xref: /petsc/include/petscmat.h (revision 0f51fdf84cc2af9c6ef13eed784e698b930e50d2)
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 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/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,const char prefix[],const char name[]) {return PetscObjectViewFromOptions((PetscObject)A,prefix,name);}
181 PETSC_EXTERN PetscErrorCode MatRegisterAll(void);
182 PETSC_EXTERN PetscErrorCode MatRegister(const char[],PetscErrorCode(*)(Mat));
183 PETSC_EXTERN PetscErrorCode MatRegisterBaseName(const char[],const char[],const char[]);
184 PETSC_EXTERN PetscErrorCode MatSetOptionsPrefix(Mat,const char[]);
185 PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefix(Mat,const char[]);
186 PETSC_EXTERN PetscErrorCode MatGetOptionsPrefix(Mat,const char*[]);
187 
188 PETSC_EXTERN PetscFunctionList MatList;
189 PETSC_EXTERN PetscFunctionList MatColoringList;
190 PETSC_EXTERN PetscFunctionList MatPartitioningList;
191 PETSC_EXTERN PetscFunctionList MatCoarsenList;
192 
193 /*E
194     MatStructure - Indicates if two matrices have the same nonzero structure
195 
196     Level: beginner
197 
198    Any additions/changes here MUST also be made in include/finclude/petscmat.h
199 
200 .seealso: MatCopy(), MatAXPY()
201 E*/
202 typedef enum {DIFFERENT_NONZERO_PATTERN,SUBSET_NONZERO_PATTERN,SAME_NONZERO_PATTERN} MatStructure;
203 
204 PETSC_EXTERN PetscErrorCode MatCreateSeqDense(MPI_Comm,PetscInt,PetscInt,PetscScalar[],Mat*);
205 PETSC_EXTERN PetscErrorCode MatCreateDense(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar[],Mat*);
206 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
207 PETSC_EXTERN PetscErrorCode MatCreateAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
208 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
209 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSplitArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],PetscInt[],PetscInt[],PetscScalar[],Mat*);
210 
211 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
212 PETSC_EXTERN PetscErrorCode MatCreateBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
213 PETSC_EXTERN PetscErrorCode MatCreateMPIBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat*);
214 
215 PETSC_EXTERN PetscErrorCode MatCreateMPIAdj(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscInt[],Mat*);
216 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
217 
218 PETSC_EXTERN PetscErrorCode MatCreateSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
219 PETSC_EXTERN PetscErrorCode MatCreateMPISBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
220 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
221 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
222 PETSC_EXTERN PetscErrorCode MatXAIJSetPreallocation(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscInt[],const PetscInt[]);
223 
224 PETSC_EXTERN PetscErrorCode MatCreateShell(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,void *,Mat*);
225 PETSC_EXTERN PetscErrorCode MatCreateNormal(Mat,Mat*);
226 PETSC_EXTERN PetscErrorCode MatCreateLRC(Mat,Mat,Mat,Mat*);
227 PETSC_EXTERN PetscErrorCode MatCreateIS(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,ISLocalToGlobalMapping,Mat*);
228 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
229 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
230 
231 PETSC_EXTERN PetscErrorCode MatCreateSeqBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
232 PETSC_EXTERN PetscErrorCode MatCreateMPIBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
233 PETSC_EXTERN PetscErrorCode MatCreateSeqSBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
234 PETSC_EXTERN PetscErrorCode MatCreateMPISBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
235 
236 PETSC_EXTERN PetscErrorCode MatCreateScatter(MPI_Comm,VecScatter,Mat*);
237 PETSC_EXTERN PetscErrorCode MatScatterSetVecScatter(Mat,VecScatter);
238 PETSC_EXTERN PetscErrorCode MatScatterGetVecScatter(Mat,VecScatter*);
239 PETSC_EXTERN PetscErrorCode MatCreateBlockMat(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt*,Mat*);
240 PETSC_EXTERN PetscErrorCode MatCompositeAddMat(Mat,Mat);
241 PETSC_EXTERN PetscErrorCode MatCompositeMerge(Mat);
242 PETSC_EXTERN PetscErrorCode MatCreateComposite(MPI_Comm,PetscInt,const Mat*,Mat*);
243 typedef enum {MAT_COMPOSITE_ADDITIVE,MAT_COMPOSITE_MULTIPLICATIVE} MatCompositeType;
244 PETSC_EXTERN PetscErrorCode MatCompositeSetType(Mat,MatCompositeType);
245 
246 PETSC_EXTERN PetscErrorCode MatCreateFFT(MPI_Comm,PetscInt,const PetscInt[],MatType,Mat*);
247 PETSC_EXTERN PetscErrorCode MatCreateSeqCUFFT(MPI_Comm,PetscInt,const PetscInt[],Mat*);
248 
249 PETSC_EXTERN PetscErrorCode MatCreateTranspose(Mat,Mat*);
250 PETSC_EXTERN PetscErrorCode MatCreateSubMatrix(Mat,IS,IS,Mat*);
251 PETSC_EXTERN PetscErrorCode MatSubMatrixUpdate(Mat,Mat,IS,IS);
252 PETSC_EXTERN PetscErrorCode MatCreateLocalRef(Mat,IS,IS,Mat*);
253 
254 PETSC_EXTERN PetscErrorCode MatPythonSetType(Mat,const char[]);
255 
256 PETSC_EXTERN PetscErrorCode MatSetUp(Mat);
257 PETSC_EXTERN PetscErrorCode MatDestroy(Mat*);
258 PETSC_EXTERN PetscErrorCode MatGetNonzeroState(Mat,PetscObjectState*);
259 
260 PETSC_EXTERN PetscErrorCode MatConjugate(Mat);
261 PETSC_EXTERN PetscErrorCode MatRealPart(Mat);
262 PETSC_EXTERN PetscErrorCode MatImaginaryPart(Mat);
263 PETSC_EXTERN PetscErrorCode MatGetDiagonalBlock(Mat,Mat*);
264 PETSC_EXTERN PetscErrorCode MatGetTrace(Mat,PetscScalar*);
265 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonal(Mat,const PetscScalar **);
266 
267 /* ------------------------------------------------------------*/
268 PETSC_EXTERN PetscErrorCode MatSetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
269 PETSC_EXTERN PetscErrorCode MatSetValuesBlocked(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
270 PETSC_EXTERN PetscErrorCode MatSetValuesRow(Mat,PetscInt,const PetscScalar[]);
271 PETSC_EXTERN PetscErrorCode MatSetValuesRowLocal(Mat,PetscInt,const PetscScalar[]);
272 PETSC_EXTERN PetscErrorCode MatSetValuesBatch(Mat,PetscInt,PetscInt,PetscInt[],const PetscScalar[]);
273 PETSC_EXTERN PetscErrorCode MatSetRandom(Mat,PetscRandom);
274 
275 /*S
276      MatStencil - Data structure (C struct) for storing information about a single row or
277         column of a matrix as indexed on an associated grid.
278 
279    Fortran usage is different, see MatSetValuesStencil() for details.
280 
281    Level: beginner
282 
283   Concepts: matrix; linear operator
284 
285 .seealso:  MatSetValuesStencil(), MatSetStencil(), MatSetValuesBlockedStencil()
286 S*/
287 typedef struct {
288   PetscInt k,j,i,c;
289 } MatStencil;
290 
291 PETSC_EXTERN PetscErrorCode MatSetValuesStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
292 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
293 PETSC_EXTERN PetscErrorCode MatSetStencil(Mat,PetscInt,const PetscInt[],const PetscInt[],PetscInt);
294 
295 PETSC_EXTERN PetscErrorCode MatSetColoring(Mat,ISColoring);
296 PETSC_EXTERN PetscErrorCode MatSetValuesAdifor(Mat,PetscInt,void*);
297 
298 /*E
299     MatAssemblyType - Indicates if the matrix is now to be used, or if you plan
300      to continue to add values to it
301 
302     Level: beginner
303 
304 .seealso: MatAssemblyBegin(), MatAssemblyEnd()
305 E*/
306 typedef enum {MAT_FLUSH_ASSEMBLY=1,MAT_FINAL_ASSEMBLY=0} MatAssemblyType;
