xref: /petsc/include/petscmat.h (revision bbd3f3368baff017a6ea7962313571cf23b2b4ec)
1 /*
2      Include file for the matrix component of PETSc
3 */
4 #ifndef __PETSCMAT_H
5 #define __PETSCMAT_H
6 #include <petscvec.h>
7 
8 /*S
9      Mat - Abstract PETSc matrix object used to manage all linear operators in PETSc, even those without
10            an explicit sparse representation (such as matrix-free operators)
11 
12    Level: beginner
13 
14   Concepts: matrix; linear operator
15 
16 .seealso:  MatCreate(), MatType, MatSetType(), MatDestroy()
17 S*/
18 typedef struct _p_Mat*           Mat;
19 
20 /*J
21     MatType - String with the name of a PETSc matrix type
22 
23    Level: beginner
24 
25 .seealso: MatSetType(), Mat, MatSolverPackage, MatRegister()
26 J*/
27 typedef const char* MatType;
28 #define MATSAME            "same"
29 #define MATMAIJ            "maij"
30 #define MATSEQMAIJ         "seqmaij"
31 #define MATMPIMAIJ         "mpimaij"
32 #define MATIS              "is"
33 #define MATAIJ             "aij"
34 #define MATSEQAIJ          "seqaij"
35 #define MATSEQAIJPTHREAD   "seqaijpthread"
36 #define MATAIJPTHREAD      "aijpthread"
37 #define MATMPIAIJ          "mpiaij"
38 #define MATAIJCRL          "aijcrl"
39 #define MATSEQAIJCRL       "seqaijcrl"
40 #define MATMPIAIJCRL       "mpiaijcrl"
41 #define MATAIJCUSP         "aijcusp"
42 #define MATSEQAIJCUSP      "seqaijcusp"
43 #define MATMPIAIJCUSP      "mpiaijcusp"
44 #define MATAIJCUSPARSE     "aijcusparse"
45 #define MATSEQAIJCUSPARSE  "seqaijcusparse"
46 #define MATMPIAIJCUSPARSE  "mpiaijcusparse"
47 #define MATAIJVIENNACL     "aijviennacl"
48 #define MATSEQAIJVIENNACL  "seqaijviennacl"
49 #define MATMPIAIJVIENNACL  "mpiaijviennacl"
50 #define MATAIJPERM         "aijperm"
51 #define MATSEQAIJPERM      "seqaijperm"
52 #define MATMPIAIJPERM      "mpiaijperm"
53 #define MATSHELL           "shell"
54 #define MATDENSE           "dense"
55 #define MATSEQDENSE        "seqdense"
56 #define MATMPIDENSE        "mpidense"
57 #define MATELEMENTAL       "elemental"
58 #define MATBAIJ            "baij"
59 #define MATSEQBAIJ         "seqbaij"
60 #define MATMPIBAIJ         "mpibaij"
61 #define MATMPIADJ          "mpiadj"
62 #define MATSBAIJ           "sbaij"
63 #define MATSEQSBAIJ        "seqsbaij"
64 #define MATMPISBAIJ        "mpisbaij"
65 #define MATSEQBSTRM        "seqbstrm"
66 #define MATMPIBSTRM        "mpibstrm"
67 #define MATBSTRM           "bstrm"
68 #define MATSEQSBSTRM       "seqsbstrm"
69 #define MATMPISBSTRM       "mpisbstrm"
70 #define MATSBSTRM          "sbstrm"
71 #define MATDAAD            "daad"
72 #define MATMFFD            "mffd"
73 #define MATNORMAL          "normal"
74 #define MATLRC             "lrc"
75 #define MATSCATTER         "scatter"
76 #define MATBLOCKMAT        "blockmat"
77 #define MATCOMPOSITE       "composite"
78 #define MATFFT             "fft"
79 #define MATFFTW            "fftw"
80 #define MATSEQCUFFT        "seqcufft"
81 #define MATTRANSPOSEMAT    "transpose"
82 #define MATSCHURCOMPLEMENT "schurcomplement"
83 #define MATPYTHON          "python"
84 #define MATHYPRESTRUCT     "hyprestruct"
85 #define MATHYPRESSTRUCT    "hypresstruct"
86 #define MATSUBMATRIX       "submatrix"
87 #define MATLOCALREF        "localref"
88 #define MATNEST            "nest"
89 
90 /*J
91     MatSolverPackage - String with the name of a PETSc matrix solver type.
92 
93     For example: "petsc" indicates what PETSc provides, "superlu" indicates either
94        SuperLU or SuperLU_Dist etc.
95 
96 
97    Level: beginner
98 
99 .seealso: MatGetFactor(), Mat, MatSetType(), MatType
100 J*/
101 #define MatSolverPackage char*
102 #define MATSOLVERSUPERLU      "superlu"
103 #define MATSOLVERSUPERLU_DIST "superlu_dist"
104 #define MATSOLVERUMFPACK      "umfpack"
105 #define MATSOLVERCHOLMOD      "cholmod"
106 #define MATSOLVERESSL         "essl"
107 #define MATSOLVERLUSOL        "lusol"
108 #define MATSOLVERMUMPS        "mumps"
109 #define MATSOLVERMKL_PARDISO  "mkl_pardiso"
110 #define MATSOLVERPASTIX       "pastix"
111 #define MATSOLVERMATLAB       "matlab"
112 #define MATSOLVERPETSC        "petsc"
113 #define MATSOLVERBAS          "bas"
114 #define MATSOLVERCUSPARSE     "cusparse"
115 #define MATSOLVERBSTRM        "bstrm"
116 #define MATSOLVERSBSTRM       "sbstrm"
117 #define MATSOLVERELEMENTAL    "elemental"
118 #define MATSOLVERCLIQUE       "clique"
119 #define MATSOLVERKLU          "klu"
120 
121 /*E
122     MatFactorType - indicates what type of factorization is requested
123 
124     Level: beginner
125 
126    Any additions/changes here MUST also be made in include/finclude/petscmat.h
127 
128 .seealso: MatSolverPackage, MatGetFactor()
129 E*/
130 typedef enum {MAT_FACTOR_NONE, MAT_FACTOR_LU, MAT_FACTOR_CHOLESKY, MAT_FACTOR_ILU, MAT_FACTOR_ICC,MAT_FACTOR_ILUDT} MatFactorType;
131 PETSC_EXTERN const char *const MatFactorTypes[];
132 
133 PETSC_EXTERN PetscErrorCode MatGetFactor(Mat,const MatSolverPackage,MatFactorType,Mat*);
134 PETSC_EXTERN PetscErrorCode MatGetFactorAvailable(Mat,const MatSolverPackage,MatFactorType,PetscBool *);
135 PETSC_EXTERN PetscErrorCode MatFactorGetSolverPackage(Mat,const MatSolverPackage*);
136 PETSC_EXTERN PetscErrorCode MatGetFactorType(Mat,MatFactorType*);
137 
138 /* Logging support */
139 #define    MAT_FILE_CLASSID 1211216    /* used to indicate matrices in binary files */
140 PETSC_EXTERN PetscClassId MAT_CLASSID;
141 PETSC_EXTERN PetscClassId MAT_COLORING_CLASSID;
142 PETSC_EXTERN PetscClassId MAT_FDCOLORING_CLASSID;
143 PETSC_EXTERN PetscClassId MAT_TRANSPOSECOLORING_CLASSID;
144 PETSC_EXTERN PetscClassId MAT_PARTITIONING_CLASSID;
145 PETSC_EXTERN PetscClassId MAT_COARSEN_CLASSID;
146 PETSC_EXTERN PetscClassId MAT_NULLSPACE_CLASSID;
147 PETSC_EXTERN PetscClassId MATMFFD_CLASSID;
148 
149 /*E
150     MatReuse - Indicates if matrices obtained from a previous call to MatGetSubMatrices()
151      or MatGetSubMatrix() are to be reused to store the new matrix values. For MatConvert() is used to indicate
152      that the input matrix is to be replaced with the converted matrix.
