xref: /petsc/include/petscmat.h (revision 2205254efee3a00a594e5e2a3a70f74dcb40bc03)
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 MatViewFromOptions(Mat,const char[]);
175 PETSC_EXTERN PetscErrorCode MatRegisterAll(const char[]);
176 PETSC_EXTERN PetscErrorCode MatRegister(const char[],const char[],const char[],PetscErrorCode(*)(Mat));
177 PETSC_EXTERN PetscErrorCode MatRegisterBaseName(const char[],const char[],const char[]);
178 PETSC_EXTERN PetscErrorCode MatSetOptionsPrefix(Mat,const char[]);
179 PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefix(Mat,const char[]);
180 PETSC_EXTERN PetscErrorCode MatGetOptionsPrefix(Mat,const char*[]);
181 
182 /*MC
183    MatRegisterDynamic - Adds a new matrix type
184 
185    Synopsis:
186    #include "petscmat.h"
187    PetscErrorCode MatRegisterDynamic(const char *name,const char *path,const char *name_create,PetscErrorCode (*routine_create)(Mat))
188 
189    Not Collective
190 
191    Input Parameters:
192 +  name - name of a new user-defined matrix type
193 .  path - path (either absolute or relative) the library containing this solver
194 .  name_create - name of routine to create method context
195 -  routine_create - routine to create method context
196 
197    Notes:
198    MatRegisterDynamic() may be called multiple times to add several user-defined solvers.
199 
200    If dynamic libraries are used, then the fourth input argument (routine_create)
201    is ignored.
202 
203    Sample usage:
204 .vb
205    MatRegisterDynamic("my_mat",/home/username/my_lib/lib/libO/solaris/mylib.a,
206                "MyMatCreate",MyMatCreate);
207 .ve
208 
209    Then, your solver can be chosen with the procedural interface via
210 $     MatSetType(Mat,"my_mat")
211    or at runtime via the option
212 $     -mat_type my_mat
213 
214    Level: advanced
215 
216    Notes: ${PETSC_ARCH} occuring in pathname will be replaced with appropriate values.
217          If your function is not being put into a shared library then use VecRegister() instead
218 
219 .keywords: Mat, register
220 
221 .seealso: MatRegisterAll(), MatRegisterDestroy()
222 
223 M*/
224 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
225 #define MatRegisterDynamic(a,b,c,d) MatRegister(a,b,c,0)
226 #else
227 #define MatRegisterDynamic(a,b,c,d) MatRegister(a,b,c,d)
228 #endif
229 
230 PETSC_EXTERN PetscBool         MatRegisterAllCalled;
231 PETSC_EXTERN PetscFunctionList MatList;
232 PETSC_EXTERN PetscFunctionList MatColoringList;
233 PETSC_EXTERN PetscFunctionList MatPartitioningList;
234 PETSC_EXTERN PetscFunctionList MatCoarsenList;
235 
236 /*E
237     MatStructure - Indicates if the matrix has the same nonzero structure
238 
239     Level: beginner
240 
241    Any additions/changes here MUST also be made in include/finclude/petscmat.h
242 
243 .seealso: MatCopy(), KSPSetOperators(), PCSetOperators()
244 E*/
245 typedef enum {DIFFERENT_NONZERO_PATTERN,SUBSET_NONZERO_PATTERN,SAME_NONZERO_PATTERN,SAME_PRECONDITIONER} MatStructure;
246 
247 PETSC_EXTERN PetscErrorCode MatCreateSeqDense(MPI_Comm,PetscInt,PetscInt,PetscScalar[],Mat*);
248 PETSC_EXTERN PetscErrorCode MatCreateDense(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar[],Mat*);
249 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
250 PETSC_EXTERN PetscErrorCode MatCreateAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
251 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
252 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSplitArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],PetscInt[],PetscInt[],PetscScalar[],Mat*);
253 
254 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
255 PETSC_EXTERN PetscErrorCode MatCreateBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
256 PETSC_EXTERN PetscErrorCode MatCreateMPIBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat*);
257 
258 PETSC_EXTERN PetscErrorCode MatCreateMPIAdj(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscInt[],Mat*);
259 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
260 
261 PETSC_EXTERN PetscErrorCode MatCreateSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
262 PETSC_EXTERN PetscErrorCode MatCreateMPISBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
263 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
264 PETSC_EXTERN PetscErrorCode MatXAIJSetPreallocation(Mat,PetscInt,const PetscInt*,const PetscInt*,const PetscInt*,const PetscInt*);
265 
266 PETSC_EXTERN PetscErrorCode MatCreateShell(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,void *,Mat*);
267 PETSC_EXTERN PetscErrorCode MatCreateNormal(Mat,Mat*);
268 PETSC_EXTERN PetscErrorCode MatCreateLRC(Mat,Mat,Mat,Mat*);
269 PETSC_EXTERN PetscErrorCode MatCreateIS(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,ISLocalToGlobalMapping,Mat*);
270 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
271 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
272 
273 PETSC_EXTERN PetscErrorCode MatCreateSeqBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
274 PETSC_EXTERN PetscErrorCode MatCreateMPIBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
275 PETSC_EXTERN PetscErrorCode MatCreateSeqSBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
276 PETSC_EXTERN PetscErrorCode MatCreateMPISBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
277 
278 PETSC_EXTERN PetscErrorCode MatCreateScatter(MPI_Comm,VecScatter,Mat*);
279 PETSC_EXTERN PetscErrorCode MatScatterSetVecScatter(Mat,VecScatter);
280 PETSC_EXTERN PetscErrorCode MatScatterGetVecScatter(Mat,VecScatter*);
281 PETSC_EXTERN PetscErrorCode MatCreateBlockMat(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt*,Mat*);
282 PETSC_EXTERN PetscErrorCode MatCompositeAddMat(Mat,Mat);
283 PETSC_EXTERN PetscErrorCode MatCompositeMerge(Mat);
284 PETSC_EXTERN PetscErrorCode MatCreateComposite(MPI_Comm,PetscInt,const Mat*,Mat*);
285 typedef enum {MAT_COMPOSITE_ADDITIVE,MAT_COMPOSITE_MULTIPLICATIVE} MatCompositeType;
286 PETSC_EXTERN PetscErrorCode MatCompositeSetType(Mat,MatCompositeType);
287 
288 PETSC_EXTERN PetscErrorCode MatCreateFFT(MPI_Comm,PetscInt,const PetscInt[],MatType,Mat*);
289 PETSC_EXTERN PetscErrorCode MatCreateSeqCUFFT(MPI_Comm,PetscInt,const PetscInt[],Mat*);
290 
291 PETSC_EXTERN PetscErrorCode MatCreateTranspose(Mat,Mat*);
292 PETSC_EXTERN PetscErrorCode MatCreateSubMatrix(Mat,IS,IS,Mat*);
293 PETSC_EXTERN PetscErrorCode MatSubMatrixUpdate(Mat,Mat,IS,IS);
294 PETSC_EXTERN PetscErrorCode MatCreateLocalRef(Mat,IS,IS,Mat*);
295 
296 PETSC_EXTERN PetscErrorCode MatPythonSetType(Mat,const char[]);
297 
298 PETSC_EXTERN PetscErrorCode MatSetUp(Mat);
299 PETSC_EXTERN PetscErrorCode MatDestroy(Mat*);
300 
301 PETSC_EXTERN PetscErrorCode MatConjugate(Mat);
302 PETSC_EXTERN PetscErrorCode MatRealPart(Mat);
303 PETSC_EXTERN PetscErrorCode MatImaginaryPart(Mat);
304 PETSC_EXTERN PetscErrorCode MatGetDiagonalBlock(Mat,Mat*);
305 PETSC_EXTERN PetscErrorCode MatGetTrace(Mat,PetscScalar*);
306 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonal(Mat,const PetscScalar **);
307 
308 /* ------------------------------------------------------------*/
309 PETSC_EXTERN PetscErrorCode MatSetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
310 PETSC_EXTERN PetscErrorCode MatSetValuesBlocked(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
311 PETSC_EXTERN PetscErrorCode MatSetValuesRow(Mat,PetscInt,const PetscScalar[]);
312 PETSC_EXTERN PetscErrorCode MatSetValuesRowLocal(Mat,PetscInt,const PetscScalar[]);
313 PETSC_EXTERN PetscErrorCode MatSetValuesBatch(Mat,PetscInt,PetscInt,PetscInt[],const PetscScalar[]);
314 PETSC_EXTERN PetscErrorCode MatSetRandom(Mat,PetscRandom);
315 
316 /*S
317      MatStencil - Data structure (C struct) for storing information about a single row or
318         column of a matrix as indexed on an associated grid.
