xref: /petsc/include/petscmat.h (revision d95a91f4e987cd37014413f196bf9534980b2662)
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 MATELEMENTAL       "elemental"
53 #define MATBAIJ            "baij"
54 #define MATSEQBAIJ         "seqbaij"
55 #define MATMPIBAIJ         "mpibaij"
56 #define MATMPIADJ          "mpiadj"
57 #define MATSBAIJ           "sbaij"
58 #define MATSEQSBAIJ        "seqsbaij"
59 #define MATMPISBAIJ        "mpisbaij"
60 #define MATSEQBSTRM        "seqbstrm"
61 #define MATMPIBSTRM        "mpibstrm"
62 #define MATBSTRM           "bstrm"
63 #define MATSEQSBSTRM       "seqsbstrm"
64 #define MATMPISBSTRM       "mpisbstrm"
65 #define MATSBSTRM          "sbstrm"
66 #define MATDAAD            "daad"
67 #define MATMFFD            "mffd"
68 #define MATNORMAL          "normal"
69 #define MATLRC             "lrc"
70 #define MATSCATTER         "scatter"
71 #define MATBLOCKMAT        "blockmat"
72 #define MATCOMPOSITE       "composite"
73 #define MATFFT             "fft"
74 #define MATFFTW            "fftw"
75 #define MATSEQCUFFT        "seqcufft"
76 #define MATTRANSPOSEMAT    "transpose"
77 #define MATSCHURCOMPLEMENT "schurcomplement"
78 #define MATPYTHON          "python"
79 #define MATHYPRESTRUCT     "hyprestruct"
80 #define MATHYPRESSTRUCT    "hypresstruct"
81 #define MATSUBMATRIX       "submatrix"
82 #define MATLOCALREF        "localref"
83 #define MATNEST            "nest"
84 #define MATIJ              "ij"
85 
86 /*J
87     MatSolverPackage - String with the name of a PETSc matrix solver type.
88 
89     For example: "petsc" indicates what PETSc provides, "superlu" indicates either
90        SuperLU or SuperLU_Dist etc.
91 
92 
93    Level: beginner
94 
95 .seealso: MatGetFactor(), Mat, MatSetType(), MatType
96 J*/
97 #define MatSolverPackage char*
98 #define MATSOLVERSPOOLES      "spooles"
99 #define MATSOLVERSUPERLU      "superlu"
100 #define MATSOLVERSUPERLU_DIST "superlu_dist"
101 #define MATSOLVERUMFPACK      "umfpack"
102 #define MATSOLVERCHOLMOD      "cholmod"
103 #define MATSOLVERESSL         "essl"
104 #define MATSOLVERLUSOL        "lusol"
105 #define MATSOLVERMUMPS        "mumps"
106 #define MATSOLVERPASTIX       "pastix"
107 #define MATSOLVERMATLAB       "matlab"
108 #define MATSOLVERPETSC        "petsc"
109 #define MATSOLVERPLAPACK      "plapack"
110 #define MATSOLVERBAS          "bas"
111 
112 #define MATSOLVERBSTRM        "bstrm"
113 #define MATSOLVERSBSTRM       "sbstrm"
114 
115 /*E
116     MatFactorType - indicates what type of factorization is requested
117 
118     Level: beginner
119 
120    Any additions/changes here MUST also be made in include/finclude/petscmat.h
121 
122 .seealso: MatSolverPackage, MatGetFactor()
123 E*/
124 typedef enum {MAT_FACTOR_NONE, MAT_FACTOR_LU, MAT_FACTOR_CHOLESKY, MAT_FACTOR_ILU, MAT_FACTOR_ICC,MAT_FACTOR_ILUDT} MatFactorType;
125 PETSC_EXTERN const char *const MatFactorTypes[];
126 
127 PETSC_EXTERN PetscErrorCode MatGetFactor(Mat,const MatSolverPackage,MatFactorType,Mat*);
128 PETSC_EXTERN PetscErrorCode MatGetFactorAvailable(Mat,const MatSolverPackage,MatFactorType,PetscBool *);
129 PETSC_EXTERN PetscErrorCode MatFactorGetSolverPackage(Mat,const MatSolverPackage*);
130 PETSC_EXTERN PetscErrorCode MatGetFactorType(Mat,MatFactorType*);
131 
132 /* Logging support */
133 #define    MAT_FILE_CLASSID 1211216    /* used to indicate matrices in binary files */
134 PETSC_EXTERN PetscClassId MAT_CLASSID;
135 PETSC_EXTERN PetscClassId MAT_FDCOLORING_CLASSID;
136 PETSC_EXTERN PetscClassId MAT_TRANSPOSECOLORING_CLASSID;
137 PETSC_EXTERN PetscClassId MAT_PARTITIONING_CLASSID;
138 PETSC_EXTERN PetscClassId MAT_COARSEN_CLASSID;
139 PETSC_EXTERN PetscClassId MAT_NULLSPACE_CLASSID;
140 PETSC_EXTERN PetscClassId MATMFFD_CLASSID;
141 
142 /*E
143     MatReuse - Indicates if matrices obtained from a previous call to MatGetSubMatrices()
144      or MatGetSubMatrix() are to be reused to store the new matrix values. For MatConvert() is used to indicate
145      that the input matrix is to be replaced with the converted matrix.
146 
147     Level: beginner
148 
149    Any additions/changes here MUST also be made in include/finclude/petscmat.h
150 
151 .seealso: MatGetSubMatrices(), MatGetSubMatrix(), MatDestroyMatrices(), MatConvert()
152 E*/
153 typedef enum {MAT_INITIAL_MATRIX,MAT_REUSE_MATRIX,MAT_IGNORE_MATRIX} MatReuse;
154 
155 /*E
156     MatGetSubMatrixOption - Indicates if matrices obtained from a call to MatGetSubMatrices()
157      include the matrix values. Currently it is only used by MatGetSeqNonzerostructure().
158 
159     Level: beginner
160 
161 .seealso: MatGetSeqNonzerostructure()
162 E*/
163 typedef enum {MAT_DO_NOT_GET_VALUES,MAT_GET_VALUES} MatGetSubMatrixOption;
164 
165 PETSC_EXTERN PetscErrorCode MatInitializePackage(const char[]);
166 
167 PETSC_EXTERN PetscErrorCode MatCreate(MPI_Comm,Mat*);
168 PETSC_EXTERN PetscErrorCode MatSetSizes(Mat,PetscInt,PetscInt,PetscInt,PetscInt);
169 PETSC_EXTERN PetscErrorCode MatSetType(Mat,const MatType);
170 PETSC_EXTERN PetscErrorCode MatSetFromOptions(Mat);
171 PETSC_EXTERN PetscErrorCode MatRegisterAll(const char[]);
172 PETSC_EXTERN PetscErrorCode MatRegister(const char[],const char[],const char[],PetscErrorCode(*)(Mat));
173 PETSC_EXTERN PetscErrorCode MatRegisterBaseName(const char[],const char[],const char[]);
174 PETSC_EXTERN PetscErrorCode MatSetOptionsPrefix(Mat,const char[]);
175 PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefix(Mat,const char[]);
176 PETSC_EXTERN PetscErrorCode MatGetOptionsPrefix(Mat,const char*[]);
177 
178 /*MC
179    MatRegisterDynamic - Adds a new matrix type
180 
181    Synopsis:
182    PetscErrorCode MatRegisterDynamic(const char *name,const char *path,const char *name_create,PetscErrorCode (*routine_create)(Mat))
183 
184    Not Collective
185 
186    Input Parameters:
187 +  name - name of a new user-defined matrix type
188 .  path - path (either absolute or relative) the library containing this solver
189 .  name_create - name of routine to create method context
190 -  routine_create - routine to create method context
191 
192    Notes:
193    MatRegisterDynamic() may be called multiple times to add several user-defined solvers.
194 
195    If dynamic libraries are used, then the fourth input argument (routine_create)
196    is ignored.
197 
198    Sample usage:
199 .vb
200    MatRegisterDynamic("my_mat",/home/username/my_lib/lib/libO/solaris/mylib.a,
201                "MyMatCreate",MyMatCreate);
202 .ve
203 
204    Then, your solver can be chosen with the procedural interface via
205 $     MatSetType(Mat,"my_mat")
