xref: /petsc/src/mat/impls/aij/mpi/mumps/mumps.c (revision 94ef8dde638caef1d0cd84a7dc8a2db65fcda8b6)
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     if (mumps->size > 1) SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_SUP,"Parallel Schur complements not yet supported from PETSc\n");
927     second_solve = PETSC_TRUE;
928     ierr = MatMumpsHandleSchur_Private(mumps,PETSC_FALSE);CHKERRQ(ierr);
929   }
930   /* solve phase */
931   /*-------------*/
932   mumps->id.job = JOB_SOLVE;
933   PetscMUMPS_c(&mumps->id);
934   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));
935 
936   /* handle expansion step of Schur complement (if any) */
937   if (second_solve) {
938     ierr = MatMumpsHandleSchur_Private(mumps,PETSC_TRUE);CHKERRQ(ierr);
939   }
940 
941   if (mumps->size > 1) { /* convert mumps distributed solution to petsc mpi x */
942     if (mumps->scat_sol && mumps->ICNTL9_pre != mumps->id.ICNTL(9)) {
943       /* when id.ICNTL(9) changes, the contents of lsol_loc may change (not its size, lsol_loc), recreates scat_sol */
944       ierr = VecScatterDestroy(&mumps->scat_sol);CHKERRQ(ierr);
945     }
946     if (!mumps->scat_sol) { /* create scatter scat_sol */
947       ierr = ISCreateStride(PETSC_COMM_SELF,mumps->id.lsol_loc,0,1,&is_iden);CHKERRQ(ierr); /* from */
948       for (i=0; i<mumps->id.lsol_loc; i++) {
949         mumps->id.isol_loc[i] -= 1; /* change Fortran style to C style */
950       }
951       ierr = ISCreateGeneral(PETSC_COMM_SELF,mumps->id.lsol_loc,mumps->id.isol_loc,PETSC_COPY_VALUES,&is_petsc);CHKERRQ(ierr);  /* to */
952       ierr = VecScatterCreate(mumps->x_seq,is_iden,x,is_petsc,&mumps->scat_sol);CHKERRQ(ierr);
953       ierr = ISDestroy(&is_iden);CHKERRQ(ierr);
954       ierr = ISDestroy(&is_petsc);CHKERRQ(ierr);
955 
956       mumps->ICNTL9_pre = mumps->id.ICNTL(9); /* save current value of id.ICNTL(9) */
957     }
958 
959     ierr = VecScatterBegin(mumps->scat_sol,mumps->x_seq,x,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
960     ierr = VecScatterEnd(mumps->scat_sol,mumps->x_seq,x,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
961   }
962   PetscFunctionReturn(0);
963 }
964 
965 PetscErrorCode MatSolveTranspose_MUMPS(Mat A,Vec b,Vec x)
966 {
967   Mat_MUMPS      *mumps=(Mat_MUMPS*)A->data;
968   PetscErrorCode ierr;
969 
970   PetscFunctionBegin;
971   mumps->id.ICNTL(9) = 0;
972   ierr = MatSolve_MUMPS(A,b,x);CHKERRQ(ierr);
973   mumps->id.ICNTL(9) = 1;
974   PetscFunctionReturn(0);
975 }
976 
977 PetscErrorCode MatMatSolve_MUMPS(Mat A,Mat B,Mat X)
978 {
979   PetscErrorCode ierr;
980   PetscBool      flg;
981   Mat_MUMPS      *mumps=(Mat_MUMPS*)A->data;
982   PetscInt       i,nrhs,M;
983   PetscScalar    *array,*bray;
984 
985   PetscFunctionBegin;
986   ierr = PetscObjectTypeCompareAny((PetscObject)B,&flg,MATSEQDENSE,MATMPIDENSE,NULL);CHKERRQ(ierr);
987   if (!flg) SETERRQ(PetscObjectComm((PetscObject)B),PETSC_ERR_ARG_WRONG,"Matrix B must be MATDENSE matrix");
988   ierr = PetscObjectTypeCompareAny((PetscObject)X,&flg,MATSEQDENSE,MATMPIDENSE,NULL);CHKERRQ(ierr);
989   if (!flg) SETERRQ(PetscObjectComm((PetscObject)X),PETSC_ERR_ARG_WRONG,"Matrix X must be MATDENSE matrix");
990   if (B->rmap->n != X->rmap->n) SETERRQ(PetscObjectComm((PetscObject)B),PETSC_ERR_ARG_WRONG,"Matrix B and X must have same row distribution");
991 
992   ierr = MatGetSize(B,&M,&nrhs);CHKERRQ(ierr);
993   mumps->id.nrhs = nrhs;
994   mumps->id.lrhs = M;
995 
996   if (mumps->size == 1) {
997     PetscBool second_solve = PETSC_FALSE;
998     /* copy B to X */
999     ierr = MatDenseGetArray(B,&bray);CHKERRQ(ierr);
1000     ierr = MatDenseGetArray(X,&array);CHKERRQ(ierr);
1001     ierr = PetscMemcpy(array,bray,M*nrhs*sizeof(PetscScalar));CHKERRQ(ierr);
1002     ierr = MatDenseRestoreArray(B,&bray);CHKERRQ(ierr);
1003     mumps->id.rhs = (MumpsScalar*)array;
1004 
1005     /* handle condensation step of Schur complement (if any) */
1006     if (mumps->id.ICNTL(26) < 0 || mumps->id.ICNTL(26) > 2) {
1007       second_solve = PETSC_TRUE;
1008       ierr = MatMumpsHandleSchur_Private(mumps,PETSC_FALSE);CHKERRQ(ierr);
1009     }
1010     /* solve phase */
1011     /*-------------*/
1012     mumps->id.job = JOB_SOLVE;
1013     PetscMUMPS_c(&mumps->id);
1014     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));
1015 
1016     /* handle expansion step of Schur complement (if any) */
1017     if (second_solve) {
1018       ierr = MatMumpsHandleSchur_Private(mumps,PETSC_TRUE);CHKERRQ(ierr);
1019     }
1020     ierr = MatDenseRestoreArray(X,&array);CHKERRQ(ierr);
1021   } else {  /*--------- parallel case --------*/
1022     PetscInt       lsol_loc,nlsol_loc,*isol_loc,*idx,*iidx,*idxx,*isol_loc_save;
1023     MumpsScalar    *sol_loc,*sol_loc_save;
1024     IS             is_to,is_from;
1025     PetscInt       k,proc,j,m;
1026     const PetscInt *rstart;
1027     Vec            v_mpi,b_seq,x_seq;
1028     VecScatter     scat_rhs,scat_sol;
1029 
1030     if (mumps->size > 1 && mumps->id.ICNTL(19)) SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_SUP,"Parallel Schur complements not yet supported from PETSc\n");
1031 
1032     /* create x_seq to hold local solution */
1033     isol_loc_save = mumps->id.isol_loc; /* save it for MatSovle() */
1034     sol_loc_save  = mumps->id.sol_loc;
1035 
1036     lsol_loc  = mumps->id.INFO(23);
1037     nlsol_loc = nrhs*lsol_loc;     /* length of sol_loc */
1038     ierr = PetscMalloc2(nlsol_loc,&sol_loc,nlsol_loc,&isol_loc);CHKERRQ(ierr);
1039     mumps->id.sol_loc = (MumpsScalar*)sol_loc;
1040     mumps->id.isol_loc = isol_loc;
1041 
1042     ierr = VecCreateSeqWithArray(PETSC_COMM_SELF,1,nlsol_loc,(PetscScalar*)sol_loc,&x_seq);CHKERRQ(ierr);
1043 
1044     /* copy rhs matrix B into vector v_mpi */
1045     ierr = MatGetLocalSize(B,&m,NULL);CHKERRQ(ierr);
1046     ierr = MatDenseGetArray(B,&bray);CHKERRQ(ierr);
1047     ierr = VecCreateMPIWithArray(PetscObjectComm((PetscObject)B),1,nrhs*m,nrhs*M,(const PetscScalar*)bray,&v_mpi);CHKERRQ(ierr);
1048     ierr = MatDenseRestoreArray(B,&bray);CHKERRQ(ierr);
1049 
1050     /* scatter v_mpi to b_seq because MUMPS only supports centralized rhs */
1051     /* idx: maps from k-th index of v_mpi to (i,j)-th global entry of B;
1052       iidx: inverse of idx, will be used by scattering xx_seq -> X       */
1053     ierr = PetscMalloc2(nrhs*M,&idx,nrhs*M,&iidx);CHKERRQ(ierr);
1054     ierr = MatGetOwnershipRanges(B,&rstart);CHKERRQ(ierr);
1055     k = 0;
1056     for (proc=0; proc<mumps->size; proc++){
1057       for (j=0; j<nrhs; j++){
1058         for (i=rstart[proc]; i<rstart[proc+1]; i++){
1059           iidx[j*M + i] = k;
1060           idx[k++]      = j*M + i;
1061         }
1062       }
1063     }
1064 
1065     if (!mumps->myid) {
1066       ierr = VecCreateSeq(PETSC_COMM_SELF,nrhs*M,&b_seq);CHKERRQ(ierr);
1067       ierr = ISCreateGeneral(PETSC_COMM_SELF,nrhs*M,idx,PETSC_COPY_VALUES,&is_to);CHKERRQ(ierr);
1068       ierr = ISCreateStride(PETSC_COMM_SELF,nrhs*M,0,1,&is_from);CHKERRQ(ierr);
1069     } else {
1070       ierr = VecCreateSeq(PETSC_COMM_SELF,0,&b_seq);CHKERRQ(ierr);
1071       ierr = ISCreateStride(PETSC_COMM_SELF,0,0,1,&is_to);CHKERRQ(ierr);
1072       ierr = ISCreateStride(PETSC_COMM_SELF,0,0,1,&is_from);CHKERRQ(ierr);
1073     }
1074     ierr = VecScatterCreate(v_mpi,is_from,b_seq,is_to,&scat_rhs);CHKERRQ(ierr);
1075     ierr = VecScatterBegin(scat_rhs,v_mpi,b_seq,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1076     ierr = ISDestroy(&is_to);CHKERRQ(ierr);
1077     ierr = ISDestroy(&is_from);CHKERRQ(ierr);
1078     ierr = VecScatterEnd(scat_rhs,v_mpi,b_seq,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1079 
1080     if (!mumps->myid) { /* define rhs on the host */
1081       ierr = VecGetArray(b_seq,&bray);CHKERRQ(ierr);
1082       mumps->id.rhs = (MumpsScalar*)bray;
1083       ierr = VecRestoreArray(b_seq,&bray);CHKERRQ(ierr);
1084     }
1085 
1086     /* solve phase */
1087     /*-------------*/
1088     mumps->id.job = JOB_SOLVE;
1089     PetscMUMPS_c(&mumps->id);
1090     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));
1091 
1092     /* scatter mumps distributed solution to petsc vector v_mpi, which shares local arrays with solution matrix X */
1093     ierr = MatDenseGetArray(X,&array);CHKERRQ(ierr);
1094     ierr = VecPlaceArray(v_mpi,array);CHKERRQ(ierr);
1095 
1096     /* create scatter scat_sol */
1097     ierr = PetscMalloc1(nlsol_loc,&idxx);CHKERRQ(ierr);
1098     ierr = ISCreateStride(PETSC_COMM_SELF,nlsol_loc,0,1,&is_from);CHKERRQ(ierr);
1099     for (i=0; i<lsol_loc; i++) {
1100       isol_loc[i] -= 1; /* change Fortran style to C style */
1101       idxx[i] = iidx[isol_loc[i]];
1102       for (j=1; j<nrhs; j++){
1103         idxx[j*lsol_loc+i] = iidx[isol_loc[i]+j*M];
1104       }
1105     }
1106     ierr = ISCreateGeneral(PETSC_COMM_SELF,nlsol_loc,idxx,PETSC_COPY_VALUES,&is_to);CHKERRQ(ierr);
1107     ierr = VecScatterCreate(x_seq,is_from,v_mpi,is_to,&scat_sol);CHKERRQ(ierr);
1108     ierr = VecScatterBegin(scat_sol,x_seq,v_mpi,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1109     ierr = ISDestroy(&is_from);CHKERRQ(ierr);
1110     ierr = ISDestroy(&is_to);CHKERRQ(ierr);
1111     ierr = VecScatterEnd(scat_sol,x_seq,v_mpi,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1112     ierr = MatDenseRestoreArray(X,&array);CHKERRQ(ierr);
1113 
1114     /* free spaces */
1115     mumps->id.sol_loc = sol_loc_save;
1116     mumps->id.isol_loc = isol_loc_save;
1117 
1118     ierr = PetscFree2(sol_loc,isol_loc);CHKERRQ(ierr);
1119     ierr = PetscFree2(idx,iidx);CHKERRQ(ierr);
1120     ierr = PetscFree(idxx);CHKERRQ(ierr);
1121     ierr = VecDestroy(&x_seq);CHKERRQ(ierr);
1122     ierr = VecDestroy(&v_mpi);CHKERRQ(ierr);
1123     ierr = VecDestroy(&b_seq);CHKERRQ(ierr);
1124     ierr = VecScatterDestroy(&scat_rhs);CHKERRQ(ierr);
1125     ierr = VecScatterDestroy(&scat_sol);CHKERRQ(ierr);
1126   }
1127   PetscFunctionReturn(0);
1128 }
1129 
1130 #if !defined(PETSC_USE_COMPLEX)
1131 /*
1132   input:
1133    F:        numeric factor
1134   output:
1135    nneg:     total number of negative pivots
1136    nzero:    total number of zero pivots
1137    npos:     (global dimension of F) - nneg - nzero
1138 */
