xref: /petsc/src/mat/impls/aij/mpi/mumps/mumps.c (revision 609bdbee21ea3be08735c64dbe00a9ab27759925)
1 
2 /*
3     Provides an interface to the MUMPS sparse solver
4 */
5 
6 #include <../src/mat/impls/aij/mpi/mpiaij.h> /*I  "petscmat.h"  I*/
7 #include <../src/mat/impls/sbaij/mpi/mpisbaij.h>
8 #include <petscblaslapack.h>
9 
10 EXTERN_C_BEGIN
11 #if defined(PETSC_USE_COMPLEX)
12 #if defined(PETSC_USE_REAL_SINGLE)
13 #include <cmumps_c.h>
14 #else
15 #include <zmumps_c.h>
16 #endif
17 #else
18 #if defined(PETSC_USE_REAL_SINGLE)
19 #include <smumps_c.h>
20 #else
21 #include <dmumps_c.h>
22 #endif
23 #endif
24 EXTERN_C_END
25 #define JOB_INIT -1
26 #define JOB_FACTSYMBOLIC 1
27 #define JOB_FACTNUMERIC 2
28 #define JOB_SOLVE 3
29 #define JOB_END -2
30 
31 /* calls to MUMPS */
32 #if defined(PETSC_USE_COMPLEX)
33 #if defined(PETSC_USE_REAL_SINGLE)
34 #define PetscMUMPS_c cmumps_c
35 #else
36 #define PetscMUMPS_c zmumps_c
37 #endif
38 #else
39 #if defined(PETSC_USE_REAL_SINGLE)
40 #define PetscMUMPS_c smumps_c
41 #else
42 #define PetscMUMPS_c dmumps_c
43 #endif
44 #endif
45 
46 /* declare MumpsScalar */
47 #if defined(PETSC_USE_COMPLEX)
48 #if defined(PETSC_USE_REAL_SINGLE)
49 #define MumpsScalar mumps_complex
50 #else
51 #define MumpsScalar mumps_double_complex
52 #endif
53 #else
54 #define MumpsScalar PetscScalar
55 #endif
56 
57 /* macros s.t. indices match MUMPS documentation */
58 #define ICNTL(I) icntl[(I)-1]
59 #define CNTL(I) cntl[(I)-1]
60 #define INFOG(I) infog[(I)-1]
61 #define INFO(I) info[(I)-1]
62 #define RINFOG(I) rinfog[(I)-1]
63 #define RINFO(I) rinfo[(I)-1]
64 
65 typedef struct {
66 #if defined(PETSC_USE_COMPLEX)
67 #if defined(PETSC_USE_REAL_SINGLE)
68   CMUMPS_STRUC_C id;
69 #else
70   ZMUMPS_STRUC_C id;
71 #endif
72 #else
73 #if defined(PETSC_USE_REAL_SINGLE)
74   SMUMPS_STRUC_C id;
75 #else
76   DMUMPS_STRUC_C id;
77 #endif
78 #endif
79 
80   MatStructure matstruc;
81   PetscMPIInt  myid,size;
82   PetscInt     *irn,*jcn,nz,sym;
83   PetscScalar  *val;
84   MPI_Comm     comm_mumps;
85   PetscBool    isAIJ;
86   PetscInt     ICNTL9_pre;           /* check if ICNTL(9) is changed from previous MatSolve */
87   VecScatter   scat_rhs, scat_sol;   /* used by MatSolve() */
88   Vec          b_seq,x_seq;
89   PetscInt     ninfo,*info;          /* display INFO */
90   PetscInt     sizeredrhs;
91   PetscInt     *schur_pivots;
92   PetscInt     schur_B_lwork;
93   PetscScalar  *schur_work;
94   PetscScalar  *schur_sol;
95   PetscInt     schur_sizesol;
96   PetscBool    schur_factored;
97   PetscBool    schur_inverted;
98   PetscInt     schur_sym;
99 
100   PetscErrorCode (*ConvertToTriples)(Mat, int, MatReuse, int*, int**, int**, PetscScalar**);
101 } Mat_MUMPS;
102 
103 extern PetscErrorCode MatDuplicate_MUMPS(Mat,MatDuplicateOption,Mat*);
104 
105 static PetscErrorCode MatMumpsResetSchur_Private(Mat_MUMPS* mumps)
106 {
107   PetscErrorCode ierr;
108 
109   PetscFunctionBegin;
110   ierr = PetscFree2(mumps->id.listvar_schur,mumps->id.schur);CHKERRQ(ierr);
111   ierr = PetscFree(mumps->id.redrhs);CHKERRQ(ierr);
112   ierr = PetscFree(mumps->schur_sol);CHKERRQ(ierr);
113   ierr = PetscFree(mumps->schur_pivots);CHKERRQ(ierr);
114   ierr = PetscFree(mumps->schur_work);CHKERRQ(ierr);
115   mumps->id.size_schur = 0;
116   mumps->id.ICNTL(19) = 0;
117   PetscFunctionReturn(0);
118 }
119 
120 static PetscErrorCode MatMumpsFactorSchur_Private(Mat_MUMPS* mumps)
121 {
122   PetscBLASInt   B_N,B_ierr,B_slda;
123   PetscErrorCode ierr;
124 
125   PetscFunctionBegin;
126   if (mumps->schur_factored) {
127     PetscFunctionReturn(0);
128   }
129   ierr = PetscBLASIntCast(mumps->id.size_schur,&B_N);CHKERRQ(ierr);
130   ierr = PetscBLASIntCast(mumps->id.schur_lld,&B_slda);CHKERRQ(ierr);
131   if (!mumps->sym) { /* MUMPS always return a full Schur matrix */
132     if (!mumps->schur_pivots) {
133       ierr = PetscMalloc1(B_N,&mumps->schur_pivots);CHKERRQ(ierr);
134     }
135     ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr);
136     PetscStackCallBLAS("LAPACKgetrf",LAPACKgetrf_(&B_N,&B_N,(PetscScalar*)mumps->id.schur,&B_slda,mumps->schur_pivots,&B_ierr));
137     ierr = PetscFPTrapPop();CHKERRQ(ierr);
138     if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in GETRF Lapack routine %d",(int)B_ierr);
139   } else { /* either full or lower-triangular (not packed) */
140     char ord[2];
141     if (mumps->id.ICNTL(19) == 2 || mumps->id.ICNTL(19) == 3) { /* lower triangular stored by columns or full matrix */
142       sprintf(ord,"L");
143     } else { /* ICNTL(19) == 1 lower triangular stored by rows */
144       sprintf(ord,"U");
145     }
146     if (mumps->schur_sym == 2) {
147       if (!mumps->schur_pivots) {
148         PetscScalar  lwork;
149 
150         ierr = PetscMalloc1(B_N,&mumps->schur_pivots);CHKERRQ(ierr);
151         mumps->schur_B_lwork=-1;
152         ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr);
153         PetscStackCallBLAS("LAPACKsytrf",LAPACKsytrf_(ord,&B_N,(PetscScalar*)mumps->id.schur,&B_slda,mumps->schur_pivots,&lwork,&mumps->schur_B_lwork,&B_ierr));
154         ierr = PetscFPTrapPop();CHKERRQ(ierr);
155         if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in query to SYTRF Lapack routine %d",(int)B_ierr);
156         ierr = PetscBLASIntCast((PetscInt)PetscRealPart(lwork),&mumps->schur_B_lwork);CHKERRQ(ierr);
157         ierr = PetscMalloc1(mumps->schur_B_lwork,&mumps->schur_work);CHKERRQ(ierr);
158       }
159       ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr);
160       PetscStackCallBLAS("LAPACKsytrf",LAPACKsytrf_(ord,&B_N,(PetscScalar*)mumps->id.schur,&B_slda,mumps->schur_pivots,mumps->schur_work,&mumps->schur_B_lwork,&B_ierr));
161       ierr = PetscFPTrapPop();CHKERRQ(ierr);
162       if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in SYTRF Lapack routine %d",(int)B_ierr);
163     } else {
164       ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr);
165       PetscStackCallBLAS("LAPACKpotrf",LAPACKpotrf_(ord,&B_N,(PetscScalar*)mumps->id.schur,&B_slda,&B_ierr));
166       ierr = PetscFPTrapPop();CHKERRQ(ierr);
167       if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in POTRF Lapack routine %d",(int)B_ierr);
168     }
169   }
170   mumps->schur_factored = PETSC_TRUE;
171   PetscFunctionReturn(0);
172 }
173 
174 static PetscErrorCode MatMumpsInvertSchur_Private(Mat_MUMPS* mumps)
175 {
176   PetscBLASInt   B_N,B_ierr,B_slda;
177   PetscErrorCode ierr;
178 
179   PetscFunctionBegin;
180   ierr = MatMumpsFactorSchur_Private(mumps);CHKERRQ(ierr);
181   ierr = PetscBLASIntCast(mumps->id.size_schur,&B_N);CHKERRQ(ierr);
182   ierr = PetscBLASIntCast(mumps->id.schur_lld,&B_slda);CHKERRQ(ierr);
183   if (!mumps->sym) { /* MUMPS always return a full Schur matrix */
184     if (!mumps->schur_work) {
185       PetscScalar lwork;
186 
187       mumps->schur_B_lwork = -1;
188       ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr);
189       PetscStackCallBLAS("LAPACKgetri",LAPACKgetri_(&B_N,(PetscScalar*)mumps->id.schur,&B_N,mumps->schur_pivots,&lwork,&mumps->schur_B_lwork,&B_ierr));
190       ierr = PetscFPTrapPop();CHKERRQ(ierr);
191       if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in query to GETRI Lapack routine %d",(int)B_ierr);
192       ierr = PetscBLASIntCast((PetscInt)PetscRealPart(lwork),&mumps->schur_B_lwork);CHKERRQ(ierr);
193       ierr = PetscMalloc1(mumps->schur_B_lwork,&mumps->schur_work);CHKERRQ(ierr);
194     }
195     ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr);
196     PetscStackCallBLAS("LAPACKgetri",LAPACKgetri_(&B_N,(PetscScalar*)mumps->id.schur,&B_N,mumps->schur_pivots,mumps->schur_work,&mumps->schur_B_lwork,&B_ierr));
197     ierr = PetscFPTrapPop();CHKERRQ(ierr);
198     if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in GETRI Lapack routine %d",(int)B_ierr);
199   } else { /* either full or lower-triangular (not packed) */
200     char ord[2];
201     if (mumps->id.ICNTL(19) == 2 || mumps->id.ICNTL(19) == 3) { /* lower triangular stored by columns or full matrix */
202       sprintf(ord,"L");
203     } else { /* ICNTL(19) == 1 lower triangular stored by rows */
204       sprintf(ord,"U");
205     }
206     if (mumps->schur_sym == 2) {
207       ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr);
208       PetscStackCallBLAS("LAPACKsytri",LAPACKsytri_(ord,&B_N,(PetscScalar*)mumps->id.schur,&B_N,mumps->schur_pivots,mumps->schur_work,&B_ierr));
209       ierr = PetscFPTrapPop();CHKERRQ(ierr);
210       if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in SYTRI Lapack routine %d",(int)B_ierr);
211     } else {
212       ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr);
213       PetscStackCallBLAS("LAPACKpotri",LAPACKpotri_(ord,&B_N,(PetscScalar*)mumps->id.schur,&B_N,&B_ierr));
214       ierr = PetscFPTrapPop();CHKERRQ(ierr);
215       if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in POTRI Lapack routine %d",(int)B_ierr);
216     }
217   }
218   mumps->schur_inverted = PETSC_TRUE;
219   PetscFunctionReturn(0);
220 }
221 
222 static PetscErrorCode MatMumpsSolveSchur_Private(Mat_MUMPS* mumps, PetscBool sol_in_redrhs)
223 {
224   PetscBLASInt   B_N,B_Nrhs,B_ierr,B_slda,B_rlda;
225   PetscScalar    one=1.,zero=0.;
226   PetscErrorCode ierr;
227 
228   PetscFunctionBegin;
229   ierr = MatMumpsFactorSchur_Private(mumps);CHKERRQ(ierr);
230   ierr = PetscBLASIntCast(mumps->id.size_schur,&B_N);CHKERRQ(ierr);
231   ierr = PetscBLASIntCast(mumps->id.schur_lld,&B_slda);CHKERRQ(ierr);
232   ierr = PetscBLASIntCast(mumps->id.nrhs,&B_Nrhs);CHKERRQ(ierr);
233   ierr = PetscBLASIntCast(mumps->id.lredrhs,&B_rlda);CHKERRQ(ierr);
234   if (mumps->schur_inverted) {
235     PetscInt sizesol = B_Nrhs*B_N;
236     if (!mumps->schur_sol || sizesol > mumps->schur_sizesol) {
237       ierr = PetscFree(mumps->schur_sol);CHKERRQ(ierr);
238       ierr = PetscMalloc1(sizesol,&mumps->schur_sol);CHKERRQ(ierr);
239       mumps->schur_sizesol = sizesol;
240     }
241     if (!mumps->sym) {
242       char type[2];
243       if (mumps->id.ICNTL(19) == 1) { /* stored by rows */
244         if (!mumps->id.ICNTL(9)) { /* transpose solve */
245           sprintf(type,"N");
246         } else {
247           sprintf(type,"T");
248         }
249       } else { /* stored by columns */
250         if (!mumps->id.ICNTL(9)) { /* transpose solve */
251           sprintf(type,"T");
252         } else {
253           sprintf(type,"N");
254         }
255       }
256       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));
257     } else {
258       char ord[2];
259       if (mumps->id.ICNTL(19) == 2 || mumps->id.ICNTL(19) == 3) { /* lower triangular stored by columns or full matrix */
260         sprintf(ord,"L");
261       } else { /* ICNTL(19) == 1 lower triangular stored by rows */
262         sprintf(ord,"U");
263       }
264       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));
265     }
266     if (sol_in_redrhs) {
267       ierr = PetscMemcpy(mumps->id.redrhs,mumps->schur_sol,sizesol*sizeof(PetscScalar));CHKERRQ(ierr);
268     }
269   } else { /* Schur complement has not yet been inverted */
270     MumpsScalar *orhs=NULL;
271 
272     if (!sol_in_redrhs) {
273       PetscInt sizesol = B_Nrhs*B_N;
274       if (!mumps->schur_sol || sizesol > mumps->schur_sizesol) {
275         ierr = PetscFree(mumps->schur_sol);CHKERRQ(ierr);
276         ierr = PetscMalloc1(sizesol,&mumps->schur_sol);CHKERRQ(ierr);
277         mumps->schur_sizesol = sizesol;
278       }
279       orhs = mumps->id.redrhs;
280       ierr = PetscMemcpy(mumps->schur_sol,mumps->id.redrhs,sizesol*sizeof(PetscScalar));CHKERRQ(ierr);
281       mumps->id.redrhs = (MumpsScalar*)mumps->schur_sol;
282     }
283     if (!mumps->sym) { /* MUMPS always return a full Schur matrix */
284       char type[2];
285       if (mumps->id.ICNTL(19) == 1) { /* stored by rows */
286         if (!mumps->id.ICNTL(9)) { /* transpose solve */
287           sprintf(type,"N");
288         } else {
289           sprintf(type,"T");
290         }
291       } else { /* stored by columns */
292         if (!mumps->id.ICNTL(9)) { /* transpose solve */
293           sprintf(type,"T");
294         } else {
295           sprintf(type,"N");
296         }
297       }
298       ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr);
299       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));
300       ierr = PetscFPTrapPop();CHKERRQ(ierr);
301       if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in GETRS Lapack routine %d",(int)B_ierr);
302     } else { /* either full or lower-triangular (not packed) */
303       char ord[2];
304       if (mumps->id.ICNTL(19) == 2 || mumps->id.ICNTL(19) == 3) { /* lower triangular stored by columns or full matrix */
305         sprintf(ord,"L");
306       } else { /* ICNTL(19) == 1 lower triangular stored by rows */
307         sprintf(ord,"U");
308       }
309       if (mumps->schur_sym == 2) {
310         ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr);
311         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));
312         ierr = PetscFPTrapPop();CHKERRQ(ierr);
313         if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in SYTRS Lapack routine %d",(int)B_ierr);
314       } else {
315         ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr);
316         PetscStackCallBLAS("LAPACKpotrs",LAPACKpotrs_(ord,&B_N,&B_Nrhs,(PetscScalar*)mumps->id.schur,&B_slda,(PetscScalar*)mumps->id.redrhs,&B_rlda,&B_ierr));
317         ierr = PetscFPTrapPop();CHKERRQ(ierr);
318         if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in POTRS Lapack routine %d",(int)B_ierr);
319       }
320     }
321     if (!sol_in_redrhs) {
322       mumps->id.redrhs = orhs;
323     }
324   }
325   PetscFunctionReturn(0);
326 }
327 
328 static PetscErrorCode MatMumpsHandleSchur_Private(Mat_MUMPS* mumps, PetscBool expansion)
329 {
330   PetscErrorCode ierr;
331 
332   PetscFunctionBegin;
333   if (!mumps->id.ICNTL(19)) { /* do nothing when Schur complement has not been computed */
334     PetscFunctionReturn(0);
335   }
336   if (!expansion) { /* prepare for the condensation step */
337     PetscInt sizeredrhs = mumps->id.nrhs*mumps->id.size_schur;
338     /* allocate MUMPS internal array to store reduced right-hand sides */
339     if (!mumps->id.redrhs || sizeredrhs > mumps->sizeredrhs) {
340       ierr = PetscFree(mumps->id.redrhs);CHKERRQ(ierr);
341       mumps->id.lredrhs = mumps->id.size_schur;
342       ierr = PetscMalloc1(mumps->id.nrhs*mumps->id.lredrhs,&mumps->id.redrhs);CHKERRQ(ierr);
343       mumps->sizeredrhs = mumps->id.nrhs*mumps->id.lredrhs;
344     }
345     mumps->id.ICNTL(26) = 1; /* condensation phase */
346   } else { /* prepare for the expansion step */
347     /* solve Schur complement (this has to be done by the MUMPS user, so basically us) */
348     ierr = MatMumpsSolveSchur_Private(mumps,PETSC_TRUE);CHKERRQ(ierr);
349     mumps->id.ICNTL(26) = 2; /* expansion phase */
350     PetscMUMPS_c(&mumps->id);
351     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));
352     /* restore defaults */
353     mumps->id.ICNTL(26) = -1;
354     /* free MUMPS internal array for redrhs if we have solved for multiple rhs in order to save memory space */
355     if (mumps->id.nrhs > 1) {
356       ierr = PetscFree(mumps->id.redrhs);CHKERRQ(ierr);
357       mumps->id.lredrhs = 0;
358       mumps->sizeredrhs = 0;
359     }
360   }
361   PetscFunctionReturn(0);
362 }
363 
364 /*
365   MatConvertToTriples_A_B - convert Petsc matrix to triples: row[nz], col[nz], val[nz]
366 
367   input:
368     A       - matrix in aij,baij or sbaij (bs=1) format
369     shift   - 0: C style output triple; 1: Fortran style output triple.
