xref: /petsc/include/petscmat.h (revision f9185b66528dabef5134ab6cdcf228fe8b971b0e)
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 MATSOLVERMKL_CPARDISO "mkl_cpardiso"
111 #define MATSOLVERPASTIX       "pastix"
112 #define MATSOLVERMATLAB       "matlab"
113 #define MATSOLVERPETSC        "petsc"
114 #define MATSOLVERBAS          "bas"
115 #define MATSOLVERCUSPARSE     "cusparse"
116 #define MATSOLVERBSTRM        "bstrm"
117 #define MATSOLVERSBSTRM       "sbstrm"
118 #define MATSOLVERELEMENTAL    "elemental"
119 #define MATSOLVERCLIQUE       "clique"
120 #define MATSOLVERKLU          "klu"
121 
122 /*E
123     MatFactorType - indicates what type of factorization is requested
124 
125     Level: beginner
126 
127    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
128 
129 .seealso: MatSolverPackage, MatGetFactor()
130 E*/
131 typedef enum {MAT_FACTOR_NONE, MAT_FACTOR_LU, MAT_FACTOR_CHOLESKY, MAT_FACTOR_ILU, MAT_FACTOR_ICC,MAT_FACTOR_ILUDT} MatFactorType;
132 PETSC_EXTERN const char *const MatFactorTypes[];
133 
134 PETSC_EXTERN PetscErrorCode MatGetFactor(Mat,const MatSolverPackage,MatFactorType,Mat*);
135 PETSC_EXTERN PetscErrorCode MatGetFactorAvailable(Mat,const MatSolverPackage,MatFactorType,PetscBool *);
136 PETSC_EXTERN PetscErrorCode MatFactorGetSolverPackage(Mat,const MatSolverPackage*);
137 PETSC_EXTERN PetscErrorCode MatGetFactorType(Mat,MatFactorType*);
138 PETSC_EXTERN PetscErrorCode MatSolverPackageRegister(const MatSolverPackage,const MatType,MatFactorType,PetscErrorCode(*)(Mat,MatFactorType,Mat*));
139 PETSC_EXTERN PetscErrorCode MatSolverPackageGet(const MatSolverPackage,const MatType,MatFactorType,PetscBool*,PetscBool*,PetscErrorCode (**)(Mat,MatFactorType,Mat*));
140 
141 /* Logging support */
142 #define    MAT_FILE_CLASSID 1211216    /* used to indicate matrices in binary files */
143 PETSC_EXTERN PetscClassId MAT_CLASSID;
144 PETSC_EXTERN PetscClassId MAT_COLORING_CLASSID;
145 PETSC_EXTERN PetscClassId MAT_FDCOLORING_CLASSID;
146 PETSC_EXTERN PetscClassId MAT_TRANSPOSECOLORING_CLASSID;
147 PETSC_EXTERN PetscClassId MAT_PARTITIONING_CLASSID;
148 PETSC_EXTERN PetscClassId MAT_COARSEN_CLASSID;
149 PETSC_EXTERN PetscClassId MAT_NULLSPACE_CLASSID;
150 PETSC_EXTERN PetscClassId MATMFFD_CLASSID;
151 
152 /*E
153     MatReuse - Indicates if matrices obtained from a previous call to MatGetSubMatrices()
154      or MatGetSubMatrix() are to be reused to store the new matrix values. For MatConvert() is used to indicate
155      that the input matrix is to be replaced with the converted matrix.
156 
157     Level: beginner
158 
159    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
160 
161 .seealso: MatGetSubMatrices(), MatGetSubMatrix(), MatDestroyMatrices(), MatConvert()
162 E*/
163 typedef enum {MAT_INITIAL_MATRIX,MAT_REUSE_MATRIX,MAT_IGNORE_MATRIX} MatReuse;
164 
165 /*E
166     MatGetSubMatrixOption - Indicates if matrices obtained from a call to MatGetSubMatrices()
167      include the matrix values. Currently it is only used by MatGetSeqNonzerostructure().
168 
169     Level: beginner
170 
171 .seealso: MatGetSeqNonzerostructure()
172 E*/
173 typedef enum {MAT_DO_NOT_GET_VALUES,MAT_GET_VALUES} MatGetSubMatrixOption;
174 
175 PETSC_EXTERN PetscErrorCode MatInitializePackage(void);
176 
177 PETSC_EXTERN PetscErrorCode MatCreate(MPI_Comm,Mat*);
178 PETSC_EXTERN PetscErrorCode MatSetSizes(Mat,PetscInt,PetscInt,PetscInt,PetscInt);
179 PETSC_EXTERN PetscErrorCode MatSetType(Mat,MatType);
180 PETSC_EXTERN PetscErrorCode MatSetFromOptions(Mat);
181 PETSC_STATIC_INLINE PetscErrorCode MatViewFromOptions(Mat A,const char prefix[],const char name[]) {return PetscObjectViewFromOptions((PetscObject)A,prefix,name);}
182 PETSC_EXTERN PetscErrorCode MatRegister(const char[],PetscErrorCode(*)(Mat));
183 PETSC_EXTERN PetscErrorCode MatRegisterBaseName(const char[],const char[],const char[]);
184 PETSC_EXTERN PetscErrorCode MatSetOptionsPrefix(Mat,const char[]);
185 PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefix(Mat,const char[]);
186 PETSC_EXTERN PetscErrorCode MatGetOptionsPrefix(Mat,const char*[]);
187 
188 PETSC_EXTERN PetscFunctionList MatList;
189 PETSC_EXTERN PetscFunctionList MatColoringList;
190 PETSC_EXTERN PetscFunctionList MatPartitioningList;
191 PETSC_EXTERN PetscFunctionList MatCoarsenList;
192 
193 /*E
194     MatStructure - Indicates if two matrices have the same nonzero structure
195 
196     Level: beginner
197 
198    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
199 
200 .seealso: MatCopy(), MatAXPY()
201 E*/
202 typedef enum {DIFFERENT_NONZERO_PATTERN,SUBSET_NONZERO_PATTERN,SAME_NONZERO_PATTERN} MatStructure;
203 
204 PETSC_EXTERN PetscErrorCode MatCreateSeqDense(MPI_Comm,PetscInt,PetscInt,PetscScalar[],Mat*);
205 PETSC_EXTERN PetscErrorCode MatCreateDense(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar[],Mat*);
206 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
207 PETSC_EXTERN PetscErrorCode MatCreateAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
208 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
209 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSplitArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],PetscInt[],PetscInt[],PetscScalar[],Mat*);
210 
211 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
212 PETSC_EXTERN PetscErrorCode MatCreateBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
