xref: /petsc/include/petscmat.h (revision a44bcdf57b2bdc3efd71d40abec79a20d8d3f002) !
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 MATNORMALHERMITIAN "normalh"
75 #define MATLRC             "lrc"
76 #define MATSCATTER         "scatter"
77 #define MATBLOCKMAT        "blockmat"
78 #define MATCOMPOSITE       "composite"
79 #define MATFFT             "fft"
80 #define MATFFTW            "fftw"
81 #define MATSEQCUFFT        "seqcufft"
82 #define MATTRANSPOSEMAT    "transpose"
83 #define MATSCHURCOMPLEMENT "schurcomplement"
84 #define MATPYTHON          "python"
85 #define MATHYPRESTRUCT     "hyprestruct"
86 #define MATHYPRESSTRUCT    "hypresstruct"
87 #define MATSUBMATRIX       "submatrix"
88 #define MATLOCALREF        "localref"
89 #define MATNEST            "nest"
90 
91 /*J
92     MatSolverPackage - String with the name of a PETSc matrix solver type.
93 
94     For example: "petsc" indicates what PETSc provides, "superlu_dist" the parallel SuperLU_DIST package etc
95 
96    Level: beginner
97 
98 .seealso: MatGetFactor(), Mat, MatSetType(), MatType
99 J*/
100 #define MatSolverPackage char*
101 #define MATSOLVERSUPERLU      "superlu"
102 #define MATSOLVERSUPERLU_DIST "superlu_dist"
103 #define MATSOLVERUMFPACK      "umfpack"
104 #define MATSOLVERCHOLMOD      "cholmod"
105 #define MATSOLVERESSL         "essl"
106 #define MATSOLVERLUSOL        "lusol"
107 #define MATSOLVERMUMPS        "mumps"
108 #define MATSOLVERMKL_PARDISO  "mkl_pardiso"
109 #define MATSOLVERMKL_CPARDISO "mkl_cpardiso"
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/petsc/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 PETSC_EXTERN PetscErrorCode MatSolverPackageRegister(const MatSolverPackage,const MatType,MatFactorType,PetscErrorCode(*)(Mat,MatFactorType,Mat*));
138 PETSC_EXTERN PetscErrorCode MatSolverPackageGet(const MatSolverPackage,const MatType,MatFactorType,PetscBool*,PetscBool*,PetscErrorCode (**)(Mat,MatFactorType,Mat*));
139 
140 /* Logging support */
141 #define    MAT_FILE_CLASSID 1211216    /* used to indicate matrices in binary files */
142 PETSC_EXTERN PetscClassId MAT_CLASSID;
143 PETSC_EXTERN PetscClassId MAT_COLORING_CLASSID;
144 PETSC_EXTERN PetscClassId MAT_FDCOLORING_CLASSID;
145 PETSC_EXTERN PetscClassId MAT_TRANSPOSECOLORING_CLASSID;
146 PETSC_EXTERN PetscClassId MAT_PARTITIONING_CLASSID;
147 PETSC_EXTERN PetscClassId MAT_COARSEN_CLASSID;
148 PETSC_EXTERN PetscClassId MAT_NULLSPACE_CLASSID;
149 PETSC_EXTERN PetscClassId MATMFFD_CLASSID;
150 
151 /*E
152     MatReuse - Indicates if matrices obtained from a previous call to MatGetSubMatrices()
153      or MatGetSubMatrix() are to be reused to store the new matrix values. For MatConvert() is used to indicate
154      that the input matrix is to be replaced with the converted matrix.
155 
156     Level: beginner
157 
158    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
159 
160 .seealso: MatGetSubMatrices(), MatGetSubMatrix(), MatDestroyMatrices(), MatConvert()
161 E*/
162 typedef enum {MAT_INITIAL_MATRIX,MAT_REUSE_MATRIX,MAT_IGNORE_MATRIX} MatReuse;
163 
164 /*E
165     MatGetSubMatrixOption - Indicates if matrices obtained from a call to MatGetSubMatrices()
166      include the matrix values. Currently it is only used by MatGetSeqNonzerostructure().
167 
168     Level: beginner
169 
170 .seealso: MatGetSeqNonzerostructure()
171 E*/
172 typedef enum {MAT_DO_NOT_GET_VALUES,MAT_GET_VALUES} MatGetSubMatrixOption;
173 
174 PETSC_EXTERN PetscErrorCode MatInitializePackage(void);
175 
176 PETSC_EXTERN PetscErrorCode MatCreate(MPI_Comm,Mat*);
177 PETSC_EXTERN PetscErrorCode MatSetSizes(Mat,PetscInt,PetscInt,PetscInt,PetscInt);
178 PETSC_EXTERN PetscErrorCode MatSetType(Mat,MatType);
179 PETSC_EXTERN PetscErrorCode MatSetFromOptions(Mat);
180 PETSC_STATIC_INLINE PetscErrorCode MatViewFromOptions(Mat A,PetscObject obj,const char name[]) {return PetscObjectViewFromOptions((PetscObject)A,obj,name);}
181 PETSC_EXTERN PetscErrorCode MatRegister(const char[],PetscErrorCode(*)(Mat));
182 PETSC_EXTERN PetscErrorCode MatRegisterBaseName(const char[],const char[],const char[]);
183 PETSC_EXTERN PetscErrorCode MatSetOptionsPrefix(Mat,const char[]);
184 PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefix(Mat,const char[]);
185 PETSC_EXTERN PetscErrorCode MatGetOptionsPrefix(Mat,const char*[]);
186 PETSC_EXTERN PetscErrorCode MatSetErrorIfFPE(Mat,PetscBool);
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 MatCreateNormalHermitian(Mat,Mat*);
227 PETSC_EXTERN PetscErrorCode MatCreateLRC(Mat,Mat,Mat,Mat*);
228 PETSC_EXTERN PetscErrorCode MatCreateIS(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,ISLocalToGlobalMapping,ISLocalToGlobalMapping,Mat*);
229 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
230 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
231 
232 PETSC_EXTERN PetscErrorCode MatCreateSeqBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
233 PETSC_EXTERN PetscErrorCode MatCreateMPIBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
234 PETSC_EXTERN PetscErrorCode MatCreateSeqSBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
235 PETSC_EXTERN PetscErrorCode MatCreateMPISBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
236 
237 PETSC_EXTERN PetscErrorCode MatCreateScatter(MPI_Comm,VecScatter,Mat*);
238 PETSC_EXTERN PetscErrorCode MatScatterSetVecScatter(Mat,VecScatter);
239 PETSC_EXTERN PetscErrorCode MatScatterGetVecScatter(Mat,VecScatter*);
240 PETSC_EXTERN PetscErrorCode MatCreateBlockMat(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt*,Mat*);
241 PETSC_EXTERN PetscErrorCode MatCompositeAddMat(Mat,Mat);
242 PETSC_EXTERN PetscErrorCode MatCompositeMerge(Mat);
243 PETSC_EXTERN PetscErrorCode MatCreateComposite(MPI_Comm,PetscInt,const Mat*,Mat*);
244 typedef enum {MAT_COMPOSITE_ADDITIVE,MAT_COMPOSITE_MULTIPLICATIVE} MatCompositeType;
245 PETSC_EXTERN PetscErrorCode MatCompositeSetType(Mat,MatCompositeType);
246 
247 PETSC_EXTERN PetscErrorCode MatCreateFFT(MPI_Comm,PetscInt,const PetscInt[],MatType,Mat*);
248 PETSC_EXTERN PetscErrorCode MatCreateSeqCUFFT(MPI_Comm,PetscInt,const PetscInt[],Mat*);
249 
250 PETSC_EXTERN PetscErrorCode MatCreateTranspose(Mat,Mat*);
251 PETSC_EXTERN PetscErrorCode MatCreateHermitianTranspose(Mat,Mat*);
252 PETSC_EXTERN PetscErrorCode MatCreateSubMatrix(Mat,IS,IS,Mat*);
253 PETSC_EXTERN PetscErrorCode MatSubMatrixUpdate(Mat,Mat,IS,IS);
254 PETSC_EXTERN PetscErrorCode MatCreateLocalRef(Mat,IS,IS,Mat*);
255 
256 PETSC_EXTERN PetscErrorCode MatPythonSetType(Mat,const char[]);
257 
258 PETSC_EXTERN PetscErrorCode MatSetUp(Mat);
259 PETSC_EXTERN PetscErrorCode MatDestroy(Mat*);
260 PETSC_EXTERN PetscErrorCode MatGetNonzeroState(Mat,PetscObjectState*);
261 
262 PETSC_EXTERN PetscErrorCode MatConjugate(Mat);
263 PETSC_EXTERN PetscErrorCode MatRealPart(Mat);
264 PETSC_EXTERN PetscErrorCode MatImaginaryPart(Mat);
265 PETSC_EXTERN PetscErrorCode MatGetDiagonalBlock(Mat,Mat*);
266 PETSC_EXTERN PetscErrorCode MatGetTrace(Mat,PetscScalar*);
267 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonal(Mat,const PetscScalar **);
268 
269 /* ------------------------------------------------------------*/
270 PETSC_EXTERN PetscErrorCode MatSetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
271 PETSC_EXTERN PetscErrorCode MatSetValuesBlocked(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
272 PETSC_EXTERN PetscErrorCode MatSetValuesRow(Mat,PetscInt,const PetscScalar[]);
273 PETSC_EXTERN PetscErrorCode MatSetValuesRowLocal(Mat,PetscInt,const PetscScalar[]);
274 PETSC_EXTERN PetscErrorCode MatSetValuesBatch(Mat,PetscInt,PetscInt,PetscInt[],const PetscScalar[]);
275 PETSC_EXTERN PetscErrorCode MatSetRandom(Mat,PetscRandom);
276 
277 /*S
278      MatStencil - Data structure (C struct) for storing information about a single row or
279         column of a matrix as indexed on an associated grid.
