xref: /petsc/include/petscmat.h (revision a7fac7c2b47dbcd8ece0cc2dfdfe0e63be1bb7b5)
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 used to manage all linear operators in PETSc, even those without
10            an explicit sparse representation (such as matrix-free operators)
11 
12    Level: beginner
13 
14   Concepts: matrix; linear operator
15 
16 .seealso:  MatCreate(), MatType, MatSetType(), MatDestroy()
17 S*/
18 typedef struct _p_Mat*           Mat;
19 
20 /*J
21     MatType - String with the name of a PETSc matrix type
22 
23    Level: beginner
24 
25 .seealso: MatSetType(), Mat, MatSolverPackage, MatRegister()
26 J*/
27 typedef const char* MatType;
28 #define MATSAME            "same"
29 #define MATMAIJ            "maij"
30 #define MATSEQMAIJ         "seqmaij"
31 #define MATMPIMAIJ         "mpimaij"
32 #define MATIS              "is"
33 #define MATAIJ             "aij"
34 #define MATSEQAIJ          "seqaij"
35 #define MATSEQAIJPTHREAD   "seqaijpthread"
36 #define MATAIJPTHREAD      "aijpthread"
37 #define MATMPIAIJ          "mpiaij"
38 #define MATAIJCRL          "aijcrl"
39 #define MATSEQAIJCRL       "seqaijcrl"
40 #define MATMPIAIJCRL       "mpiaijcrl"
41 #define MATAIJCUSP         "aijcusp"
42 #define MATSEQAIJCUSP      "seqaijcusp"
43 #define MATMPIAIJCUSP      "mpiaijcusp"
44 #define MATAIJCUSPARSE     "aijcusparse"
45 #define MATSEQAIJCUSPARSE  "seqaijcusparse"
46 #define MATMPIAIJCUSPARSE  "mpiaijcusparse"
47 #define MATAIJVIENNACL     "aijviennacl"
48 #define MATSEQAIJVIENNACL  "seqaijviennacl"
49 #define MATMPIAIJVIENNACL  "mpiaijviennacl"
50 #define MATAIJPERM         "aijperm"
51 #define MATSEQAIJPERM      "seqaijperm"
52 #define MATMPIAIJPERM      "mpiaijperm"
53 #define MATSHELL           "shell"
54 #define MATDENSE           "dense"
55 #define MATSEQDENSE        "seqdense"
56 #define MATMPIDENSE        "mpidense"
57 #define MATELEMENTAL       "elemental"
58 #define MATBAIJ            "baij"
59 #define MATSEQBAIJ         "seqbaij"
60 #define MATMPIBAIJ         "mpibaij"
61 #define MATMPIADJ          "mpiadj"
62 #define MATSBAIJ           "sbaij"
63 #define MATSEQSBAIJ        "seqsbaij"
64 #define MATMPISBAIJ        "mpisbaij"
65 #define MATSEQBSTRM        "seqbstrm"
66 #define MATMPIBSTRM        "mpibstrm"
67 #define MATBSTRM           "bstrm"
68 #define MATSEQSBSTRM       "seqsbstrm"
69 #define MATMPISBSTRM       "mpisbstrm"
70 #define MATSBSTRM          "sbstrm"
71 #define MATDAAD            "daad"
72 #define MATMFFD            "mffd"
73 #define MATNORMAL          "normal"
74 #define MATLRC             "lrc"
75 #define MATSCATTER         "scatter"
76 #define MATBLOCKMAT        "blockmat"
77 #define MATCOMPOSITE       "composite"
78 #define MATFFT             "fft"
79 #define MATFFTW            "fftw"
80 #define MATSEQCUFFT        "seqcufft"
81 #define MATTRANSPOSEMAT    "transpose"
82 #define MATSCHURCOMPLEMENT "schurcomplement"
83 #define MATPYTHON          "python"
84 #define MATHYPRESTRUCT     "hyprestruct"
85 #define MATHYPRESSTRUCT    "hypresstruct"
86 #define MATSUBMATRIX       "submatrix"
87 #define MATLOCALREF        "localref"
88 #define MATNEST            "nest"
89 
90 /*J
91     MatSolverPackage - String with the name of a PETSc matrix solver type.
92 
93     For example: "petsc" indicates what PETSc provides, "superlu_dist" the parallel SuperLU_DIST package etc
94 
95    Level: beginner
96 
97 .seealso: MatGetFactor(), Mat, MatSetType(), MatType
98 J*/
99 #define MatSolverPackage char*
100 #define MATSOLVERSUPERLU      "superlu"
101 #define MATSOLVERSUPERLU_DIST "superlu_dist"
102 #define MATSOLVERUMFPACK      "umfpack"
103 #define MATSOLVERCHOLMOD      "cholmod"
104 #define MATSOLVERESSL         "essl"
105 #define MATSOLVERLUSOL        "lusol"
106 #define MATSOLVERMUMPS        "mumps"
107 #define MATSOLVERMKL_PARDISO  "mkl_pardiso"
108 #define MATSOLVERMKL_CPARDISO "mkl_cpardiso"
109 #define MATSOLVERPASTIX       "pastix"
110 #define MATSOLVERMATLAB       "matlab"
111 #define MATSOLVERPETSC        "petsc"
112 #define MATSOLVERBAS          "bas"
113 #define MATSOLVERCUSPARSE     "cusparse"
114 #define MATSOLVERBSTRM        "bstrm"
115 #define MATSOLVERSBSTRM       "sbstrm"
116 #define MATSOLVERELEMENTAL    "elemental"
117 #define MATSOLVERCLIQUE       "clique"
118 #define MATSOLVERKLU          "klu"
119 
120 /*E
121     MatFactorType - indicates what type of factorization is requested
122 
123     Level: beginner
124 
125    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
126 
127 .seealso: MatSolverPackage, MatGetFactor()
128 E*/
129 typedef enum {MAT_FACTOR_NONE, MAT_FACTOR_LU, MAT_FACTOR_CHOLESKY, MAT_FACTOR_ILU, MAT_FACTOR_ICC,MAT_FACTOR_ILUDT} MatFactorType;
130 PETSC_EXTERN const char *const MatFactorTypes[];
131 
132 PETSC_EXTERN PetscErrorCode MatGetFactor(Mat,const MatSolverPackage,MatFactorType,Mat*);
133 PETSC_EXTERN PetscErrorCode MatGetFactorAvailable(Mat,const MatSolverPackage,MatFactorType,PetscBool *);
134 PETSC_EXTERN PetscErrorCode MatFactorGetSolverPackage(Mat,const MatSolverPackage*);
135 PETSC_EXTERN PetscErrorCode MatGetFactorType(Mat,MatFactorType*);
136 PETSC_EXTERN PetscErrorCode MatSolverPackageRegister(const MatSolverPackage,const MatType,MatFactorType,PetscErrorCode(*)(Mat,MatFactorType,Mat*));
137 PETSC_EXTERN PetscErrorCode MatSolverPackageGet(const MatSolverPackage,const MatType,MatFactorType,PetscBool*,PetscBool*,PetscErrorCode (**)(Mat,MatFactorType,Mat*));
138 
139 /* Logging support */
140 #define    MAT_FILE_CLASSID 1211216    /* used to indicate matrices in binary files */
141 PETSC_EXTERN PetscClassId MAT_CLASSID;
142 PETSC_EXTERN PetscClassId MAT_COLORING_CLASSID;
143 PETSC_EXTERN PetscClassId MAT_FDCOLORING_CLASSID;
144 PETSC_EXTERN PetscClassId MAT_TRANSPOSECOLORING_CLASSID;
145 PETSC_EXTERN PetscClassId MAT_PARTITIONING_CLASSID;
146 PETSC_EXTERN PetscClassId MAT_COARSEN_CLASSID;
147 PETSC_EXTERN PetscClassId MAT_NULLSPACE_CLASSID;
148 PETSC_EXTERN PetscClassId MATMFFD_CLASSID;
149 
150 /*E
151     MatReuse - Indicates if matrices obtained from a previous call to MatGetSubMatrices()
152      or MatGetSubMatrix() are to be reused to store the new matrix values. For MatConvert() is used to indicate
153      that the input matrix is to be replaced with the converted matrix.
154 
155     Level: beginner
156 
157    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
158 
159 .seealso: MatGetSubMatrices(), MatGetSubMatrix(), MatDestroyMatrices(), MatConvert()
160 E*/
161 typedef enum {MAT_INITIAL_MATRIX,MAT_REUSE_MATRIX,MAT_IGNORE_MATRIX} MatReuse;
162 
163 /*E
164     MatGetSubMatrixOption - Indicates if matrices obtained from a call to MatGetSubMatrices()
165      include the matrix values. Currently it is only used by MatGetSeqNonzerostructure().