1139 PetscErrorCode MatGetInertia_SBAIJMUMPS(Mat F,int *nneg,int *nzero,int *npos)
1140 {
1141   Mat_MUMPS      *mumps =(Mat_MUMPS*)F->data;
1142   PetscErrorCode ierr;
1143   PetscMPIInt    size;
1144 
1145   PetscFunctionBegin;
1146   ierr = MPI_Comm_size(PetscObjectComm((PetscObject)F),&size);CHKERRQ(ierr);
1147   /* 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 */
1148   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));
1149 
1150   if (nneg) *nneg = mumps->id.INFOG(12);
1151   if (nzero || npos) {
1152     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");
1153     if (nzero) *nzero = mumps->id.INFOG(28);
1154     if (npos) *npos   = F->rmap->N - (mumps->id.INFOG(12) + mumps->id.INFOG(28));
1155   }
1156   PetscFunctionReturn(0);
1157 }
1158 #endif
1159 
1160 PetscErrorCode MatFactorNumeric_MUMPS(Mat F,Mat A,const MatFactorInfo *info)
1161 {
1162   Mat_MUMPS      *mumps =(Mat_MUMPS*)(F)->data;
1163   PetscErrorCode ierr;
1164   PetscBool      isMPIAIJ;
1165 
1166   PetscFunctionBegin;
1167   if (mumps->id.INFOG(1) < 0) {
1168     if (mumps->id.INFOG(1) == -6) {
1169       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);
1170     }
1171     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);
1172     PetscFunctionReturn(0);
1173   }
1174 
1175   ierr = (*mumps->ConvertToTriples)(A, 1, MAT_REUSE_MATRIX, &mumps->nz, &mumps->irn, &mumps->jcn, &mumps->val);CHKERRQ(ierr);
1176 
1177   /* numerical factorization phase */
1178   /*-------------------------------*/
1179   mumps->id.job = JOB_FACTNUMERIC;
1180   if (!mumps->id.ICNTL(18)) { /* A is centralized */
1181     if (!mumps->myid) {
1182       mumps->id.a = (MumpsScalar*)mumps->val;
1183     }
1184   } else {
1185     mumps->id.a_loc = (MumpsScalar*)mumps->val;
1186   }
1187   PetscMUMPS_c(&mumps->id);
1188   if (mumps->id.INFOG(1) < 0) {
1189     if (A->erroriffailure) {
1190       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));
1191     } else {
1192       if (mumps->id.INFOG(1) == -10) { /* numerically singular matrix */
1193         ierr = PetscInfo2(F,"matrix is numerically singular, INFOG(1)=%d, INFO(2)=%d\n",mumps->id.INFOG(1),mumps->id.INFO(2));CHKERRQ(ierr);
1194         F->factorerrortype = MAT_FACTOR_NUMERIC_ZEROPIVOT;
1195       } else if (mumps->id.INFOG(1) == -13) {
1196         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);
1197         F->factorerrortype = MAT_FACTOR_OUTMEMORY;
1198       } else if (mumps->id.INFOG(1) == -8 || mumps->id.INFOG(1) == -9 || (-16 < mumps->id.INFOG(1) && mumps->id.INFOG(1) < -10) ) {
1199         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);
1200         F->factorerrortype = MAT_FACTOR_OUTMEMORY;
1201       } else {
1202         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);
1203         F->factorerrortype = MAT_FACTOR_OTHER;
1204       }
1205     }
1206   }
1207   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));
1208 
1209   (F)->assembled        = PETSC_TRUE;
1210   mumps->matstruc       = SAME_NONZERO_PATTERN;
1211   mumps->schur_factored = PETSC_FALSE;
1212   mumps->schur_inverted = PETSC_FALSE;
1213 
1214   /* just to be sure that ICNTL(19) value returned by a call from MatMumpsGetIcntl is always consistent */
1215   if (!mumps->sym && mumps->id.ICNTL(19) && mumps->id.ICNTL(19) != 1) mumps->id.ICNTL(19) = 3;
1216 
1217   if (mumps->size > 1) {
1218     PetscInt    lsol_loc;
1219     PetscScalar *sol_loc;
1220 
1221     ierr = PetscObjectTypeCompare((PetscObject)A,MATMPIAIJ,&isMPIAIJ);CHKERRQ(ierr);
1222 
1223     /* distributed solution; Create x_seq=sol_loc for repeated use */
1224     if (mumps->x_seq) {
1225       ierr = VecScatterDestroy(&mumps->scat_sol);CHKERRQ(ierr);
1226       ierr = PetscFree2(mumps->id.sol_loc,mumps->id.isol_loc);CHKERRQ(ierr);
1227       ierr = VecDestroy(&mumps->x_seq);CHKERRQ(ierr);
1228     }
1229     lsol_loc = mumps->id.INFO(23); /* length of sol_loc */
1230     ierr = PetscMalloc2(lsol_loc,&sol_loc,lsol_loc,&mumps->id.isol_loc);CHKERRQ(ierr);
1231     mumps->id.lsol_loc = lsol_loc;
1232     mumps->id.sol_loc = (MumpsScalar*)sol_loc;
1233     ierr = VecCreateSeqWithArray(PETSC_COMM_SELF,1,lsol_loc,sol_loc,&mumps->x_seq);CHKERRQ(ierr);
1234   }
1235   PetscFunctionReturn(0);
1236 }
1237 
1238 /* Sets MUMPS options from the options database */
1239 PetscErrorCode PetscSetMUMPSFromOptions(Mat F, Mat A)
1240 {
1241   Mat_MUMPS      *mumps = (Mat_MUMPS*)F->data;
1242   PetscErrorCode ierr;
1243   PetscInt       icntl,info[40],i,ninfo=40;
1244   PetscBool      flg;
1245 
1246   PetscFunctionBegin;
1247   ierr = PetscOptionsBegin(PetscObjectComm((PetscObject)A),((PetscObject)A)->prefix,"MUMPS Options","Mat");CHKERRQ(ierr);
1248   ierr = PetscOptionsInt("-mat_mumps_icntl_1","ICNTL(1): output stream for error messages","None",mumps->id.ICNTL(1),&icntl,&flg);CHKERRQ(ierr);
1249   if (flg) mumps->id.ICNTL(1) = icntl;
1250   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);
1251   if (flg) mumps->id.ICNTL(2) = icntl;
1252   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);
1253   if (flg) mumps->id.ICNTL(3) = icntl;
1254 
1255   ierr = PetscOptionsInt("-mat_mumps_icntl_4","ICNTL(4): level of printing (0 to 4)","None",mumps->id.ICNTL(4),&icntl,&flg);CHKERRQ(ierr);
1256   if (flg) mumps->id.ICNTL(4) = icntl;
1257   if (mumps->id.ICNTL(4) || PetscLogPrintInfo) mumps->id.ICNTL(3) = 6; /* resume MUMPS default id.ICNTL(3) = 6 */
1258 
1259   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);
1260   if (flg) mumps->id.ICNTL(6) = icntl;
1261 
1262   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);
1263   if (flg) {
1264     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");
1265     else mumps->id.ICNTL(7) = icntl;
1266   }
1267 
1268   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);
1269   /* 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() */
1270   ierr = PetscOptionsInt("-mat_mumps_icntl_10","ICNTL(10): max num of refinements","None",mumps->id.ICNTL(10),&mumps->id.ICNTL(10),NULL);CHKERRQ(ierr);
1271   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);
1272   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);
1273   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);
1274   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);
1275   ierr = PetscOptionsInt("-mat_mumps_icntl_19","ICNTL(19): computes the Schur complement","None",mumps->id.ICNTL(19),&mumps->id.ICNTL(19),NULL);CHKERRQ(ierr);
1276   if (mumps->id.ICNTL(19) <= 0 || mumps->id.ICNTL(19) > 3) { /* reset any schur data (if any) */
1277     ierr = MatMumpsResetSchur_Private(mumps);CHKERRQ(ierr);
1278   }
1279   /* 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 */
1280   /* 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 */
1281 
1282   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);
1283   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);
1284   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);
1285   if (mumps->id.ICNTL(24)) {
1286     mumps->id.ICNTL(13) = 1; /* turn-off ScaLAPACK to help with the correct detection of null pivots */
1287   }
1288 
1289   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);
1290   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);
1291   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);
1292   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);
1293   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);
1294   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);
1295   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);
1296   /* 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 */
1297   ierr = PetscOptionsInt("-mat_mumps_icntl_33","ICNTL(33): compute determinant","None",mumps->id.ICNTL(33),&mumps->id.ICNTL(33),NULL);CHKERRQ(ierr);
1298 
1299   ierr = PetscOptionsReal("-mat_mumps_cntl_1","CNTL(1): relative pivoting threshold","None",mumps->id.CNTL(1),&mumps->id.CNTL(1),NULL);CHKERRQ(ierr);
1300   ierr = PetscOptionsReal("-mat_mumps_cntl_2","CNTL(2): stopping criterion of refinement","None",mumps->id.CNTL(2),&mumps->id.CNTL(2),NULL);CHKERRQ(ierr);
1301   ierr = PetscOptionsReal("-mat_mumps_cntl_3","CNTL(3): absolute pivoting threshold","None",mumps->id.CNTL(3),&mumps->id.CNTL(3),NULL);CHKERRQ(ierr);
1302   ierr = PetscOptionsReal("-mat_mumps_cntl_4","CNTL(4): value for static pivoting","None",mumps->id.CNTL(4),&mumps->id.CNTL(4),NULL);CHKERRQ(ierr);
1303   ierr = PetscOptionsReal("-mat_mumps_cntl_5","CNTL(5): fixation for null pivots","None",mumps->id.CNTL(5),&mumps->id.CNTL(5),NULL);CHKERRQ(ierr);
1304 
1305   ierr = PetscOptionsString("-mat_mumps_ooc_tmpdir", "out of core directory", "None", mumps->id.ooc_tmpdir, mumps->id.ooc_tmpdir, 256, NULL);CHKERRQ(ierr);
1306 
1307   ierr = PetscOptionsIntArray("-mat_mumps_view_info","request INFO local to each processor","",info,&ninfo,NULL);CHKERRQ(ierr);
1308   if (ninfo) {
1309     if (ninfo > 40) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_USER,"number of INFO %d must <= 40\n",ninfo);
1310     ierr = PetscMalloc1(ninfo,&mumps->info);CHKERRQ(ierr);
1311     mumps->ninfo = ninfo;
1312     for (i=0; i<ninfo; i++) {
1313       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);
1314       else  mumps->info[i] = info[i];
1315     }
1316   }
1317 
1318   ierr = PetscOptionsEnd();CHKERRQ(ierr);
1319   PetscFunctionReturn(0);
1320 }
1321 
1322 PetscErrorCode PetscInitializeMUMPS(Mat A,Mat_MUMPS *mumps)
1323 {
1324   PetscErrorCode ierr;
1325 
1326   PetscFunctionBegin;
1327   ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)A), &mumps->myid);CHKERRQ(ierr);
1328   ierr = MPI_Comm_size(PetscObjectComm((PetscObject)A),&mumps->size);CHKERRQ(ierr);
1329   ierr = MPI_Comm_dup(PetscObjectComm((PetscObject)A),&(mumps->comm_mumps));CHKERRQ(ierr);
1330 
1331   mumps->id.comm_fortran = MPI_Comm_c2f(mumps->comm_mumps);
1332 
1333   mumps->id.job = JOB_INIT;
1334   mumps->id.par = 1;  /* host participates factorizaton and solve */
1335   mumps->id.sym = mumps->sym;
1336   PetscMUMPS_c(&mumps->id);
1337 
1338   mumps->scat_rhs     = NULL;
1339   mumps->scat_sol     = NULL;
1340 
1341   /* set PETSc-MUMPS default options - override MUMPS default */
1342   mumps->id.ICNTL(3) = 0;
1343   mumps->id.ICNTL(4) = 0;
1344   if (mumps->size == 1) {
1345     mumps->id.ICNTL(18) = 0;   /* centralized assembled matrix input */