280 
281    Fortran usage is different, see MatSetValuesStencil() for details.
282 
283    Level: beginner
284 
285   Concepts: matrix; linear operator
286 
287 .seealso:  MatSetValuesStencil(), MatSetStencil(), MatSetValuesBlockedStencil()
288 S*/
289 typedef struct {
290   PetscInt k,j,i,c;
291 } MatStencil;
292 
293 PETSC_EXTERN PetscErrorCode MatSetValuesStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
294 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
295 PETSC_EXTERN PetscErrorCode MatSetStencil(Mat,PetscInt,const PetscInt[],const PetscInt[],PetscInt);
296 
297 PETSC_EXTERN PetscErrorCode MatSetColoring(Mat,ISColoring);
298 PETSC_EXTERN PetscErrorCode MatSetValuesAdifor(Mat,PetscInt,void*);
299 
300 /*E
301     MatAssemblyType - Indicates if the matrix is now to be used, or if you plan
302      to continue to add values to it
303 
304     Level: beginner
305 
306 .seealso: MatAssemblyBegin(), MatAssemblyEnd()
307 E*/
308 typedef enum {MAT_FLUSH_ASSEMBLY=1,MAT_FINAL_ASSEMBLY=0} MatAssemblyType;
309 PETSC_EXTERN PetscErrorCode MatAssemblyBegin(Mat,MatAssemblyType);
310 PETSC_EXTERN PetscErrorCode MatAssemblyEnd(Mat,MatAssemblyType);
311 PETSC_EXTERN PetscErrorCode MatAssembled(Mat,PetscBool *);
312 
313 
314 
315 /*E
316     MatOption - Options that may be set for a matrix and its behavior or storage
317 
318     Level: beginner
319 
320    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
321 
322    Developer Notes: Entries that are negative need not be called collectively by all processes.
323 
324 .seealso: MatSetOption()
325 E*/
326 typedef enum {MAT_OPTION_MIN = -3,
327               MAT_UNUSED_NONZERO_LOCATION_ERR = -2,
328               MAT_ROW_ORIENTED = -1,
329               MAT_SYMMETRIC = 1,
330               MAT_STRUCTURALLY_SYMMETRIC = 2,
331               MAT_NEW_DIAGONALS = 3,
332               MAT_IGNORE_OFF_PROC_ENTRIES = 4,
333               MAT_USE_HASH_TABLE = 5,
334               MAT_KEEP_NONZERO_PATTERN = 6,
335               MAT_IGNORE_ZERO_ENTRIES = 7,
336               MAT_USE_INODES = 8,
337               MAT_HERMITIAN = 9,
338               MAT_SYMMETRY_ETERNAL = 10,
339               MAT_NEW_NONZERO_LOCATION_ERR = 11,
340               MAT_IGNORE_LOWER_TRIANGULAR = 12,
341               MAT_ERROR_LOWER_TRIANGULAR = 13,
342               MAT_GETROW_UPPERTRIANGULAR = 14,
343               MAT_SPD = 15,
344               MAT_NO_OFF_PROC_ZERO_ROWS = 16,
345               MAT_NO_OFF_PROC_ENTRIES = 17,
346               MAT_NEW_NONZERO_LOCATIONS = 18,
347               MAT_NEW_NONZERO_ALLOCATION_ERR = 19,
348               MAT_SUBSET_OFF_PROC_ENTRIES = 20,
349               MAT_OPTION_MAX = 21} MatOption;
350 
351 PETSC_EXTERN const char *MatOptions[];
352 PETSC_EXTERN PetscErrorCode MatSetOption(Mat,MatOption,PetscBool);
353 PETSC_EXTERN PetscErrorCode MatGetOption(Mat,MatOption,PetscBool*);
354 PETSC_EXTERN PetscErrorCode MatGetType(Mat,MatType*);
355 
356 PETSC_EXTERN PetscErrorCode MatGetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar[]);
357 PETSC_EXTERN PetscErrorCode MatGetRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
358 PETSC_EXTERN PetscErrorCode MatRestoreRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
359 PETSC_EXTERN PetscErrorCode MatGetRowUpperTriangular(Mat);
360 PETSC_EXTERN PetscErrorCode MatRestoreRowUpperTriangular(Mat);
361 PETSC_EXTERN PetscErrorCode MatGetColumn(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
362 PETSC_EXTERN PetscErrorCode MatRestoreColumn(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
363 PETSC_EXTERN PetscErrorCode MatGetColumnVector(Mat,Vec,PetscInt);
364 PETSC_EXTERN PetscErrorCode MatSeqAIJGetArray(Mat,PetscScalar *[]);
365 PETSC_EXTERN PetscErrorCode MatSeqAIJRestoreArray(Mat,PetscScalar *[]);
366 PETSC_EXTERN PetscErrorCode MatSeqAIJGetMaxRowNonzeros(Mat,PetscInt*);
367 PETSC_EXTERN PetscErrorCode MatSeqAIJSetValuesLocalFast(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
368 PETSC_EXTERN PetscErrorCode MatDenseGetArray(Mat,PetscScalar *[]);
369 PETSC_EXTERN PetscErrorCode MatDenseRestoreArray(Mat,PetscScalar *[]);
370 PETSC_EXTERN PetscErrorCode MatGetBlockSize(Mat,PetscInt *);
371 PETSC_EXTERN PetscErrorCode MatSetBlockSize(Mat,PetscInt);
372 PETSC_EXTERN PetscErrorCode MatGetBlockSizes(Mat,PetscInt *,PetscInt *);
373 PETSC_EXTERN PetscErrorCode MatSetBlockSizes(Mat,PetscInt,PetscInt);
374 PETSC_EXTERN PetscErrorCode MatSetBlockSizesFromMats(Mat,Mat,Mat);
375 PETSC_EXTERN PetscErrorCode MatSetNThreads(Mat,PetscInt);
376 PETSC_EXTERN PetscErrorCode MatGetNThreads(Mat,PetscInt*);
377 
378 PETSC_EXTERN PetscErrorCode MatMult(Mat,Vec,Vec);
379 PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat,Vec,Vec);
380 PETSC_EXTERN PetscErrorCode MatMultAdd(Mat,Vec,Vec,Vec);
381 PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat,Vec,Vec);
382 PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat,Vec,Vec);
383 PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat,Mat,PetscReal,PetscBool *);
384 PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat,Mat,PetscReal,PetscBool *);
385 PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat,Vec,Vec,Vec);
386 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat,Vec,Vec,Vec);
387 PETSC_EXTERN PetscErrorCode MatMultConstrained(Mat,Vec,Vec);
388 PETSC_EXTERN PetscErrorCode MatMultTransposeConstrained(Mat,Vec,Vec);
389 PETSC_EXTERN PetscErrorCode MatMatSolve(Mat,Mat,Mat);
390 PETSC_EXTERN PetscErrorCode MatResidual(Mat,Vec,Vec,Vec);
391 
392 /*E
393     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
394   its numerical values copied over or just its nonzero structure.
395 
396     Level: beginner
397 
398    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
399 
400 $   MAT_SHARE_NONZERO_PATTERN - the i and j arrays in the new matrix will be shared with the original matrix
401 $                               this also triggers the MAT_DO_NOT_COPY_VALUES option. This is used when you
402 $                               have several matrices with the same nonzero pattern.
403 
404 .seealso: MatDuplicate()
405 E*/
406 typedef enum {MAT_DO_NOT_COPY_VALUES,MAT_COPY_VALUES,MAT_SHARE_NONZERO_PATTERN} MatDuplicateOption;
407 
408 PETSC_EXTERN PetscErrorCode MatConvert(Mat,MatType,MatReuse,Mat*);
409 PETSC_EXTERN PetscErrorCode MatDuplicate(Mat,MatDuplicateOption,Mat*);
410 
411 
412 PETSC_EXTERN PetscErrorCode MatCopy(Mat,Mat,MatStructure);
413 PETSC_EXTERN PetscErrorCode MatView(Mat,PetscViewer);
414 PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat,PetscReal,PetscBool *);
415 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat,PetscBool *);
416 PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat,PetscReal,PetscBool *);
417 PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat,PetscBool *,PetscBool *);
418 PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat,PetscBool *,PetscBool *);
419 PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat,PetscBool  *,PetscInt *);
420 PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);
421 
422 PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
423 PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
424 PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
425 PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
426 
427 /*S
428      MatInfo - Context of matrix information, used with MatGetInfo()
429 
430    In Fortran this is simply a double precision array of dimension MAT_INFO_SIZE
431 
432    Level: intermediate
433 
434   Concepts: matrix^nonzero information
435 
436 .seealso:  MatGetInfo(), MatInfoType
437 S*/
438 typedef struct {
439   PetscLogDouble block_size;                         /* block size */
440   PetscLogDouble nz_allocated,nz_used,nz_unneeded;   /* number of nonzeros */
441   PetscLogDouble memory;                             /* memory allocated */
442   PetscLogDouble assemblies;                         /* number of matrix assemblies called */
443   PetscLogDouble mallocs;                            /* number of mallocs during MatSetValues() */
444   PetscLogDouble fill_ratio_given,fill_ratio_needed; /* fill ratio for LU/ILU */
445   PetscLogDouble factor_mallocs;                     /* number of mallocs during factorization */
446 } MatInfo;
447 
448 /*E
449     MatInfoType - Indicates if you want information about the local part of the matrix,
450      the entire parallel matrix or the maximum over all the local parts.
