xref: /petsc/src/mat/impls/aij/seq/umfpack/umfpack.c (revision 609bdbee21ea3be08735c64dbe00a9ab27759925)
1 
2 /*
3    Provides an interface to the UMFPACK sparse solver available through SuiteSparse version 4.2.1
4 
5    When build with PETSC_USE_64BIT_INDICES this will use Suitesparse_long as the
6    integer type in UMFPACK, otherwise it will use int. This means
7    all integers in this file as simply declared as PetscInt. Also it means
8    that one cannot use 64BIT_INDICES on 32bit machines [as Suitesparse_long is 32bit only]
9 
10 */
11 #include <../src/mat/impls/aij/seq/aij.h>
12 
13 #if defined(PETSC_USE_64BIT_INDICES)
14 #if defined(PETSC_USE_COMPLEX)
15 #define umfpack_UMF_free_symbolic                      umfpack_zl_free_symbolic
16 #define umfpack_UMF_free_numeric                       umfpack_zl_free_numeric
17 /* the type casts are needed because PetscInt is long long while SuiteSparse_long is long and compilers warn even when they are identical */
18 #define umfpack_UMF_wsolve(a,b,c,d,e,f,g,h,i,j,k,l,m,n) umfpack_zl_wsolve(a,(SuiteSparse_long*)b,(SuiteSparse_long*)c,d,e,f,g,h,i,(SuiteSparse_long*)j,k,l,(SuiteSparse_long*)m,n)
19 #define umfpack_UMF_numeric(a,b,c,d,e,f,g,h)          umfpack_zl_numeric((SuiteSparse_long*)a,(SuiteSparse_long*)b,c,d,e,f,g,h)
20 #define umfpack_UMF_report_numeric                    umfpack_zl_report_numeric
21 #define umfpack_UMF_report_control                    umfpack_zl_report_control
22 #define umfpack_UMF_report_status                     umfpack_zl_report_status
23 #define umfpack_UMF_report_info                       umfpack_zl_report_info
24 #define umfpack_UMF_report_symbolic                   umfpack_zl_report_symbolic
25 #define umfpack_UMF_qsymbolic(a,b,c,d,e,f,g,h,i,j)    umfpack_zl_qsymbolic(a,b,(SuiteSparse_long*)c,(SuiteSparse_long*)d,e,f,(SuiteSparse_long*)g,h,i,j)
26 #define umfpack_UMF_symbolic(a,b,c,d,e,f,g,h,i)       umfpack_zl_symbolic(a,b,(SuiteSparse_long*)c,(SuiteSparse_long*)d,e,f,g,h,i)
27 #define umfpack_UMF_defaults                          umfpack_zl_defaults
28 
29 #else
30 #define umfpack_UMF_free_symbolic                  umfpack_dl_free_symbolic
31 #define umfpack_UMF_free_numeric                   umfpack_dl_free_numeric
32 #define umfpack_UMF_wsolve(a,b,c,d,e,f,g,h,i,j,k)  umfpack_dl_wsolve(a,(SuiteSparse_long*)b,(SuiteSparse_long*)c,d,e,f,g,h,i,(SuiteSparse_long*)j,k)
33 #define umfpack_UMF_numeric(a,b,c,d,e,f,g)         umfpack_dl_numeric((SuiteSparse_long*)a,(SuiteSparse_long*)b,c,d,e,f,g)
34 #define umfpack_UMF_report_numeric                 umfpack_dl_report_numeric
35 #define umfpack_UMF_report_control                 umfpack_dl_report_control
36 #define umfpack_UMF_report_status                  umfpack_dl_report_status
37 #define umfpack_UMF_report_info                    umfpack_dl_report_info
38 #define umfpack_UMF_report_symbolic                umfpack_dl_report_symbolic
39 #define umfpack_UMF_qsymbolic(a,b,c,d,e,f,g,h,i)   umfpack_dl_qsymbolic(a,b,(SuiteSparse_long*)c,(SuiteSparse_long*)d,e,(SuiteSparse_long*)f,g,h,i)
40 #define umfpack_UMF_symbolic(a,b,c,d,e,f,g,h)      umfpack_dl_symbolic(a,b,(SuiteSparse_long*)c,(SuiteSparse_long*)d,e,f,g,h)
