xref: /petsc/include/petscmat.h (revision 46bdf8c8e7980dd1dca8bd7d868b63fbdf2185ad) !
1 /*
2      Include file for the matrix component of PETSc
3 */
4 #ifndef __PETSCMAT_H
5 #define __PETSCMAT_H
6 #include <petscvec.h>
7 
8 /*S
9      Mat - Abstract PETSc matrix object used to manage all linear operators in PETSc, even those without
10            an explicit sparse representation (such as matrix-free operators)
11 
12    Level: beginner
13 
14   Concepts: matrix; linear operator
15 
16 .seealso:  MatCreate(), MatType, MatSetType(), MatDestroy()
17 S*/
18 typedef struct _p_Mat*           Mat;
19 
20 /*J
21     MatType - String with the name of a PETSc matrix type
22 
23    Level: beginner
24 
25 .seealso: MatSetType(), Mat, MatSolverPackage, MatRegister()
26 J*/
27 typedef const char* MatType;
28 #define MATSAME            "same"
29 #define MATMAIJ            "maij"
30 #define MATSEQMAIJ         "seqmaij"
31 #define MATMPIMAIJ         "mpimaij"
32 #define MATIS              "is"
33 #define MATAIJ             "aij"
34 #define MATSEQAIJ          "seqaij"
35 #define MATSEQAIJPTHREAD   "seqaijpthread"
36 #define MATAIJPTHREAD      "aijpthread"
37 #define MATMPIAIJ          "mpiaij"
38 #define MATAIJCRL          "aijcrl"
39 #define MATSEQAIJCRL       "seqaijcrl"
40 #define MATMPIAIJCRL       "mpiaijcrl"
41 #define MATAIJCUSP         "aijcusp"
42 #define MATSEQAIJCUSP      "seqaijcusp"
43 #define MATMPIAIJCUSP      "mpiaijcusp"
44 #define MATAIJCUSPARSE     "aijcusparse"
45 #define MATSEQAIJCUSPARSE  "seqaijcusparse"
46 #define MATMPIAIJCUSPARSE  "mpiaijcusparse"
47 #define MATAIJVIENNACL     "aijviennacl"
48 #define MATSEQAIJVIENNACL  "seqaijviennacl"
49 #define MATMPIAIJVIENNACL  "mpiaijviennacl"
50 #define MATAIJPERM         "aijperm"
51 #define MATSEQAIJPERM      "seqaijperm"
52 #define MATMPIAIJPERM      "mpiaijperm"
53 #define MATSHELL           "shell"
54 #define MATDENSE           "dense"
55 #define MATSEQDENSE        "seqdense"
56 #define MATMPIDENSE        "mpidense"
57 #define MATELEMENTAL       "elemental"
58 #define MATBAIJ            "baij"
59 #define MATSEQBAIJ         "seqbaij"
60 #define MATMPIBAIJ         "mpibaij"
61 #define MATMPIADJ          "mpiadj"
62 #define MATSBAIJ           "sbaij"
63 #define MATSEQSBAIJ        "seqsbaij"
64 #define MATMPISBAIJ        "mpisbaij"
65 #define MATSEQBSTRM        "seqbstrm"
66 #define MATMPIBSTRM        "mpibstrm"
67 #define MATBSTRM           "bstrm"
68 #define MATSEQSBSTRM       "seqsbstrm"
69 #define MATMPISBSTRM       "mpisbstrm"
70 #define MATSBSTRM          "sbstrm"
71 #define MATDAAD            "daad"
72 #define MATMFFD            "mffd"
73 #define MATNORMAL          "normal"
74 #define MATLRC             "lrc"
75 #define MATSCATTER         "scatter"
76 #define MATBLOCKMAT        "blockmat"
77 #define MATCOMPOSITE       "composite"
78 #define MATFFT             "fft"
79 #define MATFFTW            "fftw"
80 #define MATSEQCUFFT        "seqcufft"
81 #define MATTRANSPOSEMAT    "transpose"
82 #define MATSCHURCOMPLEMENT "schurcomplement"
83 #define MATPYTHON          "python"
84 #define MATHYPRESTRUCT     "hyprestruct"
85 #define MATHYPRESSTRUCT    "hypresstruct"
86 #define MATSUBMATRIX       "submatrix"
87 #define MATLOCALREF        "localref"
88 #define MATNEST            "nest"
89 
90 /*J
91     MatSolverPackage - String with the name of a PETSc matrix solver type.
92 
93     For example: "petsc" indicates what PETSc provides, "superlu" indicates either
94        SuperLU or SuperLU_Dist etc.
95 
96 
97    Level: beginner
98 
99 .seealso: MatGetFactor(), Mat, MatSetType(), MatType
100 J*/
101 #define MatSolverPackage char*
102 #define MATSOLVERSUPERLU      "superlu"
103 #define MATSOLVERSUPERLU_DIST "superlu_dist"
104 #define MATSOLVERUMFPACK      "umfpack"
105 #define MATSOLVERCHOLMOD      "cholmod"
106 #define MATSOLVERESSL         "essl"
107 #define MATSOLVERLUSOL        "lusol"
108 #define MATSOLVERMUMPS        "mumps"
109 #define MATSOLVERMKL_PARDISO  "mkl_pardiso"
110 #define MATSOLVERPASTIX       "pastix"
111 #define MATSOLVERMATLAB       "matlab"
112 #define MATSOLVERPETSC        "petsc"
113 #define MATSOLVERBAS          "bas"
114 #define MATSOLVERCUSPARSE     "cusparse"
115 #define MATSOLVERBSTRM        "bstrm"
116 #define MATSOLVERSBSTRM       "sbstrm"
117 #define MATSOLVERELEMENTAL    "elemental"
118 #define MATSOLVERCLIQUE       "clique"
119 #define MATSOLVERKLU          "klu"
120 
121 /*E
122     MatFactorType - indicates what type of factorization is requested
123 
124     Level: beginner
125 
126    Any additions/changes here MUST also be made in include/finclude/petscmat.h
127 
128 .seealso: MatSolverPackage, MatGetFactor()
129 E*/
130 typedef enum {MAT_FACTOR_NONE, MAT_FACTOR_LU, MAT_FACTOR_CHOLESKY, MAT_FACTOR_ILU, MAT_FACTOR_ICC,MAT_FACTOR_ILUDT} MatFactorType;
131 PETSC_EXTERN const char *const MatFactorTypes[];
132 
133 PETSC_EXTERN PetscErrorCode MatGetFactor(Mat,const MatSolverPackage,MatFactorType,Mat*);
134 PETSC_EXTERN PetscErrorCode MatGetFactorAvailable(Mat,const MatSolverPackage,MatFactorType,PetscBool *);
135 PETSC_EXTERN PetscErrorCode MatFactorGetSolverPackage(Mat,const MatSolverPackage*);
136 PETSC_EXTERN PetscErrorCode MatGetFactorType(Mat,MatFactorType*);
137 
138 /* Logging support */
139 #define    MAT_FILE_CLASSID 1211216    /* used to indicate matrices in binary files */
140 PETSC_EXTERN PetscClassId MAT_CLASSID;
141 PETSC_EXTERN PetscClassId MAT_COLORING_CLASSID;
142 PETSC_EXTERN PetscClassId MAT_FDCOLORING_CLASSID;
143 PETSC_EXTERN PetscClassId MAT_TRANSPOSECOLORING_CLASSID;
144 PETSC_EXTERN PetscClassId MAT_PARTITIONING_CLASSID;
145 PETSC_EXTERN PetscClassId MAT_COARSEN_CLASSID;
146 PETSC_EXTERN PetscClassId MAT_NULLSPACE_CLASSID;
147 PETSC_EXTERN PetscClassId MATMFFD_CLASSID;
148 
149 /*E
150     MatReuse - Indicates if matrices obtained from a previous call to MatGetSubMatrices()
151      or MatGetSubMatrix() are to be reused to store the new matrix values. For MatConvert() is used to indicate
152      that the input matrix is to be replaced with the converted matrix.
153 
154     Level: beginner
155 
156    Any additions/changes here MUST also be made in include/finclude/petscmat.h
157 
158 .seealso: MatGetSubMatrices(), MatGetSubMatrix(), MatDestroyMatrices(), MatConvert()
159 E*/
160 typedef enum {MAT_INITIAL_MATRIX,MAT_REUSE_MATRIX,MAT_IGNORE_MATRIX} MatReuse;
161 
162 /*E
163     MatGetSubMatrixOption - Indicates if matrices obtained from a call to MatGetSubMatrices()
164      include the matrix values. Currently it is only used by MatGetSeqNonzerostructure().