370     reuse   - MAT_INITIAL_MATRIX: spaces are allocated and values are set for the triple
371               MAT_REUSE_MATRIX:   only the values in v array are updated
372   output:
373     nnz     - dim of r, c, and v (number of local nonzero entries of A)
374     r, c, v - row and col index, matrix values (matrix triples)
375 
376   The returned values r, c, and sometimes v are obtained in a single PetscMalloc(). Then in MatDestroy_MUMPS() it is
377   freed with PetscFree((mumps->irn);  This is not ideal code, the fact that v is ONLY sometimes part of mumps->irn means
378   that the PetscMalloc() cannot easily be replaced with a PetscMalloc3().
379 
380  */
381 
382 PetscErrorCode MatConvertToTriples_seqaij_seqaij(Mat A,int shift,MatReuse reuse,int *nnz,int **r, int **c, PetscScalar **v)
383 {
384   const PetscInt *ai,*aj,*ajj,M=A->rmap->n;
385   PetscInt       nz,rnz,i,j;
386   PetscErrorCode ierr;
387   PetscInt       *row,*col;
388   Mat_SeqAIJ     *aa=(Mat_SeqAIJ*)A->data;
389 
390   PetscFunctionBegin;
391   *v=aa->a;
392   if (reuse == MAT_INITIAL_MATRIX) {
393     nz   = aa->nz;
394     ai   = aa->i;
395     aj   = aa->j;
396     *nnz = nz;
397     ierr = PetscMalloc1(2*nz, &row);CHKERRQ(ierr);
398     col  = row + nz;
399 
400     nz = 0;
401     for (i=0; i<M; i++) {
402       rnz = ai[i+1] - ai[i];
403       ajj = aj + ai[i];
404       for (j=0; j<rnz; j++) {
405         row[nz] = i+shift; col[nz++] = ajj[j] + shift;
406       }
407     }
408     *r = row; *c = col;
409   }
410   PetscFunctionReturn(0);
411 }
412 
413 PetscErrorCode MatConvertToTriples_seqbaij_seqaij(Mat A,int shift,MatReuse reuse,int *nnz,int **r, int **c, PetscScalar **v)
414 {
415   Mat_SeqBAIJ    *aa=(Mat_SeqBAIJ*)A->data;
416   const PetscInt *ai,*aj,*ajj,bs2 = aa->bs2;
417   PetscInt       bs,M,nz,idx=0,rnz,i,j,k,m;
418   PetscErrorCode ierr;
419   PetscInt       *row,*col;
420 
421   PetscFunctionBegin;
422   ierr = MatGetBlockSize(A,&bs);CHKERRQ(ierr);
423   M = A->rmap->N/bs;
424   *v = aa->a;
425   if (reuse == MAT_INITIAL_MATRIX) {
426     ai   = aa->i; aj = aa->j;
427     nz   = bs2*aa->nz;
428     *nnz = nz;
429     ierr = PetscMalloc1(2*nz, &row);CHKERRQ(ierr);
430     col  = row + nz;
431 
432     for (i=0; i<M; i++) {
433       ajj = aj + ai[i];
434       rnz = ai[i+1] - ai[i];
435       for (k=0; k<rnz; k++) {
436         for (j=0; j<bs; j++) {
437           for (m=0; m<bs; m++) {
438             row[idx]   = i*bs + m + shift;
439             col[idx++] = bs*(ajj[k]) + j + shift;
440           }
441         }
442       }
443     }
444     *r = row; *c = col;
445   }
446   PetscFunctionReturn(0);
447 }
448 
449 PetscErrorCode MatConvertToTriples_seqsbaij_seqsbaij(Mat A,int shift,MatReuse reuse,int *nnz,int **r, int **c, PetscScalar **v)
450 {
451   const PetscInt *ai, *aj,*ajj,M=A->rmap->n;
452   PetscInt       nz,rnz,i,j;
453   PetscErrorCode ierr;
454   PetscInt       *row,*col;
455   Mat_SeqSBAIJ   *aa=(Mat_SeqSBAIJ*)A->data;
456 
457   PetscFunctionBegin;
458   *v = aa->a;
459   if (reuse == MAT_INITIAL_MATRIX) {
460     nz   = aa->nz;
461     ai   = aa->i;
462     aj   = aa->j;
463     *v   = aa->a;
464     *nnz = nz;
465     ierr = PetscMalloc1(2*nz, &row);CHKERRQ(ierr);
466     col  = row + nz;
467 
468     nz = 0;
469     for (i=0; i<M; i++) {
470       rnz = ai[i+1] - ai[i];
471       ajj = aj + ai[i];
472       for (j=0; j<rnz; j++) {
473         row[nz] = i+shift; col[nz++] = ajj[j] + shift;
474       }
475     }
476     *r = row; *c = col;
477   }
478   PetscFunctionReturn(0);
479 }
480 
481 PetscErrorCode MatConvertToTriples_seqaij_seqsbaij(Mat A,int shift,MatReuse reuse,int *nnz,int **r, int **c, PetscScalar **v)
482 {
483   const PetscInt    *ai,*aj,*ajj,*adiag,M=A->rmap->n;
484   PetscInt          nz,rnz,i,j;
485   const PetscScalar *av,*v1;
486   PetscScalar       *val;
487   PetscErrorCode    ierr;
488   PetscInt          *row,*col;
489   Mat_SeqAIJ        *aa=(Mat_SeqAIJ*)A->data;
490   PetscBool         missing;
491 
492   PetscFunctionBegin;
493   ai   =aa->i; aj=aa->j;av=aa->a;
494   adiag=aa->diag;
495   ierr  = MatMissingDiagonal_SeqAIJ(A,&missing,&i);CHKERRQ(ierr);
496   if (reuse == MAT_INITIAL_MATRIX) {
497     /* count nz in the uppper triangular part of A */
498     nz = 0;
499     if (missing) {
500       for (i=0; i<M; i++) {
501         if (PetscUnlikely(adiag[i] >= ai[i+1])) {
502           for (j=ai[i];j<ai[i+1];j++) {
503             if (aj[j] < i) continue;
504             nz++;
505           }
506         } else {
507           nz += ai[i+1] - adiag[i];
508         }
509       }
510     } else {
511       for (i=0; i<M; i++) nz += ai[i+1] - adiag[i];
512     }
513     *nnz = nz;
514 
515     ierr = PetscMalloc((2*nz*sizeof(PetscInt)+nz*sizeof(PetscScalar)), &row);CHKERRQ(ierr);
516     col  = row + nz;
517     val  = (PetscScalar*)(col + nz);
518 
519     nz = 0;
520     if (missing) {
521       for (i=0; i<M; i++) {
522         if (PetscUnlikely(adiag[i] >= ai[i+1])) {
523           for (j=ai[i];j<ai[i+1];j++) {
524             if (aj[j] < i) continue;
525             row[nz] = i+shift;
526             col[nz] = aj[j]+shift;
527             val[nz] = av[j];
528             nz++;
529           }
530         } else {
531           rnz = ai[i+1] - adiag[i];
532           ajj = aj + adiag[i];
533           v1  = av + adiag[i];
534           for (j=0; j<rnz; j++) {
535             row[nz] = i+shift; col[nz] = ajj[j] + shift; val[nz++] = v1[j];
536           }
537         }
538       }
539     } else {
540       for (i=0; i<M; i++) {
541         rnz = ai[i+1] - adiag[i];
542         ajj = aj + adiag[i];
543         v1  = av + adiag[i];
544         for (j=0; j<rnz; j++) {
545           row[nz] = i+shift; col[nz] = ajj[j] + shift; val[nz++] = v1[j];
546         }
547       }
548     }
549     *r = row; *c = col; *v = val;
550   } else {
551     nz = 0; val = *v;
552     if (missing) {
553       for (i=0; i <M; i++) {
554         if (PetscUnlikely(adiag[i] >= ai[i+1])) {
555           for (j=ai[i];j<ai[i+1];j++) {
556             if (aj[j] < i) continue;
557             val[nz++] = av[j];
558           }
559         } else {
560           rnz = ai[i+1] - adiag[i];
561           v1  = av + adiag[i];
562           for (j=0; j<rnz; j++) {
563             val[nz++] = v1[j];
564           }
565         }
566       }
567     } else {
568       for (i=0; i <M; i++) {
569         rnz = ai[i+1] - adiag[i];
570         v1  = av + adiag[i];
571         for (j=0; j<rnz; j++) {
572           val[nz++] = v1[j];
573         }
574       }
575     }
576   }
577   PetscFunctionReturn(0);
578 }
579 
580 PetscErrorCode MatConvertToTriples_mpisbaij_mpisbaij(Mat A,int shift,MatReuse reuse,int *nnz,int **r, int **c, PetscScalar **v)
581 {
582   const PetscInt    *ai, *aj, *bi, *bj,*garray,m=A->rmap->n,*ajj,*bjj;
583   PetscErrorCode    ierr;
584   PetscInt          rstart,nz,i,j,jj,irow,countA,countB;
585   PetscInt          *row,*col;
586   const PetscScalar *av, *bv,*v1,*v2;
587   PetscScalar       *val;
588   Mat_MPISBAIJ      *mat = (Mat_MPISBAIJ*)A->data;
589   Mat_SeqSBAIJ      *aa  = (Mat_SeqSBAIJ*)(mat->A)->data;
590   Mat_SeqBAIJ       *bb  = (Mat_SeqBAIJ*)(mat->B)->data;
591 
592   PetscFunctionBegin;
593   ai=aa->i; aj=aa->j; bi=bb->i; bj=bb->j; rstart= A->rmap->rstart;
594   av=aa->a; bv=bb->a;
595 
596   garray = mat->garray;
597 
598   if (reuse == MAT_INITIAL_MATRIX) {
599     nz   = aa->nz + bb->nz;
600     *nnz = nz;
601     ierr = PetscMalloc((2*nz*sizeof(PetscInt)+nz*sizeof(PetscScalar)), &row);CHKERRQ(ierr);
602     col  = row + nz;
603     val  = (PetscScalar*)(col + nz);
604 
605     *r = row; *c = col; *v = val;
606   } else {
607     row = *r; col = *c; val = *v;
608   }
609 
610   jj = 0; irow = rstart;
611   for (i=0; i<m; i++) {
612     ajj    = aj + ai[i];                 /* ptr to the beginning of this row */
613     countA = ai[i+1] - ai[i];
614     countB = bi[i+1] - bi[i];
615     bjj    = bj + bi[i];
616     v1     = av + ai[i];
617     v2     = bv + bi[i];
618 
619     /* A-part */
620     for (j=0; j<countA; j++) {
621       if (reuse == MAT_INITIAL_MATRIX) {
622         row[jj] = irow + shift; col[jj] = rstart + ajj[j] + shift;
623       }
624       val[jj++] = v1[j];
625     }
626 
627     /* B-part */
628     for (j=0; j < countB; j++) {
629       if (reuse == MAT_INITIAL_MATRIX) {
630         row[jj] = irow + shift; col[jj] = garray[bjj[j]] + shift;
631       }
632       val[jj++] = v2[j];
633     }
634     irow++;
635   }
636   PetscFunctionReturn(0);
637 }
638 
639 PetscErrorCode MatConvertToTriples_mpiaij_mpiaij(Mat A,int shift,MatReuse reuse,int *nnz,int **r, int **c, PetscScalar **v)
640 {
641   const PetscInt    *ai, *aj, *bi, *bj,*garray,m=A->rmap->n,*ajj,*bjj;
642   PetscErrorCode    ierr;
643   PetscInt          rstart,nz,i,j,jj,irow,countA,countB;
644   PetscInt          *row,*col;
645   const PetscScalar *av, *bv,*v1,*v2;
646   PetscScalar       *val;
647   Mat_MPIAIJ        *mat = (Mat_MPIAIJ*)A->data;
648   Mat_SeqAIJ        *aa  = (Mat_SeqAIJ*)(mat->A)->data;
649   Mat_SeqAIJ        *bb  = (Mat_SeqAIJ*)(mat->B)->data;
650 
651   PetscFunctionBegin;
652   ai=aa->i; aj=aa->j; bi=bb->i; bj=bb->j; rstart= A->rmap->rstart;
653   av=aa->a; bv=bb->a;
654 
655   garray = mat->garray;
656 
657   if (reuse == MAT_INITIAL_MATRIX) {
658     nz   = aa->nz + bb->nz;
659     *nnz = nz;
660     ierr = PetscMalloc((2*nz*sizeof(PetscInt)+nz*sizeof(PetscScalar)), &row);CHKERRQ(ierr);
661     col  = row + nz;
662     val  = (PetscScalar*)(col + nz);
663 
664     *r = row; *c = col; *v = val;
665   } else {
666     row = *r; col = *c; val = *v;
667   }
668 
669   jj = 0; irow = rstart;
670   for (i=0; i<m; i++) {
671     ajj    = aj + ai[i];                 /* ptr to the beginning of this row */
672     countA = ai[i+1] - ai[i];
673     countB = bi[i+1] - bi[i];
674     bjj    = bj + bi[i];
675     v1     = av + ai[i];
676     v2     = bv + bi[i];
677 
678     /* A-part */
679     for (j=0; j<countA; j++) {
680       if (reuse == MAT_INITIAL_MATRIX) {
681         row[jj] = irow + shift; col[jj] = rstart + ajj[j] + shift;
682       }
683       val[jj++] = v1[j];
684     }
685 
686     /* B-part */
687     for (j=0; j < countB; j++) {
688       if (reuse == MAT_INITIAL_MATRIX) {
689         row[jj] = irow + shift; col[jj] = garray[bjj[j]] + shift;
690       }
691       val[jj++] = v2[j];
692     }
693     irow++;
694   }
695   PetscFunctionReturn(0);
696 }
697 
698 PetscErrorCode MatConvertToTriples_mpibaij_mpiaij(Mat A,int shift,MatReuse reuse,int *nnz,int **r, int **c, PetscScalar **v)
699 {
700   Mat_MPIBAIJ       *mat    = (Mat_MPIBAIJ*)A->data;
701   Mat_SeqBAIJ       *aa     = (Mat_SeqBAIJ*)(mat->A)->data;
702   Mat_SeqBAIJ       *bb     = (Mat_SeqBAIJ*)(mat->B)->data;
703   const PetscInt    *ai     = aa->i, *bi = bb->i, *aj = aa->j, *bj = bb->j,*ajj, *bjj;
704   const PetscInt    *garray = mat->garray,mbs=mat->mbs,rstart=A->rmap->rstart;
705   const PetscInt    bs2=mat->bs2;
706   PetscErrorCode    ierr;
707   PetscInt          bs,nz,i,j,k,n,jj,irow,countA,countB,idx;
708   PetscInt          *row,*col;
709   const PetscScalar *av=aa->a, *bv=bb->a,*v1,*v2;
710   PetscScalar       *val;
711 
712   PetscFunctionBegin;
713   ierr = MatGetBlockSize(A,&bs);CHKERRQ(ierr);
714   if (reuse == MAT_INITIAL_MATRIX) {
715     nz   = bs2*(aa->nz + bb->nz);
716     *nnz = nz;
717     ierr = PetscMalloc((2*nz*sizeof(PetscInt)+nz*sizeof(PetscScalar)), &row);CHKERRQ(ierr);
718     col  = row + nz;
719     val  = (PetscScalar*)(col + nz);
720 
721     *r = row; *c = col; *v = val;
722   } else {
723     row = *r; col = *c; val = *v;
724   }
725 
726   jj = 0; irow = rstart;
727   for (i=0; i<mbs; i++) {
728     countA = ai[i+1] - ai[i];
729     countB = bi[i+1] - bi[i];
730     ajj    = aj + ai[i];
731     bjj    = bj + bi[i];
732     v1     = av + bs2*ai[i];
733     v2     = bv + bs2*bi[i];
734 
735     idx = 0;
736     /* A-part */
737     for (k=0; k<countA; k++) {
738       for (j=0; j<bs; j++) {
739         for (n=0; n<bs; n++) {
740           if (reuse == MAT_INITIAL_MATRIX) {
741             row[jj] = irow + n + shift;
742             col[jj] = rstart + bs*ajj[k] + j + shift;
743           }
744           val[jj++] = v1[idx++];
745         }
746       }
747     }
748 
749     idx = 0;
750     /* B-part */
751     for (k=0; k<countB; k++) {
752       for (j=0; j<bs; j++) {
753         for (n=0; n<bs; n++) {
754           if (reuse == MAT_INITIAL_MATRIX) {
755             row[jj] = irow + n + shift;
756             col[jj] = bs*garray[bjj[k]] + j + shift;
757           }
758           val[jj++] = v2[idx++];
759         }
760       }
761     }
762     irow += bs;
763   }
764   PetscFunctionReturn(0);
765 }
766 
767 PetscErrorCode MatConvertToTriples_mpiaij_mpisbaij(Mat A,int shift,MatReuse reuse,int *nnz,int **r, int **c, PetscScalar **v)
768 {
769   const PetscInt    *ai, *aj,*adiag, *bi, *bj,*garray,m=A->rmap->n,*ajj,*bjj;
770   PetscErrorCode    ierr;
771   PetscInt          rstart,nz,nza,nzb,i,j,jj,irow,countA,countB;
772   PetscInt          *row,*col;
773   const PetscScalar *av, *bv,*v1,*v2;
774   PetscScalar       *val;
775   Mat_MPIAIJ        *mat =  (Mat_MPIAIJ*)A->data;
776   Mat_SeqAIJ        *aa  =(Mat_SeqAIJ*)(mat->A)->data;
777   Mat_SeqAIJ        *bb  =(Mat_SeqAIJ*)(mat->B)->data;
778 
779   PetscFunctionBegin;
780   ai=aa->i; aj=aa->j; adiag=aa->diag;
781   bi=bb->i; bj=bb->j; garray = mat->garray;
782   av=aa->a; bv=bb->a;
783 
784   rstart = A->rmap->rstart;
785 
786   if (reuse == MAT_INITIAL_MATRIX) {
787     nza = 0;    /* num of upper triangular entries in mat->A, including diagonals */
788     nzb = 0;    /* num of upper triangular entries in mat->B */
789     for (i=0; i<m; i++) {
790       nza   += (ai[i+1] - adiag[i]);
791       countB = bi[i+1] - bi[i];
792       bjj    = bj + bi[i];
793       for (j=0; j<countB; j++) {
794         if (garray[bjj[j]] > rstart) nzb++;
795       }
796     }
797 
798     nz   = nza + nzb; /* total nz of upper triangular part of mat */
799     *nnz = nz;
800     ierr = PetscMalloc((2*nz*sizeof(PetscInt)+nz*sizeof(PetscScalar)), &row);CHKERRQ(ierr);
801     col  = row + nz;
802     val  = (PetscScalar*)(col + nz);
803 
804     *r = row; *c = col; *v = val;
805   } else {
806     row = *r; col = *c; val = *v;
807   }
808 
809   jj = 0; irow = rstart;
810   for (i=0; i<m; i++) {
811     ajj    = aj + adiag[i];                 /* ptr to the beginning of the diagonal of this row */
812     v1     = av + adiag[i];
813     countA = ai[i+1] - adiag[i];
814     countB = bi[i+1] - bi[i];
815     bjj    = bj + bi[i];
816     v2     = bv + bi[i];
817 
818     /* A-part */
819     for (j=0; j<countA; j++) {
820       if (reuse == MAT_INITIAL_MATRIX) {
821         row[jj] = irow + shift; col[jj] = rstart + ajj[j] + shift;
822       }
823       val[jj++] = v1[j];
824     }
825 
826     /* B-part */
827     for (j=0; j < countB; j++) {
828       if (garray[bjj[j]] > rstart) {
829         if (reuse == MAT_INITIAL_MATRIX) {
830           row[jj] = irow + shift; col[jj] = garray[bjj[j]] + shift;
831         }
832         val[jj++] = v2[j];
833       }
834     }
835     irow++;
836   }
837   PetscFunctionReturn(0);
838 }
839 
840 PetscErrorCode MatDestroy_MUMPS(Mat A)
841 {
842   Mat_MUMPS      *mumps=(Mat_MUMPS*)A->data;
843   PetscErrorCode ierr;
844 
845   PetscFunctionBegin;
