xref: /petsc/include/petscmat.h (revision d21f2a476e879383c6c278d987e40b1dd508a024)
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_SUBSET_OFF_PROC_ENTRIES = 19,
348               MAT_OPTION_MAX = 20} MatOption;
349 
350 PETSC_EXTERN const char *MatOptions[];
351 PETSC_EXTERN PetscErrorCode MatSetOption(Mat,MatOption,PetscBool);
352 PETSC_EXTERN PetscErrorCode MatGetOption(Mat,MatOption,PetscBool*);
353 PETSC_EXTERN PetscErrorCode MatGetType(Mat,MatType*);
354 
355 PETSC_EXTERN PetscErrorCode MatGetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar[]);
356 PETSC_EXTERN PetscErrorCode MatGetRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
357 PETSC_EXTERN PetscErrorCode MatRestoreRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
358 PETSC_EXTERN PetscErrorCode MatGetRowUpperTriangular(Mat);
359 PETSC_EXTERN PetscErrorCode MatRestoreRowUpperTriangular(Mat);
360 PETSC_EXTERN PetscErrorCode MatGetColumn(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
361 PETSC_EXTERN PetscErrorCode MatRestoreColumn(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
362 PETSC_EXTERN PetscErrorCode MatGetColumnVector(Mat,Vec,PetscInt);
363 PETSC_EXTERN PetscErrorCode MatSeqAIJGetArray(Mat,PetscScalar *[]);
364 PETSC_EXTERN PetscErrorCode MatSeqAIJRestoreArray(Mat,PetscScalar *[]);
365 PETSC_EXTERN PetscErrorCode MatSeqAIJGetMaxRowNonzeros(Mat,PetscInt*);
366 PETSC_EXTERN PetscErrorCode MatSeqAIJSetValuesLocalFast(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
367 PETSC_EXTERN PetscErrorCode MatDenseGetArray(Mat,PetscScalar *[]);
368 PETSC_EXTERN PetscErrorCode MatDenseRestoreArray(Mat,PetscScalar *[]);
369 PETSC_EXTERN PetscErrorCode MatGetBlockSize(Mat,PetscInt *);
370 PETSC_EXTERN PetscErrorCode MatSetBlockSize(Mat,PetscInt);
371 PETSC_EXTERN PetscErrorCode MatGetBlockSizes(Mat,PetscInt *,PetscInt *);
372 PETSC_EXTERN PetscErrorCode MatSetBlockSizes(Mat,PetscInt,PetscInt);
373 PETSC_EXTERN PetscErrorCode MatSetBlockSizesFromMats(Mat,Mat,Mat);
374 PETSC_EXTERN PetscErrorCode MatSetNThreads(Mat,PetscInt);
375 PETSC_EXTERN PetscErrorCode MatGetNThreads(Mat,PetscInt*);
376 
377 PETSC_EXTERN PetscErrorCode MatMult(Mat,Vec,Vec);
378 PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat,Vec,Vec);
379 PETSC_EXTERN PetscErrorCode MatMultAdd(Mat,Vec,Vec,Vec);
380 PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat,Vec,Vec);
381 PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat,Vec,Vec);
382 PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat,Mat,PetscReal,PetscBool *);
383 PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat,Mat,PetscReal,PetscBool *);
384 PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat,Vec,Vec,Vec);
385 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat,Vec,Vec,Vec);
386 PETSC_EXTERN PetscErrorCode MatMultConstrained(Mat,Vec,Vec);
387 PETSC_EXTERN PetscErrorCode MatMultTransposeConstrained(Mat,Vec,Vec);
388 PETSC_EXTERN PetscErrorCode MatMatSolve(Mat,Mat,Mat);
389 PETSC_EXTERN PetscErrorCode MatResidual(Mat,Vec,Vec,Vec);
390 
391 /*E
392     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
393   its numerical values copied over or just its nonzero structure.
394 
395     Level: beginner
396 
397    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
398 
399 $   MAT_SHARE_NONZERO_PATTERN - the i and j arrays in the new matrix will be shared with the original matrix
400 $                               this also triggers the MAT_DO_NOT_COPY_VALUES option. This is used when you
401 $                               have several matrices with the same nonzero pattern.
402 
403 .seealso: MatDuplicate()
404 E*/
405 typedef enum {MAT_DO_NOT_COPY_VALUES,MAT_COPY_VALUES,MAT_SHARE_NONZERO_PATTERN} MatDuplicateOption;
406 
407 PETSC_EXTERN PetscErrorCode MatConvert(Mat,MatType,MatReuse,Mat*);
408 PETSC_EXTERN PetscErrorCode MatDuplicate(Mat,MatDuplicateOption,Mat*);
409 
410 
411 PETSC_EXTERN PetscErrorCode MatCopy(Mat,Mat,MatStructure);
412 PETSC_EXTERN PetscErrorCode MatView(Mat,PetscViewer);
413 PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat,PetscReal,PetscBool *);
414 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat,PetscBool *);
415 PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat,PetscReal,PetscBool *);
416 PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat,PetscBool *,PetscBool *);
417 PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat,PetscBool *,PetscBool *);
418 PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat,PetscBool  *,PetscInt *);
419 PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);
420 
421 PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
422 PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
423 PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
424 PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
425 
426 /*S
427      MatInfo - Context of matrix information, used with MatGetInfo()
428 
429    In Fortran this is simply a double precision array of dimension MAT_INFO_SIZE
430 
431    Level: intermediate
432 
433   Concepts: matrix^nonzero information
434 
435 .seealso:  MatGetInfo(), MatInfoType
436 S*/
437 typedef struct {
438   PetscLogDouble block_size;                         /* block size */
439   PetscLogDouble nz_allocated,nz_used,nz_unneeded;   /* number of nonzeros */
440   PetscLogDouble memory;                             /* memory allocated */
441   PetscLogDouble assemblies;                         /* number of matrix assemblies called */
442   PetscLogDouble mallocs;                            /* number of mallocs during MatSetValues() */
443   PetscLogDouble fill_ratio_given,fill_ratio_needed; /* fill ratio for LU/ILU */
444   PetscLogDouble factor_mallocs;                     /* number of mallocs during factorization */
445 } MatInfo;
446 
447 /*E
448     MatInfoType - Indicates if you want information about the local part of the matrix,
449      the entire parallel matrix or the maximum over all the local parts.