166 
167     Level: beginner
168 
169 .seealso: MatGetSeqNonzerostructure()
170 E*/
171 typedef enum {MAT_DO_NOT_GET_VALUES,MAT_GET_VALUES} MatGetSubMatrixOption;
172 
173 PETSC_EXTERN PetscErrorCode MatInitializePackage(void);
174 
175 PETSC_EXTERN PetscErrorCode MatCreate(MPI_Comm,Mat*);
176 PETSC_EXTERN PetscErrorCode MatSetSizes(Mat,PetscInt,PetscInt,PetscInt,PetscInt);
177 PETSC_EXTERN PetscErrorCode MatSetType(Mat,MatType);
178 PETSC_EXTERN PetscErrorCode MatSetFromOptions(Mat);
179 PETSC_STATIC_INLINE PetscErrorCode MatViewFromOptions(Mat A,PetscObject obj,const char name[]) {return PetscObjectViewFromOptions((PetscObject)A,obj,name);}
180 PETSC_EXTERN PetscErrorCode MatRegister(const char[],PetscErrorCode(*)(Mat));
181 PETSC_EXTERN PetscErrorCode MatRegisterBaseName(const char[],const char[],const char[]);
182 PETSC_EXTERN PetscErrorCode MatSetOptionsPrefix(Mat,const char[]);
183 PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefix(Mat,const char[]);
184 PETSC_EXTERN PetscErrorCode MatGetOptionsPrefix(Mat,const char*[]);
185 PETSC_EXTERN PetscErrorCode MatSetErrorIfFPE(Mat,PetscBool);
186 
187 PETSC_EXTERN PetscFunctionList MatList;
188 PETSC_EXTERN PetscFunctionList MatColoringList;
189 PETSC_EXTERN PetscFunctionList MatPartitioningList;
190 PETSC_EXTERN PetscFunctionList MatCoarsenList;
191 
192 /*E
193     MatStructure - Indicates if two matrices have the same nonzero structure
194 
195     Level: beginner
196 
197    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
198 
199 .seealso: MatCopy(), MatAXPY()
200 E*/
201 typedef enum {DIFFERENT_NONZERO_PATTERN,SUBSET_NONZERO_PATTERN,SAME_NONZERO_PATTERN} MatStructure;
202 
203 PETSC_EXTERN PetscErrorCode MatCreateSeqDense(MPI_Comm,PetscInt,PetscInt,PetscScalar[],Mat*);
204 PETSC_EXTERN PetscErrorCode MatCreateDense(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar[],Mat*);
205 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
206 PETSC_EXTERN PetscErrorCode MatCreateAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
207 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
208 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSplitArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],PetscInt[],PetscInt[],PetscScalar[],Mat*);
209 
210 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
211 PETSC_EXTERN PetscErrorCode MatCreateBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
212 PETSC_EXTERN PetscErrorCode MatCreateMPIBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat*);
213 
214 PETSC_EXTERN PetscErrorCode MatCreateMPIAdj(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscInt[],Mat*);
215 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
216 
217 PETSC_EXTERN PetscErrorCode MatCreateSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
218 PETSC_EXTERN PetscErrorCode MatCreateMPISBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
219 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
220 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
221 PETSC_EXTERN PetscErrorCode MatXAIJSetPreallocation(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscInt[],const PetscInt[]);
222 
223 PETSC_EXTERN PetscErrorCode MatCreateShell(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,void *,Mat*);
224 PETSC_EXTERN PetscErrorCode MatCreateNormal(Mat,Mat*);
225 PETSC_EXTERN PetscErrorCode MatCreateLRC(Mat,Mat,Mat,Mat*);
226 PETSC_EXTERN PetscErrorCode MatCreateIS(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,ISLocalToGlobalMapping,Mat*);
227 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
228 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
229 
230 PETSC_EXTERN PetscErrorCode MatCreateSeqBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
231 PETSC_EXTERN PetscErrorCode MatCreateMPIBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
232 PETSC_EXTERN PetscErrorCode MatCreateSeqSBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
233 PETSC_EXTERN PetscErrorCode MatCreateMPISBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
234 
235 PETSC_EXTERN PetscErrorCode MatCreateScatter(MPI_Comm,VecScatter,Mat*);
236 PETSC_EXTERN PetscErrorCode MatScatterSetVecScatter(Mat,VecScatter);
237 PETSC_EXTERN PetscErrorCode MatScatterGetVecScatter(Mat,VecScatter*);
238 PETSC_EXTERN PetscErrorCode MatCreateBlockMat(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt*,Mat*);
239 PETSC_EXTERN PetscErrorCode MatCompositeAddMat(Mat,Mat);
240 PETSC_EXTERN PetscErrorCode MatCompositeMerge(Mat);
241 PETSC_EXTERN PetscErrorCode MatCreateComposite(MPI_Comm,PetscInt,const Mat*,Mat*);
242 typedef enum {MAT_COMPOSITE_ADDITIVE,MAT_COMPOSITE_MULTIPLICATIVE} MatCompositeType;
243 PETSC_EXTERN PetscErrorCode MatCompositeSetType(Mat,MatCompositeType);
244 
245 PETSC_EXTERN PetscErrorCode MatCreateFFT(MPI_Comm,PetscInt,const PetscInt[],MatType,Mat*);
246 PETSC_EXTERN PetscErrorCode MatCreateSeqCUFFT(MPI_Comm,PetscInt,const PetscInt[],Mat*);
247 
248 PETSC_EXTERN PetscErrorCode MatCreateTranspose(Mat,Mat*);
249 PETSC_EXTERN PetscErrorCode MatCreateHermitianTranspose(Mat,Mat*);
250 PETSC_EXTERN PetscErrorCode MatCreateSubMatrix(Mat,IS,IS,Mat*);
251 PETSC_EXTERN PetscErrorCode MatSubMatrixUpdate(Mat,Mat,IS,IS);
252 PETSC_EXTERN PetscErrorCode MatCreateLocalRef(Mat,IS,IS,Mat*);
253 
254 PETSC_EXTERN PetscErrorCode MatPythonSetType(Mat,const char[]);
255 
256 PETSC_EXTERN PetscErrorCode MatSetUp(Mat);
257 PETSC_EXTERN PetscErrorCode MatDestroy(Mat*);
258 PETSC_EXTERN PetscErrorCode MatGetNonzeroState(Mat,PetscObjectState*);
259 
260 PETSC_EXTERN PetscErrorCode MatConjugate(Mat);
261 PETSC_EXTERN PetscErrorCode MatRealPart(Mat);
262 PETSC_EXTERN PetscErrorCode MatImaginaryPart(Mat);
263 PETSC_EXTERN PetscErrorCode MatGetDiagonalBlock(Mat,Mat*);
264 PETSC_EXTERN PetscErrorCode MatGetTrace(Mat,PetscScalar*);
265 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonal(Mat,const PetscScalar **);
266 
267 /* ------------------------------------------------------------*/
268 PETSC_EXTERN PetscErrorCode MatSetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
269 PETSC_EXTERN PetscErrorCode MatSetValuesBlocked(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
270 PETSC_EXTERN PetscErrorCode MatSetValuesRow(Mat,PetscInt,const PetscScalar[]);
271 PETSC_EXTERN PetscErrorCode MatSetValuesRowLocal(Mat,PetscInt,const PetscScalar[]);
272 PETSC_EXTERN PetscErrorCode MatSetValuesBatch(Mat,PetscInt,PetscInt,PetscInt[],const PetscScalar[]);
273 PETSC_EXTERN PetscErrorCode MatSetRandom(Mat,PetscRandom);
274 
275 /*S
276      MatStencil - Data structure (C struct) for storing information about a single row or
277         column of a matrix as indexed on an associated grid.
278 
279    Fortran usage is different, see MatSetValuesStencil() for details.
280 
281    Level: beginner
282 
283   Concepts: matrix; linear operator
284 
285 .seealso:  MatSetValuesStencil(), MatSetStencil(), MatSetValuesBlockedStencil()
286 S*/
287 typedef struct {
288   PetscInt k,j,i,c;
289 } MatStencil;
290 
291 PETSC_EXTERN PetscErrorCode MatSetValuesStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
292 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
293 PETSC_EXTERN PetscErrorCode MatSetStencil(Mat,PetscInt,const PetscInt[],const PetscInt[],PetscInt);
294 
295 PETSC_EXTERN PetscErrorCode MatSetColoring(Mat,ISColoring);
296 PETSC_EXTERN PetscErrorCode MatSetValuesAdifor(Mat,PetscInt,void*);
297 
298 /*E
299     MatAssemblyType - Indicates if the matrix is now to be used, or if you plan
300      to continue to add values to it
301 
302     Level: beginner
303 
304 .seealso: MatAssemblyBegin(), MatAssemblyEnd()
305 E*/
306 typedef enum {MAT_FLUSH_ASSEMBLY=1,MAT_FINAL_ASSEMBLY=0} MatAssemblyType;
