__
1474 #define __FUNCT__ "MatCholeskyFactorSymbolic_MUMPS"
1475 PetscErrorCode MatCholeskyFactorSymbolic_MUMPS(Mat F,Mat A,IS r,const MatFactorInfo *info)
1476 {
1477   Mat_MUMPS      *mumps = (Mat_MUMPS*)F->spptr;
1478   PetscErrorCode ierr;
1479   Vec            b;
1480   IS             is_iden;
1481   const PetscInt M = A->rmap->N;
1482 
1483   PetscFunctionBegin;
1484   mumps->matstruc = DIFFERENT_NONZERO_PATTERN;
1485 
1486   /* Set MUMPS options from the options database */
1487   ierr = PetscSetMUMPSFromOptions(F,A);CHKERRQ(ierr);
1488 
1489   ierr = (*mumps->ConvertToTriples)(A, 1, MAT_INITIAL_MATRIX, &mumps->nz, &mumps->irn, &mumps->jcn, &mumps->val);CHKERRQ(ierr);
1490 
1491   /* analysis phase */
1492   /*----------------*/
1493   mumps->id.job = JOB_FACTSYMBOLIC;
1494   mumps->id.n   = M;
1495   switch (mumps->id.ICNTL(18)) {
1496   case 0:  /* centralized assembled matrix input */
1497     if (!mumps->myid) {
1498       mumps->id.nz =mumps->nz; mumps->id.irn=mumps->irn; mumps->id.jcn=mumps->jcn;
1499       if (mumps->id.ICNTL(6)>1) {
1500         mumps->id.a = (MumpsScalar*)mumps->val;
1501       }
1502     }
1503     break;
1504   case 3:  /* distributed assembled matrix input (size>1) */
1505     mumps->id.nz_loc = mumps->nz;
1506     mumps->id.irn_loc=mumps->irn; mumps->id.jcn_loc=mumps->jcn;
1507     if (mumps->id.ICNTL(6)>1) {
1508       mumps->id.a_loc = (MumpsScalar*)mumps->val;
1509     }
1510     /* MUMPS only supports centralized rhs. Create scatter scat_rhs for repeated use in MatSolve() */
1511     if (!mumps->myid) {
1512       ierr = VecCreateSeq(PETSC_COMM_SELF,A->cmap->N,&mumps->b_seq);CHKERRQ(ierr);
1513       ierr = ISCreateStride(PETSC_COMM_SELF,A->cmap->N,0,1,&is_iden);CHKERRQ(ierr);
1514     } else {
1515       ierr = VecCreateSeq(PETSC_COMM_SELF,0,&mumps->b_seq);CHKERRQ(ierr);
1516       ierr = ISCreateStride(PETSC_COMM_SELF,0,0,1,&is_iden);CHKERRQ(ierr);
1517     }
1518     ierr = MatCreateVecs(A,NULL,&b);CHKERRQ(ierr);
1519     ierr = VecScatterCreate(b,is_iden,mumps->b_seq,is_iden,&mumps->scat_rhs);CHKERRQ(ierr);
1520     ierr = ISDestroy(&is_iden);CHKERRQ(ierr);
1521     ierr = VecDestroy(&b);CHKERRQ(ierr);
1522     break;
1523   }
1524   PetscMUMPS_c(&mumps->id);
1525   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));
1526 
1527   F->ops->choleskyfactornumeric = MatFactorNumeric_MUMPS;
1528   F->ops->solve                 = MatSolve_MUMPS;
1529   F->ops->solvetranspose        = MatSolve_MUMPS;
1530   F->ops->matsolve              = MatMatSolve_MUMPS;
1531 #if defined(PETSC_USE_COMPLEX)
1532   F->ops->getinertia = NULL;
1533 #else
1534   F->ops->getinertia = MatGetInertia_SBAIJMUMPS;
1535 #endif
1536   PetscFunctionReturn(0);
1537 }
1538 
1539 #undef __FUNCT__
1540 #define __FUNCT__ "MatView_MUMPS"
1541 PetscErrorCode MatView_MUMPS(Mat A,PetscViewer viewer)
1542 {
1543   PetscErrorCode    ierr;
1544   PetscBool         iascii;
1545   PetscViewerFormat format;
1546   Mat_MUMPS         *mumps=(Mat_MUMPS*)A->spptr;
1547 
1548   PetscFunctionBegin;
1549   /* check if matrix is mumps type */
1550   if (A->ops->solve != MatSolve_MUMPS) PetscFunctionReturn(0);
1551 
1552   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&iascii);CHKERRQ(ierr);
1553   if (iascii) {
1554     ierr = PetscViewerGetFormat(viewer,&format);CHKERRQ(ierr);
1555     if (format == PETSC_VIEWER_ASCII_INFO) {
1556       ierr = PetscViewerASCIIPrintf(viewer,"MUMPS run parameters:\n");CHKERRQ(ierr);
1557       ierr = PetscViewerASCIIPrintf(viewer,"  SYM (matrix type):                   %d \n",mumps->id.sym);CHKERRQ(ierr);
1558       ierr = PetscViewerASCIIPrintf(viewer,"  PAR (host participation):            %d \n",mumps->id.par);CHKERRQ(ierr);
1559       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(1) (output for error):         %d \n",mumps->id.ICNTL(1));CHKERRQ(ierr);
1560       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(2) (output of diagnostic msg): %d \n",mumps->id.ICNTL(2));CHKERRQ(ierr);
1561       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(3) (output for global info):   %d \n",mumps->id.ICNTL(3));CHKERRQ(ierr);
1562       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(4) (level of printing):        %d \n",mumps->id.ICNTL(4));CHKERRQ(ierr);
1563       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(5) (input mat struct):         %d \n",mumps->id.ICNTL(5));CHKERRQ(ierr);
1564       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(6) (matrix prescaling):        %d \n",mumps->id.ICNTL(6));CHKERRQ(ierr);
1565       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(7) (sequentia matrix ordering):%d \n",mumps->id.ICNTL(7));CHKERRQ(ierr);
1566       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(8) (scalling strategy):        %d \n",mumps->id.ICNTL(8));CHKERRQ(ierr);
1567       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(10) (max num of refinements):  %d \n",mumps->id.ICNTL(10));CHKERRQ(ierr);
1568       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(11) (error analysis):          %d \n",mumps->id.ICNTL(11));CHKERRQ(ierr);
1569       if (mumps->id.ICNTL(11)>0) {
1570         ierr = PetscViewerASCIIPrintf(viewer,"    RINFOG(4) (inf norm of input mat):        %g\n",mumps->id.RINFOG(4));CHKERRQ(ierr);
1571         ierr = PetscViewerASCIIPrintf(viewer,"    RINFOG(5) (inf norm of solution):         %g\n",mumps->id.RINFOG(5));CHKERRQ(ierr);
1572         ierr = PetscViewerASCIIPrintf(viewer,"    RINFOG(6) (inf norm of residual):         %g\n",mumps->id.RINFOG(6));CHKERRQ(ierr);
1573         ierr = PetscViewerASCIIPrintf(viewer,"    RINFOG(7),RINFOG(8) (backward error est): %g, %g\n",mumps->id.RINFOG(7),mumps->id.RINFOG(8));CHKERRQ(ierr);
1574         ierr = PetscViewerASCIIPrintf(viewer,"    RINFOG(9) (error estimate):               %g \n",mumps->id.RINFOG(9));CHKERRQ(ierr);
1575         ierr = PetscViewerASCIIPrintf(viewer,"    RINFOG(10),RINFOG(11)(condition numbers): %g, %g\n",mumps->id.RINFOG(10),mumps->id.RINFOG(11));CHKERRQ(ierr);
1576       }
1577       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(12) (efficiency control):                         %d \n",mumps->id.ICNTL(12));CHKERRQ(ierr);
1578       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(13) (efficiency control):                         %d \n",mumps->id.ICNTL(13));CHKERRQ(ierr);
1579       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(14) (percentage of estimated workspace increase): %d \n",mumps->id.ICNTL(14));CHKERRQ(ierr);
1580       /* ICNTL(15-17) not used */
1581       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(18) (input mat struct):                           %d \n",mumps->id.ICNTL(18));CHKERRQ(ierr);
1582       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(19) (Shur complement info):                       %d \n",mumps->id.ICNTL(19));CHKERRQ(ierr);