206    or at runtime via the option
207 $     -mat_type my_mat
208 
209    Level: advanced
210 
211    Notes: ${PETSC_ARCH} occuring in pathname will be replaced with appropriate values.
212          If your function is not being put into a shared library then use VecRegister() instead
213 
214 .keywords: Mat, register
215 
216 .seealso: MatRegisterAll(), MatRegisterDestroy()
217 
218 M*/
219 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
220 #define MatRegisterDynamic(a,b,c,d) MatRegister(a,b,c,0)
221 #else
222 #define MatRegisterDynamic(a,b,c,d) MatRegister(a,b,c,d)
223 #endif
224 
225 PETSC_EXTERN PetscBool MatRegisterAllCalled;
226 PETSC_EXTERN PetscFList MatList;
227 PETSC_EXTERN PetscFList MatColoringList;
228 PETSC_EXTERN PetscFList MatPartitioningList;
229 PETSC_EXTERN PetscFList MatCoarsenList;
230 
231 /*E
232     MatStructure - Indicates if the matrix has the same nonzero structure
233 
234     Level: beginner
235 
236    Any additions/changes here MUST also be made in include/finclude/petscmat.h
237 
238 .seealso: MatCopy(), KSPSetOperators(), PCSetOperators()
239 E*/
240 typedef enum {DIFFERENT_NONZERO_PATTERN,SUBSET_NONZERO_PATTERN,SAME_NONZERO_PATTERN,SAME_PRECONDITIONER} MatStructure;
241 
242 PETSC_EXTERN PetscErrorCode MatCreateSeqDense(MPI_Comm,PetscInt,PetscInt,PetscScalar[],Mat*);
243 PETSC_EXTERN PetscErrorCode MatCreateDense(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar[],Mat*);
244 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
245 PETSC_EXTERN PetscErrorCode MatCreateAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
246 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
247 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSplitArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],PetscInt[],PetscInt[],PetscScalar[],Mat*);
248 
249 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
250 PETSC_EXTERN PetscErrorCode MatCreateBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
251 PETSC_EXTERN PetscErrorCode MatCreateMPIBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat*);
252 
253 PETSC_EXTERN PetscErrorCode MatCreateMPIAdj(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscInt[],Mat*);
254 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
255 
256 PETSC_EXTERN PetscErrorCode MatCreateSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
257 PETSC_EXTERN PetscErrorCode MatCreateMPISBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
258 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
259 PETSC_EXTERN PetscErrorCode MatXAIJSetPreallocation(Mat,PetscInt,const PetscInt*,const PetscInt*,const PetscInt*,const PetscInt*);
260 
261 PETSC_EXTERN PetscErrorCode MatCreateShell(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,void *,Mat*);
262 PETSC_EXTERN PetscErrorCode MatCreateAdic(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,void (*)(void),Mat*);
263 PETSC_EXTERN PetscErrorCode MatCreateNormal(Mat,Mat*);
264 PETSC_EXTERN PetscErrorCode MatCreateLRC(Mat,Mat,Mat,Mat*);
265 PETSC_EXTERN PetscErrorCode MatCreateIS(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,ISLocalToGlobalMapping,Mat*);
266 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
267 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
268 
269 PETSC_EXTERN PetscErrorCode MatCreateSeqBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
270 PETSC_EXTERN PetscErrorCode MatCreateMPIBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
271 PETSC_EXTERN PetscErrorCode MatCreateSeqSBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
272 PETSC_EXTERN PetscErrorCode MatCreateMPISBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
273 
274 PETSC_EXTERN PetscErrorCode MatCreateScatter(MPI_Comm,VecScatter,Mat*);
275 PETSC_EXTERN PetscErrorCode MatScatterSetVecScatter(Mat,VecScatter);
276 PETSC_EXTERN PetscErrorCode MatScatterGetVecScatter(Mat,VecScatter*);
277 PETSC_EXTERN PetscErrorCode MatCreateBlockMat(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt*,Mat*);
278 PETSC_EXTERN PetscErrorCode MatCompositeAddMat(Mat,Mat);
279 PETSC_EXTERN PetscErrorCode MatCompositeMerge(Mat);
280 PETSC_EXTERN PetscErrorCode MatCreateComposite(MPI_Comm,PetscInt,const Mat*,Mat*);
281 typedef enum {MAT_COMPOSITE_ADDITIVE,MAT_COMPOSITE_MULTIPLICATIVE} MatCompositeType;
282 PETSC_EXTERN PetscErrorCode MatCompositeSetType(Mat,MatCompositeType);
283 
284 PETSC_EXTERN PetscErrorCode MatCreateFFT(MPI_Comm,PetscInt,const PetscInt[],const MatType,Mat*);
285 PETSC_EXTERN PetscErrorCode MatCreateSeqCUFFT(MPI_Comm,PetscInt,const PetscInt[],Mat*);
286 
287 PETSC_EXTERN PetscErrorCode MatCreateTranspose(Mat,Mat*);
288 PETSC_EXTERN PetscErrorCode MatCreateSubMatrix(Mat,IS,IS,Mat*);
289 PETSC_EXTERN PetscErrorCode MatSubMatrixUpdate(Mat,Mat,IS,IS);
290 PETSC_EXTERN PetscErrorCode MatCreateLocalRef(Mat,IS,IS,Mat*);
291 
292 PETSC_EXTERN PetscErrorCode MatPythonSetType(Mat,const char[]);
293 
294 PETSC_EXTERN PetscErrorCode MatSetUp(Mat);
295 PETSC_EXTERN PetscErrorCode MatDestroy(Mat*);
296 
297 PETSC_EXTERN PetscErrorCode MatConjugate(Mat);
298 PETSC_EXTERN PetscErrorCode MatRealPart(Mat);
299 PETSC_EXTERN PetscErrorCode MatImaginaryPart(Mat);
300 PETSC_EXTERN PetscErrorCode MatGetDiagonalBlock(Mat,Mat*);
301 PETSC_EXTERN PetscErrorCode MatGetTrace(Mat,PetscScalar*);
302 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonal(Mat,const PetscScalar **);
303 
304 /* ------------------------------------------------------------*/
305 PETSC_EXTERN PetscErrorCode MatSetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
306 PETSC_EXTERN PetscErrorCode MatSetValuesBlocked(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
307 PETSC_EXTERN PetscErrorCode MatSetValuesRow(Mat,PetscInt,const PetscScalar[]);
308 PETSC_EXTERN PetscErrorCode MatSetValuesRowLocal(Mat,PetscInt,const PetscScalar[]);
309 PETSC_EXTERN PetscErrorCode MatSetValuesBatch(Mat,PetscInt,PetscInt,PetscInt[],const PetscScalar[]);
310 
311 /*S
312      MatStencil - Data structure (C struct) for storing information about a single row or
313         column of a matrix as indexed on an associated grid.
314 
315    Fortran usage is different, see MatSetValuesStencil() for details.
316 
317    Level: beginner
318 
319   Concepts: matrix; linear operator
320 
321 .seealso:  MatSetValuesStencil(), MatSetStencil(), MatSetValuesBlockedStencil()
322 S*/
323 typedef struct {
324   PetscInt k,j,i,c;
325 } MatStencil;
326 
327 PETSC_EXTERN PetscErrorCode MatSetValuesStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
328 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
329 PETSC_EXTERN PetscErrorCode MatSetStencil(Mat,PetscInt,const PetscInt[],const PetscInt[],PetscInt);
330 
331 PETSC_EXTERN PetscErrorCode MatSetColoring(Mat,ISColoring);
332 PETSC_EXTERN PetscErrorCode MatSetValuesAdic(Mat,void*);
333 PETSC_EXTERN PetscErrorCode MatSetValuesAdifor(Mat,PetscInt,void*);
334 
335 /*E
336     MatAssemblyType - Indicates if the matrix is now to be used, or if you plan
337      to continue to add values to it
338 
339     Level: beginner
340 
341 .seealso: MatAssemblyBegin(), MatAssemblyEnd()
342 E*/
343 typedef enum {MAT_FLUSH_ASSEMBLY=1,MAT_FINAL_ASSEMBLY=0} MatAssemblyType;
344 PETSC_EXTERN PetscErrorCode MatAssemblyBegin(Mat,MatAssemblyType);
345 PETSC_EXTERN PetscErrorCode MatAssemblyEnd(Mat,MatAssemblyType);
346 PETSC_EXTERN PetscErrorCode MatAssembled(Mat,PetscBool *);
347 
348 
349 
350 /*E
351     MatOption - Options that may be set for a matrix and its behavior or storage
352 
353     Level: beginner
354 
355    Any additions/changes here MUST also be made in include/finclude/petscmat.h
356 
357 .seealso: MatSetOption()
358 E*/
359 typedef enum {MAT_ROW_ORIENTED,MAT_NEW_NONZERO_LOCATIONS,
360               MAT_SYMMETRIC,
361               MAT_STRUCTURALLY_SYMMETRIC,
362               MAT_NEW_DIAGONALS,MAT_IGNORE_OFF_PROC_ENTRIES,
363               MAT_NEW_NONZERO_LOCATION_ERR,
364               MAT_NEW_NONZERO_ALLOCATION_ERR,MAT_USE_HASH_TABLE,
365               MAT_KEEP_NONZERO_PATTERN,MAT_IGNORE_ZERO_ENTRIES,
366               MAT_USE_INODES,
367               MAT_HERMITIAN,
368               MAT_SYMMETRY_ETERNAL,
369               MAT_CHECK_COMPRESSED_ROW,
370               MAT_IGNORE_LOWER_TRIANGULAR,MAT_ERROR_LOWER_TRIANGULAR,
371               MAT_GETROW_UPPERTRIANGULAR,MAT_UNUSED_NONZERO_LOCATION_ERR,
372               MAT_SPD,MAT_NO_OFF_PROC_ENTRIES,MAT_NO_OFF_PROC_ZERO_ROWS,
373               NUM_MAT_OPTIONS} MatOption;
374 PETSC_EXTERN const char *MatOptions[];
375 PETSC_EXTERN PetscErrorCode MatSetOption(Mat,MatOption,PetscBool );
376 PETSC_EXTERN PetscErrorCode MatGetType(Mat,const MatType*);
377 
378 PETSC_EXTERN PetscErrorCode MatGetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar[]);
379 PETSC_EXTERN PetscErrorCode MatGetRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
380 PETSC_EXTERN PetscErrorCode MatRestoreRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
381 PETSC_EXTERN PetscErrorCode MatGetRowUpperTriangular(Mat);
382 PETSC_EXTERN PetscErrorCode MatRestoreRowUpperTriangular(Mat);
383 PETSC_EXTERN PetscErrorCode MatGetColumn(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
384 PETSC_EXTERN PetscErrorCode MatRestoreColumn(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
385 PETSC_EXTERN PetscErrorCode MatGetColumnVector(Mat,Vec,PetscInt);
386 PETSC_EXTERN PetscErrorCode MatGetArray(Mat,PetscScalar *[]);
387 PETSC_EXTERN PetscErrorCode MatRestoreArray(Mat,PetscScalar *[]);
388 PETSC_EXTERN PetscErrorCode MatGetBlockSize(Mat,PetscInt *);
389 PETSC_EXTERN PetscErrorCode MatSetBlockSize(Mat,PetscInt);
390 PETSC_EXTERN PetscErrorCode MatGetBlockSizes(Mat,PetscInt *,PetscInt *);
391 PETSC_EXTERN PetscErrorCode MatSetBlockSizes(Mat,PetscInt,PetscInt);
392 PETSC_EXTERN PetscErrorCode MatSetNThreads(Mat,PetscInt);
393 PETSC_EXTERN PetscErrorCode MatGetNThreads(Mat,PetscInt*);
394 
395 PETSC_EXTERN PetscErrorCode MatMult(Mat,Vec,Vec);
396 PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat,Vec,Vec);
397 PETSC_EXTERN PetscErrorCode MatMultAdd(Mat,Vec,Vec,Vec);
398 PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat,Vec,Vec);
399 PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat,Vec,Vec);
400 PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat,Mat,PetscReal,PetscBool *);
401 PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat,Mat,PetscReal,PetscBool *);
402 PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat,Vec,Vec,Vec);
403 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat,Vec,Vec,Vec);
404 PETSC_EXTERN PetscErrorCode MatMultConstrained(Mat,Vec,Vec);
405 PETSC_EXTERN PetscErrorCode MatMultTransposeConstrained(Mat,Vec,Vec);
406 PETSC_EXTERN PetscErrorCode MatMatSolve(Mat,Mat,Mat);
407 
408 /*E
409     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
410   its numerical values copied over or just its nonzero structure.