307 PETSC_EXTERN PetscErrorCode MatAssemblyBegin(Mat,MatAssemblyType);
308 PETSC_EXTERN PetscErrorCode MatAssemblyEnd(Mat,MatAssemblyType);
309 PETSC_EXTERN PetscErrorCode MatAssembled(Mat,PetscBool *);
310 
311 
312 
313 /*E
314     MatOption - Options that may be set for a matrix and its behavior or storage
315 
316     Level: beginner
317 
318    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
319 
320    Developer Notes: Entries that are negative need not be called collectively by all processes.
321 
322 .seealso: MatSetOption()
323 E*/
324 typedef enum {MAT_OPTION_MIN = -5,
325               MAT_NEW_NONZERO_LOCATION_ERR = -4,
326               MAT_UNUSED_NONZERO_LOCATION_ERR = -3,
327               MAT_NEW_NONZERO_ALLOCATION_ERR = -2,
328               MAT_ROW_ORIENTED = -1,
329               MAT_SYMMETRIC = 1,
330               MAT_STRUCTURALLY_SYMMETRIC = 2,
331               MAT_NEW_DIAGONALS = 3,
332               MAT_IGNORE_OFF_PROC_ENTRIES = 4,
333               MAT_USE_HASH_TABLE = 5,
334               MAT_KEEP_NONZERO_PATTERN = 6,
335               MAT_IGNORE_ZERO_ENTRIES = 7,
336               MAT_USE_INODES = 8,
337               MAT_HERMITIAN = 9,
338               MAT_SYMMETRY_ETERNAL = 10,
339               MAT_DUMMY = 11,
340               MAT_IGNORE_LOWER_TRIANGULAR = 12,
341               MAT_ERROR_LOWER_TRIANGULAR = 13,
342               MAT_GETROW_UPPERTRIANGULAR = 14,
343               MAT_SPD = 15,
344               MAT_NO_OFF_PROC_ZERO_ROWS = 16,
345               MAT_NO_OFF_PROC_ENTRIES = 17,
346               MAT_NEW_NONZERO_LOCATIONS = 18,
347               MAT_OPTION_MAX = 19} MatOption;
348 
349 PETSC_EXTERN const char *MatOptions[];
350 PETSC_EXTERN PetscErrorCode MatSetOption(Mat,MatOption,PetscBool);
351 PETSC_EXTERN PetscErrorCode MatGetOption(Mat,MatOption,PetscBool*);
352 PETSC_EXTERN PetscErrorCode MatGetType(Mat,MatType*);
353 
354 PETSC_EXTERN PetscErrorCode MatGetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar[]);
355 PETSC_EXTERN PetscErrorCode MatGetRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
356 PETSC_EXTERN PetscErrorCode MatRestoreRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
357 PETSC_EXTERN PetscErrorCode MatGetRowUpperTriangular(Mat);
358 PETSC_EXTERN PetscErrorCode MatRestoreRowUpperTriangular(Mat);
359 PETSC_EXTERN PetscErrorCode MatGetColumn(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
360 PETSC_EXTERN PetscErrorCode MatRestoreColumn(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
361 PETSC_EXTERN PetscErrorCode MatGetColumnVector(Mat,Vec,PetscInt);
362 PETSC_EXTERN PetscErrorCode MatSeqAIJGetArray(Mat,PetscScalar *[]);
363 PETSC_EXTERN PetscErrorCode MatSeqAIJRestoreArray(Mat,PetscScalar *[]);
364 PETSC_EXTERN PetscErrorCode MatSeqAIJGetMaxRowNonzeros(Mat,PetscInt*);
365 PETSC_EXTERN PetscErrorCode MatSeqAIJSetValuesLocalFast(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
366 PETSC_EXTERN PetscErrorCode MatDenseGetArray(Mat,PetscScalar *[]);
367 PETSC_EXTERN PetscErrorCode MatDenseRestoreArray(Mat,PetscScalar *[]);
368 PETSC_EXTERN PetscErrorCode MatGetBlockSize(Mat,PetscInt *);
369 PETSC_EXTERN PetscErrorCode MatSetBlockSize(Mat,PetscInt);
370 PETSC_EXTERN PetscErrorCode MatGetBlockSizes(Mat,PetscInt *,PetscInt *);
371 PETSC_EXTERN PetscErrorCode MatSetBlockSizes(Mat,PetscInt,PetscInt);
372 PETSC_EXTERN PetscErrorCode MatSetBlockSizesFromMats(Mat,Mat,Mat);
373 PETSC_EXTERN PetscErrorCode MatSetNThreads(Mat,PetscInt);
374 PETSC_EXTERN PetscErrorCode MatGetNThreads(Mat,PetscInt*);
375 
376 PETSC_EXTERN PetscErrorCode MatMult(Mat,Vec,Vec);
377 PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat,Vec,Vec);
378 PETSC_EXTERN PetscErrorCode MatMultAdd(Mat,Vec,Vec,Vec);
379 PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat,Vec,Vec);
380 PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat,Vec,Vec);
381 PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat,Mat,PetscReal,PetscBool *);
382 PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat,Mat,PetscReal,PetscBool *);
383 PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat,Vec,Vec,Vec);
384 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat,Vec,Vec,Vec);
385 PETSC_EXTERN PetscErrorCode MatMultConstrained(Mat,Vec,Vec);
386 PETSC_EXTERN PetscErrorCode MatMultTransposeConstrained(Mat,Vec,Vec);
387 PETSC_EXTERN PetscErrorCode MatMatSolve(Mat,Mat,Mat);
388 PETSC_EXTERN PetscErrorCode MatResidual(Mat,Vec,Vec,Vec);
389 
390 /*E
391     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
392   its numerical values copied over or just its nonzero structure.
393 
394     Level: beginner
395 
396    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
397 
398 $   MAT_SHARE_NONZERO_PATTERN - the i and j arrays in the new matrix will be shared with the original matrix
399 $                               this also triggers the MAT_DO_NOT_COPY_VALUES option. This is used when you
400 $                               have several matrices with the same nonzero pattern.
401 
402 .seealso: MatDuplicate()
403 E*/
404 typedef enum {MAT_DO_NOT_COPY_VALUES,MAT_COPY_VALUES,MAT_SHARE_NONZERO_PATTERN} MatDuplicateOption;
405 
406 PETSC_EXTERN PetscErrorCode MatConvert(Mat,MatType,MatReuse,Mat*);
407 PETSC_EXTERN PetscErrorCode MatDuplicate(Mat,MatDuplicateOption,Mat*);
408 
409 
410 PETSC_EXTERN PetscErrorCode MatCopy(Mat,Mat,MatStructure);
411 PETSC_EXTERN PetscErrorCode MatView(Mat,PetscViewer);
412 PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat,PetscReal,PetscBool *);
413 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat,PetscBool *);
414 PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat,PetscReal,PetscBool *);
415 PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat,PetscBool *,PetscBool *);
416 PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat,PetscBool *,PetscBool *);
417 PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat,PetscBool  *,PetscInt *);
418 PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);
419 
420 PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
421 PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
422 PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
423 PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
424 
425 /*S
426      MatInfo - Context of matrix information, used with MatGetInfo()
427 
428    In Fortran this is simply a double precision array of dimension MAT_INFO_SIZE
429 
430    Level: intermediate
431 
432   Concepts: matrix^nonzero information
433 
434 .seealso:  MatGetInfo(), MatInfoType
435 S*/
436 typedef struct {
437   PetscLogDouble block_size;                         /* block size */
438   PetscLogDouble nz_allocated,nz_used,nz_unneeded;   /* number of nonzeros */
439   PetscLogDouble memory;                             /* memory allocated */
440   PetscLogDouble assemblies;                         /* number of matrix assemblies called */
441   PetscLogDouble mallocs;                            /* number of mallocs during MatSetValues() */
442   PetscLogDouble fill_ratio_given,fill_ratio_needed; /* fill ratio for LU/ILU */
443   PetscLogDouble factor_mallocs;                     /* number of mallocs during factorization */
444 } MatInfo;
445 
446 /*E
447     MatInfoType - Indicates if you want information about the local part of the matrix,
448      the entire parallel matrix or the maximum over all the local parts.
449 
450     Level: beginner
451 
452    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
453 
454 .seealso: MatGetInfo(), MatInfo
455 E*/
456 typedef enum {MAT_LOCAL=1,MAT_GLOBAL_MAX=2,MAT_GLOBAL_SUM=3} MatInfoType;
457 PETSC_EXTERN PetscErrorCode MatGetInfo(Mat,MatInfoType,MatInfo*);
458 PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat,Vec);
459 PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat,Vec,PetscInt[]);
460 PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat,Vec,PetscInt[]);
461 PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat,Vec,PetscInt[]);
462 PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat,Vec,PetscInt[]);
463 PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat,Vec);
464 PETSC_EXTERN PetscErrorCode MatTranspose(Mat,MatReuse,Mat*);
465 PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat,MatReuse,Mat*);
466 PETSC_EXTERN PetscErrorCode MatPermute(Mat,IS,IS,Mat *);
467 PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat,Vec,Vec);
468 PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat,Vec,InsertMode);
469 PETSC_EXTERN PetscErrorCode MatEqual(Mat,Mat,PetscBool *);
470 PETSC_EXTERN PetscErrorCode MatMultEqual(Mat,Mat,PetscInt,PetscBool *);
471 PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat,Mat,PetscInt,PetscBool *);
472 PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat,Mat,PetscInt,PetscBool *);
473 PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat,Mat,PetscInt,PetscBool *);
474 
475 PETSC_EXTERN PetscErrorCode MatNorm(Mat,NormType,PetscReal *);
476 PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat,NormType,PetscReal *);
477 PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
478 PETSC_EXTERN PetscErrorCode MatZeroRows(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
479 PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat,IS,PetscScalar,Vec,Vec);
480 PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat,PetscInt,const MatStencil [],PetscScalar,Vec,Vec);
481 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat,PetscInt,const MatStencil[],PetscScalar,Vec,Vec);
482 PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
483 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat,IS,PetscScalar,Vec,Vec);
484 
485 PETSC_EXTERN PetscErrorCode MatGetSize(Mat,PetscInt*,PetscInt*);
486 PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat,PetscInt*,PetscInt*);
487 PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat,PetscInt*,PetscInt*);
488 PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat,const PetscInt**);
489 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat,PetscInt*,PetscInt*);
490 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat,const PetscInt**);
491 PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat,IS*,IS*);
492 
493 PETSC_EXTERN PetscErrorCode MatGetSubMatrices(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
494 PETSC_EXTERN PetscErrorCode MatGetSubMatricesMPI(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
495 PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt,Mat *[]);
496 PETSC_EXTERN PetscErrorCode MatGetSubMatrix(Mat,IS,IS,MatReuse,Mat *);
497 PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat,IS,IS,Mat*);
498 PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat,IS,IS,Mat*);
499 PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat,Mat*);
500 PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat*);
501 
502 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm,Mat,PetscInt,PetscInt,MatReuse,Mat*);
503 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm,Mat,PetscInt,PetscInt,Mat*);
504 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat,Mat);
505 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat,MatReuse,Mat*);
506 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat,MatReuse,IS*,IS*,Mat*);
507 PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat,Mat,MatReuse,IS*,IS*,Mat*);
508 PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *,const PetscInt *[]);
509 
510 PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat,PetscInt,IS[],PetscInt);
511 
512 PETSC_EXTERN PetscErrorCode MatMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
513 PETSC_EXTERN PetscErrorCode MatMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
514 PETSC_EXTERN PetscErrorCode MatMatMultNumeric(Mat,Mat,Mat);
515 
516 PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
517 PETSC_EXTERN PetscErrorCode MatMatMatMultSymbolic(Mat,Mat,Mat,PetscReal,Mat*);
518 PETSC_EXTERN PetscErrorCode MatMatMatMultNumeric(Mat,Mat,Mat,Mat);
519 
520 PETSC_EXTERN PetscErrorCode MatPtAP(Mat,Mat,MatReuse,PetscReal,Mat*);
521 PETSC_EXTERN PetscErrorCode MatPtAPSymbolic(Mat,Mat,PetscReal,Mat*);
522 PETSC_EXTERN PetscErrorCode MatPtAPNumeric(Mat,Mat,Mat);
523 PETSC_EXTERN PetscErrorCode MatRARt(Mat,Mat,MatReuse,PetscReal,Mat*);
524 PETSC_EXTERN PetscErrorCode MatRARtSymbolic(Mat,Mat,PetscReal,Mat*);
525 PETSC_EXTERN PetscErrorCode MatRARtNumeric(Mat,Mat,Mat);
526 
527 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
528 PETSC_EXTERN PetscErrorCode MatTransposetMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
529 PETSC_EXTERN PetscErrorCode MatTransposetMatMultNumeric(Mat,Mat,Mat);
530 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat,Mat,MatReuse,PetscReal,Mat*);
531 PETSC_EXTERN PetscErrorCode MatMatTransposeMultSymbolic(Mat,Mat,PetscReal,Mat*);
532 PETSC_EXTERN PetscErrorCode MatMatTransposeMultNumeric(Mat,Mat,Mat);
533 
534 PETSC_EXTERN PetscErrorCode MatAXPY(Mat,PetscScalar,Mat,MatStructure);
535 PETSC_EXTERN PetscErrorCode MatAYPX(Mat,PetscScalar,Mat,MatStructure);
536 
537 PETSC_EXTERN PetscErrorCode MatScale(Mat,PetscScalar);
538 PETSC_EXTERN PetscErrorCode MatShift(Mat,PetscScalar);
539 
540 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
541 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
542 PETSC_EXTERN PetscErrorCode MatGetLayouts(Mat,PetscLayout*,PetscLayout*);
543 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
544 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
545 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
546 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
547 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
548 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
549 
550 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat,PetscInt,PetscInt);
551 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat,PetscInt*,PetscInt*,PetscInt*,PetscInt*);
552 
553 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat,Vec,Vec);
554 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat,Vec,Vec,Vec);
555 PETSC_EXTERN PetscErrorCode MatRestrict(Mat,Vec,Vec);
556 PETSC_EXTERN PetscErrorCode MatCreateVecs(Mat,Vec*,Vec*);
557 PETSC_DEPRECATED("Use MatCreateVecs()") PETSC_STATIC_INLINE PetscErrorCode MatGetVecs(Mat mat,Vec *x,Vec *y) {return MatCreateVecs(mat,x,y);}
558 PETSC_EXTERN PetscErrorCode MatCreateRedundantMatrix(Mat,PetscInt,MPI_Comm,MatReuse,Mat*);
559 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat,MPI_Comm,MatReuse,Mat*);
560 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat,IS*);
