xref: /petsc/include/petscmat.h (revision 09e2f92cfaf83d740300f89ad9653cee746cdaf2)
1 /*
2      Include file for the matrix component of PETSc
3 */
4 #ifndef __PETSCMAT_H
5 #define __PETSCMAT_H
6 #include <petscvec.h>
7 
8 /*S
9      Mat - Abstract PETSc matrix object used to manage all linear operators in PETSc, even those without
10            an explicit sparse representation (such as matrix-free operators)
11 
12    Level: beginner
13 
14   Concepts: matrix; linear operator
15 
16 .seealso:  MatCreate(), MatType, MatSetType(), MatDestroy()
17 S*/
18 typedef struct _p_Mat*           Mat;
19 
20 /*J
21     MatType - String with the name of a PETSc matrix type
22 
23    Level: beginner
24 
25 .seealso: MatSetType(), Mat, MatSolverPackage, MatRegister()
26 J*/
27 typedef const char* MatType;
28 #define MATSAME            "same"
29 #define MATMAIJ            "maij"
30 #define MATSEQMAIJ         "seqmaij"
31 #define MATMPIMAIJ         "mpimaij"
32 #define MATIS              "is"
33 #define MATAIJ             "aij"
34 #define MATSEQAIJ          "seqaij"
35 #define MATSEQAIJPTHREAD   "seqaijpthread"
36 #define MATAIJPTHREAD      "aijpthread"
37 #define MATMPIAIJ          "mpiaij"
38 #define MATAIJCRL          "aijcrl"
39 #define MATSEQAIJCRL       "seqaijcrl"
40 #define MATMPIAIJCRL       "mpiaijcrl"
41 #define MATAIJCUSP         "aijcusp"
42 #define MATSEQAIJCUSP      "seqaijcusp"
43 #define MATMPIAIJCUSP      "mpiaijcusp"
44 #define MATAIJCUSPARSE     "aijcusparse"
45 #define MATSEQAIJCUSPARSE  "seqaijcusparse"
46 #define MATMPIAIJCUSPARSE  "mpiaijcusparse"
47 #define MATAIJVIENNACL     "aijviennacl"
48 #define MATSEQAIJVIENNACL  "seqaijviennacl"
49 #define MATMPIAIJVIENNACL  "mpiaijviennacl"
50 #define MATAIJPERM         "aijperm"
51 #define MATSEQAIJPERM      "seqaijperm"
52 #define MATMPIAIJPERM      "mpiaijperm"
53 #define MATSHELL           "shell"
54 #define MATDENSE           "dense"
55 #define MATSEQDENSE        "seqdense"
56 #define MATMPIDENSE        "mpidense"
57 #define MATELEMENTAL       "elemental"
58 #define MATBAIJ            "baij"
59 #define MATSEQBAIJ         "seqbaij"
60 #define MATMPIBAIJ         "mpibaij"
61 #define MATMPIADJ          "mpiadj"
62 #define MATSBAIJ           "sbaij"
63 #define MATSEQSBAIJ        "seqsbaij"
64 #define MATMPISBAIJ        "mpisbaij"
65 #define MATSEQBSTRM        "seqbstrm"
66 #define MATMPIBSTRM        "mpibstrm"
67 #define MATBSTRM           "bstrm"
68 #define MATSEQSBSTRM       "seqsbstrm"
69 #define MATMPISBSTRM       "mpisbstrm"
70 #define MATSBSTRM          "sbstrm"
71 #define MATDAAD            "daad"
72 #define MATMFFD            "mffd"
73 #define MATNORMAL          "normal"
74 #define MATLRC             "lrc"
75 #define MATSCATTER         "scatter"
76 #define MATBLOCKMAT        "blockmat"
77 #define MATCOMPOSITE       "composite"
78 #define MATFFT             "fft"
79 #define MATFFTW            "fftw"
80 #define MATSEQCUFFT        "seqcufft"
81 #define MATTRANSPOSEMAT    "transpose"
82 #define MATSCHURCOMPLEMENT "schurcomplement"
83 #define MATPYTHON          "python"
84 #define MATHYPRESTRUCT     "hyprestruct"
85 #define MATHYPRESSTRUCT    "hypresstruct"
86 #define MATSUBMATRIX       "submatrix"
87 #define MATLOCALREF        "localref"
88 #define MATNEST            "nest"
89 
90 /*J
91     MatSolverPackage - String with the name of a PETSc matrix solver type.
92 
93     For example: "petsc" indicates what PETSc provides, "superlu" indicates either
94        SuperLU or SuperLU_Dist etc.
95 
96 
97    Level: beginner
98 
99 .seealso: MatGetFactor(), Mat, MatSetType(), MatType
100 J*/
101 #define MatSolverPackage char*
102 #define MATSOLVERSUPERLU      "superlu"
103 #define MATSOLVERSUPERLU_DIST "superlu_dist"
104 #define MATSOLVERUMFPACK      "umfpack"
105 #define MATSOLVERCHOLMOD      "cholmod"
106 #define MATSOLVERESSL         "essl"
107 #define MATSOLVERLUSOL        "lusol"
108 #define MATSOLVERMUMPS        "mumps"
109 #define MATSOLVERMKL_PARDISO  "mkl_pardiso"
110 #define MATSOLVERMKL_CPARDISO "mkl_cpardiso"
111 #define MATSOLVERPASTIX       "pastix"
112 #define MATSOLVERMATLAB       "matlab"
113 #define MATSOLVERPETSC        "petsc"
114 #define MATSOLVERBAS          "bas"
115 #define MATSOLVERCUSPARSE     "cusparse"
116 #define MATSOLVERBSTRM        "bstrm"
117 #define MATSOLVERSBSTRM       "sbstrm"
118 #define MATSOLVERELEMENTAL    "elemental"
119 #define MATSOLVERCLIQUE       "clique"
120 #define MATSOLVERKLU          "klu"
121 
122 /*E
123     MatFactorType - indicates what type of factorization is requested
124 
125     Level: beginner
126 
127    Any additions/changes here MUST also be made in include/petsc-finclude/petscmat.h
128 
129 .seealso: MatSolverPackage, MatGetFactor()
130 E*/
131 typedef enum {MAT_FACTOR_NONE, MAT_FACTOR_LU, MAT_FACTOR_CHOLESKY, MAT_FACTOR_ILU, MAT_FACTOR_ICC,MAT_FACTOR_ILUDT} MatFactorType;
132 PETSC_EXTERN const char *const MatFactorTypes[];
133 
134 PETSC_EXTERN PetscErrorCode MatGetFactor(Mat,const MatSolverPackage,MatFactorType,Mat*);
135 PETSC_EXTERN PetscErrorCode MatGetFactorAvailable(Mat,const MatSolverPackage,MatFactorType,PetscBool *);
136 PETSC_EXTERN PetscErrorCode MatFactorGetSolverPackage(Mat,const MatSolverPackage*);
137 PETSC_EXTERN PetscErrorCode MatGetFactorType(Mat,MatFactorType*);
138 PETSC_EXTERN PetscErrorCode MatSolverPackageRegister(const MatSolverPackage,const MatType,MatFactorType,PetscErrorCode(*)(Mat,MatFactorType,Mat*));
139 PETSC_EXTERN PetscErrorCode MatSolverPackageGet(const MatSolverPackage,const MatType,MatFactorType,PetscBool*,PetscBool*,PetscErrorCode (**)(Mat,MatFactorType,Mat*));
140 
141 /* Logging support */
142 #define    MAT_FILE_CLASSID 1211216    /* used to indicate matrices in binary files */
143 PETSC_EXTERN PetscClassId MAT_CLASSID;
144 PETSC_EXTERN PetscClassId MAT_COLORING_CLASSID;
145 PETSC_EXTERN PetscClassId MAT_FDCOLORING_CLASSID;
146 PETSC_EXTERN PetscClassId MAT_TRANSPOSECOLORING_CLASSID;
147 PETSC_EXTERN PetscClassId MAT_PARTITIONING_CLASSID;
148 PETSC_EXTERN PetscClassId MAT_COARSEN_CLASSID;
149 PETSC_EXTERN PetscClassId MAT_NULLSPACE_CLASSID;
150 PETSC_EXTERN PetscClassId MATMFFD_CLASSID;
151 
152 /*E
153     MatReuse - Indicates if matrices obtained from a previous call to MatGetSubMatrices()
154      or MatGetSubMatrix() are to be reused to store the new matrix values. For MatConvert() is used to indicate
155      that the input matrix is to be replaced with the converted matrix.
156 
157     Level: beginner
158 
159    Any additions/changes here MUST also be made in include/petsc-finclude/petscmat.h
160 
161 .seealso: MatGetSubMatrices(), MatGetSubMatrix(), MatDestroyMatrices(), MatConvert()
162 E*/
163 typedef enum {MAT_INITIAL_MATRIX,MAT_REUSE_MATRIX,MAT_IGNORE_MATRIX} MatReuse;
164 
165 /*E
166     MatGetSubMatrixOption - Indicates if matrices obtained from a call to MatGetSubMatrices()
167      include the matrix values. Currently it is only used by MatGetSeqNonzerostructure().