450 
451     Level: beginner
452 
453    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
454 
455 .seealso: MatGetInfo(), MatInfo
456 E*/
457 typedef enum {MAT_LOCAL=1,MAT_GLOBAL_MAX=2,MAT_GLOBAL_SUM=3} MatInfoType;
458 PETSC_EXTERN PetscErrorCode MatGetInfo(Mat,MatInfoType,MatInfo*);
459 PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat,Vec);
460 PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat,Vec,PetscInt[]);
461 PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat,Vec,PetscInt[]);
462 PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat,Vec,PetscInt[]);
463 PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat,Vec,PetscInt[]);
464 PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat,Vec);
465 PETSC_EXTERN PetscErrorCode MatTranspose(Mat,MatReuse,Mat*);
466 PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat,MatReuse,Mat*);
467 PETSC_EXTERN PetscErrorCode MatPermute(Mat,IS,IS,Mat *);
468 PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat,Vec,Vec);
469 PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat,Vec,InsertMode);
470 PETSC_EXTERN PetscErrorCode MatEqual(Mat,Mat,PetscBool *);
471 PETSC_EXTERN PetscErrorCode MatMultEqual(Mat,Mat,PetscInt,PetscBool *);
472 PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat,Mat,PetscInt,PetscBool *);
473 PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat,Mat,PetscInt,PetscBool *);
474 PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat,Mat,PetscInt,PetscBool *);
475 
476 PETSC_EXTERN PetscErrorCode MatNorm(Mat,NormType,PetscReal *);
477 PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat,NormType,PetscReal *);
478 PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
479 PETSC_EXTERN PetscErrorCode MatZeroRows(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
480 PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat,IS,PetscScalar,Vec,Vec);
481 PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat,PetscInt,const MatStencil [],PetscScalar,Vec,Vec);
482 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat,PetscInt,const MatStencil[],PetscScalar,Vec,Vec);
483 PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
484 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat,IS,PetscScalar,Vec,Vec);
485 
486 PETSC_EXTERN PetscErrorCode MatGetSize(Mat,PetscInt*,PetscInt*);
487 PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat,PetscInt*,PetscInt*);
488 PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat,PetscInt*,PetscInt*);
489 PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat,const PetscInt**);
490 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat,PetscInt*,PetscInt*);
491 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat,const PetscInt**);
492 PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat,IS*,IS*);
493 
494 PETSC_EXTERN PetscErrorCode MatGetSubMatrices(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
495 PETSC_EXTERN PetscErrorCode MatGetSubMatricesMPI(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
496 PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt,Mat *[]);
497 PETSC_EXTERN PetscErrorCode MatGetSubMatrix(Mat,IS,IS,MatReuse,Mat *);
498 PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat,IS,IS,Mat*);
499 PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat,IS,IS,Mat*);
500 PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat,Mat*);
501 PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat*);
502 
503 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm,Mat,PetscInt,PetscInt,MatReuse,Mat*);
504 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm,Mat,PetscInt,PetscInt,Mat*);
505 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat,Mat);
506 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat,MatReuse,Mat*);
507 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat,MatReuse,IS*,IS*,Mat*);
508 PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat,Mat,MatReuse,IS*,IS*,Mat*);
509 PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *,const PetscInt *[]);
510 
511 PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat,PetscInt,IS[],PetscInt);
512 PETSC_EXTERN PetscErrorCode MatIncreaseOverlapSplit(Mat mat,PetscInt n,IS is[],PetscInt ov);
513 PETSC_EXTERN PetscErrorCode MatMPIAIJSetUseScalableIncreaseOverlap(Mat,PetscBool);
514 
515 PETSC_EXTERN PetscErrorCode MatMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
516 PETSC_EXTERN PetscErrorCode MatMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
517 PETSC_EXTERN PetscErrorCode MatMatMultNumeric(Mat,Mat,Mat);
518 
519 PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
520 PETSC_EXTERN PetscErrorCode MatMatMatMultSymbolic(Mat,Mat,Mat,PetscReal,Mat*);
521 PETSC_EXTERN PetscErrorCode MatMatMatMultNumeric(Mat,Mat,Mat,Mat);
522 
523 PETSC_EXTERN PetscErrorCode MatPtAP(Mat,Mat,MatReuse,PetscReal,Mat*);
524 PETSC_EXTERN PetscErrorCode MatPtAPSymbolic(Mat,Mat,PetscReal,Mat*);
525 PETSC_EXTERN PetscErrorCode MatPtAPNumeric(Mat,Mat,Mat);
526 PETSC_EXTERN PetscErrorCode MatRARt(Mat,Mat,MatReuse,PetscReal,Mat*);
527 PETSC_EXTERN PetscErrorCode MatRARtSymbolic(Mat,Mat,PetscReal,Mat*);
528 PETSC_EXTERN PetscErrorCode MatRARtNumeric(Mat,Mat,Mat);
529 
530 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
531 PETSC_EXTERN PetscErrorCode MatTransposetMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
532 PETSC_EXTERN PetscErrorCode MatTransposetMatMultNumeric(Mat,Mat,Mat);
533 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat,Mat,MatReuse,PetscReal,Mat*);
534 PETSC_EXTERN PetscErrorCode MatMatTransposeMultSymbolic(Mat,Mat,PetscReal,Mat*);
535 PETSC_EXTERN PetscErrorCode MatMatTransposeMultNumeric(Mat,Mat,Mat);
536 
537 PETSC_EXTERN PetscErrorCode MatAXPY(Mat,PetscScalar,Mat,MatStructure);
538 PETSC_EXTERN PetscErrorCode MatAYPX(Mat,PetscScalar,Mat,MatStructure);
539 
540 PETSC_EXTERN PetscErrorCode MatScale(Mat,PetscScalar);
541 PETSC_EXTERN PetscErrorCode MatShift(Mat,PetscScalar);
542 
543 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
544 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
545 PETSC_EXTERN PetscErrorCode MatGetLayouts(Mat,PetscLayout*,PetscLayout*);
546 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
547 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
548 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
549 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
550 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
551 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
552 
553 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat,PetscInt,PetscInt);
554 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat,PetscInt*,PetscInt*,PetscInt*,PetscInt*);
555 
556 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat,Vec,Vec);
557 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat,Vec,Vec,Vec);
558 PETSC_EXTERN PetscErrorCode MatRestrict(Mat,Vec,Vec);
559 PETSC_EXTERN PetscErrorCode MatCreateVecs(Mat,Vec*,Vec*);
560 PETSC_DEPRECATED("Use MatCreateVecs()") PETSC_STATIC_INLINE PetscErrorCode MatGetVecs(Mat mat,Vec *x,Vec *y) {return MatCreateVecs(mat,x,y);}
561 PETSC_EXTERN PetscErrorCode MatCreateRedundantMatrix(Mat,PetscInt,MPI_Comm,MatReuse,Mat*);
562 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat,MPI_Comm,MatReuse,Mat*);
563 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat,IS*);
564 PETSC_EXTERN PetscErrorCode MatFindOffBlockDiagonalEntries(Mat,IS*);
565 PETSC_EXTERN PetscErrorCode MatCreateMPIMatConcatenateSeqMat(MPI_Comm,Mat,PetscInt,MatReuse,Mat*);
566 
567 /*MC
568    MatSetValue - Set a single entry into a matrix.
569 
570    Not collective
571 
572    Synopsis:
573      #include <petscmat.h>
574      PetscErrorCode MatSetValue(Mat m,PetscInt row,PetscInt col,PetscScalar value,InsertMode mode)
575 
576    Input Parameters:
577 +  m - the matrix
578 .  row - the row location of the entry
579 .  col - the column location of the entry
580 .  value - the value to insert
581 -  mode - either INSERT_VALUES or ADD_VALUES
582 
583    Notes:
584    For efficiency one should use MatSetValues() and set several or many
585    values simultaneously if possible.
586 
587    Level: beginner
588 
589 .seealso: MatSetValues(), MatSetValueLocal()
590 M*/
591 PETSC_STATIC_INLINE PetscErrorCode MatSetValue(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValues(v,1,&i,1,&j,&va,mode);}
592 
593 PETSC_STATIC_INLINE PetscErrorCode MatGetValue(Mat v,PetscInt i,PetscInt j,PetscScalar *va) {return MatGetValues(v,1,&i,1,&j,va);}
594 
595 PETSC_STATIC_INLINE PetscErrorCode MatSetValueLocal(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValuesLocal(v,1,&i,1,&j,&va,mode);}
596 
597 /*MC
598    MatPreallocateInitialize - Begins the block of code that will count the number of nonzeros per
599        row in a matrix providing the data that one can use to correctly preallocate the matrix.