153 
154     Level: beginner
155 
156    Any additions/changes here MUST also be made in include/finclude/petscmat.h
157 
158 .seealso: MatGetSubMatrices(), MatGetSubMatrix(), MatDestroyMatrices(), MatConvert()
159 E*/
160 typedef enum {MAT_INITIAL_MATRIX,MAT_REUSE_MATRIX,MAT_IGNORE_MATRIX} MatReuse;
161 
162 /*E
163     MatGetSubMatrixOption - Indicates if matrices obtained from a call to MatGetSubMatrices()
164      include the matrix values. Currently it is only used by MatGetSeqNonzerostructure().
165 
166     Level: beginner
167 
168 .seealso: MatGetSeqNonzerostructure()
169 E*/
170 typedef enum {MAT_DO_NOT_GET_VALUES,MAT_GET_VALUES} MatGetSubMatrixOption;
171 
172 PETSC_EXTERN PetscErrorCode MatInitializePackage(void);
173 
174 PETSC_EXTERN PetscErrorCode MatCreate(MPI_Comm,Mat*);
175 PETSC_EXTERN PetscErrorCode MatSetSizes(Mat,PetscInt,PetscInt,PetscInt,PetscInt);
176 PETSC_EXTERN PetscErrorCode MatSetType(Mat,MatType);
177 PETSC_EXTERN PetscErrorCode MatSetFromOptions(Mat);
178 PETSC_STATIC_INLINE PetscErrorCode MatViewFromOptions(Mat A,const char prefix[],const char name[]) {return PetscObjectViewFromOptions((PetscObject)A,prefix,name);}
179 PETSC_EXTERN PetscErrorCode MatRegisterAll(void);
180 PETSC_EXTERN PetscErrorCode MatRegister(const char[],PetscErrorCode(*)(Mat));
181 PETSC_EXTERN PetscErrorCode MatRegisterBaseName(const char[],const char[],const char[]);
182 PETSC_EXTERN PetscErrorCode MatSetOptionsPrefix(Mat,const char[]);
183 PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefix(Mat,const char[]);
184 PETSC_EXTERN PetscErrorCode MatGetOptionsPrefix(Mat,const char*[]);
185 
186 PETSC_EXTERN PetscBool         MatRegisterAllCalled;
187 PETSC_EXTERN PetscFunctionList MatList;
188 PETSC_EXTERN PetscFunctionList MatColoringList;
189 PETSC_EXTERN PetscFunctionList MatPartitioningList;
190 PETSC_EXTERN PetscFunctionList MatCoarsenList;
191 
192 /*E
193     MatStructure - Indicates if two matrices have the same nonzero structure
194 
195     Level: beginner
196 
197    Any additions/changes here MUST also be made in include/finclude/petscmat.h
198 
199 .seealso: MatCopy(), MatAXPY()
200 E*/
201 typedef enum {DIFFERENT_NONZERO_PATTERN,SUBSET_NONZERO_PATTERN,SAME_NONZERO_PATTERN} MatStructure;
202 
203 PETSC_EXTERN PetscErrorCode MatCreateSeqDense(MPI_Comm,PetscInt,PetscInt,PetscScalar[],Mat*);
204 PETSC_EXTERN PetscErrorCode MatCreateDense(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar[],Mat*);
205 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
206 PETSC_EXTERN PetscErrorCode MatCreateAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
207 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
208 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSplitArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],PetscInt[],PetscInt[],PetscScalar[],Mat*);
209 
210 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
211 PETSC_EXTERN PetscErrorCode MatCreateBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
212 PETSC_EXTERN PetscErrorCode MatCreateMPIBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat*);
213 
214 PETSC_EXTERN PetscErrorCode MatCreateMPIAdj(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscInt[],Mat*);
215 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
216 
217 PETSC_EXTERN PetscErrorCode MatCreateSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
218 PETSC_EXTERN PetscErrorCode MatCreateMPISBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
219 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
220 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
221 PETSC_EXTERN PetscErrorCode MatXAIJSetPreallocation(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscInt[],const PetscInt[]);
222 
223 PETSC_EXTERN PetscErrorCode MatCreateShell(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,void *,Mat*);
224 PETSC_EXTERN PetscErrorCode MatCreateNormal(Mat,Mat*);
225 PETSC_EXTERN PetscErrorCode MatCreateLRC(Mat,Mat,Mat,Mat*);
226 PETSC_EXTERN PetscErrorCode MatCreateIS(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,ISLocalToGlobalMapping,Mat*);
227 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
228 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
229 
230 PETSC_EXTERN PetscErrorCode MatCreateSeqBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
231 PETSC_EXTERN PetscErrorCode MatCreateMPIBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
232 PETSC_EXTERN PetscErrorCode MatCreateSeqSBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
233 PETSC_EXTERN PetscErrorCode MatCreateMPISBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
234 
235 PETSC_EXTERN PetscErrorCode MatCreateScatter(MPI_Comm,VecScatter,Mat*);
236 PETSC_EXTERN PetscErrorCode MatScatterSetVecScatter(Mat,VecScatter);
237 PETSC_EXTERN PetscErrorCode MatScatterGetVecScatter(Mat,VecScatter*);
238 PETSC_EXTERN PetscErrorCode MatCreateBlockMat(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt*,Mat*);
239 PETSC_EXTERN PetscErrorCode MatCompositeAddMat(Mat,Mat);
240 PETSC_EXTERN PetscErrorCode MatCompositeMerge(Mat);
241 PETSC_EXTERN PetscErrorCode MatCreateComposite(MPI_Comm,PetscInt,const Mat*,Mat*);
242 typedef enum {MAT_COMPOSITE_ADDITIVE,MAT_COMPOSITE_MULTIPLICATIVE} MatCompositeType;
243 PETSC_EXTERN PetscErrorCode MatCompositeSetType(Mat,MatCompositeType);
244 
245 PETSC_EXTERN PetscErrorCode MatCreateFFT(MPI_Comm,PetscInt,const PetscInt[],MatType,Mat*);
246 PETSC_EXTERN PetscErrorCode MatCreateSeqCUFFT(MPI_Comm,PetscInt,const PetscInt[],Mat*);
247 
248 PETSC_EXTERN PetscErrorCode MatCreateTranspose(Mat,Mat*);
249 PETSC_EXTERN PetscErrorCode MatCreateSubMatrix(Mat,IS,IS,Mat*);
250 PETSC_EXTERN PetscErrorCode MatSubMatrixUpdate(Mat,Mat,IS,IS);
251 PETSC_EXTERN PetscErrorCode MatCreateLocalRef(Mat,IS,IS,Mat*);
252 
253 PETSC_EXTERN PetscErrorCode MatPythonSetType(Mat,const char[]);
254 
255 PETSC_EXTERN PetscErrorCode MatSetUp(Mat);
256 PETSC_EXTERN PetscErrorCode MatDestroy(Mat*);
257 PETSC_EXTERN PetscErrorCode MatGetNonzeroState(Mat,PetscObjectState*);
258 
259 PETSC_EXTERN PetscErrorCode MatConjugate(Mat);
260 PETSC_EXTERN PetscErrorCode MatRealPart(Mat);
261 PETSC_EXTERN PetscErrorCode MatImaginaryPart(Mat);
262 PETSC_EXTERN PetscErrorCode MatGetDiagonalBlock(Mat,Mat*);
263 PETSC_EXTERN PetscErrorCode MatGetTrace(Mat,PetscScalar*);
264 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonal(Mat,const PetscScalar **);
265 
266 /* ------------------------------------------------------------*/
267 PETSC_EXTERN PetscErrorCode MatSetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
268 PETSC_EXTERN PetscErrorCode MatSetValuesBlocked(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
269 PETSC_EXTERN PetscErrorCode MatSetValuesRow(Mat,PetscInt,const PetscScalar[]);
270 PETSC_EXTERN PetscErrorCode MatSetValuesRowLocal(Mat,PetscInt,const PetscScalar[]);
271 PETSC_EXTERN PetscErrorCode MatSetValuesBatch(Mat,PetscInt,PetscInt,PetscInt[],const PetscScalar[]);
272 PETSC_EXTERN PetscErrorCode MatSetRandom(Mat,PetscRandom);
273 
274 /*S
275      MatStencil - Data structure (C struct) for storing information about a single row or
276         column of a matrix as indexed on an associated grid.
