xref: /petsc/include/petscmat.h (revision e561ad89925ed9affda046f982075fc21ef1604f)
1 /*
2      Include file for the matrix component of PETSc
3 */
4 #ifndef __PETSCMAT_H
5 #define __PETSCMAT_H
6 #include <petscvec.h>
7 
8 /*S
9      Mat - Abstract PETSc matrix object used to manage all linear operators in PETSc, even those without
10            an explicit sparse representation (such as matrix-free operators)
11 
12    Level: beginner
13 
14   Concepts: matrix; linear operator
15 
16 .seealso:  MatCreate(), MatType, MatSetType(), MatDestroy()
17 S*/
18 typedef struct _p_Mat*           Mat;
19 
20 /*J
21     MatType - String with the name of a PETSc matrix type
22 
23    Level: beginner
24 
25 .seealso: MatSetType(), Mat, MatSolverPackage, MatRegister()
26 J*/
27 typedef const char* MatType;
28 #define MATSAME            "same"
29 #define MATMAIJ            "maij"
30 #define MATSEQMAIJ         "seqmaij"
31 #define MATMPIMAIJ         "mpimaij"
32 #define MATIS              "is"
33 #define MATAIJ             "aij"
34 #define MATSEQAIJ          "seqaij"
35 #define MATSEQAIJPTHREAD   "seqaijpthread"
36 #define MATAIJPTHREAD      "aijpthread"
37 #define MATMPIAIJ          "mpiaij"
38 #define MATAIJCRL          "aijcrl"
39 #define MATSEQAIJCRL       "seqaijcrl"
40 #define MATMPIAIJCRL       "mpiaijcrl"
41 #define MATAIJCUSP         "aijcusp"
42 #define MATSEQAIJCUSP      "seqaijcusp"
43 #define MATMPIAIJCUSP      "mpiaijcusp"
44 #define MATAIJCUSPARSE     "aijcusparse"
45 #define MATSEQAIJCUSPARSE  "seqaijcusparse"
46 #define MATMPIAIJCUSPARSE  "mpiaijcusparse"
47 #define MATAIJVIENNACL     "aijviennacl"
48 #define MATSEQAIJVIENNACL  "seqaijviennacl"
49 #define MATMPIAIJVIENNACL  "mpiaijviennacl"
50 #define MATAIJPERM         "aijperm"
51 #define MATSEQAIJPERM      "seqaijperm"
52 #define MATMPIAIJPERM      "mpiaijperm"
53 #define MATSHELL           "shell"
54 #define MATDENSE           "dense"
55 #define MATSEQDENSE        "seqdense"
56 #define MATMPIDENSE        "mpidense"
57 #define MATELEMENTAL       "elemental"
58 #define MATBAIJ            "baij"
59 #define MATSEQBAIJ         "seqbaij"
60 #define MATMPIBAIJ         "mpibaij"
61 #define MATMPIADJ          "mpiadj"
62 #define MATSBAIJ           "sbaij"
63 #define MATSEQSBAIJ        "seqsbaij"
64 #define MATMPISBAIJ        "mpisbaij"
65 #define MATSEQBSTRM        "seqbstrm"
66 #define MATMPIBSTRM        "mpibstrm"
67 #define MATBSTRM           "bstrm"
68 #define MATSEQSBSTRM       "seqsbstrm"
69 #define MATMPISBSTRM       "mpisbstrm"
70 #define MATSBSTRM          "sbstrm"
71 #define MATDAAD            "daad"
72 #define MATMFFD            "mffd"
73 #define MATNORMAL          "normal"
74 #define MATLRC             "lrc"
75 #define MATSCATTER         "scatter"
76 #define MATBLOCKMAT        "blockmat"
77 #define MATCOMPOSITE       "composite"
78 #define MATFFT             "fft"
79 #define MATFFTW            "fftw"
80 #define MATSEQCUFFT        "seqcufft"
81 #define MATTRANSPOSEMAT    "transpose"
82 #define MATSCHURCOMPLEMENT "schurcomplement"
83 #define MATPYTHON          "python"
84 #define MATHYPRESTRUCT     "hyprestruct"
85 #define MATHYPRESSTRUCT    "hypresstruct"
86 #define MATSUBMATRIX       "submatrix"
87 #define MATLOCALREF        "localref"
88 #define MATNEST            "nest"
89 
90 /*J
91     MatSolverPackage - String with the name of a PETSc matrix solver type.
92 
93     For example: "petsc" indicates what PETSc provides, "superlu" indicates either
94        SuperLU or SuperLU_Dist etc.
95 
96 
97    Level: beginner
98 
99 .seealso: MatGetFactor(), Mat, MatSetType(), MatType
100 J*/
101 #define MatSolverPackage char*
102 #define MATSOLVERSUPERLU      "superlu"
103 #define MATSOLVERSUPERLU_DIST "superlu_dist"
104 #define MATSOLVERUMFPACK      "umfpack"
105 #define MATSOLVERCHOLMOD      "cholmod"
106 #define MATSOLVERESSL         "essl"
107 #define MATSOLVERLUSOL        "lusol"
108 #define MATSOLVERMUMPS        "mumps"
109 #define MATSOLVERMKL_PARDISO  "mkl_pardiso"
110 #define MATSOLVERPASTIX       "pastix"
111 #define MATSOLVERMATLAB       "matlab"
112 #define MATSOLVERPETSC        "petsc"
113 #define MATSOLVERBAS          "bas"
114 #define MATSOLVERCUSPARSE     "cusparse"
115 #define MATSOLVERBSTRM        "bstrm"
116 #define MATSOLVERSBSTRM       "sbstrm"
117 #define MATSOLVERELEMENTAL    "elemental"
118 #define MATSOLVERCLIQUE       "clique"
119 #define MATSOLVERKLU          "klu"
120 
121 /*E
122     MatFactorType - indicates what type of factorization is requested
123 
124     Level: beginner
125 
126    Any additions/changes here MUST also be made in include/finclude/petscmat.h
127 
128 .seealso: MatSolverPackage, MatGetFactor()
129 E*/
130 typedef enum {MAT_FACTOR_NONE, MAT_FACTOR_LU, MAT_FACTOR_CHOLESKY, MAT_FACTOR_ILU, MAT_FACTOR_ICC,MAT_FACTOR_ILUDT} MatFactorType;
131 PETSC_EXTERN const char *const MatFactorTypes[];
132 
133 PETSC_EXTERN PetscErrorCode MatGetFactor(Mat,const MatSolverPackage,MatFactorType,Mat*);
134 PETSC_EXTERN PetscErrorCode MatGetFactorAvailable(Mat,const MatSolverPackage,MatFactorType,PetscBool *);
135 PETSC_EXTERN PetscErrorCode MatFactorGetSolverPackage(Mat,const MatSolverPackage*);
136 PETSC_EXTERN PetscErrorCode MatGetFactorType(Mat,MatFactorType*);
137 
138 /* Logging support */
139 #define    MAT_FILE_CLASSID 1211216    /* used to indicate matrices in binary files */
140 PETSC_EXTERN PetscClassId MAT_CLASSID;
141 PETSC_EXTERN PetscClassId MAT_COLORING_CLASSID;
142 PETSC_EXTERN PetscClassId MAT_FDCOLORING_CLASSID;
143 PETSC_EXTERN PetscClassId MAT_TRANSPOSECOLORING_CLASSID;
144 PETSC_EXTERN PetscClassId MAT_PARTITIONING_CLASSID;
145 PETSC_EXTERN PetscClassId MAT_COARSEN_CLASSID;
146 PETSC_EXTERN PetscClassId MAT_NULLSPACE_CLASSID;
147 PETSC_EXTERN PetscClassId MATMFFD_CLASSID;
148 
149 /*E
150     MatReuse - Indicates if matrices obtained from a previous call to MatGetSubMatrices()
151      or MatGetSubMatrix() are to be reused to store the new matrix values. For MatConvert() is used to indicate
152      that the input matrix is to be replaced with the converted matrix.
