xref: /petsc/src/mat/impls/aij/mpi/mumps/mumps.c (revision 92a3a55ec6da29ae8e4e7d4dec3c540e28ea5ded)
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   Mat            Bt = NULL;
981   PetscBool      flg, flgT;
982   Mat_MUMPS      *mumps=(Mat_MUMPS*)A->data;
983   PetscInt       i,nrhs,M;
984   PetscScalar    *array,*bray;
985 
986   PetscFunctionBegin;
987   ierr = PetscObjectTypeCompareAny((PetscObject)B,&flg,MATSEQDENSE,MATMPIDENSE,NULL);CHKERRQ(ierr);
988   ierr = PetscObjectTypeCompare((PetscObject)B,MATTRANSPOSEMAT,&flgT);CHKERRQ(ierr);
989   if (flgT) {
990     if (mumps->size > 1) SETERRQ(PetscObjectComm((PetscObject)B),PETSC_ERR_ARG_WRONG,"Matrix B must be MATDENSE matrix");
991     ierr = MatTransposeGetMat(B,&Bt);CHKERRQ(ierr);
992   } else {
993     if (!flg) SETERRQ(PetscObjectComm((PetscObject)B),PETSC_ERR_ARG_WRONG,"Matrix B must be MATDENSE matrix");
994   }
995   ierr = PetscObjectTypeCompareAny((PetscObject)X,&flg,MATSEQDENSE,MATMPIDENSE,NULL);CHKERRQ(ierr);
996   if (!flg) SETERRQ(PetscObjectComm((PetscObject)X),PETSC_ERR_ARG_WRONG,"Matrix X must be MATDENSE matrix");
997   if (B->rmap->n != X->rmap->n) SETERRQ(PetscObjectComm((PetscObject)B),PETSC_ERR_ARG_WRONG,"Matrix B and X must have same row distribution");
998 
999   ierr = MatGetSize(B,&M,&nrhs);CHKERRQ(ierr);
1000   mumps->id.nrhs = nrhs;
1001   mumps->id.lrhs = M;
1002 
1003   if (mumps->size == 1) {
1004     PetscScalar *aa;
1005     PetscInt    spnr,*ia,*ja;
1006     PetscBool   second_solve = PETSC_FALSE;
1007 
1008     /* copy B to X */
1009     ierr = MatDenseGetArray(X,&array);CHKERRQ(ierr);
1010     mumps->id.rhs = (MumpsScalar*)array;
1011     if (!Bt) {
1012       ierr = MatDenseGetArray(B,&bray);CHKERRQ(ierr);
1013       ierr = PetscMemcpy(array,bray,M*nrhs*sizeof(PetscScalar));CHKERRQ(ierr);
1014       ierr = MatDenseRestoreArray(B,&bray);CHKERRQ(ierr);
1015     } else {
1016       PetscBool done;
1017 
1018       ierr = MatSeqAIJGetArray(Bt,&aa);CHKERRQ(ierr);
1019       ierr = MatGetRowIJ(Bt,1,PETSC_FALSE,PETSC_FALSE,&spnr,(const PetscInt**)&ia,(const PetscInt**)&ja,&done);CHKERRQ(ierr);
1020       if (!done) SETERRQ(PetscObjectComm((PetscObject)Bt),PETSC_ERR_ARG_WRONG,"Cannot get IJ structure");
1021       mumps->id.irhs_ptr    = ia;
1022       mumps->id.irhs_sparse = ja;
1023       mumps->id.nz_rhs      = ia[spnr] - 1;
1024       mumps->id.rhs_sparse  = (MumpsScalar*)aa;
1025       mumps->id.ICNTL(20)   = 1;
1026     }
1027     /* handle condensation step of Schur complement (if any) */
1028     if (mumps->id.ICNTL(26) < 0 || mumps->id.ICNTL(26) > 2) {
1029       second_solve = PETSC_TRUE;
1030       ierr = MatMumpsHandleSchur_Private(mumps,PETSC_FALSE);CHKERRQ(ierr);
1031     }
1032     /* solve phase */
1033     /*-------------*/
1034     mumps->id.job = JOB_SOLVE;
1035     PetscMUMPS_c(&mumps->id);
1036     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));
1037 
1038     /* handle expansion step of Schur complement (if any) */
1039     if (second_solve) {
1040       ierr = MatMumpsHandleSchur_Private(mumps,PETSC_TRUE);CHKERRQ(ierr);
1041     }
1042     if (Bt) {
1043       PetscBool done;
1044 
1045       ierr = MatSeqAIJRestoreArray(Bt,&aa);CHKERRQ(ierr);
1046       ierr = MatRestoreRowIJ(Bt,1,PETSC_FALSE,PETSC_FALSE,&spnr,(const PetscInt**)&ia,(const PetscInt**)&ja,&done);CHKERRQ(ierr);
1047       if (!done) SETERRQ(PetscObjectComm((PetscObject)Bt),PETSC_ERR_ARG_WRONG,"Cannot restore IJ structure");
1048       mumps->id.ICNTL(20) = 0;
1049     }
1050     ierr = MatDenseRestoreArray(X,&array);CHKERRQ(ierr);
1051   } else {  /*--------- parallel case --------*/
1052     PetscInt       lsol_loc,nlsol_loc,*isol_loc,*idx,*iidx,*idxx,*isol_loc_save;
1053     MumpsScalar    *sol_loc,*sol_loc_save;
1054     IS             is_to,is_from;
1055     PetscInt       k,proc,j,m;
1056     const PetscInt *rstart;
1057     Vec            v_mpi,b_seq,x_seq;
1058     VecScatter     scat_rhs,scat_sol;
1059 
1060     if (mumps->size > 1 && mumps->id.ICNTL(19)) SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_SUP,"Parallel Schur complements not yet supported from PETSc\n");
1061 
1062     /* create x_seq to hold local solution */
1063     isol_loc_save = mumps->id.isol_loc; /* save it for MatSovle() */
1064     sol_loc_save  = mumps->id.sol_loc;
1065 
1066     lsol_loc  = mumps->id.INFO(23);
1067     nlsol_loc = nrhs*lsol_loc;     /* length of sol_loc */
1068     ierr = PetscMalloc2(nlsol_loc,&sol_loc,nlsol_loc,&isol_loc);CHKERRQ(ierr);
1069     mumps->id.sol_loc = (MumpsScalar*)sol_loc;
1070     mumps->id.isol_loc = isol_loc;
1071 
1072     ierr = VecCreateSeqWithArray(PETSC_COMM_SELF,1,nlsol_loc,(PetscScalar*)sol_loc,&x_seq);CHKERRQ(ierr);
1073 
1074     /* copy rhs matrix B into vector v_mpi */
1075     ierr = MatGetLocalSize(B,&m,NULL);CHKERRQ(ierr);
1076     ierr = MatDenseGetArray(B,&bray);CHKERRQ(ierr);
1077     ierr = VecCreateMPIWithArray(PetscObjectComm((PetscObject)B),1,nrhs*m,nrhs*M,(const PetscScalar*)bray,&v_mpi);CHKERRQ(ierr);
1078     ierr = MatDenseRestoreArray(B,&bray);CHKERRQ(ierr);
1079 
1080     /* scatter v_mpi to b_seq because MUMPS only supports centralized rhs */
1081     /* idx: maps from k-th index of v_mpi to (i,j)-th global entry of B;
1082       iidx: inverse of idx, will be used by scattering xx_seq -> X       */
1083     ierr = PetscMalloc2(nrhs*M,&idx,nrhs*M,&iidx);CHKERRQ(ierr);
1084     ierr = MatGetOwnershipRanges(B,&rstart);CHKERRQ(ierr);
1085     k = 0;
1086     for (proc=0; proc<mumps->size; proc++){
1087       for (j=0; j<nrhs; j++){
1088         for (i=rstart[proc]; i<rstart[proc+1]; i++){
1089           iidx[j*M + i] = k;
1090           idx[k++]      = j*M + i;
1091         }
1092       }
1093     }
1094 
1095     if (!mumps->myid) {
1096       ierr = VecCreateSeq(PETSC_COMM_SELF,nrhs*M,&b_seq);CHKERRQ(ierr);
1097       ierr = ISCreateGeneral(PETSC_COMM_SELF,nrhs*M,idx,PETSC_COPY_VALUES,&is_to);CHKERRQ(ierr);
1098       ierr = ISCreateStride(PETSC_COMM_SELF,nrhs*M,0,1,&is_from);CHKERRQ(ierr);
1099     } else {
1100       ierr = VecCreateSeq(PETSC_COMM_SELF,0,&b_seq);CHKERRQ(ierr);
1101       ierr = ISCreateStride(PETSC_COMM_SELF,0,0,1,&is_to);CHKERRQ(ierr);
1102       ierr = ISCreateStride(PETSC_COMM_SELF,0,0,1,&is_from);CHKERRQ(ierr);
1103     }
1104     ierr = VecScatterCreate(v_mpi,is_from,b_seq,is_to,&scat_rhs);CHKERRQ(ierr);
1105     ierr = VecScatterBegin(scat_rhs,v_mpi,b_seq,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1106     ierr = ISDestroy(&is_to);CHKERRQ(ierr);
1107     ierr = ISDestroy(&is_from);CHKERRQ(ierr);
1108     ierr = VecScatterEnd(scat_rhs,v_mpi,b_seq,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1109 
1110     if (!mumps->myid) { /* define rhs on the host */
1111       ierr = VecGetArray(b_seq,&bray);CHKERRQ(ierr);
1112       mumps->id.rhs = (MumpsScalar*)bray;
1113       ierr = VecRestoreArray(b_seq,&bray);CHKERRQ(ierr);
1114     }
1115 
1116     /* solve phase */
1117     /*-------------*/
1118     mumps->id.job = JOB_SOLVE;
1119     PetscMUMPS_c(&mumps->id);
1120     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));
1121 
1122     /* scatter mumps distributed solution to petsc vector v_mpi, which shares local arrays with solution matrix X */
1123     ierr = MatDenseGetArray(X,&array);CHKERRQ(ierr);
1124     ierr = VecPlaceArray(v_mpi,array);CHKERRQ(ierr);
1125 
1126     /* create scatter scat_sol */
1127     ierr = PetscMalloc1(nlsol_loc,&idxx);CHKERRQ(ierr);
1128     ierr = ISCreateStride(PETSC_COMM_SELF,nlsol_loc,0,1,&is_from);CHKERRQ(ierr);
1129     for (i=0; i<lsol_loc; i++) {
1130       isol_loc[i] -= 1; /* change Fortran style to C style */
1131       idxx[i] = iidx[isol_loc[i]];
1132       for (j=1; j<nrhs; j++){
1133         idxx[j*lsol_loc+i] = iidx[isol_loc[i]+j*M];
1134       }
1135     }
1136     ierr = ISCreateGeneral(PETSC_COMM_SELF,nlsol_loc,idxx,PETSC_COPY_VALUES,&is_to);CHKERRQ(ierr);
1137     ierr = VecScatterCreate(x_seq,is_from,v_mpi,is_to,&scat_sol);CHKERRQ(ierr);
1138     ierr = VecScatterBegin(scat_sol,x_seq,v_mpi,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1139     ierr = ISDestroy(&is_from);CHKERRQ(ierr);
1140     ierr = ISDestroy(&is_to);CHKERRQ(ierr);
1141     ierr = VecScatterEnd(scat_sol,x_seq,v_mpi,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1142     ierr = MatDenseRestoreArray(X,&array);CHKERRQ(ierr);
1143 
1144     /* free spaces */
1145     mumps->id.sol_loc = sol_loc_save;
1146     mumps->id.isol_loc = isol_loc_save;
1147 
1148     ierr = PetscFree2(sol_loc,isol_loc);CHKERRQ(ierr);
1149     ierr = PetscFree2(idx,iidx);CHKERRQ(ierr);
1150     ierr = PetscFree(idxx);CHKERRQ(ierr);
1151     ierr = VecDestroy(&x_seq);CHKERRQ(ierr);
1152     ierr = VecDestroy(&v_mpi);CHKERRQ(ierr);
1153     ierr = VecDestroy(&b_seq);CHKERRQ(ierr);
1154     ierr = VecScatterDestroy(&scat_rhs);CHKERRQ(ierr);
1155     ierr = VecScatterDestroy(&scat_sol);CHKERRQ(ierr);
1156   }
1157   PetscFunctionReturn(0);
1158 }
1159 
1160 #if !defined(PETSC_USE_COMPLEX)
1161 /*
1162   input:
1163    F:        numeric factor
1164   output:
1165    nneg:     total number of negative pivots
1166    nzero:    total number of zero pivots
1167    npos:     (global dimension of F) - nneg - nzero
1168 */
1169 PetscErrorCode MatGetInertia_SBAIJMUMPS(Mat F,int *nneg,int *nzero,int *npos)
1170 {
1171   Mat_MUMPS      *mumps =(Mat_MUMPS*)F->data;
1172   PetscErrorCode ierr;
1173   PetscMPIInt    size;
1174 
1175   PetscFunctionBegin;
1176   ierr = MPI_Comm_size(PetscObjectComm((PetscObject)F),&size);CHKERRQ(ierr);
1177   /* 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 */
1178   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));
1179 
1180   if (nneg) *nneg = mumps->id.INFOG(12);
1181   if (nzero || npos) {
1182     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");
1183     if (nzero) *nzero = mumps->id.INFOG(28);
1184     if (npos) *npos   = F->rmap->N - (mumps->id.INFOG(12) + mumps->id.INFOG(28));
1185   }
1186   PetscFunctionReturn(0);
1187 }
1188 #endif
1189 
1190 PetscErrorCode MatFactorNumeric_MUMPS(Mat F,Mat A,const MatFactorInfo *info)
1191 {