1583       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(20) (rhs sparse pattern):                         %d \n",mumps->id.ICNTL(20));CHKERRQ(ierr);
1584       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(21) (solution struct):                            %d \n",mumps->id.ICNTL(21));CHKERRQ(ierr);
1585       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(22) (in-core/out-of-core facility):               %d \n",mumps->id.ICNTL(22));CHKERRQ(ierr);
1586       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(23) (max size of memory can be allocated locally):%d \n",mumps->id.ICNTL(23));CHKERRQ(ierr);
1587 
1588       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(24) (detection of null pivot rows):               %d \n",mumps->id.ICNTL(24));CHKERRQ(ierr);
1589       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(25) (computation of a null space basis):          %d \n",mumps->id.ICNTL(25));CHKERRQ(ierr);
1590       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(26) (Schur options for rhs or solution):          %d \n",mumps->id.ICNTL(26));CHKERRQ(ierr);
1591       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(27) (experimental parameter):                     %d \n",mumps->id.ICNTL(27));CHKERRQ(ierr);
1592       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(28) (use parallel or sequential ordering):        %d \n",mumps->id.ICNTL(28));CHKERRQ(ierr);
1593       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(29) (parallel ordering):                          %d \n",mumps->id.ICNTL(29));CHKERRQ(ierr);
1594 
1595       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(30) (user-specified set of entries in inv(A)):    %d \n",mumps->id.ICNTL(30));CHKERRQ(ierr);
1596       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(31) (factors is discarded in the solve phase):    %d \n",mumps->id.ICNTL(31));CHKERRQ(ierr);
1597       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(33) (compute determinant):                        %d \n",mumps->id.ICNTL(33));CHKERRQ(ierr);
1598 
1599       ierr = PetscViewerASCIIPrintf(viewer,"  CNTL(1) (relative pivoting threshold):      %g \n",mumps->id.CNTL(1));CHKERRQ(ierr);
1600       ierr = PetscViewerASCIIPrintf(viewer,"  CNTL(2) (stopping criterion of refinement): %g \n",mumps->id.CNTL(2));CHKERRQ(ierr);
1601       ierr = PetscViewerASCIIPrintf(viewer,"  CNTL(3) (absolute pivoting threshold):      %g \n",mumps->id.CNTL(3));CHKERRQ(ierr);
1602       ierr = PetscViewerASCIIPrintf(viewer,"  CNTL(4) (value of static pivoting):         %g \n",mumps->id.CNTL(4));CHKERRQ(ierr);
1603       ierr = PetscViewerASCIIPrintf(viewer,"  CNTL(5) (fixation for null pivots):         %g \n",mumps->id.CNTL(5));CHKERRQ(ierr);
1604 
1605       /* infomation local to each processor */
1606       ierr = PetscViewerASCIIPrintf(viewer, "  RINFO(1) (local estimated flops for the elimination after analysis): \n");CHKERRQ(ierr);
1607       ierr = PetscViewerASCIIPushSynchronized(viewer);CHKERRQ(ierr);
1608       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"    [%d] %g \n",mumps->myid,mumps->id.RINFO(1));CHKERRQ(ierr);
1609       ierr = PetscViewerFlush(viewer);
1610       ierr = PetscViewerASCIIPrintf(viewer, "  RINFO(2) (local estimated flops for the assembly after factorization): \n");CHKERRQ(ierr);
1611       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"    [%d]  %g \n",mumps->myid,mumps->id.RINFO(2));CHKERRQ(ierr);
1612       ierr = PetscViewerFlush(viewer);
1613       ierr = PetscViewerASCIIPrintf(viewer, "  RINFO(3) (local estimated flops for the elimination after factorization): \n");CHKERRQ(ierr);
1614       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"    [%d]  %g \n",mumps->myid,mumps->id.RINFO(3));CHKERRQ(ierr);
1615       ierr = PetscViewerFlush(viewer);
1616 
1617       ierr = PetscViewerASCIIPrintf(viewer, "  INFO(15) (estimated size of (in MB) MUMPS internal data for running numerical factorization): \n");CHKERRQ(ierr);
1618       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"  [%d] %d \n",mumps->myid,mumps->id.INFO(15));CHKERRQ(ierr);
1619       ierr = PetscViewerFlush(viewer);
1620 
1621       ierr = PetscViewerASCIIPrintf(viewer, "  INFO(16) (size of (in MB) MUMPS internal data used during numerical factorization): \n");CHKERRQ(ierr);
1622       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"    [%d] %d \n",mumps->myid,mumps->id.INFO(16));CHKERRQ(ierr);
1623       ierr = PetscViewerFlush(viewer);
1624 
1625       ierr = PetscViewerASCIIPrintf(viewer, "  INFO(23) (num of pivots eliminated on this processor after factorization): \n");CHKERRQ(ierr);
1626       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"    [%d] %d \n",mumps->myid,mumps->id.INFO(23));CHKERRQ(ierr);
1627       ierr = PetscViewerFlush(viewer);
1628 
1629       if (mumps->ninfo && mumps->ninfo <= 40){
1630         PetscInt i;
1631         for (i=0; i<mumps->ninfo; i++){
1632           ierr = PetscViewerASCIIPrintf(viewer, "  INFO(%d): \n",mumps->info[i]);CHKERRQ(ierr);
1633           ierr = PetscViewerASCIISynchronizedPrintf(viewer,"    [%d] %d \n",mumps->myid,mumps->id.INFO(mumps->info[i]));CHKERRQ(ierr);
1634           ierr = PetscViewerFlush(viewer);
1635         }
1636       }
1637 
1638 
1639       ierr = PetscViewerASCIIPopSynchronized(viewer);CHKERRQ(ierr);
1640 
1641       if (!mumps->myid) { /* information from the host */
1642         ierr = PetscViewerASCIIPrintf(viewer,"  RINFOG(1) (global estimated flops for the elimination after analysis): %g \n",mumps->id.RINFOG(1));CHKERRQ(ierr);
1643         ierr = PetscViewerASCIIPrintf(viewer,"  RINFOG(2) (global estimated flops for the assembly after factorization): %g \n",mumps->id.RINFOG(2));CHKERRQ(ierr);
1644         ierr = PetscViewerASCIIPrintf(viewer,"  RINFOG(3) (global estimated flops for the elimination after factorization): %g \n",mumps->id.RINFOG(3));CHKERRQ(ierr);
1645         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);
1646 
1647         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(3) (estimated real workspace for factors on all processors after analysis): %d \n",mumps->id.INFOG(3));CHKERRQ(ierr);
1648         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(4) (estimated integer workspace for factors on all processors after analysis): %d \n",mumps->id.INFOG(4));CHKERRQ(ierr);
1649         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(5) (estimated maximum front size in the complete tree): %d \n",mumps->id.INFOG(5));CHKERRQ(ierr);
1650         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(6) (number of nodes in the complete tree): %d \n",mumps->id.INFOG(6));CHKERRQ(ierr);
1651         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(7) (ordering option effectively use after analysis): %d \n",mumps->id.INFOG(7));CHKERRQ(ierr);