451 
452     Level: beginner
453 
454    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
455 
456 .seealso: MatGetInfo(), MatInfo
457 E*/
458 typedef enum {MAT_LOCAL=1,MAT_GLOBAL_MAX=2,MAT_GLOBAL_SUM=3} MatInfoType;
459 PETSC_EXTERN PetscErrorCode MatGetInfo(Mat,MatInfoType,MatInfo*);
460 PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat,Vec);
461 PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat,Vec,PetscInt[]);
462 PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat,Vec,PetscInt[]);
463 PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat,Vec,PetscInt[]);
464 PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat,Vec,PetscInt[]);
465 PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat,Vec);
466 PETSC_EXTERN PetscErrorCode MatTranspose(Mat,MatReuse,Mat*);
467 PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat,MatReuse,Mat*);
468 PETSC_EXTERN PetscErrorCode MatPermute(Mat,IS,IS,Mat *);
469 PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat,Vec,Vec);
470 PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat,Vec,InsertMode);
471 PETSC_EXTERN PetscErrorCode MatEqual(Mat,Mat,PetscBool *);
472 PETSC_EXTERN PetscErrorCode MatMultEqual(Mat,Mat,PetscInt,PetscBool *);
473 PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat,Mat,PetscInt,PetscBool *);
474 PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat,Mat,PetscInt,PetscBool *);
475 PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat,Mat,PetscInt,PetscBool *);
476 
477 PETSC_EXTERN PetscErrorCode MatNorm(Mat,NormType,PetscReal *);
478 PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat,NormType,PetscReal *);
479 PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
480 PETSC_EXTERN PetscErrorCode MatZeroRows(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
481 PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat,IS,PetscScalar,Vec,Vec);
482 PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat,PetscInt,const MatStencil [],PetscScalar,Vec,Vec);
483 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat,PetscInt,const MatStencil[],PetscScalar,Vec,Vec);
484 PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
485 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat,IS,PetscScalar,Vec,Vec);
486 
487 PETSC_EXTERN PetscErrorCode MatGetSize(Mat,PetscInt*,PetscInt*);
488 PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat,PetscInt*,PetscInt*);
489 PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat,PetscInt*,PetscInt*);
490 PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat,const PetscInt**);
491 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat,PetscInt*,PetscInt*);
492 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat,const PetscInt**);
493 PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat,IS*,IS*);
494 
495 PETSC_EXTERN PetscErrorCode MatGetSubMatrices(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
496 PETSC_EXTERN PetscErrorCode MatGetSubMatricesMPI(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
497 PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt,Mat *[]);
498 PETSC_EXTERN PetscErrorCode MatGetSubMatrix(Mat,IS,IS,MatReuse,Mat *);
499 PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat,IS,IS,Mat*);
500 PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat,IS,IS,Mat*);
501 PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat,Mat*);
502 PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat*);
503 
504 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm,Mat,PetscInt,PetscInt,MatReuse,Mat*);
505 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm,Mat,PetscInt,PetscInt,Mat*);
506 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat,Mat);
507 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat,MatReuse,Mat*);
508 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat,MatReuse,IS*,IS*,Mat*);
509 PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat,Mat,MatReuse,IS*,IS*,Mat*);
510 PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *,const PetscInt *[]);
511 
512 PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat,PetscInt,IS[],PetscInt);
513 PETSC_EXTERN PetscErrorCode MatIncreaseOverlapSplit(Mat mat,PetscInt n,IS is[],PetscInt ov);
514 PETSC_EXTERN PetscErrorCode MatMPIAIJSetUseScalableIncreaseOverlap(Mat,PetscBool);
515 
516 PETSC_EXTERN PetscErrorCode MatMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
517 PETSC_EXTERN PetscErrorCode MatMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
518 PETSC_EXTERN PetscErrorCode MatMatMultNumeric(Mat,Mat,Mat);
519 
520 PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
521 PETSC_EXTERN PetscErrorCode MatMatMatMultSymbolic(Mat,Mat,Mat,PetscReal,Mat*);
522 PETSC_EXTERN PetscErrorCode MatMatMatMultNumeric(Mat,Mat,Mat,Mat);
523 
524 PETSC_EXTERN PetscErrorCode MatPtAP(Mat,Mat,MatReuse,PetscReal,Mat*);
525 PETSC_EXTERN PetscErrorCode MatPtAPSymbolic(Mat,Mat,PetscReal,Mat*);
526 PETSC_EXTERN PetscErrorCode MatPtAPNumeric(Mat,Mat,Mat);
527 PETSC_EXTERN PetscErrorCode MatRARt(Mat,Mat,MatReuse,PetscReal,Mat*);
528 PETSC_EXTERN PetscErrorCode MatRARtSymbolic(Mat,Mat,PetscReal,Mat*);
529 PETSC_EXTERN PetscErrorCode MatRARtNumeric(Mat,Mat,Mat);
530 
531 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
532 PETSC_EXTERN PetscErrorCode MatTransposetMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
533 PETSC_EXTERN PetscErrorCode MatTransposetMatMultNumeric(Mat,Mat,Mat);
534 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat,Mat,MatReuse,PetscReal,Mat*);
535 PETSC_EXTERN PetscErrorCode MatMatTransposeMultSymbolic(Mat,Mat,PetscReal,Mat*);
536 PETSC_EXTERN PetscErrorCode MatMatTransposeMultNumeric(Mat,Mat,Mat);
537 
538 PETSC_EXTERN PetscErrorCode MatAXPY(Mat,PetscScalar,Mat,MatStructure);
539 PETSC_EXTERN PetscErrorCode MatAYPX(Mat,PetscScalar,Mat,MatStructure);
540 
541 PETSC_EXTERN PetscErrorCode MatScale(Mat,PetscScalar);
542 PETSC_EXTERN PetscErrorCode MatShift(Mat,PetscScalar);
543 
544 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
545 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
546 PETSC_EXTERN PetscErrorCode MatGetLayouts(Mat,PetscLayout*,PetscLayout*);
547 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
548 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
549 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
550 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
551 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
552 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
553 
554 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat,PetscInt,PetscInt);
555 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat,PetscInt*,PetscInt*,PetscInt*,PetscInt*);
556 
557 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat,Vec,Vec);
558 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat,Vec,Vec,Vec);
559 PETSC_EXTERN PetscErrorCode MatRestrict(Mat,Vec,Vec);
560 PETSC_EXTERN PetscErrorCode MatCreateVecs(Mat,Vec*,Vec*);
561 PETSC_DEPRECATED("Use MatCreateVecs()") PETSC_STATIC_INLINE PetscErrorCode MatGetVecs(Mat mat,Vec *x,Vec *y) {return MatCreateVecs(mat,x,y);}
562 PETSC_EXTERN PetscErrorCode MatCreateRedundantMatrix(Mat,PetscInt,MPI_Comm,MatReuse,Mat*);
563 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat,MPI_Comm,MatReuse,Mat*);
564 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat,IS*);
565 PETSC_EXTERN PetscErrorCode MatFindOffBlockDiagonalEntries(Mat,IS*);
566 PETSC_EXTERN PetscErrorCode MatCreateMPIMatConcatenateSeqMat(MPI_Comm,Mat,PetscInt,MatReuse,Mat*);
567 
568 /*MC
569    MatSetValue - Set a single entry into a matrix.
570 
571    Not collective
572 
573    Synopsis:
574      #include <petscmat.h>
575      PetscErrorCode MatSetValue(Mat m,PetscInt row,PetscInt col,PetscScalar value,InsertMode mode)
576 
577    Input Parameters:
578 +  m - the matrix
579 .  row - the row location of the entry
580 .  col - the column location of the entry
581 .  value - the value to insert
582 -  mode - either INSERT_VALUES or ADD_VALUES
583 
584    Notes:
585    For efficiency one should use MatSetValues() and set several or many
586    values simultaneously if possible.
587 
588    Level: beginner
589 
590 .seealso: MatSetValues(), MatSetValueLocal()
591 M*/
592 PETSC_STATIC_INLINE PetscErrorCode MatSetValue(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValues(v,1,&i,1,&j,&va,mode);}
593 
594 PETSC_STATIC_INLINE PetscErrorCode MatGetValue(Mat v,PetscInt i,PetscInt j,PetscScalar *va) {return MatGetValues(v,1,&i,1,&j,va);}
595 
596 PETSC_STATIC_INLINE PetscErrorCode MatSetValueLocal(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValuesLocal(v,1,&i,1,&j,&va,mode);}
597 
598 /*MC
599    MatPreallocateInitialize - Begins the block of code that will count the number of nonzeros per
600        row in a matrix providing the data that one can use to correctly preallocate the matrix.