561 PETSC_EXTERN PetscErrorCode MatFindOffBlockDiagonalEntries(Mat,IS*);
562 PETSC_EXTERN PetscErrorCode MatCreateMPIMatConcatenateSeqMat(MPI_Comm,Mat,PetscInt,MatReuse,Mat*);
563 
564 /*MC
565    MatSetValue - Set a single entry into a matrix.
566 
567    Not collective
568 
569    Synopsis:
570      #include <petscmat.h>
571      PetscErrorCode MatSetValue(Mat m,PetscInt row,PetscInt col,PetscScalar value,InsertMode mode)
572 
573    Input Parameters:
574 +  m - the matrix
575 .  row - the row location of the entry
576 .  col - the column location of the entry
577 .  value - the value to insert
578 -  mode - either INSERT_VALUES or ADD_VALUES
579 
580    Notes:
581    For efficiency one should use MatSetValues() and set several or many
582    values simultaneously if possible.
583 
584    Level: beginner
585 
586 .seealso: MatSetValues(), MatSetValueLocal()
587 M*/
588 PETSC_STATIC_INLINE PetscErrorCode MatSetValue(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValues(v,1,&i,1,&j,&va,mode);}
589 
590 PETSC_STATIC_INLINE PetscErrorCode MatGetValue(Mat v,PetscInt i,PetscInt j,PetscScalar *va) {return MatGetValues(v,1,&i,1,&j,va);}
591 
592 PETSC_STATIC_INLINE PetscErrorCode MatSetValueLocal(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValuesLocal(v,1,&i,1,&j,&va,mode);}
593 
594 /*MC
595    MatPreallocateInitialize - Begins the block of code that will count the number of nonzeros per
596        row in a matrix providing the data that one can use to correctly preallocate the matrix.
597 
598    Synopsis:
599    #include <petscmat.h>
600    PetscErrorCode MatPreallocateInitialize(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
601 
602    Collective on MPI_Comm
603 
604    Input Parameters:
605 +  comm - the communicator that will share the eventually allocated matrix
606 .  nrows - the number of LOCAL rows in the matrix
607 -  ncols - the number of LOCAL columns in the matrix
608 
609    Output Parameters:
610 +  dnz - the array that will be passed to the matrix preallocation routines
611 -  ozn - the other array passed to the matrix preallocation routines
612 
613    Level: intermediate
614 
615    Notes:
616     See Users-Manual: ch_performance for more details.
617 
618    Do not malloc or free dnz and onz, that is handled internally by these routines
619 
620    Use MatPreallocateInitializeSymmetric() for symmetric matrices (MPISBAIJ matrices)
621 
622    This is a MACRO not a function because it has a leading { that is closed by PetscPreallocateFinalize().
623 
624   Concepts: preallocation^Matrix
625 
626 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
627           MatPreallocateInitializeSymmetric(), MatPreallocateSymmetricSetLocalBlock()
628 M*/
629 #define MatPreallocateInitialize(comm,nrows,ncols,dnz,onz) 0; \
630 { \
631   PetscErrorCode _4_ierr; PetscInt __nrows = (nrows),__ctmp = (ncols),__rstart,__start,__end; \
632   _4_ierr = PetscCalloc2(__nrows,&dnz,__nrows,&onz);CHKERRQ(_4_ierr); \
633   __start = 0; __end = __start;                                         \
634   _4_ierr = MPI_Scan(&__ctmp,&__end,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __start = __end - __ctmp;\
635   _4_ierr = MPI_Scan(&__nrows,&__rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __nrows;
636 
637 /*MC
638    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
639        inserted using a local number of the rows and columns
640 
641    Synopsis:
642    #include <petscmat.h>
643    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
644 
645    Not Collective
646 
647    Input Parameters:
648 +  map - the row mapping from local numbering to global numbering
649 .  nrows - the number of rows indicated
650 .  rows - the indices of the rows
651 .  cmap - the column mapping from local to global numbering
652 .  ncols - the number of columns in the matrix
653 .  cols - the columns indicated
654 .  dnz - the array that will be passed to the matrix preallocation routines
655 -  ozn - the other array passed to the matrix preallocation routines
656 
657    Level: intermediate
658 
659    Notes:
660     See Users-Manual: ch_performance for more details.
661 
662    Do not malloc or free dnz and onz, that is handled internally by these routines
663 
664   Concepts: preallocation^Matrix
665 
666 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
667           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock()
668 M*/
669 #define MatPreallocateSetLocal(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
670 {\
671   PetscInt __l;\
672   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
673   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
674   for (__l=0;__l<nrows;__l++) {\
675     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
676   }\
677 }
678 
679 /*MC
680    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
681        inserted using a local number of the rows and columns
682 
683    Synopsis:
684    #include <petscmat.h>
685    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
686 
687    Not Collective
688 
689    Input Parameters:
690 +  map - the row mapping from local numbering to global numbering
691 .  nrows - the number of rows indicated
692 .  rows - the indices of the rows
693 .  cmap - the column mapping from local to global numbering
694 .  ncols - the number of columns in the matrix
695 .  cols - the columns indicated
696 .  dnz - the array that will be passed to the matrix preallocation routines
697 -  ozn - the other array passed to the matrix preallocation routines
698 
699    Level: intermediate
700 
701    Notes:
702     See Users-Manual: ch_performance for more details.
703 
704    Do not malloc or free dnz and onz, that is handled internally by these routines
705 
706   Concepts: preallocation^Matrix
707 
708 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
709           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock()
710 M*/
711 #define MatPreallocateSetLocalBlock(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
712 {\
713   PetscInt __l;\
714   _4_ierr = ISLocalToGlobalMappingApplyBlock(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
715   _4_ierr = ISLocalToGlobalMappingApplyBlock(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
716   for (__l=0;__l<nrows;__l++) {\
717     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
718   }\
719 }
720 
721 /*MC
722    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
723        inserted using a local number of the rows and columns
724 
725    Synopsis:
726    #include <petscmat.h>
727    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
728 
729    Not Collective
730 
731    Input Parameters:
732 +  map - the mapping between local numbering and global numbering
733 .  nrows - the number of rows indicated
734 .  rows - the indices of the rows
735 .  ncols - the number of columns in the matrix
736 .  cols - the columns indicated
737 .  dnz - the array that will be passed to the matrix preallocation routines
738 -  ozn - the other array passed to the matrix preallocation routines
739 
740    Level: intermediate
741 
742    Notes:
743     See Users-Manual: ch_performance for more details.
744 
745    Do not malloc or free dnz and onz that is handled internally by these routines
746 
747   Concepts: preallocation^Matrix
748 
749 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateInitialize(),
750           MatPreallocateInitialize(),  MatPreallocateSetLocal()
751 M*/
752 #define MatPreallocateSymmetricSetLocalBlock(map,nrows,rows,ncols,cols,dnz,onz) 0;\
753 {\
754   PetscInt __l;\
755   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
756   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
757   for (__l=0;__l<nrows;__l++) {\
758     _4_ierr = MatPreallocateSymmetricSetBlock((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
