xref: /petsc/include/petscmat.h (revision 3923b477fd0dced8a2d147b4fb4519fe3af97d3f)
1 /*
2      Include file for the matrix component of PETSc
3 */
4 #ifndef __PETSCMAT_H
5 #define __PETSCMAT_H
6 #include <petscvec.h>
7 
8 /*S
9      Mat - Abstract PETSc matrix object
10 
11    Level: beginner
12 
13   Concepts: matrix; linear operator
14 
15 .seealso:  MatCreate(), MatType, MatSetType()
16 S*/
17 typedef struct _p_Mat*           Mat;
18 
19 /*J
20     MatType - String with the name of a PETSc matrix or the creation function
21        with an optional dynamic library name, for example
22        http://www.mcs.anl.gov/petsc/lib.a:mymatcreate()
23 
24    Level: beginner
25 
26 .seealso: MatSetType(), Mat, MatSolverPackage
27 J*/
28 typedef const char* MatType;
29 #define MATSAME            "same"
30 #define MATMAIJ            "maij"
31 #define MATSEQMAIJ         "seqmaij"
32 #define MATMPIMAIJ         "mpimaij"
33 #define MATIS              "is"
34 #define MATAIJ             "aij"
35 #define MATSEQAIJ          "seqaij"
36 #define MATSEQAIJPTHREAD   "seqaijpthread"
37 #define MATAIJPTHREAD      "aijpthread"
38 #define MATMPIAIJ          "mpiaij"
39 #define MATAIJCRL          "aijcrl"
40 #define MATSEQAIJCRL       "seqaijcrl"
41 #define MATMPIAIJCRL       "mpiaijcrl"
42 #define MATAIJCUSP         "aijcusp"
43 #define MATSEQAIJCUSP      "seqaijcusp"
44 #define MATMPIAIJCUSP      "mpiaijcusp"
45 #define MATAIJCUSPARSE     "aijcusparse"
46 #define MATSEQAIJCUSPARSE  "seqaijcusparse"
47 #define MATMPIAIJCUSPARSE  "mpiaijcusparse"
48 #define MATAIJPERM         "aijperm"
49 #define MATSEQAIJPERM      "seqaijperm"
50 #define MATMPIAIJPERM      "mpiaijperm"
51 #define MATSHELL           "shell"
52 #define MATDENSE           "dense"
53 #define MATSEQDENSE        "seqdense"
54 #define MATMPIDENSE        "mpidense"
55 #define MATELEMENTAL       "elemental"
56 #define MATBAIJ            "baij"
57 #define MATSEQBAIJ         "seqbaij"
58 #define MATMPIBAIJ         "mpibaij"
59 #define MATMPIADJ          "mpiadj"
60 #define MATSBAIJ           "sbaij"
61 #define MATSEQSBAIJ        "seqsbaij"
62 #define MATMPISBAIJ        "mpisbaij"
63 #define MATSEQBSTRM        "seqbstrm"
64 #define MATMPIBSTRM        "mpibstrm"
65 #define MATBSTRM           "bstrm"
66 #define MATSEQSBSTRM       "seqsbstrm"
67 #define MATMPISBSTRM       "mpisbstrm"
68 #define MATSBSTRM          "sbstrm"
69 #define MATDAAD            "daad"
70 #define MATMFFD            "mffd"
71 #define MATNORMAL          "normal"
72 #define MATLRC             "lrc"
73 #define MATSCATTER         "scatter"
74 #define MATBLOCKMAT        "blockmat"
75 #define MATCOMPOSITE       "composite"
76 #define MATFFT             "fft"
77 #define MATFFTW            "fftw"
78 #define MATSEQCUFFT        "seqcufft"
79 #define MATTRANSPOSEMAT    "transpose"
80 #define MATSCHURCOMPLEMENT "schurcomplement"
81 #define MATPYTHON          "python"
82 #define MATHYPRESTRUCT     "hyprestruct"
83 #define MATHYPRESSTRUCT    "hypresstruct"
84 #define MATSUBMATRIX       "submatrix"
85 #define MATLOCALREF        "localref"
86 #define MATNEST            "nest"
87 #define MATIJ              "ij"
88 
89 /*J
90     MatSolverPackage - String with the name of a PETSc matrix solver type.
91 
92     For example: "petsc" indicates what PETSc provides, "superlu" indicates either
93        SuperLU or SuperLU_Dist etc.
94 
95 
96    Level: beginner
97 
98 .seealso: MatGetFactor(), Mat, MatSetType(), MatType
99 J*/
100 #define MatSolverPackage char*
101 #define MATSOLVERSUPERLU      "superlu"
102 #define MATSOLVERSUPERLU_DIST "superlu_dist"
103 #define MATSOLVERUMFPACK      "umfpack"
104 #define MATSOLVERCHOLMOD      "cholmod"
105 #define MATSOLVERESSL         "essl"
106 #define MATSOLVERLUSOL        "lusol"
107 #define MATSOLVERMUMPS        "mumps"
108 #define MATSOLVERPASTIX       "pastix"
109 #define MATSOLVERMATLAB       "matlab"
110 #define MATSOLVERPETSC        "petsc"
111 #define MATSOLVERBAS          "bas"
112 #define MATSOLVERCUSPARSE     "cusparse"
113 #define MATSOLVERBSTRM        "bstrm"
114 #define MATSOLVERSBSTRM       "sbstrm"
115 #define MATSOLVERELEMENTAL    "elemental"
116 #define MATSOLVERCLIQUE       "clique"
117 
118 /*E
119     MatFactorType - indicates what type of factorization is requested
120 
121     Level: beginner
122 
123    Any additions/changes here MUST also be made in include/finclude/petscmat.h
124 
125 .seealso: MatSolverPackage, MatGetFactor()
126 E*/
127 typedef enum {MAT_FACTOR_NONE, MAT_FACTOR_LU, MAT_FACTOR_CHOLESKY, MAT_FACTOR_ILU, MAT_FACTOR_ICC,MAT_FACTOR_ILUDT} MatFactorType;
128 PETSC_EXTERN const char *const MatFactorTypes[];
129 
130 PETSC_EXTERN PetscErrorCode MatGetFactor(Mat,const MatSolverPackage,MatFactorType,Mat*);
131 PETSC_EXTERN PetscErrorCode MatGetFactorAvailable(Mat,const MatSolverPackage,MatFactorType,PetscBool *);
132 PETSC_EXTERN PetscErrorCode MatFactorGetSolverPackage(Mat,const MatSolverPackage*);
133 PETSC_EXTERN PetscErrorCode MatGetFactorType(Mat,MatFactorType*);
134 
135 /* Logging support */
136 #define    MAT_FILE_CLASSID 1211216    /* used to indicate matrices in binary files */
137 PETSC_EXTERN PetscClassId MAT_CLASSID;
138 PETSC_EXTERN PetscClassId MAT_FDCOLORING_CLASSID;
139 PETSC_EXTERN PetscClassId MAT_TRANSPOSECOLORING_CLASSID;
140 PETSC_EXTERN PetscClassId MAT_PARTITIONING_CLASSID;
141 PETSC_EXTERN PetscClassId MAT_COARSEN_CLASSID;
142 PETSC_EXTERN PetscClassId MAT_NULLSPACE_CLASSID;
143 PETSC_EXTERN PetscClassId MATMFFD_CLASSID;
144 
145 /*E
146     MatReuse - Indicates if matrices obtained from a previous call to MatGetSubMatrices()
147      or MatGetSubMatrix() are to be reused to store the new matrix values. For MatConvert() is used to indicate
148      that the input matrix is to be replaced with the converted matrix.
149 
150     Level: beginner
151 
152    Any additions/changes here MUST also be made in include/finclude/petscmat.h
153 
154 .seealso: MatGetSubMatrices(), MatGetSubMatrix(), MatDestroyMatrices(), MatConvert()
155 E*/
156 typedef enum {MAT_INITIAL_MATRIX,MAT_REUSE_MATRIX,MAT_IGNORE_MATRIX} MatReuse;
157 
158 /*E
159     MatGetSubMatrixOption - Indicates if matrices obtained from a call to MatGetSubMatrices()
160      include the matrix values. Currently it is only used by MatGetSeqNonzerostructure().
161 
162     Level: beginner
163 
164 .seealso: MatGetSeqNonzerostructure()
165 E*/
166 typedef enum {MAT_DO_NOT_GET_VALUES,MAT_GET_VALUES} MatGetSubMatrixOption;
167 
168 PETSC_EXTERN PetscErrorCode MatInitializePackage(const char[]);
169 
170 PETSC_EXTERN PetscErrorCode MatCreate(MPI_Comm,Mat*);
171 PETSC_EXTERN PetscErrorCode MatSetSizes(Mat,PetscInt,PetscInt,PetscInt,PetscInt);
172 PETSC_EXTERN PetscErrorCode MatSetType(Mat,MatType);
173 PETSC_EXTERN PetscErrorCode MatSetFromOptions(Mat);
174 PETSC_EXTERN PetscErrorCode MatRegisterAll(const char[]);
175 PETSC_EXTERN PetscErrorCode MatRegister(const char[],const char[],const char[],PetscErrorCode(*)(Mat));
176 PETSC_EXTERN PetscErrorCode MatRegisterBaseName(const char[],const char[],const char[]);
177 PETSC_EXTERN PetscErrorCode MatSetOptionsPrefix(Mat,const char[]);
178 PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefix(Mat,const char[]);
179 PETSC_EXTERN PetscErrorCode MatGetOptionsPrefix(Mat,const char*[]);
180 
181 /*MC
182    MatRegisterDynamic - Adds a new matrix type
183 
184    Synopsis:
185    PetscErrorCode MatRegisterDynamic(const char *name,const char *path,const char *name_create,PetscErrorCode (*routine_create)(Mat))
186 
187    Not Collective
188 
189    Input Parameters:
190 +  name - name of a new user-defined matrix type
191 .  path - path (either absolute or relative) the library containing this solver
192 .  name_create - name of routine to create method context
193 -  routine_create - routine to create method context
194 
195    Notes:
196    MatRegisterDynamic() may be called multiple times to add several user-defined solvers.
197 
198    If dynamic libraries are used, then the fourth input argument (routine_create)
199    is ignored.