168 
169     Level: beginner
170 
171 .seealso: MatGetSeqNonzerostructure()
172 E*/
173 typedef enum {MAT_DO_NOT_GET_VALUES,MAT_GET_VALUES} MatGetSubMatrixOption;
174 
175 PETSC_EXTERN PetscErrorCode MatInitializePackage(void);
176 
177 PETSC_EXTERN PetscErrorCode MatCreate(MPI_Comm,Mat*);
178 PETSC_EXTERN PetscErrorCode MatSetSizes(Mat,PetscInt,PetscInt,PetscInt,PetscInt);
179 PETSC_EXTERN PetscErrorCode MatSetType(Mat,MatType);
180 PETSC_EXTERN PetscErrorCode MatSetFromOptions(Mat);
181 PETSC_STATIC_INLINE PetscErrorCode MatViewFromOptions(Mat A,const char prefix[],const char name[]) {return PetscObjectViewFromOptions((PetscObject)A,prefix,name);}
182 PETSC_EXTERN PetscErrorCode MatRegister(const char[],PetscErrorCode(*)(Mat));
183 PETSC_EXTERN PetscErrorCode MatRegisterBaseName(const char[],const char[],const char[]);
184 PETSC_EXTERN PetscErrorCode MatSetOptionsPrefix(Mat,const char[]);
185 PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefix(Mat,const char[]);
186 PETSC_EXTERN PetscErrorCode MatGetOptionsPrefix(Mat,const char*[]);
187 
188 PETSC_EXTERN PetscFunctionList MatList;
189 PETSC_EXTERN PetscFunctionList MatColoringList;
190 PETSC_EXTERN PetscFunctionList MatPartitioningList;
191 PETSC_EXTERN PetscFunctionList MatCoarsenList;
192 
193 /*E
194     MatStructure - Indicates if two matrices have the same nonzero structure
195 
196     Level: beginner
197 
198    Any additions/changes here MUST also be made in include/petsc-finclude/petscmat.h
199 
200 .seealso: MatCopy(), MatAXPY()
201 E*/
202 typedef enum {DIFFERENT_NONZERO_PATTERN,SUBSET_NONZERO_PATTERN,SAME_NONZERO_PATTERN} MatStructure;
203 
204 PETSC_EXTERN PetscErrorCode MatCreateSeqDense(MPI_Comm,PetscInt,PetscInt,PetscScalar[],Mat*);
205 PETSC_EXTERN PetscErrorCode MatCreateDense(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar[],Mat*);
206 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
207 PETSC_EXTERN PetscErrorCode MatCreateAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
208 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
209 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSplitArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],PetscInt[],PetscInt[],PetscScalar[],Mat*);
210 
211 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
212 PETSC_EXTERN PetscErrorCode MatCreateBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
213 PETSC_EXTERN PetscErrorCode MatCreateMPIBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat*);
214 
215 PETSC_EXTERN PetscErrorCode MatCreateMPIAdj(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscInt[],Mat*);
216 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
217 
218 PETSC_EXTERN PetscErrorCode MatCreateSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
219 PETSC_EXTERN PetscErrorCode MatCreateMPISBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
220 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
221 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
222 PETSC_EXTERN PetscErrorCode MatXAIJSetPreallocation(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscInt[],const PetscInt[]);
223 
224 PETSC_EXTERN PetscErrorCode MatCreateShell(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,void *,Mat*);
225 PETSC_EXTERN PetscErrorCode MatCreateNormal(Mat,Mat*);
226 PETSC_EXTERN PetscErrorCode MatCreateLRC(Mat,Mat,Mat,Mat*);
227 PETSC_EXTERN PetscErrorCode MatCreateIS(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,ISLocalToGlobalMapping,Mat*);
228 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
229 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
230 
231 PETSC_EXTERN PetscErrorCode MatCreateSeqBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
232 PETSC_EXTERN PetscErrorCode MatCreateMPIBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
233 PETSC_EXTERN PetscErrorCode MatCreateSeqSBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
234 PETSC_EXTERN PetscErrorCode MatCreateMPISBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
235 
236 PETSC_EXTERN PetscErrorCode MatCreateScatter(MPI_Comm,VecScatter,Mat*);
237 PETSC_EXTERN PetscErrorCode MatScatterSetVecScatter(Mat,VecScatter);
238 PETSC_EXTERN PetscErrorCode MatScatterGetVecScatter(Mat,VecScatter*);
239 PETSC_EXTERN PetscErrorCode MatCreateBlockMat(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt*,Mat*);
240 PETSC_EXTERN PetscErrorCode MatCompositeAddMat(Mat,Mat);
241 PETSC_EXTERN PetscErrorCode MatCompositeMerge(Mat);
242 PETSC_EXTERN PetscErrorCode MatCreateComposite(MPI_Comm,PetscInt,const Mat*,Mat*);
243 typedef enum {MAT_COMPOSITE_ADDITIVE,MAT_COMPOSITE_MULTIPLICATIVE} MatCompositeType;
244 PETSC_EXTERN PetscErrorCode MatCompositeSetType(Mat,MatCompositeType);
245 
246 PETSC_EXTERN PetscErrorCode MatCreateFFT(MPI_Comm,PetscInt,const PetscInt[],MatType,Mat*);
247 PETSC_EXTERN PetscErrorCode MatCreateSeqCUFFT(MPI_Comm,PetscInt,const PetscInt[],Mat*);
248 
249 PETSC_EXTERN PetscErrorCode MatCreateTranspose(Mat,Mat*);
250 PETSC_EXTERN PetscErrorCode MatCreateHermitianTranspose(Mat,Mat*);
251 PETSC_EXTERN PetscErrorCode MatCreateSubMatrix(Mat,IS,IS,Mat*);
252 PETSC_EXTERN PetscErrorCode MatSubMatrixUpdate(Mat,Mat,IS,IS);
253 PETSC_EXTERN PetscErrorCode MatCreateLocalRef(Mat,IS,IS,Mat*);
254 
255 PETSC_EXTERN PetscErrorCode MatPythonSetType(Mat,const char[]);
256 
257 PETSC_EXTERN PetscErrorCode MatSetUp(Mat);
258 PETSC_EXTERN PetscErrorCode MatDestroy(Mat*);
259 PETSC_EXTERN PetscErrorCode MatGetNonzeroState(Mat,PetscObjectState*);
260 
261 PETSC_EXTERN PetscErrorCode MatConjugate(Mat);
262 PETSC_EXTERN PetscErrorCode MatRealPart(Mat);
263 PETSC_EXTERN PetscErrorCode MatImaginaryPart(Mat);
264 PETSC_EXTERN PetscErrorCode MatGetDiagonalBlock(Mat,Mat*);
265 PETSC_EXTERN PetscErrorCode MatGetTrace(Mat,PetscScalar*);
266 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonal(Mat,const PetscScalar **);
267 
268 /* ------------------------------------------------------------*/
269 PETSC_EXTERN PetscErrorCode MatSetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
270 PETSC_EXTERN PetscErrorCode MatSetValuesBlocked(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
271 PETSC_EXTERN PetscErrorCode MatSetValuesRow(Mat,PetscInt,const PetscScalar[]);
272 PETSC_EXTERN PetscErrorCode MatSetValuesRowLocal(Mat,PetscInt,const PetscScalar[]);
273 PETSC_EXTERN PetscErrorCode MatSetValuesBatch(Mat,PetscInt,PetscInt,PetscInt[],const PetscScalar[]);
274 PETSC_EXTERN PetscErrorCode MatSetRandom(Mat,PetscRandom);
275 
276 /*S
277      MatStencil - Data structure (C struct) for storing information about a single row or
278         column of a matrix as indexed on an associated grid.
279 
280    Fortran usage is different, see MatSetValuesStencil() for details.
281 
282    Level: beginner
283 
284   Concepts: matrix; linear operator
285 
286 .seealso:  MatSetValuesStencil(), MatSetStencil(), MatSetValuesBlockedStencil()
287 S*/
288 typedef struct {
289   PetscInt k,j,i,c;
290 } MatStencil;
291 
292 PETSC_EXTERN PetscErrorCode MatSetValuesStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
293 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
294 PETSC_EXTERN PetscErrorCode MatSetStencil(Mat,PetscInt,const PetscInt[],const PetscInt[],PetscInt);
295 
296 PETSC_EXTERN PetscErrorCode MatSetColoring(Mat,ISColoring);
297 PETSC_EXTERN PetscErrorCode MatSetValuesAdifor(Mat,PetscInt,void*);
298 
299 /*E
300     MatAssemblyType - Indicates if the matrix is now to be used, or if you plan
301      to continue to add values to it
302 
303     Level: beginner
304 
305 .seealso: MatAssemblyBegin(), MatAssemblyEnd()
306 E*/
307 typedef enum {MAT_FLUSH_ASSEMBLY=1,MAT_FINAL_ASSEMBLY=0} MatAssemblyType;