1192   Mat_MUMPS      *mumps =(Mat_MUMPS*)(F)->data;
1193   PetscErrorCode ierr;
1194   PetscBool      isMPIAIJ;
1195 
1196   PetscFunctionBegin;
1197   if (mumps->id.INFOG(1) < 0) {
1198     if (mumps->id.INFOG(1) == -6) {
1199       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);
1200     }
1201     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);
1202     PetscFunctionReturn(0);
1203   }
1204 
1205   ierr = (*mumps->ConvertToTriples)(A, 1, MAT_REUSE_MATRIX, &mumps->nz, &mumps->irn, &mumps->jcn, &mumps->val);CHKERRQ(ierr);
1206 
1207   /* numerical factorization phase */
1208   /*-------------------------------*/
1209   mumps->id.job = JOB_FACTNUMERIC;
1210   if (!mumps->id.ICNTL(18)) { /* A is centralized */
1211     if (!mumps->myid) {
1212       mumps->id.a = (MumpsScalar*)mumps->val;
1213     }
1214   } else {
1215     mumps->id.a_loc = (MumpsScalar*)mumps->val;
1216   }
1217   PetscMUMPS_c(&mumps->id);
1218   if (mumps->id.INFOG(1) < 0) {
1219     if (A->erroriffailure) {
1220       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));
1221     } else {
1222       if (mumps->id.INFOG(1) == -10) { /* numerically singular matrix */
1223         ierr = PetscInfo2(F,"matrix is numerically singular, INFOG(1)=%d, INFO(2)=%d\n",mumps->id.INFOG(1),mumps->id.INFO(2));CHKERRQ(ierr);
1224         F->factorerrortype = MAT_FACTOR_NUMERIC_ZEROPIVOT;
1225       } else if (mumps->id.INFOG(1) == -13) {
1226         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);
1227         F->factorerrortype = MAT_FACTOR_OUTMEMORY;
1228       } else if (mumps->id.INFOG(1) == -8 || mumps->id.INFOG(1) == -9 || (-16 < mumps->id.INFOG(1) && mumps->id.INFOG(1) < -10) ) {
1229         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);
1230         F->factorerrortype = MAT_FACTOR_OUTMEMORY;
1231       } else {
1232         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);
1233         F->factorerrortype = MAT_FACTOR_OTHER;
1234       }
1235     }
1236   }
1237   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));
1238 
1239   (F)->assembled        = PETSC_TRUE;
1240   mumps->matstruc       = SAME_NONZERO_PATTERN;
1241   mumps->schur_factored = PETSC_FALSE;
1242   mumps->schur_inverted = PETSC_FALSE;
1243 
1244   /* just to be sure that ICNTL(19) value returned by a call from MatMumpsGetIcntl is always consistent */
1245   if (!mumps->sym && mumps->id.ICNTL(19) && mumps->id.ICNTL(19) != 1) mumps->id.ICNTL(19) = 3;
1246 
1247   if (mumps->size > 1) {
1248     PetscInt    lsol_loc;
1249     PetscScalar *sol_loc;
1250 
1251     ierr = PetscObjectTypeCompare((PetscObject)A,MATMPIAIJ,&isMPIAIJ);CHKERRQ(ierr);
1252 
1253     /* distributed solution; Create x_seq=sol_loc for repeated use */
1254     if (mumps->x_seq) {
1255       ierr = VecScatterDestroy(&mumps->scat_sol);CHKERRQ(ierr);
1256       ierr = PetscFree2(mumps->id.sol_loc,mumps->id.isol_loc);CHKERRQ(ierr);
1257       ierr = VecDestroy(&mumps->x_seq);CHKERRQ(ierr);
1258     }
1259     lsol_loc = mumps->id.INFO(23); /* length of sol_loc */
1260     ierr = PetscMalloc2(lsol_loc,&sol_loc,lsol_loc,&mumps->id.isol_loc);CHKERRQ(ierr);
1261     mumps->id.lsol_loc = lsol_loc;
1262     mumps->id.sol_loc = (MumpsScalar*)sol_loc;
1263     ierr = VecCreateSeqWithArray(PETSC_COMM_SELF,1,lsol_loc,sol_loc,&mumps->x_seq);CHKERRQ(ierr);
1264   }
1265   PetscFunctionReturn(0);
1266 }
1267 
1268 /* Sets MUMPS options from the options database */
1269 PetscErrorCode PetscSetMUMPSFromOptions(Mat F, Mat A)
1270 {
1271   Mat_MUMPS      *mumps = (Mat_MUMPS*)F->data;
1272   PetscErrorCode ierr;
1273   PetscInt       icntl,info[40],i,ninfo=40;
1274   PetscBool      flg;
1275 
1276   PetscFunctionBegin;
1277   ierr = PetscOptionsBegin(PetscObjectComm((PetscObject)A),((PetscObject)A)->prefix,"MUMPS Options","Mat");CHKERRQ(ierr);
1278   ierr = PetscOptionsInt("-mat_mumps_icntl_1","ICNTL(1): output stream for error messages","None",mumps->id.ICNTL(1),&icntl,&flg);CHKERRQ(ierr);
1279   if (flg) mumps->id.ICNTL(1) = icntl;
1280   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);
1281   if (flg) mumps->id.ICNTL(2) = icntl;
1282   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);
1283   if (flg) mumps->id.ICNTL(3) = icntl;
1284 
1285   ierr = PetscOptionsInt("-mat_mumps_icntl_4","ICNTL(4): level of printing (0 to 4)","None",mumps->id.ICNTL(4),&icntl,&flg);CHKERRQ(ierr);
1286   if (flg) mumps->id.ICNTL(4) = icntl;
1287   if (mumps->id.ICNTL(4) || PetscLogPrintInfo) mumps->id.ICNTL(3) = 6; /* resume MUMPS default id.ICNTL(3) = 6 */
1288 
1289   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);
1290   if (flg) mumps->id.ICNTL(6) = icntl;
1291 
1292   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);
1293   if (flg) {
1294     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");
1295     else mumps->id.ICNTL(7) = icntl;
1296   }
1297 
1298   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);
1299   /* 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() */
1300   ierr = PetscOptionsInt("-mat_mumps_icntl_10","ICNTL(10): max num of refinements","None",mumps->id.ICNTL(10),&mumps->id.ICNTL(10),NULL);CHKERRQ(ierr);
1301   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);
1302   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);
1303   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);
1304   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);
1305   ierr = PetscOptionsInt("-mat_mumps_icntl_19","ICNTL(19): computes the Schur complement","None",mumps->id.ICNTL(19),&mumps->id.ICNTL(19),NULL);CHKERRQ(ierr);
1306   if (mumps->id.ICNTL(19) <= 0 || mumps->id.ICNTL(19) > 3) { /* reset any schur data (if any) */
1307     ierr = MatMumpsResetSchur_Private(mumps);CHKERRQ(ierr);
1308   }
1309   /* 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 */
1310   /* 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 */
1311 
1312   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);
1313   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);
1314   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);
1315   if (mumps->id.ICNTL(24)) {
1316     mumps->id.ICNTL(13) = 1; /* turn-off ScaLAPACK to help with the correct detection of null pivots */
1317   }
1318 
1319   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);
1320   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);
1321   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);
1322   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);
1323   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);
1324   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);
1325   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);
1326   /* 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 */
1327   ierr = PetscOptionsInt("-mat_mumps_icntl_33","ICNTL(33): compute determinant","None",mumps->id.ICNTL(33),&mumps->id.ICNTL(33),NULL);CHKERRQ(ierr);
1328 
1329   ierr = PetscOptionsReal("-mat_mumps_cntl_1","CNTL(1): relative pivoting threshold","None",mumps->id.CNTL(1),&mumps->id.CNTL(1),NULL);CHKERRQ(ierr);
1330   ierr = PetscOptionsReal("-mat_mumps_cntl_2","CNTL(2): stopping criterion of refinement","None",mumps->id.CNTL(2),&mumps->id.CNTL(2),NULL);CHKERRQ(ierr);
1331   ierr = PetscOptionsReal("-mat_mumps_cntl_3","CNTL(3): absolute pivoting threshold","None",mumps->id.CNTL(3),&mumps->id.CNTL(3),NULL);CHKERRQ(ierr);
1332   ierr = PetscOptionsReal("-mat_mumps_cntl_4","CNTL(4): value for static pivoting","None",mumps->id.CNTL(4),&mumps->id.CNTL(4),NULL);CHKERRQ(ierr);
1333   ierr = PetscOptionsReal("-mat_mumps_cntl_5","CNTL(5): fixation for null pivots","None",mumps->id.CNTL(5),&mumps->id.CNTL(5),NULL);CHKERRQ(ierr);
1334 
1335   ierr = PetscOptionsString("-mat_mumps_ooc_tmpdir", "out of core directory", "None", mumps->id.ooc_tmpdir, mumps->id.ooc_tmpdir, 256, NULL);CHKERRQ(ierr);
1336 
1337   ierr = PetscOptionsIntArray("-mat_mumps_view_info","request INFO local to each processor","",info,&ninfo,NULL);CHKERRQ(ierr);
1338   if (ninfo) {
1339     if (ninfo > 40) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_USER,"number of INFO %d must <= 40\n",ninfo);
1340     ierr = PetscMalloc1(ninfo,&mumps->info);CHKERRQ(ierr);
1341     mumps->ninfo = ninfo;
1342     for (i=0; i<ninfo; i++) {
1343       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);
1344       else  mumps->info[i] = info[i];
1345     }
1346   }
1347 
1348   ierr = PetscOptionsEnd();CHKERRQ(ierr);
1349   PetscFunctionReturn(0);
1350 }
1351 
1352 PetscErrorCode PetscInitializeMUMPS(Mat A,Mat_MUMPS *mumps)
1353 {
1354   PetscErrorCode ierr;
1355 
1356   PetscFunctionBegin;
1357   ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)A), &mumps->myid);CHKERRQ(ierr);
1358   ierr = MPI_Comm_size(PetscObjectComm((PetscObject)A),&mumps->size);CHKERRQ(ierr);
1359   ierr = MPI_Comm_dup(PetscObjectComm((PetscObject)A),&(mumps->comm_mumps));CHKERRQ(ierr);
1360 
1361   mumps->id.comm_fortran = MPI_Comm_c2f(mumps->comm_mumps);
1362 
1363   mumps->id.job = JOB_INIT;
1364   mumps->id.par = 1;  /* host participates factorizaton and solve */
1365   mumps->id.sym = mumps->sym;
1366   PetscMUMPS_c(&mumps->id);
1367 
1368   mumps->scat_rhs     = NULL;
1369   mumps->scat_sol     = NULL;
1370 
1371   /* set PETSc-MUMPS default options - override MUMPS default */
1372   mumps->id.ICNTL(3) = 0;
1373   mumps->id.ICNTL(4) = 0;
1374   if (mumps->size == 1) {
1375     mumps->id.ICNTL(18) = 0;   /* centralized assembled matrix input */
1376   } else {
1377     mumps->id.ICNTL(18) = 3;   /* distributed assembled matrix input */
1378     mumps->id.ICNTL(20) = 0;   /* rhs is in dense format */
1379     mumps->id.ICNTL(21) = 1;   /* distributed solution */
1380   }
1381 
1382   /* schur */
1383   mumps->id.size_schur      = 0;
1384   mumps->id.listvar_schur   = NULL;
1385   mumps->id.schur           = NULL;
1386   mumps->sizeredrhs         = 0;
1387   mumps->schur_pivots       = NULL;
1388   mumps->schur_work         = NULL;
1389   mumps->schur_sol          = NULL;
1390   mumps->schur_sizesol      = 0;
1391   mumps->schur_factored     = PETSC_FALSE;
1392   mumps->schur_inverted     = PETSC_FALSE;
1393   mumps->schur_sym          = mumps->id.sym;