411 
412     Level: beginner
413 
414    Any additions/changes here MUST also be made in include/finclude/petscmat.h
415 
416 $   MAT_SHARE_NONZERO_PATTERN - the i and j arrays in the new matrix will be shared with the original matrix
417 $                               this also triggers the MAT_DO_NOT_COPY_VALUES option. This is used when you
418 $                               have several matrices with the same nonzero pattern.
419 
420 .seealso: MatDuplicate()
421 E*/
422 typedef enum {MAT_DO_NOT_COPY_VALUES,MAT_COPY_VALUES,MAT_SHARE_NONZERO_PATTERN} MatDuplicateOption;
423 
424 PETSC_EXTERN PetscErrorCode MatConvert(Mat,const MatType,MatReuse,Mat*);
425 PETSC_EXTERN PetscErrorCode MatDuplicate(Mat,MatDuplicateOption,Mat*);
426 
427 
428 PETSC_EXTERN PetscErrorCode MatCopy(Mat,Mat,MatStructure);
429 PETSC_EXTERN PetscErrorCode MatView(Mat,PetscViewer);
430 PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat,PetscReal,PetscBool *);
431 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat,PetscBool *);
432 PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat,PetscReal,PetscBool *);
433 PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat,PetscBool *,PetscBool *);
434 PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat,PetscBool *,PetscBool *);
435 PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat,PetscBool  *,PetscInt *);
436 PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);
437 
438 PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,PetscInt *[],PetscInt *[],PetscBool  *);
439 PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,PetscInt *[],PetscInt *[],PetscBool  *);
440 PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,PetscInt *[],PetscInt *[],PetscBool  *);
441 PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,PetscInt *[],PetscInt *[],PetscBool  *);
442 
443 /*S
444      MatInfo - Context of matrix information, used with MatGetInfo()
445 
446    In Fortran this is simply a double precision array of dimension MAT_INFO_SIZE
447 
448    Level: intermediate
449 
450   Concepts: matrix^nonzero information
451 
452 .seealso:  MatGetInfo(), MatInfoType
453 S*/
454 typedef struct {
455   PetscLogDouble block_size;                         /* block size */
456   PetscLogDouble nz_allocated,nz_used,nz_unneeded;   /* number of nonzeros */
457   PetscLogDouble memory;                             /* memory allocated */
458   PetscLogDouble assemblies;                         /* number of matrix assemblies called */
459   PetscLogDouble mallocs;                            /* number of mallocs during MatSetValues() */
460   PetscLogDouble fill_ratio_given,fill_ratio_needed; /* fill ratio for LU/ILU */
461   PetscLogDouble factor_mallocs;                     /* number of mallocs during factorization */
462 } MatInfo;
463 
464 /*E
465     MatInfoType - Indicates if you want information about the local part of the matrix,
466      the entire parallel matrix or the maximum over all the local parts.
467 
468     Level: beginner
469 
470    Any additions/changes here MUST also be made in include/finclude/petscmat.h
471 
472 .seealso: MatGetInfo(), MatInfo
473 E*/
474 typedef enum {MAT_LOCAL=1,MAT_GLOBAL_MAX=2,MAT_GLOBAL_SUM=3} MatInfoType;
475 PETSC_EXTERN PetscErrorCode MatGetInfo(Mat,MatInfoType,MatInfo*);
476 PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat,Vec);
477 PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat,Vec,PetscInt[]);
478 PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat,Vec,PetscInt[]);
479 PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat,Vec,PetscInt[]);
480 PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat,Vec,PetscInt[]);
481 PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat,Vec);
482 PETSC_EXTERN PetscErrorCode MatTranspose(Mat,MatReuse,Mat*);
483 PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat,MatReuse,Mat*);
484 PETSC_EXTERN PetscErrorCode MatPermute(Mat,IS,IS,Mat *);
485 PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat,Vec,Vec);
486 PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat,Vec,InsertMode);
487 PETSC_EXTERN PetscErrorCode MatEqual(Mat,Mat,PetscBool *);
488 PETSC_EXTERN PetscErrorCode MatMultEqual(Mat,Mat,PetscInt,PetscBool *);
489 PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat,Mat,PetscInt,PetscBool *);
490 PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat,Mat,PetscInt,PetscBool *);
491 PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat,Mat,PetscInt,PetscBool *);
492 
493 PETSC_EXTERN PetscErrorCode MatNorm(Mat,NormType,PetscReal *);
494 PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat,NormType,PetscReal *);
495 PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
496 PETSC_EXTERN PetscErrorCode MatZeroRows(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
497 PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat,IS,PetscScalar,Vec,Vec);
498 PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat,PetscInt,const MatStencil [],PetscScalar,Vec,Vec);
499 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat,PetscInt,const MatStencil[],PetscScalar,Vec,Vec);
500 PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
501 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat,IS,PetscScalar,Vec,Vec);
502 
503 PETSC_EXTERN PetscErrorCode MatGetSize(Mat,PetscInt*,PetscInt*);
504 PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat,PetscInt*,PetscInt*);
505 PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat,PetscInt*,PetscInt*);
506 PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat,const PetscInt**);
507 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat,PetscInt*,PetscInt*);
508 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat,const PetscInt**);
509 
510 PETSC_EXTERN PetscErrorCode MatGetSubMatrices(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
511 PETSC_EXTERN PetscErrorCode MatGetSubMatricesParallel(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
512 PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt,Mat *[]);
513 PETSC_EXTERN PetscErrorCode MatGetSubMatrix(Mat,IS,IS,MatReuse,Mat *);
514 PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat,IS,IS,Mat*);
515 PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat,IS,IS,Mat*);
516 PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat,Mat*);
517 PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat*);
518 
519 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJConcatenateSeqAIJ(MPI_Comm,Mat,PetscInt,MatReuse,Mat*);
520 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJConcatenateSeqAIJSymbolic(MPI_Comm,Mat,PetscInt,Mat*);
521 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJConcatenateSeqAIJNumeric(MPI_Comm,Mat,PetscInt,Mat);
522 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm,Mat,PetscInt,PetscInt,MatReuse,Mat*);
523 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm,Mat,PetscInt,PetscInt,Mat*);
524 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat,Mat);
525 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat,MatReuse,Mat*);
526 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat,MatReuse,IS*,IS*,Mat*);
527 PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat,Mat,MatReuse,IS*,IS*,Mat*);
528 #if defined (PETSC_USE_CTABLE)
529 PETSC_EXTERN PetscErrorCode MatGetCommunicationStructs(Mat, Vec *, PetscTable *, VecScatter *);
530 #else
531 PETSC_EXTERN PetscErrorCode MatGetCommunicationStructs(Mat, Vec *, PetscInt *[], VecScatter *);
532 #endif
533 PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *,const PetscInt *[]);
534 
535 PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat,PetscInt,IS[],PetscInt);
536 
537 PETSC_EXTERN PetscErrorCode MatMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
538 PETSC_EXTERN PetscErrorCode MatMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
539 PETSC_EXTERN PetscErrorCode MatMatMultNumeric(Mat,Mat,Mat);
540 
541 PETSC_EXTERN PetscErrorCode MatPtAP(Mat,Mat,MatReuse,PetscReal,Mat*);
542 PETSC_EXTERN PetscErrorCode MatPtAPSymbolic(Mat,Mat,PetscReal,Mat*);
543 PETSC_EXTERN PetscErrorCode MatPtAPNumeric(Mat,Mat,Mat);
544 PETSC_EXTERN PetscErrorCode MatRARt(Mat,Mat,MatReuse,PetscReal,Mat*);
545 PETSC_EXTERN PetscErrorCode MatRARtSymbolic(Mat,Mat,PetscReal,Mat*);
546 PETSC_EXTERN PetscErrorCode MatRARtNumeric(Mat,Mat,Mat);
547 
548 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
549 PETSC_EXTERN PetscErrorCode MatTransposetMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
550 PETSC_EXTERN PetscErrorCode MatTransposetMatMultNumeric(Mat,Mat,Mat);
551 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat,Mat,MatReuse,PetscReal,Mat*);
552 PETSC_EXTERN PetscErrorCode MatMatTransposeMultSymbolic(Mat,Mat,PetscReal,Mat*);
553 PETSC_EXTERN PetscErrorCode MatMatTransposeMultNumeric(Mat,Mat,Mat);
554 
555 PETSC_EXTERN PetscErrorCode MatAXPY(Mat,PetscScalar,Mat,MatStructure);
556 PETSC_EXTERN PetscErrorCode MatAYPX(Mat,PetscScalar,Mat,MatStructure);
557 
558 PETSC_EXTERN PetscErrorCode MatScale(Mat,PetscScalar);
559 PETSC_EXTERN PetscErrorCode MatShift(Mat,PetscScalar);
560 
561 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
562 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMappingBlock(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
563 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
564 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMappingBlock(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
565 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
566 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
567 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
568 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
569 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
570 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
571 
572 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat,PetscInt,PetscInt);
573 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat,PetscInt*,PetscInt*,PetscInt*,PetscInt*);
574 
575 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat,Vec,Vec);
576 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat,Vec,Vec,Vec);
577 PETSC_EXTERN PetscErrorCode MatRestrict(Mat,Vec,Vec);
578 PETSC_EXTERN PetscErrorCode MatGetVecs(Mat,Vec*,Vec*);
579 PETSC_EXTERN PetscErrorCode MatGetRedundantMatrix(Mat,PetscInt,MPI_Comm,PetscInt,MatReuse,Mat*);
580 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat,MPI_Comm,MatReuse,Mat*);
581 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat,IS*);
582 
583 /*MC
584    MatSetValue - Set a single entry into a matrix.
585 
586    Not collective
587 
588    Input Parameters:
589 +  m - the matrix
590 .  row - the row location of the entry
591 .  col - the column location of the entry
592 .  value - the value to insert
593 -  mode - either INSERT_VALUES or ADD_VALUES
594 
595    Notes:
596    For efficiency one should use MatSetValues() and set several or many
597    values simultaneously if possible.