846   ierr = PetscFree2(mumps->id.sol_loc,mumps->id.isol_loc);CHKERRQ(ierr);
847   ierr = VecScatterDestroy(&mumps->scat_rhs);CHKERRQ(ierr);
848   ierr = VecScatterDestroy(&mumps->scat_sol);CHKERRQ(ierr);
849   ierr = VecDestroy(&mumps->b_seq);CHKERRQ(ierr);
850   ierr = VecDestroy(&mumps->x_seq);CHKERRQ(ierr);
851   ierr = PetscFree(mumps->id.perm_in);CHKERRQ(ierr);
852   ierr = PetscFree(mumps->irn);CHKERRQ(ierr);
853   ierr = PetscFree(mumps->info);CHKERRQ(ierr);
854   ierr = MatMumpsResetSchur_Private(mumps);CHKERRQ(ierr);
855   mumps->id.job = JOB_END;
856   PetscMUMPS_c(&mumps->id);
857   ierr = MPI_Comm_free(&mumps->comm_mumps);CHKERRQ(ierr);
858   ierr = PetscFree(A->data);CHKERRQ(ierr);
859 
860   /* clear composed functions */
861   ierr = PetscObjectComposeFunction((PetscObject)A,"MatFactorGetSolverPackage_C",NULL);CHKERRQ(ierr);
862   ierr = PetscObjectComposeFunction((PetscObject)A,"MatFactorSetSchurIS_C",NULL);CHKERRQ(ierr);
863   ierr = PetscObjectComposeFunction((PetscObject)A,"MatFactorInvertSchurComplement_C",NULL);CHKERRQ(ierr);
864   ierr = PetscObjectComposeFunction((PetscObject)A,"MatFactorCreateSchurComplement_C",NULL);CHKERRQ(ierr);
865   ierr = PetscObjectComposeFunction((PetscObject)A,"MatFactorGetSchurComplement_C",NULL);CHKERRQ(ierr);
866   ierr = PetscObjectComposeFunction((PetscObject)A,"MatFactorSolveSchurComplement_C",NULL);CHKERRQ(ierr);
867   ierr = PetscObjectComposeFunction((PetscObject)A,"MatFactorSolveSchurComplementTranspose_C",NULL);CHKERRQ(ierr);
868   ierr = PetscObjectComposeFunction((PetscObject)A,"MatFactorFactorizeSchurComplement_C",NULL);CHKERRQ(ierr);
869   ierr = PetscObjectComposeFunction((PetscObject)A,"MatFactorSetSchurComplementSolverType_C",NULL);CHKERRQ(ierr);
870   ierr = PetscObjectComposeFunction((PetscObject)A,"MatMumpsSetIcntl_C",NULL);CHKERRQ(ierr);
871   ierr = PetscObjectComposeFunction((PetscObject)A,"MatMumpsGetIcntl_C",NULL);CHKERRQ(ierr);
872   ierr = PetscObjectComposeFunction((PetscObject)A,"MatMumpsSetCntl_C",NULL);CHKERRQ(ierr);
873   ierr = PetscObjectComposeFunction((PetscObject)A,"MatMumpsGetCntl_C",NULL);CHKERRQ(ierr);
874   ierr = PetscObjectComposeFunction((PetscObject)A,"MatMumpsGetInfo_C",NULL);CHKERRQ(ierr);
875   ierr = PetscObjectComposeFunction((PetscObject)A,"MatMumpsGetInfog_C",NULL);CHKERRQ(ierr);
876   ierr = PetscObjectComposeFunction((PetscObject)A,"MatMumpsGetRinfo_C",NULL);CHKERRQ(ierr);
877   ierr = PetscObjectComposeFunction((PetscObject)A,"MatMumpsGetRinfog_C",NULL);CHKERRQ(ierr);
878   PetscFunctionReturn(0);
879 }
880 
881 PetscErrorCode MatSolve_MUMPS(Mat A,Vec b,Vec x)
882 {
883   Mat_MUMPS        *mumps=(Mat_MUMPS*)A->data;
884   PetscScalar      *array;
885   Vec              b_seq;
886   IS               is_iden,is_petsc;
887   PetscErrorCode   ierr;
888   PetscInt         i;
889   PetscBool        second_solve = PETSC_FALSE;
890   static PetscBool cite1 = PETSC_FALSE,cite2 = PETSC_FALSE;
891 
892   PetscFunctionBegin;
893   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);
894   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);
895 
896   if (A->factorerrortype) {
897     ierr = PetscInfo2(A,"MatSolve is called with singular matrix factor, INFOG(1)=%d, INFO(2)=%d\n",mumps->id.INFOG(1),mumps->id.INFO(2));CHKERRQ(ierr);
898     ierr = VecSetInf(x);CHKERRQ(ierr);
899     PetscFunctionReturn(0);
900   }
901 
902   mumps->id.nrhs = 1;
903   b_seq          = mumps->b_seq;
904   if (mumps->size > 1) {
905     /* MUMPS only supports centralized rhs. Scatter b into a seqential rhs vector */
906     ierr = VecScatterBegin(mumps->scat_rhs,b,b_seq,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
907     ierr = VecScatterEnd(mumps->scat_rhs,b,b_seq,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
908     if (!mumps->myid) {ierr = VecGetArray(b_seq,&array);CHKERRQ(ierr);}
909   } else {  /* size == 1 */
910     ierr = VecCopy(b,x);CHKERRQ(ierr);
911     ierr = VecGetArray(x,&array);CHKERRQ(ierr);
912   }
913   if (!mumps->myid) { /* define rhs on the host */
914     mumps->id.nrhs = 1;
915     mumps->id.rhs = (MumpsScalar*)array;
916   }
917 
918   /*
919      handle condensation step of Schur complement (if any)
920      We set by default ICNTL(26) == -1 when Schur indices have been provided by the user.
921      According to MUMPS (5.0.0) manual, any value should be harmful during the factorization phase
922      Unless the user provides a valid value for ICNTL(26), MatSolve and MatMatSolve routines solve the full system.
923      This requires an extra call to PetscMUMPS_c and the computation of the factors for S
924   */
925   if (mumps->id.ICNTL(26) < 0 || mumps->id.ICNTL(26) > 2) {
926     second_solve = PETSC_TRUE;
927     ierr = MatMumpsHandleSchur_Private(mumps,PETSC_FALSE);CHKERRQ(ierr);
928   }
929   /* solve phase */
930   /*-------------*/
931   mumps->id.job = JOB_SOLVE;
932   PetscMUMPS_c(&mumps->id);
933   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));
934 
935   /* handle expansion step of Schur complement (if any) */
936   if (second_solve) {
937     ierr = MatMumpsHandleSchur_Private(mumps,PETSC_TRUE);CHKERRQ(ierr);
938   }
939 
940   if (mumps->size > 1) { /* convert mumps distributed solution to petsc mpi x */
941     if (mumps->scat_sol && mumps->ICNTL9_pre != mumps->id.ICNTL(9)) {
942       /* when id.ICNTL(9) changes, the contents of lsol_loc may change (not its size, lsol_loc), recreates scat_sol */
943       ierr = VecScatterDestroy(&mumps->scat_sol);CHKERRQ(ierr);
944     }
945     if (!mumps->scat_sol) { /* create scatter scat_sol */
946       ierr = ISCreateStride(PETSC_COMM_SELF,mumps->id.lsol_loc,0,1,&is_iden);CHKERRQ(ierr); /* from */
947       for (i=0; i<mumps->id.lsol_loc; i++) {
948         mumps->id.isol_loc[i] -= 1; /* change Fortran style to C style */
949       }
950       ierr = ISCreateGeneral(PETSC_COMM_SELF,mumps->id.lsol_loc,mumps->id.isol_loc,PETSC_COPY_VALUES,&is_petsc);CHKERRQ(ierr);  /* to */
951       ierr = VecScatterCreate(mumps->x_seq,is_iden,x,is_petsc,&mumps->scat_sol);CHKERRQ(ierr);
952       ierr = ISDestroy(&is_iden);CHKERRQ(ierr);
953       ierr = ISDestroy(&is_petsc);CHKERRQ(ierr);
954 
955       mumps->ICNTL9_pre = mumps->id.ICNTL(9); /* save current value of id.ICNTL(9) */
956     }
957 
958     ierr = VecScatterBegin(mumps->scat_sol,mumps->x_seq,x,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
959     ierr = VecScatterEnd(mumps->scat_sol,mumps->x_seq,x,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
960   }
961   PetscFunctionReturn(0);
962 }
963 
964 PetscErrorCode MatSolveTranspose_MUMPS(Mat A,Vec b,Vec x)
965 {
966   Mat_MUMPS      *mumps=(Mat_MUMPS*)A->data;
967   PetscErrorCode ierr;
968 
969   PetscFunctionBegin;
970   mumps->id.ICNTL(9) = 0;
971   ierr = MatSolve_MUMPS(A,b,x);CHKERRQ(ierr);
972   mumps->id.ICNTL(9) = 1;
973   PetscFunctionReturn(0);
974 }
975 
976 PetscErrorCode MatMatSolve_MUMPS(Mat A,Mat B,Mat X)
977 {
978   PetscErrorCode ierr;
979   PetscBool      flg;
980   Mat_MUMPS      *mumps=(Mat_MUMPS*)A->data;
981   PetscInt       i,nrhs,M;
982   PetscScalar    *array,*bray;
983 
984   PetscFunctionBegin;
985   ierr = PetscObjectTypeCompareAny((PetscObject)B,&flg,MATSEQDENSE,MATMPIDENSE,NULL);CHKERRQ(ierr);
986   if (!flg) SETERRQ(PetscObjectComm((PetscObject)B),PETSC_ERR_ARG_WRONG,"Matrix B must be MATDENSE matrix");
987   ierr = PetscObjectTypeCompareAny((PetscObject)X,&flg,MATSEQDENSE,MATMPIDENSE,NULL);CHKERRQ(ierr);
988   if (!flg) SETERRQ(PetscObjectComm((PetscObject)X),PETSC_ERR_ARG_WRONG,"Matrix X must be MATDENSE matrix");
989   if (B->rmap->n != X->rmap->n) SETERRQ(PetscObjectComm((PetscObject)B),PETSC_ERR_ARG_WRONG,"Matrix B and X must have same row distribution");
990 
991   ierr = MatGetSize(B,&M,&nrhs);CHKERRQ(ierr);
992   mumps->id.nrhs = nrhs;
993   mumps->id.lrhs = M;
994 
995   if (mumps->size == 1) {
996     PetscBool second_solve = PETSC_FALSE;
997     /* copy B to X */
998     ierr = MatDenseGetArray(B,&bray);CHKERRQ(ierr);
999     ierr = MatDenseGetArray(X,&array);CHKERRQ(ierr);
1000     ierr = PetscMemcpy(array,bray,M*nrhs*sizeof(PetscScalar));CHKERRQ(ierr);
1001     ierr = MatDenseRestoreArray(B,&bray);CHKERRQ(ierr);
1002     mumps->id.rhs = (MumpsScalar*)array;
1003 
1004     /* handle condensation step of Schur complement (if any) */
1005     if (mumps->id.ICNTL(26) < 0 || mumps->id.ICNTL(26) > 2) {
1006       second_solve = PETSC_TRUE;
1007       ierr = MatMumpsHandleSchur_Private(mumps,PETSC_FALSE);CHKERRQ(ierr);
1008     }
1009     /* solve phase */
1010     /*-------------*/
1011     mumps->id.job = JOB_SOLVE;
1012     PetscMUMPS_c(&mumps->id);
1013     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));
1014 
1015     /* handle expansion step of Schur complement (if any) */
1016     if (second_solve) {
1017       ierr = MatMumpsHandleSchur_Private(mumps,PETSC_TRUE);CHKERRQ(ierr);
1018     }
1019     ierr = MatDenseRestoreArray(X,&array);CHKERRQ(ierr);
1020   } else {  /*--------- parallel case --------*/
1021     PetscInt       lsol_loc,nlsol_loc,*isol_loc,*idx,*iidx,*idxx,*isol_loc_save;
1022     MumpsScalar    *sol_loc,*sol_loc_save;
1023     IS             is_to,is_from;
1024     PetscInt       k,proc,j,m;
1025     const PetscInt *rstart;
1026     Vec            v_mpi,b_seq,x_seq;
1027     VecScatter     scat_rhs,scat_sol;
1028 
1029     /* create x_seq to hold local solution */
1030     isol_loc_save = mumps->id.isol_loc; /* save it for MatSovle() */
1031     sol_loc_save  = mumps->id.sol_loc;
1032 
1033     lsol_loc  = mumps->id.INFO(23);
1034     nlsol_loc = nrhs*lsol_loc;     /* length of sol_loc */
1035     ierr = PetscMalloc2(nlsol_loc,&sol_loc,nlsol_loc,&isol_loc);CHKERRQ(ierr);
1036     mumps->id.sol_loc = (MumpsScalar*)sol_loc;
1037     mumps->id.isol_loc = isol_loc;
1038 
1039     ierr = VecCreateSeqWithArray(PETSC_COMM_SELF,1,nlsol_loc,(PetscScalar*)sol_loc,&x_seq);CHKERRQ(ierr);
1040 
1041     /* copy rhs matrix B into vector v_mpi */
1042     ierr = MatGetLocalSize(B,&m,NULL);CHKERRQ(ierr);
1043     ierr = MatDenseGetArray(B,&bray);CHKERRQ(ierr);
1044     ierr = VecCreateMPIWithArray(PetscObjectComm((PetscObject)B),1,nrhs*m,nrhs*M,(const PetscScalar*)bray,&v_mpi);CHKERRQ(ierr);
1045     ierr = MatDenseRestoreArray(B,&bray);CHKERRQ(ierr);
1046 
1047     /* scatter v_mpi to b_seq because MUMPS only supports centralized rhs */
1048     /* idx: maps from k-th index of v_mpi to (i,j)-th global entry of B;
1049       iidx: inverse of idx, will be used by scattering xx_seq -> X       */
1050     ierr = PetscMalloc2(nrhs*M,&idx,nrhs*M,&iidx);CHKERRQ(ierr);
1051     ierr = MatGetOwnershipRanges(B,&rstart);CHKERRQ(ierr);
1052     k = 0;
1053     for (proc=0; proc<mumps->size; proc++){
1054       for (j=0; j<nrhs; j++){
1055         for (i=rstart[proc]; i<rstart[proc+1]; i++){
1056           iidx[j*M + i] = k;
1057           idx[k++]      = j*M + i;
1058         }
1059       }
1060     }
1061 
1062     if (!mumps->myid) {
1063       ierr = VecCreateSeq(PETSC_COMM_SELF,nrhs*M,&b_seq);CHKERRQ(ierr);
1064       ierr = ISCreateGeneral(PETSC_COMM_SELF,nrhs*M,idx,PETSC_COPY_VALUES,&is_to);CHKERRQ(ierr);
1065       ierr = ISCreateStride(PETSC_COMM_SELF,nrhs*M,0,1,&is_from);CHKERRQ(ierr);
1066     } else {
1067       ierr = VecCreateSeq(PETSC_COMM_SELF,0,&b_seq);CHKERRQ(ierr);
1068       ierr = ISCreateStride(PETSC_COMM_SELF,0,0,1,&is_to);CHKERRQ(ierr);
1069       ierr = ISCreateStride(PETSC_COMM_SELF,0,0,1,&is_from);CHKERRQ(ierr);
1070     }
1071     ierr = VecScatterCreate(v_mpi,is_from,b_seq,is_to,&scat_rhs);CHKERRQ(ierr);
1072     ierr = VecScatterBegin(scat_rhs,v_mpi,b_seq,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1073     ierr = ISDestroy(&is_to);CHKERRQ(ierr);
1074     ierr = ISDestroy(&is_from);CHKERRQ(ierr);
1075     ierr = VecScatterEnd(scat_rhs,v_mpi,b_seq,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1076 
1077     if (!mumps->myid) { /* define rhs on the host */
1078       ierr = VecGetArray(b_seq,&bray);CHKERRQ(ierr);
1079       mumps->id.rhs = (MumpsScalar*)bray;
1080       ierr = VecRestoreArray(b_seq,&bray);CHKERRQ(ierr);
1081     }
1082 
1083     /* solve phase */
1084     /*-------------*/
1085     mumps->id.job = JOB_SOLVE;
1086     PetscMUMPS_c(&mumps->id);
1087     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));
1088 
1089     /* scatter mumps distributed solution to petsc vector v_mpi, which shares local arrays with solution matrix X */
1090     ierr = MatDenseGetArray(X,&array);CHKERRQ(ierr);
1091     ierr = VecPlaceArray(v_mpi,array);CHKERRQ(ierr);
1092 
1093     /* create scatter scat_sol */
1094     ierr = PetscMalloc1(nlsol_loc,&idxx);CHKERRQ(ierr);
1095     ierr = ISCreateStride(PETSC_COMM_SELF,nlsol_loc,0,1,&is_from);CHKERRQ(ierr);
1096     for (i=0; i<lsol_loc; i++) {
1097       isol_loc[i] -= 1; /* change Fortran style to C style */
1098       idxx[i] = iidx[isol_loc[i]];
1099       for (j=1; j<nrhs; j++){
1100         idxx[j*lsol_loc+i] = iidx[isol_loc[i]+j*M];
1101       }
1102     }
1103     ierr = ISCreateGeneral(PETSC_COMM_SELF,nlsol_loc,idxx,PETSC_COPY_VALUES,&is_to);CHKERRQ(ierr);
1104     ierr = VecScatterCreate(x_seq,is_from,v_mpi,is_to,&scat_sol);CHKERRQ(ierr);
1105     ierr = VecScatterBegin(scat_sol,x_seq,v_mpi,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1106     ierr = ISDestroy(&is_from);CHKERRQ(ierr);
1107     ierr = ISDestroy(&is_to);CHKERRQ(ierr);
1108     ierr = VecScatterEnd(scat_sol,x_seq,v_mpi,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1109     ierr = MatDenseRestoreArray(X,&array);CHKERRQ(ierr);
1110 
1111     /* free spaces */
1112     mumps->id.sol_loc = sol_loc_save;
1113     mumps->id.isol_loc = isol_loc_save;
1114 
1115     ierr = PetscFree2(sol_loc,isol_loc);CHKERRQ(ierr);
1116     ierr = PetscFree2(idx,iidx);CHKERRQ(ierr);
1117     ierr = PetscFree(idxx);CHKERRQ(ierr);
1118     ierr = VecDestroy(&x_seq);CHKERRQ(ierr);
1119     ierr = VecDestroy(&v_mpi);CHKERRQ(ierr);
1120     ierr = VecDestroy(&b_seq);CHKERRQ(ierr);
1121     ierr = VecScatterDestroy(&scat_rhs);CHKERRQ(ierr);
1122     ierr = VecScatterDestroy(&scat_sol);CHKERRQ(ierr);
1123   }
1124   PetscFunctionReturn(0);
1125 }
1126 
1127 #if !defined(PETSC_USE_COMPLEX)
1128 /*
1129   input:
1130    F:        numeric factor
1131   output:
1132    nneg:     total number of negative pivots
1133    nzero:    total number of zero pivots
1134    npos:     (global dimension of F) - nneg - nzero
1135 */
1136 PetscErrorCode MatGetInertia_SBAIJMUMPS(Mat F,int *nneg,int *nzero,int *npos)
1137 {
1138   Mat_MUMPS      *mumps =(Mat_MUMPS*)F->data;
1139   PetscErrorCode ierr;
1140   PetscMPIInt    size;
1141 
1142   PetscFunctionBegin;
1143   ierr = MPI_Comm_size(PetscObjectComm((PetscObject)F),&size);CHKERRQ(ierr);
1144   /* 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 */
1145   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));
1146 
1147   if (nneg) *nneg = mumps->id.INFOG(12);
1148   if (nzero || npos) {
1149     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");
1150     if (nzero) *nzero = mumps->id.INFOG(28);
1151     if (npos) *npos   = F->rmap->N - (mumps->id.INFOG(12) + mumps->id.INFOG(28));
1152   }
1153   PetscFunctionReturn(0);
1154 }
1155 #endif
1156 
1157 PetscErrorCode MatFactorNumeric_MUMPS(Mat F,Mat A,const MatFactorInfo *info)
1158 {
1159   Mat_MUMPS      *mumps =(Mat_MUMPS*)(F)->data;
1160   PetscErrorCode ierr;