1394   PetscFunctionReturn(0);
1395 }
1396 
1397 PetscErrorCode MatFactorSymbolic_MUMPS_ReportIfError(Mat F,Mat A,const MatFactorInfo *info,Mat_MUMPS *mumps)
1398 {
1399   PetscErrorCode ierr;
1400 
1401   PetscFunctionBegin;
1402   if (mumps->id.INFOG(1) < 0) {
1403     if (A->erroriffailure) {
1404       SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error reported by MUMPS in analysis phase: INFOG(1)=%d\n",mumps->id.INFOG(1));
1405     } else {
1406       if (mumps->id.INFOG(1) == -6) {
1407         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);
1408         F->factorerrortype = MAT_FACTOR_STRUCT_ZEROPIVOT;
1409       } else if (mumps->id.INFOG(1) == -5 || mumps->id.INFOG(1) == -7) {
1410         ierr = PetscInfo2(F,"problem of workspace, INFOG(1)=%d, INFO(2)=%d\n",mumps->id.INFOG(1),mumps->id.INFO(2));CHKERRQ(ierr);
1411         F->factorerrortype = MAT_FACTOR_OUTMEMORY;
1412       } else {
1413         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);
1414         F->factorerrortype = MAT_FACTOR_OTHER;
1415       }
1416     }
1417   }
1418   PetscFunctionReturn(0);
1419 }
1420 
1421 /* Note Petsc r(=c) permutation is used when mumps->id.ICNTL(7)==1 with centralized assembled matrix input; otherwise r and c are ignored */
1422 PetscErrorCode MatLUFactorSymbolic_AIJMUMPS(Mat F,Mat A,IS r,IS c,const MatFactorInfo *info)
1423 {
1424   Mat_MUMPS      *mumps = (Mat_MUMPS*)F->data;
1425   PetscErrorCode ierr;
1426   Vec            b;
1427   IS             is_iden;
1428   const PetscInt M = A->rmap->N;
1429 
1430   PetscFunctionBegin;
1431   mumps->matstruc = DIFFERENT_NONZERO_PATTERN;
1432 
1433   /* Set MUMPS options from the options database */
1434   ierr = PetscSetMUMPSFromOptions(F,A);CHKERRQ(ierr);
1435 
1436   ierr = (*mumps->ConvertToTriples)(A, 1, MAT_INITIAL_MATRIX, &mumps->nz, &mumps->irn, &mumps->jcn, &mumps->val);CHKERRQ(ierr);
1437 
1438   /* analysis phase */
1439   /*----------------*/
1440   mumps->id.job = JOB_FACTSYMBOLIC;
1441   mumps->id.n   = M;
1442   switch (mumps->id.ICNTL(18)) {
1443   case 0:  /* centralized assembled matrix input */
1444     if (!mumps->myid) {
1445       mumps->id.nz =mumps->nz; mumps->id.irn=mumps->irn; mumps->id.jcn=mumps->jcn;
1446       if (mumps->id.ICNTL(6)>1) {
1447         mumps->id.a = (MumpsScalar*)mumps->val;
1448       }
1449       if (mumps->id.ICNTL(7) == 1) { /* use user-provide matrix ordering - assuming r = c ordering */
1450         /*
1451         PetscBool      flag;
1452         ierr = ISEqual(r,c,&flag);CHKERRQ(ierr);
1453         if (!flag) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_USER,"row_perm != col_perm");
1454         ierr = ISView(r,PETSC_VIEWER_STDOUT_SELF);
1455          */
1456         if (!mumps->myid) {
1457           const PetscInt *idx;
1458           PetscInt       i,*perm_in;
1459 
1460           ierr = PetscMalloc1(M,&perm_in);CHKERRQ(ierr);
1461           ierr = ISGetIndices(r,&idx);CHKERRQ(ierr);
1462 
1463           mumps->id.perm_in = perm_in;
1464           for (i=0; i<M; i++) perm_in[i] = idx[i]+1; /* perm_in[]: start from 1, not 0! */
1465           ierr = ISRestoreIndices(r,&idx);CHKERRQ(ierr);
1466         }
1467       }
1468     }
1469     break;
1470   case 3:  /* distributed assembled matrix input (size>1) */
1471     mumps->id.nz_loc = mumps->nz;
1472     mumps->id.irn_loc=mumps->irn; mumps->id.jcn_loc=mumps->jcn;
1473     if (mumps->id.ICNTL(6)>1) {
1474       mumps->id.a_loc = (MumpsScalar*)mumps->val;
1475     }
1476     /* MUMPS only supports centralized rhs. Create scatter scat_rhs for repeated use in MatSolve() */
1477     if (!mumps->myid) {
1478       ierr = VecCreateSeq(PETSC_COMM_SELF,A->rmap->N,&mumps->b_seq);CHKERRQ(ierr);
1479       ierr = ISCreateStride(PETSC_COMM_SELF,A->rmap->N,0,1,&is_iden);CHKERRQ(ierr);
1480     } else {
1481       ierr = VecCreateSeq(PETSC_COMM_SELF,0,&mumps->b_seq);CHKERRQ(ierr);
1482       ierr = ISCreateStride(PETSC_COMM_SELF,0,0,1,&is_iden);CHKERRQ(ierr);
1483     }
1484     ierr = MatCreateVecs(A,NULL,&b);CHKERRQ(ierr);
1485     ierr = VecScatterCreate(b,is_iden,mumps->b_seq,is_iden,&mumps->scat_rhs);CHKERRQ(ierr);
1486     ierr = ISDestroy(&is_iden);CHKERRQ(ierr);
1487     ierr = VecDestroy(&b);CHKERRQ(ierr);
1488     break;
1489   }
1490   PetscMUMPS_c(&mumps->id);
1491   ierr = MatFactorSymbolic_MUMPS_ReportIfError(F,A,info,mumps);CHKERRQ(ierr);
1492 
1493   F->ops->lufactornumeric = MatFactorNumeric_MUMPS;
1494   F->ops->solve           = MatSolve_MUMPS;
1495   F->ops->solvetranspose  = MatSolveTranspose_MUMPS;
1496   F->ops->matsolve        = MatMatSolve_MUMPS;
1497   PetscFunctionReturn(0);
1498 }
1499 
1500 /* Note the Petsc r and c permutations are ignored */
1501 PetscErrorCode MatLUFactorSymbolic_BAIJMUMPS(Mat F,Mat A,IS r,IS c,const MatFactorInfo *info)
1502 {
1503   Mat_MUMPS      *mumps = (Mat_MUMPS*)F->data;
1504   PetscErrorCode ierr;
1505   Vec            b;
1506   IS             is_iden;
1507   const PetscInt M = A->rmap->N;
1508 
1509   PetscFunctionBegin;
1510   mumps->matstruc = DIFFERENT_NONZERO_PATTERN;
1511 
1512   /* Set MUMPS options from the options database */
1513   ierr = PetscSetMUMPSFromOptions(F,A);CHKERRQ(ierr);
1514 
1515   ierr = (*mumps->ConvertToTriples)(A, 1, MAT_INITIAL_MATRIX, &mumps->nz, &mumps->irn, &mumps->jcn, &mumps->val);CHKERRQ(ierr);
1516 
1517   /* analysis phase */
1518   /*----------------*/
1519   mumps->id.job = JOB_FACTSYMBOLIC;
1520   mumps->id.n   = M;
1521   switch (mumps->id.ICNTL(18)) {
1522   case 0:  /* centralized assembled matrix input */
1523     if (!mumps->myid) {
1524       mumps->id.nz =mumps->nz; mumps->id.irn=mumps->irn; mumps->id.jcn=mumps->jcn;
1525       if (mumps->id.ICNTL(6)>1) {
1526         mumps->id.a = (MumpsScalar*)mumps->val;
1527       }
1528     }
1529     break;
1530   case 3:  /* distributed assembled matrix input (size>1) */
1531     mumps->id.nz_loc = mumps->nz;
1532     mumps->id.irn_loc=mumps->irn; mumps->id.jcn_loc=mumps->jcn;
1533     if (mumps->id.ICNTL(6)>1) {
1534       mumps->id.a_loc = (MumpsScalar*)mumps->val;
1535     }
1536     /* MUMPS only supports centralized rhs. Create scatter scat_rhs for repeated use in MatSolve() */
1537     if (!mumps->myid) {
1538       ierr = VecCreateSeq(PETSC_COMM_SELF,A->cmap->N,&mumps->b_seq);CHKERRQ(ierr);
1539       ierr = ISCreateStride(PETSC_COMM_SELF,A->cmap->N,0,1,&is_iden);CHKERRQ(ierr);
1540     } else {
1541       ierr = VecCreateSeq(PETSC_COMM_SELF,0,&mumps->b_seq);CHKERRQ(ierr);
1542       ierr = ISCreateStride(PETSC_COMM_SELF,0,0,1,&is_iden);CHKERRQ(ierr);
1543     }
1544     ierr = MatCreateVecs(A,NULL,&b);CHKERRQ(ierr);
1545     ierr = VecScatterCreate(b,is_iden,mumps->b_seq,is_iden,&mumps->scat_rhs);CHKERRQ(ierr);
1546     ierr = ISDestroy(&is_iden);CHKERRQ(ierr);
1547     ierr = VecDestroy(&b);CHKERRQ(ierr);
1548     break;
1549   }
1550   PetscMUMPS_c(&mumps->id);
1551   ierr = MatFactorSymbolic_MUMPS_ReportIfError(F,A,info,mumps);CHKERRQ(ierr);
1552 
1553   F->ops->lufactornumeric = MatFactorNumeric_MUMPS;
1554   F->ops->solve           = MatSolve_MUMPS;
1555   F->ops->solvetranspose  = MatSolveTranspose_MUMPS;
1556   PetscFunctionReturn(0);
1557 }
1558 
1559 /* Note the Petsc r permutation and factor info are ignored */
1560 PetscErrorCode MatCholeskyFactorSymbolic_MUMPS(Mat F,Mat A,IS r,const MatFactorInfo *info)
1561 {
1562   Mat_MUMPS      *mumps = (Mat_MUMPS*)F->data;
1563   PetscErrorCode ierr;
1564   Vec            b;
1565   IS             is_iden;
1566   const PetscInt M = A->rmap->N;
1567 
1568   PetscFunctionBegin;
1569   mumps->matstruc = DIFFERENT_NONZERO_PATTERN;
1570 
1571   /* Set MUMPS options from the options database */
1572   ierr = PetscSetMUMPSFromOptions(F,A);CHKERRQ(ierr);
1573 
1574   ierr = (*mumps->ConvertToTriples)(A, 1, MAT_INITIAL_MATRIX, &mumps->nz, &mumps->irn, &mumps->jcn, &mumps->val);CHKERRQ(ierr);
1575 
1576   /* analysis phase */
1577   /*----------------*/
1578   mumps->id.job = JOB_FACTSYMBOLIC;
1579   mumps->id.n   = M;
1580   switch (mumps->id.ICNTL(18)) {
1581   case 0:  /* centralized assembled matrix input */
1582     if (!mumps->myid) {
1583       mumps->id.nz =mumps->nz; mumps->id.irn=mumps->irn; mumps->id.jcn=mumps->jcn;
1584       if (mumps->id.ICNTL(6)>1) {
1585         mumps->id.a = (MumpsScalar*)mumps->val;
1586       }
1587     }
1588     break;
1589   case 3:  /* distributed assembled matrix input (size>1) */
1590     mumps->id.nz_loc = mumps->nz;
1591     mumps->id.irn_loc=mumps->irn; mumps->id.jcn_loc=mumps->jcn;
1592     if (mumps->id.ICNTL(6)>1) {
1593       mumps->id.a_loc = (MumpsScalar*)mumps->val;
1594     }
1595     /* MUMPS only supports centralized rhs. Create scatter scat_rhs for repeated use in MatSolve() */
1596     if (!mumps->myid) {
1597       ierr = VecCreateSeq(PETSC_COMM_SELF,A->cmap->N,&mumps->b_seq);CHKERRQ(ierr);
1598       ierr = ISCreateStride(PETSC_COMM_SELF,A->cmap->N,0,1,&is_iden);CHKERRQ(ierr);
1599     } else {
1600       ierr = VecCreateSeq(PETSC_COMM_SELF,0,&mumps->b_seq);CHKERRQ(ierr);
1601       ierr = ISCreateStride(PETSC_COMM_SELF,0,0,1,&is_iden);CHKERRQ(ierr);
1602     }
1603     ierr = MatCreateVecs(A,NULL,&b);CHKERRQ(ierr);
1604     ierr = VecScatterCreate(b,is_iden,mumps->b_seq,is_iden,&mumps->scat_rhs);CHKERRQ(ierr);
1605     ierr = ISDestroy(&is_iden);CHKERRQ(ierr);
1606     ierr = VecDestroy(&b);CHKERRQ(ierr);
1607     break;
1608   }
1609   PetscMUMPS_c(&mumps->id);
1610   ierr = MatFactorSymbolic_MUMPS_ReportIfError(F,A,info,mumps);CHKERRQ(ierr);
1611 
1612   F->ops->choleskyfactornumeric = MatFactorNumeric_MUMPS;
1613   F->ops->solve                 = MatSolve_MUMPS;
1614   F->ops->solvetranspose        = MatSolve_MUMPS;
1615   F->ops->matsolve              = MatMatSolve_MUMPS;
1616 #if defined(PETSC_USE_COMPLEX)
1617   F->ops->getinertia = NULL;
1618 #else
1619   F->ops->getinertia = MatGetInertia_SBAIJMUMPS;
1620 #endif
1621   PetscFunctionReturn(0);
1622 }
1623 
1624 PetscErrorCode MatView_MUMPS(Mat A,PetscViewer viewer)
1625 {
1626   PetscErrorCode    ierr;
1627   PetscBool         iascii;
1628   PetscViewerFormat format;