1346   } else {
1347     mumps->id.ICNTL(18) = 3;   /* distributed assembled matrix input */
1348     mumps->id.ICNTL(20) = 0;   /* rhs is in dense format */
1349     mumps->id.ICNTL(21) = 1;   /* distributed solution */
1350   }
1351 
1352   /* schur */
1353   mumps->id.size_schur      = 0;
1354   mumps->id.listvar_schur   = NULL;
1355   mumps->id.schur           = NULL;
1356   mumps->sizeredrhs         = 0;
1357   mumps->schur_pivots       = NULL;
1358   mumps->schur_work         = NULL;
1359   mumps->schur_sol          = NULL;
1360   mumps->schur_sizesol      = 0;
1361   mumps->schur_factored     = PETSC_FALSE;
1362   mumps->schur_inverted     = PETSC_FALSE;
1363   mumps->schur_sym          = mumps->id.sym;
1364   PetscFunctionReturn(0);
1365 }
1366 
1367 PetscErrorCode MatFactorSymbolic_MUMPS_ReportIfError(Mat F,Mat A,const MatFactorInfo *info,Mat_MUMPS *mumps)
1368 {
1369   PetscErrorCode ierr;
1370 
1371   PetscFunctionBegin;
1372   if (mumps->id.INFOG(1) < 0) {
1373     if (A->erroriffailure) {
1374       SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error reported by MUMPS in analysis phase: INFOG(1)=%d\n",mumps->id.INFOG(1));
1375     } else {
1376       if (mumps->id.INFOG(1) == -6) {
1377         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);
1378         F->factorerrortype = MAT_FACTOR_STRUCT_ZEROPIVOT;
1379       } else if (mumps->id.INFOG(1) == -5 || mumps->id.INFOG(1) == -7) {
1380         ierr = PetscInfo2(F,"problem of workspace, INFOG(1)=%d, INFO(2)=%d\n",mumps->id.INFOG(1),mumps->id.INFO(2));CHKERRQ(ierr);
1381         F->factorerrortype = MAT_FACTOR_OUTMEMORY;
1382       } else {
1383         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);
1384         F->factorerrortype = MAT_FACTOR_OTHER;
1385       }
1386     }
1387   }
1388   PetscFunctionReturn(0);
1389 }
1390 
1391 /* Note Petsc r(=c) permutation is used when mumps->id.ICNTL(7)==1 with centralized assembled matrix input; otherwise r and c are ignored */
1392 PetscErrorCode MatLUFactorSymbolic_AIJMUMPS(Mat F,Mat A,IS r,IS c,const MatFactorInfo *info)
1393 {
1394   Mat_MUMPS      *mumps = (Mat_MUMPS*)F->data;
1395   PetscErrorCode ierr;
1396   Vec            b;
1397   IS             is_iden;
1398   const PetscInt M = A->rmap->N;
1399 
1400   PetscFunctionBegin;
1401   mumps->matstruc = DIFFERENT_NONZERO_PATTERN;
1402 
1403   /* Set MUMPS options from the options database */
1404   ierr = PetscSetMUMPSFromOptions(F,A);CHKERRQ(ierr);
1405 
1406   ierr = (*mumps->ConvertToTriples)(A, 1, MAT_INITIAL_MATRIX, &mumps->nz, &mumps->irn, &mumps->jcn, &mumps->val);CHKERRQ(ierr);
1407 
1408   /* analysis phase */
1409   /*----------------*/
1410   mumps->id.job = JOB_FACTSYMBOLIC;
1411   mumps->id.n   = M;
1412   switch (mumps->id.ICNTL(18)) {
1413   case 0:  /* centralized assembled matrix input */
1414     if (!mumps->myid) {
1415       mumps->id.nz =mumps->nz; mumps->id.irn=mumps->irn; mumps->id.jcn=mumps->jcn;
1416       if (mumps->id.ICNTL(6)>1) {
1417         mumps->id.a = (MumpsScalar*)mumps->val;
1418       }
1419       if (mumps->id.ICNTL(7) == 1) { /* use user-provide matrix ordering - assuming r = c ordering */
1420         /*
1421         PetscBool      flag;
1422         ierr = ISEqual(r,c,&flag);CHKERRQ(ierr);
1423         if (!flag) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_USER,"row_perm != col_perm");
1424         ierr = ISView(r,PETSC_VIEWER_STDOUT_SELF);
1425          */
1426         if (!mumps->myid) {
1427           const PetscInt *idx;
1428           PetscInt       i,*perm_in;
1429 
1430           ierr = PetscMalloc1(M,&perm_in);CHKERRQ(ierr);
1431           ierr = ISGetIndices(r,&idx);CHKERRQ(ierr);
1432 
1433           mumps->id.perm_in = perm_in;
1434           for (i=0; i<M; i++) perm_in[i] = idx[i]+1; /* perm_in[]: start from 1, not 0! */
1435           ierr = ISRestoreIndices(r,&idx);CHKERRQ(ierr);
1436         }
1437       }
1438     }
1439     break;
1440   case 3:  /* distributed assembled matrix input (size>1) */
1441     mumps->id.nz_loc = mumps->nz;
1442     mumps->id.irn_loc=mumps->irn; mumps->id.jcn_loc=mumps->jcn;
1443     if (mumps->id.ICNTL(6)>1) {
1444       mumps->id.a_loc = (MumpsScalar*)mumps->val;
1445     }
1446     /* MUMPS only supports centralized rhs. Create scatter scat_rhs for repeated use in MatSolve() */
1447     if (!mumps->myid) {
1448       ierr = VecCreateSeq(PETSC_COMM_SELF,A->rmap->N,&mumps->b_seq);CHKERRQ(ierr);
1449       ierr = ISCreateStride(PETSC_COMM_SELF,A->rmap->N,0,1,&is_iden);CHKERRQ(ierr);
1450     } else {
1451       ierr = VecCreateSeq(PETSC_COMM_SELF,0,&mumps->b_seq);CHKERRQ(ierr);
1452       ierr = ISCreateStride(PETSC_COMM_SELF,0,0,1,&is_iden);CHKERRQ(ierr);
1453     }
1454     ierr = MatCreateVecs(A,NULL,&b);CHKERRQ(ierr);
1455     ierr = VecScatterCreate(b,is_iden,mumps->b_seq,is_iden,&mumps->scat_rhs);CHKERRQ(ierr);
1456     ierr = ISDestroy(&is_iden);CHKERRQ(ierr);
1457     ierr = VecDestroy(&b);CHKERRQ(ierr);
1458     break;
1459   }
1460   PetscMUMPS_c(&mumps->id);
1461   ierr = MatFactorSymbolic_MUMPS_ReportIfError(F,A,info,mumps);CHKERRQ(ierr);
1462 
1463   F->ops->lufactornumeric = MatFactorNumeric_MUMPS;
1464   F->ops->solve           = MatSolve_MUMPS;
1465   F->ops->solvetranspose  = MatSolveTranspose_MUMPS;
1466   F->ops->matsolve        = MatMatSolve_MUMPS;
1467   PetscFunctionReturn(0);
1468 }
1469 
1470 /* Note the Petsc r and c permutations are ignored */
1471 PetscErrorCode MatLUFactorSymbolic_BAIJMUMPS(Mat F,Mat A,IS r,IS c,const MatFactorInfo *info)
1472 {
1473   Mat_MUMPS      *mumps = (Mat_MUMPS*)F->data;
1474   PetscErrorCode ierr;
1475   Vec            b;
1476   IS             is_iden;
1477   const PetscInt M = A->rmap->N;
1478 
1479   PetscFunctionBegin;
1480   mumps->matstruc = DIFFERENT_NONZERO_PATTERN;
1481 
1482   /* Set MUMPS options from the options database */
1483   ierr = PetscSetMUMPSFromOptions(F,A);CHKERRQ(ierr);
1484 
1485   ierr = (*mumps->ConvertToTriples)(A, 1, MAT_INITIAL_MATRIX, &mumps->nz, &mumps->irn, &mumps->jcn, &mumps->val);CHKERRQ(ierr);
1486 
1487   /* analysis phase */
1488   /*----------------*/
1489   mumps->id.job = JOB_FACTSYMBOLIC;
1490   mumps->id.n   = M;
1491   switch (mumps->id.ICNTL(18)) {
1492   case 0:  /* centralized assembled matrix input */
1493     if (!mumps->myid) {
1494       mumps->id.nz =mumps->nz; mumps->id.irn=mumps->irn; mumps->id.jcn=mumps->jcn;
1495       if (mumps->id.ICNTL(6)>1) {
1496         mumps->id.a = (MumpsScalar*)mumps->val;
1497       }
1498     }
1499     break;
1500   case 3:  /* distributed assembled matrix input (size>1) */
1501     mumps->id.nz_loc = mumps->nz;
1502     mumps->id.irn_loc=mumps->irn; mumps->id.jcn_loc=mumps->jcn;
1503     if (mumps->id.ICNTL(6)>1) {
1504       mumps->id.a_loc = (MumpsScalar*)mumps->val;
1505     }
1506     /* MUMPS only supports centralized rhs. Create scatter scat_rhs for repeated use in MatSolve() */
1507     if (!mumps->myid) {
1508       ierr = VecCreateSeq(PETSC_COMM_SELF,A->cmap->N,&mumps->b_seq);CHKERRQ(ierr);
1509       ierr = ISCreateStride(PETSC_COMM_SELF,A->cmap->N,0,1,&is_iden);CHKERRQ(ierr);
1510     } else {
1511       ierr = VecCreateSeq(PETSC_COMM_SELF,0,&mumps->b_seq);CHKERRQ(ierr);
1512       ierr = ISCreateStride(PETSC_COMM_SELF,0,0,1,&is_iden);CHKERRQ(ierr);
1513     }
1514     ierr = MatCreateVecs(A,NULL,&b);CHKERRQ(ierr);
1515     ierr = VecScatterCreate(b,is_iden,mumps->b_seq,is_iden,&mumps->scat_rhs);CHKERRQ(ierr);
1516     ierr = ISDestroy(&is_iden);CHKERRQ(ierr);
1517     ierr = VecDestroy(&b);CHKERRQ(ierr);
1518     break;
1519   }
1520   PetscMUMPS_c(&mumps->id);
1521   ierr = MatFactorSymbolic_MUMPS_ReportIfError(F,A,info,mumps);CHKERRQ(ierr);
1522 
1523   F->ops->lufactornumeric = MatFactorNumeric_MUMPS;
1524   F->ops->solve           = MatSolve_MUMPS;
1525   F->ops->solvetranspose  = MatSolveTranspose_MUMPS;
1526   PetscFunctionReturn(0);
1527 }
1528 
1529 /* Note the Petsc r permutation and factor info are ignored */
1530 PetscErrorCode MatCholeskyFactorSymbolic_MUMPS(Mat F,Mat A,IS r,const MatFactorInfo *info)
1531 {
1532   Mat_MUMPS      *mumps = (Mat_MUMPS*)F->data;
1533   PetscErrorCode ierr;
1534   Vec            b;
1535   IS             is_iden;
1536   const PetscInt M = A->rmap->N;
1537 
1538   PetscFunctionBegin;
1539   mumps->matstruc = DIFFERENT_NONZERO_PATTERN;
1540 
1541   /* Set MUMPS options from the options database */
1542   ierr = PetscSetMUMPSFromOptions(F,A);CHKERRQ(ierr);
1543 
1544   ierr = (*mumps->ConvertToTriples)(A, 1, MAT_INITIAL_MATRIX, &mumps->nz, &mumps->irn, &mumps->jcn, &mumps->val);CHKERRQ(ierr);
1545 
1546   /* analysis phase */
1547   /*----------------*/
1548   mumps->id.job = JOB_FACTSYMBOLIC;
1549   mumps->id.n   = M;
1550   switch (mumps->id.ICNTL(18)) {
1551   case 0:  /* centralized assembled matrix input */
1552     if (!mumps->myid) {
1553       mumps->id.nz =mumps->nz; mumps->id.irn=mumps->irn; mumps->id.jcn=mumps->jcn;
1554       if (mumps->id.ICNTL(6)>1) {
1555         mumps->id.a = (MumpsScalar*)mumps->val;
1556       }
1557     }
1558     break;
1559   case 3:  /* distributed assembled matrix input (size>1) */
1560     mumps->id.nz_loc = mumps->nz;
1561     mumps->id.irn_loc=mumps->irn; mumps->id.jcn_loc=mumps->jcn;
1562     if (mumps->id.ICNTL(6)>1) {
1563       mumps->id.a_loc = (MumpsScalar*)mumps->val;
1564     }
1565     /* MUMPS only supports centralized rhs. Create scatter scat_rhs for repeated use in MatSolve() */
1566     if (!mumps->myid) {
1567       ierr = VecCreateSeq(PETSC_COMM_SELF,A->cmap->N,&mumps->b_seq);CHKERRQ(ierr);
1568       ierr = ISCreateStride(PETSC_COMM_SELF,A->cmap->N,0,1,&is_iden);CHKERRQ(ierr);
1569     } else {
1570       ierr = VecCreateSeq(PETSC_COMM_SELF,0,&mumps->b_seq);CHKERRQ(ierr);
1571       ierr = ISCreateStride(PETSC_COMM_SELF,0,0,1,&is_iden);CHKERRQ(ierr);
1572     }
1573     ierr = MatCreateVecs(A,NULL,&b);CHKERRQ(ierr);
1574     ierr = VecScatterCreate(b,is_iden,mumps->b_seq,is_iden,&mumps->scat_rhs);CHKERRQ(ierr);
1575     ierr = ISDestroy(&is_iden);CHKERRQ(ierr);
1576     ierr = VecDestroy(&b);CHKERRQ(ierr);
1577     break;
1578   }
1579   PetscMUMPS_c(&mumps->id);
1580   ierr = MatFactorSymbolic_MUMPS_ReportIfError(F,A,info,mumps);CHKERRQ(ierr);
1581 