213 PETSC_EXTERN PetscErrorCode MatCreateMPIBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat*);
214 
215 PETSC_EXTERN PetscErrorCode MatCreateMPIAdj(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscInt[],Mat*);
216 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
217 
218 PETSC_EXTERN PetscErrorCode MatCreateSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
219 PETSC_EXTERN PetscErrorCode MatCreateMPISBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
220 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
221 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
222 PETSC_EXTERN PetscErrorCode MatXAIJSetPreallocation(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscInt[],const PetscInt[]);
223 
224 PETSC_EXTERN PetscErrorCode MatCreateShell(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,void *,Mat*);
225 PETSC_EXTERN PetscErrorCode MatCreateNormal(Mat,Mat*);
226 PETSC_EXTERN PetscErrorCode MatCreateLRC(Mat,Mat,Mat,Mat*);
227 PETSC_EXTERN PetscErrorCode MatCreateIS(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,ISLocalToGlobalMapping,Mat*);
228 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
229 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
230 
231 PETSC_EXTERN PetscErrorCode MatCreateSeqBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
232 PETSC_EXTERN PetscErrorCode MatCreateMPIBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
233 PETSC_EXTERN PetscErrorCode MatCreateSeqSBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
234 PETSC_EXTERN PetscErrorCode MatCreateMPISBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
235 
236 PETSC_EXTERN PetscErrorCode MatCreateScatter(MPI_Comm,VecScatter,Mat*);
237 PETSC_EXTERN PetscErrorCode MatScatterSetVecScatter(Mat,VecScatter);
238 PETSC_EXTERN PetscErrorCode MatScatterGetVecScatter(Mat,VecScatter*);
239 PETSC_EXTERN PetscErrorCode MatCreateBlockMat(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt*,Mat*);
240 PETSC_EXTERN PetscErrorCode MatCompositeAddMat(Mat,Mat);
241 PETSC_EXTERN PetscErrorCode MatCompositeMerge(Mat);
242 PETSC_EXTERN PetscErrorCode MatCreateComposite(MPI_Comm,PetscInt,const Mat*,Mat*);
243 typedef enum {MAT_COMPOSITE_ADDITIVE,MAT_COMPOSITE_MULTIPLICATIVE} MatCompositeType;
244 PETSC_EXTERN PetscErrorCode MatCompositeSetType(Mat,MatCompositeType);
245 
246 PETSC_EXTERN PetscErrorCode MatCreateFFT(MPI_Comm,PetscInt,const PetscInt[],MatType,Mat*);
247 PETSC_EXTERN PetscErrorCode MatCreateSeqCUFFT(MPI_Comm,PetscInt,const PetscInt[],Mat*);
248 
249 PETSC_EXTERN PetscErrorCode MatCreateTranspose(Mat,Mat*);
250 PETSC_EXTERN PetscErrorCode MatCreateHermitianTranspose(Mat,Mat*);
251 PETSC_EXTERN PetscErrorCode MatCreateSubMatrix(Mat,IS,IS,Mat*);
252 PETSC_EXTERN PetscErrorCode MatSubMatrixUpdate(Mat,Mat,IS,IS);
253 PETSC_EXTERN PetscErrorCode MatCreateLocalRef(Mat,IS,IS,Mat*);
254 
255 PETSC_EXTERN PetscErrorCode MatPythonSetType(Mat,const char[]);
256 
257 PETSC_EXTERN PetscErrorCode MatSetUp(Mat);
258 PETSC_EXTERN PetscErrorCode MatDestroy(Mat*);
259 PETSC_EXTERN PetscErrorCode MatGetNonzeroState(Mat,PetscObjectState*);
260 
261 PETSC_EXTERN PetscErrorCode MatConjugate(Mat);
262 PETSC_EXTERN PetscErrorCode MatRealPart(Mat);
263 PETSC_EXTERN PetscErrorCode MatImaginaryPart(Mat);
264 PETSC_EXTERN PetscErrorCode MatGetDiagonalBlock(Mat,Mat*);
265 PETSC_EXTERN PetscErrorCode MatGetTrace(Mat,PetscScalar*);
266 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonal(Mat,const PetscScalar **);
267 
268 /* ------------------------------------------------------------*/
269 PETSC_EXTERN PetscErrorCode MatSetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
270 PETSC_EXTERN PetscErrorCode MatSetValuesBlocked(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
271 PETSC_EXTERN PetscErrorCode MatSetValuesRow(Mat,PetscInt,const PetscScalar[]);
272 PETSC_EXTERN PetscErrorCode MatSetValuesRowLocal(Mat,PetscInt,const PetscScalar[]);
273 PETSC_EXTERN PetscErrorCode MatSetValuesBatch(Mat,PetscInt,PetscInt,PetscInt[],const PetscScalar[]);
274 PETSC_EXTERN PetscErrorCode MatSetRandom(Mat,PetscRandom);
275 
276 /*S
277      MatStencil - Data structure (C struct) for storing information about a single row or
278         column of a matrix as indexed on an associated grid.
279 
280    Fortran usage is different, see MatSetValuesStencil() for details.
281 
282    Level: beginner
283 
284   Concepts: matrix; linear operator
285 
286 .seealso:  MatSetValuesStencil(), MatSetStencil(), MatSetValuesBlockedStencil()
287 S*/
288 typedef struct {
289   PetscInt k,j,i,c;
290 } MatStencil;
291 
292 PETSC_EXTERN PetscErrorCode MatSetValuesStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
293 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
294 PETSC_EXTERN PetscErrorCode MatSetStencil(Mat,PetscInt,const PetscInt[],const PetscInt[],PetscInt);
295 
296 PETSC_EXTERN PetscErrorCode MatSetColoring(Mat,ISColoring);
297 PETSC_EXTERN PetscErrorCode MatSetValuesAdifor(Mat,PetscInt,void*);
298 
299 /*E
300     MatAssemblyType - Indicates if the matrix is now to be used, or if you plan
301      to continue to add values to it
302 
303     Level: beginner
304 
305 .seealso: MatAssemblyBegin(), MatAssemblyEnd()
306 E*/
307 typedef enum {MAT_FLUSH_ASSEMBLY=1,MAT_FINAL_ASSEMBLY=0} MatAssemblyType;