598 
599    Level: beginner
600 
601 .seealso: MatSetValues(), MatSetValueLocal()
602 M*/
603 PETSC_STATIC_INLINE PetscErrorCode MatSetValue(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValues(v,1,&i,1,&j,&va,mode);}
604 
605 PETSC_STATIC_INLINE PetscErrorCode MatGetValue(Mat v,PetscInt i,PetscInt j,PetscScalar *va) {return MatGetValues(v,1,&i,1,&j,va);}
606 
607 PETSC_STATIC_INLINE PetscErrorCode MatSetValueLocal(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValuesLocal(v,1,&i,1,&j,&va,mode);}
608 
609 /*MC
610    MatPreallocateInitialize - Begins the block of code that will count the number of nonzeros per
611        row in a matrix providing the data that one can use to correctly preallocate the matrix.
612 
613    Synopsis:
614    PetscErrorCode MatPreallocateInitialize(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
615 
616    Collective on MPI_Comm
617 
618    Input Parameters:
619 +  comm - the communicator that will share the eventually allocated matrix
620 .  nrows - the number of LOCAL rows in the matrix
621 -  ncols - the number of LOCAL columns in the matrix
622 
623    Output Parameters:
624 +  dnz - the array that will be passed to the matrix preallocation routines
625 -  ozn - the other array passed to the matrix preallocation routines
626 
627 
628    Level: intermediate
629 
630    Notes:
631     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
632 
633    Do not malloc or free dnz and onz, that is handled internally by these routines
634 
635    Use MatPreallocateInitializeSymmetric() for symmetric matrices (MPISBAIJ matrices)
636 
637    This is a MACRO not a function because it has a leading { that is closed by PetscPreallocateFinalize().
638 
639   Concepts: preallocation^Matrix
640 
641 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateSetLocal(),
642           MatPreallocateInitializeSymmetric(), MatPreallocateSymmetricSetLocal()
643 M*/
644 #define MatPreallocateInitialize(comm,nrows,ncols,dnz,onz) 0; \
645 { \
646   PetscErrorCode _4_ierr; PetscInt __nrows = (nrows),__ctmp = (ncols),__rstart,__start,__end; \
647   _4_ierr = PetscMalloc2(__nrows,PetscInt,&dnz,__nrows,PetscInt,&onz);CHKERRQ(_4_ierr); \
648   _4_ierr = PetscMemzero(dnz,__nrows*sizeof(PetscInt));CHKERRQ(_4_ierr);\
649   _4_ierr = PetscMemzero(onz,__nrows*sizeof(PetscInt));CHKERRQ(_4_ierr); __start = 0; __end = __start; \
650   _4_ierr = MPI_Scan(&__ctmp,&__end,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __start = __end - __ctmp;\
651   _4_ierr = MPI_Scan(&__nrows,&__rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __nrows;
652 
653 /*MC
654    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
655        inserted using a local number of the rows and columns
656 
657    Synopsis:
658    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
659 
660    Not Collective
661 
662    Input Parameters:
663 +  map - the row mapping from local numbering to global numbering
664 .  nrows - the number of rows indicated
665 .  rows - the indices of the rows
666 .  cmap - the column mapping from local to global numbering
667 .  ncols - the number of columns in the matrix
668 .  cols - the columns indicated
669 .  dnz - the array that will be passed to the matrix preallocation routines
670 -  ozn - the other array passed to the matrix preallocation routines
671 
672 
673    Level: intermediate
674 
675    Notes:
676     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
677 
678    Do not malloc or free dnz and onz, that is handled internally by these routines
679 
680   Concepts: preallocation^Matrix
681 
682 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
683           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal()
684 M*/
685 #define MatPreallocateSetLocal(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
686 {\
687   PetscInt __l;\
688   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
689   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
690   for (__l=0;__l<nrows;__l++) {\
691     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
692   }\
693 }
694 
695 /*MC
696    MatPreallocateSymmetricSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
697        inserted using a local number of the rows and columns
698 
699    Synopsis:
700    PetscErrorCode MatPreallocateSymmetricSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
701 
702    Not Collective
703 
704    Input Parameters:
705 +  map - the mapping between local numbering and global numbering
706 .  nrows - the number of rows indicated
707 .  rows - the indices of the rows
708 .  ncols - the number of columns in the matrix
709 .  cols - the columns indicated
710 .  dnz - the array that will be passed to the matrix preallocation routines
711 -  ozn - the other array passed to the matrix preallocation routines
712 
713 
714    Level: intermediate
715 
716    Notes:
717     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
718 
719    Do not malloc or free dnz and onz that is handled internally by these routines
720 
721   Concepts: preallocation^Matrix
722 
723 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
724           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal(), MatPreallocateSetLocal()
725 M*/
726 #define MatPreallocateSymmetricSetLocal(map,nrows,rows,ncols,cols,dnz,onz) 0;\
727 {\
728   PetscInt __l;\
729   _4_ierr = ISLocalToGlobalMappingApply(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
730   _4_ierr = ISLocalToGlobalMappingApply(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
731   for (__l=0;__l<nrows;__l++) {\
732     _4_ierr = MatPreallocateSymmetricSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
733   }\
734 }
735 
736 /*MC
737    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
738        inserted using a local number of the rows and columns
739 
740    Synopsis:
741    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
742 
743    Not Collective
744 
745    Input Parameters:
746 +  row - the row
747 .  ncols - the number of columns in the matrix
748 -  cols - the columns indicated
749 
750    Output Parameters:
751 +  dnz - the array that will be passed to the matrix preallocation routines
752 -  ozn - the other array passed to the matrix preallocation routines
753 
754 
755    Level: intermediate
756 
757    Notes:
758     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
759 
760    Do not malloc or free dnz and onz that is handled internally by these routines
761 
762    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
763 
764   Concepts: preallocation^Matrix
765 
766 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
767           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal(), MatPreallocateSetLocal()
768 M*/
769 #define MatPreallocateSet(row,nc,cols,dnz,onz) 0;\
770 { PetscInt __i; \
771   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);\
772   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);\
773   for (__i=0; __i<nc; __i++) {\
774     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
775     else dnz[row - __rstart]++;\
776   }\
777 }
778 
779 /*MC
780    MatPreallocateSymmetricSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
781        inserted using a local number of the rows and columns
782 
783    Synopsis:
784    PetscErrorCode MatPreallocateSymmetricSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
785 
786    Not Collective
787 
788    Input Parameters:
789 +  nrows - the number of rows indicated
790 .  rows - the indices of the rows
791 .  ncols - the number of columns in the matrix
792 .  cols - the columns indicated
793 .  dnz - the array that will be passed to the matrix preallocation routines
794 -  ozn - the other array passed to the matrix preallocation routines
795 
796 
797    Level: intermediate
798 
799    Notes:
800     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
801 
802    Do not malloc or free dnz and onz that is handled internally by these routines
803 
804    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
805 
806   Concepts: preallocation^Matrix
807 
808 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
809           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal(), MatPreallocateSetLocal()
810 M*/
811 #define MatPreallocateSymmetricSet(row,nc,cols,dnz,onz) 0;\
812 { PetscInt __i; \
813   for (__i=0; __i<nc; __i++) {\
814     if (cols[__i] >= __end) onz[row - __rstart]++; \
815     else if (cols[__i] >= row) dnz[row - __rstart]++;\
816   }\
817 }
818 
819 /*MC
820    MatPreallocateLocation -  An alternative to MatPreallocationSet() that puts the nonzero locations into the matrix if it exists
821 
822    Synopsis:
823    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
824 
825    Not Collective
826 
827    Input Parameters:
828 .  A - matrix
829 .  row - row where values exist (must be local to this process)
830 .  ncols - number of columns
831 .  cols - columns with nonzeros
832 .  dnz - the array that will be passed to the matrix preallocation routines
833 -  ozn - the other array passed to the matrix preallocation routines
834 
835 
836    Level: intermediate
837 
838    Notes:
839     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
840 
841    Do not malloc or free dnz and onz that is handled internally by these routines
842 
843    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
844 
845   Concepts: preallocation^Matrix
846 
847 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateSetLocal(),
848           MatPreallocateSymmetricSetLocal()
849 M*/
850 #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);}
851 
852 
853 /*MC
854    MatPreallocateFinalize - Ends the block of code that will count the number of nonzeros per
855        row in a matrix providing the data that one can use to correctly preallocate the matrix.
856 
857    Synopsis:
858    PetscErrorCode MatPreallocateFinalize(PetscInt *dnz, PetscInt *onz)
859 
860    Collective on MPI_Comm
861 
862    Input Parameters:
863 +  dnz - the array that was be passed to the matrix preallocation routines
864 -  ozn - the other array passed to the matrix preallocation routines
865 
866 
867    Level: intermediate
868 
869    Notes:
870     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
871 
872    Do not malloc or free dnz and onz that is handled internally by these routines
873 
874    This is a MACRO not a function because it closes the { started in MatPreallocateInitialize().
875 
876   Concepts: preallocation^Matrix
877 
878 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateSetLocal(),
879           MatPreallocateSymmetricSetLocal()
880 M*/
881 #define MatPreallocateFinalize(dnz,onz) 0;_4_ierr = PetscFree2(dnz,onz);CHKERRQ(_4_ierr);}
882 
883 
884 
885 /* Routines unique to particular data structures */
886 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat,void *);
887 
888 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat,IS*,IS*);
889 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat,PetscInt *,PetscInt *[],PetscInt *);
890 
891 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat,PetscInt[]);
892 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat,PetscInt[]);
893 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
894 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
895 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
896 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*,PetscInt,PetscBool);
897 
898 #define MAT_SKIP_ALLOCATION -4
899 
900 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
901 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
902 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat,PetscInt,const PetscInt[]);
903 
904 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
905 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
906 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
907 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat,const PetscInt [],const PetscInt [],const PetscScalar []);
908 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
909 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]);
910 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
911 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat,PetscInt[],PetscInt[],PetscInt[]);
912 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
913 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
914 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,PetscInt*[]);
915 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,PetscInt*[]);
916 PETSC_EXTERN PetscErrorCode MatAdicSetLocalFunction(Mat,void (*)(void));
917 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat,Mat*);
918 
919 PETSC_EXTERN PetscErrorCode MatSeqDenseSetLDA(Mat,PetscInt);
920 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat,Mat*);
921 
922 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
923 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
924 
925 PETSC_EXTERN PetscErrorCode MatDAADSetCtx(Mat,void*);
926 
927 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat,IS*);
928 /*
929   These routines are not usually accessed directly, rather solving is
930   done through the KSP and PC interfaces.
