xref: /petsc/include/petscmat.h (revision d3042a70f471d64055a67fbedc03cbed6f0fa57d)
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 MatDensePlaceArray(Mat,const PetscScalar[]);
374 PETSC_EXTERN PetscErrorCode MatDenseResetArray(Mat);
375 PETSC_EXTERN PetscErrorCode MatGetBlockSize(Mat,PetscInt *);
376 PETSC_EXTERN PetscErrorCode MatSetBlockSize(Mat,PetscInt);
377 PETSC_EXTERN PetscErrorCode MatGetBlockSizes(Mat,PetscInt *,PetscInt *);
378 PETSC_EXTERN PetscErrorCode MatSetBlockSizes(Mat,PetscInt,PetscInt);
379 PETSC_EXTERN PetscErrorCode MatSetBlockSizesFromMats(Mat,Mat,Mat);
380 
381 PETSC_EXTERN PetscErrorCode MatMult(Mat,Vec,Vec);
382 PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat,Vec,Vec);
383 PETSC_EXTERN PetscErrorCode MatMultAdd(Mat,Vec,Vec,Vec);
384 PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat,Vec,Vec);
385 PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat,Vec,Vec);
386 PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat,Mat,PetscReal,PetscBool *);
387 PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat,Mat,PetscReal,PetscBool *);
388 PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat,Vec,Vec,Vec);
389 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat,Vec,Vec,Vec);
390 PETSC_EXTERN PetscErrorCode MatMultConstrained(Mat,Vec,Vec);
391 PETSC_EXTERN PetscErrorCode MatMultTransposeConstrained(Mat,Vec,Vec);
392 PETSC_EXTERN PetscErrorCode MatMatSolve(Mat,Mat,Mat);
393 PETSC_EXTERN PetscErrorCode MatResidual(Mat,Vec,Vec,Vec);
394 
395 /*E
396     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
397   its numerical values copied over or just its nonzero structure.
398 
399     Level: beginner
400 
401    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
402 
403 $   MAT_SHARE_NONZERO_PATTERN - the i and j arrays in the new matrix will be shared with the original matrix
404 $                               this also triggers the MAT_DO_NOT_COPY_VALUES option. This is used when you
405 $                               have several matrices with the same nonzero pattern.
406 
407 .seealso: MatDuplicate()
408 E*/
409 typedef enum {MAT_DO_NOT_COPY_VALUES,MAT_COPY_VALUES,MAT_SHARE_NONZERO_PATTERN} MatDuplicateOption;
410 
411 PETSC_EXTERN PetscErrorCode MatConvert(Mat,MatType,MatReuse,Mat*);
412 PETSC_EXTERN PetscErrorCode MatDuplicate(Mat,MatDuplicateOption,Mat*);
413 
414 
415 PETSC_EXTERN PetscErrorCode MatCopy(Mat,Mat,MatStructure);
416 PETSC_EXTERN PetscErrorCode MatView(Mat,PetscViewer);
417 PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat,PetscReal,PetscBool *);
418 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat,PetscBool *);
419 PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat,PetscReal,PetscBool *);
420 PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat,PetscBool *,PetscBool *);
421 PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat,PetscBool *,PetscBool *);
422 PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat,PetscBool  *,PetscInt *);
423 PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);
424 
425 PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
426 PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
427 PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
428 PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
429 
430 /*S
431      MatInfo - Context of matrix information, used with MatGetInfo()
432 
433    In Fortran this is simply a double precision array of dimension MAT_INFO_SIZE
434 
435    Level: intermediate
436 
437   Concepts: matrix^nonzero information
438 
439 .seealso:  MatGetInfo(), MatInfoType
440 S*/
441 typedef struct {
442   PetscLogDouble block_size;                         /* block size */
443   PetscLogDouble nz_allocated,nz_used,nz_unneeded;   /* number of nonzeros */
444   PetscLogDouble memory;                             /* memory allocated */
445   PetscLogDouble assemblies;                         /* number of matrix assemblies called */
446   PetscLogDouble mallocs;                            /* number of mallocs during MatSetValues() */
447   PetscLogDouble fill_ratio_given,fill_ratio_needed; /* fill ratio for LU/ILU */
448   PetscLogDouble factor_mallocs;                     /* number of mallocs during factorization */
449 } MatInfo;
450 
451 /*E
452     MatInfoType - Indicates if you want information about the local part of the matrix,
453      the entire parallel matrix or the maximum over all the local parts.
454 
455     Level: beginner
456 
457    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
458 
459 .seealso: MatGetInfo(), MatInfo
460 E*/
461 typedef enum {MAT_LOCAL=1,MAT_GLOBAL_MAX=2,MAT_GLOBAL_SUM=3} MatInfoType;
462 PETSC_EXTERN PetscErrorCode MatGetInfo(Mat,MatInfoType,MatInfo*);
463 PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat,Vec);
464 PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat,Vec,PetscInt[]);
465 PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat,Vec,PetscInt[]);
466 PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat,Vec,PetscInt[]);
467 PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat,Vec,PetscInt[]);
468 PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat,Vec);
469 PETSC_EXTERN PetscErrorCode MatTranspose(Mat,MatReuse,Mat*);
470 PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat,MatReuse,Mat*);
471 PETSC_EXTERN PetscErrorCode MatPermute(Mat,IS,IS,Mat*);
472 PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat,Vec,Vec);
473 PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat,Vec,InsertMode);
474 
475 PETSC_EXTERN PetscErrorCode MatEqual(Mat,Mat,PetscBool*);
476 PETSC_EXTERN PetscErrorCode MatMultEqual(Mat,Mat,PetscInt,PetscBool*);
477 PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat,Mat,PetscInt,PetscBool*);
478 PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat,Mat,PetscInt,PetscBool*);
479 PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat,Mat,PetscInt,PetscBool*);
480 PETSC_EXTERN PetscErrorCode MatMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
481 PETSC_EXTERN PetscErrorCode MatTransposeMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
482 
483 PETSC_EXTERN PetscErrorCode MatNorm(Mat,NormType,PetscReal*);
484 PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat,NormType,PetscReal*);
485 PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
486 PETSC_EXTERN PetscErrorCode MatZeroRows(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
487 PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat,IS,PetscScalar,Vec,Vec);
488 PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat,PetscInt,const MatStencil [],PetscScalar,Vec,Vec);
489 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat,PetscInt,const MatStencil[],PetscScalar,Vec,Vec);
490 PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
491 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat,IS,PetscScalar,Vec,Vec);
492 
493 PETSC_EXTERN PetscErrorCode MatGetSize(Mat,PetscInt*,PetscInt*);
494 PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat,PetscInt*,PetscInt*);
495 PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat,PetscInt*,PetscInt*);
496 PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat,const PetscInt**);
497 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat,PetscInt*,PetscInt*);
498 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat,const PetscInt**);
499 PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat,IS*,IS*);
500 
501 PETSC_EXTERN PetscErrorCode MatCreateSubMatrices(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
502 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);}
503 PETSC_EXTERN PetscErrorCode MatCreateSubMatricesMPI(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