1629   Mat_MUMPS         *mumps=(Mat_MUMPS*)A->data;
1630 
1631   PetscFunctionBegin;
1632   /* check if matrix is mumps type */
1633   if (A->ops->solve != MatSolve_MUMPS) PetscFunctionReturn(0);
1634 
1635   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&iascii);CHKERRQ(ierr);
1636   if (iascii) {
1637     ierr = PetscViewerGetFormat(viewer,&format);CHKERRQ(ierr);
1638     if (format == PETSC_VIEWER_ASCII_INFO) {
1639       ierr = PetscViewerASCIIPrintf(viewer,"MUMPS run parameters:\n");CHKERRQ(ierr);
1640       ierr = PetscViewerASCIIPrintf(viewer,"  SYM (matrix type):                   %d \n",mumps->id.sym);CHKERRQ(ierr);
1641       ierr = PetscViewerASCIIPrintf(viewer,"  PAR (host participation):            %d \n",mumps->id.par);CHKERRQ(ierr);
1642       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(1) (output for error):         %d \n",mumps->id.ICNTL(1));CHKERRQ(ierr);
1643       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(2) (output of diagnostic msg): %d \n",mumps->id.ICNTL(2));CHKERRQ(ierr);
1644       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(3) (output for global info):   %d \n",mumps->id.ICNTL(3));CHKERRQ(ierr);
1645       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(4) (level of printing):        %d \n",mumps->id.ICNTL(4));CHKERRQ(ierr);
1646       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(5) (input mat struct):         %d \n",mumps->id.ICNTL(5));CHKERRQ(ierr);
1647       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(6) (matrix prescaling):        %d \n",mumps->id.ICNTL(6));CHKERRQ(ierr);
1648       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(7) (sequential matrix ordering):%d \n",mumps->id.ICNTL(7));CHKERRQ(ierr);
1649       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(8) (scaling strategy):        %d \n",mumps->id.ICNTL(8));CHKERRQ(ierr);
1650       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(10) (max num of refinements):  %d \n",mumps->id.ICNTL(10));CHKERRQ(ierr);
1651       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(11) (error analysis):          %d \n",mumps->id.ICNTL(11));CHKERRQ(ierr);
1652       if (mumps->id.ICNTL(11)>0) {
1653         ierr = PetscViewerASCIIPrintf(viewer,"    RINFOG(4) (inf norm of input mat):        %g\n",mumps->id.RINFOG(4));CHKERRQ(ierr);
1654         ierr = PetscViewerASCIIPrintf(viewer,"    RINFOG(5) (inf norm of solution):         %g\n",mumps->id.RINFOG(5));CHKERRQ(ierr);
1655         ierr = PetscViewerASCIIPrintf(viewer,"    RINFOG(6) (inf norm of residual):         %g\n",mumps->id.RINFOG(6));CHKERRQ(ierr);
1656         ierr = PetscViewerASCIIPrintf(viewer,"    RINFOG(7),RINFOG(8) (backward error est): %g, %g\n",mumps->id.RINFOG(7),mumps->id.RINFOG(8));CHKERRQ(ierr);
1657         ierr = PetscViewerASCIIPrintf(viewer,"    RINFOG(9) (error estimate):               %g \n",mumps->id.RINFOG(9));CHKERRQ(ierr);
1658         ierr = PetscViewerASCIIPrintf(viewer,"    RINFOG(10),RINFOG(11)(condition numbers): %g, %g\n",mumps->id.RINFOG(10),mumps->id.RINFOG(11));CHKERRQ(ierr);
1659       }
1660       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(12) (efficiency control):                         %d \n",mumps->id.ICNTL(12));CHKERRQ(ierr);
1661       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(13) (efficiency control):                         %d \n",mumps->id.ICNTL(13));CHKERRQ(ierr);
1662       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(14) (percentage of estimated workspace increase): %d \n",mumps->id.ICNTL(14));CHKERRQ(ierr);
1663       /* ICNTL(15-17) not used */
1664       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(18) (input mat struct):                           %d \n",mumps->id.ICNTL(18));CHKERRQ(ierr);
1665       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(19) (Schur complement info):                       %d \n",mumps->id.ICNTL(19));CHKERRQ(ierr);
1666       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(20) (rhs sparse pattern):                         %d \n",mumps->id.ICNTL(20));CHKERRQ(ierr);
1667       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(21) (solution struct):                            %d \n",mumps->id.ICNTL(21));CHKERRQ(ierr);
1668       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(22) (in-core/out-of-core facility):               %d \n",mumps->id.ICNTL(22));CHKERRQ(ierr);
1669       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(23) (max size of memory can be allocated locally):%d \n",mumps->id.ICNTL(23));CHKERRQ(ierr);
1670 
1671       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(24) (detection of null pivot rows):               %d \n",mumps->id.ICNTL(24));CHKERRQ(ierr);
1672       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(25) (computation of a null space basis):          %d \n",mumps->id.ICNTL(25));CHKERRQ(ierr);
1673       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(26) (Schur options for rhs or solution):          %d \n",mumps->id.ICNTL(26));CHKERRQ(ierr);
1674       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(27) (experimental parameter):                     %d \n",mumps->id.ICNTL(27));CHKERRQ(ierr);
1675       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(28) (use parallel or sequential ordering):        %d \n",mumps->id.ICNTL(28));CHKERRQ(ierr);
1676       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(29) (parallel ordering):                          %d \n",mumps->id.ICNTL(29));CHKERRQ(ierr);
1677 
1678       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(30) (user-specified set of entries in inv(A)):    %d \n",mumps->id.ICNTL(30));CHKERRQ(ierr);
1679       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(31) (factors is discarded in the solve phase):    %d \n",mumps->id.ICNTL(31));CHKERRQ(ierr);
1680       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(33) (compute determinant):                        %d \n",mumps->id.ICNTL(33));CHKERRQ(ierr);
1681 
1682       ierr = PetscViewerASCIIPrintf(viewer,"  CNTL(1) (relative pivoting threshold):      %g \n",mumps->id.CNTL(1));CHKERRQ(ierr);
1683       ierr = PetscViewerASCIIPrintf(viewer,"  CNTL(2) (stopping criterion of refinement): %g \n",mumps->id.CNTL(2));CHKERRQ(ierr);
1684       ierr = PetscViewerASCIIPrintf(viewer,"  CNTL(3) (absolute pivoting threshold):      %g \n",mumps->id.CNTL(3));CHKERRQ(ierr);
1685       ierr = PetscViewerASCIIPrintf(viewer,"  CNTL(4) (value of static pivoting):         %g \n",mumps->id.CNTL(4));CHKERRQ(ierr);
1686       ierr = PetscViewerASCIIPrintf(viewer,"  CNTL(5) (fixation for null pivots):         %g \n",mumps->id.CNTL(5));CHKERRQ(ierr);
1687 
1688       /* infomation local to each processor */
1689       ierr = PetscViewerASCIIPrintf(viewer, "  RINFO(1) (local estimated flops for the elimination after analysis): \n");CHKERRQ(ierr);
1690       ierr = PetscViewerASCIIPushSynchronized(viewer);CHKERRQ(ierr);
1691       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"    [%d] %g \n",mumps->myid,mumps->id.RINFO(1));CHKERRQ(ierr);
1692       ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
1693       ierr = PetscViewerASCIIPrintf(viewer, "  RINFO(2) (local estimated flops for the assembly after factorization): \n");CHKERRQ(ierr);
1694       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"    [%d]  %g \n",mumps->myid,mumps->id.RINFO(2));CHKERRQ(ierr);
1695       ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
1696       ierr = PetscViewerASCIIPrintf(viewer, "  RINFO(3) (local estimated flops for the elimination after factorization): \n");CHKERRQ(ierr);
1697       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"    [%d]  %g \n",mumps->myid,mumps->id.RINFO(3));CHKERRQ(ierr);
1698       ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
1699 
1700       ierr = PetscViewerASCIIPrintf(viewer, "  INFO(15) (estimated size of (in MB) MUMPS internal data for running numerical factorization): \n");CHKERRQ(ierr);
1701       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"  [%d] %d \n",mumps->myid,mumps->id.INFO(15));CHKERRQ(ierr);
1702       ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
1703 
1704       ierr = PetscViewerASCIIPrintf(viewer, "  INFO(16) (size of (in MB) MUMPS internal data used during numerical factorization): \n");CHKERRQ(ierr);
1705       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"    [%d] %d \n",mumps->myid,mumps->id.INFO(16));CHKERRQ(ierr);
1706       ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
1707 
1708       ierr = PetscViewerASCIIPrintf(viewer, "  INFO(23) (num of pivots eliminated on this processor after factorization): \n");CHKERRQ(ierr);
1709       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"    [%d] %d \n",mumps->myid,mumps->id.INFO(23));CHKERRQ(ierr);
1710       ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
1711 
1712       if (mumps->ninfo && mumps->ninfo <= 40){
1713         PetscInt i;
1714         for (i=0; i<mumps->ninfo; i++){
1715           ierr = PetscViewerASCIIPrintf(viewer, "  INFO(%d): \n",mumps->info[i]);CHKERRQ(ierr);
1716           ierr = PetscViewerASCIISynchronizedPrintf(viewer,"    [%d] %d \n",mumps->myid,mumps->id.INFO(mumps->info[i]));CHKERRQ(ierr);
1717           ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
1718         }
1719       }
1720 
1721 
1722       ierr = PetscViewerASCIIPopSynchronized(viewer);CHKERRQ(ierr);
1723 
1724       if (!mumps->myid) { /* information from the host */
1725         ierr = PetscViewerASCIIPrintf(viewer,"  RINFOG(1) (global estimated flops for the elimination after analysis): %g \n",mumps->id.RINFOG(1));CHKERRQ(ierr);
1726         ierr = PetscViewerASCIIPrintf(viewer,"  RINFOG(2) (global estimated flops for the assembly after factorization): %g \n",mumps->id.RINFOG(2));CHKERRQ(ierr);
1727         ierr = PetscViewerASCIIPrintf(viewer,"  RINFOG(3) (global estimated flops for the elimination after factorization): %g \n",mumps->id.RINFOG(3));CHKERRQ(ierr);
1728         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);
1729 
1730         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(3) (estimated real workspace for factors on all processors after analysis): %d \n",mumps->id.INFOG(3));CHKERRQ(ierr);
