xref: /petsc/include/petscmat.h (revision b59f628eff0cd0541d0457de20841eec6c6bc428)
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" indicates either
94        SuperLU or SuperLU_Dist etc.
95 
96 
97    Level: beginner
98 
99 .seealso: MatGetFactor(), Mat, MatSetType(), MatType
100 J*/
101 #define MatSolverPackage char*
102 #define MATSOLVERSUPERLU      "superlu"
103 #define MATSOLVERSUPERLU_DIST "superlu_dist"
104 #define MATSOLVERUMFPACK      "umfpack"
105 #define MATSOLVERCHOLMOD      "cholmod"
106 #define MATSOLVERESSL         "essl"
107 #define MATSOLVERLUSOL        "lusol"
108 #define MATSOLVERMUMPS        "mumps"
109 #define MATSOLVERMKL_PARDISO  "mkl_pardiso"
110 #define MATSOLVERPASTIX       "pastix"
111 #define MATSOLVERMATLAB       "matlab"
112 #define MATSOLVERPETSC        "petsc"
113 #define MATSOLVERBAS          "bas"
114 #define MATSOLVERCUSPARSE     "cusparse"
115 #define MATSOLVERBSTRM        "bstrm"
116 #define MATSOLVERSBSTRM       "sbstrm"
117 #define MATSOLVERELEMENTAL    "elemental"
118 #define MATSOLVERCLIQUE       "clique"
119 #define MATSOLVERKLU          "klu"
120 
121 /*E
122     MatFactorType - indicates what type of factorization is requested
123 
124     Level: beginner
125 
126    Any additions/changes here MUST also be made in include/finclude/petscmat.h
127 
128 .seealso: MatSolverPackage, MatGetFactor()
129 E*/
130 typedef enum {MAT_FACTOR_NONE, MAT_FACTOR_LU, MAT_FACTOR_CHOLESKY, MAT_FACTOR_ILU, MAT_FACTOR_ICC,MAT_FACTOR_ILUDT} MatFactorType;
131 PETSC_EXTERN const char *const MatFactorTypes[];
132 
133 PETSC_EXTERN PetscErrorCode MatGetFactor(Mat,const MatSolverPackage,MatFactorType,Mat*);
134 PETSC_EXTERN PetscErrorCode MatGetFactorAvailable(Mat,const MatSolverPackage,MatFactorType,PetscBool *);
135 PETSC_EXTERN PetscErrorCode MatFactorGetSolverPackage(Mat,const MatSolverPackage*);
136 PETSC_EXTERN PetscErrorCode MatGetFactorType(Mat,MatFactorType*);
137 
138 /* Logging support */
139 #define    MAT_FILE_CLASSID 1211216    /* used to indicate matrices in binary files */
140 PETSC_EXTERN PetscClassId MAT_CLASSID;
141 PETSC_EXTERN PetscClassId MAT_COLORING_CLASSID;
142 PETSC_EXTERN PetscClassId MAT_FDCOLORING_CLASSID;
143 PETSC_EXTERN PetscClassId MAT_TRANSPOSECOLORING_CLASSID;
144 PETSC_EXTERN PetscClassId MAT_PARTITIONING_CLASSID;
145 PETSC_EXTERN PetscClassId MAT_COARSEN_CLASSID;
146 PETSC_EXTERN PetscClassId MAT_NULLSPACE_CLASSID;
147 PETSC_EXTERN PetscClassId MATMFFD_CLASSID;
148 
149 /*E
150     MatReuse - Indicates if matrices obtained from a previous call to MatGetSubMatrices()
151      or MatGetSubMatrix() are to be reused to store the new matrix values. For MatConvert() is used to indicate
152      that the input matrix is to be replaced with the converted matrix.
153 
154     Level: beginner
155 
156    Any additions/changes here MUST also be made in include/finclude/petscmat.h
157 
158 .seealso: MatGetSubMatrices(), MatGetSubMatrix(), MatDestroyMatrices(), MatConvert()
159 E*/
160 typedef enum {MAT_INITIAL_MATRIX,MAT_REUSE_MATRIX,MAT_IGNORE_MATRIX} MatReuse;
161 
162 /*E
163     MatGetSubMatrixOption - Indicates if matrices obtained from a call to MatGetSubMatrices()
164      include the matrix values. Currently it is only used by MatGetSeqNonzerostructure().
165 
166     Level: beginner
167 
168 .seealso: MatGetSeqNonzerostructure()
169 E*/
170 typedef enum {MAT_DO_NOT_GET_VALUES,MAT_GET_VALUES} MatGetSubMatrixOption;
171 
172 PETSC_EXTERN PetscErrorCode MatInitializePackage(void);
173 
174 PETSC_EXTERN PetscErrorCode MatCreate(MPI_Comm,Mat*);
175 PETSC_EXTERN PetscErrorCode MatSetSizes(Mat,PetscInt,PetscInt,PetscInt,PetscInt);
176 PETSC_EXTERN PetscErrorCode MatSetType(Mat,MatType);
177 PETSC_EXTERN PetscErrorCode MatSetFromOptions(Mat);
178 PETSC_STATIC_INLINE PetscErrorCode MatViewFromOptions(Mat A,const char prefix[],const char name[]) {return PetscObjectViewFromOptions((PetscObject)A,prefix,name);}
179 PETSC_EXTERN PetscErrorCode MatRegisterAll(void);
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 
186 PETSC_EXTERN PetscBool         MatRegisterAllCalled;
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/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 MatCreateSubMatrix(Mat,IS,IS,Mat*);
250 PETSC_EXTERN PetscErrorCode MatSubMatrixUpdate(Mat,Mat,IS,IS);
251 PETSC_EXTERN PetscErrorCode MatCreateLocalRef(Mat,IS,IS,Mat*);
252 
253 PETSC_EXTERN PetscErrorCode MatPythonSetType(Mat,const char[]);
254 
255 PETSC_EXTERN PetscErrorCode MatSetUp(Mat);
256 PETSC_EXTERN PetscErrorCode MatDestroy(Mat*);
257 PETSC_EXTERN PetscErrorCode MatGetNonzeroState(Mat,PetscObjectState*);
258 
259 PETSC_EXTERN PetscErrorCode MatConjugate(Mat);
260 PETSC_EXTERN PetscErrorCode MatRealPart(Mat);
261 PETSC_EXTERN PetscErrorCode MatImaginaryPart(Mat);
262 PETSC_EXTERN PetscErrorCode MatGetDiagonalBlock(Mat,Mat*);
263 PETSC_EXTERN PetscErrorCode MatGetTrace(Mat,PetscScalar*);
264 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonal(Mat,const PetscScalar **);
265 
266 /* ------------------------------------------------------------*/
267 PETSC_EXTERN PetscErrorCode MatSetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
268 PETSC_EXTERN PetscErrorCode MatSetValuesBlocked(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
269 PETSC_EXTERN PetscErrorCode MatSetValuesRow(Mat,PetscInt,const PetscScalar[]);
270 PETSC_EXTERN PetscErrorCode MatSetValuesRowLocal(Mat,PetscInt,const PetscScalar[]);
271 PETSC_EXTERN PetscErrorCode MatSetValuesBatch(Mat,PetscInt,PetscInt,PetscInt[],const PetscScalar[]);
272 PETSC_EXTERN PetscErrorCode MatSetRandom(Mat,PetscRandom);
273 
274 /*S
275      MatStencil - Data structure (C struct) for storing information about a single row or
276         column of a matrix as indexed on an associated grid.