307 PETSC_EXTERN PetscErrorCode MatAssemblyBegin(Mat,MatAssemblyType);
308 PETSC_EXTERN PetscErrorCode MatAssemblyEnd(Mat,MatAssemblyType);
309 PETSC_EXTERN PetscErrorCode MatAssembled(Mat,PetscBool *);
310 
311 
312 
313 /*E
314     MatOption - Options that may be set for a matrix and its behavior or storage
315 
316     Level: beginner
317 
318    Any additions/changes here MUST also be made in include/finclude/petscmat.h
319 
320    Developer Notes: Entries that are negative need not be called collectively by all processes.
321 
322 .seealso: MatSetOption()
323 E*/
324 typedef enum {MAT_OPTION_MIN = -5,
325               MAT_NEW_NONZERO_LOCATION_ERR = -4,
326               MAT_UNUSED_NONZERO_LOCATION_ERR = -3,
327               MAT_NEW_NONZERO_ALLOCATION_ERR = -2,
328               MAT_ROW_ORIENTED = -1,
329               MAT_SYMMETRIC = 1,
330               MAT_STRUCTURALLY_SYMMETRIC = 2,
331               MAT_NEW_DIAGONALS = 3,
332               MAT_IGNORE_OFF_PROC_ENTRIES = 4,
333               MAT_USE_HASH_TABLE = 5,
334               MAT_KEEP_NONZERO_PATTERN = 6,
335               MAT_IGNORE_ZERO_ENTRIES = 7,
336               MAT_USE_INODES = 8,
337               MAT_HERMITIAN = 9,
338               MAT_SYMMETRY_ETERNAL = 10,
339               MAT_DUMMY = 11,
340               MAT_IGNORE_LOWER_TRIANGULAR = 12,
341               MAT_ERROR_LOWER_TRIANGULAR = 13,
342               MAT_GETROW_UPPERTRIANGULAR = 14,
343               MAT_SPD = 15,
344               MAT_NO_OFF_PROC_ZERO_ROWS = 16,
345               MAT_NO_OFF_PROC_ENTRIES = 17,
346               MAT_NEW_NONZERO_LOCATIONS = 18,
347               MAT_OPTION_MAX = 19} MatOption;
348 
349 PETSC_EXTERN const char *MatOptions[];
350 PETSC_EXTERN PetscErrorCode MatSetOption(Mat,MatOption,PetscBool );
351 PETSC_EXTERN PetscErrorCode MatGetType(Mat,MatType*);
352 
353 PETSC_EXTERN PetscErrorCode MatGetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar[]);
354 PETSC_EXTERN PetscErrorCode MatGetRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
355 PETSC_EXTERN PetscErrorCode MatRestoreRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
356 PETSC_EXTERN PetscErrorCode MatGetRowUpperTriangular(Mat);
357 PETSC_EXTERN PetscErrorCode MatRestoreRowUpperTriangular(Mat);
358 PETSC_EXTERN PetscErrorCode MatGetColumn(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
359 PETSC_EXTERN PetscErrorCode MatRestoreColumn(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
360 PETSC_EXTERN PetscErrorCode MatGetColumnVector(Mat,Vec,PetscInt);
361 PETSC_EXTERN PetscErrorCode MatSeqAIJGetArray(Mat,PetscScalar *[]);
362 PETSC_EXTERN PetscErrorCode MatSeqAIJRestoreArray(Mat,PetscScalar *[]);
363 PETSC_EXTERN PetscErrorCode MatSeqAIJGetMaxRowNonzeros(Mat,PetscInt*);
364 PETSC_EXTERN PetscErrorCode MatSeqAIJSetValuesLocalFast(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
365 PETSC_EXTERN PetscErrorCode MatDenseGetArray(Mat,PetscScalar *[]);
366 PETSC_EXTERN PetscErrorCode MatDenseRestoreArray(Mat,PetscScalar *[]);
367 PETSC_EXTERN PetscErrorCode MatGetBlockSize(Mat,PetscInt *);
368 PETSC_EXTERN PetscErrorCode MatSetBlockSize(Mat,PetscInt);
369 PETSC_EXTERN PetscErrorCode MatGetBlockSizes(Mat,PetscInt *,PetscInt *);
370 PETSC_EXTERN PetscErrorCode MatSetBlockSizes(Mat,PetscInt,PetscInt);
371 PETSC_EXTERN PetscErrorCode MatSetBlockSizesFromMats(Mat,Mat,Mat);
372 PETSC_EXTERN PetscErrorCode MatSetNThreads(Mat,PetscInt);
373 PETSC_EXTERN PetscErrorCode MatGetNThreads(Mat,PetscInt*);
374 
375 PETSC_EXTERN PetscErrorCode MatMult(Mat,Vec,Vec);
376 PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat,Vec,Vec);
377 PETSC_EXTERN PetscErrorCode MatMultAdd(Mat,Vec,Vec,Vec);
378 PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat,Vec,Vec);
379 PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat,Vec,Vec);
380 PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat,Mat,PetscReal,PetscBool *);
381 PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat,Mat,PetscReal,PetscBool *);
382 PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat,Vec,Vec,Vec);
383 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat,Vec,Vec,Vec);
384 PETSC_EXTERN PetscErrorCode MatMultConstrained(Mat,Vec,Vec);
385 PETSC_EXTERN PetscErrorCode MatMultTransposeConstrained(Mat,Vec,Vec);
386 PETSC_EXTERN PetscErrorCode MatMatSolve(Mat,Mat,Mat);
387 PETSC_EXTERN PetscErrorCode MatResidual(Mat,Vec,Vec,Vec);
388 
389 /*E
390     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
391   its numerical values copied over or just its nonzero structure.
392 
393     Level: beginner
394 
395    Any additions/changes here MUST also be made in include/finclude/petscmat.h
396 
397 $   MAT_SHARE_NONZERO_PATTERN - the i and j arrays in the new matrix will be shared with the original matrix
398 $                               this also triggers the MAT_DO_NOT_COPY_VALUES option. This is used when you
399 $                               have several matrices with the same nonzero pattern.
400 
401 .seealso: MatDuplicate()
402 E*/
403 typedef enum {MAT_DO_NOT_COPY_VALUES,MAT_COPY_VALUES,MAT_SHARE_NONZERO_PATTERN} MatDuplicateOption;
404 
405 PETSC_EXTERN PetscErrorCode MatConvert(Mat,MatType,MatReuse,Mat*);
406 PETSC_EXTERN PetscErrorCode MatDuplicate(Mat,MatDuplicateOption,Mat*);
407 
408 
409 PETSC_EXTERN PetscErrorCode MatCopy(Mat,Mat,MatStructure);
410 PETSC_EXTERN PetscErrorCode MatView(Mat,PetscViewer);
411 PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat,PetscReal,PetscBool *);
412 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat,PetscBool *);
413 PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat,PetscReal,PetscBool *);
414 PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat,PetscBool *,PetscBool *);
415 PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat,PetscBool *,PetscBool *);
416 PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat,PetscBool  *,PetscInt *);
417 PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);
418 
419 PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
420 PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
421 PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
422 PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
423 
424 /*S
425      MatInfo - Context of matrix information, used with MatGetInfo()
426 
427    In Fortran this is simply a double precision array of dimension MAT_INFO_SIZE
428 
429    Level: intermediate
430 
431   Concepts: matrix^nonzero information
432 
433 .seealso:  MatGetInfo(), MatInfoType
434 S*/
435 typedef struct {
436   PetscLogDouble block_size;                         /* block size */
437   PetscLogDouble nz_allocated,nz_used,nz_unneeded;   /* number of nonzeros */
438   PetscLogDouble memory;                             /* memory allocated */
439   PetscLogDouble assemblies;                         /* number of matrix assemblies called */
440   PetscLogDouble mallocs;                            /* number of mallocs during MatSetValues() */
441   PetscLogDouble fill_ratio_given,fill_ratio_needed; /* fill ratio for LU/ILU */
442   PetscLogDouble factor_mallocs;                     /* number of mallocs during factorization */
443 } MatInfo;
444 
445 /*E
446     MatInfoType - Indicates if you want information about the local part of the matrix,
447      the entire parallel matrix or the maximum over all the local parts.
