xref: /petsc/include/petscmat.h (revision b2bbaf76f4dd33c9042d329b49dbc66b9ef10f10)
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 MatCreateSubMatrix(Mat,IS,IS,Mat*);
251 PETSC_EXTERN PetscErrorCode MatSubMatrixUpdate(Mat,Mat,IS,IS);
252 PETSC_EXTERN PetscErrorCode MatCreateLocalRef(Mat,IS,IS,Mat*);
253 
254 PETSC_EXTERN PetscErrorCode MatPythonSetType(Mat,const char[]);
255 
256 PETSC_EXTERN PetscErrorCode MatSetUp(Mat);
257 PETSC_EXTERN PetscErrorCode MatDestroy(Mat*);
258 PETSC_EXTERN PetscErrorCode MatGetNonzeroState(Mat,PetscObjectState*);
259 
260 PETSC_EXTERN PetscErrorCode MatConjugate(Mat);
261 PETSC_EXTERN PetscErrorCode MatRealPart(Mat);
262 PETSC_EXTERN PetscErrorCode MatImaginaryPart(Mat);
263 PETSC_EXTERN PetscErrorCode MatGetDiagonalBlock(Mat,Mat*);
264 PETSC_EXTERN PetscErrorCode MatGetTrace(Mat,PetscScalar*);
265 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonal(Mat,const PetscScalar **);
266 
267 /* ------------------------------------------------------------*/
268 PETSC_EXTERN PetscErrorCode MatSetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
269 PETSC_EXTERN PetscErrorCode MatSetValuesBlocked(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
270 PETSC_EXTERN PetscErrorCode MatSetValuesRow(Mat,PetscInt,const PetscScalar[]);
271 PETSC_EXTERN PetscErrorCode MatSetValuesRowLocal(Mat,PetscInt,const PetscScalar[]);
272 PETSC_EXTERN PetscErrorCode MatSetValuesBatch(Mat,PetscInt,PetscInt,PetscInt[],const PetscScalar[]);
273 PETSC_EXTERN PetscErrorCode MatSetRandom(Mat,PetscRandom);
274 
275 /*S
276      MatStencil - Data structure (C struct) for storing information about a single row or
277         column of a matrix as indexed on an associated grid.
278 
279    Fortran usage is different, see MatSetValuesStencil() for details.
280 
281    Level: beginner
282 
283   Concepts: matrix; linear operator
284 
285 .seealso:  MatSetValuesStencil(), MatSetStencil(), MatSetValuesBlockedStencil()
286 S*/
287 typedef struct {
288   PetscInt k,j,i,c;
289 } MatStencil;
290 
291 PETSC_EXTERN PetscErrorCode MatSetValuesStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
292 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
293 PETSC_EXTERN PetscErrorCode MatSetStencil(Mat,PetscInt,const PetscInt[],const PetscInt[],PetscInt);
294 
295 PETSC_EXTERN PetscErrorCode MatSetColoring(Mat,ISColoring);
296 PETSC_EXTERN PetscErrorCode MatSetValuesAdifor(Mat,PetscInt,void*);
297 
298 /*E
299     MatAssemblyType - Indicates if the matrix is now to be used, or if you plan
300      to continue to add values to it
301 
302     Level: beginner
303 
304 .seealso: MatAssemblyBegin(), MatAssemblyEnd()
305 E*/
306 typedef enum {MAT_FLUSH_ASSEMBLY=1,MAT_FINAL_ASSEMBLY=0} MatAssemblyType;
307 PETSC_EXTERN PetscErrorCode MatAssemblyBegin(Mat,MatAssemblyType);
308 PETSC_EXTERN PetscErrorCode MatAssemblyEnd(Mat,MatAssemblyType);
309 PETSC_EXTERN PetscErrorCode MatAssembled(Mat,PetscBool *);
310 
311 
312 
313 /*E
314     MatOption - Options that may be set for a matrix and its behavior or storage
315 
316     Level: beginner
317 
318    Any additions/changes here MUST also be made in include/petsc-finclude/petscmat.h
319 
320    Developer Notes: Entries that are negative need not be called collectively by all processes.
321 
322 .seealso: MatSetOption()
323 E*/
324 typedef enum {MAT_OPTION_MIN = -5,
325               MAT_NEW_NONZERO_LOCATION_ERR = -4,
326               MAT_UNUSED_NONZERO_LOCATION_ERR = -3,
327               MAT_NEW_NONZERO_ALLOCATION_ERR = -2,
328               MAT_ROW_ORIENTED = -1,
329               MAT_SYMMETRIC = 1,
330               MAT_STRUCTURALLY_SYMMETRIC = 2,
331               MAT_NEW_DIAGONALS = 3,
332               MAT_IGNORE_OFF_PROC_ENTRIES = 4,
333               MAT_USE_HASH_TABLE = 5,
334               MAT_KEEP_NONZERO_PATTERN = 6,
335               MAT_IGNORE_ZERO_ENTRIES = 7,
336               MAT_USE_INODES = 8,
337               MAT_HERMITIAN = 9,
338               MAT_SYMMETRY_ETERNAL = 10,
339               MAT_DUMMY = 11,
340               MAT_IGNORE_LOWER_TRIANGULAR = 12,
341               MAT_ERROR_LOWER_TRIANGULAR = 13,
342               MAT_GETROW_UPPERTRIANGULAR = 14,
343               MAT_SPD = 15,
344               MAT_NO_OFF_PROC_ZERO_ROWS = 16,
345               MAT_NO_OFF_PROC_ENTRIES = 17,
346               MAT_NEW_NONZERO_LOCATIONS = 18,
347               MAT_OPTION_MAX = 19} MatOption;
348 
349 PETSC_EXTERN const char *MatOptions[];
350 PETSC_EXTERN PetscErrorCode MatSetOption(Mat,MatOption,PetscBool );
351 PETSC_EXTERN PetscErrorCode MatGetType(Mat,MatType*);
352 
353 PETSC_EXTERN PetscErrorCode MatGetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar[]);
354 PETSC_EXTERN PetscErrorCode MatGetRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
355 PETSC_EXTERN PetscErrorCode MatRestoreRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
356 PETSC_EXTERN PetscErrorCode MatGetRowUpperTriangular(Mat);
357 PETSC_EXTERN PetscErrorCode MatRestoreRowUpperTriangular(Mat);
358 PETSC_EXTERN PetscErrorCode MatGetColumn(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
359 PETSC_EXTERN PetscErrorCode MatRestoreColumn(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
360 PETSC_EXTERN PetscErrorCode MatGetColumnVector(Mat,Vec,PetscInt);
361 PETSC_EXTERN PetscErrorCode MatSeqAIJGetArray(Mat,PetscScalar *[]);
362 PETSC_EXTERN PetscErrorCode MatSeqAIJRestoreArray(Mat,PetscScalar *[]);
363 PETSC_EXTERN PetscErrorCode MatSeqAIJGetMaxRowNonzeros(Mat,PetscInt*);
364 PETSC_EXTERN PetscErrorCode MatSeqAIJSetValuesLocalFast(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
365 PETSC_EXTERN PetscErrorCode MatDenseGetArray(Mat,PetscScalar *[]);
366 PETSC_EXTERN PetscErrorCode MatDenseRestoreArray(Mat,PetscScalar *[]);
367 PETSC_EXTERN PetscErrorCode MatGetBlockSize(Mat,PetscInt *);
368 PETSC_EXTERN PetscErrorCode MatSetBlockSize(Mat,PetscInt);
369 PETSC_EXTERN PetscErrorCode MatGetBlockSizes(Mat,PetscInt *,PetscInt *);
370 PETSC_EXTERN PetscErrorCode MatSetBlockSizes(Mat,PetscInt,PetscInt);
371 PETSC_EXTERN PetscErrorCode MatSetBlockSizesFromMats(Mat,Mat,Mat);
372 PETSC_EXTERN PetscErrorCode MatSetNThreads(Mat,PetscInt);
373 PETSC_EXTERN PetscErrorCode MatGetNThreads(Mat,PetscInt*);
374 
375 PETSC_EXTERN PetscErrorCode MatMult(Mat,Vec,Vec);
376 PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat,Vec,Vec);
377 PETSC_EXTERN PetscErrorCode MatMultAdd(Mat,Vec,Vec,Vec);
378 PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat,Vec,Vec);
379 PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat,Vec,Vec);
380 PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat,Mat,PetscReal,PetscBool *);
381 PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat,Mat,PetscReal,PetscBool *);
382 PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat,Vec,Vec,Vec);
383 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat,Vec,Vec,Vec);
384 PETSC_EXTERN PetscErrorCode MatMultConstrained(Mat,Vec,Vec);
385 PETSC_EXTERN PetscErrorCode MatMultTransposeConstrained(Mat,Vec,Vec);
386 PETSC_EXTERN PetscErrorCode MatMatSolve(Mat,Mat,Mat);
387 PETSC_EXTERN PetscErrorCode MatResidual(Mat,Vec,Vec,Vec);
388 
389 /*E
390     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
391   its numerical values copied over or just its nonzero structure.