41 #define umfpack_UMF_defaults                       umfpack_dl_defaults
42 #endif
43 
44 #else
45 #if defined(PETSC_USE_COMPLEX)
46 #define umfpack_UMF_free_symbolic   umfpack_zi_free_symbolic
47 #define umfpack_UMF_free_numeric    umfpack_zi_free_numeric
48 #define umfpack_UMF_wsolve          umfpack_zi_wsolve
49 #define umfpack_UMF_numeric         umfpack_zi_numeric
50 #define umfpack_UMF_report_numeric  umfpack_zi_report_numeric
51 #define umfpack_UMF_report_control  umfpack_zi_report_control
52 #define umfpack_UMF_report_status   umfpack_zi_report_status
53 #define umfpack_UMF_report_info     umfpack_zi_report_info
54 #define umfpack_UMF_report_symbolic umfpack_zi_report_symbolic
55 #define umfpack_UMF_qsymbolic       umfpack_zi_qsymbolic
56 #define umfpack_UMF_symbolic        umfpack_zi_symbolic
57 #define umfpack_UMF_defaults        umfpack_zi_defaults
58 
59 #else
60 #define umfpack_UMF_free_symbolic   umfpack_di_free_symbolic
61 #define umfpack_UMF_free_numeric    umfpack_di_free_numeric
62 #define umfpack_UMF_wsolve          umfpack_di_wsolve
63 #define umfpack_UMF_numeric         umfpack_di_numeric
64 #define umfpack_UMF_report_numeric  umfpack_di_report_numeric
65 #define umfpack_UMF_report_control  umfpack_di_report_control
66 #define umfpack_UMF_report_status   umfpack_di_report_status
67 #define umfpack_UMF_report_info     umfpack_di_report_info
68 #define umfpack_UMF_report_symbolic umfpack_di_report_symbolic
69 #define umfpack_UMF_qsymbolic       umfpack_di_qsymbolic
70 #define umfpack_UMF_symbolic        umfpack_di_symbolic
71 #define umfpack_UMF_defaults        umfpack_di_defaults
72 #endif
73 #endif
74 
75 EXTERN_C_BEGIN
76 #include <umfpack.h>
77 EXTERN_C_END
78 
79 static const char *const UmfpackOrderingTypes[] = {"CHOLMOD","AMD","GIVEN","METIS","BEST","NONE","USER","UmfpackOrderingTypes","UMFPACK_ORDERING_",0};
80 
81 typedef struct {
82   void         *Symbolic, *Numeric;
83   double       Info[UMFPACK_INFO], Control[UMFPACK_CONTROL],*W;
84   PetscInt     *Wi,*perm_c;
85   Mat          A;               /* Matrix used for factorization */
86   MatStructure flg;
87   PetscBool    PetscMatOrdering;
88 
89   /* Flag to clean up UMFPACK objects during Destroy */
90   PetscBool CleanUpUMFPACK;
91 } Mat_UMFPACK;
92 
93 static PetscErrorCode MatDestroy_UMFPACK(Mat A)
94 {
95   PetscErrorCode ierr;
96   Mat_UMFPACK    *lu=(Mat_UMFPACK*)A->data;
97 
98   PetscFunctionBegin;
99   if (lu->CleanUpUMFPACK) {
100     umfpack_UMF_free_symbolic(&lu->Symbolic);
101     umfpack_UMF_free_numeric(&lu->Numeric);
102     ierr = PetscFree(lu->Wi);CHKERRQ(ierr);
103     ierr = PetscFree(lu->W);CHKERRQ(ierr);
104     ierr = PetscFree(lu->perm_c);CHKERRQ(ierr);
105   }
106   ierr = MatDestroy(&lu->A);CHKERRQ(ierr);
107   ierr = PetscFree(A->data);CHKERRQ(ierr);
108   PetscFunctionReturn(0);
109 }
110 
111 static PetscErrorCode MatSolve_UMFPACK_Private(Mat A,Vec b,Vec x,int uflag)
112 {
113   Mat_UMFPACK       *lu = (Mat_UMFPACK*)A->data;
114   Mat_SeqAIJ        *a  = (Mat_SeqAIJ*)lu->A->data;
115   PetscScalar       *av = a->a,*xa;
116   const PetscScalar *ba;
117   PetscErrorCode    ierr;
118   PetscInt          *ai = a->i,*aj = a->j,status;