504 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);}
505 PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt,Mat *[]);
506 PETSC_EXTERN PetscErrorCode MatDestroySubMatrices(PetscInt,Mat *[]);
507 PETSC_EXTERN PetscErrorCode MatCreateSubMatrix(Mat,IS,IS,MatReuse,Mat *);
508 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);}
509 PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat,IS,IS,Mat*);
510 PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat,IS,IS,Mat*);
511 PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat,Mat*);
512 PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat*);
513 
514 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm,Mat,PetscInt,PetscInt,MatReuse,Mat*);
515 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm,Mat,PetscInt,PetscInt,Mat*);
516 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat,Mat);
517 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat,MatReuse,Mat*);
518 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat,MatReuse,IS*,IS*,Mat*);
519 PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat,Mat,MatReuse,IS*,IS*,Mat*);
520 PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *,const PetscInt *[]);
521 
522 PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat,PetscInt,IS[],PetscInt);
523 PETSC_EXTERN PetscErrorCode MatIncreaseOverlapSplit(Mat mat,PetscInt n,IS is[],PetscInt ov);
524 PETSC_EXTERN PetscErrorCode MatMPIAIJSetUseScalableIncreaseOverlap(Mat,PetscBool);
525 
526 PETSC_EXTERN PetscErrorCode MatMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
527 PETSC_EXTERN PetscErrorCode MatMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
528 PETSC_EXTERN PetscErrorCode MatMatMultNumeric(Mat,Mat,Mat);
529 
530 PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
531 PETSC_EXTERN PetscErrorCode MatGalerkin(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
532 
533 PETSC_EXTERN PetscErrorCode MatPtAP(Mat,Mat,MatReuse,PetscReal,Mat*);
534 PETSC_EXTERN PetscErrorCode MatPtAPSymbolic(Mat,Mat,PetscReal,Mat*);
535 PETSC_EXTERN PetscErrorCode MatPtAPNumeric(Mat,Mat,Mat);
536 PETSC_EXTERN PetscErrorCode MatRARt(Mat,Mat,MatReuse,PetscReal,Mat*);
537 PETSC_EXTERN PetscErrorCode MatRARtSymbolic(Mat,Mat,PetscReal,Mat*);
538 PETSC_EXTERN PetscErrorCode MatRARtNumeric(Mat,Mat,Mat);
539 
540 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
541 PETSC_EXTERN PetscErrorCode MatTransposetMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
542 PETSC_EXTERN PetscErrorCode MatTransposetMatMultNumeric(Mat,Mat,Mat);
543 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat,Mat,MatReuse,PetscReal,Mat*);
544 PETSC_EXTERN PetscErrorCode MatMatTransposeMultSymbolic(Mat,Mat,PetscReal,Mat*);
545 PETSC_EXTERN PetscErrorCode MatMatTransposeMultNumeric(Mat,Mat,Mat);
546 
547 PETSC_EXTERN PetscErrorCode MatAXPY(Mat,PetscScalar,Mat,MatStructure);
548 PETSC_EXTERN PetscErrorCode MatAYPX(Mat,PetscScalar,Mat,MatStructure);
549 
550 PETSC_EXTERN PetscErrorCode MatScale(Mat,PetscScalar);
551 PETSC_EXTERN PetscErrorCode MatShift(Mat,PetscScalar);
552 
553 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
554 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
555 PETSC_EXTERN PetscErrorCode MatGetLayouts(Mat,PetscLayout*,PetscLayout*);
556 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
557 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
558 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
559 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
560 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
561 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
562 
563 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat,PetscInt,PetscInt);
564 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat,PetscInt*,PetscInt*,PetscInt*,PetscInt*);
565 
566 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat,Vec,Vec);
567 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat,Vec,Vec,Vec);
568 PETSC_EXTERN PetscErrorCode MatRestrict(Mat,Vec,Vec);
569 PETSC_EXTERN PetscErrorCode MatCreateVecs(Mat,Vec*,Vec*);
570 PETSC_DEPRECATED("Use MatCreateVecs()") PETSC_STATIC_INLINE PetscErrorCode MatGetVecs(Mat mat,Vec *x,Vec *y) {return MatCreateVecs(mat,x,y);}
571 PETSC_EXTERN PetscErrorCode MatCreateRedundantMatrix(Mat,PetscInt,MPI_Comm,MatReuse,Mat*);
572 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat,MPI_Comm,MatReuse,Mat*);
573 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat,IS*);
574 PETSC_EXTERN PetscErrorCode MatFindOffBlockDiagonalEntries(Mat,IS*);
575 PETSC_EXTERN PetscErrorCode MatCreateMPIMatConcatenateSeqMat(MPI_Comm,Mat,PetscInt,MatReuse,Mat*);
576 
577 /*MC
578    MatSetValue - Set a single entry into a matrix.
579 
580    Not collective
581 
582    Synopsis:
583      #include <petscmat.h>
584      PetscErrorCode MatSetValue(Mat m,PetscInt row,PetscInt col,PetscScalar value,InsertMode mode)
585 
586    Input Parameters:
587 +  m - the matrix
588 .  row - the row location of the entry
589 .  col - the column location of the entry
590 .  value - the value to insert
591 -  mode - either INSERT_VALUES or ADD_VALUES
592 
593    Notes:
594    For efficiency one should use MatSetValues() and set several or many
595    values simultaneously if possible.
596 
597    Level: beginner
598 
599 .seealso: MatSetValues(), MatSetValueLocal()
600 M*/
601 PETSC_STATIC_INLINE PetscErrorCode MatSetValue(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValues(v,1,&i,1,&j,&va,mode);}
602 
603 PETSC_STATIC_INLINE PetscErrorCode MatGetValue(Mat v,PetscInt i,PetscInt j,PetscScalar *va) {return MatGetValues(v,1,&i,1,&j,va);}
604 
605 PETSC_STATIC_INLINE PetscErrorCode MatSetValueLocal(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValuesLocal(v,1,&i,1,&j,&va,mode);}
606 
607 /*MC
608    MatPreallocateInitialize - Begins the block of code that will count the number of nonzeros per
609        row in a matrix providing the data that one can use to correctly preallocate the matrix.
610 
611    Synopsis:
612    #include <petscmat.h>
613    PetscErrorCode MatPreallocateInitialize(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
614 
615    Collective on MPI_Comm
616 
617    Input Parameters:
618 +  comm - the communicator that will share the eventually allocated matrix
619 .  nrows - the number of LOCAL rows in the matrix
620 -  ncols - the number of LOCAL columns in the matrix
621 
622    Output Parameters:
623 +  dnz - the array that will be passed to the matrix preallocation routines
624 -  ozn - the other array passed to the matrix preallocation routines
625 
626    Level: intermediate
627 
628    Notes:
629     See Users-Manual: ch_performance for more details.
630 
631    Do not malloc or free dnz and onz, that is handled internally by these routines
632 
633    Use MatPreallocateInitializeSymmetric() for symmetric matrices (MPISBAIJ matrices)
634 
635    This is a MACRO not a function because it has a leading { that is closed by PetscPreallocateFinalize().
636 
637   Concepts: preallocation^Matrix
638 
639 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
640           MatPreallocateInitializeSymmetric(), MatPreallocateSymmetricSetLocalBlock()
641 M*/
642 #define MatPreallocateInitialize(comm,nrows,ncols,dnz,onz) 0; \
643 { \
644   PetscErrorCode _4_ierr; PetscInt __nrows = (nrows),__ctmp = (ncols),__rstart,__start,__end; \
645   _4_ierr = PetscCalloc2(__nrows,&dnz,__nrows,&onz);CHKERRQ(_4_ierr); \
646   __start = 0; __end = __start;                                         \
647   _4_ierr = MPI_Scan(&__ctmp,&__end,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __start = __end - __ctmp;\
648   _4_ierr = MPI_Scan(&__nrows,&__rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __nrows;