165 
166     Level: beginner
167 
168 .seealso: MatGetSeqNonzerostructure()
169 E*/
170 typedef enum {MAT_DO_NOT_GET_VALUES,MAT_GET_VALUES} MatGetSubMatrixOption;
171 
172 PETSC_EXTERN PetscErrorCode MatInitializePackage(void);
173 
174 PETSC_EXTERN PetscErrorCode MatCreate(MPI_Comm,Mat*);
175 PETSC_EXTERN PetscErrorCode MatSetSizes(Mat,PetscInt,PetscInt,PetscInt,PetscInt);
176 PETSC_EXTERN PetscErrorCode MatSetType(Mat,MatType);
177 PETSC_EXTERN PetscErrorCode MatSetFromOptions(Mat);
178 PETSC_STATIC_INLINE PetscErrorCode MatViewFromOptions(Mat A,const char prefix[],const char name[]) {return PetscObjectViewFromOptions((PetscObject)A,prefix,name);}
179 PETSC_EXTERN PetscErrorCode MatRegisterAll(void);
180 PETSC_EXTERN PetscErrorCode MatRegister(const char[],PetscErrorCode(*)(Mat));
181 PETSC_EXTERN PetscErrorCode MatRegisterBaseName(const char[],const char[],const char[]);
182 PETSC_EXTERN PetscErrorCode MatSetOptionsPrefix(Mat,const char[]);
183 PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefix(Mat,const char[]);
184 PETSC_EXTERN PetscErrorCode MatGetOptionsPrefix(Mat,const char*[]);
185 
186 PETSC_EXTERN PetscBool         MatRegisterAllCalled;
187 PETSC_EXTERN PetscFunctionList MatList;
188 PETSC_EXTERN PetscFunctionList MatColoringList;
189 PETSC_EXTERN PetscFunctionList MatPartitioningList;
190 PETSC_EXTERN PetscFunctionList MatCoarsenList;
191 
192 /*E
193     MatStructure - Indicates if two matrices have the same nonzero structure
194 
195     Level: beginner
196 
197    Any additions/changes here MUST also be made in include/finclude/petscmat.h
198 
199 .seealso: MatCopy(), MatAXPY()
200 E*/
201 typedef enum {DIFFERENT_NONZERO_PATTERN,SUBSET_NONZERO_PATTERN,SAME_NONZERO_PATTERN} MatStructure;
202 
203 PETSC_EXTERN PetscErrorCode MatCreateSeqDense(MPI_Comm,PetscInt,PetscInt,PetscScalar[],Mat*);
204 PETSC_EXTERN PetscErrorCode MatCreateDense(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar[],Mat*);
205 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
206 PETSC_EXTERN PetscErrorCode MatCreateAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
207 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
208 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSplitArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],PetscInt[],PetscInt[],PetscScalar[],Mat*);
209 
210 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
211 PETSC_EXTERN PetscErrorCode MatCreateBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
212 PETSC_EXTERN PetscErrorCode MatCreateMPIBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat*);
213 
214 PETSC_EXTERN PetscErrorCode MatCreateMPIAdj(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscInt[],Mat*);
215 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
216 
217 PETSC_EXTERN PetscErrorCode MatCreateSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
218 PETSC_EXTERN PetscErrorCode MatCreateMPISBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
219 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
220 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
221 PETSC_EXTERN PetscErrorCode MatXAIJSetPreallocation(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscInt[],const PetscInt[]);
222 
223 PETSC_EXTERN PetscErrorCode MatCreateShell(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,void *,Mat*);
224 PETSC_EXTERN PetscErrorCode MatCreateNormal(Mat,Mat*);
225 PETSC_EXTERN PetscErrorCode MatCreateLRC(Mat,Mat,Mat,Mat*);
226 PETSC_EXTERN PetscErrorCode MatCreateIS(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,ISLocalToGlobalMapping,Mat*);
227 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
228 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
229 
230 PETSC_EXTERN PetscErrorCode MatCreateSeqBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
231 PETSC_EXTERN PetscErrorCode MatCreateMPIBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
232 PETSC_EXTERN PetscErrorCode MatCreateSeqSBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
233 PETSC_EXTERN PetscErrorCode MatCreateMPISBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
234 
235 PETSC_EXTERN PetscErrorCode MatCreateScatter(MPI_Comm,VecScatter,Mat*);
236 PETSC_EXTERN PetscErrorCode MatScatterSetVecScatter(Mat,VecScatter);
237 PETSC_EXTERN PetscErrorCode MatScatterGetVecScatter(Mat,VecScatter*);
238 PETSC_EXTERN PetscErrorCode MatCreateBlockMat(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt*,Mat*);
239 PETSC_EXTERN PetscErrorCode MatCompositeAddMat(Mat,Mat);
240 PETSC_EXTERN PetscErrorCode MatCompositeMerge(Mat);
241 PETSC_EXTERN PetscErrorCode MatCreateComposite(MPI_Comm,PetscInt,const Mat*,Mat*);
242 typedef enum {MAT_COMPOSITE_ADDITIVE,MAT_COMPOSITE_MULTIPLICATIVE} MatCompositeType;
243 PETSC_EXTERN PetscErrorCode MatCompositeSetType(Mat,MatCompositeType);
244 
245 PETSC_EXTERN PetscErrorCode MatCreateFFT(MPI_Comm,PetscInt,const PetscInt[],MatType,Mat*);
246 PETSC_EXTERN PetscErrorCode MatCreateSeqCUFFT(MPI_Comm,PetscInt,const PetscInt[],Mat*);
247 
248 PETSC_EXTERN PetscErrorCode MatCreateTranspose(Mat,Mat*);
249 PETSC_EXTERN PetscErrorCode MatCreateSubMatrix(Mat,IS,IS,Mat*);
250 PETSC_EXTERN PetscErrorCode MatSubMatrixUpdate(Mat,Mat,IS,IS);
251 PETSC_EXTERN PetscErrorCode MatCreateLocalRef(Mat,IS,IS,Mat*);
252 
253 PETSC_EXTERN PetscErrorCode MatPythonSetType(Mat,const char[]);
254 
255 PETSC_EXTERN PetscErrorCode MatSetUp(Mat);
256 PETSC_EXTERN PetscErrorCode MatDestroy(Mat*);
257 PETSC_EXTERN PetscErrorCode MatGetNonzeroState(Mat,PetscObjectState*);
258 
259 PETSC_EXTERN PetscErrorCode MatConjugate(Mat);
260 PETSC_EXTERN PetscErrorCode MatRealPart(Mat);
261 PETSC_EXTERN PetscErrorCode MatImaginaryPart(Mat);
262 PETSC_EXTERN PetscErrorCode MatGetDiagonalBlock(Mat,Mat*);
263 PETSC_EXTERN PetscErrorCode MatGetTrace(Mat,PetscScalar*);
264 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonal(Mat,const PetscScalar **);
265 
266 /* ------------------------------------------------------------*/
267 PETSC_EXTERN PetscErrorCode MatSetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
268 PETSC_EXTERN PetscErrorCode MatSetValuesBlocked(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
269 PETSC_EXTERN PetscErrorCode MatSetValuesRow(Mat,PetscInt,const PetscScalar[]);
270 PETSC_EXTERN PetscErrorCode MatSetValuesRowLocal(Mat,PetscInt,const PetscScalar[]);
271 PETSC_EXTERN PetscErrorCode MatSetValuesBatch(Mat,PetscInt,PetscInt,PetscInt[],const PetscScalar[]);
272 PETSC_EXTERN PetscErrorCode MatSetRandom(Mat,PetscRandom);
273 
274 /*S
275      MatStencil - Data structure (C struct) for storing information about a single row or
276         column of a matrix as indexed on an associated grid.