601 
602    Synopsis:
603    #include <petscmat.h>
604    PetscErrorCode MatPreallocateInitialize(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
605 
606    Collective on MPI_Comm
607 
608    Input Parameters:
609 +  comm - the communicator that will share the eventually allocated matrix
610 .  nrows - the number of LOCAL rows in the matrix
611 -  ncols - the number of LOCAL columns in the matrix
612 
613    Output Parameters:
614 +  dnz - the array that will be passed to the matrix preallocation routines
615 -  ozn - the other array passed to the matrix preallocation routines
616 
617    Level: intermediate
618 
619    Notes:
620     See Users-Manual: ch_performance for more details.
621 
622    Do not malloc or free dnz and onz, that is handled internally by these routines
623 
624    Use MatPreallocateInitializeSymmetric() for symmetric matrices (MPISBAIJ matrices)
625 
626    This is a MACRO not a function because it has a leading { that is closed by PetscPreallocateFinalize().
627 
628   Concepts: preallocation^Matrix
629 
630 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
631           MatPreallocateInitializeSymmetric(), MatPreallocateSymmetricSetLocalBlock()
632 M*/
633 #define MatPreallocateInitialize(comm,nrows,ncols,dnz,onz) 0; \
634 { \
635   PetscErrorCode _4_ierr; PetscInt __nrows = (nrows),__ctmp = (ncols),__rstart,__start,__end; \
636   _4_ierr = PetscCalloc2(__nrows,&dnz,__nrows,&onz);CHKERRQ(_4_ierr); \
637   __start = 0; __end = __start;                                         \
638   _4_ierr = MPI_Scan(&__ctmp,&__end,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __start = __end - __ctmp;\
639   _4_ierr = MPI_Scan(&__nrows,&__rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __nrows;
640 
641 /*MC
642    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
643        inserted using a local number of the rows and columns
644 
645    Synopsis:
646    #include <petscmat.h>
647    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
648 
649    Not Collective
650 
651    Input Parameters:
652 +  map - the row mapping from local numbering to global numbering
653 .  nrows - the number of rows indicated
654 .  rows - the indices of the rows
655 .  cmap - the column mapping from local to global numbering
656 .  ncols - the number of columns in the matrix
657 .  cols - the columns indicated
658 .  dnz - the array that will be passed to the matrix preallocation routines
659 -  ozn - the other array passed to the matrix preallocation routines
660 
661    Level: intermediate
662 
663    Notes:
664     See Users-Manual: ch_performance for more details.
665 
666    Do not malloc or free dnz and onz, that is handled internally by these routines
667 
668   Concepts: preallocation^Matrix
669 
670 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
671           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock()
672 M*/
673 #define MatPreallocateSetLocal(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
674 {\
675   PetscInt __l;\
676   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
677   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
678   for (__l=0;__l<nrows;__l++) {\
679     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
680   }\
681 }
682 
683 /*MC
684    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
685        inserted using a local number of the rows and columns
686 
687    Synopsis:
688    #include <petscmat.h>
689    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
690 
691    Not Collective
692 
693    Input Parameters:
694 +  map - the row mapping from local numbering to global numbering
695 .  nrows - the number of rows indicated
696 .  rows - the indices of the rows
697 .  cmap - the column mapping from local to global numbering
698 .  ncols - the number of columns in the matrix
699 .  cols - the columns indicated
700 .  dnz - the array that will be passed to the matrix preallocation routines
701 -  ozn - the other array passed to the matrix preallocation routines
702 
703    Level: intermediate
704 
705    Notes:
706     See Users-Manual: ch_performance for more details.
707 
708    Do not malloc or free dnz and onz, that is handled internally by these routines
709 
710   Concepts: preallocation^Matrix
711 
712 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
713           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock()
714 M*/
715 #define MatPreallocateSetLocalBlock(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
716 {\
717   PetscInt __l;\
718   _4_ierr = ISLocalToGlobalMappingApplyBlock(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
719   _4_ierr = ISLocalToGlobalMappingApplyBlock(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
720   for (__l=0;__l<nrows;__l++) {\
721     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
722   }\
723 }
724 
725 /*MC
726    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
727        inserted using a local number of the rows and columns
728 
729    Synopsis:
730    #include <petscmat.h>
731    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
732 
733    Not Collective
734 
735    Input Parameters:
736 +  map - the mapping between local numbering and global numbering
737 .  nrows - the number of rows indicated
738 .  rows - the indices of the rows
739 .  ncols - the number of columns in the matrix
740 .  cols - the columns indicated
741 .  dnz - the array that will be passed to the matrix preallocation routines
742 -  ozn - the other array passed to the matrix preallocation routines
743 
744    Level: intermediate
745 
746    Notes:
747     See Users-Manual: ch_performance for more details.
748 
749    Do not malloc or free dnz and onz that is handled internally by these routines
750 
751   Concepts: preallocation^Matrix
752 
753 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateInitialize(),
754           MatPreallocateInitialize(),  MatPreallocateSetLocal()
755 M*/
756 #define MatPreallocateSymmetricSetLocalBlock(map,nrows,rows,ncols,cols,dnz,onz) 0;\
757 {\
758   PetscInt __l;\
759   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
760   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
761   for (__l=0;__l<nrows;__l++) {\
762     _4_ierr = MatPreallocateSymmetricSetBlock((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
763   }\
764 }
765 /*MC
766    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
767        inserted using a local number of the rows and columns
768 
769    Synopsis:
770    #include <petscmat.h>
771    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
772 
773    Not Collective
774 
775    Input Parameters:
776 +  row - the row
777 .  ncols - the number of columns in the matrix
778 -  cols - the columns indicated
779 
780    Output Parameters:
781 +  dnz - the array that will be passed to the matrix preallocation routines
782 -  ozn - the other array passed to the matrix preallocation routines
783 
784    Level: intermediate
785 
786    Notes:
787     See Users-Manual: ch_performance for more details.
788 
789    Do not malloc or free dnz and onz that is handled internally by these routines
790 
791    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
792 
793   Concepts: preallocation^Matrix
794 
795 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
796           MatPreallocateInitialize(), MatPreallocateSetLocal()
797 M*/
798 #define MatPreallocateSet(row,nc,cols,dnz,onz) 0;\
799 { PetscInt __i; \
800   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);\
801   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);\
802   for (__i=0; __i<nc; __i++) {\
803     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
804     else dnz[row - __rstart]++;\
805   }\
806 }
807 
808 /*MC
809    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
810        inserted using a local number of the rows and columns
811 
812    Synopsis:
813    #include <petscmat.h>
814    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
815 
816    Not Collective
817 
818    Input Parameters:
819 +  nrows - the number of rows indicated
820 .  rows - the indices of the rows
821 .  ncols - the number of columns in the matrix
822 .  cols - the columns indicated
823 .  dnz - the array that will be passed to the matrix preallocation routines
824 -  ozn - the other array passed to the matrix preallocation routines
825 
826    Level: intermediate
827 
828    Notes:
829     See Users-Manual: ch_performance for more details.
830 
831    Do not malloc or free dnz and onz that is handled internally by these routines
832 
833    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
834 
835   Concepts: preallocation^Matrix
836 
837 .seealso: MatPreallocateFinalize(), MatPreallocateSet(),  MatPreallocateInitialize(),
838           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
839 M*/
840 #define MatPreallocateSymmetricSetBlock(row,nc,cols,dnz,onz) 0;\
841 { PetscInt __i; \
842   for (__i=0; __i<nc; __i++) {\
843     if (cols[__i] >= __end) onz[row - __rstart]++; \
844     else if (cols[__i] >= row) dnz[row - __rstart]++;\
845   }\
846 }
847 
848 /*MC
849    MatPreallocateLocation -  An alternative to MatPreallocationSet() that puts the nonzero locations into the matrix if it exists
850 
851    Synopsis:
852    #include <petscmat.h>
853    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
854 
855    Not Collective
856 
857    Input Parameters:
858 .  A - matrix
859 .  row - row where values exist (must be local to this process)
860 .  ncols - number of columns
861 .  cols - columns with nonzeros
862 .  dnz - the array that will be passed to the matrix preallocation routines
863 -  ozn - the other array passed to the matrix preallocation routines
864 
865    Level: intermediate
866 
867    Notes:
868     See Users-Manual: ch_performance for more details.
869 
870    Do not malloc or free dnz and onz that is handled internally by these routines
871 
872    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
873 
874   Concepts: preallocation^Matrix
875 
876 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
877           MatPreallocateSymmetricSetLocalBlock()
878 M*/
879 #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);}
880 
881 
882 /*MC
883    MatPreallocateFinalize - Ends the block of code that will count the number of nonzeros per
884        row in a matrix providing the data that one can use to correctly preallocate the matrix.
885 
886    Synopsis:
887    #include <petscmat.h>
888    PetscErrorCode MatPreallocateFinalize(PetscInt *dnz, PetscInt *onz)
889 
890    Collective on MPI_Comm
891 
892    Input Parameters:
893 +  dnz - the array that was be passed to the matrix preallocation routines
894 -  ozn - the other array passed to the matrix preallocation routines
895 
896    Level: intermediate
897 
898    Notes:
899     See Users-Manual: ch_performance for more details.
900 
901    Do not malloc or free dnz and onz that is handled internally by these routines
902 
903    This is a MACRO not a function because it closes the { started in MatPreallocateInitialize().
904 
905   Concepts: preallocation^Matrix
906 
907 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
908           MatPreallocateSymmetricSetLocalBlock()
909 M*/
910 #define MatPreallocateFinalize(dnz,onz) 0;_4_ierr = PetscFree2(dnz,onz);CHKERRQ(_4_ierr);}
911 
912 /* Routines unique to particular data structures */
913 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat,void *);
914 
915 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat,IS*,IS*);
916 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat,PetscInt *,PetscInt *[],PetscInt *);
917 
918 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat,PetscInt[]);
919 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat,PetscInt[]);
920 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
921 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
922 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
923 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*,PetscInt,PetscBool);
924 
925 #define MAT_SKIP_ALLOCATION -4
926 
927 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
928 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
929 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat,PetscInt,const PetscInt[]);
930 
931 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
932 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
933 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
934 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat,const PetscInt [],const PetscInt [],const PetscScalar []);
935 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
936 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]);
937 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
938 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat,PetscInt[],PetscInt[],PetscInt[]);
939 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
940 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
941 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
942 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
943 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat,Mat*);
944 
945 PETSC_EXTERN PetscErrorCode MatISSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
946 PETSC_EXTERN PetscErrorCode MatSeqDenseSetLDA(Mat,PetscInt);
947 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat,Mat*);
948 
949 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
950 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
951 
952 PETSC_EXTERN PetscErrorCode MatDAADSetCtx(Mat,void*);
953 
954 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat,IS*);
955 /*
956   These routines are not usually accessed directly, rather solving is
957   done through the KSP and PC interfaces.