1161   PetscBool      isMPIAIJ;
1162 
1163   PetscFunctionBegin;
1164   if (mumps->id.INFOG(1) < 0) {
1165     if (mumps->id.INFOG(1) == -6) {
1166       ierr = PetscInfo2(A,"MatFactorNumeric is called with singular matrix structure, INFOG(1)=%d, INFO(2)=%d\n",mumps->id.INFOG(1),mumps->id.INFO(2));CHKERRQ(ierr);
1167     }
1168     ierr = PetscInfo2(A,"MatFactorNumeric is called after analysis phase fails, INFOG(1)=%d, INFO(2)=%d\n",mumps->id.INFOG(1),mumps->id.INFO(2));CHKERRQ(ierr);
1169     PetscFunctionReturn(0);
1170   }
1171 
1172   ierr = (*mumps->ConvertToTriples)(A, 1, MAT_REUSE_MATRIX, &mumps->nz, &mumps->irn, &mumps->jcn, &mumps->val);CHKERRQ(ierr);
1173 
1174   /* numerical factorization phase */
1175   /*-------------------------------*/
1176   mumps->id.job = JOB_FACTNUMERIC;
1177   if (!mumps->id.ICNTL(18)) { /* A is centralized */
1178     if (!mumps->myid) {
1179       mumps->id.a = (MumpsScalar*)mumps->val;
1180     }
1181   } else {
1182     mumps->id.a_loc = (MumpsScalar*)mumps->val;
1183   }
1184   PetscMUMPS_c(&mumps->id);
1185   if (mumps->id.INFOG(1) < 0) {
1186     if (A->erroriffailure) {
1187       SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error reported by MUMPS in numerical factorization phase: INFOG(1)=%d, INFO(2)=%d\n",mumps->id.INFOG(1),mumps->id.INFO(2));
1188     } else {
1189       if (mumps->id.INFOG(1) == -10) { /* numerically singular matrix */
1190         ierr = PetscInfo2(F,"matrix is numerically singular, INFOG(1)=%d, INFO(2)=%d\n",mumps->id.INFOG(1),mumps->id.INFO(2));CHKERRQ(ierr);
1191         F->factorerrortype = MAT_FACTOR_NUMERIC_ZEROPIVOT;
1192       } else if (mumps->id.INFOG(1) == -13) {
1193         ierr = PetscInfo2(F,"MUMPS in numerical factorization phase: INFOG(1)=%d, cannot allocate required memory %d megabytes\n",mumps->id.INFOG(1),mumps->id.INFO(2));CHKERRQ(ierr);
1194         F->factorerrortype = MAT_FACTOR_OUTMEMORY;
1195       } else if (mumps->id.INFOG(1) == -8 || mumps->id.INFOG(1) == -9 || (-16 < mumps->id.INFOG(1) && mumps->id.INFOG(1) < -10) ) {
1196         ierr = PetscInfo2(F,"MUMPS in numerical factorization phase: INFOG(1)=%d, INFO(2)=%d, problem with workarray \n",mumps->id.INFOG(1),mumps->id.INFO(2));CHKERRQ(ierr);
1197         F->factorerrortype = MAT_FACTOR_OUTMEMORY;
1198       } else {
1199         ierr = PetscInfo2(F,"MUMPS in numerical factorization phase: INFOG(1)=%d, INFO(2)=%d\n",mumps->id.INFOG(1),mumps->id.INFO(2));CHKERRQ(ierr);
1200         F->factorerrortype = MAT_FACTOR_OTHER;
1201       }
1202     }
1203   }
1204   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));
1205 
1206   (F)->assembled        = PETSC_TRUE;
1207   mumps->matstruc       = SAME_NONZERO_PATTERN;
1208   mumps->schur_factored = PETSC_FALSE;
1209   mumps->schur_inverted = PETSC_FALSE;
1210 
1211   /* just to be sure that ICNTL(19) value returned by a call from MatMumpsGetIcntl is always consistent */
1212   if (!mumps->sym && mumps->id.ICNTL(19) && mumps->id.ICNTL(19) != 1) mumps->id.ICNTL(19) = 3;
1213 
1214   if (mumps->size > 1) {
1215     PetscInt    lsol_loc;
1216     PetscScalar *sol_loc;
1217 
1218     ierr = PetscObjectTypeCompare((PetscObject)A,MATMPIAIJ,&isMPIAIJ);CHKERRQ(ierr);
1219 
1220     /* distributed solution; Create x_seq=sol_loc for repeated use */
1221     if (mumps->x_seq) {
1222       ierr = VecScatterDestroy(&mumps->scat_sol);CHKERRQ(ierr);
1223       ierr = PetscFree2(mumps->id.sol_loc,mumps->id.isol_loc);CHKERRQ(ierr);
1224       ierr = VecDestroy(&mumps->x_seq);CHKERRQ(ierr);
1225     }
1226     lsol_loc = mumps->id.INFO(23); /* length of sol_loc */
1227     ierr = PetscMalloc2(lsol_loc,&sol_loc,lsol_loc,&mumps->id.isol_loc);CHKERRQ(ierr);
1228     mumps->id.lsol_loc = lsol_loc;
1229     mumps->id.sol_loc = (MumpsScalar*)sol_loc;
1230     ierr = VecCreateSeqWithArray(PETSC_COMM_SELF,1,lsol_loc,sol_loc,&mumps->x_seq);CHKERRQ(ierr);
1231   }
1232   PetscFunctionReturn(0);
1233 }
1234 
1235 /* Sets MUMPS options from the options database */
1236 PetscErrorCode PetscSetMUMPSFromOptions(Mat F, Mat A)
1237 {
1238   Mat_MUMPS      *mumps = (Mat_MUMPS*)F->data;
1239   PetscErrorCode ierr;
1240   PetscInt       icntl,info[40],i,ninfo=40;
1241   PetscBool      flg;
1242 
1243   PetscFunctionBegin;
1244   ierr = PetscOptionsBegin(PetscObjectComm((PetscObject)A),((PetscObject)A)->prefix,"MUMPS Options","Mat");CHKERRQ(ierr);
1245   ierr = PetscOptionsInt("-mat_mumps_icntl_1","ICNTL(1): output stream for error messages","None",mumps->id.ICNTL(1),&icntl,&flg);CHKERRQ(ierr);
1246   if (flg) mumps->id.ICNTL(1) = icntl;
1247   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);
1248   if (flg) mumps->id.ICNTL(2) = icntl;
1249   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);
1250   if (flg) mumps->id.ICNTL(3) = icntl;
1251 
1252   ierr = PetscOptionsInt("-mat_mumps_icntl_4","ICNTL(4): level of printing (0 to 4)","None",mumps->id.ICNTL(4),&icntl,&flg);CHKERRQ(ierr);
1253   if (flg) mumps->id.ICNTL(4) = icntl;
1254   if (mumps->id.ICNTL(4) || PetscLogPrintInfo) mumps->id.ICNTL(3) = 6; /* resume MUMPS default id.ICNTL(3) = 6 */
1255 
1256   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);
1257   if (flg) mumps->id.ICNTL(6) = icntl;
1258 
1259   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);
1260   if (flg) {
1261     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");
1262     else mumps->id.ICNTL(7) = icntl;
1263   }
1264 
1265   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);
1266   /* 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() */
1267   ierr = PetscOptionsInt("-mat_mumps_icntl_10","ICNTL(10): max num of refinements","None",mumps->id.ICNTL(10),&mumps->id.ICNTL(10),NULL);CHKERRQ(ierr);
1268   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);
1269   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);
1270   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);
1271   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);
1272   ierr = PetscOptionsInt("-mat_mumps_icntl_19","ICNTL(19): computes the Schur complement","None",mumps->id.ICNTL(19),&mumps->id.ICNTL(19),NULL);CHKERRQ(ierr);
1273   if (mumps->id.ICNTL(19) <= 0 || mumps->id.ICNTL(19) > 3) { /* reset any schur data (if any) */
1274     ierr = MatMumpsResetSchur_Private(mumps);CHKERRQ(ierr);
1275   }
1276   /* 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 */
1277   /* 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 */
1278 
1279   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);
1280   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);
1281   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);
1282   if (mumps->id.ICNTL(24)) {
1283     mumps->id.ICNTL(13) = 1; /* turn-off ScaLAPACK to help with the correct detection of null pivots */
1284   }
1285 
1286   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);
1287   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);
1288   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);
1289   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);
1290   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);
1291   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);
1292   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);
1293   /* 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 */
1294   ierr = PetscOptionsInt("-mat_mumps_icntl_33","ICNTL(33): compute determinant","None",mumps->id.ICNTL(33),&mumps->id.ICNTL(33),NULL);CHKERRQ(ierr);
1295 
1296   ierr = PetscOptionsReal("-mat_mumps_cntl_1","CNTL(1): relative pivoting threshold","None",mumps->id.CNTL(1),&mumps->id.CNTL(1),NULL);CHKERRQ(ierr);
1297   ierr = PetscOptionsReal("-mat_mumps_cntl_2","CNTL(2): stopping criterion of refinement","None",mumps->id.CNTL(2),&mumps->id.CNTL(2),NULL);CHKERRQ(ierr);
1298   ierr = PetscOptionsReal("-mat_mumps_cntl_3","CNTL(3): absolute pivoting threshold","None",mumps->id.CNTL(3),&mumps->id.CNTL(3),NULL);CHKERRQ(ierr);
1299   ierr = PetscOptionsReal("-mat_mumps_cntl_4","CNTL(4): value for static pivoting","None",mumps->id.CNTL(4),&mumps->id.CNTL(4),NULL);CHKERRQ(ierr);
1300   ierr = PetscOptionsReal("-mat_mumps_cntl_5","CNTL(5): fixation for null pivots","None",mumps->id.CNTL(5),&mumps->id.CNTL(5),NULL);CHKERRQ(ierr);
1301 
1302   ierr = PetscOptionsString("-mat_mumps_ooc_tmpdir", "out of core directory", "None", mumps->id.ooc_tmpdir, mumps->id.ooc_tmpdir, 256, NULL);CHKERRQ(ierr);
1303 
1304   ierr = PetscOptionsIntArray("-mat_mumps_view_info","request INFO local to each processor","",info,&ninfo,NULL);CHKERRQ(ierr);
1305   if (ninfo) {
1306     if (ninfo > 40) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_USER,"number of INFO %d must <= 40\n",ninfo);
1307     ierr = PetscMalloc1(ninfo,&mumps->info);CHKERRQ(ierr);
1308     mumps->ninfo = ninfo;
1309     for (i=0; i<ninfo; i++) {
1310       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);
1311       else  mumps->info[i] = info[i];
1312     }
1313   }
1314 
1315   ierr = PetscOptionsEnd();CHKERRQ(ierr);
1316   PetscFunctionReturn(0);
1317 }
1318 
1319 PetscErrorCode PetscInitializeMUMPS(Mat A,Mat_MUMPS *mumps)
1320 {
1321   PetscErrorCode ierr;
1322 
1323   PetscFunctionBegin;
1324   ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)A), &mumps->myid);CHKERRQ(ierr);
1325   ierr = MPI_Comm_size(PetscObjectComm((PetscObject)A),&mumps->size);CHKERRQ(ierr);
1326   ierr = MPI_Comm_dup(PetscObjectComm((PetscObject)A),&(mumps->comm_mumps));CHKERRQ(ierr);
1327 
1328   mumps->id.comm_fortran = MPI_Comm_c2f(mumps->comm_mumps);
1329 
1330   mumps->id.job = JOB_INIT;
1331   mumps->id.par = 1;  /* host participates factorizaton and solve */
1332   mumps->id.sym = mumps->sym;
1333   PetscMUMPS_c(&mumps->id);
1334 
1335   mumps->scat_rhs     = NULL;
1336   mumps->scat_sol     = NULL;
1337 
1338   /* set PETSc-MUMPS default options - override MUMPS default */
1339   mumps->id.ICNTL(3) = 0;
1340   mumps->id.ICNTL(4) = 0;
1341   if (mumps->size == 1) {
1342     mumps->id.ICNTL(18) = 0;   /* centralized assembled matrix input */
1343   } else {
1344     mumps->id.ICNTL(18) = 3;   /* distributed assembled matrix input */
1345     mumps->id.ICNTL(20) = 0;   /* rhs is in dense format */
1346     mumps->id.ICNTL(21) = 1;   /* distributed solution */
1347   }
1348 
1349   /* schur */
1350   mumps->id.size_schur      = 0;
1351   mumps->id.listvar_schur   = NULL;
1352   mumps->id.schur           = NULL;
1353   mumps->sizeredrhs         = 0;
1354   mumps->schur_pivots       = NULL;
1355   mumps->schur_work         = NULL;
1356   mumps->schur_sol          = NULL;
1357   mumps->schur_sizesol      = 0;
1358   mumps->schur_factored     = PETSC_FALSE;
1359   mumps->schur_inverted     = PETSC_FALSE;
1360   mumps->schur_sym          = mumps->id.sym;
1361   PetscFunctionReturn(0);
1362 }
1363 
1364 PetscErrorCode MatFactorSymbolic_MUMPS_ReportIfError(Mat F,Mat A,const MatFactorInfo *info,Mat_MUMPS *mumps)
1365 {
1366   PetscErrorCode ierr;
1367 
1368   PetscFunctionBegin;
1369   if (mumps->id.INFOG(1) < 0) {
1370     if (A->erroriffailure) {
1371       SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error reported by MUMPS in analysis phase: INFOG(1)=%d\n",mumps->id.INFOG(1));
1372     } else {
1373       if (mumps->id.INFOG(1) == -6) {
1374         ierr = PetscInfo2(F,"matrix is singular in structure, INFOG(1)=%d, INFO(2)=%d\n",mumps->id.INFOG(1),mumps->id.INFO(2));CHKERRQ(ierr);
1375         F->factorerrortype = MAT_FACTOR_STRUCT_ZEROPIVOT;
1376       } else if (mumps->id.INFOG(1) == -5 || mumps->id.INFOG(1) == -7) {
1377         ierr = PetscInfo2(F,"problem of workspace, INFOG(1)=%d, INFO(2)=%d\n",mumps->id.INFOG(1),mumps->id.INFO(2));CHKERRQ(ierr);
1378         F->factorerrortype = MAT_FACTOR_OUTMEMORY;
1379       } else {
1380         ierr = PetscInfo2(F,"Error reported by MUMPS in analysis phase: INFOG(1)=%d, INFO(2)=%d\n",mumps->id.INFOG(1),mumps->id.INFO(2));CHKERRQ(ierr);
1381         F->factorerrortype = MAT_FACTOR_OTHER;
1382       }
1383     }
1384   }
1385   PetscFunctionReturn(0);
1386 }
1387 
1388 /* Note Petsc r(=c) permutation is used when mumps->id.ICNTL(7)==1 with centralized assembled matrix input; otherwise r and c are ignored */
1389 PetscErrorCode MatLUFactorSymbolic_AIJMUMPS(Mat F,Mat A,IS r,IS c,const MatFactorInfo *info)
1390 {
1391   Mat_MUMPS      *mumps = (Mat_MUMPS*)F->data;
1392   PetscErrorCode ierr;
1393   Vec            b;
1394   IS             is_iden;
1395   const PetscInt M = A->rmap->N;
1396 
1397   PetscFunctionBegin;
1398   mumps->matstruc = DIFFERENT_NONZERO_PATTERN;
1399 
1400   /* Set MUMPS options from the options database */
1401   ierr = PetscSetMUMPSFromOptions(F,A);CHKERRQ(ierr);
1402 
1403   ierr = (*mumps->ConvertToTriples)(A, 1, MAT_INITIAL_MATRIX, &mumps->nz, &mumps->irn, &mumps->jcn, &mumps->val);CHKERRQ(ierr);
1404 
1405   /* analysis phase */
1406   /*----------------*/
1407   mumps->id.job = JOB_FACTSYMBOLIC;
1408   mumps->id.n   = M;
1409   switch (mumps->id.ICNTL(18)) {
1410   case 0:  /* centralized assembled matrix input */
1411     if (!mumps->myid) {
1412       mumps->id.nz =mumps->nz; mumps->id.irn=mumps->irn; mumps->id.jcn=mumps->jcn;
1413       if (mumps->id.ICNTL(6)>1) {
1414         mumps->id.a = (MumpsScalar*)mumps->val;
1415       }
1416       if (mumps->id.ICNTL(7) == 1) { /* use user-provide matrix ordering - assuming r = c ordering */
1417         /*
1418         PetscBool      flag;
1419         ierr = ISEqual(r,c,&flag);CHKERRQ(ierr);
1420         if (!flag) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_USER,"row_perm != col_perm");
1421         ierr = ISView(r,PETSC_VIEWER_STDOUT_SELF);
1422          */
1423         if (!mumps->myid) {
1424           const PetscInt *idx;
1425           PetscInt       i,*perm_in;
1426 
1427           ierr = PetscMalloc1(M,&perm_in);CHKERRQ(ierr);
1428           ierr = ISGetIndices(r,&idx);CHKERRQ(ierr);
1429 
1430           mumps->id.perm_in = perm_in;
1431           for (i=0; i<M; i++) perm_in[i] = idx[i]+1; /* perm_in[]: start from 1, not 0! */
1432           ierr = ISRestoreIndices(r,&idx);CHKERRQ(ierr);
1433         }
1434       }
1435     }
1436     break;
1437   case 3:  /* distributed assembled matrix input (size>1) */
1438     mumps->id.nz_loc = mumps->nz;
1439     mumps->id.irn_loc=mumps->irn; mumps->id.jcn_loc=mumps->jcn;
1440     if (mumps->id.ICNTL(6)>1) {
1441       mumps->id.a_loc = (MumpsScalar*)mumps->val;
1442     }
1443     /* MUMPS only supports centralized rhs. Create scatter scat_rhs for repeated use in MatSolve() */
1444     if (!mumps->myid) {
1445       ierr = VecCreateSeq(PETSC_COMM_SELF,A->rmap->N,&mumps->b_seq);CHKERRQ(ierr);
1446       ierr = ISCreateStride(PETSC_COMM_SELF,A->rmap->N,0,1,&is_iden);CHKERRQ(ierr);
1447     } else {
1448       ierr = VecCreateSeq(PETSC_COMM_SELF,0,&mumps->b_seq);CHKERRQ(ierr);
1449       ierr = ISCreateStride(PETSC_COMM_SELF,0,0,1,&is_iden);CHKERRQ(ierr);
1450     }
1451     ierr = MatCreateVecs(A,NULL,&b);CHKERRQ(ierr);
1452     ierr = VecScatterCreate(b,is_iden,mumps->b_seq,is_iden,&mumps->scat_rhs);CHKERRQ(ierr);
1453     ierr = ISDestroy(&is_iden);CHKERRQ(ierr);
1454     ierr = VecDestroy(&b);CHKERRQ(ierr);
1455     break;
1456   }
1457   PetscMUMPS_c(&mumps->id);
1458   ierr = MatFactorSymbolic_MUMPS_ReportIfError(F,A,info,mumps);CHKERRQ(ierr);
1459 
1460   F->ops->lufactornumeric = MatFactorNumeric_MUMPS;
1461   F->ops->solve           = MatSolve_MUMPS;