119   static PetscBool  cite = PETSC_FALSE;
120 
121   PetscFunctionBegin;
122   ierr = PetscCitationsRegister("@article{davis2004algorithm,\n  title={Algorithm 832: {UMFPACK} V4.3---An Unsymmetric-Pattern Multifrontal Method},\n  author={Davis, Timothy A},\n  journal={ACM Transactions on Mathematical Software (TOMS)},\n  volume={30},\n  number={2},\n  pages={196--199},\n  year={2004},\n  publisher={ACM}\n}\n",&cite);CHKERRQ(ierr);
123   /* solve Ax = b by umfpack_*_wsolve */
124   /* ----------------------------------*/
125 
126   if (!lu->Wi) {  /* first time, allocate working space for wsolve */
127     ierr = PetscMalloc1(A->rmap->n,&lu->Wi);CHKERRQ(ierr);
128     ierr = PetscMalloc1(5*A->rmap->n,&lu->W);CHKERRQ(ierr);
129   }
130 
131   ierr = VecGetArrayRead(b,&ba);
132   ierr = VecGetArray(x,&xa);
133 #if defined(PETSC_USE_COMPLEX)
134   status = umfpack_UMF_wsolve(uflag,ai,aj,(PetscReal*)av,NULL,(PetscReal*)xa,NULL,(PetscReal*)ba,NULL,lu->Numeric,lu->Control,lu->Info,lu->Wi,lu->W);
135 #else
136   status = umfpack_UMF_wsolve(uflag,ai,aj,av,xa,ba,lu->Numeric,lu->Control,lu->Info,lu->Wi,lu->W);
137 #endif
138   umfpack_UMF_report_info(lu->Control, lu->Info);
139   if (status < 0) {
140     umfpack_UMF_report_status(lu->Control, status);
141     SETERRQ(PETSC_COMM_SELF,PETSC_ERR_LIB,"umfpack_UMF_wsolve failed");
142   }
143 
144   ierr = VecRestoreArrayRead(b,&ba);CHKERRQ(ierr);
145   ierr = VecRestoreArray(x,&xa);CHKERRQ(ierr);
146   PetscFunctionReturn(0);
147 }
148 
149 static PetscErrorCode MatSolve_UMFPACK(Mat A,Vec b,Vec x)
150 {
151   PetscErrorCode ierr;
152 
153   PetscFunctionBegin;
154   /* We gave UMFPACK the algebraic transpose (because it assumes column alignment) */
155   ierr = MatSolve_UMFPACK_Private(A,b,x,UMFPACK_Aat);CHKERRQ(ierr);
156   PetscFunctionReturn(0);
157 }
158 
159 static PetscErrorCode MatSolveTranspose_UMFPACK(Mat A,Vec b,Vec x)
160 {
161   PetscErrorCode ierr;
162 
163   PetscFunctionBegin;
164   /* We gave UMFPACK the algebraic transpose (because it assumes column alignment) */
165   ierr = MatSolve_UMFPACK_Private(A,b,x,UMFPACK_A);CHKERRQ(ierr);
166   PetscFunctionReturn(0);
167 }
168 
169 static PetscErrorCode MatLUFactorNumeric_UMFPACK(Mat F,Mat A,const MatFactorInfo *info)
170 {
171   Mat_UMFPACK    *lu = (Mat_UMFPACK*)(F)->data;
172   Mat_SeqAIJ     *a  = (Mat_SeqAIJ*)A->data;
173   PetscInt       *ai = a->i,*aj=a->j,status;
174   PetscScalar    *av = a->a;
175   PetscErrorCode ierr;
176 
177   PetscFunctionBegin;
178   /* numeric factorization of A' */
179   /* ----------------------------*/
180 
181   if (lu->flg == SAME_NONZERO_PATTERN && lu->Numeric) {
182     umfpack_UMF_free_numeric(&lu->Numeric);
183   }
184 #if defined(PETSC_USE_COMPLEX)
185   status = umfpack_UMF_numeric(ai,aj,(double*)av,NULL,lu->Symbolic,&lu->Numeric,lu->Control,lu->Info);
186 #else
187   status = umfpack_UMF_numeric(ai,aj,av,lu->Symbolic,&lu->Numeric,lu->Control,lu->Info);
188 #endif
189   if (status < 0) {
190     umfpack_UMF_report_status(lu->Control, status);
191     SETERRQ(PETSC_COMM_SELF,PETSC_ERR_LIB,"umfpack_UMF_numeric failed");
192   }
193   /* report numeric factorization of A' when Control[PRL] > 3 */