958 */
959 
960 /*J
961     MatOrderingType - String with the name of a PETSc matrix ordering
962 
963    Level: beginner
964 
965 .seealso: MatGetOrdering()
966 J*/
967 typedef const char* MatOrderingType;
968 #define MATORDERINGNATURAL     "natural"
969 #define MATORDERINGND          "nd"
970 #define MATORDERING1WD         "1wd"
971 #define MATORDERINGRCM         "rcm"
972 #define MATORDERINGQMD         "qmd"
973 #define MATORDERINGROWLENGTH   "rowlength"
974 #define MATORDERINGWBM         "wbm"
975 #define MATORDERINGSPECTRAL    "spectral"
976 #define MATORDERINGAMD         "amd"            /* only works if UMFPACK is installed with PETSc */
977 
978 PETSC_EXTERN PetscErrorCode MatGetOrdering(Mat,MatOrderingType,IS*,IS*);
979 PETSC_EXTERN PetscErrorCode MatGetOrderingList(PetscFunctionList*);
980 PETSC_EXTERN PetscErrorCode MatOrderingRegister(const char[],PetscErrorCode(*)(Mat,MatOrderingType,IS*,IS*));
981 PETSC_EXTERN PetscFunctionList MatOrderingList;
982 
983 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
984 PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat,PetscReal,PetscBool,Mat*);
985 
986 /*S
987     MatFactorShiftType - Numeric Shift.
988 
989    Level: beginner
990 
991 S*/
992 typedef enum {MAT_SHIFT_NONE,MAT_SHIFT_NONZERO,MAT_SHIFT_POSITIVE_DEFINITE,MAT_SHIFT_INBLOCKS} MatFactorShiftType;
993 PETSC_EXTERN const char *const MatFactorShiftTypes[];
994 PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];
995 
996 /*S
997    MatFactorInfo - Data passed into the matrix factorization routines, and information about the resulting factorization
998 
999    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE, that is use
1000 $     MatFactorInfo  info(MAT_FACTORINFO_SIZE)
1001 
1002    Notes: These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
1003 
1004       You can use MatFactorInfoInitialize() to set default values.
1005 
1006    Level: developer
1007 
1008 .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor(),
1009           MatFactorInfoInitialize()
1010 
1011 S*/
1012 typedef struct {
1013   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
1014   PetscReal     usedt;
1015   PetscReal     dt;             /* drop tolerance */
1016   PetscReal     dtcol;          /* tolerance for pivoting */
1017   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
1018   PetscReal     fill;           /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1019   PetscReal     levels;         /* ICC/ILU(levels) */
1020   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1021                                    factorization may be faster if do not pivot */
1022   PetscReal     zeropivot;      /* pivot is called zero if less than this */
1023   PetscReal     shifttype;      /* type of shift added to matrix factor to prevent zero pivots */
1024   PetscReal     shiftamount;     /* how large the shift is */
1025 } MatFactorInfo;
1026 
1027 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo*);
1028 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat,IS,const MatFactorInfo*);
1029 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1030 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat,Mat,const MatFactorInfo*);
1031 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat,IS,IS,const MatFactorInfo*);
1032 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat,IS,IS,const MatFactorInfo*);
1033 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1034 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1035 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1036 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat,IS,const MatFactorInfo*);
1037 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat,Mat,const MatFactorInfo*);
1038 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat,PetscInt*,PetscInt*,PetscInt*);
1039 PETSC_EXTERN PetscErrorCode MatSolve(Mat,Vec,Vec);
1040 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat,Vec,Vec);
1041 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat,Vec,Vec);
1042 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat,Vec,Vec,Vec);
1043 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat,Vec,Vec);
1044 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
1045 PETSC_EXTERN PetscErrorCode MatSolves(Mat,Vecs,Vecs);
1046 
1047 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
1048 
1049 /*E
1050     MatSORType - What type of (S)SOR to perform
1051 
1052     Level: beginner
1053 
1054    May be bitwise ORd together
1055 
1056    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1057 
1058    MatSORType may be bitwise ORd together, so do not change the numbers
1059 
1060 .seealso: MatSOR()
1061 E*/
1062 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
1063               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
1064               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
1065               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
1066 PETSC_EXTERN PetscErrorCode MatSOR(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
1067 
1068 /*
1069     These routines are for efficiently computing Jacobians via finite differences.
1070 */
1071 
1072 /*S
1073      MatColoring - Object for managing the coloring of matrices.
1074 
1075    Level: beginner
1076 
1077   Concepts: matrix, coloring
1078 
1079 .seealso:  MatFDColoringCreate() ISColoring MatFDColoring
1080 S*/
1081 typedef struct _p_MatColoring* MatColoring;
1082 /*J
1083     MatColoringType - String with the name of a PETSc matrix coloring
1084 
1085    Level: beginner
1086 
1087 .seealso: MatColoringSetType(), MatColoring
1088 J*/
1089 
1090 typedef const  char*           MatColoringType;
1091 #define MATCOLORINGJP      "jp"
1092 #define MATCOLORINGPOWER   "power"
1093 #define MATCOLORINGNATURAL "natural"
1094 #define MATCOLORINGSL      "sl"
1095 #define MATCOLORINGLF      "lf"
1096 #define MATCOLORINGID      "id"
1097 #define MATCOLORINGGREEDY  "greedy"
1098 
1099 /*E
1100    MatColoringWeightType - Type of weight scheme
1101 
1102     Not Collective
1103 
1104 +   MAT_COLORING_RANDOM  - Random weights
1105 .   MAT_COLORING_LEXICAL - Lexical weighting based upon global numbering.
1106 -   MAT_COLORING_LF      - Last-first weighting.
1107 
1108     Level: intermediate
1109 
1110    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1111 
1112 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1113 E*/
1114 typedef enum {MAT_COLORING_WEIGHT_RANDOM,MAT_COLORING_WEIGHT_LEXICAL,MAT_COLORING_WEIGHT_LF,MAT_COLORING_WEIGHT_SL} MatColoringWeightType;
1115 
1116 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat,MatColoring*);
1117 PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat,PetscInt,PetscInt*);
1118 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring*);
1119 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring,PetscViewer);
1120 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring,MatColoringType);
1121 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1122 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring,PetscInt);
1123 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring,PetscInt*);
1124 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring,PetscInt);
1125 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring,PetscInt*);
1126 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring,ISColoring*);
1127 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[],PetscErrorCode(*)(MatColoring));
1128 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat,PetscInt,PetscInt,ISColoringValue[],ISColoring*);
1129 PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring,MatColoringWeightType);
1130 PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring,PetscReal*,PetscInt*);
1131 PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring,PetscReal **,PetscInt **lperm);
1132 
1133 /*S
1134      MatFDColoring - Object for computing a sparse Jacobian via finite differences
1135         and coloring
1136 
1137    Level: beginner
1138 
1139   Concepts: coloring, sparse Jacobian, finite differences
1140 
1141 .seealso:  MatFDColoringCreate()
1142 S*/
1143 typedef struct _p_MatFDColoring* MatFDColoring;
1144 
1145 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
1146 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring*);
1147 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring,PetscViewer);
1148 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring,PetscErrorCode (*)(void),void*);
1149 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring,PetscErrorCode (**)(void),void**);
1150 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
1151 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1152 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat,MatFDColoring,Vec,void *);
1153 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring,Vec);
1154 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring,PetscInt*,PetscInt*[]);
1155 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat,ISColoring,MatFDColoring);
1156 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring,PetscInt,PetscInt);
1157 
1158 
1159 /*S
1160      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring
1161 
1162    Level: beginner
1163 
1164   Concepts: coloring, sparse matrix product
1165 
1166 .seealso:  MatTransposeColoringCreate()
1167 S*/
1168 typedef struct _p_MatTransposeColoring* MatTransposeColoring;
1169 
1170 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat,ISColoring,MatTransposeColoring *);
1171 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring,Mat,Mat);
1172 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring,Mat,Mat);
1173 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring*);
1174 
1175 /*
1176     These routines are for partitioning matrices: currently used only
1177   for adjacency matrix, MatCreateMPIAdj().