649 
650 /*MC
651    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
652        inserted using a local number of the rows and columns
653 
654    Synopsis:
655    #include <petscmat.h>
656    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
657 
658    Not Collective
659 
660    Input Parameters:
661 +  map - the row mapping from local numbering to global numbering
662 .  nrows - the number of rows indicated
663 .  rows - the indices of the rows
664 .  cmap - the column mapping from local to global numbering
665 .  ncols - the number of columns in the matrix
666 .  cols - the columns indicated
667 .  dnz - the array that will be passed to the matrix preallocation routines
668 -  ozn - the other array passed to the matrix preallocation routines
669 
670    Level: intermediate
671 
672    Notes:
673     See Users-Manual: ch_performance for more details.
674 
675    Do not malloc or free dnz and onz, that is handled internally by these routines
676 
677   Concepts: preallocation^Matrix
678 
679 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
680           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocalRemoveDups()
681 M*/
682 #define MatPreallocateSetLocal(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
683 {\
684   PetscInt __l;\
685   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
686   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
687   for (__l=0;__l<nrows;__l++) {\
688     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
689   }\
690 }
691 
692 /*MC
693    MatPreallocateSetLocalRemoveDups - Indicates the locations (rows and columns) in the matrix where nonzeros will be
694        inserted using a local number of the rows and columns. This version removes any duplicate columns in cols
695 
696    Synopsis:
697    #include <petscmat.h>
698    PetscErrorCode MatPreallocateSetLocalRemoveDups(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
699 
700    Not Collective
701 
702    Input Parameters:
703 +  map - the row mapping from local numbering to global numbering
704 .  nrows - the number of rows indicated
705 .  rows - the indices of the rows (these values are mapped to the global values)
706 .  cmap - the column mapping from local to global numbering
707 .  ncols - the number of columns in the matrix   (this value will be changed if duplicate columns are found)
708 .  cols - the columns indicated (these values are mapped to the global values, they are then sorted and duplicates removed)
709 .  dnz - the array that will be passed to the matrix preallocation routines
710 -  ozn - the other array passed to the matrix preallocation routines
711 
712    Level: intermediate
713 
714    Notes:
715     See Users-Manual: ch_performance for more details.
716 
717    Do not malloc or free dnz and onz, that is handled internally by these routines
718 
719   Concepts: preallocation^Matrix
720 
721 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
722           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
723 M*/
724 #define MatPreallocateSetLocalRemoveDups(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
725 {\
726   PetscInt __l;\
727   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
728   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
729   _4_ierr = PetscSortRemoveDupsInt(&ncols,cols);CHKERRQ(_4_ierr);\
730   for (__l=0;__l<nrows;__l++) {\
731     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
732   }\
733 }
734 
735 /*MC
736    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
737        inserted using a local number of the rows and columns
738 
739    Synopsis:
740    #include <petscmat.h>
741    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
742 
743    Not Collective
744 
745    Input Parameters:
746 +  map - the row mapping from local numbering to global numbering
747 .  nrows - the number of rows indicated
748 .  rows - the indices of the rows
749 .  cmap - the column mapping from local to global numbering
750 .  ncols - the number of columns in the matrix
751 .  cols - the columns indicated
752 .  dnz - the array that will be passed to the matrix preallocation routines
753 -  ozn - the other array passed to the matrix preallocation routines
754 
755    Level: intermediate
756 
757    Notes:
758     See Users-Manual: ch_performance for more details.
759 
760    Do not malloc or free dnz and onz, that is handled internally by these routines
761 
762   Concepts: preallocation^Matrix
763 
764 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
765           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock()
766 M*/
767 #define MatPreallocateSetLocalBlock(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
768 {\
769   PetscInt __l;\
770   _4_ierr = ISLocalToGlobalMappingApplyBlock(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
771   _4_ierr = ISLocalToGlobalMappingApplyBlock(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
772   for (__l=0;__l<nrows;__l++) {\
773     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
774   }\
775 }
776 
777 /*MC
778    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
779        inserted using a local number of the rows and columns
780 
781    Synopsis:
782    #include <petscmat.h>
783    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
784 
785    Not Collective
786 
787    Input Parameters:
788 +  map - the mapping between local numbering and global numbering
789 .  nrows - the number of rows indicated
790 .  rows - the indices of the rows
791 .  ncols - the number of columns in the matrix
792 .  cols - the columns indicated
793 .  dnz - the array that will be passed to the matrix preallocation routines
794 -  ozn - the other array passed to the matrix preallocation routines
795 
796    Level: intermediate
797 
798    Notes:
799     See Users-Manual: ch_performance for more details.
800 
801    Do not malloc or free dnz and onz that is handled internally by these routines
802 
803   Concepts: preallocation^Matrix
804 
805 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateInitialize(),
806           MatPreallocateInitialize(),  MatPreallocateSetLocal()
807 M*/
808 #define MatPreallocateSymmetricSetLocalBlock(map,nrows,rows,ncols,cols,dnz,onz) 0;\
809 {\
810   PetscInt __l;\
811   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
812   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
813   for (__l=0;__l<nrows;__l++) {\
814     _4_ierr = MatPreallocateSymmetricSetBlock((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
815   }\
816 }
817 /*MC
818    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
819        inserted using a local number of the rows and columns
820 
821    Synopsis:
822    #include <petscmat.h>
823    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
824 
825    Not Collective
826 
827    Input Parameters:
828 +  row - the row
829 .  ncols - the number of columns in the matrix
830 -  cols - the columns indicated
831 
832    Output Parameters:
833 +  dnz - the array that will be passed to the matrix preallocation routines
834 -  ozn - the other array passed to the matrix preallocation routines
835 
836    Level: intermediate
837 
838    Notes:
839     See Users-Manual: ch_performance for more details.
840 
841    Do not malloc or free dnz and onz that is handled internally by these routines
842 
843    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
844 
845   Concepts: preallocation^Matrix
846 
847 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
848           MatPreallocateInitialize(), MatPreallocateSetLocal()
849 M*/
850 #define MatPreallocateSet(row,nc,cols,dnz,onz) 0;\
851 { PetscInt __i; \
852   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);\
853   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);\
854   for (__i=0; __i<nc; __i++) {\
855     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
856     else dnz[row - __rstart]++;\
857   }\
858 }
859 
860 /*MC
861    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
862        inserted using a local number of the rows and columns
863 
864    Synopsis:
865    #include <petscmat.h>
866    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
867 
868    Not Collective
869 
870    Input Parameters:
871 +  nrows - the number of rows indicated
872 .  rows - the indices of the rows
873 .  ncols - the number of columns in the matrix
874 .  cols - the columns indicated
875 .  dnz - the array that will be passed to the matrix preallocation routines
876 -  ozn - the other array passed to the matrix preallocation routines
877 
878    Level: intermediate
879 
880    Notes:
881     See Users-Manual: ch_performance for more details.
882 
883    Do not malloc or free dnz and onz that is handled internally by these routines
884 
885    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
886 
887   Concepts: preallocation^Matrix
888 
889 .seealso: MatPreallocateFinalize(), MatPreallocateSet(),  MatPreallocateInitialize(),
890           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
891 M*/
892 #define MatPreallocateSymmetricSetBlock(row,nc,cols,dnz,onz) 0;\
893 { PetscInt __i; \
894   for (__i=0; __i<nc; __i++) {\
895     if (cols[__i] >= __end) onz[row - __rstart]++; \
896     else if (cols[__i] >= row) dnz[row - __rstart]++;\
897   }\
898 }
899 
900 /*MC
901    MatPreallocateLocation -  An alternative to MatPreallocationSet() that puts the nonzero locations into the matrix if it exists
902 
903    Synopsis:
904    #include <petscmat.h>
905    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
906 
907    Not Collective
908 
909    Input Parameters:
910 .  A - matrix
911 .  row - row where values exist (must be local to this process)
912 .  ncols - number of columns
913 .  cols - columns with nonzeros
914 .  dnz - the array that will be passed to the matrix preallocation routines
915 -  ozn - the other array passed to the matrix preallocation routines
916 
917    Level: intermediate
918 
919    Notes:
920     See Users-Manual: ch_performance for more details.
921 
922    Do not malloc or free dnz and onz that is handled internally by these routines
923 
924    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
925 
926   Concepts: preallocation^Matrix
927 
928 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
929           MatPreallocateSymmetricSetLocalBlock()
930 M*/
931 #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);}
932 
933 
934 /*MC
935    MatPreallocateFinalize - Ends the block of code that will count the number of nonzeros per
936        row in a matrix providing the data that one can use to correctly preallocate the matrix.