1652         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(8) (structural symmetry in percent of the permuted matrix after analysis): %d \n",mumps->id.INFOG(8));CHKERRQ(ierr);
1653         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(9) (total real/complex workspace to store the matrix factors after factorization): %d \n",mumps->id.INFOG(9));CHKERRQ(ierr);
1654         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(10) (total integer space store the matrix factors after factorization): %d \n",mumps->id.INFOG(10));CHKERRQ(ierr);
1655         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(11) (order of largest frontal matrix after factorization): %d \n",mumps->id.INFOG(11));CHKERRQ(ierr);
1656         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(12) (number of off-diagonal pivots): %d \n",mumps->id.INFOG(12));CHKERRQ(ierr);
1657         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(13) (number of delayed pivots after factorization): %d \n",mumps->id.INFOG(13));CHKERRQ(ierr);
1658         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(14) (number of memory compress after factorization): %d \n",mumps->id.INFOG(14));CHKERRQ(ierr);
1659         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(15) (number of steps of iterative refinement after solution): %d \n",mumps->id.INFOG(15));CHKERRQ(ierr);
1660         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);
1661         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);
1662         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);
1663         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);
1664         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(20) (estimated number of entries in the factors): %d \n",mumps->id.INFOG(20));CHKERRQ(ierr);
1665         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);
1666         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);
1667         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(23) (after analysis: value of ICNTL(6) effectively used): %d \n",mumps->id.INFOG(23));CHKERRQ(ierr);
1668         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(24) (after analysis: value of ICNTL(12) effectively used): %d \n",mumps->id.INFOG(24));CHKERRQ(ierr);
1669         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(25) (after factorization: number of pivots modified by static pivoting): %d \n",mumps->id.INFOG(25));CHKERRQ(ierr);
1670         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(28) (after factorization: number of null pivots encountered): %d\n",mumps->id.INFOG(28));CHKERRQ(ierr);
1671         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);
1672         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);
1673         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(32) (after analysis: type of analysis done): %d\n",mumps->id.INFOG(32));CHKERRQ(ierr);
1674         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(33) (value used for ICNTL(8)): %d\n",mumps->id.INFOG(33));CHKERRQ(ierr);
1675         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(34) (exponent of the determinant if determinant is requested): %d\n",mumps->id.INFOG(34));CHKERRQ(ierr);
1676       }
1677     }
1678   }
1679   PetscFunctionReturn(0);
1680 }
1681 
1682 #undef __FUNCT__
1683 #define __FUNCT__ "MatGetInfo_MUMPS"
1684 PetscErrorCode MatGetInfo_MUMPS(Mat A,MatInfoType flag,MatInfo *info)
1685 {
1686   Mat_MUMPS *mumps =(Mat_MUMPS*)A->spptr;
1687 
1688   PetscFunctionBegin;
1689   info->block_size        = 1.0;
1690   info->nz_allocated      = mumps->id.INFOG(20);
1691   info->nz_used           = mumps->id.INFOG(20);
1692   info->nz_unneeded       = 0.0;
1693   info->assemblies        = 0.0;
1694   info->mallocs           = 0.0;
1695   info->memory            = 0.0;
1696   info->fill_ratio_given  = 0;
1697   info->fill_ratio_needed = 0;
1698   info->factor_mallocs    = 0;
1699   PetscFunctionReturn(0);
1700 }
1701 
1702 /* -------------------------------------------------------------------------------------------*/
1703 #undef __FUNCT__
1704 #define __FUNCT__ "MatFactorSetSchurIS_MUMPS"
1705 PetscErrorCode MatFactorSetSchurIS_MUMPS(Mat F, IS is)
1706 {
1707   Mat_MUMPS      *mumps =(Mat_MUMPS*)F->spptr;
1708   const PetscInt *idxs;
1709   PetscInt       size,i;
1710   PetscErrorCode ierr;
1711 
1712   PetscFunctionBegin;
1713   if (mumps->size > 1) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"MUMPS parallel Schur complements not yet supported from PETSc\n");
1714   ierr = ISGetLocalSize(is,&size);CHKERRQ(ierr);
1715   if (mumps->id.size_schur != size) {
1716     ierr = PetscFree2(mumps->id.listvar_schur,mumps->id.schur);CHKERRQ(ierr);
1717     mumps->id.size_schur = size;
1718     mumps->id.schur_lld = size;
1719     ierr = PetscMalloc2(size,&mumps->id.listvar_schur,size*size,&mumps->id.schur);CHKERRQ(ierr);
1720   }
1721   ierr = ISGetIndices(is,&idxs);CHKERRQ(ierr);
1722   ierr = PetscMemcpy(mumps->id.listvar_schur,idxs,size*sizeof(PetscInt));CHKERRQ(ierr);
1723   /* MUMPS expects Fortran style indices */
1724   for (i=0;i<size;i++) mumps->id.listvar_schur[i]++;
1725   ierr = ISRestoreIndices(is,&idxs);CHKERRQ(ierr);
1726   if (size) { /* turn on Schur switch if we the set of indices is not empty */
1727     if (F->factortype == MAT_FACTOR_LU) {
1728       mumps->id.ICNTL(19) = 3; /* MUMPS returns full matrix */
1729     } else {
1730       mumps->id.ICNTL(19) = 2; /* MUMPS returns lower triangular part */
1731     }
1732     /* set a special value of ICNTL (not handled my MUMPS) to be used in the solve phase by PETSc */
1733     mumps->id.ICNTL(26) = -1;
1734   }
1735   PetscFunctionReturn(0);
1736 }
1737 
1738 /* -------------------------------------------------------------------------------------------*/
1739 #undef __FUNCT__
1740 #define __FUNCT__ "MatFactorCreateSchurComplement_MUMPS"
1741 PetscErrorCode MatFactorCreateSchurComplement_MUMPS(Mat F,Mat* S)
1742 {
1743   Mat            St;
1744   Mat_MUMPS      *mumps =(Mat_MUMPS*)F->spptr;
1745   PetscScalar    *array;
1746 #if defined(PETSC_USE_COMPLEX)
1747   PetscScalar    im = PetscSqrtScalar((PetscScalar)-1.0);
1748 #endif
1749   PetscErrorCode ierr;
1750 
1751   PetscFunctionBegin;
1752   if (!mumps->id.ICNTL(19)) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur complement mode not selected! You should call MatFactorSetSchurIS to enable it");
1753   else if (!mumps->id.size_schur) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur indices not set! You should call MatFactorSetSchurIS before");
1754 
1755   ierr = MatCreate(PetscObjectComm((PetscObject)F),&St);CHKERRQ(ierr);
1756   ierr = MatSetSizes(St,PETSC_DECIDE,PETSC_DECIDE,mumps->id.size_schur,mumps->id.size_schur);CHKERRQ(ierr);
1757   ierr = MatSetType(St,MATDENSE);CHKERRQ(ierr);
1758   ierr = MatSetUp(St);CHKERRQ(ierr);
1759   ierr = MatDenseGetArray(St,&array);CHKERRQ(ierr);
1760   if (!mumps->sym) { /* MUMPS always return a full matrix */