308 PETSC_EXTERN PetscErrorCode MatAssemblyBegin(Mat,MatAssemblyType);
309 PETSC_EXTERN PetscErrorCode MatAssemblyEnd(Mat,MatAssemblyType);
310 PETSC_EXTERN PetscErrorCode MatAssembled(Mat,PetscBool *);
311 
312 
313 
314 /*E
315     MatOption - Options that may be set for a matrix and its behavior or storage
316 
317     Level: beginner
318 
319    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
320 
321    Developer Notes: Entries that are negative need not be called collectively by all processes.
322 
323 .seealso: MatSetOption()
324 E*/
325 typedef enum {MAT_OPTION_MIN = -5,
326               MAT_NEW_NONZERO_LOCATION_ERR = -4,
327               MAT_UNUSED_NONZERO_LOCATION_ERR = -3,
328               MAT_NEW_NONZERO_ALLOCATION_ERR = -2,
329               MAT_ROW_ORIENTED = -1,
330               MAT_SYMMETRIC = 1,
331               MAT_STRUCTURALLY_SYMMETRIC = 2,
332               MAT_NEW_DIAGONALS = 3,
333               MAT_IGNORE_OFF_PROC_ENTRIES = 4,
334               MAT_USE_HASH_TABLE = 5,
335               MAT_KEEP_NONZERO_PATTERN = 6,
336               MAT_IGNORE_ZERO_ENTRIES = 7,
337               MAT_USE_INODES = 8,
338               MAT_HERMITIAN = 9,
339               MAT_SYMMETRY_ETERNAL = 10,
340               MAT_DUMMY = 11,
341               MAT_IGNORE_LOWER_TRIANGULAR = 12,
342               MAT_ERROR_LOWER_TRIANGULAR = 13,
343               MAT_GETROW_UPPERTRIANGULAR = 14,
344               MAT_SPD = 15,
345               MAT_NO_OFF_PROC_ZERO_ROWS = 16,
346               MAT_NO_OFF_PROC_ENTRIES = 17,
347               MAT_NEW_NONZERO_LOCATIONS = 18,
348               MAT_OPTION_MAX = 19} 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 MatGetSubMatricesParallel(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 MatMPIAIJSetUseScalableIncreaseOverlap(Mat,PetscBool);
513 
514 PETSC_EXTERN PetscErrorCode MatMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
515 PETSC_EXTERN PetscErrorCode MatMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
516 PETSC_EXTERN PetscErrorCode MatMatMultNumeric(Mat,Mat,Mat);
517 
518 PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
519 PETSC_EXTERN PetscErrorCode MatMatMatMultSymbolic(Mat,Mat,Mat,PetscReal,Mat*);
520 PETSC_EXTERN PetscErrorCode MatMatMatMultNumeric(Mat,Mat,Mat,Mat);
521 
522 PETSC_EXTERN PetscErrorCode MatPtAP(Mat,Mat,MatReuse,PetscReal,Mat*);
523 PETSC_EXTERN PetscErrorCode MatPtAPSymbolic(Mat,Mat,PetscReal,Mat*);
524 PETSC_EXTERN PetscErrorCode MatPtAPNumeric(Mat,Mat,Mat);
525 PETSC_EXTERN PetscErrorCode MatRARt(Mat,Mat,MatReuse,PetscReal,Mat*);
526 PETSC_EXTERN PetscErrorCode MatRARtSymbolic(Mat,Mat,PetscReal,Mat*);
527 PETSC_EXTERN PetscErrorCode MatRARtNumeric(Mat,Mat,Mat);
528 
529 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
530 PETSC_EXTERN PetscErrorCode MatTransposetMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
531 PETSC_EXTERN PetscErrorCode MatTransposetMatMultNumeric(Mat,Mat,Mat);
532 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat,Mat,MatReuse,PetscReal,Mat*);
533 PETSC_EXTERN PetscErrorCode MatMatTransposeMultSymbolic(Mat,Mat,PetscReal,Mat*);
534 PETSC_EXTERN PetscErrorCode MatMatTransposeMultNumeric(Mat,Mat,Mat);
535 
536 PETSC_EXTERN PetscErrorCode MatAXPY(Mat,PetscScalar,Mat,MatStructure);
537 PETSC_EXTERN PetscErrorCode MatAYPX(Mat,PetscScalar,Mat,MatStructure);
538 
539 PETSC_EXTERN PetscErrorCode MatScale(Mat,PetscScalar);
540 PETSC_EXTERN PetscErrorCode MatShift(Mat,PetscScalar);
541 
542 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
543 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
544 PETSC_EXTERN PetscErrorCode MatGetLayouts(Mat,PetscLayout*,PetscLayout*);
545 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
546 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
547 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
548 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
549 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
550 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
551 
552 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat,PetscInt,PetscInt);
553 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat,PetscInt*,PetscInt*,PetscInt*,PetscInt*);
554 
555 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat,Vec,Vec);
556 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat,Vec,Vec,Vec);
557 PETSC_EXTERN PetscErrorCode MatRestrict(Mat,Vec,Vec);
558 PETSC_EXTERN PetscErrorCode MatCreateVecs(Mat,Vec*,Vec*);
559 PETSC_DEPRECATED("Use MatCreateVecs()") PETSC_STATIC_INLINE PetscErrorCode MatGetVecs(Mat mat,Vec *x,Vec *y) {return MatCreateVecs(mat,x,y);}
560 PETSC_EXTERN PetscErrorCode MatCreateRedundantMatrix(Mat,PetscInt,MPI_Comm,MatReuse,Mat*);
561 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat,MPI_Comm,MatReuse,Mat*);
562 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat,IS*);
563 PETSC_EXTERN PetscErrorCode MatFindOffBlockDiagonalEntries(Mat,IS*);
564 PETSC_EXTERN PetscErrorCode MatCreateMPIMatConcatenateSeqMat(MPI_Comm,Mat,PetscInt,MatReuse,Mat*);
565 
566 /*MC
567    MatSetValue - Set a single entry into a matrix.
568 
569    Not collective
570 
571    Synopsis:
572      #include <petscmat.h>
573      PetscErrorCode MatSetValue(Mat m,PetscInt row,PetscInt col,PetscScalar value,InsertMode mode)
574 
575    Input Parameters:
576 +  m - the matrix
577 .  row - the row location of the entry
578 .  col - the column location of the entry
579 .  value - the value to insert
580 -  mode - either INSERT_VALUES or ADD_VALUES
581 
582    Notes:
583    For efficiency one should use MatSetValues() and set several or many
584    values simultaneously if possible.
585 
586    Level: beginner
587 
588 .seealso: MatSetValues(), MatSetValueLocal()
589 M*/
590 PETSC_STATIC_INLINE PetscErrorCode MatSetValue(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValues(v,1,&i,1,&j,&va,mode);}
591 
592 PETSC_STATIC_INLINE PetscErrorCode MatGetValue(Mat v,PetscInt i,PetscInt j,PetscScalar *va) {return MatGetValues(v,1,&i,1,&j,va);}
593 
594 PETSC_STATIC_INLINE PetscErrorCode MatSetValueLocal(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValuesLocal(v,1,&i,1,&j,&va,mode);}
595 
596 /*MC
597    MatPreallocateInitialize - Begins the block of code that will count the number of nonzeros per
598        row in a matrix providing the data that one can use to correctly preallocate the matrix.