759   }\
760 }
761 /*MC
762    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
763        inserted using a local number of the rows and columns
764 
765    Synopsis:
766    #include <petscmat.h>
767    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
768 
769    Not Collective
770 
771    Input Parameters:
772 +  row - the row
773 .  ncols - the number of columns in the matrix
774 -  cols - the columns indicated
775 
776    Output Parameters:
777 +  dnz - the array that will be passed to the matrix preallocation routines
778 -  ozn - the other array passed to the matrix preallocation routines
779 
780    Level: intermediate
781 
782    Notes:
783     See Users-Manual: ch_performance for more details.
784 
785    Do not malloc or free dnz and onz that is handled internally by these routines
786 
787    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
788 
789   Concepts: preallocation^Matrix
790 
791 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
792           MatPreallocateInitialize(), MatPreallocateSetLocal()
793 M*/
794 #define MatPreallocateSet(row,nc,cols,dnz,onz) 0;\
795 { PetscInt __i; \
796   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);\
797   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);\
798   for (__i=0; __i<nc; __i++) {\
799     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
800     else dnz[row - __rstart]++;\
801   }\
802 }
803 
804 /*MC
805    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
806        inserted using a local number of the rows and columns
807 
808    Synopsis:
809    #include <petscmat.h>
810    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
811 
812    Not Collective
813 
814    Input Parameters:
815 +  nrows - the number of rows indicated
816 .  rows - the indices of the rows
817 .  ncols - the number of columns in the matrix
818 .  cols - the columns indicated
819 .  dnz - the array that will be passed to the matrix preallocation routines
820 -  ozn - the other array passed to the matrix preallocation routines
821 
822    Level: intermediate
823 
824    Notes:
825     See Users-Manual: ch_performance for more details.
826 
827    Do not malloc or free dnz and onz that is handled internally by these routines
828 
829    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
830 
831   Concepts: preallocation^Matrix
832 
833 .seealso: MatPreallocateFinalize(), MatPreallocateSet(),  MatPreallocateInitialize(),
834           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
835 M*/
836 #define MatPreallocateSymmetricSetBlock(row,nc,cols,dnz,onz) 0;\
837 { PetscInt __i; \
838   for (__i=0; __i<nc; __i++) {\
839     if (cols[__i] >= __end) onz[row - __rstart]++; \
840     else if (cols[__i] >= row) dnz[row - __rstart]++;\
841   }\
842 }
843 
844 /*MC
845    MatPreallocateLocation -  An alternative to MatPreallocationSet() that puts the nonzero locations into the matrix if it exists
846 
847    Synopsis:
848    #include <petscmat.h>
849    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
850 
851    Not Collective
852 
853    Input Parameters:
854 .  A - matrix
855 .  row - row where values exist (must be local to this process)
856 .  ncols - number of columns
857 .  cols - columns with nonzeros
858 .  dnz - the array that will be passed to the matrix preallocation routines
859 -  ozn - the other array passed to the matrix preallocation routines
860 
861    Level: intermediate
862 
863    Notes:
864     See Users-Manual: ch_performance for more details.
865 
866    Do not malloc or free dnz and onz that is handled internally by these routines
867 
868    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
869 
870   Concepts: preallocation^Matrix
871 
872 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
873           MatPreallocateSymmetricSetLocalBlock()
874 M*/
875 #define MatPreallocateLocation(A,row,ncols,cols,dnz,onz) 0;if (A) {ierr = MatSetValues(A,1,&row,ncols,cols,NULL,INSERT_VALUES);CHKERRQ(ierr);} else {ierr =  MatPreallocateSet(row,ncols,cols,dnz,onz);CHKERRQ(ierr);}
876 
877 
878 /*MC
879    MatPreallocateFinalize - Ends the block of code that will count the number of nonzeros per
880        row in a matrix providing the data that one can use to correctly preallocate the matrix.
881 
882    Synopsis:
883    #include <petscmat.h>
884    PetscErrorCode MatPreallocateFinalize(PetscInt *dnz, PetscInt *onz)
885 
886    Collective on MPI_Comm
887 
888    Input Parameters:
889 +  dnz - the array that was be passed to the matrix preallocation routines
890 -  ozn - the other array passed to the matrix preallocation routines
891 
892    Level: intermediate
893 
894    Notes:
895     See Users-Manual: ch_performance for more details.
896 
897    Do not malloc or free dnz and onz that is handled internally by these routines
898 
899    This is a MACRO not a function because it closes the { started in MatPreallocateInitialize().
900 
901   Concepts: preallocation^Matrix
902 
903 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
904           MatPreallocateSymmetricSetLocalBlock()
905 M*/
906 #define MatPreallocateFinalize(dnz,onz) 0;_4_ierr = PetscFree2(dnz,onz);CHKERRQ(_4_ierr);}
907 
908 /* Routines unique to particular data structures */
909 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat,void *);
910 
911 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat,IS*,IS*);
912 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat,PetscInt *,PetscInt *[],PetscInt *);
913 
914 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat,PetscInt[]);
915 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat,PetscInt[]);
916 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
917 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
918 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
919 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*,PetscInt,PetscBool);
920 
921 #define MAT_SKIP_ALLOCATION -4
922 
923 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
924 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
925 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat,PetscInt,const PetscInt[]);
926 
927 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
928 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
929 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
930 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat,const PetscInt [],const PetscInt [],const PetscScalar []);
931 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
932 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]);
933 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
934 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat,PetscInt[],PetscInt[],PetscInt[]);
935 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
936 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
937 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
938 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
939 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat,Mat*);
940 
941 PETSC_EXTERN PetscErrorCode MatISSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
942 PETSC_EXTERN PetscErrorCode MatSeqDenseSetLDA(Mat,PetscInt);
943 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat,Mat*);
944 
945 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
946 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
947 
948 PETSC_EXTERN PetscErrorCode MatDAADSetCtx(Mat,void*);
949 
950 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat,IS*);
951 /*
952   These routines are not usually accessed directly, rather solving is
953   done through the KSP and PC interfaces.
954 */
955 
956 /*J
957     MatOrderingType - String with the name of a PETSc matrix ordering
958 
959    Level: beginner
960 
961 .seealso: MatGetOrdering()
962 J*/
963 typedef const char* MatOrderingType;
964 #define MATORDERINGNATURAL     "natural"
965 #define MATORDERINGND          "nd"
966 #define MATORDERING1WD         "1wd"
967 #define MATORDERINGRCM         "rcm"
968 #define MATORDERINGQMD         "qmd"
969 #define MATORDERINGROWLENGTH   "rowlength"
970 #define MATORDERINGWBM         "wbm"
971 #define MATORDERINGSPECTRAL    "spectral"
972 #define MATORDERINGAMD         "amd"            /* only works if UMFPACK is installed with PETSc */
973 
974 PETSC_EXTERN PetscErrorCode MatGetOrdering(Mat,MatOrderingType,IS*,IS*);
975 PETSC_EXTERN PetscErrorCode MatGetOrderingList(PetscFunctionList*);
976 PETSC_EXTERN PetscErrorCode MatOrderingRegister(const char[],PetscErrorCode(*)(Mat,MatOrderingType,IS*,IS*));
977 PETSC_EXTERN PetscFunctionList MatOrderingList;
978 
979 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
980 PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat,PetscReal,PetscBool,Mat*);
981 
982 /*S
983     MatFactorShiftType - Numeric Shift.
984 
985    Level: beginner
986 
987 S*/
988 typedef enum {MAT_SHIFT_NONE,MAT_SHIFT_NONZERO,MAT_SHIFT_POSITIVE_DEFINITE,MAT_SHIFT_INBLOCKS} MatFactorShiftType;
989 PETSC_EXTERN const char *const MatFactorShiftTypes[];
990 PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];
991 
992 /*S
993    MatFactorInfo - Data passed into the matrix factorization routines, and information about the resulting factorization
994 
995    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE, that is use
996 $     MatFactorInfo  info(MAT_FACTORINFO_SIZE)
997 
998    Notes: These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
999 
1000       You can use MatFactorInfoInitialize() to set default values.
1001 
1002    Level: developer
1003 
1004 .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor(),
1005           MatFactorInfoInitialize()
1006 
1007 S*/
1008 typedef struct {
1009   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
1010   PetscReal     usedt;
1011   PetscReal     dt;             /* drop tolerance */
1012   PetscReal     dtcol;          /* tolerance for pivoting */
1013   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
1014   PetscReal     fill;           /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1015   PetscReal     levels;         /* ICC/ILU(levels) */
1016   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1017                                    factorization may be faster if do not pivot */
1018   PetscReal     zeropivot;      /* pivot is called zero if less than this */
1019   PetscReal     shifttype;      /* type of shift added to matrix factor to prevent zero pivots */
1020   PetscReal     shiftamount;     /* how large the shift is */
1021 } MatFactorInfo;
1022 
1023 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo*);
1024 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat,IS,const MatFactorInfo*);
1025 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1026 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat,Mat,const MatFactorInfo*);
1027 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat,IS,IS,const MatFactorInfo*);
1028 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat,IS,IS,const MatFactorInfo*);
1029 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1030 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1031 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1032 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat,IS,const MatFactorInfo*);
1033 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat,Mat,const MatFactorInfo*);
1034 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat,PetscInt*,PetscInt*,PetscInt*);
1035 PETSC_EXTERN PetscErrorCode MatSolve(Mat,Vec,Vec);
1036 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat,Vec,Vec);
1037 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat,Vec,Vec);
1038 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat,Vec,Vec,Vec);
1039 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat,Vec,Vec);
1040 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
1041 PETSC_EXTERN PetscErrorCode MatSolves(Mat,Vecs,Vecs);
1042 
1043 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
1044 
1045 /*E
1046     MatSORType - What type of (S)SOR to perform
1047 
1048     Level: beginner
1049 
1050    May be bitwise ORd together
1051 
1052    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1053 
1054    MatSORType may be bitwise ORd together, so do not change the numbers
1055 
1056 .seealso: MatSOR()
1057 E*/
1058 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
1059               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
1060               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
1061               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
1062 PETSC_EXTERN PetscErrorCode MatSOR(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
1063 
1064 /*
1065     These routines are for efficiently computing Jacobians via finite differences.
1066 */
1067 
1068 /*S
1069      MatColoring - Object for managing the coloring of matrices.
1070 
1071    Level: beginner
1072 
1073   Concepts: matrix, coloring
1074 
1075 .seealso:  MatFDColoringCreate() ISColoring MatFDColoring
1076 S*/
1077 typedef struct _p_MatColoring* MatColoring;
1078 /*J
1079     MatColoringType - String with the name of a PETSc matrix coloring
1080 
1081    Level: beginner
1082 
1083 .seealso: MatColoringSetType(), MatColoring
1084 J*/
1085 
1086 typedef const  char*           MatColoringType;
1087 #define MATCOLORINGJP      "jp"
1088 #define MATCOLORINGPOWER   "power"
1089 #define MATCOLORINGNATURAL "natural"
1090 #define MATCOLORINGSL      "sl"
1091 #define MATCOLORINGLF      "lf"
1092 #define MATCOLORINGID      "id"
1093 #define MATCOLORINGGREEDY  "greedy"
1094 
1095 /*E
1096    MatColoringWeightType - Type of weight scheme
1097 
1098     Not Collective
1099 
1100 +   MAT_COLORING_RANDOM  - Random weights
1101 .   MAT_COLORING_LEXICAL - Lexical weighting based upon global numbering.
1102 -   MAT_COLORING_LF      - Last-first weighting.