448 
449     Level: beginner
450 
451    Any additions/changes here MUST also be made in include/finclude/petscmat.h
452 
453 .seealso: MatGetInfo(), MatInfo
454 E*/
455 typedef enum {MAT_LOCAL=1,MAT_GLOBAL_MAX=2,MAT_GLOBAL_SUM=3} MatInfoType;
456 PETSC_EXTERN PetscErrorCode MatGetInfo(Mat,MatInfoType,MatInfo*);
457 PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat,Vec);
458 PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat,Vec,PetscInt[]);
459 PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat,Vec,PetscInt[]);
460 PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat,Vec,PetscInt[]);
461 PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat,Vec,PetscInt[]);
462 PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat,Vec);
463 PETSC_EXTERN PetscErrorCode MatTranspose(Mat,MatReuse,Mat*);
464 PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat,MatReuse,Mat*);
465 PETSC_EXTERN PetscErrorCode MatPermute(Mat,IS,IS,Mat *);
466 PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat,Vec,Vec);
467 PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat,Vec,InsertMode);
468 PETSC_EXTERN PetscErrorCode MatEqual(Mat,Mat,PetscBool *);
469 PETSC_EXTERN PetscErrorCode MatMultEqual(Mat,Mat,PetscInt,PetscBool *);
470 PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat,Mat,PetscInt,PetscBool *);
471 PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat,Mat,PetscInt,PetscBool *);
472 PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat,Mat,PetscInt,PetscBool *);
473 
474 PETSC_EXTERN PetscErrorCode MatNorm(Mat,NormType,PetscReal *);
475 PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat,NormType,PetscReal *);
476 PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
477 PETSC_EXTERN PetscErrorCode MatZeroRows(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
478 PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat,IS,PetscScalar,Vec,Vec);
479 PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat,PetscInt,const MatStencil [],PetscScalar,Vec,Vec);
480 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat,PetscInt,const MatStencil[],PetscScalar,Vec,Vec);
481 PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
482 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat,IS,PetscScalar,Vec,Vec);
483 
484 PETSC_EXTERN PetscErrorCode MatGetSize(Mat,PetscInt*,PetscInt*);
485 PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat,PetscInt*,PetscInt*);
486 PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat,PetscInt*,PetscInt*);
487 PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat,const PetscInt**);
488 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat,PetscInt*,PetscInt*);
489 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat,const PetscInt**);
490 PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat,IS*,IS*);
491 
492 PETSC_EXTERN PetscErrorCode MatGetSubMatrices(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
493 PETSC_EXTERN PetscErrorCode MatGetSubMatricesParallel(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
494 PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt,Mat *[]);
495 PETSC_EXTERN PetscErrorCode MatGetSubMatrix(Mat,IS,IS,MatReuse,Mat *);
496 PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat,IS,IS,Mat*);
497 PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat,IS,IS,Mat*);
498 PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat,Mat*);
499 PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat*);
500 
501 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm,Mat,PetscInt,PetscInt,MatReuse,Mat*);
502 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm,Mat,PetscInt,PetscInt,Mat*);
503 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat,Mat);
504 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat,MatReuse,Mat*);
505 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat,MatReuse,IS*,IS*,Mat*);
506 PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat,Mat,MatReuse,IS*,IS*,Mat*);
507 PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *,const PetscInt *[]);
508 
509 PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat,PetscInt,IS[],PetscInt);
510 
511 PETSC_EXTERN PetscErrorCode MatMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
512 PETSC_EXTERN PetscErrorCode MatMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
513 PETSC_EXTERN PetscErrorCode MatMatMultNumeric(Mat,Mat,Mat);
514 
515 PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
516 PETSC_EXTERN PetscErrorCode MatMatMatMultSymbolic(Mat,Mat,Mat,PetscReal,Mat*);
517 PETSC_EXTERN PetscErrorCode MatMatMatMultNumeric(Mat,Mat,Mat,Mat);
518 
519 PETSC_EXTERN PetscErrorCode MatPtAP(Mat,Mat,MatReuse,PetscReal,Mat*);
520 PETSC_EXTERN PetscErrorCode MatPtAPSymbolic(Mat,Mat,PetscReal,Mat*);
521 PETSC_EXTERN PetscErrorCode MatPtAPNumeric(Mat,Mat,Mat);
522 PETSC_EXTERN PetscErrorCode MatRARt(Mat,Mat,MatReuse,PetscReal,Mat*);
523 PETSC_EXTERN PetscErrorCode MatRARtSymbolic(Mat,Mat,PetscReal,Mat*);
524 PETSC_EXTERN PetscErrorCode MatRARtNumeric(Mat,Mat,Mat);
525 
526 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
527 PETSC_EXTERN PetscErrorCode MatTransposetMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
528 PETSC_EXTERN PetscErrorCode MatTransposetMatMultNumeric(Mat,Mat,Mat);
529 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat,Mat,MatReuse,PetscReal,Mat*);
530 PETSC_EXTERN PetscErrorCode MatMatTransposeMultSymbolic(Mat,Mat,PetscReal,Mat*);
531 PETSC_EXTERN PetscErrorCode MatMatTransposeMultNumeric(Mat,Mat,Mat);
532 
533 PETSC_EXTERN PetscErrorCode MatAXPY(Mat,PetscScalar,Mat,MatStructure);
534 PETSC_EXTERN PetscErrorCode MatAYPX(Mat,PetscScalar,Mat,MatStructure);
535 
536 PETSC_EXTERN PetscErrorCode MatScale(Mat,PetscScalar);
537 PETSC_EXTERN PetscErrorCode MatShift(Mat,PetscScalar);
538 
539 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
540 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
541 PETSC_EXTERN PetscErrorCode MatGetLayouts(Mat,PetscLayout*,PetscLayout*);
542 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
543 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
544 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
545 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
546 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
547 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
548 
549 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat,PetscInt,PetscInt);
550 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat,PetscInt*,PetscInt*,PetscInt*,PetscInt*);
551 
552 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat,Vec,Vec);
553 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat,Vec,Vec,Vec);
554 PETSC_EXTERN PetscErrorCode MatRestrict(Mat,Vec,Vec);
555 PETSC_EXTERN PetscErrorCode MatCreateVecs(Mat,Vec*,Vec*);
556 PETSC_DEPRECATED("Use MatCreateVecs()") PETSC_STATIC_INLINE PetscErrorCode MatGetVecs(Mat mat,Vec *x,Vec *y) {return MatCreateVecs(mat,x,y);}
557 PETSC_EXTERN PetscErrorCode MatCreateRedundantMatrix(Mat,PetscInt,MPI_Comm,MatReuse,Mat*);
558 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat,MPI_Comm,MatReuse,Mat*);
559 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat,IS*);
560 PETSC_EXTERN PetscErrorCode MatFindOffBlockDiagonalEntries(Mat,IS*);
561 PETSC_EXTERN PetscErrorCode MatCreateMPIMatConcatenateSeqMat(MPI_Comm,Mat,PetscInt,MatReuse,Mat*);
562 
563 /*MC
564    MatSetValue - Set a single entry into a matrix.
565 
566    Not collective
567 
568    Synopsis:
569      #include <petscmat.h>
570      PetscErrorCode MatSetValue(Mat m,PetscInt row,PetscInt col,PetscScalar value,InsertMode mode)
571 
572    Input Parameters:
573 +  m - the matrix
574 .  row - the row location of the entry
575 .  col - the column location of the entry
576 .  value - the value to insert
577 -  mode - either INSERT_VALUES or ADD_VALUES
578 
579    Notes:
580    For efficiency one should use MatSetValues() and set several or many
581    values simultaneously if possible.
582 
583    Level: beginner
584 
585 .seealso: MatSetValues(), MatSetValueLocal()
586 M*/
587 PETSC_STATIC_INLINE PetscErrorCode MatSetValue(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValues(v,1,&i,1,&j,&va,mode);}
588 
589 PETSC_STATIC_INLINE PetscErrorCode MatGetValue(Mat v,PetscInt i,PetscInt j,PetscScalar *va) {return MatGetValues(v,1,&i,1,&j,va);}
590 
591 PETSC_STATIC_INLINE PetscErrorCode MatSetValueLocal(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValuesLocal(v,1,&i,1,&j,&va,mode);}
592 
593 /*MC
594    MatPreallocateInitialize - Begins the block of code that will count the number of nonzeros per
595        row in a matrix providing the data that one can use to correctly preallocate the matrix.
596 
597    Synopsis:
598    #include <petscmat.h>
599    PetscErrorCode MatPreallocateInitialize(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
600 
601    Collective on MPI_Comm
602 
603    Input Parameters:
604 +  comm - the communicator that will share the eventually allocated matrix
605 .  nrows - the number of LOCAL rows in the matrix
606 -  ncols - the number of LOCAL columns in the matrix
607 
608    Output Parameters:
609 +  dnz - the array that will be passed to the matrix preallocation routines
610 -  ozn - the other array passed to the matrix preallocation routines
611 
612    Level: intermediate
613 
614    Notes:
615     See Users-Manual: ch_performance for more details.
616 
617    Do not malloc or free dnz and onz, that is handled internally by these routines
618 
619    Use MatPreallocateInitializeSymmetric() for symmetric matrices (MPISBAIJ matrices)
620 
621    This is a MACRO not a function because it has a leading { that is closed by PetscPreallocateFinalize().
622 
623   Concepts: preallocation^Matrix
624 
625 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
626           MatPreallocateInitializeSymmetric(), MatPreallocateSymmetricSetLocalBlock()
627 M*/
628 #define MatPreallocateInitialize(comm,nrows,ncols,dnz,onz) 0; \
629 { \
630   PetscErrorCode _4_ierr; PetscInt __nrows = (nrows),__ctmp = (ncols),__rstart,__start,__end; \
631   _4_ierr = PetscCalloc2(__nrows,&dnz,__nrows,&onz);CHKERRQ(_4_ierr); \
632   __start = 0; __end = __start;                                         \
633   _4_ierr = MPI_Scan(&__ctmp,&__end,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __start = __end - __ctmp;\
634   _4_ierr = MPI_Scan(&__nrows,&__rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __nrows;