1582   F->ops->choleskyfactornumeric = MatFactorNumeric_MUMPS;
1583   F->ops->solve                 = MatSolve_MUMPS;
1584   F->ops->solvetranspose        = MatSolve_MUMPS;
1585   F->ops->matsolve              = MatMatSolve_MUMPS;
1586 #if defined(PETSC_USE_COMPLEX)
1587   F->ops->getinertia = NULL;
1588 #else
1589   F->ops->getinertia = MatGetInertia_SBAIJMUMPS;
1590 #endif
1591   PetscFunctionReturn(0);
1592 }
1593 
1594 PetscErrorCode MatView_MUMPS(Mat A,PetscViewer viewer)
1595 {
1596   PetscErrorCode    ierr;
1597   PetscBool         iascii;
1598   PetscViewerFormat format;
1599   Mat_MUMPS         *mumps=(Mat_MUMPS*)A->data;
1600 
1601   PetscFunctionBegin;
1602   /* check if matrix is mumps type */
1603   if (A->ops->solve != MatSolve_MUMPS) PetscFunctionReturn(0);
1604 
1605   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&iascii);CHKERRQ(ierr);
1606   if (iascii) {
1607     ierr = PetscViewerGetFormat(viewer,&format);CHKERRQ(ierr);
1608     if (format == PETSC_VIEWER_ASCII_INFO) {
1609       ierr = PetscViewerASCIIPrintf(viewer,"MUMPS run parameters:\n");CHKERRQ(ierr);
1610       ierr = PetscViewerASCIIPrintf(viewer,"  SYM (matrix type):                   %d \n",mumps->id.sym);CHKERRQ(ierr);
1611       ierr = PetscViewerASCIIPrintf(viewer,"  PAR (host participation):            %d \n",mumps->id.par);CHKERRQ(ierr);
1612       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(1) (output for error):         %d \n",mumps->id.ICNTL(1));CHKERRQ(ierr);
1613       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(2) (output of diagnostic msg): %d \n",mumps->id.ICNTL(2));CHKERRQ(ierr);
1614       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(3) (output for global info):   %d \n",mumps->id.ICNTL(3));CHKERRQ(ierr);
1615       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(4) (level of printing):        %d \n",mumps->id.ICNTL(4));CHKERRQ(ierr);
1616       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(5) (input mat struct):         %d \n",mumps->id.ICNTL(5));CHKERRQ(ierr);
1617       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(6) (matrix prescaling):        %d \n",mumps->id.ICNTL(6));CHKERRQ(ierr);
1618       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(7) (sequential matrix ordering):%d \n",mumps->id.ICNTL(7));CHKERRQ(ierr);
1619       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(8) (scaling strategy):        %d \n",mumps->id.ICNTL(8));CHKERRQ(ierr);
1620       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(10) (max num of refinements):  %d \n",mumps->id.ICNTL(10));CHKERRQ(ierr);
1621       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(11) (error analysis):          %d \n",mumps->id.ICNTL(11));CHKERRQ(ierr);
1622       if (mumps->id.ICNTL(11)>0) {
1623         ierr = PetscViewerASCIIPrintf(viewer,"    RINFOG(4) (inf norm of input mat):        %g\n",mumps->id.RINFOG(4));CHKERRQ(ierr);
1624         ierr = PetscViewerASCIIPrintf(viewer,"    RINFOG(5) (inf norm of solution):         %g\n",mumps->id.RINFOG(5));CHKERRQ(ierr);
1625         ierr = PetscViewerASCIIPrintf(viewer,"    RINFOG(6) (inf norm of residual):         %g\n",mumps->id.RINFOG(6));CHKERRQ(ierr);
1626         ierr = PetscViewerASCIIPrintf(viewer,"    RINFOG(7),RINFOG(8) (backward error est): %g, %g\n",mumps->id.RINFOG(7),mumps->id.RINFOG(8));CHKERRQ(ierr);
1627         ierr = PetscViewerASCIIPrintf(viewer,"    RINFOG(9) (error estimate):               %g \n",mumps->id.RINFOG(9));CHKERRQ(ierr);
1628         ierr = PetscViewerASCIIPrintf(viewer,"    RINFOG(10),RINFOG(11)(condition numbers): %g, %g\n",mumps->id.RINFOG(10),mumps->id.RINFOG(11));CHKERRQ(ierr);
1629       }
1630       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(12) (efficiency control):                         %d \n",mumps->id.ICNTL(12));CHKERRQ(ierr);
1631       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(13) (efficiency control):                         %d \n",mumps->id.ICNTL(13));CHKERRQ(ierr);
1632       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(14) (percentage of estimated workspace increase): %d \n",mumps->id.ICNTL(14));CHKERRQ(ierr);
1633       /* ICNTL(15-17) not used */
1634       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(18) (input mat struct):                           %d \n",mumps->id.ICNTL(18));CHKERRQ(ierr);
1635       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(19) (Schur complement info):                       %d \n",mumps->id.ICNTL(19));CHKERRQ(ierr);
1636       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(20) (rhs sparse pattern):                         %d \n",mumps->id.ICNTL(20));CHKERRQ(ierr);
1637       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(21) (solution struct):                            %d \n",mumps->id.ICNTL(21));CHKERRQ(ierr);
1638       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(22) (in-core/out-of-core facility):               %d \n",mumps->id.ICNTL(22));CHKERRQ(ierr);
1639       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(23) (max size of memory can be allocated locally):%d \n",mumps->id.ICNTL(23));CHKERRQ(ierr);
1640 
1641       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(24) (detection of null pivot rows):               %d \n",mumps->id.ICNTL(24));CHKERRQ(ierr);
1642       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(25) (computation of a null space basis):          %d \n",mumps->id.ICNTL(25));CHKERRQ(ierr);
1643       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(26) (Schur options for rhs or solution):          %d \n",mumps->id.ICNTL(26));CHKERRQ(ierr);
1644       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(27) (experimental parameter):                     %d \n",mumps->id.ICNTL(27));CHKERRQ(ierr);
1645       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(28) (use parallel or sequential ordering):        %d \n",mumps->id.ICNTL(28));CHKERRQ(ierr);
1646       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(29) (parallel ordering):                          %d \n",mumps->id.ICNTL(29));CHKERRQ(ierr);
1647 
1648       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(30) (user-specified set of entries in inv(A)):    %d \n",mumps->id.ICNTL(30));CHKERRQ(ierr);
1649       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(31) (factors is discarded in the solve phase):    %d \n",mumps->id.ICNTL(31));CHKERRQ(ierr);
1650       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(33) (compute determinant):                        %d \n",mumps->id.ICNTL(33));CHKERRQ(ierr);
1651 
1652       ierr = PetscViewerASCIIPrintf(viewer,"  CNTL(1) (relative pivoting threshold):      %g \n",mumps->id.CNTL(1));CHKERRQ(ierr);
1653       ierr = PetscViewerASCIIPrintf(viewer,"  CNTL(2) (stopping criterion of refinement): %g \n",mumps->id.CNTL(2));CHKERRQ(ierr);
1654       ierr = PetscViewerASCIIPrintf(viewer,"  CNTL(3) (absolute pivoting threshold):      %g \n",mumps->id.CNTL(3));CHKERRQ(ierr);
1655       ierr = PetscViewerASCIIPrintf(viewer,"  CNTL(4) (value of static pivoting):         %g \n",mumps->id.CNTL(4));CHKERRQ(ierr);
1656       ierr = PetscViewerASCIIPrintf(viewer,"  CNTL(5) (fixation for null pivots):         %g \n",mumps->id.CNTL(5));CHKERRQ(ierr);
1657 
1658       /* infomation local to each processor */
1659       ierr = PetscViewerASCIIPrintf(viewer, "  RINFO(1) (local estimated flops for the elimination after analysis): \n");CHKERRQ(ierr);
1660       ierr = PetscViewerASCIIPushSynchronized(viewer);CHKERRQ(ierr);
1661       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"    [%d] %g \n",mumps->myid,mumps->id.RINFO(1));CHKERRQ(ierr);
1662       ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
1663       ierr = PetscViewerASCIIPrintf(viewer, "  RINFO(2) (local estimated flops for the assembly after factorization): \n");CHKERRQ(ierr);
1664       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"    [%d]  %g \n",mumps->myid,mumps->id.RINFO(2));CHKERRQ(ierr);
1665       ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
1666       ierr = PetscViewerASCIIPrintf(viewer, "  RINFO(3) (local estimated flops for the elimination after factorization): \n");CHKERRQ(ierr);
1667       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"    [%d]  %g \n",mumps->myid,mumps->id.RINFO(3));CHKERRQ(ierr);
1668       ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
1669 
1670       ierr = PetscViewerASCIIPrintf(viewer, "  INFO(15) (estimated size of (in MB) MUMPS internal data for running numerical factorization): \n");CHKERRQ(ierr);
1671       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"  [%d] %d \n",mumps->myid,mumps->id.INFO(15));CHKERRQ(ierr);
1672       ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
1673 
1674       ierr = PetscViewerASCIIPrintf(viewer, "  INFO(16) (size of (in MB) MUMPS internal data used during numerical factorization): \n");CHKERRQ(ierr);
1675       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"    [%d] %d \n",mumps->myid,mumps->id.INFO(16));CHKERRQ(ierr);
1676       ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
1677 
1678       ierr = PetscViewerASCIIPrintf(viewer, "  INFO(23) (num of pivots eliminated on this processor after factorization): \n");CHKERRQ(ierr);
1679       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"    [%d] %d \n",mumps->myid,mumps->id.INFO(23));CHKERRQ(ierr);
1680       ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
1681 
1682       if (mumps->ninfo && mumps->ninfo <= 40){
1683         PetscInt i;
1684         for (i=0; i<mumps->ninfo; i++){
1685           ierr = PetscViewerASCIIPrintf(viewer, "  INFO(%d): \n",mumps->info[i]);CHKERRQ(ierr);
1686           ierr = PetscViewerASCIISynchronizedPrintf(viewer,"    [%d] %d \n",mumps->myid,mumps->id.INFO(mumps->info[i]));CHKERRQ(ierr);
1687           ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
1688         }
1689       }
1690 
1691 
1692       ierr = PetscViewerASCIIPopSynchronized(viewer);CHKERRQ(ierr);
1693 
1694       if (!mumps->myid) { /* information from the host */
1695         ierr = PetscViewerASCIIPrintf(viewer,"  RINFOG(1) (global estimated flops for the elimination after analysis): %g \n",mumps->id.RINFOG(1));CHKERRQ(ierr);
1696         ierr = PetscViewerASCIIPrintf(viewer,"  RINFOG(2) (global estimated flops for the assembly after factorization): %g \n",mumps->id.RINFOG(2));CHKERRQ(ierr);