200 
201    Sample usage:
202 .vb
203    MatRegisterDynamic("my_mat",/home/username/my_lib/lib/libO/solaris/mylib.a,
204                "MyMatCreate",MyMatCreate);
205 .ve
206 
207    Then, your solver can be chosen with the procedural interface via
208 $     MatSetType(Mat,"my_mat")
209    or at runtime via the option
210 $     -mat_type my_mat
211 
212    Level: advanced
213 
214    Notes: ${PETSC_ARCH} occuring in pathname will be replaced with appropriate values.
215          If your function is not being put into a shared library then use VecRegister() instead
216 
217 .keywords: Mat, register
218 
219 .seealso: MatRegisterAll(), MatRegisterDestroy()
220 
221 M*/
222 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
223 #define MatRegisterDynamic(a,b,c,d) MatRegister(a,b,c,0)
224 #else
225 #define MatRegisterDynamic(a,b,c,d) MatRegister(a,b,c,d)
226 #endif
227 
228 PETSC_EXTERN PetscBool MatRegisterAllCalled;
229 PETSC_EXTERN PetscFList MatList;
230 PETSC_EXTERN PetscFList MatColoringList;
231 PETSC_EXTERN PetscFList MatPartitioningList;
232 PETSC_EXTERN PetscFList MatCoarsenList;
233 
234 /*E
235     MatStructure - Indicates if the matrix has the same nonzero structure
236 
237     Level: beginner
238 
239    Any additions/changes here MUST also be made in include/finclude/petscmat.h
240 
241 .seealso: MatCopy(), KSPSetOperators(), PCSetOperators()
242 E*/
243 typedef enum {DIFFERENT_NONZERO_PATTERN,SUBSET_NONZERO_PATTERN,SAME_NONZERO_PATTERN,SAME_PRECONDITIONER} MatStructure;
244 
245 PETSC_EXTERN PetscErrorCode MatCreateSeqDense(MPI_Comm,PetscInt,PetscInt,PetscScalar[],Mat*);
246 PETSC_EXTERN PetscErrorCode MatCreateDense(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar[],Mat*);
247 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
248 PETSC_EXTERN PetscErrorCode MatCreateAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
249 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
250 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSplitArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],PetscInt[],PetscInt[],PetscScalar[],Mat*);
251 
252 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
253 PETSC_EXTERN PetscErrorCode MatCreateBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
254 PETSC_EXTERN PetscErrorCode MatCreateMPIBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat*);
255 
256 PETSC_EXTERN PetscErrorCode MatCreateMPIAdj(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscInt[],Mat*);
257 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
258 
259 PETSC_EXTERN PetscErrorCode MatCreateSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
260 PETSC_EXTERN PetscErrorCode MatCreateMPISBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
261 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
262 PETSC_EXTERN PetscErrorCode MatXAIJSetPreallocation(Mat,PetscInt,const PetscInt*,const PetscInt*,const PetscInt*,const PetscInt*);
263 
264 PETSC_EXTERN PetscErrorCode MatCreateShell(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,void *,Mat*);
265 PETSC_EXTERN PetscErrorCode MatCreateAdic(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,void (*)(void),Mat*);
266 PETSC_EXTERN PetscErrorCode MatCreateNormal(Mat,Mat*);
267 PETSC_EXTERN PetscErrorCode MatCreateLRC(Mat,Mat,Mat,Mat*);
268 PETSC_EXTERN PetscErrorCode MatCreateIS(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,ISLocalToGlobalMapping,Mat*);
269 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
270 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
271 
272 PETSC_EXTERN PetscErrorCode MatCreateSeqBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
273 PETSC_EXTERN PetscErrorCode MatCreateMPIBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
274 PETSC_EXTERN PetscErrorCode MatCreateSeqSBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
275 PETSC_EXTERN PetscErrorCode MatCreateMPISBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
276 
277 PETSC_EXTERN PetscErrorCode MatCreateScatter(MPI_Comm,VecScatter,Mat*);
278 PETSC_EXTERN PetscErrorCode MatScatterSetVecScatter(Mat,VecScatter);
279 PETSC_EXTERN PetscErrorCode MatScatterGetVecScatter(Mat,VecScatter*);
280 PETSC_EXTERN PetscErrorCode MatCreateBlockMat(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt*,Mat*);
281 PETSC_EXTERN PetscErrorCode MatCompositeAddMat(Mat,Mat);
282 PETSC_EXTERN PetscErrorCode MatCompositeMerge(Mat);
283 PETSC_EXTERN PetscErrorCode MatCreateComposite(MPI_Comm,PetscInt,const Mat*,Mat*);
284 typedef enum {MAT_COMPOSITE_ADDITIVE,MAT_COMPOSITE_MULTIPLICATIVE} MatCompositeType;
285 PETSC_EXTERN PetscErrorCode MatCompositeSetType(Mat,MatCompositeType);
286 
287 PETSC_EXTERN PetscErrorCode MatCreateFFT(MPI_Comm,PetscInt,const PetscInt[],MatType,Mat*);
288 PETSC_EXTERN PetscErrorCode MatCreateSeqCUFFT(MPI_Comm,PetscInt,const PetscInt[],Mat*);
289 
290 PETSC_EXTERN PetscErrorCode MatCreateTranspose(Mat,Mat*);
291 PETSC_EXTERN PetscErrorCode MatCreateSubMatrix(Mat,IS,IS,Mat*);
292 PETSC_EXTERN PetscErrorCode MatSubMatrixUpdate(Mat,Mat,IS,IS);
293 PETSC_EXTERN PetscErrorCode MatCreateLocalRef(Mat,IS,IS,Mat*);
294 
295 PETSC_EXTERN PetscErrorCode MatPythonSetType(Mat,const char[]);
296 
297 PETSC_EXTERN PetscErrorCode MatSetUp(Mat);
298 PETSC_EXTERN PetscErrorCode MatDestroy(Mat*);
299 
300 PETSC_EXTERN PetscErrorCode MatConjugate(Mat);
301 PETSC_EXTERN PetscErrorCode MatRealPart(Mat);
302 PETSC_EXTERN PetscErrorCode MatImaginaryPart(Mat);
303 PETSC_EXTERN PetscErrorCode MatGetDiagonalBlock(Mat,Mat*);
304 PETSC_EXTERN PetscErrorCode MatGetTrace(Mat,PetscScalar*);
305 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonal(Mat,const PetscScalar **);
306 
307 /* ------------------------------------------------------------*/
308 PETSC_EXTERN PetscErrorCode MatSetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
309 PETSC_EXTERN PetscErrorCode MatSetValuesBlocked(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
310 PETSC_EXTERN PetscErrorCode MatSetValuesRow(Mat,PetscInt,const PetscScalar[]);
311 PETSC_EXTERN PetscErrorCode MatSetValuesRowLocal(Mat,PetscInt,const PetscScalar[]);
312 PETSC_EXTERN PetscErrorCode MatSetValuesBatch(Mat,PetscInt,PetscInt,PetscInt[],const PetscScalar[]);
313 PETSC_EXTERN PetscErrorCode MatSetRandom(Mat,PetscRandom);
314 
315 /*S
316      MatStencil - Data structure (C struct) for storing information about a single row or
317         column of a matrix as indexed on an associated grid.
318 
319    Fortran usage is different, see MatSetValuesStencil() for details.
320 
321    Level: beginner
322 
323   Concepts: matrix; linear operator
324 
325 .seealso:  MatSetValuesStencil(), MatSetStencil(), MatSetValuesBlockedStencil()
326 S*/
327 typedef struct {
328   PetscInt k,j,i,c;
329 } MatStencil;
330 
331 PETSC_EXTERN PetscErrorCode MatSetValuesStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
332 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
333 PETSC_EXTERN PetscErrorCode MatSetStencil(Mat,PetscInt,const PetscInt[],const PetscInt[],PetscInt);
334 
335 PETSC_EXTERN PetscErrorCode MatSetColoring(Mat,ISColoring);
336 PETSC_EXTERN PetscErrorCode MatSetValuesAdic(Mat,void*);
337 PETSC_EXTERN PetscErrorCode MatSetValuesAdifor(Mat,PetscInt,void*);
338 
339 /*E
340     MatAssemblyType - Indicates if the matrix is now to be used, or if you plan
341      to continue to add values to it
342 
343     Level: beginner
344 
345 .seealso: MatAssemblyBegin(), MatAssemblyEnd()
346 E*/
347 typedef enum {MAT_FLUSH_ASSEMBLY=1,MAT_FINAL_ASSEMBLY=0} MatAssemblyType;
348 PETSC_EXTERN PetscErrorCode MatAssemblyBegin(Mat,MatAssemblyType);
349 PETSC_EXTERN PetscErrorCode MatAssemblyEnd(Mat,MatAssemblyType);
350 PETSC_EXTERN PetscErrorCode MatAssembled(Mat,PetscBool *);
351 
352 
353 
354 /*E
355     MatOption - Options that may be set for a matrix and its behavior or storage
356 
357     Level: beginner
358 
359    Any additions/changes here MUST also be made in include/finclude/petscmat.h
360 
361    Developer Notes: Entries that are negative need not be called collectively by all processes.
362 
363 .seealso: MatSetOption()
364 E*/
365 typedef enum {MAT_OPTION_MIN = -8,
366               MAT_NEW_NONZERO_LOCATION_ERR = -7,
367               MAT_NO_OFF_PROC_ZERO_ROWS = -6,
368               MAT_NO_OFF_PROC_ENTRIES = -5,
369               MAT_UNUSED_NONZERO_LOCATION_ERR = -4,
370               MAT_NEW_NONZERO_ALLOCATION_ERR = -3,
371               MAT_ROW_ORIENTED = -2,
372               MAT_NEW_NONZERO_LOCATIONS = -1,
373               MAT_SYMMETRIC = 1,
374               MAT_STRUCTURALLY_SYMMETRIC = 2,
375               MAT_NEW_DIAGONALS = 3,
376               MAT_IGNORE_OFF_PROC_ENTRIES = 4,
377               MAT_USE_HASH_TABLE = 5,
378               MAT_KEEP_NONZERO_PATTERN = 6,
379               MAT_IGNORE_ZERO_ENTRIES = 7,
380               MAT_USE_INODES = 8,
381               MAT_HERMITIAN = 9,
382               MAT_SYMMETRY_ETERNAL = 10,
383               MAT_CHECK_COMPRESSED_ROW = 11,
384               MAT_IGNORE_LOWER_TRIANGULAR = 12,
385               MAT_ERROR_LOWER_TRIANGULAR = 13,
386               MAT_GETROW_UPPERTRIANGULAR = 14,
387               MAT_SPD = 15,
388               MAT_OPTION_MAX = 16} MatOption;
389 
390 PETSC_EXTERN const char *MatOptions[];
391 PETSC_EXTERN PetscErrorCode MatSetOption(Mat,MatOption,PetscBool );
392 PETSC_EXTERN PetscErrorCode MatGetType(Mat,MatType*);
393 
394 PETSC_EXTERN PetscErrorCode MatGetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar[]);
395 PETSC_EXTERN PetscErrorCode MatGetRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
396 PETSC_EXTERN PetscErrorCode MatRestoreRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
397 PETSC_EXTERN PetscErrorCode MatGetRowUpperTriangular(Mat);
398 PETSC_EXTERN PetscErrorCode MatRestoreRowUpperTriangular(Mat);
399 PETSC_EXTERN PetscErrorCode MatGetColumn(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
400 PETSC_EXTERN PetscErrorCode MatRestoreColumn(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
401 PETSC_EXTERN PetscErrorCode MatGetColumnVector(Mat,Vec,PetscInt);
402 PETSC_EXTERN PetscErrorCode MatSeqAIJGetArray(Mat,PetscScalar *[]);
403 PETSC_EXTERN PetscErrorCode MatSeqAIJRestoreArray(Mat,PetscScalar *[]);
404 PETSC_EXTERN PetscErrorCode MatDenseGetArray(Mat,PetscScalar *[]);
405 PETSC_EXTERN PetscErrorCode MatDenseRestoreArray(Mat,PetscScalar *[]);
406 PETSC_EXTERN PetscErrorCode MatGetBlockSize(Mat,PetscInt *);
407 PETSC_EXTERN PetscErrorCode MatSetBlockSize(Mat,PetscInt);
408 PETSC_EXTERN PetscErrorCode MatGetBlockSizes(Mat,PetscInt *,PetscInt *);
409 PETSC_EXTERN PetscErrorCode MatSetBlockSizes(Mat,PetscInt,PetscInt);
410 PETSC_EXTERN PetscErrorCode MatSetNThreads(Mat,PetscInt);
411 PETSC_EXTERN PetscErrorCode MatGetNThreads(Mat,PetscInt*);
412 
413 PETSC_EXTERN PetscErrorCode MatMult(Mat,Vec,Vec);
414 PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat,Vec,Vec);
415 PETSC_EXTERN PetscErrorCode MatMultAdd(Mat,Vec,Vec,Vec);
416 PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat,Vec,Vec);
417 PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat,Vec,Vec);
418 PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat,Mat,PetscReal,PetscBool *);
419 PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat,Mat,PetscReal,PetscBool *);
420 PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat,Vec,Vec,Vec);
421 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat,Vec,Vec,Vec);
422 PETSC_EXTERN PetscErrorCode MatMultConstrained(Mat,Vec,Vec);
423 PETSC_EXTERN PetscErrorCode MatMultTransposeConstrained(Mat,Vec,Vec);
424 PETSC_EXTERN PetscErrorCode MatMatSolve(Mat,Mat,Mat);
425 
426 /*E
427     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
428   its numerical values copied over or just its nonzero structure.
