xref: /petsc/include/petscmat.h (revision 56d62c8fa5d103cad9d43da83efd305637c266e2)
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 MATMPIAIJ          "mpiaij"
36 #define MATAIJCRL          "aijcrl"
37 #define MATSEQAIJCRL       "seqaijcrl"
38 #define MATMPIAIJCRL       "mpiaijcrl"
39 #define MATAIJCUSP         "aijcusp"
40 #define MATSEQAIJCUSP      "seqaijcusp"
41 #define MATMPIAIJCUSP      "mpiaijcusp"
42 #define MATAIJCUSPARSE     "aijcusparse"
43 #define MATSEQAIJCUSPARSE  "seqaijcusparse"
44 #define MATMPIAIJCUSPARSE  "mpiaijcusparse"
45 #define MATAIJVIENNACL     "aijviennacl"
46 #define MATSEQAIJVIENNACL  "seqaijviennacl"
47 #define MATMPIAIJVIENNACL  "mpiaijviennacl"
48 #define MATAIJPERM         "aijperm"
49 #define MATSEQAIJPERM      "seqaijperm"
50 #define MATMPIAIJPERM      "mpiaijperm"
51 #define MATSHELL           "shell"
52 #define MATDENSE           "dense"
53 #define MATSEQDENSE        "seqdense"
54 #define MATMPIDENSE        "mpidense"
55 #define MATELEMENTAL       "elemental"
56 #define MATBAIJ            "baij"
57 #define MATSEQBAIJ         "seqbaij"
58 #define MATMPIBAIJ         "mpibaij"
59 #define MATMPIADJ          "mpiadj"
60 #define MATSBAIJ           "sbaij"
61 #define MATSEQSBAIJ        "seqsbaij"
62 #define MATMPISBAIJ        "mpisbaij"
63 #define MATDAAD            "daad"
64 #define MATMFFD            "mffd"
65 #define MATNORMAL          "normal"
66 #define MATNORMALHERMITIAN "normalh"
67 #define MATLRC             "lrc"
68 #define MATSCATTER         "scatter"
69 #define MATBLOCKMAT        "blockmat"
70 #define MATCOMPOSITE       "composite"
71 #define MATFFT             "fft"
72 #define MATFFTW            "fftw"
73 #define MATSEQCUFFT        "seqcufft"
74 #define MATTRANSPOSEMAT    "transpose"
75 #define MATSCHURCOMPLEMENT "schurcomplement"
76 #define MATPYTHON          "python"
77 #define MATHYPRE           "hypre"
78 #define MATHYPRESTRUCT     "hyprestruct"
79 #define MATHYPRESSTRUCT    "hypresstruct"
80 #define MATSUBMATRIX       "submatrix"
81 #define MATLOCALREF        "localref"
82 #define MATNEST            "nest"
83 #define MATPREALLOCATOR    "preallocator"
84 #define MATDUMMY           "dummy"
85 
86 /*J
87     MatSolverPackage - String with the name of a PETSc matrix solver type.
88 
89     For example: "petsc" indicates what PETSc provides, "superlu_dist" the parallel SuperLU_DIST package etc
90 
91    Level: beginner
92 
93 .seealso: MatGetFactor(), Mat, MatSetType(), MatType
94 J*/
95 #define MatSolverPackage char*
96 #define MATSOLVERSUPERLU          "superlu"
97 #define MATSOLVERSUPERLU_DIST     "superlu_dist"
98 #define MATSOLVERSTRUMPACK        "strumpack"
99 #define MATSOLVERUMFPACK          "umfpack"
100 #define MATSOLVERCHOLMOD          "cholmod"
101 #define MATSOLVERKLU              "klu"
102 #define MATSOLVERSPARSEELEMENTAL  "sparseelemental"
103 #define MATSOLVERELEMENTAL        "elemental"
104 #define MATSOLVERESSL             "essl"
105 #define MATSOLVERLUSOL            "lusol"
106 #define MATSOLVERMUMPS            "mumps"
107 #define MATSOLVERMKL_PARDISO      "mkl_pardiso"
108 #define MATSOLVERMKL_CPARDISO     "mkl_cpardiso"
109 #define MATSOLVERPASTIX           "pastix"
110 #define MATSOLVERMATLAB           "matlab"
111 #define MATSOLVERPETSC            "petsc"
112 #define MATSOLVERBAS              "bas"
113 #define MATSOLVERCUSPARSE         "cusparse"
114 
115 /*E
116     MatFactorType - indicates what type of factorization is requested
117 
118     Level: beginner
119 
120    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
121 
122 .seealso: MatSolverPackage, MatGetFactor()
123 E*/
124 typedef enum {MAT_FACTOR_NONE, MAT_FACTOR_LU, MAT_FACTOR_CHOLESKY, MAT_FACTOR_ILU, MAT_FACTOR_ICC,MAT_FACTOR_ILUDT} MatFactorType;
125 PETSC_EXTERN const char *const MatFactorTypes[];
126 
127 PETSC_EXTERN PetscErrorCode MatGetFactor(Mat,const MatSolverPackage,MatFactorType,Mat*);
128 PETSC_EXTERN PetscErrorCode MatGetFactorAvailable(Mat,const MatSolverPackage,MatFactorType,PetscBool *);
129 PETSC_EXTERN PetscErrorCode MatFactorGetSolverPackage(Mat,const MatSolverPackage*);
130 PETSC_EXTERN PetscErrorCode MatGetFactorType(Mat,MatFactorType*);
131 PETSC_EXTERN PetscErrorCode MatSolverPackageRegister(const MatSolverPackage,const MatType,MatFactorType,PetscErrorCode(*)(Mat,MatFactorType,Mat*));
132 PETSC_EXTERN PetscErrorCode MatSolverPackageGet(const MatSolverPackage,const MatType,MatFactorType,PetscBool*,PetscBool*,PetscErrorCode (**)(Mat,MatFactorType,Mat*));
133 
134 /* Logging support */
135 #define    MAT_FILE_CLASSID 1211216    /* used to indicate matrices in binary files */
136 PETSC_EXTERN PetscClassId MAT_CLASSID;
137 PETSC_EXTERN PetscClassId MAT_COLORING_CLASSID;
138 PETSC_EXTERN PetscClassId MAT_FDCOLORING_CLASSID;
139 PETSC_EXTERN PetscClassId MAT_TRANSPOSECOLORING_CLASSID;
140 PETSC_EXTERN PetscClassId MAT_PARTITIONING_CLASSID;
141 PETSC_EXTERN PetscClassId MAT_COARSEN_CLASSID;
142 PETSC_EXTERN PetscClassId MAT_NULLSPACE_CLASSID;
143 PETSC_EXTERN PetscClassId MATMFFD_CLASSID;
144 
145 /*E
146     MatReuse - Indicates if matrices obtained from a previous call to MatCreateSubMatrices(), MatCreateSubMatrix(), MatConvert() or several other functions
147      are to be reused to store the new matrix values.
148 
149 $  MAT_INITIAL_MATRIX - create a new matrix
150 $  MAT_REUSE_MATRIX - reuse the matrix created with a previous call that used MAT_INITIAL_MATRIX
151 $  MAT_INPLACE_MATRIX - replace the first input matrix with the new matrix (not applicable to all functions)
152 $  MAT_IGNORE_MATRIX - do not create a new matrix or reuse a give matrix, just ignore that matrix argument (not applicable to all functions)
153 
154     Level: beginner
155 
156    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
157 
158 .seealso: MatCreateSubMatrices(), MatCreateSubMatrix(), MatDestroyMatrices(), MatConvert()
159 E*/
160 typedef enum {MAT_INITIAL_MATRIX,MAT_REUSE_MATRIX,MAT_IGNORE_MATRIX,MAT_INPLACE_MATRIX} MatReuse;
161 
162 /*E
163     MatCreateSubMatrixOption - Indicates if matrices obtained from a call to MatCreateSubMatrices()
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} MatCreateSubMatrixOption;
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,PetscObject obj,const char name[]) {return PetscObjectViewFromOptions((PetscObject)A,obj,name);}
179 PETSC_EXTERN PetscErrorCode MatRegister(const char[],PetscErrorCode(*)(Mat));
180 PETSC_EXTERN PetscErrorCode MatRegisterBaseName(const char[],const char[],const char[]);
181 PETSC_EXTERN PetscErrorCode MatSetOptionsPrefix(Mat,const char[]);
182 PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefix(Mat,const char[]);
183 PETSC_EXTERN PetscErrorCode MatGetOptionsPrefix(Mat,const char*[]);
184 PETSC_EXTERN PetscErrorCode MatSetErrorIfFailure(Mat,PetscBool);
185 
186 PETSC_EXTERN PetscFunctionList MatList;
187 PETSC_EXTERN PetscFunctionList MatColoringList;
188 PETSC_EXTERN PetscFunctionList MatPartitioningList;
189 
190 /*E
191     MatStructure - Indicates if two matrices have the same nonzero structure
192 
193     Level: beginner
194 
195    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
196 
197 .seealso: MatCopy(), MatAXPY()
198 E*/
199 typedef enum {DIFFERENT_NONZERO_PATTERN,SUBSET_NONZERO_PATTERN,SAME_NONZERO_PATTERN} MatStructure;
200 
201 PETSC_EXTERN PetscErrorCode MatCreateSeqDense(MPI_Comm,PetscInt,PetscInt,PetscScalar[],Mat*);
202 PETSC_EXTERN PetscErrorCode MatCreateDense(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar[],Mat*);
203 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
204 PETSC_EXTERN PetscErrorCode MatCreateAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
205 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
206 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSplitArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],PetscInt[],PetscInt[],PetscScalar[],Mat*);
207 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSeqAIJ(MPI_Comm,Mat,Mat,const PetscInt[],Mat*);
208 
209 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
210 PETSC_EXTERN PetscErrorCode MatCreateBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
211 PETSC_EXTERN PetscErrorCode MatCreateMPIBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat*);
212 
213 PETSC_EXTERN PetscErrorCode MatCreateMPIAdj(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscInt[],Mat*);
214 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
215 
216 PETSC_EXTERN PetscErrorCode MatCreateSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
217 PETSC_EXTERN PetscErrorCode MatCreateMPISBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
218 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
219 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
220 PETSC_EXTERN PetscErrorCode MatXAIJSetPreallocation(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscInt[],const PetscInt[]);
221 
222 PETSC_EXTERN PetscErrorCode MatCreateShell(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,void *,Mat*);
223 PETSC_EXTERN PetscErrorCode MatCreateNormal(Mat,Mat*);
224 PETSC_EXTERN PetscErrorCode MatCreateNormalHermitian(Mat,Mat*);