635 
636 /*MC
637    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
638        inserted using a local number of the rows and columns
639 
640    Synopsis:
641    #include <petscmat.h>
642    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
643 
644    Not Collective
645 
646    Input Parameters:
647 +  map - the row mapping from local numbering to global numbering
648 .  nrows - the number of rows indicated
649 .  rows - the indices of the rows
650 .  cmap - the column mapping from local to global numbering
651 .  ncols - the number of columns in the matrix
652 .  cols - the columns indicated
653 .  dnz - the array that will be passed to the matrix preallocation routines
654 -  ozn - the other array passed to the matrix preallocation routines
655 
656    Level: intermediate
657 
658    Notes:
659     See Users-Manual: ch_performance for more details.
660 
661    Do not malloc or free dnz and onz, that is handled internally by these routines
662 
663   Concepts: preallocation^Matrix
664 
665 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
666           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock()
667 M*/
668 #define MatPreallocateSetLocal(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
669 {\
670   PetscInt __l;\
671   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
672   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
673   for (__l=0;__l<nrows;__l++) {\
674     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
675   }\
676 }
677 
678 /*MC
679    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
680        inserted using a local number of the rows and columns
681 
682    Synopsis:
683    #include <petscmat.h>
684    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
685 
686    Not Collective
687 
688    Input Parameters:
689 +  map - the row mapping from local numbering to global numbering
690 .  nrows - the number of rows indicated
691 .  rows - the indices of the rows
692 .  cmap - the column mapping from local to global numbering
693 .  ncols - the number of columns in the matrix
694 .  cols - the columns indicated
695 .  dnz - the array that will be passed to the matrix preallocation routines
696 -  ozn - the other array passed to the matrix preallocation routines
697 
698    Level: intermediate
699 
700    Notes:
701     See Users-Manual: ch_performance for more details.
702 
703    Do not malloc or free dnz and onz, that is handled internally by these routines
704 
705   Concepts: preallocation^Matrix
706 
707 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
708           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock()
709 M*/
710 #define MatPreallocateSetLocalBlock(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
711 {\
712   PetscInt __l;\
713   _4_ierr = ISLocalToGlobalMappingApplyBlock(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
714   _4_ierr = ISLocalToGlobalMappingApplyBlock(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
715   for (__l=0;__l<nrows;__l++) {\
716     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
717   }\
718 }
719 
720 /*MC
721    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
722        inserted using a local number of the rows and columns
723 
724    Synopsis:
725    #include <petscmat.h>
726    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
727 
728    Not Collective
729 
730    Input Parameters:
731 +  map - the mapping between local numbering and global numbering
732 .  nrows - the number of rows indicated
733 .  rows - the indices of the rows
734 .  ncols - the number of columns in the matrix
735 .  cols - the columns indicated
736 .  dnz - the array that will be passed to the matrix preallocation routines
737 -  ozn - the other array passed to the matrix preallocation routines
738 
739    Level: intermediate
740 
741    Notes:
742     See Users-Manual: ch_performance for more details.
743 
744    Do not malloc or free dnz and onz that is handled internally by these routines
745 
746   Concepts: preallocation^Matrix
747 
748 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateInitialize(),
749           MatPreallocateInitialize(),  MatPreallocateSetLocal()
750 M*/
751 #define MatPreallocateSymmetricSetLocalBlock(map,nrows,rows,ncols,cols,dnz,onz) 0;\
752 {\
753   PetscInt __l;\
754   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
755   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
756   for (__l=0;__l<nrows;__l++) {\
757     _4_ierr = MatPreallocateSymmetricSetBlock((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
758   }\
759 }
760 /*MC
761    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
762        inserted using a local number of the rows and columns
763 
764    Synopsis:
765    #include <petscmat.h>
766    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
767 
768    Not Collective
769 
770    Input Parameters:
771 +  row - the row
772 .  ncols - the number of columns in the matrix
773 -  cols - the columns indicated
774 
775    Output Parameters:
776 +  dnz - the array that will be passed to the matrix preallocation routines
777 -  ozn - the other array passed to the matrix preallocation routines
778 
779    Level: intermediate
780 
781    Notes:
782     See Users-Manual: ch_performance for more details.
783 
784    Do not malloc or free dnz and onz that is handled internally by these routines
785 
786    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
787 
788   Concepts: preallocation^Matrix
789 
790 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
791           MatPreallocateInitialize(), MatPreallocateSetLocal()
792 M*/
793 #define MatPreallocateSet(row,nc,cols,dnz,onz) 0;\
794 { PetscInt __i; \
795   if (row < __rstart) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Trying to set preallocation for row %D less than first local row %D",row,__rstart);\
796   if (row >= __rstart+__nrows) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Trying to set preallocation for row %D greater than last local row %D",row,__rstart+__nrows-1);\
797   for (__i=0; __i<nc; __i++) {\
798     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
799     else dnz[row - __rstart]++;\
800   }\
801 }
802 
803 /*MC
804    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
805        inserted using a local number of the rows and columns
806 
807    Synopsis:
808    #include <petscmat.h>
809    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
810 
811    Not Collective
812 
813    Input Parameters:
814 +  nrows - the number of rows indicated
815 .  rows - the indices of the rows
816 .  ncols - the number of columns in the matrix
817 .  cols - the columns indicated
818 .  dnz - the array that will be passed to the matrix preallocation routines
819 -  ozn - the other array passed to the matrix preallocation routines
820 
821    Level: intermediate
822 
823    Notes:
824     See Users-Manual: ch_performance for more details.
825 
826    Do not malloc or free dnz and onz that is handled internally by these routines
827 
828    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
829 
830   Concepts: preallocation^Matrix
831 
832 .seealso: MatPreallocateFinalize(), MatPreallocateSet(),  MatPreallocateInitialize(),
833           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
834 M*/
835 #define MatPreallocateSymmetricSetBlock(row,nc,cols,dnz,onz) 0;\
836 { PetscInt __i; \
837   for (__i=0; __i<nc; __i++) {\
838     if (cols[__i] >= __end) onz[row - __rstart]++; \
839     else if (cols[__i] >= row) dnz[row - __rstart]++;\
840   }\
841 }
842 
843 /*MC
844    MatPreallocateLocation -  An alternative to MatPreallocationSet() that puts the nonzero locations into the matrix if it exists
845 
846    Synopsis:
847    #include <petscmat.h>
848    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
849 
850    Not Collective
851 
852    Input Parameters:
853 .  A - matrix
854 .  row - row where values exist (must be local to this process)
855 .  ncols - number of columns
856 .  cols - columns with nonzeros
857 .  dnz - the array that will be passed to the matrix preallocation routines
858 -  ozn - the other array passed to the matrix preallocation routines
859 
860    Level: intermediate
861 
862    Notes:
863     See Users-Manual: ch_performance for more details.
864 
865    Do not malloc or free dnz and onz that is handled internally by these routines
866 
867    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
868 
869   Concepts: preallocation^Matrix
870 
871 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
872           MatPreallocateSymmetricSetLocalBlock()
873 M*/
874 #define MatPreallocateLocation(A,row,ncols,cols,dnz,onz) 0;if (A) {ierr = MatSetValues(A,1,&row,ncols,cols,NULL,INSERT_VALUES);CHKERRQ(ierr);} else {ierr =  MatPreallocateSet(row,ncols,cols,dnz,onz);CHKERRQ(ierr);}
875 
876 
877 /*MC
878    MatPreallocateFinalize - Ends the block of code that will count the number of nonzeros per
879        row in a matrix providing the data that one can use to correctly preallocate the matrix.
880 
881    Synopsis:
882    #include <petscmat.h>
883    PetscErrorCode MatPreallocateFinalize(PetscInt *dnz, PetscInt *onz)
884 
885    Collective on MPI_Comm
886 
887    Input Parameters:
888 +  dnz - the array that was be passed to the matrix preallocation routines
889 -  ozn - the other array passed to the matrix preallocation routines
890 
891    Level: intermediate
892 
893    Notes:
894     See Users-Manual: ch_performance for more details.
895 
896    Do not malloc or free dnz and onz that is handled internally by these routines
897 
898    This is a MACRO not a function because it closes the { started in MatPreallocateInitialize().
899 
900   Concepts: preallocation^Matrix
901 
902 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
903           MatPreallocateSymmetricSetLocalBlock()
904 M*/
905 #define MatPreallocateFinalize(dnz,onz) 0;_4_ierr = PetscFree2(dnz,onz);CHKERRQ(_4_ierr);}
906 
907 /* Routines unique to particular data structures */
908 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat,void *);
909 
910 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat,IS*,IS*);
911 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat,PetscInt *,PetscInt *[],PetscInt *);
912 
913 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat,PetscInt[]);
914 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat,PetscInt[]);
915 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
916 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
917 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
918 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*,PetscInt,PetscBool);
919 
920 #define MAT_SKIP_ALLOCATION -4
921 
922 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
923 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
924 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat,PetscInt,const PetscInt[]);
925 
926 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
927 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
928 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
929 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat,const PetscInt [],const PetscInt [],const PetscScalar []);
930 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
931 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]);
932 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
933 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat,PetscInt[],PetscInt[],PetscInt[]);
934 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
935 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
936 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
937 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
938 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat,Mat*);
939 
940 PETSC_EXTERN PetscErrorCode MatISSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
941 PETSC_EXTERN PetscErrorCode MatSeqDenseSetLDA(Mat,PetscInt);
942 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat,Mat*);
943 
944 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
945 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
946 
947 PETSC_EXTERN PetscErrorCode MatDAADSetCtx(Mat,void*);
948 
949 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat,IS*);
950 /*
951   These routines are not usually accessed directly, rather solving is
952   done through the KSP and PC interfaces.