277 
278    Fortran usage is different, see MatSetValuesStencil() for details.
279 
280    Level: beginner
281 
282   Concepts: matrix; linear operator
283 
284 .seealso:  MatSetValuesStencil(), MatSetStencil(), MatSetValuesBlockedStencil()
285 S*/
286 typedef struct {
287   PetscInt k,j,i,c;
288 } MatStencil;
289 
290 PETSC_EXTERN PetscErrorCode MatSetValuesStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
291 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
292 PETSC_EXTERN PetscErrorCode MatSetStencil(Mat,PetscInt,const PetscInt[],const PetscInt[],PetscInt);
293 
294 PETSC_EXTERN PetscErrorCode MatSetColoring(Mat,ISColoring);
295 PETSC_EXTERN PetscErrorCode MatSetValuesAdifor(Mat,PetscInt,void*);
296 
297 /*E
298     MatAssemblyType - Indicates if the matrix is now to be used, or if you plan
299      to continue to add values to it
300 
301     Level: beginner
302 
303 .seealso: MatAssemblyBegin(), MatAssemblyEnd()
304 E*/
305 typedef enum {MAT_FLUSH_ASSEMBLY=1,MAT_FINAL_ASSEMBLY=0} MatAssemblyType;
306 PETSC_EXTERN PetscErrorCode MatAssemblyBegin(Mat,MatAssemblyType);
307 PETSC_EXTERN PetscErrorCode MatAssemblyEnd(Mat,MatAssemblyType);
308 PETSC_EXTERN PetscErrorCode MatAssembled(Mat,PetscBool *);
309 
310 
311 
312 /*E
313     MatOption - Options that may be set for a matrix and its behavior or storage
314 
315     Level: beginner
316 
317    Any additions/changes here MUST also be made in include/finclude/petscmat.h
318 
319    Developer Notes: Entries that are negative need not be called collectively by all processes.
320 
321 .seealso: MatSetOption()
322 E*/
323 typedef enum {MAT_OPTION_MIN = -5,
324               MAT_NEW_NONZERO_LOCATION_ERR = -4,
325               MAT_UNUSED_NONZERO_LOCATION_ERR = -3,
326               MAT_NEW_NONZERO_ALLOCATION_ERR = -2,
327               MAT_ROW_ORIENTED = -1,
328               MAT_SYMMETRIC = 1,
329               MAT_STRUCTURALLY_SYMMETRIC = 2,
330               MAT_NEW_DIAGONALS = 3,
331               MAT_IGNORE_OFF_PROC_ENTRIES = 4,
332               MAT_USE_HASH_TABLE = 5,
333               MAT_KEEP_NONZERO_PATTERN = 6,
334               MAT_IGNORE_ZERO_ENTRIES = 7,
335               MAT_USE_INODES = 8,
336               MAT_HERMITIAN = 9,
337               MAT_SYMMETRY_ETERNAL = 10,
338               MAT_DUMMY = 11,
339               MAT_IGNORE_LOWER_TRIANGULAR = 12,
340               MAT_ERROR_LOWER_TRIANGULAR = 13,
341               MAT_GETROW_UPPERTRIANGULAR = 14,
342               MAT_SPD = 15,
343               MAT_NO_OFF_PROC_ZERO_ROWS = 16,
344               MAT_NO_OFF_PROC_ENTRIES = 17,
345               MAT_NEW_NONZERO_LOCATIONS = 18,
346               MAT_OPTION_MAX = 19} MatOption;
347 
348 PETSC_EXTERN const char *MatOptions[];
349 PETSC_EXTERN PetscErrorCode MatSetOption(Mat,MatOption,PetscBool );
350 PETSC_EXTERN PetscErrorCode MatGetType(Mat,MatType*);
351 
352 PETSC_EXTERN PetscErrorCode MatGetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar[]);
353 PETSC_EXTERN PetscErrorCode MatGetRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
354 PETSC_EXTERN PetscErrorCode MatRestoreRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
355 PETSC_EXTERN PetscErrorCode MatGetRowUpperTriangular(Mat);
356 PETSC_EXTERN PetscErrorCode MatRestoreRowUpperTriangular(Mat);
357 PETSC_EXTERN PetscErrorCode MatGetColumn(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
358 PETSC_EXTERN PetscErrorCode MatRestoreColumn(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
359 PETSC_EXTERN PetscErrorCode MatGetColumnVector(Mat,Vec,PetscInt);
360 PETSC_EXTERN PetscErrorCode MatSeqAIJGetArray(Mat,PetscScalar *[]);
361 PETSC_EXTERN PetscErrorCode MatSeqAIJRestoreArray(Mat,PetscScalar *[]);
362 PETSC_EXTERN PetscErrorCode MatSeqAIJGetMaxRowNonzeros(Mat,PetscInt*);
363 PETSC_EXTERN PetscErrorCode MatSeqAIJSetValuesLocalFast(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
364 PETSC_EXTERN PetscErrorCode MatDenseGetArray(Mat,PetscScalar *[]);
365 PETSC_EXTERN PetscErrorCode MatDenseRestoreArray(Mat,PetscScalar *[]);
366 PETSC_EXTERN PetscErrorCode MatGetBlockSize(Mat,PetscInt *);
367 PETSC_EXTERN PetscErrorCode MatSetBlockSize(Mat,PetscInt);
368 PETSC_EXTERN PetscErrorCode MatGetBlockSizes(Mat,PetscInt *,PetscInt *);
369 PETSC_EXTERN PetscErrorCode MatSetBlockSizes(Mat,PetscInt,PetscInt);
370 PETSC_EXTERN PetscErrorCode MatSetBlockSizesFromMats(Mat,Mat,Mat);
371 PETSC_EXTERN PetscErrorCode MatSetNThreads(Mat,PetscInt);
372 PETSC_EXTERN PetscErrorCode MatGetNThreads(Mat,PetscInt*);
373 
374 PETSC_EXTERN PetscErrorCode MatMult(Mat,Vec,Vec);
375 PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat,Vec,Vec);
376 PETSC_EXTERN PetscErrorCode MatMultAdd(Mat,Vec,Vec,Vec);
377 PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat,Vec,Vec);
378 PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat,Vec,Vec);
379 PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat,Mat,PetscReal,PetscBool *);
380 PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat,Mat,PetscReal,PetscBool *);
381 PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat,Vec,Vec,Vec);
382 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat,Vec,Vec,Vec);
383 PETSC_EXTERN PetscErrorCode MatMultConstrained(Mat,Vec,Vec);
384 PETSC_EXTERN PetscErrorCode MatMultTransposeConstrained(Mat,Vec,Vec);
385 PETSC_EXTERN PetscErrorCode MatMatSolve(Mat,Mat,Mat);
386 PETSC_EXTERN PetscErrorCode MatResidual(Mat,Vec,Vec,Vec);
387 
388 /*E
389     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
390   its numerical values copied over or just its nonzero structure.
391 
392     Level: beginner
393 
394    Any additions/changes here MUST also be made in include/finclude/petscmat.h
395 
396 $   MAT_SHARE_NONZERO_PATTERN - the i and j arrays in the new matrix will be shared with the original matrix
397 $                               this also triggers the MAT_DO_NOT_COPY_VALUES option. This is used when you
398 $                               have several matrices with the same nonzero pattern.
