xref: /petsc/include/petscmat.h (revision a790c00499656cdc34e95ec8f15f35cf5f4cdcbb)
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 #define MatType char*
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 MATAIJPERM         "aijperm"
46 #define MATSEQAIJPERM      "seqaijperm"
47 #define MATMPIAIJPERM      "mpiaijperm"
48 #define MATSHELL           "shell"
49 #define MATDENSE           "dense"
50 #define MATSEQDENSE        "seqdense"
51 #define MATMPIDENSE        "mpidense"
52 #define MATBAIJ            "baij"
53 #define MATSEQBAIJ         "seqbaij"
54 #define MATMPIBAIJ         "mpibaij"
55 #define MATMPIADJ          "mpiadj"
56 #define MATSBAIJ           "sbaij"
57 #define MATSEQSBAIJ        "seqsbaij"
58 #define MATMPISBAIJ        "mpisbaij"
59 #define MATSEQBSTRM        "seqbstrm"
60 #define MATMPIBSTRM        "mpibstrm"
61 #define MATBSTRM           "bstrm"
62 #define MATSEQSBSTRM       "seqsbstrm"
63 #define MATMPISBSTRM       "mpisbstrm"
64 #define MATSBSTRM          "sbstrm"
65 #define MATDAAD            "daad"
66 #define MATMFFD            "mffd"
67 #define MATNORMAL          "normal"
68 #define MATLRC             "lrc"
69 #define MATSCATTER         "scatter"
70 #define MATBLOCKMAT        "blockmat"
71 #define MATCOMPOSITE       "composite"
72 #define MATFFT             "fft"
73 #define MATFFTW            "fftw"
74 #define MATSEQCUFFT        "seqcufft"
75 #define MATTRANSPOSEMAT    "transpose"
76 #define MATSCHURCOMPLEMENT "schurcomplement"
77 #define MATPYTHON          "python"
78 #define MATHYPRESTRUCT     "hyprestruct"
79 #define MATHYPRESSTRUCT    "hypresstruct"
80 #define MATSUBMATRIX       "submatrix"
81 #define MATLOCALREF        "localref"
82 #define MATNEST            "nest"
83 #define MATIJ              "ij"
84 
85 /*J
86     MatSolverPackage - String with the name of a PETSc matrix solver type.
87 
88     For example: "petsc" indicates what PETSc provides, "superlu" indicates either
89        SuperLU or SuperLU_Dist etc.
90 
91 
92    Level: beginner
93 
94 .seealso: MatGetFactor(), Mat, MatSetType(), MatType
95 J*/
96 #define MatSolverPackage char*
97 #define MATSOLVERSPOOLES      "spooles"
98 #define MATSOLVERSUPERLU      "superlu"
99 #define MATSOLVERSUPERLU_DIST "superlu_dist"
100 #define MATSOLVERUMFPACK      "umfpack"
101 #define MATSOLVERCHOLMOD      "cholmod"
102 #define MATSOLVERESSL         "essl"
103 #define MATSOLVERLUSOL        "lusol"
104 #define MATSOLVERMUMPS        "mumps"
105 #define MATSOLVERPASTIX       "pastix"
106 #define MATSOLVERMATLAB       "matlab"
107 #define MATSOLVERPETSC        "petsc"
108 #define MATSOLVERPLAPACK      "plapack"
109 #define MATSOLVERBAS          "bas"
110 
111 #define MATSOLVERBSTRM        "bstrm"
112 #define MATSOLVERSBSTRM       "sbstrm"
113 
114 /*E
115     MatFactorType - indicates what type of factorization is requested
116 
117     Level: beginner
118 
119    Any additions/changes here MUST also be made in include/finclude/petscmat.h
120 
121 .seealso: MatSolverPackage, MatGetFactor()
122 E*/
123 typedef enum {MAT_FACTOR_NONE, MAT_FACTOR_LU, MAT_FACTOR_CHOLESKY, MAT_FACTOR_ILU, MAT_FACTOR_ICC,MAT_FACTOR_ILUDT} MatFactorType;
124 PETSC_EXTERN const char *const MatFactorTypes[];
125 
126 PETSC_EXTERN PetscErrorCode MatGetFactor(Mat,const MatSolverPackage,MatFactorType,Mat*);
127 PETSC_EXTERN PetscErrorCode MatGetFactorAvailable(Mat,const MatSolverPackage,MatFactorType,PetscBool *);
128 PETSC_EXTERN PetscErrorCode MatFactorGetSolverPackage(Mat,const MatSolverPackage*);
129 PETSC_EXTERN PetscErrorCode MatGetFactorType(Mat,MatFactorType*);
130 
131 /* Logging support */
132 #define    MAT_FILE_CLASSID 1211216    /* used to indicate matrices in binary files */
133 PETSC_EXTERN PetscClassId MAT_CLASSID;
134 PETSC_EXTERN PetscClassId MAT_FDCOLORING_CLASSID;
135 PETSC_EXTERN PetscClassId MAT_TRANSPOSECOLORING_CLASSID;
136 PETSC_EXTERN PetscClassId MAT_PARTITIONING_CLASSID;
137 PETSC_EXTERN PetscClassId MAT_COARSEN_CLASSID;
138 PETSC_EXTERN PetscClassId MAT_NULLSPACE_CLASSID;
139 PETSC_EXTERN PetscClassId MATMFFD_CLASSID;
140 
141 /*E
142     MatReuse - Indicates if matrices obtained from a previous call to MatGetSubMatrices()
143      or MatGetSubMatrix() are to be reused to store the new matrix values. For MatConvert() is used to indicate
144      that the input matrix is to be replaced with the converted matrix.
145 
146     Level: beginner
147 
148    Any additions/changes here MUST also be made in include/finclude/petscmat.h
149 
150 .seealso: MatGetSubMatrices(), MatGetSubMatrix(), MatDestroyMatrices(), MatConvert()
151 E*/
152 typedef enum {MAT_INITIAL_MATRIX,MAT_REUSE_MATRIX,MAT_IGNORE_MATRIX} MatReuse;
153 
154 /*E
155     MatGetSubMatrixOption - Indicates if matrices obtained from a call to MatGetSubMatrices()
156      include the matrix values. Currently it is only used by MatGetSeqNonzerostructure().
157 
158     Level: beginner
159 
160 .seealso: MatGetSeqNonzerostructure()
161 E*/
162 typedef enum {MAT_DO_NOT_GET_VALUES,MAT_GET_VALUES} MatGetSubMatrixOption;
163 
164 PETSC_EXTERN PetscErrorCode MatInitializePackage(const char[]);
165 
166 PETSC_EXTERN PetscErrorCode MatCreate(MPI_Comm,Mat*);
167 PETSC_EXTERN PetscErrorCode MatSetSizes(Mat,PetscInt,PetscInt,PetscInt,PetscInt);
168 PETSC_EXTERN PetscErrorCode MatSetType(Mat,const MatType);
169 PETSC_EXTERN PetscErrorCode MatSetFromOptions(Mat);
170 PETSC_EXTERN PetscErrorCode MatRegisterAll(const char[]);
171 PETSC_EXTERN PetscErrorCode MatRegister(const char[],const char[],const char[],PetscErrorCode(*)(Mat));
172 PETSC_EXTERN PetscErrorCode MatRegisterBaseName(const char[],const char[],const char[]);
173 PETSC_EXTERN PetscErrorCode MatSetOptionsPrefix(Mat,const char[]);
174 PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefix(Mat,const char[]);
175 PETSC_EXTERN PetscErrorCode MatGetOptionsPrefix(Mat,const char*[]);
176 
177 /*MC
178    MatRegisterDynamic - Adds a new matrix type
179 
180    Synopsis:
181    PetscErrorCode MatRegisterDynamic(const char *name,const char *path,const char *name_create,PetscErrorCode (*routine_create)(Mat))
182 
183    Not Collective
184 
185    Input Parameters:
186 +  name - name of a new user-defined matrix type
187 .  path - path (either absolute or relative) the library containing this solver
188 .  name_create - name of routine to create method context
189 -  routine_create - routine to create method context
190 
191    Notes:
192    MatRegisterDynamic() may be called multiple times to add several user-defined solvers.
193 
194    If dynamic libraries are used, then the fourth input argument (routine_create)
195    is ignored.
196 
197    Sample usage:
198 .vb
199    MatRegisterDynamic("my_mat",/home/username/my_lib/lib/libO/solaris/mylib.a,
200                "MyMatCreate",MyMatCreate);
201 .ve
202 
203    Then, your solver can be chosen with the procedural interface via
204 $     MatSetType(Mat,"my_mat")