225 PETSC_EXTERN PetscErrorCode MatCreateLRC(Mat,Mat,Vec,Mat,Mat*);
226 PETSC_EXTERN PetscErrorCode MatLRCGetMats(Mat,Mat*,Mat*,Vec*,Mat*);
227 PETSC_EXTERN PetscErrorCode MatCreateIS(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,ISLocalToGlobalMapping,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 MatCreateScatter(MPI_Comm,VecScatter,Mat*);
232 PETSC_EXTERN PetscErrorCode MatScatterSetVecScatter(Mat,VecScatter);
233 PETSC_EXTERN PetscErrorCode MatScatterGetVecScatter(Mat,VecScatter*);
234 PETSC_EXTERN PetscErrorCode MatCreateBlockMat(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt*,Mat*);
235 PETSC_EXTERN PetscErrorCode MatCompositeAddMat(Mat,Mat);
236 PETSC_EXTERN PetscErrorCode MatCompositeMerge(Mat);
237 PETSC_EXTERN PetscErrorCode MatCreateComposite(MPI_Comm,PetscInt,const Mat*,Mat*);
238 typedef enum {MAT_COMPOSITE_ADDITIVE,MAT_COMPOSITE_MULTIPLICATIVE} MatCompositeType;
239 PETSC_EXTERN PetscErrorCode MatCompositeSetType(Mat,MatCompositeType);
240 
241 PETSC_EXTERN PetscErrorCode MatCreateFFT(MPI_Comm,PetscInt,const PetscInt[],MatType,Mat*);
242 PETSC_EXTERN PetscErrorCode MatCreateSeqCUFFT(MPI_Comm,PetscInt,const PetscInt[],Mat*);
243 
244 PETSC_EXTERN PetscErrorCode MatCreateTranspose(Mat,Mat*);
245 PETSC_EXTERN PetscErrorCode MatTransposeGetMat(Mat,Mat*);
246 PETSC_EXTERN PetscErrorCode MatCreateHermitianTranspose(Mat,Mat*);
247 PETSC_EXTERN PetscErrorCode MatCreateSubMatrixVirtual(Mat,IS,IS,Mat*);
248 PETSC_EXTERN PetscErrorCode MatSubMatrixVirtualUpdate(Mat,Mat,IS,IS);
249 PETSC_EXTERN PetscErrorCode MatCreateLocalRef(Mat,IS,IS,Mat*);
250 
251 #if defined(PETSC_HAVE_HYPRE)
252 PETSC_EXTERN PetscErrorCode MatHYPRESetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
253 #endif
254 
255 PETSC_EXTERN PetscErrorCode MatPythonSetType(Mat,const char[]);
256 
257 PETSC_EXTERN PetscErrorCode MatSetUp(Mat);
258 PETSC_EXTERN PetscErrorCode MatDestroy(Mat*);
259 PETSC_EXTERN PetscErrorCode MatGetNonzeroState(Mat,PetscObjectState*);
260 
261 PETSC_EXTERN PetscErrorCode MatConjugate(Mat);
262 PETSC_EXTERN PetscErrorCode MatRealPart(Mat);
263 PETSC_EXTERN PetscErrorCode MatImaginaryPart(Mat);
264 PETSC_EXTERN PetscErrorCode MatGetDiagonalBlock(Mat,Mat*);
265 PETSC_EXTERN PetscErrorCode MatGetTrace(Mat,PetscScalar*);
266 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonal(Mat,const PetscScalar **);
267 
268 /* ------------------------------------------------------------*/
269 PETSC_EXTERN PetscErrorCode MatSetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
270 PETSC_EXTERN PetscErrorCode MatSetValuesBlocked(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
271 PETSC_EXTERN PetscErrorCode MatSetValuesRow(Mat,PetscInt,const PetscScalar[]);
272 PETSC_EXTERN PetscErrorCode MatSetValuesRowLocal(Mat,PetscInt,const PetscScalar[]);
273 PETSC_EXTERN PetscErrorCode MatSetValuesBatch(Mat,PetscInt,PetscInt,PetscInt[],const PetscScalar[]);
274 PETSC_EXTERN PetscErrorCode MatSetRandom(Mat,PetscRandom);
275 
276 /*S
277      MatStencil - Data structure (C struct) for storing information about a single row or
278         column of a matrix as indexed on an associated grid. These are arguments to MatSetStencil() and MatSetBlockStencil()
279 
280    The i,j, and k represent the logical coordinates over the entire grid (for 2 and 1 dimensional problems the k and j entries are ignored).
281    The c represents the the degrees of freedom at each grid point (the dof argument to DMDASetDOF()). If dof is 1 then this entry is ignored.
282 
283    For stencil access to vectors see DMDAVecGetArray(), DMDAVecGetArrayF90().
284 
285    Fortran usage is different, see MatSetValuesStencil() for details.
286 
287    Level: beginner
288 
289   Concepts: matrix; linear operator
290 
291 .seealso:  MatSetValuesStencil(), MatSetStencil(), MatSetValuesBlockedStencil(), DMDAVecGetArray(), DMDAVecGetArrayF90()
292 S*/
293 typedef struct {
294   PetscInt k,j,i,c;
295 } MatStencil;
296 
297 PETSC_EXTERN PetscErrorCode MatSetValuesStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
298 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
299 PETSC_EXTERN PetscErrorCode MatSetStencil(Mat,PetscInt,const PetscInt[],const PetscInt[],PetscInt);
300 
301 /*E
302     MatAssemblyType - Indicates if the matrix is now to be used, or if you plan
303      to continue to add or insert values to it
304 
305     Level: beginner
306 
307 .seealso: MatAssemblyBegin(), MatAssemblyEnd()
308 E*/
309 typedef enum {MAT_FLUSH_ASSEMBLY=1,MAT_FINAL_ASSEMBLY=0} MatAssemblyType;
310 PETSC_EXTERN PetscErrorCode MatAssemblyBegin(Mat,MatAssemblyType);
311 PETSC_EXTERN PetscErrorCode MatAssemblyEnd(Mat,MatAssemblyType);
312 PETSC_EXTERN PetscErrorCode MatAssembled(Mat,PetscBool *);
313 
314 
315 
316 /*E
317     MatOption - Options that may be set for a matrix and its behavior or storage
318 
319     Level: beginner
320 
321    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
322 
323    Developer Notes: Entries that are negative need not be called collectively by all processes.
324 
325 .seealso: MatSetOption()
326 E*/
327 typedef enum {MAT_OPTION_MIN = -3,
328               MAT_UNUSED_NONZERO_LOCATION_ERR = -2,
329               MAT_ROW_ORIENTED = -1,
330               MAT_SYMMETRIC = 1,
331               MAT_STRUCTURALLY_SYMMETRIC = 2,
332               MAT_NEW_DIAGONALS = 3,
333               MAT_IGNORE_OFF_PROC_ENTRIES = 4,
334               MAT_USE_HASH_TABLE = 5,
335               MAT_KEEP_NONZERO_PATTERN = 6,
336               MAT_IGNORE_ZERO_ENTRIES = 7,
337               MAT_USE_INODES = 8,
338               MAT_HERMITIAN = 9,
339               MAT_SYMMETRY_ETERNAL = 10,
340               MAT_NEW_NONZERO_LOCATION_ERR = 11,
341               MAT_IGNORE_LOWER_TRIANGULAR = 12,
342               MAT_ERROR_LOWER_TRIANGULAR = 13,
343               MAT_GETROW_UPPERTRIANGULAR = 14,
344               MAT_SPD = 15,
345               MAT_NO_OFF_PROC_ZERO_ROWS = 16,
346               MAT_NO_OFF_PROC_ENTRIES = 17,
347               MAT_NEW_NONZERO_LOCATIONS = 18,
348               MAT_NEW_NONZERO_ALLOCATION_ERR = 19,
349               MAT_SUBSET_OFF_PROC_ENTRIES = 20,
350               MAT_SUBMAT_SINGLEIS = 21,
351               MAT_STRUCTURE_ONLY = 22,
352               MAT_OPTION_MAX = 23} MatOption;
353 
354 PETSC_EXTERN const char *MatOptions[];
355 PETSC_EXTERN PetscErrorCode MatSetOption(Mat,MatOption,PetscBool);
356 PETSC_EXTERN PetscErrorCode MatGetOption(Mat,MatOption,PetscBool*);
357 PETSC_EXTERN PetscErrorCode MatGetType(Mat,MatType*);
358 
359 PETSC_EXTERN PetscErrorCode MatGetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar[]);
360 PETSC_EXTERN PetscErrorCode MatGetRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
361 PETSC_EXTERN PetscErrorCode MatRestoreRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
362 PETSC_EXTERN PetscErrorCode MatGetRowUpperTriangular(Mat);
363 PETSC_EXTERN PetscErrorCode MatRestoreRowUpperTriangular(Mat);
364 PETSC_EXTERN PetscErrorCode MatGetColumnVector(Mat,Vec,PetscInt);
365 PETSC_EXTERN PetscErrorCode MatSeqAIJGetArray(Mat,PetscScalar *[]);
366 PETSC_EXTERN PetscErrorCode MatSeqAIJRestoreArray(Mat,PetscScalar *[]);
367 PETSC_EXTERN PetscErrorCode MatSeqAIJGetMaxRowNonzeros(Mat,PetscInt*);
368 PETSC_EXTERN PetscErrorCode MatSeqAIJSetValuesLocalFast(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
369 PETSC_EXTERN PetscErrorCode MatSeqSBAIJGetArray(Mat,PetscScalar *[]);
370 PETSC_EXTERN PetscErrorCode MatSeqSBAIJRestoreArray(Mat,PetscScalar *[]);
371 PETSC_EXTERN PetscErrorCode MatDenseGetArray(Mat,PetscScalar *[]);
372 PETSC_EXTERN PetscErrorCode MatDenseRestoreArray(Mat,PetscScalar *[]);
373 PETSC_EXTERN PetscErrorCode MatGetBlockSize(Mat,PetscInt *);
374 PETSC_EXTERN PetscErrorCode MatSetBlockSize(Mat,PetscInt);
375 PETSC_EXTERN PetscErrorCode MatGetBlockSizes(Mat,PetscInt *,PetscInt *);
376 PETSC_EXTERN PetscErrorCode MatSetBlockSizes(Mat,PetscInt,PetscInt);
377 PETSC_EXTERN PetscErrorCode MatSetBlockSizesFromMats(Mat,Mat,Mat);
378 
379 PETSC_EXTERN PetscErrorCode MatMult(Mat,Vec,Vec);
380 PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat,Vec,Vec);
381 PETSC_EXTERN PetscErrorCode MatMultAdd(Mat,Vec,Vec,Vec);
382 PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat,Vec,Vec);
383 PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat,Vec,Vec);
384 PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat,Mat,PetscReal,PetscBool *);
385 PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat,Mat,PetscReal,PetscBool *);
386 PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat,Vec,Vec,Vec);
387 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat,Vec,Vec,Vec);
388 PETSC_EXTERN PetscErrorCode MatMultConstrained(Mat,Vec,Vec);
389 PETSC_EXTERN PetscErrorCode MatMultTransposeConstrained(Mat,Vec,Vec);
390 PETSC_EXTERN PetscErrorCode MatMatSolve(Mat,Mat,Mat);
391 PETSC_EXTERN PetscErrorCode MatResidual(Mat,Vec,Vec,Vec);
392 
393 /*E
394     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
395   its numerical values copied over or just its nonzero structure.