937 
938    Synopsis:
939    #include <petscmat.h>
940    PetscErrorCode MatPreallocateFinalize(PetscInt *dnz, PetscInt *onz)
941 
942    Collective on MPI_Comm
943 
944    Input Parameters:
945 +  dnz - the array that was be passed to the matrix preallocation routines
946 -  ozn - the other array passed to the matrix preallocation routines
947 
948    Level: intermediate
949 
950    Notes:
951     See Users-Manual: ch_performance for more details.
952 
953    Do not malloc or free dnz and onz that is handled internally by these routines
954 
955    This is a MACRO not a function because it closes the { started in MatPreallocateInitialize().
956 
957   Concepts: preallocation^Matrix
958 
959 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
960           MatPreallocateSymmetricSetLocalBlock()
961 M*/
962 #define MatPreallocateFinalize(dnz,onz) 0;_4_ierr = PetscFree2(dnz,onz);CHKERRQ(_4_ierr);}
963 
964 /* Routines unique to particular data structures */
965 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat,void *);
966 
967 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat,IS*,IS*);
968 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat,PetscInt *,PetscInt *[],PetscInt *);
969 
970 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat,PetscInt[]);
971 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat,PetscInt[]);
972 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
973 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
974 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
975 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*,PetscInt,PetscBool);
976 
977 #define MAT_SKIP_ALLOCATION -4
978 
979 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
980 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
981 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat,PetscInt,const PetscInt[]);
982 
983 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
984 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
985 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
986 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat,const PetscInt [],const PetscInt [],const PetscScalar []);
987 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
988 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]);
989 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
990 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat,PetscInt[],PetscInt[],PetscInt[]);
991 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
992 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
993 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
994 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
995 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat,Mat*);
996 
997 PETSC_EXTERN PetscErrorCode MatISSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
998 PETSC_EXTERN PetscErrorCode MatISSetUpSF(Mat);
999 PETSC_EXTERN PetscErrorCode MatSeqDenseSetLDA(Mat,PetscInt);
1000 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat,Mat*);
1001 
1002 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
1003 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
1004 
1005 PETSC_EXTERN PetscErrorCode MatDAADSetCtx(Mat,void*);
1006 
1007 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat,IS*);
1008 PETSC_EXTERN PetscErrorCode MatFindZeroRows(Mat,IS*);
1009 /*
1010   These routines are not usually accessed directly, rather solving is
1011   done through the KSP and PC interfaces.
1012 */
1013 
1014 /*J
1015     MatOrderingType - String with the name of a PETSc matrix ordering
1016 
1017    Level: beginner
1018 
1019 .seealso: MatGetOrdering()
1020 J*/
1021 typedef const char* MatOrderingType;
1022 #define MATORDERINGNATURAL     "natural"
1023 #define MATORDERINGND          "nd"
1024 #define MATORDERING1WD         "1wd"
1025 #define MATORDERINGRCM         "rcm"
1026 #define MATORDERINGQMD         "qmd"
1027 #define MATORDERINGROWLENGTH   "rowlength"
1028 #define MATORDERINGWBM         "wbm"
1029 #define MATORDERINGSPECTRAL    "spectral"
1030 #define MATORDERINGAMD         "amd"            /* only works if UMFPACK is installed with PETSc */
1031 
1032 PETSC_EXTERN PetscErrorCode MatGetOrdering(Mat,MatOrderingType,IS*,IS*);
1033 PETSC_EXTERN PetscErrorCode MatGetOrderingList(PetscFunctionList*);
1034 PETSC_EXTERN PetscErrorCode MatOrderingRegister(const char[],PetscErrorCode(*)(Mat,MatOrderingType,IS*,IS*));
1035 PETSC_EXTERN PetscFunctionList MatOrderingList;
1036 
1037 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
1038 PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat,PetscReal,PetscBool,Mat*);
1039 
1040 /*S
1041     MatFactorShiftType - Numeric Shift.
1042 
1043    Level: beginner
1044 
1045 S*/
1046 typedef enum {MAT_SHIFT_NONE,MAT_SHIFT_NONZERO,MAT_SHIFT_POSITIVE_DEFINITE,MAT_SHIFT_INBLOCKS} MatFactorShiftType;
1047 PETSC_EXTERN const char *const MatFactorShiftTypes[];
1048 PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];
1049 
1050 /*S
1051     MatFactorError - indicates what type of error in matrix factor
1052 
1053     Level: beginner
1054 
1055     Developer Notes: Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1056 
1057 .seealso: MatGetFactor()
1058 S*/
1059 typedef enum {MAT_FACTOR_NOERROR,MAT_FACTOR_STRUCT_ZEROPIVOT,MAT_FACTOR_NUMERIC_ZEROPIVOT,MAT_FACTOR_OUTMEMORY,MAT_FACTOR_OTHER} MatFactorError;
1060 
1061 PETSC_EXTERN PetscErrorCode MatFactorGetError(Mat,MatFactorError*);
1062 PETSC_EXTERN PetscErrorCode MatFactorClearError(Mat);
1063 PETSC_EXTERN PetscErrorCode MatFactorGetErrorZeroPivot(Mat,PetscReal*,PetscInt*);
1064 
1065 /*S
1066    MatFactorInfo - Data passed into the matrix factorization routines, and information about the resulting factorization
1067 
1068    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE, that is use
1069 $     MatFactorInfo  info(MAT_FACTORINFO_SIZE)