205    or at runtime via the option
206 $     -mat_type my_mat
207 
208    Level: advanced
209 
210    Notes: ${PETSC_ARCH} occuring in pathname will be replaced with appropriate values.
211          If your function is not being put into a shared library then use VecRegister() instead
212 
213 .keywords: Mat, register
214 
215 .seealso: MatRegisterAll(), MatRegisterDestroy()
216 
217 M*/
218 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
219 #define MatRegisterDynamic(a,b,c,d) MatRegister(a,b,c,0)
220 #else
221 #define MatRegisterDynamic(a,b,c,d) MatRegister(a,b,c,d)
222 #endif
223 
224 PETSC_EXTERN PetscBool MatRegisterAllCalled;
225 PETSC_EXTERN PetscFList MatList;
226 PETSC_EXTERN PetscFList MatColoringList;
227 PETSC_EXTERN PetscFList MatPartitioningList;
228 PETSC_EXTERN PetscFList MatCoarsenList;
229 
230 /*E
231     MatStructure - Indicates if the matrix has the same nonzero structure
232 
233     Level: beginner
234 
235    Any additions/changes here MUST also be made in include/finclude/petscmat.h
236 
237 .seealso: MatCopy(), KSPSetOperators(), PCSetOperators()
238 E*/
239 typedef enum {DIFFERENT_NONZERO_PATTERN,SUBSET_NONZERO_PATTERN,SAME_NONZERO_PATTERN,SAME_PRECONDITIONER} MatStructure;
240 
241 PETSC_EXTERN PetscErrorCode MatCreateSeqDense(MPI_Comm,PetscInt,PetscInt,PetscScalar[],Mat*);
242 PETSC_EXTERN PetscErrorCode MatCreateDense(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar[],Mat*);
243 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
244 PETSC_EXTERN PetscErrorCode MatCreateAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
245 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
246 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSplitArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],PetscInt[],PetscInt[],PetscScalar[],Mat*);
247 
248 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
249 PETSC_EXTERN PetscErrorCode MatCreateBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
250 PETSC_EXTERN PetscErrorCode MatCreateMPIBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat*);
251 
252 PETSC_EXTERN PetscErrorCode MatCreateMPIAdj(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscInt[],Mat*);
253 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
254 
255 PETSC_EXTERN PetscErrorCode MatCreateSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
256 PETSC_EXTERN PetscErrorCode MatCreateMPISBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
257 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
258 PETSC_EXTERN PetscErrorCode MatXAIJSetPreallocation(Mat,PetscInt,const PetscInt*,const PetscInt*,const PetscInt*,const PetscInt*);
259 
260 PETSC_EXTERN PetscErrorCode MatCreateShell(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,void *,Mat*);
261 PETSC_EXTERN PetscErrorCode MatCreateAdic(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,void (*)(void),Mat*);
262 PETSC_EXTERN PetscErrorCode MatCreateNormal(Mat,Mat*);
263 PETSC_EXTERN PetscErrorCode MatCreateLRC(Mat,Mat,Mat,Mat*);
264 PETSC_EXTERN PetscErrorCode MatCreateIS(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,ISLocalToGlobalMapping,Mat*);
265 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
266 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
267 
268 PETSC_EXTERN PetscErrorCode MatCreateSeqBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
269 PETSC_EXTERN PetscErrorCode MatCreateMPIBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
270 PETSC_EXTERN PetscErrorCode MatCreateSeqSBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
271 PETSC_EXTERN PetscErrorCode MatCreateMPISBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
272 
273 PETSC_EXTERN PetscErrorCode MatCreateScatter(MPI_Comm,VecScatter,Mat*);
274 PETSC_EXTERN PetscErrorCode MatScatterSetVecScatter(Mat,VecScatter);
275 PETSC_EXTERN PetscErrorCode MatScatterGetVecScatter(Mat,VecScatter*);
276 PETSC_EXTERN PetscErrorCode MatCreateBlockMat(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt*,Mat*);
277 PETSC_EXTERN PetscErrorCode MatCompositeAddMat(Mat,Mat);
278 PETSC_EXTERN PetscErrorCode MatCompositeMerge(Mat);
279 PETSC_EXTERN PetscErrorCode MatCreateComposite(MPI_Comm,PetscInt,const Mat*,Mat*);
280 typedef enum {MAT_COMPOSITE_ADDITIVE,MAT_COMPOSITE_MULTIPLICATIVE} MatCompositeType;
281 PETSC_EXTERN PetscErrorCode MatCompositeSetType(Mat,MatCompositeType);
282 
283 PETSC_EXTERN PetscErrorCode MatCreateFFT(MPI_Comm,PetscInt,const PetscInt[],const MatType,Mat*);
284 PETSC_EXTERN PetscErrorCode MatCreateSeqCUFFT(MPI_Comm,PetscInt,const PetscInt[],Mat*);
285 
286 PETSC_EXTERN PetscErrorCode MatCreateTranspose(Mat,Mat*);
287 PETSC_EXTERN PetscErrorCode MatCreateSubMatrix(Mat,IS,IS,Mat*);
288 PETSC_EXTERN PetscErrorCode MatSubMatrixUpdate(Mat,Mat,IS,IS);
289 PETSC_EXTERN PetscErrorCode MatCreateLocalRef(Mat,IS,IS,Mat*);
290 
291 PETSC_EXTERN PetscErrorCode MatPythonSetType(Mat,const char[]);
292 
293 PETSC_EXTERN PetscErrorCode MatSetUp(Mat);
294 PETSC_EXTERN PetscErrorCode MatDestroy(Mat*);
295 
296 PETSC_EXTERN PetscErrorCode MatConjugate(Mat);
297 PETSC_EXTERN PetscErrorCode MatRealPart(Mat);
298 PETSC_EXTERN PetscErrorCode MatImaginaryPart(Mat);
299 PETSC_EXTERN PetscErrorCode MatGetDiagonalBlock(Mat,Mat*);
300 PETSC_EXTERN PetscErrorCode MatGetTrace(Mat,PetscScalar*);
301 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonal(Mat,PetscScalar **);
302 
303 /* ------------------------------------------------------------*/
304 PETSC_EXTERN PetscErrorCode MatSetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
305 PETSC_EXTERN PetscErrorCode MatSetValuesBlocked(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
306 PETSC_EXTERN PetscErrorCode MatSetValuesRow(Mat,PetscInt,const PetscScalar[]);
307 PETSC_EXTERN PetscErrorCode MatSetValuesRowLocal(Mat,PetscInt,const PetscScalar[]);
308 PETSC_EXTERN PetscErrorCode MatSetValuesBatch(Mat,PetscInt,PetscInt,PetscInt[],const PetscScalar[]);
309 
310 /*S
311      MatStencil - Data structure (C struct) for storing information about a single row or
312         column of a matrix as indexed on an associated grid.
313 
314    Fortran usage is different, see MatSetValuesStencil() for details.
315 
316    Level: beginner
317 
318   Concepts: matrix; linear operator
319 
320 .seealso:  MatSetValuesStencil(), MatSetStencil(), MatSetValuesBlockedStencil()
321 S*/
322 typedef struct {
323   PetscInt k,j,i,c;
324 } MatStencil;
325 
326 PETSC_EXTERN PetscErrorCode MatSetValuesStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
327 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
328 PETSC_EXTERN PetscErrorCode MatSetStencil(Mat,PetscInt,const PetscInt[],const PetscInt[],PetscInt);
329 
330 PETSC_EXTERN PetscErrorCode MatSetColoring(Mat,ISColoring);
331 PETSC_EXTERN PetscErrorCode MatSetValuesAdic(Mat,void*);
332 PETSC_EXTERN PetscErrorCode MatSetValuesAdifor(Mat,PetscInt,void*);
333 
334 /*E
335     MatAssemblyType - Indicates if the matrix is now to be used, or if you plan
336      to continue to add values to it
337 
338     Level: beginner
339 
340 .seealso: MatAssemblyBegin(), MatAssemblyEnd()
341 E*/
342 typedef enum {MAT_FLUSH_ASSEMBLY=1,MAT_FINAL_ASSEMBLY=0} MatAssemblyType;
343 PETSC_EXTERN PetscErrorCode MatAssemblyBegin(Mat,MatAssemblyType);
344 PETSC_EXTERN PetscErrorCode MatAssemblyEnd(Mat,MatAssemblyType);
345 PETSC_EXTERN PetscErrorCode MatAssembled(Mat,PetscBool *);
346 
347 
348 
349 /*E
350     MatOption - Options that may be set for a matrix and its behavior or storage
351 
352     Level: beginner
353 
354    Any additions/changes here MUST also be made in include/finclude/petscmat.h
355 
356 .seealso: MatSetOption()
357 E*/
358 typedef enum {MAT_ROW_ORIENTED,MAT_NEW_NONZERO_LOCATIONS,
359               MAT_SYMMETRIC,
360               MAT_STRUCTURALLY_SYMMETRIC,
361               MAT_NEW_DIAGONALS,MAT_IGNORE_OFF_PROC_ENTRIES,
362               MAT_NEW_NONZERO_LOCATION_ERR,
363               MAT_NEW_NONZERO_ALLOCATION_ERR,MAT_USE_HASH_TABLE,
364               MAT_KEEP_NONZERO_PATTERN,MAT_IGNORE_ZERO_ENTRIES,
365               MAT_USE_INODES,
366               MAT_HERMITIAN,
367               MAT_SYMMETRY_ETERNAL,
368               MAT_CHECK_COMPRESSED_ROW,
369               MAT_IGNORE_LOWER_TRIANGULAR,MAT_ERROR_LOWER_TRIANGULAR,
370               MAT_GETROW_UPPERTRIANGULAR,MAT_UNUSED_NONZERO_LOCATION_ERR,
371               MAT_SPD,MAT_NO_OFF_PROC_ENTRIES,MAT_NO_OFF_PROC_ZERO_ROWS,
372               NUM_MAT_OPTIONS} MatOption;
373 PETSC_EXTERN const char *MatOptions[];
374 PETSC_EXTERN PetscErrorCode MatSetOption(Mat,MatOption,PetscBool );
375 PETSC_EXTERN PetscErrorCode MatGetType(Mat,const MatType*);
376 
377 PETSC_EXTERN PetscErrorCode MatGetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar[]);
378 PETSC_EXTERN PetscErrorCode MatGetRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
379 PETSC_EXTERN PetscErrorCode MatRestoreRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
380 PETSC_EXTERN PetscErrorCode MatGetRowUpperTriangular(Mat);
381 PETSC_EXTERN PetscErrorCode MatRestoreRowUpperTriangular(Mat);
382 PETSC_EXTERN PetscErrorCode MatGetColumn(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
383 PETSC_EXTERN PetscErrorCode MatRestoreColumn(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
384 PETSC_EXTERN PetscErrorCode MatGetColumnVector(Mat,Vec,PetscInt);
385 PETSC_EXTERN PetscErrorCode MatGetArray(Mat,PetscScalar *[]);
386 PETSC_EXTERN PetscErrorCode MatRestoreArray(Mat,PetscScalar *[]);
387 PETSC_EXTERN PetscErrorCode MatGetBlockSize(Mat,PetscInt *);
388 PETSC_EXTERN PetscErrorCode MatSetBlockSize(Mat,PetscInt);
389 PETSC_EXTERN PetscErrorCode MatGetBlockSizes(Mat,PetscInt *,PetscInt *);
390 PETSC_EXTERN PetscErrorCode MatSetBlockSizes(Mat,PetscInt,PetscInt);
391 PETSC_EXTERN PetscErrorCode MatSetNThreads(Mat,PetscInt);
392 PETSC_EXTERN PetscErrorCode MatGetNThreads(Mat,PetscInt*);
393 
394 PETSC_EXTERN PetscErrorCode MatMult(Mat,Vec,Vec);
395 PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat,Vec,Vec);
396 PETSC_EXTERN PetscErrorCode MatMultAdd(Mat,Vec,Vec,Vec);
397 PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat,Vec,Vec);
398 PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat,Vec,Vec);
399 PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat,Mat,PetscReal,PetscBool *);
400 PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat,Mat,PetscReal,PetscBool *);
401 PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat,Vec,Vec,Vec);
402 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat,Vec,Vec,Vec);
403 PETSC_EXTERN PetscErrorCode MatMultConstrained(Mat,Vec,Vec);
404 PETSC_EXTERN PetscErrorCode MatMultTransposeConstrained(Mat,Vec,Vec);
405 PETSC_EXTERN PetscErrorCode MatMatSolve(Mat,Mat,Mat);
406 
407 /*E
408     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
409   its numerical values copied over or just its nonzero structure.