308 PETSC_EXTERN PetscErrorCode MatAssemblyBegin(Mat,MatAssemblyType);
309 PETSC_EXTERN PetscErrorCode MatAssemblyEnd(Mat,MatAssemblyType);
310 PETSC_EXTERN PetscErrorCode MatAssembled(Mat,PetscBool *);
311 
312 
313 
314 /*E
315     MatOption - Options that may be set for a matrix and its behavior or storage
316 
317     Level: beginner
318 
319    Any additions/changes here MUST also be made in include/petsc-finclude/petscmat.h
320 
321    Developer Notes: Entries that are negative need not be called collectively by all processes.
322 
323 .seealso: MatSetOption()
324 E*/
325 typedef enum {MAT_OPTION_MIN = -5,
326               MAT_NEW_NONZERO_LOCATION_ERR = -4,
327               MAT_UNUSED_NONZERO_LOCATION_ERR = -3,
328               MAT_NEW_NONZERO_ALLOCATION_ERR = -2,
329               MAT_ROW_ORIENTED = -1,
330               MAT_SYMMETRIC = 1,
331               MAT_STRUCTURALLY_SYMMETRIC = 2,
332               MAT_NEW_DIAGONALS = 3,
333               MAT_IGNORE_OFF_PROC_ENTRIES = 4,
334               MAT_USE_HASH_TABLE = 5,
335               MAT_KEEP_NONZERO_PATTERN = 6,
336               MAT_IGNORE_ZERO_ENTRIES = 7,
337               MAT_USE_INODES = 8,
338               MAT_HERMITIAN = 9,
339               MAT_SYMMETRY_ETERNAL = 10,
340               MAT_DUMMY = 11,
341               MAT_IGNORE_LOWER_TRIANGULAR = 12,
342               MAT_ERROR_LOWER_TRIANGULAR = 13,
343               MAT_GETROW_UPPERTRIANGULAR = 14,
344               MAT_SPD = 15,
345               MAT_NO_OFF_PROC_ZERO_ROWS = 16,
346               MAT_NO_OFF_PROC_ENTRIES = 17,
347               MAT_NEW_NONZERO_LOCATIONS = 18,
348               MAT_OPTION_MAX = 19} MatOption;
349 
350 PETSC_EXTERN const char *MatOptions[];
351 PETSC_EXTERN PetscErrorCode MatSetOption(Mat,MatOption,PetscBool);
352 PETSC_EXTERN PetscErrorCode MatGetOption(Mat,MatOption,PetscBool*);
353 PETSC_EXTERN PetscErrorCode MatGetType(Mat,MatType*);
354 
355 PETSC_EXTERN PetscErrorCode MatGetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar[]);
356 PETSC_EXTERN PetscErrorCode MatGetRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
357 PETSC_EXTERN PetscErrorCode MatRestoreRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
358 PETSC_EXTERN PetscErrorCode MatGetRowUpperTriangular(Mat);
359 PETSC_EXTERN PetscErrorCode MatRestoreRowUpperTriangular(Mat);
360 PETSC_EXTERN PetscErrorCode MatGetColumn(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
361 PETSC_EXTERN PetscErrorCode MatRestoreColumn(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
362 PETSC_EXTERN PetscErrorCode MatGetColumnVector(Mat,Vec,PetscInt);
363 PETSC_EXTERN PetscErrorCode MatSeqAIJGetArray(Mat,PetscScalar *[]);
364 PETSC_EXTERN PetscErrorCode MatSeqAIJRestoreArray(Mat,PetscScalar *[]);
365 PETSC_EXTERN PetscErrorCode MatSeqAIJGetMaxRowNonzeros(Mat,PetscInt*);
366 PETSC_EXTERN PetscErrorCode MatSeqAIJSetValuesLocalFast(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
367 PETSC_EXTERN PetscErrorCode MatDenseGetArray(Mat,PetscScalar *[]);
368 PETSC_EXTERN PetscErrorCode MatDenseRestoreArray(Mat,PetscScalar *[]);
369 PETSC_EXTERN PetscErrorCode MatGetBlockSize(Mat,PetscInt *);
370 PETSC_EXTERN PetscErrorCode MatSetBlockSize(Mat,PetscInt);
371 PETSC_EXTERN PetscErrorCode MatGetBlockSizes(Mat,PetscInt *,PetscInt *);
372 PETSC_EXTERN PetscErrorCode MatSetBlockSizes(Mat,PetscInt,PetscInt);
373 PETSC_EXTERN PetscErrorCode MatSetBlockSizesFromMats(Mat,Mat,Mat);
374 PETSC_EXTERN PetscErrorCode MatSetNThreads(Mat,PetscInt);
375 PETSC_EXTERN PetscErrorCode MatGetNThreads(Mat,PetscInt*);
376 
377 PETSC_EXTERN PetscErrorCode MatMult(Mat,Vec,Vec);
378 PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat,Vec,Vec);
379 PETSC_EXTERN PetscErrorCode MatMultAdd(Mat,Vec,Vec,Vec);
380 PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat,Vec,Vec);
381 PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat,Vec,Vec);
382 PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat,Mat,PetscReal,PetscBool *);
383 PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat,Mat,PetscReal,PetscBool *);
384 PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat,Vec,Vec,Vec);
385 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat,Vec,Vec,Vec);
386 PETSC_EXTERN PetscErrorCode MatMultConstrained(Mat,Vec,Vec);
387 PETSC_EXTERN PetscErrorCode MatMultTransposeConstrained(Mat,Vec,Vec);
388 PETSC_EXTERN PetscErrorCode MatMatSolve(Mat,Mat,Mat);
389 PETSC_EXTERN PetscErrorCode MatResidual(Mat,Vec,Vec,Vec);
390 
391 /*E
392     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
393   its numerical values copied over or just its nonzero structure.
394 
395     Level: beginner
396 
397    Any additions/changes here MUST also be made in include/petsc-finclude/petscmat.h
398 
399 $   MAT_SHARE_NONZERO_PATTERN - the i and j arrays in the new matrix will be shared with the original matrix
400 $                               this also triggers the MAT_DO_NOT_COPY_VALUES option. This is used when you
401 $                               have several matrices with the same nonzero pattern.
402 
403 .seealso: MatDuplicate()
404 E*/
405 typedef enum {MAT_DO_NOT_COPY_VALUES,MAT_COPY_VALUES,MAT_SHARE_NONZERO_PATTERN} MatDuplicateOption;
406 
407 PETSC_EXTERN PetscErrorCode MatConvert(Mat,MatType,MatReuse,Mat*);
408 PETSC_EXTERN PetscErrorCode MatDuplicate(Mat,MatDuplicateOption,Mat*);
409 
410 
411 PETSC_EXTERN PetscErrorCode MatCopy(Mat,Mat,MatStructure);
412 PETSC_EXTERN PetscErrorCode MatView(Mat,PetscViewer);
413 PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat,PetscReal,PetscBool *);
414 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat,PetscBool *);
415 PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat,PetscReal,PetscBool *);
416 PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat,PetscBool *,PetscBool *);
417 PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat,PetscBool *,PetscBool *);
418 PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat,PetscBool  *,PetscInt *);
419 PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);
420 
421 PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
422 PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
423 PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
424 PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
425 
426 /*S
427      MatInfo - Context of matrix information, used with MatGetInfo()
428 
429    In Fortran this is simply a double precision array of dimension MAT_INFO_SIZE
430 
431    Level: intermediate
432 
433   Concepts: matrix^nonzero information
434 
435 .seealso:  MatGetInfo(), MatInfoType
436 S*/
437 typedef struct {
438   PetscLogDouble block_size;                         /* block size */
439   PetscLogDouble nz_allocated,nz_used,nz_unneeded;   /* number of nonzeros */
440   PetscLogDouble memory;                             /* memory allocated */
441   PetscLogDouble assemblies;                         /* number of matrix assemblies called */
442   PetscLogDouble mallocs;                            /* number of mallocs during MatSetValues() */
443   PetscLogDouble fill_ratio_given,fill_ratio_needed; /* fill ratio for LU/ILU */
444   PetscLogDouble factor_mallocs;                     /* number of mallocs during factorization */
445 } MatInfo;
446 
447 /*E
448     MatInfoType - Indicates if you want information about the local part of the matrix,
449      the entire parallel matrix or the maximum over all the local parts.
450 
451     Level: beginner
452 
453    Any additions/changes here MUST also be made in include/petsc-finclude/petscmat.h
454 
455 .seealso: MatGetInfo(), MatInfo
456 E*/
457 typedef enum {MAT_LOCAL=1,MAT_GLOBAL_MAX=2,MAT_GLOBAL_SUM=3} MatInfoType;
458 PETSC_EXTERN PetscErrorCode MatGetInfo(Mat,MatInfoType,MatInfo*);
459 PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat,Vec);
460 PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat,Vec,PetscInt[]);
461 PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat,Vec,PetscInt[]);
462 PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat,Vec,PetscInt[]);
463 PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat,Vec,PetscInt[]);
464 PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat,Vec);
465 PETSC_EXTERN PetscErrorCode MatTranspose(Mat,MatReuse,Mat*);
466 PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat,MatReuse,Mat*);
467 PETSC_EXTERN PetscErrorCode MatPermute(Mat,IS,IS,Mat *);
468 PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat,Vec,Vec);
469 PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat,Vec,InsertMode);
470 PETSC_EXTERN PetscErrorCode MatEqual(Mat,Mat,PetscBool *);
471 PETSC_EXTERN PetscErrorCode MatMultEqual(Mat,Mat,PetscInt,PetscBool *);
472 PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat,Mat,PetscInt,PetscBool *);
473 PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat,Mat,PetscInt,PetscBool *);
474 PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat,Mat,PetscInt,PetscBool *);
475 
476 PETSC_EXTERN PetscErrorCode MatNorm(Mat,NormType,PetscReal *);
477 PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat,NormType,PetscReal *);
478 PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
479 PETSC_EXTERN PetscErrorCode MatZeroRows(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
480 PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat,IS,PetscScalar,Vec,Vec);
481 PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat,PetscInt,const MatStencil [],PetscScalar,Vec,Vec);
482 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat,PetscInt,const MatStencil[],PetscScalar,Vec,Vec);
483 PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
484 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat,IS,PetscScalar,Vec,Vec);
485 
486 PETSC_EXTERN PetscErrorCode MatGetSize(Mat,PetscInt*,PetscInt*);
487 PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat,PetscInt*,PetscInt*);
488 PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat,PetscInt*,PetscInt*);
489 PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat,const PetscInt**);
490 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat,PetscInt*,PetscInt*);
491 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat,const PetscInt**);
492 PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat,IS*,IS*);
493 
494 PETSC_EXTERN PetscErrorCode MatGetSubMatrices(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
495 PETSC_EXTERN PetscErrorCode MatGetSubMatricesParallel(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
496 PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt,Mat *[]);
497 PETSC_EXTERN PetscErrorCode MatGetSubMatrix(Mat,IS,IS,MatReuse,Mat *);
498 PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat,IS,IS,Mat*);
499 PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat,IS,IS,Mat*);
500 PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat,Mat*);
501 PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat*);
502 
503 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm,Mat,PetscInt,PetscInt,MatReuse,Mat*);
504 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm,Mat,PetscInt,PetscInt,Mat*);
505 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat,Mat);
506 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat,MatReuse,Mat*);
507 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat,MatReuse,IS*,IS*,Mat*);
508 PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat,Mat,MatReuse,IS*,IS*,Mat*);
509 PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *,const PetscInt *[]);
510 
511 PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat,PetscInt,IS[],PetscInt);
512 
513 PETSC_EXTERN PetscErrorCode MatMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
514 PETSC_EXTERN PetscErrorCode MatMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
515 PETSC_EXTERN PetscErrorCode MatMatMultNumeric(Mat,Mat,Mat);
516 
517 PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
518 PETSC_EXTERN PetscErrorCode MatMatMatMultSymbolic(Mat,Mat,Mat,PetscReal,Mat*);
519 PETSC_EXTERN PetscErrorCode MatMatMatMultNumeric(Mat,Mat,Mat,Mat);
520 
521 PETSC_EXTERN PetscErrorCode MatPtAP(Mat,Mat,MatReuse,PetscReal,Mat*);
522 PETSC_EXTERN PetscErrorCode MatPtAPSymbolic(Mat,Mat,PetscReal,Mat*);
523 PETSC_EXTERN PetscErrorCode MatPtAPNumeric(Mat,Mat,Mat);
524 PETSC_EXTERN PetscErrorCode MatRARt(Mat,Mat,MatReuse,PetscReal,Mat*);
525 PETSC_EXTERN PetscErrorCode MatRARtSymbolic(Mat,Mat,PetscReal,Mat*);
526 PETSC_EXTERN PetscErrorCode MatRARtNumeric(Mat,Mat,Mat);
527 
528 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
529 PETSC_EXTERN PetscErrorCode MatTransposetMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
530 PETSC_EXTERN PetscErrorCode MatTransposetMatMultNumeric(Mat,Mat,Mat);
531 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat,Mat,MatReuse,PetscReal,Mat*);
532 PETSC_EXTERN PetscErrorCode MatMatTransposeMultSymbolic(Mat,Mat,PetscReal,Mat*);
533 PETSC_EXTERN PetscErrorCode MatMatTransposeMultNumeric(Mat,Mat,Mat);
534 
535 PETSC_EXTERN PetscErrorCode MatAXPY(Mat,PetscScalar,Mat,MatStructure);
536 PETSC_EXTERN PetscErrorCode MatAYPX(Mat,PetscScalar,Mat,MatStructure);
537 
538 PETSC_EXTERN PetscErrorCode MatScale(Mat,PetscScalar);
539 PETSC_EXTERN PetscErrorCode MatShift(Mat,PetscScalar);
540 
541 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
542 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
543 PETSC_EXTERN PetscErrorCode MatGetLayouts(Mat,PetscLayout*,PetscLayout*);
544 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
545 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
546 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
547 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
548 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
549 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
550 
551 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat,PetscInt,PetscInt);
552 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat,PetscInt*,PetscInt*,PetscInt*,PetscInt*);
553 
554 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat,Vec,Vec);
555 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat,Vec,Vec,Vec);
556 PETSC_EXTERN PetscErrorCode MatRestrict(Mat,Vec,Vec);
557 PETSC_EXTERN PetscErrorCode MatCreateVecs(Mat,Vec*,Vec*);
558 PETSC_DEPRECATED("Use MatCreateVecs()") PETSC_STATIC_INLINE PetscErrorCode MatGetVecs(Mat mat,Vec *x,Vec *y) {return MatCreateVecs(mat,x,y);}
559 PETSC_EXTERN PetscErrorCode MatCreateRedundantMatrix(Mat,PetscInt,MPI_Comm,MatReuse,Mat*);
560 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat,MPI_Comm,MatReuse,Mat*);
561 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat,IS*);