1070 
1071    Notes: These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
1072 
1073       You can use MatFactorInfoInitialize() to set default values.
1074 
1075    Level: developer
1076 
1077 .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor(),
1078           MatFactorInfoInitialize()
1079 
1080 S*/
1081 typedef struct {
1082   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
1083   PetscReal     usedt;
1084   PetscReal     dt;             /* drop tolerance */
1085   PetscReal     dtcol;          /* tolerance for pivoting */
1086   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
1087   PetscReal     fill;           /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1088   PetscReal     levels;         /* ICC/ILU(levels) */
1089   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1090                                    factorization may be faster if do not pivot */
1091   PetscReal     zeropivot;      /* pivot is called zero if less than this */
1092   PetscReal     shifttype;      /* type of shift added to matrix factor to prevent zero pivots */
1093   PetscReal     shiftamount;     /* how large the shift is */
1094 } MatFactorInfo;
1095 
1096 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo*);
1097 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat,IS,const MatFactorInfo*);
1098 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1099 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat,Mat,const MatFactorInfo*);
1100 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat,IS,IS,const MatFactorInfo*);
1101 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat,IS,IS,const MatFactorInfo*);
1102 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1103 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1104 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1105 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat,IS,const MatFactorInfo*);
1106 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat,Mat,const MatFactorInfo*);
1107 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat,PetscInt*,PetscInt*,PetscInt*);
1108 PETSC_EXTERN PetscErrorCode MatSolve(Mat,Vec,Vec);
1109 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat,Vec,Vec);
1110 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat,Vec,Vec);
1111 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat,Vec,Vec,Vec);
1112 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat,Vec,Vec);
1113 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
1114 PETSC_EXTERN PetscErrorCode MatSolves(Mat,Vecs,Vecs);
1115 PETSC_EXTERN PetscErrorCode MatFactorSetSchurIS(Mat,IS);
1116 PETSC_EXTERN PetscErrorCode MatFactorGetSchurComplement(Mat,Mat*);
1117 PETSC_EXTERN PetscErrorCode MatFactorRestoreSchurComplement(Mat,Mat*);
1118 PETSC_EXTERN PetscErrorCode MatFactorInvertSchurComplement(Mat);
1119 PETSC_EXTERN PetscErrorCode MatFactorCreateSchurComplement(Mat,Mat*);
1120 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplement(Mat,Vec,Vec);
1121 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplementTranspose(Mat,Vec,Vec);
1122 PETSC_EXTERN PetscErrorCode MatFactorFactorizeSchurComplement(Mat);
1123 PETSC_EXTERN PetscErrorCode MatFactorSetSchurComplementSolverType(Mat,PetscInt);
1124 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
1125 
1126 /*E
1127     MatSORType - What type of (S)SOR to perform
1128 
1129     Level: beginner
1130 
1131    May be bitwise ORd together
1132 
1133    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1134 
1135    MatSORType may be bitwise ORd together, so do not change the numbers
1136 
1137 .seealso: MatSOR()
1138 E*/
1139 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
1140               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
1141               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
1142               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
1143 PETSC_EXTERN PetscErrorCode MatSOR(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
1144 
1145 /*
1146     These routines are for efficiently computing Jacobians via finite differences.
1147 */
1148 
1149 /*S
1150      MatColoring - Object for managing the coloring of matrices.
1151 
1152    Level: beginner
1153 
1154   Concepts: matrix, coloring
1155 
1156 .seealso:  MatFDColoringCreate() ISColoring MatFDColoring
1157 S*/
1158 typedef struct _p_MatColoring* MatColoring;
1159 /*J
1160     MatColoringType - String with the name of a PETSc matrix coloring
1161 
1162    Level: beginner
1163 
1164 .seealso: MatColoringSetType(), MatColoring
1165 J*/
1166 
1167 typedef const  char*           MatColoringType;
1168 #define MATCOLORINGJP      "jp"
1169 #define MATCOLORINGPOWER   "power"
1170 #define MATCOLORINGNATURAL "natural"
1171 #define MATCOLORINGSL      "sl"
1172 #define MATCOLORINGLF      "lf"
1173 #define MATCOLORINGID      "id"
1174 #define MATCOLORINGGREEDY  "greedy"
1175 
1176 /*E
1177    MatColoringWeightType - Type of weight scheme
1178 
1179     Not Collective
1180 
1181 +   MAT_COLORING_RANDOM  - Random weights
1182 .   MAT_COLORING_LEXICAL - Lexical weighting based upon global numbering.
1183 -   MAT_COLORING_LF      - Last-first weighting.
1184 
1185     Level: intermediate
1186 
1187    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1188 
1189 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1190 E*/
1191 typedef enum {MAT_COLORING_WEIGHT_RANDOM,MAT_COLORING_WEIGHT_LEXICAL,MAT_COLORING_WEIGHT_LF,MAT_COLORING_WEIGHT_SL} MatColoringWeightType;
1192 
1193 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat,MatColoring*);
1194 PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat,PetscInt,PetscInt*);
1195 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring*);
1196 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring,PetscViewer);
1197 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring,MatColoringType);
1198 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1199 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring,PetscInt);
1200 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring,PetscInt*);
1201 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring,PetscInt);
1202 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring,PetscInt*);
1203 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring,ISColoring*);
1204 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[],PetscErrorCode(*)(MatColoring));
1205 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat,PetscInt,PetscInt,ISColoringValue[],ISColoring*);
1206 PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring,MatColoringWeightType);
1207 PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring,PetscReal*,PetscInt*);
1208 PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring,PetscReal **,PetscInt **lperm);
1209 PETSC_EXTERN PetscErrorCode MatColoringTestValid(MatColoring,ISColoring);
1210 
1211 /*S
1212      MatFDColoring - Object for computing a sparse Jacobian via finite differences
1213         and coloring
1214 
1215    Level: beginner
1216 
1217   Concepts: coloring, sparse Jacobian, finite differences
1218 
1219 .seealso:  MatFDColoringCreate()
1220 S*/
1221 typedef struct _p_MatFDColoring* MatFDColoring;
1222 
1223 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
1224 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring*);
1225 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring,PetscViewer);
1226 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring,PetscErrorCode (*)(void),void*);
1227 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring,PetscErrorCode (**)(void),void**);
1228 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
1229 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1230 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat,MatFDColoring,Vec,void *);
1231 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring,Vec);
1232 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring,PetscInt*,PetscInt*[]);
1233 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat,ISColoring,MatFDColoring);
1234 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring,PetscInt,PetscInt);
1235 
1236 
1237 /*S
1238      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring
1239 
1240    Level: beginner
1241 
1242   Concepts: coloring, sparse matrix product
1243 
1244 .seealso:  MatTransposeColoringCreate()
1245 S*/
1246 typedef struct _p_MatTransposeColoring* MatTransposeColoring;
1247 
1248 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat,ISColoring,MatTransposeColoring *);
1249 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring,Mat,Mat);
1250 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring,Mat,Mat);
1251 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring*);
1252 
1253 /*
1254     These routines are for partitioning matrices: currently used only
1255   for adjacency matrix, MatCreateMPIAdj().