396 
397     Level: beginner
398 
399    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
400 
401 $   MAT_SHARE_NONZERO_PATTERN - the i and j arrays in the new matrix will be shared with the original matrix
402 $                               this also triggers the MAT_DO_NOT_COPY_VALUES option. This is used when you
403 $                               have several matrices with the same nonzero pattern.
404 
405 .seealso: MatDuplicate()
406 E*/
407 typedef enum {MAT_DO_NOT_COPY_VALUES,MAT_COPY_VALUES,MAT_SHARE_NONZERO_PATTERN} MatDuplicateOption;
408 
409 PETSC_EXTERN PetscErrorCode MatConvert(Mat,MatType,MatReuse,Mat*);
410 PETSC_EXTERN PetscErrorCode MatDuplicate(Mat,MatDuplicateOption,Mat*);
411 
412 
413 PETSC_EXTERN PetscErrorCode MatCopy(Mat,Mat,MatStructure);
414 PETSC_EXTERN PetscErrorCode MatView(Mat,PetscViewer);
415 PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat,PetscReal,PetscBool *);
416 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat,PetscBool *);
417 PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat,PetscReal,PetscBool *);
418 PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat,PetscBool *,PetscBool *);
419 PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat,PetscBool *,PetscBool *);
420 PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat,PetscBool  *,PetscInt *);
421 PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);
422 
423 PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
424 PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
425 PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
426 PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
427 
428 /*S
429      MatInfo - Context of matrix information, used with MatGetInfo()
430 
431    In Fortran this is simply a double precision array of dimension MAT_INFO_SIZE
432 
433    Level: intermediate
434 
435   Concepts: matrix^nonzero information
436 
437 .seealso:  MatGetInfo(), MatInfoType
438 S*/
439 typedef struct {
440   PetscLogDouble block_size;                         /* block size */
441   PetscLogDouble nz_allocated,nz_used,nz_unneeded;   /* number of nonzeros */
442   PetscLogDouble memory;                             /* memory allocated */
443   PetscLogDouble assemblies;                         /* number of matrix assemblies called */
444   PetscLogDouble mallocs;                            /* number of mallocs during MatSetValues() */
445   PetscLogDouble fill_ratio_given,fill_ratio_needed; /* fill ratio for LU/ILU */
446   PetscLogDouble factor_mallocs;                     /* number of mallocs during factorization */
447 } MatInfo;
448 
449 /*E
450     MatInfoType - Indicates if you want information about the local part of the matrix,
451      the entire parallel matrix or the maximum over all the local parts.
452 
453     Level: beginner
454 
455    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
456 
457 .seealso: MatGetInfo(), MatInfo
458 E*/
459 typedef enum {MAT_LOCAL=1,MAT_GLOBAL_MAX=2,MAT_GLOBAL_SUM=3} MatInfoType;
460 PETSC_EXTERN PetscErrorCode MatGetInfo(Mat,MatInfoType,MatInfo*);
461 PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat,Vec);
462 PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat,Vec,PetscInt[]);
463 PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat,Vec,PetscInt[]);
464 PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat,Vec,PetscInt[]);
465 PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat,Vec,PetscInt[]);
466 PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat,Vec);
467 PETSC_EXTERN PetscErrorCode MatTranspose(Mat,MatReuse,Mat*);
468 PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat,MatReuse,Mat*);
469 PETSC_EXTERN PetscErrorCode MatPermute(Mat,IS,IS,Mat*);
470 PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat,Vec,Vec);
471 PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat,Vec,InsertMode);
472 
473 PETSC_EXTERN PetscErrorCode MatEqual(Mat,Mat,PetscBool*);
474 PETSC_EXTERN PetscErrorCode MatMultEqual(Mat,Mat,PetscInt,PetscBool*);
475 PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat,Mat,PetscInt,PetscBool*);
476 PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat,Mat,PetscInt,PetscBool*);
477 PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat,Mat,PetscInt,PetscBool*);
478 PETSC_EXTERN PetscErrorCode MatMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
479 PETSC_EXTERN PetscErrorCode MatTransposeMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
480 
481 PETSC_EXTERN PetscErrorCode MatNorm(Mat,NormType,PetscReal*);
482 PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat,NormType,PetscReal*);
483 PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
484 PETSC_EXTERN PetscErrorCode MatZeroRows(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
485 PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat,IS,PetscScalar,Vec,Vec);
486 PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat,PetscInt,const MatStencil [],PetscScalar,Vec,Vec);
487 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat,PetscInt,const MatStencil[],PetscScalar,Vec,Vec);
488 PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
489 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat,IS,PetscScalar,Vec,Vec);
490 
491 PETSC_EXTERN PetscErrorCode MatGetSize(Mat,PetscInt*,PetscInt*);
492 PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat,PetscInt*,PetscInt*);
493 PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat,PetscInt*,PetscInt*);
494 PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat,const PetscInt**);
495 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat,PetscInt*,PetscInt*);
496 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat,const PetscInt**);
497 PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat,IS*,IS*);
498 
499 PETSC_EXTERN PetscErrorCode MatCreateSubMatrices(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
500 PETSC_DEPRECATED("Use MatCreateSubMatrices()") PETSC_STATIC_INLINE PetscErrorCode MatGetSubMatrices(Mat mat,PetscInt n,const IS irow[],const IS icol[],MatReuse scall,Mat *submat[]) {return MatCreateSubMatrices(mat,n,irow,icol,scall,submat);}
501 PETSC_EXTERN PetscErrorCode MatCreateSubMatricesMPI(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
502 PETSC_DEPRECATED("Use MatCreateSubMatricesMPI()") PETSC_STATIC_INLINE PetscErrorCode MatGetSubMatricesMPI(Mat mat,PetscInt n,const IS irow[],const IS icol[],MatReuse scall,Mat *submat[]) {return MatCreateSubMatricesMPI(mat,n,irow,icol,scall,submat);}
503 PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt,Mat *[]);
504 PETSC_EXTERN PetscErrorCode MatDestroySubMatrices(PetscInt,Mat *[]);
505 PETSC_EXTERN PetscErrorCode MatCreateSubMatrix(Mat,IS,IS,MatReuse,Mat *);
506 PETSC_DEPRECATED("Use MatCreateSubMatrix()") PETSC_STATIC_INLINE PetscErrorCode MatGetSubMatrix(Mat mat,IS isrow,IS iscol,MatReuse cll,Mat *newmat) {return MatCreateSubMatrix(mat,isrow,iscol,cll,newmat);}
507 PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat,IS,IS,Mat*);
508 PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat,IS,IS,Mat*);
509 PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat,Mat*);
510 PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat*);
511 
512 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm,Mat,PetscInt,PetscInt,MatReuse,Mat*);
513 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm,Mat,PetscInt,PetscInt,Mat*);
514 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat,Mat);
515 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat,MatReuse,Mat*);
516 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat,MatReuse,IS*,IS*,Mat*);
517 PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat,Mat,MatReuse,IS*,IS*,Mat*);
518 PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *,const PetscInt *[]);
519 
520 PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat,PetscInt,IS[],PetscInt);
521 PETSC_EXTERN PetscErrorCode MatIncreaseOverlapSplit(Mat mat,PetscInt n,IS is[],PetscInt ov);
522 PETSC_EXTERN PetscErrorCode MatMPIAIJSetUseScalableIncreaseOverlap(Mat,PetscBool);
523 
524 PETSC_EXTERN PetscErrorCode MatMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
525 PETSC_EXTERN PetscErrorCode MatMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
526 PETSC_EXTERN PetscErrorCode MatMatMultNumeric(Mat,Mat,Mat);
527 
528 PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
529 PETSC_EXTERN PetscErrorCode MatGalerkin(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
530 
531 PETSC_EXTERN PetscErrorCode MatPtAP(Mat,Mat,MatReuse,PetscReal,Mat*);
532 PETSC_EXTERN PetscErrorCode MatPtAPSymbolic(Mat,Mat,PetscReal,Mat*);
533 PETSC_EXTERN PetscErrorCode MatPtAPNumeric(Mat,Mat,Mat);
534 PETSC_EXTERN PetscErrorCode MatRARt(Mat,Mat,MatReuse,PetscReal,Mat*);
535 PETSC_EXTERN PetscErrorCode MatRARtSymbolic(Mat,Mat,PetscReal,Mat*);
536 PETSC_EXTERN PetscErrorCode MatRARtNumeric(Mat,Mat,Mat);
537 
538 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
539 PETSC_EXTERN PetscErrorCode MatTransposetMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
540 PETSC_EXTERN PetscErrorCode MatTransposetMatMultNumeric(Mat,Mat,Mat);
541 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat,Mat,MatReuse,PetscReal,Mat*);
542 PETSC_EXTERN PetscErrorCode MatMatTransposeMultSymbolic(Mat,Mat,PetscReal,Mat*);
543 PETSC_EXTERN PetscErrorCode MatMatTransposeMultNumeric(Mat,Mat,Mat);
544 
545 PETSC_EXTERN PetscErrorCode MatAXPY(Mat,PetscScalar,Mat,MatStructure);
546 PETSC_EXTERN PetscErrorCode MatAYPX(Mat,PetscScalar,Mat,MatStructure);
547 
548 PETSC_EXTERN PetscErrorCode MatScale(Mat,PetscScalar);
549 PETSC_EXTERN PetscErrorCode MatShift(Mat,PetscScalar);
550 
551 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
552 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
553 PETSC_EXTERN PetscErrorCode MatGetLayouts(Mat,PetscLayout*,PetscLayout*);
554 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
555 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
556 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
557 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
558 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
559 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
560 
561 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat,PetscInt,PetscInt);
562 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat,PetscInt*,PetscInt*,PetscInt*,PetscInt*);
563 
564 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat,Vec,Vec);
565 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat,Vec,Vec,Vec);
566 PETSC_EXTERN PetscErrorCode MatRestrict(Mat,Vec,Vec);
567 PETSC_EXTERN PetscErrorCode MatCreateVecs(Mat,Vec*,Vec*);
568 PETSC_DEPRECATED("Use MatCreateVecs()") PETSC_STATIC_INLINE PetscErrorCode MatGetVecs(Mat mat,Vec *x,Vec *y) {return MatCreateVecs(mat,x,y);}
569 PETSC_EXTERN PetscErrorCode MatCreateRedundantMatrix(Mat,PetscInt,MPI_Comm,MatReuse,Mat*);
570 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat,MPI_Comm,MatReuse,Mat*);
571 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat,IS*);