1462   F->ops->solvetranspose  = MatSolveTranspose_MUMPS;
1463   F->ops->matsolve        = MatMatSolve_MUMPS;
1464   PetscFunctionReturn(0);
1465 }
1466 
1467 /* Note the Petsc r and c permutations are ignored */
1468 PetscErrorCode MatLUFactorSymbolic_BAIJMUMPS(Mat F,Mat A,IS r,IS c,const MatFactorInfo *info)
1469 {
1470   Mat_MUMPS      *mumps = (Mat_MUMPS*)F->data;
1471   PetscErrorCode ierr;
1472   Vec            b;
1473   IS             is_iden;
1474   const PetscInt M = A->rmap->N;
1475 
1476   PetscFunctionBegin;
1477   mumps->matstruc = DIFFERENT_NONZERO_PATTERN;
1478 
1479   /* Set MUMPS options from the options database */
1480   ierr = PetscSetMUMPSFromOptions(F,A);CHKERRQ(ierr);
1481 
1482   ierr = (*mumps->ConvertToTriples)(A, 1, MAT_INITIAL_MATRIX, &mumps->nz, &mumps->irn, &mumps->jcn, &mumps->val);CHKERRQ(ierr);
1483 
1484   /* analysis phase */
1485   /*----------------*/
1486   mumps->id.job = JOB_FACTSYMBOLIC;
1487   mumps->id.n   = M;
1488   switch (mumps->id.ICNTL(18)) {
1489   case 0:  /* centralized assembled matrix input */
1490     if (!mumps->myid) {
1491       mumps->id.nz =mumps->nz; mumps->id.irn=mumps->irn; mumps->id.jcn=mumps->jcn;
1492       if (mumps->id.ICNTL(6)>1) {
1493         mumps->id.a = (MumpsScalar*)mumps->val;
1494       }
1495     }
1496     break;
1497   case 3:  /* distributed assembled matrix input (size>1) */
1498     mumps->id.nz_loc = mumps->nz;
1499     mumps->id.irn_loc=mumps->irn; mumps->id.jcn_loc=mumps->jcn;
1500     if (mumps->id.ICNTL(6)>1) {
1501       mumps->id.a_loc = (MumpsScalar*)mumps->val;
1502     }
1503     /* MUMPS only supports centralized rhs. Create scatter scat_rhs for repeated use in MatSolve() */
1504     if (!mumps->myid) {
1505       ierr = VecCreateSeq(PETSC_COMM_SELF,A->cmap->N,&mumps->b_seq);CHKERRQ(ierr);
1506       ierr = ISCreateStride(PETSC_COMM_SELF,A->cmap->N,0,1,&is_iden);CHKERRQ(ierr);
1507     } else {
1508       ierr = VecCreateSeq(PETSC_COMM_SELF,0,&mumps->b_seq);CHKERRQ(ierr);
1509       ierr = ISCreateStride(PETSC_COMM_SELF,0,0,1,&is_iden);CHKERRQ(ierr);
1510     }
1511     ierr = MatCreateVecs(A,NULL,&b);CHKERRQ(ierr);
1512     ierr = VecScatterCreate(b,is_iden,mumps->b_seq,is_iden,&mumps->scat_rhs);CHKERRQ(ierr);
1513     ierr = ISDestroy(&is_iden);CHKERRQ(ierr);
1514     ierr = VecDestroy(&b);CHKERRQ(ierr);
1515     break;
1516   }
1517   PetscMUMPS_c(&mumps->id);
1518   ierr = MatFactorSymbolic_MUMPS_ReportIfError(F,A,info,mumps);CHKERRQ(ierr);
1519 
1520   F->ops->lufactornumeric = MatFactorNumeric_MUMPS;
1521   F->ops->solve           = MatSolve_MUMPS;
1522   F->ops->solvetranspose  = MatSolveTranspose_MUMPS;
1523   PetscFunctionReturn(0);
1524 }
1525 
1526 /* Note the Petsc r permutation and factor info are ignored */
1527 PetscErrorCode MatCholeskyFactorSymbolic_MUMPS(Mat F,Mat A,IS r,const MatFactorInfo *info)
1528 {
1529   Mat_MUMPS      *mumps = (Mat_MUMPS*)F->data;
1530   PetscErrorCode ierr;
1531   Vec            b;
1532   IS             is_iden;
1533   const PetscInt M = A->rmap->N;
1534 
1535   PetscFunctionBegin;
1536   mumps->matstruc = DIFFERENT_NONZERO_PATTERN;
1537 
1538   /* Set MUMPS options from the options database */
1539   ierr = PetscSetMUMPSFromOptions(F,A);CHKERRQ(ierr);
1540 
1541   ierr = (*mumps->ConvertToTriples)(A, 1, MAT_INITIAL_MATRIX, &mumps->nz, &mumps->irn, &mumps->jcn, &mumps->val);CHKERRQ(ierr);
1542 
1543   /* analysis phase */
1544   /*----------------*/
1545   mumps->id.job = JOB_FACTSYMBOLIC;
1546   mumps->id.n   = M;
1547   switch (mumps->id.ICNTL(18)) {
1548   case 0:  /* centralized assembled matrix input */
1549     if (!mumps->myid) {
1550       mumps->id.nz =mumps->nz; mumps->id.irn=mumps->irn; mumps->id.jcn=mumps->jcn;
1551       if (mumps->id.ICNTL(6)>1) {
1552         mumps->id.a = (MumpsScalar*)mumps->val;
1553       }
1554     }
1555     break;
1556   case 3:  /* distributed assembled matrix input (size>1) */
1557     mumps->id.nz_loc = mumps->nz;
1558     mumps->id.irn_loc=mumps->irn; mumps->id.jcn_loc=mumps->jcn;
1559     if (mumps->id.ICNTL(6)>1) {
1560       mumps->id.a_loc = (MumpsScalar*)mumps->val;
1561     }
1562     /* MUMPS only supports centralized rhs. Create scatter scat_rhs for repeated use in MatSolve() */
1563     if (!mumps->myid) {
1564       ierr = VecCreateSeq(PETSC_COMM_SELF,A->cmap->N,&mumps->b_seq);CHKERRQ(ierr);
1565       ierr = ISCreateStride(PETSC_COMM_SELF,A->cmap->N,0,1,&is_iden);CHKERRQ(ierr);
1566     } else {
1567       ierr = VecCreateSeq(PETSC_COMM_SELF,0,&mumps->b_seq);CHKERRQ(ierr);
1568       ierr = ISCreateStride(PETSC_COMM_SELF,0,0,1,&is_iden);CHKERRQ(ierr);
1569     }
1570     ierr = MatCreateVecs(A,NULL,&b);CHKERRQ(ierr);
1571     ierr = VecScatterCreate(b,is_iden,mumps->b_seq,is_iden,&mumps->scat_rhs);CHKERRQ(ierr);
1572     ierr = ISDestroy(&is_iden);CHKERRQ(ierr);
1573     ierr = VecDestroy(&b);CHKERRQ(ierr);
1574     break;
1575   }
1576   PetscMUMPS_c(&mumps->id);
1577   ierr = MatFactorSymbolic_MUMPS_ReportIfError(F,A,info,mumps);CHKERRQ(ierr);
1578 
1579   F->ops->choleskyfactornumeric = MatFactorNumeric_MUMPS;
1580   F->ops->solve                 = MatSolve_MUMPS;
1581   F->ops->solvetranspose        = MatSolve_MUMPS;
1582   F->ops->matsolve              = MatMatSolve_MUMPS;
1583 #if defined(PETSC_USE_COMPLEX)
1584   F->ops->getinertia = NULL;
1585 #else
1586   F->ops->getinertia = MatGetInertia_SBAIJMUMPS;
1587 #endif
1588   PetscFunctionReturn(0);
1589 }
1590 
1591 PetscErrorCode MatView_MUMPS(Mat A,PetscViewer viewer)
1592 {
1593   PetscErrorCode    ierr;
1594   PetscBool         iascii;
1595   PetscViewerFormat format;
1596   Mat_MUMPS         *mumps=(Mat_MUMPS*)A->data;
1597 
1598   PetscFunctionBegin;
1599   /* check if matrix is mumps type */
1600   if (A->ops->solve != MatSolve_MUMPS) PetscFunctionReturn(0);
1601 
1602   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&iascii);CHKERRQ(ierr);
1603   if (iascii) {
1604     ierr = PetscViewerGetFormat(viewer,&format);CHKERRQ(ierr);
1605     if (format == PETSC_VIEWER_ASCII_INFO) {
1606       ierr = PetscViewerASCIIPrintf(viewer,"MUMPS run parameters:\n");CHKERRQ(ierr);
1607       ierr = PetscViewerASCIIPrintf(viewer,"  SYM (matrix type):                   %d \n",mumps->id.sym);CHKERRQ(ierr);
1608       ierr = PetscViewerASCIIPrintf(viewer,"  PAR (host participation):            %d \n",mumps->id.par);CHKERRQ(ierr);
1609       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(1) (output for error):         %d \n",mumps->id.ICNTL(1));CHKERRQ(ierr);
1610       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(2) (output of diagnostic msg): %d \n",mumps->id.ICNTL(2));CHKERRQ(ierr);
1611       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(3) (output for global info):   %d \n",mumps->id.ICNTL(3));CHKERRQ(ierr);
1612       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(4) (level of printing):        %d \n",mumps->id.ICNTL(4));CHKERRQ(ierr);
1613       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(5) (input mat struct):         %d \n",mumps->id.ICNTL(5));CHKERRQ(ierr);
1614       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(6) (matrix prescaling):        %d \n",mumps->id.ICNTL(6));CHKERRQ(ierr);
1615       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(7) (sequentia matrix ordering):%d \n",mumps->id.ICNTL(7));CHKERRQ(ierr);
1616       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(8) (scalling strategy):        %d \n",mumps->id.ICNTL(8));CHKERRQ(ierr);
1617       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(10) (max num of refinements):  %d \n",mumps->id.ICNTL(10));CHKERRQ(ierr);
1618       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(11) (error analysis):          %d \n",mumps->id.ICNTL(11));CHKERRQ(ierr);
1619       if (mumps->id.ICNTL(11)>0) {
1620         ierr = PetscViewerASCIIPrintf(viewer,"    RINFOG(4) (inf norm of input mat):        %g\n",mumps->id.RINFOG(4));CHKERRQ(ierr);
1621         ierr = PetscViewerASCIIPrintf(viewer,"    RINFOG(5) (inf norm of solution):         %g\n",mumps->id.RINFOG(5));CHKERRQ(ierr);
1622         ierr = PetscViewerASCIIPrintf(viewer,"    RINFOG(6) (inf norm of residual):         %g\n",mumps->id.RINFOG(6));CHKERRQ(ierr);
1623         ierr = PetscViewerASCIIPrintf(viewer,"    RINFOG(7),RINFOG(8) (backward error est): %g, %g\n",mumps->id.RINFOG(7),mumps->id.RINFOG(8));CHKERRQ(ierr);
1624         ierr = PetscViewerASCIIPrintf(viewer,"    RINFOG(9) (error estimate):               %g \n",mumps->id.RINFOG(9));CHKERRQ(ierr);
1625         ierr = PetscViewerASCIIPrintf(viewer,"    RINFOG(10),RINFOG(11)(condition numbers): %g, %g\n",mumps->id.RINFOG(10),mumps->id.RINFOG(11));CHKERRQ(ierr);
1626       }
1627       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(12) (efficiency control):                         %d \n",mumps->id.ICNTL(12));CHKERRQ(ierr);
1628       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(13) (efficiency control):                         %d \n",mumps->id.ICNTL(13));CHKERRQ(ierr);
1629       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(14) (percentage of estimated workspace increase): %d \n",mumps->id.ICNTL(14));CHKERRQ(ierr);
1630       /* ICNTL(15-17) not used */
1631       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(18) (input mat struct):                           %d \n",mumps->id.ICNTL(18));CHKERRQ(ierr);
1632       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(19) (Shur complement info):                       %d \n",mumps->id.ICNTL(19));CHKERRQ(ierr);
1633       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(20) (rhs sparse pattern):                         %d \n",mumps->id.ICNTL(20));CHKERRQ(ierr);
1634       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(21) (solution struct):                            %d \n",mumps->id.ICNTL(21));CHKERRQ(ierr);
1635       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(22) (in-core/out-of-core facility):               %d \n",mumps->id.ICNTL(22));CHKERRQ(ierr);
1636       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(23) (max size of memory can be allocated locally):%d \n",mumps->id.ICNTL(23));CHKERRQ(ierr);
1637 
1638       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(24) (detection of null pivot rows):               %d \n",mumps->id.ICNTL(24));CHKERRQ(ierr);
1639       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(25) (computation of a null space basis):          %d \n",mumps->id.ICNTL(25));CHKERRQ(ierr);
1640       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(26) (Schur options for rhs or solution):          %d \n",mumps->id.ICNTL(26));CHKERRQ(ierr);
1641       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(27) (experimental parameter):                     %d \n",mumps->id.ICNTL(27));CHKERRQ(ierr);
1642       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(28) (use parallel or sequential ordering):        %d \n",mumps->id.ICNTL(28));CHKERRQ(ierr);
1643       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(29) (parallel ordering):                          %d \n",mumps->id.ICNTL(29));CHKERRQ(ierr);
1644 
1645       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(30) (user-specified set of entries in inv(A)):    %d \n",mumps->id.ICNTL(30));CHKERRQ(ierr);
1646       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(31) (factors is discarded in the solve phase):    %d \n",mumps->id.ICNTL(31));CHKERRQ(ierr);
1647       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(33) (compute determinant):                        %d \n",mumps->id.ICNTL(33));CHKERRQ(ierr);
1648 
1649       ierr = PetscViewerASCIIPrintf(viewer,"  CNTL(1) (relative pivoting threshold):      %g \n",mumps->id.CNTL(1));CHKERRQ(ierr);
1650       ierr = PetscViewerASCIIPrintf(viewer,"  CNTL(2) (stopping criterion of refinement): %g \n",mumps->id.CNTL(2));CHKERRQ(ierr);
1651       ierr = PetscViewerASCIIPrintf(viewer,"  CNTL(3) (absolute pivoting threshold):      %g \n",mumps->id.CNTL(3));CHKERRQ(ierr);
1652       ierr = PetscViewerASCIIPrintf(viewer,"  CNTL(4) (value of static pivoting):         %g \n",mumps->id.CNTL(4));CHKERRQ(ierr);
1653       ierr = PetscViewerASCIIPrintf(viewer,"  CNTL(5) (fixation for null pivots):         %g \n",mumps->id.CNTL(5));CHKERRQ(ierr);
1654 
1655       /* infomation local to each processor */
1656       ierr = PetscViewerASCIIPrintf(viewer, "  RINFO(1) (local estimated flops for the elimination after analysis): \n");CHKERRQ(ierr);
1657       ierr = PetscViewerASCIIPushSynchronized(viewer);CHKERRQ(ierr);
1658       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"    [%d] %g \n",mumps->myid,mumps->id.RINFO(1));CHKERRQ(ierr);
1659       ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
1660       ierr = PetscViewerASCIIPrintf(viewer, "  RINFO(2) (local estimated flops for the assembly after factorization): \n");CHKERRQ(ierr);
1661       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"    [%d]  %g \n",mumps->myid,mumps->id.RINFO(2));CHKERRQ(ierr);
1662       ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
1663       ierr = PetscViewerASCIIPrintf(viewer, "  RINFO(3) (local estimated flops for the elimination after factorization): \n");CHKERRQ(ierr);
1664       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"    [%d]  %g \n",mumps->myid,mumps->id.RINFO(3));CHKERRQ(ierr);
1665       ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
1666 
1667       ierr = PetscViewerASCIIPrintf(viewer, "  INFO(15) (estimated size of (in MB) MUMPS internal data for running numerical factorization): \n");CHKERRQ(ierr);
1668       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"  [%d] %d \n",mumps->myid,mumps->id.INFO(15));CHKERRQ(ierr);
1669       ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
1670 
1671       ierr = PetscViewerASCIIPrintf(viewer, "  INFO(16) (size of (in MB) MUMPS internal data used during numerical factorization): \n");CHKERRQ(ierr);
1672       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"    [%d] %d \n",mumps->myid,mumps->id.INFO(16));CHKERRQ(ierr);
1673       ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
1674 
1675       ierr = PetscViewerASCIIPrintf(viewer, "  INFO(23) (num of pivots eliminated on this processor after factorization): \n");CHKERRQ(ierr);
1676       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"    [%d] %d \n",mumps->myid,mumps->id.INFO(23));CHKERRQ(ierr);
1677       ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
1678 
1679       if (mumps->ninfo && mumps->ninfo <= 40){
1680         PetscInt i;
1681         for (i=0; i<mumps->ninfo; i++){
1682           ierr = PetscViewerASCIIPrintf(viewer, "  INFO(%d): \n",mumps->info[i]);CHKERRQ(ierr);
1683           ierr = PetscViewerASCIISynchronizedPrintf(viewer,"    [%d] %d \n",mumps->myid,mumps->id.INFO(mumps->info[i]));CHKERRQ(ierr);
1684           ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
1685         }
1686       }
1687 
1688 
1689       ierr = PetscViewerASCIIPopSynchronized(viewer);CHKERRQ(ierr);
1690 
1691       if (!mumps->myid) { /* information from the host */
1692         ierr = PetscViewerASCIIPrintf(viewer,"  RINFOG(1) (global estimated flops for the elimination after analysis): %g \n",mumps->id.RINFOG(1));CHKERRQ(ierr);
1693         ierr = PetscViewerASCIIPrintf(viewer,"  RINFOG(2) (global estimated flops for the assembly after factorization): %g \n",mumps->id.RINFOG(2));CHKERRQ(ierr);