1256 */
1257 
1258 /*S
1259      MatPartitioning - Object for managing the partitioning of a matrix or graph
1260 
1261    Level: beginner
1262 
1263   Concepts: partitioning
1264 
1265 .seealso:  MatPartitioningCreate(), MatPartitioningType
1266 S*/
1267 typedef struct _p_MatPartitioning* MatPartitioning;
1268 
1269 /*J
1270     MatPartitioningType - String with the name of a PETSc matrix partitioning
1271 
1272    Level: beginner
1273 dm
1274 .seealso: MatPartitioningCreate(), MatPartitioning
1275 J*/
1276 typedef const char* MatPartitioningType;
1277 #define MATPARTITIONINGCURRENT  "current"
1278 #define MATPARTITIONINGAVERAGE   "average"
1279 #define MATPARTITIONINGSQUARE   "square"
1280 #define MATPARTITIONINGPARMETIS "parmetis"
1281 #define MATPARTITIONINGCHACO    "chaco"
1282 #define MATPARTITIONINGPARTY    "party"
1283 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1284 #define MATPARTITIONINGHIERARCH  "hierarch"
1285 
1286 
1287 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1288 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning,MatPartitioningType);
1289 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning,PetscInt);
1290 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning,Mat);
1291 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning,const PetscInt[]);
1292 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1293 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning,IS*);
1294 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning*);
1295 
1296 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[],PetscErrorCode (*)(MatPartitioning));
1297 
1298 
1299 
1300 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning,PetscViewer);
1301 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1302 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
1303 
1304 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetRepartition(MatPartitioning part);
1305 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1306 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1307 
1308 typedef enum { MP_CHACO_MULTILEVEL=1,MP_CHACO_SPECTRAL=2,MP_CHACO_LINEAR=4,MP_CHACO_RANDOM=5,MP_CHACO_SCATTERED=6 } MPChacoGlobalType;
1309 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1310 typedef enum { MP_CHACO_KERNIGHAN=1,MP_CHACO_NONE=2 } MPChacoLocalType;
1311 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1312 typedef enum { MP_CHACO_LANCZOS=0,MP_CHACO_RQI=1 } MPChacoEigenType;
1313 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1314 
1315 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning,MPChacoGlobalType);
1316 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning,MPChacoGlobalType*);
1317 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning,MPChacoLocalType);
1318 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning,MPChacoLocalType*);
1319 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning,PetscReal);
1320 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning,MPChacoEigenType);
1321 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning,MPChacoEigenType*);
1322 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning,PetscReal);
1323 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning,PetscReal*);
1324 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning,PetscInt);
1325 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning,PetscInt*);
1326 
1327 #define MP_PARTY_OPT "opt"
1328 #define MP_PARTY_LIN "lin"
1329 #define MP_PARTY_SCA "sca"
1330 #define MP_PARTY_RAN "ran"
1331 #define MP_PARTY_GBF "gbf"
1332 #define MP_PARTY_GCF "gcf"
1333 #define MP_PARTY_BUB "bub"
1334 #define MP_PARTY_DEF "def"
1335 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning,const char*);
1336 #define MP_PARTY_HELPFUL_SETS "hs"
1337 #define MP_PARTY_KERNIGHAN_LIN "kl"
1338 #define MP_PARTY_NONE "no"
1339 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning,const char*);
1340 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning,PetscReal);
1341 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning,PetscBool);
1342 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning,PetscBool);
1343 
1344 typedef enum { MP_PTSCOTCH_QUALITY,MP_PTSCOTCH_SPEED,MP_PTSCOTCH_BALANCE,MP_PTSCOTCH_SAFETY,MP_PTSCOTCH_SCALABILITY } MPPTScotchStrategyType;
1345 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1346 
1347 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning,PetscReal);
1348 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning,PetscReal*);
1349 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning,MPPTScotchStrategyType);
1350 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning,MPPTScotchStrategyType*);
1351 
1352 /*
1353  * hierarchical partitioning
1354  */
1355 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetFineparts(MatPartitioning,IS*);
1356 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetCoarseparts(MatPartitioning,IS*);
1357 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNcoarseparts(MatPartitioning,PetscInt);
1358 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNfineparts(MatPartitioning, PetscInt);
1359 
1360 PETSC_EXTERN PetscErrorCode MatMeshToVertexGraph(Mat,PetscInt,Mat*);
1361 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat,PetscInt,Mat*);
1362 
1363 /*
1364     If you add entries here you must also add them to petsc/finclude/petscmat.h
1365 */
1366 typedef enum { MATOP_SET_VALUES=0,
1367                MATOP_GET_ROW=1,
1368                MATOP_RESTORE_ROW=2,
1369                MATOP_MULT=3,
1370                MATOP_MULT_ADD=4,
1371                MATOP_MULT_TRANSPOSE=5,
1372                MATOP_MULT_TRANSPOSE_ADD=6,
1373                MATOP_SOLVE=7,
1374                MATOP_SOLVE_ADD=8,
1375                MATOP_SOLVE_TRANSPOSE=9,
1376                MATOP_SOLVE_TRANSPOSE_ADD=10,
1377                MATOP_LUFACTOR=11,
1378                MATOP_CHOLESKYFACTOR=12,
1379                MATOP_SOR=13,
1380                MATOP_TRANSPOSE=14,
1381                MATOP_GETINFO=15,
1382                MATOP_EQUAL=16,
1383                MATOP_GET_DIAGONAL=17,
1384                MATOP_DIAGONAL_SCALE=18,
1385                MATOP_NORM=19,
1386                MATOP_ASSEMBLY_BEGIN=20,
1387                MATOP_ASSEMBLY_END=21,
1388                MATOP_SET_OPTION=22,
1389                MATOP_ZERO_ENTRIES=23,
1390                MATOP_ZERO_ROWS=24,
1391                MATOP_LUFACTOR_SYMBOLIC=25,
1392                MATOP_LUFACTOR_NUMERIC=26,
1393                MATOP_CHOLESKY_FACTOR_SYMBOLIC=27,
1394                MATOP_CHOLESKY_FACTOR_NUMERIC=28,
1395                MATOP_SETUP_PREALLOCATION=29,
1396                MATOP_ILUFACTOR_SYMBOLIC=30,
1397                MATOP_ICCFACTOR_SYMBOLIC=31,
1398                MATOP_GET_DIAGONAL_BLOCK=32,
1399                /* MATOP_PLACEHOLDER_33=33, */
1400                MATOP_DUPLICATE=34,
1401                MATOP_FORWARD_SOLVE=35,
1402                MATOP_BACKWARD_SOLVE=36,
1403                MATOP_ILUFACTOR=37,
1404                MATOP_ICCFACTOR=38,
1405                MATOP_AXPY=39,
1406                MATOP_CREATE_SUBMATRICES=40,
1407                MATOP_INCREASE_OVERLAP=41,
1408                MATOP_GET_VALUES=42,
1409                MATOP_COPY=43,
1410                MATOP_GET_ROW_MAX=44,
1411                MATOP_SCALE=45,
1412                MATOP_SHIFT=46,
1413                MATOP_DIAGONAL_SET=47,
1414                MATOP_ZERO_ROWS_COLUMNS=48,
1415                MATOP_SET_RANDOM=49,
1416                MATOP_GET_ROW_IJ=50,
1417                MATOP_RESTORE_ROW_IJ=51,
1418                MATOP_GET_COLUMN_IJ=52,
1419                MATOP_RESTORE_COLUMN_IJ=53,
1420                MATOP_FDCOLORING_CREATE=54,
1421                MATOP_COLORING_PATCH=55,
1422                MATOP_SET_UNFACTORED=56,
1423                MATOP_PERMUTE=57,
1424                MATOP_SET_VALUES_BLOCKED=58,
1425                MATOP_CREATE_SUBMATRIX=59,
1426                MATOP_DESTROY=60,
1427                MATOP_VIEW=61,
1428                MATOP_CONVERT_FROM=62,
1429                MATOP_MATMAT_MULT=63,
1430                MATOP_MATMAT_MULT_SYMBOLIC=64,
1431                MATOP_MATMAT_MULT_NUMERIC=65,
1432                MATOP_SET_LOCAL_TO_GLOBAL_MAP=66,