600 
601    Synopsis:
602    #include <petscmat.h>
603    PetscErrorCode MatPreallocateInitialize(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
604 
605    Collective on MPI_Comm
606 
607    Input Parameters:
608 +  comm - the communicator that will share the eventually allocated matrix
609 .  nrows - the number of LOCAL rows in the matrix
610 -  ncols - the number of LOCAL columns in the matrix
611 
612    Output Parameters:
613 +  dnz - the array that will be passed to the matrix preallocation routines
614 -  ozn - the other array passed to the matrix preallocation routines
615 
616    Level: intermediate
617 
618    Notes:
619     See Users-Manual: ch_performance for more details.
620 
621    Do not malloc or free dnz and onz, that is handled internally by these routines
622 
623    Use MatPreallocateInitializeSymmetric() for symmetric matrices (MPISBAIJ matrices)
624 
625    This is a MACRO not a function because it has a leading { that is closed by PetscPreallocateFinalize().
626 
627   Concepts: preallocation^Matrix
628 
629 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
630           MatPreallocateInitializeSymmetric(), MatPreallocateSymmetricSetLocalBlock()
631 M*/
632 #define MatPreallocateInitialize(comm,nrows,ncols,dnz,onz) 0; \
633 { \
634   PetscErrorCode _4_ierr; PetscInt __nrows = (nrows),__ctmp = (ncols),__rstart,__start,__end; \
635   _4_ierr = PetscCalloc2(__nrows,&dnz,__nrows,&onz);CHKERRQ(_4_ierr); \
636   __start = 0; __end = __start;                                         \
637   _4_ierr = MPI_Scan(&__ctmp,&__end,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __start = __end - __ctmp;\
638   _4_ierr = MPI_Scan(&__nrows,&__rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __nrows;
639 
640 /*MC
641    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
642        inserted using a local number of the rows and columns
643 
644    Synopsis:
645    #include <petscmat.h>
646    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
647 
648    Not Collective
649 
650    Input Parameters:
651 +  map - the row mapping from local numbering to global numbering
652 .  nrows - the number of rows indicated
653 .  rows - the indices of the rows
654 .  cmap - the column mapping from local to global numbering
655 .  ncols - the number of columns in the matrix
656 .  cols - the columns indicated
657 .  dnz - the array that will be passed to the matrix preallocation routines
658 -  ozn - the other array passed to the matrix preallocation routines
659 
660    Level: intermediate
661 
662    Notes:
663     See Users-Manual: ch_performance for more details.
664 
665    Do not malloc or free dnz and onz, that is handled internally by these routines
666 
667   Concepts: preallocation^Matrix
668 
669 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
670           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock()
671 M*/
672 #define MatPreallocateSetLocal(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
673 {\
674   PetscInt __l;\
675   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
676   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
677   for (__l=0;__l<nrows;__l++) {\
678     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
679   }\
680 }
681 
682 /*MC
683    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
684        inserted using a local number of the rows and columns
685 
686    Synopsis:
687    #include <petscmat.h>
688    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
689 
690    Not Collective
691 
692    Input Parameters:
693 +  map - the row mapping from local numbering to global numbering
694 .  nrows - the number of rows indicated
695 .  rows - the indices of the rows
696 .  cmap - the column mapping from local to global numbering
697 .  ncols - the number of columns in the matrix
698 .  cols - the columns indicated
699 .  dnz - the array that will be passed to the matrix preallocation routines
700 -  ozn - the other array passed to the matrix preallocation routines
701 
702    Level: intermediate
703 
704    Notes:
705     See Users-Manual: ch_performance for more details.
706 
707    Do not malloc or free dnz and onz, that is handled internally by these routines
708 
709   Concepts: preallocation^Matrix
710 
711 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
712           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock()
713 M*/
714 #define MatPreallocateSetLocalBlock(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
715 {\
716   PetscInt __l;\
717   _4_ierr = ISLocalToGlobalMappingApplyBlock(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
718   _4_ierr = ISLocalToGlobalMappingApplyBlock(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
719   for (__l=0;__l<nrows;__l++) {\
720     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
721   }\
722 }
723 
724 /*MC
725    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
726        inserted using a local number of the rows and columns
727 
728    Synopsis:
729    #include <petscmat.h>
730    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
731 
732    Not Collective
733 
734    Input Parameters:
735 +  map - the mapping between local numbering and global numbering
736 .  nrows - the number of rows indicated
737 .  rows - the indices of the rows
738 .  ncols - the number of columns in the matrix
739 .  cols - the columns indicated
740 .  dnz - the array that will be passed to the matrix preallocation routines
741 -  ozn - the other array passed to the matrix preallocation routines
742 
743    Level: intermediate
744 
745    Notes:
746     See Users-Manual: ch_performance for more details.
747 
748    Do not malloc or free dnz and onz that is handled internally by these routines
749 
750   Concepts: preallocation^Matrix
751 
752 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateInitialize(),
753           MatPreallocateInitialize(),  MatPreallocateSetLocal()
754 M*/
755 #define MatPreallocateSymmetricSetLocalBlock(map,nrows,rows,ncols,cols,dnz,onz) 0;\
756 {\
757   PetscInt __l;\
758   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
759   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
760   for (__l=0;__l<nrows;__l++) {\
761     _4_ierr = MatPreallocateSymmetricSetBlock((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
762   }\
763 }
764 /*MC
765    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
766        inserted using a local number of the rows and columns
767 
768    Synopsis:
769    #include <petscmat.h>
770    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
771 
772    Not Collective
773 
774    Input Parameters:
775 +  row - the row
776 .  ncols - the number of columns in the matrix
777 -  cols - the columns indicated
778 
779    Output Parameters:
780 +  dnz - the array that will be passed to the matrix preallocation routines
781 -  ozn - the other array passed to the matrix preallocation routines
782 
783    Level: intermediate
784 
785    Notes:
786     See Users-Manual: ch_performance for more details.
787 
788    Do not malloc or free dnz and onz that is handled internally by these routines
789 
790    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
791 
792   Concepts: preallocation^Matrix
793 
794 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
795           MatPreallocateInitialize(), MatPreallocateSetLocal()
796 M*/
797 #define MatPreallocateSet(row,nc,cols,dnz,onz) 0;\
798 { PetscInt __i; \
799   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);\
800   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);\
801   for (__i=0; __i<nc; __i++) {\
802     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
803     else dnz[row - __rstart]++;\
804   }\
805 }
806 
807 /*MC
808    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
809        inserted using a local number of the rows and columns
810 
811    Synopsis:
812    #include <petscmat.h>
813    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
814 
815    Not Collective
816 
817    Input Parameters:
818 +  nrows - the number of rows indicated
819 .  rows - the indices of the rows
820 .  ncols - the number of columns in the matrix
821 .  cols - the columns indicated
822 .  dnz - the array that will be passed to the matrix preallocation routines
823 -  ozn - the other array passed to the matrix preallocation routines
824 
825    Level: intermediate
826 
827    Notes:
828     See Users-Manual: ch_performance for more details.
829 
830    Do not malloc or free dnz and onz that is handled internally by these routines
831 
832    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
833 
834   Concepts: preallocation^Matrix
835 
836 .seealso: MatPreallocateFinalize(), MatPreallocateSet(),  MatPreallocateInitialize(),
837           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
838 M*/
839 #define MatPreallocateSymmetricSetBlock(row,nc,cols,dnz,onz) 0;\
840 { PetscInt __i; \
841   for (__i=0; __i<nc; __i++) {\
842     if (cols[__i] >= __end) onz[row - __rstart]++; \
843     else if (cols[__i] >= row) dnz[row - __rstart]++;\
844   }\
845 }
846 
847 /*MC
848    MatPreallocateLocation -  An alternative to MatPreallocationSet() that puts the nonzero locations into the matrix if it exists
849 
850    Synopsis:
851    #include <petscmat.h>
852    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
853 
854    Not Collective
855 
856    Input Parameters:
857 .  A - matrix
858 .  row - row where values exist (must be local to this process)
859 .  ncols - number of columns
860 .  cols - columns with nonzeros
861 .  dnz - the array that will be passed to the matrix preallocation routines
862 -  ozn - the other array passed to the matrix preallocation routines
863 
864    Level: intermediate
865 
866    Notes:
867     See Users-Manual: ch_performance for more details.
868 
869    Do not malloc or free dnz and onz that is handled internally by these routines
870 
871    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
872 
873   Concepts: preallocation^Matrix
874 
875 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
876           MatPreallocateSymmetricSetLocalBlock()
877 M*/
878 #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);}
879 
880 
881 /*MC
882    MatPreallocateFinalize - Ends the block of code that will count the number of nonzeros per
883        row in a matrix providing the data that one can use to correctly preallocate the matrix.