319 
320    Fortran usage is different, see MatSetValuesStencil() for details.
321 
322    Level: beginner
323 
324   Concepts: matrix; linear operator
325 
326 .seealso:  MatSetValuesStencil(), MatSetStencil(), MatSetValuesBlockedStencil()
327 S*/
328 typedef struct {
329   PetscInt k,j,i,c;
330 } MatStencil;
331 
332 PETSC_EXTERN PetscErrorCode MatSetValuesStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
333 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
334 PETSC_EXTERN PetscErrorCode MatSetStencil(Mat,PetscInt,const PetscInt[],const PetscInt[],PetscInt);
335 
336 PETSC_EXTERN PetscErrorCode MatSetColoring(Mat,ISColoring);
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*,const PetscInt *[],const PetscInt *[],PetscBool  *);
457 PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
458 PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
459 PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const 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 MatMatMatMult(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
561 PETSC_EXTERN PetscErrorCode MatMatMatMultSymbolic(Mat,Mat,Mat,PetscReal,Mat*);
562 PETSC_EXTERN PetscErrorCode MatMatMatMultNumeric(Mat,Mat,Mat,Mat);
563 
564 PETSC_EXTERN PetscErrorCode MatPtAP(Mat,Mat,MatReuse,PetscReal,Mat*);
565 PETSC_EXTERN PetscErrorCode MatPtAPSymbolic(Mat,Mat,PetscReal,Mat*);
566 PETSC_EXTERN PetscErrorCode MatPtAPNumeric(Mat,Mat,Mat);
567 PETSC_EXTERN PetscErrorCode MatRARt(Mat,Mat,MatReuse,PetscReal,Mat*);
568 PETSC_EXTERN PetscErrorCode MatRARtSymbolic(Mat,Mat,PetscReal,Mat*);
569 PETSC_EXTERN PetscErrorCode MatRARtNumeric(Mat,Mat,Mat);
570 
571 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
572 PETSC_EXTERN PetscErrorCode MatTransposetMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
573 PETSC_EXTERN PetscErrorCode MatTransposetMatMultNumeric(Mat,Mat,Mat);
574 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat,Mat,MatReuse,PetscReal,Mat*);
575 PETSC_EXTERN PetscErrorCode MatMatTransposeMultSymbolic(Mat,Mat,PetscReal,Mat*);
576 PETSC_EXTERN PetscErrorCode MatMatTransposeMultNumeric(Mat,Mat,Mat);
577 
578 PETSC_EXTERN PetscErrorCode MatAXPY(Mat,PetscScalar,Mat,MatStructure);
579 PETSC_EXTERN PetscErrorCode MatAYPX(Mat,PetscScalar,Mat,MatStructure);
580 
581 PETSC_EXTERN PetscErrorCode MatScale(Mat,PetscScalar);
582 PETSC_EXTERN PetscErrorCode MatShift(Mat,PetscScalar);
583 
584 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
585 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMappingBlock(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
586 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
587 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMappingBlock(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
588 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
589 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
590 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
591 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
592 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
593 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
594 
595 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat,PetscInt,PetscInt);
596 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat,PetscInt*,PetscInt*,PetscInt*,PetscInt*);
597 
598 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat,Vec,Vec);
599 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat,Vec,Vec,Vec);
600 PETSC_EXTERN PetscErrorCode MatRestrict(Mat,Vec,Vec);
601 PETSC_EXTERN PetscErrorCode MatGetVecs(Mat,Vec*,Vec*);
602 PETSC_EXTERN PetscErrorCode MatGetRedundantMatrix(Mat,PetscInt,MPI_Comm,PetscInt,MatReuse,Mat*);
603 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat,MPI_Comm,MatReuse,Mat*);
604 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat,IS*);
605 
606 /*MC
607    MatSetValue - Set a single entry into a matrix.
608 
609    Not collective
610 
611    Input Parameters:
612 +  m - the matrix
613 .  row - the row location of the entry
614 .  col - the column location of the entry
615 .  value - the value to insert
616 -  mode - either INSERT_VALUES or ADD_VALUES
617 
618    Notes:
619    For efficiency one should use MatSetValues() and set several or many
620    values simultaneously if possible.
621 
622    Level: beginner
623 
624 .seealso: MatSetValues(), MatSetValueLocal()
625 M*/
626 PETSC_STATIC_INLINE PetscErrorCode MatSetValue(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValues(v,1,&i,1,&j,&va,mode);}
627 
628 PETSC_STATIC_INLINE PetscErrorCode MatGetValue(Mat v,PetscInt i,PetscInt j,PetscScalar *va) {return MatGetValues(v,1,&i,1,&j,va);}
629 
630 PETSC_STATIC_INLINE PetscErrorCode MatSetValueLocal(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValuesLocal(v,1,&i,1,&j,&va,mode);}
631 
632 /*MC
633    MatPreallocateInitialize - Begins the block of code that will count the number of nonzeros per
634        row in a matrix providing the data that one can use to correctly preallocate the matrix.
635 
636    Synopsis:
637    #include "petscmat.h"
638    PetscErrorCode MatPreallocateInitialize(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
639 
640    Collective on MPI_Comm
641 
642    Input Parameters:
643 +  comm - the communicator that will share the eventually allocated matrix
644 .  nrows - the number of LOCAL rows in the matrix
645 -  ncols - the number of LOCAL columns in the matrix
646 
647    Output Parameters:
648 +  dnz - the array that will be passed to the matrix preallocation routines
649 -  ozn - the other array passed to the matrix preallocation routines
650 
651 
652    Level: intermediate
653 
654    Notes:
655     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
656 
657    Do not malloc or free dnz and onz, that is handled internally by these routines
658 
659    Use MatPreallocateInitializeSymmetric() for symmetric matrices (MPISBAIJ matrices)
660 
661    This is a MACRO not a function because it has a leading { that is closed by PetscPreallocateFinalize().
662 
663   Concepts: preallocation^Matrix
664 
665 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateSetLocal(),
666           MatPreallocateInitializeSymmetric(), MatPreallocateSymmetricSetLocal()
667 M*/
668 #define MatPreallocateInitialize(comm,nrows,ncols,dnz,onz) 0; \
669 { \
670   PetscErrorCode _4_ierr; PetscInt __nrows = (nrows),__ctmp = (ncols),__rstart,__start,__end; \
671   _4_ierr = PetscMalloc2(__nrows,PetscInt,&dnz,__nrows,PetscInt,&onz);CHKERRQ(_4_ierr); \
672   _4_ierr = PetscMemzero(dnz,__nrows*sizeof(PetscInt));CHKERRQ(_4_ierr);\
673   _4_ierr = PetscMemzero(onz,__nrows*sizeof(PetscInt));CHKERRQ(_4_ierr); __start = 0; __end = __start; \
674   _4_ierr = MPI_Scan(&__ctmp,&__end,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __start = __end - __ctmp;\
675   _4_ierr = MPI_Scan(&__nrows,&__rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __nrows;
676 
677 /*MC
678    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
679        inserted using a local number of the rows and columns
680 
681    Synopsis:
682    #include "petscmat.h"
683    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
684 
685    Not Collective
686 
687    Input Parameters:
688 +  map - the row mapping from local numbering to global numbering
689 .  nrows - the number of rows indicated
690 .  rows - the indices of the rows
691 .  cmap - the column mapping from local to global numbering
692 .  ncols - the number of columns in the matrix
693 .  cols - the columns indicated
694 .  dnz - the array that will be passed to the matrix preallocation routines
695 -  ozn - the other array passed to the matrix preallocation routines
696 
697 
698    Level: intermediate
699 
700    Notes:
701     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
702 
703    Do not malloc or free dnz and onz, that is handled internally by these routines
704 
705   Concepts: preallocation^Matrix
706 
707 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
708           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal()
709 M*/
710 #define MatPreallocateSetLocal(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
711 {\
712   PetscInt __l;\
713   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
714   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
715   for (__l=0;__l<nrows;__l++) {\
716     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
717   }\
718 }
719 
720 /*MC
721    MatPreallocateSymmetricSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
722        inserted using a local number of the rows and columns
723 
724    Synopsis:
725    #include "petscmat.h"
726    PetscErrorCode MatPreallocateSymmetricSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
727 
728    Not Collective
729 
730    Input Parameters:
731 +  map - the mapping between local numbering and global numbering
732 .  nrows - the number of rows indicated
733 .  rows - the indices of the rows
734 .  ncols - the number of columns in the matrix
735 .  cols - the columns indicated
736 .  dnz - the array that will be passed to the matrix preallocation routines
737 -  ozn - the other array passed to the matrix preallocation routines
738 
739 
740    Level: intermediate
741 
742    Notes:
743     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
744 
745    Do not malloc or free dnz and onz that is handled internally by these routines
746 
747   Concepts: preallocation^Matrix
748 
749 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
750           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal(), MatPreallocateSetLocal()
751 M*/
752 #define MatPreallocateSymmetricSetLocal(map,nrows,rows,ncols,cols,dnz,onz) 0;\
753 {\
754   PetscInt __l;\
755   _4_ierr = ISLocalToGlobalMappingApply(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
756   _4_ierr = ISLocalToGlobalMappingApply(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
757   for (__l=0;__l<nrows;__l++) {\