429 
430     Level: beginner
431 
432    Any additions/changes here MUST also be made in include/finclude/petscmat.h
433 
434 $   MAT_SHARE_NONZERO_PATTERN - the i and j arrays in the new matrix will be shared with the original matrix
435 $                               this also triggers the MAT_DO_NOT_COPY_VALUES option. This is used when you
436 $                               have several matrices with the same nonzero pattern.
437 
438 .seealso: MatDuplicate()
439 E*/
440 typedef enum {MAT_DO_NOT_COPY_VALUES,MAT_COPY_VALUES,MAT_SHARE_NONZERO_PATTERN} MatDuplicateOption;
441 
442 PETSC_EXTERN PetscErrorCode MatConvert(Mat,MatType,MatReuse,Mat*);
443 PETSC_EXTERN PetscErrorCode MatDuplicate(Mat,MatDuplicateOption,Mat*);
444 
445 
446 PETSC_EXTERN PetscErrorCode MatCopy(Mat,Mat,MatStructure);
447 PETSC_EXTERN PetscErrorCode MatView(Mat,PetscViewer);
448 PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat,PetscReal,PetscBool *);
449 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat,PetscBool *);
450 PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat,PetscReal,PetscBool *);
451 PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat,PetscBool *,PetscBool *);
452 PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat,PetscBool *,PetscBool *);
453 PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat,PetscBool  *,PetscInt *);
454 PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);
455 
456 PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,PetscInt *[],PetscInt *[],PetscBool  *);
457 PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,PetscInt *[],PetscInt *[],PetscBool  *);
458 PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,PetscInt *[],PetscInt *[],PetscBool  *);
459 PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,PetscInt *[],PetscInt *[],PetscBool  *);
460 
461 /*S
462      MatInfo - Context of matrix information, used with MatGetInfo()
463 
464    In Fortran this is simply a double precision array of dimension MAT_INFO_SIZE
465 
466    Level: intermediate
467 
468   Concepts: matrix^nonzero information
469 
470 .seealso:  MatGetInfo(), MatInfoType
471 S*/
472 typedef struct {
473   PetscLogDouble block_size;                         /* block size */
474   PetscLogDouble nz_allocated,nz_used,nz_unneeded;   /* number of nonzeros */
475   PetscLogDouble memory;                             /* memory allocated */
476   PetscLogDouble assemblies;                         /* number of matrix assemblies called */
477   PetscLogDouble mallocs;                            /* number of mallocs during MatSetValues() */
478   PetscLogDouble fill_ratio_given,fill_ratio_needed; /* fill ratio for LU/ILU */
479   PetscLogDouble factor_mallocs;                     /* number of mallocs during factorization */
480 } MatInfo;
481 
482 /*E
483     MatInfoType - Indicates if you want information about the local part of the matrix,
484      the entire parallel matrix or the maximum over all the local parts.
485 
486     Level: beginner
487 
488    Any additions/changes here MUST also be made in include/finclude/petscmat.h
489 
490 .seealso: MatGetInfo(), MatInfo
491 E*/
492 typedef enum {MAT_LOCAL=1,MAT_GLOBAL_MAX=2,MAT_GLOBAL_SUM=3} MatInfoType;
493 PETSC_EXTERN PetscErrorCode MatGetInfo(Mat,MatInfoType,MatInfo*);
494 PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat,Vec);
495 PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat,Vec,PetscInt[]);
496 PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat,Vec,PetscInt[]);
497 PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat,Vec,PetscInt[]);
498 PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat,Vec,PetscInt[]);
499 PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat,Vec);
500 PETSC_EXTERN PetscErrorCode MatTranspose(Mat,MatReuse,Mat*);
501 PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat,MatReuse,Mat*);
502 PETSC_EXTERN PetscErrorCode MatPermute(Mat,IS,IS,Mat *);
503 PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat,Vec,Vec);
504 PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat,Vec,InsertMode);
505 PETSC_EXTERN PetscErrorCode MatEqual(Mat,Mat,PetscBool *);
506 PETSC_EXTERN PetscErrorCode MatMultEqual(Mat,Mat,PetscInt,PetscBool *);
507 PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat,Mat,PetscInt,PetscBool *);
508 PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat,Mat,PetscInt,PetscBool *);
509 PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat,Mat,PetscInt,PetscBool *);
510 
511 PETSC_EXTERN PetscErrorCode MatNorm(Mat,NormType,PetscReal *);
512 PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat,NormType,PetscReal *);
513 PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
514 PETSC_EXTERN PetscErrorCode MatZeroRows(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
515 PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat,IS,PetscScalar,Vec,Vec);
516 PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat,PetscInt,const MatStencil [],PetscScalar,Vec,Vec);
517 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat,PetscInt,const MatStencil[],PetscScalar,Vec,Vec);
518 PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
519 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat,IS,PetscScalar,Vec,Vec);
520 
521 PETSC_EXTERN PetscErrorCode MatGetSize(Mat,PetscInt*,PetscInt*);
522 PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat,PetscInt*,PetscInt*);
523 PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat,PetscInt*,PetscInt*);
524 PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat,const PetscInt**);
525 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat,PetscInt*,PetscInt*);
526 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat,const PetscInt**);
527 PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat,IS*,IS*);
528 
529 PETSC_EXTERN PetscErrorCode MatGetSubMatrices(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
530 PETSC_EXTERN PetscErrorCode MatGetSubMatricesParallel(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
531 PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt,Mat *[]);
532 PETSC_EXTERN PetscErrorCode MatGetSubMatrix(Mat,IS,IS,MatReuse,Mat *);
533 PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat,IS,IS,Mat*);
534 PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat,IS,IS,Mat*);
535 PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat,Mat*);
536 PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat*);
537 
538 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJConcatenateSeqAIJ(MPI_Comm,Mat,PetscInt,MatReuse,Mat*);
539 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJConcatenateSeqAIJSymbolic(MPI_Comm,Mat,PetscInt,Mat*);
540 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJConcatenateSeqAIJNumeric(MPI_Comm,Mat,PetscInt,Mat);
541 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm,Mat,PetscInt,PetscInt,MatReuse,Mat*);
542 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm,Mat,PetscInt,PetscInt,Mat*);
543 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat,Mat);
544 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat,MatReuse,Mat*);
545 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat,MatReuse,IS*,IS*,Mat*);
546 PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat,Mat,MatReuse,IS*,IS*,Mat*);
547 #if defined (PETSC_USE_CTABLE)
548 PETSC_EXTERN PetscErrorCode MatGetCommunicationStructs(Mat, Vec *, PetscTable *, VecScatter *);
549 #else
550 PETSC_EXTERN PetscErrorCode MatGetCommunicationStructs(Mat, Vec *, PetscInt *[], VecScatter *);
551 #endif
552 PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *,const PetscInt *[]);
553 
554 PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat,PetscInt,IS[],PetscInt);
555 
556 PETSC_EXTERN PetscErrorCode MatMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
557 PETSC_EXTERN PetscErrorCode MatMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
558 PETSC_EXTERN PetscErrorCode MatMatMultNumeric(Mat,Mat,Mat);
559 
560 PETSC_EXTERN PetscErrorCode MatPtAP(Mat,Mat,MatReuse,PetscReal,Mat*);
561 PETSC_EXTERN PetscErrorCode MatPtAPSymbolic(Mat,Mat,PetscReal,Mat*);
562 PETSC_EXTERN PetscErrorCode MatPtAPNumeric(Mat,Mat,Mat);
563 PETSC_EXTERN PetscErrorCode MatRARt(Mat,Mat,MatReuse,PetscReal,Mat*);
564 PETSC_EXTERN PetscErrorCode MatRARtSymbolic(Mat,Mat,PetscReal,Mat*);
565 PETSC_EXTERN PetscErrorCode MatRARtNumeric(Mat,Mat,Mat);
566 
567 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
568 PETSC_EXTERN PetscErrorCode MatTransposetMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
569 PETSC_EXTERN PetscErrorCode MatTransposetMatMultNumeric(Mat,Mat,Mat);
570 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat,Mat,MatReuse,PetscReal,Mat*);
571 PETSC_EXTERN PetscErrorCode MatMatTransposeMultSymbolic(Mat,Mat,PetscReal,Mat*);
572 PETSC_EXTERN PetscErrorCode MatMatTransposeMultNumeric(Mat,Mat,Mat);
573 
574 PETSC_EXTERN PetscErrorCode MatAXPY(Mat,PetscScalar,Mat,MatStructure);
575 PETSC_EXTERN PetscErrorCode MatAYPX(Mat,PetscScalar,Mat,MatStructure);
576 
577 PETSC_EXTERN PetscErrorCode MatScale(Mat,PetscScalar);
578 PETSC_EXTERN PetscErrorCode MatShift(Mat,PetscScalar);
579 
580 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
581 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMappingBlock(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
582 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
583 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMappingBlock(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
584 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
585 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
586 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
587 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
588 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
589 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
590 
591 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat,PetscInt,PetscInt);
592 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat,PetscInt*,PetscInt*,PetscInt*,PetscInt*);
593 
594 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat,Vec,Vec);
595 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat,Vec,Vec,Vec);
596 PETSC_EXTERN PetscErrorCode MatRestrict(Mat,Vec,Vec);
597 PETSC_EXTERN PetscErrorCode MatGetVecs(Mat,Vec*,Vec*);
598 PETSC_EXTERN PetscErrorCode MatGetRedundantMatrix(Mat,PetscInt,MPI_Comm,PetscInt,MatReuse,Mat*);
599 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat,MPI_Comm,MatReuse,Mat*);
600 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat,IS*);
601 
602 /*MC
603    MatSetValue - Set a single entry into a matrix.
604 
605    Not collective
606 
607    Input Parameters:
608 +  m - the matrix
609 .  row - the row location of the entry
610 .  col - the column location of the entry
611 .  value - the value to insert
612 -  mode - either INSERT_VALUES or ADD_VALUES
613 
614    Notes:
615    For efficiency one should use MatSetValues() and set several or many
616    values simultaneously if possible.