194   (void) umfpack_UMF_report_numeric(lu->Numeric, lu->Control);
195 
196   ierr = PetscObjectReference((PetscObject)A);CHKERRQ(ierr);
197   ierr = MatDestroy(&lu->A);CHKERRQ(ierr);
198 
199   lu->A                  = A;
200   lu->flg                = SAME_NONZERO_PATTERN;
201   lu->CleanUpUMFPACK     = PETSC_TRUE;
202   F->ops->solve          = MatSolve_UMFPACK;
203   F->ops->solvetranspose = MatSolveTranspose_UMFPACK;
204   PetscFunctionReturn(0);
205 }
206 
207 /*
208    Note the r permutation is ignored
209 */
210 static PetscErrorCode MatLUFactorSymbolic_UMFPACK(Mat F,Mat A,IS r,IS c,const MatFactorInfo *info)
211 {
212   Mat_SeqAIJ     *a  = (Mat_SeqAIJ*)A->data;
213   Mat_UMFPACK    *lu = (Mat_UMFPACK*)(F->data);
214   PetscErrorCode ierr;
215   PetscInt       i,*ai = a->i,*aj = a->j,m=A->rmap->n,n=A->cmap->n;
216 #if !defined(PETSC_USE_COMPLEX)
217   PetscScalar    *av = a->a;
218 #endif
219   const PetscInt *ra;
220   PetscInt       status;
221 
222   PetscFunctionBegin;
223   if (lu->PetscMatOrdering) {
224     ierr = ISGetIndices(r,&ra);CHKERRQ(ierr);
225     ierr = PetscMalloc1(m,&lu->perm_c);CHKERRQ(ierr);
226     /* we cannot simply memcpy on 64 bit archs */
227     for (i = 0; i < m; i++) lu->perm_c[i] = ra[i];
228     ierr = ISRestoreIndices(r,&ra);CHKERRQ(ierr);
229   }
230 
231   /* print the control parameters */
232   if (lu->Control[UMFPACK_PRL] > 1) umfpack_UMF_report_control(lu->Control);
233 
234   /* symbolic factorization of A' */
235   /* ---------------------------------------------------------------------- */
236   if (lu->PetscMatOrdering) { /* use Petsc row ordering */
237 #if !defined(PETSC_USE_COMPLEX)
238     status = umfpack_UMF_qsymbolic(n,m,ai,aj,av,lu->perm_c,&lu->Symbolic,lu->Control,lu->Info);
239 #else
240     status = umfpack_UMF_qsymbolic(n,m,ai,aj,NULL,NULL,lu->perm_c,&lu->Symbolic,lu->Control,lu->Info);
241 #endif
242   } else { /* use Umfpack col ordering */
243 #if !defined(PETSC_USE_COMPLEX)
244     status = umfpack_UMF_symbolic(n,m,ai,aj,av,&lu->Symbolic,lu->Control,lu->Info);
245 #else
246     status = umfpack_UMF_symbolic(n,m,ai,aj,NULL,NULL,&lu->Symbolic,lu->Control,lu->Info);
247 #endif
248   }
249   if (status < 0) {
250     umfpack_UMF_report_info(lu->Control, lu->Info);
251     umfpack_UMF_report_status(lu->Control, status);
252     SETERRQ(PETSC_COMM_SELF,PETSC_ERR_LIB,"umfpack_UMF_symbolic failed");
253   }
254   /* report sumbolic factorization of A' when Control[PRL] > 3 */
255   (void) umfpack_UMF_report_symbolic(lu->Symbolic, lu->Control);
256 
257   lu->flg                   = DIFFERENT_NONZERO_PATTERN;
258   lu->CleanUpUMFPACK        = PETSC_TRUE;
259   (F)->ops->lufactornumeric = MatLUFactorNumeric_UMFPACK;
260   PetscFunctionReturn(0);
261 }
262 
263 static PetscErrorCode MatFactorInfo_UMFPACK(Mat A,PetscViewer viewer)
264 {
265   Mat_UMFPACK    *lu= (Mat_UMFPACK*)A->data;
266   PetscErrorCode ierr;
267 
268   PetscFunctionBegin;
269   /* check if matrix is UMFPACK type */
270   if (A->ops->solve != MatSolve_UMFPACK) PetscFunctionReturn(0);
271 
272   ierr = PetscViewerASCIIPrintf(viewer,"UMFPACK run parameters:\n");CHKERRQ(ierr);