1697         ierr = PetscViewerASCIIPrintf(viewer,"  RINFOG(3) (global estimated flops for the elimination after factorization): %g \n",mumps->id.RINFOG(3));CHKERRQ(ierr);
1698         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);
1699 
1700         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(3) (estimated real workspace for factors on all processors after analysis): %d \n",mumps->id.INFOG(3));CHKERRQ(ierr);
1701         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(4) (estimated integer workspace for factors on all processors after analysis): %d \n",mumps->id.INFOG(4));CHKERRQ(ierr);
1702         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(5) (estimated maximum front size in the complete tree): %d \n",mumps->id.INFOG(5));CHKERRQ(ierr);
1703         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(6) (number of nodes in the complete tree): %d \n",mumps->id.INFOG(6));CHKERRQ(ierr);
1704         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(7) (ordering option effectively use after analysis): %d \n",mumps->id.INFOG(7));CHKERRQ(ierr);
1705         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(8) (structural symmetry in percent of the permuted matrix after analysis): %d \n",mumps->id.INFOG(8));CHKERRQ(ierr);
1706         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(9) (total real/complex workspace to store the matrix factors after factorization): %d \n",mumps->id.INFOG(9));CHKERRQ(ierr);
1707         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(10) (total integer space store the matrix factors after factorization): %d \n",mumps->id.INFOG(10));CHKERRQ(ierr);
1708         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(11) (order of largest frontal matrix after factorization): %d \n",mumps->id.INFOG(11));CHKERRQ(ierr);
1709         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(12) (number of off-diagonal pivots): %d \n",mumps->id.INFOG(12));CHKERRQ(ierr);
1710         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(13) (number of delayed pivots after factorization): %d \n",mumps->id.INFOG(13));CHKERRQ(ierr);
1711         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(14) (number of memory compress after factorization): %d \n",mumps->id.INFOG(14));CHKERRQ(ierr);
1712         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(15) (number of steps of iterative refinement after solution): %d \n",mumps->id.INFOG(15));CHKERRQ(ierr);
1713         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);
1714         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);
1715         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);
1716         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);
1717         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(20) (estimated number of entries in the factors): %d \n",mumps->id.INFOG(20));CHKERRQ(ierr);
1718         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);
1719         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);
1720         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(23) (after analysis: value of ICNTL(6) effectively used): %d \n",mumps->id.INFOG(23));CHKERRQ(ierr);
1721         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(24) (after analysis: value of ICNTL(12) effectively used): %d \n",mumps->id.INFOG(24));CHKERRQ(ierr);
1722         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(25) (after factorization: number of pivots modified by static pivoting): %d \n",mumps->id.INFOG(25));CHKERRQ(ierr);
1723         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(28) (after factorization: number of null pivots encountered): %d\n",mumps->id.INFOG(28));CHKERRQ(ierr);
1724         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);
1725         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);
1726         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(32) (after analysis: type of analysis done): %d\n",mumps->id.INFOG(32));CHKERRQ(ierr);
1727         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(33) (value used for ICNTL(8)): %d\n",mumps->id.INFOG(33));CHKERRQ(ierr);
1728         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(34) (exponent of the determinant if determinant is requested): %d\n",mumps->id.INFOG(34));CHKERRQ(ierr);
1729       }
1730     }
1731   }
1732   PetscFunctionReturn(0);
1733 }
1734 
1735 PetscErrorCode MatGetInfo_MUMPS(Mat A,MatInfoType flag,MatInfo *info)
1736 {
1737   Mat_MUMPS *mumps =(Mat_MUMPS*)A->data;
1738 
1739   PetscFunctionBegin;
1740   info->block_size        = 1.0;
1741   info->nz_allocated      = mumps->id.INFOG(20);
1742   info->nz_used           = mumps->id.INFOG(20);
1743   info->nz_unneeded       = 0.0;
1744   info->assemblies        = 0.0;
1745   info->mallocs           = 0.0;
1746   info->memory            = 0.0;
1747   info->fill_ratio_given  = 0;
1748   info->fill_ratio_needed = 0;
1749   info->factor_mallocs    = 0;
1750   PetscFunctionReturn(0);
1751 }
1752 
1753 /* -------------------------------------------------------------------------------------------*/
1754 PetscErrorCode MatFactorSetSchurIS_MUMPS(Mat F, IS is)
1755 {
1756   Mat_MUMPS      *mumps =(Mat_MUMPS*)F->data;
1757   const PetscInt *idxs;
1758   PetscInt       size,i;
1759   PetscErrorCode ierr;
1760 
1761   PetscFunctionBegin;
1762   if (mumps->size > 1) {
1763     PetscBool ls,gs;
1764 
1765     ierr = ISGetLocalSize(is,&size);CHKERRQ(ierr);
1766     ls   = mumps->myid ? (size ? PETSC_FALSE : PETSC_TRUE) : PETSC_TRUE;
1767     ierr = MPI_Allreduce(&ls,&gs,1,MPIU_BOOL,MPI_LAND,mumps->comm_mumps);CHKERRQ(ierr);
1768     if (!gs) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"MUMPS distributed parallel Schur complements not yet supported from PETSc\n");
1769   }
1770   ierr = ISGetLocalSize(is,&size);CHKERRQ(ierr);
1771   if (mumps->id.size_schur != size) {
1772     ierr = PetscFree2(mumps->id.listvar_schur,mumps->id.schur);CHKERRQ(ierr);
1773     mumps->id.size_schur = size;
1774     mumps->id.schur_lld = size;
1775     ierr = PetscMalloc2(size,&mumps->id.listvar_schur,size*size,&mumps->id.schur);CHKERRQ(ierr);
1776   }
1777   ierr = ISGetIndices(is,&idxs);CHKERRQ(ierr);
1778   ierr = PetscMemcpy(mumps->id.listvar_schur,idxs,size*sizeof(PetscInt));CHKERRQ(ierr);
1779   /* MUMPS expects Fortran style indices */
1780   for (i=0;i<size;i++) mumps->id.listvar_schur[i]++;
1781   ierr = ISRestoreIndices(is,&idxs);CHKERRQ(ierr);
1782   if (mumps->size > 1) {
1783     mumps->id.ICNTL(19) = 1; /* MUMPS returns Schur centralized on the host */
1784   } else {
1785     if (F->factortype == MAT_FACTOR_LU) {
1786       mumps->id.ICNTL(19) = 3; /* MUMPS returns full matrix */
1787     } else {
1788       mumps->id.ICNTL(19) = 2; /* MUMPS returns lower triangular part */
1789     }
1790   }
1791   /* set a special value of ICNTL (not handled my MUMPS) to be used in the solve phase by PETSc */
1792   mumps->id.ICNTL(26) = -1;
1793   PetscFunctionReturn(0);
1794 }
1795 
1796 /* -------------------------------------------------------------------------------------------*/
1797 PetscErrorCode MatFactorCreateSchurComplement_MUMPS(Mat F,Mat* S)
1798 {
1799   Mat            St;
1800   Mat_MUMPS      *mumps =(Mat_MUMPS*)F->data;
1801   PetscScalar    *array;
1802 #if defined(PETSC_USE_COMPLEX)
1803   PetscScalar    im = PetscSqrtScalar((PetscScalar)-1.0);
1804 #endif
1805   PetscErrorCode ierr;
1806 
1807   PetscFunctionBegin;
1808   if (!mumps->id.ICNTL(19)) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur complement mode not selected! You should call MatFactorSetSchurIS to enable it");
1809   ierr = MatCreate(PETSC_COMM_SELF,&St);CHKERRQ(ierr);
1810   ierr = MatSetSizes(St,PETSC_DECIDE,PETSC_DECIDE,mumps->id.size_schur,mumps->id.size_schur);CHKERRQ(ierr);
1811   ierr = MatSetType(St,MATDENSE);CHKERRQ(ierr);
1812   ierr = MatSetUp(St);CHKERRQ(ierr);
1813   ierr = MatDenseGetArray(St,&array);CHKERRQ(ierr);
1814   if (!mumps->sym) { /* MUMPS always return a full matrix */
1815     if (mumps->id.ICNTL(19) == 1) { /* stored by rows */
1816       PetscInt i,j,N=mumps->id.size_schur;
1817       for (i=0;i<N;i++) {
1818         for (j=0;j<N;j++) {
1819 #if !defined(PETSC_USE_COMPLEX)
1820           PetscScalar val = mumps->id.schur[i*N+j];
1821 #else
1822           PetscScalar val = mumps->id.schur[i*N+j].r + im*mumps->id.schur[i*N+j].i;
1823 #endif
1824           array[j*N+i] = val;
1825         }
1826       }
1827     } else { /* stored by columns */
1828       ierr = PetscMemcpy(array,mumps->id.schur,mumps->id.size_schur*mumps->id.size_schur*sizeof(PetscScalar));CHKERRQ(ierr);
1829     }
1830   } else { /* either full or lower-triangular (not packed) */
1831     if (mumps->id.ICNTL(19) == 2) { /* lower triangular stored by columns */
1832       PetscInt i,j,N=mumps->id.size_schur;
1833       for (i=0;i<N;i++) {
1834         for (j=i;j<N;j++) {
1835 #if !defined(PETSC_USE_COMPLEX)
1836           PetscScalar val = mumps->id.schur[i*N+j];
1837 #else
1838           PetscScalar val = mumps->id.schur[i*N+j].r + im*mumps->id.schur[i*N+j].i;
1839 #endif
1840           array[i*N+j] = val;
1841           array[j*N+i] = val;
1842         }
1843       }
1844     } else if (mumps->id.ICNTL(19) == 3) { /* full matrix */
1845       ierr = PetscMemcpy(array,mumps->id.schur,mumps->id.size_schur*mumps->id.size_schur*sizeof(PetscScalar));CHKERRQ(ierr);
1846     } else { /* ICNTL(19) == 1 lower triangular stored by rows */
1847       PetscInt i,j,N=mumps->id.size_schur;
1848       for (i=0;i<N;i++) {
1849         for (j=0;j<i+1;j++) {
1850 #if !defined(PETSC_USE_COMPLEX)
1851           PetscScalar val = mumps->id.schur[i*N+j];
1852 #else
1853           PetscScalar val = mumps->id.schur[i*N+j].r + im*mumps->id.schur[i*N+j].i;
1854 #endif
1855           array[i*N+j] = val;
1856           array[j*N+i] = val;
1857         }
1858       }
1859     }
1860   }
1861   ierr = MatDenseRestoreArray(St,&array);CHKERRQ(ierr);
1862   *S = St;
1863   PetscFunctionReturn(0);
1864 }
1865 
1866 /* -------------------------------------------------------------------------------------------*/
1867 PetscErrorCode MatFactorGetSchurComplement_MUMPS(Mat F,Mat* S)