1731         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(4) (estimated integer workspace for factors on all processors after analysis): %d \n",mumps->id.INFOG(4));CHKERRQ(ierr);
1732         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(5) (estimated maximum front size in the complete tree): %d \n",mumps->id.INFOG(5));CHKERRQ(ierr);
1733         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(6) (number of nodes in the complete tree): %d \n",mumps->id.INFOG(6));CHKERRQ(ierr);
1734         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(7) (ordering option effectively use after analysis): %d \n",mumps->id.INFOG(7));CHKERRQ(ierr);
1735         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(8) (structural symmetry in percent of the permuted matrix after analysis): %d \n",mumps->id.INFOG(8));CHKERRQ(ierr);
1736         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(9) (total real/complex workspace to store the matrix factors after factorization): %d \n",mumps->id.INFOG(9));CHKERRQ(ierr);
1737         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(10) (total integer space store the matrix factors after factorization): %d \n",mumps->id.INFOG(10));CHKERRQ(ierr);
1738         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(11) (order of largest frontal matrix after factorization): %d \n",mumps->id.INFOG(11));CHKERRQ(ierr);
1739         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(12) (number of off-diagonal pivots): %d \n",mumps->id.INFOG(12));CHKERRQ(ierr);
1740         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(13) (number of delayed pivots after factorization): %d \n",mumps->id.INFOG(13));CHKERRQ(ierr);
1741         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(14) (number of memory compress after factorization): %d \n",mumps->id.INFOG(14));CHKERRQ(ierr);
1742         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(15) (number of steps of iterative refinement after solution): %d \n",mumps->id.INFOG(15));CHKERRQ(ierr);
1743         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);
1744         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);
1745         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);
1746         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);
1747         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(20) (estimated number of entries in the factors): %d \n",mumps->id.INFOG(20));CHKERRQ(ierr);
1748         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);
1749         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);
1750         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(23) (after analysis: value of ICNTL(6) effectively used): %d \n",mumps->id.INFOG(23));CHKERRQ(ierr);
1751         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(24) (after analysis: value of ICNTL(12) effectively used): %d \n",mumps->id.INFOG(24));CHKERRQ(ierr);
1752         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(25) (after factorization: number of pivots modified by static pivoting): %d \n",mumps->id.INFOG(25));CHKERRQ(ierr);
1753         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(28) (after factorization: number of null pivots encountered): %d\n",mumps->id.INFOG(28));CHKERRQ(ierr);
1754         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);
1755         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);
1756         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(32) (after analysis: type of analysis done): %d\n",mumps->id.INFOG(32));CHKERRQ(ierr);
1757         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(33) (value used for ICNTL(8)): %d\n",mumps->id.INFOG(33));CHKERRQ(ierr);
1758         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(34) (exponent of the determinant if determinant is requested): %d\n",mumps->id.INFOG(34));CHKERRQ(ierr);
1759       }
1760     }
1761   }
1762   PetscFunctionReturn(0);
1763 }
1764 
1765 PetscErrorCode MatGetInfo_MUMPS(Mat A,MatInfoType flag,MatInfo *info)
1766 {
1767   Mat_MUMPS *mumps =(Mat_MUMPS*)A->data;
1768 
1769   PetscFunctionBegin;
1770   info->block_size        = 1.0;
1771   info->nz_allocated      = mumps->id.INFOG(20);
1772   info->nz_used           = mumps->id.INFOG(20);
1773   info->nz_unneeded       = 0.0;
1774   info->assemblies        = 0.0;
1775   info->mallocs           = 0.0;
1776   info->memory            = 0.0;
1777   info->fill_ratio_given  = 0;
1778   info->fill_ratio_needed = 0;
1779   info->factor_mallocs    = 0;
1780   PetscFunctionReturn(0);
1781 }
1782 
1783 /* -------------------------------------------------------------------------------------------*/
1784 PetscErrorCode MatFactorSetSchurIS_MUMPS(Mat F, IS is)
1785 {
1786   Mat_MUMPS      *mumps =(Mat_MUMPS*)F->data;
1787   const PetscInt *idxs;
1788   PetscInt       size,i;
1789   PetscErrorCode ierr;
1790 
1791   PetscFunctionBegin;
1792   if (mumps->size > 1) {
1793     PetscBool ls,gs;
1794 
1795     ierr = ISGetLocalSize(is,&size);CHKERRQ(ierr);
1796     ls   = mumps->myid ? (size ? PETSC_FALSE : PETSC_TRUE) : PETSC_TRUE;
1797     ierr = MPI_Allreduce(&ls,&gs,1,MPIU_BOOL,MPI_LAND,mumps->comm_mumps);CHKERRQ(ierr);
1798     if (!gs) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"MUMPS distributed parallel Schur complements not yet supported from PETSc\n");
1799   }
1800   ierr = ISGetLocalSize(is,&size);CHKERRQ(ierr);
1801   if (mumps->id.size_schur != size) {
1802     ierr = PetscFree2(mumps->id.listvar_schur,mumps->id.schur);CHKERRQ(ierr);
1803     mumps->id.size_schur = size;
1804     mumps->id.schur_lld = size;
1805     ierr = PetscMalloc2(size,&mumps->id.listvar_schur,size*size,&mumps->id.schur);CHKERRQ(ierr);
1806   }
1807   ierr = ISGetIndices(is,&idxs);CHKERRQ(ierr);
1808   ierr = PetscMemcpy(mumps->id.listvar_schur,idxs,size*sizeof(PetscInt));CHKERRQ(ierr);
1809   /* MUMPS expects Fortran style indices */
1810   for (i=0;i<size;i++) mumps->id.listvar_schur[i]++;
1811   ierr = ISRestoreIndices(is,&idxs);CHKERRQ(ierr);
1812   if (mumps->size > 1) {
1813     mumps->id.ICNTL(19) = 1; /* MUMPS returns Schur centralized on the host */
1814   } else {
1815     if (F->factortype == MAT_FACTOR_LU) {
1816       mumps->id.ICNTL(19) = 3; /* MUMPS returns full matrix */
1817     } else {
1818       mumps->id.ICNTL(19) = 2; /* MUMPS returns lower triangular part */
1819     }
1820   }
1821   /* set a special value of ICNTL (not handled my MUMPS) to be used in the solve phase by PETSc */
1822   mumps->id.ICNTL(26) = -1;
1823   PetscFunctionReturn(0);
1824 }
1825 
1826 /* -------------------------------------------------------------------------------------------*/
1827 PetscErrorCode MatFactorCreateSchurComplement_MUMPS(Mat F,Mat* S)
1828 {
1829   Mat            St;
1830   Mat_MUMPS      *mumps =(Mat_MUMPS*)F->data;
1831   PetscScalar    *array;
1832 #if defined(PETSC_USE_COMPLEX)
1833   PetscScalar    im = PetscSqrtScalar((PetscScalar)-1.0);
1834 #endif
1835   PetscErrorCode ierr;
1836 
1837   PetscFunctionBegin;
1838   if (!mumps->id.ICNTL(19)) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur complement mode not selected! You should call MatFactorSetSchurIS to enable it");
1839   ierr = MatCreate(PETSC_COMM_SELF,&St);CHKERRQ(ierr);
1840   ierr = MatSetSizes(St,PETSC_DECIDE,PETSC_DECIDE,mumps->id.size_schur,mumps->id.size_schur);CHKERRQ(ierr);
1841   ierr = MatSetType(St,MATDENSE);CHKERRQ(ierr);
1842   ierr = MatSetUp(St);CHKERRQ(ierr);
1843   ierr = MatDenseGetArray(St,&array);CHKERRQ(ierr);
1844   if (!mumps->sym) { /* MUMPS always return a full matrix */
1845     if (mumps->id.ICNTL(19) == 1) { /* stored by rows */
1846       PetscInt i,j,N=mumps->id.size_schur;
1847       for (i=0;i<N;i++) {
1848         for (j=0;j<N;j++) {
1849 #if !defined(PETSC_USE_COMPLEX)
1850           PetscScalar val = mumps->id.schur[i*N+j];
1851 #else
1852           PetscScalar val = mumps->id.schur[i*N+j].r + im*mumps->id.schur[i*N+j].i;
1853 #endif
1854           array[j*N+i] = val;
1855         }
1856       }
1857     } else { /* stored by columns */
1858       ierr = PetscMemcpy(array,mumps->id.schur,mumps->id.size_schur*mumps->id.size_schur*sizeof(PetscScalar));CHKERRQ(ierr);
1859     }
1860   } else { /* either full or lower-triangular (not packed) */
1861     if (mumps->id.ICNTL(19) == 2) { /* lower triangular stored by columns */
1862       PetscInt i,j,N=mumps->id.size_schur;
1863       for (i=0;i<N;i++) {
1864         for (j=i;j<N;j++) {
1865 #if !defined(PETSC_USE_COMPLEX)
1866           PetscScalar val = mumps->id.schur[i*N+j];
1867 #else
1868           PetscScalar val = mumps->id.schur[i*N+j].r + im*mumps->id.schur[i*N+j].i;
1869 #endif
1870           array[i*N+j] = val;
1871           array[j*N+i] = val;
1872         }
1873       }
1874     } else if (mumps->id.ICNTL(19) == 3) { /* full matrix */
1875       ierr = PetscMemcpy(array,mumps->id.schur,mumps->id.size_schur*mumps->id.size_schur*sizeof(PetscScalar));CHKERRQ(ierr);
1876     } else { /* ICNTL(19) == 1 lower triangular stored by rows */
1877       PetscInt i,j,N=mumps->id.size_schur;
1878       for (i=0;i<N;i++) {
1879         for (j=0;j<i+1;j++) {
1880 #if !defined(PETSC_USE_COMPLEX)
1881           PetscScalar val = mumps->id.schur[i*N+j];
1882 #else
1883           PetscScalar val = mumps->id.schur[i*N+j].r + im*mumps->id.schur[i*N+j].i;
1884 #endif
1885           array[i*N+j] = val;
1886           array[j*N+i] = val;
1887         }
1888       }
1889     }
1890   }
1891   ierr = MatDenseRestoreArray(St,&array);CHKERRQ(ierr);
1892   *S = St;
1893   PetscFunctionReturn(0);
1894 }
1895 
1896 /* -------------------------------------------------------------------------------------------*/
1897 PetscErrorCode MatFactorGetSchurComplement_MUMPS(Mat F,Mat* S)
1898 {
1899   Mat            St;
1900   Mat_MUMPS      *mumps =(Mat_MUMPS*)F->data;
1901   PetscErrorCode ierr;
1902 
1903   PetscFunctionBegin;
1904   if (!mumps->id.ICNTL(19)) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur complement mode not selected! You should call MatFactorSetSchurIS to enable it");