1694         ierr = PetscViewerASCIIPrintf(viewer,"  RINFOG(3) (global estimated flops for the elimination after factorization): %g \n",mumps->id.RINFOG(3));CHKERRQ(ierr);
1695         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);
1696 
1697         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(3) (estimated real workspace for factors on all processors after analysis): %d \n",mumps->id.INFOG(3));CHKERRQ(ierr);
1698         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(4) (estimated integer workspace for factors on all processors after analysis): %d \n",mumps->id.INFOG(4));CHKERRQ(ierr);
1699         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(5) (estimated maximum front size in the complete tree): %d \n",mumps->id.INFOG(5));CHKERRQ(ierr);
1700         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(6) (number of nodes in the complete tree): %d \n",mumps->id.INFOG(6));CHKERRQ(ierr);
1701         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(7) (ordering option effectively use after analysis): %d \n",mumps->id.INFOG(7));CHKERRQ(ierr);
1702         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(8) (structural symmetry in percent of the permuted matrix after analysis): %d \n",mumps->id.INFOG(8));CHKERRQ(ierr);
1703         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(9) (total real/complex workspace to store the matrix factors after factorization): %d \n",mumps->id.INFOG(9));CHKERRQ(ierr);
1704         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(10) (total integer space store the matrix factors after factorization): %d \n",mumps->id.INFOG(10));CHKERRQ(ierr);
1705         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(11) (order of largest frontal matrix after factorization): %d \n",mumps->id.INFOG(11));CHKERRQ(ierr);
1706         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(12) (number of off-diagonal pivots): %d \n",mumps->id.INFOG(12));CHKERRQ(ierr);
1707         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(13) (number of delayed pivots after factorization): %d \n",mumps->id.INFOG(13));CHKERRQ(ierr);
1708         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(14) (number of memory compress after factorization): %d \n",mumps->id.INFOG(14));CHKERRQ(ierr);
1709         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(15) (number of steps of iterative refinement after solution): %d \n",mumps->id.INFOG(15));CHKERRQ(ierr);
1710         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);
1711         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);
1712         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);
1713         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);
1714         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(20) (estimated number of entries in the factors): %d \n",mumps->id.INFOG(20));CHKERRQ(ierr);
1715         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);
1716         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);
1717         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(23) (after analysis: value of ICNTL(6) effectively used): %d \n",mumps->id.INFOG(23));CHKERRQ(ierr);
1718         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(24) (after analysis: value of ICNTL(12) effectively used): %d \n",mumps->id.INFOG(24));CHKERRQ(ierr);
1719         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(25) (after factorization: number of pivots modified by static pivoting): %d \n",mumps->id.INFOG(25));CHKERRQ(ierr);
1720         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(28) (after factorization: number of null pivots encountered): %d\n",mumps->id.INFOG(28));CHKERRQ(ierr);
1721         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);
1722         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);
1723         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(32) (after analysis: type of analysis done): %d\n",mumps->id.INFOG(32));CHKERRQ(ierr);
1724         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(33) (value used for ICNTL(8)): %d\n",mumps->id.INFOG(33));CHKERRQ(ierr);
1725         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(34) (exponent of the determinant if determinant is requested): %d\n",mumps->id.INFOG(34));CHKERRQ(ierr);
1726       }
1727     }
1728   }
1729   PetscFunctionReturn(0);
1730 }
1731 
1732 PetscErrorCode MatGetInfo_MUMPS(Mat A,MatInfoType flag,MatInfo *info)
1733 {
1734   Mat_MUMPS *mumps =(Mat_MUMPS*)A->data;
1735 
1736   PetscFunctionBegin;
1737   info->block_size        = 1.0;
1738   info->nz_allocated      = mumps->id.INFOG(20);
1739   info->nz_used           = mumps->id.INFOG(20);
1740   info->nz_unneeded       = 0.0;
1741   info->assemblies        = 0.0;
1742   info->mallocs           = 0.0;
1743   info->memory            = 0.0;
1744   info->fill_ratio_given  = 0;
1745   info->fill_ratio_needed = 0;
1746   info->factor_mallocs    = 0;
1747   PetscFunctionReturn(0);
1748 }
1749 
1750 /* -------------------------------------------------------------------------------------------*/
1751 PetscErrorCode MatFactorSetSchurIS_MUMPS(Mat F, IS is)
1752 {
1753   Mat_MUMPS      *mumps =(Mat_MUMPS*)F->data;
1754   const PetscInt *idxs;
1755   PetscInt       size,i;
1756   PetscErrorCode ierr;
1757 
1758   PetscFunctionBegin;
1759   if (mumps->size > 1) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"MUMPS parallel Schur complements not yet supported from PETSc\n");
1760   ierr = ISGetLocalSize(is,&size);CHKERRQ(ierr);
1761   if (mumps->id.size_schur != size) {
1762     ierr = PetscFree2(mumps->id.listvar_schur,mumps->id.schur);CHKERRQ(ierr);
1763     mumps->id.size_schur = size;
1764     mumps->id.schur_lld = size;
1765     ierr = PetscMalloc2(size,&mumps->id.listvar_schur,size*size,&mumps->id.schur);CHKERRQ(ierr);
1766   }
1767   ierr = ISGetIndices(is,&idxs);CHKERRQ(ierr);
1768   ierr = PetscMemcpy(mumps->id.listvar_schur,idxs,size*sizeof(PetscInt));CHKERRQ(ierr);
1769   /* MUMPS expects Fortran style indices */
1770   for (i=0;i<size;i++) mumps->id.listvar_schur[i]++;
1771   ierr = ISRestoreIndices(is,&idxs);CHKERRQ(ierr);
1772   if (size) { /* turn on Schur switch if we the set of indices is not empty */
1773     if (F->factortype == MAT_FACTOR_LU) {
1774       mumps->id.ICNTL(19) = 3; /* MUMPS returns full matrix */
1775     } else {
1776       mumps->id.ICNTL(19) = 2; /* MUMPS returns lower triangular part */
1777     }
1778     /* set a special value of ICNTL (not handled my MUMPS) to be used in the solve phase by PETSc */
1779     mumps->id.ICNTL(26) = -1;
1780   }
1781   PetscFunctionReturn(0);
1782 }
1783 
1784 /* -------------------------------------------------------------------------------------------*/
1785 PetscErrorCode MatFactorCreateSchurComplement_MUMPS(Mat F,Mat* S)
1786 {
1787   Mat            St;
1788   Mat_MUMPS      *mumps =(Mat_MUMPS*)F->data;
1789   PetscScalar    *array;
1790 #if defined(PETSC_USE_COMPLEX)
1791   PetscScalar    im = PetscSqrtScalar((PetscScalar)-1.0);
1792 #endif
1793   PetscErrorCode ierr;
1794 
1795   PetscFunctionBegin;
1796   if (!mumps->id.ICNTL(19)) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur complement mode not selected! You should call MatFactorSetSchurIS to enable it");
1797   else if (!mumps->id.size_schur) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur indices not set! You should call MatFactorSetSchurIS before");
1798 
1799   ierr = MatCreate(PetscObjectComm((PetscObject)F),&St);CHKERRQ(ierr);
1800   ierr = MatSetSizes(St,PETSC_DECIDE,PETSC_DECIDE,mumps->id.size_schur,mumps->id.size_schur);CHKERRQ(ierr);
1801   ierr = MatSetType(St,MATDENSE);CHKERRQ(ierr);
1802   ierr = MatSetUp(St);CHKERRQ(ierr);
1803   ierr = MatDenseGetArray(St,&array);CHKERRQ(ierr);
1804   if (!mumps->sym) { /* MUMPS always return a full matrix */
1805     if (mumps->id.ICNTL(19) == 1) { /* stored by rows */
1806       PetscInt i,j,N=mumps->id.size_schur;
1807       for (i=0;i<N;i++) {
1808         for (j=0;j<N;j++) {
1809 #if !defined(PETSC_USE_COMPLEX)
1810           PetscScalar val = mumps->id.schur[i*N+j];
1811 #else
1812           PetscScalar val = mumps->id.schur[i*N+j].r + im*mumps->id.schur[i*N+j].i;
1813 #endif
1814           array[j*N+i] = val;
1815         }
1816       }
1817     } else { /* stored by columns */
1818       ierr = PetscMemcpy(array,mumps->id.schur,mumps->id.size_schur*mumps->id.size_schur*sizeof(PetscScalar));CHKERRQ(ierr);
1819     }
1820   } else { /* either full or lower-triangular (not packed) */
1821     if (mumps->id.ICNTL(19) == 2) { /* lower triangular stored by columns */
1822       PetscInt i,j,N=mumps->id.size_schur;
1823       for (i=0;i<N;i++) {
1824         for (j=i;j<N;j++) {
1825 #if !defined(PETSC_USE_COMPLEX)
1826           PetscScalar val = mumps->id.schur[i*N+j];
1827 #else
1828           PetscScalar val = mumps->id.schur[i*N+j].r + im*mumps->id.schur[i*N+j].i;
1829 #endif
1830           array[i*N+j] = val;
1831           array[j*N+i] = val;
1832         }
1833       }
1834     } else if (mumps->id.ICNTL(19) == 3) { /* full matrix */
1835       ierr = PetscMemcpy(array,mumps->id.schur,mumps->id.size_schur*mumps->id.size_schur*sizeof(PetscScalar));CHKERRQ(ierr);
1836     } else { /* ICNTL(19) == 1 lower triangular stored by rows */
1837       PetscInt i,j,N=mumps->id.size_schur;
1838       for (i=0;i<N;i++) {
1839         for (j=0;j<i+1;j++) {
1840 #if !defined(PETSC_USE_COMPLEX)
1841           PetscScalar val = mumps->id.schur[i*N+j];
1842 #else
1843           PetscScalar val = mumps->id.schur[i*N+j].r + im*mumps->id.schur[i*N+j].i;
1844 #endif
1845           array[i*N+j] = val;
1846           array[j*N+i] = val;
1847         }
1848       }
1849     }
1850   }
1851   ierr = MatDenseRestoreArray(St,&array);CHKERRQ(ierr);
1852   *S = St;
1853   PetscFunctionReturn(0);
1854 }
1855 
1856 /* -------------------------------------------------------------------------------------------*/
1857 PetscErrorCode MatFactorGetSchurComplement_MUMPS(Mat F,Mat* S)
1858 {
1859   Mat            St;
1860   Mat_MUMPS      *mumps =(Mat_MUMPS*)F->data;
1861   PetscErrorCode ierr;
1862 
1863   PetscFunctionBegin;
1864   if (!mumps->id.ICNTL(19)) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur complement mode not selected! You should call MatFactorSetSchurIS to enable it");
1865   else if (!mumps->id.size_schur) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur indices not set! You should call MatFactorSetSchurIS before");
1866 
1867   /* 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 */
1868   ierr = MatCreateSeqDense(PetscObjectComm((PetscObject)F),mumps->id.size_schur,mumps->id.size_schur,(PetscScalar*)mumps->id.schur,&St);CHKERRQ(ierr);
1869   *S = St;
1870   PetscFunctionReturn(0);
1871 }
1872 
1873 /* -------------------------------------------------------------------------------------------*/
1874 PetscErrorCode MatFactorFactorizeSchurComplement_MUMPS(Mat F)
1875 {
1876   Mat_MUMPS      *mumps =(Mat_MUMPS*)F->data;
1877   PetscErrorCode ierr;
1878 
1879   PetscFunctionBegin;
1880   if (!mumps->id.ICNTL(19)) { /* do nothing */
1881     PetscFunctionReturn(0);
1882   }
1883   if (!mumps->id.size_schur) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur indices not set! You should call MatMumpsSetSchurIndices before");
1884   ierr = MatMumpsFactorSchur_Private(mumps);CHKERRQ(ierr);
1885   PetscFunctionReturn(0);
1886 }
1887 
1888 PetscErrorCode MatFactorInvertSchurComplement_MUMPS(Mat F)
1889 {
1890   Mat_MUMPS      *mumps =(Mat_MUMPS*)F->data;
1891   PetscErrorCode ierr;
1892 
1893   PetscFunctionBegin;
1894   if (!mumps->id.ICNTL(19)) { /* do nothing */
1895     PetscFunctionReturn(0);
1896   }
1897   if (!mumps->id.size_schur) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur indices not set! You should call MatFactorSetSchurIS before");
1898   ierr = MatMumpsInvertSchur_Private(mumps);CHKERRQ(ierr);
1899   PetscFunctionReturn(0);
1900 }
1901 
1902 /* -------------------------------------------------------------------------------------------*/
1903 PetscErrorCode MatFactorSolveSchurComplement_MUMPS(Mat F, Vec rhs, Vec sol)
1904 {
1905   Mat_MUMPS      *mumps =(Mat_MUMPS*)F->data;
1906   MumpsScalar    *orhs;
1907   PetscScalar    *osol,*nrhs,*nsol;
1908   PetscInt       orhs_size,osol_size,olrhs_size;
1909   PetscErrorCode ierr;
1910 
1911   PetscFunctionBegin;
1912   if (!mumps->id.ICNTL(19)) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur complement mode not selected! You should call MatFactorSetSchurIS to enable it");
1913   if (!mumps->id.size_schur) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur indices not set! You should call MatFactorSetSchurIS before");
1914 
1915   /* swap pointers */
1916   orhs = mumps->id.redrhs;
1917   olrhs_size = mumps->id.lredrhs;
1918   orhs_size = mumps->sizeredrhs;
1919   osol = mumps->schur_sol;
1920   osol_size = mumps->schur_sizesol;
1921   ierr = VecGetArray(rhs,&nrhs);CHKERRQ(ierr);
1922   ierr = VecGetArray(sol,&nsol);CHKERRQ(ierr);
1923   mumps->id.redrhs = (MumpsScalar*)nrhs;
1924   ierr = VecGetLocalSize(rhs,&mumps->sizeredrhs);CHKERRQ(ierr);
1925   mumps->id.lredrhs = mumps->sizeredrhs;
1926   mumps->schur_sol = nsol;
1927   ierr = VecGetLocalSize(sol,&mumps->schur_sizesol);CHKERRQ(ierr);
1928 
1929   /* solve Schur complement */
1930   mumps->id.nrhs = 1;
1931   ierr = MatMumpsSolveSchur_Private(mumps,PETSC_FALSE);CHKERRQ(ierr);
1932   /* restore pointers */
1933   ierr = VecRestoreArray(rhs,&nrhs);CHKERRQ(ierr);
1934   ierr = VecRestoreArray(sol,&nsol);CHKERRQ(ierr);
1935   mumps->id.redrhs = orhs;
1936   mumps->id.lredrhs = olrhs_size;
1937   mumps->sizeredrhs = orhs_size;
1938   mumps->schur_sol = osol;
1939   mumps->schur_sizesol = osol_size;
1940   PetscFunctionReturn(0);
1941 }
1942 
1943 /* -------------------------------------------------------------------------------------------*/
1944 PetscErrorCode MatFactorSolveSchurComplementTranspose_MUMPS(Mat F, Vec rhs, Vec sol)
1945 {
1946   Mat_MUMPS      *mumps =(Mat_MUMPS*)F->data;
1947   MumpsScalar    *orhs;
1948   PetscScalar    *osol,*nrhs,*nsol;
1949   PetscInt       orhs_size,osol_size;
1950   PetscErrorCode ierr;
1951 
1952   PetscFunctionBegin;
1953   if (!mumps->id.ICNTL(19)) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur complement mode not selected! You should call MatFactorSetSchurIS to enable it");
1954   else if (!mumps->id.size_schur) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur indices not set! You should call MatFactorSetSchurIS before");
1955 
1956   /* swap pointers */
1957   orhs = mumps->id.redrhs;
1958   orhs_size = mumps->sizeredrhs;
1959   osol = mumps->schur_sol;
1960   osol_size = mumps->schur_sizesol;
1961   ierr = VecGetArray(rhs,&nrhs);CHKERRQ(ierr);
1962   ierr = VecGetArray(sol,&nsol);CHKERRQ(ierr);
1963   mumps->id.redrhs = (MumpsScalar*)nrhs;
1964   ierr = VecGetLocalSize(rhs,&mumps->sizeredrhs);CHKERRQ(ierr);
1965   mumps->schur_sol = nsol;
1966   ierr = VecGetLocalSize(sol,&mumps->schur_sizesol);CHKERRQ(ierr);
1967 
1968   /* solve Schur complement */
1969   mumps->id.nrhs = 1;
1970   mumps->id.ICNTL(9) = 0;
1971   ierr = MatMumpsSolveSchur_Private(mumps,PETSC_FALSE);CHKERRQ(ierr);
1972   mumps->id.ICNTL(9) = 1;
1973   /* restore pointers */
1974   ierr = VecRestoreArray(rhs,&nrhs);CHKERRQ(ierr);
1975   ierr = VecRestoreArray(sol,&nsol);CHKERRQ(ierr);