399 
400 .seealso: MatDuplicate()
401 E*/
402 typedef enum {MAT_DO_NOT_COPY_VALUES,MAT_COPY_VALUES,MAT_SHARE_NONZERO_PATTERN} MatDuplicateOption;
403 
404 PETSC_EXTERN PetscErrorCode MatConvert(Mat,MatType,MatReuse,Mat*);
405 PETSC_EXTERN PetscErrorCode MatDuplicate(Mat,MatDuplicateOption,Mat*);
406 
407 
408 PETSC_EXTERN PetscErrorCode MatCopy(Mat,Mat,MatStructure);
409 PETSC_EXTERN PetscErrorCode MatView(Mat,PetscViewer);
410 PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat,PetscReal,PetscBool *);
411 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat,PetscBool *);
412 PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat,PetscReal,PetscBool *);
413 PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat,PetscBool *,PetscBool *);
414 PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat,PetscBool *,PetscBool *);
415 PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat,PetscBool  *,PetscInt *);
416 PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);
417 
418 PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
419 PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
420 PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
421 PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
422 
423 /*S
424      MatInfo - Context of matrix information, used with MatGetInfo()
425 
426    In Fortran this is simply a double precision array of dimension MAT_INFO_SIZE
427 
428    Level: intermediate
429 
430   Concepts: matrix^nonzero information
431 
432 .seealso:  MatGetInfo(), MatInfoType
433 S*/
434 typedef struct {
435   PetscLogDouble block_size;                         /* block size */
436   PetscLogDouble nz_allocated,nz_used,nz_unneeded;   /* number of nonzeros */
437   PetscLogDouble memory;                             /* memory allocated */
438   PetscLogDouble assemblies;                         /* number of matrix assemblies called */
439   PetscLogDouble mallocs;                            /* number of mallocs during MatSetValues() */
440   PetscLogDouble fill_ratio_given,fill_ratio_needed; /* fill ratio for LU/ILU */
441   PetscLogDouble factor_mallocs;                     /* number of mallocs during factorization */
442 } MatInfo;
443 
444 /*E
445     MatInfoType - Indicates if you want information about the local part of the matrix,
446      the entire parallel matrix or the maximum over all the local parts.
447 
448     Level: beginner
449 
450    Any additions/changes here MUST also be made in include/finclude/petscmat.h
451 
452 .seealso: MatGetInfo(), MatInfo
453 E*/
454 typedef enum {MAT_LOCAL=1,MAT_GLOBAL_MAX=2,MAT_GLOBAL_SUM=3} MatInfoType;
455 PETSC_EXTERN PetscErrorCode MatGetInfo(Mat,MatInfoType,MatInfo*);
456 PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat,Vec);
457 PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat,Vec,PetscInt[]);
458 PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat,Vec,PetscInt[]);
459 PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat,Vec,PetscInt[]);
460 PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat,Vec,PetscInt[]);
461 PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat,Vec);
462 PETSC_EXTERN PetscErrorCode MatTranspose(Mat,MatReuse,Mat*);
463 PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat,MatReuse,Mat*);
464 PETSC_EXTERN PetscErrorCode MatPermute(Mat,IS,IS,Mat *);
465 PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat,Vec,Vec);
466 PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat,Vec,InsertMode);
467 PETSC_EXTERN PetscErrorCode MatEqual(Mat,Mat,PetscBool *);
468 PETSC_EXTERN PetscErrorCode MatMultEqual(Mat,Mat,PetscInt,PetscBool *);
469 PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat,Mat,PetscInt,PetscBool *);
470 PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat,Mat,PetscInt,PetscBool *);
471 PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat,Mat,PetscInt,PetscBool *);
472 
473 PETSC_EXTERN PetscErrorCode MatNorm(Mat,NormType,PetscReal *);
474 PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat,NormType,PetscReal *);
475 PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
476 PETSC_EXTERN PetscErrorCode MatZeroRows(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
477 PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat,IS,PetscScalar,Vec,Vec);
478 PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat,PetscInt,const MatStencil [],PetscScalar,Vec,Vec);
479 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat,PetscInt,const MatStencil[],PetscScalar,Vec,Vec);
480 PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
481 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat,IS,PetscScalar,Vec,Vec);
482 
483 PETSC_EXTERN PetscErrorCode MatGetSize(Mat,PetscInt*,PetscInt*);
484 PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat,PetscInt*,PetscInt*);
485 PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat,PetscInt*,PetscInt*);
486 PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat,const PetscInt**);
487 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat,PetscInt*,PetscInt*);
488 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat,const PetscInt**);
489 PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat,IS*,IS*);
490 
491 PETSC_EXTERN PetscErrorCode MatGetSubMatrices(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
492 PETSC_EXTERN PetscErrorCode MatGetSubMatricesParallel(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
493 PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt,Mat *[]);
494 PETSC_EXTERN PetscErrorCode MatGetSubMatrix(Mat,IS,IS,MatReuse,Mat *);
495 PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat,IS,IS,Mat*);
496 PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat,IS,IS,Mat*);
497 PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat,Mat*);
498 PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat*);
499 
500 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJConcatenateSeqAIJ(MPI_Comm,Mat,PetscInt,MatReuse,Mat*);
501 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJConcatenateSeqAIJSymbolic(MPI_Comm,Mat,PetscInt,Mat*);
502 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJConcatenateSeqAIJNumeric(MPI_Comm,Mat,PetscInt,Mat);
503 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm,Mat,PetscInt,PetscInt,MatReuse,Mat*);
504 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm,Mat,PetscInt,PetscInt,Mat*);
505 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat,Mat);
506 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat,MatReuse,Mat*);
507 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat,MatReuse,IS*,IS*,Mat*);
508 PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat,Mat,MatReuse,IS*,IS*,Mat*);
509 PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *,const PetscInt *[]);
510 
511 PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat,PetscInt,IS[],PetscInt);
512 
513 PETSC_EXTERN PetscErrorCode MatMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
514 PETSC_EXTERN PetscErrorCode MatMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
515 PETSC_EXTERN PetscErrorCode MatMatMultNumeric(Mat,Mat,Mat);
516 
517 PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
518 PETSC_EXTERN PetscErrorCode MatMatMatMultSymbolic(Mat,Mat,Mat,PetscReal,Mat*);
519 PETSC_EXTERN PetscErrorCode MatMatMatMultNumeric(Mat,Mat,Mat,Mat);
520 
521 PETSC_EXTERN PetscErrorCode MatPtAP(Mat,Mat,MatReuse,PetscReal,Mat*);
522 PETSC_EXTERN PetscErrorCode MatPtAPSymbolic(Mat,Mat,PetscReal,Mat*);
523 PETSC_EXTERN PetscErrorCode MatPtAPNumeric(Mat,Mat,Mat);
524 PETSC_EXTERN PetscErrorCode MatRARt(Mat,Mat,MatReuse,PetscReal,Mat*);
525 PETSC_EXTERN PetscErrorCode MatRARtSymbolic(Mat,Mat,PetscReal,Mat*);
526 PETSC_EXTERN PetscErrorCode MatRARtNumeric(Mat,Mat,Mat);
527 
528 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
529 PETSC_EXTERN PetscErrorCode MatTransposetMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
530 PETSC_EXTERN PetscErrorCode MatTransposetMatMultNumeric(Mat,Mat,Mat);
531 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat,Mat,MatReuse,PetscReal,Mat*);
532 PETSC_EXTERN PetscErrorCode MatMatTransposeMultSymbolic(Mat,Mat,PetscReal,Mat*);
533 PETSC_EXTERN PetscErrorCode MatMatTransposeMultNumeric(Mat,Mat,Mat);
534 
535 PETSC_EXTERN PetscErrorCode MatAXPY(Mat,PetscScalar,Mat,MatStructure);
536 PETSC_EXTERN PetscErrorCode MatAYPX(Mat,PetscScalar,Mat,MatStructure);
537 
538 PETSC_EXTERN PetscErrorCode MatScale(Mat,PetscScalar);
539 PETSC_EXTERN PetscErrorCode MatShift(Mat,PetscScalar);
540 
541 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
542 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
543 PETSC_EXTERN PetscErrorCode MatGetLayouts(Mat,PetscLayout*,PetscLayout*);
544 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
545 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
546 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
547 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
548 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
549 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
550 
551 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat,PetscInt,PetscInt);
552 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat,PetscInt*,PetscInt*,PetscInt*,PetscInt*);
553 
554 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat,Vec,Vec);
555 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat,Vec,Vec,Vec);
556 PETSC_EXTERN PetscErrorCode MatRestrict(Mat,Vec,Vec);
557 PETSC_EXTERN PetscErrorCode MatGetVecs(Mat,Vec*,Vec*);
558 PETSC_EXTERN PetscErrorCode MatGetRedundantMatrix(Mat,PetscInt,MPI_Comm,MatReuse,Mat*);
559 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat,MPI_Comm,MatReuse,Mat*);
560 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat,IS*);
561 PETSC_EXTERN PetscErrorCode MatFindOffBlockDiagonalEntries(Mat,IS*);
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 MatSeqDenseSetLDA(Mat,PetscInt);
941 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat,Mat*);
942 
943 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
944 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
945 
946 PETSC_EXTERN PetscErrorCode MatDAADSetCtx(Mat,void*);
947 
948 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat,IS*);
949 /*
950   These routines are not usually accessed directly, rather solving is
951   done through the KSP and PC interfaces.