931 */
932 
933 /*J
934     MatOrderingType - String with the name of a PETSc matrix ordering or the creation function
935        with an optional dynamic library name, for example
936        http://www.mcs.anl.gov/petsc/lib.a:orderingcreate()
937 
938    Level: beginner
939 
940    Cannot use const because the PC objects manipulate the string
941 
942 .seealso: MatGetOrdering()
943 J*/
944 #define MatOrderingType char*
945 #define MATORDERINGNATURAL     "natural"
946 #define MATORDERINGND          "nd"
947 #define MATORDERING1WD         "1wd"
948 #define MATORDERINGRCM         "rcm"
949 #define MATORDERINGQMD         "qmd"
950 #define MATORDERINGROWLENGTH   "rowlength"
951 #define MATORDERINGAMD         "amd"            /* only works if UMFPACK is installed with PETSc */
952 
953 PETSC_EXTERN PetscErrorCode MatGetOrdering(Mat,const MatOrderingType,IS*,IS*);
954 PETSC_EXTERN PetscErrorCode MatGetOrderingList(PetscFList *list);
955 PETSC_EXTERN PetscErrorCode MatOrderingRegister(const char[],const char[],const char[],PetscErrorCode(*)(Mat,const MatOrderingType,IS*,IS*));
956 
957 /*MC
958    MatOrderingRegisterDynamic - Adds a new sparse matrix ordering to the matrix package.
959 
960    Synopsis:
961    PetscErrorCode MatOrderingRegisterDynamic(const char *name_ordering,const char *path,const char *name_create,PetscErrorCode (*routine_create)(MatOrdering))
962 
963    Not Collective
964 
965    Input Parameters:
966 +  sname - name of ordering (for example MATORDERINGND)
967 .  path - location of library where creation routine is
968 .  name - name of function that creates the ordering type,a string
969 -  function - function pointer that creates the ordering
970 
971    Level: developer
972 
973    If dynamic libraries are used, then the fourth input argument (function)
974    is ignored.
975 
976    Sample usage:
977 .vb
978    MatOrderingRegisterDynamic("my_order",/home/username/my_lib/lib/libO/solaris/mylib.a,
979                "MyOrder",MyOrder);
980 .ve
981 
982    Then, your partitioner can be chosen with the procedural interface via
983 $     MatOrderingSetType(part,"my_order)
984    or at runtime via the option
985 $     -pc_factor_mat_ordering_type my_order
986 
987    ${PETSC_ARCH} occuring in pathname will be replaced with appropriate values.
988 
989 .keywords: matrix, ordering, register
990 
991 .seealso: MatOrderingRegisterDestroy(), MatOrderingRegisterAll()
992 M*/
993 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
994 #define MatOrderingRegisterDynamic(a,b,c,d) MatOrderingRegister(a,b,c,0)
995 #else
996 #define MatOrderingRegisterDynamic(a,b,c,d) MatOrderingRegister(a,b,c,d)
997 #endif
998 
999 PETSC_EXTERN PetscErrorCode MatOrderingRegisterDestroy(void);
1000 PETSC_EXTERN PetscErrorCode MatOrderingRegisterAll(const char[]);
1001 PETSC_EXTERN PetscBool MatOrderingRegisterAllCalled;
1002 PETSC_EXTERN PetscFList MatOrderingList;
1003 
1004 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
1005 
1006 /*S
1007     MatFactorShiftType - Numeric Shift.
1008 
1009    Level: beginner
1010 
1011 S*/
1012 typedef enum {MAT_SHIFT_NONE,MAT_SHIFT_NONZERO,MAT_SHIFT_POSITIVE_DEFINITE,MAT_SHIFT_INBLOCKS} MatFactorShiftType;
1013 PETSC_EXTERN const char *MatFactorShiftTypes[];
1014 
1015 /*S
1016    MatFactorInfo - Data passed into the matrix factorization routines
1017 
1018    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE, that is use
1019 $     MatFactorInfo  info(MAT_FACTORINFO_SIZE)
1020 
1021    Notes: These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
1022 
1023       You can use MatFactorInfoInitialize() to set default values.
1024 
1025    Level: developer
1026 
1027 .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor(),
1028           MatFactorInfoInitialize()
1029 
1030 S*/
1031 typedef struct {
1032   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
1033   PetscReal     usedt;
1034   PetscReal     dt;             /* drop tolerance */
1035   PetscReal     dtcol;          /* tolerance for pivoting */
1036   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
1037   PetscReal     fill;           /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1038   PetscReal     levels;         /* ICC/ILU(levels) */
1039   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1040                                    factorization may be faster if do not pivot */
1041   PetscReal     zeropivot;      /* pivot is called zero if less than this */
1042   PetscReal     shifttype;      /* type of shift added to matrix factor to prevent zero pivots */
1043   PetscReal     shiftamount;     /* how large the shift is */
1044 } MatFactorInfo;
1045 
1046 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo*);
1047 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat,IS,const MatFactorInfo*);
1048 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1049 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat,Mat,const MatFactorInfo*);
1050 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat,IS,IS,const MatFactorInfo*);
1051 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat,IS,IS,const MatFactorInfo*);
1052 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1053 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1054 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1055 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat,IS,const MatFactorInfo*);
1056 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat,Mat,const MatFactorInfo*);
1057 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat,PetscInt*,PetscInt*,PetscInt*);
1058 PETSC_EXTERN PetscErrorCode MatSolve(Mat,Vec,Vec);
1059 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat,Vec,Vec);
1060 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat,Vec,Vec);
1061 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat,Vec,Vec,Vec);
1062 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat,Vec,Vec);
1063 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
1064 PETSC_EXTERN PetscErrorCode MatSolves(Mat,Vecs,Vecs);
1065 
1066 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
1067 
1068 /*E
1069     MatSORType - What type of (S)SOR to perform
1070 
1071     Level: beginner
1072 
1073    May be bitwise ORd together
1074 
1075    Any additions/changes here MUST also be made in include/finclude/petscmat.h
1076 
1077    MatSORType may be bitwise ORd together, so do not change the numbers
1078 
1079 .seealso: MatSOR()
1080 E*/
1081 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
1082               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
1083               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
1084               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
1085 PETSC_EXTERN PetscErrorCode MatSOR(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
1086 
1087 /*
1088     These routines are for efficiently computing Jacobians via finite differences.
1089 */
1090 
1091 /*J
1092     MatColoringType - String with the name of a PETSc matrix coloring or the creation function
1093        with an optional dynamic library name, for example
1094        http://www.mcs.anl.gov/petsc/lib.a:coloringcreate()
1095 
1096    Level: beginner
1097 
1098 .seealso: MatGetColoring()
1099 J*/
1100 #define MatColoringType char*
1101 #define MATCOLORINGNATURAL "natural"
1102 #define MATCOLORINGSL      "sl"
1103 #define MATCOLORINGLF      "lf"
1104 #define MATCOLORINGID      "id"
1105 
1106 PETSC_EXTERN PetscErrorCode MatGetColoring(Mat,const MatColoringType,ISColoring*);
1107 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[],const char[],const char[],PetscErrorCode(*)(Mat,MatColoringType,ISColoring *));
1108 
1109 /*MC
1110    MatColoringRegisterDynamic - Adds a new sparse matrix coloring to the
1111                                matrix package.
1112 
1113    Synopsis:
1114    PetscErrorCode MatColoringRegisterDynamic(const char *name_coloring,const char *path,const char *name_create,PetscErrorCode (*routine_create)(MatColoring))
1115 
1116    Not Collective
1117 
1118    Input Parameters:
1119 +  sname - name of Coloring (for example MATCOLORINGSL)
1120 .  path - location of library where creation routine is
1121 .  name - name of function that creates the Coloring type, a string
1122 -  function - function pointer that creates the coloring
1123 
1124    Level: developer
1125 
1126    If dynamic libraries are used, then the fourth input argument (function)
1127    is ignored.
1128 
1129    Sample usage:
1130 .vb
1131    MatColoringRegisterDynamic("my_color",/home/username/my_lib/lib/libO/solaris/mylib.a,
1132                "MyColor",MyColor);
1133 .ve
1134 
1135    Then, your partitioner can be chosen with the procedural interface via
1136 $     MatColoringSetType(part,"my_color")
1137    or at runtime via the option
1138 $     -mat_coloring_type my_color
1139 
1140    $PETSC_ARCH occuring in pathname will be replaced with appropriate values.
1141 
1142 .keywords: matrix, Coloring, register
1143 
1144 .seealso: MatColoringRegisterDestroy(), MatColoringRegisterAll()
1145 M*/
1146 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
1147 #define MatColoringRegisterDynamic(a,b,c,d) MatColoringRegister(a,b,c,0)
1148 #else
1149 #define MatColoringRegisterDynamic(a,b,c,d) MatColoringRegister(a,b,c,d)
1150 #endif
1151 
1152 PETSC_EXTERN PetscBool MatColoringRegisterAllCalled;
1153 
1154 PETSC_EXTERN PetscErrorCode MatColoringRegisterAll(const char[]);
1155 PETSC_EXTERN PetscErrorCode MatColoringRegisterDestroy(void);
1156 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat,PetscInt,PetscInt,ISColoringValue[],ISColoring*);
1157 
1158 /*S
1159      MatFDColoring - Object for computing a sparse Jacobian via finite differences
1160         and coloring
1161 
1162    Level: beginner
1163 
1164   Concepts: coloring, sparse Jacobian, finite differences
1165 
1166 .seealso:  MatFDColoringCreate()
1167 S*/
1168 typedef struct _p_MatFDColoring* MatFDColoring;
1169 
1170 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
1171 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring*);
1172 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring,PetscViewer);
1173 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring,PetscErrorCode (*)(void),void*);
1174 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring,PetscErrorCode (**)(void),void**);
1175 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
1176 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1177 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat,MatFDColoring,Vec,MatStructure*,void *);
1178 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring,Vec);
1179 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring,PetscInt*,PetscInt*[]);
1180 
1181 /*S
1182      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring
1183 
1184    Level: beginner
1185 
1186   Concepts: coloring, sparse matrix product
1187 
1188 .seealso:  MatTransposeColoringCreate()
1189 S*/
1190 typedef struct _p_MatTransposeColoring* MatTransposeColoring;
1191 
1192 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat,ISColoring,MatTransposeColoring *);
1193 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring,Mat,Mat);
1194 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring,Mat,Mat);
1195 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring*);
1196 
1197 /*
1198     These routines are for partitioning matrices: currently used only
1199   for adjacency matrix, MatCreateMPIAdj().