1178 */
1179 
1180 /*S
1181      MatPartitioning - Object for managing the partitioning of a matrix or graph
1182 
1183    Level: beginner
1184 
1185   Concepts: partitioning
1186 
1187 .seealso:  MatPartitioningCreate(), MatPartitioningType
1188 S*/
1189 typedef struct _p_MatPartitioning* MatPartitioning;
1190 
1191 /*J
1192     MatPartitioningType - String with the name of a PETSc matrix partitioning
1193 
1194    Level: beginner
1195 dm
1196 .seealso: MatPartitioningCreate(), MatPartitioning
1197 J*/
1198 typedef const char* MatPartitioningType;
1199 #define MATPARTITIONINGCURRENT  "current"
1200 #define MATPARTITIONINGAVERAGE   "average"
1201 #define MATPARTITIONINGSQUARE   "square"
1202 #define MATPARTITIONINGPARMETIS "parmetis"
1203 #define MATPARTITIONINGCHACO    "chaco"
1204 #define MATPARTITIONINGPARTY    "party"
1205 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1206 #define MATPARTITIONINGHIERARCH  "hierarch"
1207 
1208 
1209 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1210 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning,MatPartitioningType);
1211 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning,PetscInt);
1212 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning,Mat);
1213 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning,const PetscInt[]);
1214 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1215 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning,IS*);
1216 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning*);
1217 
1218 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[],PetscErrorCode (*)(MatPartitioning));
1219 
1220 
1221 
1222 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning,PetscViewer);
1223 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1224 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
1225 
1226 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetRepartition(MatPartitioning part);
1227 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1228 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1229 
1230 typedef enum { MP_CHACO_MULTILEVEL=1,MP_CHACO_SPECTRAL=2,MP_CHACO_LINEAR=4,MP_CHACO_RANDOM=5,MP_CHACO_SCATTERED=6 } MPChacoGlobalType;
1231 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1232 typedef enum { MP_CHACO_KERNIGHAN=1,MP_CHACO_NONE=2 } MPChacoLocalType;
1233 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1234 typedef enum { MP_CHACO_LANCZOS=0,MP_CHACO_RQI=1 } MPChacoEigenType;
1235 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1236 
1237 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning,MPChacoGlobalType);
1238 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning,MPChacoGlobalType*);
1239 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning,MPChacoLocalType);
1240 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning,MPChacoLocalType*);
1241 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning,PetscReal);
1242 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning,MPChacoEigenType);
1243 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning,MPChacoEigenType*);
1244 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning,PetscReal);
1245 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning,PetscReal*);
1246 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning,PetscInt);
1247 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning,PetscInt*);
1248 
1249 #define MP_PARTY_OPT "opt"
1250 #define MP_PARTY_LIN "lin"
1251 #define MP_PARTY_SCA "sca"
1252 #define MP_PARTY_RAN "ran"
1253 #define MP_PARTY_GBF "gbf"
1254 #define MP_PARTY_GCF "gcf"
1255 #define MP_PARTY_BUB "bub"
1256 #define MP_PARTY_DEF "def"
1257 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning,const char*);
1258 #define MP_PARTY_HELPFUL_SETS "hs"
1259 #define MP_PARTY_KERNIGHAN_LIN "kl"
1260 #define MP_PARTY_NONE "no"
1261 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning,const char*);
1262 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning,PetscReal);
1263 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning,PetscBool);
1264 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning,PetscBool);
1265 
1266 typedef enum { MP_PTSCOTCH_QUALITY,MP_PTSCOTCH_SPEED,MP_PTSCOTCH_BALANCE,MP_PTSCOTCH_SAFETY,MP_PTSCOTCH_SCALABILITY } MPPTScotchStrategyType;
1267 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1268 
1269 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning,PetscReal);
1270 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning,PetscReal*);
1271 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning,MPPTScotchStrategyType);
1272 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning,MPPTScotchStrategyType*);
1273 
1274 /*
1275  * hierarchical partitioning
1276  */
1277 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetFineparts(MatPartitioning,IS*);
1278 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetCoarseparts(MatPartitioning,IS*);
1279 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNcoarseparts(MatPartitioning,PetscInt);
1280 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNfineparts(MatPartitioning, PetscInt);
1281 
1282 /*
1283     These routines are for coarsening matrices:
1284 */
1285 
1286 /*S
1287      MatCoarsen - Object for managing the coarsening of a graph (symmetric matrix)
1288 
1289    Level: beginner
1290 
1291   Concepts: coarsen
1292 
1293 .seealso:  MatCoarsenCreate), MatCoarsenType
1294 S*/
1295 typedef struct _p_MatCoarsen* MatCoarsen;
1296 
1297 /*J
1298     MatCoarsenType - String with the name of a PETSc matrix coarsen
1299 
1300    Level: beginner
1301 
1302 .seealso: MatCoarsenCreate(), MatCoarsen
1303 J*/
1304 typedef const char* MatCoarsenType;
1305 #define MATCOARSENMIS  "mis"
1306 #define MATCOARSENHEM  "hem"
1307 
1308 /* linked list for aggregates */
1309 typedef struct _PetscCDIntNd{
1310   struct _PetscCDIntNd *next;
1311   PetscInt             gid;
1312 }PetscCDIntNd;
1313 
1314 /* only used by node pool */
1315 typedef struct _PetscCDArrNd{
1316   struct _PetscCDArrNd *next;
1317   struct _PetscCDIntNd *array;
1318 }PetscCDArrNd;
1319 
1320 typedef struct _PetscCoarsenData{
1321   PetscCDArrNd pool_list;  /* node pool */
1322   PetscCDIntNd *new_node;
1323   PetscInt     new_left;
1324   PetscInt     chk_sz;
1325   PetscCDIntNd *extra_nodes;
1326   PetscCDIntNd **array;  /* Array of lists */
1327   PetscInt     size;
1328   Mat          mat;  /* cache a Mat for communication data */
1329 }PetscCoarsenData;
1330 
1331 PETSC_EXTERN PetscErrorCode MatCoarsenCreate(MPI_Comm,MatCoarsen*);
1332 PETSC_EXTERN PetscErrorCode MatCoarsenSetType(MatCoarsen,MatCoarsenType);
1333 PETSC_EXTERN PetscErrorCode MatCoarsenSetAdjacency(MatCoarsen,Mat);
1334 PETSC_EXTERN PetscErrorCode MatCoarsenSetGreedyOrdering(MatCoarsen,const IS);
1335 PETSC_EXTERN PetscErrorCode MatCoarsenSetStrictAggs(MatCoarsen,PetscBool);
1336 PETSC_EXTERN PetscErrorCode MatCoarsenGetData( MatCoarsen, PetscCoarsenData ** );
1337 PETSC_EXTERN PetscErrorCode MatCoarsenApply(MatCoarsen);
1338 PETSC_EXTERN PetscErrorCode MatCoarsenDestroy(MatCoarsen*);
1339 
1340 PETSC_EXTERN PetscErrorCode MatCoarsenRegister(const char[],PetscErrorCode (*)(MatCoarsen));
1341 
1342 
1343 
1344 PETSC_EXTERN PetscErrorCode MatCoarsenView(MatCoarsen,PetscViewer);
1345 PETSC_EXTERN PetscErrorCode MatCoarsenSetFromOptions(MatCoarsen);
1346 PETSC_EXTERN PetscErrorCode MatCoarsenGetType(MatCoarsen,MatCoarsenType*);
1347 PETSC_STATIC_INLINE PetscErrorCode MatCoarsenViewFromOptions(MatCoarsen A,PetscObject obj,const char name[]) {return PetscObjectViewFromOptions((PetscObject)A,obj,name);}
1348 
1349 PETSC_EXTERN PetscErrorCode MatMeshToVertexGraph(Mat,PetscInt,Mat*);
1350 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat,PetscInt,Mat*);