758     _4_ierr = MatPreallocateSymmetricSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
759   }\
760 }
761 
762 /*MC
763    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
764        inserted using a local number of the rows and columns
765 
766    Synopsis:
767    #include "petscmat.h"
768    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
769 
770    Not Collective
771 
772    Input Parameters:
773 +  row - the row
774 .  ncols - the number of columns in the matrix
775 -  cols - the columns indicated
776 
777    Output Parameters:
778 +  dnz - the array that will be passed to the matrix preallocation routines
779 -  ozn - the other array passed to the matrix preallocation routines
780 
781 
782    Level: intermediate
783 
784    Notes:
785     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
786 
787    Do not malloc or free dnz and onz that is handled internally by these routines
788 
789    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
790 
791   Concepts: preallocation^Matrix
792 
793 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
794           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal(), MatPreallocateSetLocal()
795 M*/
796 #define MatPreallocateSet(row,nc,cols,dnz,onz) 0;\
797 { PetscInt __i; \
798   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);\
799   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);\
800   for (__i=0; __i<nc; __i++) {\
801     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
802     else dnz[row - __rstart]++;\
803   }\
804 }
805 
806 /*MC
807    MatPreallocateSymmetricSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
808        inserted using a local number of the rows and columns
809 
810    Synopsis:
811    #include "petscmat.h"
812    PetscErrorCode MatPreallocateSymmetricSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
813 
814    Not Collective
815 
816    Input Parameters:
817 +  nrows - the number of rows indicated
818 .  rows - the indices of the rows
819 .  ncols - the number of columns in the matrix
820 .  cols - the columns indicated
821 .  dnz - the array that will be passed to the matrix preallocation routines
822 -  ozn - the other array passed to the matrix preallocation routines
823 
824 
825    Level: intermediate
826 
827    Notes:
828     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
829 
830    Do not malloc or free dnz and onz that is handled internally by these routines
831 
832    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
833 
834   Concepts: preallocation^Matrix
835 
836 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
837           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal(), MatPreallocateSetLocal()
838 M*/
839 #define MatPreallocateSymmetricSet(row,nc,cols,dnz,onz) 0;\
840 { PetscInt __i; \
841   for (__i=0; __i<nc; __i++) {\
842     if (cols[__i] >= __end) onz[row - __rstart]++; \
843     else if (cols[__i] >= row) dnz[row - __rstart]++;\
844   }\
845 }
846 
847 /*MC
848    MatPreallocateLocation -  An alternative to MatPreallocationSet() that puts the nonzero locations into the matrix if it exists
849 
850    Synopsis:
851    #include "petscmat.h"
852    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
853 
854    Not Collective
855 
856    Input Parameters:
857 .  A - matrix
858 .  row - row where values exist (must be local to this process)
859 .  ncols - number of columns
860 .  cols - columns with nonzeros
861 .  dnz - the array that will be passed to the matrix preallocation routines
862 -  ozn - the other array passed to the matrix preallocation routines
863 
864 
865    Level: intermediate
866 
867    Notes:
868     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
869 
870    Do not malloc or free dnz and onz that is handled internally by these routines
871 
872    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
873 
874   Concepts: preallocation^Matrix
875 
876 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateSetLocal(),
877           MatPreallocateSymmetricSetLocal()
878 M*/
879 #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);}
880 
881 
882 /*MC
883    MatPreallocateFinalize - Ends the block of code that will count the number of nonzeros per
884        row in a matrix providing the data that one can use to correctly preallocate the matrix.
885 
886    Synopsis:
887    #include "petscmat.h"
888    PetscErrorCode MatPreallocateFinalize(PetscInt *dnz, PetscInt *onz)
889 
890    Collective on MPI_Comm
891 
892    Input Parameters:
893 +  dnz - the array that was be passed to the matrix preallocation routines
894 -  ozn - the other array passed to the matrix preallocation routines
895 
896 
897    Level: intermediate
898 
899    Notes:
900     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
901 
902    Do not malloc or free dnz and onz that is handled internally by these routines
903 
904    This is a MACRO not a function because it closes the { started in MatPreallocateInitialize().
905 
906   Concepts: preallocation^Matrix
907 
908 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateSetLocal(),
909           MatPreallocateSymmetricSetLocal()
910 M*/
911 #define MatPreallocateFinalize(dnz,onz) 0;_4_ierr = PetscFree2(dnz,onz);CHKERRQ(_4_ierr);}
912 
913 
914 
915 /* Routines unique to particular data structures */
916 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat,void *);
917 
918 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat,IS*,IS*);
919 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat,PetscInt *,PetscInt *[],PetscInt *);
920 
921 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat,PetscInt[]);
922 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat,PetscInt[]);
923 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
924 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
925 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
926 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*,PetscInt,PetscBool);
927 
928 #define MAT_SKIP_ALLOCATION -4
929 
930 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
931 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
932 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat,PetscInt,const PetscInt[]);
933 
934 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
935 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
936 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
937 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat,const PetscInt [],const PetscInt [],const PetscScalar []);
938 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
939 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]);
940 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
941 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat,PetscInt[],PetscInt[],PetscInt[]);
942 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
943 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
944 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
945 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
946 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat,Mat*);
947 
948 PETSC_EXTERN PetscErrorCode MatSeqDenseSetLDA(Mat,PetscInt);
949 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat,Mat*);
950 
951 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
952 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
953 
954 PETSC_EXTERN PetscErrorCode MatDAADSetCtx(Mat,void*);
955 
956 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat,IS*);
957 /*
958   These routines are not usually accessed directly, rather solving is
959   done through the KSP and PC interfaces.
960 */
961 
962 /*J
963     MatOrderingType - String with the name of a PETSc matrix ordering or the creation function
964        with an optional dynamic library name, for example
965        http://www.mcs.anl.gov/petsc/lib.a:orderingcreate()
966 
967    Level: beginner
968 
969    Cannot use const because the PC objects manipulate the string
970 
971 .seealso: MatGetOrdering()
972 J*/
973 typedef const char* MatOrderingType;
974 #define MATORDERINGNATURAL     "natural"
975 #define MATORDERINGND          "nd"
976 #define MATORDERING1WD         "1wd"
977 #define MATORDERINGRCM         "rcm"
978 #define MATORDERINGQMD         "qmd"
979 #define MATORDERINGROWLENGTH   "rowlength"
980 #define MATORDERINGAMD         "amd"            /* only works if UMFPACK is installed with PETSc */
981 
982 PETSC_EXTERN PetscErrorCode MatGetOrdering(Mat,MatOrderingType,IS*,IS*);
983 PETSC_EXTERN PetscErrorCode MatGetOrderingList(PetscFunctionList*);
984 PETSC_EXTERN PetscErrorCode MatOrderingRegister(const char[],const char[],const char[],PetscErrorCode(*)(Mat,MatOrderingType,IS*,IS*));
985 
986 /*MC
987    MatOrderingRegisterDynamic - Adds a new sparse matrix ordering to the matrix package.
988 
989    Synopsis:
990    #include "petscmat.h"
991    PetscErrorCode MatOrderingRegisterDynamic(const char *name_ordering,const char *path,const char *name_create,PetscErrorCode (*routine_create)(MatOrdering))
992 
993    Not Collective
994 
995    Input Parameters:
996 +  sname - name of ordering (for example MATORDERINGND)
997 .  path - location of library where creation routine is
998 .  name - name of function that creates the ordering type,a string
999 -  function - function pointer that creates the ordering
1000 
1001    Level: developer
1002 
1003    If dynamic libraries are used, then the fourth input argument (function)
1004    is ignored.
1005 
1006    Sample usage:
1007 .vb
1008    MatOrderingRegisterDynamic("my_order",/home/username/my_lib/lib/libO/solaris/mylib.a,
1009                "MyOrder",MyOrder);
1010 .ve
1011 
1012    Then, your partitioner can be chosen with the procedural interface via
1013 $     MatOrderingSetType(part,"my_order)
1014    or at runtime via the option
1015 $     -pc_factor_mat_ordering_type my_order
1016 
1017    ${PETSC_ARCH} occuring in pathname will be replaced with appropriate values.