599 
600    Synopsis:
601    #include <petscmat.h>
602    PetscErrorCode MatPreallocateInitialize(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
603 
604    Collective on MPI_Comm
605 
606    Input Parameters:
607 +  comm - the communicator that will share the eventually allocated matrix
608 .  nrows - the number of LOCAL rows in the matrix
609 -  ncols - the number of LOCAL columns in the matrix
610 
611    Output Parameters:
612 +  dnz - the array that will be passed to the matrix preallocation routines
613 -  ozn - the other array passed to the matrix preallocation routines
614 
615    Level: intermediate
616 
617    Notes:
618     See Users-Manual: ch_performance for more details.
619 
620    Do not malloc or free dnz and onz, that is handled internally by these routines
621 
622    Use MatPreallocateInitializeSymmetric() for symmetric matrices (MPISBAIJ matrices)
623 
624    This is a MACRO not a function because it has a leading { that is closed by PetscPreallocateFinalize().
625 
626   Concepts: preallocation^Matrix
627 
628 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
629           MatPreallocateInitializeSymmetric(), MatPreallocateSymmetricSetLocalBlock()
630 M*/
631 #define MatPreallocateInitialize(comm,nrows,ncols,dnz,onz) 0; \
632 { \
633   PetscErrorCode _4_ierr; PetscInt __nrows = (nrows),__ctmp = (ncols),__rstart,__start,__end; \
634   _4_ierr = PetscCalloc2(__nrows,&dnz,__nrows,&onz);CHKERRQ(_4_ierr); \
635   __start = 0; __end = __start;                                         \
636   _4_ierr = MPI_Scan(&__ctmp,&__end,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __start = __end - __ctmp;\
637   _4_ierr = MPI_Scan(&__nrows,&__rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __nrows;
638 
639 /*MC
640    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
641        inserted using a local number of the rows and columns
642 
643    Synopsis:
644    #include <petscmat.h>
645    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
646 
647    Not Collective
648 
649    Input Parameters:
650 +  map - the row mapping from local numbering to global numbering
651 .  nrows - the number of rows indicated
652 .  rows - the indices of the rows
653 .  cmap - the column mapping from local to global numbering
654 .  ncols - the number of columns in the matrix
655 .  cols - the columns indicated
656 .  dnz - the array that will be passed to the matrix preallocation routines
657 -  ozn - the other array passed to the matrix preallocation routines
658 
659    Level: intermediate
660 
661    Notes:
662     See Users-Manual: ch_performance for more details.
663 
664    Do not malloc or free dnz and onz, that is handled internally by these routines
665 
666   Concepts: preallocation^Matrix
667 
668 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
669           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock()
670 M*/
671 #define MatPreallocateSetLocal(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
672 {\
673   PetscInt __l;\
674   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
675   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
676   for (__l=0;__l<nrows;__l++) {\
677     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
678   }\
679 }
680 
681 /*MC
682    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
683        inserted using a local number of the rows and columns
684 
685    Synopsis:
686    #include <petscmat.h>
687    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
688 
689    Not Collective
690 
691    Input Parameters:
692 +  map - the row mapping from local numbering to global numbering
693 .  nrows - the number of rows indicated
694 .  rows - the indices of the rows
695 .  cmap - the column mapping from local to global numbering
696 .  ncols - the number of columns in the matrix
697 .  cols - the columns indicated
698 .  dnz - the array that will be passed to the matrix preallocation routines
699 -  ozn - the other array passed to the matrix preallocation routines
700 
701    Level: intermediate
702 
703    Notes:
704     See Users-Manual: ch_performance for more details.
705 
706    Do not malloc or free dnz and onz, that is handled internally by these routines
707 
708   Concepts: preallocation^Matrix
709 
710 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
711           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock()
712 M*/
713 #define MatPreallocateSetLocalBlock(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
714 {\
715   PetscInt __l;\
716   _4_ierr = ISLocalToGlobalMappingApplyBlock(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
717   _4_ierr = ISLocalToGlobalMappingApplyBlock(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
718   for (__l=0;__l<nrows;__l++) {\
719     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
720   }\
721 }
722 
723 /*MC
724    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
725        inserted using a local number of the rows and columns
726 
727    Synopsis:
728    #include <petscmat.h>
729    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
730 
731    Not Collective
732 
733    Input Parameters:
734 +  map - the mapping between local numbering and global numbering
735 .  nrows - the number of rows indicated
736 .  rows - the indices of the rows
737 .  ncols - the number of columns in the matrix
738 .  cols - the columns indicated
739 .  dnz - the array that will be passed to the matrix preallocation routines
740 -  ozn - the other array passed to the matrix preallocation routines
741 
742    Level: intermediate
743 
744    Notes:
745     See Users-Manual: ch_performance for more details.
746 
747    Do not malloc or free dnz and onz that is handled internally by these routines
748 
749   Concepts: preallocation^Matrix
750 
751 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateInitialize(),
752           MatPreallocateInitialize(),  MatPreallocateSetLocal()
753 M*/
754 #define MatPreallocateSymmetricSetLocalBlock(map,nrows,rows,ncols,cols,dnz,onz) 0;\
755 {\
756   PetscInt __l;\
757   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
758   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
759   for (__l=0;__l<nrows;__l++) {\
760     _4_ierr = MatPreallocateSymmetricSetBlock((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
761   }\
762 }
763 /*MC
764    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
765        inserted using a local number of the rows and columns
766 
767    Synopsis:
768    #include <petscmat.h>
769    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
770 
771    Not Collective
772 
773    Input Parameters:
774 +  row - the row
775 .  ncols - the number of columns in the matrix
776 -  cols - the columns indicated
777 
778    Output Parameters:
779 +  dnz - the array that will be passed to the matrix preallocation routines
780 -  ozn - the other array passed to the matrix preallocation routines
781 
782    Level: intermediate
783 
784    Notes:
785     See Users-Manual: ch_performance for more details.
786 
787    Do not malloc or free dnz and onz that is handled internally by these routines
788 
789    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
790 
791   Concepts: preallocation^Matrix
792 
793 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
794           MatPreallocateInitialize(), MatPreallocateSetLocal()
795 M*/
796 #define MatPreallocateSet(row,nc,cols,dnz,onz) 0;\
797 { PetscInt __i; \
798   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);\
799   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);\
800   for (__i=0; __i<nc; __i++) {\
801     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
802     else dnz[row - __rstart]++;\
803   }\
804 }
805 
806 /*MC
807    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
808        inserted using a local number of the rows and columns
809 
810    Synopsis:
811    #include <petscmat.h>
812    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
813 
814    Not Collective
815 
816    Input Parameters:
817 +  nrows - the number of rows indicated
818 .  rows - the indices of the rows
819 .  ncols - the number of columns in the matrix
820 .  cols - the columns indicated
821 .  dnz - the array that will be passed to the matrix preallocation routines
822 -  ozn - the other array passed to the matrix preallocation routines
823 
824    Level: intermediate
825 
826    Notes:
827     See Users-Manual: ch_performance for more details.
828 
829    Do not malloc or free dnz and onz that is handled internally by these routines
830 
831    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
832 
833   Concepts: preallocation^Matrix
834 
835 .seealso: MatPreallocateFinalize(), MatPreallocateSet(),  MatPreallocateInitialize(),
836           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
837 M*/
838 #define MatPreallocateSymmetricSetBlock(row,nc,cols,dnz,onz) 0;\
839 { PetscInt __i; \
840   for (__i=0; __i<nc; __i++) {\
841     if (cols[__i] >= __end) onz[row - __rstart]++; \
842     else if (cols[__i] >= row) dnz[row - __rstart]++;\
843   }\
844 }
845 
846 /*MC
847    MatPreallocateLocation -  An alternative to MatPreallocationSet() that puts the nonzero locations into the matrix if it exists
848 
849    Synopsis:
850    #include <petscmat.h>
851    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
852 
853    Not Collective
854 
855    Input Parameters:
856 .  A - matrix
857 .  row - row where values exist (must be local to this process)
858 .  ncols - number of columns
859 .  cols - columns with nonzeros
860 .  dnz - the array that will be passed to the matrix preallocation routines
861 -  ozn - the other array passed to the matrix preallocation routines
862 
863    Level: intermediate
864 
865    Notes:
866     See Users-Manual: ch_performance for more details.
867 
868    Do not malloc or free dnz and onz that is handled internally by these routines
869 
870    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
871 
872   Concepts: preallocation^Matrix
873 
874 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
875           MatPreallocateSymmetricSetLocalBlock()
876 M*/
877 #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);}
878 
879 
880 /*MC
881    MatPreallocateFinalize - Ends the block of code that will count the number of nonzeros per
882        row in a matrix providing the data that one can use to correctly preallocate the matrix.