153 
154     Level: beginner
155 
156    Any additions/changes here MUST also be made in include/finclude/petscmat.h
157 
158 .seealso: MatGetSubMatrices(), MatGetSubMatrix(), MatDestroyMatrices(), MatConvert()
159 E*/
160 typedef enum {MAT_INITIAL_MATRIX,MAT_REUSE_MATRIX,MAT_IGNORE_MATRIX} MatReuse;
161 
162 /*E
163     MatGetSubMatrixOption - Indicates if matrices obtained from a call to MatGetSubMatrices()
164      include the matrix values. Currently it is only used by MatGetSeqNonzerostructure().
165 
166     Level: beginner
167 
168 .seealso: MatGetSeqNonzerostructure()
169 E*/
170 typedef enum {MAT_DO_NOT_GET_VALUES,MAT_GET_VALUES} MatGetSubMatrixOption;
171 
172 PETSC_EXTERN PetscErrorCode MatInitializePackage(void);
173 
174 PETSC_EXTERN PetscErrorCode MatCreate(MPI_Comm,Mat*);
175 PETSC_EXTERN PetscErrorCode MatSetSizes(Mat,PetscInt,PetscInt,PetscInt,PetscInt);
176 PETSC_EXTERN PetscErrorCode MatSetType(Mat,MatType);
177 PETSC_EXTERN PetscErrorCode MatSetFromOptions(Mat);
178 PETSC_STATIC_INLINE PetscErrorCode MatViewFromOptions(Mat A,const char prefix[],const char name[]) {return PetscObjectViewFromOptions((PetscObject)A,prefix,name);}
179 PETSC_EXTERN PetscErrorCode MatRegisterAll(void);
180 PETSC_EXTERN PetscErrorCode MatRegister(const char[],PetscErrorCode(*)(Mat));
181 PETSC_EXTERN PetscErrorCode MatRegisterBaseName(const char[],const char[],const char[]);
182 PETSC_EXTERN PetscErrorCode MatSetOptionsPrefix(Mat,const char[]);
183 PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefix(Mat,const char[]);
184 PETSC_EXTERN PetscErrorCode MatGetOptionsPrefix(Mat,const char*[]);
185 
186 PETSC_EXTERN PetscBool         MatRegisterAllCalled;
187 PETSC_EXTERN PetscFunctionList MatList;
188 PETSC_EXTERN PetscFunctionList MatColoringList;
189 PETSC_EXTERN PetscFunctionList MatPartitioningList;
190 PETSC_EXTERN PetscFunctionList MatCoarsenList;
191 
192 /*E
193     MatStructure - Indicates if two matrices have the same nonzero structure
194 
195     Level: beginner
196 
197    Any additions/changes here MUST also be made in include/finclude/petscmat.h
198 
199 .seealso: MatCopy(), MatAXPY()
200 E*/
201 typedef enum {DIFFERENT_NONZERO_PATTERN,SUBSET_NONZERO_PATTERN,SAME_NONZERO_PATTERN} MatStructure;
202 
203 PETSC_EXTERN PetscErrorCode MatCreateSeqDense(MPI_Comm,PetscInt,PetscInt,PetscScalar[],Mat*);
204 PETSC_EXTERN PetscErrorCode MatCreateDense(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar[],Mat*);
205 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
206 PETSC_EXTERN PetscErrorCode MatCreateAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
207 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
208 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSplitArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],PetscInt[],PetscInt[],PetscScalar[],Mat*);
209 
210 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
211 PETSC_EXTERN PetscErrorCode MatCreateBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
212 PETSC_EXTERN PetscErrorCode MatCreateMPIBAIJConcatenateSeqBAIJ(MPI_Comm,Mat,PetscInt,MatReuse,Mat*);
213 PETSC_EXTERN PetscErrorCode MatCreateMPIBAIJConcatenateSeqBAIJSymbolic(MPI_Comm,Mat,PetscInt,Mat*);
214 PETSC_EXTERN PetscErrorCode MatCreateMPIBAIJConcatenateSeqBAIJNumeric(MPI_Comm,Mat,PetscInt,Mat);
215 PETSC_EXTERN PetscErrorCode MatCreateMPIBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat*);
216 
217 PETSC_EXTERN PetscErrorCode MatCreateMPIAdj(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscInt[],Mat*);
218 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
219 
220 PETSC_EXTERN PetscErrorCode MatCreateSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
221 PETSC_EXTERN PetscErrorCode MatCreateMPISBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
222 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
223 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
224 PETSC_EXTERN PetscErrorCode MatXAIJSetPreallocation(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscInt[],const PetscInt[]);
225 
226 PETSC_EXTERN PetscErrorCode MatCreateShell(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,void *,Mat*);
227 PETSC_EXTERN PetscErrorCode MatCreateNormal(Mat,Mat*);
228 PETSC_EXTERN PetscErrorCode MatCreateLRC(Mat,Mat,Mat,Mat*);
229 PETSC_EXTERN PetscErrorCode MatCreateIS(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,ISLocalToGlobalMapping,Mat*);
230 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
231 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
232 
233 PETSC_EXTERN PetscErrorCode MatCreateSeqBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
234 PETSC_EXTERN PetscErrorCode MatCreateMPIBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
235 PETSC_EXTERN PetscErrorCode MatCreateSeqSBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
236 PETSC_EXTERN PetscErrorCode MatCreateMPISBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
237 
238 PETSC_EXTERN PetscErrorCode MatCreateScatter(MPI_Comm,VecScatter,Mat*);
239 PETSC_EXTERN PetscErrorCode MatScatterSetVecScatter(Mat,VecScatter);
240 PETSC_EXTERN PetscErrorCode MatScatterGetVecScatter(Mat,VecScatter*);
241 PETSC_EXTERN PetscErrorCode MatCreateBlockMat(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt*,Mat*);
242 PETSC_EXTERN PetscErrorCode MatCompositeAddMat(Mat,Mat);
243 PETSC_EXTERN PetscErrorCode MatCompositeMerge(Mat);
244 PETSC_EXTERN PetscErrorCode MatCreateComposite(MPI_Comm,PetscInt,const Mat*,Mat*);
245 typedef enum {MAT_COMPOSITE_ADDITIVE,MAT_COMPOSITE_MULTIPLICATIVE} MatCompositeType;
246 PETSC_EXTERN PetscErrorCode MatCompositeSetType(Mat,MatCompositeType);
247 
248 PETSC_EXTERN PetscErrorCode MatCreateFFT(MPI_Comm,PetscInt,const PetscInt[],MatType,Mat*);
249 PETSC_EXTERN PetscErrorCode MatCreateSeqCUFFT(MPI_Comm,PetscInt,const PetscInt[],Mat*);
250 
251 PETSC_EXTERN PetscErrorCode MatCreateTranspose(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/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 = -5,
327               MAT_NEW_NONZERO_LOCATION_ERR = -4,
328               MAT_UNUSED_NONZERO_LOCATION_ERR = -3,
329               MAT_NEW_NONZERO_ALLOCATION_ERR = -2,
330               MAT_ROW_ORIENTED = -1,
331               MAT_SYMMETRIC = 1,
332               MAT_STRUCTURALLY_SYMMETRIC = 2,
333               MAT_NEW_DIAGONALS = 3,
334               MAT_IGNORE_OFF_PROC_ENTRIES = 4,