1351 
1352 /*
1353     If you add entries here you must also add them to petsc/finclude/petscmat.h
1354 */
1355 typedef enum { MATOP_SET_VALUES=0,
1356                MATOP_GET_ROW=1,
1357                MATOP_RESTORE_ROW=2,
1358                MATOP_MULT=3,
1359                MATOP_MULT_ADD=4,
1360                MATOP_MULT_TRANSPOSE=5,
1361                MATOP_MULT_TRANSPOSE_ADD=6,
1362                MATOP_SOLVE=7,
1363                MATOP_SOLVE_ADD=8,
1364                MATOP_SOLVE_TRANSPOSE=9,
1365                MATOP_SOLVE_TRANSPOSE_ADD=10,
1366                MATOP_LUFACTOR=11,
1367                MATOP_CHOLESKYFACTOR=12,
1368                MATOP_SOR=13,
1369                MATOP_TRANSPOSE=14,
1370                MATOP_GETINFO=15,
1371                MATOP_EQUAL=16,
1372                MATOP_GET_DIAGONAL=17,
1373                MATOP_DIAGONAL_SCALE=18,
1374                MATOP_NORM=19,
1375                MATOP_ASSEMBLY_BEGIN=20,
1376                MATOP_ASSEMBLY_END=21,
1377                MATOP_SET_OPTION=22,
1378                MATOP_ZERO_ENTRIES=23,
1379                MATOP_ZERO_ROWS=24,
1380                MATOP_LUFACTOR_SYMBOLIC=25,
1381                MATOP_LUFACTOR_NUMERIC=26,
1382                MATOP_CHOLESKY_FACTOR_SYMBOLIC=27,
1383                MATOP_CHOLESKY_FACTOR_NUMERIC=28,
1384                MATOP_SETUP_PREALLOCATION=29,
1385                MATOP_ILUFACTOR_SYMBOLIC=30,
1386                MATOP_ICCFACTOR_SYMBOLIC=31,
1387                /* MATOP_PLACEHOLDER_32=32, */
1388                /* MATOP_PLACEHOLDER_33=33, */
1389                MATOP_DUPLICATE=34,
1390                MATOP_FORWARD_SOLVE=35,
1391                MATOP_BACKWARD_SOLVE=36,
1392                MATOP_ILUFACTOR=37,
1393                MATOP_ICCFACTOR=38,
1394                MATOP_AXPY=39,
1395                MATOP_GET_SUBMATRICES=40,
1396                MATOP_INCREASE_OVERLAP=41,
1397                MATOP_GET_VALUES=42,
1398                MATOP_COPY=43,
1399                MATOP_GET_ROW_MAX=44,
1400                MATOP_SCALE=45,
1401                MATOP_SHIFT=46,
1402                MATOP_DIAGONAL_SET=47,
1403                MATOP_ZERO_ROWS_COLUMNS=48,
1404                MATOP_SET_RANDOM=49,
1405                MATOP_GET_ROW_IJ=50,
1406                MATOP_RESTORE_ROW_IJ=51,
1407                MATOP_GET_COLUMN_IJ=52,
1408                MATOP_RESTORE_COLUMN_IJ=53,
1409                MATOP_FDCOLORING_CREATE=54,
1410                MATOP_COLORING_PATCH=55,
1411                MATOP_SET_UNFACTORED=56,
1412                MATOP_PERMUTE=57,
1413                MATOP_SET_VALUES_BLOCKED=58,
1414                MATOP_GET_SUBMATRIX=59,
1415                MATOP_DESTROY=60,
1416                MATOP_VIEW=61,
1417                MATOP_CONVERT_FROM=62,
1418                MATOP_MATMAT_MULT=63,
1419                MATOP_MATMAT_MULT_SYMBOLIC=64,
1420                MATOP_MATMAT_MULT_NUMERIC=65,
1421                MATOP_SET_LOCAL_TO_GLOBAL_MAP=66,
1422                MATOP_SET_VALUES_LOCAL=67,
1423                MATOP_ZERO_ROWS_LOCAL=68,
1424                MATOP_GET_ROW_MAX_ABS=69,
1425                MATOP_GET_ROW_MIN_ABS=70,
1426                MATOP_CONVERT=71,
1427                MATOP_SET_COLORING=72,
1428                /* MATOP_PLACEHOLDER_73=73, */
1429                MATOP_SET_VALUES_ADIFOR=74,
1430                MATOP_FD_COLORING_APPLY=75,
1431                MATOP_SET_FROM_OPTIONS=76,
1432                MATOP_MULT_CONSTRAINED=77,
1433                MATOP_MULT_TRANSPOSE_CONSTRAIN=78,
1434                MATOP_FIND_ZERO_DIAGONALS=79,
1435                MATOP_MULT_MULTIPLE=80,
1436                MATOP_SOLVE_MULTIPLE=81,
1437                MATOP_GET_INERTIA=82,
1438                MATOP_LOAD=83,
1439                MATOP_IS_SYMMETRIC=84,
1440                MATOP_IS_HERMITIAN=85,
1441                MATOP_IS_STRUCTURALLY_SYMMETRIC=86,
1442                MATOP_SET_VALUES_BLOCKEDLOCAL=87,
1443                MATOP_GET_VECS=88,
1444                MATOP_MAT_MULT=89,
1445                MATOP_MAT_MULT_SYMBOLIC=90,
1446                MATOP_MAT_MULT_NUMERIC=91,
1447                MATOP_PTAP=92,
1448                MATOP_PTAP_SYMBOLIC=93,
1449                MATOP_PTAP_NUMERIC=94,
1450                MATOP_MAT_TRANSPOSE_MULT=95,
1451                MATOP_MAT_TRANSPOSE_MULT_SYMBO=96,
1452                MATOP_MAT_TRANSPOSE_MULT_NUMER=97,
1453                /* MATOP_PLACEHOLDER_98=98, */
1454                /* MATOP_PLACEHOLDER_99=99, */
1455                /* MATOP_PLACEHOLDER_100=100, */
1456                /* MATOP_PLACEHOLDER_101=101, */
1457                MATOP_CONJUGATE=102,
1458                /* MATOP_PLACEHOLDER_103=103, */
1459                MATOP_SET_VALUES_ROW=104,
1460                MATOP_REAL_PART=105,
1461                MATOP_IMAGINARY_PART=106,
1462                MATOP_GET_ROW_UPPER_TRIANGULAR=107,
1463                MATOP_RESTORE_ROW_UPPER_TRIANG=108,
1464                MATOP_MAT_SOLVE=109,
1465                MATOP_GET_REDUNDANT_MATRIX=110,
1466                MATOP_GET_ROW_MIN=111,
1467                MATOP_GET_COLUMN_VECTOR=112,
1468                MATOP_MISSING_DIAGONAL=113,
1469                MATOP_GET_SEQ_NONZERO_STRUCTUR=114,
1470                MATOP_CREATE=115,
1471                MATOP_GET_GHOSTS=116,
1472                MATOP_GET_LOCAL_SUB_MATRIX=117,
1473                MATOP_RESTORE_LOCALSUB_MATRIX=118,
1474                MATOP_MULT_DIAGONAL_BLOCK=119,
1475                MATOP_HERMITIAN_TRANSPOSE=120,
1476                MATOP_MULT_HERMITIAN_TRANSPOSE=121,
1477                MATOP_MULT_HERMITIAN_TRANS_ADD=122,
1478                MATOP_GET_MULTI_PROC_BLOCK=123,
1479                MATOP_FIND_NONZERO_ROWS=124,
1480                MATOP_GET_COLUMN_NORMS=125,
1481                MATOP_INVERT_BLOCK_DIAGONAL=126,
1482                /* MATOP_PLACEHOLDER_127=127, */
1483                MATOP_GET_SUB_MATRICES_PARALLE=128,
1484                MATOP_SET_VALUES_BATCH=129,
1485                MATOP_TRANSPOSE_MAT_MULT=130,
1486                MATOP_TRANSPOSE_MAT_MULT_SYMBO=131,
1487                MATOP_TRANSPOSE_MAT_MULT_NUMER=132,
1488                MATOP_TRANSPOSE_COLORING_CREAT=133,
1489                MATOP_TRANS_COLORING_APPLY_SPT=134,
1490                MATOP_TRANS_COLORING_APPLY_DEN=135,
1491                MATOP_RART=136,
1492                MATOP_RART_SYMBOLIC=137,
1493                MATOP_RART_NUMERIC=138,
1494                MATOP_SET_BLOCK_SIZES=139,
1495                MATOP_AYPX=140,
1496                MATOP_RESIDUAL=141,
1497                MATOP_FDCOLORING_SETUP=142,
1498                MATOP_MPICONCATENATESEQ=144
1499              } MatOperation;
1500 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat,MatOperation,PetscBool *);
1501 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat,MatOperation,void(*)(void));
1502 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat,MatOperation,void(**)(void));
1503 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat,void*);
1504 
1505 /*
1506    Codes for matrices stored on disk. By default they are
1507    stored in a universal format. By changing the format with
1508    PetscViewerSetFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
1509    be stored in a way natural for the matrix, for example dense matrices
1510    would be stored as dense. Matrices stored this way may only be
1511    read into matrices of the same type.
1512 */
1513 #define MATRIX_BINARY_FORMAT_DENSE -1
1514 
1515 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1516 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat,Mat*);
1517 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat,Mat);