884 
885    Synopsis:
886    #include <petscmat.h>
887    PetscErrorCode MatPreallocateFinalize(PetscInt *dnz, PetscInt *onz)
888 
889    Collective on MPI_Comm
890 
891    Input Parameters:
892 +  dnz - the array that was be passed to the matrix preallocation routines
893 -  ozn - the other array passed to the matrix preallocation routines
894 
895    Level: intermediate
896 
897    Notes:
898     See Users-Manual: ch_performance for more details.
899 
900    Do not malloc or free dnz and onz that is handled internally by these routines
901 
902    This is a MACRO not a function because it closes the { started in MatPreallocateInitialize().
903 
904   Concepts: preallocation^Matrix
905 
906 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
907           MatPreallocateSymmetricSetLocalBlock()
908 M*/
909 #define MatPreallocateFinalize(dnz,onz) 0;_4_ierr = PetscFree2(dnz,onz);CHKERRQ(_4_ierr);}
910 
911 /* Routines unique to particular data structures */
912 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat,void *);
913 
914 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat,IS*,IS*);
915 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat,PetscInt *,PetscInt *[],PetscInt *);
916 
917 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat,PetscInt[]);
918 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat,PetscInt[]);
919 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
920 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
921 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
922 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*,PetscInt,PetscBool);
923 
924 #define MAT_SKIP_ALLOCATION -4
925 
926 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
927 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
928 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat,PetscInt,const PetscInt[]);
929 
930 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
931 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
932 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
933 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat,const PetscInt [],const PetscInt [],const PetscScalar []);
934 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
935 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]);
936 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
937 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat,PetscInt[],PetscInt[],PetscInt[]);
938 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
939 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
940 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
941 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
942 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat,Mat*);
943 
944 PETSC_EXTERN PetscErrorCode MatISSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
945 PETSC_EXTERN PetscErrorCode MatSeqDenseSetLDA(Mat,PetscInt);
946 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat,Mat*);
947 
948 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
949 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
950 
951 PETSC_EXTERN PetscErrorCode MatDAADSetCtx(Mat,void*);
952 
953 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat,IS*);
954 /*
955   These routines are not usually accessed directly, rather solving is
956   done through the KSP and PC interfaces.
957 */
958 
959 /*J
960     MatOrderingType - String with the name of a PETSc matrix ordering
961 
962    Level: beginner
963 
964 .seealso: MatGetOrdering()
965 J*/
966 typedef const char* MatOrderingType;
967 #define MATORDERINGNATURAL     "natural"
968 #define MATORDERINGND          "nd"
969 #define MATORDERING1WD         "1wd"
970 #define MATORDERINGRCM         "rcm"
971 #define MATORDERINGQMD         "qmd"
972 #define MATORDERINGROWLENGTH   "rowlength"
973 #define MATORDERINGWBM         "wbm"
974 #define MATORDERINGSPECTRAL    "spectral"
975 #define MATORDERINGAMD         "amd"            /* only works if UMFPACK is installed with PETSc */
976 
977 PETSC_EXTERN PetscErrorCode MatGetOrdering(Mat,MatOrderingType,IS*,IS*);
978 PETSC_EXTERN PetscErrorCode MatGetOrderingList(PetscFunctionList*);
979 PETSC_EXTERN PetscErrorCode MatOrderingRegister(const char[],PetscErrorCode(*)(Mat,MatOrderingType,IS*,IS*));
980 PETSC_EXTERN PetscFunctionList MatOrderingList;
981 
982 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
983 PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat,PetscReal,PetscBool,Mat*);
984 
985 /*S
986     MatFactorShiftType - Numeric Shift.
987 
988    Level: beginner
989 
990 S*/
991 typedef enum {MAT_SHIFT_NONE,MAT_SHIFT_NONZERO,MAT_SHIFT_POSITIVE_DEFINITE,MAT_SHIFT_INBLOCKS} MatFactorShiftType;
992 PETSC_EXTERN const char *const MatFactorShiftTypes[];
993 PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];
994 
995 /*S
996    MatFactorInfo - Data passed into the matrix factorization routines, and information about the resulting factorization
997 
998    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE, that is use
999 $     MatFactorInfo  info(MAT_FACTORINFO_SIZE)
1000 
1001    Notes: These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
1002 
1003       You can use MatFactorInfoInitialize() to set default values.
1004 
1005    Level: developer
1006 
1007 .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor(),
1008           MatFactorInfoInitialize()
1009 
1010 S*/
1011 typedef struct {
1012   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
1013   PetscReal     usedt;
1014   PetscReal     dt;             /* drop tolerance */
1015   PetscReal     dtcol;          /* tolerance for pivoting */
1016   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
1017   PetscReal     fill;           /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1018   PetscReal     levels;         /* ICC/ILU(levels) */
1019   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1020                                    factorization may be faster if do not pivot */
1021   PetscReal     zeropivot;      /* pivot is called zero if less than this */
1022   PetscReal     shifttype;      /* type of shift added to matrix factor to prevent zero pivots */
1023   PetscReal     shiftamount;     /* how large the shift is */
1024 } MatFactorInfo;
1025 
1026 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo*);
1027 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat,IS,const MatFactorInfo*);
1028 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1029 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat,Mat,const MatFactorInfo*);
1030 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat,IS,IS,const MatFactorInfo*);
1031 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat,IS,IS,const MatFactorInfo*);
1032 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1033 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1034 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1035 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat,IS,const MatFactorInfo*);
1036 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat,Mat,const MatFactorInfo*);
1037 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat,PetscInt*,PetscInt*,PetscInt*);
1038 PETSC_EXTERN PetscErrorCode MatSolve(Mat,Vec,Vec);
1039 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat,Vec,Vec);
1040 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat,Vec,Vec);
1041 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat,Vec,Vec,Vec);
1042 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat,Vec,Vec);
1043 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
1044 PETSC_EXTERN PetscErrorCode MatSolves(Mat,Vecs,Vecs);
1045 
1046 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
1047 
1048 /*E
1049     MatSORType - What type of (S)SOR to perform
1050 
1051     Level: beginner
1052 
1053    May be bitwise ORd together
1054 
1055    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1056 
1057    MatSORType may be bitwise ORd together, so do not change the numbers
1058 
1059 .seealso: MatSOR()
1060 E*/
1061 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
1062               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
1063               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
1064               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
1065 PETSC_EXTERN PetscErrorCode MatSOR(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
1066 
1067 /*
1068     These routines are for efficiently computing Jacobians via finite differences.
1069 */
1070 
1071 /*S
1072      MatColoring - Object for managing the coloring of matrices.
1073 
1074    Level: beginner
1075 
1076   Concepts: matrix, coloring
1077 
1078 .seealso:  MatFDColoringCreate() ISColoring MatFDColoring
1079 S*/
1080 typedef struct _p_MatColoring* MatColoring;
1081 /*J
1082     MatColoringType - String with the name of a PETSc matrix coloring
1083 
1084    Level: beginner
1085 
1086 .seealso: MatColoringSetType(), MatColoring
1087 J*/
1088 
1089 typedef const  char*           MatColoringType;
1090 #define MATCOLORINGJP      "jp"
1091 #define MATCOLORINGPOWER   "power"
1092 #define MATCOLORINGNATURAL "natural"
1093 #define MATCOLORINGSL      "sl"
1094 #define MATCOLORINGLF      "lf"
1095 #define MATCOLORINGID      "id"
1096 #define MATCOLORINGGREEDY  "greedy"
1097 
1098 /*E
1099    MatColoringWeightType - Type of weight scheme
1100 
1101     Not Collective
1102 
1103 +   MAT_COLORING_RANDOM  - Random weights
1104 .   MAT_COLORING_LEXICAL - Lexical weighting based upon global numbering.