277 
278    Fortran usage is different, see MatSetValuesStencil() for details.
279 
280    Level: beginner
281 
282   Concepts: matrix; linear operator
283 
284 .seealso:  MatSetValuesStencil(), MatSetStencil(), MatSetValuesBlockedStencil()
285 S*/
286 typedef struct {
287   PetscInt k,j,i,c;
288 } MatStencil;
289 
290 PETSC_EXTERN PetscErrorCode MatSetValuesStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
291 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
292 PETSC_EXTERN PetscErrorCode MatSetStencil(Mat,PetscInt,const PetscInt[],const PetscInt[],PetscInt);
293 
294 PETSC_EXTERN PetscErrorCode MatSetColoring(Mat,ISColoring);
295 PETSC_EXTERN PetscErrorCode MatSetValuesAdifor(Mat,PetscInt,void*);
296 
297 /*E
298     MatAssemblyType - Indicates if the matrix is now to be used, or if you plan
299      to continue to add values to it
300 
301     Level: beginner
302 
303 .seealso: MatAssemblyBegin(), MatAssemblyEnd()
304 E*/
305 typedef enum {MAT_FLUSH_ASSEMBLY=1,MAT_FINAL_ASSEMBLY=0} MatAssemblyType;
306 PETSC_EXTERN PetscErrorCode MatAssemblyBegin(Mat,MatAssemblyType);
307 PETSC_EXTERN PetscErrorCode MatAssemblyEnd(Mat,MatAssemblyType);
308 PETSC_EXTERN PetscErrorCode MatAssembled(Mat,PetscBool *);
309 
310 
311 
312 /*E
313     MatOption - Options that may be set for a matrix and its behavior or storage
314 
315     Level: beginner
316 
317    Any additions/changes here MUST also be made in include/finclude/petscmat.h
318 
319    Developer Notes: Entries that are negative need not be called collectively by all processes.
320 
321 .seealso: MatSetOption()
322 E*/
323 typedef enum {MAT_OPTION_MIN = -5,
324               MAT_NEW_NONZERO_LOCATION_ERR = -4,
325               MAT_UNUSED_NONZERO_LOCATION_ERR = -3,
326               MAT_NEW_NONZERO_ALLOCATION_ERR = -2,
327               MAT_ROW_ORIENTED = -1,
328               MAT_SYMMETRIC = 1,
329               MAT_STRUCTURALLY_SYMMETRIC = 2,
330               MAT_NEW_DIAGONALS = 3,
331               MAT_IGNORE_OFF_PROC_ENTRIES = 4,
332               MAT_USE_HASH_TABLE = 5,
333               MAT_KEEP_NONZERO_PATTERN = 6,
334               MAT_IGNORE_ZERO_ENTRIES = 7,
335               MAT_USE_INODES = 8,
336               MAT_HERMITIAN = 9,
337               MAT_SYMMETRY_ETERNAL = 10,
338               MAT_DUMMY = 11,
339               MAT_IGNORE_LOWER_TRIANGULAR = 12,
340               MAT_ERROR_LOWER_TRIANGULAR = 13,
341               MAT_GETROW_UPPERTRIANGULAR = 14,
342               MAT_SPD = 15,
343               MAT_NO_OFF_PROC_ZERO_ROWS = 16,
344               MAT_NO_OFF_PROC_ENTRIES = 17,
345               MAT_NEW_NONZERO_LOCATIONS = 18,
346               MAT_OPTION_MAX = 19} MatOption;
347 
348 PETSC_EXTERN const char *MatOptions[];
349 PETSC_EXTERN PetscErrorCode MatSetOption(Mat,MatOption,PetscBool );
350 PETSC_EXTERN PetscErrorCode MatGetType(Mat,MatType*);
351 
352 PETSC_EXTERN PetscErrorCode MatGetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar[]);
353 PETSC_EXTERN PetscErrorCode MatGetRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
354 PETSC_EXTERN PetscErrorCode MatRestoreRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
355 PETSC_EXTERN PetscErrorCode MatGetRowUpperTriangular(Mat);
356 PETSC_EXTERN PetscErrorCode MatRestoreRowUpperTriangular(Mat);
357 PETSC_EXTERN PetscErrorCode MatGetColumn(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
358 PETSC_EXTERN PetscErrorCode MatRestoreColumn(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
359 PETSC_EXTERN PetscErrorCode MatGetColumnVector(Mat,Vec,PetscInt);
360 PETSC_EXTERN PetscErrorCode MatSeqAIJGetArray(Mat,PetscScalar *[]);
361 PETSC_EXTERN PetscErrorCode MatSeqAIJRestoreArray(Mat,PetscScalar *[]);
362 PETSC_EXTERN PetscErrorCode MatSeqAIJGetMaxRowNonzeros(Mat,PetscInt*);
363 PETSC_EXTERN PetscErrorCode MatSeqAIJSetValuesLocalFast(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
364 PETSC_EXTERN PetscErrorCode MatDenseGetArray(Mat,PetscScalar *[]);
365 PETSC_EXTERN PetscErrorCode MatDenseRestoreArray(Mat,PetscScalar *[]);
366 PETSC_EXTERN PetscErrorCode MatGetBlockSize(Mat,PetscInt *);
367 PETSC_EXTERN PetscErrorCode MatSetBlockSize(Mat,PetscInt);
368 PETSC_EXTERN PetscErrorCode MatGetBlockSizes(Mat,PetscInt *,PetscInt *);
369 PETSC_EXTERN PetscErrorCode MatSetBlockSizes(Mat,PetscInt,PetscInt);
370 PETSC_EXTERN PetscErrorCode MatSetBlockSizesFromMats(Mat,Mat,Mat);
371 PETSC_EXTERN PetscErrorCode MatSetNThreads(Mat,PetscInt);
372 PETSC_EXTERN PetscErrorCode MatGetNThreads(Mat,PetscInt*);
373 
374 PETSC_EXTERN PetscErrorCode MatMult(Mat,Vec,Vec);
375 PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat,Vec,Vec);
376 PETSC_EXTERN PetscErrorCode MatMultAdd(Mat,Vec,Vec,Vec);
377 PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat,Vec,Vec);
378 PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat,Vec,Vec);
379 PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat,Mat,PetscReal,PetscBool *);
380 PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat,Mat,PetscReal,PetscBool *);
381 PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat,Vec,Vec,Vec);
382 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat,Vec,Vec,Vec);
383 PETSC_EXTERN PetscErrorCode MatMultConstrained(Mat,Vec,Vec);
384 PETSC_EXTERN PetscErrorCode MatMultTransposeConstrained(Mat,Vec,Vec);
385 PETSC_EXTERN PetscErrorCode MatMatSolve(Mat,Mat,Mat);
386 PETSC_EXTERN PetscErrorCode MatResidual(Mat,Vec,Vec,Vec);
387 
388 /*E
389     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
390   its numerical values copied over or just its nonzero structure.
391 
392     Level: beginner
393 
394    Any additions/changes here MUST also be made in include/finclude/petscmat.h
395 
396 $   MAT_SHARE_NONZERO_PATTERN - the i and j arrays in the new matrix will be shared with the original matrix
397 $                               this also triggers the MAT_DO_NOT_COPY_VALUES option. This is used when you
398 $                               have several matrices with the same nonzero pattern.
399 
400 .seealso: MatDuplicate()
401 E*/
402 typedef enum {MAT_DO_NOT_COPY_VALUES,MAT_COPY_VALUES,MAT_SHARE_NONZERO_PATTERN} MatDuplicateOption;
403 
404 PETSC_EXTERN PetscErrorCode MatConvert(Mat,MatType,MatReuse,Mat*);
405 PETSC_EXTERN PetscErrorCode MatDuplicate(Mat,MatDuplicateOption,Mat*);
406 
407 
408 PETSC_EXTERN PetscErrorCode MatCopy(Mat,Mat,MatStructure);
409 PETSC_EXTERN PetscErrorCode MatView(Mat,PetscViewer);
410 PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat,PetscReal,PetscBool *);
411 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat,PetscBool *);
412 PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat,PetscReal,PetscBool *);
413 PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat,PetscBool *,PetscBool *);
414 PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat,PetscBool *,PetscBool *);
415 PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat,PetscBool  *,PetscInt *);
416 PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);
417 
418 PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
419 PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
420 PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
421 PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
422 
423 /*S
424      MatInfo - Context of matrix information, used with MatGetInfo()
425 
426    In Fortran this is simply a double precision array of dimension MAT_INFO_SIZE
427 
428    Level: intermediate
429 
430   Concepts: matrix^nonzero information
431 
432 .seealso:  MatGetInfo(), MatInfoType
433 S*/
434 typedef struct {
435   PetscLogDouble block_size;                         /* block size */
436   PetscLogDouble nz_allocated,nz_used,nz_unneeded;   /* number of nonzeros */
437   PetscLogDouble memory;                             /* memory allocated */
438   PetscLogDouble assemblies;                         /* number of matrix assemblies called */
439   PetscLogDouble mallocs;                            /* number of mallocs during MatSetValues() */
440   PetscLogDouble fill_ratio_given,fill_ratio_needed; /* fill ratio for LU/ILU */
441   PetscLogDouble factor_mallocs;                     /* number of mallocs during factorization */
442 } MatInfo;
443 
444 /*E
445     MatInfoType - Indicates if you want information about the local part of the matrix,
446      the entire parallel matrix or the maximum over all the local parts.