1200 */
1201 
1202 /*S
1203      MatPartitioning - Object for managing the partitioning of a matrix or graph
1204 
1205    Level: beginner
1206 
1207   Concepts: partitioning
1208 
1209 .seealso:  MatPartitioningCreate(), MatPartitioningType
1210 S*/
1211 typedef struct _p_MatPartitioning* MatPartitioning;
1212 
1213 /*J
1214     MatPartitioningType - String with the name of a PETSc matrix partitioning or the creation function
1215        with an optional dynamic library name, for example
1216        http://www.mcs.anl.gov/petsc/lib.a:partitioningcreate()
1217 
1218    Level: beginner
1219 dm
1220 .seealso: MatPartitioningCreate(), MatPartitioning
1221 J*/
1222 #define MatPartitioningType char*
1223 #define MATPARTITIONINGCURRENT  "current"
1224 #define MATPARTITIONINGSQUARE   "square"
1225 #define MATPARTITIONINGPARMETIS "parmetis"
1226 #define MATPARTITIONINGCHACO    "chaco"
1227 #define MATPARTITIONINGPARTY    "party"
1228 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1229 
1230 
1231 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1232 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning,const MatPartitioningType);
1233 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning,PetscInt);
1234 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning,Mat);
1235 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning,const PetscInt[]);
1236 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1237 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning,IS*);
1238 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning*);
1239 
1240 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[],const char[],const char[],PetscErrorCode (*)(MatPartitioning));
1241 
1242 /*MC
1243    MatPartitioningRegisterDynamic - Adds a new sparse matrix partitioning to the
1244    matrix package.
1245 
1246    Synopsis:
1247    PetscErrorCode MatPartitioningRegisterDynamic(const char *name_partitioning,const char *path,const char *name_create,PetscErrorCode (*routine_create)(MatPartitioning))
1248 
1249    Not Collective
1250 
1251    Input Parameters:
1252 +  sname - name of partitioning (for example MATPARTITIONINGCURRENT) or parmetis
1253 .  path - location of library where creation routine is
1254 .  name - name of function that creates the partitioning type, a string
1255 -  function - function pointer that creates the partitioning type
1256 
1257    Level: developer
1258 
1259    If dynamic libraries are used, then the fourth input argument (function)
1260    is ignored.
1261 
1262    Sample usage:
1263 .vb
1264    MatPartitioningRegisterDynamic("my_part",/home/username/my_lib/lib/libO/solaris/mylib.a,
1265                "MyPartCreate",MyPartCreate);
1266 .ve
1267 
1268    Then, your partitioner can be chosen with the procedural interface via
1269 $     MatPartitioningSetType(part,"my_part")
1270    or at runtime via the option
1271 $     -mat_partitioning_type my_part
1272 
1273    $PETSC_ARCH occuring in pathname will be replaced with appropriate values.
1274 
1275 .keywords: matrix, partitioning, register
1276 
1277 .seealso: MatPartitioningRegisterDestroy(), MatPartitioningRegisterAll()
1278 M*/
1279 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
1280 #define MatPartitioningRegisterDynamic(a,b,c,d) MatPartitioningRegister(a,b,c,0)
1281 #else
1282 #define MatPartitioningRegisterDynamic(a,b,c,d) MatPartitioningRegister(a,b,c,d)
1283 #endif
1284 
1285 PETSC_EXTERN PetscBool MatPartitioningRegisterAllCalled;
1286 
1287 PETSC_EXTERN PetscErrorCode MatPartitioningRegisterAll(const char[]);
1288 PETSC_EXTERN PetscErrorCode MatPartitioningRegisterDestroy(void);
1289 
1290 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning,PetscViewer);
1291 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1292 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning,const MatPartitioningType*);
1293 
1294 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1295 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1296 
1297 typedef enum { MP_CHACO_MULTILEVEL=1,MP_CHACO_SPECTRAL=2,MP_CHACO_LINEAR=4,MP_CHACO_RANDOM=5,MP_CHACO_SCATTERED=6 } MPChacoGlobalType;
1298 PETSC_EXTERN const char *MPChacoGlobalTypes[];
1299 typedef enum { MP_CHACO_KERNIGHAN=1,MP_CHACO_NONE=2 } MPChacoLocalType;
1300 PETSC_EXTERN const char *MPChacoLocalTypes[];
1301 typedef enum { MP_CHACO_LANCZOS=0,MP_CHACO_RQI=1 } MPChacoEigenType;
1302 PETSC_EXTERN const char *MPChacoEigenTypes[];
1303 
1304 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning,MPChacoGlobalType);
1305 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning,MPChacoGlobalType*);
1306 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning,MPChacoLocalType);
1307 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning,MPChacoLocalType*);
1308 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning,PetscReal);
1309 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning,MPChacoEigenType);
1310 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning,MPChacoEigenType*);
1311 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning,PetscReal);
1312 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning,PetscReal*);
1313 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning,PetscInt);
1314 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning,PetscInt*);
1315 
1316 #define MP_PARTY_OPT "opt"
1317 #define MP_PARTY_LIN "lin"
1318 #define MP_PARTY_SCA "sca"
1319 #define MP_PARTY_RAN "ran"
1320 #define MP_PARTY_GBF "gbf"
1321 #define MP_PARTY_GCF "gcf"
1322 #define MP_PARTY_BUB "bub"
1323 #define MP_PARTY_DEF "def"
1324 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning,const char*);
1325 #define MP_PARTY_HELPFUL_SETS "hs"
1326 #define MP_PARTY_KERNIGHAN_LIN "kl"
1327 #define MP_PARTY_NONE "no"
1328 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning,const char*);
1329 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning,PetscReal);
1330 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning,PetscBool);
1331 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning,PetscBool);
1332 
1333 typedef enum { MP_PTSCOTCH_QUALITY,MP_PTSCOTCH_SPEED,MP_PTSCOTCH_BALANCE,MP_PTSCOTCH_SAFETY,MP_PTSCOTCH_SCALABILITY } MPPTScotchStrategyType;
1334 PETSC_EXTERN const char *MPPTScotchStrategyTypes[];
1335 
1336 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning,PetscReal);
1337 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning,PetscReal*);
1338 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning,MPPTScotchStrategyType);
1339 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning,MPPTScotchStrategyType*);
1340 
1341 /*
1342     These routines are for coarsening matrices:
1343 */
1344 
1345 /*S
1346      MatCoarsen - Object for managing the coarsening of a graph (symmetric matrix)
1347 
1348    Level: beginner
1349 
1350   Concepts: coarsen
1351 
1352 .seealso:  MatCoarsenCreate), MatCoarsenType
1353 S*/
1354 typedef struct _p_MatCoarsen* MatCoarsen;
1355 
1356 /*J
1357     MatCoarsenType - String with the name of a PETSc matrix coarsen or the creation function
1358        with an optional dynamic library name, for example
1359        http://www.mcs.anl.gov/petsc/lib.a:coarsencreate()
1360 
1361    Level: beginner
1362 dm
1363 .seealso: MatCoarsenCreate(), MatCoarsen
1364 J*/
1365 #define MatCoarsenType char*
1366 #define MATCOARSENMIS  "mis"
1367 #define MATCOARSENHEM  "hem"
1368 
1369 /* linked list for aggregates */
1370 typedef struct _PetscCDIntNd{
1371   struct _PetscCDIntNd *next;
1372   PetscInt   gid;
1373 }PetscCDIntNd;
1374 
1375 /* only used by node pool */
1376 typedef struct _PetscCDArrNd{
1377   struct _PetscCDArrNd *next;
1378   struct _PetscCDIntNd *array;
1379 }PetscCDArrNd;
1380 
1381 typedef struct _PetscCoarsenData{
1382   /* node pool */
1383   PetscCDArrNd  pool_list;
1384   PetscCDIntNd *new_node;
1385   PetscInt   new_left;
1386   PetscInt   chk_sz;
1387   PetscCDIntNd *extra_nodes;
1388   /* Array of lists */
1389   PetscCDIntNd **array;
1390   PetscInt size;
1391   /* cache a Mat for communication data */
1392   Mat mat;
1393   /* cache IS of removed equations */
1394   IS removedIS;
1395 }PetscCoarsenData;
1396 
1397 PETSC_EXTERN PetscErrorCode MatCoarsenCreate(MPI_Comm,MatCoarsen*);
1398 PETSC_EXTERN PetscErrorCode MatCoarsenSetType(MatCoarsen,const MatCoarsenType);
1399 PETSC_EXTERN PetscErrorCode MatCoarsenSetAdjacency(MatCoarsen,Mat);
1400 PETSC_EXTERN PetscErrorCode MatCoarsenSetGreedyOrdering(MatCoarsen,const IS);
1401 PETSC_EXTERN PetscErrorCode MatCoarsenSetStrictAggs(MatCoarsen,PetscBool);
1402 PETSC_EXTERN PetscErrorCode MatCoarsenSetVerbose(MatCoarsen,PetscInt);
1403 PETSC_EXTERN PetscErrorCode MatCoarsenGetData( MatCoarsen, PetscCoarsenData ** );
1404 PETSC_EXTERN PetscErrorCode MatCoarsenApply(MatCoarsen);
1405 PETSC_EXTERN PetscErrorCode MatCoarsenDestroy(MatCoarsen*);
1406 
1407 PETSC_EXTERN PetscErrorCode MatCoarsenRegister(const char[],const char[],const char[],PetscErrorCode (*)(MatCoarsen));
1408 
1409 /*MC
1410    MatCoarsenRegisterDynamic - Adds a new sparse matrix coarsen to the
1411    matrix package.
1412 
1413    Synopsis:
1414    PetscErrorCode MatCoarsenRegisterDynamic(const char *name_coarsen,const char *path,const char *name_create,PetscErrorCode (*routine_create)(MatCoarsen))
1415 
1416    Not Collective
1417 
1418    Input Parameters:
1419 +  sname - name of coarsen (for example MATCOARSENMIS)
1420 .  path - location of library where creation routine is
1421 .  name - name of function that creates the coarsen type, a string
1422 -  function - function pointer that creates the coarsen type
1423 
1424    Level: developer
1425 
1426    If dynamic libraries are used, then the fourth input argument (function)
1427    is ignored.