273   /* Control parameters used by reporting routiones */
274   ierr = PetscViewerASCIIPrintf(viewer,"  Control[UMFPACK_PRL]: %g\n",lu->Control[UMFPACK_PRL]);CHKERRQ(ierr);
275 
276   /* Control parameters used by symbolic factorization */
277   ierr = PetscViewerASCIIPrintf(viewer,"  Control[UMFPACK_STRATEGY]: %g\n",lu->Control[UMFPACK_STRATEGY]);CHKERRQ(ierr);
278   ierr = PetscViewerASCIIPrintf(viewer,"  Control[UMFPACK_DENSE_COL]: %g\n",lu->Control[UMFPACK_DENSE_COL]);CHKERRQ(ierr);
279   ierr = PetscViewerASCIIPrintf(viewer,"  Control[UMFPACK_DENSE_ROW]: %g\n",lu->Control[UMFPACK_DENSE_ROW]);CHKERRQ(ierr);
280   ierr = PetscViewerASCIIPrintf(viewer,"  Control[UMFPACK_AMD_DENSE]: %g\n",lu->Control[UMFPACK_AMD_DENSE]);CHKERRQ(ierr);
281   ierr = PetscViewerASCIIPrintf(viewer,"  Control[UMFPACK_BLOCK_SIZE]: %g\n",lu->Control[UMFPACK_BLOCK_SIZE]);CHKERRQ(ierr);
282   ierr = PetscViewerASCIIPrintf(viewer,"  Control[UMFPACK_FIXQ]: %g\n",lu->Control[UMFPACK_FIXQ]);CHKERRQ(ierr);
283   ierr = PetscViewerASCIIPrintf(viewer,"  Control[UMFPACK_AGGRESSIVE]: %g\n",lu->Control[UMFPACK_AGGRESSIVE]);CHKERRQ(ierr);
284 
285   /* Control parameters used by numeric factorization */
286   ierr = PetscViewerASCIIPrintf(viewer,"  Control[UMFPACK_PIVOT_TOLERANCE]: %g\n",lu->Control[UMFPACK_PIVOT_TOLERANCE]);CHKERRQ(ierr);
287   ierr = PetscViewerASCIIPrintf(viewer,"  Control[UMFPACK_SYM_PIVOT_TOLERANCE]: %g\n",lu->Control[UMFPACK_SYM_PIVOT_TOLERANCE]);CHKERRQ(ierr);
288   ierr = PetscViewerASCIIPrintf(viewer,"  Control[UMFPACK_SCALE]: %g\n",lu->Control[UMFPACK_SCALE]);CHKERRQ(ierr);
289   ierr = PetscViewerASCIIPrintf(viewer,"  Control[UMFPACK_ALLOC_INIT]: %g\n",lu->Control[UMFPACK_ALLOC_INIT]);CHKERRQ(ierr);
290   ierr = PetscViewerASCIIPrintf(viewer,"  Control[UMFPACK_DROPTOL]: %g\n",lu->Control[UMFPACK_DROPTOL]);CHKERRQ(ierr);
291 
292   /* Control parameters used by solve */
293   ierr = PetscViewerASCIIPrintf(viewer,"  Control[UMFPACK_IRSTEP]: %g\n",lu->Control[UMFPACK_IRSTEP]);CHKERRQ(ierr);
294 
295   /* mat ordering */
296   if (!lu->PetscMatOrdering) {
297     ierr = PetscViewerASCIIPrintf(viewer,"  Control[UMFPACK_ORDERING]: %s (not using the PETSc ordering)\n",UmfpackOrderingTypes[(int)lu->Control[UMFPACK_ORDERING]]);CHKERRQ(ierr);
298   }
299   PetscFunctionReturn(0);
300 }
301 
302 static PetscErrorCode MatView_UMFPACK(Mat A,PetscViewer viewer)
303 {
304   PetscErrorCode    ierr;
305   PetscBool         iascii;
306   PetscViewerFormat format;
307 
308   PetscFunctionBegin;
309   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&iascii);CHKERRQ(ierr);
310   if (iascii) {
311     ierr = PetscViewerGetFormat(viewer,&format);CHKERRQ(ierr);
312     if (format == PETSC_VIEWER_ASCII_INFO) {
313       ierr = MatFactorInfo_UMFPACK(A,viewer);CHKERRQ(ierr);
314     }
315   }
316   PetscFunctionReturn(0);
317 }
318 
319 PetscErrorCode MatFactorGetSolverPackage_seqaij_umfpack(Mat A,const MatSolverPackage *type)
320 {
321   PetscFunctionBegin;
322   *type = MATSOLVERUMFPACK;
323   PetscFunctionReturn(0);
324 }
325 
326 
327 /*MC
328   MATSOLVERUMFPACK = "umfpack" - A matrix type providing direct solvers (LU) for sequential matrices
329   via the external package UMFPACK.