447 
448     Level: beginner
449 
450    Any additions/changes here MUST also be made in include/finclude/petscmat.h
451 
452 .seealso: MatGetInfo(), MatInfo
453 E*/
454 typedef enum {MAT_LOCAL=1,MAT_GLOBAL_MAX=2,MAT_GLOBAL_SUM=3} MatInfoType;
455 PETSC_EXTERN PetscErrorCode MatGetInfo(Mat,MatInfoType,MatInfo*);
456 PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat,Vec);
457 PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat,Vec,PetscInt[]);
458 PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat,Vec,PetscInt[]);
459 PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat,Vec,PetscInt[]);
460 PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat,Vec,PetscInt[]);
461 PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat,Vec);
462 PETSC_EXTERN PetscErrorCode MatTranspose(Mat,MatReuse,Mat*);
463 PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat,MatReuse,Mat*);
464 PETSC_EXTERN PetscErrorCode MatPermute(Mat,IS,IS,Mat *);
465 PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat,Vec,Vec);
466 PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat,Vec,InsertMode);
467 PETSC_EXTERN PetscErrorCode MatEqual(Mat,Mat,PetscBool *);
468 PETSC_EXTERN PetscErrorCode MatMultEqual(Mat,Mat,PetscInt,PetscBool *);
469 PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat,Mat,PetscInt,PetscBool *);
470 PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat,Mat,PetscInt,PetscBool *);
471 PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat,Mat,PetscInt,PetscBool *);
472 
473 PETSC_EXTERN PetscErrorCode MatNorm(Mat,NormType,PetscReal *);
474 PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat,NormType,PetscReal *);
475 PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
476 PETSC_EXTERN PetscErrorCode MatZeroRows(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
477 PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat,IS,PetscScalar,Vec,Vec);
478 PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat,PetscInt,const MatStencil [],PetscScalar,Vec,Vec);
479 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat,PetscInt,const MatStencil[],PetscScalar,Vec,Vec);
480 PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
481 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat,IS,PetscScalar,Vec,Vec);
482 
483 PETSC_EXTERN PetscErrorCode MatGetSize(Mat,PetscInt*,PetscInt*);
484 PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat,PetscInt*,PetscInt*);
485 PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat,PetscInt*,PetscInt*);
486 PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat,const PetscInt**);
487 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat,PetscInt*,PetscInt*);
488 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat,const PetscInt**);
489 PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat,IS*,IS*);
490 
491 PETSC_EXTERN PetscErrorCode MatGetSubMatrices(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
492 PETSC_EXTERN PetscErrorCode MatGetSubMatricesParallel(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
493 PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt,Mat *[]);
494 PETSC_EXTERN PetscErrorCode MatGetSubMatrix(Mat,IS,IS,MatReuse,Mat *);
495 PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat,IS,IS,Mat*);
496 PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat,IS,IS,Mat*);
497 PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat,Mat*);
498 PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat*);
499 
500 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJConcatenateSeqAIJ(MPI_Comm,Mat,PetscInt,MatReuse,Mat*);
501 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJConcatenateSeqAIJSymbolic(MPI_Comm,Mat,PetscInt,Mat*);
502 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJConcatenateSeqAIJNumeric(MPI_Comm,Mat,PetscInt,Mat);
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 
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 MatGetRedundantMatrix(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 
564 /*MC
565    MatSetValue - Set a single entry into a matrix.
566 
567    Not collective
568 
569    Synopsis:
570      #include <petscmat.h>
571      PetscErrorCode MatSetValue(Mat m,PetscInt row,PetscInt col,PetscScalar value,InsertMode mode)
572 
573    Input Parameters:
574 +  m - the matrix
575 .  row - the row location of the entry
576 .  col - the column location of the entry
577 .  value - the value to insert
578 -  mode - either INSERT_VALUES or ADD_VALUES
579 
580    Notes:
581    For efficiency one should use MatSetValues() and set several or many
582    values simultaneously if possible.
583 
584    Level: beginner
585 
586 .seealso: MatSetValues(), MatSetValueLocal()
587 M*/
588 PETSC_STATIC_INLINE PetscErrorCode MatSetValue(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValues(v,1,&i,1,&j,&va,mode);}
589 
590 PETSC_STATIC_INLINE PetscErrorCode MatGetValue(Mat v,PetscInt i,PetscInt j,PetscScalar *va) {return MatGetValues(v,1,&i,1,&j,va);}
591 
592 PETSC_STATIC_INLINE PetscErrorCode MatSetValueLocal(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValuesLocal(v,1,&i,1,&j,&va,mode);}
593 
594 /*MC
595    MatPreallocateInitialize - Begins the block of code that will count the number of nonzeros per
596        row in a matrix providing the data that one can use to correctly preallocate the matrix.
597 
598    Synopsis:
599    #include <petscmat.h>
600    PetscErrorCode MatPreallocateInitialize(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
601 
602    Collective on MPI_Comm
603 
604    Input Parameters:
605 +  comm - the communicator that will share the eventually allocated matrix
606 .  nrows - the number of LOCAL rows in the matrix
607 -  ncols - the number of LOCAL columns in the matrix
608 
609    Output Parameters:
610 +  dnz - the array that will be passed to the matrix preallocation routines
611 -  ozn - the other array passed to the matrix preallocation routines
612 
613    Level: intermediate
614 
615    Notes:
616     See Users-Manual: ch_performance for more details.
617 
618    Do not malloc or free dnz and onz, that is handled internally by these routines
619 
620    Use MatPreallocateInitializeSymmetric() for symmetric matrices (MPISBAIJ matrices)
621 
622    This is a MACRO not a function because it has a leading { that is closed by PetscPreallocateFinalize().
623 
624   Concepts: preallocation^Matrix
625 
626 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
627           MatPreallocateInitializeSymmetric(), MatPreallocateSymmetricSetLocalBlock()
628 M*/
629 #define MatPreallocateInitialize(comm,nrows,ncols,dnz,onz) 0; \
630 { \
631   PetscErrorCode _4_ierr; PetscInt __nrows = (nrows),__ctmp = (ncols),__rstart,__start,__end; \
632   _4_ierr = PetscCalloc2(__nrows,&dnz,__nrows,&onz);CHKERRQ(_4_ierr); \
633   __start = 0; __end = __start;                                         \
634   _4_ierr = MPI_Scan(&__ctmp,&__end,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __start = __end - __ctmp;\
635   _4_ierr = MPI_Scan(&__nrows,&__rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __nrows;
636 
637 /*MC
638    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
639        inserted using a local number of the rows and columns
640 
641    Synopsis:
642    #include <petscmat.h>
643    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
644 
645    Not Collective
646 
647    Input Parameters:
648 +  map - the row mapping from local numbering to global numbering
649 .  nrows - the number of rows indicated
650 .  rows - the indices of the rows
651 .  cmap - the column mapping from local to global numbering
652 .  ncols - the number of columns in the matrix
653 .  cols - the columns indicated
654 .  dnz - the array that will be passed to the matrix preallocation routines
655 -  ozn - the other array passed to the matrix preallocation routines
656 
657    Level: intermediate
658 
659    Notes:
660     See Users-Manual: ch_performance for more details.
661 
662    Do not malloc or free dnz and onz, that is handled internally by these routines
663 
664   Concepts: preallocation^Matrix
665 
666 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
667           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock()
668 M*/
669 #define MatPreallocateSetLocal(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