1761     if (mumps->id.ICNTL(19) == 1) { /* stored by rows */
1762       PetscInt i,j,N=mumps->id.size_schur;
1763       for (i=0;i<N;i++) {
1764         for (j=0;j<N;j++) {
1765 #if !defined(PETSC_USE_COMPLEX)
1766           PetscScalar val = mumps->id.schur[i*N+j];
1767 #else
1768           PetscScalar val = mumps->id.schur[i*N+j].r + im*mumps->id.schur[i*N+j].i;
1769 #endif
1770           array[j*N+i] = val;
1771         }
1772       }
1773     } else { /* stored by columns */
1774       ierr = PetscMemcpy(array,mumps->id.schur,mumps->id.size_schur*mumps->id.size_schur*sizeof(PetscScalar));CHKERRQ(ierr);
1775     }
1776   } else { /* either full or lower-triangular (not packed) */
1777     if (mumps->id.ICNTL(19) == 2) { /* lower triangular stored by columns */
1778       PetscInt i,j,N=mumps->id.size_schur;
1779       for (i=0;i<N;i++) {
1780         for (j=i;j<N;j++) {
1781 #if !defined(PETSC_USE_COMPLEX)
1782           PetscScalar val = mumps->id.schur[i*N+j];
1783 #else
1784           PetscScalar val = mumps->id.schur[i*N+j].r + im*mumps->id.schur[i*N+j].i;
1785 #endif
1786           array[i*N+j] = val;
1787           array[j*N+i] = val;
1788         }
1789       }
1790     } else if (mumps->id.ICNTL(19) == 3) { /* full matrix */
1791       ierr = PetscMemcpy(array,mumps->id.schur,mumps->id.size_schur*mumps->id.size_schur*sizeof(PetscScalar));CHKERRQ(ierr);
1792     } else { /* ICNTL(19) == 1 lower triangular stored by rows */
1793       PetscInt i,j,N=mumps->id.size_schur;
1794       for (i=0;i<N;i++) {
1795         for (j=0;j<i+1;j++) {
1796 #if !defined(PETSC_USE_COMPLEX)
1797           PetscScalar val = mumps->id.schur[i*N+j];
1798 #else
1799           PetscScalar val = mumps->id.schur[i*N+j].r + im*mumps->id.schur[i*N+j].i;
1800 #endif
1801           array[i*N+j] = val;
1802           array[j*N+i] = val;
1803         }
1804       }
1805     }
1806   }
1807   ierr = MatDenseRestoreArray(St,&array);CHKERRQ(ierr);
1808   *S = St;
1809   PetscFunctionReturn(0);
1810 }
1811 
1812 /* -------------------------------------------------------------------------------------------*/
1813 #undef __FUNCT__
1814 #define __FUNCT__ "MatFactorGetSchurComplement_MUMPS"
1815 PetscErrorCode MatFactorGetSchurComplement_MUMPS(Mat F,Mat* S)
1816 {
1817   Mat            St;
1818   Mat_MUMPS      *mumps =(Mat_MUMPS*)F->spptr;
1819   PetscErrorCode ierr;
1820 
1821   PetscFunctionBegin;
1822   if (!mumps->id.ICNTL(19)) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur complement mode not selected! You should call MatFactorSetSchurIS to enable it");
1823   else if (!mumps->id.size_schur) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur indices not set! You should call MatFactorSetSchurIS before");
1824 
1825   /* It should be the responsibility of the user to handle different ICNTL(19) cases and factorization stages if they want to work with the raw data */
1826   ierr = MatCreateSeqDense(PetscObjectComm((PetscObject)F),mumps->id.size_schur,mumps->id.size_schur,(PetscScalar*)mumps->id.schur,&St);CHKERRQ(ierr);
1827   *S = St;
1828   PetscFunctionReturn(0);
1829 }
1830 
1831 /* -------------------------------------------------------------------------------------------*/
1832 #undef __FUNCT__
1833 #define __FUNCT__ "MatFactorInvertSchurComplement_MUMPS"
1834 PetscErrorCode MatFactorInvertSchurComplement_MUMPS(Mat F)
1835 {
1836   Mat_MUMPS      *mumps =(Mat_MUMPS*)F->spptr;
1837   PetscErrorCode ierr;
1838 
1839   PetscFunctionBegin;
1840   if (!mumps->id.ICNTL(19)) { /* do nothing */
1841     PetscFunctionReturn(0);
1842   }
1843   if (!mumps->id.size_schur) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur indices not set! You should call MatFactorSetSchurIS before");
1844   ierr = MatMumpsInvertSchur_Private(mumps);CHKERRQ(ierr);
1845   PetscFunctionReturn(0);
1846 }
1847 
1848 /* -------------------------------------------------------------------------------------------*/
1849 #undef __FUNCT__
1850 #define __FUNCT__ "MatFactorSolveSchurComplement_MUMPS"
1851 PetscErrorCode MatFactorSolveSchurComplement_MUMPS(Mat F, Vec rhs, Vec sol)
1852 {
1853   Mat_MUMPS      *mumps =(Mat_MUMPS*)F->spptr;
1854   MumpsScalar    *orhs;
1855   PetscScalar    *osol,*nrhs,*nsol;
1856   PetscInt       orhs_size,osol_size,olrhs_size;
1857   PetscErrorCode ierr;
1858 
1859   PetscFunctionBegin;
1860   if (!mumps->id.ICNTL(19)) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur complement mode not selected! You should call MatFactorSetSchurIS to enable it");
1861   if (!mumps->id.size_schur) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur indices not set! You should call MatFactorSetSchurIS before");
1862 
1863   /* swap pointers */
1864   orhs = mumps->id.redrhs;
1865   olrhs_size = mumps->id.lredrhs;
1866   orhs_size = mumps->sizeredrhs;
1867   osol = mumps->schur_sol;
1868   osol_size = mumps->schur_sizesol;
1869   ierr = VecGetArray(rhs,&nrhs);CHKERRQ(ierr);
1870   ierr = VecGetArray(sol,&nsol);CHKERRQ(ierr);
1871   mumps->id.redrhs = (MumpsScalar*)nrhs;
1872   ierr = VecGetLocalSize(rhs,&mumps->sizeredrhs);CHKERRQ(ierr);
1873   mumps->id.lredrhs = mumps->sizeredrhs;
1874   mumps->schur_sol = nsol;
1875   ierr = VecGetLocalSize(sol,&mumps->schur_sizesol);CHKERRQ(ierr);
1876 
1877   /* solve Schur complement */
1878   mumps->id.nrhs = 1;
1879   ierr = MatMumpsSolveSchur_Private(mumps,PETSC_FALSE);CHKERRQ(ierr);
1880   /* restore pointers */
1881   ierr = VecRestoreArray(rhs,&nrhs);CHKERRQ(ierr);
1882   ierr = VecRestoreArray(sol,&nsol);CHKERRQ(ierr);
1883   mumps->id.redrhs = orhs;
1884   mumps->id.lredrhs = olrhs_size;
1885   mumps->sizeredrhs = orhs_size;
1886   mumps->schur_sol = osol;
1887   mumps->schur_sizesol = osol_size;
1888   PetscFunctionReturn(0);
1889 }
1890 
1891 /* -------------------------------------------------------------------------------------------*/
1892 #undef __FUNCT__
1893 #define __FUNCT__ "MatFactorSolveSchurComplementTranspose_MUMPS"
1894 PetscErrorCode MatFactorSolveSchurComplementTranspose_MUMPS(Mat F, Vec rhs, Vec sol)
1895 {
1896   Mat_MUMPS      *mumps =(Mat_MUMPS*)F->spptr;
1897   MumpsScalar    *orhs;
1898   PetscScalar    *osol,*nrhs,*nsol;
1899   PetscInt       orhs_size,osol_size;
1900   PetscErrorCode ierr;
1901 
1902   PetscFunctionBegin;
1903   if (!mumps->id.ICNTL(19)) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur complement mode not selected! You should call MatFactorSetSchurIS to enable it");
1904   else if (!mumps->id.size_schur) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur indices not set! You should call MatFactorSetSchurIS before");
1905 
1906   /* swap pointers */
1907   orhs = mumps->id.redrhs;
1908   orhs_size = mumps->sizeredrhs;
1909   osol = mumps->schur_sol;
1910   osol_size = mumps->schur_sizesol;
1911   ierr = VecGetArray(rhs,&nrhs);CHKERRQ(ierr);
1912   ierr = VecGetArray(sol,&nsol);CHKERRQ(ierr);