392 
393     Level: beginner
394 
395    Any additions/changes here MUST also be made in include/petsc-finclude/petscmat.h
396 
397 $   MAT_SHARE_NONZERO_PATTERN - the i and j arrays in the new matrix will be shared with the original matrix
398 $                               this also triggers the MAT_DO_NOT_COPY_VALUES option. This is used when you
399 $                               have several matrices with the same nonzero pattern.
400 
401 .seealso: MatDuplicate()
402 E*/
403 typedef enum {MAT_DO_NOT_COPY_VALUES,MAT_COPY_VALUES,MAT_SHARE_NONZERO_PATTERN} MatDuplicateOption;
404 
405 PETSC_EXTERN PetscErrorCode MatConvert(Mat,MatType,MatReuse,Mat*);
406 PETSC_EXTERN PetscErrorCode MatDuplicate(Mat,MatDuplicateOption,Mat*);
407 
408 
409 PETSC_EXTERN PetscErrorCode MatCopy(Mat,Mat,MatStructure);
410 PETSC_EXTERN PetscErrorCode MatView(Mat,PetscViewer);
411 PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat,PetscReal,PetscBool *);
412 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat,PetscBool *);
413 PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat,PetscReal,PetscBool *);
414 PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat,PetscBool *,PetscBool *);
415 PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat,PetscBool *,PetscBool *);
416 PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat,PetscBool  *,PetscInt *);
417 PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);
418 
419 PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
420 PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
421 PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
422 PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
423 
424 /*S
425      MatInfo - Context of matrix information, used with MatGetInfo()
426 
427    In Fortran this is simply a double precision array of dimension MAT_INFO_SIZE
428 
429    Level: intermediate
430 
431   Concepts: matrix^nonzero information
432 
433 .seealso:  MatGetInfo(), MatInfoType
434 S*/
435 typedef struct {
436   PetscLogDouble block_size;                         /* block size */
437   PetscLogDouble nz_allocated,nz_used,nz_unneeded;   /* number of nonzeros */
438   PetscLogDouble memory;                             /* memory allocated */
439   PetscLogDouble assemblies;                         /* number of matrix assemblies called */
440   PetscLogDouble mallocs;                            /* number of mallocs during MatSetValues() */
441   PetscLogDouble fill_ratio_given,fill_ratio_needed; /* fill ratio for LU/ILU */
442   PetscLogDouble factor_mallocs;                     /* number of mallocs during factorization */
443 } MatInfo;
444 
445 /*E
446     MatInfoType - Indicates if you want information about the local part of the matrix,
447      the entire parallel matrix or the maximum over all the local parts.
448 
449     Level: beginner
450 
451    Any additions/changes here MUST also be made in include/petsc-finclude/petscmat.h
452 
453 .seealso: MatGetInfo(), MatInfo
454 E*/
455 typedef enum {MAT_LOCAL=1,MAT_GLOBAL_MAX=2,MAT_GLOBAL_SUM=3} MatInfoType;
456 PETSC_EXTERN PetscErrorCode MatGetInfo(Mat,MatInfoType,MatInfo*);
457 PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat,Vec);
458 PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat,Vec,PetscInt[]);
459 PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat,Vec,PetscInt[]);
460 PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat,Vec,PetscInt[]);
461 PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat,Vec,PetscInt[]);
462 PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat,Vec);
463 PETSC_EXTERN PetscErrorCode MatTranspose(Mat,MatReuse,Mat*);
464 PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat,MatReuse,Mat*);
465 PETSC_EXTERN PetscErrorCode MatPermute(Mat,IS,IS,Mat *);
466 PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat,Vec,Vec);
467 PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat,Vec,InsertMode);
468 PETSC_EXTERN PetscErrorCode MatEqual(Mat,Mat,PetscBool *);
469 PETSC_EXTERN PetscErrorCode MatMultEqual(Mat,Mat,PetscInt,PetscBool *);
470 PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat,Mat,PetscInt,PetscBool *);
471 PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat,Mat,PetscInt,PetscBool *);
472 PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat,Mat,PetscInt,PetscBool *);
473 
474 PETSC_EXTERN PetscErrorCode MatNorm(Mat,NormType,PetscReal *);
475 PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat,NormType,PetscReal *);
476 PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
477 PETSC_EXTERN PetscErrorCode MatZeroRows(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
478 PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat,IS,PetscScalar,Vec,Vec);
479 PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat,PetscInt,const MatStencil [],PetscScalar,Vec,Vec);
480 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat,PetscInt,const MatStencil[],PetscScalar,Vec,Vec);
481 PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
482 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat,IS,PetscScalar,Vec,Vec);
483 
484 PETSC_EXTERN PetscErrorCode MatGetSize(Mat,PetscInt*,PetscInt*);
485 PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat,PetscInt*,PetscInt*);
486 PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat,PetscInt*,PetscInt*);
487 PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat,const PetscInt**);
488 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat,PetscInt*,PetscInt*);
489 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat,const PetscInt**);
490 PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat,IS*,IS*);
491 
492 PETSC_EXTERN PetscErrorCode MatGetSubMatrices(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
493 PETSC_EXTERN PetscErrorCode MatGetSubMatricesParallel(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
494 PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt,Mat *[]);
495 PETSC_EXTERN PetscErrorCode MatGetSubMatrix(Mat,IS,IS,MatReuse,Mat *);
496 PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat,IS,IS,Mat*);
497 PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat,IS,IS,Mat*);
498 PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat,Mat*);
499 PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat*);
500 
501 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm,Mat,PetscInt,PetscInt,MatReuse,Mat*);
502 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm,Mat,PetscInt,PetscInt,Mat*);
503 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat,Mat);
504 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat,MatReuse,Mat*);
505 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat,MatReuse,IS*,IS*,Mat*);
506 PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat,Mat,MatReuse,IS*,IS*,Mat*);
507 PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *,const PetscInt *[]);
508 
509 PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat,PetscInt,IS[],PetscInt);
510 
511 PETSC_EXTERN PetscErrorCode MatMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
512 PETSC_EXTERN PetscErrorCode MatMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
513 PETSC_EXTERN PetscErrorCode MatMatMultNumeric(Mat,Mat,Mat);
514 
515 PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
516 PETSC_EXTERN PetscErrorCode MatMatMatMultSymbolic(Mat,Mat,Mat,PetscReal,Mat*);
517 PETSC_EXTERN PetscErrorCode MatMatMatMultNumeric(Mat,Mat,Mat,Mat);
518 
519 PETSC_EXTERN PetscErrorCode MatPtAP(Mat,Mat,MatReuse,PetscReal,Mat*);
520 PETSC_EXTERN PetscErrorCode MatPtAPSymbolic(Mat,Mat,PetscReal,Mat*);
521 PETSC_EXTERN PetscErrorCode MatPtAPNumeric(Mat,Mat,Mat);
522 PETSC_EXTERN PetscErrorCode MatRARt(Mat,Mat,MatReuse,PetscReal,Mat*);
523 PETSC_EXTERN PetscErrorCode MatRARtSymbolic(Mat,Mat,PetscReal,Mat*);
524 PETSC_EXTERN PetscErrorCode MatRARtNumeric(Mat,Mat,Mat);
525 
526 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
527 PETSC_EXTERN PetscErrorCode MatTransposetMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
528 PETSC_EXTERN PetscErrorCode MatTransposetMatMultNumeric(Mat,Mat,Mat);
529 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat,Mat,MatReuse,PetscReal,Mat*);
530 PETSC_EXTERN PetscErrorCode MatMatTransposeMultSymbolic(Mat,Mat,PetscReal,Mat*);
531 PETSC_EXTERN PetscErrorCode MatMatTransposeMultNumeric(Mat,Mat,Mat);
532 
533 PETSC_EXTERN PetscErrorCode MatAXPY(Mat,PetscScalar,Mat,MatStructure);
534 PETSC_EXTERN PetscErrorCode MatAYPX(Mat,PetscScalar,Mat,MatStructure);
535 
536 PETSC_EXTERN PetscErrorCode MatScale(Mat,PetscScalar);
537 PETSC_EXTERN PetscErrorCode MatShift(Mat,PetscScalar);
538 
539 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
540 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
541 PETSC_EXTERN PetscErrorCode MatGetLayouts(Mat,PetscLayout*,PetscLayout*);
542 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
543 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
544 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
545 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
546 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
547 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
548 
549 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat,PetscInt,PetscInt);
550 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat,PetscInt*,PetscInt*,PetscInt*,PetscInt*);
551 
552 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat,Vec,Vec);
553 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat,Vec,Vec,Vec);
554 PETSC_EXTERN PetscErrorCode MatRestrict(Mat,Vec,Vec);
555 PETSC_EXTERN PetscErrorCode MatCreateVecs(Mat,Vec*,Vec*);
556 PETSC_DEPRECATED("Use MatCreateVecs()") PETSC_STATIC_INLINE PetscErrorCode MatGetVecs(Mat mat,Vec *x,Vec *y) {return MatCreateVecs(mat,x,y);}
557 PETSC_EXTERN PetscErrorCode MatCreateRedundantMatrix(Mat,PetscInt,MPI_Comm,MatReuse,Mat*);
558 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat,MPI_Comm,MatReuse,Mat*);
559 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat,IS*);