562 PETSC_EXTERN PetscErrorCode MatFindOffBlockDiagonalEntries(Mat,IS*);
563 PETSC_EXTERN PetscErrorCode MatCreateMPIMatConcatenateSeqMat(MPI_Comm,Mat,PetscInt,MatReuse,Mat*);
564 
565 /*MC
566    MatSetValue - Set a single entry into a matrix.
567 
568    Not collective
569 
570    Synopsis:
571      #include <petscmat.h>
572      PetscErrorCode MatSetValue(Mat m,PetscInt row,PetscInt col,PetscScalar value,InsertMode mode)
573 
574    Input Parameters:
575 +  m - the matrix
576 .  row - the row location of the entry
577 .  col - the column location of the entry
578 .  value - the value to insert
579 -  mode - either INSERT_VALUES or ADD_VALUES
580 
581    Notes:
582    For efficiency one should use MatSetValues() and set several or many
583    values simultaneously if possible.
584 
585    Level: beginner
586 
587 .seealso: MatSetValues(), MatSetValueLocal()
588 M*/
589 PETSC_STATIC_INLINE PetscErrorCode MatSetValue(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValues(v,1,&i,1,&j,&va,mode);}
590 
591 PETSC_STATIC_INLINE PetscErrorCode MatGetValue(Mat v,PetscInt i,PetscInt j,PetscScalar *va) {return MatGetValues(v,1,&i,1,&j,va);}
592 
593 PETSC_STATIC_INLINE PetscErrorCode MatSetValueLocal(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValuesLocal(v,1,&i,1,&j,&va,mode);}
594 
595 /*MC
596    MatPreallocateInitialize - Begins the block of code that will count the number of nonzeros per
597        row in a matrix providing the data that one can use to correctly preallocate the matrix.
598 
599    Synopsis:
600    #include <petscmat.h>
601    PetscErrorCode MatPreallocateInitialize(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
602 
603    Collective on MPI_Comm
604 
605    Input Parameters:
606 +  comm - the communicator that will share the eventually allocated matrix
607 .  nrows - the number of LOCAL rows in the matrix
608 -  ncols - the number of LOCAL columns in the matrix
609 
610    Output Parameters:
611 +  dnz - the array that will be passed to the matrix preallocation routines
612 -  ozn - the other array passed to the matrix preallocation routines
613 
614    Level: intermediate
615 
616    Notes:
617     See Users-Manual: ch_performance for more details.
618 
619    Do not malloc or free dnz and onz, that is handled internally by these routines
620 
621    Use MatPreallocateInitializeSymmetric() for symmetric matrices (MPISBAIJ matrices)
622 
623    This is a MACRO not a function because it has a leading { that is closed by PetscPreallocateFinalize().
624 
625   Concepts: preallocation^Matrix
626 
627 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
628           MatPreallocateInitializeSymmetric(), MatPreallocateSymmetricSetLocalBlock()
629 M*/
630 #define MatPreallocateInitialize(comm,nrows,ncols,dnz,onz) 0; \
631 { \
632   PetscErrorCode _4_ierr; PetscInt __nrows = (nrows),__ctmp = (ncols),__rstart,__start,__end; \
633   _4_ierr = PetscCalloc2(__nrows,&dnz,__nrows,&onz);CHKERRQ(_4_ierr); \
634   __start = 0; __end = __start;                                         \
635   _4_ierr = MPI_Scan(&__ctmp,&__end,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __start = __end - __ctmp;\
636   _4_ierr = MPI_Scan(&__nrows,&__rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __nrows;
637 
638 /*MC
639    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
640        inserted using a local number of the rows and columns
641 
642    Synopsis:
643    #include <petscmat.h>
644    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
645 
646    Not Collective
647 
648    Input Parameters:
649 +  map - the row mapping from local numbering to global numbering
650 .  nrows - the number of rows indicated
651 .  rows - the indices of the rows
652 .  cmap - the column mapping from local to global numbering
653 .  ncols - the number of columns in the matrix
654 .  cols - the columns indicated
655 .  dnz - the array that will be passed to the matrix preallocation routines
656 -  ozn - the other array passed to the matrix preallocation routines
657 
658    Level: intermediate
659 
660    Notes:
661     See Users-Manual: ch_performance for more details.
662 
663    Do not malloc or free dnz and onz, that is handled internally by these routines
664 
665   Concepts: preallocation^Matrix
666 
667 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
668           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock()
669 M*/
670 #define MatPreallocateSetLocal(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
671 {\
672   PetscInt __l;\
673   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
674   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
675   for (__l=0;__l<nrows;__l++) {\
676     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
677   }\
678 }
679 
680 /*MC
681    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
682        inserted using a local number of the rows and columns
683 
684    Synopsis:
685    #include <petscmat.h>
686    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
687 
688    Not Collective
689 
690    Input Parameters:
691 +  map - the row mapping from local numbering to global numbering
692 .  nrows - the number of rows indicated
693 .  rows - the indices of the rows
694 .  cmap - the column mapping from local to global numbering
695 .  ncols - the number of columns in the matrix
696 .  cols - the columns indicated
697 .  dnz - the array that will be passed to the matrix preallocation routines
698 -  ozn - the other array passed to the matrix preallocation routines
699 
700    Level: intermediate
701 
702    Notes:
703     See Users-Manual: ch_performance for more details.
704 
705    Do not malloc or free dnz and onz, that is handled internally by these routines
706 
707   Concepts: preallocation^Matrix
708 
709 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
710           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock()
711 M*/
712 #define MatPreallocateSetLocalBlock(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
713 {\
714   PetscInt __l;\
715   _4_ierr = ISLocalToGlobalMappingApplyBlock(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
716   _4_ierr = ISLocalToGlobalMappingApplyBlock(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
717   for (__l=0;__l<nrows;__l++) {\
718     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
719   }\
720 }
721 
722 /*MC
723    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
724        inserted using a local number of the rows and columns
725 
726    Synopsis:
727    #include <petscmat.h>
728    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
729 
730    Not Collective
731 
732    Input Parameters:
733 +  map - the mapping between local numbering and global numbering
734 .  nrows - the number of rows indicated
735 .  rows - the indices of the rows
736 .  ncols - the number of columns in the matrix
737 .  cols - the columns indicated
738 .  dnz - the array that will be passed to the matrix preallocation routines
739 -  ozn - the other array passed to the matrix preallocation routines
740 
741    Level: intermediate
742 
743    Notes:
744     See Users-Manual: ch_performance for more details.
745 
746    Do not malloc or free dnz and onz that is handled internally by these routines
747 
748   Concepts: preallocation^Matrix
749 
750 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateInitialize(),
751           MatPreallocateInitialize(),  MatPreallocateSetLocal()
752 M*/
753 #define MatPreallocateSymmetricSetLocalBlock(map,nrows,rows,ncols,cols,dnz,onz) 0;\
754 {\
755   PetscInt __l;\
756   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
757   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
758   for (__l=0;__l<nrows;__l++) {\
759     _4_ierr = MatPreallocateSymmetricSetBlock((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