617 
618    Level: beginner
619 
620 .seealso: MatSetValues(), MatSetValueLocal()
621 M*/
622 PETSC_STATIC_INLINE PetscErrorCode MatSetValue(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValues(v,1,&i,1,&j,&va,mode);}
623 
624 PETSC_STATIC_INLINE PetscErrorCode MatGetValue(Mat v,PetscInt i,PetscInt j,PetscScalar *va) {return MatGetValues(v,1,&i,1,&j,va);}
625 
626 PETSC_STATIC_INLINE PetscErrorCode MatSetValueLocal(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValuesLocal(v,1,&i,1,&j,&va,mode);}
627 
628 /*MC
629    MatPreallocateInitialize - Begins the block of code that will count the number of nonzeros per
630        row in a matrix providing the data that one can use to correctly preallocate the matrix.
631 
632    Synopsis:
633    PetscErrorCode MatPreallocateInitialize(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
634 
635    Collective on MPI_Comm
636 
637    Input Parameters:
638 +  comm - the communicator that will share the eventually allocated matrix
639 .  nrows - the number of LOCAL rows in the matrix
640 -  ncols - the number of LOCAL columns in the matrix
641 
642    Output Parameters:
643 +  dnz - the array that will be passed to the matrix preallocation routines
644 -  ozn - the other array passed to the matrix preallocation routines
645 
646 
647    Level: intermediate
648 
649    Notes:
650     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
651 
652    Do not malloc or free dnz and onz, that is handled internally by these routines
653 
654    Use MatPreallocateInitializeSymmetric() for symmetric matrices (MPISBAIJ matrices)
655 
656    This is a MACRO not a function because it has a leading { that is closed by PetscPreallocateFinalize().
657 
658   Concepts: preallocation^Matrix
659 
660 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateSetLocal(),
661           MatPreallocateInitializeSymmetric(), MatPreallocateSymmetricSetLocal()
662 M*/
663 #define MatPreallocateInitialize(comm,nrows,ncols,dnz,onz) 0; \
664 { \
665   PetscErrorCode _4_ierr; PetscInt __nrows = (nrows),__ctmp = (ncols),__rstart,__start,__end; \
666   _4_ierr = PetscMalloc2(__nrows,PetscInt,&dnz,__nrows,PetscInt,&onz);CHKERRQ(_4_ierr); \
667   _4_ierr = PetscMemzero(dnz,__nrows*sizeof(PetscInt));CHKERRQ(_4_ierr);\
668   _4_ierr = PetscMemzero(onz,__nrows*sizeof(PetscInt));CHKERRQ(_4_ierr); __start = 0; __end = __start; \
669   _4_ierr = MPI_Scan(&__ctmp,&__end,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __start = __end - __ctmp;\
670   _4_ierr = MPI_Scan(&__nrows,&__rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __nrows;
671 
672 /*MC
673    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
674        inserted using a local number of the rows and columns
675 
676    Synopsis:
677    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
678 
679    Not Collective
680 
681    Input Parameters:
682 +  map - the row mapping from local numbering to global numbering
683 .  nrows - the number of rows indicated
684 .  rows - the indices of the rows
685 .  cmap - the column mapping from local to global numbering
686 .  ncols - the number of columns in the matrix
687 .  cols - the columns indicated
688 .  dnz - the array that will be passed to the matrix preallocation routines
689 -  ozn - the other array passed to the matrix preallocation routines
690 
691 
692    Level: intermediate
693 
694    Notes:
695     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
696 
697    Do not malloc or free dnz and onz, that is handled internally by these routines
698 
699   Concepts: preallocation^Matrix
700 
701 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
702           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal()
703 M*/
704 #define MatPreallocateSetLocal(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
705 {\
706   PetscInt __l;\
707   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
708   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
709   for (__l=0;__l<nrows;__l++) {\
710     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
711   }\
712 }
713 
714 /*MC
715    MatPreallocateSymmetricSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
716        inserted using a local number of the rows and columns
717 
718    Synopsis:
719    PetscErrorCode MatPreallocateSymmetricSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
720 
721    Not Collective
722 
723    Input Parameters:
724 +  map - the mapping between local numbering and global numbering
725 .  nrows - the number of rows indicated
726 .  rows - the indices of the rows
727 .  ncols - the number of columns in the matrix
728 .  cols - the columns indicated
729 .  dnz - the array that will be passed to the matrix preallocation routines
730 -  ozn - the other array passed to the matrix preallocation routines
731 
732 
733    Level: intermediate
734 
735    Notes:
736     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
737 
738    Do not malloc or free dnz and onz that is handled internally by these routines
739 
740   Concepts: preallocation^Matrix
741 
742 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
743           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal(), MatPreallocateSetLocal()
744 M*/
745 #define MatPreallocateSymmetricSetLocal(map,nrows,rows,ncols,cols,dnz,onz) 0;\
746 {\
747   PetscInt __l;\
748   _4_ierr = ISLocalToGlobalMappingApply(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
749   _4_ierr = ISLocalToGlobalMappingApply(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
750   for (__l=0;__l<nrows;__l++) {\
751     _4_ierr = MatPreallocateSymmetricSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
752   }\
753 }
754 
755 /*MC
756    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
757        inserted using a local number of the rows and columns
758 
759    Synopsis:
760    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
761 
762    Not Collective
763 
764    Input Parameters:
765 +  row - the row
766 .  ncols - the number of columns in the matrix
767 -  cols - the columns indicated
768 
769    Output Parameters:
770 +  dnz - the array that will be passed to the matrix preallocation routines
771 -  ozn - the other array passed to the matrix preallocation routines
772 
773 
774    Level: intermediate
775 
776    Notes:
777     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
778 
779    Do not malloc or free dnz and onz that is handled internally by these routines
780 
781    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
782 
783   Concepts: preallocation^Matrix
784 
785 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
786           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal(), MatPreallocateSetLocal()
787 M*/
788 #define MatPreallocateSet(row,nc,cols,dnz,onz) 0;\
789 { PetscInt __i; \
790   if (row < __rstart) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Trying to set preallocation for row %D less than first local row %D",row,__rstart);\
791   if (row >= __rstart+__nrows) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Trying to set preallocation for row %D greater than last local row %D",row,__rstart+__nrows-1);\
792   for (__i=0; __i<nc; __i++) {\
793     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
794     else dnz[row - __rstart]++;\
795   }\
796 }
797 
798 /*MC
799    MatPreallocateSymmetricSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
800        inserted using a local number of the rows and columns
801 
802    Synopsis:
803    PetscErrorCode MatPreallocateSymmetricSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
804 
805    Not Collective
806 
807    Input Parameters:
808 +  nrows - the number of rows indicated
809 .  rows - the indices of the rows
810 .  ncols - the number of columns in the matrix
811 .  cols - the columns indicated
812 .  dnz - the array that will be passed to the matrix preallocation routines
813 -  ozn - the other array passed to the matrix preallocation routines
814 
815 
816    Level: intermediate
817 
818    Notes:
819     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
820 
821    Do not malloc or free dnz and onz that is handled internally by these routines
822 
823    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
824 
825   Concepts: preallocation^Matrix
826 
827 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
828           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal(), MatPreallocateSetLocal()
829 M*/
830 #define MatPreallocateSymmetricSet(row,nc,cols,dnz,onz) 0;\
831 { PetscInt __i; \
832   for (__i=0; __i<nc; __i++) {\
833     if (cols[__i] >= __end) onz[row - __rstart]++; \
834     else if (cols[__i] >= row) dnz[row - __rstart]++;\
835   }\
836 }
837 
838 /*MC
839    MatPreallocateLocation -  An alternative to MatPreallocationSet() that puts the nonzero locations into the matrix if it exists
840 
841    Synopsis:
842    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
843 
844    Not Collective
845 
846    Input Parameters:
847 .  A - matrix
848 .  row - row where values exist (must be local to this process)
849 .  ncols - number of columns
850 .  cols - columns with nonzeros
851 .  dnz - the array that will be passed to the matrix preallocation routines
852 -  ozn - the other array passed to the matrix preallocation routines
853 
854 
855    Level: intermediate
856 
857    Notes:
858     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
859 
860    Do not malloc or free dnz and onz that is handled internally by these routines
861 
862    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
863 
864   Concepts: preallocation^Matrix
865 
866 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateSetLocal(),
867           MatPreallocateSymmetricSetLocal()
868 M*/
869 #define MatPreallocateLocation(A,row,ncols,cols,dnz,onz) 0;if (A) {ierr = MatSetValues(A,1,&row,ncols,cols,PETSC_NULL,INSERT_VALUES);CHKERRQ(ierr);} else {ierr =  MatPreallocateSet(row,ncols,cols,dnz,onz);CHKERRQ(ierr);}
870 
871 
872 /*MC
873    MatPreallocateFinalize - Ends the block of code that will count the number of nonzeros per
874        row in a matrix providing the data that one can use to correctly preallocate the matrix.
875 
876    Synopsis:
877    PetscErrorCode MatPreallocateFinalize(PetscInt *dnz, PetscInt *onz)
878 
879    Collective on MPI_Comm
880 
881    Input Parameters:
882 +  dnz - the array that was be passed to the matrix preallocation routines
883 -  ozn - the other array passed to the matrix preallocation routines
884 
885 
886    Level: intermediate
887 
888    Notes:
889     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
890 
891    Do not malloc or free dnz and onz that is handled internally by these routines
892 
893    This is a MACRO not a function because it closes the { started in MatPreallocateInitialize().
894 
895   Concepts: preallocation^Matrix
896 
897 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateSetLocal(),
898           MatPreallocateSymmetricSetLocal()
899 M*/
900 #define MatPreallocateFinalize(dnz,onz) 0;_4_ierr = PetscFree2(dnz,onz);CHKERRQ(_4_ierr);}
901 
902 
903 
904 /* Routines unique to particular data structures */
905 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat,void *);
906 
907 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat,IS*,IS*);
908 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat,PetscInt *,PetscInt *[],PetscInt *);
909 
910 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat,PetscInt[]);
911 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat,PetscInt[]);
912 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
913 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
914 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
915 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*,PetscInt,PetscBool);
916 
917 #define MAT_SKIP_ALLOCATION -4
918 
919 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
920 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
921 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat,PetscInt,const PetscInt[]);
922 
923 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
924 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
925 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
926 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat,const PetscInt [],const PetscInt [],const PetscScalar []);
927 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
928 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]);
929 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
930 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat,PetscInt[],PetscInt[],PetscInt[]);
931 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
932 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
933 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,PetscInt*[]);
934 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,PetscInt*[]);
935 PETSC_EXTERN PetscErrorCode MatAdicSetLocalFunction(Mat,void (*)(void));
936 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat,Mat*);
937 
938 PETSC_EXTERN PetscErrorCode MatSeqDenseSetLDA(Mat,PetscInt);
939 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat,Mat*);
940 
941 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
942 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
943 
944 PETSC_EXTERN PetscErrorCode MatDAADSetCtx(Mat,void*);
945 
946 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat,IS*);
947 /*
948   These routines are not usually accessed directly, rather solving is
949   done through the KSP and PC interfaces.