1976   mumps->id.redrhs = orhs;
1977   mumps->sizeredrhs = orhs_size;
1978   mumps->schur_sol = osol;
1979   mumps->schur_sizesol = osol_size;
1980   PetscFunctionReturn(0);
1981 }
1982 
1983 /* -------------------------------------------------------------------------------------------*/
1984 PetscErrorCode MatFactorSetSchurComplementSolverType_MUMPS(Mat F, PetscInt sym)
1985 {
1986   Mat_MUMPS *mumps =(Mat_MUMPS*)F->data;
1987 
1988   PetscFunctionBegin;
1989   if (mumps->schur_factored && mumps->sym != mumps->schur_sym) {
1990     SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ARG_WRONG,"Cannot change the Schur solver! Schur complement data has been already factored");
1991   }
1992   mumps->schur_sym = sym;
1993   PetscFunctionReturn(0);
1994 }
1995 
1996 /* -------------------------------------------------------------------------------------------*/
1997 PetscErrorCode MatMumpsSetIcntl_MUMPS(Mat F,PetscInt icntl,PetscInt ival)
1998 {
1999   Mat_MUMPS *mumps =(Mat_MUMPS*)F->data;
2000 
2001   PetscFunctionBegin;
2002   mumps->id.ICNTL(icntl) = ival;
2003   PetscFunctionReturn(0);
2004 }
2005 
2006 PetscErrorCode MatMumpsGetIcntl_MUMPS(Mat F,PetscInt icntl,PetscInt *ival)
2007 {
2008   Mat_MUMPS *mumps =(Mat_MUMPS*)F->data;
2009 
2010   PetscFunctionBegin;
2011   *ival = mumps->id.ICNTL(icntl);
2012   PetscFunctionReturn(0);
2013 }
2014 
2015 /*@
2016   MatMumpsSetIcntl - Set MUMPS parameter ICNTL()
2017 
2018    Logically Collective on Mat
2019 
2020    Input Parameters:
2021 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
2022 .  icntl - index of MUMPS parameter array ICNTL()
2023 -  ival - value of MUMPS ICNTL(icntl)
2024 
2025   Options Database:
2026 .   -mat_mumps_icntl_<icntl> <ival>
2027 
2028    Level: beginner
2029 
2030    References:
2031 .     MUMPS Users' Guide
2032 
2033 .seealso: MatGetFactor(), MatMumpsSetICntl(), MatMumpsGetIcntl(), MatMumpsSetCntl(), MatMumpsGetCntl(), MatMumpsGetInfo(), MatMumpsGetInfog(), MatMumpsGetRinfo(), MatMumpsGetRinfog()
2034  @*/
2035 PetscErrorCode MatMumpsSetIcntl(Mat F,PetscInt icntl,PetscInt ival)
2036 {
2037   PetscErrorCode ierr;
2038 
2039   PetscFunctionBegin;
2040   PetscValidType(F,1);
2041   if (!F->factortype) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ARG_WRONGSTATE,"Only for factored matrix");
2042   PetscValidLogicalCollectiveInt(F,icntl,2);
2043   PetscValidLogicalCollectiveInt(F,ival,3);
2044   ierr = PetscTryMethod(F,"MatMumpsSetIcntl_C",(Mat,PetscInt,PetscInt),(F,icntl,ival));CHKERRQ(ierr);
2045   PetscFunctionReturn(0);
2046 }
2047 
2048 /*@
2049   MatMumpsGetIcntl - Get MUMPS parameter ICNTL()
2050 
2051    Logically Collective on Mat
2052 
2053    Input Parameters:
2054 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
2055 -  icntl - index of MUMPS parameter array ICNTL()
2056 
2057   Output Parameter:
2058 .  ival - value of MUMPS ICNTL(icntl)
2059 
2060    Level: beginner
2061 
2062    References:
2063 .     MUMPS Users' Guide
2064 
2065 .seealso: MatGetFactor(), MatMumpsSetICntl(), MatMumpsGetIcntl(), MatMumpsSetCntl(), MatMumpsGetCntl(), MatMumpsGetInfo(), MatMumpsGetInfog(), MatMumpsGetRinfo(), MatMumpsGetRinfog()
2066 @*/
2067 PetscErrorCode MatMumpsGetIcntl(Mat F,PetscInt icntl,PetscInt *ival)
2068 {
2069   PetscErrorCode ierr;
2070 
2071   PetscFunctionBegin;
2072   PetscValidType(F,1);
2073   if (!F->factortype) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ARG_WRONGSTATE,"Only for factored matrix");
2074   PetscValidLogicalCollectiveInt(F,icntl,2);
2075   PetscValidIntPointer(ival,3);
2076   ierr = PetscUseMethod(F,"MatMumpsGetIcntl_C",(Mat,PetscInt,PetscInt*),(F,icntl,ival));CHKERRQ(ierr);
2077   PetscFunctionReturn(0);
2078 }
2079 
2080 /* -------------------------------------------------------------------------------------------*/
2081 PetscErrorCode MatMumpsSetCntl_MUMPS(Mat F,PetscInt icntl,PetscReal val)
2082 {
2083   Mat_MUMPS *mumps =(Mat_MUMPS*)F->data;
2084 
2085   PetscFunctionBegin;
2086   mumps->id.CNTL(icntl) = val;
2087   PetscFunctionReturn(0);
2088 }
2089 
2090 PetscErrorCode MatMumpsGetCntl_MUMPS(Mat F,PetscInt icntl,PetscReal *val)
2091 {
2092   Mat_MUMPS *mumps =(Mat_MUMPS*)F->data;
2093 
2094   PetscFunctionBegin;
2095   *val = mumps->id.CNTL(icntl);
2096   PetscFunctionReturn(0);
2097 }
2098 
2099 /*@
2100   MatMumpsSetCntl - Set MUMPS parameter CNTL()
2101 
2102    Logically Collective on Mat
2103 
2104    Input Parameters:
2105 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
2106 .  icntl - index of MUMPS parameter array CNTL()
2107 -  val - value of MUMPS CNTL(icntl)
2108 
2109   Options Database:
2110 .   -mat_mumps_cntl_<icntl> <val>
2111 
2112    Level: beginner
2113 
2114    References:
2115 .     MUMPS Users' Guide
2116 
2117 .seealso: MatGetFactor(), MatMumpsSetICntl(), MatMumpsGetIcntl(), MatMumpsSetCntl(), MatMumpsGetCntl(), MatMumpsGetInfo(), MatMumpsGetInfog(), MatMumpsGetRinfo(), MatMumpsGetRinfog()
2118 @*/
2119 PetscErrorCode MatMumpsSetCntl(Mat F,PetscInt icntl,PetscReal val)
2120 {
2121   PetscErrorCode ierr;
2122 
2123   PetscFunctionBegin;
2124   PetscValidType(F,1);
2125   if (!F->factortype) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ARG_WRONGSTATE,"Only for factored matrix");
2126   PetscValidLogicalCollectiveInt(F,icntl,2);
2127   PetscValidLogicalCollectiveReal(F,val,3);
2128   ierr = PetscTryMethod(F,"MatMumpsSetCntl_C",(Mat,PetscInt,PetscReal),(F,icntl,val));CHKERRQ(ierr);
2129   PetscFunctionReturn(0);
2130 }
2131 
2132 /*@
2133   MatMumpsGetCntl - Get MUMPS parameter CNTL()
2134 
2135    Logically Collective on Mat
2136 
2137    Input Parameters:
2138 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
2139 -  icntl - index of MUMPS parameter array CNTL()
2140 
2141   Output Parameter:
2142 .  val - value of MUMPS CNTL(icntl)
2143 
2144    Level: beginner
2145 
2146    References:
2147 .      MUMPS Users' Guide
2148 
2149 .seealso: MatGetFactor(), MatMumpsSetICntl(), MatMumpsGetIcntl(), MatMumpsSetCntl(), MatMumpsGetCntl(), MatMumpsGetInfo(), MatMumpsGetInfog(), MatMumpsGetRinfo(), MatMumpsGetRinfog()
2150 @*/
2151 PetscErrorCode MatMumpsGetCntl(Mat F,PetscInt icntl,PetscReal *val)
2152 {
2153   PetscErrorCode ierr;
2154 
2155   PetscFunctionBegin;
2156   PetscValidType(F,1);
2157   if (!F->factortype) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ARG_WRONGSTATE,"Only for factored matrix");
2158   PetscValidLogicalCollectiveInt(F,icntl,2);
2159   PetscValidRealPointer(val,3);
2160   ierr = PetscUseMethod(F,"MatMumpsGetCntl_C",(Mat,PetscInt,PetscReal*),(F,icntl,val));CHKERRQ(ierr);
2161   PetscFunctionReturn(0);
2162 }
2163 
2164 PetscErrorCode MatMumpsGetInfo_MUMPS(Mat F,PetscInt icntl,PetscInt *info)
2165 {
2166   Mat_MUMPS *mumps =(Mat_MUMPS*)F->data;
2167 
2168   PetscFunctionBegin;
2169   *info = mumps->id.INFO(icntl);
2170   PetscFunctionReturn(0);
2171 }
2172 
2173 PetscErrorCode MatMumpsGetInfog_MUMPS(Mat F,PetscInt icntl,PetscInt *infog)
2174 {
2175   Mat_MUMPS *mumps =(Mat_MUMPS*)F->data;
2176 
2177   PetscFunctionBegin;
2178   *infog = mumps->id.INFOG(icntl);
2179   PetscFunctionReturn(0);
2180 }
2181 
2182 PetscErrorCode MatMumpsGetRinfo_MUMPS(Mat F,PetscInt icntl,PetscReal *rinfo)
2183 {
2184   Mat_MUMPS *mumps =(Mat_MUMPS*)F->data;
2185 
2186   PetscFunctionBegin;
2187   *rinfo = mumps->id.RINFO(icntl);
2188   PetscFunctionReturn(0);
2189 }
2190 
2191 PetscErrorCode MatMumpsGetRinfog_MUMPS(Mat F,PetscInt icntl,PetscReal *rinfog)
2192 {
2193   Mat_MUMPS *mumps =(Mat_MUMPS*)F->data;
2194 
2195   PetscFunctionBegin;
2196   *rinfog = mumps->id.RINFOG(icntl);
2197   PetscFunctionReturn(0);
2198 }
2199 
2200 /*@
2201   MatMumpsGetInfo - Get MUMPS parameter INFO()
2202 
2203    Logically Collective on Mat
2204 
2205    Input Parameters:
2206 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
2207 -  icntl - index of MUMPS parameter array INFO()
2208 
2209   Output Parameter:
2210 .  ival - value of MUMPS INFO(icntl)
2211 
2212    Level: beginner
2213 
2214    References:
2215 .      MUMPS Users' Guide
2216 
2217 .seealso: MatGetFactor(), MatMumpsSetICntl(), MatMumpsGetIcntl(), MatMumpsSetCntl(), MatMumpsGetCntl(), MatMumpsGetInfo(), MatMumpsGetInfog(), MatMumpsGetRinfo(), MatMumpsGetRinfog()
2218 @*/
2219 PetscErrorCode MatMumpsGetInfo(Mat F,PetscInt icntl,PetscInt *ival)
2220 {
2221   PetscErrorCode ierr;
2222 
2223   PetscFunctionBegin;
2224   PetscValidType(F,1);
2225   if (!F->factortype) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ARG_WRONGSTATE,"Only for factored matrix");
2226   PetscValidIntPointer(ival,3);
2227   ierr = PetscUseMethod(F,"MatMumpsGetInfo_C",(Mat,PetscInt,PetscInt*),(F,icntl,ival));CHKERRQ(ierr);
2228   PetscFunctionReturn(0);
2229 }
2230 
2231 /*@
2232   MatMumpsGetInfog - Get MUMPS parameter INFOG()
2233 
2234    Logically Collective on Mat
2235 
2236    Input Parameters:
2237 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
2238 -  icntl - index of MUMPS parameter array INFOG()
2239 
2240   Output Parameter:
2241 .  ival - value of MUMPS INFOG(icntl)
2242 
2243    Level: beginner
2244 
2245    References:
2246 .      MUMPS Users' Guide
2247 
2248 .seealso: MatGetFactor(), MatMumpsSetICntl(), MatMumpsGetIcntl(), MatMumpsSetCntl(), MatMumpsGetCntl(), MatMumpsGetInfo(), MatMumpsGetInfog(), MatMumpsGetRinfo(), MatMumpsGetRinfog()
2249 @*/
2250 PetscErrorCode MatMumpsGetInfog(Mat F,PetscInt icntl,PetscInt *ival)
2251 {
2252   PetscErrorCode ierr;
2253 
2254   PetscFunctionBegin;
2255   PetscValidType(F,1);
2256   if (!F->factortype) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ARG_WRONGSTATE,"Only for factored matrix");
2257   PetscValidIntPointer(ival,3);
2258   ierr = PetscUseMethod(F,"MatMumpsGetInfog_C",(Mat,PetscInt,PetscInt*),(F,icntl,ival));CHKERRQ(ierr);
2259   PetscFunctionReturn(0);
2260 }
2261 
2262 /*@
2263   MatMumpsGetRinfo - Get MUMPS parameter RINFO()
2264 
2265    Logically Collective on Mat
2266 
2267    Input Parameters:
2268 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
2269 -  icntl - index of MUMPS parameter array RINFO()
2270 
2271   Output Parameter:
2272 .  val - value of MUMPS RINFO(icntl)
2273 
2274    Level: beginner
2275 
2276    References:
2277 .       MUMPS Users' Guide
2278 
2279 .seealso: MatGetFactor(), MatMumpsSetICntl(), MatMumpsGetIcntl(), MatMumpsSetCntl(), MatMumpsGetCntl(), MatMumpsGetInfo(), MatMumpsGetInfog(), MatMumpsGetRinfo(), MatMumpsGetRinfog()
2280 @*/
2281 PetscErrorCode MatMumpsGetRinfo(Mat F,PetscInt icntl,PetscReal *val)
2282 {
2283   PetscErrorCode ierr;
2284 
2285   PetscFunctionBegin;
2286   PetscValidType(F,1);
2287   if (!F->factortype) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ARG_WRONGSTATE,"Only for factored matrix");
2288   PetscValidRealPointer(val,3);
2289   ierr = PetscUseMethod(F,"MatMumpsGetRinfo_C",(Mat,PetscInt,PetscReal*),(F,icntl,val));CHKERRQ(ierr);
2290   PetscFunctionReturn(0);
2291 }
2292 
2293 /*@
2294   MatMumpsGetRinfog - Get MUMPS parameter RINFOG()
2295 
2296    Logically Collective on Mat
2297 
2298    Input Parameters:
2299 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
2300 -  icntl - index of MUMPS parameter array RINFOG()
2301 
2302   Output Parameter:
2303 .  val - value of MUMPS RINFOG(icntl)
2304 
2305    Level: beginner
2306 
2307    References:
2308 .      MUMPS Users' Guide
2309 
2310 .seealso: MatGetFactor(), MatMumpsSetICntl(), MatMumpsGetIcntl(), MatMumpsSetCntl(), MatMumpsGetCntl(), MatMumpsGetInfo(), MatMumpsGetInfog(), MatMumpsGetRinfo(), MatMumpsGetRinfog()
2311 @*/
2312 PetscErrorCode MatMumpsGetRinfog(Mat F,PetscInt icntl,PetscReal *val)
2313 {
2314   PetscErrorCode ierr;
2315 
2316   PetscFunctionBegin;
2317   PetscValidType(F,1);
2318   if (!F->factortype) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ARG_WRONGSTATE,"Only for factored matrix");
2319   PetscValidRealPointer(val,3);
2320   ierr = PetscUseMethod(F,"MatMumpsGetRinfog_C",(Mat,PetscInt,PetscReal*),(F,icntl,val));CHKERRQ(ierr);
2321   PetscFunctionReturn(0);
2322 }
2323 
2324 /*MC
2325   MATSOLVERMUMPS -  A matrix type providing direct solvers (LU and Cholesky) for
2326   distributed and sequential matrices via the external package MUMPS.
2327 
2328   Works with MATAIJ and MATSBAIJ matrices
2329 
2330   Use ./configure --download-mumps --download-scalapack --download-parmetis --download-metis --download-ptscotch  to have PETSc installed with MUMPS
2331 
2332   Use -pc_type cholesky or lu -pc_factor_mat_solver_package mumps to us this direct solver
2333 
2334   Options Database Keys:
2335 +  -mat_mumps_icntl_1 - ICNTL(1): output stream for error messages
2336 .  -mat_mumps_icntl_2 - ICNTL(2): output stream for diagnostic printing, statistics, and warning
2337 .  -mat_mumps_icntl_3 -  ICNTL(3): output stream for global information, collected on the host
2338 .  -mat_mumps_icntl_4 -  ICNTL(4): level of printing (0 to 4)
2339 .  -mat_mumps_icntl_6 - ICNTL(6): permutes to a zero-free diagonal and/or scale the matrix (0 to 7)
2340 .  -mat_mumps_icntl_7 - ICNTL(7): computes a symmetric permutation in sequential analysis (0 to 7). 3=Scotch, 4=PORD, 5=Metis
2341 .  -mat_mumps_icntl_8  - ICNTL(8): scaling strategy (-2 to 8 or 77)
2342 .  -mat_mumps_icntl_10  - ICNTL(10): max num of refinements
2343 .  -mat_mumps_icntl_11  - ICNTL(11): statistics related to an error analysis (via -ksp_view)
2344 .  -mat_mumps_icntl_12  - ICNTL(12): an ordering strategy for symmetric matrices (0 to 3)
2345 .  -mat_mumps_icntl_13  - ICNTL(13): parallelism of the root node (enable ScaLAPACK) and its splitting
2346 .  -mat_mumps_icntl_14  - ICNTL(14): percentage increase in the estimated working space
2347 .  -mat_mumps_icntl_19  - ICNTL(19): computes the Schur complement
2348 .  -mat_mumps_icntl_22  - ICNTL(22): in-core/out-of-core factorization and solve (0 or 1)
2349 .  -mat_mumps_icntl_23  - ICNTL(23): max size of the working memory (MB) that can allocate per processor
2350 .  -mat_mumps_icntl_24  - ICNTL(24): detection of null pivot rows (0 or 1)
2351 .  -mat_mumps_icntl_25  - ICNTL(25): compute a solution of a deficient matrix and a null space basis
2352 .  -mat_mumps_icntl_26  - ICNTL(26): drives the solution phase if a Schur complement matrix
2353 .  -mat_mumps_icntl_28  - ICNTL(28): use 1 for sequential analysis and ictnl(7) ordering, or 2 for parallel analysis and ictnl(29) ordering
2354 .  -mat_mumps_icntl_29 - ICNTL(29): parallel ordering 1 = ptscotch, 2 = parmetis
2355 .  -mat_mumps_icntl_30 - ICNTL(30): compute user-specified set of entries in inv(A)
2356 .  -mat_mumps_icntl_31 - ICNTL(31): indicates which factors may be discarded during factorization
2357 .  -mat_mumps_icntl_33 - ICNTL(33): compute determinant
2358 .  -mat_mumps_cntl_1  - CNTL(1): relative pivoting threshold
2359 .  -mat_mumps_cntl_2  -  CNTL(2): stopping criterion of refinement
2360 .  -mat_mumps_cntl_3 - CNTL(3): absolute pivoting threshold
2361 .  -mat_mumps_cntl_4 - CNTL(4): value for static pivoting
2362 -  -mat_mumps_cntl_5 - CNTL(5): fixation for null pivots
2363 
2364   Level: beginner
2365 
2366     Notes: When a MUMPS factorization fails inside a KSP solve, for example with a KSP_DIVERGED_PCSETUP_FAILED, one can find the MUMPS information about the failure by calling
2367 $          KSPGetPC(ksp,&pc);
2368 $          PCFactorGetMatrix(pc,&mat);
2369 $          MatMumpsGetInfo(mat,....);
2370 $          MatMumpsGetInfog(mat,....); etc.