952 */
953 
954 /*J
955     MatOrderingType - String with the name of a PETSc matrix ordering
956 
957    Level: beginner
958 
959 .seealso: MatGetOrdering()
960 J*/
961 typedef const char* MatOrderingType;
962 #define MATORDERINGNATURAL     "natural"
963 #define MATORDERINGND          "nd"
964 #define MATORDERING1WD         "1wd"
965 #define MATORDERINGRCM         "rcm"
966 #define MATORDERINGQMD         "qmd"
967 #define MATORDERINGROWLENGTH   "rowlength"
968 #define MATORDERINGWBM         "wbm"
969 #define MATORDERINGSPECTRAL    "spectral"
970 #define MATORDERINGAMD         "amd"            /* only works if UMFPACK is installed with PETSc */
971 
972 PETSC_EXTERN PetscErrorCode MatGetOrdering(Mat,MatOrderingType,IS*,IS*);
973 PETSC_EXTERN PetscErrorCode MatGetOrderingList(PetscFunctionList*);
974 PETSC_EXTERN PetscErrorCode MatOrderingRegister(const char[],PetscErrorCode(*)(Mat,MatOrderingType,IS*,IS*));
975 PETSC_EXTERN PetscErrorCode MatOrderingRegisterAll(void);
976 PETSC_EXTERN PetscBool         MatOrderingRegisterAllCalled;
977 PETSC_EXTERN PetscFunctionList MatOrderingList;
978 
979 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
980 PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat,PetscReal,PetscBool,Mat*);
981 
982 /*S
983     MatFactorShiftType - Numeric Shift.
984 
985    Level: beginner
986 
987 S*/
988 typedef enum {MAT_SHIFT_NONE,MAT_SHIFT_NONZERO,MAT_SHIFT_POSITIVE_DEFINITE,MAT_SHIFT_INBLOCKS} MatFactorShiftType;
989 PETSC_EXTERN const char *const MatFactorShiftTypes[];
990 PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];
991 
992 /*S
993    MatFactorInfo - Data passed into the matrix factorization routines
994 
995    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE, that is use
996 $     MatFactorInfo  info(MAT_FACTORINFO_SIZE)
997 
998    Notes: These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
999 
1000       You can use MatFactorInfoInitialize() to set default values.
1001 
1002    Level: developer
1003 
1004 .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor(),
1005           MatFactorInfoInitialize()
1006 
1007 S*/
1008 typedef struct {
1009   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
1010   PetscReal     usedt;
1011   PetscReal     dt;             /* drop tolerance */
1012   PetscReal     dtcol;          /* tolerance for pivoting */
1013   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
1014   PetscReal     fill;           /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1015   PetscReal     levels;         /* ICC/ILU(levels) */
1016   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1017                                    factorization may be faster if do not pivot */
1018   PetscReal     zeropivot;      /* pivot is called zero if less than this */
1019   PetscReal     shifttype;      /* type of shift added to matrix factor to prevent zero pivots */
1020   PetscReal     shiftamount;     /* how large the shift is */
1021 } MatFactorInfo;
1022 
1023 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo*);
1024 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat,IS,const MatFactorInfo*);
1025 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1026 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat,Mat,const MatFactorInfo*);
1027 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat,IS,IS,const MatFactorInfo*);
1028 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat,IS,IS,const MatFactorInfo*);
1029 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1030 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1031 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1032 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat,IS,const MatFactorInfo*);
1033 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat,Mat,const MatFactorInfo*);
1034 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat,PetscInt*,PetscInt*,PetscInt*);
1035 PETSC_EXTERN PetscErrorCode MatSolve(Mat,Vec,Vec);
1036 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat,Vec,Vec);
1037 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat,Vec,Vec);
1038 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat,Vec,Vec,Vec);
1039 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat,Vec,Vec);
1040 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
1041 PETSC_EXTERN PetscErrorCode MatSolves(Mat,Vecs,Vecs);
1042 
1043 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
1044 
1045 /*E
1046     MatSORType - What type of (S)SOR to perform
1047 
1048     Level: beginner
1049 
1050    May be bitwise ORd together
1051 
1052    Any additions/changes here MUST also be made in include/finclude/petscmat.h
1053 
1054    MatSORType may be bitwise ORd together, so do not change the numbers
1055 
1056 .seealso: MatSOR()
1057 E*/
1058 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
1059               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
1060               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
1061               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
1062 PETSC_EXTERN PetscErrorCode MatSOR(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
1063 
1064 /*
1065     These routines are for efficiently computing Jacobians via finite differences.
1066 */
1067 
1068 /*S
1069      MatColoring - Object for managing the coloring of matrices.
1070 
1071    Level: beginner
1072 
1073   Concepts: matrix, coloring
1074 
1075 .seealso:  MatFDColoringCreate() ISColoring MatFDColoring
1076 S*/
1077 typedef struct _p_MatColoring* MatColoring;
1078 /*J
1079     MatColoringType - String with the name of a PETSc matrix coloring
1080 
1081    Level: beginner
1082 
1083 .seealso: MatColoringSetType(), MatColoring
1084 J*/
1085 
1086 typedef const  char*           MatColoringType;
1087 #define MATCOLORINGJP      "jp"
1088 #define MATCOLORINGPOWER   "power"
1089 #define MATCOLORINGNATURAL "natural"
1090 #define MATCOLORINGSL      "sl"
1091 #define MATCOLORINGLF      "lf"
1092 #define MATCOLORINGID      "id"
1093 #define MATCOLORINGGREEDY  "greedy"
1094 
1095 /*E
1096    MatColoringWeightType - Type of weight scheme
1097 
1098     Not Collective
1099 
1100 +   MAT_COLORING_RANDOM  - Random weights
1101 .   MAT_COLORING_LEXICAL - Lexical weighting based upon global numbering.
1102 -   MAT_COLORING_LF      - Last-first weighting.