670 {\
671   PetscInt __l;\
672   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
673   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
674   for (__l=0;__l<nrows;__l++) {\
675     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
676   }\
677 }
678 
679 /*MC
680    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
681        inserted using a local number of the rows and columns
682 
683    Synopsis:
684    #include <petscmat.h>
685    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
686 
687    Not Collective
688 
689    Input Parameters:
690 +  map - the row mapping from local numbering to global numbering
691 .  nrows - the number of rows indicated
692 .  rows - the indices of the rows
693 .  cmap - the column mapping from local to global numbering
694 .  ncols - the number of columns in the matrix
695 .  cols - the columns indicated
696 .  dnz - the array that will be passed to the matrix preallocation routines
697 -  ozn - the other array passed to the matrix preallocation routines
698 
699    Level: intermediate
700 
701    Notes:
702     See Users-Manual: ch_performance for more details.
703 
704    Do not malloc or free dnz and onz, that is handled internally by these routines
705 
706   Concepts: preallocation^Matrix
707 
708 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
709           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock()
710 M*/
711 #define MatPreallocateSetLocalBlock(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
712 {\
713   PetscInt __l;\
714   _4_ierr = ISLocalToGlobalMappingApplyBlock(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
715   _4_ierr = ISLocalToGlobalMappingApplyBlock(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
716   for (__l=0;__l<nrows;__l++) {\
717     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
718   }\
719 }
720 
721 /*MC
722    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
723        inserted using a local number of the rows and columns
724 
725    Synopsis:
726    #include <petscmat.h>
727    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
728 
729    Not Collective
730 
731    Input Parameters:
732 +  map - the mapping between local numbering and global numbering
733 .  nrows - the number of rows indicated
734 .  rows - the indices of the rows
735 .  ncols - the number of columns in the matrix
736 .  cols - the columns indicated
737 .  dnz - the array that will be passed to the matrix preallocation routines
738 -  ozn - the other array passed to the matrix preallocation routines
739 
740    Level: intermediate
741 
742    Notes:
743     See Users-Manual: ch_performance for more details.
744 
745    Do not malloc or free dnz and onz that is handled internally by these routines
746 
747   Concepts: preallocation^Matrix
748 
749 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateInitialize(),
750           MatPreallocateInitialize(),  MatPreallocateSetLocal()
751 M*/
752 #define MatPreallocateSymmetricSetLocalBlock(map,nrows,rows,ncols,cols,dnz,onz) 0;\
753 {\
754   PetscInt __l;\
755   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
756   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
757   for (__l=0;__l<nrows;__l++) {\
758     _4_ierr = MatPreallocateSymmetricSetBlock((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
759   }\
760 }
761 /*MC
762    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
763        inserted using a local number of the rows and columns
764 
765    Synopsis:
766    #include <petscmat.h>
767    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
768 
769    Not Collective
770 
771    Input Parameters:
772 +  row - the row
773 .  ncols - the number of columns in the matrix
774 -  cols - the columns indicated
775 
776    Output Parameters:
777 +  dnz - the array that will be passed to the matrix preallocation routines
778 -  ozn - the other array passed to the matrix preallocation routines
779 
780    Level: intermediate
781 
782    Notes:
783     See Users-Manual: ch_performance for more details.
784 
785    Do not malloc or free dnz and onz that is handled internally by these routines
786 
787    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
788 
789   Concepts: preallocation^Matrix
790 
791 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
792           MatPreallocateInitialize(), MatPreallocateSetLocal()
793 M*/
794 #define MatPreallocateSet(row,nc,cols,dnz,onz) 0;\
795 { PetscInt __i; \
796   if (row < __rstart) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Trying to set preallocation for row %D less than first local row %D",row,__rstart);\
797   if (row >= __rstart+__nrows) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Trying to set preallocation for row %D greater than last local row %D",row,__rstart+__nrows-1);\
798   for (__i=0; __i<nc; __i++) {\
799     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
800     else dnz[row - __rstart]++;\
801   }\
802 }
803 
804 /*MC
805    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
806        inserted using a local number of the rows and columns
807 
808    Synopsis:
809    #include <petscmat.h>
810    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
811 
812    Not Collective
813 
814    Input Parameters:
815 +  nrows - the number of rows indicated
816 .  rows - the indices of the rows
817 .  ncols - the number of columns in the matrix
818 .  cols - the columns indicated
819 .  dnz - the array that will be passed to the matrix preallocation routines
820 -  ozn - the other array passed to the matrix preallocation routines
821 
822    Level: intermediate
823 
824    Notes:
825     See Users-Manual: ch_performance for more details.
826 
827    Do not malloc or free dnz and onz that is handled internally by these routines
828 
829    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
830 
831   Concepts: preallocation^Matrix
832 
833 .seealso: MatPreallocateFinalize(), MatPreallocateSet(),  MatPreallocateInitialize(),
834           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
835 M*/
836 #define MatPreallocateSymmetricSetBlock(row,nc,cols,dnz,onz) 0;\
837 { PetscInt __i; \
838   for (__i=0; __i<nc; __i++) {\
839     if (cols[__i] >= __end) onz[row - __rstart]++; \
840     else if (cols[__i] >= row) dnz[row - __rstart]++;\
841   }\
842 }
843 
844 /*MC
845    MatPreallocateLocation -  An alternative to MatPreallocationSet() that puts the nonzero locations into the matrix if it exists
846 
847    Synopsis:
848    #include <petscmat.h>
849    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
850 
851    Not Collective
852 
853    Input Parameters:
854 .  A - matrix
855 .  row - row where values exist (must be local to this process)
856 .  ncols - number of columns
857 .  cols - columns with nonzeros
858 .  dnz - the array that will be passed to the matrix preallocation routines
859 -  ozn - the other array passed to the matrix preallocation routines
860 
861    Level: intermediate
862 
863    Notes:
864     See Users-Manual: ch_performance for more details.
865 
866    Do not malloc or free dnz and onz that is handled internally by these routines
867 
868    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
869 
870   Concepts: preallocation^Matrix
871 
872 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
873           MatPreallocateSymmetricSetLocalBlock()
874 M*/
875 #define MatPreallocateLocation(A,row,ncols,cols,dnz,onz) 0;if (A) {ierr = MatSetValues(A,1,&row,ncols,cols,NULL,INSERT_VALUES);CHKERRQ(ierr);} else {ierr =  MatPreallocateSet(row,ncols,cols,dnz,onz);CHKERRQ(ierr);}
876 
877 
878 /*MC
879    MatPreallocateFinalize - Ends the block of code that will count the number of nonzeros per
880        row in a matrix providing the data that one can use to correctly preallocate the matrix.
881 
882    Synopsis:
883    #include <petscmat.h>
884    PetscErrorCode MatPreallocateFinalize(PetscInt *dnz, PetscInt *onz)
885 
886    Collective on MPI_Comm
887 
888    Input Parameters:
889 +  dnz - the array that was be passed to the matrix preallocation routines
890 -  ozn - the other array passed to the matrix preallocation routines
891 
892    Level: intermediate
893 
894    Notes:
895     See Users-Manual: ch_performance for more details.
896 
897    Do not malloc or free dnz and onz that is handled internally by these routines
898 
899    This is a MACRO not a function because it closes the { started in MatPreallocateInitialize().
900 
901   Concepts: preallocation^Matrix
902 
903 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
904           MatPreallocateSymmetricSetLocalBlock()
905 M*/
906 #define MatPreallocateFinalize(dnz,onz) 0;_4_ierr = PetscFree2(dnz,onz);CHKERRQ(_4_ierr);}
907 
908 /* Routines unique to particular data structures */
909 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat,void *);
910 
911 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat,IS*,IS*);
912 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat,PetscInt *,PetscInt *[],PetscInt *);
913 
914 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat,PetscInt[]);
915 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat,PetscInt[]);
916 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
917 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
918 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
919 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*,PetscInt,PetscBool);
920 
921 #define MAT_SKIP_ALLOCATION -4
922 
923 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
924 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
925 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat,PetscInt,const PetscInt[]);
926 
927 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
928 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
929 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
930 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat,const PetscInt [],const PetscInt [],const PetscScalar []);
931 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
932 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]);
933 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
934 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat,PetscInt[],PetscInt[],PetscInt[]);
935 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
936 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
937 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
938 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
939 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat,Mat*);
940 
941 PETSC_EXTERN PetscErrorCode MatISSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
942 PETSC_EXTERN PetscErrorCode MatSeqDenseSetLDA(Mat,PetscInt);
943 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat,Mat*);
944 
945 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
946 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
947 
948 PETSC_EXTERN PetscErrorCode MatDAADSetCtx(Mat,void*);
949 
950 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat,IS*);
951 /*
952   These routines are not usually accessed directly, rather solving is
953   done through the KSP and PC interfaces.