1913   mumps->id.redrhs = (MumpsScalar*)nrhs;
1914   ierr = VecGetLocalSize(rhs,&mumps->sizeredrhs);CHKERRQ(ierr);
1915   mumps->schur_sol = nsol;
1916   ierr = VecGetLocalSize(sol,&mumps->schur_sizesol);CHKERRQ(ierr);
1917 
1918   /* solve Schur complement */
1919   mumps->id.nrhs = 1;
1920   mumps->id.ICNTL(9) = 0;
1921   ierr = MatMumpsSolveSchur_Private(mumps,PETSC_FALSE);CHKERRQ(ierr);
1922   mumps->id.ICNTL(9) = 1;
1923   /* restore pointers */
1924   ierr = VecRestoreArray(rhs,&nrhs);CHKERRQ(ierr);
1925   ierr = VecRestoreArray(sol,&nsol);CHKERRQ(ierr);
1926   mumps->id.redrhs = orhs;
1927   mumps->sizeredrhs = orhs_size;
1928   mumps->schur_sol = osol;
1929   mumps->schur_sizesol = osol_size;
1930   PetscFunctionReturn(0);
1931 }
1932 
1933 /* -------------------------------------------------------------------------------------------*/
1934 #undef __FUNCT__
1935 #define __FUNCT__ "MatMumpsSetIcntl_MUMPS"
1936 PetscErrorCode MatMumpsSetIcntl_MUMPS(Mat F,PetscInt icntl,PetscInt ival)
1937 {
1938   Mat_MUMPS *mumps =(Mat_MUMPS*)F->spptr;
1939 
1940   PetscFunctionBegin;
1941   mumps->id.ICNTL(icntl) = ival;
1942   PetscFunctionReturn(0);
1943 }
1944 
1945 #undef __FUNCT__
1946 #define __FUNCT__ "MatMumpsGetIcntl_MUMPS"
1947 PetscErrorCode MatMumpsGetIcntl_MUMPS(Mat F,PetscInt icntl,PetscInt *ival)
1948 {
1949   Mat_MUMPS *mumps =(Mat_MUMPS*)F->spptr;
1950 
1951   PetscFunctionBegin;
1952   *ival = mumps->id.ICNTL(icntl);
1953   PetscFunctionReturn(0);
1954 }
1955 
1956 #undef __FUNCT__
1957 #define __FUNCT__ "MatMumpsSetIcntl"
1958 /*@
1959   MatMumpsSetIcntl - Set MUMPS parameter ICNTL()
1960 
1961    Logically Collective on Mat
1962 
1963    Input Parameters:
1964 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
1965 .  icntl - index of MUMPS parameter array ICNTL()
1966 -  ival - value of MUMPS ICNTL(icntl)
1967 
1968   Options Database:
1969 .   -mat_mumps_icntl_<icntl> <ival>
1970 
1971    Level: beginner
1972 
1973    References: MUMPS Users' Guide
1974 
1975 .seealso: MatGetFactor()
1976 @*/
1977 PetscErrorCode MatMumpsSetIcntl(Mat F,PetscInt icntl,PetscInt ival)
1978 {
1979   PetscErrorCode ierr;
1980 
1981   PetscFunctionBegin;
1982   PetscValidLogicalCollectiveInt(F,icntl,2);
1983   PetscValidLogicalCollectiveInt(F,ival,3);
1984   ierr = PetscTryMethod(F,"MatMumpsSetIcntl_C",(Mat,PetscInt,PetscInt),(F,icntl,ival));CHKERRQ(ierr);
1985   PetscFunctionReturn(0);
1986 }
1987 
1988 #undef __FUNCT__
1989 #define __FUNCT__ "MatMumpsGetIcntl"
1990 /*@
1991   MatMumpsGetIcntl - Get MUMPS parameter ICNTL()
1992 
1993    Logically Collective on Mat
1994 
1995    Input Parameters:
1996 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
1997 -  icntl - index of MUMPS parameter array ICNTL()
1998 
1999   Output Parameter:
2000 .  ival - value of MUMPS ICNTL(icntl)
2001 
2002    Level: beginner
2003 
2004    References: MUMPS Users' Guide
2005 
2006 .seealso: MatGetFactor()
2007 @*/
2008 PetscErrorCode MatMumpsGetIcntl(Mat F,PetscInt icntl,PetscInt *ival)
2009 {
2010   PetscErrorCode ierr;
2011 
2012   PetscFunctionBegin;
2013   PetscValidLogicalCollectiveInt(F,icntl,2);
2014   PetscValidIntPointer(ival,3);
2015   ierr = PetscTryMethod(F,"MatMumpsGetIcntl_C",(Mat,PetscInt,PetscInt*),(F,icntl,ival));CHKERRQ(ierr);
2016   PetscFunctionReturn(0);
2017 }
2018 
2019 /* -------------------------------------------------------------------------------------------*/
2020 #undef __FUNCT__
2021 #define __FUNCT__ "MatMumpsSetCntl_MUMPS"
2022 PetscErrorCode MatMumpsSetCntl_MUMPS(Mat F,PetscInt icntl,PetscReal val)
2023 {
2024   Mat_MUMPS *mumps =(Mat_MUMPS*)F->spptr;
2025 
2026   PetscFunctionBegin;
2027   mumps->id.CNTL(icntl) = val;
2028   PetscFunctionReturn(0);
2029 }
2030 
2031 #undef __FUNCT__
2032 #define __FUNCT__ "MatMumpsGetCntl_MUMPS"
2033 PetscErrorCode MatMumpsGetCntl_MUMPS(Mat F,PetscInt icntl,PetscReal *val)
2034 {
2035   Mat_MUMPS *mumps =(Mat_MUMPS*)F->spptr;
2036 
2037   PetscFunctionBegin;
2038   *val = mumps->id.CNTL(icntl);
2039   PetscFunctionReturn(0);
2040 }
2041 
2042 #undef __FUNCT__
2043 #define __FUNCT__ "MatMumpsSetCntl"
2044 /*@
2045   MatMumpsSetCntl - Set MUMPS parameter CNTL()
2046 
2047    Logically Collective on Mat
2048 
2049    Input Parameters:
2050 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
2051 .  icntl - index of MUMPS parameter array CNTL()
2052 -  val - value of MUMPS CNTL(icntl)
2053 
2054   Options Database:
2055 .   -mat_mumps_cntl_<icntl> <val>
2056 
2057    Level: beginner
2058 
2059    References: MUMPS Users' Guide
2060 
2061 .seealso: MatGetFactor()
2062 @*/
2063 PetscErrorCode MatMumpsSetCntl(Mat F,PetscInt icntl,PetscReal val)
2064 {
2065   PetscErrorCode ierr;
2066 
2067   PetscFunctionBegin;
2068   PetscValidLogicalCollectiveInt(F,icntl,2);
2069   PetscValidLogicalCollectiveReal(F,val,3);
2070   ierr = PetscTryMethod(F,"MatMumpsSetCntl_C",(Mat,PetscInt,PetscReal),(F,icntl,val));CHKERRQ(ierr);
2071   PetscFunctionReturn(0);
2072 }
2073 
2074 #undef __FUNCT__
2075 #define __FUNCT__ "MatMumpsGetCntl"
2076 /*@
2077   MatMumpsGetCntl - Get MUMPS parameter CNTL()
2078 
2079    Logically Collective on Mat
2080 
2081    Input Parameters:
2082 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
2083 -  icntl - index of MUMPS parameter array CNTL()
2084 
2085   Output Parameter:
2086 .  val - value of MUMPS CNTL(icntl)
2087 
2088    Level: beginner
2089 
2090    References: MUMPS Users' Guide
2091 
2092 .seealso: MatGetFactor()
2093 @*/
2094 PetscErrorCode MatMumpsGetCntl(Mat F,PetscInt icntl,PetscReal *val)
2095 {
2096   PetscErrorCode ierr;
2097 
2098   PetscFunctionBegin;
2099   PetscValidLogicalCollectiveInt(F,icntl,2);
2100   PetscValidRealPointer(val,3);
2101   ierr = PetscTryMethod(F,"MatMumpsGetCntl_C",(Mat,PetscInt,PetscReal*),(F,icntl,val));CHKERRQ(ierr);
2102   PetscFunctionReturn(0);
2103 }
2104 
2105 #undef __FUNCT__
2106 #define __FUNCT__ "MatMumpsGetInfo_MUMPS"
2107 PetscErrorCode MatMumpsGetInfo_MUMPS(Mat F,PetscInt icntl,PetscInt *info)
2108 {
2109   Mat_MUMPS *mumps =(Mat_MUMPS*)F->spptr;
2110 
2111   PetscFunctionBegin;
2112   *info = mumps->id.INFO(icntl);
2113   PetscFunctionReturn(0);
2114 }
2115 
2116 #undef __FUNCT__
2117 #define __FUNCT__ "MatMumpsGetInfog_MUMPS"
2118 PetscErrorCode MatMumpsGetInfog_MUMPS(Mat F,PetscInt icntl,PetscInt *infog)
2119 {
2120   Mat_MUMPS *mumps =(Mat_MUMPS*)F->spptr;
2121 
2122   PetscFunctionBegin;
2123   *infog = mumps->id.INFOG(icntl);
2124   PetscFunctionReturn(0);
2125 }
2126 
2127 #undef __FUNCT__
2128 #define __FUNCT__ "MatMumpsGetRinfo_MUMPS"
2129 PetscErrorCode MatMumpsGetRinfo_MUMPS(Mat F,PetscInt icntl,PetscReal *rinfo)
2130 {
2131   Mat_MUMPS *mumps =(Mat_MUMPS*)F->spptr;
2132 
2133   PetscFunctionBegin;
2134   *rinfo = mumps->id.RINFO(icntl);
2135   PetscFunctionReturn(0);
2136 }
2137 
2138 #undef __FUNCT__
2139 #define __FUNCT__ "MatMumpsGetRinfog_MUMPS"