1433                MATOP_SET_VALUES_LOCAL=67,
1434                MATOP_ZERO_ROWS_LOCAL=68,
1435                MATOP_GET_ROW_MAX_ABS=69,
1436                MATOP_GET_ROW_MIN_ABS=70,
1437                MATOP_CONVERT=71,
1438                MATOP_SET_COLORING=72,
1439                /* MATOP_PLACEHOLDER_73=73, */
1440                MATOP_SET_VALUES_ADIFOR=74,
1441                MATOP_FD_COLORING_APPLY=75,
1442                MATOP_SET_FROM_OPTIONS=76,
1443                MATOP_MULT_CONSTRAINED=77,
1444                MATOP_MULT_TRANSPOSE_CONSTRAIN=78,
1445                MATOP_FIND_ZERO_DIAGONALS=79,
1446                MATOP_MULT_MULTIPLE=80,
1447                MATOP_SOLVE_MULTIPLE=81,
1448                MATOP_GET_INERTIA=82,
1449                MATOP_LOAD=83,
1450                MATOP_IS_SYMMETRIC=84,
1451                MATOP_IS_HERMITIAN=85,
1452                MATOP_IS_STRUCTURALLY_SYMMETRIC=86,
1453                MATOP_SET_VALUES_BLOCKEDLOCAL=87,
1454                MATOP_GET_VECS=88,
1455                MATOP_MAT_MULT=89,
1456                MATOP_MAT_MULT_SYMBOLIC=90,
1457                MATOP_MAT_MULT_NUMERIC=91,
1458                MATOP_PTAP=92,
1459                MATOP_PTAP_SYMBOLIC=93,
1460                MATOP_PTAP_NUMERIC=94,
1461                MATOP_MAT_TRANSPOSE_MULT=95,
1462                MATOP_MAT_TRANSPOSE_MULT_SYMBO=96,
1463                MATOP_MAT_TRANSPOSE_MULT_NUMER=97,
1464                /* MATOP_PLACEHOLDER_98=98, */
1465                /* MATOP_PLACEHOLDER_99=99, */
1466                /* MATOP_PLACEHOLDER_100=100, */
1467                /* MATOP_PLACEHOLDER_101=101, */
1468                MATOP_CONJUGATE=102,
1469                /* MATOP_PLACEHOLDER_103=103, */
1470                MATOP_SET_VALUES_ROW=104,
1471                MATOP_REAL_PART=105,
1472                MATOP_IMAGINARY_PART=106,
1473                MATOP_GET_ROW_UPPER_TRIANGULAR=107,
1474                MATOP_RESTORE_ROW_UPPER_TRIANG=108,
1475                MATOP_MAT_SOLVE=109,
1476                MATOP_GET_REDUNDANT_MATRIX=110,
1477                MATOP_GET_ROW_MIN=111,
1478                MATOP_GET_COLUMN_VECTOR=112,
1479                MATOP_MISSING_DIAGONAL=113,
1480                MATOP_GET_SEQ_NONZERO_STRUCTUR=114,
1481                MATOP_CREATE=115,
1482                MATOP_GET_GHOSTS=116,
1483                MATOP_GET_LOCAL_SUB_MATRIX=117,
1484                MATOP_RESTORE_LOCALSUB_MATRIX=118,
1485                MATOP_MULT_DIAGONAL_BLOCK=119,
1486                MATOP_HERMITIAN_TRANSPOSE=120,
1487                MATOP_MULT_HERMITIAN_TRANSPOSE=121,
1488                MATOP_MULT_HERMITIAN_TRANS_ADD=122,
1489                MATOP_GET_MULTI_PROC_BLOCK=123,
1490                MATOP_FIND_NONZERO_ROWS=124,
1491                MATOP_GET_COLUMN_NORMS=125,
1492                MATOP_INVERT_BLOCK_DIAGONAL=126,
1493                /* MATOP_PLACEHOLDER_127=127, */
1494                MATOP_GET_SUB_MATRICES_PARALLE=128,
1495                MATOP_SET_VALUES_BATCH=129,
1496                MATOP_TRANSPOSE_MAT_MULT=130,
1497                MATOP_TRANSPOSE_MAT_MULT_SYMBO=131,
1498                MATOP_TRANSPOSE_MAT_MULT_NUMER=132,
1499                MATOP_TRANSPOSE_COLORING_CREAT=133,
1500                MATOP_TRANS_COLORING_APPLY_SPT=134,
1501                MATOP_TRANS_COLORING_APPLY_DEN=135,
1502                MATOP_RART=136,
1503                MATOP_RART_SYMBOLIC=137,
1504                MATOP_RART_NUMERIC=138,
1505                MATOP_SET_BLOCK_SIZES=139,
1506                MATOP_AYPX=140,
1507                MATOP_RESIDUAL=141,
1508                MATOP_FDCOLORING_SETUP=142,
1509                MATOP_MPICONCATENATESEQ=144
1510              } MatOperation;
1511 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat,MatOperation,PetscBool *);
1512 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat,MatOperation,void(*)(void));
1513 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat,MatOperation,void(**)(void));
1514 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat,void*);
1515 
1516 /*
1517    Codes for matrices stored on disk. By default they are
1518    stored in a universal format. By changing the format with
1519    PetscViewerPushFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
1520    be stored in a way natural for the matrix, for example dense matrices
1521    would be stored as dense. Matrices stored this way may only be
1522    read into matrices of the same type.
1523 */
1524 #define MATRIX_BINARY_FORMAT_DENSE -1
1525 
1526 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1527 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat,Mat*);
1528 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat,Mat);
1529 PETSC_EXTERN PetscErrorCode MatISGetMPIXAIJ(Mat,MatReuse,Mat*);
1530 
1531 /*S
1532      MatNullSpace - Object that removes a null space from a vector, i.e.
1533          orthogonalizes the vector to a subsapce
1534 
1535    Level: advanced
1536 
1537   Concepts: matrix; linear operator, null space
1538 
1539   Users manual sections:
1540 .   sec_singular
1541 
1542 .seealso:  MatNullSpaceCreate()
1543 S*/
1544 typedef struct _p_MatNullSpace* MatNullSpace;
1545 
1546 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm,PetscBool ,PetscInt,const Vec[],MatNullSpace*);
1547 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace,PetscErrorCode (*)(MatNullSpace,Vec,void*),void*);
1548 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace*);
1549 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace,Vec);
1550 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
1551 PETSC_EXTERN PetscErrorCode MatGetTransposeNullSpace(Mat, MatNullSpace *);
1552 PETSC_EXTERN PetscErrorCode MatSetTransposeNullSpace(Mat,MatNullSpace);
1553 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat,MatNullSpace);
1554 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat,MatNullSpace);
1555 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat,MatNullSpace*);
1556 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace,Mat,PetscBool  *);
1557 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace,PetscViewer);
1558 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace,PetscBool*,PetscInt*,const Vec**);
1559 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec,MatNullSpace*);
1560 
1561 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat,IS);
1562 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1563 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat,PetscInt *);
1564 PETSC_EXTERN PetscErrorCode MatSeqBAIJInvertBlockDiagonal(Mat);
1565 
1566 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat,PetscInt,Mat*);
1567 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat,PetscInt,Mat*);
1568 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat,Mat*);
1569 
1570 PETSC_EXTERN PetscErrorCode MatComputeExplicitOperator(Mat,Mat*);
1571 
1572 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat,Vec);
1573 
1574 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
1575 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat,Vec,Vec);
1576 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat,PetscErrorCode(*)(void*,Vec,Vec),void*);
1577 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat,PetscErrorCode (*)(void*,PetscInt,Vec,PetscScalar*));
1578 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat,PetscErrorCode (*)(void*,Vec));
1579 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat,PetscScalar[],PetscInt);
1580 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
1581 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat,PetscReal);
1582 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat,PetscInt);
1583 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat,PetscScalar *);
1584 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat,const char[]);
1585 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void*,Vec,Vec,PetscScalar*);
1586 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat,PetscErrorCode (*)(void*,Vec,Vec,PetscScalar*),void*);
1587 
1588 /*S
1589     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
1590               Jacobian vector products
1591 
1592     Notes: MATMFFD is a specific MatType which uses the MatMFFD data structure
1593 