1905   /* 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 */
1906   ierr = MatCreateSeqDense(PETSC_COMM_SELF,mumps->id.size_schur,mumps->id.size_schur,(PetscScalar*)mumps->id.schur,&St);CHKERRQ(ierr);
1907   *S = St;
1908   PetscFunctionReturn(0);
1909 }
1910 
1911 /* -------------------------------------------------------------------------------------------*/
1912 PetscErrorCode MatFactorFactorizeSchurComplement_MUMPS(Mat F)
1913 {
1914   Mat_MUMPS      *mumps =(Mat_MUMPS*)F->data;
1915   PetscErrorCode ierr;
1916 
1917   PetscFunctionBegin;
1918   if (!mumps->id.ICNTL(19)) { /* do nothing */
1919     PetscFunctionReturn(0);
1920   }
1921   if (mumps->size > 1) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_SUP,"Parallel Schur complement not yet supported from PETSc");
1922   ierr = MatMumpsFactorSchur_Private(mumps);CHKERRQ(ierr);
1923   PetscFunctionReturn(0);
1924 }
1925 
1926 PetscErrorCode MatFactorInvertSchurComplement_MUMPS(Mat F)
1927 {
1928   Mat_MUMPS      *mumps =(Mat_MUMPS*)F->data;
1929   PetscErrorCode ierr;
1930 
1931   PetscFunctionBegin;
1932   if (!mumps->id.ICNTL(19)) { /* do nothing */
1933     PetscFunctionReturn(0);
1934   }
1935   if (mumps->size > 1) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_SUP,"Parallel Schur complement not yet supported from PETSc");
1936   ierr = MatMumpsInvertSchur_Private(mumps);CHKERRQ(ierr);
1937   PetscFunctionReturn(0);
1938 }
1939 
1940 /* -------------------------------------------------------------------------------------------*/
1941 PetscErrorCode MatFactorSolveSchurComplement_MUMPS(Mat F, Vec rhs, Vec sol)
1942 {
1943   Mat_MUMPS      *mumps =(Mat_MUMPS*)F->data;
1944   MumpsScalar    *orhs;
1945   PetscScalar    *osol,*nrhs,*nsol;
1946   PetscInt       orhs_size,osol_size,olrhs_size;
1947   PetscErrorCode ierr;
1948 
1949   PetscFunctionBegin;
1950   if (!mumps->id.ICNTL(19)) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur complement mode not selected! You should call MatFactorSetSchurIS to enable it");
1951   if (mumps->size > 1) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_SUP,"Parallel Schur complement not yet supported from PETSc");
1952 
1953   /* swap pointers */
1954   orhs = mumps->id.redrhs;
1955   olrhs_size = mumps->id.lredrhs;
1956   orhs_size = mumps->sizeredrhs;
1957   osol = mumps->schur_sol;
1958   osol_size = mumps->schur_sizesol;
1959   ierr = VecGetArray(rhs,&nrhs);CHKERRQ(ierr);
1960   ierr = VecGetArray(sol,&nsol);CHKERRQ(ierr);
1961   mumps->id.redrhs = (MumpsScalar*)nrhs;
1962   ierr = VecGetLocalSize(rhs,&mumps->sizeredrhs);CHKERRQ(ierr);
1963   mumps->id.lredrhs = mumps->sizeredrhs;
1964   mumps->schur_sol = nsol;
1965   ierr = VecGetLocalSize(sol,&mumps->schur_sizesol);CHKERRQ(ierr);
1966 
1967   /* solve Schur complement */
1968   mumps->id.nrhs = 1;
1969   ierr = MatMumpsSolveSchur_Private(mumps,PETSC_FALSE);CHKERRQ(ierr);
1970   /* restore pointers */
1971   ierr = VecRestoreArray(rhs,&nrhs);CHKERRQ(ierr);
1972   ierr = VecRestoreArray(sol,&nsol);CHKERRQ(ierr);
1973   mumps->id.redrhs = orhs;
1974   mumps->id.lredrhs = olrhs_size;
1975   mumps->sizeredrhs = orhs_size;
1976   mumps->schur_sol = osol;
1977   mumps->schur_sizesol = osol_size;
1978   PetscFunctionReturn(0);
1979 }
1980 
1981 /* -------------------------------------------------------------------------------------------*/
1982 PetscErrorCode MatFactorSolveSchurComplementTranspose_MUMPS(Mat F, Vec rhs, Vec sol)
1983 {
1984   Mat_MUMPS      *mumps =(Mat_MUMPS*)F->data;
1985   MumpsScalar    *orhs;
1986   PetscScalar    *osol,*nrhs,*nsol;
1987   PetscInt       orhs_size,osol_size;
1988   PetscErrorCode ierr;
1989 
1990   PetscFunctionBegin;
1991   if (!mumps->id.ICNTL(19)) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur complement mode not selected! You should call MatFactorSetSchurIS to enable it");
1992   if (mumps->size > 1) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_SUP,"Parallel Schur complement not yet supported from PETSc");
1993 
1994   /* swap pointers */
1995   orhs = mumps->id.redrhs;
1996   orhs_size = mumps->sizeredrhs;
1997   osol = mumps->schur_sol;
1998   osol_size = mumps->schur_sizesol;
1999   ierr = VecGetArray(rhs,&nrhs);CHKERRQ(ierr);
2000   ierr = VecGetArray(sol,&nsol);CHKERRQ(ierr);
2001   mumps->id.redrhs = (MumpsScalar*)nrhs;
2002   ierr = VecGetLocalSize(rhs,&mumps->sizeredrhs);CHKERRQ(ierr);
2003   mumps->schur_sol = nsol;
2004   ierr = VecGetLocalSize(sol,&mumps->schur_sizesol);CHKERRQ(ierr);
2005 
2006   /* solve Schur complement */
2007   mumps->id.nrhs = 1;
2008   mumps->id.ICNTL(9) = 0;
2009   ierr = MatMumpsSolveSchur_Private(mumps,PETSC_FALSE);CHKERRQ(ierr);
2010   mumps->id.ICNTL(9) = 1;
2011   /* restore pointers */
2012   ierr = VecRestoreArray(rhs,&nrhs);CHKERRQ(ierr);
2013   ierr = VecRestoreArray(sol,&nsol);CHKERRQ(ierr);
2014   mumps->id.redrhs = orhs;
2015   mumps->sizeredrhs = orhs_size;
2016   mumps->schur_sol = osol;
2017   mumps->schur_sizesol = osol_size;
2018   PetscFunctionReturn(0);
2019 }
2020 
2021 /* -------------------------------------------------------------------------------------------*/
2022 PetscErrorCode MatFactorSetSchurComplementSolverType_MUMPS(Mat F, PetscInt sym)
2023 {
2024   Mat_MUMPS *mumps =(Mat_MUMPS*)F->data;
2025 
2026   PetscFunctionBegin;
2027   if (mumps->schur_factored && mumps->sym != mumps->schur_sym) {
2028     SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ARG_WRONG,"Cannot change the Schur solver! Schur complement data has been already factored");
2029   }
2030   mumps->schur_sym = sym;
2031   PetscFunctionReturn(0);
2032 }
2033 
2034 /* -------------------------------------------------------------------------------------------*/
2035 PetscErrorCode MatMumpsSetIcntl_MUMPS(Mat F,PetscInt icntl,PetscInt ival)
2036 {
2037   Mat_MUMPS *mumps =(Mat_MUMPS*)F->data;
2038 
2039   PetscFunctionBegin;
2040   mumps->id.ICNTL(icntl) = ival;
2041   PetscFunctionReturn(0);
2042 }
2043 
2044 PetscErrorCode MatMumpsGetIcntl_MUMPS(Mat F,PetscInt icntl,PetscInt *ival)
2045 {
2046   Mat_MUMPS *mumps =(Mat_MUMPS*)F->data;
2047 
2048   PetscFunctionBegin;
2049   *ival = mumps->id.ICNTL(icntl);
2050   PetscFunctionReturn(0);
2051 }
2052 
2053 /*@
2054   MatMumpsSetIcntl - Set MUMPS parameter ICNTL()
2055 
2056    Logically Collective on Mat
2057 
2058    Input Parameters:
2059 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
2060 .  icntl - index of MUMPS parameter array ICNTL()
2061 -  ival - value of MUMPS ICNTL(icntl)
2062 
2063   Options Database:
2064 .   -mat_mumps_icntl_<icntl> <ival>
2065 
2066    Level: beginner
2067 
2068    References:
2069 .     MUMPS Users' Guide
2070 
2071 .seealso: MatGetFactor(), MatMumpsSetICntl(), MatMumpsGetIcntl(), MatMumpsSetCntl(), MatMumpsGetCntl(), MatMumpsGetInfo(), MatMumpsGetInfog(), MatMumpsGetRinfo(), MatMumpsGetRinfog()
2072  @*/
2073 PetscErrorCode MatMumpsSetIcntl(Mat F,PetscInt icntl,PetscInt ival)
2074 {
2075   PetscErrorCode ierr;
2076 
2077   PetscFunctionBegin;
2078   PetscValidType(F,1);
2079   if (!F->factortype) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ARG_WRONGSTATE,"Only for factored matrix");
2080   PetscValidLogicalCollectiveInt(F,icntl,2);
2081   PetscValidLogicalCollectiveInt(F,ival,3);
2082   ierr = PetscTryMethod(F,"MatMumpsSetIcntl_C",(Mat,PetscInt,PetscInt),(F,icntl,ival));CHKERRQ(ierr);
2083   PetscFunctionReturn(0);
2084 }
2085 
2086 /*@
2087   MatMumpsGetIcntl - Get MUMPS parameter ICNTL()
2088 
2089    Logically Collective on Mat
2090 
2091    Input Parameters:
2092 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
2093 -  icntl - index of MUMPS parameter array ICNTL()
2094 
2095   Output Parameter:
2096 .  ival - value of MUMPS ICNTL(icntl)
2097 
2098    Level: beginner
2099 
2100    References:
2101 .     MUMPS Users' Guide
2102 
2103 .seealso: MatGetFactor(), MatMumpsSetICntl(), MatMumpsGetIcntl(), MatMumpsSetCntl(), MatMumpsGetCntl(), MatMumpsGetInfo(), MatMumpsGetInfog(), MatMumpsGetRinfo(), MatMumpsGetRinfog()
2104 @*/
2105 PetscErrorCode MatMumpsGetIcntl(Mat F,PetscInt icntl,PetscInt *ival)
2106 {
2107   PetscErrorCode ierr;
2108 
2109   PetscFunctionBegin;
2110   PetscValidType(F,1);
2111   if (!F->factortype) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ARG_WRONGSTATE,"Only for factored matrix");
2112   PetscValidLogicalCollectiveInt(F,icntl,2);
2113   PetscValidIntPointer(ival,3);
2114   ierr = PetscUseMethod(F,"MatMumpsGetIcntl_C",(Mat,PetscInt,PetscInt*),(F,icntl,ival));CHKERRQ(ierr);
2115   PetscFunctionReturn(0);
2116 }
2117 
2118 /* -------------------------------------------------------------------------------------------*/
2119 PetscErrorCode MatMumpsSetCntl_MUMPS(Mat F,PetscInt icntl,PetscReal val)
2120 {
2121   Mat_MUMPS *mumps =(Mat_MUMPS*)F->data;
2122 
2123   PetscFunctionBegin;
2124   mumps->id.CNTL(icntl) = val;
2125   PetscFunctionReturn(0);
2126 }
2127 
2128 PetscErrorCode MatMumpsGetCntl_MUMPS(Mat F,PetscInt icntl,PetscReal *val)
2129 {
2130   Mat_MUMPS *mumps =(Mat_MUMPS*)F->data;
2131 
2132   PetscFunctionBegin;
2133   *val = mumps->id.CNTL(icntl);
2134   PetscFunctionReturn(0);
2135 }
2136 
2137 /*@
2138   MatMumpsSetCntl - Set MUMPS parameter CNTL()
2139 
2140    Logically Collective on Mat
2141 
2142    Input Parameters:
2143 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
2144 .  icntl - index of MUMPS parameter array CNTL()
2145 -  val - value of MUMPS CNTL(icntl)
2146 
2147   Options Database:
2148 .   -mat_mumps_cntl_<icntl> <val>
2149 
2150    Level: beginner
2151 
2152    References:
2153 .     MUMPS Users' Guide
2154 
2155 .seealso: MatGetFactor(), MatMumpsSetICntl(), MatMumpsGetIcntl(), MatMumpsSetCntl(), MatMumpsGetCntl(), MatMumpsGetInfo(), MatMumpsGetInfog(), MatMumpsGetRinfo(), MatMumpsGetRinfog()
2156 @*/
2157 PetscErrorCode MatMumpsSetCntl(Mat F,PetscInt icntl,PetscReal val)
2158 {
2159   PetscErrorCode ierr;
2160 
2161   PetscFunctionBegin;
2162   PetscValidType(F,1);
2163   if (!F->factortype) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ARG_WRONGSTATE,"Only for factored matrix");
2164   PetscValidLogicalCollectiveInt(F,icntl,2);