335               MAT_USE_HASH_TABLE = 5,
336               MAT_KEEP_NONZERO_PATTERN = 6,
337               MAT_IGNORE_ZERO_ENTRIES = 7,
338               MAT_USE_INODES = 8,
339               MAT_HERMITIAN = 9,
340               MAT_SYMMETRY_ETERNAL = 10,
341               MAT_DUMMY = 11,
342               MAT_IGNORE_LOWER_TRIANGULAR = 12,
343               MAT_ERROR_LOWER_TRIANGULAR = 13,
344               MAT_GETROW_UPPERTRIANGULAR = 14,
345               MAT_SPD = 15,
346               MAT_NO_OFF_PROC_ZERO_ROWS = 16,
347               MAT_NO_OFF_PROC_ENTRIES = 17,
348               MAT_NEW_NONZERO_LOCATIONS = 18,
349               MAT_OPTION_MAX = 19} MatOption;
350 
351 PETSC_EXTERN const char *MatOptions[];
352 PETSC_EXTERN PetscErrorCode MatSetOption(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/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/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 MatCreateMPIAIJConcatenateSeqAIJ(MPI_Comm,Mat,PetscInt,MatReuse,Mat*);
504 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJConcatenateSeqAIJSymbolic(MPI_Comm,Mat,PetscInt,Mat*);
505 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJConcatenateSeqAIJNumeric(MPI_Comm,Mat,PetscInt,Mat);
506 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm,Mat,PetscInt,PetscInt,MatReuse,Mat*);
507 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm,Mat,PetscInt,PetscInt,Mat*);
508 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat,Mat);
509 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat,MatReuse,Mat*);
510 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat,MatReuse,IS*,IS*,Mat*);
511 PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat,Mat,MatReuse,IS*,IS*,Mat*);
512 PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *,const PetscInt *[]);
513 
514 PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat,PetscInt,IS[],PetscInt);
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 MatGetRedundantMatrix(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 
567 /*MC
568    MatSetValue - Set a single entry into a matrix.
569 
570    Not collective
571 
572    Synopsis:
573      #include <petscmat.h>
574      PetscErrorCode MatSetValue(Mat m,PetscInt row,PetscInt col,PetscScalar value,InsertMode mode)
575 
576    Input Parameters:
577 +  m - the matrix
578 .  row - the row location of the entry
579 .  col - the column location of the entry
580 .  value - the value to insert
581 -  mode - either INSERT_VALUES or ADD_VALUES
582 
583    Notes:
584    For efficiency one should use MatSetValues() and set several or many
585    values simultaneously if possible.
586 
587    Level: beginner
588 
589 .seealso: MatSetValues(), MatSetValueLocal()
590 M*/
591 PETSC_STATIC_INLINE PetscErrorCode MatSetValue(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValues(v,1,&i,1,&j,&va,mode);}
592 
593 PETSC_STATIC_INLINE PetscErrorCode MatGetValue(Mat v,PetscInt i,PetscInt j,PetscScalar *va) {return MatGetValues(v,1,&i,1,&j,va);}
594 
595 PETSC_STATIC_INLINE PetscErrorCode MatSetValueLocal(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValuesLocal(v,1,&i,1,&j,&va,mode);}
596 
597 /*MC
598    MatPreallocateInitialize - Begins the block of code that will count the number of nonzeros per
599        row in a matrix providing the data that one can use to correctly preallocate the matrix.
600 
601    Synopsis:
602    #include <petscmat.h>
603    PetscErrorCode MatPreallocateInitialize(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
604 
605    Collective on MPI_Comm
606 
607    Input Parameters:
608 +  comm - the communicator that will share the eventually allocated matrix
609 .  nrows - the number of LOCAL rows in the matrix
610 -  ncols - the number of LOCAL columns in the matrix
611 
612    Output Parameters:
613 +  dnz - the array that will be passed to the matrix preallocation routines
614 -  ozn - the other array passed to the matrix preallocation routines
615 
616    Level: intermediate
617 
618    Notes:
619     See Users-Manual: ch_performance for more details.
620 
621    Do not malloc or free dnz and onz, that is handled internally by these routines
622 
623    Use MatPreallocateInitializeSymmetric() for symmetric matrices (MPISBAIJ matrices)
624 
625    This is a MACRO not a function because it has a leading { that is closed by PetscPreallocateFinalize().
626 
627   Concepts: preallocation^Matrix
628 
629 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
630           MatPreallocateInitializeSymmetric(), MatPreallocateSymmetricSetLocalBlock()
631 M*/
632 #define MatPreallocateInitialize(comm,nrows,ncols,dnz,onz) 0; \
633 { \
634   PetscErrorCode _4_ierr; PetscInt __nrows = (nrows),__ctmp = (ncols),__rstart,__start,__end; \
635   _4_ierr = PetscCalloc2(__nrows,&dnz,__nrows,&onz);CHKERRQ(_4_ierr); \
636   __start = 0; __end = __start;                                         \
637   _4_ierr = MPI_Scan(&__ctmp,&__end,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __start = __end - __ctmp;\
638   _4_ierr = MPI_Scan(&__nrows,&__rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __nrows;
639 
640 /*MC
641    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
642        inserted using a local number of the rows and columns
643 
644    Synopsis:
645    #include <petscmat.h>
646    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
647 
648    Not Collective
649 
650    Input Parameters:
651 +  map - the row mapping from local numbering to global numbering
652 .  nrows - the number of rows indicated
653 .  rows - the indices of the rows
654 .  cmap - the column mapping from local to global numbering
655 .  ncols - the number of columns in the matrix
656 .  cols - the columns indicated
657 .  dnz - the array that will be passed to the matrix preallocation routines
658 -  ozn - the other array passed to the matrix preallocation routines
659 
660    Level: intermediate
661 
662    Notes:
663     See Users-Manual: ch_performance for more details.
664 
665    Do not malloc or free dnz and onz, that is handled internally by these routines
666 
667   Concepts: preallocation^Matrix
668 
669 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
670           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock()
671 M*/
672 #define MatPreallocateSetLocal(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