560 PETSC_EXTERN PetscErrorCode MatFindOffBlockDiagonalEntries(Mat,IS*);
561 PETSC_EXTERN PetscErrorCode MatCreateMPIMatConcatenateSeqMat(MPI_Comm,Mat,PetscInt,MatReuse,Mat*);
562 
563 /*MC
564    MatSetValue - Set a single entry into a matrix.
565 
566    Not collective
567 
568    Synopsis:
569      #include <petscmat.h>
570      PetscErrorCode MatSetValue(Mat m,PetscInt row,PetscInt col,PetscScalar value,InsertMode mode)
571 
572    Input Parameters:
573 +  m - the matrix
574 .  row - the row location of the entry
575 .  col - the column location of the entry
576 .  value - the value to insert
577 -  mode - either INSERT_VALUES or ADD_VALUES
578 
579    Notes:
580    For efficiency one should use MatSetValues() and set several or many
581    values simultaneously if possible.
582 
583    Level: beginner
584 
585 .seealso: MatSetValues(), MatSetValueLocal()
586 M*/
587 PETSC_STATIC_INLINE PetscErrorCode MatSetValue(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValues(v,1,&i,1,&j,&va,mode);}
588 
589 PETSC_STATIC_INLINE PetscErrorCode MatGetValue(Mat v,PetscInt i,PetscInt j,PetscScalar *va) {return MatGetValues(v,1,&i,1,&j,va);}
590 
591 PETSC_STATIC_INLINE PetscErrorCode MatSetValueLocal(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValuesLocal(v,1,&i,1,&j,&va,mode);}
592 
593 /*MC
594    MatPreallocateInitialize - Begins the block of code that will count the number of nonzeros per
595        row in a matrix providing the data that one can use to correctly preallocate the matrix.
596 
597    Synopsis:
598    #include <petscmat.h>
599    PetscErrorCode MatPreallocateInitialize(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
600 
601    Collective on MPI_Comm
602 
603    Input Parameters:
604 +  comm - the communicator that will share the eventually allocated matrix
605 .  nrows - the number of LOCAL rows in the matrix
606 -  ncols - the number of LOCAL columns in the matrix
607 
608    Output Parameters:
609 +  dnz - the array that will be passed to the matrix preallocation routines
610 -  ozn - the other array passed to the matrix preallocation routines
611 
612    Level: intermediate
613 
614    Notes:
615     See Users-Manual: ch_performance for more details.
616 
617    Do not malloc or free dnz and onz, that is handled internally by these routines
618 
619    Use MatPreallocateInitializeSymmetric() for symmetric matrices (MPISBAIJ matrices)
620 
621    This is a MACRO not a function because it has a leading { that is closed by PetscPreallocateFinalize().
622 
623   Concepts: preallocation^Matrix
624 
625 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
626           MatPreallocateInitializeSymmetric(), MatPreallocateSymmetricSetLocalBlock()
627 M*/
628 #define MatPreallocateInitialize(comm,nrows,ncols,dnz,onz) 0; \
629 { \
630   PetscErrorCode _4_ierr; PetscInt __nrows = (nrows),__ctmp = (ncols),__rstart,__start,__end; \
631   _4_ierr = PetscCalloc2(__nrows,&dnz,__nrows,&onz);CHKERRQ(_4_ierr); \
632   __start = 0; __end = __start;                                         \
633   _4_ierr = MPI_Scan(&__ctmp,&__end,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __start = __end - __ctmp;\
634   _4_ierr = MPI_Scan(&__nrows,&__rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __nrows;
635 
636 /*MC
637    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
638        inserted using a local number of the rows and columns
639 
640    Synopsis:
641    #include <petscmat.h>
642    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
643 
644    Not Collective
645 
646    Input Parameters:
647 +  map - the row mapping from local numbering to global numbering
648 .  nrows - the number of rows indicated
649 .  rows - the indices of the rows
650 .  cmap - the column mapping from local to global numbering
651 .  ncols - the number of columns in the matrix
652 .  cols - the columns indicated
653 .  dnz - the array that will be passed to the matrix preallocation routines
654 -  ozn - the other array passed to the matrix preallocation routines
655 
656    Level: intermediate
657 
658    Notes:
659     See Users-Manual: ch_performance for more details.
660 
661    Do not malloc or free dnz and onz, that is handled internally by these routines
662 
663   Concepts: preallocation^Matrix
664 
665 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
666           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock()
667 M*/
668 #define MatPreallocateSetLocal(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
669 {\
670   PetscInt __l;\
671   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
672   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
673   for (__l=0;__l<nrows;__l++) {\
674     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
675   }\
676 }
677 
678 /*MC
679    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
680        inserted using a local number of the rows and columns
681 
682    Synopsis:
683    #include <petscmat.h>
684    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
685 
686    Not Collective
687 
688    Input Parameters:
689 +  map - the row mapping from local numbering to global numbering
690 .  nrows - the number of rows indicated
691 .  rows - the indices of the rows
692 .  cmap - the column mapping from local to global numbering
693 .  ncols - the number of columns in the matrix
694 .  cols - the columns indicated
695 .  dnz - the array that will be passed to the matrix preallocation routines
696 -  ozn - the other array passed to the matrix preallocation routines
697 
698    Level: intermediate
699 
700    Notes:
701     See Users-Manual: ch_performance for more details.
702 
703    Do not malloc or free dnz and onz, that is handled internally by these routines
704 
705   Concepts: preallocation^Matrix
706 
707 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
708           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock()
709 M*/
710 #define MatPreallocateSetLocalBlock(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
711 {\
712   PetscInt __l;\
713   _4_ierr = ISLocalToGlobalMappingApplyBlock(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
714   _4_ierr = ISLocalToGlobalMappingApplyBlock(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