1018 
1019 .keywords: matrix, ordering, register
1020 
1021 .seealso: MatOrderingRegisterDestroy(), MatOrderingRegisterAll()
1022 M*/
1023 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
1024 #define MatOrderingRegisterDynamic(a,b,c,d) MatOrderingRegister(a,b,c,0)
1025 #else
1026 #define MatOrderingRegisterDynamic(a,b,c,d) MatOrderingRegister(a,b,c,d)
1027 #endif
1028 
1029 PETSC_EXTERN PetscErrorCode MatOrderingRegisterDestroy(void);
1030 PETSC_EXTERN PetscErrorCode MatOrderingRegisterAll(const char[]);
1031 PETSC_EXTERN PetscBool         MatOrderingRegisterAllCalled;
1032 PETSC_EXTERN PetscFunctionList MatOrderingList;
1033 
1034 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
1035 
1036 /*S
1037     MatFactorShiftType - Numeric Shift.
1038 
1039    Level: beginner
1040 
1041 S*/
1042 typedef enum {MAT_SHIFT_NONE,MAT_SHIFT_NONZERO,MAT_SHIFT_POSITIVE_DEFINITE,MAT_SHIFT_INBLOCKS} MatFactorShiftType;
1043 PETSC_EXTERN const char *const MatFactorShiftTypes[];
1044 
1045 /*S
1046    MatFactorInfo - Data passed into the matrix factorization routines
1047 
1048    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE, that is use
1049 $     MatFactorInfo  info(MAT_FACTORINFO_SIZE)
1050 
1051    Notes: These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
1052 
1053       You can use MatFactorInfoInitialize() to set default values.
1054 
1055    Level: developer
1056 
1057 .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor(),
1058           MatFactorInfoInitialize()
1059 
1060 S*/
1061 typedef struct {
1062   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
1063   PetscReal     usedt;
1064   PetscReal     dt;             /* drop tolerance */
1065   PetscReal     dtcol;          /* tolerance for pivoting */
1066   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
1067   PetscReal     fill;           /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1068   PetscReal     levels;         /* ICC/ILU(levels) */
1069   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1070                                    factorization may be faster if do not pivot */
1071   PetscReal     zeropivot;      /* pivot is called zero if less than this */
1072   PetscReal     shifttype;      /* type of shift added to matrix factor to prevent zero pivots */
1073   PetscReal     shiftamount;     /* how large the shift is */
1074 } MatFactorInfo;
1075 
1076 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo*);
1077 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat,IS,const MatFactorInfo*);
1078 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1079 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat,Mat,const MatFactorInfo*);
1080 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat,IS,IS,const MatFactorInfo*);
1081 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat,IS,IS,const MatFactorInfo*);
1082 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1083 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1084 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1085 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat,IS,const MatFactorInfo*);
1086 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat,Mat,const MatFactorInfo*);
1087 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat,PetscInt*,PetscInt*,PetscInt*);
1088 PETSC_EXTERN PetscErrorCode MatSolve(Mat,Vec,Vec);
1089 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat,Vec,Vec);
1090 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat,Vec,Vec);
1091 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat,Vec,Vec,Vec);
1092 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat,Vec,Vec);
1093 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
1094 PETSC_EXTERN PetscErrorCode MatSolves(Mat,Vecs,Vecs);
1095 
1096 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
1097 
1098 /*E
1099     MatSORType - What type of (S)SOR to perform
1100 
1101     Level: beginner
1102 
1103    May be bitwise ORd together
1104 
1105    Any additions/changes here MUST also be made in include/finclude/petscmat.h
1106 
1107    MatSORType may be bitwise ORd together, so do not change the numbers
1108 
1109 .seealso: MatSOR()
1110 E*/
1111 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
1112               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
1113               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
1114               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
1115 PETSC_EXTERN PetscErrorCode MatSOR(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
1116 
1117 /*
1118     These routines are for efficiently computing Jacobians via finite differences.
1119 */
1120 
1121 /*J
1122     MatColoringType - String with the name of a PETSc matrix coloring or the creation function
1123        with an optional dynamic library name, for example
1124        http://www.mcs.anl.gov/petsc/lib.a:coloringcreate()
1125 
1126    Level: beginner
1127 
1128 .seealso: MatGetColoring()
1129 J*/
1130 typedef const char* MatColoringType;
1131 #define MATCOLORINGNATURAL "natural"
1132 #define MATCOLORINGSL      "sl"
1133 #define MATCOLORINGLF      "lf"
1134 #define MATCOLORINGID      "id"
1135 
1136 PETSC_EXTERN PetscErrorCode MatGetColoring(Mat,MatColoringType,ISColoring*);
1137 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[],const char[],const char[],PetscErrorCode(*)(Mat,MatColoringType,ISColoring *));
1138 
1139 /*MC
1140    MatColoringRegisterDynamic - Adds a new sparse matrix coloring to the
1141                                matrix package.
1142 
1143    Synopsis:
1144    #include "petscmat.h"
1145    PetscErrorCode MatColoringRegisterDynamic(const char *name_coloring,const char *path,const char *name_create,PetscErrorCode (*routine_create)(MatColoring))
1146 
1147    Not Collective
1148 
1149    Input Parameters:
1150 +  sname - name of Coloring (for example MATCOLORINGSL)
1151 .  path - location of library where creation routine is
1152 .  name - name of function that creates the Coloring type, a string
1153 -  function - function pointer that creates the coloring
1154 
1155    Level: developer
1156 
1157    If dynamic libraries are used, then the fourth input argument (function)
1158    is ignored.
1159 
1160    Sample usage:
1161 .vb
1162    MatColoringRegisterDynamic("my_color",/home/username/my_lib/lib/libO/solaris/mylib.a,
1163                "MyColor",MyColor);
1164 .ve
1165 
1166    Then, your partitioner can be chosen with the procedural interface via
1167 $     MatColoringSetType(part,"my_color")
1168    or at runtime via the option
1169 $     -mat_coloring_type my_color
1170 
1171    $PETSC_ARCH occuring in pathname will be replaced with appropriate values.
1172 
1173 .keywords: matrix, Coloring, register
1174 
1175 .seealso: MatColoringRegisterDestroy(), MatColoringRegisterAll()
1176 M*/
1177 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
1178 #define MatColoringRegisterDynamic(a,b,c,d) MatColoringRegister(a,b,c,0)
1179 #else
1180 #define MatColoringRegisterDynamic(a,b,c,d) MatColoringRegister(a,b,c,d)
1181 #endif
1182 
1183 PETSC_EXTERN PetscBool MatColoringRegisterAllCalled;
1184 
1185 PETSC_EXTERN PetscErrorCode MatColoringRegisterAll(const char[]);
1186 PETSC_EXTERN PetscErrorCode MatColoringRegisterDestroy(void);
1187 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat,PetscInt,PetscInt,ISColoringValue[],ISColoring*);
1188 
1189 /*S
1190      MatFDColoring - Object for computing a sparse Jacobian via finite differences
1191         and coloring
1192 
1193    Level: beginner
1194 
1195   Concepts: coloring, sparse Jacobian, finite differences
1196 
1197 .seealso:  MatFDColoringCreate()
1198 S*/
1199 typedef struct _p_MatFDColoring* MatFDColoring;
1200 
1201 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
1202 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring*);
1203 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring,PetscViewer);
1204 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring,PetscErrorCode (*)(void),void*);
1205 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring,PetscErrorCode (**)(void),void**);
1206 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
1207 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1208 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat,MatFDColoring,Vec,MatStructure*,void *);
1209 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring,Vec);
1210 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring,PetscInt*,PetscInt*[]);
1211 
1212 /*S
1213      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring
1214 
1215    Level: beginner
1216 
1217   Concepts: coloring, sparse matrix product
1218 
1219 .seealso:  MatTransposeColoringCreate()
1220 S*/
1221 typedef struct _p_MatTransposeColoring* MatTransposeColoring;
1222 
1223 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat,ISColoring,MatTransposeColoring *);
1224 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring,Mat,Mat);
1225 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring,Mat,Mat);
1226 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring*);
1227 
1228 /*
1229     These routines are for partitioning matrices: currently used only
1230   for adjacency matrix, MatCreateMPIAdj().
1231 */
1232 
1233 /*S
1234      MatPartitioning - Object for managing the partitioning of a matrix or graph
1235 
1236    Level: beginner
1237 
1238   Concepts: partitioning
1239 
1240 .seealso:  MatPartitioningCreate(), MatPartitioningType
1241 S*/
1242 typedef struct _p_MatPartitioning* MatPartitioning;
1243 
1244 /*J
1245     MatPartitioningType - String with the name of a PETSc matrix partitioning or the creation function
1246        with an optional dynamic library name, for example
1247        http://www.mcs.anl.gov/petsc/lib.a:partitioningcreate()
1248 
1249    Level: beginner
1250 dm
1251 .seealso: MatPartitioningCreate(), MatPartitioning
1252 J*/
1253 typedef const char* MatPartitioningType;
1254 #define MATPARTITIONINGCURRENT  "current"
1255 #define MATPARTITIONINGSQUARE   "square"
1256 #define MATPARTITIONINGPARMETIS "parmetis"
1257 #define MATPARTITIONINGCHACO    "chaco"
1258 #define MATPARTITIONINGPARTY    "party"
1259 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1260 
1261 
1262 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1263 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning,MatPartitioningType);
1264 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning,PetscInt);
1265 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning,Mat);
1266 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning,const PetscInt[]);
1267 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1268 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning,IS*);
1269 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning*);
1270 
1271 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[],const char[],const char[],PetscErrorCode (*)(MatPartitioning));
1272 
1273 /*MC
1274    MatPartitioningRegisterDynamic - Adds a new sparse matrix partitioning to the
1275    matrix package.