673 {\
674   PetscInt __l;\
675   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
676   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
677   for (__l=0;__l<nrows;__l++) {\
678     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
679   }\
680 }
681 
682 /*MC
683    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
684        inserted using a local number of the rows and columns
685 
686    Synopsis:
687    #include <petscmat.h>
688    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
689 
690    Not Collective
691 
692    Input Parameters:
693 +  map - the row mapping from local numbering to global numbering
694 .  nrows - the number of rows indicated
695 .  rows - the indices of the rows
696 .  cmap - the column mapping from local to global numbering
697 .  ncols - the number of columns in the matrix
698 .  cols - the columns indicated
699 .  dnz - the array that will be passed to the matrix preallocation routines
700 -  ozn - the other array passed to the matrix preallocation routines
701 
702    Level: intermediate
703 
704    Notes:
705     See Users-Manual: ch_performance for more details.
706 
707    Do not malloc or free dnz and onz, that is handled internally by these routines
708 
709   Concepts: preallocation^Matrix
710 
711 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
712           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock()
713 M*/
714 #define MatPreallocateSetLocalBlock(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
715 {\
716   PetscInt __l;\
717   _4_ierr = ISLocalToGlobalMappingApplyBlock(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
718   _4_ierr = ISLocalToGlobalMappingApplyBlock(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
719   for (__l=0;__l<nrows;__l++) {\
720     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
721   }\
722 }
723 
724 /*MC
725    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
726        inserted using a local number of the rows and columns
727 
728    Synopsis:
729    #include <petscmat.h>
730    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
731 
732    Not Collective
733 
734    Input Parameters:
735 +  map - the mapping between local numbering and global numbering
736 .  nrows - the number of rows indicated
737 .  rows - the indices of the rows
738 .  ncols - the number of columns in the matrix
739 .  cols - the columns indicated
740 .  dnz - the array that will be passed to the matrix preallocation routines
741 -  ozn - the other array passed to the matrix preallocation routines
742 
743    Level: intermediate
744 
745    Notes:
746     See Users-Manual: ch_performance for more details.
747 
748    Do not malloc or free dnz and onz that is handled internally by these routines
749 
750   Concepts: preallocation^Matrix
751 
752 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateInitialize(),
753           MatPreallocateInitialize(),  MatPreallocateSetLocal()
754 M*/
755 #define MatPreallocateSymmetricSetLocalBlock(map,nrows,rows,ncols,cols,dnz,onz) 0;\
756 {\
757   PetscInt __l;\
758   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
759   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
760   for (__l=0;__l<nrows;__l++) {\
761     _4_ierr = MatPreallocateSymmetricSetBlock((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
762   }\
763 }
764 /*MC
765    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
766        inserted using a local number of the rows and columns
767 
768    Synopsis:
769    #include <petscmat.h>
770    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
771 
772    Not Collective
773 
774    Input Parameters:
775 +  row - the row
776 .  ncols - the number of columns in the matrix
777 -  cols - the columns indicated
778 
779    Output Parameters:
780 +  dnz - the array that will be passed to the matrix preallocation routines
781 -  ozn - the other array passed to the matrix preallocation routines
782 
783    Level: intermediate
784 
785    Notes:
786     See Users-Manual: ch_performance for more details.
787 
788    Do not malloc or free dnz and onz that is handled internally by these routines
789 
790    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
791 
792   Concepts: preallocation^Matrix
793 
794 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
795           MatPreallocateInitialize(), MatPreallocateSetLocal()
796 M*/
797 #define MatPreallocateSet(row,nc,cols,dnz,onz) 0;\
798 { PetscInt __i; \
799   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);\
800   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);\
801   for (__i=0; __i<nc; __i++) {\
802     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
803     else dnz[row - __rstart]++;\
804   }\
805 }
806 
807 /*MC
808    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
809        inserted using a local number of the rows and columns
810 
811    Synopsis:
812    #include <petscmat.h>
813    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
814 
815    Not Collective
816 
817    Input Parameters:
818 +  nrows - the number of rows indicated
819 .  rows - the indices of the rows
820 .  ncols - the number of columns in the matrix
821 .  cols - the columns indicated
822 .  dnz - the array that will be passed to the matrix preallocation routines
823 -  ozn - the other array passed to the matrix preallocation routines
824 
825    Level: intermediate
826 
827    Notes:
828     See Users-Manual: ch_performance for more details.
829 
830    Do not malloc or free dnz and onz that is handled internally by these routines
831 
832    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
833 
834   Concepts: preallocation^Matrix
835 
836 .seealso: MatPreallocateFinalize(), MatPreallocateSet(),  MatPreallocateInitialize(),
837           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
838 M*/
839 #define MatPreallocateSymmetricSetBlock(row,nc,cols,dnz,onz) 0;\
840 { PetscInt __i; \
841   for (__i=0; __i<nc; __i++) {\
842     if (cols[__i] >= __end) onz[row - __rstart]++; \
843     else if (cols[__i] >= row) dnz[row - __rstart]++;\
844   }\
845 }
846 
847 /*MC
848    MatPreallocateLocation -  An alternative to MatPreallocationSet() that puts the nonzero locations into the matrix if it exists
849 
850    Synopsis:
851    #include <petscmat.h>
852    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
853 
854    Not Collective
855 
856    Input Parameters:
857 .  A - matrix
858 .  row - row where values exist (must be local to this process)
859 .  ncols - number of columns
860 .  cols - columns with nonzeros
861 .  dnz - the array that will be passed to the matrix preallocation routines
862 -  ozn - the other array passed to the matrix preallocation routines
863 
864    Level: intermediate
865 
866    Notes:
867     See Users-Manual: ch_performance for more details.
868 
869    Do not malloc or free dnz and onz that is handled internally by these routines
870 
871    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
872 
873   Concepts: preallocation^Matrix
874 
875 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
876           MatPreallocateSymmetricSetLocalBlock()
877 M*/
878 #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);}
879 
880 
881 /*MC
882    MatPreallocateFinalize - Ends the block of code that will count the number of nonzeros per
883        row in a matrix providing the data that one can use to correctly preallocate the matrix.
884 
885    Synopsis:
886    #include <petscmat.h>
887    PetscErrorCode MatPreallocateFinalize(PetscInt *dnz, PetscInt *onz)
888 
889    Collective on MPI_Comm
890 
891    Input Parameters:
892 +  dnz - the array that was be passed to the matrix preallocation routines
893 -  ozn - the other array passed to the matrix preallocation routines
894 
895    Level: intermediate
896 
897    Notes:
898     See Users-Manual: ch_performance for more details.
899 
900    Do not malloc or free dnz and onz that is handled internally by these routines
901 
902    This is a MACRO not a function because it closes the { started in MatPreallocateInitialize().
903 
904   Concepts: preallocation^Matrix
905 
906 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
907           MatPreallocateSymmetricSetLocalBlock()
908 M*/
909 #define MatPreallocateFinalize(dnz,onz) 0;_4_ierr = PetscFree2(dnz,onz);CHKERRQ(_4_ierr);}
910 
911 /* Routines unique to particular data structures */
912 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat,void *);
913 
914 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat,IS*,IS*);
915 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat,PetscInt *,PetscInt *[],PetscInt *);
916 
917 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat,PetscInt[]);
918 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat,PetscInt[]);
919 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
920 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
921 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
922 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*,PetscInt,PetscBool);
923 
924 #define MAT_SKIP_ALLOCATION -4
925 
926 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
927 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
928 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat,PetscInt,const PetscInt[]);
929 
930 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
931 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
932 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
933 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat,const PetscInt [],const PetscInt [],const PetscScalar []);
934 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
935 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]);
936 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
937 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat,PetscInt[],PetscInt[],PetscInt[]);
938 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
939 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
940 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
941 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
942 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat,Mat*);
943 
944 PETSC_EXTERN PetscErrorCode MatSeqDenseSetLDA(Mat,PetscInt);
945 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat,Mat*);
946 
947 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
948 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
949 
950 PETSC_EXTERN PetscErrorCode MatDAADSetCtx(Mat,void*);
951 
952 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat,IS*);
953 /*
954   These routines are not usually accessed directly, rather solving is
955   done through the KSP and PC interfaces.