715   for (__l=0;__l<nrows;__l++) {\
716     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
717   }\
718 }
719 
720 /*MC
721    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
722        inserted using a local number of the rows and columns
723 
724    Synopsis:
725    #include <petscmat.h>
726    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
727 
728    Not Collective
729 
730    Input Parameters:
731 +  map - the mapping between local numbering and global numbering
732 .  nrows - the number of rows indicated
733 .  rows - the indices of the rows
734 .  ncols - the number of columns in the matrix
735 .  cols - the columns indicated
736 .  dnz - the array that will be passed to the matrix preallocation routines
737 -  ozn - the other array passed to the matrix preallocation routines
738 
739    Level: intermediate
740 
741    Notes:
742     See Users-Manual: ch_performance for more details.
743 
744    Do not malloc or free dnz and onz that is handled internally by these routines
745 
746   Concepts: preallocation^Matrix
747 
748 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateInitialize(),
749           MatPreallocateInitialize(),  MatPreallocateSetLocal()
750 M*/
751 #define MatPreallocateSymmetricSetLocalBlock(map,nrows,rows,ncols,cols,dnz,onz) 0;\
752 {\
753   PetscInt __l;\
754   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
755   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
756   for (__l=0;__l<nrows;__l++) {\
757     _4_ierr = MatPreallocateSymmetricSetBlock((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
758   }\
759 }
760 /*MC
761    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
762        inserted using a local number of the rows and columns
763 
764    Synopsis:
765    #include <petscmat.h>
766    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
767 
768    Not Collective
769 
770    Input Parameters:
771 +  row - the row
772 .  ncols - the number of columns in the matrix
773 -  cols - the columns indicated
774 
775    Output Parameters:
776 +  dnz - the array that will be passed to the matrix preallocation routines
777 -  ozn - the other array passed to the matrix preallocation routines
778 
779    Level: intermediate
780 
781    Notes:
782     See Users-Manual: ch_performance for more details.
783 
784    Do not malloc or free dnz and onz that is handled internally by these routines
785 
786    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
787 
788   Concepts: preallocation^Matrix
789 
790 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
791           MatPreallocateInitialize(), MatPreallocateSetLocal()
792 M*/
793 #define MatPreallocateSet(row,nc,cols,dnz,onz) 0;\
794 { PetscInt __i; \
795   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);\
796   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);\
797   for (__i=0; __i<nc; __i++) {\
798     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
799     else dnz[row - __rstart]++;\
800   }\
801 }
802 
803 /*MC
804    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
805        inserted using a local number of the rows and columns
806 
807    Synopsis:
808    #include <petscmat.h>
809    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
810 
811    Not Collective
812 
813    Input Parameters:
814 +  nrows - the number of rows indicated
815 .  rows - the indices of the rows
816 .  ncols - the number of columns in the matrix
817 .  cols - the columns indicated
818 .  dnz - the array that will be passed to the matrix preallocation routines
819 -  ozn - the other array passed to the matrix preallocation routines
820 
821    Level: intermediate
822 
823    Notes:
824     See Users-Manual: ch_performance for more details.
825 
826    Do not malloc or free dnz and onz that is handled internally by these routines
827 
828    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
829 
830   Concepts: preallocation^Matrix
831 
832 .seealso: MatPreallocateFinalize(), MatPreallocateSet(),  MatPreallocateInitialize(),
833           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
834 M*/
835 #define MatPreallocateSymmetricSetBlock(row,nc,cols,dnz,onz) 0;\
836 { PetscInt __i; \
837   for (__i=0; __i<nc; __i++) {\
838     if (cols[__i] >= __end) onz[row - __rstart]++; \
839     else if (cols[__i] >= row) dnz[row - __rstart]++;\
840   }\
841 }
842 
843 /*MC
844    MatPreallocateLocation -  An alternative to MatPreallocationSet() that puts the nonzero locations into the matrix if it exists
845 
846    Synopsis:
847    #include <petscmat.h>
848    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
849 
850    Not Collective
851 
852    Input Parameters:
853 .  A - matrix
854 .  row - row where values exist (must be local to this process)
855 .  ncols - number of columns
856 .  cols - columns with nonzeros
857 .  dnz - the array that will be passed to the matrix preallocation routines
858 -  ozn - the other array passed to the matrix preallocation routines
859 
860    Level: intermediate
861 
862    Notes:
863     See Users-Manual: ch_performance for more details.
864 
865    Do not malloc or free dnz and onz that is handled internally by these routines
866 
867    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
868 
869   Concepts: preallocation^Matrix
870 
871 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
872           MatPreallocateSymmetricSetLocalBlock()
873 M*/
874 #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);}
875 
876 
877 /*MC
878    MatPreallocateFinalize - Ends the block of code that will count the number of nonzeros per
879        row in a matrix providing the data that one can use to correctly preallocate the matrix.
880 
881    Synopsis:
882    #include <petscmat.h>
883    PetscErrorCode MatPreallocateFinalize(PetscInt *dnz, PetscInt *onz)
884 
885    Collective on MPI_Comm
886 
887    Input Parameters:
888 +  dnz - the array that was be passed to the matrix preallocation routines
889 -  ozn - the other array passed to the matrix preallocation routines
890 
891    Level: intermediate
892 
893    Notes:
894     See Users-Manual: ch_performance for more details.
895 
896    Do not malloc or free dnz and onz that is handled internally by these routines
897 
898    This is a MACRO not a function because it closes the { started in MatPreallocateInitialize().
899 
900   Concepts: preallocation^Matrix
901 
902 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
903           MatPreallocateSymmetricSetLocalBlock()
904 M*/
905 #define MatPreallocateFinalize(dnz,onz) 0;_4_ierr = PetscFree2(dnz,onz);CHKERRQ(_4_ierr);}
906 
907 /* Routines unique to particular data structures */
908 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat,void *);
909 
910 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat,IS*,IS*);
911 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat,PetscInt *,PetscInt *[],PetscInt *);
912 
913 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat,PetscInt[]);
914 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat,PetscInt[]);
915 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
916 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
917 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
918 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*,PetscInt,PetscBool);
919 
920 #define MAT_SKIP_ALLOCATION -4
921 
922 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
923 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
924 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat,PetscInt,const PetscInt[]);
925 
926 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
927 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
928 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
929 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat,const PetscInt [],const PetscInt [],const PetscScalar []);
930 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
931 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]);
932 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
933 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat,PetscInt[],PetscInt[],PetscInt[]);
934 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
935 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
936 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
937 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
938 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat,Mat*);
939 
940 PETSC_EXTERN PetscErrorCode MatISSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
941 PETSC_EXTERN PetscErrorCode MatSeqDenseSetLDA(Mat,PetscInt);
942 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat,Mat*);
943 
944 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
945 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
946 
947 PETSC_EXTERN PetscErrorCode MatDAADSetCtx(Mat,void*);
948 
949 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat,IS*);
950 /*
951   These routines are not usually accessed directly, rather solving is
952   done through the KSP and PC interfaces.
953 */
954 
955 /*J
956     MatOrderingType - String with the name of a PETSc matrix ordering
957 
958    Level: beginner
959 
960 .seealso: MatGetOrdering()
961 J*/
962 typedef const char* MatOrderingType;
963 #define MATORDERINGNATURAL     "natural"
964 #define MATORDERINGND          "nd"
965 #define MATORDERING1WD         "1wd"
966 #define MATORDERINGRCM         "rcm"
967 #define MATORDERINGQMD         "qmd"
968 #define MATORDERINGROWLENGTH   "rowlength"
969 #define MATORDERINGWBM         "wbm"
970 #define MATORDERINGSPECTRAL    "spectral"
971 #define MATORDERINGAMD         "amd"            /* only works if UMFPACK is installed with PETSc */
972 
973 PETSC_EXTERN PetscErrorCode MatGetOrdering(Mat,MatOrderingType,IS*,IS*);
974 PETSC_EXTERN PetscErrorCode MatGetOrderingList(PetscFunctionList*);
975 PETSC_EXTERN PetscErrorCode MatOrderingRegister(const char[],PetscErrorCode(*)(Mat,MatOrderingType,IS*,IS*));
976 PETSC_EXTERN PetscFunctionList MatOrderingList;
977 
978 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
979 PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat,PetscReal,PetscBool,Mat*);
980 
981 /*S
982     MatFactorShiftType - Numeric Shift.
983 
984    Level: beginner
985 
986 S*/
987 typedef enum {MAT_SHIFT_NONE,MAT_SHIFT_NONZERO,MAT_SHIFT_POSITIVE_DEFINITE,MAT_SHIFT_INBLOCKS} MatFactorShiftType;
988 PETSC_EXTERN const char *const MatFactorShiftTypes[];
989 PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];
990 
991 /*S
992    MatFactorInfo - Data passed into the matrix factorization routines
993 
994    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE, that is use
995 $     MatFactorInfo  info(MAT_FACTORINFO_SIZE)