1103 
1104     Level: intermediate
1105 
1106    Any additions/changes here MUST also be made in include/finclude/petscmat.h
1107 
1108 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1109 E*/
1110 typedef enum {MAT_COLORING_WEIGHT_RANDOM,MAT_COLORING_WEIGHT_LEXICAL,MAT_COLORING_WEIGHT_LF,MAT_COLORING_WEIGHT_SL} MatColoringWeightType;
1111 
1112 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat,MatColoring*);
1113 PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat,PetscInt,PetscInt*);
1114 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring*);
1115 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring,PetscViewer);
1116 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring,MatColoringType);
1117 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1118 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring,PetscInt);
1119 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring,PetscInt*);
1120 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring,PetscInt);
1121 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring,PetscInt*);
1122 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring,ISColoring*);
1123 PETSC_EXTERN PetscErrorCode MatColoringRegisterAll(void);
1124 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[],PetscErrorCode(*)(MatColoring));
1125 PETSC_EXTERN PetscBool MatColoringRegisterAllCalled;
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 PETSC_EXTERN PetscBool MatPartitioningRegisterAllCalled;
1217 
1218 PETSC_EXTERN PetscErrorCode MatPartitioningRegisterAll(void);
1219 
1220 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning,PetscViewer);
1221 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1222 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
1223 
1224 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1225 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1226 
1227 typedef enum { MP_CHACO_MULTILEVEL=1,MP_CHACO_SPECTRAL=2,MP_CHACO_LINEAR=4,MP_CHACO_RANDOM=5,MP_CHACO_SCATTERED=6 } MPChacoGlobalType;
1228 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1229 typedef enum { MP_CHACO_KERNIGHAN=1,MP_CHACO_NONE=2 } MPChacoLocalType;
1230 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1231 typedef enum { MP_CHACO_LANCZOS=0,MP_CHACO_RQI=1 } MPChacoEigenType;
1232 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1233 
1234 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning,MPChacoGlobalType);
1235 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning,MPChacoGlobalType*);
1236 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning,MPChacoLocalType);
1237 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning,MPChacoLocalType*);
1238 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning,PetscReal);
1239 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning,MPChacoEigenType);
1240 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning,MPChacoEigenType*);
1241 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning,PetscReal);
1242 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning,PetscReal*);
1243 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning,PetscInt);
1244 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning,PetscInt*);
1245 
1246 #define MP_PARTY_OPT "opt"
1247 #define MP_PARTY_LIN "lin"
1248 #define MP_PARTY_SCA "sca"
1249 #define MP_PARTY_RAN "ran"
1250 #define MP_PARTY_GBF "gbf"
1251 #define MP_PARTY_GCF "gcf"
1252 #define MP_PARTY_BUB "bub"
1253 #define MP_PARTY_DEF "def"
1254 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning,const char*);
1255 #define MP_PARTY_HELPFUL_SETS "hs"
1256 #define MP_PARTY_KERNIGHAN_LIN "kl"
1257 #define MP_PARTY_NONE "no"
1258 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning,const char*);
1259 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning,PetscReal);
1260 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning,PetscBool);
1261 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning,PetscBool);
1262 
1263 typedef enum { MP_PTSCOTCH_QUALITY,MP_PTSCOTCH_SPEED,MP_PTSCOTCH_BALANCE,MP_PTSCOTCH_SAFETY,MP_PTSCOTCH_SCALABILITY } MPPTScotchStrategyType;
1264 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1265 
1266 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning,PetscReal);
1267 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning,PetscReal*);
1268 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning,MPPTScotchStrategyType);
1269 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning,MPPTScotchStrategyType*);
1270 
1271 /*
1272     These routines are for coarsening matrices:
1273 */
1274 
1275 /*S
1276      MatCoarsen - Object for managing the coarsening of a graph (symmetric matrix)
1277 
1278    Level: beginner
1279 
1280   Concepts: coarsen
1281 
1282 .seealso:  MatCoarsenCreate), MatCoarsenType
1283 S*/
1284 typedef struct _p_MatCoarsen* MatCoarsen;
1285 
1286 /*J
1287     MatCoarsenType - String with the name of a PETSc matrix coarsen
1288 
1289    Level: beginner
1290 
1291 .seealso: MatCoarsenCreate(), MatCoarsen
1292 J*/
1293 typedef const char* MatCoarsenType;
1294 #define MATCOARSENMIS  "mis"
1295 #define MATCOARSENHEM  "hem"
1296 
1297 /* linked list for aggregates */
1298 typedef struct _PetscCDIntNd{
1299   struct _PetscCDIntNd *next;
1300   PetscInt             gid;
1301 }PetscCDIntNd;
1302 
1303 /* only used by node pool */
1304 typedef struct _PetscCDArrNd{
1305   struct _PetscCDArrNd *next;
1306   struct _PetscCDIntNd *array;
1307 }PetscCDArrNd;
1308 
1309 typedef struct _PetscCoarsenData{
1310   PetscCDArrNd pool_list;  /* node pool */
1311   PetscCDIntNd *new_node;
1312   PetscInt     new_left;
1313   PetscInt     chk_sz;
1314   PetscCDIntNd *extra_nodes;
1315   PetscCDIntNd **array;  /* Array of lists */
1316   PetscInt     size;
1317   Mat          mat;  /* cache a Mat for communication data */
1318 }PetscCoarsenData;
1319 
1320 PETSC_EXTERN PetscErrorCode MatCoarsenCreate(MPI_Comm,MatCoarsen*);
1321 PETSC_EXTERN PetscErrorCode MatCoarsenSetType(MatCoarsen,MatCoarsenType);
1322 PETSC_EXTERN PetscErrorCode MatCoarsenSetAdjacency(MatCoarsen,Mat);
1323 PETSC_EXTERN PetscErrorCode MatCoarsenSetGreedyOrdering(MatCoarsen,const IS);
1324 PETSC_EXTERN PetscErrorCode MatCoarsenSetStrictAggs(MatCoarsen,PetscBool);
1325 PETSC_EXTERN PetscErrorCode MatCoarsenSetVerbose(MatCoarsen,PetscInt);
1326 PETSC_EXTERN PetscErrorCode MatCoarsenGetData( MatCoarsen, PetscCoarsenData ** );
1327 PETSC_EXTERN PetscErrorCode MatCoarsenApply(MatCoarsen);
1328 PETSC_EXTERN PetscErrorCode MatCoarsenDestroy(MatCoarsen*);
1329 
1330 PETSC_EXTERN PetscErrorCode MatCoarsenRegister(const char[],PetscErrorCode (*)(MatCoarsen));
1331 
1332 PETSC_EXTERN PetscBool MatCoarsenRegisterAllCalled;
1333 
1334 PETSC_EXTERN PetscErrorCode MatCoarsenRegisterAll(void);
1335 
1336 PETSC_EXTERN PetscErrorCode MatCoarsenView(MatCoarsen,PetscViewer);
1337 PETSC_EXTERN PetscErrorCode MatCoarsenSetFromOptions(MatCoarsen);
1338 PETSC_EXTERN PetscErrorCode MatCoarsenGetType(MatCoarsen,MatCoarsenType*);
1339 PETSC_STATIC_INLINE PetscErrorCode MatCoarsenViewFromOptions(MatCoarsen A,const char prefix[],const char name[]) {return PetscObjectViewFromOptions((PetscObject)A,prefix,name);}
1340 
1341 PETSC_EXTERN PetscErrorCode MatMeshToVertexGraph(Mat,PetscInt,Mat*);
1342 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat,PetscInt,Mat*);
1343 
1344 /*
1345     If you add entries here you must also add them to finclude/petscmat.h
1346 */
1347 typedef enum { MATOP_SET_VALUES=0,