330 
331   Use ./configure --download-suitesparse to install PETSc to use UMFPACK
332 
333   Use -pc_type lu -pc_factor_mat_solver_package umfpack to us this direct solver
334 
335   Consult UMFPACK documentation for more information about the Control parameters
336   which correspond to the options database keys below.
337 
338   Options Database Keys:
339 + -mat_umfpack_ordering                - CHOLMOD, AMD, GIVEN, METIS, BEST, NONE
340 . -mat_umfpack_prl                     - UMFPACK print level: Control[UMFPACK_PRL]
341 . -mat_umfpack_strategy <AUTO>         - (choose one of) AUTO UNSYMMETRIC SYMMETRIC 2BY2
342 . -mat_umfpack_dense_col <alpha_c>     - UMFPACK dense column threshold: Control[UMFPACK_DENSE_COL]
343 . -mat_umfpack_dense_row <0.2>         - Control[UMFPACK_DENSE_ROW]
344 . -mat_umfpack_amd_dense <10>          - Control[UMFPACK_AMD_DENSE]
345 . -mat_umfpack_block_size <bs>         - UMFPACK block size for BLAS-Level 3 calls: Control[UMFPACK_BLOCK_SIZE]
346 . -mat_umfpack_2by2_tolerance <0.01>   - Control[UMFPACK_2BY2_TOLERANCE]
347 . -mat_umfpack_fixq <0>                - Control[UMFPACK_FIXQ]
348 . -mat_umfpack_aggressive <1>          - Control[UMFPACK_AGGRESSIVE]
349 . -mat_umfpack_pivot_tolerance <delta> - UMFPACK partial pivot tolerance: Control[UMFPACK_PIVOT_TOLERANCE]
350 . -mat_umfpack_sym_pivot_tolerance <0.001> - Control[UMFPACK_SYM_PIVOT_TOLERANCE]
351 . -mat_umfpack_scale <NONE>           - (choose one of) NONE SUM MAX
352 . -mat_umfpack_alloc_init <delta>      - UMFPACK factorized matrix allocation modifier: Control[UMFPACK_ALLOC_INIT]
353 . -mat_umfpack_droptol <0>            - Control[UMFPACK_DROPTOL]
354 - -mat_umfpack_irstep <maxit>          - UMFPACK maximum number of iterative refinement steps: Control[UMFPACK_IRSTEP]
355 
356    Level: beginner
357 
358    Note: UMFPACK is part of SuiteSparse http://faculty.cse.tamu.edu/davis/suitesparse.html
359 
360 .seealso: PCLU, MATSOLVERSUPERLU, MATSOLVERMUMPS, PCFactorSetMatSolverPackage(), MatSolverPackage
361 M*/
362 
363 PETSC_EXTERN PetscErrorCode MatGetFactor_seqaij_umfpack(Mat A,MatFactorType ftype,Mat *F)
364 {
365   Mat            B;
366   Mat_UMFPACK    *lu;
367   PetscErrorCode ierr;
368   PetscInt       m=A->rmap->n,n=A->cmap->n,idx;
369 
370   const char *strategy[]={"AUTO","UNSYMMETRIC","SYMMETRIC"};
371   const char *scale[]   ={"NONE","SUM","MAX"};
372   PetscBool  flg;
373 
374   PetscFunctionBegin;
375   /* Create the factorization matrix F */
376   ierr = MatCreate(PetscObjectComm((PetscObject)A),&B);CHKERRQ(ierr);
377   ierr = MatSetSizes(B,PETSC_DECIDE,PETSC_DECIDE,m,n);CHKERRQ(ierr);
378   ierr = PetscStrallocpy("umfpack",&((PetscObject)B)->type_name);CHKERRQ(ierr);
379   ierr = MatSetUp(B);CHKERRQ(ierr);
380 
381   ierr = PetscNewLog(B,&lu);CHKERRQ(ierr);
382 
383   B->data                   = lu;
384   B->ops->getinfo          = MatGetInfo_External;
385   B->ops->lufactorsymbolic = MatLUFactorSymbolic_UMFPACK;
386   B->ops->destroy          = MatDestroy_UMFPACK;