410 
411     Level: beginner
412 
413    Any additions/changes here MUST also be made in include/finclude/petscmat.h
414 
415 $   MAT_SHARE_NONZERO_PATTERN - the i and j arrays in the new matrix will be shared with the original matrix
416 $                               this also triggers the MAT_DO_NOT_COPY_VALUES option. This is used when you
417 $                               have several matrices with the same nonzero pattern.
418 
419 .seealso: MatDuplicate()
420 E*/
421 typedef enum {MAT_DO_NOT_COPY_VALUES,MAT_COPY_VALUES,MAT_SHARE_NONZERO_PATTERN} MatDuplicateOption;
422 
423 PETSC_EXTERN PetscErrorCode MatConvert(Mat,const MatType,MatReuse,Mat*);
424 PETSC_EXTERN PetscErrorCode MatDuplicate(Mat,MatDuplicateOption,Mat*);
425 
426 
427 PETSC_EXTERN PetscErrorCode MatCopy(Mat,Mat,MatStructure);
428 PETSC_EXTERN PetscErrorCode MatView(Mat,PetscViewer);
429 PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat,PetscReal,PetscBool *);
430 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat,PetscBool *);
431 PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat,PetscReal,PetscBool *);
432 PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat,PetscBool *,PetscBool *);
433 PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat,PetscBool *,PetscBool *);
434 PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat,PetscBool  *,PetscInt *);
435 PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);
436 
437 PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,PetscInt *[],PetscInt *[],PetscBool  *);
438 PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,PetscInt *[],PetscInt *[],PetscBool  *);
439 PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,PetscInt *[],PetscInt *[],PetscBool  *);
440 PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,PetscInt *[],PetscInt *[],PetscBool  *);
441 
442 /*S
443      MatInfo - Context of matrix information, used with MatGetInfo()
444 
445    In Fortran this is simply a double precision array of dimension MAT_INFO_SIZE
446 
447    Level: intermediate
448 
449   Concepts: matrix^nonzero information
450 
451 .seealso:  MatGetInfo(), MatInfoType
452 S*/
453 typedef struct {
454   PetscLogDouble block_size;                         /* block size */
455   PetscLogDouble nz_allocated,nz_used,nz_unneeded;   /* number of nonzeros */
456   PetscLogDouble memory;                             /* memory allocated */
457   PetscLogDouble assemblies;                         /* number of matrix assemblies called */
458   PetscLogDouble mallocs;                            /* number of mallocs during MatSetValues() */
459   PetscLogDouble fill_ratio_given,fill_ratio_needed; /* fill ratio for LU/ILU */
460   PetscLogDouble factor_mallocs;                     /* number of mallocs during factorization */
461 } MatInfo;
462 
463 /*E
464     MatInfoType - Indicates if you want information about the local part of the matrix,
465      the entire parallel matrix or the maximum over all the local parts.
466 
467     Level: beginner
468 
469    Any additions/changes here MUST also be made in include/finclude/petscmat.h
470 
471 .seealso: MatGetInfo(), MatInfo
472 E*/
473 typedef enum {MAT_LOCAL=1,MAT_GLOBAL_MAX=2,MAT_GLOBAL_SUM=3} MatInfoType;
474 PETSC_EXTERN PetscErrorCode MatGetInfo(Mat,MatInfoType,MatInfo*);
475 PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat,Vec);
476 PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat,Vec,PetscInt[]);
477 PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat,Vec,PetscInt[]);
478 PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat,Vec,PetscInt[]);
479 PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat,Vec,PetscInt[]);
480 PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat,Vec);
481 PETSC_EXTERN PetscErrorCode MatTranspose(Mat,MatReuse,Mat*);
482 PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat,MatReuse,Mat*);
483 PETSC_EXTERN PetscErrorCode MatPermute(Mat,IS,IS,Mat *);
484 PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat,Vec,Vec);
485 PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat,Vec,InsertMode);
486 PETSC_EXTERN PetscErrorCode MatEqual(Mat,Mat,PetscBool *);
487 PETSC_EXTERN PetscErrorCode MatMultEqual(Mat,Mat,PetscInt,PetscBool *);
488 PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat,Mat,PetscInt,PetscBool *);
489 PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat,Mat,PetscInt,PetscBool *);
490 PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat,Mat,PetscInt,PetscBool *);
491 
492 PETSC_EXTERN PetscErrorCode MatNorm(Mat,NormType,PetscReal *);
493 PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat,NormType,PetscReal *);
494 PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
495 PETSC_EXTERN PetscErrorCode MatZeroRows(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
496 PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat,IS,PetscScalar,Vec,Vec);
497 PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat,PetscInt,const MatStencil [],PetscScalar,Vec,Vec);
498 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat,PetscInt,const MatStencil[],PetscScalar,Vec,Vec);
499 PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
500 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat,IS,PetscScalar,Vec,Vec);
501 
502 PETSC_EXTERN PetscErrorCode MatGetSize(Mat,PetscInt*,PetscInt*);
503 PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat,PetscInt*,PetscInt*);
504 PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat,PetscInt*,PetscInt*);
505 PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat,const PetscInt**);
506 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat,PetscInt*,PetscInt*);
507 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat,const PetscInt**);
508 
509 PETSC_EXTERN PetscErrorCode MatGetSubMatrices(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
510 PETSC_EXTERN PetscErrorCode MatGetSubMatricesParallel(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
511 PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt,Mat *[]);
512 PETSC_EXTERN PetscErrorCode MatGetSubMatrix(Mat,IS,IS,MatReuse,Mat *);
513 PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat,IS,IS,Mat*);
514 PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat,IS,IS,Mat*);
515 PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat,Mat*);
516 PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat*);
517 
518 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJConcatenateSeqAIJ(MPI_Comm,Mat,PetscInt,MatReuse,Mat*);
519 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJConcatenateSeqAIJSymbolic(MPI_Comm,Mat,PetscInt,Mat*);
520 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJConcatenateSeqAIJNumeric(MPI_Comm,Mat,PetscInt,Mat);
521 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm,Mat,PetscInt,PetscInt,MatReuse,Mat*);
522 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm,Mat,PetscInt,PetscInt,Mat*);
523 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat,Mat);
524 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat,MatReuse,Mat*);
525 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat,MatReuse,IS*,IS*,Mat*);
526 PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat,Mat,MatReuse,IS*,IS*,Mat*);
527 #if defined (PETSC_USE_CTABLE)
528 PETSC_EXTERN PetscErrorCode MatGetCommunicationStructs(Mat, Vec *, PetscTable *, VecScatter *);
529 #else
530 PETSC_EXTERN PetscErrorCode MatGetCommunicationStructs(Mat, Vec *, PetscInt *[], VecScatter *);
531 #endif
532 PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *,const PetscInt *[]);
533 
534 PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat,PetscInt,IS[],PetscInt);
535 
536 PETSC_EXTERN PetscErrorCode MatMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
537 PETSC_EXTERN PetscErrorCode MatMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
538 PETSC_EXTERN PetscErrorCode MatMatMultNumeric(Mat,Mat,Mat);
539 
540 PETSC_EXTERN PetscErrorCode MatPtAP(Mat,Mat,MatReuse,PetscReal,Mat*);
541 PETSC_EXTERN PetscErrorCode MatPtAPSymbolic(Mat,Mat,PetscReal,Mat*);
542 PETSC_EXTERN PetscErrorCode MatPtAPNumeric(Mat,Mat,Mat);
543 PETSC_EXTERN PetscErrorCode MatRARt(Mat,Mat,MatReuse,PetscReal,Mat*);
544 PETSC_EXTERN PetscErrorCode MatRARtSymbolic(Mat,Mat,PetscReal,Mat*);
545 PETSC_EXTERN PetscErrorCode MatRARtNumeric(Mat,Mat,Mat);
546 
547 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
548 PETSC_EXTERN PetscErrorCode MatTransposetMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
549 PETSC_EXTERN PetscErrorCode MatTransposetMatMultNumeric(Mat,Mat,Mat);
550 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat,Mat,MatReuse,PetscReal,Mat*);
551 PETSC_EXTERN PetscErrorCode MatMatTransposeMultSymbolic(Mat,Mat,PetscReal,Mat*);
552 PETSC_EXTERN PetscErrorCode MatMatTransposeMultNumeric(Mat,Mat,Mat);
553 
554 PETSC_EXTERN PetscErrorCode MatAXPY(Mat,PetscScalar,Mat,MatStructure);
555 PETSC_EXTERN PetscErrorCode MatAYPX(Mat,PetscScalar,Mat,MatStructure);
556 
557 PETSC_EXTERN PetscErrorCode MatScale(Mat,PetscScalar);
558 PETSC_EXTERN PetscErrorCode MatShift(Mat,PetscScalar);
559 
560 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
561 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMappingBlock(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
562 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
563 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMappingBlock(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
564 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
565 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
566 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
567 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
568 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
569 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
570 
571 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat,PetscInt,PetscInt);
572 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat,PetscInt*,PetscInt*,PetscInt*,PetscInt*);
573 
574 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat,Vec,Vec);
575 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat,Vec,Vec,Vec);
576 PETSC_EXTERN PetscErrorCode MatRestrict(Mat,Vec,Vec);
577 PETSC_EXTERN PetscErrorCode MatGetVecs(Mat,Vec*,Vec*);
578 PETSC_EXTERN PetscErrorCode MatGetRedundantMatrix(Mat,PetscInt,MPI_Comm,PetscInt,MatReuse,Mat*);
579 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat,MPI_Comm,MatReuse,Mat*);
580 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat,IS*);
581 
582 /*MC
583    MatSetValue - Set a single entry into a matrix.
584 
585    Not collective
586 
587    Input Parameters:
588 +  m - the matrix
589 .  row - the row location of the entry
590 .  col - the column location of the entry
591 .  value - the value to insert
592 -  mode - either INSERT_VALUES or ADD_VALUES
593 
594    Notes:
595    For efficiency one should use MatSetValues() and set several or many
596    values simultaneously if possible.