883 
884    Synopsis:
885    #include <petscmat.h>
886    PetscErrorCode MatPreallocateFinalize(PetscInt *dnz, PetscInt *onz)
887 
888    Collective on MPI_Comm
889 
890    Input Parameters:
891 +  dnz - the array that was be passed to the matrix preallocation routines
892 -  ozn - the other array passed to the matrix preallocation routines
893 
894    Level: intermediate
895 
896    Notes:
897     See Users-Manual: ch_performance for more details.
898 
899    Do not malloc or free dnz and onz that is handled internally by these routines
900 
901    This is a MACRO not a function because it closes the { started in MatPreallocateInitialize().
902 
903   Concepts: preallocation^Matrix
904 
905 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
906           MatPreallocateSymmetricSetLocalBlock()
907 M*/
908 #define MatPreallocateFinalize(dnz,onz) 0;_4_ierr = PetscFree2(dnz,onz);CHKERRQ(_4_ierr);}
909 
910 /* Routines unique to particular data structures */
911 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat,void *);
912 
913 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat,IS*,IS*);
914 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat,PetscInt *,PetscInt *[],PetscInt *);
915 
916 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat,PetscInt[]);
917 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat,PetscInt[]);
918 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
919 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
920 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
921 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*,PetscInt,PetscBool);
922 
923 #define MAT_SKIP_ALLOCATION -4
924 
925 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
926 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
927 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat,PetscInt,const PetscInt[]);
928 
929 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
930 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
931 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
932 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat,const PetscInt [],const PetscInt [],const PetscScalar []);
933 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
934 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]);
935 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
936 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat,PetscInt[],PetscInt[],PetscInt[]);
937 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
938 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
939 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
940 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
941 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat,Mat*);
942 
943 PETSC_EXTERN PetscErrorCode MatISSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
944 PETSC_EXTERN PetscErrorCode MatSeqDenseSetLDA(Mat,PetscInt);
945 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat,Mat*);
946 
947 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
948 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
949 
950 PETSC_EXTERN PetscErrorCode MatDAADSetCtx(Mat,void*);
951 
952 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat,IS*);
953 /*
954   These routines are not usually accessed directly, rather solving is
955   done through the KSP and PC interfaces.
956 */
957 
958 /*J
959     MatOrderingType - String with the name of a PETSc matrix ordering
960 
961    Level: beginner
962 
963 .seealso: MatGetOrdering()
964 J*/
965 typedef const char* MatOrderingType;
966 #define MATORDERINGNATURAL     "natural"
967 #define MATORDERINGND          "nd"
968 #define MATORDERING1WD         "1wd"
969 #define MATORDERINGRCM         "rcm"
970 #define MATORDERINGQMD         "qmd"
971 #define MATORDERINGROWLENGTH   "rowlength"
972 #define MATORDERINGWBM         "wbm"
973 #define MATORDERINGSPECTRAL    "spectral"
974 #define MATORDERINGAMD         "amd"            /* only works if UMFPACK is installed with PETSc */
975 
976 PETSC_EXTERN PetscErrorCode MatGetOrdering(Mat,MatOrderingType,IS*,IS*);
977 PETSC_EXTERN PetscErrorCode MatGetOrderingList(PetscFunctionList*);
978 PETSC_EXTERN PetscErrorCode MatOrderingRegister(const char[],PetscErrorCode(*)(Mat,MatOrderingType,IS*,IS*));
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/petsc/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/petsc/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 MatColoringRegister(const char[],PetscErrorCode(*)(MatColoring));
1126 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat,PetscInt,PetscInt,ISColoringValue[],ISColoring*);
1127 PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring,MatColoringWeightType);
1128 PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring,PetscReal*,PetscInt*);
1129 PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring,PetscReal **,PetscInt **lperm);
1130 
1131 /*S
1132      MatFDColoring - Object for computing a sparse Jacobian via finite differences
1133         and coloring
1134 
1135    Level: beginner
1136 
1137   Concepts: coloring, sparse Jacobian, finite differences
1138 
1139 .seealso:  MatFDColoringCreate()
1140 S*/
1141 typedef struct _p_MatFDColoring* MatFDColoring;
1142 
1143 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
1144 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring*);
1145 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring,PetscViewer);
1146 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring,PetscErrorCode (*)(void),void*);
1147 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring,PetscErrorCode (**)(void),void**);
1148 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
1149 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1150 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat,MatFDColoring,Vec,void *);
1151 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring,Vec);
1152 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring,PetscInt*,PetscInt*[]);
1153 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat,ISColoring,MatFDColoring);
1154 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring,PetscInt,PetscInt);
1155 
1156 
1157 /*S
1158      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring
1159 
1160    Level: beginner
1161 
1162   Concepts: coloring, sparse matrix product
1163 
1164 .seealso:  MatTransposeColoringCreate()
1165 S*/
1166 typedef struct _p_MatTransposeColoring* MatTransposeColoring;
1167 
1168 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat,ISColoring,MatTransposeColoring *);
1169 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring,Mat,Mat);
1170 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring,Mat,Mat);
1171 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring*);
1172 
1173 /*
1174     These routines are for partitioning matrices: currently used only
1175   for adjacency matrix, MatCreateMPIAdj().
