xref: /petsc/include/petscmat.h (revision 27538973bb5b2717b99bd0d7bcba53e65c6020c5)
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 PETSC_EXTERN PetscErrorCode MatMPIAIJSetUseScalableIncreaseOverlap(Mat,PetscBool);
512 
513 PETSC_EXTERN PetscErrorCode MatMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
514 PETSC_EXTERN PetscErrorCode MatMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
515 PETSC_EXTERN PetscErrorCode MatMatMultNumeric(Mat,Mat,Mat);
516 
517 PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
518 PETSC_EXTERN PetscErrorCode MatMatMatMultSymbolic(Mat,Mat,Mat,PetscReal,Mat*);
519 PETSC_EXTERN PetscErrorCode MatMatMatMultNumeric(Mat,Mat,Mat,Mat);
520 
521 PETSC_EXTERN PetscErrorCode MatPtAP(Mat,Mat,MatReuse,PetscReal,Mat*);
522 PETSC_EXTERN PetscErrorCode MatPtAPSymbolic(Mat,Mat,PetscReal,Mat*);
523 PETSC_EXTERN PetscErrorCode MatPtAPNumeric(Mat,Mat,Mat);
524 PETSC_EXTERN PetscErrorCode MatRARt(Mat,Mat,MatReuse,PetscReal,Mat*);
525 PETSC_EXTERN PetscErrorCode MatRARtSymbolic(Mat,Mat,PetscReal,Mat*);
526 PETSC_EXTERN PetscErrorCode MatRARtNumeric(Mat,Mat,Mat);
527 
528 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
529 PETSC_EXTERN PetscErrorCode MatTransposetMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
530 PETSC_EXTERN PetscErrorCode MatTransposetMatMultNumeric(Mat,Mat,Mat);
531 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat,Mat,MatReuse,PetscReal,Mat*);
532 PETSC_EXTERN PetscErrorCode MatMatTransposeMultSymbolic(Mat,Mat,PetscReal,Mat*);
533 PETSC_EXTERN PetscErrorCode MatMatTransposeMultNumeric(Mat,Mat,Mat);
534 
535 PETSC_EXTERN PetscErrorCode MatAXPY(Mat,PetscScalar,Mat,MatStructure);
536 PETSC_EXTERN PetscErrorCode MatAYPX(Mat,PetscScalar,Mat,MatStructure);
537 
538 PETSC_EXTERN PetscErrorCode MatScale(Mat,PetscScalar);
539 PETSC_EXTERN PetscErrorCode MatShift(Mat,PetscScalar);
540 
541 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
542 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
543 PETSC_EXTERN PetscErrorCode MatGetLayouts(Mat,PetscLayout*,PetscLayout*);
544 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
545 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
546 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
547 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
548 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
549 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
550 
551 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat,PetscInt,PetscInt);
552 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat,PetscInt*,PetscInt*,PetscInt*,PetscInt*);
553 
554 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat,Vec,Vec);
555 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat,Vec,Vec,Vec);
556 PETSC_EXTERN PetscErrorCode MatRestrict(Mat,Vec,Vec);
557 PETSC_EXTERN PetscErrorCode MatCreateVecs(Mat,Vec*,Vec*);
558 PETSC_DEPRECATED("Use MatCreateVecs()") PETSC_STATIC_INLINE PetscErrorCode MatGetVecs(Mat mat,Vec *x,Vec *y) {return MatCreateVecs(mat,x,y);}
559 PETSC_EXTERN PetscErrorCode MatCreateRedundantMatrix(Mat,PetscInt,MPI_Comm,MatReuse,Mat*);
560 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat,MPI_Comm,MatReuse,Mat*);
561 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat,IS*);
562 PETSC_EXTERN PetscErrorCode MatFindOffBlockDiagonalEntries(Mat,IS*);
563 PETSC_EXTERN PetscErrorCode MatCreateMPIMatConcatenateSeqMat(MPI_Comm,Mat,PetscInt,MatReuse,Mat*);
564 
565 /*MC
566    MatSetValue - Set a single entry into a matrix.
567 
568    Not collective
569 
570    Synopsis:
571      #include <petscmat.h>
572      PetscErrorCode MatSetValue(Mat m,PetscInt row,PetscInt col,PetscScalar value,InsertMode mode)
573 
574    Input Parameters:
575 +  m - the matrix
576 .  row - the row location of the entry
577 .  col - the column location of the entry
578 .  value - the value to insert
579 -  mode - either INSERT_VALUES or ADD_VALUES
580 
581    Notes:
582    For efficiency one should use MatSetValues() and set several or many
583    values simultaneously if possible.
584 
585    Level: beginner
586 
587 .seealso: MatSetValues(), MatSetValueLocal()
588 M*/
589 PETSC_STATIC_INLINE PetscErrorCode MatSetValue(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValues(v,1,&i,1,&j,&va,mode);}
590 
591 PETSC_STATIC_INLINE PetscErrorCode MatGetValue(Mat v,PetscInt i,PetscInt j,PetscScalar *va) {return MatGetValues(v,1,&i,1,&j,va);}
592 
593 PETSC_STATIC_INLINE PetscErrorCode MatSetValueLocal(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValuesLocal(v,1,&i,1,&j,&va,mode);}
594 
595 /*MC
596    MatPreallocateInitialize - Begins the block of code that will count the number of nonzeros per
597        row in a matrix providing the data that one can use to correctly preallocate the matrix.