954 */
955 
956 /*J
957     MatOrderingType - String with the name of a PETSc matrix ordering
958 
959    Level: beginner
960 
961 .seealso: MatGetOrdering()
962 J*/
963 typedef const char* MatOrderingType;
964 #define MATORDERINGNATURAL     "natural"
965 #define MATORDERINGND          "nd"
966 #define MATORDERING1WD         "1wd"
967 #define MATORDERINGRCM         "rcm"
968 #define MATORDERINGQMD         "qmd"
969 #define MATORDERINGROWLENGTH   "rowlength"
970 #define MATORDERINGWBM         "wbm"
971 #define MATORDERINGSPECTRAL    "spectral"
972 #define MATORDERINGAMD         "amd"            /* only works if UMFPACK is installed with PETSc */
973 
974 PETSC_EXTERN PetscErrorCode MatGetOrdering(Mat,MatOrderingType,IS*,IS*);
975 PETSC_EXTERN PetscErrorCode MatGetOrderingList(PetscFunctionList*);
976 PETSC_EXTERN PetscErrorCode MatOrderingRegister(const char[],PetscErrorCode(*)(Mat,MatOrderingType,IS*,IS*));
977 PETSC_EXTERN PetscErrorCode MatOrderingRegisterAll(void);
978 PETSC_EXTERN PetscBool         MatOrderingRegisterAllCalled;
979 PETSC_EXTERN PetscFunctionList MatOrderingList;
980 
981 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
982 PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat,PetscReal,PetscBool,Mat*);
983 
984 /*S
985     MatFactorShiftType - Numeric Shift.
986 
987    Level: beginner
988 
989 S*/
990 typedef enum {MAT_SHIFT_NONE,MAT_SHIFT_NONZERO,MAT_SHIFT_POSITIVE_DEFINITE,MAT_SHIFT_INBLOCKS} MatFactorShiftType;
991 PETSC_EXTERN const char *const MatFactorShiftTypes[];
992 PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];
993 
994 /*S
995    MatFactorInfo - Data passed into the matrix factorization routines
996 
997    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE, that is use
998 $     MatFactorInfo  info(MAT_FACTORINFO_SIZE)
999 
1000    Notes: These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
1001 
1002       You can use MatFactorInfoInitialize() to set default values.
1003 
1004    Level: developer
1005 
1006 .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor(),
1007           MatFactorInfoInitialize()
1008 
1009 S*/
1010 typedef struct {
1011   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
1012   PetscReal     usedt;
1013   PetscReal     dt;             /* drop tolerance */
1014   PetscReal     dtcol;          /* tolerance for pivoting */
1015   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
1016   PetscReal     fill;           /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1017   PetscReal     levels;         /* ICC/ILU(levels) */
1018   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1019                                    factorization may be faster if do not pivot */
1020   PetscReal     zeropivot;      /* pivot is called zero if less than this */
1021   PetscReal     shifttype;      /* type of shift added to matrix factor to prevent zero pivots */
1022   PetscReal     shiftamount;     /* how large the shift is */
1023 } MatFactorInfo;
1024 
1025 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo*);
1026 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat,IS,const MatFactorInfo*);
1027 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1028 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat,Mat,const MatFactorInfo*);
1029 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat,IS,IS,const MatFactorInfo*);
1030 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat,IS,IS,const MatFactorInfo*);
1031 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1032 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1033 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1034 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat,IS,const MatFactorInfo*);
1035 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat,Mat,const MatFactorInfo*);
1036 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat,PetscInt*,PetscInt*,PetscInt*);
1037 PETSC_EXTERN PetscErrorCode MatSolve(Mat,Vec,Vec);
1038 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat,Vec,Vec);
1039 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat,Vec,Vec);
1040 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat,Vec,Vec,Vec);
1041 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat,Vec,Vec);
1042 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
1043 PETSC_EXTERN PetscErrorCode MatSolves(Mat,Vecs,Vecs);
1044 
1045 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
1046 
1047 /*E
1048     MatSORType - What type of (S)SOR to perform
1049 
1050     Level: beginner
1051 
1052    May be bitwise ORd together
1053 
1054    Any additions/changes here MUST also be made in include/finclude/petscmat.h
1055 
1056    MatSORType may be bitwise ORd together, so do not change the numbers
1057 
1058 .seealso: MatSOR()
1059 E*/
1060 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
1061               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
1062               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
1063               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
1064 PETSC_EXTERN PetscErrorCode MatSOR(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
1065 
1066 /*
1067     These routines are for efficiently computing Jacobians via finite differences.
1068 */
1069 
1070 /*S
1071      MatColoring - Object for managing the coloring of matrices.
1072 
1073    Level: beginner
1074 
1075   Concepts: matrix, coloring
1076 
1077 .seealso:  MatFDColoringCreate() ISColoring MatFDColoring
1078 S*/
1079 typedef struct _p_MatColoring* MatColoring;
1080 /*J
1081     MatColoringType - String with the name of a PETSc matrix coloring
1082 
1083    Level: beginner
1084 
1085 .seealso: MatColoringSetType(), MatColoring
1086 J*/
1087 
1088 typedef const  char*           MatColoringType;
1089 #define MATCOLORINGJP      "jp"
1090 #define MATCOLORINGPOWER   "power"
1091 #define MATCOLORINGNATURAL "natural"
1092 #define MATCOLORINGSL      "sl"
1093 #define MATCOLORINGLF      "lf"
1094 #define MATCOLORINGID      "id"
1095 #define MATCOLORINGGREEDY  "greedy"
1096 
1097 /*E
1098    MatColoringWeightType - Type of weight scheme
1099 
1100     Not Collective
1101 
1102 +   MAT_COLORING_RANDOM  - Random weights
1103 .   MAT_COLORING_LEXICAL - Lexical weighting based upon global numbering.
1104 -   MAT_COLORING_LF      - Last-first weighting.
1105 
1106     Level: intermediate
1107 
1108    Any additions/changes here MUST also be made in include/finclude/petscmat.h
1109 
1110 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1111 E*/
1112 typedef enum {MAT_COLORING_WEIGHT_RANDOM,MAT_COLORING_WEIGHT_LEXICAL,MAT_COLORING_WEIGHT_LF,MAT_COLORING_WEIGHT_SL} MatColoringWeightType;
1113 
1114 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat,MatColoring*);
1115 PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat,PetscInt,PetscInt*);
1116 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring*);
1117 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring,PetscViewer);
1118 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring,MatColoringType);
1119 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1120 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring,PetscInt);
1121 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring,PetscInt*);
1122 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring,PetscInt);
1123 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring,PetscInt*);
1124 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring,ISColoring*);
1125 PETSC_EXTERN PetscErrorCode MatColoringRegisterAll(void);
1126 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[],PetscErrorCode(*)(MatColoring));
1127 PETSC_EXTERN PetscBool MatColoringRegisterAllCalled;
1128 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat,PetscInt,PetscInt,ISColoringValue[],ISColoring*);
1129 PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring,MatColoringWeightType);
1130 PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring,PetscReal*,PetscInt*);
1131 PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring,PetscReal **,PetscInt **lperm);
1132 
1133 /*S
1134      MatFDColoring - Object for computing a sparse Jacobian via finite differences
1135         and coloring
1136 
1137    Level: beginner
1138 
1139   Concepts: coloring, sparse Jacobian, finite differences
1140 
1141 .seealso:  MatFDColoringCreate()
1142 S*/
1143 typedef struct _p_MatFDColoring* MatFDColoring;
1144 
1145 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
1146 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring*);
1147 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring,PetscViewer);
1148 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring,PetscErrorCode (*)(void),void*);
1149 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring,PetscErrorCode (**)(void),void**);
1150 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
1151 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1152 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat,MatFDColoring,Vec,void *);
1153 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring,Vec);
1154 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring,PetscInt*,PetscInt*[]);
1155 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat,ISColoring,MatFDColoring);
1156 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring,PetscInt,PetscInt);
1157 
1158 
1159 /*S
1160      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring
1161 
1162    Level: beginner
1163 
1164   Concepts: coloring, sparse matrix product
1165 
1166 .seealso:  MatTransposeColoringCreate()
1167 S*/
1168 typedef struct _p_MatTransposeColoring* MatTransposeColoring;
1169 
1170 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat,ISColoring,MatTransposeColoring *);
1171 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring,Mat,Mat);
1172 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring,Mat,Mat);
1173 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring*);
1174 
1175 /*
1176     These routines are for partitioning matrices: currently used only
1177   for adjacency matrix, MatCreateMPIAdj().