1103 
1104     Level: intermediate
1105 
1106    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1107 
1108 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1109 E*/
1110 typedef enum {MAT_COLORING_WEIGHT_RANDOM,MAT_COLORING_WEIGHT_LEXICAL,MAT_COLORING_WEIGHT_LF,MAT_COLORING_WEIGHT_SL} MatColoringWeightType;
1111 
1112 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat,MatColoring*);
1113 PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat,PetscInt,PetscInt*);
1114 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring*);
1115 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring,PetscViewer);
1116 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring,MatColoringType);
1117 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1118 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring,PetscInt);
1119 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring,PetscInt*);
1120 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring,PetscInt);
1121 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring,PetscInt*);
1122 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring,ISColoring*);
1123 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[],PetscErrorCode(*)(MatColoring));
1124 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat,PetscInt,PetscInt,ISColoringValue[],ISColoring*);
1125 PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring,MatColoringWeightType);
1126 PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring,PetscReal*,PetscInt*);
1127 PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring,PetscReal **,PetscInt **lperm);
1128 
1129 /*S
1130      MatFDColoring - Object for computing a sparse Jacobian via finite differences
1131         and coloring
1132 
1133    Level: beginner
1134 
1135   Concepts: coloring, sparse Jacobian, finite differences
1136 
1137 .seealso:  MatFDColoringCreate()
1138 S*/
1139 typedef struct _p_MatFDColoring* MatFDColoring;
1140 
1141 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
1142 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring*);
1143 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring,PetscViewer);
1144 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring,PetscErrorCode (*)(void),void*);
1145 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring,PetscErrorCode (**)(void),void**);
1146 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
1147 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1148 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat,MatFDColoring,Vec,void *);
1149 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring,Vec);
1150 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring,PetscInt*,PetscInt*[]);
1151 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat,ISColoring,MatFDColoring);
1152 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring,PetscInt,PetscInt);
1153 
1154 
1155 /*S
1156      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring
1157 
1158    Level: beginner
1159 
1160   Concepts: coloring, sparse matrix product
1161 
1162 .seealso:  MatTransposeColoringCreate()
1163 S*/
1164 typedef struct _p_MatTransposeColoring* MatTransposeColoring;
1165 
1166 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat,ISColoring,MatTransposeColoring *);
1167 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring,Mat,Mat);
1168 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring,Mat,Mat);
1169 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring*);
1170 
1171 /*
1172     These routines are for partitioning matrices: currently used only
1173   for adjacency matrix, MatCreateMPIAdj().
1174 */
1175 
1176 /*S
1177      MatPartitioning - Object for managing the partitioning of a matrix or graph
1178 
1179    Level: beginner
1180 
1181   Concepts: partitioning
1182 
1183 .seealso:  MatPartitioningCreate(), MatPartitioningType
1184 S*/
1185 typedef struct _p_MatPartitioning* MatPartitioning;
1186 
1187 /*J
1188     MatPartitioningType - String with the name of a PETSc matrix partitioning
1189 
1190    Level: beginner
1191 dm
1192 .seealso: MatPartitioningCreate(), MatPartitioning
1193 J*/
1194 typedef const char* MatPartitioningType;
1195 #define MATPARTITIONINGCURRENT  "current"
1196 #define MATPARTITIONINGSQUARE   "square"
1197 #define MATPARTITIONINGPARMETIS "parmetis"
1198 #define MATPARTITIONINGCHACO    "chaco"
1199 #define MATPARTITIONINGPARTY    "party"
1200 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1201 
1202 
1203 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1204 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning,MatPartitioningType);
1205 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning,PetscInt);
1206 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning,Mat);
1207 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning,const PetscInt[]);
1208 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1209 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning,IS*);
1210 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning*);
1211 
1212 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[],PetscErrorCode (*)(MatPartitioning));
1213 
1214 
1215 
1216 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning,PetscViewer);
1217 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1218 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
1219 
1220 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1221 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1222 
1223 typedef enum { MP_CHACO_MULTILEVEL=1,MP_CHACO_SPECTRAL=2,MP_CHACO_LINEAR=4,MP_CHACO_RANDOM=5,MP_CHACO_SCATTERED=6 } MPChacoGlobalType;
1224 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1225 typedef enum { MP_CHACO_KERNIGHAN=1,MP_CHACO_NONE=2 } MPChacoLocalType;
1226 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1227 typedef enum { MP_CHACO_LANCZOS=0,MP_CHACO_RQI=1 } MPChacoEigenType;
1228 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1229 
1230 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning,MPChacoGlobalType);
1231 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning,MPChacoGlobalType*);
1232 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning,MPChacoLocalType);
1233 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning,MPChacoLocalType*);
1234 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning,PetscReal);
1235 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning,MPChacoEigenType);
1236 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning,MPChacoEigenType*);
1237 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning,PetscReal);
1238 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning,PetscReal*);
1239 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning,PetscInt);
1240 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning,PetscInt*);
1241 
1242 #define MP_PARTY_OPT "opt"
1243 #define MP_PARTY_LIN "lin"
1244 #define MP_PARTY_SCA "sca"
1245 #define MP_PARTY_RAN "ran"
1246 #define MP_PARTY_GBF "gbf"
1247 #define MP_PARTY_GCF "gcf"
1248 #define MP_PARTY_BUB "bub"
1249 #define MP_PARTY_DEF "def"
1250 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning,const char*);
1251 #define MP_PARTY_HELPFUL_SETS "hs"
1252 #define MP_PARTY_KERNIGHAN_LIN "kl"
1253 #define MP_PARTY_NONE "no"
1254 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning,const char*);
1255 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning,PetscReal);
1256 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning,PetscBool);
1257 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning,PetscBool);
1258 
1259 typedef enum { MP_PTSCOTCH_QUALITY,MP_PTSCOTCH_SPEED,MP_PTSCOTCH_BALANCE,MP_PTSCOTCH_SAFETY,MP_PTSCOTCH_SCALABILITY } MPPTScotchStrategyType;
1260 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1261 
1262 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning,PetscReal);
1263 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning,PetscReal*);
1264 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning,MPPTScotchStrategyType);
1265 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning,MPPTScotchStrategyType*);
1266 
1267 /*
1268     These routines are for coarsening matrices:
1269 */
1270 
1271 /*S
1272      MatCoarsen - Object for managing the coarsening of a graph (symmetric matrix)
1273 
1274    Level: beginner
1275 
1276   Concepts: coarsen
1277 
1278 .seealso:  MatCoarsenCreate), MatCoarsenType
1279 S*/
1280 typedef struct _p_MatCoarsen* MatCoarsen;
1281 
1282 /*J
1283     MatCoarsenType - String with the name of a PETSc matrix coarsen
1284 
1285    Level: beginner
1286 
1287 .seealso: MatCoarsenCreate(), MatCoarsen
1288 J*/
1289 typedef const char* MatCoarsenType;
1290 #define MATCOARSENMIS  "mis"
1291 #define MATCOARSENHEM  "hem"
1292 
1293 /* linked list for aggregates */
1294 typedef struct _PetscCDIntNd{
1295   struct _PetscCDIntNd *next;
1296   PetscInt             gid;
1297 }PetscCDIntNd;
1298 
1299 /* only used by node pool */
1300 typedef struct _PetscCDArrNd{
1301   struct _PetscCDArrNd *next;
1302   struct _PetscCDIntNd *array;
1303 }PetscCDArrNd;
1304 