572 PETSC_EXTERN PetscErrorCode MatFindOffBlockDiagonalEntries(Mat,IS*);
573 PETSC_EXTERN PetscErrorCode MatCreateMPIMatConcatenateSeqMat(MPI_Comm,Mat,PetscInt,MatReuse,Mat*);
574 
575 /*MC
576    MatSetValue - Set a single entry into a matrix.
577 
578    Not collective
579 
580    Synopsis:
581      #include <petscmat.h>
582      PetscErrorCode MatSetValue(Mat m,PetscInt row,PetscInt col,PetscScalar value,InsertMode mode)
583 
584    Input Parameters:
585 +  m - the matrix
586 .  row - the row location of the entry
587 .  col - the column location of the entry
588 .  value - the value to insert
589 -  mode - either INSERT_VALUES or ADD_VALUES
590 
591    Notes:
592    For efficiency one should use MatSetValues() and set several or many
593    values simultaneously if possible.
594 
595    Level: beginner
596 
597 .seealso: MatSetValues(), MatSetValueLocal()
598 M*/
599 PETSC_STATIC_INLINE PetscErrorCode MatSetValue(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValues(v,1,&i,1,&j,&va,mode);}
600 
601 PETSC_STATIC_INLINE PetscErrorCode MatGetValue(Mat v,PetscInt i,PetscInt j,PetscScalar *va) {return MatGetValues(v,1,&i,1,&j,va);}
602 
603 PETSC_STATIC_INLINE PetscErrorCode MatSetValueLocal(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValuesLocal(v,1,&i,1,&j,&va,mode);}
604 
605 /*MC
606    MatPreallocateInitialize - Begins the block of code that will count the number of nonzeros per
607        row in a matrix providing the data that one can use to correctly preallocate the matrix.
608 
609    Synopsis:
610    #include <petscmat.h>
611    PetscErrorCode MatPreallocateInitialize(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
612 
613    Collective on MPI_Comm
614 
615    Input Parameters:
616 +  comm - the communicator that will share the eventually allocated matrix
617 .  nrows - the number of LOCAL rows in the matrix
618 -  ncols - the number of LOCAL columns in the matrix
619 
620    Output Parameters:
621 +  dnz - the array that will be passed to the matrix preallocation routines
622 -  ozn - the other array passed to the matrix preallocation routines
623 
624    Level: intermediate
625 
626    Notes:
627     See Users-Manual: ch_performance for more details.
628 
629    Do not malloc or free dnz and onz, that is handled internally by these routines
630 
631    Use MatPreallocateInitializeSymmetric() for symmetric matrices (MPISBAIJ matrices)
632 
633    This is a MACRO not a function because it has a leading { that is closed by PetscPreallocateFinalize().
634 
635   Concepts: preallocation^Matrix
636 
637 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
638           MatPreallocateInitializeSymmetric(), MatPreallocateSymmetricSetLocalBlock()
639 M*/
640 #define MatPreallocateInitialize(comm,nrows,ncols,dnz,onz) 0; \
641 { \
642   PetscErrorCode _4_ierr; PetscInt __nrows = (nrows),__ctmp = (ncols),__rstart,__start,__end; \
643   _4_ierr = PetscCalloc2(__nrows,&dnz,__nrows,&onz);CHKERRQ(_4_ierr); \
644   __start = 0; __end = __start;                                         \
645   _4_ierr = MPI_Scan(&__ctmp,&__end,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __start = __end - __ctmp;\
646   _4_ierr = MPI_Scan(&__nrows,&__rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __nrows;
647 
648 /*MC
649    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
650        inserted using a local number of the rows and columns
651 
652    Synopsis:
653    #include <petscmat.h>
654    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
655 
656    Not Collective
657 
658    Input Parameters:
659 +  map - the row mapping from local numbering to global numbering
660 .  nrows - the number of rows indicated
661 .  rows - the indices of the rows
662 .  cmap - the column mapping from local to global numbering
663 .  ncols - the number of columns in the matrix
664 .  cols - the columns indicated
665 .  dnz - the array that will be passed to the matrix preallocation routines
666 -  ozn - the other array passed to the matrix preallocation routines
667 
668    Level: intermediate
669 
670    Notes:
671     See Users-Manual: ch_performance for more details.
672 
673    Do not malloc or free dnz and onz, that is handled internally by these routines
674 
675   Concepts: preallocation^Matrix
676 
677 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
678           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocalRemoveDups()
679 M*/
680 #define MatPreallocateSetLocal(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
681 {\
682   PetscInt __l;\
683   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
684   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
685   for (__l=0;__l<nrows;__l++) {\
686     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
687   }\
688 }
689 
690 /*MC
691    MatPreallocateSetLocalRemoveDups - Indicates the locations (rows and columns) in the matrix where nonzeros will be
692        inserted using a local number of the rows and columns. This version removes any duplicate columns in cols
693 
694    Synopsis:
695    #include <petscmat.h>
696    PetscErrorCode MatPreallocateSetLocalRemoveDups(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
697 
698    Not Collective
699 
700    Input Parameters:
701 +  map - the row mapping from local numbering to global numbering
702 .  nrows - the number of rows indicated
703 .  rows - the indices of the rows (these values are mapped to the global values)
704 .  cmap - the column mapping from local to global numbering
705 .  ncols - the number of columns in the matrix   (this value will be changed if duplicate columns are found)
706 .  cols - the columns indicated (these values are mapped to the global values, they are then sorted and duplicates removed)
707 .  dnz - the array that will be passed to the matrix preallocation routines
708 -  ozn - the other array passed to the matrix preallocation routines
709 
710    Level: intermediate
711 
712    Notes:
713     See Users-Manual: ch_performance for more details.
714 
715    Do not malloc or free dnz and onz, that is handled internally by these routines
716 
717   Concepts: preallocation^Matrix
718 
719 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
720           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
721 M*/
722 #define MatPreallocateSetLocalRemoveDups(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
723 {\
724   PetscInt __l;\
725   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
726   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
727   _4_ierr = PetscSortRemoveDupsInt(&ncols,cols);CHKERRQ(_4_ierr);\
728   for (__l=0;__l<nrows;__l++) {\
729     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
730   }\
731 }
732 
733 /*MC
734    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
735        inserted using a local number of the rows and columns
736 
737    Synopsis:
738    #include <petscmat.h>
739    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
740 
741    Not Collective
742 
743    Input Parameters:
744 +  map - the row mapping from local numbering to global numbering
745 .  nrows - the number of rows indicated
746 .  rows - the indices of the rows
747 .  cmap - the column mapping from local to global numbering
748 .  ncols - the number of columns in the matrix
749 .  cols - the columns indicated
750 .  dnz - the array that will be passed to the matrix preallocation routines
751 -  ozn - the other array passed to the matrix preallocation routines
752 
753    Level: intermediate
754 
755    Notes:
756     See Users-Manual: ch_performance for more details.
757 
758    Do not malloc or free dnz and onz, that is handled internally by these routines
759 
760   Concepts: preallocation^Matrix
761 
762 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
763           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock()
764 M*/
765 #define MatPreallocateSetLocalBlock(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
766 {\
767   PetscInt __l;\
768   _4_ierr = ISLocalToGlobalMappingApplyBlock(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
769   _4_ierr = ISLocalToGlobalMappingApplyBlock(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