1276 
1277    Synopsis:
1278    #include "petscmat.h"
1279    PetscErrorCode MatPartitioningRegisterDynamic(const char *name_partitioning,const char *path,const char *name_create,PetscErrorCode (*routine_create)(MatPartitioning))
1280 
1281    Not Collective
1282 
1283    Input Parameters:
1284 +  sname - name of partitioning (for example MATPARTITIONINGCURRENT) or parmetis
1285 .  path - location of library where creation routine is
1286 .  name - name of function that creates the partitioning type, a string
1287 -  function - function pointer that creates the partitioning type
1288 
1289    Level: developer
1290 
1291    If dynamic libraries are used, then the fourth input argument (function)
1292    is ignored.
1293 
1294    Sample usage:
1295 .vb
1296    MatPartitioningRegisterDynamic("my_part",/home/username/my_lib/lib/libO/solaris/mylib.a,
1297                "MyPartCreate",MyPartCreate);
1298 .ve
1299 
1300    Then, your partitioner can be chosen with the procedural interface via
1301 $     MatPartitioningSetType(part,"my_part")
1302    or at runtime via the option
1303 $     -mat_partitioning_type my_part
1304 
1305    $PETSC_ARCH occuring in pathname will be replaced with appropriate values.
1306 
1307 .keywords: matrix, partitioning, register
1308 
1309 .seealso: MatPartitioningRegisterDestroy(), MatPartitioningRegisterAll()
1310 M*/
1311 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
1312 #define MatPartitioningRegisterDynamic(a,b,c,d) MatPartitioningRegister(a,b,c,0)
1313 #else
1314 #define MatPartitioningRegisterDynamic(a,b,c,d) MatPartitioningRegister(a,b,c,d)
1315 #endif
1316 
1317 PETSC_EXTERN PetscBool MatPartitioningRegisterAllCalled;
1318 
1319 PETSC_EXTERN PetscErrorCode MatPartitioningRegisterAll(const char[]);
1320 PETSC_EXTERN PetscErrorCode MatPartitioningRegisterDestroy(void);
1321 
1322 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning,PetscViewer);
1323 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1324 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
1325 
1326 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1327 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1328 
1329 typedef enum { MP_CHACO_MULTILEVEL=1,MP_CHACO_SPECTRAL=2,MP_CHACO_LINEAR=4,MP_CHACO_RANDOM=5,MP_CHACO_SCATTERED=6 } MPChacoGlobalType;
1330 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1331 typedef enum { MP_CHACO_KERNIGHAN=1,MP_CHACO_NONE=2 } MPChacoLocalType;
1332 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1333 typedef enum { MP_CHACO_LANCZOS=0,MP_CHACO_RQI=1 } MPChacoEigenType;
1334 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1335 
1336 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning,MPChacoGlobalType);
1337 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning,MPChacoGlobalType*);
1338 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning,MPChacoLocalType);
1339 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning,MPChacoLocalType*);
1340 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning,PetscReal);
1341 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning,MPChacoEigenType);
1342 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning,MPChacoEigenType*);
1343 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning,PetscReal);
1344 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning,PetscReal*);
1345 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning,PetscInt);
1346 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning,PetscInt*);
1347 
1348 #define MP_PARTY_OPT "opt"
1349 #define MP_PARTY_LIN "lin"
1350 #define MP_PARTY_SCA "sca"
1351 #define MP_PARTY_RAN "ran"
1352 #define MP_PARTY_GBF "gbf"
1353 #define MP_PARTY_GCF "gcf"
1354 #define MP_PARTY_BUB "bub"
1355 #define MP_PARTY_DEF "def"
1356 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning,const char*);
1357 #define MP_PARTY_HELPFUL_SETS "hs"
1358 #define MP_PARTY_KERNIGHAN_LIN "kl"
1359 #define MP_PARTY_NONE "no"
1360 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning,const char*);
1361 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning,PetscReal);
1362 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning,PetscBool);
1363 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning,PetscBool);
1364 
1365 typedef enum { MP_PTSCOTCH_QUALITY,MP_PTSCOTCH_SPEED,MP_PTSCOTCH_BALANCE,MP_PTSCOTCH_SAFETY,MP_PTSCOTCH_SCALABILITY } MPPTScotchStrategyType;
1366 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1367 
1368 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning,PetscReal);
1369 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning,PetscReal*);
1370 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning,MPPTScotchStrategyType);
1371 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning,MPPTScotchStrategyType*);
1372 
1373 /*
1374     These routines are for coarsening matrices:
1375 */
1376 
1377 /*S
1378      MatCoarsen - Object for managing the coarsening of a graph (symmetric matrix)
1379 
1380    Level: beginner
1381 
1382   Concepts: coarsen
1383 
1384 .seealso:  MatCoarsenCreate), MatCoarsenType
1385 S*/
1386 typedef struct _p_MatCoarsen* MatCoarsen;
1387 
1388 /*J
1389     MatCoarsenType - String with the name of a PETSc matrix coarsen or the creation function
1390        with an optional dynamic library name, for example
1391        http://www.mcs.anl.gov/petsc/lib.a:coarsencreate()
1392 
1393    Level: beginner
1394 dm
1395 .seealso: MatCoarsenCreate(), MatCoarsen
1396 J*/
1397 typedef const char* MatCoarsenType;
1398 #define MATCOARSENMIS  "mis"
1399 #define MATCOARSENHEM  "hem"
1400 
1401 /* linked list for aggregates */
1402 typedef struct _PetscCDIntNd{
1403   struct _PetscCDIntNd *next;
1404   PetscInt   gid;
1405 }PetscCDIntNd;
1406 
1407 /* only used by node pool */
1408 typedef struct _PetscCDArrNd{
1409   struct _PetscCDArrNd *next;
1410   struct _PetscCDIntNd *array;
1411 }PetscCDArrNd;
1412 
1413 typedef struct _PetscCoarsenData{
1414   /* node pool */
1415   PetscCDArrNd  pool_list;
1416   PetscCDIntNd *new_node;
1417   PetscInt   new_left;
1418   PetscInt   chk_sz;
1419   PetscCDIntNd *extra_nodes;
1420   /* Array of lists */
1421   PetscCDIntNd **array;
1422   PetscInt size;
1423   /* cache a Mat for communication data */
1424   Mat mat;
1425   /* cache IS of removed equations */
1426   /* IS removedIS; */
1427 }PetscCoarsenData;
1428 
1429 PETSC_EXTERN PetscErrorCode MatCoarsenCreate(MPI_Comm,MatCoarsen*);
1430 PETSC_EXTERN PetscErrorCode MatCoarsenSetType(MatCoarsen,MatCoarsenType);
1431 PETSC_EXTERN PetscErrorCode MatCoarsenSetAdjacency(MatCoarsen,Mat);
1432 PETSC_EXTERN PetscErrorCode MatCoarsenSetGreedyOrdering(MatCoarsen,const IS);
1433 PETSC_EXTERN PetscErrorCode MatCoarsenSetStrictAggs(MatCoarsen,PetscBool);
1434 PETSC_EXTERN PetscErrorCode MatCoarsenSetVerbose(MatCoarsen,PetscInt);
1435 PETSC_EXTERN PetscErrorCode MatCoarsenGetData( MatCoarsen, PetscCoarsenData ** );
1436 PETSC_EXTERN PetscErrorCode MatCoarsenApply(MatCoarsen);
1437 PETSC_EXTERN PetscErrorCode MatCoarsenDestroy(MatCoarsen*);
1438 
1439 PETSC_EXTERN PetscErrorCode MatCoarsenRegister(const char[],const char[],const char[],PetscErrorCode (*)(MatCoarsen));
1440 
1441 /*MC
1442    MatCoarsenRegisterDynamic - Adds a new sparse matrix coarsen to the
1443    matrix package.