387   B->ops->view             = MatView_UMFPACK;
388   B->ops->matsolve         = NULL;
389 
390   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorGetSolverPackage_C",MatFactorGetSolverPackage_seqaij_umfpack);CHKERRQ(ierr);
391 
392   B->factortype   = MAT_FACTOR_LU;
393   B->assembled    = PETSC_TRUE;           /* required by -ksp_view */
394   B->preallocated = PETSC_TRUE;
395 
396   ierr = PetscFree(B->solvertype);CHKERRQ(ierr);
397   ierr = PetscStrallocpy(MATSOLVERUMFPACK,&B->solvertype);CHKERRQ(ierr);
398 
399   /* initializations */
400   /* ------------------------------------------------*/
401   /* get the default control parameters */
402   umfpack_UMF_defaults(lu->Control);
403   lu->perm_c                  = NULL; /* use defaul UMFPACK col permutation */
404   lu->Control[UMFPACK_IRSTEP] = 0;          /* max num of iterative refinement steps to attempt */
405 
406   ierr = PetscOptionsBegin(PetscObjectComm((PetscObject)A),((PetscObject)A)->prefix,"UMFPACK Options","Mat");CHKERRQ(ierr);
407   /* Control parameters used by reporting routiones */
408   ierr = PetscOptionsReal("-mat_umfpack_prl","Control[UMFPACK_PRL]","None",lu->Control[UMFPACK_PRL],&lu->Control[UMFPACK_PRL],NULL);CHKERRQ(ierr);
409 
410   /* Control parameters for symbolic factorization */
411   ierr = PetscOptionsEList("-mat_umfpack_strategy","ordering and pivoting strategy","None",strategy,3,strategy[0],&idx,&flg);CHKERRQ(ierr);
412   if (flg) {
413     switch (idx) {
414     case 0: lu->Control[UMFPACK_STRATEGY] = UMFPACK_STRATEGY_AUTO; break;
415     case 1: lu->Control[UMFPACK_STRATEGY] = UMFPACK_STRATEGY_UNSYMMETRIC; break;
416     case 2: lu->Control[UMFPACK_STRATEGY] = UMFPACK_STRATEGY_SYMMETRIC; break;
417     }
418   }
419   ierr = PetscOptionsEList("-mat_umfpack_ordering","Internal ordering method","None",UmfpackOrderingTypes,sizeof(UmfpackOrderingTypes)/sizeof(UmfpackOrderingTypes[0]),UmfpackOrderingTypes[(int)lu->Control[UMFPACK_ORDERING]],&idx,&flg);CHKERRQ(ierr);
420   if (flg) lu->Control[UMFPACK_ORDERING] = (int)idx;
421   ierr = PetscOptionsReal("-mat_umfpack_dense_col","Control[UMFPACK_DENSE_COL]","None",lu->Control[UMFPACK_DENSE_COL],&lu->Control[UMFPACK_DENSE_COL],NULL);CHKERRQ(ierr);
422   ierr = PetscOptionsReal("-mat_umfpack_dense_row","Control[UMFPACK_DENSE_ROW]","None",lu->Control[UMFPACK_DENSE_ROW],&lu->Control[UMFPACK_DENSE_ROW],NULL);CHKERRQ(ierr);
423   ierr = PetscOptionsReal("-mat_umfpack_amd_dense","Control[UMFPACK_AMD_DENSE]","None",lu->Control[UMFPACK_AMD_DENSE],&lu->Control[UMFPACK_AMD_DENSE],NULL);CHKERRQ(ierr);
424   ierr = PetscOptionsReal("-mat_umfpack_block_size","Control[UMFPACK_BLOCK_SIZE]","None",lu->Control[UMFPACK_BLOCK_SIZE],&lu->Control[UMFPACK_BLOCK_SIZE],NULL);CHKERRQ(ierr);
425   ierr = PetscOptionsReal("-mat_umfpack_fixq","Control[UMFPACK_FIXQ]","None",lu->Control[UMFPACK_FIXQ],&lu->Control[UMFPACK_FIXQ],NULL);CHKERRQ(ierr);
426   ierr = PetscOptionsReal("-mat_umfpack_aggressive","Control[UMFPACK_AGGRESSIVE]","None",lu->Control[UMFPACK_AGGRESSIVE],&lu->Control[UMFPACK_AGGRESSIVE],NULL);CHKERRQ(ierr);