1518 PETSC_EXTERN PetscErrorCode MatISGetMPIXAIJ(Mat,MatReuse,Mat*);
1519 
1520 /*S
1521      MatNullSpace - Object that removes a null space from a vector, i.e.
1522          orthogonalizes the vector to a subsapce
1523 
1524    Level: advanced
1525 
1526   Concepts: matrix; linear operator, null space
1527 
1528   Users manual sections:
1529 .   sec_singular
1530 
1531 .seealso:  MatNullSpaceCreate()
1532 S*/
1533 typedef struct _p_MatNullSpace* MatNullSpace;
1534 
1535 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm,PetscBool ,PetscInt,const Vec[],MatNullSpace*);
1536 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace,PetscErrorCode (*)(MatNullSpace,Vec,void*),void*);
1537 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace*);
1538 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace,Vec);
1539 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
1540 PETSC_EXTERN PetscErrorCode MatGetTransposeNullSpace(Mat, MatNullSpace *);
1541 PETSC_EXTERN PetscErrorCode MatSetTransposeNullSpace(Mat,MatNullSpace);
1542 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat,MatNullSpace);
1543 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat,MatNullSpace);
1544 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat,MatNullSpace*);
1545 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace,Mat,PetscBool  *);
1546 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace,PetscViewer);
1547 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace,PetscBool*,PetscInt*,const Vec**);
1548 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec,MatNullSpace*);
1549 
1550 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat,IS);
1551 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1552 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat,PetscInt *);
1553 PETSC_EXTERN PetscErrorCode MatSeqBAIJInvertBlockDiagonal(Mat);
1554 
1555 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat,PetscInt,Mat*);
1556 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat,PetscInt,Mat*);
1557 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat,Mat*);
1558 
1559 PETSC_EXTERN PetscErrorCode MatComputeExplicitOperator(Mat,Mat*);
1560 
1561 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat,Vec);
1562 
1563 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
1564 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat,Vec,Vec);
1565 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat,PetscErrorCode(*)(void*,Vec,Vec),void*);
1566 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat,PetscErrorCode (*)(void*,PetscInt,Vec,PetscScalar*));
1567 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat,PetscErrorCode (*)(void*,Vec));
1568 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat,PetscScalar[],PetscInt);
1569 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
1570 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat,PetscReal);
1571 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat,PetscInt);
1572 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat,PetscScalar *);
1573 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat,const char[]);
1574 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void*,Vec,Vec,PetscScalar*);
1575 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat,PetscErrorCode (*)(void*,Vec,Vec,PetscScalar*),void*);
1576 
1577 /*S
1578     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
1579               Jacobian vector products
1580 
1581     Notes: MATMFFD is a specific MatType which uses the MatMFFD data structure
1582 
1583            MatMFFD*() methods actually take the Mat as their first argument. Not a MatMFFD data structure
1584 
1585     Level: developer
1586 
1587 .seealso: MATMFFD, MatCreateMFFD(), MatMFFDSetFuction(), MatMFFDSetType(), MatMFFDRegister()
1588 S*/
1589 typedef struct _p_MatMFFD* MatMFFD;
1590 
1591 /*J
1592     MatMFFDType - algorithm used to compute the h used in computing matrix-vector products via differencing of the function
1593 
1594    Level: beginner
1595 
1596 .seealso: MatMFFDSetType(), MatMFFDRegister()
1597 J*/
1598 typedef const char* MatMFFDType;
1599 #define MATMFFD_DS  "ds"
1600 #define MATMFFD_WP  "wp"
1601 
1602 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat,MatMFFDType);
1603 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[],PetscErrorCode (*)(MatMFFD));
1604 
1605 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat,PetscReal);
1606 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat,PetscBool );
1607 
1608 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
1609 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
1610 
1611 /*
1612    PETSc interface to MUMPS
1613 */
1614 #ifdef PETSC_HAVE_MUMPS
1615 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat,PetscInt,PetscInt);
1616 PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat,PetscInt,PetscInt*);
1617 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat,PetscInt,PetscReal);
1618 PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat,PetscInt,PetscReal*);
1619 
1620 PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat,PetscInt,PetscInt*);
1621 PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat,PetscInt,PetscInt*);
1622 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat,PetscInt,PetscReal*);
1623 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat,PetscInt,PetscReal*);
1624 
1625 PETSC_EXTERN PetscErrorCode MatMumpsSetSchurIndices(Mat,PetscInt,PetscInt[]);
1626 PETSC_EXTERN PetscErrorCode MatMumpsInvertSchurComplement(Mat);
1627 PETSC_EXTERN PetscErrorCode MatMumpsCreateSchurComplement(Mat,Mat*);
1628 PETSC_EXTERN PetscErrorCode MatMumpsGetSchurComplement(Mat,Mat*);
1629 PETSC_EXTERN PetscErrorCode MatMumpsRestoreSchurComplement(Mat,Mat*);
1630 PETSC_EXTERN PetscErrorCode MatMumpsSolveSchurComplement(Mat,Vec,Vec);
1631 PETSC_EXTERN PetscErrorCode MatMumpsSolveSchurComplementTranspose(Mat,Vec,Vec);
1632 #endif
1633 
1634 /*
1635    PETSc interface to Mkl_Pardiso
1636 */
1637 #ifdef PETSC_HAVE_MKL_PARDISO
1638 PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat,PetscInt,PetscInt);
1639 #endif
1640 
1641 /*
1642    PETSc interface to Mkl_CPardiso
1643 */
1644 #ifdef PETSC_HAVE_MKL_CPARDISO
1645 PETSC_EXTERN PetscErrorCode MatMkl_CPardisoSetCntl(Mat,PetscInt,PetscInt);
1646 #endif
1647 
1648 /*
1649    PETSc interface to SUPERLU
1650 */
1651 #ifdef PETSC_HAVE_SUPERLU
1652 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat,PetscReal);
1653 #endif
1654 
1655 #ifdef PETSC_HAVE_CUDA
1656 /*E
1657     MatCUSPARSEStorageFormat - indicates the storage format for CUSPARSE (GPU)
1658     matrices.
1659 
1660     Not Collective
1661 
1662 +   MAT_CUSPARSE_CSR - Compressed Sparse Row
1663 .   MAT_CUSPARSE_ELL - Ellpack (requires CUDA 4.2 or later).
1664 -   MAT_CUSPARSE_HYB - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
1665 
1666     Level: intermediate
1667 
1668    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1669 
1670 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEFormatOperation
1671 E*/
1672 
1673 typedef enum {MAT_CUSPARSE_CSR, MAT_CUSPARSE_ELL, MAT_CUSPARSE_HYB} MatCUSPARSEStorageFormat;
1674 
1675 /* these will be strings associated with enumerated type defined above */
1676 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
1677 
1678 /*E
1679     MatCUSPARSEFormatOperation - indicates the operation of CUSPARSE (GPU)
1680     matrices whose operation should use a particular storage format.
1681 
1682     Not Collective
1683 
1684 +   MAT_CUSPARSE_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1685 .   MAT_CUSPARSE_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1686 .   MAT_CUSPARSE_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1687 -   MAT_CUSPARSE_ALL - sets the storage format for all CUSPARSE (GPU) matrices
1688 
1689     Level: intermediate
1690 
1691 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEStorageFormat
1692 E*/
1693 typedef enum {MAT_CUSPARSE_MULT_DIAG, MAT_CUSPARSE_MULT_OFFDIAG, MAT_CUSPARSE_MULT, MAT_CUSPARSE_ALL} MatCUSPARSEFormatOperation;
1694 
1695 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1696 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1697 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat,MatCUSPARSEFormatOperation,MatCUSPARSEStorageFormat);
1698 #endif
1699 
1700 #if defined(PETSC_HAVE_CUSP)
1701 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1702 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1703 
1704 /*E
1705     MatCUSPStorageFormat - indicates the storage format for CUSP (GPU)
1706     matrices.
1707 
1708     Not Collective
1709 
1710 +   MAT_CUSP_CSR - Compressed Sparse Row
1711 .   MAT_CUSP_DIA - Diagonal
1712 -   MAT_CUSP_ELL - Ellpack
1713 
1714     Level: intermediate
1715 
1716    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1717 
1718 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1719 E*/
1720 typedef enum {MAT_CUSP_CSR, MAT_CUSP_DIA, MAT_CUSP_ELL} MatCUSPStorageFormat;
1721 
1722 /* these will be strings associated with enumerated type defined above */
1723 PETSC_EXTERN const char *const MatCUSPStorageFormats[];
1724 
1725 /*E
1726     MatCUSPFormatOperation - indicates the operation of CUSP (GPU)
1727     matrices whose operation should use a particular storage format.
1728 
1729     Not Collective
1730 
1731 +   MAT_CUSP_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1732 .   MAT_CUSP_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1733 .   MAT_CUSP_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1734 -   MAT_CUSP_ALL - sets the storage format for all CUSP (GPU) matrices
1735 
1736     Level: intermediate
1737 
1738    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1739 
1740 .seealso: MatCUSPSetFormat(), MatCUSPStorageFormat
1741 E*/
1742 typedef enum {MAT_CUSP_MULT_DIAG, MAT_CUSP_MULT_OFFDIAG, MAT_CUSP_MULT, MAT_CUSP_ALL} MatCUSPFormatOperation;
1743 
1744 PETSC_EXTERN PetscErrorCode MatCUSPSetFormat(Mat,MatCUSPFormatOperation,MatCUSPStorageFormat);
1745 #endif
1746 
1747 #if defined(PETSC_HAVE_VIENNACL)
1748 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1749 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1750 #endif
1751 
1752 /*
1753    PETSc interface to FFTW
1754 */
1755 #if defined(PETSC_HAVE_FFTW)
1756 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat,Vec,Vec);
1757 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat,Vec,Vec);
1758 PETSC_EXTERN PetscErrorCode MatCreateVecsFFTW(Mat,Vec*,Vec*,Vec*);
1759 #endif
1760 
1761 /*
1762    PETSc interface to ELEMENTAL
1763 */
1764 #if defined(PETSC_HAVE_ELEMENTAL)
1765 #if defined(PETSC_USE_COMPLEX)
1766 typedef El::Complex<PetscReal> PetscElemScalar;
1767 #else
1768 typedef PetscScalar PetscElemScalar;
1769 #endif
1770 PETSC_EXTERN PetscErrorCode PetscElementalInitializePackage(void);
1771 PETSC_EXTERN PetscErrorCode PetscElementalFinalizePackage(void);
1772 #endif
1773 
1774 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm,PetscInt,const IS[],PetscInt,const IS[],const Mat[],Mat*);
1775 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat,PetscInt*,PetscInt*);
1776 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat,IS[],IS[]);
1777 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat,IS[],IS[]);
1778 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat,PetscInt*,PetscInt*,Mat***);
1779 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat,PetscInt,PetscInt,Mat*);
1780 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat,VecType);
1781 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat,PetscInt,const IS[],PetscInt,const IS[],const Mat[]);
1782 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat,PetscInt,PetscInt,Mat);
1783 
1784 PETSC_EXTERN PetscErrorCode MatChop(Mat,PetscReal);
1785 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat,PetscReal,PetscInt*);
1786 
1787 PETSC_EXTERN PetscErrorCode MatSubdomainsCreateCoalesce(Mat,PetscInt,PetscInt*,IS**);
1788 
1789 #endif
1790