277 
278    Fortran usage is different, see MatSetValuesStencil() for details.
279 
280    Level: beginner
281 
282   Concepts: matrix; linear operator
283 
284 .seealso:  MatSetValuesStencil(), MatSetStencil(), MatSetValuesBlockedStencil()
285 S*/
286 typedef struct {
287   PetscInt k,j,i,c;
288 } MatStencil;
289 
290 PETSC_EXTERN PetscErrorCode MatSetValuesStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
291 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
292 PETSC_EXTERN PetscErrorCode MatSetStencil(Mat,PetscInt,const PetscInt[],const PetscInt[],PetscInt);
293 
294 PETSC_EXTERN PetscErrorCode MatSetColoring(Mat,ISColoring);
295 PETSC_EXTERN PetscErrorCode MatSetValuesAdifor(Mat,PetscInt,void*);
296 
297 /*E
298     MatAssemblyType - Indicates if the matrix is now to be used, or if you plan
299      to continue to add values to it
300 
301     Level: beginner
302 
303 .seealso: MatAssemblyBegin(), MatAssemblyEnd()
304 E*/
305 typedef enum {MAT_FLUSH_ASSEMBLY=1,MAT_FINAL_ASSEMBLY=0} MatAssemblyType;
306 PETSC_EXTERN PetscErrorCode MatAssemblyBegin(Mat,MatAssemblyType);
307 PETSC_EXTERN PetscErrorCode MatAssemblyEnd(Mat,MatAssemblyType);
308 PETSC_EXTERN PetscErrorCode MatAssembled(Mat,PetscBool *);
309 
310 
311 
312 /*E
313     MatOption - Options that may be set for a matrix and its behavior or storage
314 
315     Level: beginner
316 
317    Any additions/changes here MUST also be made in include/finclude/petscmat.h
318 
319    Developer Notes: Entries that are negative need not be called collectively by all processes.
320 
321 .seealso: MatSetOption()
322 E*/
323 typedef enum {MAT_OPTION_MIN = -5,
324               MAT_NEW_NONZERO_LOCATION_ERR = -4,
325               MAT_UNUSED_NONZERO_LOCATION_ERR = -3,
326               MAT_NEW_NONZERO_ALLOCATION_ERR = -2,
327               MAT_ROW_ORIENTED = -1,
328               MAT_SYMMETRIC = 1,
329               MAT_STRUCTURALLY_SYMMETRIC = 2,
330               MAT_NEW_DIAGONALS = 3,
331               MAT_IGNORE_OFF_PROC_ENTRIES = 4,
332               MAT_USE_HASH_TABLE = 5,
333               MAT_KEEP_NONZERO_PATTERN = 6,
334               MAT_IGNORE_ZERO_ENTRIES = 7,
335               MAT_USE_INODES = 8,
336               MAT_HERMITIAN = 9,
337               MAT_SYMMETRY_ETERNAL = 10,
338               MAT_DUMMY = 11,
339               MAT_IGNORE_LOWER_TRIANGULAR = 12,
340               MAT_ERROR_LOWER_TRIANGULAR = 13,
341               MAT_GETROW_UPPERTRIANGULAR = 14,
342               MAT_SPD = 15,
343               MAT_NO_OFF_PROC_ZERO_ROWS = 16,
344               MAT_NO_OFF_PROC_ENTRIES = 17,
345               MAT_NEW_NONZERO_LOCATIONS = 18,
346               MAT_OPTION_MAX = 19} MatOption;
347 
348 PETSC_EXTERN const char *MatOptions[];
349 PETSC_EXTERN PetscErrorCode MatSetOption(Mat,MatOption,PetscBool );
350 PETSC_EXTERN PetscErrorCode MatGetType(Mat,MatType*);
351 
352 PETSC_EXTERN PetscErrorCode MatGetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar[]);
353 PETSC_EXTERN PetscErrorCode MatGetRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
354 PETSC_EXTERN PetscErrorCode MatRestoreRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
355 PETSC_EXTERN PetscErrorCode MatGetRowUpperTriangular(Mat);
356 PETSC_EXTERN PetscErrorCode MatRestoreRowUpperTriangular(Mat);
357 PETSC_EXTERN PetscErrorCode MatGetColumn(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
358 PETSC_EXTERN PetscErrorCode MatRestoreColumn(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
359 PETSC_EXTERN PetscErrorCode MatGetColumnVector(Mat,Vec,PetscInt);
360 PETSC_EXTERN PetscErrorCode MatSeqAIJGetArray(Mat,PetscScalar *[]);
361 PETSC_EXTERN PetscErrorCode MatSeqAIJRestoreArray(Mat,PetscScalar *[]);
362 PETSC_EXTERN PetscErrorCode MatSeqAIJSetValuesLocalFast(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
363 PETSC_EXTERN PetscErrorCode MatDenseGetArray(Mat,PetscScalar *[]);
364 PETSC_EXTERN PetscErrorCode MatDenseRestoreArray(Mat,PetscScalar *[]);
365 PETSC_EXTERN PetscErrorCode MatGetBlockSize(Mat,PetscInt *);
366 PETSC_EXTERN PetscErrorCode MatSetBlockSize(Mat,PetscInt);
367 PETSC_EXTERN PetscErrorCode MatGetBlockSizes(Mat,PetscInt *,PetscInt *);
368 PETSC_EXTERN PetscErrorCode MatSetBlockSizes(Mat,PetscInt,PetscInt);
369 PETSC_EXTERN PetscErrorCode MatSetBlockSizesFromMats(Mat,Mat,Mat);
370 PETSC_EXTERN PetscErrorCode MatSetNThreads(Mat,PetscInt);
371 PETSC_EXTERN PetscErrorCode MatGetNThreads(Mat,PetscInt*);
372 
373 PETSC_EXTERN PetscErrorCode MatMult(Mat,Vec,Vec);
374 PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat,Vec,Vec);
375 PETSC_EXTERN PetscErrorCode MatMultAdd(Mat,Vec,Vec,Vec);
376 PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat,Vec,Vec);
377 PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat,Vec,Vec);
378 PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat,Mat,PetscReal,PetscBool *);
379 PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat,Mat,PetscReal,PetscBool *);
380 PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat,Vec,Vec,Vec);
381 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat,Vec,Vec,Vec);
382 PETSC_EXTERN PetscErrorCode MatMultConstrained(Mat,Vec,Vec);
383 PETSC_EXTERN PetscErrorCode MatMultTransposeConstrained(Mat,Vec,Vec);
384 PETSC_EXTERN PetscErrorCode MatMatSolve(Mat,Mat,Mat);
385 PETSC_EXTERN PetscErrorCode MatResidual(Mat,Vec,Vec,Vec);
386 
387 /*E
388     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
389   its numerical values copied over or just its nonzero structure.
390 
391     Level: beginner
392 
393    Any additions/changes here MUST also be made in include/finclude/petscmat.h
394 
395 $   MAT_SHARE_NONZERO_PATTERN - the i and j arrays in the new matrix will be shared with the original matrix
396 $                               this also triggers the MAT_DO_NOT_COPY_VALUES option. This is used when you
397 $                               have several matrices with the same nonzero pattern.
398 
399 .seealso: MatDuplicate()
400 E*/
401 typedef enum {MAT_DO_NOT_COPY_VALUES,MAT_COPY_VALUES,MAT_SHARE_NONZERO_PATTERN} MatDuplicateOption;
402 
403 PETSC_EXTERN PetscErrorCode MatConvert(Mat,MatType,MatReuse,Mat*);
404 PETSC_EXTERN PetscErrorCode MatDuplicate(Mat,MatDuplicateOption,Mat*);
405 
406 
407 PETSC_EXTERN PetscErrorCode MatCopy(Mat,Mat,MatStructure);
408 PETSC_EXTERN PetscErrorCode MatView(Mat,PetscViewer);
409 PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat,PetscReal,PetscBool *);
410 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat,PetscBool *);
411 PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat,PetscReal,PetscBool *);
412 PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat,PetscBool *,PetscBool *);
413 PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat,PetscBool *,PetscBool *);
414 PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat,PetscBool  *,PetscInt *);
415 PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);
416 
417 PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
418 PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
419 PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
420 PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
421 
422 /*S
423      MatInfo - Context of matrix information, used with MatGetInfo()
424 
425    In Fortran this is simply a double precision array of dimension MAT_INFO_SIZE
426 
427    Level: intermediate
428 
429   Concepts: matrix^nonzero information
430 
431 .seealso:  MatGetInfo(), MatInfoType
432 S*/
433 typedef struct {
434   PetscLogDouble block_size;                         /* block size */
435   PetscLogDouble nz_allocated,nz_used,nz_unneeded;   /* number of nonzeros */
436   PetscLogDouble memory;                             /* memory allocated */
437   PetscLogDouble assemblies;                         /* number of matrix assemblies called */
438   PetscLogDouble mallocs;                            /* number of mallocs during MatSetValues() */
439   PetscLogDouble fill_ratio_given,fill_ratio_needed; /* fill ratio for LU/ILU */
440   PetscLogDouble factor_mallocs;                     /* number of mallocs during factorization */
441 } MatInfo;
442 
443 /*E
444     MatInfoType - Indicates if you want information about the local part of the matrix,
445      the entire parallel matrix or the maximum over all the local parts.