996 
997    Notes: These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
998 
999       You can use MatFactorInfoInitialize() to set default values.
1000 
1001    Level: developer
1002 
1003 .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor(),
1004           MatFactorInfoInitialize()
1005 
1006 S*/
1007 typedef struct {
1008   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
1009   PetscReal     usedt;
1010   PetscReal     dt;             /* drop tolerance */
1011   PetscReal     dtcol;          /* tolerance for pivoting */
1012   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
1013   PetscReal     fill;           /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1014   PetscReal     levels;         /* ICC/ILU(levels) */
1015   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1016                                    factorization may be faster if do not pivot */
1017   PetscReal     zeropivot;      /* pivot is called zero if less than this */
1018   PetscReal     shifttype;      /* type of shift added to matrix factor to prevent zero pivots */
1019   PetscReal     shiftamount;     /* how large the shift is */
1020 } MatFactorInfo;
1021 
1022 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo*);
1023 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat,IS,const MatFactorInfo*);
1024 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1025 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat,Mat,const MatFactorInfo*);
1026 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat,IS,IS,const MatFactorInfo*);
1027 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat,IS,IS,const MatFactorInfo*);
1028 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1029 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1030 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1031 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat,IS,const MatFactorInfo*);
1032 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat,Mat,const MatFactorInfo*);
1033 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat,PetscInt*,PetscInt*,PetscInt*);
1034 PETSC_EXTERN PetscErrorCode MatSolve(Mat,Vec,Vec);
1035 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat,Vec,Vec);
1036 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat,Vec,Vec);
1037 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat,Vec,Vec,Vec);
1038 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat,Vec,Vec);
1039 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
1040 PETSC_EXTERN PetscErrorCode MatSolves(Mat,Vecs,Vecs);
1041 
1042 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
1043 
1044 /*E
1045     MatSORType - What type of (S)SOR to perform
1046 
1047     Level: beginner
1048 
1049    May be bitwise ORd together
1050 
1051    Any additions/changes here MUST also be made in include/petsc-finclude/petscmat.h
1052 
1053    MatSORType may be bitwise ORd together, so do not change the numbers
1054 
1055 .seealso: MatSOR()
1056 E*/
1057 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
1058               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
1059               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
1060               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
1061 PETSC_EXTERN PetscErrorCode MatSOR(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
1062 
1063 /*
1064     These routines are for efficiently computing Jacobians via finite differences.
1065 */
1066 
1067 /*S
1068      MatColoring - Object for managing the coloring of matrices.
1069 
1070    Level: beginner
1071 
1072   Concepts: matrix, coloring
1073 
1074 .seealso:  MatFDColoringCreate() ISColoring MatFDColoring
1075 S*/
1076 typedef struct _p_MatColoring* MatColoring;
1077 /*J
1078     MatColoringType - String with the name of a PETSc matrix coloring
1079 
1080    Level: beginner
1081 
1082 .seealso: MatColoringSetType(), MatColoring
1083 J*/
1084 
1085 typedef const  char*           MatColoringType;
1086 #define MATCOLORINGJP      "jp"
1087 #define MATCOLORINGPOWER   "power"
1088 #define MATCOLORINGNATURAL "natural"
1089 #define MATCOLORINGSL      "sl"
1090 #define MATCOLORINGLF      "lf"
1091 #define MATCOLORINGID      "id"
1092 #define MATCOLORINGGREEDY  "greedy"
1093 
1094 /*E
1095    MatColoringWeightType - Type of weight scheme
1096 
1097     Not Collective
1098 
1099 +   MAT_COLORING_RANDOM  - Random weights
1100 .   MAT_COLORING_LEXICAL - Lexical weighting based upon global numbering.
1101 -   MAT_COLORING_LF      - Last-first weighting.
1102 
1103     Level: intermediate
1104 
1105    Any additions/changes here MUST also be made in include/petsc-finclude/petscmat.h
1106 
1107 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1108 E*/
1109 typedef enum {MAT_COLORING_WEIGHT_RANDOM,MAT_COLORING_WEIGHT_LEXICAL,MAT_COLORING_WEIGHT_LF,MAT_COLORING_WEIGHT_SL} MatColoringWeightType;
1110 
1111 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat,MatColoring*);
1112 PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat,PetscInt,PetscInt*);
1113 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring*);
1114 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring,PetscViewer);
1115 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring,MatColoringType);
1116 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1117 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring,PetscInt);
1118 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring,PetscInt*);
1119 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring,PetscInt);
1120 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring,PetscInt*);
1121 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring,ISColoring*);
1122 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[],PetscErrorCode(*)(MatColoring));
1123 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat,PetscInt,PetscInt,ISColoringValue[],ISColoring*);
1124 PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring,MatColoringWeightType);
1125 PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring,PetscReal*,PetscInt*);
1126 PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring,PetscReal **,PetscInt **lperm);
1127 
1128 /*S
1129      MatFDColoring - Object for computing a sparse Jacobian via finite differences
1130         and coloring
1131 
1132    Level: beginner
1133 
1134   Concepts: coloring, sparse Jacobian, finite differences
1135 
1136 .seealso:  MatFDColoringCreate()
1137 S*/
1138 typedef struct _p_MatFDColoring* MatFDColoring;
1139 
1140 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
1141 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring*);
1142 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring,PetscViewer);
1143 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring,PetscErrorCode (*)(void),void*);
1144 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring,PetscErrorCode (**)(void),void**);
1145 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
1146 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1147 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat,MatFDColoring,Vec,void *);
1148 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring,Vec);
1149 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring,PetscInt*,PetscInt*[]);
1150 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat,ISColoring,MatFDColoring);
1151 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring,PetscInt,PetscInt);
1152 
1153 
1154 /*S
1155      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring
1156 
1157    Level: beginner
1158 
1159   Concepts: coloring, sparse matrix product
1160 
1161 .seealso:  MatTransposeColoringCreate()
1162 S*/
1163 typedef struct _p_MatTransposeColoring* MatTransposeColoring;
1164 
1165 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat,ISColoring,MatTransposeColoring *);
1166 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring,Mat,Mat);
1167 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring,Mat,Mat);
1168 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring*);
1169 
1170 /*
1171     These routines are for partitioning matrices: currently used only
1172   for adjacency matrix, MatCreateMPIAdj().