1348                MATOP_GET_ROW=1,
1349                MATOP_RESTORE_ROW=2,
1350                MATOP_MULT=3,
1351                MATOP_MULT_ADD=4,
1352                MATOP_MULT_TRANSPOSE=5,
1353                MATOP_MULT_TRANSPOSE_ADD=6,
1354                MATOP_SOLVE=7,
1355                MATOP_SOLVE_ADD=8,
1356                MATOP_SOLVE_TRANSPOSE=9,
1357                MATOP_SOLVE_TRANSPOSE_ADD=10,
1358                MATOP_LUFACTOR=11,
1359                MATOP_CHOLESKYFACTOR=12,
1360                MATOP_SOR=13,
1361                MATOP_TRANSPOSE=14,
1362                MATOP_GETINFO=15,
1363                MATOP_EQUAL=16,
1364                MATOP_GET_DIAGONAL=17,
1365                MATOP_DIAGONAL_SCALE=18,
1366                MATOP_NORM=19,
1367                MATOP_ASSEMBLY_BEGIN=20,
1368                MATOP_ASSEMBLY_END=21,
1369                MATOP_SET_OPTION=22,
1370                MATOP_ZERO_ENTRIES=23,
1371                MATOP_ZERO_ROWS=24,
1372                MATOP_LUFACTOR_SYMBOLIC=25,
1373                MATOP_LUFACTOR_NUMERIC=26,
1374                MATOP_CHOLESKY_FACTOR_SYMBOLIC=27,
1375                MATOP_CHOLESKY_FACTOR_NUMERIC=28,
1376                MATOP_SETUP_PREALLOCATION=29,
1377                MATOP_ILUFACTOR_SYMBOLIC=30,
1378                MATOP_ICCFACTOR_SYMBOLIC=31,
1379                /* MATOP_PLACEHOLDER_32=32, */
1380                /* MATOP_PLACEHOLDER_33=33, */
1381                MATOP_DUPLICATE=34,
1382                MATOP_FORWARD_SOLVE=35,
1383                MATOP_BACKWARD_SOLVE=36,
1384                MATOP_ILUFACTOR=37,
1385                MATOP_ICCFACTOR=38,
1386                MATOP_AXPY=39,
1387                MATOP_GET_SUBMATRICES=40,
1388                MATOP_INCREASE_OVERLAP=41,
1389                MATOP_GET_VALUES=42,
1390                MATOP_COPY=43,
1391                MATOP_GET_ROW_MAX=44,
1392                MATOP_SCALE=45,
1393                MATOP_SHIFT=46,
1394                MATOP_DIAGONAL_SET=47,
1395                MATOP_ZERO_ROWS_COLUMNS=48,
1396                MATOP_SET_RANDOM=49,
1397                MATOP_GET_ROW_IJ=50,
1398                MATOP_RESTORE_ROW_IJ=51,
1399                MATOP_GET_COLUMN_IJ=52,
1400                MATOP_RESTORE_COLUMN_IJ=53,
1401                MATOP_FDCOLORING_CREATE=54,
1402                MATOP_COLORING_PATCH=55,
1403                MATOP_SET_UNFACTORED=56,
1404                MATOP_PERMUTE=57,
1405                MATOP_SET_VALUES_BLOCKED=58,
1406                MATOP_GET_SUBMATRIX=59,
1407                MATOP_DESTROY=60,
1408                MATOP_VIEW=61,
1409                MATOP_CONVERT_FROM=62,
1410                MATOP_MATMAT_MULT=63,
1411                MATOP_MATMAT_MULT_SYMBOLIC=64,
1412                MATOP_MATMAT_MULT_NUMERIC=65,
1413                MATOP_SET_LOCAL_TO_GLOBAL_MAP=66,
1414                MATOP_SET_VALUES_LOCAL=67,
1415                MATOP_ZERO_ROWS_LOCAL=68,
1416                MATOP_GET_ROW_MAX_ABS=69,
1417                MATOP_GET_ROW_MIN_ABS=70,
1418                MATOP_CONVERT=71,
1419                MATOP_SET_COLORING=72,
1420                /* MATOP_PLACEHOLDER_73=73, */
1421                MATOP_SET_VALUES_ADIFOR=74,
1422                MATOP_FD_COLORING_APPLY=75,
1423                MATOP_SET_FROM_OPTIONS=76,
1424                MATOP_MULT_CONSTRAINED=77,
1425                MATOP_MULT_TRANSPOSE_CONSTRAIN=78,
1426                MATOP_FIND_ZERO_DIAGONALS=79,
1427                MATOP_MULT_MULTIPLE=80,
1428                MATOP_SOLVE_MULTIPLE=81,
1429                MATOP_GET_INERTIA=82,
1430                MATOP_LOAD=83,
1431                MATOP_IS_SYMMETRIC=84,
1432                MATOP_IS_HERMITIAN=85,
1433                MATOP_IS_STRUCTURALLY_SYMMETRIC=86,
1434                MATOP_SET_VALUES_BLOCKEDLOCAL=87,
1435                MATOP_GET_VECS=88,
1436                MATOP_MAT_MULT=89,
1437                MATOP_MAT_MULT_SYMBOLIC=90,
1438                MATOP_MAT_MULT_NUMERIC=91,
1439                MATOP_PTAP=92,
1440                MATOP_PTAP_SYMBOLIC=93,
1441                MATOP_PTAP_NUMERIC=94,
1442                MATOP_MAT_TRANSPOSE_MULT=95,
1443                MATOP_MAT_TRANSPOSE_MULT_SYMBO=96,
1444                MATOP_MAT_TRANSPOSE_MULT_NUMER=97,
1445                /* MATOP_PLACEHOLDER_98=98, */
1446                /* MATOP_PLACEHOLDER_99=99, */
1447                /* MATOP_PLACEHOLDER_100=100, */
1448                /* MATOP_PLACEHOLDER_101=101, */
1449                MATOP_CONJUGATE=102,
1450                /* MATOP_PLACEHOLDER_103=103, */
1451                MATOP_SET_VALUES_ROW=104,
1452                MATOP_REAL_PART=105,
1453                MATOP_IMAGINARY_PART=106,
1454                MATOP_GET_ROW_UPPER_TRIANGULAR=107,
1455                MATOP_RESTORE_ROW_UPPER_TRIANG=108,
1456                MATOP_MAT_SOLVE=109,
1457                MATOP_GET_REDUNDANT_MATRIX=110,
1458                MATOP_GET_ROW_MIN=111,
1459                MATOP_GET_COLUMN_VECTOR=112,
1460                MATOP_MISSING_DIAGONAL=113,
1461                MATOP_GET_SEQ_NONZERO_STRUCTUR=114,
1462                MATOP_CREATE=115,
1463                MATOP_GET_GHOSTS=116,
1464                MATOP_GET_LOCAL_SUB_MATRIX=117,
1465                MATOP_RESTORE_LOCALSUB_MATRIX=118,
1466                MATOP_MULT_DIAGONAL_BLOCK=119,
1467                MATOP_HERMITIAN_TRANSPOSE=120,
1468                MATOP_MULT_HERMITIAN_TRANSPOSE=121,
1469                MATOP_MULT_HERMITIAN_TRANS_ADD=122,
1470                MATOP_GET_MULTI_PROC_BLOCK=123,
1471                MATOP_FIND_NONZERO_ROWS=124,
1472                MATOP_GET_COLUMN_NORMS=125,
1473                MATOP_INVERT_BLOCK_DIAGONAL=126,
1474                /* MATOP_PLACEHOLDER_127=127, */
1475                MATOP_GET_SUB_MATRICES_PARALLE=128,
1476                MATOP_SET_VALUES_BATCH=129,
1477                MATOP_TRANSPOSE_MAT_MULT=130,
1478                MATOP_TRANSPOSE_MAT_MULT_SYMBO=131,
1479                MATOP_TRANSPOSE_MAT_MULT_NUMER=132,
1480                MATOP_TRANSPOSE_COLORING_CREAT=133,
1481                MATOP_TRANS_COLORING_APPLY_SPT=134,
1482                MATOP_TRANS_COLORING_APPLY_DEN=135,
1483                MATOP_RART=136,
1484                MATOP_RART_SYMBOLIC=137,
1485                MATOP_RART_NUMERIC=138,
1486                MATOP_SET_BLOCK_SIZES=139,
1487                MATOP_AYPX=140,
1488                MATOP_RESIDUAL=141,
1489                MATOP_FDCOLORING_SETUP= 142
1490              } MatOperation;
1491 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat,MatOperation,PetscBool *);
1492 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat,MatOperation,void(*)(void));
1493 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat,MatOperation,void(**)(void));
1494 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat,void*);
1495 
1496 /*
1497    Codes for matrices stored on disk. By default they are
1498    stored in a universal format. By changing the format with
1499    PetscViewerSetFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
1500    be stored in a way natural for the matrix, for example dense matrices
1501    would be stored as dense. Matrices stored this way may only be
1502    read into matrices of the same type.
1503 */
1504 #define MATRIX_BINARY_FORMAT_DENSE -1
1505 
1506 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1507 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat,Mat*);
1508 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat,Mat);