1105 -   MAT_COLORING_LF      - Last-first weighting.
1106 
1107     Level: intermediate
1108 
1109    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1110 
1111 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1112 E*/
1113 typedef enum {MAT_COLORING_WEIGHT_RANDOM,MAT_COLORING_WEIGHT_LEXICAL,MAT_COLORING_WEIGHT_LF,MAT_COLORING_WEIGHT_SL} MatColoringWeightType;
1114 
1115 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat,MatColoring*);
1116 PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat,PetscInt,PetscInt*);
1117 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring*);
1118 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring,PetscViewer);
1119 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring,MatColoringType);
1120 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1121 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring,PetscInt);
1122 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring,PetscInt*);
1123 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring,PetscInt);
1124 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring,PetscInt*);
1125 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring,ISColoring*);
1126 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[],PetscErrorCode(*)(MatColoring));
1127 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat,PetscInt,PetscInt,ISColoringValue[],ISColoring*);
1128 PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring,MatColoringWeightType);
1129 PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring,PetscReal*,PetscInt*);
1130 PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring,PetscReal **,PetscInt **lperm);
1131 
1132 /*S
1133      MatFDColoring - Object for computing a sparse Jacobian via finite differences
1134         and coloring
1135 
1136    Level: beginner
1137 
1138   Concepts: coloring, sparse Jacobian, finite differences
1139 
1140 .seealso:  MatFDColoringCreate()
1141 S*/
1142 typedef struct _p_MatFDColoring* MatFDColoring;
1143 
1144 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
1145 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring*);
1146 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring,PetscViewer);
1147 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring,PetscErrorCode (*)(void),void*);
1148 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring,PetscErrorCode (**)(void),void**);
1149 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
1150 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1151 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat,MatFDColoring,Vec,void *);
1152 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring,Vec);
1153 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring,PetscInt*,PetscInt*[]);
1154 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat,ISColoring,MatFDColoring);
1155 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring,PetscInt,PetscInt);
1156 
1157 
1158 /*S
1159      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring
1160 
1161    Level: beginner
1162 
1163   Concepts: coloring, sparse matrix product
1164 
1165 .seealso:  MatTransposeColoringCreate()
1166 S*/
1167 typedef struct _p_MatTransposeColoring* MatTransposeColoring;
1168 
1169 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat,ISColoring,MatTransposeColoring *);
1170 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring,Mat,Mat);
1171 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring,Mat,Mat);
1172 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring*);
1173 
1174 /*
1175     These routines are for partitioning matrices: currently used only
1176   for adjacency matrix, MatCreateMPIAdj().
1177 */
1178 
1179 /*S
1180      MatPartitioning - Object for managing the partitioning of a matrix or graph
1181 
1182    Level: beginner
1183 
1184   Concepts: partitioning
1185 
1186 .seealso:  MatPartitioningCreate(), MatPartitioningType
1187 S*/
1188 typedef struct _p_MatPartitioning* MatPartitioning;
1189 
1190 /*J
1191     MatPartitioningType - String with the name of a PETSc matrix partitioning
1192 
1193    Level: beginner
1194 dm
1195 .seealso: MatPartitioningCreate(), MatPartitioning
1196 J*/
1197 typedef const char* MatPartitioningType;
1198 #define MATPARTITIONINGCURRENT  "current"
1199 #define MATPARTITIONINGAVERAGE   "average"
1200 #define MATPARTITIONINGSQUARE   "square"
1201 #define MATPARTITIONINGPARMETIS "parmetis"
1202 #define MATPARTITIONINGCHACO    "chaco"
1203 #define MATPARTITIONINGPARTY    "party"
1204 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1205 #define MATPARTITIONINGHIERARCH  "hierarch"
1206 
1207 
1208 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1209 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning,MatPartitioningType);
1210 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning,PetscInt);
1211 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning,Mat);
1212 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning,const PetscInt[]);
1213 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1214 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning,IS*);
1215 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning*);
1216 
1217 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[],PetscErrorCode (*)(MatPartitioning));
1218 
1219 
1220 
1221 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning,PetscViewer);
1222 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1223 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
1224 
1225 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetRepartition(MatPartitioning part);
1226 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1227 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1228 
1229 typedef enum { MP_CHACO_MULTILEVEL=1,MP_CHACO_SPECTRAL=2,MP_CHACO_LINEAR=4,MP_CHACO_RANDOM=5,MP_CHACO_SCATTERED=6 } MPChacoGlobalType;
1230 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1231 typedef enum { MP_CHACO_KERNIGHAN=1,MP_CHACO_NONE=2 } MPChacoLocalType;
1232 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1233 typedef enum { MP_CHACO_LANCZOS=0,MP_CHACO_RQI=1 } MPChacoEigenType;
1234 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1235 
1236 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning,MPChacoGlobalType);
1237 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning,MPChacoGlobalType*);
1238 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning,MPChacoLocalType);
1239 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning,MPChacoLocalType*);
1240 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning,PetscReal);
1241 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning,MPChacoEigenType);
1242 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning,MPChacoEigenType*);
1243 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning,PetscReal);
1244 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning,PetscReal*);
1245 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning,PetscInt);
1246 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning,PetscInt*);
1247 
1248 #define MP_PARTY_OPT "opt"
1249 #define MP_PARTY_LIN "lin"
1250 #define MP_PARTY_SCA "sca"
1251 #define MP_PARTY_RAN "ran"
1252 #define MP_PARTY_GBF "gbf"
1253 #define MP_PARTY_GCF "gcf"
1254 #define MP_PARTY_BUB "bub"
1255 #define MP_PARTY_DEF "def"
1256 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning,const char*);
1257 #define MP_PARTY_HELPFUL_SETS "hs"
1258 #define MP_PARTY_KERNIGHAN_LIN "kl"
1259 #define MP_PARTY_NONE "no"
1260 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning,const char*);
1261 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning,PetscReal);
1262 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning,PetscBool);
1263 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning,PetscBool);