1428 
1429    Sample usage:
1430 .vb
1431    MatCoarsenRegisterDynamic("my_agg",/home/username/my_lib/lib/libO/solaris/mylib.a,
1432                "MyAggCreate",MyAggCreate);
1433 .ve
1434 
1435    Then, your aggregator can be chosen with the procedural interface via
1436 $     MatCoarsenSetType(agg,"my_agg")
1437    or at runtime via the option
1438 $     -mat_coarsen_type my_agg
1439 
1440    $PETSC_ARCH occuring in pathname will be replaced with appropriate values.
1441 
1442 .keywords: matrix, coarsen, register
1443 
1444 .seealso: MatCoarsenRegisterDestroy(), MatCoarsenRegisterAll()
1445 M*/
1446 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
1447 #define MatCoarsenRegisterDynamic(a,b,c,d) MatCoarsenRegister(a,b,c,0)
1448 #else
1449 #define MatCoarsenRegisterDynamic(a,b,c,d) MatCoarsenRegister(a,b,c,d)
1450 #endif
1451 
1452 PETSC_EXTERN PetscBool MatCoarsenRegisterAllCalled;
1453 
1454 PETSC_EXTERN PetscErrorCode MatCoarsenRegisterAll(const char[]);
1455 PETSC_EXTERN PetscErrorCode MatCoarsenRegisterDestroy(void);
1456 
1457 PETSC_EXTERN PetscErrorCode MatCoarsenView(MatCoarsen,PetscViewer);
1458 PETSC_EXTERN PetscErrorCode MatCoarsenSetFromOptions(MatCoarsen);
1459 PETSC_EXTERN PetscErrorCode MatCoarsenGetType(MatCoarsen,const MatCoarsenType*);
1460 
1461 
1462 PETSC_EXTERN PetscErrorCode MatMeshToVertexGraph(Mat,PetscInt,Mat*);
1463 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat,PetscInt,Mat*);
1464 
1465 /*
1466     If you add entries here you must also add them to finclude/petscmat.h
1467 */
1468 typedef enum { MATOP_SET_VALUES=0,
1469                MATOP_GET_ROW=1,
1470                MATOP_RESTORE_ROW=2,
1471                MATOP_MULT=3,
1472                MATOP_MULT_ADD=4,
1473                MATOP_MULT_TRANSPOSE=5,
1474                MATOP_MULT_TRANSPOSE_ADD=6,
1475                MATOP_SOLVE=7,
1476                MATOP_SOLVE_ADD=8,
1477                MATOP_SOLVE_TRANSPOSE=9,
1478                MATOP_SOLVE_TRANSPOSE_ADD=10,
1479                MATOP_LUFACTOR=11,
1480                MATOP_CHOLESKYFACTOR=12,
1481                MATOP_SOR=13,
1482                MATOP_TRANSPOSE=14,
1483                MATOP_GETINFO=15,
1484                MATOP_EQUAL=16,
1485                MATOP_GET_DIAGONAL=17,
1486                MATOP_DIAGONAL_SCALE=18,
1487                MATOP_NORM=19,
1488                MATOP_ASSEMBLY_BEGIN=20,
1489                MATOP_ASSEMBLY_END=21,
1490                MATOP_SET_OPTION=22,
1491                MATOP_ZERO_ENTRIES=23,
1492                MATOP_ZERO_ROWS=24,
1493                MATOP_LUFACTOR_SYMBOLIC=25,
1494                MATOP_LUFACTOR_NUMERIC=26,
1495                MATOP_CHOLESKY_FACTOR_SYMBOLIC=27,
1496                MATOP_CHOLESKY_FACTOR_NUMERIC=28,
1497                MATOP_SETUP_PREALLOCATION=29,
1498                MATOP_ILUFACTOR_SYMBOLIC=30,
1499                MATOP_ICCFACTOR_SYMBOLIC=31,
1500                MATOP_GET_ARRAY=32,
1501                MATOP_RESTORE_ARRAY=33,
1502                MATOP_DUPLICATE=34,
1503                MATOP_FORWARD_SOLVE=35,
1504                MATOP_BACKWARD_SOLVE=36,
1505                MATOP_ILUFACTOR=37,
1506                MATOP_ICCFACTOR=38,
1507                MATOP_AXPY=39,
1508                MATOP_GET_SUBMATRICES=40,
1509                MATOP_INCREASE_OVERLAP=41,
1510                MATOP_GET_VALUES=42,
1511                MATOP_COPY=43,
1512                MATOP_GET_ROW_MAX=44,
1513                MATOP_SCALE=45,
1514                MATOP_SHIFT=46,
1515                MATOP_DIAGONAL_SET=47,
1516                MATOP_ILUDT_FACTOR=48,
1517                MATOP_SET_BLOCK_SIZE=49,
1518                MATOP_GET_ROW_IJ=50,
1519                MATOP_RESTORE_ROW_IJ=51,
1520                MATOP_GET_COLUMN_IJ=52,
1521                MATOP_RESTORE_COLUMN_IJ=53,
1522                MATOP_FDCOLORING_CREATE=54,
1523                MATOP_COLORING_PATCH=55,
1524                MATOP_SET_UNFACTORED=56,
1525                MATOP_PERMUTE=57,
1526                MATOP_SET_VALUES_BLOCKED=58,
1527                MATOP_GET_SUBMATRIX=59,
1528                MATOP_DESTROY=60,
1529                MATOP_VIEW=61,
1530                MATOP_CONVERT_FROM=62,
1531                MATOP_USE_SCALED_FORM=63,
1532                MATOP_SCALE_SYSTEM=64,
1533                MATOP_UNSCALE_SYSTEM=65,
1534                MATOP_SET_LOCAL_TO_GLOBAL_MAP=66,
1535                MATOP_SET_VALUES_LOCAL=67,
1536                MATOP_ZERO_ROWS_LOCAL=68,
1537                MATOP_GET_ROW_MAX_ABS=69,
1538                MATOP_GET_ROW_MIN_ABS=70,
1539                MATOP_CONVERT=71,
1540                MATOP_SET_COLORING=72,
1541                MATOP_SET_VALUES_ADIC=73,
1542                MATOP_SET_VALUES_ADIFOR=74,
1543                MATOP_FD_COLORING_APPLY=75,
1544                MATOP_SET_FROM_OPTIONS=76,
1545                MATOP_MULT_CON=77,
1546                MATOP_MULT_TRANSPOSE_CON=78,
1547                MATOP_PERMUTE_SPARSIFY=79,
1548                MATOP_MULT_MULTIPLE=80,
1549                MATOP_SOLVE_MULTIPLE=81,
1550                MATOP_GET_INERTIA=82,
1551                MATOP_LOAD=83,
1552                MATOP_IS_SYMMETRIC=84,
1553                MATOP_IS_HERMITIAN=85,
1554                MATOP_IS_STRUCTURALLY_SYMMETRIC=86,
1555                MATOP_DUMMY=87,
1556                MATOP_GET_VECS=88,
1557                MATOP_MAT_MULT=89,
1558                MATOP_MAT_MULT_SYMBOLIC=90,
1559                MATOP_MAT_MULT_NUMERIC=91,
1560                MATOP_PTAP=92,
1561                MATOP_PTAP_SYMBOLIC=93,
1562                MATOP_PTAP_NUMERIC=94,
1563                MATOP_MAT_MULTTRANSPOSE=95,
1564                MATOP_MAT_MULTTRANSPOSE_SYM=96,
1565                MATOP_MAT_MULTTRANSPOSE_NUM=97,
1566                MATOP_PTAP_SYMBOLIC_SEQAIJ=98,
1567                MATOP_PTAP_NUMERIC_SEQAIJ=99,
1568                MATOP_PTAP_SYMBOLIC_MPIAIJ=100,
1569                MATOP_PTAP_NUMERIC_MPIAIJ=101,
1570                MATOP_CONJUGATE=102,
1571                MATOP_SET_SIZES=103,
1572                MATOP_SET_VALUES_ROW=104,
1573                MATOP_REAL_PART=105,
1574                MATOP_IMAG_PART=106,
1575                MATOP_GET_ROW_UTRIANGULAR=107,
1576                MATOP_RESTORE_ROW_UTRIANGULAR=108,
1577                MATOP_MATSOLVE=109,
1578                MATOP_GET_REDUNDANTMATRIX=110,
1579                MATOP_GET_ROW_MIN=111,
1580                MATOP_GET_COLUMN_VEC=112,
1581                MATOP_MISSING_DIAGONAL=113,
1582                MATOP_MATGETSEQNONZEROSTRUCTURE=114,
1583                MATOP_CREATE=115,
1584                MATOP_GET_GHOSTS=116,
1585                MATOP_GET_LOCALSUBMATRIX=117,
1586                MATOP_RESTORE_LOCALSUBMATRIX=118,
1587                MATOP_MULT_DIAGONAL_BLOCK=119,
1588                MATOP_HERMITIANTRANSPOSE=120,
1589                MATOP_MULTHERMITIANTRANSPOSE=121,
1590                MATOP_MULTHERMITIANTRANSPOSEADD=122,
1591                MATOP_GETMULTIPROCBLOCK=123,
1592                MATOP_GETCOLUMNNORMS=125,
1593 	       MATOP_GET_SUBMATRICES_PARALLEL=128,
1594                MATOP_SET_VALUES_BATCH=129,
1595                MATOP_TRANSPOSEMATMULT=130,
1596                MATOP_TRANSPOSEMATMULT_SYMBOLIC=131,
1597                MATOP_TRANSPOSEMATMULT_NUMERIC=132,
1598                MATOP_TRANSPOSECOLORING_CREATE=133,
1599                MATOP_TRANSCOLORING_APPLY_SPTODEN=134,
1600                MATOP_TRANSCOLORING_APPLY_DENTOSP=135,
1601                MATOP_RARt=136,
1602                MATOP_RARt_SYMBOLIC=137,
1603                MATOP_RARt_NUMERIC=138,
1604                MATOP_SET_BLOCK_SIZES=139
1605              } MatOperation;
1606 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat,MatOperation,PetscBool *);
1607 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat,MatOperation,void(*)(void));
1608 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat,MatOperation,void(**)(void));
1609 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat,void*);
1610 
1611 /*
1612    Codes for matrices stored on disk. By default they are
1613    stored in a universal format. By changing the format with
1614    PetscViewerSetFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
1615    be stored in a way natural for the matrix, for example dense matrices
1616    would be stored as dense. Matrices stored this way may only be
1617    read into matrices of the same type.