760   }\
761 }
762 /*MC
763    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
764        inserted using a local number of the rows and columns
765 
766    Synopsis:
767    #include <petscmat.h>
768    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
769 
770    Not Collective
771 
772    Input Parameters:
773 +  row - the row
774 .  ncols - the number of columns in the matrix
775 -  cols - the columns indicated
776 
777    Output Parameters:
778 +  dnz - the array that will be passed to the matrix preallocation routines
779 -  ozn - the other array passed to the matrix preallocation routines
780 
781    Level: intermediate
782 
783    Notes:
784     See Users-Manual: ch_performance for more details.
785 
786    Do not malloc or free dnz and onz that is handled internally by these routines
787 
788    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
789 
790   Concepts: preallocation^Matrix
791 
792 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
793           MatPreallocateInitialize(), MatPreallocateSetLocal()
794 M*/
795 #define MatPreallocateSet(row,nc,cols,dnz,onz) 0;\
796 { PetscInt __i; \
797   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);\
798   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);\
799   for (__i=0; __i<nc; __i++) {\
800     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
801     else dnz[row - __rstart]++;\
802   }\
803 }
804 
805 /*MC
806    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
807        inserted using a local number of the rows and columns
808 
809    Synopsis:
810    #include <petscmat.h>
811    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
812 
813    Not Collective
814 
815    Input Parameters:
816 +  nrows - the number of rows indicated
817 .  rows - the indices of the rows
818 .  ncols - the number of columns in the matrix
819 .  cols - the columns indicated
820 .  dnz - the array that will be passed to the matrix preallocation routines
821 -  ozn - the other array passed to the matrix preallocation routines
822 
823    Level: intermediate
824 
825    Notes:
826     See Users-Manual: ch_performance for more details.
827 
828    Do not malloc or free dnz and onz that is handled internally by these routines
829 
830    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
831 
832   Concepts: preallocation^Matrix
833 
834 .seealso: MatPreallocateFinalize(), MatPreallocateSet(),  MatPreallocateInitialize(),
835           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
836 M*/
837 #define MatPreallocateSymmetricSetBlock(row,nc,cols,dnz,onz) 0;\
838 { PetscInt __i; \
839   for (__i=0; __i<nc; __i++) {\
840     if (cols[__i] >= __end) onz[row - __rstart]++; \
841     else if (cols[__i] >= row) dnz[row - __rstart]++;\
842   }\
843 }
844 
845 /*MC
846    MatPreallocateLocation -  An alternative to MatPreallocationSet() that puts the nonzero locations into the matrix if it exists
847 
848    Synopsis:
849    #include <petscmat.h>
850    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
851 
852    Not Collective
853 
854    Input Parameters:
855 .  A - matrix
856 .  row - row where values exist (must be local to this process)
857 .  ncols - number of columns
858 .  cols - columns with nonzeros
859 .  dnz - the array that will be passed to the matrix preallocation routines
860 -  ozn - the other array passed to the matrix preallocation routines
861 
862    Level: intermediate
863 
864    Notes:
865     See Users-Manual: ch_performance for more details.
866 
867    Do not malloc or free dnz and onz that is handled internally by these routines
868 
869    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
870 
871   Concepts: preallocation^Matrix
872 
873 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
874           MatPreallocateSymmetricSetLocalBlock()
875 M*/
876 #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);}
877 
878 
879 /*MC
880    MatPreallocateFinalize - Ends the block of code that will count the number of nonzeros per
881        row in a matrix providing the data that one can use to correctly preallocate the matrix.
882 
883    Synopsis:
884    #include <petscmat.h>
885    PetscErrorCode MatPreallocateFinalize(PetscInt *dnz, PetscInt *onz)
886 
887    Collective on MPI_Comm
888 
889    Input Parameters:
890 +  dnz - the array that was be passed to the matrix preallocation routines
891 -  ozn - the other array passed to the matrix preallocation routines
892 
893    Level: intermediate
894 
895    Notes:
896     See Users-Manual: ch_performance for more details.
897 
898    Do not malloc or free dnz and onz that is handled internally by these routines
899 
900    This is a MACRO not a function because it closes the { started in MatPreallocateInitialize().
901 
902   Concepts: preallocation^Matrix
903 
904 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
905           MatPreallocateSymmetricSetLocalBlock()
906 M*/
907 #define MatPreallocateFinalize(dnz,onz) 0;_4_ierr = PetscFree2(dnz,onz);CHKERRQ(_4_ierr);}
908 
909 /* Routines unique to particular data structures */
910 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat,void *);
911 
912 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat,IS*,IS*);
913 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat,PetscInt *,PetscInt *[],PetscInt *);
914 
915 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat,PetscInt[]);
916 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat,PetscInt[]);
917 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
918 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
919 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
920 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*,PetscInt,PetscBool);
921 
922 #define MAT_SKIP_ALLOCATION -4
923 
924 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
925 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
926 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat,PetscInt,const PetscInt[]);
927 
928 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
929 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
930 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
931 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat,const PetscInt [],const PetscInt [],const PetscScalar []);
932 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
933 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]);
934 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
935 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat,PetscInt[],PetscInt[],PetscInt[]);
936 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
937 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
938 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
939 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
940 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat,Mat*);
941 
942 PETSC_EXTERN PetscErrorCode MatISSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
943 PETSC_EXTERN PetscErrorCode MatSeqDenseSetLDA(Mat,PetscInt);
944 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat,Mat*);
945 
946 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
947 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
948 
949 PETSC_EXTERN PetscErrorCode MatDAADSetCtx(Mat,void*);
950 
951 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat,IS*);
952 /*
953   These routines are not usually accessed directly, rather solving is
954   done through the KSP and PC interfaces.
955 */
956 
957 /*J
958     MatOrderingType - String with the name of a PETSc matrix ordering
959 
960    Level: beginner
961 
962 .seealso: MatGetOrdering()
963 J*/
964 typedef const char* MatOrderingType;
965 #define MATORDERINGNATURAL     "natural"
966 #define MATORDERINGND          "nd"
967 #define MATORDERING1WD         "1wd"
968 #define MATORDERINGRCM         "rcm"
969 #define MATORDERINGQMD         "qmd"
970 #define MATORDERINGROWLENGTH   "rowlength"
971 #define MATORDERINGWBM         "wbm"
972 #define MATORDERINGSPECTRAL    "spectral"
973 #define MATORDERINGAMD         "amd"            /* only works if UMFPACK is installed with PETSc */
974 
975 PETSC_EXTERN PetscErrorCode MatGetOrdering(Mat,MatOrderingType,IS*,IS*);
976 PETSC_EXTERN PetscErrorCode MatGetOrderingList(PetscFunctionList*);
977 PETSC_EXTERN PetscErrorCode MatOrderingRegister(const char[],PetscErrorCode(*)(Mat,MatOrderingType,IS*,IS*));
978 PETSC_EXTERN PetscFunctionList MatOrderingList;
979 
980 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
981 PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat,PetscReal,PetscBool,Mat*);
982 
983 /*S
984     MatFactorShiftType - Numeric Shift.
985 
986    Level: beginner
987 
988 S*/
989 typedef enum {MAT_SHIFT_NONE,MAT_SHIFT_NONZERO,MAT_SHIFT_POSITIVE_DEFINITE,MAT_SHIFT_INBLOCKS} MatFactorShiftType;
990 PETSC_EXTERN const char *const MatFactorShiftTypes[];
991 PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];
992 
993 /*S
994    MatFactorInfo - Data passed into the matrix factorization routines
995 
996    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE, that is use
997 $     MatFactorInfo  info(MAT_FACTORINFO_SIZE)
998 
999    Notes: These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
1000 
1001       You can use MatFactorInfoInitialize() to set default values.
1002 
1003    Level: developer
1004 
1005 .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor(),
1006           MatFactorInfoInitialize()
1007 
1008 S*/
1009 typedef struct {
1010   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
1011   PetscReal     usedt;
1012   PetscReal     dt;             /* drop tolerance */
1013   PetscReal     dtcol;          /* tolerance for pivoting */
1014   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
1015   PetscReal     fill;           /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1016   PetscReal     levels;         /* ICC/ILU(levels) */
1017   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1018                                    factorization may be faster if do not pivot */
1019   PetscReal     zeropivot;      /* pivot is called zero if less than this */
1020   PetscReal     shifttype;      /* type of shift added to matrix factor to prevent zero pivots */
1021   PetscReal     shiftamount;     /* how large the shift is */
1022 } MatFactorInfo;
1023 
1024 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo*);
1025 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat,IS,const MatFactorInfo*);
1026 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1027 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat,Mat,const MatFactorInfo*);
1028 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat,IS,IS,const MatFactorInfo*);
1029 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat,IS,IS,const MatFactorInfo*);
1030 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1031 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1032 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1033 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat,IS,const MatFactorInfo*);
1034 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat,Mat,const MatFactorInfo*);
1035 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat,PetscInt*,PetscInt*,PetscInt*);
1036 PETSC_EXTERN PetscErrorCode MatSolve(Mat,Vec,Vec);
1037 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat,Vec,Vec);
1038 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat,Vec,Vec);
1039 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat,Vec,Vec,Vec);
1040 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat,Vec,Vec);
1041 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
1042 PETSC_EXTERN PetscErrorCode MatSolves(Mat,Vecs,Vecs);
1043 
1044 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
1045 
1046 /*E
1047     MatSORType - What type of (S)SOR to perform
1048 
1049     Level: beginner
1050 
1051    May be bitwise ORd together
1052 
1053    Any additions/changes here MUST also be made in include/petsc-finclude/petscmat.h
1054 
1055    MatSORType may be bitwise ORd together, so do not change the numbers
1056 
1057 .seealso: MatSOR()
1058 E*/
1059 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
1060               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
1061               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
1062               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
1063 PETSC_EXTERN PetscErrorCode MatSOR(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
1064 
1065 /*
1066     These routines are for efficiently computing Jacobians via finite differences.
1067 */
1068 
1069 /*S
1070      MatColoring - Object for managing the coloring of matrices.
1071 
1072    Level: beginner
1073 
1074   Concepts: matrix, coloring
1075 
1076 .seealso:  MatFDColoringCreate() ISColoring MatFDColoring
1077 S*/
1078 typedef struct _p_MatColoring* MatColoring;
1079 /*J
1080     MatColoringType - String with the name of a PETSc matrix coloring
1081 
1082    Level: beginner
1083 
1084 .seealso: MatColoringSetType(), MatColoring
1085 J*/
1086 
1087 typedef const  char*           MatColoringType;
1088 #define MATCOLORINGJP      "jp"
1089 #define MATCOLORINGPOWER   "power"
1090 #define MATCOLORINGNATURAL "natural"
1091 #define MATCOLORINGSL      "sl"
1092 #define MATCOLORINGLF      "lf"
1093 #define MATCOLORINGID      "id"
1094 #define MATCOLORINGGREEDY  "greedy"
1095 
1096 /*E
1097    MatColoringWeightType - Type of weight scheme
1098 
1099     Not Collective
1100 
1101 +   MAT_COLORING_RANDOM  - Random weights
1102 .   MAT_COLORING_LEXICAL - Lexical weighting based upon global numbering.