1178 */
1179 
1180 /*S
1181      MatPartitioning - Object for managing the partitioning of a matrix or graph
1182 
1183    Level: beginner
1184 
1185   Concepts: partitioning
1186 
1187 .seealso:  MatPartitioningCreate(), MatPartitioningType
1188 S*/
1189 typedef struct _p_MatPartitioning* MatPartitioning;
1190 
1191 /*J
1192     MatPartitioningType - String with the name of a PETSc matrix partitioning
1193 
1194    Level: beginner
1195 dm
1196 .seealso: MatPartitioningCreate(), MatPartitioning
1197 J*/
1198 typedef const char* MatPartitioningType;
1199 #define MATPARTITIONINGCURRENT  "current"
1200 #define MATPARTITIONINGSQUARE   "square"
1201 #define MATPARTITIONINGPARMETIS "parmetis"
1202 #define MATPARTITIONINGCHACO    "chaco"
1203 #define MATPARTITIONINGPARTY    "party"
1204 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1205 
1206 
1207 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1208 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning,MatPartitioningType);
1209 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning,PetscInt);
1210 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning,Mat);
1211 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning,const PetscInt[]);
1212 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1213 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning,IS*);
1214 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning*);
1215 
1216 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[],PetscErrorCode (*)(MatPartitioning));
1217 
1218 PETSC_EXTERN PetscBool MatPartitioningRegisterAllCalled;
1219 
1220 PETSC_EXTERN PetscErrorCode MatPartitioningRegisterAll(void);
1221 
1222 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning,PetscViewer);
1223 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1224 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
1225 
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     These routines are for coarsening matrices:
1275 */
1276 
1277 /*S
1278      MatCoarsen - Object for managing the coarsening of a graph (symmetric matrix)
1279 
1280    Level: beginner
1281 
1282   Concepts: coarsen
1283 
1284 .seealso:  MatCoarsenCreate), MatCoarsenType
1285 S*/
1286 typedef struct _p_MatCoarsen* MatCoarsen;
1287 
1288 /*J
1289     MatCoarsenType - String with the name of a PETSc matrix coarsen
1290 
1291    Level: beginner
1292 
1293 .seealso: MatCoarsenCreate(), MatCoarsen
1294 J*/
1295 typedef const char* MatCoarsenType;
1296 #define MATCOARSENMIS  "mis"
1297 #define MATCOARSENHEM  "hem"
1298 
1299 /* linked list for aggregates */
1300 typedef struct _PetscCDIntNd{
1301   struct _PetscCDIntNd *next;
1302   PetscInt             gid;
1303 }PetscCDIntNd;
1304 
1305 /* only used by node pool */
1306 typedef struct _PetscCDArrNd{
1307   struct _PetscCDArrNd *next;
1308   struct _PetscCDIntNd *array;
1309 }PetscCDArrNd;
1310 
1311 typedef struct _PetscCoarsenData{
1312   PetscCDArrNd pool_list;  /* node pool */
1313   PetscCDIntNd *new_node;
1314   PetscInt     new_left;
1315   PetscInt     chk_sz;
1316   PetscCDIntNd *extra_nodes;
1317   PetscCDIntNd **array;  /* Array of lists */
1318   PetscInt     size;
1319   Mat          mat;  /* cache a Mat for communication data */
1320 }PetscCoarsenData;
1321 
1322 PETSC_EXTERN PetscErrorCode MatCoarsenCreate(MPI_Comm,MatCoarsen*);
1323 PETSC_EXTERN PetscErrorCode MatCoarsenSetType(MatCoarsen,MatCoarsenType);
1324 PETSC_EXTERN PetscErrorCode MatCoarsenSetAdjacency(MatCoarsen,Mat);
1325 PETSC_EXTERN PetscErrorCode MatCoarsenSetGreedyOrdering(MatCoarsen,const IS);
1326 PETSC_EXTERN PetscErrorCode MatCoarsenSetStrictAggs(MatCoarsen,PetscBool);
1327 PETSC_EXTERN PetscErrorCode MatCoarsenSetVerbose(MatCoarsen,PetscInt);
1328 PETSC_EXTERN PetscErrorCode MatCoarsenGetData( MatCoarsen, PetscCoarsenData ** );
1329 PETSC_EXTERN PetscErrorCode MatCoarsenApply(MatCoarsen);
1330 PETSC_EXTERN PetscErrorCode MatCoarsenDestroy(MatCoarsen*);
1331 
1332 PETSC_EXTERN PetscErrorCode MatCoarsenRegister(const char[],PetscErrorCode (*)(MatCoarsen));
1333 
1334 PETSC_EXTERN PetscBool MatCoarsenRegisterAllCalled;
1335 
1336 PETSC_EXTERN PetscErrorCode MatCoarsenRegisterAll(void);
1337 
1338 PETSC_EXTERN PetscErrorCode MatCoarsenView(MatCoarsen,PetscViewer);
1339 PETSC_EXTERN PetscErrorCode MatCoarsenSetFromOptions(MatCoarsen);
1340 PETSC_EXTERN PetscErrorCode MatCoarsenGetType(MatCoarsen,MatCoarsenType*);
1341 PETSC_STATIC_INLINE PetscErrorCode MatCoarsenViewFromOptions(MatCoarsen A,const char prefix[],const char name[]) {return PetscObjectViewFromOptions((PetscObject)A,prefix,name);}
1342 
1343 PETSC_EXTERN PetscErrorCode MatMeshToVertexGraph(Mat,PetscInt,Mat*);
1344 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat,PetscInt,Mat*);
1345 
1346 /*
1347     If you add entries here you must also add them to finclude/petscmat.h
1348 */
1349 typedef enum { MATOP_SET_VALUES=0,
1350                MATOP_GET_ROW=1,
1351                MATOP_RESTORE_ROW=2,
1352                MATOP_MULT=3,
1353                MATOP_MULT_ADD=4,
1354                MATOP_MULT_TRANSPOSE=5,
1355                MATOP_MULT_TRANSPOSE_ADD=6,
1356                MATOP_SOLVE=7,
1357                MATOP_SOLVE_ADD=8,
1358                MATOP_SOLVE_TRANSPOSE=9,
1359                MATOP_SOLVE_TRANSPOSE_ADD=10,
1360                MATOP_LUFACTOR=11,
1361                MATOP_CHOLESKYFACTOR=12,
1362                MATOP_SOR=13,
1363                MATOP_TRANSPOSE=14,
1364                MATOP_GETINFO=15,
1365                MATOP_EQUAL=16,
1366                MATOP_GET_DIAGONAL=17,
1367                MATOP_DIAGONAL_SCALE=18,
1368                MATOP_NORM=19,
1369                MATOP_ASSEMBLY_BEGIN=20,
1370                MATOP_ASSEMBLY_END=21,
1371                MATOP_SET_OPTION=22,
1372                MATOP_ZERO_ENTRIES=23,
1373                MATOP_ZERO_ROWS=24,
1374                MATOP_LUFACTOR_SYMBOLIC=25,
1375                MATOP_LUFACTOR_NUMERIC=26,
1376                MATOP_CHOLESKY_FACTOR_SYMBOLIC=27,
1377                MATOP_CHOLESKY_FACTOR_NUMERIC=28,
1378                MATOP_SETUP_PREALLOCATION=29,
1379                MATOP_ILUFACTOR_SYMBOLIC=30,
1380                MATOP_ICCFACTOR_SYMBOLIC=31,