950 */
951 
952 /*J
953     MatOrderingType - String with the name of a PETSc matrix ordering or the creation function
954        with an optional dynamic library name, for example
955        http://www.mcs.anl.gov/petsc/lib.a:orderingcreate()
956 
957    Level: beginner
958 
959    Cannot use const because the PC objects manipulate the string
960 
961 .seealso: MatGetOrdering()
962 J*/
963 typedef const char* MatOrderingType;
964 #define MATORDERINGNATURAL     "natural"
965 #define MATORDERINGND          "nd"
966 #define MATORDERING1WD         "1wd"
967 #define MATORDERINGRCM         "rcm"
968 #define MATORDERINGQMD         "qmd"
969 #define MATORDERINGROWLENGTH   "rowlength"
970 #define MATORDERINGAMD         "amd"            /* only works if UMFPACK is installed with PETSc */
971 
972 PETSC_EXTERN PetscErrorCode MatGetOrdering(Mat,MatOrderingType,IS*,IS*);
973 PETSC_EXTERN PetscErrorCode MatGetOrderingList(PetscFList *list);
974 PETSC_EXTERN PetscErrorCode MatOrderingRegister(const char[],const char[],const char[],PetscErrorCode(*)(Mat,MatOrderingType,IS*,IS*));
975 
976 /*MC
977    MatOrderingRegisterDynamic - Adds a new sparse matrix ordering to the matrix package.
978 
979    Synopsis:
980    PetscErrorCode MatOrderingRegisterDynamic(const char *name_ordering,const char *path,const char *name_create,PetscErrorCode (*routine_create)(MatOrdering))
981 
982    Not Collective
983 
984    Input Parameters:
985 +  sname - name of ordering (for example MATORDERINGND)
986 .  path - location of library where creation routine is
987 .  name - name of function that creates the ordering type,a string
988 -  function - function pointer that creates the ordering
989 
990    Level: developer
991 
992    If dynamic libraries are used, then the fourth input argument (function)
993    is ignored.
994 
995    Sample usage:
996 .vb
997    MatOrderingRegisterDynamic("my_order",/home/username/my_lib/lib/libO/solaris/mylib.a,
998                "MyOrder",MyOrder);
999 .ve
1000 
1001    Then, your partitioner can be chosen with the procedural interface via
1002 $     MatOrderingSetType(part,"my_order)
1003    or at runtime via the option
1004 $     -pc_factor_mat_ordering_type my_order
1005 
1006    ${PETSC_ARCH} occuring in pathname will be replaced with appropriate values.
1007 
1008 .keywords: matrix, ordering, register
1009 
1010 .seealso: MatOrderingRegisterDestroy(), MatOrderingRegisterAll()
1011 M*/
1012 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
1013 #define MatOrderingRegisterDynamic(a,b,c,d) MatOrderingRegister(a,b,c,0)
1014 #else
1015 #define MatOrderingRegisterDynamic(a,b,c,d) MatOrderingRegister(a,b,c,d)
1016 #endif
1017 
1018 PETSC_EXTERN PetscErrorCode MatOrderingRegisterDestroy(void);
1019 PETSC_EXTERN PetscErrorCode MatOrderingRegisterAll(const char[]);
1020 PETSC_EXTERN PetscBool MatOrderingRegisterAllCalled;
1021 PETSC_EXTERN PetscFList MatOrderingList;
1022 
1023 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
1024 
1025 /*S
1026     MatFactorShiftType - Numeric Shift.
1027 
1028    Level: beginner
1029 
1030 S*/
1031 typedef enum {MAT_SHIFT_NONE,MAT_SHIFT_NONZERO,MAT_SHIFT_POSITIVE_DEFINITE,MAT_SHIFT_INBLOCKS} MatFactorShiftType;
1032 PETSC_EXTERN const char *const MatFactorShiftTypes[];
1033 
1034 /*S
1035    MatFactorInfo - Data passed into the matrix factorization routines
1036 
1037    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE, that is use
1038 $     MatFactorInfo  info(MAT_FACTORINFO_SIZE)
1039 
1040    Notes: These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
1041 
1042       You can use MatFactorInfoInitialize() to set default values.
1043 
1044    Level: developer
1045 
1046 .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor(),
1047           MatFactorInfoInitialize()
1048 
1049 S*/
1050 typedef struct {
1051   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
1052   PetscReal     usedt;
1053   PetscReal     dt;             /* drop tolerance */
1054   PetscReal     dtcol;          /* tolerance for pivoting */
1055   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
1056   PetscReal     fill;           /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1057   PetscReal     levels;         /* ICC/ILU(levels) */
1058   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1059                                    factorization may be faster if do not pivot */
1060   PetscReal     zeropivot;      /* pivot is called zero if less than this */
1061   PetscReal     shifttype;      /* type of shift added to matrix factor to prevent zero pivots */
1062   PetscReal     shiftamount;     /* how large the shift is */
1063 } MatFactorInfo;
1064 
1065 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo*);
1066 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat,IS,const MatFactorInfo*);
1067 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1068 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat,Mat,const MatFactorInfo*);
1069 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat,IS,IS,const MatFactorInfo*);
1070 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat,IS,IS,const MatFactorInfo*);
1071 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1072 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1073 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1074 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat,IS,const MatFactorInfo*);
1075 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat,Mat,const MatFactorInfo*);
1076 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat,PetscInt*,PetscInt*,PetscInt*);
1077 PETSC_EXTERN PetscErrorCode MatSolve(Mat,Vec,Vec);
1078 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat,Vec,Vec);
1079 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat,Vec,Vec);
1080 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat,Vec,Vec,Vec);
1081 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat,Vec,Vec);
1082 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
1083 PETSC_EXTERN PetscErrorCode MatSolves(Mat,Vecs,Vecs);
1084 
1085 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
1086 
1087 /*E
1088     MatSORType - What type of (S)SOR to perform
1089 
1090     Level: beginner
1091 
1092    May be bitwise ORd together
1093 
1094    Any additions/changes here MUST also be made in include/finclude/petscmat.h
1095 
1096    MatSORType may be bitwise ORd together, so do not change the numbers
1097 
1098 .seealso: MatSOR()
1099 E*/
1100 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
1101               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
1102               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
1103               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
1104 PETSC_EXTERN PetscErrorCode MatSOR(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
1105 
1106 /*
1107     These routines are for efficiently computing Jacobians via finite differences.
1108 */
1109 
1110 /*J
1111     MatColoringType - String with the name of a PETSc matrix coloring or the creation function
1112        with an optional dynamic library name, for example
1113        http://www.mcs.anl.gov/petsc/lib.a:coloringcreate()
1114 
1115    Level: beginner
1116 
1117 .seealso: MatGetColoring()
1118 J*/
1119 typedef const char* MatColoringType;
1120 #define MATCOLORINGNATURAL "natural"
1121 #define MATCOLORINGSL      "sl"
1122 #define MATCOLORINGLF      "lf"
1123 #define MATCOLORINGID      "id"
1124 
1125 PETSC_EXTERN PetscErrorCode MatGetColoring(Mat,MatColoringType,ISColoring*);
1126 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[],const char[],const char[],PetscErrorCode(*)(Mat,MatColoringType,ISColoring *));
1127 
1128 /*MC
1129    MatColoringRegisterDynamic - Adds a new sparse matrix coloring to the
1130                                matrix package.
1131 
1132    Synopsis:
1133    PetscErrorCode MatColoringRegisterDynamic(const char *name_coloring,const char *path,const char *name_create,PetscErrorCode (*routine_create)(MatColoring))
1134 
1135    Not Collective
1136 
1137    Input Parameters:
1138 +  sname - name of Coloring (for example MATCOLORINGSL)
1139 .  path - location of library where creation routine is
1140 .  name - name of function that creates the Coloring type, a string
1141 -  function - function pointer that creates the coloring
1142 
1143    Level: developer
1144 
1145    If dynamic libraries are used, then the fourth input argument (function)
1146    is ignored.
1147 
1148    Sample usage:
1149 .vb
1150    MatColoringRegisterDynamic("my_color",/home/username/my_lib/lib/libO/solaris/mylib.a,
1151                "MyColor",MyColor);
1152 .ve
1153 
1154    Then, your partitioner can be chosen with the procedural interface via
1155 $     MatColoringSetType(part,"my_color")
1156    or at runtime via the option
1157 $     -mat_coloring_type my_color
1158 
1159    $PETSC_ARCH occuring in pathname will be replaced with appropriate values.
1160 
1161 .keywords: matrix, Coloring, register
1162 
1163 .seealso: MatColoringRegisterDestroy(), MatColoringRegisterAll()
1164 M*/
1165 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
1166 #define MatColoringRegisterDynamic(a,b,c,d) MatColoringRegister(a,b,c,0)
1167 #else
1168 #define MatColoringRegisterDynamic(a,b,c,d) MatColoringRegister(a,b,c,d)
1169 #endif
1170 
1171 PETSC_EXTERN PetscBool MatColoringRegisterAllCalled;
1172 
1173 PETSC_EXTERN PetscErrorCode MatColoringRegisterAll(const char[]);
1174 PETSC_EXTERN PetscErrorCode MatColoringRegisterDestroy(void);
1175 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat,PetscInt,PetscInt,ISColoringValue[],ISColoring*);
1176 
1177 /*S
1178      MatFDColoring - Object for computing a sparse Jacobian via finite differences
1179         and coloring
1180 
1181    Level: beginner
1182 
1183   Concepts: coloring, sparse Jacobian, finite differences
1184 
1185 .seealso:  MatFDColoringCreate()
1186 S*/
1187 typedef struct _p_MatFDColoring* MatFDColoring;
1188 
1189 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
1190 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring*);
1191 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring,PetscViewer);
1192 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring,PetscErrorCode (*)(void),void*);
1193 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring,PetscErrorCode (**)(void),void**);
1194 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
1195 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1196 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat,MatFDColoring,Vec,MatStructure*,void *);
1197 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring,Vec);
1198 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring,PetscInt*,PetscInt*[]);
1199 
1200 /*S
1201      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring
1202 
1203    Level: beginner
1204 
1205   Concepts: coloring, sparse matrix product
1206 
1207 .seealso:  MatTransposeColoringCreate()
1208 S*/
1209 typedef struct _p_MatTransposeColoring* MatTransposeColoring;
1210 
1211 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat,ISColoring,MatTransposeColoring *);
1212 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring,Mat,Mat);
1213 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring,Mat,Mat);
1214 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring*);
1215 
1216 /*
1217     These routines are for partitioning matrices: currently used only
1218   for adjacency matrix, MatCreateMPIAdj().
1219 */
1220 
1221 /*S
1222      MatPartitioning - Object for managing the partitioning of a matrix or graph
1223 
1224    Level: beginner
1225 
1226   Concepts: partitioning
1227 
1228 .seealso:  MatPartitioningCreate(), MatPartitioningType
1229 S*/
1230 typedef struct _p_MatPartitioning* MatPartitioning;
1231 
1232 /*J
1233     MatPartitioningType - String with the name of a PETSc matrix partitioning or the creation function
1234        with an optional dynamic library name, for example
1235        http://www.mcs.anl.gov/petsc/lib.a:partitioningcreate()
1236 
1237    Level: beginner
1238 dm
1239 .seealso: MatPartitioningCreate(), MatPartitioning
1240 J*/
1241 typedef const char* MatPartitioningType;
1242 #define MATPARTITIONINGCURRENT  "current"
1243 #define MATPARTITIONINGSQUARE   "square"
1244 #define MATPARTITIONINGPARMETIS "parmetis"
1245 #define MATPARTITIONINGCHACO    "chaco"
1246 #define MATPARTITIONINGPARTY    "party"
1247 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1248 
1249 
1250 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1251 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning,MatPartitioningType);
1252 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning,PetscInt);
1253 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning,Mat);
1254 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning,const PetscInt[]);
1255 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1256 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning,IS*);
1257 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning*);
1258 
1259 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[],const char[],const char[],PetscErrorCode (*)(MatPartitioning));
1260 
1261 /*MC
1262    MatPartitioningRegisterDynamic - Adds a new sparse matrix partitioning to the
1263    matrix package.