1103 -   MAT_COLORING_LF      - Last-first weighting.
1104 
1105     Level: intermediate
1106 
1107    Any additions/changes here MUST also be made in include/petsc-finclude/petscmat.h
1108 
1109 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1110 E*/
1111 typedef enum {MAT_COLORING_WEIGHT_RANDOM,MAT_COLORING_WEIGHT_LEXICAL,MAT_COLORING_WEIGHT_LF,MAT_COLORING_WEIGHT_SL} MatColoringWeightType;
1112 
1113 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat,MatColoring*);
1114 PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat,PetscInt,PetscInt*);
1115 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring*);
1116 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring,PetscViewer);
1117 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring,MatColoringType);
1118 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1119 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring,PetscInt);
1120 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring,PetscInt*);
1121 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring,PetscInt);
1122 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring,PetscInt*);
1123 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring,ISColoring*);
1124 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[],PetscErrorCode(*)(MatColoring));
1125 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat,PetscInt,PetscInt,ISColoringValue[],ISColoring*);
1126 PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring,MatColoringWeightType);
1127 PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring,PetscReal*,PetscInt*);
1128 PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring,PetscReal **,PetscInt **lperm);
1129 
1130 /*S
1131      MatFDColoring - Object for computing a sparse Jacobian via finite differences
1132         and coloring
1133 
1134    Level: beginner
1135 
1136   Concepts: coloring, sparse Jacobian, finite differences
1137 
1138 .seealso:  MatFDColoringCreate()
1139 S*/
1140 typedef struct _p_MatFDColoring* MatFDColoring;
1141 
1142 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
1143 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring*);
1144 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring,PetscViewer);
1145 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring,PetscErrorCode (*)(void),void*);
1146 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring,PetscErrorCode (**)(void),void**);
1147 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
1148 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1149 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat,MatFDColoring,Vec,void *);
1150 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring,Vec);
1151 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring,PetscInt*,PetscInt*[]);
1152 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat,ISColoring,MatFDColoring);
1153 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring,PetscInt,PetscInt);
1154 
1155 
1156 /*S
1157      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring
1158 
1159    Level: beginner
1160 
1161   Concepts: coloring, sparse matrix product
1162 
1163 .seealso:  MatTransposeColoringCreate()
1164 S*/
1165 typedef struct _p_MatTransposeColoring* MatTransposeColoring;
1166 
1167 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat,ISColoring,MatTransposeColoring *);
1168 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring,Mat,Mat);
1169 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring,Mat,Mat);
1170 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring*);
1171 
1172 /*
1173     These routines are for partitioning matrices: currently used only
1174   for adjacency matrix, MatCreateMPIAdj().
1175 */
1176 
1177 /*S
1178      MatPartitioning - Object for managing the partitioning of a matrix or graph
1179 
1180    Level: beginner
1181 
1182   Concepts: partitioning
1183 
1184 .seealso:  MatPartitioningCreate(), MatPartitioningType
1185 S*/
1186 typedef struct _p_MatPartitioning* MatPartitioning;
1187 
1188 /*J
1189     MatPartitioningType - String with the name of a PETSc matrix partitioning
1190 
1191    Level: beginner
1192 dm
1193 .seealso: MatPartitioningCreate(), MatPartitioning
1194 J*/
1195 typedef const char* MatPartitioningType;
1196 #define MATPARTITIONINGCURRENT  "current"
1197 #define MATPARTITIONINGSQUARE   "square"
1198 #define MATPARTITIONINGPARMETIS "parmetis"
1199 #define MATPARTITIONINGCHACO    "chaco"
1200 #define MATPARTITIONINGPARTY    "party"
1201 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1202 
1203 
1204 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1205 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning,MatPartitioningType);
1206 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning,PetscInt);
1207 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning,Mat);
1208 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning,const PetscInt[]);
1209 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1210 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning,IS*);
1211 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning*);
1212 
1213 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[],PetscErrorCode (*)(MatPartitioning));
1214 
1215 
1216 
1217 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning,PetscViewer);
1218 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1219 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
1220 
1221 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1222 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1223 
1224 typedef enum { MP_CHACO_MULTILEVEL=1,MP_CHACO_SPECTRAL=2,MP_CHACO_LINEAR=4,MP_CHACO_RANDOM=5,MP_CHACO_SCATTERED=6 } MPChacoGlobalType;
1225 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1226 typedef enum { MP_CHACO_KERNIGHAN=1,MP_CHACO_NONE=2 } MPChacoLocalType;
1227 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1228 typedef enum { MP_CHACO_LANCZOS=0,MP_CHACO_RQI=1 } MPChacoEigenType;
1229 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1230 
1231 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning,MPChacoGlobalType);
1232 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning,MPChacoGlobalType*);
1233 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning,MPChacoLocalType);
1234 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning,MPChacoLocalType*);
1235 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning,PetscReal);
1236 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning,MPChacoEigenType);
1237 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning,MPChacoEigenType*);
1238 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning,PetscReal);
1239 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning,PetscReal*);
1240 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning,PetscInt);
1241 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning,PetscInt*);
1242 
1243 #define MP_PARTY_OPT "opt"
1244 #define MP_PARTY_LIN "lin"
1245 #define MP_PARTY_SCA "sca"
1246 #define MP_PARTY_RAN "ran"
1247 #define MP_PARTY_GBF "gbf"
1248 #define MP_PARTY_GCF "gcf"
1249 #define MP_PARTY_BUB "bub"
1250 #define MP_PARTY_DEF "def"
1251 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning,const char*);
1252 #define MP_PARTY_HELPFUL_SETS "hs"
1253 #define MP_PARTY_KERNIGHAN_LIN "kl"
1254 #define MP_PARTY_NONE "no"
1255 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning,const char*);
1256 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning,PetscReal);
1257 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning,PetscBool);
1258 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning,PetscBool);
1259 
1260 typedef enum { MP_PTSCOTCH_QUALITY,MP_PTSCOTCH_SPEED,MP_PTSCOTCH_BALANCE,MP_PTSCOTCH_SAFETY,MP_PTSCOTCH_SCALABILITY } MPPTScotchStrategyType;
1261 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1262 
1263 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning,PetscReal);
1264 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning,PetscReal*);
1265 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning,MPPTScotchStrategyType);
1266 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning,MPPTScotchStrategyType*);
1267 
1268 /*
1269     These routines are for coarsening matrices:
1270 */
1271 
1272 /*S
1273      MatCoarsen - Object for managing the coarsening of a graph (symmetric matrix)
1274 
1275    Level: beginner
1276 
1277   Concepts: coarsen
1278 
1279 .seealso:  MatCoarsenCreate), MatCoarsenType
1280 S*/
1281 typedef struct _p_MatCoarsen* MatCoarsen;
1282 
1283 /*J
1284     MatCoarsenType - String with the name of a PETSc matrix coarsen
1285 
1286    Level: beginner
1287 
1288 .seealso: MatCoarsenCreate(), MatCoarsen
1289 J*/
1290 typedef const char* MatCoarsenType;
1291 #define MATCOARSENMIS  "mis"
1292 #define MATCOARSENHEM  "hem"
1293 
1294 /* linked list for aggregates */
1295 typedef struct _PetscCDIntNd{
1296   struct _PetscCDIntNd *next;
1297   PetscInt             gid;
1298 }PetscCDIntNd;
1299 
1300 /* only used by node pool */
1301 typedef struct _PetscCDArrNd{
1302   struct _PetscCDArrNd *next;
1303   struct _PetscCDIntNd *array;