597 
598    Level: beginner
599 
600 .seealso: MatSetValues(), MatSetValueLocal()
601 M*/
602 PETSC_STATIC_INLINE PetscErrorCode MatSetValue(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValues(v,1,&i,1,&j,&va,mode);}
603 
604 PETSC_STATIC_INLINE PetscErrorCode MatGetValue(Mat v,PetscInt i,PetscInt j,PetscScalar *va) {return MatGetValues(v,1,&i,1,&j,va);}
605 
606 PETSC_STATIC_INLINE PetscErrorCode MatSetValueLocal(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValuesLocal(v,1,&i,1,&j,&va,mode);}
607 
608 /*MC
609    MatPreallocateInitialize - Begins the block of code that will count the number of nonzeros per
610        row in a matrix providing the data that one can use to correctly preallocate the matrix.
611 
612    Synopsis:
613    PetscErrorCode MatPreallocateInitialize(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
614 
615    Collective on MPI_Comm
616 
617    Input Parameters:
618 +  comm - the communicator that will share the eventually allocated matrix
619 .  nrows - the number of LOCAL rows in the matrix
620 -  ncols - the number of LOCAL columns in the matrix
621 
622    Output Parameters:
623 +  dnz - the array that will be passed to the matrix preallocation routines
624 -  ozn - the other array passed to the matrix preallocation routines
625 
626 
627    Level: intermediate
628 
629    Notes:
630     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
631 
632    Do not malloc or free dnz and onz, that is handled internally by these routines
633 
634    Use MatPreallocateInitializeSymmetric() for symmetric matrices (MPISBAIJ matrices)
635 
636    This is a MACRO not a function because it has a leading { that is closed by PetscPreallocateFinalize().
637 
638   Concepts: preallocation^Matrix
639 
640 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateSetLocal(),
641           MatPreallocateInitializeSymmetric(), MatPreallocateSymmetricSetLocal()
642 M*/
643 #define MatPreallocateInitialize(comm,nrows,ncols,dnz,onz) 0; \
644 { \
645   PetscErrorCode _4_ierr; PetscInt __nrows = (nrows),__ctmp = (ncols),__rstart,__start,__end; \
646   _4_ierr = PetscMalloc2(__nrows,PetscInt,&dnz,__nrows,PetscInt,&onz);CHKERRQ(_4_ierr); \
647   _4_ierr = PetscMemzero(dnz,__nrows*sizeof(PetscInt));CHKERRQ(_4_ierr);\
648   _4_ierr = PetscMemzero(onz,__nrows*sizeof(PetscInt));CHKERRQ(_4_ierr); __start = 0; __end = __start; \
649   _4_ierr = MPI_Scan(&__ctmp,&__end,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __start = __end - __ctmp;\
650   _4_ierr = MPI_Scan(&__nrows,&__rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __nrows;
651 
652 /*MC
653    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
654        inserted using a local number of the rows and columns
655 
656    Synopsis:
657    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
658 
659    Not Collective
660 
661    Input Parameters:
662 +  map - the row mapping from local numbering to global numbering
663 .  nrows - the number of rows indicated
664 .  rows - the indices of the rows
665 .  cmap - the column mapping from local to global numbering
666 .  ncols - the number of columns in the matrix
667 .  cols - the columns indicated
668 .  dnz - the array that will be passed to the matrix preallocation routines
669 -  ozn - the other array passed to the matrix preallocation routines
670 
671 
672    Level: intermediate
673 
674    Notes:
675     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
676 
677    Do not malloc or free dnz and onz, that is handled internally by these routines
678 
679   Concepts: preallocation^Matrix
680 
681 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
682           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal()
683 M*/
684 #define MatPreallocateSetLocal(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
685 {\
686   PetscInt __l;\
687   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
688   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
689   for (__l=0;__l<nrows;__l++) {\
690     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
691   }\
692 }
693 
694 /*MC
695    MatPreallocateSymmetricSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
696        inserted using a local number of the rows and columns
697 
698    Synopsis:
699    PetscErrorCode MatPreallocateSymmetricSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
700 
701    Not Collective
702 
703    Input Parameters:
704 +  map - the mapping between local numbering and global numbering
705 .  nrows - the number of rows indicated
706 .  rows - the indices of the rows
707 .  ncols - the number of columns in the matrix
708 .  cols - the columns indicated
709 .  dnz - the array that will be passed to the matrix preallocation routines
710 -  ozn - the other array passed to the matrix preallocation routines
711 
712 
713    Level: intermediate
714 
715    Notes:
716     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
717 
718    Do not malloc or free dnz and onz that is handled internally by these routines
719 
720   Concepts: preallocation^Matrix
721 
722 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
723           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal(), MatPreallocateSetLocal()
724 M*/
725 #define MatPreallocateSymmetricSetLocal(map,nrows,rows,ncols,cols,dnz,onz) 0;\
726 {\
727   PetscInt __l;\
728   _4_ierr = ISLocalToGlobalMappingApply(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
729   _4_ierr = ISLocalToGlobalMappingApply(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
730   for (__l=0;__l<nrows;__l++) {\
731     _4_ierr = MatPreallocateSymmetricSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
732   }\
733 }
734 
735 /*MC
736    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
737        inserted using a local number of the rows and columns
738 
739    Synopsis:
740    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
741 
742    Not Collective
743 
744    Input Parameters:
745 +  row - the row
746 .  ncols - the number of columns in the matrix
747 -  cols - the columns indicated
748 
749    Output Parameters:
750 +  dnz - the array that will be passed to the matrix preallocation routines
751 -  ozn - the other array passed to the matrix preallocation routines
752 
753 
754    Level: intermediate
755 
756    Notes:
757     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
758 
759    Do not malloc or free dnz and onz that is handled internally by these routines
760 
761    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
762 
763   Concepts: preallocation^Matrix
764 
765 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
766           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal(), MatPreallocateSetLocal()
767 M*/
768 #define MatPreallocateSet(row,nc,cols,dnz,onz) 0;\
769 { PetscInt __i; \
770   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);\
771   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);\
772   for (__i=0; __i<nc; __i++) {\
773     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
774     else dnz[row - __rstart]++;\
775   }\
776 }
777 
778 /*MC
779    MatPreallocateSymmetricSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
780        inserted using a local number of the rows and columns
781 
782    Synopsis:
783    PetscErrorCode MatPreallocateSymmetricSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
784 
785    Not Collective
786 
787    Input Parameters:
788 +  nrows - the number of rows indicated
789 .  rows - the indices of the rows
790 .  ncols - the number of columns in the matrix
791 .  cols - the columns indicated
792 .  dnz - the array that will be passed to the matrix preallocation routines
793 -  ozn - the other array passed to the matrix preallocation routines
794 
795 
796    Level: intermediate
797 
798    Notes:
799     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
800 
801    Do not malloc or free dnz and onz that is handled internally by these routines
802 
803    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
804 
805   Concepts: preallocation^Matrix
806 
807 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
808           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal(), MatPreallocateSetLocal()
809 M*/
810 #define MatPreallocateSymmetricSet(row,nc,cols,dnz,onz) 0;\
811 { PetscInt __i; \
812   for (__i=0; __i<nc; __i++) {\
813     if (cols[__i] >= __end) onz[row - __rstart]++; \
814     else if (cols[__i] >= row) dnz[row - __rstart]++;\
815   }\
816 }
817 
818 /*MC
819    MatPreallocateLocation -  An alternative to MatPreallocationSet() that puts the nonzero locations into the matrix if it exists
820 
821    Synopsis:
822    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
823 
824    Not Collective
825 
826    Input Parameters:
827 .  A - matrix
828 .  row - row where values exist (must be local to this process)
829 .  ncols - number of columns
830 .  cols - columns with nonzeros
831 .  dnz - the array that will be passed to the matrix preallocation routines
832 -  ozn - the other array passed to the matrix preallocation routines
833 
834 
835    Level: intermediate
836 
837    Notes:
838     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
839 
840    Do not malloc or free dnz and onz that is handled internally by these routines
841 
842    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
843 
844   Concepts: preallocation^Matrix
845 
846 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateSetLocal(),
847           MatPreallocateSymmetricSetLocal()
848 M*/
849 #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);}
850 
851 
852 /*MC
853    MatPreallocateFinalize - Ends the block of code that will count the number of nonzeros per
854        row in a matrix providing the data that one can use to correctly preallocate the matrix.
855 
856    Synopsis:
857    PetscErrorCode MatPreallocateFinalize(PetscInt *dnz, PetscInt *onz)
858 
859    Collective on MPI_Comm
860 
861    Input Parameters:
862 +  dnz - the array that was be passed to the matrix preallocation routines
863 -  ozn - the other array passed to the matrix preallocation routines
864 
865 
866    Level: intermediate
867 
868    Notes:
869     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
870 
871    Do not malloc or free dnz and onz that is handled internally by these routines
872 
873    This is a MACRO not a function because it closes the { started in MatPreallocateInitialize().
874 
875   Concepts: preallocation^Matrix
876 
877 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateSetLocal(),
878           MatPreallocateSymmetricSetLocal()
879 M*/
880 #define MatPreallocateFinalize(dnz,onz) 0;_4_ierr = PetscFree2(dnz,onz);CHKERRQ(_4_ierr);}
881 
882 
883 
884 /* Routines unique to particular data structures */
885 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat,void *);
886 
887 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat,IS*,IS*);
888 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat,PetscInt *,PetscInt *[],PetscInt *);
889 
890 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat,PetscInt[]);
891 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat,PetscInt[]);
892 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
893 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
894 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
895 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*,PetscInt,PetscBool);
896 
897 #define MAT_SKIP_ALLOCATION -4
898 
899 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
900 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
901 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat,PetscInt,const PetscInt[]);
902 
903 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
904 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
905 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
906 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat,const PetscInt [],const PetscInt [],const PetscScalar []);
907 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
908 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]);
909 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
910 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat,PetscInt[],PetscInt[],PetscInt[]);
911 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
912 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
913 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,PetscInt*[]);
914 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,PetscInt*[]);
915 PETSC_EXTERN PetscErrorCode MatAdicSetLocalFunction(Mat,void (*)(void));
916 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat,Mat*);
917 
918 PETSC_EXTERN PetscErrorCode MatSeqDenseSetLDA(Mat,PetscInt);
919 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat,Mat*);
920 
921 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
922 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
923 
924 PETSC_EXTERN PetscErrorCode MatDAADSetCtx(Mat,void*);
925 
926 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat,IS*);
927 /*
928   These routines are not usually accessed directly, rather solving is
929   done through the KSP and PC interfaces.