953 */
954 
955 /*J
956     MatOrderingType - String with the name of a PETSc matrix ordering
957 
958    Level: beginner
959 
960 .seealso: MatGetOrdering()
961 J*/
962 typedef const char* MatOrderingType;
963 #define MATORDERINGNATURAL     "natural"
964 #define MATORDERINGND          "nd"
965 #define MATORDERING1WD         "1wd"
966 #define MATORDERINGRCM         "rcm"
967 #define MATORDERINGQMD         "qmd"
968 #define MATORDERINGROWLENGTH   "rowlength"
969 #define MATORDERINGWBM         "wbm"
970 #define MATORDERINGSPECTRAL    "spectral"
971 #define MATORDERINGAMD         "amd"            /* only works if UMFPACK is installed with PETSc */
972 
973 PETSC_EXTERN PetscErrorCode MatGetOrdering(Mat,MatOrderingType,IS*,IS*);
974 PETSC_EXTERN PetscErrorCode MatGetOrderingList(PetscFunctionList*);
975 PETSC_EXTERN PetscErrorCode MatOrderingRegister(const char[],PetscErrorCode(*)(Mat,MatOrderingType,IS*,IS*));
976 PETSC_EXTERN PetscErrorCode MatOrderingRegisterAll(void);
977 PETSC_EXTERN PetscFunctionList MatOrderingList;
978 
979 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
980 PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat,PetscReal,PetscBool,Mat*);
981 
982 /*S
983     MatFactorShiftType - Numeric Shift.
984 
985    Level: beginner
986 
987 S*/
988 typedef enum {MAT_SHIFT_NONE,MAT_SHIFT_NONZERO,MAT_SHIFT_POSITIVE_DEFINITE,MAT_SHIFT_INBLOCKS} MatFactorShiftType;
989 PETSC_EXTERN const char *const MatFactorShiftTypes[];
990 PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];
991 
992 /*S
993    MatFactorInfo - Data passed into the matrix factorization routines
994 
995    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE, that is use
996 $     MatFactorInfo  info(MAT_FACTORINFO_SIZE)
997 
998    Notes: These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
999 
1000       You can use MatFactorInfoInitialize() to set default values.
1001 
1002    Level: developer
1003 
1004 .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor(),
1005           MatFactorInfoInitialize()
1006 
1007 S*/
1008 typedef struct {
1009   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
1010   PetscReal     usedt;
1011   PetscReal     dt;             /* drop tolerance */
1012   PetscReal     dtcol;          /* tolerance for pivoting */
1013   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
1014   PetscReal     fill;           /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1015   PetscReal     levels;         /* ICC/ILU(levels) */
1016   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1017                                    factorization may be faster if do not pivot */
1018   PetscReal     zeropivot;      /* pivot is called zero if less than this */
1019   PetscReal     shifttype;      /* type of shift added to matrix factor to prevent zero pivots */
1020   PetscReal     shiftamount;     /* how large the shift is */
1021 } MatFactorInfo;
1022 
1023 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo*);
1024 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat,IS,const MatFactorInfo*);
1025 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1026 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat,Mat,const MatFactorInfo*);
1027 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat,IS,IS,const MatFactorInfo*);
1028 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat,IS,IS,const MatFactorInfo*);
1029 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1030 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1031 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1032 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat,IS,const MatFactorInfo*);
1033 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat,Mat,const MatFactorInfo*);
1034 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat,PetscInt*,PetscInt*,PetscInt*);
1035 PETSC_EXTERN PetscErrorCode MatSolve(Mat,Vec,Vec);
1036 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat,Vec,Vec);
1037 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat,Vec,Vec);
1038 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat,Vec,Vec,Vec);
1039 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat,Vec,Vec);
1040 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
1041 PETSC_EXTERN PetscErrorCode MatSolves(Mat,Vecs,Vecs);
1042 
1043 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
1044 
1045 /*E
1046     MatSORType - What type of (S)SOR to perform
1047 
1048     Level: beginner
1049 
1050    May be bitwise ORd together
1051 
1052    Any additions/changes here MUST also be made in include/finclude/petscmat.h
1053 
1054    MatSORType may be bitwise ORd together, so do not change the numbers
1055 
1056 .seealso: MatSOR()
1057 E*/
1058 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
1059               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
1060               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
1061               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
1062 PETSC_EXTERN PetscErrorCode MatSOR(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
1063 
1064 /*
1065     These routines are for efficiently computing Jacobians via finite differences.
1066 */
1067 
1068 /*S
1069      MatColoring - Object for managing the coloring of matrices.
1070 
1071    Level: beginner
1072 
1073   Concepts: matrix, coloring
1074 
1075 .seealso:  MatFDColoringCreate() ISColoring MatFDColoring
1076 S*/
1077 typedef struct _p_MatColoring* MatColoring;
1078 /*J
1079     MatColoringType - String with the name of a PETSc matrix coloring
1080 
1081    Level: beginner
1082 
1083 .seealso: MatColoringSetType(), MatColoring
1084 J*/
1085 
1086 typedef const  char*           MatColoringType;
1087 #define MATCOLORINGJP      "jp"
1088 #define MATCOLORINGPOWER   "power"
1089 #define MATCOLORINGNATURAL "natural"
1090 #define MATCOLORINGSL      "sl"
1091 #define MATCOLORINGLF      "lf"
1092 #define MATCOLORINGID      "id"
1093 #define MATCOLORINGGREEDY  "greedy"
1094 
1095 /*E
1096    MatColoringWeightType - Type of weight scheme
1097 
1098     Not Collective
1099 
1100 +   MAT_COLORING_RANDOM  - Random weights
1101 .   MAT_COLORING_LEXICAL - Lexical weighting based upon global numbering.
1102 -   MAT_COLORING_LF      - Last-first weighting.
1103 
1104     Level: intermediate
1105 
1106    Any additions/changes here MUST also be made in include/finclude/petscmat.h
1107 
1108 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1109 E*/
1110 typedef enum {MAT_COLORING_WEIGHT_RANDOM,MAT_COLORING_WEIGHT_LEXICAL,MAT_COLORING_WEIGHT_LF,MAT_COLORING_WEIGHT_SL} MatColoringWeightType;
1111 
1112 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat,MatColoring*);
1113 PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat,PetscInt,PetscInt*);
1114 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring*);
1115 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring,PetscViewer);
1116 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring,MatColoringType);
1117 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1118 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring,PetscInt);
1119 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring,PetscInt*);
1120 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring,PetscInt);
1121 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring,PetscInt*);
1122 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring,ISColoring*);
1123 PETSC_EXTERN PetscErrorCode MatColoringRegisterAll(void);
1124 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[],PetscErrorCode(*)(MatColoring));
1125 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat,PetscInt,PetscInt,ISColoringValue[],ISColoring*);
1126 PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring,MatColoringWeightType);
1127 PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring,PetscReal*,PetscInt*);
1128 PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring,PetscReal **,PetscInt **lperm);
1129 
1130 /*S
1131      MatFDColoring - Object for computing a sparse Jacobian via finite differences
1132         and coloring
1133 
1134    Level: beginner
1135 
1136   Concepts: coloring, sparse Jacobian, finite differences
1137 
1138 .seealso:  MatFDColoringCreate()
1139 S*/
1140 typedef struct _p_MatFDColoring* MatFDColoring;
1141 
1142 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
1143 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring*);
1144 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring,PetscViewer);
1145 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring,PetscErrorCode (*)(void),void*);
1146 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring,PetscErrorCode (**)(void),void**);
1147 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
1148 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1149 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat,MatFDColoring,Vec,void *);
1150 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring,Vec);
1151 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring,PetscInt*,PetscInt*[]);
1152 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat,ISColoring,MatFDColoring);
1153 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring,PetscInt,PetscInt);
1154 
1155 
1156 /*S
1157      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring
1158 
1159    Level: beginner
1160 
1161   Concepts: coloring, sparse matrix product
1162 
1163 .seealso:  MatTransposeColoringCreate()
1164 S*/
1165 typedef struct _p_MatTransposeColoring* MatTransposeColoring;
1166 
1167 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat,ISColoring,MatTransposeColoring *);
1168 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring,Mat,Mat);
1169 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring,Mat,Mat);
1170 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring*);
1171 
1172 /*
1173     These routines are for partitioning matrices: currently used only
1174   for adjacency matrix, MatCreateMPIAdj().