1173 */
1174 
1175 /*S
1176      MatPartitioning - Object for managing the partitioning of a matrix or graph
1177 
1178    Level: beginner
1179 
1180   Concepts: partitioning
1181 
1182 .seealso:  MatPartitioningCreate(), MatPartitioningType
1183 S*/
1184 typedef struct _p_MatPartitioning* MatPartitioning;
1185 
1186 /*J
1187     MatPartitioningType - String with the name of a PETSc matrix partitioning
1188 
1189    Level: beginner
1190 dm
1191 .seealso: MatPartitioningCreate(), MatPartitioning
1192 J*/
1193 typedef const char* MatPartitioningType;
1194 #define MATPARTITIONINGCURRENT  "current"
1195 #define MATPARTITIONINGSQUARE   "square"
1196 #define MATPARTITIONINGPARMETIS "parmetis"
1197 #define MATPARTITIONINGCHACO    "chaco"
1198 #define MATPARTITIONINGPARTY    "party"
1199 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1200 
1201 
1202 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1203 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning,MatPartitioningType);
1204 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning,PetscInt);
1205 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning,Mat);
1206 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning,const PetscInt[]);
1207 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1208 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning,IS*);
1209 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning*);
1210 
1211 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[],PetscErrorCode (*)(MatPartitioning));
1212 
1213 
1214 
1215 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning,PetscViewer);
1216 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1217 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
1218 
1219 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1220 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1221 
1222 typedef enum { MP_CHACO_MULTILEVEL=1,MP_CHACO_SPECTRAL=2,MP_CHACO_LINEAR=4,MP_CHACO_RANDOM=5,MP_CHACO_SCATTERED=6 } MPChacoGlobalType;
1223 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1224 typedef enum { MP_CHACO_KERNIGHAN=1,MP_CHACO_NONE=2 } MPChacoLocalType;
1225 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1226 typedef enum { MP_CHACO_LANCZOS=0,MP_CHACO_RQI=1 } MPChacoEigenType;
1227 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1228 
1229 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning,MPChacoGlobalType);
1230 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning,MPChacoGlobalType*);
1231 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning,MPChacoLocalType);
1232 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning,MPChacoLocalType*);
1233 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning,PetscReal);
1234 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning,MPChacoEigenType);
1235 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning,MPChacoEigenType*);
1236 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning,PetscReal);
1237 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning,PetscReal*);
1238 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning,PetscInt);
1239 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning,PetscInt*);
1240 
1241 #define MP_PARTY_OPT "opt"
1242 #define MP_PARTY_LIN "lin"
1243 #define MP_PARTY_SCA "sca"
1244 #define MP_PARTY_RAN "ran"
1245 #define MP_PARTY_GBF "gbf"
1246 #define MP_PARTY_GCF "gcf"
1247 #define MP_PARTY_BUB "bub"
1248 #define MP_PARTY_DEF "def"
1249 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning,const char*);
1250 #define MP_PARTY_HELPFUL_SETS "hs"
1251 #define MP_PARTY_KERNIGHAN_LIN "kl"
1252 #define MP_PARTY_NONE "no"
1253 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning,const char*);
1254 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning,PetscReal);
1255 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning,PetscBool);
1256 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning,PetscBool);
1257 
1258 typedef enum { MP_PTSCOTCH_QUALITY,MP_PTSCOTCH_SPEED,MP_PTSCOTCH_BALANCE,MP_PTSCOTCH_SAFETY,MP_PTSCOTCH_SCALABILITY } MPPTScotchStrategyType;
1259 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1260 
1261 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning,PetscReal);
1262 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning,PetscReal*);
1263 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning,MPPTScotchStrategyType);
1264 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning,MPPTScotchStrategyType*);
1265 
1266 /*
1267     These routines are for coarsening matrices:
1268 */
1269 
1270 /*S
1271      MatCoarsen - Object for managing the coarsening of a graph (symmetric matrix)
1272 
1273    Level: beginner
1274 
1275   Concepts: coarsen
1276 
1277 .seealso:  MatCoarsenCreate), MatCoarsenType
1278 S*/
1279 typedef struct _p_MatCoarsen* MatCoarsen;
1280 
1281 /*J
1282     MatCoarsenType - String with the name of a PETSc matrix coarsen
1283 
1284    Level: beginner
1285 
1286 .seealso: MatCoarsenCreate(), MatCoarsen
1287 J*/
1288 typedef const char* MatCoarsenType;
1289 #define MATCOARSENMIS  "mis"
1290 #define MATCOARSENHEM  "hem"
1291 
1292 /* linked list for aggregates */
1293 typedef struct _PetscCDIntNd{
1294   struct _PetscCDIntNd *next;
1295   PetscInt             gid;
1296 }PetscCDIntNd;
1297 
1298 /* only used by node pool */
1299 typedef struct _PetscCDArrNd{
1300   struct _PetscCDArrNd *next;
1301   struct _PetscCDIntNd *array;
1302 }PetscCDArrNd;
1303 
1304 typedef struct _PetscCoarsenData{
1305   PetscCDArrNd pool_list;  /* node pool */
1306   PetscCDIntNd *new_node;
1307   PetscInt     new_left;
1308   PetscInt     chk_sz;
1309   PetscCDIntNd *extra_nodes;
1310   PetscCDIntNd **array;  /* Array of lists */
1311   PetscInt     size;
1312   Mat          mat;  /* cache a Mat for communication data */
1313 }PetscCoarsenData;
1314 
1315 PETSC_EXTERN PetscErrorCode MatCoarsenCreate(MPI_Comm,MatCoarsen*);
1316 PETSC_EXTERN PetscErrorCode MatCoarsenSetType(MatCoarsen,MatCoarsenType);
1317 PETSC_EXTERN PetscErrorCode MatCoarsenSetAdjacency(MatCoarsen,Mat);
1318 PETSC_EXTERN PetscErrorCode MatCoarsenSetGreedyOrdering(MatCoarsen,const IS);
1319 PETSC_EXTERN PetscErrorCode MatCoarsenSetStrictAggs(MatCoarsen,PetscBool);
1320 PETSC_EXTERN PetscErrorCode MatCoarsenSetVerbose(MatCoarsen,PetscInt);
1321 PETSC_EXTERN PetscErrorCode MatCoarsenGetData( MatCoarsen, PetscCoarsenData ** );
1322 PETSC_EXTERN PetscErrorCode MatCoarsenApply(MatCoarsen);
1323 PETSC_EXTERN PetscErrorCode MatCoarsenDestroy(MatCoarsen*);
1324 
1325 PETSC_EXTERN PetscErrorCode MatCoarsenRegister(const char[],PetscErrorCode (*)(MatCoarsen));
1326 
1327 
1328 
1329 PETSC_EXTERN PetscErrorCode MatCoarsenView(MatCoarsen,PetscViewer);
1330 PETSC_EXTERN PetscErrorCode MatCoarsenSetFromOptions(MatCoarsen);
1331 PETSC_EXTERN PetscErrorCode MatCoarsenGetType(MatCoarsen,MatCoarsenType*);
1332 PETSC_STATIC_INLINE PetscErrorCode MatCoarsenViewFromOptions(MatCoarsen A,const char prefix[],const char name[]) {return PetscObjectViewFromOptions((PetscObject)A,prefix,name);}
1333 
1334 PETSC_EXTERN PetscErrorCode MatMeshToVertexGraph(Mat,PetscInt,Mat*);
1335 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat,PetscInt,Mat*);
1336 
1337 /*
1338     If you add entries here you must also add them to petsc-finclude/petscmat.h
1339 */
1340 typedef enum { MATOP_SET_VALUES=0,
1341                MATOP_GET_ROW=1,
1342                MATOP_RESTORE_ROW=2,
1343                MATOP_MULT=3,