598 
599    Synopsis:
600    #include <petscmat.h>
601    PetscErrorCode MatPreallocateInitialize(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
602 
603    Collective on MPI_Comm
604 
605    Input Parameters:
606 +  comm - the communicator that will share the eventually allocated matrix
607 .  nrows - the number of LOCAL rows in the matrix
608 -  ncols - the number of LOCAL columns in the matrix
609 
610    Output Parameters:
611 +  dnz - the array that will be passed to the matrix preallocation routines
612 -  ozn - the other array passed to the matrix preallocation routines
613 
614    Level: intermediate
615 
616    Notes:
617     See Users-Manual: ch_performance for more details.
618 
619    Do not malloc or free dnz and onz, that is handled internally by these routines
620 
621    Use MatPreallocateInitializeSymmetric() for symmetric matrices (MPISBAIJ matrices)
622 
623    This is a MACRO not a function because it has a leading { that is closed by PetscPreallocateFinalize().
624 
625   Concepts: preallocation^Matrix
626 
627 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
628           MatPreallocateInitializeSymmetric(), MatPreallocateSymmetricSetLocalBlock()
629 M*/
630 #define MatPreallocateInitialize(comm,nrows,ncols,dnz,onz) 0; \
631 { \
632   PetscErrorCode _4_ierr; PetscInt __nrows = (nrows),__ctmp = (ncols),__rstart,__start,__end; \
633   _4_ierr = PetscCalloc2(__nrows,&dnz,__nrows,&onz);CHKERRQ(_4_ierr); \
634   __start = 0; __end = __start;                                         \
635   _4_ierr = MPI_Scan(&__ctmp,&__end,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __start = __end - __ctmp;\
636   _4_ierr = MPI_Scan(&__nrows,&__rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __nrows;
637 
638 /*MC
639    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
640        inserted using a local number of the rows and columns
641 
642    Synopsis:
643    #include <petscmat.h>
644    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
645 
646    Not Collective
647 
648    Input Parameters:
649 +  map - the row mapping from local numbering to global numbering
650 .  nrows - the number of rows indicated
651 .  rows - the indices of the rows
652 .  cmap - the column mapping from local to global numbering
653 .  ncols - the number of columns in the matrix
654 .  cols - the columns indicated
655 .  dnz - the array that will be passed to the matrix preallocation routines
656 -  ozn - the other array passed to the matrix preallocation routines
657 
658    Level: intermediate
659 
660    Notes:
661     See Users-Manual: ch_performance for more details.
662 
663    Do not malloc or free dnz and onz, that is handled internally by these routines
664 
665   Concepts: preallocation^Matrix
666 
667 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
668           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock()
669 M*/
670 #define MatPreallocateSetLocal(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
671 {\
672   PetscInt __l;\
673   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
674   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
675   for (__l=0;__l<nrows;__l++) {\
676     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
677   }\
678 }
679 
680 /*MC
681    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
682        inserted using a local number of the rows and columns
683 
684    Synopsis:
685    #include <petscmat.h>
686    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
687 
688    Not Collective
689 
690    Input Parameters:
691 +  map - the row mapping from local numbering to global numbering
692 .  nrows - the number of rows indicated
693 .  rows - the indices of the rows
694 .  cmap - the column mapping from local to global numbering
695 .  ncols - the number of columns in the matrix
696 .  cols - the columns indicated
697 .  dnz - the array that will be passed to the matrix preallocation routines
698 -  ozn - the other array passed to the matrix preallocation routines
699 
700    Level: intermediate
701 
702    Notes:
703     See Users-Manual: ch_performance for more details.
704 
705    Do not malloc or free dnz and onz, that is handled internally by these routines
706 
707   Concepts: preallocation^Matrix
708 
709 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
710           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock()
711 M*/
712 #define MatPreallocateSetLocalBlock(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
713 {\
714   PetscInt __l;\
715   _4_ierr = ISLocalToGlobalMappingApplyBlock(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
716   _4_ierr = ISLocalToGlobalMappingApplyBlock(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
717   for (__l=0;__l<nrows;__l++) {\
718     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
719   }\
720 }
721 
722 /*MC
723    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
724        inserted using a local number of the rows and columns
725 
726    Synopsis:
727    #include <petscmat.h>
728    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
729 
730    Not Collective
731 
732    Input Parameters:
733 +  map - the mapping between local numbering and global numbering
734 .  nrows - the number of rows indicated
735 .  rows - the indices of the rows
736 .  ncols - the number of columns in the matrix
737 .  cols - the columns indicated
738 .  dnz - the array that will be passed to the matrix preallocation routines
739 -  ozn - the other array passed to the matrix preallocation routines
740 
741    Level: intermediate
742 
743    Notes:
744     See Users-Manual: ch_performance for more details.
745 
746    Do not malloc or free dnz and onz that is handled internally by these routines
747 
748   Concepts: preallocation^Matrix
749 
750 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateInitialize(),
751           MatPreallocateInitialize(),  MatPreallocateSetLocal()
752 M*/
753 #define MatPreallocateSymmetricSetLocalBlock(map,nrows,rows,ncols,cols,dnz,onz) 0;\
754 {\
755   PetscInt __l;\
756   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
757   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
758   for (__l=0;__l<nrows;__l++) {\
759     _4_ierr = MatPreallocateSymmetricSetBlock((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
760   }\
761 }
762 /*MC
763    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
764        inserted using a local number of the rows and columns
765 
766    Synopsis:
767    #include <petscmat.h>
768    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
769 
770    Not Collective
771 
772    Input Parameters:
773 +  row - the row
774 .  ncols - the number of columns in the matrix
775 -  cols - the columns indicated
776 
777    Output Parameters:
778 +  dnz - the array that will be passed to the matrix preallocation routines
779 -  ozn - the other array passed to the matrix preallocation routines
780 
781    Level: intermediate
782 
783    Notes:
784     See Users-Manual: ch_performance for more details.
785 
786    Do not malloc or free dnz and onz that is handled internally by these routines
787 
788    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
789 
790   Concepts: preallocation^Matrix
791 
792 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
793           MatPreallocateInitialize(), MatPreallocateSetLocal()
794 M*/
795 #define MatPreallocateSet(row,nc,cols,dnz,onz) 0;\
796 { PetscInt __i; \
797   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);\
798   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);\
799   for (__i=0; __i<nc; __i++) {\
800     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
801     else dnz[row - __rstart]++;\
802   }\
803 }
804 
805 /*MC
806    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
807        inserted using a local number of the rows and columns
808 
809    Synopsis:
810    #include <petscmat.h>
811    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
812 
813    Not Collective
814 
815    Input Parameters:
816 +  nrows - the number of rows indicated
817 .  rows - the indices of the rows
818 .  ncols - the number of columns in the matrix
819 .  cols - the columns indicated
820 .  dnz - the array that will be passed to the matrix preallocation routines
821 -  ozn - the other array passed to the matrix preallocation routines
822 
823    Level: intermediate
824 
825    Notes:
826     See Users-Manual: ch_performance for more details.
827 
828    Do not malloc or free dnz and onz that is handled internally by these routines
829 
830    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
831 
832   Concepts: preallocation^Matrix
833 
834 .seealso: MatPreallocateFinalize(), MatPreallocateSet(),  MatPreallocateInitialize(),
835           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
836 M*/
837 #define MatPreallocateSymmetricSetBlock(row,nc,cols,dnz,onz) 0;\
838 { PetscInt __i; \
839   for (__i=0; __i<nc; __i++) {\
840     if (cols[__i] >= __end) onz[row - __rstart]++; \
841     else if (cols[__i] >= row) dnz[row - __rstart]++;\
842   }\
843 }
844 
845 /*MC
846    MatPreallocateLocation -  An alternative to MatPreallocationSet() that puts the nonzero locations into the matrix if it exists
847 
848    Synopsis:
849    #include <petscmat.h>
850    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
851 
852    Not Collective
853 
854    Input Parameters:
855 .  A - matrix
856 .  row - row where values exist (must be local to this process)
857 .  ncols - number of columns
858 .  cols - columns with nonzeros
859 .  dnz - the array that will be passed to the matrix preallocation routines
860 -  ozn - the other array passed to the matrix preallocation routines
861 
862    Level: intermediate
863 
864    Notes:
865     See Users-Manual: ch_performance for more details.
866 
867    Do not malloc or free dnz and onz that is handled internally by these routines
868 
869    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
870 
871   Concepts: preallocation^Matrix
872 
873 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
874           MatPreallocateSymmetricSetLocalBlock()
875 M*/
876 #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);}
877 
878 
879 /*MC
880    MatPreallocateFinalize - Ends the block of code that will count the number of nonzeros per
881        row in a matrix providing the data that one can use to correctly preallocate the matrix.