1868 {
1869   Mat            St;
1870   Mat_MUMPS      *mumps =(Mat_MUMPS*)F->data;
1871   PetscErrorCode ierr;
1872 
1873   PetscFunctionBegin;
1874   if (!mumps->id.ICNTL(19)) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur complement mode not selected! You should call MatFactorSetSchurIS to enable it");
1875   /* 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 */
1876   ierr = MatCreateSeqDense(PETSC_COMM_SELF,mumps->id.size_schur,mumps->id.size_schur,(PetscScalar*)mumps->id.schur,&St);CHKERRQ(ierr);
1877   *S = St;
1878   PetscFunctionReturn(0);
1879 }
1880 
1881 /* -------------------------------------------------------------------------------------------*/
1882 PetscErrorCode MatFactorFactorizeSchurComplement_MUMPS(Mat F)
1883 {
1884   Mat_MUMPS      *mumps =(Mat_MUMPS*)F->data;
1885   PetscErrorCode ierr;
1886 
1887   PetscFunctionBegin;
1888   if (!mumps->id.ICNTL(19)) { /* do nothing */
1889     PetscFunctionReturn(0);
1890   }
1891   if (mumps->size > 1) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_SUP,"Parallel Schur complement not yet supported from PETSc");
1892   ierr = MatMumpsFactorSchur_Private(mumps);CHKERRQ(ierr);
1893   PetscFunctionReturn(0);
1894 }
1895 
1896 PetscErrorCode MatFactorInvertSchurComplement_MUMPS(Mat F)
1897 {
1898   Mat_MUMPS      *mumps =(Mat_MUMPS*)F->data;
1899   PetscErrorCode ierr;
1900 
1901   PetscFunctionBegin;
1902   if (!mumps->id.ICNTL(19)) { /* do nothing */
1903     PetscFunctionReturn(0);
1904   }
1905   if (mumps->size > 1) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_SUP,"Parallel Schur complement not yet supported from PETSc");
1906   ierr = MatMumpsInvertSchur_Private(mumps);CHKERRQ(ierr);
1907   PetscFunctionReturn(0);
1908 }
1909 
1910 /* -------------------------------------------------------------------------------------------*/
1911 PetscErrorCode MatFactorSolveSchurComplement_MUMPS(Mat F, Vec rhs, Vec sol)
1912 {
1913   Mat_MUMPS      *mumps =(Mat_MUMPS*)F->data;
1914   MumpsScalar    *orhs;
1915   PetscScalar    *osol,*nrhs,*nsol;
1916   PetscInt       orhs_size,osol_size,olrhs_size;
1917   PetscErrorCode ierr;
1918 
1919   PetscFunctionBegin;
1920   if (!mumps->id.ICNTL(19)) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur complement mode not selected! You should call MatFactorSetSchurIS to enable it");
1921   if (mumps->size > 1) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_SUP,"Parallel Schur complement not yet supported from PETSc");
1922 
1923   /* swap pointers */
1924   orhs = mumps->id.redrhs;
1925   olrhs_size = mumps->id.lredrhs;
1926   orhs_size = mumps->sizeredrhs;
1927   osol = mumps->schur_sol;
1928   osol_size = mumps->schur_sizesol;
1929   ierr = VecGetArray(rhs,&nrhs);CHKERRQ(ierr);
1930   ierr = VecGetArray(sol,&nsol);CHKERRQ(ierr);
1931   mumps->id.redrhs = (MumpsScalar*)nrhs;
1932   ierr = VecGetLocalSize(rhs,&mumps->sizeredrhs);CHKERRQ(ierr);
1933   mumps->id.lredrhs = mumps->sizeredrhs;
1934   mumps->schur_sol = nsol;
1935   ierr = VecGetLocalSize(sol,&mumps->schur_sizesol);CHKERRQ(ierr);
1936 
1937   /* solve Schur complement */
1938   mumps->id.nrhs = 1;
1939   ierr = MatMumpsSolveSchur_Private(mumps,PETSC_FALSE);CHKERRQ(ierr);
1940   /* restore pointers */
1941   ierr = VecRestoreArray(rhs,&nrhs);CHKERRQ(ierr);
1942   ierr = VecRestoreArray(sol,&nsol);CHKERRQ(ierr);
1943   mumps->id.redrhs = orhs;
1944   mumps->id.lredrhs = olrhs_size;
1945   mumps->sizeredrhs = orhs_size;
1946   mumps->schur_sol = osol;
1947   mumps->schur_sizesol = osol_size;
1948   PetscFunctionReturn(0);
1949 }
1950 
1951 /* -------------------------------------------------------------------------------------------*/
1952 PetscErrorCode MatFactorSolveSchurComplementTranspose_MUMPS(Mat F, Vec rhs, Vec sol)
1953 {
1954   Mat_MUMPS      *mumps =(Mat_MUMPS*)F->data;
1955   MumpsScalar    *orhs;
1956   PetscScalar    *osol,*nrhs,*nsol;
1957   PetscInt       orhs_size,osol_size;
1958   PetscErrorCode ierr;
1959 
1960   PetscFunctionBegin;
1961   if (!mumps->id.ICNTL(19)) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur complement mode not selected! You should call MatFactorSetSchurIS to enable it");
1962   if (mumps->size > 1) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_SUP,"Parallel Schur complement not yet supported from PETSc");
1963 
1964   /* swap pointers */
1965   orhs = mumps->id.redrhs;
1966   orhs_size = mumps->sizeredrhs;
1967   osol = mumps->schur_sol;
1968   osol_size = mumps->schur_sizesol;
1969   ierr = VecGetArray(rhs,&nrhs);CHKERRQ(ierr);
1970   ierr = VecGetArray(sol,&nsol);CHKERRQ(ierr);
1971   mumps->id.redrhs = (MumpsScalar*)nrhs;
1972   ierr = VecGetLocalSize(rhs,&mumps->sizeredrhs);CHKERRQ(ierr);
1973   mumps->schur_sol = nsol;
1974   ierr = VecGetLocalSize(sol,&mumps->schur_sizesol);CHKERRQ(ierr);
1975 
1976   /* solve Schur complement */
1977   mumps->id.nrhs = 1;
1978   mumps->id.ICNTL(9) = 0;
1979   ierr = MatMumpsSolveSchur_Private(mumps,PETSC_FALSE);CHKERRQ(ierr);
1980   mumps->id.ICNTL(9) = 1;
1981   /* restore pointers */
1982   ierr = VecRestoreArray(rhs,&nrhs);CHKERRQ(ierr);
1983   ierr = VecRestoreArray(sol,&nsol);CHKERRQ(ierr);
1984   mumps->id.redrhs = orhs;
1985   mumps->sizeredrhs = orhs_size;
1986   mumps->schur_sol = osol;
1987   mumps->schur_sizesol = osol_size;
1988   PetscFunctionReturn(0);
1989 }
1990 
1991 /* -------------------------------------------------------------------------------------------*/
1992 PetscErrorCode MatFactorSetSchurComplementSolverType_MUMPS(Mat F, PetscInt sym)
1993 {
1994   Mat_MUMPS *mumps =(Mat_MUMPS*)F->data;
1995 
1996   PetscFunctionBegin;
1997   if (mumps->schur_factored && mumps->sym != mumps->schur_sym) {
1998     SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ARG_WRONG,"Cannot change the Schur solver! Schur complement data has been already factored");
1999   }
2000   mumps->schur_sym = sym;
2001   PetscFunctionReturn(0);
2002 }
2003 
2004 /* -------------------------------------------------------------------------------------------*/
2005 PetscErrorCode MatMumpsSetIcntl_MUMPS(Mat F,PetscInt icntl,PetscInt ival)
2006 {
2007   Mat_MUMPS *mumps =(Mat_MUMPS*)F->data;
2008 
2009   PetscFunctionBegin;
2010   mumps->id.ICNTL(icntl) = ival;
2011   PetscFunctionReturn(0);
2012 }
2013 
2014 PetscErrorCode MatMumpsGetIcntl_MUMPS(Mat F,PetscInt icntl,PetscInt *ival)
2015 {
2016   Mat_MUMPS *mumps =(Mat_MUMPS*)F->data;
2017 
2018   PetscFunctionBegin;
2019   *ival = mumps->id.ICNTL(icntl);
2020   PetscFunctionReturn(0);
2021 }
2022 
2023 /*@
2024   MatMumpsSetIcntl - Set MUMPS parameter ICNTL()
2025 
2026    Logically Collective on Mat
2027 
2028    Input Parameters:
2029 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
2030 .  icntl - index of MUMPS parameter array ICNTL()
2031 -  ival - value of MUMPS ICNTL(icntl)
2032 
2033   Options Database:
2034 .   -mat_mumps_icntl_<icntl> <ival>
2035 
2036    Level: beginner
2037 
2038    References:
2039 .     MUMPS Users' Guide
2040 
2041 .seealso: MatGetFactor(), MatMumpsSetICntl(), MatMumpsGetIcntl(), MatMumpsSetCntl(), MatMumpsGetCntl(), MatMumpsGetInfo(), MatMumpsGetInfog(), MatMumpsGetRinfo(), MatMumpsGetRinfog()
2042  @*/
2043 PetscErrorCode MatMumpsSetIcntl(Mat F,PetscInt icntl,PetscInt ival)
2044 {
2045   PetscErrorCode ierr;
2046 
2047   PetscFunctionBegin;
2048   PetscValidType(F,1);
2049   if (!F->factortype) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ARG_WRONGSTATE,"Only for factored matrix");
2050   PetscValidLogicalCollectiveInt(F,icntl,2);
2051   PetscValidLogicalCollectiveInt(F,ival,3);
2052   ierr = PetscTryMethod(F,"MatMumpsSetIcntl_C",(Mat,PetscInt,PetscInt),(F,icntl,ival));CHKERRQ(ierr);
2053   PetscFunctionReturn(0);
2054 }
2055 
2056 /*@
2057   MatMumpsGetIcntl - Get MUMPS parameter ICNTL()
2058 
2059    Logically Collective on Mat
2060 
2061    Input Parameters:
2062 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
2063 -  icntl - index of MUMPS parameter array ICNTL()
2064 
2065   Output Parameter:
2066 .  ival - value of MUMPS ICNTL(icntl)
2067 
2068    Level: beginner
2069 
2070    References:
2071 .     MUMPS Users' Guide
2072 
2073 .seealso: MatGetFactor(), MatMumpsSetICntl(), MatMumpsGetIcntl(), MatMumpsSetCntl(), MatMumpsGetCntl(), MatMumpsGetInfo(), MatMumpsGetInfog(), MatMumpsGetRinfo(), MatMumpsGetRinfog()
2074 @*/
2075 PetscErrorCode MatMumpsGetIcntl(Mat F,PetscInt icntl,PetscInt *ival)
2076 {
2077   PetscErrorCode ierr;
2078 
2079   PetscFunctionBegin;
2080   PetscValidType(F,1);
2081   if (!F->factortype) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ARG_WRONGSTATE,"Only for factored matrix");
2082   PetscValidLogicalCollectiveInt(F,icntl,2);
2083   PetscValidIntPointer(ival,3);
2084   ierr = PetscUseMethod(F,"MatMumpsGetIcntl_C",(Mat,PetscInt,PetscInt*),(F,icntl,ival));CHKERRQ(ierr);
2085   PetscFunctionReturn(0);
2086 }
2087 
2088 /* -------------------------------------------------------------------------------------------*/
2089 PetscErrorCode MatMumpsSetCntl_MUMPS(Mat F,PetscInt icntl,PetscReal val)
2090 {
2091   Mat_MUMPS *mumps =(Mat_MUMPS*)F->data;
2092 
2093   PetscFunctionBegin;
2094   mumps->id.CNTL(icntl) = val;
2095   PetscFunctionReturn(0);
2096 }
2097 
2098 PetscErrorCode MatMumpsGetCntl_MUMPS(Mat F,PetscInt icntl,PetscReal *val)
2099 {
2100   Mat_MUMPS *mumps =(Mat_MUMPS*)F->data;
2101 
2102   PetscFunctionBegin;
2103   *val = mumps->id.CNTL(icntl);
2104   PetscFunctionReturn(0);
2105 }
2106 
2107 /*@
2108   MatMumpsSetCntl - Set MUMPS parameter CNTL()
2109 
2110    Logically Collective on Mat
2111 
2112    Input Parameters:
2113 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
2114 .  icntl - index of MUMPS parameter array CNTL()
2115 -  val - value of MUMPS CNTL(icntl)
2116 
2117   Options Database:
2118 .   -mat_mumps_cntl_<icntl> <val>
2119 
2120    Level: beginner
2121 
2122    References:
2123 .     MUMPS Users' Guide
2124 
2125 .seealso: MatGetFactor(), MatMumpsSetICntl(), MatMumpsGetIcntl(), MatMumpsSetCntl(), MatMumpsGetCntl(), MatMumpsGetInfo(), MatMumpsGetInfog(), MatMumpsGetRinfo(), MatMumpsGetRinfog()
2126 @*/
2127 PetscErrorCode MatMumpsSetCntl(Mat F,PetscInt icntl,PetscReal val)
2128 {
2129   PetscErrorCode ierr;
2130 
2131   PetscFunctionBegin;
2132   PetscValidType(F,1);