446 
447     Level: beginner
448 
449    Any additions/changes here MUST also be made in include/finclude/petscmat.h
450 
451 .seealso: MatGetInfo(), MatInfo
452 E*/
453 typedef enum {MAT_LOCAL=1,MAT_GLOBAL_MAX=2,MAT_GLOBAL_SUM=3} MatInfoType;
454 PETSC_EXTERN PetscErrorCode MatGetInfo(Mat,MatInfoType,MatInfo*);
455 PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat,Vec);
456 PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat,Vec,PetscInt[]);
457 PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat,Vec,PetscInt[]);
458 PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat,Vec,PetscInt[]);
459 PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat,Vec,PetscInt[]);
460 PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat,Vec);
461 PETSC_EXTERN PetscErrorCode MatTranspose(Mat,MatReuse,Mat*);
462 PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat,MatReuse,Mat*);
463 PETSC_EXTERN PetscErrorCode MatPermute(Mat,IS,IS,Mat *);
464 PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat,Vec,Vec);
465 PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat,Vec,InsertMode);
466 PETSC_EXTERN PetscErrorCode MatEqual(Mat,Mat,PetscBool *);
467 PETSC_EXTERN PetscErrorCode MatMultEqual(Mat,Mat,PetscInt,PetscBool *);
468 PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat,Mat,PetscInt,PetscBool *);
469 PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat,Mat,PetscInt,PetscBool *);
470 PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat,Mat,PetscInt,PetscBool *);
471 
472 PETSC_EXTERN PetscErrorCode MatNorm(Mat,NormType,PetscReal *);
473 PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat,NormType,PetscReal *);
474 PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
475 PETSC_EXTERN PetscErrorCode MatZeroRows(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
476 PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat,IS,PetscScalar,Vec,Vec);
477 PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat,PetscInt,const MatStencil [],PetscScalar,Vec,Vec);
478 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat,PetscInt,const MatStencil[],PetscScalar,Vec,Vec);
479 PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
480 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat,IS,PetscScalar,Vec,Vec);
481 
482 PETSC_EXTERN PetscErrorCode MatGetSize(Mat,PetscInt*,PetscInt*);
483 PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat,PetscInt*,PetscInt*);
484 PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat,PetscInt*,PetscInt*);
485 PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat,const PetscInt**);
486 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat,PetscInt*,PetscInt*);
487 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat,const PetscInt**);
488 PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat,IS*,IS*);
489 
490 PETSC_EXTERN PetscErrorCode MatGetSubMatrices(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
491 PETSC_EXTERN PetscErrorCode MatGetSubMatricesParallel(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
492 PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt,Mat *[]);
493 PETSC_EXTERN PetscErrorCode MatGetSubMatrix(Mat,IS,IS,MatReuse,Mat *);
494 PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat,IS,IS,Mat*);
495 PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat,IS,IS,Mat*);
496 PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat,Mat*);
497 PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat*);
498 
499 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJConcatenateSeqAIJ(MPI_Comm,Mat,PetscInt,MatReuse,Mat*);
500 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJConcatenateSeqAIJSymbolic(MPI_Comm,Mat,PetscInt,Mat*);
501 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJConcatenateSeqAIJNumeric(MPI_Comm,Mat,PetscInt,Mat);
502 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm,Mat,PetscInt,PetscInt,MatReuse,Mat*);
503 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm,Mat,PetscInt,PetscInt,Mat*);
504 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat,Mat);
505 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat,MatReuse,Mat*);
506 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat,MatReuse,IS*,IS*,Mat*);
507 PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat,Mat,MatReuse,IS*,IS*,Mat*);
508 PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *,const PetscInt *[]);
509 
510 PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat,PetscInt,IS[],PetscInt);
511 
512 PETSC_EXTERN PetscErrorCode MatMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
513 PETSC_EXTERN PetscErrorCode MatMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
514 PETSC_EXTERN PetscErrorCode MatMatMultNumeric(Mat,Mat,Mat);
515 
516 PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
517 PETSC_EXTERN PetscErrorCode MatMatMatMultSymbolic(Mat,Mat,Mat,PetscReal,Mat*);
518 PETSC_EXTERN PetscErrorCode MatMatMatMultNumeric(Mat,Mat,Mat,Mat);
519 
520 PETSC_EXTERN PetscErrorCode MatPtAP(Mat,Mat,MatReuse,PetscReal,Mat*);
521 PETSC_EXTERN PetscErrorCode MatPtAPSymbolic(Mat,Mat,PetscReal,Mat*);
522 PETSC_EXTERN PetscErrorCode MatPtAPNumeric(Mat,Mat,Mat);
523 PETSC_EXTERN PetscErrorCode MatRARt(Mat,Mat,MatReuse,PetscReal,Mat*);
524 PETSC_EXTERN PetscErrorCode MatRARtSymbolic(Mat,Mat,PetscReal,Mat*);
525 PETSC_EXTERN PetscErrorCode MatRARtNumeric(Mat,Mat,Mat);
526 
527 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
528 PETSC_EXTERN PetscErrorCode MatTransposetMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
529 PETSC_EXTERN PetscErrorCode MatTransposetMatMultNumeric(Mat,Mat,Mat);
530 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat,Mat,MatReuse,PetscReal,Mat*);
531 PETSC_EXTERN PetscErrorCode MatMatTransposeMultSymbolic(Mat,Mat,PetscReal,Mat*);
532 PETSC_EXTERN PetscErrorCode MatMatTransposeMultNumeric(Mat,Mat,Mat);
533 
534 PETSC_EXTERN PetscErrorCode MatAXPY(Mat,PetscScalar,Mat,MatStructure);
535 PETSC_EXTERN PetscErrorCode MatAYPX(Mat,PetscScalar,Mat,MatStructure);
536 
537 PETSC_EXTERN PetscErrorCode MatScale(Mat,PetscScalar);
538 PETSC_EXTERN PetscErrorCode MatShift(Mat,PetscScalar);
539 
540 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
541 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
542 PETSC_EXTERN PetscErrorCode MatGetLayouts(Mat,PetscLayout*,PetscLayout*);
543 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
544 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
545 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
546 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
547 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
548 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
549 
550 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat,PetscInt,PetscInt);
551 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat,PetscInt*,PetscInt*,PetscInt*,PetscInt*);
552 
553 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat,Vec,Vec);
554 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat,Vec,Vec,Vec);
555 PETSC_EXTERN PetscErrorCode MatRestrict(Mat,Vec,Vec);
556 PETSC_EXTERN PetscErrorCode MatGetVecs(Mat,Vec*,Vec*);
557 PETSC_EXTERN PetscErrorCode MatGetRedundantMatrix(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 
562 /*MC
563    MatSetValue - Set a single entry into a matrix.
564 
565    Not collective
566 
567    Synopsis:
568      #include <petscmat.h>
569      PetscErrorCode MatSetValue(Mat m,PetscInt row,PetscInt col,PetscScalar value,InsertMode mode)
570 
571    Input Parameters:
572 +  m - the matrix
573 .  row - the row location of the entry
574 .  col - the column location of the entry
575 .  value - the value to insert
576 -  mode - either INSERT_VALUES or ADD_VALUES
577 
578    Notes:
579    For efficiency one should use MatSetValues() and set several or many
580    values simultaneously if possible.
581 
582    Level: beginner
583 
584 .seealso: MatSetValues(), MatSetValueLocal()
585 M*/
586 PETSC_STATIC_INLINE PetscErrorCode MatSetValue(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValues(v,1,&i,1,&j,&va,mode);}
587 
588 PETSC_STATIC_INLINE PetscErrorCode MatGetValue(Mat v,PetscInt i,PetscInt j,PetscScalar *va) {return MatGetValues(v,1,&i,1,&j,va);}
589 
590 PETSC_STATIC_INLINE PetscErrorCode MatSetValueLocal(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValuesLocal(v,1,&i,1,&j,&va,mode);}
591 
592 /*MC
593    MatPreallocateInitialize - Begins the block of code that will count the number of nonzeros per
594        row in a matrix providing the data that one can use to correctly preallocate the matrix.