1305 typedef struct _PetscCoarsenData{
1306   PetscCDArrNd pool_list;  /* node pool */
1307   PetscCDIntNd *new_node;
1308   PetscInt     new_left;
1309   PetscInt     chk_sz;
1310   PetscCDIntNd *extra_nodes;
1311   PetscCDIntNd **array;  /* Array of lists */
1312   PetscInt     size;
1313   Mat          mat;  /* cache a Mat for communication data */
1314 }PetscCoarsenData;
1315 
1316 PETSC_EXTERN PetscErrorCode MatCoarsenCreate(MPI_Comm,MatCoarsen*);
1317 PETSC_EXTERN PetscErrorCode MatCoarsenSetType(MatCoarsen,MatCoarsenType);
1318 PETSC_EXTERN PetscErrorCode MatCoarsenSetAdjacency(MatCoarsen,Mat);
1319 PETSC_EXTERN PetscErrorCode MatCoarsenSetGreedyOrdering(MatCoarsen,const IS);
1320 PETSC_EXTERN PetscErrorCode MatCoarsenSetStrictAggs(MatCoarsen,PetscBool);
1321 PETSC_EXTERN PetscErrorCode MatCoarsenGetData( MatCoarsen, PetscCoarsenData ** );
1322 PETSC_EXTERN PetscErrorCode MatCoarsenApply(MatCoarsen);
1323 PETSC_EXTERN PetscErrorCode MatCoarsenDestroy(MatCoarsen*);
1324 
1325 PETSC_EXTERN PetscErrorCode MatCoarsenRegister(const char[],PetscErrorCode (*)(MatCoarsen));
1326 
1327 
1328 
1329 PETSC_EXTERN PetscErrorCode MatCoarsenView(MatCoarsen,PetscViewer);
1330 PETSC_EXTERN PetscErrorCode MatCoarsenSetFromOptions(MatCoarsen);
1331 PETSC_EXTERN PetscErrorCode MatCoarsenGetType(MatCoarsen,MatCoarsenType*);
1332 PETSC_STATIC_INLINE PetscErrorCode MatCoarsenViewFromOptions(MatCoarsen A,PetscObject obj,const char name[]) {return PetscObjectViewFromOptions((PetscObject)A,obj,name);}
1333 
1334 PETSC_EXTERN PetscErrorCode MatMeshToVertexGraph(Mat,PetscInt,Mat*);
1335 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat,PetscInt,Mat*);
1336 
1337 /*
1338     If you add entries here you must also add them to petsc/finclude/petscmat.h
1339 */
1340 typedef enum { MATOP_SET_VALUES=0,
1341                MATOP_GET_ROW=1,
1342                MATOP_RESTORE_ROW=2,
1343                MATOP_MULT=3,
1344                MATOP_MULT_ADD=4,
1345                MATOP_MULT_TRANSPOSE=5,
1346                MATOP_MULT_TRANSPOSE_ADD=6,
1347                MATOP_SOLVE=7,
1348                MATOP_SOLVE_ADD=8,
1349                MATOP_SOLVE_TRANSPOSE=9,
1350                MATOP_SOLVE_TRANSPOSE_ADD=10,
1351                MATOP_LUFACTOR=11,
1352                MATOP_CHOLESKYFACTOR=12,
1353                MATOP_SOR=13,
1354                MATOP_TRANSPOSE=14,
1355                MATOP_GETINFO=15,
1356                MATOP_EQUAL=16,
1357                MATOP_GET_DIAGONAL=17,
1358                MATOP_DIAGONAL_SCALE=18,
1359                MATOP_NORM=19,
1360                MATOP_ASSEMBLY_BEGIN=20,
1361                MATOP_ASSEMBLY_END=21,
1362                MATOP_SET_OPTION=22,
1363                MATOP_ZERO_ENTRIES=23,
1364                MATOP_ZERO_ROWS=24,
1365                MATOP_LUFACTOR_SYMBOLIC=25,
1366                MATOP_LUFACTOR_NUMERIC=26,
1367                MATOP_CHOLESKY_FACTOR_SYMBOLIC=27,
1368                MATOP_CHOLESKY_FACTOR_NUMERIC=28,
1369                MATOP_SETUP_PREALLOCATION=29,
1370                MATOP_ILUFACTOR_SYMBOLIC=30,
1371                MATOP_ICCFACTOR_SYMBOLIC=31,
1372                /* MATOP_PLACEHOLDER_32=32, */
1373                /* MATOP_PLACEHOLDER_33=33, */
1374                MATOP_DUPLICATE=34,
1375                MATOP_FORWARD_SOLVE=35,
1376                MATOP_BACKWARD_SOLVE=36,
1377                MATOP_ILUFACTOR=37,
1378                MATOP_ICCFACTOR=38,
1379                MATOP_AXPY=39,
1380                MATOP_GET_SUBMATRICES=40,
1381                MATOP_INCREASE_OVERLAP=41,
1382                MATOP_GET_VALUES=42,
1383                MATOP_COPY=43,
1384                MATOP_GET_ROW_MAX=44,
1385                MATOP_SCALE=45,
1386                MATOP_SHIFT=46,
1387                MATOP_DIAGONAL_SET=47,
1388                MATOP_ZERO_ROWS_COLUMNS=48,
1389                MATOP_SET_RANDOM=49,
1390                MATOP_GET_ROW_IJ=50,
1391                MATOP_RESTORE_ROW_IJ=51,
1392                MATOP_GET_COLUMN_IJ=52,
1393                MATOP_RESTORE_COLUMN_IJ=53,
1394                MATOP_FDCOLORING_CREATE=54,
1395                MATOP_COLORING_PATCH=55,
1396                MATOP_SET_UNFACTORED=56,
1397                MATOP_PERMUTE=57,
1398                MATOP_SET_VALUES_BLOCKED=58,
1399                MATOP_GET_SUBMATRIX=59,
1400                MATOP_DESTROY=60,
1401                MATOP_VIEW=61,
1402                MATOP_CONVERT_FROM=62,
1403                MATOP_MATMAT_MULT=63,
1404                MATOP_MATMAT_MULT_SYMBOLIC=64,
1405                MATOP_MATMAT_MULT_NUMERIC=65,
1406                MATOP_SET_LOCAL_TO_GLOBAL_MAP=66,
1407                MATOP_SET_VALUES_LOCAL=67,
1408                MATOP_ZERO_ROWS_LOCAL=68,
1409                MATOP_GET_ROW_MAX_ABS=69,
1410                MATOP_GET_ROW_MIN_ABS=70,
1411                MATOP_CONVERT=71,
1412                MATOP_SET_COLORING=72,
1413                /* MATOP_PLACEHOLDER_73=73, */
1414                MATOP_SET_VALUES_ADIFOR=74,
1415                MATOP_FD_COLORING_APPLY=75,
1416                MATOP_SET_FROM_OPTIONS=76,
1417                MATOP_MULT_CONSTRAINED=77,
1418                MATOP_MULT_TRANSPOSE_CONSTRAIN=78,
1419                MATOP_FIND_ZERO_DIAGONALS=79,
1420                MATOP_MULT_MULTIPLE=80,
1421                MATOP_SOLVE_MULTIPLE=81,
1422                MATOP_GET_INERTIA=82,
1423                MATOP_LOAD=83,
1424                MATOP_IS_SYMMETRIC=84,
1425                MATOP_IS_HERMITIAN=85,
1426                MATOP_IS_STRUCTURALLY_SYMMETRIC=86,
1427                MATOP_SET_VALUES_BLOCKEDLOCAL=87,
1428                MATOP_GET_VECS=88,
1429                MATOP_MAT_MULT=89,
1430                MATOP_MAT_MULT_SYMBOLIC=90,
1431                MATOP_MAT_MULT_NUMERIC=91,
1432                MATOP_PTAP=92,
1433                MATOP_PTAP_SYMBOLIC=93,
1434                MATOP_PTAP_NUMERIC=94,
1435                MATOP_MAT_TRANSPOSE_MULT=95,
1436                MATOP_MAT_TRANSPOSE_MULT_SYMBO=96,
1437                MATOP_MAT_TRANSPOSE_MULT_NUMER=97,
1438                /* MATOP_PLACEHOLDER_98=98, */
1439                /* MATOP_PLACEHOLDER_99=99, */
1440                /* MATOP_PLACEHOLDER_100=100, */
1441                /* MATOP_PLACEHOLDER_101=101, */
1442                MATOP_CONJUGATE=102,
1443                /* MATOP_PLACEHOLDER_103=103, */
1444                MATOP_SET_VALUES_ROW=104,
1445                MATOP_REAL_PART=105,
1446                MATOP_IMAGINARY_PART=106,
1447                MATOP_GET_ROW_UPPER_TRIANGULAR=107,
1448                MATOP_RESTORE_ROW_UPPER_TRIANG=108,
1449                MATOP_MAT_SOLVE=109,
1450                MATOP_GET_REDUNDANT_MATRIX=110,
1451                MATOP_GET_ROW_MIN=111,
1452                MATOP_GET_COLUMN_VECTOR=112,
1453                MATOP_MISSING_DIAGONAL=113,
1454                MATOP_GET_SEQ_NONZERO_STRUCTUR=114,
1455                MATOP_CREATE=115,
1456                MATOP_GET_GHOSTS=116,
1457                MATOP_GET_LOCAL_SUB_MATRIX=117,
1458                MATOP_RESTORE_LOCALSUB_MATRIX=118,
1459                MATOP_MULT_DIAGONAL_BLOCK=119,
1460                MATOP_HERMITIAN_TRANSPOSE=120,
1461                MATOP_MULT_HERMITIAN_TRANSPOSE=121,
1462                MATOP_MULT_HERMITIAN_TRANS_ADD=122,
1463                MATOP_GET_MULTI_PROC_BLOCK=123,
1464                MATOP_FIND_NONZERO_ROWS=124,
1465                MATOP_GET_COLUMN_NORMS=125,
1466                MATOP_INVERT_BLOCK_DIAGONAL=126,
1467                /* MATOP_PLACEHOLDER_127=127, */
1468                MATOP_GET_SUB_MATRICES_PARALLE=128,
1469                MATOP_SET_VALUES_BATCH=129,
1470                MATOP_TRANSPOSE_MAT_MULT=130,
1471                MATOP_TRANSPOSE_MAT_MULT_SYMBO=131,
1472                MATOP_TRANSPOSE_MAT_MULT_NUMER=132,
1473                MATOP_TRANSPOSE_COLORING_CREAT=133,
1474                MATOP_TRANS_COLORING_APPLY_SPT=134,
1475                MATOP_TRANS_COLORING_APPLY_DEN=135,
1476                MATOP_RART=136,
1477                MATOP_RART_SYMBOLIC=137,
1478                MATOP_RART_NUMERIC=138,
1479                MATOP_SET_BLOCK_SIZES=139,
1480                MATOP_AYPX=140,
1481                MATOP_RESIDUAL=141,
1482                MATOP_FDCOLORING_SETUP=142,
1483                MATOP_MPICONCATENATESEQ=144
1484              } MatOperation;
1485 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat,MatOperation,PetscBool *);
1486 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat,MatOperation,void(*)(void));
1487 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat,MatOperation,void(**)(void));
1488 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat,void*);
1489 
1490 /*
1491    Codes for matrices stored on disk. By default they are
1492    stored in a universal format. By changing the format with
1493    PetscViewerSetFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
1494    be stored in a way natural for the matrix, for example dense matrices
1495    would be stored as dense. Matrices stored this way may only be
1496    read into matrices of the same type.