1264 
1265 typedef enum { MP_PTSCOTCH_QUALITY,MP_PTSCOTCH_SPEED,MP_PTSCOTCH_BALANCE,MP_PTSCOTCH_SAFETY,MP_PTSCOTCH_SCALABILITY } MPPTScotchStrategyType;
1266 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1267 
1268 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning,PetscReal);
1269 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning,PetscReal*);
1270 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning,MPPTScotchStrategyType);
1271 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning,MPPTScotchStrategyType*);
1272 
1273 /*
1274  * hierarchical partitioning
1275  */
1276 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetFineparts(MatPartitioning,IS*);
1277 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetCoarseparts(MatPartitioning,IS*);
1278 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNcoarseparts(MatPartitioning,PetscInt);
1279 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNfineparts(MatPartitioning, PetscInt);
1280 
1281 /*
1282     These routines are for coarsening matrices:
1283 */
1284 
1285 /*S
1286      MatCoarsen - Object for managing the coarsening of a graph (symmetric matrix)
1287 
1288    Level: beginner
1289 
1290   Concepts: coarsen
1291 
1292 .seealso:  MatCoarsenCreate), MatCoarsenType
1293 S*/
1294 typedef struct _p_MatCoarsen* MatCoarsen;
1295 
1296 /*J
1297     MatCoarsenType - String with the name of a PETSc matrix coarsen
1298 
1299    Level: beginner
1300 
1301 .seealso: MatCoarsenCreate(), MatCoarsen
1302 J*/
1303 typedef const char* MatCoarsenType;
1304 #define MATCOARSENMIS  "mis"
1305 #define MATCOARSENHEM  "hem"
1306 
1307 /* linked list for aggregates */
1308 typedef struct _PetscCDIntNd{
1309   struct _PetscCDIntNd *next;
1310   PetscInt             gid;
1311 }PetscCDIntNd;
1312 
1313 /* only used by node pool */
1314 typedef struct _PetscCDArrNd{
1315   struct _PetscCDArrNd *next;
1316   struct _PetscCDIntNd *array;
1317 }PetscCDArrNd;
1318 
1319 typedef struct _PetscCoarsenData{
1320   PetscCDArrNd pool_list;  /* node pool */
1321   PetscCDIntNd *new_node;
1322   PetscInt     new_left;
1323   PetscInt     chk_sz;
1324   PetscCDIntNd *extra_nodes;
1325   PetscCDIntNd **array;  /* Array of lists */
1326   PetscInt     size;
1327   Mat          mat;  /* cache a Mat for communication data */
1328 }PetscCoarsenData;
1329 
1330 PETSC_EXTERN PetscErrorCode MatCoarsenCreate(MPI_Comm,MatCoarsen*);
1331 PETSC_EXTERN PetscErrorCode MatCoarsenSetType(MatCoarsen,MatCoarsenType);
1332 PETSC_EXTERN PetscErrorCode MatCoarsenSetAdjacency(MatCoarsen,Mat);
1333 PETSC_EXTERN PetscErrorCode MatCoarsenSetGreedyOrdering(MatCoarsen,const IS);
1334 PETSC_EXTERN PetscErrorCode MatCoarsenSetStrictAggs(MatCoarsen,PetscBool);
1335 PETSC_EXTERN PetscErrorCode MatCoarsenGetData( MatCoarsen, PetscCoarsenData ** );
1336 PETSC_EXTERN PetscErrorCode MatCoarsenApply(MatCoarsen);
1337 PETSC_EXTERN PetscErrorCode MatCoarsenDestroy(MatCoarsen*);
1338 
1339 PETSC_EXTERN PetscErrorCode MatCoarsenRegister(const char[],PetscErrorCode (*)(MatCoarsen));
1340 
1341 
1342 
1343 PETSC_EXTERN PetscErrorCode MatCoarsenView(MatCoarsen,PetscViewer);
1344 PETSC_EXTERN PetscErrorCode MatCoarsenSetFromOptions(MatCoarsen);
1345 PETSC_EXTERN PetscErrorCode MatCoarsenGetType(MatCoarsen,MatCoarsenType*);
1346 PETSC_STATIC_INLINE PetscErrorCode MatCoarsenViewFromOptions(MatCoarsen A,PetscObject obj,const char name[]) {return PetscObjectViewFromOptions((PetscObject)A,obj,name);}
1347 
1348 PETSC_EXTERN PetscErrorCode MatMeshToVertexGraph(Mat,PetscInt,Mat*);
1349 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat,PetscInt,Mat*);
1350 
1351 /*
1352     If you add entries here you must also add them to petsc/finclude/petscmat.h
1353 */
1354 typedef enum { MATOP_SET_VALUES=0,
1355                MATOP_GET_ROW=1,
1356                MATOP_RESTORE_ROW=2,
1357                MATOP_MULT=3,
1358                MATOP_MULT_ADD=4,
1359                MATOP_MULT_TRANSPOSE=5,
1360                MATOP_MULT_TRANSPOSE_ADD=6,
1361                MATOP_SOLVE=7,
1362                MATOP_SOLVE_ADD=8,
1363                MATOP_SOLVE_TRANSPOSE=9,
1364                MATOP_SOLVE_TRANSPOSE_ADD=10,
1365                MATOP_LUFACTOR=11,
1366                MATOP_CHOLESKYFACTOR=12,
1367                MATOP_SOR=13,
1368                MATOP_TRANSPOSE=14,
1369                MATOP_GETINFO=15,
1370                MATOP_EQUAL=16,
1371                MATOP_GET_DIAGONAL=17,
1372                MATOP_DIAGONAL_SCALE=18,
1373                MATOP_NORM=19,
1374                MATOP_ASSEMBLY_BEGIN=20,
1375                MATOP_ASSEMBLY_END=21,
1376                MATOP_SET_OPTION=22,
1377                MATOP_ZERO_ENTRIES=23,
1378                MATOP_ZERO_ROWS=24,
1379                MATOP_LUFACTOR_SYMBOLIC=25,
1380                MATOP_LUFACTOR_NUMERIC=26,
1381                MATOP_CHOLESKY_FACTOR_SYMBOLIC=27,
1382                MATOP_CHOLESKY_FACTOR_NUMERIC=28,
1383                MATOP_SETUP_PREALLOCATION=29,
1384                MATOP_ILUFACTOR_SYMBOLIC=30,
1385                MATOP_ICCFACTOR_SYMBOLIC=31,
1386                /* MATOP_PLACEHOLDER_32=32, */
1387                /* MATOP_PLACEHOLDER_33=33, */
1388                MATOP_DUPLICATE=34,
1389                MATOP_FORWARD_SOLVE=35,
1390                MATOP_BACKWARD_SOLVE=36,
1391                MATOP_ILUFACTOR=37,
1392                MATOP_ICCFACTOR=38,
1393                MATOP_AXPY=39,
1394                MATOP_GET_SUBMATRICES=40,
1395                MATOP_INCREASE_OVERLAP=41,
1396                MATOP_GET_VALUES=42,
1397                MATOP_COPY=43,
1398                MATOP_GET_ROW_MAX=44,
1399                MATOP_SCALE=45,
1400                MATOP_SHIFT=46,
1401                MATOP_DIAGONAL_SET=47,
1402                MATOP_ZERO_ROWS_COLUMNS=48,
1403                MATOP_SET_RANDOM=49,
1404                MATOP_GET_ROW_IJ=50,
1405                MATOP_RESTORE_ROW_IJ=51,
1406                MATOP_GET_COLUMN_IJ=52,
1407                MATOP_RESTORE_COLUMN_IJ=53,
1408                MATOP_FDCOLORING_CREATE=54,
1409                MATOP_COLORING_PATCH=55,
1410                MATOP_SET_UNFACTORED=56,
1411                MATOP_PERMUTE=57,
1412                MATOP_SET_VALUES_BLOCKED=58,
1413                MATOP_GET_SUBMATRIX=59,
1414                MATOP_DESTROY=60,
1415                MATOP_VIEW=61,
1416                MATOP_CONVERT_FROM=62,
1417                MATOP_MATMAT_MULT=63,
1418                MATOP_MATMAT_MULT_SYMBOLIC=64,
1419                MATOP_MATMAT_MULT_NUMERIC=65,
1420                MATOP_SET_LOCAL_TO_GLOBAL_MAP=66,
1421                MATOP_SET_VALUES_LOCAL=67,
1422                MATOP_ZERO_ROWS_LOCAL=68,
1423                MATOP_GET_ROW_MAX_ABS=69,
1424                MATOP_GET_ROW_MIN_ABS=70,
1425                MATOP_CONVERT=71,
1426                MATOP_SET_COLORING=72,
1427                /* MATOP_PLACEHOLDER_73=73, */
1428                MATOP_SET_VALUES_ADIFOR=74,
1429                MATOP_FD_COLORING_APPLY=75,
1430                MATOP_SET_FROM_OPTIONS=76,
1431                MATOP_MULT_CONSTRAINED=77,
1432                MATOP_MULT_TRANSPOSE_CONSTRAIN=78,
1433                MATOP_FIND_ZERO_DIAGONALS=79,
1434                MATOP_MULT_MULTIPLE=80,
1435                MATOP_SOLVE_MULTIPLE=81,
1436                MATOP_GET_INERTIA=82,
1437                MATOP_LOAD=83,
1438                MATOP_IS_SYMMETRIC=84,
1439                MATOP_IS_HERMITIAN=85,
1440                MATOP_IS_STRUCTURALLY_SYMMETRIC=86,
1441                MATOP_SET_VALUES_BLOCKEDLOCAL=87,
1442                MATOP_GET_VECS=88,
1443                MATOP_MAT_MULT=89,
1444                MATOP_MAT_MULT_SYMBOLIC=90,
1445                MATOP_MAT_MULT_NUMERIC=91,
1446                MATOP_PTAP=92,