770   for (__l=0;__l<nrows;__l++) {\
771     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
772   }\
773 }
774 
775 /*MC
776    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
777        inserted using a local number of the rows and columns
778 
779    Synopsis:
780    #include <petscmat.h>
781    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
782 
783    Not Collective
784 
785    Input Parameters:
786 +  map - the mapping between local numbering and global numbering
787 .  nrows - the number of rows indicated
788 .  rows - the indices of the rows
789 .  ncols - the number of columns in the matrix
790 .  cols - the columns indicated
791 .  dnz - the array that will be passed to the matrix preallocation routines
792 -  ozn - the other array passed to the matrix preallocation routines
793 
794    Level: intermediate
795 
796    Notes:
797     See Users-Manual: ch_performance for more details.
798 
799    Do not malloc or free dnz and onz that is handled internally by these routines
800 
801   Concepts: preallocation^Matrix
802 
803 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateInitialize(),
804           MatPreallocateInitialize(),  MatPreallocateSetLocal()
805 M*/
806 #define MatPreallocateSymmetricSetLocalBlock(map,nrows,rows,ncols,cols,dnz,onz) 0;\
807 {\
808   PetscInt __l;\
809   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
810   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
811   for (__l=0;__l<nrows;__l++) {\
812     _4_ierr = MatPreallocateSymmetricSetBlock((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
813   }\
814 }
815 /*MC
816    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
817        inserted using a local number of the rows and columns
818 
819    Synopsis:
820    #include <petscmat.h>
821    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
822 
823    Not Collective
824 
825    Input Parameters:
826 +  row - the row
827 .  ncols - the number of columns in the matrix
828 -  cols - the columns indicated
829 
830    Output Parameters:
831 +  dnz - the array that will be passed to the matrix preallocation routines
832 -  ozn - the other array passed to the matrix preallocation routines
833 
834    Level: intermediate
835 
836    Notes:
837     See Users-Manual: ch_performance for more details.
838 
839    Do not malloc or free dnz and onz that is handled internally by these routines
840 
841    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
842 
843   Concepts: preallocation^Matrix
844 
845 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
846           MatPreallocateInitialize(), MatPreallocateSetLocal()
847 M*/
848 #define MatPreallocateSet(row,nc,cols,dnz,onz) 0;\
849 { PetscInt __i; \
850   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);\
851   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);\
852   for (__i=0; __i<nc; __i++) {\
853     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
854     else dnz[row - __rstart]++;\
855   }\
856 }
857 
858 /*MC
859    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
860        inserted using a local number of the rows and columns
861 
862    Synopsis:
863    #include <petscmat.h>
864    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
865 
866    Not Collective
867 
868    Input Parameters:
869 +  nrows - the number of rows indicated
870 .  rows - the indices of the rows
871 .  ncols - the number of columns in the matrix
872 .  cols - the columns indicated
873 .  dnz - the array that will be passed to the matrix preallocation routines
874 -  ozn - the other array passed to the matrix preallocation routines
875 
876    Level: intermediate
877 
878    Notes:
879     See Users-Manual: ch_performance for more details.
880 
881    Do not malloc or free dnz and onz that is handled internally by these routines
882 
883    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
884 
885   Concepts: preallocation^Matrix
886 
887 .seealso: MatPreallocateFinalize(), MatPreallocateSet(),  MatPreallocateInitialize(),
888           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
889 M*/
890 #define MatPreallocateSymmetricSetBlock(row,nc,cols,dnz,onz) 0;\
891 { PetscInt __i; \
892   for (__i=0; __i<nc; __i++) {\
893     if (cols[__i] >= __end) onz[row - __rstart]++; \
894     else if (cols[__i] >= row) dnz[row - __rstart]++;\
895   }\
896 }
897 
898 /*MC
899    MatPreallocateLocation -  An alternative to MatPreallocationSet() that puts the nonzero locations into the matrix if it exists
900 
901    Synopsis:
902    #include <petscmat.h>
903    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
904 
905    Not Collective
906 
907    Input Parameters:
908 .  A - matrix
909 .  row - row where values exist (must be local to this process)
910 .  ncols - number of columns
911 .  cols - columns with nonzeros
912 .  dnz - the array that will be passed to the matrix preallocation routines
913 -  ozn - the other array passed to the matrix preallocation routines
914 
915    Level: intermediate
916 
917    Notes:
918     See Users-Manual: ch_performance for more details.
919 
920    Do not malloc or free dnz and onz that is handled internally by these routines
921 
922    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
923 
924   Concepts: preallocation^Matrix
925 
926 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
927           MatPreallocateSymmetricSetLocalBlock()
928 M*/
929 #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);}
930 
931 
932 /*MC
933    MatPreallocateFinalize - Ends the block of code that will count the number of nonzeros per
934        row in a matrix providing the data that one can use to correctly preallocate the matrix.
935 
936    Synopsis:
937    #include <petscmat.h>
938    PetscErrorCode MatPreallocateFinalize(PetscInt *dnz, PetscInt *onz)
939 
940    Collective on MPI_Comm
941 
942    Input Parameters:
943 +  dnz - the array that was be passed to the matrix preallocation routines
944 -  ozn - the other array passed to the matrix preallocation routines
945 
946    Level: intermediate
947 
948    Notes:
949     See Users-Manual: ch_performance for more details.
950 
951    Do not malloc or free dnz and onz that is handled internally by these routines
952 
953    This is a MACRO not a function because it closes the { started in MatPreallocateInitialize().
954 
955   Concepts: preallocation^Matrix
956 
957 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
958           MatPreallocateSymmetricSetLocalBlock()
959 M*/
960 #define MatPreallocateFinalize(dnz,onz) 0;_4_ierr = PetscFree2(dnz,onz);CHKERRQ(_4_ierr);}
961 
962 /* Routines unique to particular data structures */
963 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat,void *);
964 
965 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat,IS*,IS*);
966 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat,PetscInt *,PetscInt *[],PetscInt *);
967 
968 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat,PetscInt[]);
969 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat,PetscInt[]);
970 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
971 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
972 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
973 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*,PetscInt,PetscBool);
974 
975 #define MAT_SKIP_ALLOCATION -4
976 
977 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
978 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
979 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat,PetscInt,const PetscInt[]);
980 
981 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
982 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
983 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
984 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat,const PetscInt [],const PetscInt [],const PetscScalar []);
985 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
986 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]);
987 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
988 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat,PetscInt[],PetscInt[],PetscInt[]);
989 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
990 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
991 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
992 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
993 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat,Mat*);
994 
995 PETSC_EXTERN PetscErrorCode MatISSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
996 PETSC_EXTERN PetscErrorCode MatISSetUpSF(Mat);
997 PETSC_EXTERN PetscErrorCode MatSeqDenseSetLDA(Mat,PetscInt);
998 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat,Mat*);
999 
1000 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
1001 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
1002 
1003 PETSC_EXTERN PetscErrorCode MatDAADSetCtx(Mat,void*);
1004 
1005 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat,IS*);
1006 PETSC_EXTERN PetscErrorCode MatFindZeroRows(Mat,IS*);
1007 /*
1008   These routines are not usually accessed directly, rather solving is
1009   done through the KSP and PC interfaces.
1010 */
1011 
1012 /*J
1013     MatOrderingType - String with the name of a PETSc matrix ordering
1014 
1015    Level: beginner
1016 
1017 .seealso: MatGetOrdering()
1018 J*/
1019 typedef const char* MatOrderingType;
1020 #define MATORDERINGNATURAL     "natural"
1021 #define MATORDERINGND          "nd"
1022 #define MATORDERING1WD         "1wd"
1023 #define MATORDERINGRCM         "rcm"
1024 #define MATORDERINGQMD         "qmd"
1025 #define MATORDERINGROWLENGTH   "rowlength"
1026 #define MATORDERINGWBM         "wbm"
1027 #define MATORDERINGSPECTRAL    "spectral"
1028 #define MATORDERINGAMD         "amd"            /* only works if UMFPACK is installed with PETSc */
1029 
1030 PETSC_EXTERN PetscErrorCode MatGetOrdering(Mat,MatOrderingType,IS*,IS*);
1031 PETSC_EXTERN PetscErrorCode MatGetOrderingList(PetscFunctionList*);
1032 PETSC_EXTERN PetscErrorCode MatOrderingRegister(const char[],PetscErrorCode(*)(Mat,MatOrderingType,IS*,IS*));
1033 PETSC_EXTERN PetscFunctionList MatOrderingList;
1034 
1035 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
1036 PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat,PetscReal,PetscBool,Mat*);
1037 
1038 /*S
1039     MatFactorShiftType - Numeric Shift.
1040 
1041    Level: beginner
1042 
1043 S*/
1044 typedef enum {MAT_SHIFT_NONE,MAT_SHIFT_NONZERO,MAT_SHIFT_POSITIVE_DEFINITE,MAT_SHIFT_INBLOCKS} MatFactorShiftType;
1045 PETSC_EXTERN const char *const MatFactorShiftTypes[];
1046 PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];
1047 
1048 /*S
1049     MatFactorError - indicates what type of error in matrix factor
1050 
1051     Level: beginner
1052 
1053     Developer Notes: Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1054 
1055 .seealso: MatGetFactor()
1056 S*/
1057 typedef enum {MAT_FACTOR_NOERROR,MAT_FACTOR_STRUCT_ZEROPIVOT,MAT_FACTOR_NUMERIC_ZEROPIVOT,MAT_FACTOR_OUTMEMORY,MAT_FACTOR_OTHER} MatFactorError;
1058 
1059 PETSC_EXTERN PetscErrorCode MatFactorGetError(Mat,MatFactorError*);
1060 PETSC_EXTERN PetscErrorCode MatFactorClearError(Mat);
1061 PETSC_EXTERN PetscErrorCode MatFactorGetErrorZeroPivot(Mat,PetscReal*,PetscInt*);
1062 
1063 /*S
1064    MatFactorInfo - Data passed into the matrix factorization routines, and information about the resulting factorization
1065 
1066    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE, that is use
1067 $     MatFactorInfo  info(MAT_FACTORINFO_SIZE)