595 
596    Synopsis:
597    #include <petscmat.h>
598    PetscErrorCode MatPreallocateInitialize(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
599 
600    Collective on MPI_Comm
601 
602    Input Parameters:
603 +  comm - the communicator that will share the eventually allocated matrix
604 .  nrows - the number of LOCAL rows in the matrix
605 -  ncols - the number of LOCAL columns in the matrix
606 
607    Output Parameters:
608 +  dnz - the array that will be passed to the matrix preallocation routines
609 -  ozn - the other array passed to the matrix preallocation routines
610 
611    Level: intermediate
612 
613    Notes:
614     See Users-Manual: ch_performance for more details.
615 
616    Do not malloc or free dnz and onz, that is handled internally by these routines
617 
618    Use MatPreallocateInitializeSymmetric() for symmetric matrices (MPISBAIJ matrices)
619 
620    This is a MACRO not a function because it has a leading { that is closed by PetscPreallocateFinalize().
621 
622   Concepts: preallocation^Matrix
623 
624 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
625           MatPreallocateInitializeSymmetric(), MatPreallocateSymmetricSetLocalBlock()
626 M*/
627 #define MatPreallocateInitialize(comm,nrows,ncols,dnz,onz) 0; \
628 { \
629   PetscErrorCode _4_ierr; PetscInt __nrows = (nrows),__ctmp = (ncols),__rstart,__start,__end; \
630   _4_ierr = PetscCalloc2(__nrows,&dnz,__nrows,&onz);CHKERRQ(_4_ierr); \
631   __start = 0; __end = __start;                                         \
632   _4_ierr = MPI_Scan(&__ctmp,&__end,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __start = __end - __ctmp;\
633   _4_ierr = MPI_Scan(&__nrows,&__rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __nrows;
634 
635 /*MC
636    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
637        inserted using a local number of the rows and columns
638 
639    Synopsis:
640    #include <petscmat.h>
641    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
642 
643    Not Collective
644 
645    Input Parameters:
646 +  map - the row mapping from local numbering to global numbering
647 .  nrows - the number of rows indicated
648 .  rows - the indices of the rows
649 .  cmap - the column mapping from local to global numbering
650 .  ncols - the number of columns in the matrix
651 .  cols - the columns indicated
652 .  dnz - the array that will be passed to the matrix preallocation routines
653 -  ozn - the other array passed to the matrix preallocation routines
654 
655    Level: intermediate
656 
657    Notes:
658     See Users-Manual: ch_performance for more details.
659 
660    Do not malloc or free dnz and onz, that is handled internally by these routines
661 
662   Concepts: preallocation^Matrix
663 
664 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
665           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock()
666 M*/
667 #define MatPreallocateSetLocal(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
668 {\
669   PetscInt __l;\
670   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
671   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
672   for (__l=0;__l<nrows;__l++) {\
673     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
674   }\
675 }
676 
677 /*MC
678    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
679        inserted using a local number of the rows and columns
680 
681    Synopsis:
682    #include <petscmat.h>
683    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
684 
685    Not Collective
686 
687    Input Parameters:
688 +  map - the row mapping from local numbering to global numbering
689 .  nrows - the number of rows indicated
690 .  rows - the indices of the rows
691 .  cmap - the column mapping from local to global numbering
692 .  ncols - the number of columns in the matrix
693 .  cols - the columns indicated
694 .  dnz - the array that will be passed to the matrix preallocation routines
695 -  ozn - the other array passed to the matrix preallocation routines
696 
697    Level: intermediate
698 
699    Notes:
700     See Users-Manual: ch_performance for more details.
701 
702    Do not malloc or free dnz and onz, that is handled internally by these routines
703 
704   Concepts: preallocation^Matrix
705 
706 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
707           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock()
708 M*/
709 #define MatPreallocateSetLocalBlock(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
710 {\
711   PetscInt __l;\
712   _4_ierr = ISLocalToGlobalMappingApplyBlock(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
713   _4_ierr = ISLocalToGlobalMappingApplyBlock(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
714   for (__l=0;__l<nrows;__l++) {\
715     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
716   }\
717 }
718 
719 /*MC
720    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
721        inserted using a local number of the rows and columns
722 
723    Synopsis:
724    #include <petscmat.h>
725    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
726 
727    Not Collective
728 
729    Input Parameters:
730 +  map - the mapping between local numbering and global numbering
731 .  nrows - the number of rows indicated
732 .  rows - the indices of the rows
733 .  ncols - the number of columns in the matrix
734 .  cols - the columns indicated
735 .  dnz - the array that will be passed to the matrix preallocation routines
736 -  ozn - the other array passed to the matrix preallocation routines
737 
738    Level: intermediate
739 
740    Notes:
741     See Users-Manual: ch_performance for more details.
742 
743    Do not malloc or free dnz and onz that is handled internally by these routines
744 
745   Concepts: preallocation^Matrix
746 
747 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateInitialize(),
748           MatPreallocateInitialize(),  MatPreallocateSetLocal()
749 M*/
750 #define MatPreallocateSymmetricSetLocalBlock(map,nrows,rows,ncols,cols,dnz,onz) 0;\
751 {\
752   PetscInt __l;\
753   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
754   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
755   for (__l=0;__l<nrows;__l++) {\
756     _4_ierr = MatPreallocateSymmetricSetBlock((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
757   }\
758 }
759 /*MC
760    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
761        inserted using a local number of the rows and columns
762 
763    Synopsis:
764    #include <petscmat.h>
765    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
766 
767    Not Collective
768 
769    Input Parameters:
770 +  row - the row
771 .  ncols - the number of columns in the matrix
772 -  cols - the columns indicated
773 
774    Output Parameters:
775 +  dnz - the array that will be passed to the matrix preallocation routines
776 -  ozn - the other array passed to the matrix preallocation routines
777 
778    Level: intermediate
779 
780    Notes:
781     See Users-Manual: ch_performance for more details.
782 
783    Do not malloc or free dnz and onz that is handled internally by these routines
784 
785    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
786 
787   Concepts: preallocation^Matrix
788 
789 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
790           MatPreallocateInitialize(), MatPreallocateSetLocal()
791 M*/
792 #define MatPreallocateSet(row,nc,cols,dnz,onz) 0;\
793 { PetscInt __i; \
794   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);\
795   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);\
796   for (__i=0; __i<nc; __i++) {\
797     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
798     else dnz[row - __rstart]++;\
799   }\
800 }
801 
802 /*MC
803    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
804        inserted using a local number of the rows and columns
805 
806    Synopsis:
807    #include <petscmat.h>
808    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
809 
810    Not Collective
811 
812    Input Parameters:
813 +  nrows - the number of rows indicated
814 .  rows - the indices of the rows
815 .  ncols - the number of columns in the matrix
816 .  cols - the columns indicated
817 .  dnz - the array that will be passed to the matrix preallocation routines
818 -  ozn - the other array passed to the matrix preallocation routines
819 
820    Level: intermediate
821 
822    Notes:
823     See Users-Manual: ch_performance for more details.
824 
825    Do not malloc or free dnz and onz that is handled internally by these routines
826 
827    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
828 
829   Concepts: preallocation^Matrix
830 
831 .seealso: MatPreallocateFinalize(), MatPreallocateSet(),  MatPreallocateInitialize(),
832           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
833 M*/
834 #define MatPreallocateSymmetricSetBlock(row,nc,cols,dnz,onz) 0;\
835 { PetscInt __i; \
836   for (__i=0; __i<nc; __i++) {\
837     if (cols[__i] >= __end) onz[row - __rstart]++; \
838     else if (cols[__i] >= row) dnz[row - __rstart]++;\
839   }\
840 }
841 
842 /*MC
843    MatPreallocateLocation -  An alternative to MatPreallocationSet() that puts the nonzero locations into the matrix if it exists
844 
845    Synopsis:
846    #include <petscmat.h>
847    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
848 
849    Not Collective
850 
851    Input Parameters:
852 .  A - matrix
853 .  row - row where values exist (must be local to this process)
854 .  ncols - number of columns
855 .  cols - columns with nonzeros
856 .  dnz - the array that will be passed to the matrix preallocation routines
857 -  ozn - the other array passed to the matrix preallocation routines
858 
859    Level: intermediate
860 
861    Notes:
862     See Users-Manual: ch_performance for more details.
863 
864    Do not malloc or free dnz and onz that is handled internally by these routines
865 
866    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
867 
868   Concepts: preallocation^Matrix
869 
870 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
871           MatPreallocateSymmetricSetLocalBlock()
872 M*/
873 #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);}
874 
875 
876 /*MC
877    MatPreallocateFinalize - Ends the block of code that will count the number of nonzeros per
878        row in a matrix providing the data that one can use to correctly preallocate the matrix.