2133   if (!F->factortype) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ARG_WRONGSTATE,"Only for factored matrix");
2134   PetscValidLogicalCollectiveInt(F,icntl,2);
2135   PetscValidLogicalCollectiveReal(F,val,3);
2136   ierr = PetscTryMethod(F,"MatMumpsSetCntl_C",(Mat,PetscInt,PetscReal),(F,icntl,val));CHKERRQ(ierr);
2137   PetscFunctionReturn(0);
2138 }
2139 
2140 /*@
2141   MatMumpsGetCntl - Get MUMPS parameter CNTL()
2142 
2143    Logically Collective on Mat
2144 
2145    Input Parameters:
2146 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
2147 -  icntl - index of MUMPS parameter array CNTL()
2148 
2149   Output Parameter:
2150 .  val - value of MUMPS CNTL(icntl)
2151 
2152    Level: beginner
2153 
2154    References:
2155 .      MUMPS Users' Guide
2156 
2157 .seealso: MatGetFactor(), MatMumpsSetICntl(), MatMumpsGetIcntl(), MatMumpsSetCntl(), MatMumpsGetCntl(), MatMumpsGetInfo(), MatMumpsGetInfog(), MatMumpsGetRinfo(), MatMumpsGetRinfog()
2158 @*/
2159 PetscErrorCode MatMumpsGetCntl(Mat F,PetscInt icntl,PetscReal *val)
2160 {
2161   PetscErrorCode ierr;
2162 
2163   PetscFunctionBegin;
2164   PetscValidType(F,1);
2165   if (!F->factortype) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ARG_WRONGSTATE,"Only for factored matrix");
2166   PetscValidLogicalCollectiveInt(F,icntl,2);
2167   PetscValidRealPointer(val,3);
2168   ierr = PetscUseMethod(F,"MatMumpsGetCntl_C",(Mat,PetscInt,PetscReal*),(F,icntl,val));CHKERRQ(ierr);
2169   PetscFunctionReturn(0);
2170 }
2171 
2172 PetscErrorCode MatMumpsGetInfo_MUMPS(Mat F,PetscInt icntl,PetscInt *info)
2173 {
2174   Mat_MUMPS *mumps =(Mat_MUMPS*)F->data;
2175 
2176   PetscFunctionBegin;
2177   *info = mumps->id.INFO(icntl);
2178   PetscFunctionReturn(0);
2179 }
2180 
2181 PetscErrorCode MatMumpsGetInfog_MUMPS(Mat F,PetscInt icntl,PetscInt *infog)
2182 {
2183   Mat_MUMPS *mumps =(Mat_MUMPS*)F->data;
2184 
2185   PetscFunctionBegin;
2186   *infog = mumps->id.INFOG(icntl);
2187   PetscFunctionReturn(0);
2188 }
2189 
2190 PetscErrorCode MatMumpsGetRinfo_MUMPS(Mat F,PetscInt icntl,PetscReal *rinfo)
2191 {
2192   Mat_MUMPS *mumps =(Mat_MUMPS*)F->data;
2193 
2194   PetscFunctionBegin;
2195   *rinfo = mumps->id.RINFO(icntl);
2196   PetscFunctionReturn(0);
2197 }
2198 
2199 PetscErrorCode MatMumpsGetRinfog_MUMPS(Mat F,PetscInt icntl,PetscReal *rinfog)
2200 {
2201   Mat_MUMPS *mumps =(Mat_MUMPS*)F->data;
2202 
2203   PetscFunctionBegin;
2204   *rinfog = mumps->id.RINFOG(icntl);
2205   PetscFunctionReturn(0);
2206 }
2207 
2208 /*@
2209   MatMumpsGetInfo - Get MUMPS parameter INFO()
2210 
2211    Logically Collective on Mat
2212 
2213    Input Parameters:
2214 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
2215 -  icntl - index of MUMPS parameter array INFO()
2216 
2217   Output Parameter:
2218 .  ival - value of MUMPS INFO(icntl)
2219 
2220    Level: beginner
2221 
2222    References:
2223 .      MUMPS Users' Guide
2224 
2225 .seealso: MatGetFactor(), MatMumpsSetICntl(), MatMumpsGetIcntl(), MatMumpsSetCntl(), MatMumpsGetCntl(), MatMumpsGetInfo(), MatMumpsGetInfog(), MatMumpsGetRinfo(), MatMumpsGetRinfog()
2226 @*/
2227 PetscErrorCode MatMumpsGetInfo(Mat F,PetscInt icntl,PetscInt *ival)
2228 {
2229   PetscErrorCode ierr;
2230 
2231   PetscFunctionBegin;
2232   PetscValidType(F,1);
2233   if (!F->factortype) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ARG_WRONGSTATE,"Only for factored matrix");
2234   PetscValidIntPointer(ival,3);
2235   ierr = PetscUseMethod(F,"MatMumpsGetInfo_C",(Mat,PetscInt,PetscInt*),(F,icntl,ival));CHKERRQ(ierr);
2236   PetscFunctionReturn(0);
2237 }
2238 
2239 /*@
2240   MatMumpsGetInfog - Get MUMPS parameter INFOG()
2241 
2242    Logically Collective on Mat
2243 
2244    Input Parameters:
2245 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
2246 -  icntl - index of MUMPS parameter array INFOG()
2247 
2248   Output Parameter:
2249 .  ival - value of MUMPS INFOG(icntl)
2250 
2251    Level: beginner
2252 
2253    References:
2254 .      MUMPS Users' Guide
2255 
2256 .seealso: MatGetFactor(), MatMumpsSetICntl(), MatMumpsGetIcntl(), MatMumpsSetCntl(), MatMumpsGetCntl(), MatMumpsGetInfo(), MatMumpsGetInfog(), MatMumpsGetRinfo(), MatMumpsGetRinfog()
2257 @*/
2258 PetscErrorCode MatMumpsGetInfog(Mat F,PetscInt icntl,PetscInt *ival)
2259 {
2260   PetscErrorCode ierr;
2261 
2262   PetscFunctionBegin;
2263   PetscValidType(F,1);
2264   if (!F->factortype) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ARG_WRONGSTATE,"Only for factored matrix");
2265   PetscValidIntPointer(ival,3);
2266   ierr = PetscUseMethod(F,"MatMumpsGetInfog_C",(Mat,PetscInt,PetscInt*),(F,icntl,ival));CHKERRQ(ierr);
2267   PetscFunctionReturn(0);
2268 }
2269 
2270 /*@
2271   MatMumpsGetRinfo - Get MUMPS parameter RINFO()
2272 
2273    Logically Collective on Mat
2274 
2275    Input Parameters:
2276 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
2277 -  icntl - index of MUMPS parameter array RINFO()
2278 
2279   Output Parameter:
2280 .  val - value of MUMPS RINFO(icntl)
2281 
2282    Level: beginner
2283 
2284    References:
2285 .       MUMPS Users' Guide
2286 
2287 .seealso: MatGetFactor(), MatMumpsSetICntl(), MatMumpsGetIcntl(), MatMumpsSetCntl(), MatMumpsGetCntl(), MatMumpsGetInfo(), MatMumpsGetInfog(), MatMumpsGetRinfo(), MatMumpsGetRinfog()
2288 @*/
2289 PetscErrorCode MatMumpsGetRinfo(Mat F,PetscInt icntl,PetscReal *val)
2290 {
2291   PetscErrorCode ierr;
2292 
2293   PetscFunctionBegin;
2294   PetscValidType(F,1);
2295   if (!F->factortype) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ARG_WRONGSTATE,"Only for factored matrix");
2296   PetscValidRealPointer(val,3);
2297   ierr = PetscUseMethod(F,"MatMumpsGetRinfo_C",(Mat,PetscInt,PetscReal*),(F,icntl,val));CHKERRQ(ierr);
2298   PetscFunctionReturn(0);
2299 }
2300 
2301 /*@
2302   MatMumpsGetRinfog - Get MUMPS parameter RINFOG()
2303 
2304    Logically Collective on Mat
2305 
2306    Input Parameters:
2307 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
2308 -  icntl - index of MUMPS parameter array RINFOG()
2309 
2310   Output Parameter:
2311 .  val - value of MUMPS RINFOG(icntl)
2312 
2313    Level: beginner
2314 
2315    References:
2316 .      MUMPS Users' Guide
2317 
2318 .seealso: MatGetFactor(), MatMumpsSetICntl(), MatMumpsGetIcntl(), MatMumpsSetCntl(), MatMumpsGetCntl(), MatMumpsGetInfo(), MatMumpsGetInfog(), MatMumpsGetRinfo(), MatMumpsGetRinfog()
2319 @*/
2320 PetscErrorCode MatMumpsGetRinfog(Mat F,PetscInt icntl,PetscReal *val)
2321 {
2322   PetscErrorCode ierr;
2323 
2324   PetscFunctionBegin;
2325   PetscValidType(F,1);
2326   if (!F->factortype) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ARG_WRONGSTATE,"Only for factored matrix");
2327   PetscValidRealPointer(val,3);
2328   ierr = PetscUseMethod(F,"MatMumpsGetRinfog_C",(Mat,PetscInt,PetscReal*),(F,icntl,val));CHKERRQ(ierr);
2329   PetscFunctionReturn(0);
2330 }
2331 
2332 /*MC
2333   MATSOLVERMUMPS -  A matrix type providing direct solvers (LU and Cholesky) for
2334   distributed and sequential matrices via the external package MUMPS.
2335 
2336   Works with MATAIJ and MATSBAIJ matrices
2337 
2338   Use ./configure --download-mumps --download-scalapack --download-parmetis --download-metis --download-ptscotch  to have PETSc installed with MUMPS
2339 
2340   Use -pc_type cholesky or lu -pc_factor_mat_solver_package mumps to us this direct solver
2341 
2342   Options Database Keys:
2343 +  -mat_mumps_icntl_1 - ICNTL(1): output stream for error messages
2344 .  -mat_mumps_icntl_2 - ICNTL(2): output stream for diagnostic printing, statistics, and warning
2345 .  -mat_mumps_icntl_3 -  ICNTL(3): output stream for global information, collected on the host
2346 .  -mat_mumps_icntl_4 -  ICNTL(4): level of printing (0 to 4)
2347 .  -mat_mumps_icntl_6 - ICNTL(6): permutes to a zero-free diagonal and/or scale the matrix (0 to 7)
2348 .  -mat_mumps_icntl_7 - ICNTL(7): computes a symmetric permutation in sequential analysis (0 to 7). 3=Scotch, 4=PORD, 5=Metis
2349 .  -mat_mumps_icntl_8  - ICNTL(8): scaling strategy (-2 to 8 or 77)
2350 .  -mat_mumps_icntl_10  - ICNTL(10): max num of refinements
2351 .  -mat_mumps_icntl_11  - ICNTL(11): statistics related to an error analysis (via -ksp_view)
2352 .  -mat_mumps_icntl_12  - ICNTL(12): an ordering strategy for symmetric matrices (0 to 3)
2353 .  -mat_mumps_icntl_13  - ICNTL(13): parallelism of the root node (enable ScaLAPACK) and its splitting
2354 .  -mat_mumps_icntl_14  - ICNTL(14): percentage increase in the estimated working space
2355 .  -mat_mumps_icntl_19  - ICNTL(19): computes the Schur complement
2356 .  -mat_mumps_icntl_22  - ICNTL(22): in-core/out-of-core factorization and solve (0 or 1)
2357 .  -mat_mumps_icntl_23  - ICNTL(23): max size of the working memory (MB) that can allocate per processor
2358 .  -mat_mumps_icntl_24  - ICNTL(24): detection of null pivot rows (0 or 1)
2359 .  -mat_mumps_icntl_25  - ICNTL(25): compute a solution of a deficient matrix and a null space basis
2360 .  -mat_mumps_icntl_26  - ICNTL(26): drives the solution phase if a Schur complement matrix
2361 .  -mat_mumps_icntl_28  - ICNTL(28): use 1 for sequential analysis and ictnl(7) ordering, or 2 for parallel analysis and ictnl(29) ordering
2362 .  -mat_mumps_icntl_29 - ICNTL(29): parallel ordering 1 = ptscotch, 2 = parmetis
2363 .  -mat_mumps_icntl_30 - ICNTL(30): compute user-specified set of entries in inv(A)
2364 .  -mat_mumps_icntl_31 - ICNTL(31): indicates which factors may be discarded during factorization
2365 .  -mat_mumps_icntl_33 - ICNTL(33): compute determinant
2366 .  -mat_mumps_cntl_1  - CNTL(1): relative pivoting threshold
2367 .  -mat_mumps_cntl_2  -  CNTL(2): stopping criterion of refinement
2368 .  -mat_mumps_cntl_3 - CNTL(3): absolute pivoting threshold
2369 .  -mat_mumps_cntl_4 - CNTL(4): value for static pivoting
2370 -  -mat_mumps_cntl_5 - CNTL(5): fixation for null pivots
2371 
2372   Level: beginner
2373 
2374     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
2375 $          KSPGetPC(ksp,&pc);
2376 $          PCFactorGetMatrix(pc,&mat);
2377 $          MatMumpsGetInfo(mat,....);
2378 $          MatMumpsGetInfog(mat,....); etc.
2379            Or you can run with -ksp_error_if_not_converged and the program will be stopped and the information printed in the error message.