2140 PetscErrorCode MatMumpsGetRinfog_MUMPS(Mat F,PetscInt icntl,PetscReal *rinfog)
2141 {
2142   Mat_MUMPS *mumps =(Mat_MUMPS*)F->spptr;
2143 
2144   PetscFunctionBegin;
2145   *rinfog = mumps->id.RINFOG(icntl);
2146   PetscFunctionReturn(0);
2147 }
2148 
2149 #undef __FUNCT__
2150 #define __FUNCT__ "MatMumpsGetInfo"
2151 /*@
2152   MatMumpsGetInfo - Get MUMPS parameter INFO()
2153 
2154    Logically Collective on Mat
2155 
2156    Input Parameters:
2157 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
2158 -  icntl - index of MUMPS parameter array INFO()
2159 
2160   Output Parameter:
2161 .  ival - value of MUMPS INFO(icntl)
2162 
2163    Level: beginner
2164 
2165    References: MUMPS Users' Guide
2166 
2167 .seealso: MatGetFactor()
2168 @*/
2169 PetscErrorCode MatMumpsGetInfo(Mat F,PetscInt icntl,PetscInt *ival)
2170 {
2171   PetscErrorCode ierr;
2172 
2173   PetscFunctionBegin;
2174   PetscValidIntPointer(ival,3);
2175   ierr = PetscTryMethod(F,"MatMumpsGetInfo_C",(Mat,PetscInt,PetscInt*),(F,icntl,ival));CHKERRQ(ierr);
2176   PetscFunctionReturn(0);
2177 }
2178 
2179 #undef __FUNCT__
2180 #define __FUNCT__ "MatMumpsGetInfog"
2181 /*@
2182   MatMumpsGetInfog - Get MUMPS parameter INFOG()
2183 
2184    Logically Collective on Mat
2185 
2186    Input Parameters:
2187 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
2188 -  icntl - index of MUMPS parameter array INFOG()
2189 
2190   Output Parameter:
2191 .  ival - value of MUMPS INFOG(icntl)
2192 
2193    Level: beginner
2194 
2195    References: MUMPS Users' Guide
2196 
2197 .seealso: MatGetFactor()
2198 @*/
2199 PetscErrorCode MatMumpsGetInfog(Mat F,PetscInt icntl,PetscInt *ival)
2200 {
2201   PetscErrorCode ierr;
2202 
2203   PetscFunctionBegin;
2204   PetscValidIntPointer(ival,3);
2205   ierr = PetscTryMethod(F,"MatMumpsGetInfog_C",(Mat,PetscInt,PetscInt*),(F,icntl,ival));CHKERRQ(ierr);
2206   PetscFunctionReturn(0);
2207 }
2208 
2209 #undef __FUNCT__
2210 #define __FUNCT__ "MatMumpsGetRinfo"
2211 /*@
2212   MatMumpsGetRinfo - Get MUMPS parameter RINFO()
2213 
2214    Logically Collective on Mat
2215 
2216    Input Parameters:
2217 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
2218 -  icntl - index of MUMPS parameter array RINFO()
2219 
2220   Output Parameter:
2221 .  val - value of MUMPS RINFO(icntl)
2222 
2223    Level: beginner
2224 
2225    References: MUMPS Users' Guide
2226 
2227 .seealso: MatGetFactor()
2228 @*/
2229 PetscErrorCode MatMumpsGetRinfo(Mat F,PetscInt icntl,PetscReal *val)
2230 {
2231   PetscErrorCode ierr;
2232 
2233   PetscFunctionBegin;
2234   PetscValidRealPointer(val,3);
2235   ierr = PetscTryMethod(F,"MatMumpsGetRinfo_C",(Mat,PetscInt,PetscReal*),(F,icntl,val));CHKERRQ(ierr);
2236   PetscFunctionReturn(0);
2237 }
2238 
2239 #undef __FUNCT__
2240 #define __FUNCT__ "MatMumpsGetRinfog"
2241 /*@
2242   MatMumpsGetRinfog - Get MUMPS parameter RINFOG()
2243 
2244    Logically Collective on Mat
2245 
2246    Input Parameters:
2247 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
2248 -  icntl - index of MUMPS parameter array RINFOG()
2249 
2250   Output Parameter:
2251 .  val - value of MUMPS RINFOG(icntl)
2252 
2253    Level: beginner
2254 
2255    References: MUMPS Users' Guide
2256 
2257 .seealso: MatGetFactor()
2258 @*/
2259 PetscErrorCode MatMumpsGetRinfog(Mat F,PetscInt icntl,PetscReal *val)
2260 {
2261   PetscErrorCode ierr;
2262 
2263   PetscFunctionBegin;
2264   PetscValidRealPointer(val,3);
2265   ierr = PetscTryMethod(F,"MatMumpsGetRinfog_C",(Mat,PetscInt,PetscReal*),(F,icntl,val));CHKERRQ(ierr);
2266   PetscFunctionReturn(0);
2267 }
2268 
2269 /*MC
2270   MATSOLVERMUMPS -  A matrix type providing direct solvers (LU and Cholesky) for
2271   distributed and sequential matrices via the external package MUMPS.
2272 
2273   Works with MATAIJ and MATSBAIJ matrices
2274 
2275   Use ./configure --download-mumps --download-scalapack --download-parmetis --download-metis --download-ptscotch  to have PETSc installed with MUMPS
2276 
2277   Use -pc_type cholesky or lu -pc_factor_mat_solver_package mumps to us this direct solver
2278 
2279   Options Database Keys:
2280 +  -mat_mumps_icntl_1 <6>: ICNTL(1): output stream for error messages (None)
2281 .  -mat_mumps_icntl_2 <0>: ICNTL(2): output stream for diagnostic printing, statistics, and warning (None)
2282 .  -mat_mumps_icntl_3 <0>: ICNTL(3): output stream for global information, collected on the host (None)
2283 .  -mat_mumps_icntl_4 <0>: ICNTL(4): level of printing (0 to 4) (None)
2284 .  -mat_mumps_icntl_6 <7>: ICNTL(6): permutes to a zero-free diagonal and/or scale the matrix (0 to 7) (None)
2285 .  -mat_mumps_icntl_7 <7>: ICNTL(7): computes a symmetric permutation in sequential analysis (0 to 7). 3=Scotch, 4=PORD, 5=Metis (None)
2286 .  -mat_mumps_icntl_8 <77>: ICNTL(8): scaling strategy (-2 to 8 or 77) (None)
2287 .  -mat_mumps_icntl_10 <0>: ICNTL(10): max num of refinements (None)
2288 .  -mat_mumps_icntl_11 <0>: ICNTL(11): statistics related to an error analysis (via -ksp_view) (None)
2289 .  -mat_mumps_icntl_12 <1>: ICNTL(12): an ordering strategy for symmetric matrices (0 to 3) (None)
2290 .  -mat_mumps_icntl_13 <0>: ICNTL(13): parallelism of the root node (enable ScaLAPACK) and its splitting (None)
2291 .  -mat_mumps_icntl_14 <20>: ICNTL(14): percentage increase in the estimated working space (None)
2292 .  -mat_mumps_icntl_19 <0>: ICNTL(19): computes the Schur complement (None)
2293 .  -mat_mumps_icntl_22 <0>: ICNTL(22): in-core/out-of-core factorization and solve (0 or 1) (None)
2294 .  -mat_mumps_icntl_23 <0>: ICNTL(23): max size of the working memory (MB) that can allocate per processor (None)
2295 .  -mat_mumps_icntl_24 <0>: ICNTL(24): detection of null pivot rows (0 or 1) (None)
2296 .  -mat_mumps_icntl_25 <0>: ICNTL(25): compute a solution of a deficient matrix and a null space basis (None)
2297 .  -mat_mumps_icntl_26 <0>: ICNTL(26): drives the solution phase if a Schur complement matrix (None)
2298 .  -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)
2299 .  -mat_mumps_icntl_29 <0>: ICNTL(29): parallel ordering 1 = ptscotch, 2 = parmetis (None)
2300 .  -mat_mumps_icntl_30 <0>: ICNTL(30): compute user-specified set of entries in inv(A) (None)
2301 .  -mat_mumps_icntl_31 <0>: ICNTL(31): indicates which factors may be discarded during factorization (None)
2302 .  -mat_mumps_icntl_33 <0>: ICNTL(33): compute determinant (None)
2303 .  -mat_mumps_cntl_1 <0.01>: CNTL(1): relative pivoting threshold (None)
2304 .  -mat_mumps_cntl_2 <1.49012e-08>: CNTL(2): stopping criterion of refinement (None)
2305 .  -mat_mumps_cntl_3 <0>: CNTL(3): absolute pivoting threshold (None)
2306 .  -mat_mumps_cntl_4 <-1>: CNTL(4): value for static pivoting (None)
2307 -  -mat_mumps_cntl_5 <0>: CNTL(5): fixation for null pivots (None)
2308 
2309   Level: beginner
2310 
2311 .seealso: PCFactorSetMatSolverPackage(), MatSolverPackage
2312 
2313 M*/