1594            MatMFFD*() methods actually take the Mat as their first argument. Not a MatMFFD data structure
1595 
1596     Level: developer
1597 
1598 .seealso: MATMFFD, MatCreateMFFD(), MatMFFDSetFuction(), MatMFFDSetType(), MatMFFDRegister()
1599 S*/
1600 typedef struct _p_MatMFFD* MatMFFD;
1601 
1602 /*J
1603     MatMFFDType - algorithm used to compute the h used in computing matrix-vector products via differencing of the function
1604 
1605    Level: beginner
1606 
1607 .seealso: MatMFFDSetType(), MatMFFDRegister()
1608 J*/
1609 typedef const char* MatMFFDType;
1610 #define MATMFFD_DS  "ds"
1611 #define MATMFFD_WP  "wp"
1612 
1613 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat,MatMFFDType);
1614 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[],PetscErrorCode (*)(MatMFFD));
1615 
1616 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat,PetscReal);
1617 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat,PetscBool );
1618 
1619 PETSC_EXTERN PetscErrorCode MatFDColoringSetType(MatFDColoring,MatMFFDType);
1620 
1621 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
1622 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
1623 
1624 /*
1625    PETSc interface to MUMPS
1626 */
1627 #ifdef PETSC_HAVE_MUMPS
1628 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat,PetscInt,PetscInt);
1629 PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat,PetscInt,PetscInt*);
1630 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat,PetscInt,PetscReal);
1631 PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat,PetscInt,PetscReal*);
1632 
1633 PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat,PetscInt,PetscInt*);
1634 PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat,PetscInt,PetscInt*);
1635 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat,PetscInt,PetscReal*);
1636 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat,PetscInt,PetscReal*);
1637 #endif
1638 
1639 /*
1640    PETSc interface to Mkl_Pardiso
1641 */
1642 #ifdef PETSC_HAVE_MKL_PARDISO
1643 PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat,PetscInt,PetscInt);
1644 #endif
1645 
1646 /*
1647    PETSc interface to Mkl_CPardiso
1648 */
1649 #ifdef PETSC_HAVE_MKL_CPARDISO
1650 PETSC_EXTERN PetscErrorCode MatMkl_CPardisoSetCntl(Mat,PetscInt,PetscInt);
1651 #endif
1652 
1653 /*
1654    PETSc interface to SUPERLU
1655 */
1656 #ifdef PETSC_HAVE_SUPERLU
1657 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat,PetscReal);
1658 #endif
1659 
1660 /*
1661    PETSc interface to SUPERLU_DIST
1662 */
1663 #ifdef PETSC_HAVE_SUPERLU_DIST
1664 PETSC_EXTERN PetscErrorCode MatSuperluDistGetDiagU(Mat,PetscScalar*);
1665 #endif
1666 
1667 /*
1668    PETSc interface to STRUMPACK
1669 */
1670 #ifdef PETSC_HAVE_STRUMPACK
1671 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSRelCompTol(Mat,PetscReal);
1672 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMinSize(Mat,PetscInt);
1673 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetColPerm(Mat,PetscBool);
1674 #endif
1675 
1676 
1677 #ifdef PETSC_HAVE_CUDA
1678 /*E
1679     MatCUSPARSEStorageFormat - indicates the storage format for CUSPARSE (GPU)
1680     matrices.
1681 
1682     Not Collective
1683 
1684 +   MAT_CUSPARSE_CSR - Compressed Sparse Row
1685 .   MAT_CUSPARSE_ELL - Ellpack (requires CUDA 4.2 or later).
1686 -   MAT_CUSPARSE_HYB - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
1687 
1688     Level: intermediate
1689 
1690    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1691 
1692 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEFormatOperation
1693 E*/
1694 
1695 typedef enum {MAT_CUSPARSE_CSR, MAT_CUSPARSE_ELL, MAT_CUSPARSE_HYB} MatCUSPARSEStorageFormat;
1696 
1697 /* these will be strings associated with enumerated type defined above */
1698 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
1699 
1700 /*E
1701     MatCUSPARSEFormatOperation - indicates the operation of CUSPARSE (GPU)
1702     matrices whose operation should use a particular storage format.
1703 
1704     Not Collective
1705 
1706 +   MAT_CUSPARSE_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1707 .   MAT_CUSPARSE_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1708 .   MAT_CUSPARSE_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1709 -   MAT_CUSPARSE_ALL - sets the storage format for all CUSPARSE (GPU) matrices
1710 
1711     Level: intermediate
1712 
1713 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEStorageFormat
1714 E*/
1715 typedef enum {MAT_CUSPARSE_MULT_DIAG, MAT_CUSPARSE_MULT_OFFDIAG, MAT_CUSPARSE_MULT, MAT_CUSPARSE_ALL} MatCUSPARSEFormatOperation;
1716 
1717 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1718 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1719 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat,MatCUSPARSEFormatOperation,MatCUSPARSEStorageFormat);
1720 #endif
1721 
1722 #if defined(PETSC_HAVE_CUSP)
1723 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1724 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1725 
1726 /*E
1727     MatCUSPStorageFormat - indicates the storage format for CUSP (GPU)
1728     matrices.
1729 
1730     Not Collective
1731 
1732 +   MAT_CUSP_CSR - Compressed Sparse Row
1733 .   MAT_CUSP_DIA - Diagonal
1734 -   MAT_CUSP_ELL - Ellpack
1735 
1736     Level: intermediate
1737 
1738    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1739 
1740 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1741 E*/
1742 typedef enum {MAT_CUSP_CSR, MAT_CUSP_DIA, MAT_CUSP_ELL} MatCUSPStorageFormat;
1743 
1744 /* these will be strings associated with enumerated type defined above */
1745 PETSC_EXTERN const char *const MatCUSPStorageFormats[];
1746 
1747 /*E
1748     MatCUSPFormatOperation - indicates the operation of CUSP (GPU)
1749     matrices whose operation should use a particular storage format.
1750 
1751     Not Collective
1752 
1753 +   MAT_CUSP_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1754 .   MAT_CUSP_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1755 .   MAT_CUSP_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1756 -   MAT_CUSP_ALL - sets the storage format for all CUSP (GPU) matrices
1757 
1758     Level: intermediate
1759 
1760    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1761 
1762 .seealso: MatCUSPSetFormat(), MatCUSPStorageFormat
1763 E*/
1764 typedef enum {MAT_CUSP_MULT_DIAG, MAT_CUSP_MULT_OFFDIAG, MAT_CUSP_MULT, MAT_CUSP_ALL} MatCUSPFormatOperation;
1765 
1766 PETSC_EXTERN PetscErrorCode MatCUSPSetFormat(Mat,MatCUSPFormatOperation,MatCUSPStorageFormat);
1767 #endif
1768 
1769 #if defined(PETSC_HAVE_VIENNACL)
1770 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1771 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1772 #endif
1773 
1774 /*
1775    PETSc interface to FFTW
1776 */
1777 #if defined(PETSC_HAVE_FFTW)
1778 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat,Vec,Vec);
1779 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat,Vec,Vec);
1780 PETSC_EXTERN PetscErrorCode MatCreateVecsFFTW(Mat,Vec*,Vec*,Vec*);
1781 #endif
1782 
1783 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm,PetscInt,const IS[],PetscInt,const IS[],const Mat[],Mat*);
1784 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat,PetscInt*,PetscInt*);
1785 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat,IS[],IS[]);
1786 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat,IS[],IS[]);
1787 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat,PetscInt*,PetscInt*,Mat***);
1788 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat,PetscInt,PetscInt,Mat*);
1789 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat,VecType);
1790 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat,PetscInt,const IS[],PetscInt,const IS[],const Mat[]);
1791 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat,PetscInt,PetscInt,Mat);
1792 
1793 PETSC_EXTERN PetscErrorCode MatChop(Mat,PetscReal);
1794 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat,PetscReal,PetscInt*);
1795 
1796 PETSC_EXTERN PetscErrorCode MatSubdomainsCreateCoalesce(Mat,PetscInt,PetscInt*,IS**);
1797 
1798 PETSC_EXTERN PetscErrorCode MatPreallocatorPreallocate(Mat,PetscBool,Mat);
1799 
1800 PETSC_INTERN PetscErrorCode MatHeaderMerge(Mat,Mat*);
1801 PETSC_EXTERN PetscErrorCode MatHeaderReplace(Mat,Mat*);
1802 
1803 #endif
1804