956 */
957 
958 /*J
959     MatOrderingType - String with the name of a PETSc matrix ordering
960 
961    Level: beginner
962 
963 .seealso: MatGetOrdering()
964 J*/
965 typedef const char* MatOrderingType;
966 #define MATORDERINGNATURAL     "natural"
967 #define MATORDERINGND          "nd"
968 #define MATORDERING1WD         "1wd"
969 #define MATORDERINGRCM         "rcm"
970 #define MATORDERINGQMD         "qmd"
971 #define MATORDERINGROWLENGTH   "rowlength"
972 #define MATORDERINGWBM         "wbm"
973 #define MATORDERINGSPECTRAL    "spectral"
974 #define MATORDERINGAMD         "amd"            /* only works if UMFPACK is installed with PETSc */
975 
976 PETSC_EXTERN PetscErrorCode MatGetOrdering(Mat,MatOrderingType,IS*,IS*);
977 PETSC_EXTERN PetscErrorCode MatGetOrderingList(PetscFunctionList*);
978 PETSC_EXTERN PetscErrorCode MatOrderingRegister(const char[],PetscErrorCode(*)(Mat,MatOrderingType,IS*,IS*));
979 PETSC_EXTERN PetscErrorCode MatOrderingRegisterAll(void);
980 PETSC_EXTERN PetscBool         MatOrderingRegisterAllCalled;
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
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/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/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 MatColoringRegisterAll(void);
1128 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[],PetscErrorCode(*)(MatColoring));
1129 PETSC_EXTERN PetscBool MatColoringRegisterAllCalled;
1130 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat,PetscInt,PetscInt,ISColoringValue[],ISColoring*);
1131 PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring,MatColoringWeightType);
1132 PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring,PetscReal*,PetscInt*);
1133 PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring,PetscReal **,PetscInt **lperm);
1134 
1135 /*S
1136      MatFDColoring - Object for computing a sparse Jacobian via finite differences
1137         and coloring
1138 
1139    Level: beginner
1140 
1141   Concepts: coloring, sparse Jacobian, finite differences
1142 
1143 .seealso:  MatFDColoringCreate()
1144 S*/
1145 typedef struct _p_MatFDColoring* MatFDColoring;
1146 
1147 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
1148 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring*);
1149 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring,PetscViewer);
1150 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring,PetscErrorCode (*)(void),void*);
1151 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring,PetscErrorCode (**)(void),void**);
1152 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
1153 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1154 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat,MatFDColoring,Vec,void *);
1155 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring,Vec);
1156 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring,PetscInt*,PetscInt*[]);
1157 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat,ISColoring,MatFDColoring);
1158 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring,PetscInt,PetscInt);
1159 
1160 
1161 /*S
1162      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring
1163 
1164    Level: beginner
1165 
1166   Concepts: coloring, sparse matrix product
1167 
1168 .seealso:  MatTransposeColoringCreate()
1169 S*/
1170 typedef struct _p_MatTransposeColoring* MatTransposeColoring;
1171 
1172 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat,ISColoring,MatTransposeColoring *);
1173 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring,Mat,Mat);
1174 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring,Mat,Mat);
1175 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring*);
1176 
1177 /*
1178     These routines are for partitioning matrices: currently used only
1179   for adjacency matrix, MatCreateMPIAdj().
1180 */
1181 
1182 /*S
1183      MatPartitioning - Object for managing the partitioning of a matrix or graph
1184 
1185    Level: beginner
1186 
1187   Concepts: partitioning
1188 
1189 .seealso:  MatPartitioningCreate(), MatPartitioningType
1190 S*/
1191 typedef struct _p_MatPartitioning* MatPartitioning;
1192 
1193 /*J
1194     MatPartitioningType - String with the name of a PETSc matrix partitioning
1195 
1196    Level: beginner
1197 dm
1198 .seealso: MatPartitioningCreate(), MatPartitioning
1199 J*/
1200 typedef const char* MatPartitioningType;
1201 #define MATPARTITIONINGCURRENT  "current"
1202 #define MATPARTITIONINGSQUARE   "square"
1203 #define MATPARTITIONINGPARMETIS "parmetis"
1204 #define MATPARTITIONINGCHACO    "chaco"
1205 #define MATPARTITIONINGPARTY    "party"
1206 #define MATPARTITIONINGPTSCOTCH "ptscotch"
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 PETSC_EXTERN PetscBool MatPartitioningRegisterAllCalled;
1221 
1222 PETSC_EXTERN PetscErrorCode MatPartitioningRegisterAll(void);
1223 
1224 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning,PetscViewer);
1225 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1226 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
1227 
1228 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1229 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1230 
1231 typedef enum { MP_CHACO_MULTILEVEL=1,MP_CHACO_SPECTRAL=2,MP_CHACO_LINEAR=4,MP_CHACO_RANDOM=5,MP_CHACO_SCATTERED=6 } MPChacoGlobalType;
1232 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1233 typedef enum { MP_CHACO_KERNIGHAN=1,MP_CHACO_NONE=2 } MPChacoLocalType;
1234 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1235 typedef enum { MP_CHACO_LANCZOS=0,MP_CHACO_RQI=1 } MPChacoEigenType;
1236 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1237 
1238 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning,MPChacoGlobalType);
1239 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning,MPChacoGlobalType*);
1240 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning,MPChacoLocalType);
1241 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning,MPChacoLocalType*);
1242 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning,PetscReal);
1243 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning,MPChacoEigenType);
1244 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning,MPChacoEigenType*);
1245 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning,PetscReal);
1246 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning,PetscReal*);
1247 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning,PetscInt);
1248 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning,PetscInt*);
1249 
1250 #define MP_PARTY_OPT "opt"
1251 #define MP_PARTY_LIN "lin"
1252 #define MP_PARTY_SCA "sca"
1253 #define MP_PARTY_RAN "ran"
1254 #define MP_PARTY_GBF "gbf"
1255 #define MP_PARTY_GCF "gcf"
1256 #define MP_PARTY_BUB "bub"
1257 #define MP_PARTY_DEF "def"
1258 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning,const char*);
1259 #define MP_PARTY_HELPFUL_SETS "hs"
1260 #define MP_PARTY_KERNIGHAN_LIN "kl"
1261 #define MP_PARTY_NONE "no"
1262 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning,const char*);
1263 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning,PetscReal);
1264 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning,PetscBool);
1265 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning,PetscBool);
1266 