1497 */
1498 #define MATRIX_BINARY_FORMAT_DENSE -1
1499 
1500 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1501 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat,Mat*);
1502 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat,Mat);
1503 PETSC_EXTERN PetscErrorCode MatISGetMPIXAIJ(Mat,MatReuse,Mat*);
1504 
1505 /*S
1506      MatNullSpace - Object that removes a null space from a vector, i.e.
1507          orthogonalizes the vector to a subsapce
1508 
1509    Level: advanced
1510 
1511   Concepts: matrix; linear operator, null space
1512 
1513   Users manual sections:
1514 .   sec_singular
1515 
1516 .seealso:  MatNullSpaceCreate()
1517 S*/
1518 typedef struct _p_MatNullSpace* MatNullSpace;
1519 
1520 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm,PetscBool ,PetscInt,const Vec[],MatNullSpace*);
1521 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace,PetscErrorCode (*)(MatNullSpace,Vec,void*),void*);
1522 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace*);
1523 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace,Vec);
1524 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
1525 PETSC_EXTERN PetscErrorCode MatGetTransposeNullSpace(Mat, MatNullSpace *);
1526 PETSC_EXTERN PetscErrorCode MatSetTransposeNullSpace(Mat,MatNullSpace);
1527 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat,MatNullSpace);
1528 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat,MatNullSpace);
1529 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat,MatNullSpace*);
1530 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace,Mat,PetscBool  *);
1531 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace,PetscViewer);
1532 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace,PetscBool*,PetscInt*,const Vec**);
1533 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec,MatNullSpace*);
1534 
1535 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat,IS);
1536 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1537 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat,PetscInt *);
1538 PETSC_EXTERN PetscErrorCode MatSeqBAIJInvertBlockDiagonal(Mat);
1539 
1540 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat,PetscInt,Mat*);
1541 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat,PetscInt,Mat*);
1542 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat,Mat*);
1543 
1544 PETSC_EXTERN PetscErrorCode MatComputeExplicitOperator(Mat,Mat*);
1545 
1546 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat,Vec);
1547 
1548 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
1549 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat,Vec,Vec);
1550 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat,PetscErrorCode(*)(void*,Vec,Vec),void*);
1551 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat,PetscErrorCode (*)(void*,PetscInt,Vec,PetscScalar*));
1552 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat,PetscErrorCode (*)(void*,Vec));
1553 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat,PetscScalar[],PetscInt);
1554 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
1555 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat,PetscReal);
1556 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat,PetscInt);
1557 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat,PetscScalar *);
1558 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat,const char[]);
1559 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void*,Vec,Vec,PetscScalar*);
1560 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat,PetscErrorCode (*)(void*,Vec,Vec,PetscScalar*),void*);
1561 
1562 /*S
1563     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
1564               Jacobian vector products
1565 
1566     Notes: MATMFFD is a specific MatType which uses the MatMFFD data structure
1567 
1568            MatMFFD*() methods actually take the Mat as their first argument. Not a MatMFFD data structure
1569 
1570     Level: developer
1571 
1572 .seealso: MATMFFD, MatCreateMFFD(), MatMFFDSetFuction(), MatMFFDSetType(), MatMFFDRegister()
1573 S*/
1574 typedef struct _p_MatMFFD* MatMFFD;
1575 
1576 /*J
1577     MatMFFDType - algorithm used to compute the h used in computing matrix-vector products via differencing of the function
1578 
1579    Level: beginner
1580 
1581 .seealso: MatMFFDSetType(), MatMFFDRegister()
1582 J*/
1583 typedef const char* MatMFFDType;
1584 #define MATMFFD_DS  "ds"
1585 #define MATMFFD_WP  "wp"
1586 
1587 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat,MatMFFDType);
1588 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[],PetscErrorCode (*)(MatMFFD));
1589 
1590 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat,PetscReal);
1591 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat,PetscBool );
1592 
1593 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
1594 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
1595 
1596 /*
1597    PETSc interface to MUMPS
1598 */
1599 #ifdef PETSC_HAVE_MUMPS
1600 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat,PetscInt,PetscInt);
1601 PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat,PetscInt,PetscInt*);
1602 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat,PetscInt,PetscReal);
1603 PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat,PetscInt,PetscReal*);
1604 
1605 PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat,PetscInt,PetscInt*);
1606 PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat,PetscInt,PetscInt*);
1607 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat,PetscInt,PetscReal*);
1608 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat,PetscInt,PetscReal*);
1609 
1610 PETSC_EXTERN PetscErrorCode MatMumpsSetSchurIndices(Mat,PetscInt,PetscInt[]);
1611 PETSC_EXTERN PetscErrorCode MatMumpsInvertSchurComplement(Mat);
1612 PETSC_EXTERN PetscErrorCode MatMumpsCreateSchurComplement(Mat,Mat*);
1613 PETSC_EXTERN PetscErrorCode MatMumpsGetSchurComplement(Mat,Mat*);
1614 PETSC_EXTERN PetscErrorCode MatMumpsRestoreSchurComplement(Mat,Mat*);
1615 PETSC_EXTERN PetscErrorCode MatMumpsSolveSchurComplement(Mat,Vec,Vec);
1616 PETSC_EXTERN PetscErrorCode MatMumpsSolveSchurComplementTranspose(Mat,Vec,Vec);
1617 #endif
1618 
1619 /*
1620    PETSc interface to Mkl_Pardiso
1621 */
1622 #ifdef PETSC_HAVE_MKL_PARDISO
1623 PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat,PetscInt,PetscInt);
1624 #endif
1625 
1626 /*
1627    PETSc interface to Mkl_CPardiso
1628 */
1629 #ifdef PETSC_HAVE_MKL_CPARDISO
1630 PETSC_EXTERN PetscErrorCode MatMkl_CPardisoSetCntl(Mat,PetscInt,PetscInt);
1631 #endif
1632 
1633 /*
1634    PETSc interface to SUPERLU
1635 */
1636 #ifdef PETSC_HAVE_SUPERLU
1637 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat,PetscReal);
1638 #endif
1639 
1640 #ifdef PETSC_HAVE_CUDA
1641 /*E
1642     MatCUSPARSEStorageFormat - indicates the storage format for CUSPARSE (GPU)
1643     matrices.
1644 
1645     Not Collective
1646 
1647 +   MAT_CUSPARSE_CSR - Compressed Sparse Row
1648 .   MAT_CUSPARSE_ELL - Ellpack (requires CUDA 4.2 or later).
1649 -   MAT_CUSPARSE_HYB - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
1650 
1651     Level: intermediate
1652 
1653    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1654 
1655 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEFormatOperation
1656 E*/
1657 
1658 typedef enum {MAT_CUSPARSE_CSR, MAT_CUSPARSE_ELL, MAT_CUSPARSE_HYB} MatCUSPARSEStorageFormat;
1659 
1660 /* these will be strings associated with enumerated type defined above */
1661 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
1662 
1663 /*E
1664     MatCUSPARSEFormatOperation - indicates the operation of CUSPARSE (GPU)
1665     matrices whose operation should use a particular storage format.
1666 
1667     Not Collective
1668 
1669 +   MAT_CUSPARSE_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1670 .   MAT_CUSPARSE_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1671 .   MAT_CUSPARSE_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1672 -   MAT_CUSPARSE_ALL - sets the storage format for all CUSPARSE (GPU) matrices
1673 
1674     Level: intermediate
1675 
1676 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEStorageFormat
1677 E*/
1678 typedef enum {MAT_CUSPARSE_MULT_DIAG, MAT_CUSPARSE_MULT_OFFDIAG, MAT_CUSPARSE_MULT, MAT_CUSPARSE_ALL} MatCUSPARSEFormatOperation;
1679 
1680 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1681 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1682 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat,MatCUSPARSEFormatOperation,MatCUSPARSEStorageFormat);
1683 #endif
1684 
1685 #if defined(PETSC_HAVE_CUSP)
1686 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1687 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1688 
1689 /*E
1690     MatCUSPStorageFormat - indicates the storage format for CUSP (GPU)
1691     matrices.
1692 
1693     Not Collective
1694 
1695 +   MAT_CUSP_CSR - Compressed Sparse Row
1696 .   MAT_CUSP_DIA - Diagonal
1697 -   MAT_CUSP_ELL - Ellpack
1698 
1699     Level: intermediate
1700 
1701    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1702 
1703 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1704 E*/
1705 typedef enum {MAT_CUSP_CSR, MAT_CUSP_DIA, MAT_CUSP_ELL} MatCUSPStorageFormat;
1706 
1707 /* these will be strings associated with enumerated type defined above */
1708 PETSC_EXTERN const char *const MatCUSPStorageFormats[];
1709 
1710 /*E
1711     MatCUSPFormatOperation - indicates the operation of CUSP (GPU)
1712     matrices whose operation should use a particular storage format.
1713 
1714     Not Collective
1715 
1716 +   MAT_CUSP_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1717 .   MAT_CUSP_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1718 .   MAT_CUSP_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1719 -   MAT_CUSP_ALL - sets the storage format for all CUSP (GPU) matrices
1720 
1721     Level: intermediate
1722 
1723    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1724 
1725 .seealso: MatCUSPSetFormat(), MatCUSPStorageFormat
1726 E*/
1727 typedef enum {MAT_CUSP_MULT_DIAG, MAT_CUSP_MULT_OFFDIAG, MAT_CUSP_MULT, MAT_CUSP_ALL} MatCUSPFormatOperation;
1728 
1729 PETSC_EXTERN PetscErrorCode MatCUSPSetFormat(Mat,MatCUSPFormatOperation,MatCUSPStorageFormat);
1730 #endif
1731 
1732 #if defined(PETSC_HAVE_VIENNACL)
1733 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1734 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1735 #endif
1736 
1737 /*
1738    PETSc interface to FFTW
1739 */
1740 #if defined(PETSC_HAVE_FFTW)
1741 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat,Vec,Vec);
1742 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat,Vec,Vec);
1743 PETSC_EXTERN PetscErrorCode MatCreateVecsFFTW(Mat,Vec*,Vec*,Vec*);
1744 #endif
1745 
1746 /*
1747    PETSc interface to ELEMENTAL
1748 */
1749 #if defined(PETSC_HAVE_ELEMENTAL)
1750 #if defined(PETSC_USE_COMPLEX)
1751 typedef El::Complex<PetscReal> PetscElemScalar;
1752 #else
1753 typedef PetscScalar PetscElemScalar;
1754 #endif
1755 PETSC_EXTERN PetscErrorCode PetscElementalInitializePackage(void);
1756 PETSC_EXTERN PetscErrorCode PetscElementalFinalizePackage(void);
1757 #endif
1758 
1759 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm,PetscInt,const IS[],PetscInt,const IS[],const Mat[],Mat*);
1760 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat,PetscInt*,PetscInt*);
1761 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat,IS[],IS[]);
1762 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat,IS[],IS[]);
1763 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat,PetscInt*,PetscInt*,Mat***);
1764 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat,PetscInt,PetscInt,Mat*);
1765 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat,VecType);
1766 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat,PetscInt,const IS[],PetscInt,const IS[],const Mat[]);
1767 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat,PetscInt,PetscInt,Mat);
1768 
1769 PETSC_EXTERN PetscErrorCode MatChop(Mat,PetscReal);
1770 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat,PetscReal,PetscInt*);
1771 
1772 PETSC_EXTERN PetscErrorCode MatSubdomainsCreateCoalesce(Mat,PetscInt,PetscInt*,IS**);
1773 
1774 #endif
1775