427 
428   /* Control parameters used by numeric factorization */
429   ierr = PetscOptionsReal("-mat_umfpack_pivot_tolerance","Control[UMFPACK_PIVOT_TOLERANCE]","None",lu->Control[UMFPACK_PIVOT_TOLERANCE],&lu->Control[UMFPACK_PIVOT_TOLERANCE],NULL);CHKERRQ(ierr);
430   ierr = PetscOptionsReal("-mat_umfpack_sym_pivot_tolerance","Control[UMFPACK_SYM_PIVOT_TOLERANCE]","None",lu->Control[UMFPACK_SYM_PIVOT_TOLERANCE],&lu->Control[UMFPACK_SYM_PIVOT_TOLERANCE],NULL);CHKERRQ(ierr);
431   ierr = PetscOptionsEList("-mat_umfpack_scale","Control[UMFPACK_SCALE]","None",scale,3,scale[0],&idx,&flg);CHKERRQ(ierr);
432   if (flg) {
433     switch (idx) {
434     case 0: lu->Control[UMFPACK_SCALE] = UMFPACK_SCALE_NONE; break;
435     case 1: lu->Control[UMFPACK_SCALE] = UMFPACK_SCALE_SUM; break;
436     case 2: lu->Control[UMFPACK_SCALE] = UMFPACK_SCALE_MAX; break;
437     }
438   }
439   ierr = PetscOptionsReal("-mat_umfpack_alloc_init","Control[UMFPACK_ALLOC_INIT]","None",lu->Control[UMFPACK_ALLOC_INIT],&lu->Control[UMFPACK_ALLOC_INIT],NULL);CHKERRQ(ierr);
440   ierr = PetscOptionsReal("-mat_umfpack_front_alloc_init","Control[UMFPACK_FRONT_ALLOC_INIT]","None",lu->Control[UMFPACK_FRONT_ALLOC_INIT],&lu->Control[UMFPACK_ALLOC_INIT],NULL);CHKERRQ(ierr);
441   ierr = PetscOptionsReal("-mat_umfpack_droptol","Control[UMFPACK_DROPTOL]","None",lu->Control[UMFPACK_DROPTOL],&lu->Control[UMFPACK_DROPTOL],NULL);CHKERRQ(ierr);
442 
443   /* Control parameters used by solve */
444   ierr = PetscOptionsReal("-mat_umfpack_irstep","Control[UMFPACK_IRSTEP]","None",lu->Control[UMFPACK_IRSTEP],&lu->Control[UMFPACK_IRSTEP],NULL);CHKERRQ(ierr);
445 
446   /* use Petsc mat ordering (note: size is for the transpose, and PETSc r = Umfpack perm_c) */
447   ierr = PetscOptionsName("-pc_factor_mat_ordering_type","Ordering to do factorization in","MatGetOrdering",&lu->PetscMatOrdering);CHKERRQ(ierr);
448   PetscOptionsEnd();
449   *F = B;
450   PetscFunctionReturn(0);
451 }
452 
453 PETSC_INTERN PetscErrorCode MatGetFactor_seqaij_cholmod(Mat,MatFactorType,Mat*);
454 PETSC_INTERN PetscErrorCode MatGetFactor_seqsbaij_cholmod(Mat,MatFactorType,Mat*);
455 PETSC_INTERN PetscErrorCode MatGetFactor_seqaij_klu(Mat,MatFactorType,Mat*);
456 
457 PETSC_EXTERN PetscErrorCode MatSolverPackageRegister_SuiteSparse(void)
458 {
459   PetscErrorCode ierr;
460 
461   PetscFunctionBegin;
462   ierr = MatSolverPackageRegister(MATSOLVERUMFPACK,MATSEQAIJ,      MAT_FACTOR_LU,MatGetFactor_seqaij_umfpack);CHKERRQ(ierr);
463   ierr = MatSolverPackageRegister(MATSOLVERCHOLMOD,MATSEQAIJ,      MAT_FACTOR_CHOLESKY,MatGetFactor_seqaij_cholmod);CHKERRQ(ierr);
464   ierr = MatSolverPackageRegister(MATSOLVERCHOLMOD,MATSEQSBAIJ,     MAT_FACTOR_CHOLESKY,MatGetFactor_seqsbaij_cholmod);CHKERRQ(ierr);
465   ierr = MatSolverPackageRegister(MATSOLVERKLU,MATSEQAIJ,          MAT_FACTOR_LU,MatGetFactor_seqaij_klu);CHKERRQ(ierr);
466   PetscFunctionReturn(0);
467 }
468