2380 
2381 .seealso: PCFactorSetMatSolverPackage(), MatSolverPackage, MatMumpsSetICntl(), MatMumpsGetIcntl(), MatMumpsSetCntl(), MatMumpsGetCntl(), MatMumpsGetInfo(), MatMumpsGetInfog(), MatMumpsGetRinfo(), MatMumpsGetRinfog(), KSPGetPC(), PCGetFactor(), PCFactorGetMatrix()
2382 
2383 M*/
2384 
2385 static PetscErrorCode MatFactorGetSolverPackage_mumps(Mat A,const MatSolverPackage *type)
2386 {
2387   PetscFunctionBegin;
2388   *type = MATSOLVERMUMPS;
2389   PetscFunctionReturn(0);
2390 }
2391 
2392 /* MatGetFactor for Seq and MPI AIJ matrices */
2393 static PetscErrorCode MatGetFactor_aij_mumps(Mat A,MatFactorType ftype,Mat *F)
2394 {
2395   Mat            B;
2396   PetscErrorCode ierr;
2397   Mat_MUMPS      *mumps;
2398   PetscBool      isSeqAIJ;
2399 
2400   PetscFunctionBegin;
2401   /* Create the factorization matrix */
2402   ierr = PetscObjectTypeCompare((PetscObject)A,MATSEQAIJ,&isSeqAIJ);CHKERRQ(ierr);
2403   ierr = MatCreate(PetscObjectComm((PetscObject)A),&B);CHKERRQ(ierr);
2404   ierr = MatSetSizes(B,A->rmap->n,A->cmap->n,A->rmap->N,A->cmap->N);CHKERRQ(ierr);
2405   ierr = PetscStrallocpy("mumps",&((PetscObject)B)->type_name);CHKERRQ(ierr);
2406   ierr = MatSetUp(B);CHKERRQ(ierr);
2407 
2408   ierr = PetscNewLog(B,&mumps);CHKERRQ(ierr);
2409 
2410   B->ops->view        = MatView_MUMPS;
2411   B->ops->getinfo     = MatGetInfo_MUMPS;
2412 
2413   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorGetSolverPackage_C",MatFactorGetSolverPackage_mumps);CHKERRQ(ierr);
2414   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSetSchurIS_C",MatFactorSetSchurIS_MUMPS);CHKERRQ(ierr);
2415   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorInvertSchurComplement_C",MatFactorInvertSchurComplement_MUMPS);CHKERRQ(ierr);
2416   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorCreateSchurComplement_C",MatFactorCreateSchurComplement_MUMPS);CHKERRQ(ierr);
2417   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorGetSchurComplement_C",MatFactorGetSchurComplement_MUMPS);CHKERRQ(ierr);
2418   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSolveSchurComplement_C",MatFactorSolveSchurComplement_MUMPS);CHKERRQ(ierr);
2419   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSolveSchurComplementTranspose_C",MatFactorSolveSchurComplementTranspose_MUMPS);CHKERRQ(ierr);
2420   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorFactorizeSchurComplement_C",MatFactorFactorizeSchurComplement_MUMPS);CHKERRQ(ierr);
2421   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSetSchurComplementSolverType_C",MatFactorSetSchurComplementSolverType_MUMPS);CHKERRQ(ierr);
2422   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsSetIcntl_C",MatMumpsSetIcntl_MUMPS);CHKERRQ(ierr);
2423   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetIcntl_C",MatMumpsGetIcntl_MUMPS);CHKERRQ(ierr);
2424   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsSetCntl_C",MatMumpsSetCntl_MUMPS);CHKERRQ(ierr);
2425   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetCntl_C",MatMumpsGetCntl_MUMPS);CHKERRQ(ierr);
2426   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetInfo_C",MatMumpsGetInfo_MUMPS);CHKERRQ(ierr);
2427   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetInfog_C",MatMumpsGetInfog_MUMPS);CHKERRQ(ierr);
2428   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetRinfo_C",MatMumpsGetRinfo_MUMPS);CHKERRQ(ierr);
2429   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetRinfog_C",MatMumpsGetRinfog_MUMPS);CHKERRQ(ierr);
2430 
2431   if (ftype == MAT_FACTOR_LU) {
2432     B->ops->lufactorsymbolic = MatLUFactorSymbolic_AIJMUMPS;
2433     B->factortype            = MAT_FACTOR_LU;
2434     if (isSeqAIJ) mumps->ConvertToTriples = MatConvertToTriples_seqaij_seqaij;
2435     else mumps->ConvertToTriples = MatConvertToTriples_mpiaij_mpiaij;
2436     mumps->sym = 0;
2437   } else {
2438     B->ops->choleskyfactorsymbolic = MatCholeskyFactorSymbolic_MUMPS;
2439     B->factortype                  = MAT_FACTOR_CHOLESKY;
2440     if (isSeqAIJ) mumps->ConvertToTriples = MatConvertToTriples_seqaij_seqsbaij;
2441     else mumps->ConvertToTriples = MatConvertToTriples_mpiaij_mpisbaij;
2442 #if defined(PETSC_USE_COMPLEX)
2443     mumps->sym = 2;
2444 #else
2445     if (A->spd_set && A->spd) mumps->sym = 1;
2446     else                      mumps->sym = 2;
2447 #endif
2448   }
2449 
2450   /* set solvertype */
2451   ierr = PetscFree(B->solvertype);CHKERRQ(ierr);
2452   ierr = PetscStrallocpy(MATSOLVERMUMPS,&B->solvertype);CHKERRQ(ierr);
2453 
2454   mumps->isAIJ    = PETSC_TRUE;
2455   B->ops->destroy = MatDestroy_MUMPS;
2456   B->data        = (void*)mumps;
2457 
2458   ierr = PetscInitializeMUMPS(A,mumps);CHKERRQ(ierr);
2459 
2460   *F = B;
2461   PetscFunctionReturn(0);
2462 }
2463 
2464 /* MatGetFactor for Seq and MPI SBAIJ matrices */
2465 static PetscErrorCode MatGetFactor_sbaij_mumps(Mat A,MatFactorType ftype,Mat *F)
2466 {
2467   Mat            B;
2468   PetscErrorCode ierr;
2469   Mat_MUMPS      *mumps;
2470   PetscBool      isSeqSBAIJ;
2471 
2472   PetscFunctionBegin;
2473   if (ftype != MAT_FACTOR_CHOLESKY) SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_SUP,"Cannot use PETSc SBAIJ matrices with MUMPS LU, use AIJ matrix");
2474   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");
2475   ierr = PetscObjectTypeCompare((PetscObject)A,MATSEQSBAIJ,&isSeqSBAIJ);CHKERRQ(ierr);
2476   /* Create the factorization matrix */
2477   ierr = MatCreate(PetscObjectComm((PetscObject)A),&B);CHKERRQ(ierr);
2478   ierr = MatSetSizes(B,A->rmap->n,A->cmap->n,A->rmap->N,A->cmap->N);CHKERRQ(ierr);
2479   ierr = PetscStrallocpy("mumps",&((PetscObject)B)->type_name);CHKERRQ(ierr);
2480   ierr = MatSetUp(B);CHKERRQ(ierr);
2481 
2482   ierr = PetscNewLog(B,&mumps);CHKERRQ(ierr);
2483   if (isSeqSBAIJ) {
2484     mumps->ConvertToTriples = MatConvertToTriples_seqsbaij_seqsbaij;
2485   } else {
2486     mumps->ConvertToTriples = MatConvertToTriples_mpisbaij_mpisbaij;
2487   }
2488 
2489   B->ops->getinfo                = MatGetInfo_External;
2490   B->ops->choleskyfactorsymbolic = MatCholeskyFactorSymbolic_MUMPS;
2491   B->ops->view                   = MatView_MUMPS;
2492 
2493   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorGetSolverPackage_C",MatFactorGetSolverPackage_mumps);CHKERRQ(ierr);
2494   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSetSchurIS_C",MatFactorSetSchurIS_MUMPS);CHKERRQ(ierr);
2495   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorInvertSchurComplement_C",MatFactorInvertSchurComplement_MUMPS);CHKERRQ(ierr);
2496   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorCreateSchurComplement_C",MatFactorCreateSchurComplement_MUMPS);CHKERRQ(ierr);
2497   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorGetSchurComplement_C",MatFactorGetSchurComplement_MUMPS);CHKERRQ(ierr);
2498   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSolveSchurComplement_C",MatFactorSolveSchurComplement_MUMPS);CHKERRQ(ierr);
2499   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSolveSchurComplementTranspose_C",MatFactorSolveSchurComplementTranspose_MUMPS);CHKERRQ(ierr);
2500   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorFactorizeSchurComplement_C",MatFactorFactorizeSchurComplement_MUMPS);CHKERRQ(ierr);
2501   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSetSchurComplementSolverType_C",MatFactorSetSchurComplementSolverType_MUMPS);CHKERRQ(ierr);
2502   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsSetIcntl_C",MatMumpsSetIcntl_MUMPS);CHKERRQ(ierr);
2503   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetIcntl_C",MatMumpsGetIcntl_MUMPS);CHKERRQ(ierr);
2504   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsSetCntl_C",MatMumpsSetCntl_MUMPS);CHKERRQ(ierr);
2505   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetCntl_C",MatMumpsGetCntl_MUMPS);CHKERRQ(ierr);
2506   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetInfo_C",MatMumpsGetInfo_MUMPS);CHKERRQ(ierr);
2507   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetInfog_C",MatMumpsGetInfog_MUMPS);CHKERRQ(ierr);
2508   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetRinfo_C",MatMumpsGetRinfo_MUMPS);CHKERRQ(ierr);
2509   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetRinfog_C",MatMumpsGetRinfog_MUMPS);CHKERRQ(ierr);
2510 
2511   B->factortype = MAT_FACTOR_CHOLESKY;
2512 #if defined(PETSC_USE_COMPLEX)
2513   mumps->sym = 2;
2514 #else
2515   if (A->spd_set && A->spd) mumps->sym = 1;
2516   else                      mumps->sym = 2;
2517 #endif
2518 
2519   /* set solvertype */
2520   ierr = PetscFree(B->solvertype);CHKERRQ(ierr);
2521   ierr = PetscStrallocpy(MATSOLVERMUMPS,&B->solvertype);CHKERRQ(ierr);
2522 
2523   mumps->isAIJ    = PETSC_FALSE;
2524   B->ops->destroy = MatDestroy_MUMPS;
2525   B->data        = (void*)mumps;
2526 
2527   ierr = PetscInitializeMUMPS(A,mumps);CHKERRQ(ierr);
2528 
2529   *F = B;
2530   PetscFunctionReturn(0);
2531 }
2532 
2533 static PetscErrorCode MatGetFactor_baij_mumps(Mat A,MatFactorType ftype,Mat *F)
2534 {
2535   Mat            B;
2536   PetscErrorCode ierr;
2537   Mat_MUMPS      *mumps;
2538   PetscBool      isSeqBAIJ;
2539 
2540   PetscFunctionBegin;
2541   /* Create the factorization matrix */
2542   ierr = PetscObjectTypeCompare((PetscObject)A,MATSEQBAIJ,&isSeqBAIJ);CHKERRQ(ierr);
2543   ierr = MatCreate(PetscObjectComm((PetscObject)A),&B);CHKERRQ(ierr);
2544   ierr = MatSetSizes(B,A->rmap->n,A->cmap->n,A->rmap->N,A->cmap->N);CHKERRQ(ierr);
2545   ierr = PetscStrallocpy("mumps",&((PetscObject)B)->type_name);CHKERRQ(ierr);
2546   ierr = MatSetUp(B);CHKERRQ(ierr);
2547 
2548   ierr = PetscNewLog(B,&mumps);CHKERRQ(ierr);
2549   if (ftype == MAT_FACTOR_LU) {
2550     B->ops->lufactorsymbolic = MatLUFactorSymbolic_BAIJMUMPS;
2551     B->factortype            = MAT_FACTOR_LU;
2552     if (isSeqBAIJ) mumps->ConvertToTriples = MatConvertToTriples_seqbaij_seqaij;
2553     else mumps->ConvertToTriples = MatConvertToTriples_mpibaij_mpiaij;
2554     mumps->sym = 0;
2555   } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Cannot use PETSc BAIJ matrices with MUMPS Cholesky, use SBAIJ or AIJ matrix instead\n");
2556 
2557   B->ops->getinfo     = MatGetInfo_External;
2558   B->ops->view        = MatView_MUMPS;
2559 
2560   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorGetSolverPackage_C",MatFactorGetSolverPackage_mumps);CHKERRQ(ierr);
2561   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSetSchurIS_C",MatFactorSetSchurIS_MUMPS);CHKERRQ(ierr);
2562   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorInvertSchurComplement_C",MatFactorInvertSchurComplement_MUMPS);CHKERRQ(ierr);
2563   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorCreateSchurComplement_C",MatFactorCreateSchurComplement_MUMPS);CHKERRQ(ierr);
2564   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorGetSchurComplement_C",MatFactorGetSchurComplement_MUMPS);CHKERRQ(ierr);
2565   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSolveSchurComplement_C",MatFactorSolveSchurComplement_MUMPS);CHKERRQ(ierr);
2566   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSolveSchurComplementTranspose_C",MatFactorSolveSchurComplementTranspose_MUMPS);CHKERRQ(ierr);
2567   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorFactorizeSchurComplement_C",MatFactorFactorizeSchurComplement_MUMPS);CHKERRQ(ierr);
2568   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSetSchurComplementSolverType_C",MatFactorSetSchurComplementSolverType_MUMPS);CHKERRQ(ierr);
2569   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsSetIcntl_C",MatMumpsSetIcntl_MUMPS);CHKERRQ(ierr);
2570   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetIcntl_C",MatMumpsGetIcntl_MUMPS);CHKERRQ(ierr);
2571   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsSetCntl_C",MatMumpsSetCntl_MUMPS);CHKERRQ(ierr);
2572   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetCntl_C",MatMumpsGetCntl_MUMPS);CHKERRQ(ierr);
2573   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetInfo_C",MatMumpsGetInfo_MUMPS);CHKERRQ(ierr);
2574   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetInfog_C",MatMumpsGetInfog_MUMPS);CHKERRQ(ierr);
2575   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetRinfo_C",MatMumpsGetRinfo_MUMPS);CHKERRQ(ierr);
2576   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetRinfog_C",MatMumpsGetRinfog_MUMPS);CHKERRQ(ierr);
2577 
2578   /* set solvertype */
2579   ierr = PetscFree(B->solvertype);CHKERRQ(ierr);
2580   ierr = PetscStrallocpy(MATSOLVERMUMPS,&B->solvertype);CHKERRQ(ierr);
2581 
2582   mumps->isAIJ    = PETSC_TRUE;
2583   B->ops->destroy = MatDestroy_MUMPS;
2584   B->data        = (void*)mumps;
2585 
2586   ierr = PetscInitializeMUMPS(A,mumps);CHKERRQ(ierr);
2587 
2588   *F = B;
2589   PetscFunctionReturn(0);
2590 }
2591 
2592 PETSC_EXTERN PetscErrorCode MatSolverPackageRegister_MUMPS(void)
2593 {
2594   PetscErrorCode ierr;
2595 
2596   PetscFunctionBegin;
2597   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATMPIAIJ,MAT_FACTOR_LU,MatGetFactor_aij_mumps);CHKERRQ(ierr);
2598   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATMPIAIJ,MAT_FACTOR_CHOLESKY,MatGetFactor_aij_mumps);CHKERRQ(ierr);
2599   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATMPIBAIJ,MAT_FACTOR_LU,MatGetFactor_baij_mumps);CHKERRQ(ierr);
2600   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATMPIBAIJ,MAT_FACTOR_CHOLESKY,MatGetFactor_baij_mumps);CHKERRQ(ierr);
2601   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATMPISBAIJ,MAT_FACTOR_CHOLESKY,MatGetFactor_sbaij_mumps);CHKERRQ(ierr);
2602   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATSEQAIJ,MAT_FACTOR_LU,MatGetFactor_aij_mumps);CHKERRQ(ierr);
2603   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATSEQAIJ,MAT_FACTOR_CHOLESKY,MatGetFactor_aij_mumps);CHKERRQ(ierr);
2604   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATSEQBAIJ,MAT_FACTOR_LU,MatGetFactor_baij_mumps);CHKERRQ(ierr);
2605   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATSEQBAIJ,MAT_FACTOR_CHOLESKY,MatGetFactor_baij_mumps);CHKERRQ(ierr);
2606   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATSEQSBAIJ,MAT_FACTOR_CHOLESKY,MatGetFactor_sbaij_mumps);CHKERRQ(ierr);
2607   PetscFunctionReturn(0);
2608 }
2609 
2610