930 */
931 
932 /*J
933     MatOrderingType - String with the name of a PETSc matrix ordering or the creation function
934        with an optional dynamic library name, for example
935        http://www.mcs.anl.gov/petsc/lib.a:orderingcreate()
936 
937    Level: beginner
938 
939    Cannot use const because the PC objects manipulate the string
940 
941 .seealso: MatGetOrdering()
942 J*/
943 #define MatOrderingType char*
944 #define MATORDERINGNATURAL     "natural"
945 #define MATORDERINGND          "nd"
946 #define MATORDERING1WD         "1wd"
947 #define MATORDERINGRCM         "rcm"
948 #define MATORDERINGQMD         "qmd"
949 #define MATORDERINGROWLENGTH   "rowlength"
950 #define MATORDERINGAMD         "amd"            /* only works if UMFPACK is installed with PETSc */
951 
952 PETSC_EXTERN PetscErrorCode MatGetOrdering(Mat,const MatOrderingType,IS*,IS*);
953 PETSC_EXTERN PetscErrorCode MatGetOrderingList(PetscFList *list);
954 PETSC_EXTERN PetscErrorCode MatOrderingRegister(const char[],const char[],const char[],PetscErrorCode(*)(Mat,const MatOrderingType,IS*,IS*));
955 
956 /*MC
957    MatOrderingRegisterDynamic - Adds a new sparse matrix ordering to the matrix package.
958 
959    Synopsis:
960    PetscErrorCode MatOrderingRegisterDynamic(const char *name_ordering,const char *path,const char *name_create,PetscErrorCode (*routine_create)(MatOrdering))
961 
962    Not Collective
963 
964    Input Parameters:
965 +  sname - name of ordering (for example MATORDERINGND)
966 .  path - location of library where creation routine is
967 .  name - name of function that creates the ordering type,a string
968 -  function - function pointer that creates the ordering
969 
970    Level: developer
971 
972    If dynamic libraries are used, then the fourth input argument (function)
973    is ignored.
974 
975    Sample usage:
976 .vb
977    MatOrderingRegisterDynamic("my_order",/home/username/my_lib/lib/libO/solaris/mylib.a,
978                "MyOrder",MyOrder);
979 .ve
980 
981    Then, your partitioner can be chosen with the procedural interface via
982 $     MatOrderingSetType(part,"my_order)
983    or at runtime via the option
984 $     -pc_factor_mat_ordering_type my_order
985 
986    ${PETSC_ARCH} occuring in pathname will be replaced with appropriate values.
987 
988 .keywords: matrix, ordering, register
989 
990 .seealso: MatOrderingRegisterDestroy(), MatOrderingRegisterAll()
991 M*/
992 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
993 #define MatOrderingRegisterDynamic(a,b,c,d) MatOrderingRegister(a,b,c,0)
994 #else
995 #define MatOrderingRegisterDynamic(a,b,c,d) MatOrderingRegister(a,b,c,d)
996 #endif
997 
998 PETSC_EXTERN PetscErrorCode MatOrderingRegisterDestroy(void);
999 PETSC_EXTERN PetscErrorCode MatOrderingRegisterAll(const char[]);
1000 PETSC_EXTERN PetscBool MatOrderingRegisterAllCalled;
1001 PETSC_EXTERN PetscFList MatOrderingList;
1002 
1003 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
1004 
1005 /*S
1006     MatFactorShiftType - Numeric Shift.
1007 
1008    Level: beginner
1009 
1010 S*/
1011 typedef enum {MAT_SHIFT_NONE,MAT_SHIFT_NONZERO,MAT_SHIFT_POSITIVE_DEFINITE,MAT_SHIFT_INBLOCKS} MatFactorShiftType;
1012 PETSC_EXTERN const char *MatFactorShiftTypes[];
1013 
1014 /*S
1015    MatFactorInfo - Data passed into the matrix factorization routines
1016 
1017    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE, that is use
1018 $     MatFactorInfo  info(MAT_FACTORINFO_SIZE)
1019 
1020    Notes: These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
1021 
1022       You can use MatFactorInfoInitialize() to set default values.
1023 
1024    Level: developer
1025 
1026 .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor(),
1027           MatFactorInfoInitialize()
1028 
1029 S*/
1030 typedef struct {
1031   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
1032   PetscReal     usedt;
1033   PetscReal     dt;             /* drop tolerance */
1034   PetscReal     dtcol;          /* tolerance for pivoting */
1035   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
1036   PetscReal     fill;           /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1037   PetscReal     levels;         /* ICC/ILU(levels) */
1038   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1039                                    factorization may be faster if do not pivot */
1040   PetscReal     zeropivot;      /* pivot is called zero if less than this */
1041   PetscReal     shifttype;      /* type of shift added to matrix factor to prevent zero pivots */
1042   PetscReal     shiftamount;     /* how large the shift is */
1043 } MatFactorInfo;
1044 
1045 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo*);
1046 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat,IS,const MatFactorInfo*);
1047 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1048 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat,Mat,const MatFactorInfo*);
1049 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat,IS,IS,const MatFactorInfo*);
1050 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat,IS,IS,const MatFactorInfo*);
1051 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1052 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1053 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1054 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat,IS,const MatFactorInfo*);
1055 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat,Mat,const MatFactorInfo*);
1056 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat,PetscInt*,PetscInt*,PetscInt*);
1057 PETSC_EXTERN PetscErrorCode MatSolve(Mat,Vec,Vec);
1058 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat,Vec,Vec);
1059 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat,Vec,Vec);
1060 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat,Vec,Vec,Vec);
1061 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat,Vec,Vec);
1062 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
1063 PETSC_EXTERN PetscErrorCode MatSolves(Mat,Vecs,Vecs);
1064 
1065 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
1066 
1067 /*E
1068     MatSORType - What type of (S)SOR to perform
1069 
1070     Level: beginner
1071 
1072    May be bitwise ORd together
1073 
1074    Any additions/changes here MUST also be made in include/finclude/petscmat.h
1075 
1076    MatSORType may be bitwise ORd together, so do not change the numbers
1077 
1078 .seealso: MatSOR()
1079 E*/
1080 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
1081               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
1082               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
1083               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
1084 PETSC_EXTERN PetscErrorCode MatSOR(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
1085 
1086 /*
1087     These routines are for efficiently computing Jacobians via finite differences.
1088 */
1089 
1090 /*J
1091     MatColoringType - String with the name of a PETSc matrix coloring or the creation function
1092        with an optional dynamic library name, for example
1093        http://www.mcs.anl.gov/petsc/lib.a:coloringcreate()
1094 
1095    Level: beginner
1096 
1097 .seealso: MatGetColoring()
1098 J*/
1099 #define MatColoringType char*
1100 #define MATCOLORINGNATURAL "natural"
1101 #define MATCOLORINGSL      "sl"
1102 #define MATCOLORINGLF      "lf"
1103 #define MATCOLORINGID      "id"
1104 
1105 PETSC_EXTERN PetscErrorCode MatGetColoring(Mat,const MatColoringType,ISColoring*);
1106 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[],const char[],const char[],PetscErrorCode(*)(Mat,MatColoringType,ISColoring *));
1107 
1108 /*MC
1109    MatColoringRegisterDynamic - Adds a new sparse matrix coloring to the
1110                                matrix package.
1111 
1112    Synopsis:
1113    PetscErrorCode MatColoringRegisterDynamic(const char *name_coloring,const char *path,const char *name_create,PetscErrorCode (*routine_create)(MatColoring))
1114 
1115    Not Collective
1116 
1117    Input Parameters:
1118 +  sname - name of Coloring (for example MATCOLORINGSL)
1119 .  path - location of library where creation routine is
1120 .  name - name of function that creates the Coloring type, a string
1121 -  function - function pointer that creates the coloring
1122 
1123    Level: developer
1124 
1125    If dynamic libraries are used, then the fourth input argument (function)
1126    is ignored.
1127 
1128    Sample usage:
1129 .vb
1130    MatColoringRegisterDynamic("my_color",/home/username/my_lib/lib/libO/solaris/mylib.a,
1131                "MyColor",MyColor);
1132 .ve
1133 
1134    Then, your partitioner can be chosen with the procedural interface via
1135 $     MatColoringSetType(part,"my_color")
1136    or at runtime via the option
1137 $     -mat_coloring_type my_color
1138 
1139    $PETSC_ARCH occuring in pathname will be replaced with appropriate values.
1140 
1141 .keywords: matrix, Coloring, register
1142 
1143 .seealso: MatColoringRegisterDestroy(), MatColoringRegisterAll()
1144 M*/
1145 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
1146 #define MatColoringRegisterDynamic(a,b,c,d) MatColoringRegister(a,b,c,0)
1147 #else
1148 #define MatColoringRegisterDynamic(a,b,c,d) MatColoringRegister(a,b,c,d)
1149 #endif
1150 
1151 PETSC_EXTERN PetscBool MatColoringRegisterAllCalled;
1152 
1153 PETSC_EXTERN PetscErrorCode MatColoringRegisterAll(const char[]);
1154 PETSC_EXTERN PetscErrorCode MatColoringRegisterDestroy(void);
1155 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat,PetscInt,PetscInt,ISColoringValue[],ISColoring*);
1156 
1157 /*S
1158      MatFDColoring - Object for computing a sparse Jacobian via finite differences
1159         and coloring
1160 
1161    Level: beginner
1162 
1163   Concepts: coloring, sparse Jacobian, finite differences
1164 
1165 .seealso:  MatFDColoringCreate()
1166 S*/
1167 typedef struct _p_MatFDColoring* MatFDColoring;
1168 
1169 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
1170 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring*);
1171 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring,PetscViewer);
1172 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring,PetscErrorCode (*)(void),void*);
1173 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring,PetscErrorCode (**)(void),void**);
1174 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
1175 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1176 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat,MatFDColoring,Vec,MatStructure*,void *);
1177 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring,Vec);
1178 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring,PetscInt*,PetscInt*[]);
1179 
1180 /*S
1181      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring
1182 
1183    Level: beginner
1184 
1185   Concepts: coloring, sparse matrix product
1186 
1187 .seealso:  MatTransposeColoringCreate()
1188 S*/
1189 typedef struct _p_MatTransposeColoring* MatTransposeColoring;
1190 
1191 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat,ISColoring,MatTransposeColoring *);
1192 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring,Mat,Mat);
1193 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring,Mat,Mat);
1194 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring*);
1195 
1196 /*
1197     These routines are for partitioning matrices: currently used only
1198   for adjacency matrix, MatCreateMPIAdj().