1176 */
1177 
1178 /*S
1179      MatPartitioning - Object for managing the partitioning of a matrix or graph
1180 
1181    Level: beginner
1182 
1183   Concepts: partitioning
1184 
1185 .seealso:  MatPartitioningCreate(), MatPartitioningType
1186 S*/
1187 typedef struct _p_MatPartitioning* MatPartitioning;
1188 
1189 /*J
1190     MatPartitioningType - String with the name of a PETSc matrix partitioning
1191 
1192    Level: beginner
1193 dm
1194 .seealso: MatPartitioningCreate(), MatPartitioning
1195 J*/
1196 typedef const char* MatPartitioningType;
1197 #define MATPARTITIONINGCURRENT  "current"
1198 #define MATPARTITIONINGSQUARE   "square"
1199 #define MATPARTITIONINGPARMETIS "parmetis"
1200 #define MATPARTITIONINGCHACO    "chaco"
1201 #define MATPARTITIONINGPARTY    "party"
1202 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1203 
1204 
1205 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1206 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning,MatPartitioningType);
1207 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning,PetscInt);
1208 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning,Mat);
1209 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning,const PetscInt[]);
1210 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1211 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning,IS*);
1212 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning*);
1213 
1214 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[],PetscErrorCode (*)(MatPartitioning));
1215 
1216 
1217 
1218 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning,PetscViewer);
1219 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1220 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
1221 
1222 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1223 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1224 
1225 typedef enum { MP_CHACO_MULTILEVEL=1,MP_CHACO_SPECTRAL=2,MP_CHACO_LINEAR=4,MP_CHACO_RANDOM=5,MP_CHACO_SCATTERED=6 } MPChacoGlobalType;
1226 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1227 typedef enum { MP_CHACO_KERNIGHAN=1,MP_CHACO_NONE=2 } MPChacoLocalType;
1228 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1229 typedef enum { MP_CHACO_LANCZOS=0,MP_CHACO_RQI=1 } MPChacoEigenType;
1230 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1231 
1232 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning,MPChacoGlobalType);
1233 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning,MPChacoGlobalType*);
1234 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning,MPChacoLocalType);
1235 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning,MPChacoLocalType*);
1236 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning,PetscReal);
1237 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning,MPChacoEigenType);
1238 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning,MPChacoEigenType*);
1239 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning,PetscReal);
1240 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning,PetscReal*);
1241 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning,PetscInt);
1242 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning,PetscInt*);
1243 
1244 #define MP_PARTY_OPT "opt"
1245 #define MP_PARTY_LIN "lin"
1246 #define MP_PARTY_SCA "sca"
1247 #define MP_PARTY_RAN "ran"
1248 #define MP_PARTY_GBF "gbf"
1249 #define MP_PARTY_GCF "gcf"
1250 #define MP_PARTY_BUB "bub"
1251 #define MP_PARTY_DEF "def"
1252 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning,const char*);
1253 #define MP_PARTY_HELPFUL_SETS "hs"
1254 #define MP_PARTY_KERNIGHAN_LIN "kl"
1255 #define MP_PARTY_NONE "no"
1256 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning,const char*);
1257 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning,PetscReal);
1258 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning,PetscBool);
1259 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning,PetscBool);
1260 
1261 typedef enum { MP_PTSCOTCH_QUALITY,MP_PTSCOTCH_SPEED,MP_PTSCOTCH_BALANCE,MP_PTSCOTCH_SAFETY,MP_PTSCOTCH_SCALABILITY } MPPTScotchStrategyType;
1262 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1263 
1264 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning,PetscReal);
1265 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning,PetscReal*);
1266 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning,MPPTScotchStrategyType);
1267 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning,MPPTScotchStrategyType*);
1268 
1269 /*
1270     These routines are for coarsening matrices:
1271 */
1272 
1273 /*S
1274      MatCoarsen - Object for managing the coarsening of a graph (symmetric matrix)
1275 
1276    Level: beginner
1277 
1278   Concepts: coarsen
1279 
1280 .seealso:  MatCoarsenCreate), MatCoarsenType
1281 S*/
1282 typedef struct _p_MatCoarsen* MatCoarsen;
1283 
1284 /*J
1285     MatCoarsenType - String with the name of a PETSc matrix coarsen
1286 
1287    Level: beginner
1288 
1289 .seealso: MatCoarsenCreate(), MatCoarsen
1290 J*/
1291 typedef const char* MatCoarsenType;
1292 #define MATCOARSENMIS  "mis"
1293 #define MATCOARSENHEM  "hem"
1294 
1295 /* linked list for aggregates */
1296 typedef struct _PetscCDIntNd{
1297   struct _PetscCDIntNd *next;
1298   PetscInt             gid;
1299 }PetscCDIntNd;
1300 
1301 /* only used by node pool */
1302 typedef struct _PetscCDArrNd{
1303   struct _PetscCDArrNd *next;
1304   struct _PetscCDIntNd *array;
1305 }PetscCDArrNd;
1306 
1307 typedef struct _PetscCoarsenData{
1308   PetscCDArrNd pool_list;  /* node pool */
1309   PetscCDIntNd *new_node;
1310   PetscInt     new_left;
1311   PetscInt     chk_sz;
1312   PetscCDIntNd *extra_nodes;
1313   PetscCDIntNd **array;  /* Array of lists */
1314   PetscInt     size;
1315   Mat          mat;  /* cache a Mat for communication data */
1316 }PetscCoarsenData;
1317 
1318 PETSC_EXTERN PetscErrorCode MatCoarsenCreate(MPI_Comm,MatCoarsen*);
1319 PETSC_EXTERN PetscErrorCode MatCoarsenSetType(MatCoarsen,MatCoarsenType);
1320 PETSC_EXTERN PetscErrorCode MatCoarsenSetAdjacency(MatCoarsen,Mat);
1321 PETSC_EXTERN PetscErrorCode MatCoarsenSetGreedyOrdering(MatCoarsen,const IS);
1322 PETSC_EXTERN PetscErrorCode MatCoarsenSetStrictAggs(MatCoarsen,PetscBool);
1323 PETSC_EXTERN PetscErrorCode MatCoarsenGetData( MatCoarsen, PetscCoarsenData ** );
1324 PETSC_EXTERN PetscErrorCode MatCoarsenApply(MatCoarsen);
1325 PETSC_EXTERN PetscErrorCode MatCoarsenDestroy(MatCoarsen*);
1326 
1327 PETSC_EXTERN PetscErrorCode MatCoarsenRegister(const char[],PetscErrorCode (*)(MatCoarsen));
1328 
1329 
1330 
1331 PETSC_EXTERN PetscErrorCode MatCoarsenView(MatCoarsen,PetscViewer);
1332 PETSC_EXTERN PetscErrorCode MatCoarsenSetFromOptions(MatCoarsen);
1333 PETSC_EXTERN PetscErrorCode MatCoarsenGetType(MatCoarsen,MatCoarsenType*);
1334 PETSC_STATIC_INLINE PetscErrorCode MatCoarsenViewFromOptions(MatCoarsen A,const char prefix[],const char name[]) {return PetscObjectViewFromOptions((PetscObject)A,prefix,name);}
1335 
1336 PETSC_EXTERN PetscErrorCode MatMeshToVertexGraph(Mat,PetscInt,Mat*);
1337 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat,PetscInt,Mat*);
1338 
1339 /*
1340     If you add entries here you must also add them to petsc/finclude/petscmat.h
1341 */
1342 typedef enum { MATOP_SET_VALUES=0,