1381                /* MATOP_PLACEHOLDER_32=32, */
1382                /* MATOP_PLACEHOLDER_33=33, */
1383                MATOP_DUPLICATE=34,
1384                MATOP_FORWARD_SOLVE=35,
1385                MATOP_BACKWARD_SOLVE=36,
1386                MATOP_ILUFACTOR=37,
1387                MATOP_ICCFACTOR=38,
1388                MATOP_AXPY=39,
1389                MATOP_GET_SUBMATRICES=40,
1390                MATOP_INCREASE_OVERLAP=41,
1391                MATOP_GET_VALUES=42,
1392                MATOP_COPY=43,
1393                MATOP_GET_ROW_MAX=44,
1394                MATOP_SCALE=45,
1395                MATOP_SHIFT=46,
1396                MATOP_DIAGONAL_SET=47,
1397                MATOP_ZERO_ROWS_COLUMNS=48,
1398                MATOP_SET_RANDOM=49,
1399                MATOP_GET_ROW_IJ=50,
1400                MATOP_RESTORE_ROW_IJ=51,
1401                MATOP_GET_COLUMN_IJ=52,
1402                MATOP_RESTORE_COLUMN_IJ=53,
1403                MATOP_FDCOLORING_CREATE=54,
1404                MATOP_COLORING_PATCH=55,
1405                MATOP_SET_UNFACTORED=56,
1406                MATOP_PERMUTE=57,
1407                MATOP_SET_VALUES_BLOCKED=58,
1408                MATOP_GET_SUBMATRIX=59,
1409                MATOP_DESTROY=60,
1410                MATOP_VIEW=61,
1411                MATOP_CONVERT_FROM=62,
1412                MATOP_MATMAT_MULT=63,
1413                MATOP_MATMAT_MULT_SYMBOLIC=64,
1414                MATOP_MATMAT_MULT_NUMERIC=65,
1415                MATOP_SET_LOCAL_TO_GLOBAL_MAP=66,
1416                MATOP_SET_VALUES_LOCAL=67,
1417                MATOP_ZERO_ROWS_LOCAL=68,
1418                MATOP_GET_ROW_MAX_ABS=69,
1419                MATOP_GET_ROW_MIN_ABS=70,
1420                MATOP_CONVERT=71,
1421                MATOP_SET_COLORING=72,
1422                /* MATOP_PLACEHOLDER_73=73, */
1423                MATOP_SET_VALUES_ADIFOR=74,
1424                MATOP_FD_COLORING_APPLY=75,
1425                MATOP_SET_FROM_OPTIONS=76,
1426                MATOP_MULT_CONSTRAINED=77,
1427                MATOP_MULT_TRANSPOSE_CONSTRAIN=78,
1428                MATOP_FIND_ZERO_DIAGONALS=79,
1429                MATOP_MULT_MULTIPLE=80,
1430                MATOP_SOLVE_MULTIPLE=81,
1431                MATOP_GET_INERTIA=82,
1432                MATOP_LOAD=83,
1433                MATOP_IS_SYMMETRIC=84,
1434                MATOP_IS_HERMITIAN=85,
1435                MATOP_IS_STRUCTURALLY_SYMMETRIC=86,
1436                MATOP_SET_VALUES_BLOCKEDLOCAL=87,
1437                MATOP_GET_VECS=88,
1438                MATOP_MAT_MULT=89,
1439                MATOP_MAT_MULT_SYMBOLIC=90,
1440                MATOP_MAT_MULT_NUMERIC=91,
1441                MATOP_PTAP=92,
1442                MATOP_PTAP_SYMBOLIC=93,
1443                MATOP_PTAP_NUMERIC=94,
1444                MATOP_MAT_TRANSPOSE_MULT=95,
1445                MATOP_MAT_TRANSPOSE_MULT_SYMBO=96,
1446                MATOP_MAT_TRANSPOSE_MULT_NUMER=97,
1447                /* MATOP_PLACEHOLDER_98=98, */
1448                /* MATOP_PLACEHOLDER_99=99, */
1449                /* MATOP_PLACEHOLDER_100=100, */
1450                /* MATOP_PLACEHOLDER_101=101, */
1451                MATOP_CONJUGATE=102,
1452                /* MATOP_PLACEHOLDER_103=103, */
1453                MATOP_SET_VALUES_ROW=104,
1454                MATOP_REAL_PART=105,
1455                MATOP_IMAGINARY_PART=106,
1456                MATOP_GET_ROW_UPPER_TRIANGULAR=107,
1457                MATOP_RESTORE_ROW_UPPER_TRIANG=108,
1458                MATOP_MAT_SOLVE=109,
1459                MATOP_GET_REDUNDANT_MATRIX=110,
1460                MATOP_GET_ROW_MIN=111,
1461                MATOP_GET_COLUMN_VECTOR=112,
1462                MATOP_MISSING_DIAGONAL=113,
1463                MATOP_GET_SEQ_NONZERO_STRUCTUR=114,
1464                MATOP_CREATE=115,
1465                MATOP_GET_GHOSTS=116,
1466                MATOP_GET_LOCAL_SUB_MATRIX=117,
1467                MATOP_RESTORE_LOCALSUB_MATRIX=118,
1468                MATOP_MULT_DIAGONAL_BLOCK=119,
1469                MATOP_HERMITIAN_TRANSPOSE=120,
1470                MATOP_MULT_HERMITIAN_TRANSPOSE=121,
1471                MATOP_MULT_HERMITIAN_TRANS_ADD=122,
1472                MATOP_GET_MULTI_PROC_BLOCK=123,
1473                MATOP_FIND_NONZERO_ROWS=124,
1474                MATOP_GET_COLUMN_NORMS=125,
1475                MATOP_INVERT_BLOCK_DIAGONAL=126,
1476                /* MATOP_PLACEHOLDER_127=127, */
1477                MATOP_GET_SUB_MATRICES_PARALLE=128,
1478                MATOP_SET_VALUES_BATCH=129,
1479                MATOP_TRANSPOSE_MAT_MULT=130,
1480                MATOP_TRANSPOSE_MAT_MULT_SYMBO=131,
1481                MATOP_TRANSPOSE_MAT_MULT_NUMER=132,
1482                MATOP_TRANSPOSE_COLORING_CREAT=133,
1483                MATOP_TRANS_COLORING_APPLY_SPT=134,
1484                MATOP_TRANS_COLORING_APPLY_DEN=135,
1485                MATOP_RART=136,
1486                MATOP_RART_SYMBOLIC=137,
1487                MATOP_RART_NUMERIC=138,
1488                MATOP_SET_BLOCK_SIZES=139,
1489                MATOP_AYPX=140,
1490                MATOP_RESIDUAL=141,
1491                MATOP_FDCOLORING_SETUP= 142
1492              } MatOperation;
1493 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat,MatOperation,PetscBool *);
1494 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat,MatOperation,void(*)(void));
1495 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat,MatOperation,void(**)(void));
1496 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat,void*);
1497 
1498 /*
1499    Codes for matrices stored on disk. By default they are
1500    stored in a universal format. By changing the format with
1501    PetscViewerSetFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
1502    be stored in a way natural for the matrix, for example dense matrices
1503    would be stored as dense. Matrices stored this way may only be
1504    read into matrices of the same type.
1505 */
1506 #define MATRIX_BINARY_FORMAT_DENSE -1
1507 
1508 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1509 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat,Mat*);
1510 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat,Mat);