2314 
2315 #undef __FUNCT__
2316 #define __FUNCT__ "MatFactorGetSolverPackage_mumps"
2317 static PetscErrorCode MatFactorGetSolverPackage_mumps(Mat A,const MatSolverPackage *type)
2318 {
2319   PetscFunctionBegin;
2320   *type = MATSOLVERMUMPS;
2321   PetscFunctionReturn(0);
2322 }
2323 
2324 /* MatGetFactor for Seq and MPI AIJ matrices */
2325 #undef __FUNCT__
2326 #define __FUNCT__ "MatGetFactor_aij_mumps"
2327 PETSC_EXTERN PetscErrorCode MatGetFactor_aij_mumps(Mat A,MatFactorType ftype,Mat *F)
2328 {
2329   Mat            B;
2330   PetscErrorCode ierr;
2331   Mat_MUMPS      *mumps;
2332   PetscBool      isSeqAIJ;
2333 
2334   PetscFunctionBegin;
2335   /* Create the factorization matrix */
2336   ierr = PetscObjectTypeCompare((PetscObject)A,MATSEQAIJ,&isSeqAIJ);CHKERRQ(ierr);
2337   ierr = MatCreate(PetscObjectComm((PetscObject)A),&B);CHKERRQ(ierr);
2338   ierr = MatSetSizes(B,A->rmap->n,A->cmap->n,A->rmap->N,A->cmap->N);CHKERRQ(ierr);
2339   ierr = MatSetType(B,((PetscObject)A)->type_name);CHKERRQ(ierr);
2340   if (isSeqAIJ) {
2341     ierr = MatSeqAIJSetPreallocation(B,0,NULL);CHKERRQ(ierr);
2342   } else {
2343     ierr = MatMPIAIJSetPreallocation(B,0,NULL,0,NULL);CHKERRQ(ierr);
2344   }
2345 
2346   ierr = PetscNewLog(B,&mumps);CHKERRQ(ierr);
2347 
2348   B->ops->view        = MatView_MUMPS;
2349   B->ops->getinfo     = MatGetInfo_MUMPS;
2350   B->ops->getdiagonal = MatGetDiagonal_MUMPS;
2351 
2352   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorGetSolverPackage_C",MatFactorGetSolverPackage_mumps);CHKERRQ(ierr);
2353   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSetSchurIS_C",MatFactorSetSchurIS_MUMPS);CHKERRQ(ierr);
2354   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorInvertSchurComplement_C",MatFactorInvertSchurComplement_MUMPS);CHKERRQ(ierr);
2355   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorCreateSchurComplement_C",MatFactorCreateSchurComplement_MUMPS);CHKERRQ(ierr);
2356   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorGetSchurComplement_C",MatFactorGetSchurComplement_MUMPS);CHKERRQ(ierr);
2357   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSolveSchurComplement_C",MatFactorSolveSchurComplement_MUMPS);CHKERRQ(ierr);
2358   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSolveSchurComplementTranspose_C",MatFactorSolveSchurComplementTranspose_MUMPS);CHKERRQ(ierr);
2359   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsSetIcntl_C",MatMumpsSetIcntl_MUMPS);CHKERRQ(ierr);
2360   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetIcntl_C",MatMumpsGetIcntl_MUMPS);CHKERRQ(ierr);
2361   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsSetCntl_C",MatMumpsSetCntl_MUMPS);CHKERRQ(ierr);
2362   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetCntl_C",MatMumpsGetCntl_MUMPS);CHKERRQ(ierr);
2363   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetInfo_C",MatMumpsGetInfo_MUMPS);CHKERRQ(ierr);
2364   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetInfog_C",MatMumpsGetInfog_MUMPS);CHKERRQ(ierr);
2365   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetRinfo_C",MatMumpsGetRinfo_MUMPS);CHKERRQ(ierr);
2366   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetRinfog_C",MatMumpsGetRinfog_MUMPS);CHKERRQ(ierr);
2367 
2368   if (ftype == MAT_FACTOR_LU) {
2369     B->ops->lufactorsymbolic = MatLUFactorSymbolic_AIJMUMPS;
2370     B->factortype            = MAT_FACTOR_LU;
2371     if (isSeqAIJ) mumps->ConvertToTriples = MatConvertToTriples_seqaij_seqaij;
2372     else mumps->ConvertToTriples = MatConvertToTriples_mpiaij_mpiaij;
2373     mumps->sym = 0;
2374   } else {
2375     B->ops->choleskyfactorsymbolic = MatCholeskyFactorSymbolic_MUMPS;
2376     B->factortype                  = MAT_FACTOR_CHOLESKY;
2377     if (isSeqAIJ) mumps->ConvertToTriples = MatConvertToTriples_seqaij_seqsbaij;
2378     else mumps->ConvertToTriples = MatConvertToTriples_mpiaij_mpisbaij;
2379 #if defined(PETSC_USE_COMPLEX)
2380     mumps->sym = 2;
2381 #else
2382     if (A->spd_set && A->spd) mumps->sym = 1;
2383     else                      mumps->sym = 2;
2384 #endif
2385   }
2386 
2387   mumps->isAIJ    = PETSC_TRUE;
2388   mumps->Destroy  = B->ops->destroy;
2389   B->ops->destroy = MatDestroy_MUMPS;
2390   B->spptr        = (void*)mumps;
2391 
2392   ierr = PetscInitializeMUMPS(A,mumps);CHKERRQ(ierr);
2393 
2394   *F = B;
2395   PetscFunctionReturn(0);
2396 }
2397 
2398 /* MatGetFactor for Seq and MPI SBAIJ matrices */
2399 #undef __FUNCT__
2400 #define __FUNCT__ "MatGetFactor_sbaij_mumps"
2401 PETSC_EXTERN PetscErrorCode MatGetFactor_sbaij_mumps(Mat A,MatFactorType ftype,Mat *F)
2402 {
2403   Mat            B;
2404   PetscErrorCode ierr;
2405   Mat_MUMPS      *mumps;
2406   PetscBool      isSeqSBAIJ;
2407 
2408   PetscFunctionBegin;
2409   if (ftype != MAT_FACTOR_CHOLESKY) SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_SUP,"Cannot use PETSc SBAIJ matrices with MUMPS LU, use AIJ matrix");
2410   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");
2411   ierr = PetscObjectTypeCompare((PetscObject)A,MATSEQSBAIJ,&isSeqSBAIJ);CHKERRQ(ierr);
2412   /* Create the factorization matrix */
2413   ierr = MatCreate(PetscObjectComm((PetscObject)A),&B);CHKERRQ(ierr);
2414   ierr = MatSetSizes(B,A->rmap->n,A->cmap->n,A->rmap->N,A->cmap->N);CHKERRQ(ierr);
2415   ierr = MatSetType(B,((PetscObject)A)->type_name);CHKERRQ(ierr);
2416   ierr = PetscNewLog(B,&mumps);CHKERRQ(ierr);
2417   if (isSeqSBAIJ) {
2418     ierr = MatSeqSBAIJSetPreallocation(B,1,0,NULL);CHKERRQ(ierr);
2419 
2420     mumps->ConvertToTriples = MatConvertToTriples_seqsbaij_seqsbaij;
2421   } else {
2422     ierr = MatMPISBAIJSetPreallocation(B,1,0,NULL,0,NULL);CHKERRQ(ierr);
2423 
2424     mumps->ConvertToTriples = MatConvertToTriples_mpisbaij_mpisbaij;
2425   }
2426 
2427   B->ops->choleskyfactorsymbolic = MatCholeskyFactorSymbolic_MUMPS;
2428   B->ops->view                   = MatView_MUMPS;
2429   B->ops->getdiagonal            = MatGetDiagonal_MUMPS;
2430 
2431   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorGetSolverPackage_C",MatFactorGetSolverPackage_mumps);CHKERRQ(ierr);
2432   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSetSchurIS_C",MatFactorSetSchurIS_MUMPS);CHKERRQ(ierr);
2433   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorInvertSchurComplement_C",MatFactorInvertSchurComplement_MUMPS);CHKERRQ(ierr);
2434   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorCreateSchurComplement_C",MatFactorCreateSchurComplement_MUMPS);CHKERRQ(ierr);
2435   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorGetSchurComplement_C",MatFactorGetSchurComplement_MUMPS);CHKERRQ(ierr);
2436   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSolveSchurComplement_C",MatFactorSolveSchurComplement_MUMPS);CHKERRQ(ierr);
2437   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSolveSchurComplementTranspose_C",MatFactorSolveSchurComplementTranspose_MUMPS);CHKERRQ(ierr);