1344                MATOP_MULT_ADD=4,
1345                MATOP_MULT_TRANSPOSE=5,
1346                MATOP_MULT_TRANSPOSE_ADD=6,
1347                MATOP_SOLVE=7,
1348                MATOP_SOLVE_ADD=8,
1349                MATOP_SOLVE_TRANSPOSE=9,
1350                MATOP_SOLVE_TRANSPOSE_ADD=10,
1351                MATOP_LUFACTOR=11,
1352                MATOP_CHOLESKYFACTOR=12,
1353                MATOP_SOR=13,
1354                MATOP_TRANSPOSE=14,
1355                MATOP_GETINFO=15,
1356                MATOP_EQUAL=16,
1357                MATOP_GET_DIAGONAL=17,
1358                MATOP_DIAGONAL_SCALE=18,
1359                MATOP_NORM=19,
1360                MATOP_ASSEMBLY_BEGIN=20,
1361                MATOP_ASSEMBLY_END=21,
1362                MATOP_SET_OPTION=22,
1363                MATOP_ZERO_ENTRIES=23,
1364                MATOP_ZERO_ROWS=24,
1365                MATOP_LUFACTOR_SYMBOLIC=25,
1366                MATOP_LUFACTOR_NUMERIC=26,
1367                MATOP_CHOLESKY_FACTOR_SYMBOLIC=27,
1368                MATOP_CHOLESKY_FACTOR_NUMERIC=28,
1369                MATOP_SETUP_PREALLOCATION=29,
1370                MATOP_ILUFACTOR_SYMBOLIC=30,
1371                MATOP_ICCFACTOR_SYMBOLIC=31,
1372                /* MATOP_PLACEHOLDER_32=32, */
1373                /* MATOP_PLACEHOLDER_33=33, */
1374                MATOP_DUPLICATE=34,
1375                MATOP_FORWARD_SOLVE=35,
1376                MATOP_BACKWARD_SOLVE=36,
1377                MATOP_ILUFACTOR=37,
1378                MATOP_ICCFACTOR=38,
1379                MATOP_AXPY=39,
1380                MATOP_GET_SUBMATRICES=40,
1381                MATOP_INCREASE_OVERLAP=41,
1382                MATOP_GET_VALUES=42,
1383                MATOP_COPY=43,
1384                MATOP_GET_ROW_MAX=44,
1385                MATOP_SCALE=45,
1386                MATOP_SHIFT=46,
1387                MATOP_DIAGONAL_SET=47,
1388                MATOP_ZERO_ROWS_COLUMNS=48,
1389                MATOP_SET_RANDOM=49,
1390                MATOP_GET_ROW_IJ=50,
1391                MATOP_RESTORE_ROW_IJ=51,
1392                MATOP_GET_COLUMN_IJ=52,
1393                MATOP_RESTORE_COLUMN_IJ=53,
1394                MATOP_FDCOLORING_CREATE=54,
1395                MATOP_COLORING_PATCH=55,
1396                MATOP_SET_UNFACTORED=56,
1397                MATOP_PERMUTE=57,
1398                MATOP_SET_VALUES_BLOCKED=58,
1399                MATOP_GET_SUBMATRIX=59,
1400                MATOP_DESTROY=60,
1401                MATOP_VIEW=61,
1402                MATOP_CONVERT_FROM=62,
1403                MATOP_MATMAT_MULT=63,
1404                MATOP_MATMAT_MULT_SYMBOLIC=64,
1405                MATOP_MATMAT_MULT_NUMERIC=65,
1406                MATOP_SET_LOCAL_TO_GLOBAL_MAP=66,
1407                MATOP_SET_VALUES_LOCAL=67,
1408                MATOP_ZERO_ROWS_LOCAL=68,
1409                MATOP_GET_ROW_MAX_ABS=69,
1410                MATOP_GET_ROW_MIN_ABS=70,
1411                MATOP_CONVERT=71,
1412                MATOP_SET_COLORING=72,
1413                /* MATOP_PLACEHOLDER_73=73, */
1414                MATOP_SET_VALUES_ADIFOR=74,
1415                MATOP_FD_COLORING_APPLY=75,
1416                MATOP_SET_FROM_OPTIONS=76,
1417                MATOP_MULT_CONSTRAINED=77,
1418                MATOP_MULT_TRANSPOSE_CONSTRAIN=78,
1419                MATOP_FIND_ZERO_DIAGONALS=79,
1420                MATOP_MULT_MULTIPLE=80,
1421                MATOP_SOLVE_MULTIPLE=81,
1422                MATOP_GET_INERTIA=82,
1423                MATOP_LOAD=83,
1424                MATOP_IS_SYMMETRIC=84,
1425                MATOP_IS_HERMITIAN=85,
1426                MATOP_IS_STRUCTURALLY_SYMMETRIC=86,
1427                MATOP_SET_VALUES_BLOCKEDLOCAL=87,
1428                MATOP_GET_VECS=88,
1429                MATOP_MAT_MULT=89,
1430                MATOP_MAT_MULT_SYMBOLIC=90,
1431                MATOP_MAT_MULT_NUMERIC=91,
1432                MATOP_PTAP=92,
1433                MATOP_PTAP_SYMBOLIC=93,
1434                MATOP_PTAP_NUMERIC=94,
1435                MATOP_MAT_TRANSPOSE_MULT=95,
1436                MATOP_MAT_TRANSPOSE_MULT_SYMBO=96,
1437                MATOP_MAT_TRANSPOSE_MULT_NUMER=97,
1438                /* MATOP_PLACEHOLDER_98=98, */
1439                /* MATOP_PLACEHOLDER_99=99, */
1440                /* MATOP_PLACEHOLDER_100=100, */
1441                /* MATOP_PLACEHOLDER_101=101, */
1442                MATOP_CONJUGATE=102,
1443                /* MATOP_PLACEHOLDER_103=103, */
1444                MATOP_SET_VALUES_ROW=104,
1445                MATOP_REAL_PART=105,
1446                MATOP_IMAGINARY_PART=106,
1447                MATOP_GET_ROW_UPPER_TRIANGULAR=107,
1448                MATOP_RESTORE_ROW_UPPER_TRIANG=108,
1449                MATOP_MAT_SOLVE=109,
1450                MATOP_GET_REDUNDANT_MATRIX=110,
1451                MATOP_GET_ROW_MIN=111,
1452                MATOP_GET_COLUMN_VECTOR=112,
1453                MATOP_MISSING_DIAGONAL=113,
1454                MATOP_GET_SEQ_NONZERO_STRUCTUR=114,
1455                MATOP_CREATE=115,
1456                MATOP_GET_GHOSTS=116,
1457                MATOP_GET_LOCAL_SUB_MATRIX=117,
1458                MATOP_RESTORE_LOCALSUB_MATRIX=118,
1459                MATOP_MULT_DIAGONAL_BLOCK=119,
1460                MATOP_HERMITIAN_TRANSPOSE=120,
1461                MATOP_MULT_HERMITIAN_TRANSPOSE=121,
1462                MATOP_MULT_HERMITIAN_TRANS_ADD=122,
1463                MATOP_GET_MULTI_PROC_BLOCK=123,
1464                MATOP_FIND_NONZERO_ROWS=124,
1465                MATOP_GET_COLUMN_NORMS=125,
1466                MATOP_INVERT_BLOCK_DIAGONAL=126,
1467                /* MATOP_PLACEHOLDER_127=127, */
1468                MATOP_GET_SUB_MATRICES_PARALLE=128,
1469                MATOP_SET_VALUES_BATCH=129,
1470                MATOP_TRANSPOSE_MAT_MULT=130,
1471                MATOP_TRANSPOSE_MAT_MULT_SYMBO=131,
1472                MATOP_TRANSPOSE_MAT_MULT_NUMER=132,
1473                MATOP_TRANSPOSE_COLORING_CREAT=133,
1474                MATOP_TRANS_COLORING_APPLY_SPT=134,
1475                MATOP_TRANS_COLORING_APPLY_DEN=135,
1476                MATOP_RART=136,
1477                MATOP_RART_SYMBOLIC=137,
1478                MATOP_RART_NUMERIC=138,
1479                MATOP_SET_BLOCK_SIZES=139,
1480                MATOP_AYPX=140,
1481                MATOP_RESIDUAL=141,
1482                MATOP_FDCOLORING_SETUP=142,
1483                MATOP_MPICONCATENATESEQ=144
1484              } MatOperation;
1485 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat,MatOperation,PetscBool *);
1486 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat,MatOperation,void(*)(void));
1487 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat,MatOperation,void(**)(void));
1488 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat,void*);
1489 
1490 /*
1491    Codes for matrices stored on disk. By default they are
1492    stored in a universal format. By changing the format with
1493    PetscViewerSetFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
1494    be stored in a way natural for the matrix, for example dense matrices
1495    would be stored as dense. Matrices stored this way may only be
1496    read into matrices of the same type.
1497 */
1498 #define MATRIX_BINARY_FORMAT_DENSE -1
1499 
1500 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1501 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat,Mat*);
1502 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat,Mat);