1264 
1265    Synopsis:
1266    PetscErrorCode MatPartitioningRegisterDynamic(const char *name_partitioning,const char *path,const char *name_create,PetscErrorCode (*routine_create)(MatPartitioning))
1267 
1268    Not Collective
1269 
1270    Input Parameters:
1271 +  sname - name of partitioning (for example MATPARTITIONINGCURRENT) or parmetis
1272 .  path - location of library where creation routine is
1273 .  name - name of function that creates the partitioning type, a string
1274 -  function - function pointer that creates the partitioning type
1275 
1276    Level: developer
1277 
1278    If dynamic libraries are used, then the fourth input argument (function)
1279    is ignored.
1280 
1281    Sample usage:
1282 .vb
1283    MatPartitioningRegisterDynamic("my_part",/home/username/my_lib/lib/libO/solaris/mylib.a,
1284                "MyPartCreate",MyPartCreate);
1285 .ve
1286 
1287    Then, your partitioner can be chosen with the procedural interface via
1288 $     MatPartitioningSetType(part,"my_part")
1289    or at runtime via the option
1290 $     -mat_partitioning_type my_part
1291 
1292    $PETSC_ARCH occuring in pathname will be replaced with appropriate values.
1293 
1294 .keywords: matrix, partitioning, register
1295 
1296 .seealso: MatPartitioningRegisterDestroy(), MatPartitioningRegisterAll()
1297 M*/
1298 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
1299 #define MatPartitioningRegisterDynamic(a,b,c,d) MatPartitioningRegister(a,b,c,0)
1300 #else
1301 #define MatPartitioningRegisterDynamic(a,b,c,d) MatPartitioningRegister(a,b,c,d)
1302 #endif
1303 
1304 PETSC_EXTERN PetscBool MatPartitioningRegisterAllCalled;
1305 
1306 PETSC_EXTERN PetscErrorCode MatPartitioningRegisterAll(const char[]);
1307 PETSC_EXTERN PetscErrorCode MatPartitioningRegisterDestroy(void);
1308 
1309 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning,PetscViewer);
1310 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1311 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
1312 
1313 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1314 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1315 
1316 typedef enum { MP_CHACO_MULTILEVEL=1,MP_CHACO_SPECTRAL=2,MP_CHACO_LINEAR=4,MP_CHACO_RANDOM=5,MP_CHACO_SCATTERED=6 } MPChacoGlobalType;
1317 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1318 typedef enum { MP_CHACO_KERNIGHAN=1,MP_CHACO_NONE=2 } MPChacoLocalType;
1319 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1320 typedef enum { MP_CHACO_LANCZOS=0,MP_CHACO_RQI=1 } MPChacoEigenType;
1321 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1322 
1323 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning,MPChacoGlobalType);
1324 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning,MPChacoGlobalType*);
1325 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning,MPChacoLocalType);
1326 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning,MPChacoLocalType*);
1327 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning,PetscReal);
1328 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning,MPChacoEigenType);
1329 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning,MPChacoEigenType*);
1330 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning,PetscReal);
1331 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning,PetscReal*);
1332 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning,PetscInt);
1333 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning,PetscInt*);
1334 
1335 #define MP_PARTY_OPT "opt"
1336 #define MP_PARTY_LIN "lin"
1337 #define MP_PARTY_SCA "sca"
1338 #define MP_PARTY_RAN "ran"
1339 #define MP_PARTY_GBF "gbf"
1340 #define MP_PARTY_GCF "gcf"
1341 #define MP_PARTY_BUB "bub"
1342 #define MP_PARTY_DEF "def"
1343 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning,const char*);
1344 #define MP_PARTY_HELPFUL_SETS "hs"
1345 #define MP_PARTY_KERNIGHAN_LIN "kl"
1346 #define MP_PARTY_NONE "no"
1347 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning,const char*);
1348 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning,PetscReal);
1349 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning,PetscBool);
1350 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning,PetscBool);
1351 
1352 typedef enum { MP_PTSCOTCH_QUALITY,MP_PTSCOTCH_SPEED,MP_PTSCOTCH_BALANCE,MP_PTSCOTCH_SAFETY,MP_PTSCOTCH_SCALABILITY } MPPTScotchStrategyType;
1353 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1354 
1355 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning,PetscReal);
1356 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning,PetscReal*);
1357 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning,MPPTScotchStrategyType);
1358 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning,MPPTScotchStrategyType*);
1359 
1360 /*
1361     These routines are for coarsening matrices:
1362 */
1363 
1364 /*S
1365      MatCoarsen - Object for managing the coarsening of a graph (symmetric matrix)
1366 
1367    Level: beginner
1368 
1369   Concepts: coarsen
1370 
1371 .seealso:  MatCoarsenCreate), MatCoarsenType
1372 S*/
1373 typedef struct _p_MatCoarsen* MatCoarsen;
1374 
1375 /*J
1376     MatCoarsenType - String with the name of a PETSc matrix coarsen or the creation function
1377        with an optional dynamic library name, for example
1378        http://www.mcs.anl.gov/petsc/lib.a:coarsencreate()
1379 
1380    Level: beginner
1381 dm
1382 .seealso: MatCoarsenCreate(), MatCoarsen
1383 J*/
1384 typedef const char* MatCoarsenType;
1385 #define MATCOARSENMIS  "mis"
1386 #define MATCOARSENHEM  "hem"
1387 
1388 /* linked list for aggregates */
1389 typedef struct _PetscCDIntNd{
1390   struct _PetscCDIntNd *next;
1391   PetscInt   gid;
1392 }PetscCDIntNd;
1393 
1394 /* only used by node pool */
1395 typedef struct _PetscCDArrNd{
1396   struct _PetscCDArrNd *next;
1397   struct _PetscCDIntNd *array;
1398 }PetscCDArrNd;
1399 
1400 typedef struct _PetscCoarsenData{
1401   /* node pool */
1402   PetscCDArrNd  pool_list;
1403   PetscCDIntNd *new_node;
1404   PetscInt   new_left;
1405   PetscInt   chk_sz;
1406   PetscCDIntNd *extra_nodes;
1407   /* Array of lists */
1408   PetscCDIntNd **array;
1409   PetscInt size;
1410   /* cache a Mat for communication data */
1411   Mat mat;
1412   /* cache IS of removed equations */
1413   IS removedIS;
1414 }PetscCoarsenData;
1415 
1416 PETSC_EXTERN PetscErrorCode MatCoarsenCreate(MPI_Comm,MatCoarsen*);
1417 PETSC_EXTERN PetscErrorCode MatCoarsenSetType(MatCoarsen,MatCoarsenType);
1418 PETSC_EXTERN PetscErrorCode MatCoarsenSetAdjacency(MatCoarsen,Mat);
1419 PETSC_EXTERN PetscErrorCode MatCoarsenSetGreedyOrdering(MatCoarsen,const IS);
1420 PETSC_EXTERN PetscErrorCode MatCoarsenSetStrictAggs(MatCoarsen,PetscBool);
1421 PETSC_EXTERN PetscErrorCode MatCoarsenSetVerbose(MatCoarsen,PetscInt);
1422 PETSC_EXTERN PetscErrorCode MatCoarsenGetData( MatCoarsen, PetscCoarsenData ** );
1423 PETSC_EXTERN PetscErrorCode MatCoarsenApply(MatCoarsen);
1424 PETSC_EXTERN PetscErrorCode MatCoarsenDestroy(MatCoarsen*);
1425 
1426 PETSC_EXTERN PetscErrorCode MatCoarsenRegister(const char[],const char[],const char[],PetscErrorCode (*)(MatCoarsen));
1427 
1428 /*MC
1429    MatCoarsenRegisterDynamic - Adds a new sparse matrix coarsen to the
1430    matrix package.
1431 
1432    Synopsis:
1433    PetscErrorCode MatCoarsenRegisterDynamic(const char *name_coarsen,const char *path,const char *name_create,PetscErrorCode (*routine_create)(MatCoarsen))
1434 
1435    Not Collective
1436 
1437    Input Parameters:
1438 +  sname - name of coarsen (for example MATCOARSENMIS)
1439 .  path - location of library where creation routine is
1440 .  name - name of function that creates the coarsen type, a string
1441 -  function - function pointer that creates the coarsen type
1442 
1443    Level: developer
1444 
1445    If dynamic libraries are used, then the fourth input argument (function)
1446    is ignored.
1447 
1448    Sample usage:
1449 .vb
1450    MatCoarsenRegisterDynamic("my_agg",/home/username/my_lib/lib/libO/solaris/mylib.a,
1451                "MyAggCreate",MyAggCreate);
1452 .ve
1453 
1454    Then, your aggregator can be chosen with the procedural interface via
1455 $     MatCoarsenSetType(agg,"my_agg")
1456    or at runtime via the option
1457 $     -mat_coarsen_type my_agg
1458 
1459    $PETSC_ARCH occuring in pathname will be replaced with appropriate values.