1444 
1445    Synopsis:
1446    #include "petscmat.h"
1447    PetscErrorCode MatCoarsenRegisterDynamic(const char *name_coarsen,const char *path,const char *name_create,PetscErrorCode (*routine_create)(MatCoarsen))
1448 
1449    Not Collective
1450 
1451    Input Parameters:
1452 +  sname - name of coarsen (for example MATCOARSENMIS)
1453 .  path - location of library where creation routine is
1454 .  name - name of function that creates the coarsen type, a string
1455 -  function - function pointer that creates the coarsen type
1456 
1457    Level: developer
1458 
1459    If dynamic libraries are used, then the fourth input argument (function)
1460    is ignored.
1461 
1462    Sample usage:
1463 .vb
1464    MatCoarsenRegisterDynamic("my_agg",/home/username/my_lib/lib/libO/solaris/mylib.a,
1465                "MyAggCreate",MyAggCreate);
1466 .ve
1467 
1468    Then, your aggregator can be chosen with the procedural interface via
1469 $     MatCoarsenSetType(agg,"my_agg")
1470    or at runtime via the option
1471 $     -mat_coarsen_type my_agg
1472 
1473    $PETSC_ARCH occuring in pathname will be replaced with appropriate values.
1474 
1475 .keywords: matrix, coarsen, register
1476 
1477 .seealso: MatCoarsenRegisterDestroy(), MatCoarsenRegisterAll()
1478 M*/
1479 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
1480 #define MatCoarsenRegisterDynamic(a,b,c,d) MatCoarsenRegister(a,b,c,0)
1481 #else
1482 #define MatCoarsenRegisterDynamic(a,b,c,d) MatCoarsenRegister(a,b,c,d)
1483 #endif
1484 
1485 PETSC_EXTERN PetscBool MatCoarsenRegisterAllCalled;
1486 
1487 PETSC_EXTERN PetscErrorCode MatCoarsenRegisterAll(const char[]);
1488 PETSC_EXTERN PetscErrorCode MatCoarsenRegisterDestroy(void);
1489 
1490 PETSC_EXTERN PetscErrorCode MatCoarsenView(MatCoarsen,PetscViewer);
1491 PETSC_EXTERN PetscErrorCode MatCoarsenSetFromOptions(MatCoarsen);
1492 PETSC_EXTERN PetscErrorCode MatCoarsenGetType(MatCoarsen,MatCoarsenType*);
1493 
1494 
1495 PETSC_EXTERN PetscErrorCode MatMeshToVertexGraph(Mat,PetscInt,Mat*);
1496 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat,PetscInt,Mat*);
1497 
1498 /*
1499     If you add entries here you must also add them to finclude/petscmat.h
1500 */
1501 typedef enum { MATOP_SET_VALUES=0,
1502                MATOP_GET_ROW=1,
1503                MATOP_RESTORE_ROW=2,
1504                MATOP_MULT=3,
1505                MATOP_MULT_ADD=4,
1506                MATOP_MULT_TRANSPOSE=5,
1507                MATOP_MULT_TRANSPOSE_ADD=6,
1508                MATOP_SOLVE=7,
1509                MATOP_SOLVE_ADD=8,
1510                MATOP_SOLVE_TRANSPOSE=9,
1511                MATOP_SOLVE_TRANSPOSE_ADD=10,
1512                MATOP_LUFACTOR=11,
1513                MATOP_CHOLESKYFACTOR=12,
1514                MATOP_SOR=13,
1515                MATOP_TRANSPOSE=14,
1516                MATOP_GETINFO=15,
1517                MATOP_EQUAL=16,
1518                MATOP_GET_DIAGONAL=17,
1519                MATOP_DIAGONAL_SCALE=18,
1520                MATOP_NORM=19,
1521                MATOP_ASSEMBLY_BEGIN=20,
1522                MATOP_ASSEMBLY_END=21,
1523                MATOP_SET_OPTION=22,
1524                MATOP_ZERO_ENTRIES=23,
1525                MATOP_ZERO_ROWS=24,
1526                MATOP_LUFACTOR_SYMBOLIC=25,
1527                MATOP_LUFACTOR_NUMERIC=26,
1528                MATOP_CHOLESKY_FACTOR_SYMBOLIC=27,
1529                MATOP_CHOLESKY_FACTOR_NUMERIC=28,
1530                MATOP_SETUP_PREALLOCATION=29,
1531                MATOP_ILUFACTOR_SYMBOLIC=30,
1532                MATOP_ICCFACTOR_SYMBOLIC=31,
1533                MATOP_GET_ARRAY=32,
1534                MATOP_RESTORE_ARRAY=33,
1535                MATOP_DUPLICATE=34,
1536                MATOP_FORWARD_SOLVE=35,
1537                MATOP_BACKWARD_SOLVE=36,
1538                MATOP_ILUFACTOR=37,
1539                MATOP_ICCFACTOR=38,
1540                MATOP_AXPY=39,
1541                MATOP_GET_SUBMATRICES=40,
1542                MATOP_INCREASE_OVERLAP=41,
1543                MATOP_GET_VALUES=42,
1544                MATOP_COPY=43,
1545                MATOP_GET_ROW_MAX=44,
1546                MATOP_SCALE=45,
1547                MATOP_SHIFT=46,
1548                MATOP_DIAGONAL_SET=47,
1549                MATOP_ILUDT_FACTOR=48,
1550                MATOP_SET_BLOCK_SIZE=49,
1551                MATOP_GET_ROW_IJ=50,
1552                MATOP_RESTORE_ROW_IJ=51,
1553                MATOP_GET_COLUMN_IJ=52,
1554                MATOP_RESTORE_COLUMN_IJ=53,
1555                MATOP_FDCOLORING_CREATE=54,
1556                MATOP_COLORING_PATCH=55,
1557                MATOP_SET_UNFACTORED=56,
1558                MATOP_PERMUTE=57,
1559                MATOP_SET_VALUES_BLOCKED=58,
1560                MATOP_GET_SUBMATRIX=59,
1561                MATOP_DESTROY=60,
1562                MATOP_VIEW=61,
1563                MATOP_CONVERT_FROM=62,
1564                MATOP_MATMAT_MULT=63,
1565                MATOP_MATMAT_MULT_SYMBOLIC=64,
1566                MATOP_MATMAT_MULT_NUMERIC=65,
1567                MATOP_SET_LOCAL_TO_GLOBAL_MAP=66,
1568                MATOP_SET_VALUES_LOCAL=67,
1569                MATOP_ZERO_ROWS_LOCAL=68,
1570                MATOP_GET_ROW_MAX_ABS=69,
1571                MATOP_GET_ROW_MIN_ABS=70,
1572                MATOP_CONVERT=71,
1573                MATOP_SET_COLORING=72,
1574                MATOP_PLACEHOLDER=73,
1575                MATOP_SET_VALUES_ADIFOR=74,
1576                MATOP_FD_COLORING_APPLY=75,
1577                MATOP_SET_FROM_OPTIONS=76,
1578                MATOP_MULT_CONSTRAINED=77,
1579                MATOP_MULT_TRANSPOSE_CONSTRAIN=78,
1580                MATOP_PERMUTE_SPARSIFY=79,
1581                MATOP_MULT_MULTIPLE=80,
1582                MATOP_SOLVE_MULTIPLE=81,
1583                MATOP_GET_INERTIA=82,
1584                MATOP_LOAD=83,
1585                MATOP_IS_SYMMETRIC=84,
1586                MATOP_IS_HERMITIAN=85,
1587                MATOP_IS_STRUCTURALLY_SYMMETRIC=86,
1588                MATOP_SET_VALUES_BLOCKEDLOCAL=87,
1589                MATOP_GET_VECS=88,
1590                MATOP_MAT_MULT=89,
1591                MATOP_MAT_MULT_SYMBOLIC=90,
1592                MATOP_MAT_MULT_NUMERIC=91,
1593                MATOP_PTAP=92,
1594                MATOP_PTAP_SYMBOLIC=93,
1595                MATOP_PTAP_NUMERIC=94,
1596                MATOP_MAT_TRANSPOSE_MULT=95,
1597                MATOP_MAT_TRANSPOSE_MULT_SYMBO=96,
1598                MATOP_MAT_TRANSPOSE_MULT_NUMER=97,
1599                MATOP_DUMMY98=98,
1600                MATOP_DUMMY99=99,
1601                MATOP_DUMMY100=100,
1602                MATOP_DUMMY101=101,
1603                MATOP_CONJUGATE=102,
1604                MATOP_SET_SIZES=103,
1605                MATOP_SET_VALUES_ROW=104,
1606                MATOP_REAL_PART=105,
1607                MATOP_IMAGINARY_PART=106,
1608                MATOP_GET_ROW_UPPER_TRIANGULAR=107,
1609                MATOP_RESTORE_ROW_UPPER_TRIANG=108,
1610                MATOP_MAT_SOLVE=109,
1611                MATOP_GET_REDUNDANT_MATRIX=110,
1612                MATOP_GET_ROW_MIN=111,
1613                MATOP_GET_COLUMN_VECTOR=112,
1614                MATOP_MISSING_DIAGONAL=113,
1615                MATOP_GET_SEQ_NONZERO_STRUCTUR=114,
1616                MATOP_CREATE=115,
1617                MATOP_GET_GHOSTS=116,
1618                MATOP_GET_LOCAL_SUB_MATRIX=117,
1619                MATOP_RESTORE_LOCALSUB_MATRIX=118,
1620                MATOP_MULT_DIAGONAL_BLOCK=119,
1621                MATOP_HERMITIAN_TRANSPOSE=120,
1622                MATOP_MULT_HERMITIAN_TRANSPOSE=121,
1623                MATOP_MULT_HERMITIAN_TRANS_ADD=122,
1624                MATOP_GET_MULTI_PROC_BLOCK=123,
1625                MATOP_GET_COLUMN_NORMS=125,
1626                MATOP_GET_SUB_MATRICES_PARALLE=128,
1627                MATOP_SET_VALUES_BATCH=129,
1628                MATOP_TRANSPOSE_MAT_MULT=130,
1629                MATOP_TRANSPOSE_MAT_MULT_SYMBO=131,
1630                MATOP_TRANSPOSE_MAT_MULT_NUMER=132,
1631                MATOP_TRANSPOSE_COLORING_CREAT=133,
1632                MATOP_TRANS_COLORING_APPLY_SPT=134,
1633                MATOP_TRANS_COLORING_APPLY_DEN=135,
1634                MATOP_RART=136,
1635                MATOP_RART_SYMBOLIC=137,
1636                MATOP_RART_NUMERIC=138,
1637                MATOP_SET_BLOCK_SIZES=139,
1638                MATOP_AYPX=140
1639              } MatOperation;
1640 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat,MatOperation,PetscBool *);
1641 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat,MatOperation,void(*)(void));
1642 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat,MatOperation,void(**)(void));
1643 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat,void*);
1644 
1645 /*
1646    Codes for matrices stored on disk. By default they are
1647    stored in a universal format. By changing the format with
1648    PetscViewerSetFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
1649    be stored in a way natural for the matrix, for example dense matrices
1650    would be stored as dense. Matrices stored this way may only be
1651    read into matrices of the same type.