1199 */
1200 
1201 /*S
1202      MatPartitioning - Object for managing the partitioning of a matrix or graph
1203 
1204    Level: beginner
1205 
1206   Concepts: partitioning
1207 
1208 .seealso:  MatPartitioningCreate(), MatPartitioningType
1209 S*/
1210 typedef struct _p_MatPartitioning* MatPartitioning;
1211 
1212 /*J
1213     MatPartitioningType - String with the name of a PETSc matrix partitioning or the creation function
1214        with an optional dynamic library name, for example
1215        http://www.mcs.anl.gov/petsc/lib.a:partitioningcreate()
1216 
1217    Level: beginner
1218 dm
1219 .seealso: MatPartitioningCreate(), MatPartitioning
1220 J*/
1221 #define MatPartitioningType char*
1222 #define MATPARTITIONINGCURRENT  "current"
1223 #define MATPARTITIONINGSQUARE   "square"
1224 #define MATPARTITIONINGPARMETIS "parmetis"
1225 #define MATPARTITIONINGCHACO    "chaco"
1226 #define MATPARTITIONINGPARTY    "party"
1227 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1228 
1229 
1230 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1231 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning,const MatPartitioningType);
1232 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning,PetscInt);
1233 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning,Mat);
1234 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning,const PetscInt[]);
1235 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1236 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning,IS*);
1237 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning*);
1238 
1239 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[],const char[],const char[],PetscErrorCode (*)(MatPartitioning));
1240 
1241 /*MC
1242    MatPartitioningRegisterDynamic - Adds a new sparse matrix partitioning to the
1243    matrix package.
1244 
1245    Synopsis:
1246    PetscErrorCode MatPartitioningRegisterDynamic(const char *name_partitioning,const char *path,const char *name_create,PetscErrorCode (*routine_create)(MatPartitioning))
1247 
1248    Not Collective
1249 
1250    Input Parameters:
1251 +  sname - name of partitioning (for example MATPARTITIONINGCURRENT) or parmetis
1252 .  path - location of library where creation routine is
1253 .  name - name of function that creates the partitioning type, a string
1254 -  function - function pointer that creates the partitioning type
1255 
1256    Level: developer
1257 
1258    If dynamic libraries are used, then the fourth input argument (function)
1259    is ignored.
1260 
1261    Sample usage:
1262 .vb
1263    MatPartitioningRegisterDynamic("my_part",/home/username/my_lib/lib/libO/solaris/mylib.a,
1264                "MyPartCreate",MyPartCreate);
1265 .ve
1266 
1267    Then, your partitioner can be chosen with the procedural interface via
1268 $     MatPartitioningSetType(part,"my_part")
1269    or at runtime via the option
1270 $     -mat_partitioning_type my_part
1271 
1272    $PETSC_ARCH occuring in pathname will be replaced with appropriate values.
1273 
1274 .keywords: matrix, partitioning, register
1275 
1276 .seealso: MatPartitioningRegisterDestroy(), MatPartitioningRegisterAll()
1277 M*/
1278 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
1279 #define MatPartitioningRegisterDynamic(a,b,c,d) MatPartitioningRegister(a,b,c,0)
1280 #else
1281 #define MatPartitioningRegisterDynamic(a,b,c,d) MatPartitioningRegister(a,b,c,d)
1282 #endif
1283 
1284 PETSC_EXTERN PetscBool MatPartitioningRegisterAllCalled;
1285 
1286 PETSC_EXTERN PetscErrorCode MatPartitioningRegisterAll(const char[]);
1287 PETSC_EXTERN PetscErrorCode MatPartitioningRegisterDestroy(void);
1288 
1289 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning,PetscViewer);
1290 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1291 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning,const MatPartitioningType*);
1292 
1293 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1294 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1295 
1296 typedef enum { MP_CHACO_MULTILEVEL=1,MP_CHACO_SPECTRAL=2,MP_CHACO_LINEAR=4,MP_CHACO_RANDOM=5,MP_CHACO_SCATTERED=6 } MPChacoGlobalType;
1297 PETSC_EXTERN const char *MPChacoGlobalTypes[];
1298 typedef enum { MP_CHACO_KERNIGHAN=1,MP_CHACO_NONE=2 } MPChacoLocalType;
1299 PETSC_EXTERN const char *MPChacoLocalTypes[];
1300 typedef enum { MP_CHACO_LANCZOS=0,MP_CHACO_RQI=1 } MPChacoEigenType;
1301 PETSC_EXTERN const char *MPChacoEigenTypes[];
1302 
1303 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning,MPChacoGlobalType);
1304 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning,MPChacoGlobalType*);
1305 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning,MPChacoLocalType);
1306 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning,MPChacoLocalType*);
1307 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning,PetscReal);
1308 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning,MPChacoEigenType);
1309 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning,MPChacoEigenType*);
1310 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning,PetscReal);
1311 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning,PetscReal*);
1312 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning,PetscInt);
1313 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning,PetscInt*);
1314 
1315 #define MP_PARTY_OPT "opt"
1316 #define MP_PARTY_LIN "lin"
1317 #define MP_PARTY_SCA "sca"
1318 #define MP_PARTY_RAN "ran"
1319 #define MP_PARTY_GBF "gbf"
1320 #define MP_PARTY_GCF "gcf"
1321 #define MP_PARTY_BUB "bub"
1322 #define MP_PARTY_DEF "def"
1323 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning,const char*);
1324 #define MP_PARTY_HELPFUL_SETS "hs"
1325 #define MP_PARTY_KERNIGHAN_LIN "kl"
1326 #define MP_PARTY_NONE "no"
1327 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning,const char*);
1328 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning,PetscReal);
1329 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning,PetscBool);
1330 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning,PetscBool);
1331 
1332 typedef enum { MP_PTSCOTCH_QUALITY,MP_PTSCOTCH_SPEED,MP_PTSCOTCH_BALANCE,MP_PTSCOTCH_SAFETY,MP_PTSCOTCH_SCALABILITY } MPPTScotchStrategyType;
1333 PETSC_EXTERN const char *MPPTScotchStrategyTypes[];
1334 
1335 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning,PetscReal);
1336 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning,PetscReal*);
1337 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning,MPPTScotchStrategyType);
1338 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning,MPPTScotchStrategyType*);
1339 
1340 /*
1341     These routines are for coarsening matrices:
1342 */
1343 
1344 /*S
1345      MatCoarsen - Object for managing the coarsening of a graph (symmetric matrix)
1346 
1347    Level: beginner
1348 
1349   Concepts: coarsen
1350 
1351 .seealso:  MatCoarsenCreate), MatCoarsenType
1352 S*/
1353 typedef struct _p_MatCoarsen* MatCoarsen;
1354 
1355 /*J
1356     MatCoarsenType - String with the name of a PETSc matrix coarsen or the creation function
1357        with an optional dynamic library name, for example
1358        http://www.mcs.anl.gov/petsc/lib.a:coarsencreate()
1359 
1360    Level: beginner
1361 dm
1362 .seealso: MatCoarsenCreate(), MatCoarsen
1363 J*/
1364 #define MatCoarsenType char*
1365 #define MATCOARSENMIS  "mis"
1366 #define MATCOARSENHEM  "hem"
1367 
1368 /* linked list for aggregates */
1369 typedef struct _PetscCDIntNd{
1370   struct _PetscCDIntNd *next;
1371   PetscInt   gid;
1372 }PetscCDIntNd;
1373 
1374 /* only used by node pool */
1375 typedef struct _PetscCDArrNd{
1376   struct _PetscCDArrNd *next;
1377   struct _PetscCDIntNd *array;
1378 }PetscCDArrNd;
1379 
1380 typedef struct _PetscCoarsenData{
1381   /* node pool */
1382   PetscCDArrNd  pool_list;
1383   PetscCDIntNd *new_node;
1384   PetscInt   new_left;
1385   PetscInt   chk_sz;
1386   PetscCDIntNd *extra_nodes;
1387   /* Array of lists */
1388   PetscCDIntNd **array;
1389   PetscInt size;
1390   /* cache a Mat for communication data */
1391   Mat mat;
1392   /* cache IS of removed equations */
1393   IS removedIS;
1394 }PetscCoarsenData;
1395 
1396 PETSC_EXTERN PetscErrorCode MatCoarsenCreate(MPI_Comm,MatCoarsen*);
1397 PETSC_EXTERN PetscErrorCode MatCoarsenSetType(MatCoarsen,const MatCoarsenType);
1398 PETSC_EXTERN PetscErrorCode MatCoarsenSetAdjacency(MatCoarsen,Mat);
1399 PETSC_EXTERN PetscErrorCode MatCoarsenSetGreedyOrdering(MatCoarsen,const IS);
1400 PETSC_EXTERN PetscErrorCode MatCoarsenSetStrictAggs(MatCoarsen,PetscBool);
1401 PETSC_EXTERN PetscErrorCode MatCoarsenSetVerbose(MatCoarsen,PetscInt);
1402 PETSC_EXTERN PetscErrorCode MatCoarsenGetData( MatCoarsen, PetscCoarsenData ** );
1403 PETSC_EXTERN PetscErrorCode MatCoarsenApply(MatCoarsen);
1404 PETSC_EXTERN PetscErrorCode MatCoarsenDestroy(MatCoarsen*);
1405 
1406 PETSC_EXTERN PetscErrorCode MatCoarsenRegister(const char[],const char[],const char[],PetscErrorCode (*)(MatCoarsen));
1407 
1408 /*MC
1409    MatCoarsenRegisterDynamic - Adds a new sparse matrix coarsen to the
1410    matrix package.
1411 
1412    Synopsis:
1413    PetscErrorCode MatCoarsenRegisterDynamic(const char *name_coarsen,const char *path,const char *name_create,PetscErrorCode (*routine_create)(MatCoarsen))
1414 
1415    Not Collective
1416 
1417    Input Parameters:
1418 +  sname - name of coarsen (for example MATCOARSENMIS)
1419 .  path - location of library where creation routine is
1420 .  name - name of function that creates the coarsen type, a string
1421 -  function - function pointer that creates the coarsen type
1422 
1423    Level: developer
1424 
1425    If dynamic libraries are used, then the fourth input argument (function)
1426    is ignored.