1618 */
1619 #define MATRIX_BINARY_FORMAT_DENSE -1
1620 
1621 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1622 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat,Mat*);
1623 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat,Mat);
1624 
1625 /*S
1626      MatNullSpace - Object that removes a null space from a vector, i.e.
1627          orthogonalizes the vector to a subsapce
1628 
1629    Level: advanced
1630 
1631   Concepts: matrix; linear operator, null space
1632 
1633   Users manual sections:
1634 .   sec_singular
1635 
1636 .seealso:  MatNullSpaceCreate()
1637 S*/
1638 typedef struct _p_MatNullSpace* MatNullSpace;
1639 
1640 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm,PetscBool ,PetscInt,const Vec[],MatNullSpace*);
1641 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace,PetscErrorCode (*)(MatNullSpace,Vec,void*),void*);
1642 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace*);
1643 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace,Vec,Vec*);
1644 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
1645 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat,MatNullSpace);
1646 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat,MatNullSpace);
1647 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat,MatNullSpace*);
1648 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace,Mat,PetscBool  *);
1649 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace,PetscViewer);
1650 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace,PetscBool*,PetscInt*,const Vec**);
1651 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec,MatNullSpace*);
1652 
1653 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat,IS);
1654 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1655 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat,PetscInt *);
1656 PETSC_EXTERN PetscErrorCode MatSeqBAIJInvertBlockDiagonal(Mat);
1657 
1658 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat,PetscInt,Mat*);
1659 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat,PetscInt,Mat*);
1660 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat,Mat*);
1661 
1662 PETSC_EXTERN PetscErrorCode MatComputeExplicitOperator(Mat,Mat*);
1663 
1664 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat,Vec);
1665 
1666 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
1667 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat,Vec,Vec);
1668 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat,PetscErrorCode(*)(void*,Vec,Vec),void*);
1669 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat,PetscErrorCode (*)(void*,PetscInt,Vec,PetscScalar*));
1670 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat,PetscErrorCode (*)(void*,Vec));
1671 PETSC_EXTERN PetscErrorCode MatMFFDAddNullSpace(Mat,MatNullSpace);
1672 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat,PetscScalar[],PetscInt);
1673 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
1674 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat,PetscReal);
1675 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat,PetscInt);
1676 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat,PetscScalar *);
1677 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat,const char[]);
1678 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void*,Vec,Vec,PetscScalar*);
1679 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat,PetscErrorCode (*)(void*,Vec,Vec,PetscScalar*),void*);
1680 
1681 /*S
1682     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
1683               Jacobian vector products
1684 
1685     Notes: MATMFFD is a specific MatType which uses the MatMFFD data structure
1686 
1687            MatMFFD*() methods actually take the Mat as their first argument. Not a MatMFFD data structure
1688 
1689     Level: developer
1690 
1691 .seealso: MATMFFD, MatCreateMFFD(), MatMFFDSetFuction(), MatMFFDSetType(), MatMFFDRegister()
1692 S*/
1693 typedef struct _p_MatMFFD* MatMFFD;
1694 
1695 /*J
1696     MatMFFDType - algorithm used to compute the h used in computing matrix-vector products via differencing of the function
1697 
1698    Level: beginner
1699 
1700 .seealso: MatMFFDSetType(), MatMFFDRegister()
1701 J*/
1702 #define MatMFFDType char*
1703 #define MATMFFD_DS  "ds"
1704 #define MATMFFD_WP  "wp"
1705 
1706 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat,const MatMFFDType);
1707 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[],const char[],const char[],PetscErrorCode (*)(MatMFFD));
1708 
1709 /*MC
1710    MatMFFDRegisterDynamic - Adds a method to the MatMFFD registry.
1711 
1712    Synopsis:
1713    PetscErrorCode MatMFFDRegisterDynamic(const char *name_solver,const char *path,const char *name_create,PetscErrorCode (*routine_create)(MatMFFD))
1714 
1715    Not Collective
1716 
1717    Input Parameters:
1718 +  name_solver - name of a new user-defined compute-h module
1719 .  path - path (either absolute or relative) the library containing this solver
1720 .  name_create - name of routine to create method context
1721 -  routine_create - routine to create method context
1722 
1723    Level: developer
1724 
1725    Notes:
1726    MatMFFDRegisterDynamic() may be called multiple times to add several user-defined solvers.
1727 
1728    If dynamic libraries are used, then the fourth input argument (routine_create)
1729    is ignored.
1730 
1731    Sample usage:
1732 .vb
1733    MatMFFDRegisterDynamic("my_h",/home/username/my_lib/lib/libO/solaris/mylib.a,
1734                "MyHCreate",MyHCreate);
1735 .ve
1736 
1737    Then, your solver can be chosen with the procedural interface via
1738 $     MatMFFDSetType(mfctx,"my_h")
1739    or at runtime via the option
1740 $     -snes_mf_type my_h
1741 
1742 .keywords: MatMFFD, register
1743 
1744 .seealso: MatMFFDRegisterAll(), MatMFFDRegisterDestroy()
1745 M*/
1746 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
1747 #define MatMFFDRegisterDynamic(a,b,c,d) MatMFFDRegister(a,b,c,0)
1748 #else
1749 #define MatMFFDRegisterDynamic(a,b,c,d) MatMFFDRegister(a,b,c,d)
1750 #endif
1751 
1752 PETSC_EXTERN PetscErrorCode MatMFFDRegisterAll(const char[]);
1753 PETSC_EXTERN PetscErrorCode MatMFFDRegisterDestroy(void);
1754 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat,PetscReal);
1755 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat,PetscBool );
1756 
1757 
1758 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
1759 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
1760 
1761 /*
1762    PETSc interface to MUMPS
1763 */
1764 #ifdef PETSC_HAVE_MUMPS
1765 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat,PetscInt,PetscInt);
1766 #endif
1767 
1768 /*
1769    PETSc interface to SUPERLU
1770 */
1771 #ifdef PETSC_HAVE_SUPERLU
1772 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat,PetscReal);
1773 #endif
1774 
1775 #if defined(PETSC_HAVE_CUSP)
1776 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1777 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1778 #endif
1779 
1780 /*
1781    PETSc interface to FFTW
1782 */
1783 #if defined(PETSC_HAVE_FFTW)
1784 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat,Vec,Vec);
1785 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat,Vec,Vec);
1786 PETSC_EXTERN PetscErrorCode MatGetVecsFFTW(Mat,Vec*,Vec*,Vec*);
1787 #endif
1788 
1789 #if defined(PETSC_HAVE_ELEMENTAL)
1790 
1791 #endif
1792 
1793 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm,PetscInt,const IS[],PetscInt,const IS[],const Mat[],Mat*);
1794 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat,PetscInt*,PetscInt*);
1795 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat,IS[],IS[]);
1796 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat,IS[],IS[]);
1797 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat,PetscInt*,PetscInt*,Mat***);
1798 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat,PetscInt,PetscInt,Mat*);
1799 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat,const VecType);
1800 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat,PetscInt,const IS[],PetscInt,const IS[],const Mat[]);
1801 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat,PetscInt,PetscInt,Mat);
1802 
1803 /*
1804  MatIJ:
1805  An unweighted directed pseudograph
1806  An interpretation of this matrix as a (pseudo)graph allows us to define additional operations on it:
1807  A MatIJ can act on sparse arrays: arrays of indices, or index arrays of integers, scalars, or integer-scalar pairs
1808  by mapping the indices to the indices connected to them by the (pseudo)graph ed
1809  */
1810 typedef enum {MATIJ_LOCAL, MATIJ_GLOBAL} MatIJIndexType;
1811 PETSC_EXTERN PetscErrorCode MatIJSetMultivalued(Mat, PetscBool);
1812 PETSC_EXTERN PetscErrorCode MatIJGetMultivalued(Mat, PetscBool*);
1813 PETSC_EXTERN PetscErrorCode MatIJSetEdges(Mat, PetscInt, const PetscInt*, const PetscInt*);
1814 PETSC_EXTERN PetscErrorCode MatIJGetEdges(Mat, PetscInt *, PetscInt **, PetscInt **);
1815 PETSC_EXTERN PetscErrorCode MatIJSetEdgesIS(Mat, IS, IS);
1816 PETSC_EXTERN PetscErrorCode MatIJGetEdgesIS(Mat, IS*, IS*);
1817 PETSC_EXTERN PetscErrorCode MatIJGetRowSizes(Mat, MatIJIndexType, PetscInt, const PetscInt *, PetscInt **);
1818 PETSC_EXTERN PetscErrorCode MatIJGetMinRowSize(Mat, PetscInt *);
1819 PETSC_EXTERN PetscErrorCode MatIJGetMaxRowSize(Mat, PetscInt *);
1820 PETSC_EXTERN PetscErrorCode MatIJGetSupport(Mat,  PetscInt *, PetscInt **);
1821 PETSC_EXTERN PetscErrorCode MatIJGetSupportIS(Mat, IS *);
1822 PETSC_EXTERN PetscErrorCode MatIJGetImage(Mat, PetscInt*, PetscInt**);
1823 PETSC_EXTERN PetscErrorCode MatIJGetImageIS(Mat, IS *);
1824 PETSC_EXTERN PetscErrorCode MatIJGetSupportSize(Mat, PetscInt *);
1825 PETSC_EXTERN PetscErrorCode MatIJGetImageSize(Mat, PetscInt *);
1826 
1827 PETSC_EXTERN PetscErrorCode MatIJBinRenumber(Mat, Mat*);
1828 
1829 PETSC_EXTERN PetscErrorCode MatIJMap(Mat, MatIJIndexType, PetscInt,const PetscInt*,const PetscInt*,const PetscScalar*, MatIJIndexType,PetscInt*,PetscInt**,PetscInt**,PetscScalar**,PetscInt**);
1830 PETSC_EXTERN PetscErrorCode MatIJBin(Mat, MatIJIndexType, PetscInt,const PetscInt*,const PetscInt*,const PetscScalar*,PetscInt*,PetscInt**,PetscInt**,PetscScalar**,PetscInt**);
1831 PETSC_EXTERN PetscErrorCode MatIJBinMap(Mat,Mat, MatIJIndexType,PetscInt,const PetscInt*,const PetscInt*,const PetscScalar*,MatIJIndexType,PetscInt*,PetscInt**,PetscInt**,PetscScalar**,PetscInt**);
1832 
1833 #endif
1834