1447                MATOP_PTAP_SYMBOLIC=93,
1448                MATOP_PTAP_NUMERIC=94,
1449                MATOP_MAT_TRANSPOSE_MULT=95,
1450                MATOP_MAT_TRANSPOSE_MULT_SYMBO=96,
1451                MATOP_MAT_TRANSPOSE_MULT_NUMER=97,
1452                /* MATOP_PLACEHOLDER_98=98, */
1453                /* MATOP_PLACEHOLDER_99=99, */
1454                /* MATOP_PLACEHOLDER_100=100, */
1455                /* MATOP_PLACEHOLDER_101=101, */
1456                MATOP_CONJUGATE=102,
1457                /* MATOP_PLACEHOLDER_103=103, */
1458                MATOP_SET_VALUES_ROW=104,
1459                MATOP_REAL_PART=105,
1460                MATOP_IMAGINARY_PART=106,
1461                MATOP_GET_ROW_UPPER_TRIANGULAR=107,
1462                MATOP_RESTORE_ROW_UPPER_TRIANG=108,
1463                MATOP_MAT_SOLVE=109,
1464                MATOP_GET_REDUNDANT_MATRIX=110,
1465                MATOP_GET_ROW_MIN=111,
1466                MATOP_GET_COLUMN_VECTOR=112,
1467                MATOP_MISSING_DIAGONAL=113,
1468                MATOP_GET_SEQ_NONZERO_STRUCTUR=114,
1469                MATOP_CREATE=115,
1470                MATOP_GET_GHOSTS=116,
1471                MATOP_GET_LOCAL_SUB_MATRIX=117,
1472                MATOP_RESTORE_LOCALSUB_MATRIX=118,
1473                MATOP_MULT_DIAGONAL_BLOCK=119,
1474                MATOP_HERMITIAN_TRANSPOSE=120,
1475                MATOP_MULT_HERMITIAN_TRANSPOSE=121,
1476                MATOP_MULT_HERMITIAN_TRANS_ADD=122,
1477                MATOP_GET_MULTI_PROC_BLOCK=123,
1478                MATOP_FIND_NONZERO_ROWS=124,
1479                MATOP_GET_COLUMN_NORMS=125,
1480                MATOP_INVERT_BLOCK_DIAGONAL=126,
1481                /* MATOP_PLACEHOLDER_127=127, */
1482                MATOP_GET_SUB_MATRICES_PARALLE=128,
1483                MATOP_SET_VALUES_BATCH=129,
1484                MATOP_TRANSPOSE_MAT_MULT=130,
1485                MATOP_TRANSPOSE_MAT_MULT_SYMBO=131,
1486                MATOP_TRANSPOSE_MAT_MULT_NUMER=132,
1487                MATOP_TRANSPOSE_COLORING_CREAT=133,
1488                MATOP_TRANS_COLORING_APPLY_SPT=134,
1489                MATOP_TRANS_COLORING_APPLY_DEN=135,
1490                MATOP_RART=136,
1491                MATOP_RART_SYMBOLIC=137,
1492                MATOP_RART_NUMERIC=138,
1493                MATOP_SET_BLOCK_SIZES=139,
1494                MATOP_AYPX=140,
1495                MATOP_RESIDUAL=141,
1496                MATOP_FDCOLORING_SETUP=142,
1497                MATOP_MPICONCATENATESEQ=144
1498              } MatOperation;
1499 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat,MatOperation,PetscBool *);
1500 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat,MatOperation,void(*)(void));
1501 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat,MatOperation,void(**)(void));
1502 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat,void*);
1503 
1504 /*
1505    Codes for matrices stored on disk. By default they are
1506    stored in a universal format. By changing the format with
1507    PetscViewerSetFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
1508    be stored in a way natural for the matrix, for example dense matrices
1509    would be stored as dense. Matrices stored this way may only be
1510    read into matrices of the same type.
1511 */
1512 #define MATRIX_BINARY_FORMAT_DENSE -1
1513 
1514 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1515 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat,Mat*);
1516 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat,Mat);
1517 PETSC_EXTERN PetscErrorCode MatISGetMPIXAIJ(Mat,MatReuse,Mat*);
1518 
1519 /*S
1520      MatNullSpace - Object that removes a null space from a vector, i.e.
1521          orthogonalizes the vector to a subsapce
1522 
1523    Level: advanced
1524 
1525   Concepts: matrix; linear operator, null space
1526 
1527   Users manual sections:
1528 .   sec_singular
1529 
1530 .seealso:  MatNullSpaceCreate()
1531 S*/
1532 typedef struct _p_MatNullSpace* MatNullSpace;
1533 
1534 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm,PetscBool ,PetscInt,const Vec[],MatNullSpace*);
1535 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace,PetscErrorCode (*)(MatNullSpace,Vec,void*),void*);
1536 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace*);
1537 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace,Vec);
1538 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
1539 PETSC_EXTERN PetscErrorCode MatGetTransposeNullSpace(Mat, MatNullSpace *);
1540 PETSC_EXTERN PetscErrorCode MatSetTransposeNullSpace(Mat,MatNullSpace);
1541 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat,MatNullSpace);
1542 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat,MatNullSpace);
1543 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat,MatNullSpace*);
1544 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace,Mat,PetscBool  *);
1545 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace,PetscViewer);
1546 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace,PetscBool*,PetscInt*,const Vec**);
1547 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec,MatNullSpace*);
1548 
1549 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat,IS);
1550 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1551 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat,PetscInt *);
1552 PETSC_EXTERN PetscErrorCode MatSeqBAIJInvertBlockDiagonal(Mat);
1553 
1554 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat,PetscInt,Mat*);
1555 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat,PetscInt,Mat*);
1556 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat,Mat*);
1557 
1558 PETSC_EXTERN PetscErrorCode MatComputeExplicitOperator(Mat,Mat*);
1559 
1560 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat,Vec);
1561 
1562 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
1563 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat,Vec,Vec);
1564 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat,PetscErrorCode(*)(void*,Vec,Vec),void*);
1565 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat,PetscErrorCode (*)(void*,PetscInt,Vec,PetscScalar*));
1566 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat,PetscErrorCode (*)(void*,Vec));
1567 PETSC_EXTERN PetscErrorCode MatMFFDAddNullSpace(Mat,MatNullSpace);
1568 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat,PetscScalar[],PetscInt);
1569 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
1570 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat,PetscReal);
1571 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat,PetscInt);
1572 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat,PetscScalar *);
1573 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat,const char[]);
1574 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void*,Vec,Vec,PetscScalar*);
1575 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat,PetscErrorCode (*)(void*,Vec,Vec,PetscScalar*),void*);
1576 
1577 /*S
1578     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
1579               Jacobian vector products
1580 
1581     Notes: MATMFFD is a specific MatType which uses the MatMFFD data structure
1582 
1583            MatMFFD*() methods actually take the Mat as their first argument. Not a MatMFFD data structure
1584 
1585     Level: developer
1586 
1587 .seealso: MATMFFD, MatCreateMFFD(), MatMFFDSetFuction(), MatMFFDSetType(), MatMFFDRegister()
1588 S*/
1589 typedef struct _p_MatMFFD* MatMFFD;
1590 
1591 /*J
1592     MatMFFDType - algorithm used to compute the h used in computing matrix-vector products via differencing of the function
1593 
1594    Level: beginner
1595 
1596 .seealso: MatMFFDSetType(), MatMFFDRegister()
1597 J*/
1598 typedef const char* MatMFFDType;
1599 #define MATMFFD_DS  "ds"
1600 #define MATMFFD_WP  "wp"