1304 }PetscCDArrNd;
1305 
1306 typedef struct _PetscCoarsenData{
1307   PetscCDArrNd pool_list;  /* node pool */
1308   PetscCDIntNd *new_node;
1309   PetscInt     new_left;
1310   PetscInt     chk_sz;
1311   PetscCDIntNd *extra_nodes;
1312   PetscCDIntNd **array;  /* Array of lists */
1313   PetscInt     size;
1314   Mat          mat;  /* cache a Mat for communication data */
1315 }PetscCoarsenData;
1316 
1317 PETSC_EXTERN PetscErrorCode MatCoarsenCreate(MPI_Comm,MatCoarsen*);
1318 PETSC_EXTERN PetscErrorCode MatCoarsenSetType(MatCoarsen,MatCoarsenType);
1319 PETSC_EXTERN PetscErrorCode MatCoarsenSetAdjacency(MatCoarsen,Mat);
1320 PETSC_EXTERN PetscErrorCode MatCoarsenSetGreedyOrdering(MatCoarsen,const IS);
1321 PETSC_EXTERN PetscErrorCode MatCoarsenSetStrictAggs(MatCoarsen,PetscBool);
1322 PETSC_EXTERN PetscErrorCode MatCoarsenGetData( MatCoarsen, PetscCoarsenData ** );
1323 PETSC_EXTERN PetscErrorCode MatCoarsenApply(MatCoarsen);
1324 PETSC_EXTERN PetscErrorCode MatCoarsenDestroy(MatCoarsen*);
1325 
1326 PETSC_EXTERN PetscErrorCode MatCoarsenRegister(const char[],PetscErrorCode (*)(MatCoarsen));
1327 
1328 
1329 
1330 PETSC_EXTERN PetscErrorCode MatCoarsenView(MatCoarsen,PetscViewer);
1331 PETSC_EXTERN PetscErrorCode MatCoarsenSetFromOptions(MatCoarsen);
1332 PETSC_EXTERN PetscErrorCode MatCoarsenGetType(MatCoarsen,MatCoarsenType*);
1333 PETSC_STATIC_INLINE PetscErrorCode MatCoarsenViewFromOptions(MatCoarsen A,const char prefix[],const char name[]) {return PetscObjectViewFromOptions((PetscObject)A,prefix,name);}
1334 
1335 PETSC_EXTERN PetscErrorCode MatMeshToVertexGraph(Mat,PetscInt,Mat*);
1336 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat,PetscInt,Mat*);
1337 
1338 /*
1339     If you add entries here you must also add them to petsc-finclude/petscmat.h
1340 */
1341 typedef enum { MATOP_SET_VALUES=0,
1342                MATOP_GET_ROW=1,
1343                MATOP_RESTORE_ROW=2,
1344                MATOP_MULT=3,
1345                MATOP_MULT_ADD=4,
1346                MATOP_MULT_TRANSPOSE=5,
1347                MATOP_MULT_TRANSPOSE_ADD=6,
1348                MATOP_SOLVE=7,
1349                MATOP_SOLVE_ADD=8,
1350                MATOP_SOLVE_TRANSPOSE=9,
1351                MATOP_SOLVE_TRANSPOSE_ADD=10,
1352                MATOP_LUFACTOR=11,
1353                MATOP_CHOLESKYFACTOR=12,
1354                MATOP_SOR=13,
1355                MATOP_TRANSPOSE=14,
1356                MATOP_GETINFO=15,
1357                MATOP_EQUAL=16,
1358                MATOP_GET_DIAGONAL=17,
1359                MATOP_DIAGONAL_SCALE=18,
1360                MATOP_NORM=19,
1361                MATOP_ASSEMBLY_BEGIN=20,
1362                MATOP_ASSEMBLY_END=21,
1363                MATOP_SET_OPTION=22,
1364                MATOP_ZERO_ENTRIES=23,
1365                MATOP_ZERO_ROWS=24,
1366                MATOP_LUFACTOR_SYMBOLIC=25,
1367                MATOP_LUFACTOR_NUMERIC=26,
1368                MATOP_CHOLESKY_FACTOR_SYMBOLIC=27,
1369                MATOP_CHOLESKY_FACTOR_NUMERIC=28,
1370                MATOP_SETUP_PREALLOCATION=29,
1371                MATOP_ILUFACTOR_SYMBOLIC=30,
1372                MATOP_ICCFACTOR_SYMBOLIC=31,
1373                /* MATOP_PLACEHOLDER_32=32, */
1374                /* MATOP_PLACEHOLDER_33=33, */
1375                MATOP_DUPLICATE=34,
1376                MATOP_FORWARD_SOLVE=35,
1377                MATOP_BACKWARD_SOLVE=36,
1378                MATOP_ILUFACTOR=37,
1379                MATOP_ICCFACTOR=38,
1380                MATOP_AXPY=39,
1381                MATOP_GET_SUBMATRICES=40,
1382                MATOP_INCREASE_OVERLAP=41,
1383                MATOP_GET_VALUES=42,
1384                MATOP_COPY=43,
1385                MATOP_GET_ROW_MAX=44,
1386                MATOP_SCALE=45,
1387                MATOP_SHIFT=46,
1388                MATOP_DIAGONAL_SET=47,
1389                MATOP_ZERO_ROWS_COLUMNS=48,
1390                MATOP_SET_RANDOM=49,
1391                MATOP_GET_ROW_IJ=50,
1392                MATOP_RESTORE_ROW_IJ=51,
1393                MATOP_GET_COLUMN_IJ=52,
1394                MATOP_RESTORE_COLUMN_IJ=53,
1395                MATOP_FDCOLORING_CREATE=54,
1396                MATOP_COLORING_PATCH=55,
1397                MATOP_SET_UNFACTORED=56,
1398                MATOP_PERMUTE=57,
1399                MATOP_SET_VALUES_BLOCKED=58,
1400                MATOP_GET_SUBMATRIX=59,
1401                MATOP_DESTROY=60,
1402                MATOP_VIEW=61,
1403                MATOP_CONVERT_FROM=62,
1404                MATOP_MATMAT_MULT=63,
1405                MATOP_MATMAT_MULT_SYMBOLIC=64,
1406                MATOP_MATMAT_MULT_NUMERIC=65,
1407                MATOP_SET_LOCAL_TO_GLOBAL_MAP=66,
1408                MATOP_SET_VALUES_LOCAL=67,
1409                MATOP_ZERO_ROWS_LOCAL=68,
1410                MATOP_GET_ROW_MAX_ABS=69,
1411                MATOP_GET_ROW_MIN_ABS=70,
1412                MATOP_CONVERT=71,
1413                MATOP_SET_COLORING=72,
1414                /* MATOP_PLACEHOLDER_73=73, */
1415                MATOP_SET_VALUES_ADIFOR=74,
1416                MATOP_FD_COLORING_APPLY=75,
1417                MATOP_SET_FROM_OPTIONS=76,
1418                MATOP_MULT_CONSTRAINED=77,
1419                MATOP_MULT_TRANSPOSE_CONSTRAIN=78,
1420                MATOP_FIND_ZERO_DIAGONALS=79,
1421                MATOP_MULT_MULTIPLE=80,
1422                MATOP_SOLVE_MULTIPLE=81,
1423                MATOP_GET_INERTIA=82,
1424                MATOP_LOAD=83,
1425                MATOP_IS_SYMMETRIC=84,
1426                MATOP_IS_HERMITIAN=85,
1427                MATOP_IS_STRUCTURALLY_SYMMETRIC=86,
1428                MATOP_SET_VALUES_BLOCKEDLOCAL=87,
1429                MATOP_GET_VECS=88,
1430                MATOP_MAT_MULT=89,
1431                MATOP_MAT_MULT_SYMBOLIC=90,
1432                MATOP_MAT_MULT_NUMERIC=91,
1433                MATOP_PTAP=92,
1434                MATOP_PTAP_SYMBOLIC=93,
1435                MATOP_PTAP_NUMERIC=94,
1436                MATOP_MAT_TRANSPOSE_MULT=95,
1437                MATOP_MAT_TRANSPOSE_MULT_SYMBO=96,
1438                MATOP_MAT_TRANSPOSE_MULT_NUMER=97,
1439                /* MATOP_PLACEHOLDER_98=98, */
1440                /* MATOP_PLACEHOLDER_99=99, */
1441                /* MATOP_PLACEHOLDER_100=100, */
1442                /* MATOP_PLACEHOLDER_101=101, */
1443                MATOP_CONJUGATE=102,
1444                /* MATOP_PLACEHOLDER_103=103, */
1445                MATOP_SET_VALUES_ROW=104,
1446                MATOP_REAL_PART=105,
1447                MATOP_IMAGINARY_PART=106,
1448                MATOP_GET_ROW_UPPER_TRIANGULAR=107,
1449                MATOP_RESTORE_ROW_UPPER_TRIANG=108,
1450                MATOP_MAT_SOLVE=109,
1451                MATOP_GET_REDUNDANT_MATRIX=110,
1452                MATOP_GET_ROW_MIN=111,
1453                MATOP_GET_COLUMN_VECTOR=112,
1454                MATOP_MISSING_DIAGONAL=113,
1455                MATOP_GET_SEQ_NONZERO_STRUCTUR=114,
1456                MATOP_CREATE=115,
1457                MATOP_GET_GHOSTS=116,
1458                MATOP_GET_LOCAL_SUB_MATRIX=117,
1459                MATOP_RESTORE_LOCALSUB_MATRIX=118,
1460                MATOP_MULT_DIAGONAL_BLOCK=119,
1461                MATOP_HERMITIAN_TRANSPOSE=120,
1462                MATOP_MULT_HERMITIAN_TRANSPOSE=121,
1463                MATOP_MULT_HERMITIAN_TRANS_ADD=122,
1464                MATOP_GET_MULTI_PROC_BLOCK=123,
1465                MATOP_FIND_NONZERO_ROWS=124,
1466                MATOP_GET_COLUMN_NORMS=125,
1467                MATOP_INVERT_BLOCK_DIAGONAL=126,
1468                /* MATOP_PLACEHOLDER_127=127, */
1469                MATOP_GET_SUB_MATRICES_PARALLE=128,
1470                MATOP_SET_VALUES_BATCH=129,
1471                MATOP_TRANSPOSE_MAT_MULT=130,
1472                MATOP_TRANSPOSE_MAT_MULT_SYMBO=131,
1473                MATOP_TRANSPOSE_MAT_MULT_NUMER=132,
1474                MATOP_TRANSPOSE_COLORING_CREAT=133,
1475                MATOP_TRANS_COLORING_APPLY_SPT=134,
1476                MATOP_TRANS_COLORING_APPLY_DEN=135,
1477                MATOP_RART=136,
1478                MATOP_RART_SYMBOLIC=137,
1479                MATOP_RART_NUMERIC=138,
1480                MATOP_SET_BLOCK_SIZES=139,
1481                MATOP_AYPX=140,
1482                MATOP_RESIDUAL=141,
1483                MATOP_FDCOLORING_SETUP=142,
1484                MATOP_MPICONCATENATESEQ=144
1485              } MatOperation;
1486 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat,MatOperation,PetscBool *);
1487 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat,MatOperation,void(*)(void));
1488 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat,MatOperation,void(**)(void));
1489 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat,void*);
1490 
1491 /*
1492    Codes for matrices stored on disk. By default they are
1493    stored in a universal format. By changing the format with
1494    PetscViewerSetFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
1495    be stored in a way natural for the matrix, for example dense matrices
1496    would be stored as dense. Matrices stored this way may only be
1497    read into matrices of the same type.