1068 
1069    Notes: These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
1070 
1071       You can use MatFactorInfoInitialize() to set default values.
1072 
1073    Level: developer
1074 
1075 .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor(),
1076           MatFactorInfoInitialize()
1077 
1078 S*/
1079 typedef struct {
1080   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
1081   PetscReal     usedt;
1082   PetscReal     dt;             /* drop tolerance */
1083   PetscReal     dtcol;          /* tolerance for pivoting */
1084   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
1085   PetscReal     fill;           /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1086   PetscReal     levels;         /* ICC/ILU(levels) */
1087   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1088                                    factorization may be faster if do not pivot */
1089   PetscReal     zeropivot;      /* pivot is called zero if less than this */
1090   PetscReal     shifttype;      /* type of shift added to matrix factor to prevent zero pivots */
1091   PetscReal     shiftamount;     /* how large the shift is */
1092 } MatFactorInfo;
1093 
1094 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo*);
1095 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat,IS,const MatFactorInfo*);
1096 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1097 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat,Mat,const MatFactorInfo*);
1098 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat,IS,IS,const MatFactorInfo*);
1099 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat,IS,IS,const MatFactorInfo*);
1100 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1101 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1102 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1103 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat,IS,const MatFactorInfo*);
1104 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat,Mat,const MatFactorInfo*);
1105 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat,PetscInt*,PetscInt*,PetscInt*);
1106 PETSC_EXTERN PetscErrorCode MatSolve(Mat,Vec,Vec);
1107 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat,Vec,Vec);
1108 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat,Vec,Vec);
1109 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat,Vec,Vec,Vec);
1110 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat,Vec,Vec);
1111 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
1112 PETSC_EXTERN PetscErrorCode MatSolves(Mat,Vecs,Vecs);
1113 PETSC_EXTERN PetscErrorCode MatFactorSetSchurIS(Mat,IS);
1114 PETSC_EXTERN PetscErrorCode MatFactorGetSchurComplement(Mat,Mat*);
1115 PETSC_EXTERN PetscErrorCode MatFactorRestoreSchurComplement(Mat,Mat*);
1116 PETSC_EXTERN PetscErrorCode MatFactorInvertSchurComplement(Mat);
1117 PETSC_EXTERN PetscErrorCode MatFactorCreateSchurComplement(Mat,Mat*);
1118 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplement(Mat,Vec,Vec);
1119 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplementTranspose(Mat,Vec,Vec);
1120 PETSC_EXTERN PetscErrorCode MatFactorFactorizeSchurComplement(Mat);
1121 PETSC_EXTERN PetscErrorCode MatFactorSetSchurComplementSolverType(Mat,PetscInt);
1122 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
1123 
1124 /*E
1125     MatSORType - What type of (S)SOR to perform
1126 
1127     Level: beginner
1128 
1129    May be bitwise ORd together
1130 
1131    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1132 
1133    MatSORType may be bitwise ORd together, so do not change the numbers
1134 
1135 .seealso: MatSOR()
1136 E*/
1137 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
1138               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
1139               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
1140               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
1141 PETSC_EXTERN PetscErrorCode MatSOR(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
1142 
1143 /*
1144     These routines are for efficiently computing Jacobians via finite differences.
1145 */
1146 
1147 /*S
1148      MatColoring - Object for managing the coloring of matrices.
1149 
1150    Level: beginner
1151 
1152   Concepts: matrix, coloring
1153 
1154 .seealso:  MatFDColoringCreate() ISColoring MatFDColoring
1155 S*/
1156 typedef struct _p_MatColoring* MatColoring;
1157 /*J
1158     MatColoringType - String with the name of a PETSc matrix coloring
1159 
1160    Level: beginner
1161 
1162 .seealso: MatColoringSetType(), MatColoring
1163 J*/
1164 
1165 typedef const  char*           MatColoringType;
1166 #define MATCOLORINGJP      "jp"
1167 #define MATCOLORINGPOWER   "power"
1168 #define MATCOLORINGNATURAL "natural"
1169 #define MATCOLORINGSL      "sl"
1170 #define MATCOLORINGLF      "lf"
1171 #define MATCOLORINGID      "id"
1172 #define MATCOLORINGGREEDY  "greedy"
1173 
1174 /*E
1175    MatColoringWeightType - Type of weight scheme
1176 
1177     Not Collective
1178 
1179 +   MAT_COLORING_RANDOM  - Random weights
1180 .   MAT_COLORING_LEXICAL - Lexical weighting based upon global numbering.
1181 -   MAT_COLORING_LF      - Last-first weighting.
1182 
1183     Level: intermediate
1184 
1185    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1186 
1187 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1188 E*/
1189 typedef enum {MAT_COLORING_WEIGHT_RANDOM,MAT_COLORING_WEIGHT_LEXICAL,MAT_COLORING_WEIGHT_LF,MAT_COLORING_WEIGHT_SL} MatColoringWeightType;
1190 
1191 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat,MatColoring*);
1192 PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat,PetscInt,PetscInt*);
1193 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring*);
1194 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring,PetscViewer);
1195 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring,MatColoringType);
1196 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1197 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring,PetscInt);
1198 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring,PetscInt*);
1199 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring,PetscInt);
1200 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring,PetscInt*);
1201 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring,ISColoring*);
1202 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[],PetscErrorCode(*)(MatColoring));
1203 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat,PetscInt,PetscInt,ISColoringValue[],ISColoring*);
1204 PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring,MatColoringWeightType);
1205 PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring,PetscReal*,PetscInt*);
1206 PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring,PetscReal **,PetscInt **lperm);
1207 PETSC_EXTERN PetscErrorCode MatColoringTestValid(MatColoring,ISColoring);
1208 
1209 /*S
1210      MatFDColoring - Object for computing a sparse Jacobian via finite differences
1211         and coloring
1212 
1213    Level: beginner
1214 
1215   Concepts: coloring, sparse Jacobian, finite differences
1216 
1217 .seealso:  MatFDColoringCreate()
1218 S*/
1219 typedef struct _p_MatFDColoring* MatFDColoring;
1220 
1221 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
1222 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring*);
1223 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring,PetscViewer);
1224 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring,PetscErrorCode (*)(void),void*);
1225 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring,PetscErrorCode (**)(void),void**);
1226 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
1227 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1228 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat,MatFDColoring,Vec,void *);
1229 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring,Vec);
1230 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring,PetscInt*,PetscInt*[]);
1231 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat,ISColoring,MatFDColoring);
1232 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring,PetscInt,PetscInt);
1233 
1234 
1235 /*S
1236      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring
1237 
1238    Level: beginner
1239 
1240   Concepts: coloring, sparse matrix product
1241 
1242 .seealso:  MatTransposeColoringCreate()
1243 S*/
1244 typedef struct _p_MatTransposeColoring* MatTransposeColoring;
1245 
1246 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat,ISColoring,MatTransposeColoring *);
1247 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring,Mat,Mat);
1248 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring,Mat,Mat);
1249 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring*);
1250 
1251 /*
1252     These routines are for partitioning matrices: currently used only
1253   for adjacency matrix, MatCreateMPIAdj().
1254 */
1255 
1256 /*S
1257      MatPartitioning - Object for managing the partitioning of a matrix or graph
1258 
1259    Level: beginner
1260 
1261   Concepts: partitioning
1262 
1263 .seealso:  MatPartitioningCreate(), MatPartitioningType
1264 S*/
1265 typedef struct _p_MatPartitioning* MatPartitioning;
1266 
1267 /*J
1268     MatPartitioningType - String with the name of a PETSc matrix partitioning
1269 
1270    Level: beginner
1271 dm
1272 .seealso: MatPartitioningCreate(), MatPartitioning
1273 J*/
1274 typedef const char* MatPartitioningType;
1275 #define MATPARTITIONINGCURRENT  "current"
1276 #define MATPARTITIONINGAVERAGE   "average"
1277 #define MATPARTITIONINGSQUARE   "square"
1278 #define MATPARTITIONINGPARMETIS "parmetis"
1279 #define MATPARTITIONINGCHACO    "chaco"
1280 #define MATPARTITIONINGPARTY    "party"
1281 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1282 #define MATPARTITIONINGHIERARCH  "hierarch"
1283 
1284 
1285 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1286 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning,MatPartitioningType);
1287 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning,PetscInt);
1288 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning,Mat);
1289 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning,const PetscInt[]);
1290 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1291 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning,IS*);
1292 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning*);
1293 
1294 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[],PetscErrorCode (*)(MatPartitioning));
1295 
1296 
1297 
1298 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning,PetscViewer);
1299 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1300 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
1301 
1302 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetRepartition(MatPartitioning part);