1175 */
1176 
1177 /*S
1178      MatPartitioning - Object for managing the partitioning of a matrix or graph
1179 
1180    Level: beginner
1181 
1182   Concepts: partitioning
1183 
1184 .seealso:  MatPartitioningCreate(), MatPartitioningType
1185 S*/
1186 typedef struct _p_MatPartitioning* MatPartitioning;
1187 
1188 /*J
1189     MatPartitioningType - String with the name of a PETSc matrix partitioning
1190 
1191    Level: beginner
1192 dm
1193 .seealso: MatPartitioningCreate(), MatPartitioning
1194 J*/
1195 typedef const char* MatPartitioningType;
1196 #define MATPARTITIONINGCURRENT  "current"
1197 #define MATPARTITIONINGSQUARE   "square"
1198 #define MATPARTITIONINGPARMETIS "parmetis"
1199 #define MATPARTITIONINGCHACO    "chaco"
1200 #define MATPARTITIONINGPARTY    "party"
1201 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1202 
1203 
1204 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1205 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning,MatPartitioningType);
1206 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning,PetscInt);
1207 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning,Mat);
1208 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning,const PetscInt[]);
1209 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1210 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning,IS*);
1211 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning*);
1212 
1213 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[],PetscErrorCode (*)(MatPartitioning));
1214 
1215 
1216 PETSC_EXTERN PetscErrorCode MatPartitioningRegisterAll(void);
1217 
1218 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning,PetscViewer);
1219 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1220 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
1221 
1222 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1223 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1224 
1225 typedef enum { MP_CHACO_MULTILEVEL=1,MP_CHACO_SPECTRAL=2,MP_CHACO_LINEAR=4,MP_CHACO_RANDOM=5,MP_CHACO_SCATTERED=6 } MPChacoGlobalType;
1226 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1227 typedef enum { MP_CHACO_KERNIGHAN=1,MP_CHACO_NONE=2 } MPChacoLocalType;
1228 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1229 typedef enum { MP_CHACO_LANCZOS=0,MP_CHACO_RQI=1 } MPChacoEigenType;
1230 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1231 
1232 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning,MPChacoGlobalType);
1233 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning,MPChacoGlobalType*);
1234 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning,MPChacoLocalType);
1235 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning,MPChacoLocalType*);
1236 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning,PetscReal);
1237 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning,MPChacoEigenType);
1238 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning,MPChacoEigenType*);
1239 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning,PetscReal);
1240 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning,PetscReal*);
1241 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning,PetscInt);
1242 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning,PetscInt*);
1243 
1244 #define MP_PARTY_OPT "opt"
1245 #define MP_PARTY_LIN "lin"
1246 #define MP_PARTY_SCA "sca"
1247 #define MP_PARTY_RAN "ran"
1248 #define MP_PARTY_GBF "gbf"
1249 #define MP_PARTY_GCF "gcf"
1250 #define MP_PARTY_BUB "bub"
1251 #define MP_PARTY_DEF "def"
1252 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning,const char*);
1253 #define MP_PARTY_HELPFUL_SETS "hs"
1254 #define MP_PARTY_KERNIGHAN_LIN "kl"
1255 #define MP_PARTY_NONE "no"
1256 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning,const char*);
1257 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning,PetscReal);
1258 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning,PetscBool);
1259 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning,PetscBool);
1260 
1261 typedef enum { MP_PTSCOTCH_QUALITY,MP_PTSCOTCH_SPEED,MP_PTSCOTCH_BALANCE,MP_PTSCOTCH_SAFETY,MP_PTSCOTCH_SCALABILITY } MPPTScotchStrategyType;
1262 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1263 
1264 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning,PetscReal);
1265 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning,PetscReal*);
1266 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning,MPPTScotchStrategyType);
1267 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning,MPPTScotchStrategyType*);
1268 
1269 /*
1270     These routines are for coarsening matrices:
1271 */
1272 
1273 /*S
1274      MatCoarsen - Object for managing the coarsening of a graph (symmetric matrix)
1275 
1276    Level: beginner
1277 
1278   Concepts: coarsen
1279 
1280 .seealso:  MatCoarsenCreate), MatCoarsenType
1281 S*/
1282 typedef struct _p_MatCoarsen* MatCoarsen;
1283 
1284 /*J
1285     MatCoarsenType - String with the name of a PETSc matrix coarsen
1286 
1287    Level: beginner
1288 
1289 .seealso: MatCoarsenCreate(), MatCoarsen
1290 J*/
1291 typedef const char* MatCoarsenType;
1292 #define MATCOARSENMIS  "mis"
1293 #define MATCOARSENHEM  "hem"
1294 
1295 /* linked list for aggregates */
1296 typedef struct _PetscCDIntNd{
1297   struct _PetscCDIntNd *next;
1298   PetscInt             gid;
1299 }PetscCDIntNd;
1300 
1301 /* only used by node pool */
1302 typedef struct _PetscCDArrNd{
1303   struct _PetscCDArrNd *next;
1304   struct _PetscCDIntNd *array;
1305 }PetscCDArrNd;
1306 
1307 typedef struct _PetscCoarsenData{
1308   PetscCDArrNd pool_list;  /* node pool */
1309   PetscCDIntNd *new_node;
1310   PetscInt     new_left;
1311   PetscInt     chk_sz;
1312   PetscCDIntNd *extra_nodes;
1313   PetscCDIntNd **array;  /* Array of lists */
1314   PetscInt     size;
1315   Mat          mat;  /* cache a Mat for communication data */
1316 }PetscCoarsenData;
1317 
1318 PETSC_EXTERN PetscErrorCode MatCoarsenCreate(MPI_Comm,MatCoarsen*);
1319 PETSC_EXTERN PetscErrorCode MatCoarsenSetType(MatCoarsen,MatCoarsenType);
1320 PETSC_EXTERN PetscErrorCode MatCoarsenSetAdjacency(MatCoarsen,Mat);
1321 PETSC_EXTERN PetscErrorCode MatCoarsenSetGreedyOrdering(MatCoarsen,const IS);
1322 PETSC_EXTERN PetscErrorCode MatCoarsenSetStrictAggs(MatCoarsen,PetscBool);
1323 PETSC_EXTERN PetscErrorCode MatCoarsenSetVerbose(MatCoarsen,PetscInt);
1324 PETSC_EXTERN PetscErrorCode MatCoarsenGetData( MatCoarsen, PetscCoarsenData ** );
1325 PETSC_EXTERN PetscErrorCode MatCoarsenApply(MatCoarsen);
1326 PETSC_EXTERN PetscErrorCode MatCoarsenDestroy(MatCoarsen*);
1327 
1328 PETSC_EXTERN PetscErrorCode MatCoarsenRegister(const char[],PetscErrorCode (*)(MatCoarsen));
1329 
1330 
1331 PETSC_EXTERN PetscErrorCode MatCoarsenRegisterAll(void);
1332 
1333 PETSC_EXTERN PetscErrorCode MatCoarsenView(MatCoarsen,PetscViewer);
1334 PETSC_EXTERN PetscErrorCode MatCoarsenSetFromOptions(MatCoarsen);
1335 PETSC_EXTERN PetscErrorCode MatCoarsenGetType(MatCoarsen,MatCoarsenType*);
1336 PETSC_STATIC_INLINE PetscErrorCode MatCoarsenViewFromOptions(MatCoarsen A,const char prefix[],const char name[]) {return PetscObjectViewFromOptions((PetscObject)A,prefix,name);}
1337 
1338 PETSC_EXTERN PetscErrorCode MatMeshToVertexGraph(Mat,PetscInt,Mat*);
1339 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat,PetscInt,Mat*);
1340 
1341 /*
1342     If you add entries here you must also add them to finclude/petscmat.h