882 
883    Synopsis:
884    #include <petscmat.h>
885    PetscErrorCode MatPreallocateFinalize(PetscInt *dnz, PetscInt *onz)
886 
887    Collective on MPI_Comm
888 
889    Input Parameters:
890 +  dnz - the array that was be passed to the matrix preallocation routines
891 -  ozn - the other array passed to the matrix preallocation routines
892 
893    Level: intermediate
894 
895    Notes:
896     See Users-Manual: ch_performance for more details.
897 
898    Do not malloc or free dnz and onz that is handled internally by these routines
899 
900    This is a MACRO not a function because it closes the { started in MatPreallocateInitialize().
901 
902   Concepts: preallocation^Matrix
903 
904 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
905           MatPreallocateSymmetricSetLocalBlock()
906 M*/
907 #define MatPreallocateFinalize(dnz,onz) 0;_4_ierr = PetscFree2(dnz,onz);CHKERRQ(_4_ierr);}
908 
909 /* Routines unique to particular data structures */
910 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat,void *);
911 
912 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat,IS*,IS*);
913 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat,PetscInt *,PetscInt *[],PetscInt *);
914 
915 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat,PetscInt[]);
916 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat,PetscInt[]);
917 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
918 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
919 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
920 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*,PetscInt,PetscBool);
921 
922 #define MAT_SKIP_ALLOCATION -4
923 
924 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
925 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
926 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat,PetscInt,const PetscInt[]);
927 
928 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
929 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
930 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
931 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat,const PetscInt [],const PetscInt [],const PetscScalar []);
932 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
933 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]);
934 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
935 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat,PetscInt[],PetscInt[],PetscInt[]);
936 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
937 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
938 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
939 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
940 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat,Mat*);
941 
942 PETSC_EXTERN PetscErrorCode MatISSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
943 PETSC_EXTERN PetscErrorCode MatSeqDenseSetLDA(Mat,PetscInt);
944 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat,Mat*);
945 
946 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
947 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
948 
949 PETSC_EXTERN PetscErrorCode MatDAADSetCtx(Mat,void*);
950 
951 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat,IS*);
952 /*
953   These routines are not usually accessed directly, rather solving is
954   done through the KSP and PC interfaces.
955 */
956 
957 /*J
958     MatOrderingType - String with the name of a PETSc matrix ordering
959 
960    Level: beginner
961 
962 .seealso: MatGetOrdering()
963 J*/
964 typedef const char* MatOrderingType;
965 #define MATORDERINGNATURAL     "natural"
966 #define MATORDERINGND          "nd"
967 #define MATORDERING1WD         "1wd"
968 #define MATORDERINGRCM         "rcm"
969 #define MATORDERINGQMD         "qmd"
970 #define MATORDERINGROWLENGTH   "rowlength"
971 #define MATORDERINGWBM         "wbm"
972 #define MATORDERINGSPECTRAL    "spectral"
973 #define MATORDERINGAMD         "amd"            /* only works if UMFPACK is installed with PETSc */
974 
975 PETSC_EXTERN PetscErrorCode MatGetOrdering(Mat,MatOrderingType,IS*,IS*);
976 PETSC_EXTERN PetscErrorCode MatGetOrderingList(PetscFunctionList*);
977 PETSC_EXTERN PetscErrorCode MatOrderingRegister(const char[],PetscErrorCode(*)(Mat,MatOrderingType,IS*,IS*));
978 PETSC_EXTERN PetscFunctionList MatOrderingList;
979 
980 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
981 PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat,PetscReal,PetscBool,Mat*);
982 
983 /*S
984     MatFactorShiftType - Numeric Shift.
985 
986    Level: beginner
987 
988 S*/
989 typedef enum {MAT_SHIFT_NONE,MAT_SHIFT_NONZERO,MAT_SHIFT_POSITIVE_DEFINITE,MAT_SHIFT_INBLOCKS} MatFactorShiftType;
990 PETSC_EXTERN const char *const MatFactorShiftTypes[];
991 PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];
992 
993 /*S
994    MatFactorInfo - Data passed into the matrix factorization routines, and information about the resulting factorization
995 
996    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE, that is use
997 $     MatFactorInfo  info(MAT_FACTORINFO_SIZE)
998 
999    Notes: These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
1000 
1001       You can use MatFactorInfoInitialize() to set default values.
1002 
1003    Level: developer
1004 
1005 .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor(),
1006           MatFactorInfoInitialize()
1007 
1008 S*/
1009 typedef struct {
1010   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
1011   PetscReal     usedt;
1012   PetscReal     dt;             /* drop tolerance */
1013   PetscReal     dtcol;          /* tolerance for pivoting */
1014   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
1015   PetscReal     fill;           /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1016   PetscReal     levels;         /* ICC/ILU(levels) */
1017   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1018                                    factorization may be faster if do not pivot */
1019   PetscReal     zeropivot;      /* pivot is called zero if less than this */
1020   PetscReal     shifttype;      /* type of shift added to matrix factor to prevent zero pivots */
1021   PetscReal     shiftamount;     /* how large the shift is */
1022 } MatFactorInfo;
1023 
1024 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo*);
1025 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat,IS,const MatFactorInfo*);
1026 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1027 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat,Mat,const MatFactorInfo*);
1028 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat,IS,IS,const MatFactorInfo*);
1029 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat,IS,IS,const MatFactorInfo*);
1030 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1031 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1032 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1033 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat,IS,const MatFactorInfo*);
1034 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat,Mat,const MatFactorInfo*);
1035 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat,PetscInt*,PetscInt*,PetscInt*);
1036 PETSC_EXTERN PetscErrorCode MatSolve(Mat,Vec,Vec);
1037 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat,Vec,Vec);
1038 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat,Vec,Vec);
1039 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat,Vec,Vec,Vec);
1040 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat,Vec,Vec);
1041 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
1042 PETSC_EXTERN PetscErrorCode MatSolves(Mat,Vecs,Vecs);
1043 
1044 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
1045 
1046 /*E
1047     MatSORType - What type of (S)SOR to perform
1048 
1049     Level: beginner
1050 
1051    May be bitwise ORd together
1052 
1053    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1054 
1055    MatSORType may be bitwise ORd together, so do not change the numbers
1056 
1057 .seealso: MatSOR()