2371            Or you can run with -ksp_error_if_not_converged and the program will be stopped and the information printed in the error message.
2372 
2373 .seealso: PCFactorSetMatSolverPackage(), MatSolverPackage, MatMumpsSetICntl(), MatMumpsGetIcntl(), MatMumpsSetCntl(), MatMumpsGetCntl(), MatMumpsGetInfo(), MatMumpsGetInfog(), MatMumpsGetRinfo(), MatMumpsGetRinfog(), KSPGetPC(), PCGetFactor(), PCFactorGetMatrix()
2374 
2375 M*/
2376 
2377 static PetscErrorCode MatFactorGetSolverPackage_mumps(Mat A,const MatSolverPackage *type)
2378 {
2379   PetscFunctionBegin;
2380   *type = MATSOLVERMUMPS;
2381   PetscFunctionReturn(0);
2382 }
2383 
2384 /* MatGetFactor for Seq and MPI AIJ matrices */
2385 static PetscErrorCode MatGetFactor_aij_mumps(Mat A,MatFactorType ftype,Mat *F)
2386 {
2387   Mat            B;
2388   PetscErrorCode ierr;
2389   Mat_MUMPS      *mumps;
2390   PetscBool      isSeqAIJ;
2391 
2392   PetscFunctionBegin;
2393   /* Create the factorization matrix */
2394   ierr = PetscObjectTypeCompare((PetscObject)A,MATSEQAIJ,&isSeqAIJ);CHKERRQ(ierr);
2395   ierr = MatCreate(PetscObjectComm((PetscObject)A),&B);CHKERRQ(ierr);
2396   ierr = MatSetSizes(B,A->rmap->n,A->cmap->n,A->rmap->N,A->cmap->N);CHKERRQ(ierr);
2397   ierr = PetscStrallocpy("mumps",&((PetscObject)B)->type_name);CHKERRQ(ierr);
2398   ierr = MatSetUp(B);CHKERRQ(ierr);
2399 
2400   ierr = PetscNewLog(B,&mumps);CHKERRQ(ierr);
2401 
2402   B->ops->view        = MatView_MUMPS;
2403   B->ops->getinfo     = MatGetInfo_MUMPS;
2404 
2405   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorGetSolverPackage_C",MatFactorGetSolverPackage_mumps);CHKERRQ(ierr);
2406   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSetSchurIS_C",MatFactorSetSchurIS_MUMPS);CHKERRQ(ierr);
2407   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorInvertSchurComplement_C",MatFactorInvertSchurComplement_MUMPS);CHKERRQ(ierr);
2408   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorCreateSchurComplement_C",MatFactorCreateSchurComplement_MUMPS);CHKERRQ(ierr);
2409   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorGetSchurComplement_C",MatFactorGetSchurComplement_MUMPS);CHKERRQ(ierr);
2410   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSolveSchurComplement_C",MatFactorSolveSchurComplement_MUMPS);CHKERRQ(ierr);
2411   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSolveSchurComplementTranspose_C",MatFactorSolveSchurComplementTranspose_MUMPS);CHKERRQ(ierr);
2412   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorFactorizeSchurComplement_C",MatFactorFactorizeSchurComplement_MUMPS);CHKERRQ(ierr);
2413   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSetSchurComplementSolverType_C",MatFactorSetSchurComplementSolverType_MUMPS);CHKERRQ(ierr);
2414   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsSetIcntl_C",MatMumpsSetIcntl_MUMPS);CHKERRQ(ierr);
2415   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetIcntl_C",MatMumpsGetIcntl_MUMPS);CHKERRQ(ierr);
2416   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsSetCntl_C",MatMumpsSetCntl_MUMPS);CHKERRQ(ierr);
2417   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetCntl_C",MatMumpsGetCntl_MUMPS);CHKERRQ(ierr);
2418   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetInfo_C",MatMumpsGetInfo_MUMPS);CHKERRQ(ierr);
2419   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetInfog_C",MatMumpsGetInfog_MUMPS);CHKERRQ(ierr);
2420   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetRinfo_C",MatMumpsGetRinfo_MUMPS);CHKERRQ(ierr);
2421   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetRinfog_C",MatMumpsGetRinfog_MUMPS);CHKERRQ(ierr);
2422 
2423   if (ftype == MAT_FACTOR_LU) {
2424     B->ops->lufactorsymbolic = MatLUFactorSymbolic_AIJMUMPS;
2425     B->factortype            = MAT_FACTOR_LU;
2426     if (isSeqAIJ) mumps->ConvertToTriples = MatConvertToTriples_seqaij_seqaij;
2427     else mumps->ConvertToTriples = MatConvertToTriples_mpiaij_mpiaij;
2428     mumps->sym = 0;
2429   } else {
2430     B->ops->choleskyfactorsymbolic = MatCholeskyFactorSymbolic_MUMPS;
2431     B->factortype                  = MAT_FACTOR_CHOLESKY;
2432     if (isSeqAIJ) mumps->ConvertToTriples = MatConvertToTriples_seqaij_seqsbaij;
2433     else mumps->ConvertToTriples = MatConvertToTriples_mpiaij_mpisbaij;
2434 #if defined(PETSC_USE_COMPLEX)
2435     mumps->sym = 2;
2436 #else
2437     if (A->spd_set && A->spd) mumps->sym = 1;
2438     else                      mumps->sym = 2;
2439 #endif
2440   }
2441 
2442   /* set solvertype */
2443   ierr = PetscFree(B->solvertype);CHKERRQ(ierr);
2444   ierr = PetscStrallocpy(MATSOLVERMUMPS,&B->solvertype);CHKERRQ(ierr);
2445 
2446   mumps->isAIJ    = PETSC_TRUE;
2447   B->ops->destroy = MatDestroy_MUMPS;
2448   B->data        = (void*)mumps;
2449 
2450   ierr = PetscInitializeMUMPS(A,mumps);CHKERRQ(ierr);
2451 
2452   *F = B;
2453   PetscFunctionReturn(0);
2454 }
2455 
2456 /* MatGetFactor for Seq and MPI SBAIJ matrices */
2457 static PetscErrorCode MatGetFactor_sbaij_mumps(Mat A,MatFactorType ftype,Mat *F)
2458 {
2459   Mat            B;
2460   PetscErrorCode ierr;
2461   Mat_MUMPS      *mumps;
2462   PetscBool      isSeqSBAIJ;
2463 
2464   PetscFunctionBegin;
2465   if (ftype != MAT_FACTOR_CHOLESKY) SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_SUP,"Cannot use PETSc SBAIJ matrices with MUMPS LU, use AIJ matrix");
2466   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");
2467   ierr = PetscObjectTypeCompare((PetscObject)A,MATSEQSBAIJ,&isSeqSBAIJ);CHKERRQ(ierr);
2468   /* Create the factorization matrix */
2469   ierr = MatCreate(PetscObjectComm((PetscObject)A),&B);CHKERRQ(ierr);
2470   ierr = MatSetSizes(B,A->rmap->n,A->cmap->n,A->rmap->N,A->cmap->N);CHKERRQ(ierr);
2471   ierr = PetscStrallocpy("mumps",&((PetscObject)B)->type_name);CHKERRQ(ierr);
2472   ierr = MatSetUp(B);CHKERRQ(ierr);
2473 
2474   ierr = PetscNewLog(B,&mumps);CHKERRQ(ierr);
2475   if (isSeqSBAIJ) {
2476     mumps->ConvertToTriples = MatConvertToTriples_seqsbaij_seqsbaij;
2477   } else {
2478     mumps->ConvertToTriples = MatConvertToTriples_mpisbaij_mpisbaij;
2479   }
2480 
2481   B->ops->getinfo                = MatGetInfo_External;
2482   B->ops->choleskyfactorsymbolic = MatCholeskyFactorSymbolic_MUMPS;
2483   B->ops->view                   = MatView_MUMPS;
2484 
2485   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorGetSolverPackage_C",MatFactorGetSolverPackage_mumps);CHKERRQ(ierr);
2486   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSetSchurIS_C",MatFactorSetSchurIS_MUMPS);CHKERRQ(ierr);
2487   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorInvertSchurComplement_C",MatFactorInvertSchurComplement_MUMPS);CHKERRQ(ierr);
2488   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorCreateSchurComplement_C",MatFactorCreateSchurComplement_MUMPS);CHKERRQ(ierr);
2489   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorGetSchurComplement_C",MatFactorGetSchurComplement_MUMPS);CHKERRQ(ierr);
2490   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSolveSchurComplement_C",MatFactorSolveSchurComplement_MUMPS);CHKERRQ(ierr);
2491   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSolveSchurComplementTranspose_C",MatFactorSolveSchurComplementTranspose_MUMPS);CHKERRQ(ierr);
2492   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorFactorizeSchurComplement_C",MatFactorFactorizeSchurComplement_MUMPS);CHKERRQ(ierr);
2493   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSetSchurComplementSolverType_C",MatFactorSetSchurComplementSolverType_MUMPS);CHKERRQ(ierr);
2494   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsSetIcntl_C",MatMumpsSetIcntl_MUMPS);CHKERRQ(ierr);
2495   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetIcntl_C",MatMumpsGetIcntl_MUMPS);CHKERRQ(ierr);
2496   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsSetCntl_C",MatMumpsSetCntl_MUMPS);CHKERRQ(ierr);
2497   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetCntl_C",MatMumpsGetCntl_MUMPS);CHKERRQ(ierr);
2498   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetInfo_C",MatMumpsGetInfo_MUMPS);CHKERRQ(ierr);
2499   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetInfog_C",MatMumpsGetInfog_MUMPS);CHKERRQ(ierr);
2500   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetRinfo_C",MatMumpsGetRinfo_MUMPS);CHKERRQ(ierr);
2501   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetRinfog_C",MatMumpsGetRinfog_MUMPS);CHKERRQ(ierr);
2502 
2503   B->factortype = MAT_FACTOR_CHOLESKY;
2504 #if defined(PETSC_USE_COMPLEX)
2505   mumps->sym = 2;
2506 #else
2507   if (A->spd_set && A->spd) mumps->sym = 1;
2508   else                      mumps->sym = 2;
2509 #endif
2510 
2511   /* set solvertype */
2512   ierr = PetscFree(B->solvertype);CHKERRQ(ierr);
2513   ierr = PetscStrallocpy(MATSOLVERMUMPS,&B->solvertype);CHKERRQ(ierr);
2514 
2515   mumps->isAIJ    = PETSC_FALSE;
2516   B->ops->destroy = MatDestroy_MUMPS;
2517   B->data        = (void*)mumps;
2518 
2519   ierr = PetscInitializeMUMPS(A,mumps);CHKERRQ(ierr);
2520 
2521   *F = B;
2522   PetscFunctionReturn(0);
2523 }
2524 
2525 static PetscErrorCode MatGetFactor_baij_mumps(Mat A,MatFactorType ftype,Mat *F)
2526 {
2527   Mat            B;
2528   PetscErrorCode ierr;
2529   Mat_MUMPS      *mumps;
2530   PetscBool      isSeqBAIJ;
2531 
2532   PetscFunctionBegin;
2533   /* Create the factorization matrix */
2534   ierr = PetscObjectTypeCompare((PetscObject)A,MATSEQBAIJ,&isSeqBAIJ);CHKERRQ(ierr);
2535   ierr = MatCreate(PetscObjectComm((PetscObject)A),&B);CHKERRQ(ierr);
2536   ierr = MatSetSizes(B,A->rmap->n,A->cmap->n,A->rmap->N,A->cmap->N);CHKERRQ(ierr);
2537   ierr = PetscStrallocpy("mumps",&((PetscObject)B)->type_name);CHKERRQ(ierr);
2538   ierr = MatSetUp(B);CHKERRQ(ierr);
2539 
2540   ierr = PetscNewLog(B,&mumps);CHKERRQ(ierr);
2541   if (ftype == MAT_FACTOR_LU) {
2542     B->ops->lufactorsymbolic = MatLUFactorSymbolic_BAIJMUMPS;
2543     B->factortype            = MAT_FACTOR_LU;
2544     if (isSeqBAIJ) mumps->ConvertToTriples = MatConvertToTriples_seqbaij_seqaij;
2545     else mumps->ConvertToTriples = MatConvertToTriples_mpibaij_mpiaij;
2546     mumps->sym = 0;
2547   } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Cannot use PETSc BAIJ matrices with MUMPS Cholesky, use SBAIJ or AIJ matrix instead\n");
2548 
2549   B->ops->getinfo     = MatGetInfo_External;
2550   B->ops->view        = MatView_MUMPS;
2551 
2552   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorGetSolverPackage_C",MatFactorGetSolverPackage_mumps);CHKERRQ(ierr);
2553   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSetSchurIS_C",MatFactorSetSchurIS_MUMPS);CHKERRQ(ierr);
2554   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorInvertSchurComplement_C",MatFactorInvertSchurComplement_MUMPS);CHKERRQ(ierr);
2555   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorCreateSchurComplement_C",MatFactorCreateSchurComplement_MUMPS);CHKERRQ(ierr);
2556   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorGetSchurComplement_C",MatFactorGetSchurComplement_MUMPS);CHKERRQ(ierr);
2557   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSolveSchurComplement_C",MatFactorSolveSchurComplement_MUMPS);CHKERRQ(ierr);
2558   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSolveSchurComplementTranspose_C",MatFactorSolveSchurComplementTranspose_MUMPS);CHKERRQ(ierr);
2559   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorFactorizeSchurComplement_C",MatFactorFactorizeSchurComplement_MUMPS);CHKERRQ(ierr);
2560   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSetSchurComplementSolverType_C",MatFactorSetSchurComplementSolverType_MUMPS);CHKERRQ(ierr);
2561   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsSetIcntl_C",MatMumpsSetIcntl_MUMPS);CHKERRQ(ierr);
2562   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetIcntl_C",MatMumpsGetIcntl_MUMPS);CHKERRQ(ierr);
2563   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsSetCntl_C",MatMumpsSetCntl_MUMPS);CHKERRQ(ierr);
2564   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetCntl_C",MatMumpsGetCntl_MUMPS);CHKERRQ(ierr);
2565   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetInfo_C",MatMumpsGetInfo_MUMPS);CHKERRQ(ierr);
2566   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetInfog_C",MatMumpsGetInfog_MUMPS);CHKERRQ(ierr);
2567   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetRinfo_C",MatMumpsGetRinfo_MUMPS);CHKERRQ(ierr);
2568   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetRinfog_C",MatMumpsGetRinfog_MUMPS);CHKERRQ(ierr);
2569 
2570   /* set solvertype */
2571   ierr = PetscFree(B->solvertype);CHKERRQ(ierr);
2572   ierr = PetscStrallocpy(MATSOLVERMUMPS,&B->solvertype);CHKERRQ(ierr);
2573 
2574   mumps->isAIJ    = PETSC_TRUE;
2575   B->ops->destroy = MatDestroy_MUMPS;
2576   B->data        = (void*)mumps;
2577 
2578   ierr = PetscInitializeMUMPS(A,mumps);CHKERRQ(ierr);
2579 
2580   *F = B;
2581   PetscFunctionReturn(0);
2582 }
2583 
2584 PETSC_EXTERN PetscErrorCode MatSolverPackageRegister_MUMPS(void)
2585 {
2586   PetscErrorCode ierr;
2587 
2588   PetscFunctionBegin;
2589   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATMPIAIJ,MAT_FACTOR_LU,MatGetFactor_aij_mumps);CHKERRQ(ierr);
2590   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATMPIAIJ,MAT_FACTOR_CHOLESKY,MatGetFactor_aij_mumps);CHKERRQ(ierr);
2591   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATMPIBAIJ,MAT_FACTOR_LU,MatGetFactor_baij_mumps);CHKERRQ(ierr);
2592   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATMPIBAIJ,MAT_FACTOR_CHOLESKY,MatGetFactor_baij_mumps);CHKERRQ(ierr);
2593   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATMPISBAIJ,MAT_FACTOR_CHOLESKY,MatGetFactor_sbaij_mumps);CHKERRQ(ierr);
2594   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATSEQAIJ,MAT_FACTOR_LU,MatGetFactor_aij_mumps);CHKERRQ(ierr);
2595   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATSEQAIJ,MAT_FACTOR_CHOLESKY,MatGetFactor_aij_mumps);CHKERRQ(ierr);
2596   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATSEQBAIJ,MAT_FACTOR_LU,MatGetFactor_baij_mumps);CHKERRQ(ierr);
2597   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATSEQBAIJ,MAT_FACTOR_CHOLESKY,MatGetFactor_baij_mumps);CHKERRQ(ierr);
2598   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATSEQSBAIJ,MAT_FACTOR_CHOLESKY,MatGetFactor_sbaij_mumps);CHKERRQ(ierr);
2599   PetscFunctionReturn(0);
2600 }
2601 
2602