879 
880    Synopsis:
881    #include <petscmat.h>
882    PetscErrorCode MatPreallocateFinalize(PetscInt *dnz, PetscInt *onz)
883 
884    Collective on MPI_Comm
885 
886    Input Parameters:
887 +  dnz - the array that was be passed to the matrix preallocation routines
888 -  ozn - the other array passed to the matrix preallocation routines
889 
890    Level: intermediate
891 
892    Notes:
893     See Users-Manual: ch_performance for more details.
894 
895    Do not malloc or free dnz and onz that is handled internally by these routines
896 
897    This is a MACRO not a function because it closes the { started in MatPreallocateInitialize().
898 
899   Concepts: preallocation^Matrix
900 
901 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
902           MatPreallocateSymmetricSetLocalBlock()
903 M*/
904 #define MatPreallocateFinalize(dnz,onz) 0;_4_ierr = PetscFree2(dnz,onz);CHKERRQ(_4_ierr);}
905 
906 /* Routines unique to particular data structures */
907 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat,void *);
908 
909 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat,IS*,IS*);
910 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat,PetscInt *,PetscInt *[],PetscInt *);
911 
912 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat,PetscInt[]);
913 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat,PetscInt[]);
914 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
915 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
916 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
917 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*,PetscInt,PetscBool);
918 
919 #define MAT_SKIP_ALLOCATION -4
920 
921 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
922 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
923 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat,PetscInt,const PetscInt[]);
924 
925 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
926 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
927 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
928 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat,const PetscInt [],const PetscInt [],const PetscScalar []);
929 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
930 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]);
931 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
932 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat,PetscInt[],PetscInt[],PetscInt[]);
933 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
934 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
935 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
936 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
937 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat,Mat*);
938 
939 PETSC_EXTERN PetscErrorCode MatSeqDenseSetLDA(Mat,PetscInt);
940 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat,Mat*);
941 
942 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
943 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
944 
945 PETSC_EXTERN PetscErrorCode MatDAADSetCtx(Mat,void*);
946 
947 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat,IS*);
948 /*
949   These routines are not usually accessed directly, rather solving is
950   done through the KSP and PC interfaces.
951 */
952 
953 /*J
954     MatOrderingType - String with the name of a PETSc matrix ordering
955 
956    Level: beginner
957 
958 .seealso: MatGetOrdering()
959 J*/
960 typedef const char* MatOrderingType;
961 #define MATORDERINGNATURAL     "natural"
962 #define MATORDERINGND          "nd"
963 #define MATORDERING1WD         "1wd"
964 #define MATORDERINGRCM         "rcm"
965 #define MATORDERINGQMD         "qmd"
966 #define MATORDERINGROWLENGTH   "rowlength"
967 #define MATORDERINGWBM         "wbm"
968 #define MATORDERINGSPECTRAL    "spectral"
969 #define MATORDERINGAMD         "amd"            /* only works if UMFPACK is installed with PETSc */
970 
971 PETSC_EXTERN PetscErrorCode MatGetOrdering(Mat,MatOrderingType,IS*,IS*);
972 PETSC_EXTERN PetscErrorCode MatGetOrderingList(PetscFunctionList*);
973 PETSC_EXTERN PetscErrorCode MatOrderingRegister(const char[],PetscErrorCode(*)(Mat,MatOrderingType,IS*,IS*));
974 PETSC_EXTERN PetscErrorCode MatOrderingRegisterAll(void);
975 PETSC_EXTERN PetscBool         MatOrderingRegisterAllCalled;
976 PETSC_EXTERN PetscFunctionList MatOrderingList;
977 
978 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
979 PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat,PetscReal,PetscBool,Mat*);
980 
981 /*S
982     MatFactorShiftType - Numeric Shift.
983 
984    Level: beginner
985 
986 S*/
987 typedef enum {MAT_SHIFT_NONE,MAT_SHIFT_NONZERO,MAT_SHIFT_POSITIVE_DEFINITE,MAT_SHIFT_INBLOCKS} MatFactorShiftType;
988 PETSC_EXTERN const char *const MatFactorShiftTypes[];
989 PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];
990 
991 /*S
992    MatFactorInfo - Data passed into the matrix factorization routines
993 
994    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE, that is use
995 $     MatFactorInfo  info(MAT_FACTORINFO_SIZE)
996 
997    Notes: These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
998 
999       You can use MatFactorInfoInitialize() to set default values.
1000 
1001    Level: developer
1002 
1003 .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor(),
1004           MatFactorInfoInitialize()
1005 
1006 S*/
1007 typedef struct {
1008   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
1009   PetscReal     usedt;
1010   PetscReal     dt;             /* drop tolerance */
1011   PetscReal     dtcol;          /* tolerance for pivoting */
1012   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
1013   PetscReal     fill;           /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1014   PetscReal     levels;         /* ICC/ILU(levels) */
1015   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1016                                    factorization may be faster if do not pivot */
1017   PetscReal     zeropivot;      /* pivot is called zero if less than this */
1018   PetscReal     shifttype;      /* type of shift added to matrix factor to prevent zero pivots */
1019   PetscReal     shiftamount;     /* how large the shift is */
1020 } MatFactorInfo;
1021 
1022 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo*);
1023 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat,IS,const MatFactorInfo*);
1024 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1025 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat,Mat,const MatFactorInfo*);
1026 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat,IS,IS,const MatFactorInfo*);
1027 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat,IS,IS,const MatFactorInfo*);
1028 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1029 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1030 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1031 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat,IS,const MatFactorInfo*);
1032 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat,Mat,const MatFactorInfo*);
1033 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat,PetscInt*,PetscInt*,PetscInt*);
1034 PETSC_EXTERN PetscErrorCode MatSolve(Mat,Vec,Vec);
1035 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat,Vec,Vec);
1036 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat,Vec,Vec);
1037 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat,Vec,Vec,Vec);
1038 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat,Vec,Vec);
1039 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
1040 PETSC_EXTERN PetscErrorCode MatSolves(Mat,Vecs,Vecs);
1041 
1042 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
1043 
1044 /*E
1045     MatSORType - What type of (S)SOR to perform
1046 
1047     Level: beginner
1048 
1049    May be bitwise ORd together
1050 
1051    Any additions/changes here MUST also be made in include/finclude/petscmat.h
1052 
1053    MatSORType may be bitwise ORd together, so do not change the numbers
1054 
1055 .seealso: MatSOR()
1056 E*/
1057 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
1058               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
1059               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
1060               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
1061 PETSC_EXTERN PetscErrorCode MatSOR(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
1062 
1063 /*
1064     These routines are for efficiently computing Jacobians via finite differences.
1065 */
1066 
1067 /*S
1068      MatColoring - Object for managing the coloring of matrices.
1069 
1070    Level: beginner
1071 
1072   Concepts: matrix, coloring
1073 
1074 .seealso:  MatFDColoringCreate() ISColoring MatFDColoring
1075 S*/
1076 typedef struct _p_MatColoring* MatColoring;
1077 /*J
1078     MatColoringType - String with the name of a PETSc matrix coloring
1079 
1080    Level: beginner
1081 
1082 .seealso: MatColoringSetType(), MatColoring
1083 J*/
1084 
1085 typedef const  char*           MatColoringType;
1086 #define MATCOLORINGJP      "jp"
1087 #define MATCOLORINGPOWER   "power"
1088 #define MATCOLORINGNATURAL "natural"
1089 #define MATCOLORINGSL      "sl"
1090 #define MATCOLORINGLF      "lf"
1091 #define MATCOLORINGID      "id"
1092 #define MATCOLORINGGREEDY  "greedy"
1093 
1094 /*E
1095    MatColoringWeightType - Type of weight scheme
1096 
1097     Not Collective
1098 
1099 +   MAT_COLORING_RANDOM  - Random weights
1100 .   MAT_COLORING_LEXICAL - Lexical weighting based upon global numbering.
1101 -   MAT_COLORING_LF      - Last-first weighting.