1652 */
1653 #define MATRIX_BINARY_FORMAT_DENSE -1
1654 
1655 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1656 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat,Mat*);
1657 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat,Mat);
1658 
1659 /*S
1660      MatNullSpace - Object that removes a null space from a vector, i.e.
1661          orthogonalizes the vector to a subsapce
1662 
1663    Level: advanced
1664 
1665   Concepts: matrix; linear operator, null space
1666 
1667   Users manual sections:
1668 .   sec_singular
1669 
1670 .seealso:  MatNullSpaceCreate()
1671 S*/
1672 typedef struct _p_MatNullSpace* MatNullSpace;
1673 
1674 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm,PetscBool ,PetscInt,const Vec[],MatNullSpace*);
1675 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace,PetscErrorCode (*)(MatNullSpace,Vec,void*),void*);
1676 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace*);
1677 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace,Vec,Vec*);
1678 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
1679 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat,MatNullSpace);
1680 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat,MatNullSpace);
1681 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat,MatNullSpace*);
1682 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace,Mat,PetscBool  *);
1683 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace,PetscViewer);
1684 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace,PetscBool*,PetscInt*,const Vec**);
1685 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec,MatNullSpace*);
1686 
1687 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat,IS);
1688 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1689 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat,PetscInt *);
1690 PETSC_EXTERN PetscErrorCode MatSeqBAIJInvertBlockDiagonal(Mat);
1691 
1692 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat,PetscInt,Mat*);
1693 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat,PetscInt,Mat*);
1694 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat,Mat*);
1695 
1696 PETSC_EXTERN PetscErrorCode MatComputeExplicitOperator(Mat,Mat*);
1697 
1698 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat,Vec);
1699 
1700 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
1701 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat,Vec,Vec);
1702 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat,PetscErrorCode(*)(void*,Vec,Vec),void*);
1703 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat,PetscErrorCode (*)(void*,PetscInt,Vec,PetscScalar*));
1704 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat,PetscErrorCode (*)(void*,Vec));
1705 PETSC_EXTERN PetscErrorCode MatMFFDAddNullSpace(Mat,MatNullSpace);
1706 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat,PetscScalar[],PetscInt);
1707 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
1708 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat,PetscReal);
1709 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat,PetscInt);
1710 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat,PetscScalar *);
1711 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat,const char[]);
1712 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void*,Vec,Vec,PetscScalar*);
1713 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat,PetscErrorCode (*)(void*,Vec,Vec,PetscScalar*),void*);
1714 
1715 /*S
1716     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
1717               Jacobian vector products
1718 
1719     Notes: MATMFFD is a specific MatType which uses the MatMFFD data structure
1720 
1721            MatMFFD*() methods actually take the Mat as their first argument. Not a MatMFFD data structure
1722 
1723     Level: developer
1724 
1725 .seealso: MATMFFD, MatCreateMFFD(), MatMFFDSetFuction(), MatMFFDSetType(), MatMFFDRegister()
1726 S*/
1727 typedef struct _p_MatMFFD* MatMFFD;
1728 
1729 /*J
1730     MatMFFDType - algorithm used to compute the h used in computing matrix-vector products via differencing of the function
1731 
1732    Level: beginner
1733 
1734 .seealso: MatMFFDSetType(), MatMFFDRegister()
1735 J*/
1736 typedef const char* MatMFFDType;
1737 #define MATMFFD_DS  "ds"
1738 #define MATMFFD_WP  "wp"
1739 
1740 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat,MatMFFDType);
1741 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[],const char[],const char[],PetscErrorCode (*)(MatMFFD));
1742 
1743 /*MC
1744    MatMFFDRegisterDynamic - Adds a method to the MatMFFD registry.
1745 
1746    Synopsis:
1747    #include "petscmat.h"
1748    PetscErrorCode MatMFFDRegisterDynamic(const char *name_solver,const char *path,const char *name_create,PetscErrorCode (*routine_create)(MatMFFD))
1749 
1750    Not Collective
1751 
1752    Input Parameters:
1753 +  name_solver - name of a new user-defined compute-h module
1754 .  path - path (either absolute or relative) the library containing this solver
1755 .  name_create - name of routine to create method context
1756 -  routine_create - routine to create method context
1757 
1758    Level: developer
1759 
1760    Notes:
1761    MatMFFDRegisterDynamic() may be called multiple times to add several user-defined solvers.
1762 
1763    If dynamic libraries are used, then the fourth input argument (routine_create)
1764    is ignored.
1765 
1766    Sample usage:
1767 .vb
1768    MatMFFDRegisterDynamic("my_h",/home/username/my_lib/lib/libO/solaris/mylib.a,
1769                "MyHCreate",MyHCreate);
1770 .ve
1771 
1772    Then, your solver can be chosen with the procedural interface via
1773 $     MatMFFDSetType(mfctx,"my_h")
1774    or at runtime via the option
1775 $     -snes_mf_type my_h
1776 
1777 .keywords: MatMFFD, register
1778 
1779 .seealso: MatMFFDRegisterAll(), MatMFFDRegisterDestroy()
1780 M*/
1781 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
1782 #define MatMFFDRegisterDynamic(a,b,c,d) MatMFFDRegister(a,b,c,0)
1783 #else
1784 #define MatMFFDRegisterDynamic(a,b,c,d) MatMFFDRegister(a,b,c,d)
1785 #endif
1786 
1787 PETSC_EXTERN PetscErrorCode MatMFFDRegisterAll(const char[]);
1788 PETSC_EXTERN PetscErrorCode MatMFFDRegisterDestroy(void);
1789 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat,PetscReal);
1790 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat,PetscBool );
1791 
1792 
1793 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
1794 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
1795 
1796 /*
1797    PETSc interface to MUMPS
1798 */
1799 #ifdef PETSC_HAVE_MUMPS
1800 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat,PetscInt,PetscInt);
1801 #endif
1802 
1803 /*
1804    PETSc interface to SUPERLU
1805 */
1806 #ifdef PETSC_HAVE_SUPERLU
1807 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat,PetscReal);
1808 #endif
1809 
1810 #if defined PETSC_HAVE_TXPETSCGPU
1811 
1812 /*E
1813     MatCUSPARSEStorageFormat - indicates the storage format for CUSPARSE (GPU)
1814     matrices. Requires the txpetscgpu package to use. Configure with
1815     --download-txpetscgpu to build/install petsc with the txpetscgpu library.
1816 
1817     Not Collective
1818 
1819 +   MAT_CUSPARSE_CSR - Compressed Sparse Row
1820 .   MAT_CUSPARSE_ELL - Ellpack
1821 -   MAT_CUSPARSE_HYB - Hybrid, a combination of Ellpack and Coordinate format.