1343                MATOP_GET_ROW=1,
1344                MATOP_RESTORE_ROW=2,
1345                MATOP_MULT=3,
1346                MATOP_MULT_ADD=4,
1347                MATOP_MULT_TRANSPOSE=5,
1348                MATOP_MULT_TRANSPOSE_ADD=6,
1349                MATOP_SOLVE=7,
1350                MATOP_SOLVE_ADD=8,
1351                MATOP_SOLVE_TRANSPOSE=9,
1352                MATOP_SOLVE_TRANSPOSE_ADD=10,
1353                MATOP_LUFACTOR=11,
1354                MATOP_CHOLESKYFACTOR=12,
1355                MATOP_SOR=13,
1356                MATOP_TRANSPOSE=14,
1357                MATOP_GETINFO=15,
1358                MATOP_EQUAL=16,
1359                MATOP_GET_DIAGONAL=17,
1360                MATOP_DIAGONAL_SCALE=18,
1361                MATOP_NORM=19,
1362                MATOP_ASSEMBLY_BEGIN=20,
1363                MATOP_ASSEMBLY_END=21,
1364                MATOP_SET_OPTION=22,
1365                MATOP_ZERO_ENTRIES=23,
1366                MATOP_ZERO_ROWS=24,
1367                MATOP_LUFACTOR_SYMBOLIC=25,
1368                MATOP_LUFACTOR_NUMERIC=26,
1369                MATOP_CHOLESKY_FACTOR_SYMBOLIC=27,
1370                MATOP_CHOLESKY_FACTOR_NUMERIC=28,
1371                MATOP_SETUP_PREALLOCATION=29,
1372                MATOP_ILUFACTOR_SYMBOLIC=30,
1373                MATOP_ICCFACTOR_SYMBOLIC=31,
1374                /* MATOP_PLACEHOLDER_32=32, */
1375                /* MATOP_PLACEHOLDER_33=33, */
1376                MATOP_DUPLICATE=34,
1377                MATOP_FORWARD_SOLVE=35,
1378                MATOP_BACKWARD_SOLVE=36,
1379                MATOP_ILUFACTOR=37,
1380                MATOP_ICCFACTOR=38,
1381                MATOP_AXPY=39,
1382                MATOP_GET_SUBMATRICES=40,
1383                MATOP_INCREASE_OVERLAP=41,
1384                MATOP_GET_VALUES=42,
1385                MATOP_COPY=43,
1386                MATOP_GET_ROW_MAX=44,
1387                MATOP_SCALE=45,
1388                MATOP_SHIFT=46,
1389                MATOP_DIAGONAL_SET=47,
1390                MATOP_ZERO_ROWS_COLUMNS=48,
1391                MATOP_SET_RANDOM=49,
1392                MATOP_GET_ROW_IJ=50,
1393                MATOP_RESTORE_ROW_IJ=51,
1394                MATOP_GET_COLUMN_IJ=52,
1395                MATOP_RESTORE_COLUMN_IJ=53,
1396                MATOP_FDCOLORING_CREATE=54,
1397                MATOP_COLORING_PATCH=55,
1398                MATOP_SET_UNFACTORED=56,
1399                MATOP_PERMUTE=57,
1400                MATOP_SET_VALUES_BLOCKED=58,
1401                MATOP_GET_SUBMATRIX=59,
1402                MATOP_DESTROY=60,
1403                MATOP_VIEW=61,
1404                MATOP_CONVERT_FROM=62,
1405                MATOP_MATMAT_MULT=63,
1406                MATOP_MATMAT_MULT_SYMBOLIC=64,
1407                MATOP_MATMAT_MULT_NUMERIC=65,
1408                MATOP_SET_LOCAL_TO_GLOBAL_MAP=66,
1409                MATOP_SET_VALUES_LOCAL=67,
1410                MATOP_ZERO_ROWS_LOCAL=68,
1411                MATOP_GET_ROW_MAX_ABS=69,
1412                MATOP_GET_ROW_MIN_ABS=70,
1413                MATOP_CONVERT=71,
1414                MATOP_SET_COLORING=72,
1415                /* MATOP_PLACEHOLDER_73=73, */
1416                MATOP_SET_VALUES_ADIFOR=74,
1417                MATOP_FD_COLORING_APPLY=75,
1418                MATOP_SET_FROM_OPTIONS=76,
1419                MATOP_MULT_CONSTRAINED=77,
1420                MATOP_MULT_TRANSPOSE_CONSTRAIN=78,
1421                MATOP_FIND_ZERO_DIAGONALS=79,
1422                MATOP_MULT_MULTIPLE=80,
1423                MATOP_SOLVE_MULTIPLE=81,
1424                MATOP_GET_INERTIA=82,
1425                MATOP_LOAD=83,
1426                MATOP_IS_SYMMETRIC=84,
1427                MATOP_IS_HERMITIAN=85,
1428                MATOP_IS_STRUCTURALLY_SYMMETRIC=86,
1429                MATOP_SET_VALUES_BLOCKEDLOCAL=87,
1430                MATOP_GET_VECS=88,
1431                MATOP_MAT_MULT=89,
1432                MATOP_MAT_MULT_SYMBOLIC=90,
1433                MATOP_MAT_MULT_NUMERIC=91,
1434                MATOP_PTAP=92,
1435                MATOP_PTAP_SYMBOLIC=93,
1436                MATOP_PTAP_NUMERIC=94,
1437                MATOP_MAT_TRANSPOSE_MULT=95,
1438                MATOP_MAT_TRANSPOSE_MULT_SYMBO=96,
1439                MATOP_MAT_TRANSPOSE_MULT_NUMER=97,
1440                /* MATOP_PLACEHOLDER_98=98, */
1441                /* MATOP_PLACEHOLDER_99=99, */
1442                /* MATOP_PLACEHOLDER_100=100, */
1443                /* MATOP_PLACEHOLDER_101=101, */
1444                MATOP_CONJUGATE=102,
1445                /* MATOP_PLACEHOLDER_103=103, */
1446                MATOP_SET_VALUES_ROW=104,
1447                MATOP_REAL_PART=105,
1448                MATOP_IMAGINARY_PART=106,
1449                MATOP_GET_ROW_UPPER_TRIANGULAR=107,
1450                MATOP_RESTORE_ROW_UPPER_TRIANG=108,
1451                MATOP_MAT_SOLVE=109,
1452                MATOP_GET_REDUNDANT_MATRIX=110,
1453                MATOP_GET_ROW_MIN=111,
1454                MATOP_GET_COLUMN_VECTOR=112,
1455                MATOP_MISSING_DIAGONAL=113,
1456                MATOP_GET_SEQ_NONZERO_STRUCTUR=114,
1457                MATOP_CREATE=115,
1458                MATOP_GET_GHOSTS=116,
1459                MATOP_GET_LOCAL_SUB_MATRIX=117,
1460                MATOP_RESTORE_LOCALSUB_MATRIX=118,
1461                MATOP_MULT_DIAGONAL_BLOCK=119,
1462                MATOP_HERMITIAN_TRANSPOSE=120,
1463                MATOP_MULT_HERMITIAN_TRANSPOSE=121,
1464                MATOP_MULT_HERMITIAN_TRANS_ADD=122,
1465                MATOP_GET_MULTI_PROC_BLOCK=123,
1466                MATOP_FIND_NONZERO_ROWS=124,
1467                MATOP_GET_COLUMN_NORMS=125,
1468                MATOP_INVERT_BLOCK_DIAGONAL=126,
1469                /* MATOP_PLACEHOLDER_127=127, */
1470                MATOP_GET_SUB_MATRICES_PARALLE=128,
1471                MATOP_SET_VALUES_BATCH=129,
1472                MATOP_TRANSPOSE_MAT_MULT=130,
1473                MATOP_TRANSPOSE_MAT_MULT_SYMBO=131,
1474                MATOP_TRANSPOSE_MAT_MULT_NUMER=132,
1475                MATOP_TRANSPOSE_COLORING_CREAT=133,
1476                MATOP_TRANS_COLORING_APPLY_SPT=134,
1477                MATOP_TRANS_COLORING_APPLY_DEN=135,
1478                MATOP_RART=136,
1479                MATOP_RART_SYMBOLIC=137,
1480                MATOP_RART_NUMERIC=138,
1481                MATOP_SET_BLOCK_SIZES=139,
1482                MATOP_AYPX=140,
1483                MATOP_RESIDUAL=141,
1484                MATOP_FDCOLORING_SETUP=142,
1485                MATOP_MPICONCATENATESEQ=144
1486              } MatOperation;
1487 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat,MatOperation,PetscBool *);
1488 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat,MatOperation,void(*)(void));
1489 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat,MatOperation,void(**)(void));
1490 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat,void*);
1491 
1492 /*
1493    Codes for matrices stored on disk. By default they are
1494    stored in a universal format. By changing the format with
1495    PetscViewerSetFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
1496    be stored in a way natural for the matrix, for example dense matrices
1497    would be stored as dense. Matrices stored this way may only be
1498    read into matrices of the same type.