1102 
1103     Level: intermediate
1104 
1105    Any additions/changes here MUST also be made in include/finclude/petscmat.h
1106 
1107 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1108 E*/
1109 typedef enum {MAT_COLORING_WEIGHT_RANDOM,MAT_COLORING_WEIGHT_LEXICAL,MAT_COLORING_WEIGHT_LF,MAT_COLORING_WEIGHT_SL} MatColoringWeightType;
1110 
1111 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat,MatColoring*);
1112 PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat,PetscInt,PetscInt*);
1113 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring*);
1114 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring,PetscViewer);
1115 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring,MatColoringType);
1116 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1117 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring,PetscInt);
1118 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring,PetscInt*);
1119 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring,PetscInt);
1120 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring,PetscInt*);
1121 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring,ISColoring*);
1122 PETSC_EXTERN PetscErrorCode MatColoringRegisterAll(void);
1123 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[],PetscErrorCode(*)(MatColoring));
1124 PETSC_EXTERN PetscBool MatColoringRegisterAllCalled;
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 PETSC_EXTERN PetscBool MatPartitioningRegisterAllCalled;
1216 
1217 PETSC_EXTERN PetscErrorCode MatPartitioningRegisterAll(void);
1218 
1219 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning,PetscViewer);
1220 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1221 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
1222 
1223 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1224 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1225 
1226 typedef enum { MP_CHACO_MULTILEVEL=1,MP_CHACO_SPECTRAL=2,MP_CHACO_LINEAR=4,MP_CHACO_RANDOM=5,MP_CHACO_SCATTERED=6 } MPChacoGlobalType;
1227 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1228 typedef enum { MP_CHACO_KERNIGHAN=1,MP_CHACO_NONE=2 } MPChacoLocalType;
1229 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1230 typedef enum { MP_CHACO_LANCZOS=0,MP_CHACO_RQI=1 } MPChacoEigenType;
1231 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1232 
1233 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning,MPChacoGlobalType);
1234 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning,MPChacoGlobalType*);
1235 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning,MPChacoLocalType);
1236 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning,MPChacoLocalType*);
1237 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning,PetscReal);
1238 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning,MPChacoEigenType);
1239 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning,MPChacoEigenType*);
1240 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning,PetscReal);
1241 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning,PetscReal*);
1242 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning,PetscInt);
1243 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning,PetscInt*);
1244 
1245 #define MP_PARTY_OPT "opt"
1246 #define MP_PARTY_LIN "lin"
1247 #define MP_PARTY_SCA "sca"
1248 #define MP_PARTY_RAN "ran"
1249 #define MP_PARTY_GBF "gbf"
1250 #define MP_PARTY_GCF "gcf"
1251 #define MP_PARTY_BUB "bub"
1252 #define MP_PARTY_DEF "def"
1253 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning,const char*);
1254 #define MP_PARTY_HELPFUL_SETS "hs"
1255 #define MP_PARTY_KERNIGHAN_LIN "kl"
1256 #define MP_PARTY_NONE "no"
1257 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning,const char*);
1258 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning,PetscReal);
1259 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning,PetscBool);
1260 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning,PetscBool);
1261 
1262 typedef enum { MP_PTSCOTCH_QUALITY,MP_PTSCOTCH_SPEED,MP_PTSCOTCH_BALANCE,MP_PTSCOTCH_SAFETY,MP_PTSCOTCH_SCALABILITY } MPPTScotchStrategyType;
1263 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1264 
1265 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning,PetscReal);
1266 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning,PetscReal*);
1267 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning,MPPTScotchStrategyType);
1268 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning,MPPTScotchStrategyType*);
1269 
1270 /*
1271     These routines are for coarsening matrices:
1272 */
1273 
1274 /*S
1275      MatCoarsen - Object for managing the coarsening of a graph (symmetric matrix)
1276 
1277    Level: beginner
1278 
1279   Concepts: coarsen
1280 
1281 .seealso:  MatCoarsenCreate), MatCoarsenType
1282 S*/
1283 typedef struct _p_MatCoarsen* MatCoarsen;
1284 
1285 /*J
1286     MatCoarsenType - String with the name of a PETSc matrix coarsen
1287 
1288    Level: beginner
1289 
1290 .seealso: MatCoarsenCreate(), MatCoarsen
1291 J*/
1292 typedef const char* MatCoarsenType;
1293 #define MATCOARSENMIS  "mis"
1294 #define MATCOARSENHEM  "hem"
1295 
1296 /* linked list for aggregates */
1297 typedef struct _PetscCDIntNd{
1298   struct _PetscCDIntNd *next;
1299   PetscInt             gid;
1300 }PetscCDIntNd;
1301 
1302 /* only used by node pool */
1303 typedef struct _PetscCDArrNd{
1304   struct _PetscCDArrNd *next;
1305   struct _PetscCDIntNd *array;
1306 }PetscCDArrNd;
1307 
1308 typedef struct _PetscCoarsenData{
1309   PetscCDArrNd pool_list;  /* node pool */
1310   PetscCDIntNd *new_node;
1311   PetscInt     new_left;
1312   PetscInt     chk_sz;
1313   PetscCDIntNd *extra_nodes;
1314   PetscCDIntNd **array;  /* Array of lists */
1315   PetscInt     size;
1316   Mat          mat;  /* cache a Mat for communication data */
1317 }PetscCoarsenData;
1318 
1319 PETSC_EXTERN PetscErrorCode MatCoarsenCreate(MPI_Comm,MatCoarsen*);
1320 PETSC_EXTERN PetscErrorCode MatCoarsenSetType(MatCoarsen,MatCoarsenType);
1321 PETSC_EXTERN PetscErrorCode MatCoarsenSetAdjacency(MatCoarsen,Mat);
1322 PETSC_EXTERN PetscErrorCode MatCoarsenSetGreedyOrdering(MatCoarsen,const IS);
1323 PETSC_EXTERN PetscErrorCode MatCoarsenSetStrictAggs(MatCoarsen,PetscBool);
1324 PETSC_EXTERN PetscErrorCode MatCoarsenSetVerbose(MatCoarsen,PetscInt);
1325 PETSC_EXTERN PetscErrorCode MatCoarsenGetData( MatCoarsen, PetscCoarsenData ** );
1326 PETSC_EXTERN PetscErrorCode MatCoarsenApply(MatCoarsen);
1327 PETSC_EXTERN PetscErrorCode MatCoarsenDestroy(MatCoarsen*);
1328 
1329 PETSC_EXTERN PetscErrorCode MatCoarsenRegister(const char[],PetscErrorCode (*)(MatCoarsen));
1330 
1331 PETSC_EXTERN PetscBool MatCoarsenRegisterAllCalled;
1332 
1333 PETSC_EXTERN PetscErrorCode MatCoarsenRegisterAll(void);
1334 
1335 PETSC_EXTERN PetscErrorCode MatCoarsenView(MatCoarsen,PetscViewer);
1336 PETSC_EXTERN PetscErrorCode MatCoarsenSetFromOptions(MatCoarsen);
1337 PETSC_EXTERN PetscErrorCode MatCoarsenGetType(MatCoarsen,MatCoarsenType*);
1338 PETSC_STATIC_INLINE PetscErrorCode MatCoarsenViewFromOptions(MatCoarsen A,const char prefix[],const char name[]) {return PetscObjectViewFromOptions((PetscObject)A,prefix,name);}
1339 
1340 PETSC_EXTERN PetscErrorCode MatMeshToVertexGraph(Mat,PetscInt,Mat*);
1341 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat,PetscInt,Mat*);
1342 
1343 /*
1344     If you add entries here you must also add them to finclude/petscmat.h
1345 */
1346 typedef enum { MATOP_SET_VALUES=0,
1347                MATOP_GET_ROW=1,
1348                MATOP_RESTORE_ROW=2,