1267 typedef enum { MP_PTSCOTCH_QUALITY,MP_PTSCOTCH_SPEED,MP_PTSCOTCH_BALANCE,MP_PTSCOTCH_SAFETY,MP_PTSCOTCH_SCALABILITY } MPPTScotchStrategyType;
1268 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1269 
1270 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning,PetscReal);
1271 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning,PetscReal*);
1272 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning,MPPTScotchStrategyType);
1273 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning,MPPTScotchStrategyType*);
1274 
1275 /*
1276     These routines are for coarsening matrices:
1277 */
1278 
1279 /*S
1280      MatCoarsen - Object for managing the coarsening of a graph (symmetric matrix)
1281 
1282    Level: beginner
1283 
1284   Concepts: coarsen
1285 
1286 .seealso:  MatCoarsenCreate), MatCoarsenType
1287 S*/
1288 typedef struct _p_MatCoarsen* MatCoarsen;
1289 
1290 /*J
1291     MatCoarsenType - String with the name of a PETSc matrix coarsen
1292 
1293    Level: beginner
1294 
1295 .seealso: MatCoarsenCreate(), MatCoarsen
1296 J*/
1297 typedef const char* MatCoarsenType;
1298 #define MATCOARSENMIS  "mis"
1299 #define MATCOARSENHEM  "hem"
1300 
1301 /* linked list for aggregates */
1302 typedef struct _PetscCDIntNd{
1303   struct _PetscCDIntNd *next;
1304   PetscInt             gid;
1305 }PetscCDIntNd;
1306 
1307 /* only used by node pool */
1308 typedef struct _PetscCDArrNd{
1309   struct _PetscCDArrNd *next;
1310   struct _PetscCDIntNd *array;
1311 }PetscCDArrNd;
1312 
1313 typedef struct _PetscCoarsenData{
1314   PetscCDArrNd pool_list;  /* node pool */
1315   PetscCDIntNd *new_node;
1316   PetscInt     new_left;
1317   PetscInt     chk_sz;
1318   PetscCDIntNd *extra_nodes;
1319   PetscCDIntNd **array;  /* Array of lists */
1320   PetscInt     size;
1321   Mat          mat;  /* cache a Mat for communication data */
1322 }PetscCoarsenData;
1323 
1324 PETSC_EXTERN PetscErrorCode MatCoarsenCreate(MPI_Comm,MatCoarsen*);
1325 PETSC_EXTERN PetscErrorCode MatCoarsenSetType(MatCoarsen,MatCoarsenType);
1326 PETSC_EXTERN PetscErrorCode MatCoarsenSetAdjacency(MatCoarsen,Mat);
1327 PETSC_EXTERN PetscErrorCode MatCoarsenSetGreedyOrdering(MatCoarsen,const IS);
1328 PETSC_EXTERN PetscErrorCode MatCoarsenSetStrictAggs(MatCoarsen,PetscBool);
1329 PETSC_EXTERN PetscErrorCode MatCoarsenSetVerbose(MatCoarsen,PetscInt);
1330 PETSC_EXTERN PetscErrorCode MatCoarsenGetData( MatCoarsen, PetscCoarsenData ** );
1331 PETSC_EXTERN PetscErrorCode MatCoarsenApply(MatCoarsen);
1332 PETSC_EXTERN PetscErrorCode MatCoarsenDestroy(MatCoarsen*);
1333 
1334 PETSC_EXTERN PetscErrorCode MatCoarsenRegister(const char[],PetscErrorCode (*)(MatCoarsen));
1335 
1336 PETSC_EXTERN PetscBool MatCoarsenRegisterAllCalled;
1337 
1338 PETSC_EXTERN PetscErrorCode MatCoarsenRegisterAll(void);
1339 
1340 PETSC_EXTERN PetscErrorCode MatCoarsenView(MatCoarsen,PetscViewer);
1341 PETSC_EXTERN PetscErrorCode MatCoarsenSetFromOptions(MatCoarsen);
1342 PETSC_EXTERN PetscErrorCode MatCoarsenGetType(MatCoarsen,MatCoarsenType*);
1343 PETSC_STATIC_INLINE PetscErrorCode MatCoarsenViewFromOptions(MatCoarsen A,const char prefix[],const char name[]) {return PetscObjectViewFromOptions((PetscObject)A,prefix,name);}
1344 
1345 PETSC_EXTERN PetscErrorCode MatMeshToVertexGraph(Mat,PetscInt,Mat*);
1346 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat,PetscInt,Mat*);
1347 
1348 /*
1349     If you add entries here you must also add them to finclude/petscmat.h
1350 */
1351 typedef enum { MATOP_SET_VALUES=0,
1352                MATOP_GET_ROW=1,
1353                MATOP_RESTORE_ROW=2,
1354                MATOP_MULT=3,
1355                MATOP_MULT_ADD=4,
1356                MATOP_MULT_TRANSPOSE=5,
1357                MATOP_MULT_TRANSPOSE_ADD=6,
1358                MATOP_SOLVE=7,
1359                MATOP_SOLVE_ADD=8,
1360                MATOP_SOLVE_TRANSPOSE=9,
1361                MATOP_SOLVE_TRANSPOSE_ADD=10,
1362                MATOP_LUFACTOR=11,
1363                MATOP_CHOLESKYFACTOR=12,
1364                MATOP_SOR=13,
1365                MATOP_TRANSPOSE=14,
1366                MATOP_GETINFO=15,
1367                MATOP_EQUAL=16,
1368                MATOP_GET_DIAGONAL=17,
1369                MATOP_DIAGONAL_SCALE=18,
1370                MATOP_NORM=19,
1371                MATOP_ASSEMBLY_BEGIN=20,
1372                MATOP_ASSEMBLY_END=21,
1373                MATOP_SET_OPTION=22,
1374                MATOP_ZERO_ENTRIES=23,
1375                MATOP_ZERO_ROWS=24,
1376                MATOP_LUFACTOR_SYMBOLIC=25,
1377                MATOP_LUFACTOR_NUMERIC=26,
1378                MATOP_CHOLESKY_FACTOR_SYMBOLIC=27,
1379                MATOP_CHOLESKY_FACTOR_NUMERIC=28,
1380                MATOP_SETUP_PREALLOCATION=29,
1381                MATOP_ILUFACTOR_SYMBOLIC=30,
1382                MATOP_ICCFACTOR_SYMBOLIC=31,
1383                /* MATOP_PLACEHOLDER_32=32, */
1384                /* MATOP_PLACEHOLDER_33=33, */
1385                MATOP_DUPLICATE=34,
1386                MATOP_FORWARD_SOLVE=35,
1387                MATOP_BACKWARD_SOLVE=36,
1388                MATOP_ILUFACTOR=37,
1389                MATOP_ICCFACTOR=38,
1390                MATOP_AXPY=39,
1391                MATOP_GET_SUBMATRICES=40,
1392                MATOP_INCREASE_OVERLAP=41,
1393                MATOP_GET_VALUES=42,
1394                MATOP_COPY=43,
1395                MATOP_GET_ROW_MAX=44,
1396                MATOP_SCALE=45,
1397                MATOP_SHIFT=46,
1398                MATOP_DIAGONAL_SET=47,
1399                MATOP_ZERO_ROWS_COLUMNS=48,
1400                MATOP_SET_RANDOM=49,
1401                MATOP_GET_ROW_IJ=50,
1402                MATOP_RESTORE_ROW_IJ=51,
1403                MATOP_GET_COLUMN_IJ=52,
1404                MATOP_RESTORE_COLUMN_IJ=53,
1405                MATOP_FDCOLORING_CREATE=54,
1406                MATOP_COLORING_PATCH=55,
1407                MATOP_SET_UNFACTORED=56,
1408                MATOP_PERMUTE=57,
1409                MATOP_SET_VALUES_BLOCKED=58,
1410                MATOP_GET_SUBMATRIX=59,
1411                MATOP_DESTROY=60,
1412                MATOP_VIEW=61,
1413                MATOP_CONVERT_FROM=62,
1414                MATOP_MATMAT_MULT=63,
1415                MATOP_MATMAT_MULT_SYMBOLIC=64,
1416                MATOP_MATMAT_MULT_NUMERIC=65,
1417                MATOP_SET_LOCAL_TO_GLOBAL_MAP=66,
1418                MATOP_SET_VALUES_LOCAL=67,
1419                MATOP_ZERO_ROWS_LOCAL=68,
1420                MATOP_GET_ROW_MAX_ABS=69,
1421                MATOP_GET_ROW_MIN_ABS=70,
1422                MATOP_CONVERT=71,
1423                MATOP_SET_COLORING=72,
1424                /* MATOP_PLACEHOLDER_73=73, */
1425                MATOP_SET_VALUES_ADIFOR=74,
1426                MATOP_FD_COLORING_APPLY=75,
1427                MATOP_SET_FROM_OPTIONS=76,
1428                MATOP_MULT_CONSTRAINED=77,
1429                MATOP_MULT_TRANSPOSE_CONSTRAIN=78,
1430                MATOP_FIND_ZERO_DIAGONALS=79,
1431                MATOP_MULT_MULTIPLE=80,
1432                MATOP_SOLVE_MULTIPLE=81,
1433                MATOP_GET_INERTIA=82,
1434                MATOP_LOAD=83,
1435                MATOP_IS_SYMMETRIC=84,
1436                MATOP_IS_HERMITIAN=85,
1437                MATOP_IS_STRUCTURALLY_SYMMETRIC=86,
1438                MATOP_SET_VALUES_BLOCKEDLOCAL=87,
1439                MATOP_GET_VECS=88,