1499 */
1500 #define MATRIX_BINARY_FORMAT_DENSE -1
1501 
1502 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1503 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat,Mat*);
1504 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat,Mat);
1505 PETSC_EXTERN PetscErrorCode MatISGetMPIXAIJ(Mat,MatReuse,Mat*);
1506 
1507 /*S
1508      MatNullSpace - Object that removes a null space from a vector, i.e.
1509          orthogonalizes the vector to a subsapce
1510 
1511    Level: advanced
1512 
1513   Concepts: matrix; linear operator, null space
1514 
1515   Users manual sections:
1516 .   sec_singular
1517 
1518 .seealso:  MatNullSpaceCreate()
1519 S*/
1520 typedef struct _p_MatNullSpace* MatNullSpace;
1521 
1522 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm,PetscBool ,PetscInt,const Vec[],MatNullSpace*);
1523 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace,PetscErrorCode (*)(MatNullSpace,Vec,void*),void*);
1524 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace*);
1525 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace,Vec);
1526 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
1527 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat,MatNullSpace);
1528 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat,MatNullSpace);
1529 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat,MatNullSpace*);
1530 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace,Mat,PetscBool  *);
1531 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace,PetscViewer);
1532 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace,PetscBool*,PetscInt*,const Vec**);
1533 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec,MatNullSpace*);
1534 
1535 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat,IS);
1536 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1537 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat,PetscInt *);
1538 PETSC_EXTERN PetscErrorCode MatSeqBAIJInvertBlockDiagonal(Mat);
1539 
1540 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat,PetscInt,Mat*);
1541 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat,PetscInt,Mat*);
1542 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat,Mat*);
1543 
1544 PETSC_EXTERN PetscErrorCode MatComputeExplicitOperator(Mat,Mat*);
1545 
1546 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat,Vec);
1547 
1548 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
1549 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat,Vec,Vec);
1550 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat,PetscErrorCode(*)(void*,Vec,Vec),void*);
1551 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat,PetscErrorCode (*)(void*,PetscInt,Vec,PetscScalar*));
1552 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat,PetscErrorCode (*)(void*,Vec));
1553 PETSC_EXTERN PetscErrorCode MatMFFDAddNullSpace(Mat,MatNullSpace);
1554 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat,PetscScalar[],PetscInt);
1555 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
1556 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat,PetscReal);
1557 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat,PetscInt);
1558 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat,PetscScalar *);
1559 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat,const char[]);
1560 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void*,Vec,Vec,PetscScalar*);
1561 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat,PetscErrorCode (*)(void*,Vec,Vec,PetscScalar*),void*);
1562 
1563 /*S
1564     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
1565               Jacobian vector products
1566 
1567     Notes: MATMFFD is a specific MatType which uses the MatMFFD data structure
1568 
1569            MatMFFD*() methods actually take the Mat as their first argument. Not a MatMFFD data structure
1570 
1571     Level: developer
1572 
1573 .seealso: MATMFFD, MatCreateMFFD(), MatMFFDSetFuction(), MatMFFDSetType(), MatMFFDRegister()
1574 S*/
1575 typedef struct _p_MatMFFD* MatMFFD;
1576 
1577 /*J
1578     MatMFFDType - algorithm used to compute the h used in computing matrix-vector products via differencing of the function
1579 
1580    Level: beginner
1581 
1582 .seealso: MatMFFDSetType(), MatMFFDRegister()
1583 J*/
1584 typedef const char* MatMFFDType;
1585 #define MATMFFD_DS  "ds"
1586 #define MATMFFD_WP  "wp"
1587 
1588 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat,MatMFFDType);
1589 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[],PetscErrorCode (*)(MatMFFD));
1590 
1591 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat,PetscReal);
1592 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat,PetscBool );
1593 
1594 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
1595 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
1596 
1597 /*
1598    PETSc interface to MUMPS
1599 */
1600 #ifdef PETSC_HAVE_MUMPS
1601 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat,PetscInt,PetscInt);
1602 PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat,PetscInt,PetscInt*);
1603 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat,PetscInt,PetscReal);
1604 PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat,PetscInt,PetscReal*);
1605 
1606 PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat,PetscInt,PetscInt*);
1607 PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat,PetscInt,PetscInt*);
1608 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat,PetscInt,PetscReal*);
1609 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat,PetscInt,PetscReal*);
1610 #endif
1611 
1612 /*
1613    PETSc interface to Mkl_Pardiso
1614 */
1615 #ifdef PETSC_HAVE_MKL_PARDISO
1616 PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat,PetscInt,PetscInt);
1617 #endif
1618 
1619 /*
1620    PETSc interface to Mkl_CPardiso
1621 */
1622 #ifdef PETSC_HAVE_MKL_CPARDISO
1623 PETSC_EXTERN PetscErrorCode MatMkl_CPardisoSetCntl(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/petsc/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/petsc/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/petsc/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 /*
1740    PETSc interface to ELEMENTAL
1741 */
1742 #if defined(PETSC_HAVE_ELEMENTAL)
1743 #if defined(PETSC_USE_COMPLEX)
1744 typedef El::Complex<PetscReal> PetscElemScalar;
1745 #else
1746 typedef PetscScalar PetscElemScalar;
1747 #endif
1748 PETSC_EXTERN PetscErrorCode PetscElementalInitializePackage(void);
1749 PETSC_EXTERN PetscErrorCode PetscElementalFinalizePackage(void);
1750 #endif
1751 
1752 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm,PetscInt,const IS[],PetscInt,const IS[],const Mat[],Mat*);
1753 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat,PetscInt*,PetscInt*);
1754 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat,IS[],IS[]);
1755 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat,IS[],IS[]);
1756 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat,PetscInt*,PetscInt*,Mat***);
1757 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat,PetscInt,PetscInt,Mat*);
1758 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat,VecType);
1759 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat,PetscInt,const IS[],PetscInt,const IS[],const Mat[]);
1760 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat,PetscInt,PetscInt,Mat);
1761 
1762 PETSC_EXTERN PetscErrorCode MatChop(Mat,PetscReal);
1763 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat,PetscReal,PetscInt*);
1764 
1765 #endif
1766