1349                MATOP_MULT=3,
1350                MATOP_MULT_ADD=4,
1351                MATOP_MULT_TRANSPOSE=5,
1352                MATOP_MULT_TRANSPOSE_ADD=6,
1353                MATOP_SOLVE=7,
1354                MATOP_SOLVE_ADD=8,
1355                MATOP_SOLVE_TRANSPOSE=9,
1356                MATOP_SOLVE_TRANSPOSE_ADD=10,
1357                MATOP_LUFACTOR=11,
1358                MATOP_CHOLESKYFACTOR=12,
1359                MATOP_SOR=13,
1360                MATOP_TRANSPOSE=14,
1361                MATOP_GETINFO=15,
1362                MATOP_EQUAL=16,
1363                MATOP_GET_DIAGONAL=17,
1364                MATOP_DIAGONAL_SCALE=18,
1365                MATOP_NORM=19,
1366                MATOP_ASSEMBLY_BEGIN=20,
1367                MATOP_ASSEMBLY_END=21,
1368                MATOP_SET_OPTION=22,
1369                MATOP_ZERO_ENTRIES=23,
1370                MATOP_ZERO_ROWS=24,
1371                MATOP_LUFACTOR_SYMBOLIC=25,
1372                MATOP_LUFACTOR_NUMERIC=26,
1373                MATOP_CHOLESKY_FACTOR_SYMBOLIC=27,
1374                MATOP_CHOLESKY_FACTOR_NUMERIC=28,
1375                MATOP_SETUP_PREALLOCATION=29,
1376                MATOP_ILUFACTOR_SYMBOLIC=30,
1377                MATOP_ICCFACTOR_SYMBOLIC=31,
1378                /* MATOP_PLACEHOLDER_32=32, */
1379                /* MATOP_PLACEHOLDER_33=33, */
1380                MATOP_DUPLICATE=34,
1381                MATOP_FORWARD_SOLVE=35,
1382                MATOP_BACKWARD_SOLVE=36,
1383                MATOP_ILUFACTOR=37,
1384                MATOP_ICCFACTOR=38,
1385                MATOP_AXPY=39,
1386                MATOP_GET_SUBMATRICES=40,
1387                MATOP_INCREASE_OVERLAP=41,
1388                MATOP_GET_VALUES=42,
1389                MATOP_COPY=43,
1390                MATOP_GET_ROW_MAX=44,
1391                MATOP_SCALE=45,
1392                MATOP_SHIFT=46,
1393                MATOP_DIAGONAL_SET=47,
1394                MATOP_ZERO_ROWS_COLUMNS=48,
1395                MATOP_SET_RANDOM=49,
1396                MATOP_GET_ROW_IJ=50,
1397                MATOP_RESTORE_ROW_IJ=51,
1398                MATOP_GET_COLUMN_IJ=52,
1399                MATOP_RESTORE_COLUMN_IJ=53,
1400                MATOP_FDCOLORING_CREATE=54,
1401                MATOP_COLORING_PATCH=55,
1402                MATOP_SET_UNFACTORED=56,
1403                MATOP_PERMUTE=57,
1404                MATOP_SET_VALUES_BLOCKED=58,
1405                MATOP_GET_SUBMATRIX=59,
1406                MATOP_DESTROY=60,
1407                MATOP_VIEW=61,
1408                MATOP_CONVERT_FROM=62,
1409                MATOP_MATMAT_MULT=63,
1410                MATOP_MATMAT_MULT_SYMBOLIC=64,
1411                MATOP_MATMAT_MULT_NUMERIC=65,
1412                MATOP_SET_LOCAL_TO_GLOBAL_MAP=66,
1413                MATOP_SET_VALUES_LOCAL=67,
1414                MATOP_ZERO_ROWS_LOCAL=68,
1415                MATOP_GET_ROW_MAX_ABS=69,
1416                MATOP_GET_ROW_MIN_ABS=70,
1417                MATOP_CONVERT=71,
1418                MATOP_SET_COLORING=72,
1419                /* MATOP_PLACEHOLDER_73=73, */
1420                MATOP_SET_VALUES_ADIFOR=74,
1421                MATOP_FD_COLORING_APPLY=75,
1422                MATOP_SET_FROM_OPTIONS=76,
1423                MATOP_MULT_CONSTRAINED=77,
1424                MATOP_MULT_TRANSPOSE_CONSTRAIN=78,
1425                MATOP_FIND_ZERO_DIAGONALS=79,
1426                MATOP_MULT_MULTIPLE=80,
1427                MATOP_SOLVE_MULTIPLE=81,
1428                MATOP_GET_INERTIA=82,
1429                MATOP_LOAD=83,
1430                MATOP_IS_SYMMETRIC=84,
1431                MATOP_IS_HERMITIAN=85,
1432                MATOP_IS_STRUCTURALLY_SYMMETRIC=86,
1433                MATOP_SET_VALUES_BLOCKEDLOCAL=87,
1434                MATOP_GET_VECS=88,
1435                MATOP_MAT_MULT=89,
1436                MATOP_MAT_MULT_SYMBOLIC=90,
1437                MATOP_MAT_MULT_NUMERIC=91,
1438                MATOP_PTAP=92,
1439                MATOP_PTAP_SYMBOLIC=93,
1440                MATOP_PTAP_NUMERIC=94,
1441                MATOP_MAT_TRANSPOSE_MULT=95,
1442                MATOP_MAT_TRANSPOSE_MULT_SYMBO=96,
1443                MATOP_MAT_TRANSPOSE_MULT_NUMER=97,
1444                /* MATOP_PLACEHOLDER_98=98, */
1445                /* MATOP_PLACEHOLDER_99=99, */
1446                /* MATOP_PLACEHOLDER_100=100, */
1447                /* MATOP_PLACEHOLDER_101=101, */
1448                MATOP_CONJUGATE=102,
1449                /* MATOP_PLACEHOLDER_103=103, */
1450                MATOP_SET_VALUES_ROW=104,
1451                MATOP_REAL_PART=105,
1452                MATOP_IMAGINARY_PART=106,
1453                MATOP_GET_ROW_UPPER_TRIANGULAR=107,
1454                MATOP_RESTORE_ROW_UPPER_TRIANG=108,
1455                MATOP_MAT_SOLVE=109,
1456                MATOP_GET_REDUNDANT_MATRIX=110,
1457                MATOP_GET_ROW_MIN=111,
1458                MATOP_GET_COLUMN_VECTOR=112,
1459                MATOP_MISSING_DIAGONAL=113,
1460                MATOP_GET_SEQ_NONZERO_STRUCTUR=114,
1461                MATOP_CREATE=115,
1462                MATOP_GET_GHOSTS=116,
1463                MATOP_GET_LOCAL_SUB_MATRIX=117,
1464                MATOP_RESTORE_LOCALSUB_MATRIX=118,
1465                MATOP_MULT_DIAGONAL_BLOCK=119,
1466                MATOP_HERMITIAN_TRANSPOSE=120,
1467                MATOP_MULT_HERMITIAN_TRANSPOSE=121,
1468                MATOP_MULT_HERMITIAN_TRANS_ADD=122,
1469                MATOP_GET_MULTI_PROC_BLOCK=123,
1470                MATOP_FIND_NONZERO_ROWS=124,
1471                MATOP_GET_COLUMN_NORMS=125,
1472                MATOP_INVERT_BLOCK_DIAGONAL=126,
1473                /* MATOP_PLACEHOLDER_127=127, */
1474                MATOP_GET_SUB_MATRICES_PARALLE=128,
1475                MATOP_SET_VALUES_BATCH=129,
1476                MATOP_TRANSPOSE_MAT_MULT=130,
1477                MATOP_TRANSPOSE_MAT_MULT_SYMBO=131,
1478                MATOP_TRANSPOSE_MAT_MULT_NUMER=132,
1479                MATOP_TRANSPOSE_COLORING_CREAT=133,
1480                MATOP_TRANS_COLORING_APPLY_SPT=134,
1481                MATOP_TRANS_COLORING_APPLY_DEN=135,
1482                MATOP_RART=136,
1483                MATOP_RART_SYMBOLIC=137,
1484                MATOP_RART_NUMERIC=138,
1485                MATOP_SET_BLOCK_SIZES=139,
1486                MATOP_AYPX=140,
1487                MATOP_RESIDUAL=141,
1488                MATOP_FDCOLORING_SETUP= 142
1489              } MatOperation;
1490 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat,MatOperation,PetscBool *);
1491 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat,MatOperation,void(*)(void));
1492 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat,MatOperation,void(**)(void));
1493 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat,void*);
1494 
1495 /*
1496    Codes for matrices stored on disk. By default they are
1497    stored in a universal format. By changing the format with
1498    PetscViewerSetFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
1499    be stored in a way natural for the matrix, for example dense matrices
1500    would be stored as dense. Matrices stored this way may only be
1501    read into matrices of the same type.
1502 */
1503 #define MATRIX_BINARY_FORMAT_DENSE -1
1504 
1505 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1506 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat,Mat*);
1507 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat,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 MatGetVecsFFTW(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