2165   PetscValidLogicalCollectiveReal(F,val,3);
2166   ierr = PetscTryMethod(F,"MatMumpsSetCntl_C",(Mat,PetscInt,PetscReal),(F,icntl,val));CHKERRQ(ierr);
2167   PetscFunctionReturn(0);
2168 }
2169 
2170 /*@
2171   MatMumpsGetCntl - Get MUMPS parameter CNTL()
2172 
2173    Logically Collective on Mat
2174 
2175    Input Parameters:
2176 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
2177 -  icntl - index of MUMPS parameter array CNTL()
2178 
2179   Output Parameter:
2180 .  val - value of MUMPS CNTL(icntl)
2181 
2182    Level: beginner
2183 
2184    References:
2185 .      MUMPS Users' Guide
2186 
2187 .seealso: MatGetFactor(), MatMumpsSetICntl(), MatMumpsGetIcntl(), MatMumpsSetCntl(), MatMumpsGetCntl(), MatMumpsGetInfo(), MatMumpsGetInfog(), MatMumpsGetRinfo(), MatMumpsGetRinfog()
2188 @*/
2189 PetscErrorCode MatMumpsGetCntl(Mat F,PetscInt icntl,PetscReal *val)
2190 {
2191   PetscErrorCode ierr;
2192 
2193   PetscFunctionBegin;
2194   PetscValidType(F,1);
2195   if (!F->factortype) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ARG_WRONGSTATE,"Only for factored matrix");
2196   PetscValidLogicalCollectiveInt(F,icntl,2);
2197   PetscValidRealPointer(val,3);
2198   ierr = PetscUseMethod(F,"MatMumpsGetCntl_C",(Mat,PetscInt,PetscReal*),(F,icntl,val));CHKERRQ(ierr);
2199   PetscFunctionReturn(0);
2200 }
2201 
2202 PetscErrorCode MatMumpsGetInfo_MUMPS(Mat F,PetscInt icntl,PetscInt *info)
2203 {
2204   Mat_MUMPS *mumps =(Mat_MUMPS*)F->data;
2205 
2206   PetscFunctionBegin;
2207   *info = mumps->id.INFO(icntl);
2208   PetscFunctionReturn(0);
2209 }
2210 
2211 PetscErrorCode MatMumpsGetInfog_MUMPS(Mat F,PetscInt icntl,PetscInt *infog)
2212 {
2213   Mat_MUMPS *mumps =(Mat_MUMPS*)F->data;
2214 
2215   PetscFunctionBegin;
2216   *infog = mumps->id.INFOG(icntl);
2217   PetscFunctionReturn(0);
2218 }
2219 
2220 PetscErrorCode MatMumpsGetRinfo_MUMPS(Mat F,PetscInt icntl,PetscReal *rinfo)
2221 {
2222   Mat_MUMPS *mumps =(Mat_MUMPS*)F->data;
2223 
2224   PetscFunctionBegin;
2225   *rinfo = mumps->id.RINFO(icntl);
2226   PetscFunctionReturn(0);
2227 }
2228 
2229 PetscErrorCode MatMumpsGetRinfog_MUMPS(Mat F,PetscInt icntl,PetscReal *rinfog)
2230 {
2231   Mat_MUMPS *mumps =(Mat_MUMPS*)F->data;
2232 
2233   PetscFunctionBegin;
2234   *rinfog = mumps->id.RINFOG(icntl);
2235   PetscFunctionReturn(0);
2236 }
2237 
2238 /*@
2239   MatMumpsGetInfo - Get MUMPS parameter INFO()
2240 
2241    Logically Collective on Mat
2242 
2243    Input Parameters:
2244 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
2245 -  icntl - index of MUMPS parameter array INFO()
2246 
2247   Output Parameter:
2248 .  ival - value of MUMPS INFO(icntl)
2249 
2250    Level: beginner
2251 
2252    References:
2253 .      MUMPS Users' Guide
2254 
2255 .seealso: MatGetFactor(), MatMumpsSetICntl(), MatMumpsGetIcntl(), MatMumpsSetCntl(), MatMumpsGetCntl(), MatMumpsGetInfo(), MatMumpsGetInfog(), MatMumpsGetRinfo(), MatMumpsGetRinfog()
2256 @*/
2257 PetscErrorCode MatMumpsGetInfo(Mat F,PetscInt icntl,PetscInt *ival)
2258 {
2259   PetscErrorCode ierr;
2260 
2261   PetscFunctionBegin;
2262   PetscValidType(F,1);
2263   if (!F->factortype) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ARG_WRONGSTATE,"Only for factored matrix");
2264   PetscValidIntPointer(ival,3);
2265   ierr = PetscUseMethod(F,"MatMumpsGetInfo_C",(Mat,PetscInt,PetscInt*),(F,icntl,ival));CHKERRQ(ierr);
2266   PetscFunctionReturn(0);
2267 }
2268 
2269 /*@
2270   MatMumpsGetInfog - Get MUMPS parameter INFOG()
2271 
2272    Logically Collective on Mat
2273 
2274    Input Parameters:
2275 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
2276 -  icntl - index of MUMPS parameter array INFOG()
2277 
2278   Output Parameter:
2279 .  ival - value of MUMPS INFOG(icntl)
2280 
2281    Level: beginner
2282 
2283    References:
2284 .      MUMPS Users' Guide
2285 
2286 .seealso: MatGetFactor(), MatMumpsSetICntl(), MatMumpsGetIcntl(), MatMumpsSetCntl(), MatMumpsGetCntl(), MatMumpsGetInfo(), MatMumpsGetInfog(), MatMumpsGetRinfo(), MatMumpsGetRinfog()
2287 @*/
2288 PetscErrorCode MatMumpsGetInfog(Mat F,PetscInt icntl,PetscInt *ival)
2289 {
2290   PetscErrorCode ierr;
2291 
2292   PetscFunctionBegin;
2293   PetscValidType(F,1);
2294   if (!F->factortype) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ARG_WRONGSTATE,"Only for factored matrix");
2295   PetscValidIntPointer(ival,3);
2296   ierr = PetscUseMethod(F,"MatMumpsGetInfog_C",(Mat,PetscInt,PetscInt*),(F,icntl,ival));CHKERRQ(ierr);
2297   PetscFunctionReturn(0);
2298 }
2299 
2300 /*@
2301   MatMumpsGetRinfo - Get MUMPS parameter RINFO()
2302 
2303    Logically Collective on Mat
2304 
2305    Input Parameters:
2306 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
2307 -  icntl - index of MUMPS parameter array RINFO()
2308 
2309   Output Parameter:
2310 .  val - value of MUMPS RINFO(icntl)
2311 
2312    Level: beginner
2313 
2314    References:
2315 .       MUMPS Users' Guide
2316 
2317 .seealso: MatGetFactor(), MatMumpsSetICntl(), MatMumpsGetIcntl(), MatMumpsSetCntl(), MatMumpsGetCntl(), MatMumpsGetInfo(), MatMumpsGetInfog(), MatMumpsGetRinfo(), MatMumpsGetRinfog()
2318 @*/
2319 PetscErrorCode MatMumpsGetRinfo(Mat F,PetscInt icntl,PetscReal *val)
2320 {
2321   PetscErrorCode ierr;
2322 
2323   PetscFunctionBegin;
2324   PetscValidType(F,1);
2325   if (!F->factortype) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ARG_WRONGSTATE,"Only for factored matrix");
2326   PetscValidRealPointer(val,3);
2327   ierr = PetscUseMethod(F,"MatMumpsGetRinfo_C",(Mat,PetscInt,PetscReal*),(F,icntl,val));CHKERRQ(ierr);
2328   PetscFunctionReturn(0);
2329 }
2330 
2331 /*@
2332   MatMumpsGetRinfog - Get MUMPS parameter RINFOG()
2333 
2334    Logically Collective on Mat
2335 
2336    Input Parameters:
2337 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
2338 -  icntl - index of MUMPS parameter array RINFOG()
2339 
2340   Output Parameter:
2341 .  val - value of MUMPS RINFOG(icntl)
2342 
2343    Level: beginner
2344 
2345    References:
2346 .      MUMPS Users' Guide
2347 
2348 .seealso: MatGetFactor(), MatMumpsSetICntl(), MatMumpsGetIcntl(), MatMumpsSetCntl(), MatMumpsGetCntl(), MatMumpsGetInfo(), MatMumpsGetInfog(), MatMumpsGetRinfo(), MatMumpsGetRinfog()
2349 @*/
2350 PetscErrorCode MatMumpsGetRinfog(Mat F,PetscInt icntl,PetscReal *val)
2351 {
2352   PetscErrorCode ierr;
2353 
2354   PetscFunctionBegin;
2355   PetscValidType(F,1);
2356   if (!F->factortype) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ARG_WRONGSTATE,"Only for factored matrix");
2357   PetscValidRealPointer(val,3);
2358   ierr = PetscUseMethod(F,"MatMumpsGetRinfog_C",(Mat,PetscInt,PetscReal*),(F,icntl,val));CHKERRQ(ierr);
2359   PetscFunctionReturn(0);
2360 }
2361 
2362 /*MC
2363   MATSOLVERMUMPS -  A matrix type providing direct solvers (LU and Cholesky) for
2364   distributed and sequential matrices via the external package MUMPS.
2365 
2366   Works with MATAIJ and MATSBAIJ matrices
2367 
2368   Use ./configure --download-mumps --download-scalapack --download-parmetis --download-metis --download-ptscotch  to have PETSc installed with MUMPS
2369 
2370   Use -pc_type cholesky or lu -pc_factor_mat_solver_package mumps to us this direct solver
2371 
2372   Options Database Keys:
2373 +  -mat_mumps_icntl_1 - ICNTL(1): output stream for error messages
2374 .  -mat_mumps_icntl_2 - ICNTL(2): output stream for diagnostic printing, statistics, and warning
2375 .  -mat_mumps_icntl_3 -  ICNTL(3): output stream for global information, collected on the host
2376 .  -mat_mumps_icntl_4 -  ICNTL(4): level of printing (0 to 4)
2377 .  -mat_mumps_icntl_6 - ICNTL(6): permutes to a zero-free diagonal and/or scale the matrix (0 to 7)
2378 .  -mat_mumps_icntl_7 - ICNTL(7): computes a symmetric permutation in sequential analysis (0 to 7). 3=Scotch, 4=PORD, 5=Metis
2379 .  -mat_mumps_icntl_8  - ICNTL(8): scaling strategy (-2 to 8 or 77)
2380 .  -mat_mumps_icntl_10  - ICNTL(10): max num of refinements
2381 .  -mat_mumps_icntl_11  - ICNTL(11): statistics related to an error analysis (via -ksp_view)
2382 .  -mat_mumps_icntl_12  - ICNTL(12): an ordering strategy for symmetric matrices (0 to 3)
2383 .  -mat_mumps_icntl_13  - ICNTL(13): parallelism of the root node (enable ScaLAPACK) and its splitting
2384 .  -mat_mumps_icntl_14  - ICNTL(14): percentage increase in the estimated working space
2385 .  -mat_mumps_icntl_19  - ICNTL(19): computes the Schur complement
2386 .  -mat_mumps_icntl_22  - ICNTL(22): in-core/out-of-core factorization and solve (0 or 1)
2387 .  -mat_mumps_icntl_23  - ICNTL(23): max size of the working memory (MB) that can allocate per processor
2388 .  -mat_mumps_icntl_24  - ICNTL(24): detection of null pivot rows (0 or 1)
2389 .  -mat_mumps_icntl_25  - ICNTL(25): compute a solution of a deficient matrix and a null space basis
2390 .  -mat_mumps_icntl_26  - ICNTL(26): drives the solution phase if a Schur complement matrix
2391 .  -mat_mumps_icntl_28  - ICNTL(28): use 1 for sequential analysis and ictnl(7) ordering, or 2 for parallel analysis and ictnl(29) ordering
2392 .  -mat_mumps_icntl_29 - ICNTL(29): parallel ordering 1 = ptscotch, 2 = parmetis
2393 .  -mat_mumps_icntl_30 - ICNTL(30): compute user-specified set of entries in inv(A)
2394 .  -mat_mumps_icntl_31 - ICNTL(31): indicates which factors may be discarded during factorization
2395 .  -mat_mumps_icntl_33 - ICNTL(33): compute determinant
2396 .  -mat_mumps_cntl_1  - CNTL(1): relative pivoting threshold
2397 .  -mat_mumps_cntl_2  -  CNTL(2): stopping criterion of refinement
2398 .  -mat_mumps_cntl_3 - CNTL(3): absolute pivoting threshold
2399 .  -mat_mumps_cntl_4 - CNTL(4): value for static pivoting
2400 -  -mat_mumps_cntl_5 - CNTL(5): fixation for null pivots
2401 
2402   Level: beginner
2403 
2404     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
2405 $          KSPGetPC(ksp,&pc);
2406 $          PCFactorGetMatrix(pc,&mat);
2407 $          MatMumpsGetInfo(mat,....);
2408 $          MatMumpsGetInfog(mat,....); etc.
2409            Or you can run with -ksp_error_if_not_converged and the program will be stopped and the information printed in the error message.