1511 PETSC_EXTERN PetscErrorCode MatISGetMPIXAIJ(Mat,MatReuse,Mat*);
1512 
1513 /*S
1514      MatNullSpace - Object that removes a null space from a vector, i.e.
1515          orthogonalizes the vector to a subsapce
1516 
1517    Level: advanced
1518 
1519   Concepts: matrix; linear operator, null space
1520 
1521   Users manual sections:
1522 .   sec_singular
1523 
1524 .seealso:  MatNullSpaceCreate()
1525 S*/
1526 typedef struct _p_MatNullSpace* MatNullSpace;
1527 
1528 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm,PetscBool ,PetscInt,const Vec[],MatNullSpace*);
1529 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace,PetscErrorCode (*)(MatNullSpace,Vec,void*),void*);
1530 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace*);
1531 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace,Vec);
1532 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
1533 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat,MatNullSpace);
1534 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat,MatNullSpace);
1535 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat,MatNullSpace*);
1536 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace,Mat,PetscBool  *);
1537 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace,PetscViewer);
1538 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace,PetscBool*,PetscInt*,const Vec**);
1539 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec,MatNullSpace*);
1540 
1541 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat,IS);
1542 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1543 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat,PetscInt *);
1544 PETSC_EXTERN PetscErrorCode MatSeqBAIJInvertBlockDiagonal(Mat);
1545 
1546 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat,PetscInt,Mat*);
1547 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat,PetscInt,Mat*);
1548 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat,Mat*);
1549 
1550 PETSC_EXTERN PetscErrorCode MatComputeExplicitOperator(Mat,Mat*);
1551 
1552 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat,Vec);
1553 
1554 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
1555 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat,Vec,Vec);
1556 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat,PetscErrorCode(*)(void*,Vec,Vec),void*);
1557 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat,PetscErrorCode (*)(void*,PetscInt,Vec,PetscScalar*));
1558 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat,PetscErrorCode (*)(void*,Vec));
1559 PETSC_EXTERN PetscErrorCode MatMFFDAddNullSpace(Mat,MatNullSpace);
1560 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat,PetscScalar[],PetscInt);
1561 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
1562 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat,PetscReal);
1563 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat,PetscInt);
1564 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat,PetscScalar *);
1565 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat,const char[]);
1566 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void*,Vec,Vec,PetscScalar*);
1567 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat,PetscErrorCode (*)(void*,Vec,Vec,PetscScalar*),void*);
1568 
1569 /*S
1570     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
1571               Jacobian vector products
1572 
1573     Notes: MATMFFD is a specific MatType which uses the MatMFFD data structure
1574 
1575            MatMFFD*() methods actually take the Mat as their first argument. Not a MatMFFD data structure
1576 
1577     Level: developer
1578 
1579 .seealso: MATMFFD, MatCreateMFFD(), MatMFFDSetFuction(), MatMFFDSetType(), MatMFFDRegister()
1580 S*/
1581 typedef struct _p_MatMFFD* MatMFFD;
1582 
1583 /*J
1584     MatMFFDType - algorithm used to compute the h used in computing matrix-vector products via differencing of the function
1585 
1586    Level: beginner
1587 
1588 .seealso: MatMFFDSetType(), MatMFFDRegister()
1589 J*/
1590 typedef const char* MatMFFDType;
1591 #define MATMFFD_DS  "ds"
1592 #define MATMFFD_WP  "wp"
1593 
1594 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat,MatMFFDType);
1595 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[],PetscErrorCode (*)(MatMFFD));
1596 
1597 PETSC_EXTERN PetscErrorCode MatMFFDRegisterAll(void);
1598 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat,PetscReal);
1599 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat,PetscBool );
1600 
1601 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
1602 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
1603 
1604 /*
1605    PETSc interface to MUMPS
1606 */
1607 #ifdef PETSC_HAVE_MUMPS
1608 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat,PetscInt,PetscInt);
1609 PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat,PetscInt,PetscInt*);
1610 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat,PetscInt,PetscReal);
1611 PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat,PetscInt,PetscReal*);
1612 
1613 PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat,PetscInt,PetscInt*);
1614 PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat,PetscInt,PetscInt*);
1615 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat,PetscInt,PetscReal*);
1616 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat,PetscInt,PetscReal*);
1617 #endif
1618 
1619 /*
1620    PETSc interface to Mkl_Pardiso
1621 */
1622 #ifdef PETSC_HAVE_MKL_PARDISO
1623 PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat,PetscInt,PetscInt);
1624 #endif
1625 
1626 /*
1627    PETSc interface to SUPERLU
1628 */
1629 #ifdef PETSC_HAVE_SUPERLU
1630 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat,PetscReal);
1631 #endif
1632 
1633 #ifdef PETSC_HAVE_CUDA
1634 /*E
1635     MatCUSPARSEStorageFormat - indicates the storage format for CUSPARSE (GPU)
1636     matrices.
1637 
1638     Not Collective
1639 
1640 +   MAT_CUSPARSE_CSR - Compressed Sparse Row
1641 .   MAT_CUSPARSE_ELL - Ellpack (requires CUDA 4.2 or later).
1642 -   MAT_CUSPARSE_HYB - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
1643 
1644     Level: intermediate
1645 
1646    Any additions/changes here MUST also be made in include/finclude/petscmat.h
1647 
1648 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEFormatOperation
1649 E*/
1650 
1651 typedef enum {MAT_CUSPARSE_CSR, MAT_CUSPARSE_ELL, MAT_CUSPARSE_HYB} MatCUSPARSEStorageFormat;
1652 
1653 /* these will be strings associated with enumerated type defined above */
1654 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
1655 
1656 /*E
1657     MatCUSPARSEFormatOperation - indicates the operation of CUSPARSE (GPU)
1658     matrices whose operation should use a particular storage format.
1659 
1660     Not Collective
1661 
1662 +   MAT_CUSPARSE_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1663 .   MAT_CUSPARSE_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1664 .   MAT_CUSPARSE_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1665 -   MAT_CUSPARSE_ALL - sets the storage format for all CUSPARSE (GPU) matrices
1666 
1667     Level: intermediate
1668 
1669 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEStorageFormat
1670 E*/
1671 typedef enum {MAT_CUSPARSE_MULT_DIAG, MAT_CUSPARSE_MULT_OFFDIAG, MAT_CUSPARSE_MULT, MAT_CUSPARSE_ALL} MatCUSPARSEFormatOperation;
1672 
1673 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1674 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1675 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat,MatCUSPARSEFormatOperation,MatCUSPARSEStorageFormat);
1676 #endif
1677 
1678 #if defined(PETSC_HAVE_CUSP)
1679 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1680 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1681 
1682 /*E
1683     MatCUSPStorageFormat - indicates the storage format for CUSP (GPU)
1684     matrices.
1685 
1686     Not Collective
1687 
1688 +   MAT_CUSP_CSR - Compressed Sparse Row
1689 .   MAT_CUSP_DIA - Diagonal
1690 -   MAT_CUSP_ELL - Ellpack
1691 
1692     Level: intermediate
1693 
1694    Any additions/changes here MUST also be made in include/finclude/petscmat.h
1695 
1696 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1697 E*/
1698 typedef enum {MAT_CUSP_CSR, MAT_CUSP_DIA, MAT_CUSP_ELL} MatCUSPStorageFormat;
1699 
1700 /* these will be strings associated with enumerated type defined above */
1701 PETSC_EXTERN const char *const MatCUSPStorageFormats[];
1702 
1703 /*E
1704     MatCUSPFormatOperation - indicates the operation of CUSP (GPU)
1705     matrices whose operation should use a particular storage format.
1706 
1707     Not Collective
1708 
1709 +   MAT_CUSP_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1710 .   MAT_CUSP_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1711 .   MAT_CUSP_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1712 -   MAT_CUSP_ALL - sets the storage format for all CUSP (GPU) matrices
1713 
1714     Level: intermediate
1715 
1716    Any additions/changes here MUST also be made in include/finclude/petscmat.h
1717 
1718 .seealso: MatCUSPSetFormat(), MatCUSPStorageFormat
1719 E*/
1720 typedef enum {MAT_CUSP_MULT_DIAG, MAT_CUSP_MULT_OFFDIAG, MAT_CUSP_MULT, MAT_CUSP_ALL} MatCUSPFormatOperation;
1721 
1722 PETSC_EXTERN PetscErrorCode MatCUSPSetFormat(Mat,MatCUSPFormatOperation,MatCUSPStorageFormat);
1723 #endif
1724 
1725 #if defined(PETSC_HAVE_VIENNACL)
1726 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1727 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1728 #endif
1729 
1730 /*
1731    PETSc interface to FFTW
1732 */
1733 #if defined(PETSC_HAVE_FFTW)
1734 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat,Vec,Vec);
1735 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat,Vec,Vec);
1736 PETSC_EXTERN PetscErrorCode MatCreateVecsFFTW(Mat,Vec*,Vec*,Vec*);
1737 #endif
1738 
1739 #if defined(PETSC_HAVE_ELEMENTAL)
1740 PETSC_EXTERN PetscErrorCode PetscElementalInitializePackage(void);
1741 PETSC_EXTERN PetscErrorCode PetscElementalFinalizePackage(void);
1742 #endif
1743 
1744 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm,PetscInt,const IS[],PetscInt,const IS[],const Mat[],Mat*);
1745 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat,PetscInt*,PetscInt*);
1746 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat,IS[],IS[]);
1747 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat,IS[],IS[]);
1748 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat,PetscInt*,PetscInt*,Mat***);
1749 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat,PetscInt,PetscInt,Mat*);
1750 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat,VecType);
1751 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat,PetscInt,const IS[],PetscInt,const IS[],const Mat[]);
1752 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat,PetscInt,PetscInt,Mat);
1753 
1754 PETSC_EXTERN PetscErrorCode MatChop(Mat,PetscReal);
1755 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat,PetscReal,PetscInt*);
1756 
1757 #endif
1758