1427 
1428    Sample usage:
1429 .vb
1430    MatCoarsenRegisterDynamic("my_agg",/home/username/my_lib/lib/libO/solaris/mylib.a,
1431                "MyAggCreate",MyAggCreate);
1432 .ve
1433 
1434    Then, your aggregator can be chosen with the procedural interface via
1435 $     MatCoarsenSetType(agg,"my_agg")
1436    or at runtime via the option
1437 $     -mat_coarsen_type my_agg
1438 
1439    $PETSC_ARCH occuring in pathname will be replaced with appropriate values.
1440 
1441 .keywords: matrix, coarsen, register
1442 
1443 .seealso: MatCoarsenRegisterDestroy(), MatCoarsenRegisterAll()
1444 M*/
1445 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
1446 #define MatCoarsenRegisterDynamic(a,b,c,d) MatCoarsenRegister(a,b,c,0)
1447 #else
1448 #define MatCoarsenRegisterDynamic(a,b,c,d) MatCoarsenRegister(a,b,c,d)
1449 #endif
1450 
1451 PETSC_EXTERN PetscBool MatCoarsenRegisterAllCalled;
1452 
1453 PETSC_EXTERN PetscErrorCode MatCoarsenRegisterAll(const char[]);
1454 PETSC_EXTERN PetscErrorCode MatCoarsenRegisterDestroy(void);
1455 
1456 PETSC_EXTERN PetscErrorCode MatCoarsenView(MatCoarsen,PetscViewer);
1457 PETSC_EXTERN PetscErrorCode MatCoarsenSetFromOptions(MatCoarsen);
1458 PETSC_EXTERN PetscErrorCode MatCoarsenGetType(MatCoarsen,const MatCoarsenType*);
1459 
1460 
1461 PETSC_EXTERN PetscErrorCode MatMeshToVertexGraph(Mat,PetscInt,Mat*);
1462 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat,PetscInt,Mat*);
1463 
1464 /*
1465     If you add entries here you must also add them to finclude/petscmat.h
1466 */
1467 typedef enum { MATOP_SET_VALUES=0,
1468                MATOP_GET_ROW=1,
1469                MATOP_RESTORE_ROW=2,
1470                MATOP_MULT=3,
1471                MATOP_MULT_ADD=4,
1472                MATOP_MULT_TRANSPOSE=5,
1473                MATOP_MULT_TRANSPOSE_ADD=6,
1474                MATOP_SOLVE=7,
1475                MATOP_SOLVE_ADD=8,
1476                MATOP_SOLVE_TRANSPOSE=9,
1477                MATOP_SOLVE_TRANSPOSE_ADD=10,
1478                MATOP_LUFACTOR=11,
1479                MATOP_CHOLESKYFACTOR=12,
1480                MATOP_SOR=13,
1481                MATOP_TRANSPOSE=14,
1482                MATOP_GETINFO=15,
1483                MATOP_EQUAL=16,
1484                MATOP_GET_DIAGONAL=17,
1485                MATOP_DIAGONAL_SCALE=18,
1486                MATOP_NORM=19,
1487                MATOP_ASSEMBLY_BEGIN=20,
1488                MATOP_ASSEMBLY_END=21,
1489                MATOP_SET_OPTION=22,
1490                MATOP_ZERO_ENTRIES=23,
1491                MATOP_ZERO_ROWS=24,
1492                MATOP_LUFACTOR_SYMBOLIC=25,
1493                MATOP_LUFACTOR_NUMERIC=26,
1494                MATOP_CHOLESKY_FACTOR_SYMBOLIC=27,
1495                MATOP_CHOLESKY_FACTOR_NUMERIC=28,
1496                MATOP_SETUP_PREALLOCATION=29,
1497                MATOP_ILUFACTOR_SYMBOLIC=30,
1498                MATOP_ICCFACTOR_SYMBOLIC=31,
1499                MATOP_GET_ARRAY=32,
1500                MATOP_RESTORE_ARRAY=33,
1501                MATOP_DUPLICATE=34,
1502                MATOP_FORWARD_SOLVE=35,
1503                MATOP_BACKWARD_SOLVE=36,
1504                MATOP_ILUFACTOR=37,
1505                MATOP_ICCFACTOR=38,
1506                MATOP_AXPY=39,
1507                MATOP_GET_SUBMATRICES=40,
1508                MATOP_INCREASE_OVERLAP=41,
1509                MATOP_GET_VALUES=42,
1510                MATOP_COPY=43,
1511                MATOP_GET_ROW_MAX=44,
1512                MATOP_SCALE=45,
1513                MATOP_SHIFT=46,
1514                MATOP_DIAGONAL_SET=47,
1515                MATOP_ILUDT_FACTOR=48,
1516                MATOP_SET_BLOCK_SIZE=49,
1517                MATOP_GET_ROW_IJ=50,
1518                MATOP_RESTORE_ROW_IJ=51,
1519                MATOP_GET_COLUMN_IJ=52,
1520                MATOP_RESTORE_COLUMN_IJ=53,
1521                MATOP_FDCOLORING_CREATE=54,
1522                MATOP_COLORING_PATCH=55,
1523                MATOP_SET_UNFACTORED=56,
1524                MATOP_PERMUTE=57,
1525                MATOP_SET_VALUES_BLOCKED=58,
1526                MATOP_GET_SUBMATRIX=59,
1527                MATOP_DESTROY=60,
1528                MATOP_VIEW=61,
1529                MATOP_CONVERT_FROM=62,
1530                MATOP_USE_SCALED_FORM=63,
1531                MATOP_SCALE_SYSTEM=64,
1532                MATOP_UNSCALE_SYSTEM=65,
1533                MATOP_SET_LOCAL_TO_GLOBAL_MAP=66,
1534                MATOP_SET_VALUES_LOCAL=67,
1535                MATOP_ZERO_ROWS_LOCAL=68,
1536                MATOP_GET_ROW_MAX_ABS=69,
1537                MATOP_GET_ROW_MIN_ABS=70,
1538                MATOP_CONVERT=71,
1539                MATOP_SET_COLORING=72,
1540                MATOP_SET_VALUES_ADIC=73,
1541                MATOP_SET_VALUES_ADIFOR=74,
1542                MATOP_FD_COLORING_APPLY=75,
1543                MATOP_SET_FROM_OPTIONS=76,
1544                MATOP_MULT_CON=77,
1545                MATOP_MULT_TRANSPOSE_CON=78,
1546                MATOP_PERMUTE_SPARSIFY=79,
1547                MATOP_MULT_MULTIPLE=80,
1548                MATOP_SOLVE_MULTIPLE=81,
1549                MATOP_GET_INERTIA=82,
1550                MATOP_LOAD=83,
1551                MATOP_IS_SYMMETRIC=84,
1552                MATOP_IS_HERMITIAN=85,
1553                MATOP_IS_STRUCTURALLY_SYMMETRIC=86,
1554                MATOP_DUMMY=87,
1555                MATOP_GET_VECS=88,
1556                MATOP_MAT_MULT=89,
1557                MATOP_MAT_MULT_SYMBOLIC=90,
1558                MATOP_MAT_MULT_NUMERIC=91,
1559                MATOP_PTAP=92,
1560                MATOP_PTAP_SYMBOLIC=93,
1561                MATOP_PTAP_NUMERIC=94,
1562                MATOP_MAT_MULTTRANSPOSE=95,
1563                MATOP_MAT_MULTTRANSPOSE_SYM=96,
1564                MATOP_MAT_MULTTRANSPOSE_NUM=97,
1565                MATOP_PTAP_SYMBOLIC_SEQAIJ=98,
1566                MATOP_PTAP_NUMERIC_SEQAIJ=99,
1567                MATOP_PTAP_SYMBOLIC_MPIAIJ=100,
1568                MATOP_PTAP_NUMERIC_MPIAIJ=101,
1569                MATOP_CONJUGATE=102,
1570                MATOP_SET_SIZES=103,
1571                MATOP_SET_VALUES_ROW=104,
1572                MATOP_REAL_PART=105,
1573                MATOP_IMAG_PART=106,
1574                MATOP_GET_ROW_UTRIANGULAR=107,
1575                MATOP_RESTORE_ROW_UTRIANGULAR=108,
1576                MATOP_MATSOLVE=109,
1577                MATOP_GET_REDUNDANTMATRIX=110,
1578                MATOP_GET_ROW_MIN=111,
1579                MATOP_GET_COLUMN_VEC=112,
1580                MATOP_MISSING_DIAGONAL=113,
1581                MATOP_MATGETSEQNONZEROSTRUCTURE=114,
1582                MATOP_CREATE=115,
1583                MATOP_GET_GHOSTS=116,
1584                MATOP_GET_LOCALSUBMATRIX=117,
1585                MATOP_RESTORE_LOCALSUBMATRIX=118,
1586                MATOP_MULT_DIAGONAL_BLOCK=119,
1587                MATOP_HERMITIANTRANSPOSE=120,
1588                MATOP_MULTHERMITIANTRANSPOSE=121,
1589                MATOP_MULTHERMITIANTRANSPOSEADD=122,
1590                MATOP_GETMULTIPROCBLOCK=123,
1591                MATOP_GETCOLUMNNORMS=125,
1592 	       MATOP_GET_SUBMATRICES_PARALLEL=128,
1593                MATOP_SET_VALUES_BATCH=129,
1594                MATOP_TRANSPOSEMATMULT=130,
1595                MATOP_TRANSPOSEMATMULT_SYMBOLIC=131,
1596                MATOP_TRANSPOSEMATMULT_NUMERIC=132,
1597                MATOP_TRANSPOSECOLORING_CREATE=133,
1598                MATOP_TRANSCOLORING_APPLY_SPTODEN=134,
1599                MATOP_TRANSCOLORING_APPLY_DENTOSP=135,
1600                MATOP_RARt=136,
1601                MATOP_RARt_SYMBOLIC=137,
1602                MATOP_RARt_NUMERIC=138,
1603                MATOP_SET_BLOCK_SIZES=139
1604              } MatOperation;
1605 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat,MatOperation,PetscBool *);
1606 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat,MatOperation,void(*)(void));
1607 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat,MatOperation,void(**)(void));
1608 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat,void*);
1609 
1610 /*
1611    Codes for matrices stored on disk. By default they are
1612    stored in a universal format. By changing the format with
1613    PetscViewerSetFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
1614    be stored in a way natural for the matrix, for example dense matrices
1615    would be stored as dense. Matrices stored this way may only be
1616    read into matrices of the same type.