1601 
1602 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat,MatMFFDType);
1603 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[],PetscErrorCode (*)(MatMFFD));
1604 
1605 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat,PetscReal);
1606 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat,PetscBool );
1607 
1608 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
1609 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
1610 
1611 /*
1612    PETSc interface to MUMPS
1613 */
1614 #ifdef PETSC_HAVE_MUMPS
1615 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat,PetscInt,PetscInt);
1616 PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat,PetscInt,PetscInt*);
1617 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat,PetscInt,PetscReal);
1618 PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat,PetscInt,PetscReal*);
1619 
1620 PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat,PetscInt,PetscInt*);
1621 PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat,PetscInt,PetscInt*);
1622 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat,PetscInt,PetscReal*);
1623 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat,PetscInt,PetscReal*);
1624 
1625 PETSC_EXTERN PetscErrorCode MatMumpsSetSchurIndices(Mat,PetscInt,PetscInt[]);
1626 PETSC_EXTERN PetscErrorCode MatMumpsInvertSchurComplement(Mat);
1627 PETSC_EXTERN PetscErrorCode MatMumpsCreateSchurComplement(Mat,Mat*);
1628 PETSC_EXTERN PetscErrorCode MatMumpsGetSchurComplement(Mat,Mat*);
1629 PETSC_EXTERN PetscErrorCode MatMumpsRestoreSchurComplement(Mat,Mat*);
1630 PETSC_EXTERN PetscErrorCode MatMumpsSolveSchurComplement(Mat,Vec,Vec);
1631 PETSC_EXTERN PetscErrorCode MatMumpsSolveSchurComplementTranspose(Mat,Vec,Vec);
1632 #endif
1633 
1634 /*
1635    PETSc interface to Mkl_Pardiso
1636 */
1637 #ifdef PETSC_HAVE_MKL_PARDISO
1638 PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat,PetscInt,PetscInt);
1639 #endif
1640 
1641 /*
1642    PETSc interface to Mkl_CPardiso
1643 */
1644 #ifdef PETSC_HAVE_MKL_CPARDISO
1645 PETSC_EXTERN PetscErrorCode MatMkl_CPardisoSetCntl(Mat,PetscInt,PetscInt);
1646 #endif
1647 
1648 /*
1649    PETSc interface to SUPERLU
1650 */
1651 #ifdef PETSC_HAVE_SUPERLU
1652 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat,PetscReal);
1653 #endif
1654 
1655 #ifdef PETSC_HAVE_CUDA
1656 /*E
1657     MatCUSPARSEStorageFormat - indicates the storage format for CUSPARSE (GPU)
1658     matrices.
1659 
1660     Not Collective
1661 
1662 +   MAT_CUSPARSE_CSR - Compressed Sparse Row
1663 .   MAT_CUSPARSE_ELL - Ellpack (requires CUDA 4.2 or later).
1664 -   MAT_CUSPARSE_HYB - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
1665 
1666     Level: intermediate
1667 
1668    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1669 
1670 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEFormatOperation
1671 E*/
1672 
1673 typedef enum {MAT_CUSPARSE_CSR, MAT_CUSPARSE_ELL, MAT_CUSPARSE_HYB} MatCUSPARSEStorageFormat;
1674 
1675 /* these will be strings associated with enumerated type defined above */
1676 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
1677 
1678 /*E
1679     MatCUSPARSEFormatOperation - indicates the operation of CUSPARSE (GPU)
1680     matrices whose operation should use a particular storage format.
1681 
1682     Not Collective
1683 
1684 +   MAT_CUSPARSE_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1685 .   MAT_CUSPARSE_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1686 .   MAT_CUSPARSE_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1687 -   MAT_CUSPARSE_ALL - sets the storage format for all CUSPARSE (GPU) matrices
1688 
1689     Level: intermediate
1690 
1691 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEStorageFormat
1692 E*/
1693 typedef enum {MAT_CUSPARSE_MULT_DIAG, MAT_CUSPARSE_MULT_OFFDIAG, MAT_CUSPARSE_MULT, MAT_CUSPARSE_ALL} MatCUSPARSEFormatOperation;
1694 
1695 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1696 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1697 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat,MatCUSPARSEFormatOperation,MatCUSPARSEStorageFormat);
1698 #endif
1699 
1700 #if defined(PETSC_HAVE_CUSP)
1701 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1702 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1703 
1704 /*E
1705     MatCUSPStorageFormat - indicates the storage format for CUSP (GPU)
1706     matrices.
1707 
1708     Not Collective
1709 
1710 +   MAT_CUSP_CSR - Compressed Sparse Row
1711 .   MAT_CUSP_DIA - Diagonal
1712 -   MAT_CUSP_ELL - Ellpack
1713 
1714     Level: intermediate
1715 
1716    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1717 
1718 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1719 E*/
1720 typedef enum {MAT_CUSP_CSR, MAT_CUSP_DIA, MAT_CUSP_ELL} MatCUSPStorageFormat;
1721 
1722 /* these will be strings associated with enumerated type defined above */
1723 PETSC_EXTERN const char *const MatCUSPStorageFormats[];
1724 
1725 /*E
1726     MatCUSPFormatOperation - indicates the operation of CUSP (GPU)
1727     matrices whose operation should use a particular storage format.
1728 
1729     Not Collective
1730 
1731 +   MAT_CUSP_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1732 .   MAT_CUSP_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1733 .   MAT_CUSP_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1734 -   MAT_CUSP_ALL - sets the storage format for all CUSP (GPU) matrices
1735 
1736     Level: intermediate
1737 
1738    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1739 
1740 .seealso: MatCUSPSetFormat(), MatCUSPStorageFormat
1741 E*/
1742 typedef enum {MAT_CUSP_MULT_DIAG, MAT_CUSP_MULT_OFFDIAG, MAT_CUSP_MULT, MAT_CUSP_ALL} MatCUSPFormatOperation;
1743 
1744 PETSC_EXTERN PetscErrorCode MatCUSPSetFormat(Mat,MatCUSPFormatOperation,MatCUSPStorageFormat);
1745 #endif
1746 
1747 #if defined(PETSC_HAVE_VIENNACL)
1748 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1749 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1750 #endif
1751 
1752 /*
1753    PETSc interface to FFTW
1754 */
1755 #if defined(PETSC_HAVE_FFTW)
1756 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat,Vec,Vec);
1757 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat,Vec,Vec);
1758 PETSC_EXTERN PetscErrorCode MatCreateVecsFFTW(Mat,Vec*,Vec*,Vec*);
1759 #endif
1760 
1761 /*
1762    PETSc interface to ELEMENTAL
1763 */
1764 #if defined(PETSC_HAVE_ELEMENTAL)
1765 #if defined(PETSC_USE_COMPLEX)
1766 typedef El::Complex<PetscReal> PetscElemScalar;
1767 #else
1768 typedef PetscScalar PetscElemScalar;
1769 #endif
1770 PETSC_EXTERN PetscErrorCode PetscElementalInitializePackage(void);
1771 PETSC_EXTERN PetscErrorCode PetscElementalFinalizePackage(void);
1772 #endif
1773 
1774 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm,PetscInt,const IS[],PetscInt,const IS[],const Mat[],Mat*);
1775 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat,PetscInt*,PetscInt*);
1776 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat,IS[],IS[]);
1777 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat,IS[],IS[]);
1778 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat,PetscInt*,PetscInt*,Mat***);
1779 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat,PetscInt,PetscInt,Mat*);
1780 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat,VecType);
1781 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat,PetscInt,const IS[],PetscInt,const IS[],const Mat[]);
1782 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat,PetscInt,PetscInt,Mat);
1783 
1784 PETSC_EXTERN PetscErrorCode MatChop(Mat,PetscReal);
1785 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat,PetscReal,PetscInt*);
1786 
1787 PETSC_EXTERN PetscErrorCode MatSubdomainsCreateCoalesce(Mat,PetscInt,PetscInt*,IS**);
1788 
1789 #endif
1790