1343 */
1344 typedef enum { MATOP_SET_VALUES=0,
1345                MATOP_GET_ROW=1,
1346                MATOP_RESTORE_ROW=2,
1347                MATOP_MULT=3,
1348                MATOP_MULT_ADD=4,
1349                MATOP_MULT_TRANSPOSE=5,
1350                MATOP_MULT_TRANSPOSE_ADD=6,
1351                MATOP_SOLVE=7,
1352                MATOP_SOLVE_ADD=8,
1353                MATOP_SOLVE_TRANSPOSE=9,
1354                MATOP_SOLVE_TRANSPOSE_ADD=10,
1355                MATOP_LUFACTOR=11,
1356                MATOP_CHOLESKYFACTOR=12,
1357                MATOP_SOR=13,
1358                MATOP_TRANSPOSE=14,
1359                MATOP_GETINFO=15,
1360                MATOP_EQUAL=16,
1361                MATOP_GET_DIAGONAL=17,
1362                MATOP_DIAGONAL_SCALE=18,
1363                MATOP_NORM=19,
1364                MATOP_ASSEMBLY_BEGIN=20,
1365                MATOP_ASSEMBLY_END=21,
1366                MATOP_SET_OPTION=22,
1367                MATOP_ZERO_ENTRIES=23,
1368                MATOP_ZERO_ROWS=24,
1369                MATOP_LUFACTOR_SYMBOLIC=25,
1370                MATOP_LUFACTOR_NUMERIC=26,
1371                MATOP_CHOLESKY_FACTOR_SYMBOLIC=27,
1372                MATOP_CHOLESKY_FACTOR_NUMERIC=28,
1373                MATOP_SETUP_PREALLOCATION=29,
1374                MATOP_ILUFACTOR_SYMBOLIC=30,
1375                MATOP_ICCFACTOR_SYMBOLIC=31,
1376                /* MATOP_PLACEHOLDER_32=32, */
1377                /* MATOP_PLACEHOLDER_33=33, */
1378                MATOP_DUPLICATE=34,
1379                MATOP_FORWARD_SOLVE=35,
1380                MATOP_BACKWARD_SOLVE=36,
1381                MATOP_ILUFACTOR=37,
1382                MATOP_ICCFACTOR=38,
1383                MATOP_AXPY=39,
1384                MATOP_GET_SUBMATRICES=40,
1385                MATOP_INCREASE_OVERLAP=41,
1386                MATOP_GET_VALUES=42,
1387                MATOP_COPY=43,
1388                MATOP_GET_ROW_MAX=44,
1389                MATOP_SCALE=45,
1390                MATOP_SHIFT=46,
1391                MATOP_DIAGONAL_SET=47,
1392                MATOP_ZERO_ROWS_COLUMNS=48,
1393                MATOP_SET_RANDOM=49,
1394                MATOP_GET_ROW_IJ=50,
1395                MATOP_RESTORE_ROW_IJ=51,
1396                MATOP_GET_COLUMN_IJ=52,
1397                MATOP_RESTORE_COLUMN_IJ=53,
1398                MATOP_FDCOLORING_CREATE=54,
1399                MATOP_COLORING_PATCH=55,
1400                MATOP_SET_UNFACTORED=56,
1401                MATOP_PERMUTE=57,
1402                MATOP_SET_VALUES_BLOCKED=58,
1403                MATOP_GET_SUBMATRIX=59,
1404                MATOP_DESTROY=60,
1405                MATOP_VIEW=61,
1406                MATOP_CONVERT_FROM=62,
1407                MATOP_MATMAT_MULT=63,
1408                MATOP_MATMAT_MULT_SYMBOLIC=64,
1409                MATOP_MATMAT_MULT_NUMERIC=65,
1410                MATOP_SET_LOCAL_TO_GLOBAL_MAP=66,
1411                MATOP_SET_VALUES_LOCAL=67,
1412                MATOP_ZERO_ROWS_LOCAL=68,
1413                MATOP_GET_ROW_MAX_ABS=69,
1414                MATOP_GET_ROW_MIN_ABS=70,
1415                MATOP_CONVERT=71,
1416                MATOP_SET_COLORING=72,
1417                /* MATOP_PLACEHOLDER_73=73, */
1418                MATOP_SET_VALUES_ADIFOR=74,
1419                MATOP_FD_COLORING_APPLY=75,
1420                MATOP_SET_FROM_OPTIONS=76,
1421                MATOP_MULT_CONSTRAINED=77,
1422                MATOP_MULT_TRANSPOSE_CONSTRAIN=78,
1423                MATOP_FIND_ZERO_DIAGONALS=79,
1424                MATOP_MULT_MULTIPLE=80,
1425                MATOP_SOLVE_MULTIPLE=81,
1426                MATOP_GET_INERTIA=82,
1427                MATOP_LOAD=83,
1428                MATOP_IS_SYMMETRIC=84,
1429                MATOP_IS_HERMITIAN=85,
1430                MATOP_IS_STRUCTURALLY_SYMMETRIC=86,
1431                MATOP_SET_VALUES_BLOCKEDLOCAL=87,
1432                MATOP_GET_VECS=88,
1433                MATOP_MAT_MULT=89,
1434                MATOP_MAT_MULT_SYMBOLIC=90,
1435                MATOP_MAT_MULT_NUMERIC=91,
1436                MATOP_PTAP=92,
1437                MATOP_PTAP_SYMBOLIC=93,
1438                MATOP_PTAP_NUMERIC=94,
1439                MATOP_MAT_TRANSPOSE_MULT=95,
1440                MATOP_MAT_TRANSPOSE_MULT_SYMBO=96,
1441                MATOP_MAT_TRANSPOSE_MULT_NUMER=97,
1442                /* MATOP_PLACEHOLDER_98=98, */
1443                /* MATOP_PLACEHOLDER_99=99, */
1444                /* MATOP_PLACEHOLDER_100=100, */
1445                /* MATOP_PLACEHOLDER_101=101, */
1446                MATOP_CONJUGATE=102,
1447                /* MATOP_PLACEHOLDER_103=103, */
1448                MATOP_SET_VALUES_ROW=104,
1449                MATOP_REAL_PART=105,
1450                MATOP_IMAGINARY_PART=106,
1451                MATOP_GET_ROW_UPPER_TRIANGULAR=107,
1452                MATOP_RESTORE_ROW_UPPER_TRIANG=108,
1453                MATOP_MAT_SOLVE=109,
1454                MATOP_GET_REDUNDANT_MATRIX=110,
1455                MATOP_GET_ROW_MIN=111,
1456                MATOP_GET_COLUMN_VECTOR=112,
1457                MATOP_MISSING_DIAGONAL=113,
1458                MATOP_GET_SEQ_NONZERO_STRUCTUR=114,
1459                MATOP_CREATE=115,
1460                MATOP_GET_GHOSTS=116,
1461                MATOP_GET_LOCAL_SUB_MATRIX=117,
1462                MATOP_RESTORE_LOCALSUB_MATRIX=118,
1463                MATOP_MULT_DIAGONAL_BLOCK=119,
1464                MATOP_HERMITIAN_TRANSPOSE=120,
1465                MATOP_MULT_HERMITIAN_TRANSPOSE=121,
1466                MATOP_MULT_HERMITIAN_TRANS_ADD=122,
1467                MATOP_GET_MULTI_PROC_BLOCK=123,
1468                MATOP_FIND_NONZERO_ROWS=124,
1469                MATOP_GET_COLUMN_NORMS=125,
1470                MATOP_INVERT_BLOCK_DIAGONAL=126,
1471                /* MATOP_PLACEHOLDER_127=127, */
1472                MATOP_GET_SUB_MATRICES_PARALLE=128,
1473                MATOP_SET_VALUES_BATCH=129,
1474                MATOP_TRANSPOSE_MAT_MULT=130,
1475                MATOP_TRANSPOSE_MAT_MULT_SYMBO=131,
1476                MATOP_TRANSPOSE_MAT_MULT_NUMER=132,
1477                MATOP_TRANSPOSE_COLORING_CREAT=133,
1478                MATOP_TRANS_COLORING_APPLY_SPT=134,
1479                MATOP_TRANS_COLORING_APPLY_DEN=135,
1480                MATOP_RART=136,
1481                MATOP_RART_SYMBOLIC=137,
1482                MATOP_RART_NUMERIC=138,
1483                MATOP_SET_BLOCK_SIZES=139,
1484                MATOP_AYPX=140,
1485                MATOP_RESIDUAL=141,
1486                MATOP_FDCOLORING_SETUP=142,
1487                MATOP_MPICONCATENATESEQ=144
1488              } MatOperation;
1489 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat,MatOperation,PetscBool *);
1490 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat,MatOperation,void(*)(void));
1491 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat,MatOperation,void(**)(void));
1492 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat,void*);
1493 
1494 /*
1495    Codes for matrices stored on disk. By default they are
1496    stored in a universal format. By changing the format with
1497    PetscViewerSetFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
1498    be stored in a way natural for the matrix, for example dense matrices
1499    would be stored as dense. Matrices stored this way may only be
1500    read into matrices of the same type.