1460 
1461 .keywords: matrix, coarsen, register
1462 
1463 .seealso: MatCoarsenRegisterDestroy(), MatCoarsenRegisterAll()
1464 M*/
1465 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
1466 #define MatCoarsenRegisterDynamic(a,b,c,d) MatCoarsenRegister(a,b,c,0)
1467 #else
1468 #define MatCoarsenRegisterDynamic(a,b,c,d) MatCoarsenRegister(a,b,c,d)
1469 #endif
1470 
1471 PETSC_EXTERN PetscBool MatCoarsenRegisterAllCalled;
1472 
1473 PETSC_EXTERN PetscErrorCode MatCoarsenRegisterAll(const char[]);
1474 PETSC_EXTERN PetscErrorCode MatCoarsenRegisterDestroy(void);
1475 
1476 PETSC_EXTERN PetscErrorCode MatCoarsenView(MatCoarsen,PetscViewer);
1477 PETSC_EXTERN PetscErrorCode MatCoarsenSetFromOptions(MatCoarsen);
1478 PETSC_EXTERN PetscErrorCode MatCoarsenGetType(MatCoarsen,MatCoarsenType*);
1479 
1480 
1481 PETSC_EXTERN PetscErrorCode MatMeshToVertexGraph(Mat,PetscInt,Mat*);
1482 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat,PetscInt,Mat*);
1483 
1484 /*
1485     If you add entries here you must also add them to finclude/petscmat.h
1486 */
1487 typedef enum { MATOP_SET_VALUES=0,
1488                MATOP_GET_ROW=1,
1489                MATOP_RESTORE_ROW=2,
1490                MATOP_MULT=3,
1491                MATOP_MULT_ADD=4,
1492                MATOP_MULT_TRANSPOSE=5,
1493                MATOP_MULT_TRANSPOSE_ADD=6,
1494                MATOP_SOLVE=7,
1495                MATOP_SOLVE_ADD=8,
1496                MATOP_SOLVE_TRANSPOSE=9,
1497                MATOP_SOLVE_TRANSPOSE_ADD=10,
1498                MATOP_LUFACTOR=11,
1499                MATOP_CHOLESKYFACTOR=12,
1500                MATOP_SOR=13,
1501                MATOP_TRANSPOSE=14,
1502                MATOP_GETINFO=15,
1503                MATOP_EQUAL=16,
1504                MATOP_GET_DIAGONAL=17,
1505                MATOP_DIAGONAL_SCALE=18,
1506                MATOP_NORM=19,
1507                MATOP_ASSEMBLY_BEGIN=20,
1508                MATOP_ASSEMBLY_END=21,
1509                MATOP_SET_OPTION=22,
1510                MATOP_ZERO_ENTRIES=23,
1511                MATOP_ZERO_ROWS=24,
1512                MATOP_LUFACTOR_SYMBOLIC=25,
1513                MATOP_LUFACTOR_NUMERIC=26,
1514                MATOP_CHOLESKY_FACTOR_SYMBOLIC=27,
1515                MATOP_CHOLESKY_FACTOR_NUMERIC=28,
1516                MATOP_SETUP_PREALLOCATION=29,
1517                MATOP_ILUFACTOR_SYMBOLIC=30,
1518                MATOP_ICCFACTOR_SYMBOLIC=31,
1519                MATOP_GET_ARRAY=32,
1520                MATOP_RESTORE_ARRAY=33,
1521                MATOP_DUPLICATE=34,
1522                MATOP_FORWARD_SOLVE=35,
1523                MATOP_BACKWARD_SOLVE=36,
1524                MATOP_ILUFACTOR=37,
1525                MATOP_ICCFACTOR=38,
1526                MATOP_AXPY=39,
1527                MATOP_GET_SUBMATRICES=40,
1528                MATOP_INCREASE_OVERLAP=41,
1529                MATOP_GET_VALUES=42,
1530                MATOP_COPY=43,
1531                MATOP_GET_ROW_MAX=44,
1532                MATOP_SCALE=45,
1533                MATOP_SHIFT=46,
1534                MATOP_DIAGONAL_SET=47,
1535                MATOP_ILUDT_FACTOR=48,
1536                MATOP_SET_BLOCK_SIZE=49,
1537                MATOP_GET_ROW_IJ=50,
1538                MATOP_RESTORE_ROW_IJ=51,
1539                MATOP_GET_COLUMN_IJ=52,
1540                MATOP_RESTORE_COLUMN_IJ=53,
1541                MATOP_FDCOLORING_CREATE=54,
1542                MATOP_COLORING_PATCH=55,
1543                MATOP_SET_UNFACTORED=56,
1544                MATOP_PERMUTE=57,
1545                MATOP_SET_VALUES_BLOCKED=58,
1546                MATOP_GET_SUBMATRIX=59,
1547                MATOP_DESTROY=60,
1548                MATOP_VIEW=61,
1549                MATOP_CONVERT_FROM=62,
1550                MATOP_SET_LOCAL_TO_GLOBAL_MAP=66,
1551                MATOP_SET_VALUES_LOCAL=67,
1552                MATOP_ZERO_ROWS_LOCAL=68,
1553                MATOP_GET_ROW_MAX_ABS=69,
1554                MATOP_GET_ROW_MIN_ABS=70,
1555                MATOP_CONVERT=71,
1556                MATOP_SET_COLORING=72,
1557                MATOP_SET_VALUES_ADIC=73,
1558                MATOP_SET_VALUES_ADIFOR=74,
1559                MATOP_FD_COLORING_APPLY=75,
1560                MATOP_SET_FROM_OPTIONS=76,
1561                MATOP_MULT_CONSTRAINED=77,
1562                MATOP_MULT_TRANSPOSE_CONSTRAIN=78,
1563                MATOP_PERMUTE_SPARSIFY=79,
1564                MATOP_MULT_MULTIPLE=80,
1565                MATOP_SOLVE_MULTIPLE=81,
1566                MATOP_GET_INERTIA=82,
1567                MATOP_LOAD=83,
1568                MATOP_IS_SYMMETRIC=84,
1569                MATOP_IS_HERMITIAN=85,
1570                MATOP_IS_STRUCTURALLY_SYMMETRIC=86,
1571                MATOP_DUMMY=87,
1572                MATOP_GET_VECS=88,
1573                MATOP_MAT_MULT=89,
1574                MATOP_MAT_MULT_SYMBOLIC=90,
1575                MATOP_MAT_MULT_NUMERIC=91,
1576                MATOP_PTAP=92,
1577                MATOP_PTAP_SYMBOLIC=93,
1578                MATOP_PTAP_NUMERIC=94,
1579                MATOP_MAT_TRANSPOSE_MULT=95,
1580                MATOP_MAT_TRANSPOSE_MULT_SYMBO=96,
1581                MATOP_MAT_TRANSPOSE_MULT_NUMER=97,
1582                MATOP_PTAP_SYMBOLIC_SEQAIJ=98,
1583                MATOP_PTAP_NUMERIC_SEQAIJ=99,
1584                MATOP_PTAP_SYMBOLIC_MPIAIJ=100,
1585                MATOP_PTAP_NUMERIC_MPIAIJ=101,
1586                MATOP_CONJUGATE=102,
1587                MATOP_SET_SIZES=103,
1588                MATOP_SET_VALUES_ROW=104,
1589                MATOP_REAL_PART=105,
1590                MATOP_IMAGINARY_PART=106,
1591                MATOP_GET_ROW_UPPER_TRIANGULAR=107,
1592                MATOP_RESTORE_ROW_UPPER_TRIANG=108,
1593                MATOP_MAT_SOLVE=109,
1594                MATOP_GET_REDUNDANT_MATRIX=110,
1595                MATOP_GET_ROW_MIN=111,
1596                MATOP_GET_COLUMN_VECTOR=112,
1597                MATOP_MISSING_DIAGONAL=113,
1598                MATOP_GET_SEQ_NONZERO_STRUCTUR=114,
1599                MATOP_CREATE=115,
1600                MATOP_GET_GHOSTS=116,
1601                MATOP_GET_LOCAL_SUB_MATRIX=117,
1602                MATOP_RESTORE_LOCALSUB_MATRIX=118,
1603                MATOP_MULT_DIAGONAL_BLOCK=119,
1604                MATOP_HERMITIAN_TRANSPOSE=120,
1605                MATOP_MULT_HERMITIAN_TRANSPOSE=121,
1606                MATOP_MULT_HERMITIAN_TRANS_ADD=122,
1607                MATOP_GET_MULTI_PROC_BLOCK=123,
1608                MATOP_GET_COLUMN_NORMS=125,
1609 	       MATOP_GET_SUB_MATRICES_PARALLE=128,
1610                MATOP_SET_VALUES_BATCH=129,
1611                MATOP_TRANSPOSE_MAT_MULT=130,
1612                MATOP_TRANSPOSE_MAT_MULT_SYMBO=131,
1613                MATOP_TRANSPOSE_MAT_MULT_NUMER=132,
1614                MATOP_TRANSPOSE_COLORING_CREAT=133,
1615                MATOP_TRANS_COLORING_APPLY_SPT=134,
1616                MATOP_TRANS_COLORING_APPLY_DEN=135,
1617                MATOP_RART=136,
1618                MATOP_RART_SYMBOLIC=137,
1619                MATOP_RART_NUMERIC=138,
1620                MATOP_SET_BLOCK_SIZES=139,
1621                MATOP_AYPX=140
1622              } MatOperation;
1623 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat,MatOperation,PetscBool *);
1624 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat,MatOperation,void(*)(void));
1625 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat,MatOperation,void(**)(void));
1626 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat,void*);
1627 
1628 /*
1629    Codes for matrices stored on disk. By default they are
1630    stored in a universal format. By changing the format with
1631    PetscViewerSetFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
1632    be stored in a way natural for the matrix, for example dense matrices
1633    would be stored as dense. Matrices stored this way may only be
1634    read into matrices of the same type.
1635 */
1636 #define MATRIX_BINARY_FORMAT_DENSE -1
1637 
1638 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1639 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat,Mat*);
1640 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat,Mat);
1641 
1642 /*S
1643      MatNullSpace - Object that removes a null space from a vector, i.e.
1644          orthogonalizes the vector to a subsapce
1645 
1646    Level: advanced
1647 
1648   Concepts: matrix; linear operator, null space
1649 
1650   Users manual sections:
1651 .   sec_singular
1652 
1653 .seealso:  MatNullSpaceCreate()
1654 S*/
1655 typedef struct _p_MatNullSpace* MatNullSpace;
1656 
1657 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm,PetscBool ,PetscInt,const Vec[],MatNullSpace*);
1658 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace,PetscErrorCode (*)(MatNullSpace,Vec,void*),void*);
1659 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace*);
1660 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace,Vec,Vec*);
1661 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
1662 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat,MatNullSpace);
1663 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat,MatNullSpace);
1664 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat,MatNullSpace*);
1665 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace,Mat,PetscBool  *);
1666 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace,PetscViewer);
1667 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace,PetscBool*,PetscInt*,const Vec**);
1668 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec,MatNullSpace*);
1669 
1670 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat,IS);
1671 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1672 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat,PetscInt *);
1673 PETSC_EXTERN PetscErrorCode MatSeqBAIJInvertBlockDiagonal(Mat);
1674 
1675 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat,PetscInt,Mat*);
1676 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat,PetscInt,Mat*);
1677 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat,Mat*);
1678 
1679 PETSC_EXTERN PetscErrorCode MatComputeExplicitOperator(Mat,Mat*);
1680 
1681 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat,Vec);
1682 
1683 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
1684 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat,Vec,Vec);
1685 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat,PetscErrorCode(*)(void*,Vec,Vec),void*);
1686 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat,PetscErrorCode (*)(void*,PetscInt,Vec,PetscScalar*));
1687 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat,PetscErrorCode (*)(void*,Vec));
1688 PETSC_EXTERN PetscErrorCode MatMFFDAddNullSpace(Mat,MatNullSpace);
1689 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat,PetscScalar[],PetscInt);
1690 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
1691 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat,PetscReal);
1692 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat,PetscInt);
1693 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat,PetscScalar *);
1694 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat,const char[]);
1695 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void*,Vec,Vec,PetscScalar*);
1696 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat,PetscErrorCode (*)(void*,Vec,Vec,PetscScalar*),void*);
1697 
1698 /*S
1699     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
1700               Jacobian vector products
1701 
1702     Notes: MATMFFD is a specific MatType which uses the MatMFFD data structure
1703 
1704            MatMFFD*() methods actually take the Mat as their first argument. Not a MatMFFD data structure
1705 
1706     Level: developer
1707 
1708 .seealso: MATMFFD, MatCreateMFFD(), MatMFFDSetFuction(), MatMFFDSetType(), MatMFFDRegister()
1709 S*/
1710 typedef struct _p_MatMFFD* MatMFFD;
1711 
1712 /*J
1713     MatMFFDType - algorithm used to compute the h used in computing matrix-vector products via differencing of the function
1714 
1715    Level: beginner
1716 
1717 .seealso: MatMFFDSetType(), MatMFFDRegister()
1718 J*/
1719 typedef const char* MatMFFDType;
1720 #define MATMFFD_DS  "ds"
1721 #define MATMFFD_WP  "wp"
1722 
1723 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat,MatMFFDType);
1724 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[],const char[],const char[],PetscErrorCode (*)(MatMFFD));
1725 
1726 /*MC
1727    MatMFFDRegisterDynamic - Adds a method to the MatMFFD registry.
1728 
1729    Synopsis:
1730    PetscErrorCode MatMFFDRegisterDynamic(const char *name_solver,const char *path,const char *name_create,PetscErrorCode (*routine_create)(MatMFFD))
1731 
1732    Not Collective
1733 
1734    Input Parameters:
1735 +  name_solver - name of a new user-defined compute-h module
1736 .  path - path (either absolute or relative) the library containing this solver
1737 .  name_create - name of routine to create method context
1738 -  routine_create - routine to create method context
1739 
1740    Level: developer
1741 
1742    Notes:
1743    MatMFFDRegisterDynamic() may be called multiple times to add several user-defined solvers.
1744 
1745    If dynamic libraries are used, then the fourth input argument (routine_create)
1746    is ignored.