1303 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1304 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1305 
1306 typedef enum { MP_CHACO_MULTILEVEL=1,MP_CHACO_SPECTRAL=2,MP_CHACO_LINEAR=4,MP_CHACO_RANDOM=5,MP_CHACO_SCATTERED=6 } MPChacoGlobalType;
1307 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1308 typedef enum { MP_CHACO_KERNIGHAN=1,MP_CHACO_NONE=2 } MPChacoLocalType;
1309 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1310 typedef enum { MP_CHACO_LANCZOS=0,MP_CHACO_RQI=1 } MPChacoEigenType;
1311 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1312 
1313 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning,MPChacoGlobalType);
1314 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning,MPChacoGlobalType*);
1315 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning,MPChacoLocalType);
1316 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning,MPChacoLocalType*);
1317 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning,PetscReal);
1318 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning,MPChacoEigenType);
1319 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning,MPChacoEigenType*);
1320 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning,PetscReal);
1321 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning,PetscReal*);
1322 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning,PetscInt);
1323 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning,PetscInt*);
1324 
1325 #define MP_PARTY_OPT "opt"
1326 #define MP_PARTY_LIN "lin"
1327 #define MP_PARTY_SCA "sca"
1328 #define MP_PARTY_RAN "ran"
1329 #define MP_PARTY_GBF "gbf"
1330 #define MP_PARTY_GCF "gcf"
1331 #define MP_PARTY_BUB "bub"
1332 #define MP_PARTY_DEF "def"
1333 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning,const char*);
1334 #define MP_PARTY_HELPFUL_SETS "hs"
1335 #define MP_PARTY_KERNIGHAN_LIN "kl"
1336 #define MP_PARTY_NONE "no"
1337 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning,const char*);
1338 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning,PetscReal);
1339 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning,PetscBool);
1340 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning,PetscBool);
1341 
1342 typedef enum { MP_PTSCOTCH_QUALITY,MP_PTSCOTCH_SPEED,MP_PTSCOTCH_BALANCE,MP_PTSCOTCH_SAFETY,MP_PTSCOTCH_SCALABILITY } MPPTScotchStrategyType;
1343 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1344 
1345 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning,PetscReal);
1346 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning,PetscReal*);
1347 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning,MPPTScotchStrategyType);
1348 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning,MPPTScotchStrategyType*);
1349 
1350 /*
1351  * hierarchical partitioning
1352  */
1353 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetFineparts(MatPartitioning,IS*);
1354 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetCoarseparts(MatPartitioning,IS*);
1355 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNcoarseparts(MatPartitioning,PetscInt);
1356 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNfineparts(MatPartitioning, PetscInt);
1357 
1358 PETSC_EXTERN PetscErrorCode MatMeshToVertexGraph(Mat,PetscInt,Mat*);
1359 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat,PetscInt,Mat*);
1360 
1361 /*
1362     If you add entries here you must also add them to petsc/finclude/petscmat.h
1363 */
1364 typedef enum { MATOP_SET_VALUES=0,
1365                MATOP_GET_ROW=1,
1366                MATOP_RESTORE_ROW=2,
1367                MATOP_MULT=3,
1368                MATOP_MULT_ADD=4,
1369                MATOP_MULT_TRANSPOSE=5,
1370                MATOP_MULT_TRANSPOSE_ADD=6,
1371                MATOP_SOLVE=7,
1372                MATOP_SOLVE_ADD=8,
1373                MATOP_SOLVE_TRANSPOSE=9,
1374                MATOP_SOLVE_TRANSPOSE_ADD=10,
1375                MATOP_LUFACTOR=11,
1376                MATOP_CHOLESKYFACTOR=12,
1377                MATOP_SOR=13,
1378                MATOP_TRANSPOSE=14,
1379                MATOP_GETINFO=15,
1380                MATOP_EQUAL=16,
1381                MATOP_GET_DIAGONAL=17,
1382                MATOP_DIAGONAL_SCALE=18,
1383                MATOP_NORM=19,
1384                MATOP_ASSEMBLY_BEGIN=20,
1385                MATOP_ASSEMBLY_END=21,
1386                MATOP_SET_OPTION=22,
1387                MATOP_ZERO_ENTRIES=23,
1388                MATOP_ZERO_ROWS=24,
1389                MATOP_LUFACTOR_SYMBOLIC=25,
1390                MATOP_LUFACTOR_NUMERIC=26,
1391                MATOP_CHOLESKY_FACTOR_SYMBOLIC=27,
1392                MATOP_CHOLESKY_FACTOR_NUMERIC=28,
1393                MATOP_SETUP_PREALLOCATION=29,
1394                MATOP_ILUFACTOR_SYMBOLIC=30,
1395                MATOP_ICCFACTOR_SYMBOLIC=31,
1396                MATOP_GET_DIAGONAL_BLOCK=32,
1397                /* MATOP_PLACEHOLDER_33=33, */
1398                MATOP_DUPLICATE=34,
1399                MATOP_FORWARD_SOLVE=35,
1400                MATOP_BACKWARD_SOLVE=36,
1401                MATOP_ILUFACTOR=37,
1402                MATOP_ICCFACTOR=38,
1403                MATOP_AXPY=39,
1404                MATOP_CREATE_SUBMATRICES=40,
1405                MATOP_INCREASE_OVERLAP=41,
1406                MATOP_GET_VALUES=42,
1407                MATOP_COPY=43,
1408                MATOP_GET_ROW_MAX=44,
1409                MATOP_SCALE=45,
1410                MATOP_SHIFT=46,
1411                MATOP_DIAGONAL_SET=47,
1412                MATOP_ZERO_ROWS_COLUMNS=48,
1413                MATOP_SET_RANDOM=49,
1414                MATOP_GET_ROW_IJ=50,
1415                MATOP_RESTORE_ROW_IJ=51,
1416                MATOP_GET_COLUMN_IJ=52,
1417                MATOP_RESTORE_COLUMN_IJ=53,
1418                MATOP_FDCOLORING_CREATE=54,
1419                MATOP_COLORING_PATCH=55,
1420                MATOP_SET_UNFACTORED=56,
1421                MATOP_PERMUTE=57,
1422                MATOP_SET_VALUES_BLOCKED=58,
1423                MATOP_CREATE_SUBMATRIX=59,
1424                MATOP_DESTROY=60,
1425                MATOP_VIEW=61,
1426                MATOP_CONVERT_FROM=62,
1427                MATOP_MATMAT_MULT=63,
1428                MATOP_MATMAT_MULT_SYMBOLIC=64,
1429                MATOP_MATMAT_MULT_NUMERIC=65,
1430                MATOP_SET_LOCAL_TO_GLOBAL_MAP=66,
1431                MATOP_SET_VALUES_LOCAL=67,
1432                MATOP_ZERO_ROWS_LOCAL=68,
1433                MATOP_GET_ROW_MAX_ABS=69,
1434                MATOP_GET_ROW_MIN_ABS=70,
1435                MATOP_CONVERT=71,
1436                MATOP_SET_COLORING=72,
1437                /* MATOP_PLACEHOLDER_73=73, */
1438                MATOP_SET_VALUES_ADIFOR=74,
1439                MATOP_FD_COLORING_APPLY=75,
1440                MATOP_SET_FROM_OPTIONS=76,
1441                MATOP_MULT_CONSTRAINED=77,
1442                MATOP_MULT_TRANSPOSE_CONSTRAIN=78,
1443                MATOP_FIND_ZERO_DIAGONALS=79,
1444                MATOP_MULT_MULTIPLE=80,
1445                MATOP_SOLVE_MULTIPLE=81,
1446                MATOP_GET_INERTIA=82,
1447                MATOP_LOAD=83,
1448                MATOP_IS_SYMMETRIC=84,
1449                MATOP_IS_HERMITIAN=85,
1450                MATOP_IS_STRUCTURALLY_SYMMETRIC=86,
1451                MATOP_SET_VALUES_BLOCKEDLOCAL=87,
1452                MATOP_GET_VECS=88,
1453                MATOP_MAT_MULT=89,
1454                MATOP_MAT_MULT_SYMBOLIC=90,
1455                MATOP_MAT_MULT_NUMERIC=91,
1456                MATOP_PTAP=92,
1457                MATOP_PTAP_SYMBOLIC=93,
1458                MATOP_PTAP_NUMERIC=94,
1459                MATOP_MAT_TRANSPOSE_MULT=95,
1460                MATOP_MAT_TRANSPOSE_MULT_SYMBO=96,
1461                MATOP_MAT_TRANSPOSE_MULT_NUMER=97,
1462                /* MATOP_PLACEHOLDER_98=98, */
1463                /* MATOP_PLACEHOLDER_99=99, */
1464                /* MATOP_PLACEHOLDER_100=100, */
1465                /* MATOP_PLACEHOLDER_101=101, */
1466                MATOP_CONJUGATE=102,
1467                /* MATOP_PLACEHOLDER_103=103, */
1468                MATOP_SET_VALUES_ROW=104,
1469                MATOP_REAL_PART=105,
1470                MATOP_IMAGINARY_PART=106,
1471                MATOP_GET_ROW_UPPER_TRIANGULAR=107,
1472                MATOP_RESTORE_ROW_UPPER_TRIANG=108,
1473                MATOP_MAT_SOLVE=109,
1474                MATOP_GET_REDUNDANT_MATRIX=110,
1475                MATOP_GET_ROW_MIN=111,
1476                MATOP_GET_COLUMN_VECTOR=112,
1477                MATOP_MISSING_DIAGONAL=113,
1478                MATOP_GET_SEQ_NONZERO_STRUCTUR=114,
1479                MATOP_CREATE=115,
1480                MATOP_GET_GHOSTS=116,
1481                MATOP_GET_LOCAL_SUB_MATRIX=117,
1482                MATOP_RESTORE_LOCALSUB_MATRIX=118,
1483                MATOP_MULT_DIAGONAL_BLOCK=119,
1484                MATOP_HERMITIAN_TRANSPOSE=120,
1485                MATOP_MULT_HERMITIAN_TRANSPOSE=121,
1486                MATOP_MULT_HERMITIAN_TRANS_ADD=122,
1487                MATOP_GET_MULTI_PROC_BLOCK=123,
1488                MATOP_FIND_NONZERO_ROWS=124,
1489                MATOP_GET_COLUMN_NORMS=125,
1490                MATOP_INVERT_BLOCK_DIAGONAL=126,
1491                /* MATOP_PLACEHOLDER_127=127, */
1492                MATOP_GET_SUB_MATRICES_PARALLE=128,
1493                MATOP_SET_VALUES_BATCH=129,
1494                MATOP_TRANSPOSE_MAT_MULT=130,
1495                MATOP_TRANSPOSE_MAT_MULT_SYMBO=131,
1496                MATOP_TRANSPOSE_MAT_MULT_NUMER=132,
1497                MATOP_TRANSPOSE_COLORING_CREAT=133,
1498                MATOP_TRANS_COLORING_APPLY_SPT=134,
1499                MATOP_TRANS_COLORING_APPLY_DEN=135,
1500                MATOP_RART=136,
1501                MATOP_RART_SYMBOLIC=137,
1502                MATOP_RART_NUMERIC=138,
1503                MATOP_SET_BLOCK_SIZES=139,
1504                MATOP_AYPX=140,
1505                MATOP_RESIDUAL=141,
1506                MATOP_FDCOLORING_SETUP=142,
1507                MATOP_MPICONCATENATESEQ=144
1508              } MatOperation;
1509 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat,MatOperation,PetscBool *);
1510 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat,MatOperation,void(*)(void));
1511 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat,MatOperation,void(**)(void));
1512 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat,void*);
1513 
1514 /*
1515    Codes for matrices stored on disk. By default they are
1516    stored in a universal format. By changing the format with
1517    PetscViewerPushFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
1518    be stored in a way natural for the matrix, for example dense matrices
1519    would be stored as dense. Matrices stored this way may only be
1520    read into matrices of the same type.