1509 
1510 /*S
1511      MatNullSpace - Object that removes a null space from a vector, i.e.
1512          orthogonalizes the vector to a subsapce
1513 
1514    Level: advanced
1515 
1516   Concepts: matrix; linear operator, null space
1517 
1518   Users manual sections:
1519 .   sec_singular
1520 
1521 .seealso:  MatNullSpaceCreate()
1522 S*/
1523 typedef struct _p_MatNullSpace* MatNullSpace;
1524 
1525 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm,PetscBool ,PetscInt,const Vec[],MatNullSpace*);
1526 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace,PetscErrorCode (*)(MatNullSpace,Vec,void*),void*);
1527 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace*);
1528 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace,Vec);
1529 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
1530 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat,MatNullSpace);
1531 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat,MatNullSpace);
1532 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat,MatNullSpace*);
1533 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace,Mat,PetscBool  *);
1534 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace,PetscViewer);
1535 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace,PetscBool*,PetscInt*,const Vec**);
1536 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec,MatNullSpace*);
1537 
1538 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat,IS);
1539 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1540 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat,PetscInt *);
1541 PETSC_EXTERN PetscErrorCode MatSeqBAIJInvertBlockDiagonal(Mat);
1542 
1543 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat,PetscInt,Mat*);
1544 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat,PetscInt,Mat*);
1545 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat,Mat*);
1546 
1547 PETSC_EXTERN PetscErrorCode MatComputeExplicitOperator(Mat,Mat*);
1548 
1549 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat,Vec);
1550 
1551 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
1552 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat,Vec,Vec);
1553 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat,PetscErrorCode(*)(void*,Vec,Vec),void*);
1554 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat,PetscErrorCode (*)(void*,PetscInt,Vec,PetscScalar*));
1555 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat,PetscErrorCode (*)(void*,Vec));
1556 PETSC_EXTERN PetscErrorCode MatMFFDAddNullSpace(Mat,MatNullSpace);
1557 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat,PetscScalar[],PetscInt);
1558 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
1559 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat,PetscReal);
1560 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat,PetscInt);
1561 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat,PetscScalar *);
1562 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat,const char[]);
1563 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void*,Vec,Vec,PetscScalar*);
1564 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat,PetscErrorCode (*)(void*,Vec,Vec,PetscScalar*),void*);
1565 
1566 /*S
1567     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
1568               Jacobian vector products
1569 
1570     Notes: MATMFFD is a specific MatType which uses the MatMFFD data structure
1571 
1572            MatMFFD*() methods actually take the Mat as their first argument. Not a MatMFFD data structure
1573 
1574     Level: developer
1575 
1576 .seealso: MATMFFD, MatCreateMFFD(), MatMFFDSetFuction(), MatMFFDSetType(), MatMFFDRegister()
1577 S*/
1578 typedef struct _p_MatMFFD* MatMFFD;
1579 
1580 /*J
1581     MatMFFDType - algorithm used to compute the h used in computing matrix-vector products via differencing of the function
1582 
1583    Level: beginner
1584 
1585 .seealso: MatMFFDSetType(), MatMFFDRegister()
1586 J*/
1587 typedef const char* MatMFFDType;
1588 #define MATMFFD_DS  "ds"
1589 #define MATMFFD_WP  "wp"
1590 
1591 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat,MatMFFDType);
1592 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[],PetscErrorCode (*)(MatMFFD));
1593 
1594 PETSC_EXTERN PetscErrorCode MatMFFDRegisterAll(void);
1595 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat,PetscReal);
1596 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat,PetscBool );
1597 
1598 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
1599 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
1600 
1601 /*
1602    PETSc interface to MUMPS
1603 */
1604 #ifdef PETSC_HAVE_MUMPS
1605 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat,PetscInt,PetscInt);
1606 PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat,PetscInt,PetscInt*);
1607 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat,PetscInt,PetscReal);
1608 PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat,PetscInt,PetscReal*);
1609 
1610 PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat,PetscInt,PetscInt*);
1611 PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat,PetscInt,PetscInt*);
1612 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat,PetscInt,PetscReal*);
1613 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat,PetscInt,PetscReal*);
1614 #endif
1615 
1616 /*
1617    PETSc interface to Mkl_Pardiso
1618 */
1619 #ifdef PETSC_HAVE_MKL_PARDISO
1620 PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat,PetscInt,PetscInt);
1621 #endif
1622 
1623 /*
1624    PETSc interface to SUPERLU
1625 */
1626 #ifdef PETSC_HAVE_SUPERLU
1627 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat,PetscReal);
1628 #endif
1629 
1630 #ifdef PETSC_HAVE_CUDA
1631 /*E
1632     MatCUSPARSEStorageFormat - indicates the storage format for CUSPARSE (GPU)
1633     matrices.
1634 
1635     Not Collective
1636 
1637 +   MAT_CUSPARSE_CSR - Compressed Sparse Row
1638 .   MAT_CUSPARSE_ELL - Ellpack (requires CUDA 4.2 or later).
1639 -   MAT_CUSPARSE_HYB - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
1640 
1641     Level: intermediate
1642 
1643    Any additions/changes here MUST also be made in include/finclude/petscmat.h
1644 
1645 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEFormatOperation
1646 E*/
1647 
1648 typedef enum {MAT_CUSPARSE_CSR, MAT_CUSPARSE_ELL, MAT_CUSPARSE_HYB} MatCUSPARSEStorageFormat;
1649 
1650 /* these will be strings associated with enumerated type defined above */
1651 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
1652 
1653 /*E
1654     MatCUSPARSEFormatOperation - indicates the operation of CUSPARSE (GPU)
1655     matrices whose operation should use a particular storage format.
1656 
1657     Not Collective
1658 
1659 +   MAT_CUSPARSE_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1660 .   MAT_CUSPARSE_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1661 .   MAT_CUSPARSE_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1662 -   MAT_CUSPARSE_ALL - sets the storage format for all CUSPARSE (GPU) matrices
1663 
1664     Level: intermediate
1665 
1666 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEStorageFormat
1667 E*/
1668 typedef enum {MAT_CUSPARSE_MULT_DIAG, MAT_CUSPARSE_MULT_OFFDIAG, MAT_CUSPARSE_MULT, MAT_CUSPARSE_ALL} MatCUSPARSEFormatOperation;
1669 
1670 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1671 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1672 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat,MatCUSPARSEFormatOperation,MatCUSPARSEStorageFormat);
1673 #endif
1674 
1675 #if defined(PETSC_HAVE_CUSP)
1676 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1677 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1678 
1679 /*E
1680     MatCUSPStorageFormat - indicates the storage format for CUSP (GPU)
1681     matrices.
1682 
1683     Not Collective
1684 
1685 +   MAT_CUSP_CSR - Compressed Sparse Row
1686 .   MAT_CUSP_DIA - Diagonal
1687 -   MAT_CUSP_ELL - Ellpack
1688 
1689     Level: intermediate
1690 
1691    Any additions/changes here MUST also be made in include/finclude/petscmat.h
1692 
1693 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1694 E*/
1695 typedef enum {MAT_CUSP_CSR, MAT_CUSP_DIA, MAT_CUSP_ELL} MatCUSPStorageFormat;
1696 
1697 /* these will be strings associated with enumerated type defined above */
1698 PETSC_EXTERN const char *const MatCUSPStorageFormats[];
1699 
1700 /*E
1701     MatCUSPFormatOperation - indicates the operation of CUSP (GPU)
1702     matrices whose operation should use a particular storage format.
1703 
1704     Not Collective
1705 
1706 +   MAT_CUSP_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1707 .   MAT_CUSP_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1708 .   MAT_CUSP_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1709 -   MAT_CUSP_ALL - sets the storage format for all CUSP (GPU) matrices
1710 
1711     Level: intermediate
1712 
1713    Any additions/changes here MUST also be made in include/finclude/petscmat.h
1714 
1715 .seealso: MatCUSPSetFormat(), MatCUSPStorageFormat
1716 E*/
1717 typedef enum {MAT_CUSP_MULT_DIAG, MAT_CUSP_MULT_OFFDIAG, MAT_CUSP_MULT, MAT_CUSP_ALL} MatCUSPFormatOperation;
1718 
1719 PETSC_EXTERN PetscErrorCode MatCUSPSetFormat(Mat,MatCUSPFormatOperation,MatCUSPStorageFormat);
1720 #endif
1721 
1722 #if defined(PETSC_HAVE_VIENNACL)
1723 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1724 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1725 #endif
1726 
1727 /*
1728    PETSc interface to FFTW
1729 */
1730 #if defined(PETSC_HAVE_FFTW)
1731 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat,Vec,Vec);
1732 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat,Vec,Vec);
1733 PETSC_EXTERN PetscErrorCode MatGetVecsFFTW(Mat,Vec*,Vec*,Vec*);
1734 #endif
1735 
1736 #if defined(PETSC_HAVE_ELEMENTAL)
1737 PETSC_EXTERN PetscErrorCode PetscElementalInitializePackage(void);
1738 PETSC_EXTERN PetscErrorCode PetscElementalFinalizePackage(void);
1739 #endif
1740 
1741 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm,PetscInt,const IS[],PetscInt,const IS[],const Mat[],Mat*);
1742 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat,PetscInt*,PetscInt*);
1743 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat,IS[],IS[]);
1744 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat,IS[],IS[]);
1745 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat,PetscInt*,PetscInt*,Mat***);
1746 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat,PetscInt,PetscInt,Mat*);
1747 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat,VecType);
1748 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat,PetscInt,const IS[],PetscInt,const IS[],const Mat[]);
1749 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat,PetscInt,PetscInt,Mat);
1750 
1751 PETSC_EXTERN PetscErrorCode MatChop(Mat,PetscReal);
1752 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat,PetscReal,PetscInt*);
1753 
1754 #endif
1755