1440                MATOP_MAT_MULT=89,
1441                MATOP_MAT_MULT_SYMBOLIC=90,
1442                MATOP_MAT_MULT_NUMERIC=91,
1443                MATOP_PTAP=92,
1444                MATOP_PTAP_SYMBOLIC=93,
1445                MATOP_PTAP_NUMERIC=94,
1446                MATOP_MAT_TRANSPOSE_MULT=95,
1447                MATOP_MAT_TRANSPOSE_MULT_SYMBO=96,
1448                MATOP_MAT_TRANSPOSE_MULT_NUMER=97,
1449                /* MATOP_PLACEHOLDER_98=98, */
1450                /* MATOP_PLACEHOLDER_99=99, */
1451                /* MATOP_PLACEHOLDER_100=100, */
1452                /* MATOP_PLACEHOLDER_101=101, */
1453                MATOP_CONJUGATE=102,
1454                /* MATOP_PLACEHOLDER_103=103, */
1455                MATOP_SET_VALUES_ROW=104,
1456                MATOP_REAL_PART=105,
1457                MATOP_IMAGINARY_PART=106,
1458                MATOP_GET_ROW_UPPER_TRIANGULAR=107,
1459                MATOP_RESTORE_ROW_UPPER_TRIANG=108,
1460                MATOP_MAT_SOLVE=109,
1461                MATOP_GET_REDUNDANT_MATRIX=110,
1462                MATOP_GET_ROW_MIN=111,
1463                MATOP_GET_COLUMN_VECTOR=112,
1464                MATOP_MISSING_DIAGONAL=113,
1465                MATOP_GET_SEQ_NONZERO_STRUCTUR=114,
1466                MATOP_CREATE=115,
1467                MATOP_GET_GHOSTS=116,
1468                MATOP_GET_LOCAL_SUB_MATRIX=117,
1469                MATOP_RESTORE_LOCALSUB_MATRIX=118,
1470                MATOP_MULT_DIAGONAL_BLOCK=119,
1471                MATOP_HERMITIAN_TRANSPOSE=120,
1472                MATOP_MULT_HERMITIAN_TRANSPOSE=121,
1473                MATOP_MULT_HERMITIAN_TRANS_ADD=122,
1474                MATOP_GET_MULTI_PROC_BLOCK=123,
1475                MATOP_FIND_NONZERO_ROWS=124,
1476                MATOP_GET_COLUMN_NORMS=125,
1477                MATOP_INVERT_BLOCK_DIAGONAL=126,
1478                /* MATOP_PLACEHOLDER_127=127, */
1479                MATOP_GET_SUB_MATRICES_PARALLE=128,
1480                MATOP_SET_VALUES_BATCH=129,
1481                MATOP_TRANSPOSE_MAT_MULT=130,
1482                MATOP_TRANSPOSE_MAT_MULT_SYMBO=131,
1483                MATOP_TRANSPOSE_MAT_MULT_NUMER=132,
1484                MATOP_TRANSPOSE_COLORING_CREAT=133,
1485                MATOP_TRANS_COLORING_APPLY_SPT=134,
1486                MATOP_TRANS_COLORING_APPLY_DEN=135,
1487                MATOP_RART=136,
1488                MATOP_RART_SYMBOLIC=137,
1489                MATOP_RART_NUMERIC=138,
1490                MATOP_SET_BLOCK_SIZES=139,
1491                MATOP_AYPX=140,
1492                MATOP_RESIDUAL=141,
1493                MATOP_FDCOLORING_SETUP= 142
1494              } MatOperation;
1495 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat,MatOperation,PetscBool *);
1496 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat,MatOperation,void(*)(void));
1497 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat,MatOperation,void(**)(void));
1498 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat,void*);
1499 
1500 /*
1501    Codes for matrices stored on disk. By default they are
1502    stored in a universal format. By changing the format with
1503    PetscViewerSetFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
1504    be stored in a way natural for the matrix, for example dense matrices
1505    would be stored as dense. Matrices stored this way may only be
1506    read into matrices of the same type.
1507 */
1508 #define MATRIX_BINARY_FORMAT_DENSE -1
1509 
1510 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1511 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat,Mat*);
1512 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat,Mat);
1513 PETSC_EXTERN PetscErrorCode MatISGetMPIXAIJ(Mat,MatReuse,Mat*);
1514 
1515 /*S
1516      MatNullSpace - Object that removes a null space from a vector, i.e.
1517          orthogonalizes the vector to a subsapce
1518 
1519    Level: advanced
1520 
1521   Concepts: matrix; linear operator, null space
1522 
1523   Users manual sections:
1524 .   sec_singular
1525 
1526 .seealso:  MatNullSpaceCreate()
1527 S*/
1528 typedef struct _p_MatNullSpace* MatNullSpace;
1529 
1530 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm,PetscBool ,PetscInt,const Vec[],MatNullSpace*);
1531 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace,PetscErrorCode (*)(MatNullSpace,Vec,void*),void*);
1532 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace*);
1533 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace,Vec);
1534 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
1535 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat,MatNullSpace);
1536 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat,MatNullSpace);
1537 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat,MatNullSpace*);
1538 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace,Mat,PetscBool  *);
1539 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace,PetscViewer);
1540 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace,PetscBool*,PetscInt*,const Vec**);
1541 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec,MatNullSpace*);
1542 
1543 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat,IS);
1544 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1545 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat,PetscInt *);
1546 PETSC_EXTERN PetscErrorCode MatSeqBAIJInvertBlockDiagonal(Mat);
1547 
1548 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat,PetscInt,Mat*);
1549 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat,PetscInt,Mat*);
1550 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat,Mat*);
1551 
1552 PETSC_EXTERN PetscErrorCode MatComputeExplicitOperator(Mat,Mat*);
1553 
1554 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat,Vec);
1555 
1556 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
1557 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat,Vec,Vec);
1558 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat,PetscErrorCode(*)(void*,Vec,Vec),void*);
1559 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat,PetscErrorCode (*)(void*,PetscInt,Vec,PetscScalar*));
1560 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat,PetscErrorCode (*)(void*,Vec));
1561 PETSC_EXTERN PetscErrorCode MatMFFDAddNullSpace(Mat,MatNullSpace);
1562 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat,PetscScalar[],PetscInt);
1563 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
1564 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat,PetscReal);
1565 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat,PetscInt);
1566 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat,PetscScalar *);
1567 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat,const char[]);
1568 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void*,Vec,Vec,PetscScalar*);
1569 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat,PetscErrorCode (*)(void*,Vec,Vec,PetscScalar*),void*);
1570 
1571 /*S
1572     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
1573               Jacobian vector products
1574 
1575     Notes: MATMFFD is a specific MatType which uses the MatMFFD data structure
1576 
1577            MatMFFD*() methods actually take the Mat as their first argument. Not a MatMFFD data structure
1578 
1579     Level: developer
1580 