1521 */
1522 #define MATRIX_BINARY_FORMAT_DENSE -1
1523 
1524 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1525 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat,Mat*);
1526 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat,Mat);
1527 PETSC_EXTERN PetscErrorCode MatISGetMPIXAIJ(Mat,MatReuse,Mat*);
1528 
1529 /*S
1530      MatNullSpace - Object that removes a null space from a vector, i.e.
1531          orthogonalizes the vector to a subsapce
1532 
1533    Level: advanced
1534 
1535   Concepts: matrix; linear operator, null space
1536 
1537   Users manual sections:
1538 .   sec_singular
1539 
1540 .seealso:  MatNullSpaceCreate()
1541 S*/
1542 typedef struct _p_MatNullSpace* MatNullSpace;
1543 
1544 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm,PetscBool ,PetscInt,const Vec[],MatNullSpace*);
1545 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace,PetscErrorCode (*)(MatNullSpace,Vec,void*),void*);
1546 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace*);
1547 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace,Vec);
1548 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
1549 PETSC_EXTERN PetscErrorCode MatGetTransposeNullSpace(Mat, MatNullSpace *);
1550 PETSC_EXTERN PetscErrorCode MatSetTransposeNullSpace(Mat,MatNullSpace);
1551 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat,MatNullSpace);
1552 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat,MatNullSpace);
1553 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat,MatNullSpace*);
1554 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace,Mat,PetscBool  *);
1555 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace,PetscViewer);
1556 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace,PetscBool*,PetscInt*,const Vec**);
1557 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec,MatNullSpace*);
1558 
1559 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat,IS);
1560 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1561 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat,PetscInt *);
1562 PETSC_EXTERN PetscErrorCode MatSeqBAIJInvertBlockDiagonal(Mat);
1563 
1564 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat,PetscInt,Mat*);
1565 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat,PetscInt,Mat*);
1566 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat,Mat*);
1567 
1568 PETSC_EXTERN PetscErrorCode MatComputeExplicitOperator(Mat,Mat*);
1569 
1570 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat,Vec);
1571 
1572 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
1573 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat,Vec,Vec);
1574 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat,PetscErrorCode(*)(void*,Vec,Vec),void*);
1575 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat,PetscErrorCode (*)(void*,PetscInt,Vec,PetscScalar*));
1576 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat,PetscErrorCode (*)(void*,Vec));
1577 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat,PetscScalar[],PetscInt);
1578 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
1579 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat,PetscReal);
1580 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat,PetscInt);
1581 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat,PetscScalar *);
1582 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat,const char[]);
1583 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void*,Vec,Vec,PetscScalar*);
1584 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat,PetscErrorCode (*)(void*,Vec,Vec,PetscScalar*),void*);
1585 
1586 /*S
1587     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
1588               Jacobian vector products
1589 
1590     Notes: MATMFFD is a specific MatType which uses the MatMFFD data structure
1591 
1592            MatMFFD*() methods actually take the Mat as their first argument. Not a MatMFFD data structure
1593 
1594     Level: developer
1595 
1596 .seealso: MATMFFD, MatCreateMFFD(), MatMFFDSetFuction(), MatMFFDSetType(), MatMFFDRegister()
1597 S*/
1598 typedef struct _p_MatMFFD* MatMFFD;
1599 
1600 /*J
1601     MatMFFDType - algorithm used to compute the h used in computing matrix-vector products via differencing of the function
1602 
1603    Level: beginner
1604 
1605 .seealso: MatMFFDSetType(), MatMFFDRegister()
1606 J*/
1607 typedef const char* MatMFFDType;
1608 #define MATMFFD_DS  "ds"
1609 #define MATMFFD_WP  "wp"
1610 
1611 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat,MatMFFDType);
1612 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[],PetscErrorCode (*)(MatMFFD));
1613 
1614 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat,PetscReal);
1615 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat,PetscBool );
1616 
1617 PETSC_EXTERN PetscErrorCode MatFDColoringSetType(MatFDColoring,MatMFFDType);
1618 
1619 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
1620 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
1621 
1622 /*
1623    PETSc interface to MUMPS
1624 */
1625 #ifdef PETSC_HAVE_MUMPS
1626 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat,PetscInt,PetscInt);
1627 PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat,PetscInt,PetscInt*);
1628 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat,PetscInt,PetscReal);
1629 PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat,PetscInt,PetscReal*);
1630 
1631 PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat,PetscInt,PetscInt*);
1632 PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat,PetscInt,PetscInt*);
1633 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat,PetscInt,PetscReal*);
1634 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat,PetscInt,PetscReal*);
1635 #endif
1636 
1637 /*
1638    PETSc interface to Mkl_Pardiso
1639 */
1640 #ifdef PETSC_HAVE_MKL_PARDISO
1641 PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat,PetscInt,PetscInt);
1642 #endif
1643 
1644 /*
1645    PETSc interface to Mkl_CPardiso
1646 */
1647 #ifdef PETSC_HAVE_MKL_CPARDISO
1648 PETSC_EXTERN PetscErrorCode MatMkl_CPardisoSetCntl(Mat,PetscInt,PetscInt);
1649 #endif
1650 
1651 /*
1652    PETSc interface to SUPERLU
1653 */
1654 #ifdef PETSC_HAVE_SUPERLU
1655 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat,PetscReal);
1656 #endif
1657 
1658 /*
1659    PETSc interface to SUPERLU_DIST
1660 */
1661 #ifdef PETSC_HAVE_SUPERLU_DIST
1662 PETSC_EXTERN PetscErrorCode MatSuperluDistGetDiagU(Mat,PetscScalar*);
1663 #endif
1664 
1665 /*
1666    PETSc interface to STRUMPACK
1667 */
1668 #ifdef PETSC_HAVE_STRUMPACK
1669 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSRelCompTol(Mat,PetscReal);
1670 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMinSize(Mat,PetscInt);
1671 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetColPerm(Mat,PetscBool);
1672 #endif
1673 
1674 
1675 #ifdef PETSC_HAVE_CUDA
1676 /*E
1677     MatCUSPARSEStorageFormat - indicates the storage format for CUSPARSE (GPU)
1678     matrices.
1679 
1680     Not Collective
1681 
1682 +   MAT_CUSPARSE_CSR - Compressed Sparse Row
1683 .   MAT_CUSPARSE_ELL - Ellpack (requires CUDA 4.2 or later).
1684 -   MAT_CUSPARSE_HYB - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
1685 
1686     Level: intermediate
1687 
1688    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1689 
1690 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEFormatOperation
1691 E*/
1692 
1693 typedef enum {MAT_CUSPARSE_CSR, MAT_CUSPARSE_ELL, MAT_CUSPARSE_HYB} MatCUSPARSEStorageFormat;
1694 
1695 /* these will be strings associated with enumerated type defined above */
1696 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
1697 
1698 /*E
1699     MatCUSPARSEFormatOperation - indicates the operation of CUSPARSE (GPU)
1700     matrices whose operation should use a particular storage format.
1701 
1702     Not Collective
1703 
1704 +   MAT_CUSPARSE_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1705 .   MAT_CUSPARSE_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1706 .   MAT_CUSPARSE_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1707 -   MAT_CUSPARSE_ALL - sets the storage format for all CUSPARSE (GPU) matrices
1708 
1709     Level: intermediate
1710 
1711 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEStorageFormat
1712 E*/
1713 typedef enum {MAT_CUSPARSE_MULT_DIAG, MAT_CUSPARSE_MULT_OFFDIAG, MAT_CUSPARSE_MULT, MAT_CUSPARSE_ALL} MatCUSPARSEFormatOperation;
1714 
1715 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1716 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1717 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat,MatCUSPARSEFormatOperation,MatCUSPARSEStorageFormat);
1718 #endif
1719 
1720 #if defined(PETSC_HAVE_CUSP)
1721 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1722 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1723 
1724 /*E
1725     MatCUSPStorageFormat - indicates the storage format for CUSP (GPU)
1726     matrices.
1727 
1728     Not Collective
1729 
1730 +   MAT_CUSP_CSR - Compressed Sparse Row
1731 .   MAT_CUSP_DIA - Diagonal
1732 -   MAT_CUSP_ELL - Ellpack
1733 
1734     Level: intermediate
1735 
1736    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1737 
1738 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1739 E*/
1740 typedef enum {MAT_CUSP_CSR, MAT_CUSP_DIA, MAT_CUSP_ELL} MatCUSPStorageFormat;
1741 
1742 /* these will be strings associated with enumerated type defined above */
1743 PETSC_EXTERN const char *const MatCUSPStorageFormats[];
1744 
1745 /*E
1746     MatCUSPFormatOperation - indicates the operation of CUSP (GPU)
1747     matrices whose operation should use a particular storage format.
1748 
1749     Not Collective
1750 
1751 +   MAT_CUSP_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1752 .   MAT_CUSP_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1753 .   MAT_CUSP_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1754 -   MAT_CUSP_ALL - sets the storage format for all CUSP (GPU) matrices
1755 
1756     Level: intermediate
1757 
1758    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1759 
1760 .seealso: MatCUSPSetFormat(), MatCUSPStorageFormat
1761 E*/
1762 typedef enum {MAT_CUSP_MULT_DIAG, MAT_CUSP_MULT_OFFDIAG, MAT_CUSP_MULT, MAT_CUSP_ALL} MatCUSPFormatOperation;
1763 
1764 PETSC_EXTERN PetscErrorCode MatCUSPSetFormat(Mat,MatCUSPFormatOperation,MatCUSPStorageFormat);
1765 #endif
1766 
1767 #if defined(PETSC_HAVE_VIENNACL)
1768 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1769 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1770 #endif
1771 
1772 /*
1773    PETSc interface to FFTW
1774 */
1775 #if defined(PETSC_HAVE_FFTW)
1776 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat,Vec,Vec);
1777 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat,Vec,Vec);
1778 PETSC_EXTERN PetscErrorCode MatCreateVecsFFTW(Mat,Vec*,Vec*,Vec*);
1779 #endif
1780 
1781 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm,PetscInt,const IS[],PetscInt,const IS[],const Mat[],Mat*);
1782 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat,PetscInt*,PetscInt*);
1783 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat,IS[],IS[]);
1784 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat,IS[],IS[]);
1785 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat,PetscInt*,PetscInt*,Mat***);
1786 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat,PetscInt,PetscInt,Mat*);
1787 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat,VecType);
1788 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat,PetscInt,const IS[],PetscInt,const IS[],const Mat[]);
1789 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat,PetscInt,PetscInt,Mat);
1790 
1791 PETSC_EXTERN PetscErrorCode MatChop(Mat,PetscReal);
1792 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat,PetscReal,PetscInt*);
1793 
1794 PETSC_EXTERN PetscErrorCode MatSubdomainsCreateCoalesce(Mat,PetscInt,PetscInt*,IS**);
1795 
1796 PETSC_EXTERN PetscErrorCode MatPreallocatorPreallocate(Mat,PetscBool,Mat);
1797 
1798 PETSC_INTERN PetscErrorCode MatHeaderMerge(Mat,Mat*);
1799 PETSC_EXTERN PetscErrorCode MatHeaderReplace(Mat,Mat*);
1800 
1801 #endif
1802