1501 */
1502 #define MATRIX_BINARY_FORMAT_DENSE -1
1503 
1504 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1505 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat,Mat*);
1506 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat,Mat);
1507 PETSC_EXTERN PetscErrorCode MatISGetMPIXAIJ(Mat,MatReuse,Mat*);
1508 
1509 /*S
1510      MatNullSpace - Object that removes a null space from a vector, i.e.
1511          orthogonalizes the vector to a subsapce
1512 
1513    Level: advanced
1514 
1515   Concepts: matrix; linear operator, null space
1516 
1517   Users manual sections:
1518 .   sec_singular
1519 
1520 .seealso:  MatNullSpaceCreate()
1521 S*/
1522 typedef struct _p_MatNullSpace* MatNullSpace;
1523 
1524 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm,PetscBool ,PetscInt,const Vec[],MatNullSpace*);
1525 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace,PetscErrorCode (*)(MatNullSpace,Vec,void*),void*);
1526 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace*);
1527 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace,Vec);
1528 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
1529 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat,MatNullSpace);
1530 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat,MatNullSpace);
1531 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat,MatNullSpace*);
1532 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace,Mat,PetscBool  *);
1533 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace,PetscViewer);
1534 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace,PetscBool*,PetscInt*,const Vec**);
1535 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec,MatNullSpace*);
1536 
1537 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat,IS);
1538 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1539 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat,PetscInt *);
1540 PETSC_EXTERN PetscErrorCode MatSeqBAIJInvertBlockDiagonal(Mat);
1541 
1542 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat,PetscInt,Mat*);
1543 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat,PetscInt,Mat*);
1544 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat,Mat*);
1545 
1546 PETSC_EXTERN PetscErrorCode MatComputeExplicitOperator(Mat,Mat*);
1547 
1548 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat,Vec);
1549 
1550 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
1551 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat,Vec,Vec);
1552 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat,PetscErrorCode(*)(void*,Vec,Vec),void*);
1553 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat,PetscErrorCode (*)(void*,PetscInt,Vec,PetscScalar*));
1554 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat,PetscErrorCode (*)(void*,Vec));
1555 PETSC_EXTERN PetscErrorCode MatMFFDAddNullSpace(Mat,MatNullSpace);
1556 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat,PetscScalar[],PetscInt);
1557 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
1558 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat,PetscReal);
1559 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat,PetscInt);
1560 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat,PetscScalar *);
1561 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat,const char[]);
1562 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void*,Vec,Vec,PetscScalar*);
1563 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat,PetscErrorCode (*)(void*,Vec,Vec,PetscScalar*),void*);
1564 
1565 /*S
1566     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
1567               Jacobian vector products
1568 
1569     Notes: MATMFFD is a specific MatType which uses the MatMFFD data structure
1570 
1571            MatMFFD*() methods actually take the Mat as their first argument. Not a MatMFFD data structure
1572 
1573     Level: developer
1574 
1575 .seealso: MATMFFD, MatCreateMFFD(), MatMFFDSetFuction(), MatMFFDSetType(), MatMFFDRegister()
1576 S*/
1577 typedef struct _p_MatMFFD* MatMFFD;
1578 
1579 /*J
1580     MatMFFDType - algorithm used to compute the h used in computing matrix-vector products via differencing of the function
1581 
1582    Level: beginner
1583 
1584 .seealso: MatMFFDSetType(), MatMFFDRegister()
1585 J*/
1586 typedef const char* MatMFFDType;
1587 #define MATMFFD_DS  "ds"
1588 #define MATMFFD_WP  "wp"
1589 
1590 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat,MatMFFDType);
1591 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[],PetscErrorCode (*)(MatMFFD));
1592 
1593 PETSC_EXTERN PetscErrorCode MatMFFDRegisterAll(void);
1594 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat,PetscReal);
1595 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat,PetscBool );
1596 
1597 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
1598 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
1599 
1600 /*
1601    PETSc interface to MUMPS
1602 */
1603 #ifdef PETSC_HAVE_MUMPS
1604 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat,PetscInt,PetscInt);
1605 PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat,PetscInt,PetscInt*);
1606 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat,PetscInt,PetscReal);
1607 PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat,PetscInt,PetscReal*);
1608 
1609 PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat,PetscInt,PetscInt*);
1610 PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat,PetscInt,PetscInt*);
1611 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat,PetscInt,PetscReal*);
1612 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat,PetscInt,PetscReal*);
1613 #endif
1614 
1615 /*
1616    PETSc interface to Mkl_Pardiso
1617 */
1618 #ifdef PETSC_HAVE_MKL_PARDISO
1619 PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat,PetscInt,PetscInt);
1620 #endif
1621 
1622 /*
1623    PETSc interface to SUPERLU
1624 */
1625 #ifdef PETSC_HAVE_SUPERLU
1626 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat,PetscReal);
1627 #endif
1628 
1629 #ifdef PETSC_HAVE_CUDA
1630 /*E
1631     MatCUSPARSEStorageFormat - indicates the storage format for CUSPARSE (GPU)
1632     matrices.
1633 
1634     Not Collective
1635 
1636 +   MAT_CUSPARSE_CSR - Compressed Sparse Row
1637 .   MAT_CUSPARSE_ELL - Ellpack (requires CUDA 4.2 or later).
1638 -   MAT_CUSPARSE_HYB - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
1639 
1640     Level: intermediate
1641 
1642    Any additions/changes here MUST also be made in include/finclude/petscmat.h
1643 
1644 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEFormatOperation
1645 E*/
1646 
1647 typedef enum {MAT_CUSPARSE_CSR, MAT_CUSPARSE_ELL, MAT_CUSPARSE_HYB} MatCUSPARSEStorageFormat;
1648 
1649 /* these will be strings associated with enumerated type defined above */
1650 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
1651 
1652 /*E
1653     MatCUSPARSEFormatOperation - indicates the operation of CUSPARSE (GPU)
1654     matrices whose operation should use a particular storage format.
1655 
1656     Not Collective
1657 
1658 +   MAT_CUSPARSE_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1659 .   MAT_CUSPARSE_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1660 .   MAT_CUSPARSE_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1661 -   MAT_CUSPARSE_ALL - sets the storage format for all CUSPARSE (GPU) matrices
1662 
1663     Level: intermediate
1664 
1665 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEStorageFormat
1666 E*/
1667 typedef enum {MAT_CUSPARSE_MULT_DIAG, MAT_CUSPARSE_MULT_OFFDIAG, MAT_CUSPARSE_MULT, MAT_CUSPARSE_ALL} MatCUSPARSEFormatOperation;
1668 
1669 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1670 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1671 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat,MatCUSPARSEFormatOperation,MatCUSPARSEStorageFormat);
1672 #endif
1673 
1674 #if defined(PETSC_HAVE_CUSP)
1675 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1676 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1677 
1678 /*E
1679     MatCUSPStorageFormat - indicates the storage format for CUSP (GPU)
1680     matrices.
1681 
1682     Not Collective
1683 
1684 +   MAT_CUSP_CSR - Compressed Sparse Row
1685 .   MAT_CUSP_DIA - Diagonal
1686 -   MAT_CUSP_ELL - Ellpack
1687 
1688     Level: intermediate
1689 
1690    Any additions/changes here MUST also be made in include/finclude/petscmat.h
1691 
1692 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1693 E*/
1694 typedef enum {MAT_CUSP_CSR, MAT_CUSP_DIA, MAT_CUSP_ELL} MatCUSPStorageFormat;
1695 
1696 /* these will be strings associated with enumerated type defined above */
1697 PETSC_EXTERN const char *const MatCUSPStorageFormats[];
1698 
1699 /*E
1700     MatCUSPFormatOperation - indicates the operation of CUSP (GPU)
1701     matrices whose operation should use a particular storage format.
1702 
1703     Not Collective
1704 
1705 +   MAT_CUSP_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1706 .   MAT_CUSP_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1707 .   MAT_CUSP_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1708 -   MAT_CUSP_ALL - sets the storage format for all CUSP (GPU) matrices
1709 
1710     Level: intermediate
1711 
1712    Any additions/changes here MUST also be made in include/finclude/petscmat.h
1713 
1714 .seealso: MatCUSPSetFormat(), MatCUSPStorageFormat
1715 E*/
1716 typedef enum {MAT_CUSP_MULT_DIAG, MAT_CUSP_MULT_OFFDIAG, MAT_CUSP_MULT, MAT_CUSP_ALL} MatCUSPFormatOperation;
1717 
1718 PETSC_EXTERN PetscErrorCode MatCUSPSetFormat(Mat,MatCUSPFormatOperation,MatCUSPStorageFormat);
1719 #endif
1720 
1721 #if defined(PETSC_HAVE_VIENNACL)
1722 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1723 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1724 #endif
1725 
1726 /*
1727    PETSc interface to FFTW
1728 */
1729 #if defined(PETSC_HAVE_FFTW)
1730 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat,Vec,Vec);
1731 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat,Vec,Vec);
1732 PETSC_EXTERN PetscErrorCode MatCreateVecsFFTW(Mat,Vec*,Vec*,Vec*);
1733 #endif
1734 
1735 #if defined(PETSC_HAVE_ELEMENTAL)
1736 PETSC_EXTERN PetscErrorCode PetscElementalInitializePackage(void);
1737 PETSC_EXTERN PetscErrorCode PetscElementalFinalizePackage(void);
1738 #endif
1739 
1740 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm,PetscInt,const IS[],PetscInt,const IS[],const Mat[],Mat*);
1741 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat,PetscInt*,PetscInt*);
1742 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat,IS[],IS[]);
1743 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat,IS[],IS[]);
1744 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat,PetscInt*,PetscInt*,Mat***);
1745 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat,PetscInt,PetscInt,Mat*);
1746 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat,VecType);
1747 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat,PetscInt,const IS[],PetscInt,const IS[],const Mat[]);
1748 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat,PetscInt,PetscInt,Mat);
1749 
1750 PETSC_EXTERN PetscErrorCode MatChop(Mat,PetscReal);
1751 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat,PetscReal,PetscInt*);
1752 
1753 #endif
1754