2410 
2411 .seealso: PCFactorSetMatSolverPackage(), MatSolverPackage, MatMumpsSetICntl(), MatMumpsGetIcntl(), MatMumpsSetCntl(), MatMumpsGetCntl(), MatMumpsGetInfo(), MatMumpsGetInfog(), MatMumpsGetRinfo(), MatMumpsGetRinfog(), KSPGetPC(), PCGetFactor(), PCFactorGetMatrix()
2412 
2413 M*/
2414 
2415 static PetscErrorCode MatFactorGetSolverPackage_mumps(Mat A,const MatSolverPackage *type)
2416 {
2417   PetscFunctionBegin;
2418   *type = MATSOLVERMUMPS;
2419   PetscFunctionReturn(0);
2420 }
2421 
2422 /* MatGetFactor for Seq and MPI AIJ matrices */
2423 static PetscErrorCode MatGetFactor_aij_mumps(Mat A,MatFactorType ftype,Mat *F)
2424 {
2425   Mat            B;
2426   PetscErrorCode ierr;
2427   Mat_MUMPS      *mumps;
2428   PetscBool      isSeqAIJ;
2429 
2430   PetscFunctionBegin;
2431   /* Create the factorization matrix */
2432   ierr = PetscObjectTypeCompare((PetscObject)A,MATSEQAIJ,&isSeqAIJ);CHKERRQ(ierr);
2433   ierr = MatCreate(PetscObjectComm((PetscObject)A),&B);CHKERRQ(ierr);
2434   ierr = MatSetSizes(B,A->rmap->n,A->cmap->n,A->rmap->N,A->cmap->N);CHKERRQ(ierr);
2435   ierr = PetscStrallocpy("mumps",&((PetscObject)B)->type_name);CHKERRQ(ierr);
2436   ierr = MatSetUp(B);CHKERRQ(ierr);
2437 
2438   ierr = PetscNewLog(B,&mumps);CHKERRQ(ierr);
2439 
2440   B->ops->view        = MatView_MUMPS;
2441   B->ops->getinfo     = MatGetInfo_MUMPS;
2442 
2443   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorGetSolverPackage_C",MatFactorGetSolverPackage_mumps);CHKERRQ(ierr);
2444   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSetSchurIS_C",MatFactorSetSchurIS_MUMPS);CHKERRQ(ierr);
2445   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorInvertSchurComplement_C",MatFactorInvertSchurComplement_MUMPS);CHKERRQ(ierr);
2446   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorCreateSchurComplement_C",MatFactorCreateSchurComplement_MUMPS);CHKERRQ(ierr);
2447   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorGetSchurComplement_C",MatFactorGetSchurComplement_MUMPS);CHKERRQ(ierr);
2448   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSolveSchurComplement_C",MatFactorSolveSchurComplement_MUMPS);CHKERRQ(ierr);
2449   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSolveSchurComplementTranspose_C",MatFactorSolveSchurComplementTranspose_MUMPS);CHKERRQ(ierr);
2450   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorFactorizeSchurComplement_C",MatFactorFactorizeSchurComplement_MUMPS);CHKERRQ(ierr);
2451   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSetSchurComplementSolverType_C",MatFactorSetSchurComplementSolverType_MUMPS);CHKERRQ(ierr);
2452   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsSetIcntl_C",MatMumpsSetIcntl_MUMPS);CHKERRQ(ierr);
2453   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetIcntl_C",MatMumpsGetIcntl_MUMPS);CHKERRQ(ierr);
2454   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsSetCntl_C",MatMumpsSetCntl_MUMPS);CHKERRQ(ierr);
2455   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetCntl_C",MatMumpsGetCntl_MUMPS);CHKERRQ(ierr);
2456   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetInfo_C",MatMumpsGetInfo_MUMPS);CHKERRQ(ierr);
2457   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetInfog_C",MatMumpsGetInfog_MUMPS);CHKERRQ(ierr);
2458   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetRinfo_C",MatMumpsGetRinfo_MUMPS);CHKERRQ(ierr);
2459   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetRinfog_C",MatMumpsGetRinfog_MUMPS);CHKERRQ(ierr);
2460 
2461   if (ftype == MAT_FACTOR_LU) {
2462     B->ops->lufactorsymbolic = MatLUFactorSymbolic_AIJMUMPS;
2463     B->factortype            = MAT_FACTOR_LU;
2464     if (isSeqAIJ) mumps->ConvertToTriples = MatConvertToTriples_seqaij_seqaij;
2465     else mumps->ConvertToTriples = MatConvertToTriples_mpiaij_mpiaij;
2466     mumps->sym = 0;
2467   } else {
2468     B->ops->choleskyfactorsymbolic = MatCholeskyFactorSymbolic_MUMPS;
2469     B->factortype                  = MAT_FACTOR_CHOLESKY;
2470     if (isSeqAIJ) mumps->ConvertToTriples = MatConvertToTriples_seqaij_seqsbaij;
2471     else mumps->ConvertToTriples = MatConvertToTriples_mpiaij_mpisbaij;
2472 #if defined(PETSC_USE_COMPLEX)
2473     mumps->sym = 2;
2474 #else
2475     if (A->spd_set && A->spd) mumps->sym = 1;
2476     else                      mumps->sym = 2;
2477 #endif
2478   }
2479 
2480   /* set solvertype */
2481   ierr = PetscFree(B->solvertype);CHKERRQ(ierr);
2482   ierr = PetscStrallocpy(MATSOLVERMUMPS,&B->solvertype);CHKERRQ(ierr);
2483 
2484   mumps->isAIJ    = PETSC_TRUE;
2485   B->ops->destroy = MatDestroy_MUMPS;
2486   B->data        = (void*)mumps;
2487 
2488   ierr = PetscInitializeMUMPS(A,mumps);CHKERRQ(ierr);
2489 
2490   *F = B;
2491   PetscFunctionReturn(0);
2492 }
2493 
2494 /* MatGetFactor for Seq and MPI SBAIJ matrices */
2495 static PetscErrorCode MatGetFactor_sbaij_mumps(Mat A,MatFactorType ftype,Mat *F)
2496 {
2497   Mat            B;
2498   PetscErrorCode ierr;
2499   Mat_MUMPS      *mumps;
2500   PetscBool      isSeqSBAIJ;
2501 
2502   PetscFunctionBegin;
2503   if (ftype != MAT_FACTOR_CHOLESKY) SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_SUP,"Cannot use PETSc SBAIJ matrices with MUMPS LU, use AIJ matrix");
2504   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");
2505   ierr = PetscObjectTypeCompare((PetscObject)A,MATSEQSBAIJ,&isSeqSBAIJ);CHKERRQ(ierr);
2506   /* Create the factorization matrix */
2507   ierr = MatCreate(PetscObjectComm((PetscObject)A),&B);CHKERRQ(ierr);
2508   ierr = MatSetSizes(B,A->rmap->n,A->cmap->n,A->rmap->N,A->cmap->N);CHKERRQ(ierr);
2509   ierr = PetscStrallocpy("mumps",&((PetscObject)B)->type_name);CHKERRQ(ierr);
2510   ierr = MatSetUp(B);CHKERRQ(ierr);
2511 
2512   ierr = PetscNewLog(B,&mumps);CHKERRQ(ierr);
2513   if (isSeqSBAIJ) {
2514     mumps->ConvertToTriples = MatConvertToTriples_seqsbaij_seqsbaij;
2515   } else {
2516     mumps->ConvertToTriples = MatConvertToTriples_mpisbaij_mpisbaij;
2517   }
2518 
2519   B->ops->getinfo                = MatGetInfo_External;
2520   B->ops->choleskyfactorsymbolic = MatCholeskyFactorSymbolic_MUMPS;
2521   B->ops->view                   = MatView_MUMPS;
2522 
2523   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorGetSolverPackage_C",MatFactorGetSolverPackage_mumps);CHKERRQ(ierr);
2524   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSetSchurIS_C",MatFactorSetSchurIS_MUMPS);CHKERRQ(ierr);
2525   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorInvertSchurComplement_C",MatFactorInvertSchurComplement_MUMPS);CHKERRQ(ierr);
2526   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorCreateSchurComplement_C",MatFactorCreateSchurComplement_MUMPS);CHKERRQ(ierr);
2527   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorGetSchurComplement_C",MatFactorGetSchurComplement_MUMPS);CHKERRQ(ierr);
2528   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSolveSchurComplement_C",MatFactorSolveSchurComplement_MUMPS);CHKERRQ(ierr);
2529   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSolveSchurComplementTranspose_C",MatFactorSolveSchurComplementTranspose_MUMPS);CHKERRQ(ierr);
2530   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorFactorizeSchurComplement_C",MatFactorFactorizeSchurComplement_MUMPS);CHKERRQ(ierr);
2531   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSetSchurComplementSolverType_C",MatFactorSetSchurComplementSolverType_MUMPS);CHKERRQ(ierr);
2532   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsSetIcntl_C",MatMumpsSetIcntl_MUMPS);CHKERRQ(ierr);
2533   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetIcntl_C",MatMumpsGetIcntl_MUMPS);CHKERRQ(ierr);
2534   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsSetCntl_C",MatMumpsSetCntl_MUMPS);CHKERRQ(ierr);
2535   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetCntl_C",MatMumpsGetCntl_MUMPS);CHKERRQ(ierr);
2536   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetInfo_C",MatMumpsGetInfo_MUMPS);CHKERRQ(ierr);
2537   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetInfog_C",MatMumpsGetInfog_MUMPS);CHKERRQ(ierr);
2538   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetRinfo_C",MatMumpsGetRinfo_MUMPS);CHKERRQ(ierr);
2539   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetRinfog_C",MatMumpsGetRinfog_MUMPS);CHKERRQ(ierr);
2540 
2541   B->factortype = MAT_FACTOR_CHOLESKY;
2542 #if defined(PETSC_USE_COMPLEX)
2543   mumps->sym = 2;
2544 #else
2545   if (A->spd_set && A->spd) mumps->sym = 1;
2546   else                      mumps->sym = 2;
2547 #endif
2548 
2549   /* set solvertype */
2550   ierr = PetscFree(B->solvertype);CHKERRQ(ierr);
2551   ierr = PetscStrallocpy(MATSOLVERMUMPS,&B->solvertype);CHKERRQ(ierr);
2552 
2553   mumps->isAIJ    = PETSC_FALSE;
2554   B->ops->destroy = MatDestroy_MUMPS;
2555   B->data        = (void*)mumps;
2556 
2557   ierr = PetscInitializeMUMPS(A,mumps);CHKERRQ(ierr);
2558 
2559   *F = B;
2560   PetscFunctionReturn(0);
2561 }
2562 
2563 static PetscErrorCode MatGetFactor_baij_mumps(Mat A,MatFactorType ftype,Mat *F)
2564 {
2565   Mat            B;
2566   PetscErrorCode ierr;
2567   Mat_MUMPS      *mumps;
2568   PetscBool      isSeqBAIJ;
2569 
2570   PetscFunctionBegin;
2571   /* Create the factorization matrix */
2572   ierr = PetscObjectTypeCompare((PetscObject)A,MATSEQBAIJ,&isSeqBAIJ);CHKERRQ(ierr);
2573   ierr = MatCreate(PetscObjectComm((PetscObject)A),&B);CHKERRQ(ierr);
2574   ierr = MatSetSizes(B,A->rmap->n,A->cmap->n,A->rmap->N,A->cmap->N);CHKERRQ(ierr);
2575   ierr = PetscStrallocpy("mumps",&((PetscObject)B)->type_name);CHKERRQ(ierr);
2576   ierr = MatSetUp(B);CHKERRQ(ierr);
2577 
2578   ierr = PetscNewLog(B,&mumps);CHKERRQ(ierr);
2579   if (ftype == MAT_FACTOR_LU) {
2580     B->ops->lufactorsymbolic = MatLUFactorSymbolic_BAIJMUMPS;
2581     B->factortype            = MAT_FACTOR_LU;
2582     if (isSeqBAIJ) mumps->ConvertToTriples = MatConvertToTriples_seqbaij_seqaij;
2583     else mumps->ConvertToTriples = MatConvertToTriples_mpibaij_mpiaij;
2584     mumps->sym = 0;
2585   } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Cannot use PETSc BAIJ matrices with MUMPS Cholesky, use SBAIJ or AIJ matrix instead\n");
2586 
2587   B->ops->getinfo     = MatGetInfo_External;
2588   B->ops->view        = MatView_MUMPS;
2589 
2590   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorGetSolverPackage_C",MatFactorGetSolverPackage_mumps);CHKERRQ(ierr);
2591   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSetSchurIS_C",MatFactorSetSchurIS_MUMPS);CHKERRQ(ierr);
2592   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorInvertSchurComplement_C",MatFactorInvertSchurComplement_MUMPS);CHKERRQ(ierr);
2593   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorCreateSchurComplement_C",MatFactorCreateSchurComplement_MUMPS);CHKERRQ(ierr);
2594   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorGetSchurComplement_C",MatFactorGetSchurComplement_MUMPS);CHKERRQ(ierr);
2595   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSolveSchurComplement_C",MatFactorSolveSchurComplement_MUMPS);CHKERRQ(ierr);
2596   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSolveSchurComplementTranspose_C",MatFactorSolveSchurComplementTranspose_MUMPS);CHKERRQ(ierr);
2597   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorFactorizeSchurComplement_C",MatFactorFactorizeSchurComplement_MUMPS);CHKERRQ(ierr);
2598   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSetSchurComplementSolverType_C",MatFactorSetSchurComplementSolverType_MUMPS);CHKERRQ(ierr);
2599   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsSetIcntl_C",MatMumpsSetIcntl_MUMPS);CHKERRQ(ierr);
2600   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetIcntl_C",MatMumpsGetIcntl_MUMPS);CHKERRQ(ierr);
2601   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsSetCntl_C",MatMumpsSetCntl_MUMPS);CHKERRQ(ierr);
2602   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetCntl_C",MatMumpsGetCntl_MUMPS);CHKERRQ(ierr);
2603   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetInfo_C",MatMumpsGetInfo_MUMPS);CHKERRQ(ierr);
2604   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetInfog_C",MatMumpsGetInfog_MUMPS);CHKERRQ(ierr);
2605   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetRinfo_C",MatMumpsGetRinfo_MUMPS);CHKERRQ(ierr);
2606   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetRinfog_C",MatMumpsGetRinfog_MUMPS);CHKERRQ(ierr);
2607 
2608   /* set solvertype */
2609   ierr = PetscFree(B->solvertype);CHKERRQ(ierr);
2610   ierr = PetscStrallocpy(MATSOLVERMUMPS,&B->solvertype);CHKERRQ(ierr);
2611 
2612   mumps->isAIJ    = PETSC_TRUE;
2613   B->ops->destroy = MatDestroy_MUMPS;
2614   B->data        = (void*)mumps;
2615 
2616   ierr = PetscInitializeMUMPS(A,mumps);CHKERRQ(ierr);
2617 
2618   *F = B;
2619   PetscFunctionReturn(0);
2620 }
2621 
2622 PETSC_EXTERN PetscErrorCode MatSolverPackageRegister_MUMPS(void)
2623 {
2624   PetscErrorCode ierr;
2625 
2626   PetscFunctionBegin;
2627   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATMPIAIJ,MAT_FACTOR_LU,MatGetFactor_aij_mumps);CHKERRQ(ierr);
2628   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATMPIAIJ,MAT_FACTOR_CHOLESKY,MatGetFactor_aij_mumps);CHKERRQ(ierr);
2629   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATMPIBAIJ,MAT_FACTOR_LU,MatGetFactor_baij_mumps);CHKERRQ(ierr);
2630   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATMPIBAIJ,MAT_FACTOR_CHOLESKY,MatGetFactor_baij_mumps);CHKERRQ(ierr);
2631   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATMPISBAIJ,MAT_FACTOR_CHOLESKY,MatGetFactor_sbaij_mumps);CHKERRQ(ierr);
2632   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATSEQAIJ,MAT_FACTOR_LU,MatGetFactor_aij_mumps);CHKERRQ(ierr);
2633   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATSEQAIJ,MAT_FACTOR_CHOLESKY,MatGetFactor_aij_mumps);CHKERRQ(ierr);
2634   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATSEQBAIJ,MAT_FACTOR_LU,MatGetFactor_baij_mumps);CHKERRQ(ierr);
2635   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATSEQBAIJ,MAT_FACTOR_CHOLESKY,MatGetFactor_baij_mumps);CHKERRQ(ierr);
2636   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATSEQSBAIJ,MAT_FACTOR_CHOLESKY,MatGetFactor_sbaij_mumps);CHKERRQ(ierr);
2637   PetscFunctionReturn(0);
2638 }
2639 
2640