1498 */
1499 #define MATRIX_BINARY_FORMAT_DENSE -1
1500 
1501 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1502 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat,Mat*);
1503 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat,Mat);
1504 PETSC_EXTERN PetscErrorCode MatISGetMPIXAIJ(Mat,MatReuse,Mat*);
1505 
1506 /*S
1507      MatNullSpace - Object that removes a null space from a vector, i.e.
1508          orthogonalizes the vector to a subsapce
1509 
1510    Level: advanced
1511 
1512   Concepts: matrix; linear operator, null space
1513 
1514   Users manual sections:
1515 .   sec_singular
1516 
1517 .seealso:  MatNullSpaceCreate()
1518 S*/
1519 typedef struct _p_MatNullSpace* MatNullSpace;
1520 
1521 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm,PetscBool ,PetscInt,const Vec[],MatNullSpace*);
1522 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace,PetscErrorCode (*)(MatNullSpace,Vec,void*),void*);
1523 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace*);
1524 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace,Vec);
1525 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
1526 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat,MatNullSpace);
1527 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat,MatNullSpace);
1528 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat,MatNullSpace*);
1529 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace,Mat,PetscBool  *);
1530 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace,PetscViewer);
1531 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace,PetscBool*,PetscInt*,const Vec**);
1532 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec,MatNullSpace*);
1533 
1534 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat,IS);
1535 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1536 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat,PetscInt *);
1537 PETSC_EXTERN PetscErrorCode MatSeqBAIJInvertBlockDiagonal(Mat);
1538 
1539 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat,PetscInt,Mat*);
1540 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat,PetscInt,Mat*);
1541 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat,Mat*);
1542 
1543 PETSC_EXTERN PetscErrorCode MatComputeExplicitOperator(Mat,Mat*);
1544 
1545 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat,Vec);
1546 
1547 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
1548 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat,Vec,Vec);
1549 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat,PetscErrorCode(*)(void*,Vec,Vec),void*);
1550 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat,PetscErrorCode (*)(void*,PetscInt,Vec,PetscScalar*));
1551 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat,PetscErrorCode (*)(void*,Vec));
1552 PETSC_EXTERN PetscErrorCode MatMFFDAddNullSpace(Mat,MatNullSpace);
1553 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat,PetscScalar[],PetscInt);
1554 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
1555 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat,PetscReal);
1556 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat,PetscInt);
1557 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat,PetscScalar *);
1558 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat,const char[]);
1559 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void*,Vec,Vec,PetscScalar*);
1560 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat,PetscErrorCode (*)(void*,Vec,Vec,PetscScalar*),void*);
1561 
1562 /*S
1563     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
1564               Jacobian vector products
1565 
1566     Notes: MATMFFD is a specific MatType which uses the MatMFFD data structure
1567 
1568            MatMFFD*() methods actually take the Mat as their first argument. Not a MatMFFD data structure
1569 
1570     Level: developer
1571 
1572 .seealso: MATMFFD, MatCreateMFFD(), MatMFFDSetFuction(), MatMFFDSetType(), MatMFFDRegister()
1573 S*/
1574 typedef struct _p_MatMFFD* MatMFFD;
1575 
1576 /*J
1577     MatMFFDType - algorithm used to compute the h used in computing matrix-vector products via differencing of the function
1578 
1579    Level: beginner
1580 
1581 .seealso: MatMFFDSetType(), MatMFFDRegister()
1582 J*/
1583 typedef const char* MatMFFDType;
1584 #define MATMFFD_DS  "ds"
1585 #define MATMFFD_WP  "wp"
1586 
1587 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat,MatMFFDType);
1588 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[],PetscErrorCode (*)(MatMFFD));
1589 
1590 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat,PetscReal);
1591 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat,PetscBool );
1592 
1593 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
1594 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
1595 
1596 /*
1597    PETSc interface to MUMPS
1598 */
1599 #ifdef PETSC_HAVE_MUMPS
1600 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat,PetscInt,PetscInt);
1601 PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat,PetscInt,PetscInt*);
1602 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat,PetscInt,PetscReal);
1603 PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat,PetscInt,PetscReal*);
1604 
1605 PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat,PetscInt,PetscInt*);
1606 PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat,PetscInt,PetscInt*);
1607 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat,PetscInt,PetscReal*);
1608 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat,PetscInt,PetscReal*);
1609 #endif
1610 
1611 /*
1612    PETSc interface to Mkl_Pardiso
1613 */
1614 #ifdef PETSC_HAVE_MKL_PARDISO
1615 PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat,PetscInt,PetscInt);
1616 #endif
1617 
1618 /*
1619    PETSc interface to Mkl_CPardiso
1620 */
1621 #ifdef PETSC_HAVE_MKL_CPARDISO
1622 PETSC_EXTERN PetscErrorCode MatMkl_CPardisoSetCntl(Mat,PetscInt,PetscInt);
1623 #endif
1624 
1625 /*
1626    PETSc interface to SUPERLU
1627 */
1628 #ifdef PETSC_HAVE_SUPERLU
1629 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat,PetscReal);
1630 #endif
1631 
1632 #ifdef PETSC_HAVE_CUDA
1633 /*E
1634     MatCUSPARSEStorageFormat - indicates the storage format for CUSPARSE (GPU)
1635     matrices.
1636 
1637     Not Collective
1638 
1639 +   MAT_CUSPARSE_CSR - Compressed Sparse Row
1640 .   MAT_CUSPARSE_ELL - Ellpack (requires CUDA 4.2 or later).
1641 -   MAT_CUSPARSE_HYB - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
1642 
1643     Level: intermediate
1644 
1645    Any additions/changes here MUST also be made in include/petsc-finclude/petscmat.h
1646 
1647 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEFormatOperation
1648 E*/
1649 
1650 typedef enum {MAT_CUSPARSE_CSR, MAT_CUSPARSE_ELL, MAT_CUSPARSE_HYB} MatCUSPARSEStorageFormat;
1651 
1652 /* these will be strings associated with enumerated type defined above */
1653 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
1654 
1655 /*E
1656     MatCUSPARSEFormatOperation - indicates the operation of CUSPARSE (GPU)
1657     matrices whose operation should use a particular storage format.
1658 
1659     Not Collective
1660 
1661 +   MAT_CUSPARSE_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1662 .   MAT_CUSPARSE_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1663 .   MAT_CUSPARSE_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1664 -   MAT_CUSPARSE_ALL - sets the storage format for all CUSPARSE (GPU) matrices
1665 
1666     Level: intermediate
1667 
1668 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEStorageFormat
1669 E*/
1670 typedef enum {MAT_CUSPARSE_MULT_DIAG, MAT_CUSPARSE_MULT_OFFDIAG, MAT_CUSPARSE_MULT, MAT_CUSPARSE_ALL} MatCUSPARSEFormatOperation;
1671 
1672 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1673 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1674 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat,MatCUSPARSEFormatOperation,MatCUSPARSEStorageFormat);
1675 #endif
1676 
1677 #if defined(PETSC_HAVE_CUSP)
1678 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1679 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1680 
1681 /*E
1682     MatCUSPStorageFormat - indicates the storage format for CUSP (GPU)
1683     matrices.
1684 
1685     Not Collective
1686 
1687 +   MAT_CUSP_CSR - Compressed Sparse Row
1688 .   MAT_CUSP_DIA - Diagonal
1689 -   MAT_CUSP_ELL - Ellpack
1690 
1691     Level: intermediate
1692 
1693    Any additions/changes here MUST also be made in include/petsc-finclude/petscmat.h
1694 
1695 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1696 E*/
1697 typedef enum {MAT_CUSP_CSR, MAT_CUSP_DIA, MAT_CUSP_ELL} MatCUSPStorageFormat;
1698 
1699 /* these will be strings associated with enumerated type defined above */
1700 PETSC_EXTERN const char *const MatCUSPStorageFormats[];
1701 
1702 /*E
1703     MatCUSPFormatOperation - indicates the operation of CUSP (GPU)
1704     matrices whose operation should use a particular storage format.
1705 
1706     Not Collective
1707 
1708 +   MAT_CUSP_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1709 .   MAT_CUSP_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1710 .   MAT_CUSP_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1711 -   MAT_CUSP_ALL - sets the storage format for all CUSP (GPU) matrices
1712 
1713     Level: intermediate
1714 
1715    Any additions/changes here MUST also be made in include/petsc-finclude/petscmat.h
1716 
1717 .seealso: MatCUSPSetFormat(), MatCUSPStorageFormat
1718 E*/
1719 typedef enum {MAT_CUSP_MULT_DIAG, MAT_CUSP_MULT_OFFDIAG, MAT_CUSP_MULT, MAT_CUSP_ALL} MatCUSPFormatOperation;
1720 
1721 PETSC_EXTERN PetscErrorCode MatCUSPSetFormat(Mat,MatCUSPFormatOperation,MatCUSPStorageFormat);
1722 #endif
1723 
1724 #if defined(PETSC_HAVE_VIENNACL)
1725 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1726 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1727 #endif
1728 
1729 /*
1730    PETSc interface to FFTW
1731 */
1732 #if defined(PETSC_HAVE_FFTW)
1733 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat,Vec,Vec);
1734 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat,Vec,Vec);
1735 PETSC_EXTERN PetscErrorCode MatCreateVecsFFTW(Mat,Vec*,Vec*,Vec*);
1736 #endif
1737 
1738 /*
1739    PETSc interface to ELEMENTAL
1740 */
1741 #if defined(PETSC_HAVE_ELEMENTAL)
1742 #if defined(PETSC_USE_COMPLEX)
1743 typedef El::Complex<PetscReal> PetscElemScalar;
1744 #else
1745 typedef PetscScalar PetscElemScalar;
1746 #endif
1747 PETSC_EXTERN PetscErrorCode PetscElementalInitializePackage(void);
1748 PETSC_EXTERN PetscErrorCode PetscElementalFinalizePackage(void);
1749 #endif
1750 
1751 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm,PetscInt,const IS[],PetscInt,const IS[],const Mat[],Mat*);
1752 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat,PetscInt*,PetscInt*);
1753 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat,IS[],IS[]);
1754 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat,IS[],IS[]);
1755 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat,PetscInt*,PetscInt*,Mat***);
1756 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat,PetscInt,PetscInt,Mat*);
1757 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat,VecType);
1758 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat,PetscInt,const IS[],PetscInt,const IS[],const Mat[]);
1759 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat,PetscInt,PetscInt,Mat);
1760 
1761 PETSC_EXTERN PetscErrorCode MatChop(Mat,PetscReal);
1762 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat,PetscReal,PetscInt*);
1763 
1764 #endif
1765