1058 E*/
1059 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
1060               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
1061               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
1062               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
1063 PETSC_EXTERN PetscErrorCode MatSOR(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
1064 
1065 /*
1066     These routines are for efficiently computing Jacobians via finite differences.
1067 */
1068 
1069 /*S
1070      MatColoring - Object for managing the coloring of matrices.
1071 
1072    Level: beginner
1073 
1074   Concepts: matrix, coloring
1075 
1076 .seealso:  MatFDColoringCreate() ISColoring MatFDColoring
1077 S*/
1078 typedef struct _p_MatColoring* MatColoring;
1079 /*J
1080     MatColoringType - String with the name of a PETSc matrix coloring
1081 
1082    Level: beginner
1083 
1084 .seealso: MatColoringSetType(), MatColoring
1085 J*/
1086 
1087 typedef const  char*           MatColoringType;
1088 #define MATCOLORINGJP      "jp"
1089 #define MATCOLORINGPOWER   "power"
1090 #define MATCOLORINGNATURAL "natural"
1091 #define MATCOLORINGSL      "sl"
1092 #define MATCOLORINGLF      "lf"
1093 #define MATCOLORINGID      "id"
1094 #define MATCOLORINGGREEDY  "greedy"
1095 
1096 /*E
1097    MatColoringWeightType - Type of weight scheme
1098 
1099     Not Collective
1100 
1101 +   MAT_COLORING_RANDOM  - Random weights
1102 .   MAT_COLORING_LEXICAL - Lexical weighting based upon global numbering.
1103 -   MAT_COLORING_LF      - Last-first weighting.
1104 
1105     Level: intermediate
1106 
1107    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1108 
1109 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1110 E*/
1111 typedef enum {MAT_COLORING_WEIGHT_RANDOM,MAT_COLORING_WEIGHT_LEXICAL,MAT_COLORING_WEIGHT_LF,MAT_COLORING_WEIGHT_SL} MatColoringWeightType;
1112 
1113 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat,MatColoring*);
1114 PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat,PetscInt,PetscInt*);
1115 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring*);
1116 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring,PetscViewer);
1117 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring,MatColoringType);
1118 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1119 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring,PetscInt);
1120 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring,PetscInt*);
1121 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring,PetscInt);
1122 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring,PetscInt*);
1123 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring,ISColoring*);
1124 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[],PetscErrorCode(*)(MatColoring));
1125 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat,PetscInt,PetscInt,ISColoringValue[],ISColoring*);
1126 PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring,MatColoringWeightType);
1127 PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring,PetscReal*,PetscInt*);
1128 PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring,PetscReal **,PetscInt **lperm);
1129 
1130 /*S
1131      MatFDColoring - Object for computing a sparse Jacobian via finite differences
1132         and coloring
1133 
1134    Level: beginner
1135 
1136   Concepts: coloring, sparse Jacobian, finite differences
1137 
1138 .seealso:  MatFDColoringCreate()
1139 S*/
1140 typedef struct _p_MatFDColoring* MatFDColoring;
1141 
1142 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
1143 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring*);
1144 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring,PetscViewer);
1145 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring,PetscErrorCode (*)(void),void*);
1146 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring,PetscErrorCode (**)(void),void**);
1147 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
1148 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1149 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat,MatFDColoring,Vec,void *);
1150 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring,Vec);
1151 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring,PetscInt*,PetscInt*[]);
1152 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat,ISColoring,MatFDColoring);
1153 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring,PetscInt,PetscInt);
1154 
1155 
1156 /*S
1157      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring
1158 
1159    Level: beginner
1160 
1161   Concepts: coloring, sparse matrix product
1162 
1163 .seealso:  MatTransposeColoringCreate()
1164 S*/
1165 typedef struct _p_MatTransposeColoring* MatTransposeColoring;
1166 
1167 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat,ISColoring,MatTransposeColoring *);
1168 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring,Mat,Mat);
1169 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring,Mat,Mat);
1170 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring*);
1171 
1172 /*
1173     These routines are for partitioning matrices: currently used only
1174   for adjacency matrix, MatCreateMPIAdj().
1175 */
1176 
1177 /*S
1178      MatPartitioning - Object for managing the partitioning of a matrix or graph
1179 
1180    Level: beginner
1181 
1182   Concepts: partitioning
1183 
1184 .seealso:  MatPartitioningCreate(), MatPartitioningType
1185 S*/
1186 typedef struct _p_MatPartitioning* MatPartitioning;
1187 
1188 /*J
1189     MatPartitioningType - String with the name of a PETSc matrix partitioning
1190 
1191    Level: beginner
1192 dm
1193 .seealso: MatPartitioningCreate(), MatPartitioning
1194 J*/
1195 typedef const char* MatPartitioningType;
1196 #define MATPARTITIONINGCURRENT  "current"
1197 #define MATPARTITIONINGSQUARE   "square"
1198 #define MATPARTITIONINGPARMETIS "parmetis"
1199 #define MATPARTITIONINGCHACO    "chaco"
1200 #define MATPARTITIONINGPARTY    "party"
1201 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1202 #define MATPARTITIONINGHIERARCH  "hierarch"
1203 
1204 
1205 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1206 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning,MatPartitioningType);
1207 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning,PetscInt);
1208 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning,Mat);
1209 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning,const PetscInt[]);
1210 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1211 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning,IS*);
1212 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning*);
1213 
1214 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[],PetscErrorCode (*)(MatPartitioning));
1215 
1216 
1217 