1581 .seealso: MATMFFD, MatCreateMFFD(), MatMFFDSetFuction(), MatMFFDSetType(), MatMFFDRegister()
1582 S*/
1583 typedef struct _p_MatMFFD* MatMFFD;
1584 
1585 /*J
1586     MatMFFDType - algorithm used to compute the h used in computing matrix-vector products via differencing of the function
1587 
1588    Level: beginner
1589 
1590 .seealso: MatMFFDSetType(), MatMFFDRegister()
1591 J*/
1592 typedef const char* MatMFFDType;
1593 #define MATMFFD_DS  "ds"
1594 #define MATMFFD_WP  "wp"
1595 
1596 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat,MatMFFDType);
1597 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[],PetscErrorCode (*)(MatMFFD));
1598 
1599 PETSC_EXTERN PetscErrorCode MatMFFDRegisterAll(void);
1600 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat,PetscReal);
1601 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat,PetscBool );
1602 
1603 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
1604 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
1605 
1606 /*
1607    PETSc interface to MUMPS
1608 */
1609 #ifdef PETSC_HAVE_MUMPS
1610 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat,PetscInt,PetscInt);
1611 PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat,PetscInt,PetscInt*);
1612 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat,PetscInt,PetscReal);
1613 PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat,PetscInt,PetscReal*);
1614 
1615 PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat,PetscInt,PetscInt*);
1616 PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat,PetscInt,PetscInt*);
1617 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat,PetscInt,PetscReal*);
1618 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat,PetscInt,PetscReal*);
1619 #endif
1620 
1621 /*
1622    PETSc interface to Mkl_Pardiso
1623 */
1624 #ifdef PETSC_HAVE_MKL_PARDISO
1625 PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat,PetscInt,PetscInt);
1626 #endif
1627 
1628 /*
1629    PETSc interface to SUPERLU
1630 */
1631 #ifdef PETSC_HAVE_SUPERLU
1632 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat,PetscReal);
1633 #endif
1634 
1635 #ifdef PETSC_HAVE_CUDA
1636 /*E
1637     MatCUSPARSEStorageFormat - indicates the storage format for CUSPARSE (GPU)
1638     matrices.
1639 
1640     Not Collective
1641 
1642 +   MAT_CUSPARSE_CSR - Compressed Sparse Row
1643 .   MAT_CUSPARSE_ELL - Ellpack (requires CUDA 4.2 or later).
1644 -   MAT_CUSPARSE_HYB - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
1645 
1646     Level: intermediate
1647 
1648    Any additions/changes here MUST also be made in include/finclude/petscmat.h
1649 
1650 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEFormatOperation
1651 E*/
1652 
1653 typedef enum {MAT_CUSPARSE_CSR, MAT_CUSPARSE_ELL, MAT_CUSPARSE_HYB} MatCUSPARSEStorageFormat;
1654 
1655 /* these will be strings associated with enumerated type defined above */
1656 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
1657 
1658 /*E
1659     MatCUSPARSEFormatOperation - indicates the operation of CUSPARSE (GPU)
1660     matrices whose operation should use a particular storage format.
1661 
1662     Not Collective
1663 
1664 +   MAT_CUSPARSE_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1665 .   MAT_CUSPARSE_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1666 .   MAT_CUSPARSE_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1667 -   MAT_CUSPARSE_ALL - sets the storage format for all CUSPARSE (GPU) matrices
1668 
1669     Level: intermediate
1670 
1671 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEStorageFormat
1672 E*/
1673 typedef enum {MAT_CUSPARSE_MULT_DIAG, MAT_CUSPARSE_MULT_OFFDIAG, MAT_CUSPARSE_MULT, MAT_CUSPARSE_ALL} MatCUSPARSEFormatOperation;
1674 
1675 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1676 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1677 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat,MatCUSPARSEFormatOperation,MatCUSPARSEStorageFormat);
1678 #endif
1679 
1680 #if defined(PETSC_HAVE_CUSP)
1681 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1682 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1683 
1684 /*E
1685     MatCUSPStorageFormat - indicates the storage format for CUSP (GPU)
1686     matrices.
1687 
1688     Not Collective
1689 
1690 +   MAT_CUSP_CSR - Compressed Sparse Row
1691 .   MAT_CUSP_DIA - Diagonal
1692 -   MAT_CUSP_ELL - Ellpack
1693 
1694     Level: intermediate
1695 
1696    Any additions/changes here MUST also be made in include/finclude/petscmat.h
1697 
1698 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1699 E*/
1700 typedef enum {MAT_CUSP_CSR, MAT_CUSP_DIA, MAT_CUSP_ELL} MatCUSPStorageFormat;
1701 
1702 /* these will be strings associated with enumerated type defined above */
1703 PETSC_EXTERN const char *const MatCUSPStorageFormats[];
1704 
1705 /*E
1706     MatCUSPFormatOperation - indicates the operation of CUSP (GPU)
1707     matrices whose operation should use a particular storage format.
1708 
1709     Not Collective
1710 
1711 +   MAT_CUSP_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1712 .   MAT_CUSP_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1713 .   MAT_CUSP_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1714 -   MAT_CUSP_ALL - sets the storage format for all CUSP (GPU) matrices
1715 
1716     Level: intermediate
1717 
1718    Any additions/changes here MUST also be made in include/finclude/petscmat.h
1719 
1720 .seealso: MatCUSPSetFormat(), MatCUSPStorageFormat
1721 E*/
1722 typedef enum {MAT_CUSP_MULT_DIAG, MAT_CUSP_MULT_OFFDIAG, MAT_CUSP_MULT, MAT_CUSP_ALL} MatCUSPFormatOperation;
1723 
1724 PETSC_EXTERN PetscErrorCode MatCUSPSetFormat(Mat,MatCUSPFormatOperation,MatCUSPStorageFormat);
1725 #endif
1726 
1727 #if defined(PETSC_HAVE_VIENNACL)
1728 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1729 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1730 #endif
1731 
1732 /*
1733    PETSc interface to FFTW
1734 */
1735 #if defined(PETSC_HAVE_FFTW)
1736 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat,Vec,Vec);
1737 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat,Vec,Vec);
1738 PETSC_EXTERN PetscErrorCode MatCreateVecsFFTW(Mat,Vec*,Vec*,Vec*);
1739 #endif
1740 
1741 #if defined(PETSC_HAVE_ELEMENTAL)
1742 PETSC_EXTERN PetscErrorCode PetscElementalInitializePackage(void);
1743 PETSC_EXTERN PetscErrorCode PetscElementalFinalizePackage(void);
1744 #endif
1745 
1746 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm,PetscInt,const IS[],PetscInt,const IS[],const Mat[],Mat*);
1747 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat,PetscInt*,PetscInt*);
1748 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat,IS[],IS[]);
1749 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat,IS[],IS[]);
1750 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat,PetscInt*,PetscInt*,Mat***);
1751 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat,PetscInt,PetscInt,Mat*);
1752 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat,VecType);
1753 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat,PetscInt,const IS[],PetscInt,const IS[],const Mat[]);
1754 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat,PetscInt,PetscInt,Mat);
1755 
1756 PETSC_EXTERN PetscErrorCode MatChop(Mat,PetscReal);
1757 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat,PetscReal,PetscInt*);
1758 
1759 #endif
1760