1747 
1748    Sample usage:
1749 .vb
1750    MatMFFDRegisterDynamic("my_h",/home/username/my_lib/lib/libO/solaris/mylib.a,
1751                "MyHCreate",MyHCreate);
1752 .ve
1753 
1754    Then, your solver can be chosen with the procedural interface via
1755 $     MatMFFDSetType(mfctx,"my_h")
1756    or at runtime via the option
1757 $     -snes_mf_type my_h
1758 
1759 .keywords: MatMFFD, register
1760 
1761 .seealso: MatMFFDRegisterAll(), MatMFFDRegisterDestroy()
1762 M*/
1763 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
1764 #define MatMFFDRegisterDynamic(a,b,c,d) MatMFFDRegister(a,b,c,0)
1765 #else
1766 #define MatMFFDRegisterDynamic(a,b,c,d) MatMFFDRegister(a,b,c,d)
1767 #endif
1768 
1769 PETSC_EXTERN PetscErrorCode MatMFFDRegisterAll(const char[]);
1770 PETSC_EXTERN PetscErrorCode MatMFFDRegisterDestroy(void);
1771 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat,PetscReal);
1772 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat,PetscBool );
1773 
1774 
1775 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
1776 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
1777 
1778 /*
1779    PETSc interface to MUMPS
1780 */
1781 #ifdef PETSC_HAVE_MUMPS
1782 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat,PetscInt,PetscInt);
1783 #endif
1784 
1785 /*
1786    PETSc interface to SUPERLU
1787 */
1788 #ifdef PETSC_HAVE_SUPERLU
1789 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat,PetscReal);
1790 #endif
1791 
1792 #if defined PETSC_HAVE_TXPETSCGPU
1793 
1794 /*E
1795     MatCUSPARSEStorageFormat - indicates the storage format for CUSPARSE (GPU)
1796     matrices.
1797 
1798     Not Collective
1799 
1800 +   MAT_CUSPARSE_CSR : Compressed Sparse Row
1801 .   MAT_CUSPARSE_ELL : Ellpack
1802 -   MAT_CUSPARSE_HYB : Hybrid, a combination of Ellpack and Coordinate format.
1803 
1804     Level: intermediate
1805 
1806    Any additions/changes here MUST also be made in include/finclude/petscmat.h
1807 
1808 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEFormatOperation
1809 E*/
1810 
1811 typedef enum {MAT_CUSPARSE_CSR, MAT_CUSPARSE_ELL, MAT_CUSPARSE_HYB} MatCUSPARSEStorageFormat;
1812 
1813 /* these will be strings associated with enumerated type defined above */
1814 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
1815 
1816 /*E
1817     MatCUSPARSEFormatOperation - indicates the operation of CUSPARSE (GPU)
1818     matrices whose operation should use a particular storage format.
1819 
1820     Not Collective
1821 
1822 +   MAT_CUSPARSE_MULT_DIAG : sets the storage format for the diagonal matrix in the parallel MatMult
1823 .   MAT_CUSPARSE_MULT_OFFDIAG : sets the storage format for the offdiagonal matrix in the parallel MatMult
1824 .   MAT_CUSPARSE_MULT : sets the storage format for the entire matrix in the serial (single GPU) MatMult
1825 .   MAT_CUSPARSE_SOLVE : sets the storage format for the triangular factors in the serial (single GPU) MatSolve
1826 -   MAT_CUSPARSE_ALL : sets the storage format for all CUSPARSE (GPU) matrices
1827 
1828     Level: intermediate
1829 
1830 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEStorageFormat
1831 E*/
1832 typedef enum {MAT_CUSPARSE_MULT_DIAG, MAT_CUSPARSE_MULT_OFFDIAG, MAT_CUSPARSE_MULT, MAT_CUSPARSE_SOLVE, MAT_CUSPARSE_ALL} MatCUSPARSEFormatOperation;
1833 
1834 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1835 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1836 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat,MatCUSPARSEFormatOperation,MatCUSPARSEStorageFormat);
1837 
1838 #endif
1839 
1840 #if defined(PETSC_HAVE_CUSP)
1841 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1842 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1843 
1844 /*E
1845     MatCUSPStorageFormat - indicates the storage format for CUSP (GPU)
1846     matrices.
1847 
1848     Not Collective
1849 
1850 +   MAT_CUSP_CSR : Compressed Sparse Row
1851 .   MAT_CUSP_DIA : Diagonal
1852 -   MAT_CUSP_ELL : Ellpack
1853 
1854     Level: intermediate
1855 
1856    Any additions/changes here MUST also be made in include/finclude/petscmat.h
1857 
1858 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1859 E*/
1860 typedef enum {MAT_CUSP_CSR, MAT_CUSP_DIA, MAT_CUSP_ELL} MatCUSPStorageFormat;
1861 
1862 /* these will be strings associated with enumerated type defined above */
1863 PETSC_EXTERN const char *const MatCUSPStorageFormats[];
1864 
1865 /*E
1866     MatCUSPFormatOperation - indicates the operation of CUSP (GPU)
1867     matrices whose operation should use a particular storage format.
1868 
1869     Not Collective
1870 
1871 +   MAT_CUSP_MULT_DIAG : sets the storage format for the diagonal matrix in the parallel MatMult
1872 .   MAT_CUSP_MULT_OFFDIAG : sets the storage format for the offdiagonal matrix in the parallel MatMult
1873 .   MAT_CUSP_MULT : sets the storage format for the entire matrix in the serial (single GPU) MatMult
1874 .   MAT_CUSP_SOLVE : sets the storage format for the triangular factors in the serial (single GPU) MatSolve
1875 -   MAT_CUSP_ALL : sets the storage format for all CUSP (GPU) matrices
1876 
1877     Level: intermediate
1878 
1879    Any additions/changes here MUST also be made in include/finclude/petscmat.h
1880 
1881 .seealso: MatCUSPSetFormat(), MatCUSPStorageFormat
1882 E*/
1883 typedef enum {MAT_CUSP_MULT_DIAG, MAT_CUSP_MULT_OFFDIAG, MAT_CUSP_MULT, MAT_CUSP_SOLVE, MAT_CUSP_ALL} MatCUSPFormatOperation;
1884 
1885 PETSC_EXTERN PetscErrorCode MatCUSPSetFormat(Mat,MatCUSPFormatOperation,MatCUSPStorageFormat);
1886 #endif
1887 
1888 /*
1889    PETSc interface to FFTW
1890 */
1891 #if defined(PETSC_HAVE_FFTW)
1892 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat,Vec,Vec);
1893 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat,Vec,Vec);
1894 PETSC_EXTERN PetscErrorCode MatGetVecsFFTW(Mat,Vec*,Vec*,Vec*);
1895 #endif
1896 
1897 #if defined(PETSC_HAVE_ELEMENTAL)
1898 PETSC_EXTERN PetscErrorCode PetscElementalInitializePackage(const char*);
1899 PETSC_EXTERN PetscErrorCode PetscElementalFinalizePackage(void);
1900 #endif
1901 
1902 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm,PetscInt,const IS[],PetscInt,const IS[],const Mat[],Mat*);
1903 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat,PetscInt*,PetscInt*);
1904 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat,IS[],IS[]);
1905 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat,IS[],IS[]);
1906 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat,PetscInt*,PetscInt*,Mat***);
1907 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat,PetscInt,PetscInt,Mat*);
1908 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat,VecType);
1909 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat,PetscInt,const IS[],PetscInt,const IS[],const Mat[]);
1910 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat,PetscInt,PetscInt,Mat);
1911 
1912 /*
1913  MatIJ:
1914  An unweighted directed pseudograph
1915  An interpretation of this matrix as a (pseudo)graph allows us to define additional operations on it:
1916  A MatIJ can act on sparse arrays: arrays of indices, or index arrays of integers, scalars, or integer-scalar pairs
1917  by mapping the indices to the indices connected to them by the (pseudo)graph ed
1918  */
1919 typedef enum {MATIJ_LOCAL, MATIJ_GLOBAL} MatIJIndexType;
1920 PETSC_EXTERN PetscErrorCode MatIJSetMultivalued(Mat, PetscBool);
1921 PETSC_EXTERN PetscErrorCode MatIJGetMultivalued(Mat, PetscBool*);
1922 PETSC_EXTERN PetscErrorCode MatIJSetEdges(Mat, PetscInt, const PetscInt*, const PetscInt*);
1923 PETSC_EXTERN PetscErrorCode MatIJGetEdges(Mat, PetscInt *, PetscInt **, PetscInt **);
1924 PETSC_EXTERN PetscErrorCode MatIJSetEdgesIS(Mat, IS, IS);
1925 PETSC_EXTERN PetscErrorCode MatIJGetEdgesIS(Mat, IS*, IS*);
1926 PETSC_EXTERN PetscErrorCode MatIJGetRowSizes(Mat, MatIJIndexType, PetscInt, const PetscInt *, PetscInt **);
1927 PETSC_EXTERN PetscErrorCode MatIJGetMinRowSize(Mat, PetscInt *);
1928 PETSC_EXTERN PetscErrorCode MatIJGetMaxRowSize(Mat, PetscInt *);
1929 PETSC_EXTERN PetscErrorCode MatIJGetSupport(Mat,  PetscInt *, PetscInt **);
1930 PETSC_EXTERN PetscErrorCode MatIJGetSupportIS(Mat, IS *);
1931 PETSC_EXTERN PetscErrorCode MatIJGetImage(Mat, PetscInt*, PetscInt**);
1932 PETSC_EXTERN PetscErrorCode MatIJGetImageIS(Mat, IS *);
1933 PETSC_EXTERN PetscErrorCode MatIJGetSupportSize(Mat, PetscInt *);
1934 PETSC_EXTERN PetscErrorCode MatIJGetImageSize(Mat, PetscInt *);
1935 
1936 PETSC_EXTERN PetscErrorCode MatIJBinRenumber(Mat, Mat*);
1937 
1938 PETSC_EXTERN PetscErrorCode MatIJMap(Mat, MatIJIndexType, PetscInt,const PetscInt*,const PetscInt*,const PetscScalar*, MatIJIndexType,PetscInt*,PetscInt**,PetscInt**,PetscScalar**,PetscInt**);
1939 PETSC_EXTERN PetscErrorCode MatIJBin(Mat, MatIJIndexType, PetscInt,const PetscInt*,const PetscInt*,const PetscScalar*,PetscInt*,PetscInt**,PetscInt**,PetscScalar**,PetscInt**);
1940 PETSC_EXTERN PetscErrorCode MatIJBinMap(Mat,Mat, MatIJIndexType,PetscInt,const PetscInt*,const PetscInt*,const PetscScalar*,MatIJIndexType,PetscInt*,PetscInt**,PetscInt**,PetscScalar**,PetscInt**);
1941 
1942 #endif
1943