1218 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning,PetscViewer);
1219 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1220 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
1221 
1222 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetRepartition(MatPartitioning part);
1223 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1224 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1225 
1226 typedef enum { MP_CHACO_MULTILEVEL=1,MP_CHACO_SPECTRAL=2,MP_CHACO_LINEAR=4,MP_CHACO_RANDOM=5,MP_CHACO_SCATTERED=6 } MPChacoGlobalType;
1227 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1228 typedef enum { MP_CHACO_KERNIGHAN=1,MP_CHACO_NONE=2 } MPChacoLocalType;
1229 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1230 typedef enum { MP_CHACO_LANCZOS=0,MP_CHACO_RQI=1 } MPChacoEigenType;
1231 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1232 
1233 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning,MPChacoGlobalType);
1234 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning,MPChacoGlobalType*);
1235 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning,MPChacoLocalType);
1236 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning,MPChacoLocalType*);
1237 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning,PetscReal);
1238 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning,MPChacoEigenType);
1239 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning,MPChacoEigenType*);
1240 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning,PetscReal);
1241 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning,PetscReal*);
1242 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning,PetscInt);
1243 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning,PetscInt*);
1244 
1245 #define MP_PARTY_OPT "opt"
1246 #define MP_PARTY_LIN "lin"
1247 #define MP_PARTY_SCA "sca"
1248 #define MP_PARTY_RAN "ran"
1249 #define MP_PARTY_GBF "gbf"
1250 #define MP_PARTY_GCF "gcf"
1251 #define MP_PARTY_BUB "bub"
1252 #define MP_PARTY_DEF "def"
1253 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning,const char*);
1254 #define MP_PARTY_HELPFUL_SETS "hs"
1255 #define MP_PARTY_KERNIGHAN_LIN "kl"
1256 #define MP_PARTY_NONE "no"
1257 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning,const char*);
1258 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning,PetscReal);
1259 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning,PetscBool);
1260 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning,PetscBool);
1261 
1262 typedef enum { MP_PTSCOTCH_QUALITY,MP_PTSCOTCH_SPEED,MP_PTSCOTCH_BALANCE,MP_PTSCOTCH_SAFETY,MP_PTSCOTCH_SCALABILITY } MPPTScotchStrategyType;
1263 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1264 
1265 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning,PetscReal);
1266 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning,PetscReal*);
1267 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning,MPPTScotchStrategyType);
1268 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning,MPPTScotchStrategyType*);
1269 
1270 /*
1271  * hierarchical partitioning
1272  */
1273 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetFineparts(MatPartitioning,IS*);
1274 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetCoarseparts(MatPartitioning,IS*);
1275 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNcoarseparts(MatPartitioning,PetscInt);
1276 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNfineparts(MatPartitioning, PetscInt);
1277 
1278 /*
1279     These routines are for coarsening matrices:
1280 */
1281 
1282 /*S
1283      MatCoarsen - Object for managing the coarsening of a graph (symmetric matrix)
1284 
1285    Level: beginner
1286 
1287   Concepts: coarsen
1288 
1289 .seealso:  MatCoarsenCreate), MatCoarsenType
1290 S*/
1291 typedef struct _p_MatCoarsen* MatCoarsen;
1292 
1293 /*J
1294     MatCoarsenType - String with the name of a PETSc matrix coarsen
1295 
1296    Level: beginner
1297 
1298 .seealso: MatCoarsenCreate(), MatCoarsen
1299 J*/
1300 typedef const char* MatCoarsenType;
1301 #define MATCOARSENMIS  "mis"
1302 #define MATCOARSENHEM  "hem"
1303 
1304 /* linked list for aggregates */
1305 typedef struct _PetscCDIntNd{
1306   struct _PetscCDIntNd *next;
1307   PetscInt             gid;
1308 }PetscCDIntNd;
1309 
1310 /* only used by node pool */
1311 typedef struct _PetscCDArrNd{
1312   struct _PetscCDArrNd *next;
1313   struct _PetscCDIntNd *array;
1314 }PetscCDArrNd;
1315 
1316 typedef struct _PetscCoarsenData{
1317   PetscCDArrNd pool_list;  /* node pool */
1318   PetscCDIntNd *new_node;
1319   PetscInt     new_left;
1320   PetscInt     chk_sz;
1321   PetscCDIntNd *extra_nodes;
1322   PetscCDIntNd **array;  /* Array of lists */
1323   PetscInt     size;
1324   Mat          mat;  /* cache a Mat for communication data */
1325 }PetscCoarsenData;
1326 
1327 PETSC_EXTERN PetscErrorCode MatCoarsenCreate(MPI_Comm,MatCoarsen*);
1328 PETSC_EXTERN PetscErrorCode MatCoarsenSetType(MatCoarsen,MatCoarsenType);
1329 PETSC_EXTERN PetscErrorCode MatCoarsenSetAdjacency(MatCoarsen,Mat);
1330 PETSC_EXTERN PetscErrorCode MatCoarsenSetGreedyOrdering(MatCoarsen,const IS);
1331 PETSC_EXTERN PetscErrorCode MatCoarsenSetStrictAggs(MatCoarsen,PetscBool);
1332 PETSC_EXTERN PetscErrorCode MatCoarsenGetData( MatCoarsen, PetscCoarsenData ** );
1333 PETSC_EXTERN PetscErrorCode MatCoarsenApply(MatCoarsen);
1334 PETSC_EXTERN PetscErrorCode MatCoarsenDestroy(MatCoarsen*);
1335 
1336 PETSC_EXTERN PetscErrorCode MatCoarsenRegister(const char[],PetscErrorCode (*)(MatCoarsen));
1337 
1338 
1339 
1340 PETSC_EXTERN PetscErrorCode MatCoarsenView(MatCoarsen,PetscViewer);
1341 PETSC_EXTERN PetscErrorCode MatCoarsenSetFromOptions(MatCoarsen);
1342 PETSC_EXTERN PetscErrorCode MatCoarsenGetType(MatCoarsen,MatCoarsenType*);
1343 PETSC_STATIC_INLINE PetscErrorCode MatCoarsenViewFromOptions(MatCoarsen A,PetscObject obj,const char name[]) {return PetscObjectViewFromOptions((PetscObject)A,obj,name);}
1344 
1345 PETSC_EXTERN PetscErrorCode MatMeshToVertexGraph(Mat,PetscInt,Mat*);
1346 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat,PetscInt,Mat*);
1347 
1348 /*
1349     If you add entries here you must also add them to petsc/finclude/petscmat.h
1350 */
1351 typedef enum { MATOP_SET_VALUES=0,
1352                MATOP_GET_ROW=1,
1353                MATOP_RESTORE_ROW=2,
1354                MATOP_MULT=3,
1355                MATOP_MULT_ADD=4,
1356                MATOP_MULT_TRANSPOSE=5,
1357                MATOP_MULT_TRANSPOSE_ADD=6,
1358                MATOP_SOLVE=7,
1359                MATOP_SOLVE_ADD=8,
1360                MATOP_SOLVE_TRANSPOSE=9,
1361                MATOP_SOLVE_TRANSPOSE_ADD=10,
1362                MATOP_LUFACTOR=11,
1363                MATOP_CHOLESKYFACTOR=12,
1364                MATOP_SOR=13,