1617 */
1618 #define MATRIX_BINARY_FORMAT_DENSE -1
1619 
1620 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1621 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat,Mat*);
1622 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat,Mat);
1623 
1624 /*S
1625      MatNullSpace - Object that removes a null space from a vector, i.e.
1626          orthogonalizes the vector to a subsapce
1627 
1628    Level: advanced
1629 
1630   Concepts: matrix; linear operator, null space
1631 
1632   Users manual sections:
1633 .   sec_singular
1634 
1635 .seealso:  MatNullSpaceCreate()
1636 S*/
1637 typedef struct _p_MatNullSpace* MatNullSpace;
1638 
1639 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm,PetscBool ,PetscInt,const Vec[],MatNullSpace*);
1640 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace,PetscErrorCode (*)(MatNullSpace,Vec,void*),void*);
1641 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace*);
1642 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace,Vec,Vec*);
1643 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
1644 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat,MatNullSpace);
1645 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat,MatNullSpace);
1646 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat,MatNullSpace*);
1647 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace,Mat,PetscBool  *);
1648 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace,PetscViewer);
1649 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace,PetscBool*,PetscInt*,const Vec**);
1650 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec,MatNullSpace*);
1651 
1652 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat,IS);
1653 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1654 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat,PetscInt *);
1655 PETSC_EXTERN PetscErrorCode MatSeqBAIJInvertBlockDiagonal(Mat);
1656 
1657 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat,PetscInt,Mat*);
1658 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat,PetscInt,Mat*);
1659 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat,Mat*);
1660 
1661 PETSC_EXTERN PetscErrorCode MatComputeExplicitOperator(Mat,Mat*);
1662 
1663 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat,Vec);
1664 
1665 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
1666 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat,Vec,Vec);
1667 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat,PetscErrorCode(*)(void*,Vec,Vec),void*);
1668 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat,PetscErrorCode (*)(void*,PetscInt,Vec,PetscScalar*));
1669 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat,PetscErrorCode (*)(void*,Vec));
1670 PETSC_EXTERN PetscErrorCode MatMFFDAddNullSpace(Mat,MatNullSpace);
1671 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat,PetscScalar[],PetscInt);
1672 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
1673 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat,PetscReal);
1674 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat,PetscInt);
1675 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat,PetscScalar *);
1676 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat,const char[]);
1677 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void*,Vec,Vec,PetscScalar*);
1678 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat,PetscErrorCode (*)(void*,Vec,Vec,PetscScalar*),void*);
1679 
1680 /*S
1681     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
1682               Jacobian vector products
1683 
1684     Notes: MATMFFD is a specific MatType which uses the MatMFFD data structure
1685 
1686            MatMFFD*() methods actually take the Mat as their first argument. Not a MatMFFD data structure
1687 
1688     Level: developer
1689 
1690 .seealso: MATMFFD, MatCreateMFFD(), MatMFFDSetFuction(), MatMFFDSetType(), MatMFFDRegister()
1691 S*/
1692 typedef struct _p_MatMFFD* MatMFFD;
1693 
1694 /*J
1695     MatMFFDType - algorithm used to compute the h used in computing matrix-vector products via differencing of the function
1696 
1697    Level: beginner
1698 
1699 .seealso: MatMFFDSetType(), MatMFFDRegister()
1700 J*/
1701 #define MatMFFDType char*
1702 #define MATMFFD_DS  "ds"
1703 #define MATMFFD_WP  "wp"
1704 
1705 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat,const MatMFFDType);
1706 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[],const char[],const char[],PetscErrorCode (*)(MatMFFD));
1707 
1708 /*MC
1709    MatMFFDRegisterDynamic - Adds a method to the MatMFFD registry.
1710 
1711    Synopsis:
1712    PetscErrorCode MatMFFDRegisterDynamic(const char *name_solver,const char *path,const char *name_create,PetscErrorCode (*routine_create)(MatMFFD))
1713 
1714    Not Collective
1715 
1716    Input Parameters:
1717 +  name_solver - name of a new user-defined compute-h module
1718 .  path - path (either absolute or relative) the library containing this solver
1719 .  name_create - name of routine to create method context
1720 -  routine_create - routine to create method context
1721 
1722    Level: developer
1723 
1724    Notes:
1725    MatMFFDRegisterDynamic() may be called multiple times to add several user-defined solvers.
1726 
1727    If dynamic libraries are used, then the fourth input argument (routine_create)
1728    is ignored.
1729 
1730    Sample usage:
1731 .vb
1732    MatMFFDRegisterDynamic("my_h",/home/username/my_lib/lib/libO/solaris/mylib.a,
1733                "MyHCreate",MyHCreate);
1734 .ve
1735 
1736    Then, your solver can be chosen with the procedural interface via
1737 $     MatMFFDSetType(mfctx,"my_h")
1738    or at runtime via the option
1739 $     -snes_mf_type my_h
1740 
1741 .keywords: MatMFFD, register
1742 
1743 .seealso: MatMFFDRegisterAll(), MatMFFDRegisterDestroy()
1744 M*/
1745 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
1746 #define MatMFFDRegisterDynamic(a,b,c,d) MatMFFDRegister(a,b,c,0)
1747 #else
1748 #define MatMFFDRegisterDynamic(a,b,c,d) MatMFFDRegister(a,b,c,d)
1749 #endif
1750 
1751 PETSC_EXTERN PetscErrorCode MatMFFDRegisterAll(const char[]);
1752 PETSC_EXTERN PetscErrorCode MatMFFDRegisterDestroy(void);
1753 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat,PetscReal);
1754 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat,PetscBool );
1755 
1756 
1757 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
1758 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
1759 
1760 /*
1761    PETSc interface to MUMPS
1762 */
1763 #ifdef PETSC_HAVE_MUMPS
1764 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat,PetscInt,PetscInt);
1765 #endif
1766 
1767 /*
1768    PETSc interface to SUPERLU
1769 */
1770 #ifdef PETSC_HAVE_SUPERLU
1771 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat,PetscReal);
1772 #endif
1773 
1774 #if defined(PETSC_HAVE_CUSP)
1775 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1776 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1777 #endif
1778 
1779 /*
1780    PETSc interface to FFTW
1781 */
1782 #if defined(PETSC_HAVE_FFTW)
1783 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat,Vec,Vec);
1784 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat,Vec,Vec);
1785 PETSC_EXTERN PetscErrorCode MatGetVecsFFTW(Mat,Vec*,Vec*,Vec*);
1786 #endif
1787 
1788 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm,PetscInt,const IS[],PetscInt,const IS[],const Mat[],Mat*);
1789 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat,PetscInt*,PetscInt*);
1790 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat,IS[],IS[]);
1791 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat,IS[],IS[]);
1792 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat,PetscInt*,PetscInt*,Mat***);
1793 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat,PetscInt,PetscInt,Mat*);
1794 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat,const VecType);
1795 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat,PetscInt,const IS[],PetscInt,const IS[],const Mat[]);
1796 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat,PetscInt,PetscInt,Mat);
1797 
1798 /*
1799  MatIJ:
1800  An unweighted directed pseudograph
1801  An interpretation of this matrix as a (pseudo)graph allows us to define additional operations on it:
1802  A MatIJ can act on sparse arrays: arrays of indices, or index arrays of integers, scalars, or integer-scalar pairs
1803  by mapping the indices to the indices connected to them by the (pseudo)graph ed
1804  */
1805 typedef enum {MATIJ_LOCAL, MATIJ_GLOBAL} MatIJIndexType;
1806 PETSC_EXTERN PetscErrorCode MatIJSetMultivalued(Mat, PetscBool);
1807 PETSC_EXTERN PetscErrorCode MatIJGetMultivalued(Mat, PetscBool*);
1808 PETSC_EXTERN PetscErrorCode MatIJSetEdges(Mat, PetscInt, const PetscInt*, const PetscInt*);
1809 PETSC_EXTERN PetscErrorCode MatIJGetEdges(Mat, PetscInt *, PetscInt **, PetscInt **);
1810 PETSC_EXTERN PetscErrorCode MatIJSetEdgesIS(Mat, IS, IS);
1811 PETSC_EXTERN PetscErrorCode MatIJGetEdgesIS(Mat, IS*, IS*);
1812 PETSC_EXTERN PetscErrorCode MatIJGetRowSizes(Mat, MatIJIndexType, PetscInt, const PetscInt *, PetscInt **);
1813 PETSC_EXTERN PetscErrorCode MatIJGetMinRowSize(Mat, PetscInt *);
1814 PETSC_EXTERN PetscErrorCode MatIJGetMaxRowSize(Mat, PetscInt *);
1815 PETSC_EXTERN PetscErrorCode MatIJGetSupport(Mat,  PetscInt *, PetscInt **);
1816 PETSC_EXTERN PetscErrorCode MatIJGetSupportIS(Mat, IS *);
1817 PETSC_EXTERN PetscErrorCode MatIJGetImage(Mat, PetscInt*, PetscInt**);
1818 PETSC_EXTERN PetscErrorCode MatIJGetImageIS(Mat, IS *);
1819 PETSC_EXTERN PetscErrorCode MatIJGetSupportSize(Mat, PetscInt *);
1820 PETSC_EXTERN PetscErrorCode MatIJGetImageSize(Mat, PetscInt *);
1821 
1822 PETSC_EXTERN PetscErrorCode MatIJBinRenumber(Mat, Mat*);
1823 
1824 PETSC_EXTERN PetscErrorCode MatIJMap(Mat, MatIJIndexType, PetscInt,const PetscInt*,const PetscInt*,const PetscScalar*, MatIJIndexType,PetscInt*,PetscInt**,PetscInt**,PetscScalar**,PetscInt**);
1825 PETSC_EXTERN PetscErrorCode MatIJBin(Mat, MatIJIndexType, PetscInt,const PetscInt*,const PetscInt*,const PetscScalar*,PetscInt*,PetscInt**,PetscInt**,PetscScalar**,PetscInt**);
1826 PETSC_EXTERN PetscErrorCode MatIJBinMap(Mat,Mat, MatIJIndexType,PetscInt,const PetscInt*,const PetscInt*,const PetscScalar*,MatIJIndexType,PetscInt*,PetscInt**,PetscInt**,PetscScalar**,PetscInt**);
1827 
1828 #endif
1829