1503 PETSC_EXTERN PetscErrorCode MatISGetMPIXAIJ(Mat,MatReuse,Mat*);
1504 
1505 /*S
1506      MatNullSpace - Object that removes a null space from a vector, i.e.
1507          orthogonalizes the vector to a subsapce
1508 
1509    Level: advanced
1510 
1511   Concepts: matrix; linear operator, null space
1512 
1513   Users manual sections:
1514 .   sec_singular
1515 
1516 .seealso:  MatNullSpaceCreate()
1517 S*/
1518 typedef struct _p_MatNullSpace* MatNullSpace;
1519 
1520 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm,PetscBool ,PetscInt,const Vec[],MatNullSpace*);
1521 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace,PetscErrorCode (*)(MatNullSpace,Vec,void*),void*);
1522 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace*);
1523 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace,Vec);
1524 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
1525 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat,MatNullSpace);
1526 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat,MatNullSpace);
1527 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat,MatNullSpace*);
1528 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace,Mat,PetscBool  *);
1529 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace,PetscViewer);
1530 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace,PetscBool*,PetscInt*,const Vec**);
1531 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec,MatNullSpace*);
1532 
1533 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat,IS);
1534 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1535 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat,PetscInt *);
1536 PETSC_EXTERN PetscErrorCode MatSeqBAIJInvertBlockDiagonal(Mat);
1537 
1538 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat,PetscInt,Mat*);
1539 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat,PetscInt,Mat*);
1540 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat,Mat*);
1541 
1542 PETSC_EXTERN PetscErrorCode MatComputeExplicitOperator(Mat,Mat*);
1543 
1544 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat,Vec);
1545 
1546 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
1547 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat,Vec,Vec);
1548 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat,PetscErrorCode(*)(void*,Vec,Vec),void*);
1549 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat,PetscErrorCode (*)(void*,PetscInt,Vec,PetscScalar*));
1550 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat,PetscErrorCode (*)(void*,Vec));
1551 PETSC_EXTERN PetscErrorCode MatMFFDAddNullSpace(Mat,MatNullSpace);
1552 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat,PetscScalar[],PetscInt);
1553 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
1554 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat,PetscReal);
1555 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat,PetscInt);
1556 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat,PetscScalar *);
1557 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat,const char[]);
1558 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void*,Vec,Vec,PetscScalar*);
1559 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat,PetscErrorCode (*)(void*,Vec,Vec,PetscScalar*),void*);
1560 
1561 /*S
1562     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
1563               Jacobian vector products
1564 
1565     Notes: MATMFFD is a specific MatType which uses the MatMFFD data structure
1566 
1567            MatMFFD*() methods actually take the Mat as their first argument. Not a MatMFFD data structure
1568 
1569     Level: developer
1570 
1571 .seealso: MATMFFD, MatCreateMFFD(), MatMFFDSetFuction(), MatMFFDSetType(), MatMFFDRegister()
1572 S*/
1573 typedef struct _p_MatMFFD* MatMFFD;
1574 
1575 /*J
1576     MatMFFDType - algorithm used to compute the h used in computing matrix-vector products via differencing of the function
1577 
1578    Level: beginner
1579 
1580 .seealso: MatMFFDSetType(), MatMFFDRegister()
1581 J*/
1582 typedef const char* MatMFFDType;
1583 #define MATMFFD_DS  "ds"
1584 #define MATMFFD_WP  "wp"
1585 
1586 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat,MatMFFDType);
1587 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[],PetscErrorCode (*)(MatMFFD));
1588 
1589 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat,PetscReal);
1590 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat,PetscBool );
1591 
1592 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
1593 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
1594 
1595 /*
1596    PETSc interface to MUMPS
1597 */
1598 #ifdef PETSC_HAVE_MUMPS
1599 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat,PetscInt,PetscInt);
1600 PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat,PetscInt,PetscInt*);
1601 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat,PetscInt,PetscReal);
1602 PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat,PetscInt,PetscReal*);
1603 
1604 PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat,PetscInt,PetscInt*);
1605 PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat,PetscInt,PetscInt*);
1606 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat,PetscInt,PetscReal*);
1607 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat,PetscInt,PetscReal*);
1608 #endif
1609 
1610 /*
1611    PETSc interface to Mkl_Pardiso
1612 */
1613 #ifdef PETSC_HAVE_MKL_PARDISO
1614 PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat,PetscInt,PetscInt);
1615 #endif
1616 
1617 /*
1618    PETSc interface to Mkl_CPardiso
1619 */
1620 #ifdef PETSC_HAVE_MKL_CPARDISO
1621 PETSC_EXTERN PetscErrorCode MatMkl_CPardisoSetCntl(Mat,PetscInt,PetscInt);
1622 #endif
1623 
1624 /*
1625    PETSc interface to SUPERLU
1626 */
1627 #ifdef PETSC_HAVE_SUPERLU
1628 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat,PetscReal);
1629 #endif
1630 
1631 #ifdef PETSC_HAVE_CUDA
1632 /*E
1633     MatCUSPARSEStorageFormat - indicates the storage format for CUSPARSE (GPU)
1634     matrices.
1635 
1636     Not Collective
1637 
1638 +   MAT_CUSPARSE_CSR - Compressed Sparse Row
1639 .   MAT_CUSPARSE_ELL - Ellpack (requires CUDA 4.2 or later).
1640 -   MAT_CUSPARSE_HYB - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
1641 
1642     Level: intermediate
1643 
1644    Any additions/changes here MUST also be made in include/petsc-finclude/petscmat.h
1645 
1646 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEFormatOperation
1647 E*/
1648 
1649 typedef enum {MAT_CUSPARSE_CSR, MAT_CUSPARSE_ELL, MAT_CUSPARSE_HYB} MatCUSPARSEStorageFormat;
1650 
1651 /* these will be strings associated with enumerated type defined above */
1652 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
1653 
1654 /*E
1655     MatCUSPARSEFormatOperation - indicates the operation of CUSPARSE (GPU)
1656     matrices whose operation should use a particular storage format.
1657 
1658     Not Collective
1659 
1660 +   MAT_CUSPARSE_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1661 .   MAT_CUSPARSE_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1662 .   MAT_CUSPARSE_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1663 -   MAT_CUSPARSE_ALL - sets the storage format for all CUSPARSE (GPU) matrices
1664 
1665     Level: intermediate
1666 
1667 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEStorageFormat
1668 E*/
1669 typedef enum {MAT_CUSPARSE_MULT_DIAG, MAT_CUSPARSE_MULT_OFFDIAG, MAT_CUSPARSE_MULT, MAT_CUSPARSE_ALL} MatCUSPARSEFormatOperation;
1670 
1671 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1672 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1673 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat,MatCUSPARSEFormatOperation,MatCUSPARSEStorageFormat);
1674 #endif
1675 
1676 #if defined(PETSC_HAVE_CUSP)
1677 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1678 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1679 
1680 /*E
1681     MatCUSPStorageFormat - indicates the storage format for CUSP (GPU)
1682     matrices.
1683 
1684     Not Collective
1685 
1686 +   MAT_CUSP_CSR - Compressed Sparse Row
1687 .   MAT_CUSP_DIA - Diagonal
1688 -   MAT_CUSP_ELL - Ellpack
1689 
1690     Level: intermediate
1691 
1692    Any additions/changes here MUST also be made in include/petsc-finclude/petscmat.h
1693 
1694 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1695 E*/
1696 typedef enum {MAT_CUSP_CSR, MAT_CUSP_DIA, MAT_CUSP_ELL} MatCUSPStorageFormat;
1697 
1698 /* these will be strings associated with enumerated type defined above */
1699 PETSC_EXTERN const char *const MatCUSPStorageFormats[];
1700 
1701 /*E
1702     MatCUSPFormatOperation - indicates the operation of CUSP (GPU)
1703     matrices whose operation should use a particular storage format.
1704 
1705     Not Collective
1706 
1707 +   MAT_CUSP_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1708 .   MAT_CUSP_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1709 .   MAT_CUSP_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1710 -   MAT_CUSP_ALL - sets the storage format for all CUSP (GPU) matrices
1711 
1712     Level: intermediate
1713 
1714    Any additions/changes here MUST also be made in include/petsc-finclude/petscmat.h
1715 
1716 .seealso: MatCUSPSetFormat(), MatCUSPStorageFormat
1717 E*/
1718 typedef enum {MAT_CUSP_MULT_DIAG, MAT_CUSP_MULT_OFFDIAG, MAT_CUSP_MULT, MAT_CUSP_ALL} MatCUSPFormatOperation;
1719 
1720 PETSC_EXTERN PetscErrorCode MatCUSPSetFormat(Mat,MatCUSPFormatOperation,MatCUSPStorageFormat);
1721 #endif
1722 
1723 #if defined(PETSC_HAVE_VIENNACL)
1724 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1725 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1726 #endif
1727 
1728 /*
1729    PETSc interface to FFTW
1730 */
1731 #if defined(PETSC_HAVE_FFTW)
1732 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat,Vec,Vec);
1733 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat,Vec,Vec);
1734 PETSC_EXTERN PetscErrorCode MatCreateVecsFFTW(Mat,Vec*,Vec*,Vec*);
1735 #endif
1736 
1737 /*
1738    PETSc interface to ELEMENTAL
1739 */
1740 #if defined(PETSC_HAVE_ELEMENTAL)
1741 #if defined(PETSC_USE_COMPLEX)
1742 typedef El::Complex<PetscReal> PetscElemScalar;
1743 #else
1744 typedef PetscScalar PetscElemScalar;
1745 #endif
1746 PETSC_EXTERN PetscErrorCode PetscElementalInitializePackage(void);
1747 PETSC_EXTERN PetscErrorCode PetscElementalFinalizePackage(void);
1748 #endif
1749 
1750 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm,PetscInt,const IS[],PetscInt,const IS[],const Mat[],Mat*);
1751 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat,PetscInt*,PetscInt*);
1752 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat,IS[],IS[]);
1753 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat,IS[],IS[]);
1754 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat,PetscInt*,PetscInt*,Mat***);
1755 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat,PetscInt,PetscInt,Mat*);
1756 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat,VecType);
1757 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat,PetscInt,const IS[],PetscInt,const IS[],const Mat[]);
1758 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat,PetscInt,PetscInt,Mat);
1759 
1760 PETSC_EXTERN PetscErrorCode MatChop(Mat,PetscReal);
1761 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat,PetscReal,PetscInt*);
1762 
1763 #endif
1764