1365                MATOP_TRANSPOSE=14,
1366                MATOP_GETINFO=15,
1367                MATOP_EQUAL=16,
1368                MATOP_GET_DIAGONAL=17,
1369                MATOP_DIAGONAL_SCALE=18,
1370                MATOP_NORM=19,
1371                MATOP_ASSEMBLY_BEGIN=20,
1372                MATOP_ASSEMBLY_END=21,
1373                MATOP_SET_OPTION=22,
1374                MATOP_ZERO_ENTRIES=23,
1375                MATOP_ZERO_ROWS=24,
1376                MATOP_LUFACTOR_SYMBOLIC=25,
1377                MATOP_LUFACTOR_NUMERIC=26,
1378                MATOP_CHOLESKY_FACTOR_SYMBOLIC=27,
1379                MATOP_CHOLESKY_FACTOR_NUMERIC=28,
1380                MATOP_SETUP_PREALLOCATION=29,
1381                MATOP_ILUFACTOR_SYMBOLIC=30,
1382                MATOP_ICCFACTOR_SYMBOLIC=31,
1383                /* MATOP_PLACEHOLDER_32=32, */
1384                /* MATOP_PLACEHOLDER_33=33, */
1385                MATOP_DUPLICATE=34,
1386                MATOP_FORWARD_SOLVE=35,
1387                MATOP_BACKWARD_SOLVE=36,
1388                MATOP_ILUFACTOR=37,
1389                MATOP_ICCFACTOR=38,
1390                MATOP_AXPY=39,
1391                MATOP_GET_SUBMATRICES=40,
1392                MATOP_INCREASE_OVERLAP=41,
1393                MATOP_GET_VALUES=42,
1394                MATOP_COPY=43,
1395                MATOP_GET_ROW_MAX=44,
1396                MATOP_SCALE=45,
1397                MATOP_SHIFT=46,
1398                MATOP_DIAGONAL_SET=47,
1399                MATOP_ZERO_ROWS_COLUMNS=48,
1400                MATOP_SET_RANDOM=49,
1401                MATOP_GET_ROW_IJ=50,
1402                MATOP_RESTORE_ROW_IJ=51,
1403                MATOP_GET_COLUMN_IJ=52,
1404                MATOP_RESTORE_COLUMN_IJ=53,
1405                MATOP_FDCOLORING_CREATE=54,
1406                MATOP_COLORING_PATCH=55,
1407                MATOP_SET_UNFACTORED=56,
1408                MATOP_PERMUTE=57,
1409                MATOP_SET_VALUES_BLOCKED=58,
1410                MATOP_GET_SUBMATRIX=59,
1411                MATOP_DESTROY=60,
1412                MATOP_VIEW=61,
1413                MATOP_CONVERT_FROM=62,
1414                MATOP_MATMAT_MULT=63,
1415                MATOP_MATMAT_MULT_SYMBOLIC=64,
1416                MATOP_MATMAT_MULT_NUMERIC=65,
1417                MATOP_SET_LOCAL_TO_GLOBAL_MAP=66,
1418                MATOP_SET_VALUES_LOCAL=67,
1419                MATOP_ZERO_ROWS_LOCAL=68,
1420                MATOP_GET_ROW_MAX_ABS=69,
1421                MATOP_GET_ROW_MIN_ABS=70,
1422                MATOP_CONVERT=71,
1423                MATOP_SET_COLORING=72,
1424                /* MATOP_PLACEHOLDER_73=73, */
1425                MATOP_SET_VALUES_ADIFOR=74,
1426                MATOP_FD_COLORING_APPLY=75,
1427                MATOP_SET_FROM_OPTIONS=76,
1428                MATOP_MULT_CONSTRAINED=77,
1429                MATOP_MULT_TRANSPOSE_CONSTRAIN=78,
1430                MATOP_FIND_ZERO_DIAGONALS=79,
1431                MATOP_MULT_MULTIPLE=80,
1432                MATOP_SOLVE_MULTIPLE=81,
1433                MATOP_GET_INERTIA=82,
1434                MATOP_LOAD=83,
1435                MATOP_IS_SYMMETRIC=84,
1436                MATOP_IS_HERMITIAN=85,
1437                MATOP_IS_STRUCTURALLY_SYMMETRIC=86,
1438                MATOP_SET_VALUES_BLOCKEDLOCAL=87,
1439                MATOP_GET_VECS=88,
1440                MATOP_MAT_MULT=89,
1441                MATOP_MAT_MULT_SYMBOLIC=90,
1442                MATOP_MAT_MULT_NUMERIC=91,
1443                MATOP_PTAP=92,
1444                MATOP_PTAP_SYMBOLIC=93,
1445                MATOP_PTAP_NUMERIC=94,
1446                MATOP_MAT_TRANSPOSE_MULT=95,
1447                MATOP_MAT_TRANSPOSE_MULT_SYMBO=96,
1448                MATOP_MAT_TRANSPOSE_MULT_NUMER=97,
1449                /* MATOP_PLACEHOLDER_98=98, */
1450                /* MATOP_PLACEHOLDER_99=99, */
1451                /* MATOP_PLACEHOLDER_100=100, */
1452                /* MATOP_PLACEHOLDER_101=101, */
1453                MATOP_CONJUGATE=102,
1454                /* MATOP_PLACEHOLDER_103=103, */
1455                MATOP_SET_VALUES_ROW=104,
1456                MATOP_REAL_PART=105,
1457                MATOP_IMAGINARY_PART=106,
1458                MATOP_GET_ROW_UPPER_TRIANGULAR=107,
1459                MATOP_RESTORE_ROW_UPPER_TRIANG=108,
1460                MATOP_MAT_SOLVE=109,
1461                MATOP_GET_REDUNDANT_MATRIX=110,
1462                MATOP_GET_ROW_MIN=111,
1463                MATOP_GET_COLUMN_VECTOR=112,
1464                MATOP_MISSING_DIAGONAL=113,
1465                MATOP_GET_SEQ_NONZERO_STRUCTUR=114,
1466                MATOP_CREATE=115,
1467                MATOP_GET_GHOSTS=116,
1468                MATOP_GET_LOCAL_SUB_MATRIX=117,
1469                MATOP_RESTORE_LOCALSUB_MATRIX=118,
1470                MATOP_MULT_DIAGONAL_BLOCK=119,
1471                MATOP_HERMITIAN_TRANSPOSE=120,
1472                MATOP_MULT_HERMITIAN_TRANSPOSE=121,
1473                MATOP_MULT_HERMITIAN_TRANS_ADD=122,
1474                MATOP_GET_MULTI_PROC_BLOCK=123,
1475                MATOP_FIND_NONZERO_ROWS=124,
1476                MATOP_GET_COLUMN_NORMS=125,
1477                MATOP_INVERT_BLOCK_DIAGONAL=126,
1478                /* MATOP_PLACEHOLDER_127=127, */
1479                MATOP_GET_SUB_MATRICES_PARALLE=128,
1480                MATOP_SET_VALUES_BATCH=129,
1481                MATOP_TRANSPOSE_MAT_MULT=130,
1482                MATOP_TRANSPOSE_MAT_MULT_SYMBO=131,
1483                MATOP_TRANSPOSE_MAT_MULT_NUMER=132,
1484                MATOP_TRANSPOSE_COLORING_CREAT=133,
1485                MATOP_TRANS_COLORING_APPLY_SPT=134,
1486                MATOP_TRANS_COLORING_APPLY_DEN=135,
1487                MATOP_RART=136,
1488                MATOP_RART_SYMBOLIC=137,
1489                MATOP_RART_NUMERIC=138,
1490                MATOP_SET_BLOCK_SIZES=139,
1491                MATOP_AYPX=140,
1492                MATOP_RESIDUAL=141,
1493                MATOP_FDCOLORING_SETUP=142,
1494                MATOP_MPICONCATENATESEQ=144
1495              } MatOperation;
1496 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat,MatOperation,PetscBool *);
1497 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat,MatOperation,void(*)(void));
1498 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat,MatOperation,void(**)(void));
1499 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat,void*);
1500 
1501 /*
1502    Codes for matrices stored on disk. By default they are
1503    stored in a universal format. By changing the format with
1504    PetscViewerSetFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
1505    be stored in a way natural for the matrix, for example dense matrices
1506    would be stored as dense. Matrices stored this way may only be
1507    read into matrices of the same type.