2438   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsSetIcntl_C",MatMumpsSetIcntl_MUMPS);CHKERRQ(ierr);
2439   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetIcntl_C",MatMumpsGetIcntl_MUMPS);CHKERRQ(ierr);
2440   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsSetCntl_C",MatMumpsSetCntl_MUMPS);CHKERRQ(ierr);
2441   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetCntl_C",MatMumpsGetCntl_MUMPS);CHKERRQ(ierr);
2442   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetInfo_C",MatMumpsGetInfo_MUMPS);CHKERRQ(ierr);
2443   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetInfog_C",MatMumpsGetInfog_MUMPS);CHKERRQ(ierr);
2444   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetRinfo_C",MatMumpsGetRinfo_MUMPS);CHKERRQ(ierr);
2445   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetRinfog_C",MatMumpsGetRinfog_MUMPS);CHKERRQ(ierr);
2446 
2447   B->factortype = MAT_FACTOR_CHOLESKY;
2448 #if defined(PETSC_USE_COMPLEX)
2449   mumps->sym = 2;
2450 #else
2451   if (A->spd_set && A->spd) mumps->sym = 1;
2452   else                      mumps->sym = 2;
2453 #endif
2454 
2455   mumps->isAIJ    = PETSC_FALSE;
2456   mumps->Destroy  = B->ops->destroy;
2457   B->ops->destroy = MatDestroy_MUMPS;
2458   B->spptr        = (void*)mumps;
2459 
2460   ierr = PetscInitializeMUMPS(A,mumps);CHKERRQ(ierr);
2461 
2462   *F = B;
2463   PetscFunctionReturn(0);
2464 }
2465 
2466 #undef __FUNCT__
2467 #define __FUNCT__ "MatGetFactor_baij_mumps"
2468 PETSC_EXTERN PetscErrorCode MatGetFactor_baij_mumps(Mat A,MatFactorType ftype,Mat *F)
2469 {
2470   Mat            B;
2471   PetscErrorCode ierr;
2472   Mat_MUMPS      *mumps;
2473   PetscBool      isSeqBAIJ;
2474 
2475   PetscFunctionBegin;
2476   /* Create the factorization matrix */
2477   ierr = PetscObjectTypeCompare((PetscObject)A,MATSEQBAIJ,&isSeqBAIJ);CHKERRQ(ierr);
2478   ierr = MatCreate(PetscObjectComm((PetscObject)A),&B);CHKERRQ(ierr);
2479   ierr = MatSetSizes(B,A->rmap->n,A->cmap->n,A->rmap->N,A->cmap->N);CHKERRQ(ierr);
2480   ierr = MatSetType(B,((PetscObject)A)->type_name);CHKERRQ(ierr);
2481   if (isSeqBAIJ) {
2482     ierr = MatSeqBAIJSetPreallocation(B,A->rmap->bs,0,NULL);CHKERRQ(ierr);
2483   } else {
2484     ierr = MatMPIBAIJSetPreallocation(B,A->rmap->bs,0,NULL,0,NULL);CHKERRQ(ierr);
2485   }
2486 
2487   ierr = PetscNewLog(B,&mumps);CHKERRQ(ierr);
2488   if (ftype == MAT_FACTOR_LU) {
2489     B->ops->lufactorsymbolic = MatLUFactorSymbolic_BAIJMUMPS;
2490     B->factortype            = MAT_FACTOR_LU;
2491     if (isSeqBAIJ) mumps->ConvertToTriples = MatConvertToTriples_seqbaij_seqaij;
2492     else mumps->ConvertToTriples = MatConvertToTriples_mpibaij_mpiaij;
2493     mumps->sym = 0;
2494   } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Cannot use PETSc BAIJ matrices with MUMPS Cholesky, use SBAIJ or AIJ matrix instead\n");
2495 
2496   B->ops->view        = MatView_MUMPS;
2497   B->ops->getdiagonal = MatGetDiagonal_MUMPS;
2498 
2499   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorGetSolverPackage_C",MatFactorGetSolverPackage_mumps);CHKERRQ(ierr);
2500   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSetSchurIS_C",MatFactorSetSchurIS_MUMPS);CHKERRQ(ierr);
2501   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorInvertSchurComplement_C",MatFactorInvertSchurComplement_MUMPS);CHKERRQ(ierr);
2502   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorCreateSchurComplement_C",MatFactorCreateSchurComplement_MUMPS);CHKERRQ(ierr);
2503   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorGetSchurComplement_C",MatFactorGetSchurComplement_MUMPS);CHKERRQ(ierr);
2504   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSolveSchurComplement_C",MatFactorSolveSchurComplement_MUMPS);CHKERRQ(ierr);
2505   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSolveSchurComplementTranspose_C",MatFactorSolveSchurComplementTranspose_MUMPS);CHKERRQ(ierr);
2506   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsSetIcntl_C",MatMumpsSetIcntl_MUMPS);CHKERRQ(ierr);
2507   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetIcntl_C",MatMumpsGetIcntl_MUMPS);CHKERRQ(ierr);
2508   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsSetCntl_C",MatMumpsSetCntl_MUMPS);CHKERRQ(ierr);
2509   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetCntl_C",MatMumpsGetCntl_MUMPS);CHKERRQ(ierr);
2510   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetInfo_C",MatMumpsGetInfo_MUMPS);CHKERRQ(ierr);
2511   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetInfog_C",MatMumpsGetInfog_MUMPS);CHKERRQ(ierr);
2512   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetRinfo_C",MatMumpsGetRinfo_MUMPS);CHKERRQ(ierr);
2513   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetRinfog_C",MatMumpsGetRinfog_MUMPS);CHKERRQ(ierr);
2514 
2515   mumps->isAIJ    = PETSC_TRUE;
2516   mumps->Destroy  = B->ops->destroy;
2517   B->ops->destroy = MatDestroy_MUMPS;
2518   B->spptr        = (void*)mumps;
2519 
2520   ierr = PetscInitializeMUMPS(A,mumps);CHKERRQ(ierr);
2521 
2522   *F = B;
2523   PetscFunctionReturn(0);
2524 }
2525 
2526 PETSC_EXTERN PetscErrorCode MatGetFactor_aij_mumps(Mat,MatFactorType,Mat*);
2527 PETSC_EXTERN PetscErrorCode MatGetFactor_baij_mumps(Mat,MatFactorType,Mat*);
2528 PETSC_EXTERN PetscErrorCode MatGetFactor_sbaij_mumps(Mat,MatFactorType,Mat*);
2529 
2530 #undef __FUNCT__
2531 #define __FUNCT__ "MatSolverPackageRegister_MUMPS"
2532 PETSC_EXTERN PetscErrorCode MatSolverPackageRegister_MUMPS(void)
2533 {
2534   PetscErrorCode ierr;
2535 
2536   PetscFunctionBegin;
2537   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATMPIAIJ,MAT_FACTOR_LU,MatGetFactor_aij_mumps);CHKERRQ(ierr);
2538   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATMPIAIJ,MAT_FACTOR_CHOLESKY,MatGetFactor_aij_mumps);CHKERRQ(ierr);
2539   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATMPIBAIJ,MAT_FACTOR_LU,MatGetFactor_baij_mumps);CHKERRQ(ierr);
2540   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATMPIBAIJ,MAT_FACTOR_CHOLESKY,MatGetFactor_baij_mumps);CHKERRQ(ierr);
2541   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATMPISBAIJ,MAT_FACTOR_CHOLESKY,MatGetFactor_sbaij_mumps);CHKERRQ(ierr);
2542   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATSEQAIJ,MAT_FACTOR_LU,MatGetFactor_aij_mumps);CHKERRQ(ierr);
2543   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATSEQAIJ,MAT_FACTOR_CHOLESKY,MatGetFactor_aij_mumps);CHKERRQ(ierr);
2544   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATSEQBAIJ,MAT_FACTOR_LU,MatGetFactor_baij_mumps);CHKERRQ(ierr);
2545   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATSEQBAIJ,MAT_FACTOR_CHOLESKY,MatGetFactor_baij_mumps);CHKERRQ(ierr);
2546   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATSEQSBAIJ,MAT_FACTOR_CHOLESKY,MatGetFactor_sbaij_mumps);CHKERRQ(ierr);
2547   PetscFunctionReturn(0);
2548 }
2549 
2550