1822 
1823     Level: intermediate
1824 
1825    Any additions/changes here MUST also be made in include/finclude/petscmat.h
1826 
1827 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEFormatOperation
1828 E*/
1829 
1830 typedef enum {MAT_CUSPARSE_CSR, MAT_CUSPARSE_ELL, MAT_CUSPARSE_HYB} MatCUSPARSEStorageFormat;
1831 
1832 /* these will be strings associated with enumerated type defined above */
1833 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
1834 
1835 /*E
1836     MatCUSPARSEFormatOperation - indicates the operation of CUSPARSE (GPU)
1837     matrices whose operation should use a particular storage format. Requires
1838     the txpetscgpu package to use. Configure with --download-txpetscgpu to
1839     build/install petsc with the txpetscgpu library.
1840 
1841     Not Collective
1842 
1843 +   MAT_CUSPARSE_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1844 .   MAT_CUSPARSE_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1845 .   MAT_CUSPARSE_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1846 .   MAT_CUSPARSE_SOLVE - sets the storage format for the triangular factors in the serial (single GPU) MatSolve
1847 -   MAT_CUSPARSE_ALL - sets the storage format for all CUSPARSE (GPU) matrices
1848 
1849     Level: intermediate
1850 
1851 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEStorageFormat
1852 E*/
1853 typedef enum {MAT_CUSPARSE_MULT_DIAG, MAT_CUSPARSE_MULT_OFFDIAG, MAT_CUSPARSE_MULT, MAT_CUSPARSE_SOLVE, MAT_CUSPARSE_ALL} MatCUSPARSEFormatOperation;
1854 
1855 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1856 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1857 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat,MatCUSPARSEFormatOperation,MatCUSPARSEStorageFormat);
1858 
1859 #endif
1860 
1861 #if defined(PETSC_HAVE_CUSP)
1862 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1863 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1864 
1865 /*E
1866     MatCUSPStorageFormat - indicates the storage format for CUSP (GPU)
1867     matrices. Requires the txpetscgpu package to use. Configure with
1868     --download-txpetscgpu to build/install petsc with the txpetscgpu library.
1869 
1870     Not Collective
1871 
1872 +   MAT_CUSP_CSR - Compressed Sparse Row
1873 .   MAT_CUSP_DIA - Diagonal
1874 -   MAT_CUSP_ELL - Ellpack
1875 
1876     Level: intermediate
1877 
1878    Any additions/changes here MUST also be made in include/finclude/petscmat.h
1879 
1880 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1881 E*/
1882 typedef enum {MAT_CUSP_CSR, MAT_CUSP_DIA, MAT_CUSP_ELL} MatCUSPStorageFormat;
1883 
1884 /* these will be strings associated with enumerated type defined above */
1885 PETSC_EXTERN const char *const MatCUSPStorageFormats[];
1886 
1887 /*E
1888     MatCUSPFormatOperation - indicates the operation of CUSP (GPU)
1889     matrices whose operation should use a particular storage format. Requires
1890     the txpetscgpu package to use. Configure with --download-txpetscgpu to
1891     build/install petsc with the txpetscgpu library.
1892 
1893     Not Collective
1894 
1895 +   MAT_CUSP_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1896 .   MAT_CUSP_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1897 .   MAT_CUSP_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1898 .   MAT_CUSP_SOLVE - sets the storage format for the triangular factors in the serial (single GPU) MatSolve
1899 -   MAT_CUSP_ALL - sets the storage format for all CUSP (GPU) matrices
1900 
1901     Level: intermediate
1902 
1903    Any additions/changes here MUST also be made in include/finclude/petscmat.h
1904 
1905 .seealso: MatCUSPSetFormat(), MatCUSPStorageFormat
1906 E*/
1907 typedef enum {MAT_CUSP_MULT_DIAG, MAT_CUSP_MULT_OFFDIAG, MAT_CUSP_MULT, MAT_CUSP_SOLVE, MAT_CUSP_ALL} MatCUSPFormatOperation;
1908 
1909 PETSC_EXTERN PetscErrorCode MatCUSPSetFormat(Mat,MatCUSPFormatOperation,MatCUSPStorageFormat);
1910 #endif
1911 
1912 /*
1913    PETSc interface to FFTW
1914 */
1915 #if defined(PETSC_HAVE_FFTW)
1916 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat,Vec,Vec);
1917 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat,Vec,Vec);
1918 PETSC_EXTERN PetscErrorCode MatGetVecsFFTW(Mat,Vec*,Vec*,Vec*);
1919 #endif
1920 
1921 #if defined(PETSC_HAVE_ELEMENTAL)
1922 PETSC_EXTERN PetscErrorCode PetscElementalInitializePackage(const char*);
1923 PETSC_EXTERN PetscErrorCode PetscElementalFinalizePackage(void);
1924 #endif
1925 
1926 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm,PetscInt,const IS[],PetscInt,const IS[],const Mat[],Mat*);
1927 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat,PetscInt*,PetscInt*);
1928 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat,IS[],IS[]);
1929 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat,IS[],IS[]);
1930 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat,PetscInt*,PetscInt*,Mat***);
1931 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat,PetscInt,PetscInt,Mat*);
1932 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat,VecType);
1933 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat,PetscInt,const IS[],PetscInt,const IS[],const Mat[]);
1934 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat,PetscInt,PetscInt,Mat);
1935 
1936 /*
1937  MatIJ:
1938  An unweighted directed pseudograph
1939  An interpretation of this matrix as a (pseudo)graph allows us to define additional operations on it:
1940  A MatIJ can act on sparse arrays: arrays of indices, or index arrays of integers, scalars, or integer-scalar pairs
1941  by mapping the indices to the indices connected to them by the (pseudo)graph ed
1942  */
1943 typedef enum {MATIJ_LOCAL, MATIJ_GLOBAL} MatIJIndexType;
1944 PETSC_EXTERN PetscErrorCode MatIJSetMultivalued(Mat, PetscBool);
1945 PETSC_EXTERN PetscErrorCode MatIJGetMultivalued(Mat, PetscBool*);
1946 PETSC_EXTERN PetscErrorCode MatIJSetEdges(Mat, PetscInt, const PetscInt*, const PetscInt*);
1947 PETSC_EXTERN PetscErrorCode MatIJGetEdges(Mat, PetscInt *, PetscInt **, PetscInt **);
1948 PETSC_EXTERN PetscErrorCode MatIJSetEdgesIS(Mat, IS, IS);
1949 PETSC_EXTERN PetscErrorCode MatIJGetEdgesIS(Mat, IS*, IS*);
1950 PETSC_EXTERN PetscErrorCode MatIJGetRowSizes(Mat, MatIJIndexType, PetscInt, const PetscInt *, PetscInt **);
1951 PETSC_EXTERN PetscErrorCode MatIJGetMinRowSize(Mat, PetscInt *);
1952 PETSC_EXTERN PetscErrorCode MatIJGetMaxRowSize(Mat, PetscInt *);
1953 PETSC_EXTERN PetscErrorCode MatIJGetSupport(Mat,  PetscInt *, PetscInt **);
1954 PETSC_EXTERN PetscErrorCode MatIJGetSupportIS(Mat, IS *);
1955 PETSC_EXTERN PetscErrorCode MatIJGetImage(Mat, PetscInt*, PetscInt**);
1956 PETSC_EXTERN PetscErrorCode MatIJGetImageIS(Mat, IS *);
1957 PETSC_EXTERN PetscErrorCode MatIJGetSupportSize(Mat, PetscInt *);
1958 PETSC_EXTERN PetscErrorCode MatIJGetImageSize(Mat, PetscInt *);
1959 
1960 PETSC_EXTERN PetscErrorCode MatIJBinRenumber(Mat, Mat*);
1961 
1962 PETSC_EXTERN PetscErrorCode MatIJMap(Mat, MatIJIndexType, PetscInt,const PetscInt*,const PetscInt*,const PetscScalar*, MatIJIndexType,PetscInt*,PetscInt**,PetscInt**,PetscScalar**,PetscInt**);
1963 PETSC_EXTERN PetscErrorCode MatIJBin(Mat, MatIJIndexType, PetscInt,const PetscInt*,const PetscInt*,const PetscScalar*,PetscInt*,PetscInt**,PetscInt**,PetscScalar**,PetscInt**);
1964 PETSC_EXTERN PetscErrorCode MatIJBinMap(Mat,Mat, MatIJIndexType,PetscInt,const PetscInt*,const PetscInt*,const PetscScalar*,MatIJIndexType,PetscInt*,PetscInt**,PetscInt**,PetscScalar**,PetscInt**);
1965 
1966 PETSC_EXTERN PetscErrorCode MatChop(Mat,PetscReal);
1967 
1968 #endif
1969