1508 */
1509 #define MATRIX_BINARY_FORMAT_DENSE -1
1510 
1511 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1512 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat,Mat*);
1513 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat,Mat);
1514 PETSC_EXTERN PetscErrorCode MatISGetMPIXAIJ(Mat,MatReuse,Mat*);
1515 
1516 /*S
1517      MatNullSpace - Object that removes a null space from a vector, i.e.
1518          orthogonalizes the vector to a subsapce
1519 
1520    Level: advanced
1521 
1522   Concepts: matrix; linear operator, null space
1523 
1524   Users manual sections:
1525 .   sec_singular
1526 
1527 .seealso:  MatNullSpaceCreate()
1528 S*/
1529 typedef struct _p_MatNullSpace* MatNullSpace;
1530 
1531 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm,PetscBool ,PetscInt,const Vec[],MatNullSpace*);
1532 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace,PetscErrorCode (*)(MatNullSpace,Vec,void*),void*);
1533 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace*);
1534 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace,Vec);
1535 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
1536 PETSC_EXTERN PetscErrorCode MatGetTransposeNullSpace(Mat, MatNullSpace *);
1537 PETSC_EXTERN PetscErrorCode MatSetTransposeNullSpace(Mat,MatNullSpace);
1538 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat,MatNullSpace);
1539 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat,MatNullSpace);
1540 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat,MatNullSpace*);
1541 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace,Mat,PetscBool  *);
1542 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace,PetscViewer);
1543 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace,PetscBool*,PetscInt*,const Vec**);
1544 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec,MatNullSpace*);
1545 
1546 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat,IS);
1547 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1548 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat,PetscInt *);
1549 PETSC_EXTERN PetscErrorCode MatSeqBAIJInvertBlockDiagonal(Mat);
1550 
1551 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat,PetscInt,Mat*);
1552 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat,PetscInt,Mat*);
1553 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat,Mat*);
1554 
1555 PETSC_EXTERN PetscErrorCode MatComputeExplicitOperator(Mat,Mat*);
1556 
1557 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat,Vec);
1558 
1559 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
1560 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat,Vec,Vec);
1561 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat,PetscErrorCode(*)(void*,Vec,Vec),void*);
1562 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat,PetscErrorCode (*)(void*,PetscInt,Vec,PetscScalar*));
1563 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat,PetscErrorCode (*)(void*,Vec));
1564 PETSC_EXTERN PetscErrorCode MatMFFDAddNullSpace(Mat,MatNullSpace);
1565 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat,PetscScalar[],PetscInt);
1566 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
1567 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat,PetscReal);
1568 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat,PetscInt);
1569 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat,PetscScalar *);
1570 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat,const char[]);
1571 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void*,Vec,Vec,PetscScalar*);
1572 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat,PetscErrorCode (*)(void*,Vec,Vec,PetscScalar*),void*);
1573 
1574 /*S
1575     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
1576               Jacobian vector products
1577 
1578     Notes: MATMFFD is a specific MatType which uses the MatMFFD data structure
1579 
1580            MatMFFD*() methods actually take the Mat as their first argument. Not a MatMFFD data structure
1581 
1582     Level: developer
1583 
1584 .seealso: MATMFFD, MatCreateMFFD(), MatMFFDSetFuction(), MatMFFDSetType(), MatMFFDRegister()
1585 S*/
1586 typedef struct _p_MatMFFD* MatMFFD;
1587 
1588 /*J
1589     MatMFFDType - algorithm used to compute the h used in computing matrix-vector products via differencing of the function
1590 
1591    Level: beginner
1592 
1593 .seealso: MatMFFDSetType(), MatMFFDRegister()
1594 J*/
1595 typedef const char* MatMFFDType;
1596 #define MATMFFD_DS  "ds"
1597 #define MATMFFD_WP  "wp"
1598 
1599 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat,MatMFFDType);
1600 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[],PetscErrorCode (*)(MatMFFD));
1601 
1602 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat,PetscReal);
1603 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat,PetscBool );
1604 
1605 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
1606 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
1607 
1608 /*
1609    PETSc interface to MUMPS
1610 */
1611 #ifdef PETSC_HAVE_MUMPS
1612 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat,PetscInt,PetscInt);
1613 PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat,PetscInt,PetscInt*);
1614 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat,PetscInt,PetscReal);
1615 PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat,PetscInt,PetscReal*);
1616 
1617 PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat,PetscInt,PetscInt*);
1618 PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat,PetscInt,PetscInt*);
1619 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat,PetscInt,PetscReal*);
1620 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat,PetscInt,PetscReal*);
1621 
1622 PETSC_EXTERN PetscErrorCode MatMumpsSetSchurIndices(Mat,PetscInt,PetscInt[]);
1623 PETSC_EXTERN PetscErrorCode MatMumpsInvertSchurComplement(Mat);
1624 PETSC_EXTERN PetscErrorCode MatMumpsCreateSchurComplement(Mat,Mat*);
1625 PETSC_EXTERN PetscErrorCode MatMumpsGetSchurComplement(Mat,Mat*);
1626 PETSC_EXTERN PetscErrorCode MatMumpsRestoreSchurComplement(Mat,Mat*);
1627 PETSC_EXTERN PetscErrorCode MatMumpsSolveSchurComplement(Mat,Vec,Vec);
1628 PETSC_EXTERN PetscErrorCode MatMumpsSolveSchurComplementTranspose(Mat,Vec,Vec);
1629 #endif
1630 
1631 /*
1632    PETSc interface to Mkl_Pardiso
1633 */
1634 #ifdef PETSC_HAVE_MKL_PARDISO
1635 PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat,PetscInt,PetscInt);
1636 #endif
1637 
1638 /*
1639    PETSc interface to Mkl_CPardiso
1640 */
1641 #ifdef PETSC_HAVE_MKL_CPARDISO
1642 PETSC_EXTERN PetscErrorCode MatMkl_CPardisoSetCntl(Mat,PetscInt,PetscInt);
1643 #endif
1644 
1645 /*
1646    PETSc interface to SUPERLU
1647 */
1648 #ifdef PETSC_HAVE_SUPERLU
1649 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat,PetscReal);
1650 #endif
1651 
1652 #ifdef PETSC_HAVE_CUDA
1653 /*E
1654     MatCUSPARSEStorageFormat - indicates the storage format for CUSPARSE (GPU)
1655     matrices.
1656 
1657     Not Collective
1658 
1659 +   MAT_CUSPARSE_CSR - Compressed Sparse Row
1660 .   MAT_CUSPARSE_ELL - Ellpack (requires CUDA 4.2 or later).
1661 -   MAT_CUSPARSE_HYB - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
1662 
1663     Level: intermediate
1664 
1665    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1666 
1667 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEFormatOperation
1668 E*/
1669 
1670 typedef enum {MAT_CUSPARSE_CSR, MAT_CUSPARSE_ELL, MAT_CUSPARSE_HYB} MatCUSPARSEStorageFormat;
1671 
1672 /* these will be strings associated with enumerated type defined above */
1673 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
1674 
1675 /*E
1676     MatCUSPARSEFormatOperation - indicates the operation of CUSPARSE (GPU)
1677     matrices whose operation should use a particular storage format.
1678 
1679     Not Collective
1680 
1681 +   MAT_CUSPARSE_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1682 .   MAT_CUSPARSE_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1683 .   MAT_CUSPARSE_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1684 -   MAT_CUSPARSE_ALL - sets the storage format for all CUSPARSE (GPU) matrices
1685 
1686     Level: intermediate
1687 
1688 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEStorageFormat
1689 E*/
1690 typedef enum {MAT_CUSPARSE_MULT_DIAG, MAT_CUSPARSE_MULT_OFFDIAG, MAT_CUSPARSE_MULT, MAT_CUSPARSE_ALL} MatCUSPARSEFormatOperation;
1691 
1692 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1693 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1694 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat,MatCUSPARSEFormatOperation,MatCUSPARSEStorageFormat);
1695 #endif
1696 
1697 #if defined(PETSC_HAVE_CUSP)
1698 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1699 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1700 
1701 /*E
1702     MatCUSPStorageFormat - indicates the storage format for CUSP (GPU)
1703     matrices.
1704 
1705     Not Collective
1706 
1707 +   MAT_CUSP_CSR - Compressed Sparse Row
1708 .   MAT_CUSP_DIA - Diagonal
1709 -   MAT_CUSP_ELL - Ellpack
1710 
1711     Level: intermediate
1712 
1713    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1714 
1715 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1716 E*/
1717 typedef enum {MAT_CUSP_CSR, MAT_CUSP_DIA, MAT_CUSP_ELL} MatCUSPStorageFormat;
1718 
1719 /* these will be strings associated with enumerated type defined above */
1720 PETSC_EXTERN const char *const MatCUSPStorageFormats[];
1721 
1722 /*E
1723     MatCUSPFormatOperation - indicates the operation of CUSP (GPU)
1724     matrices whose operation should use a particular storage format.
1725 
1726     Not Collective
1727 
1728 +   MAT_CUSP_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1729 .   MAT_CUSP_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1730 .   MAT_CUSP_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1731 -   MAT_CUSP_ALL - sets the storage format for all CUSP (GPU) matrices
1732 
1733     Level: intermediate
1734 
1735    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1736 
1737 .seealso: MatCUSPSetFormat(), MatCUSPStorageFormat
1738 E*/
1739 typedef enum {MAT_CUSP_MULT_DIAG, MAT_CUSP_MULT_OFFDIAG, MAT_CUSP_MULT, MAT_CUSP_ALL} MatCUSPFormatOperation;
1740 
1741 PETSC_EXTERN PetscErrorCode MatCUSPSetFormat(Mat,MatCUSPFormatOperation,MatCUSPStorageFormat);
1742 #endif
1743 
1744 #if defined(PETSC_HAVE_VIENNACL)
1745 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1746 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1747 #endif
1748 
1749 /*
1750    PETSc interface to FFTW
1751 */
1752 #if defined(PETSC_HAVE_FFTW)
1753 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat,Vec,Vec);
1754 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat,Vec,Vec);
1755 PETSC_EXTERN PetscErrorCode MatCreateVecsFFTW(Mat,Vec*,Vec*,Vec*);
1756 #endif
1757 
1758 /*
1759    PETSc interface to ELEMENTAL
1760 */
1761 #if defined(PETSC_HAVE_ELEMENTAL)
1762 #if defined(PETSC_USE_COMPLEX)
1763 typedef El::Complex<PetscReal> PetscElemScalar;
1764 #else
1765 typedef PetscScalar PetscElemScalar;
1766 #endif
1767 PETSC_EXTERN PetscErrorCode PetscElementalInitializePackage(void);
1768 PETSC_EXTERN PetscErrorCode PetscElementalFinalizePackage(void);
1769 #endif
1770 
1771 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm,PetscInt,const IS[],PetscInt,const IS[],const Mat[],Mat*);
1772 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat,PetscInt*,PetscInt*);
1773 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat,IS[],IS[]);
1774 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat,IS[],IS[]);
1775 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat,PetscInt*,PetscInt*,Mat***);
1776 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat,PetscInt,PetscInt,Mat*);
1777 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat,VecType);
1778 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat,PetscInt,const IS[],PetscInt,const IS[],const Mat[]);
1779 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat,PetscInt,PetscInt,Mat);
1780 
1781 PETSC_EXTERN PetscErrorCode MatChop(Mat,PetscReal);
1782 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat,PetscReal,PetscInt*);
1783 
1784 PETSC_EXTERN PetscErrorCode MatSubdomainsCreateCoalesce(Mat,PetscInt,PetscInt*,IS**);
1785 
1786 #endif
1787