xref: /petsc/include/petscmat.h (revision 7c2f51b85e8313b004844ffc7f3ceca0d36ccad4)
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 
208 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
209 PETSC_EXTERN PetscErrorCode MatCreateBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
210 PETSC_EXTERN PetscErrorCode MatCreateMPIBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat*);
211 
212 PETSC_EXTERN PetscErrorCode MatCreateMPIAdj(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscInt[],Mat*);
213 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
214 
215 PETSC_EXTERN PetscErrorCode MatCreateSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
216 PETSC_EXTERN PetscErrorCode MatCreateMPISBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
217 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
218 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
219 PETSC_EXTERN PetscErrorCode MatXAIJSetPreallocation(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscInt[],const PetscInt[]);
220 
221 PETSC_EXTERN PetscErrorCode MatCreateShell(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,void *,Mat*);
222 PETSC_EXTERN PetscErrorCode MatCreateNormal(Mat,Mat*);
223 PETSC_EXTERN PetscErrorCode MatCreateNormalHermitian(Mat,Mat*);
224 PETSC_EXTERN PetscErrorCode MatCreateLRC(Mat,Mat,Vec,Mat,Mat*);
225 PETSC_EXTERN PetscErrorCode MatLRCGetMats(Mat,Mat*,Mat*,Vec*,Mat*);
226 PETSC_EXTERN PetscErrorCode MatCreateIS(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,ISLocalToGlobalMapping,ISLocalToGlobalMapping,Mat*);
227 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
228 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
229 
230 PETSC_EXTERN PetscErrorCode MatCreateScatter(MPI_Comm,VecScatter,Mat*);
231 PETSC_EXTERN PetscErrorCode MatScatterSetVecScatter(Mat,VecScatter);
232 PETSC_EXTERN PetscErrorCode MatScatterGetVecScatter(Mat,VecScatter*);
233 PETSC_EXTERN PetscErrorCode MatCreateBlockMat(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt*,Mat*);
234 PETSC_EXTERN PetscErrorCode MatCompositeAddMat(Mat,Mat);
235 PETSC_EXTERN PetscErrorCode MatCompositeMerge(Mat);
236 PETSC_EXTERN PetscErrorCode MatCreateComposite(MPI_Comm,PetscInt,const Mat*,Mat*);
237 typedef enum {MAT_COMPOSITE_ADDITIVE,MAT_COMPOSITE_MULTIPLICATIVE} MatCompositeType;
238 PETSC_EXTERN PetscErrorCode MatCompositeSetType(Mat,MatCompositeType);
239 
240 PETSC_EXTERN PetscErrorCode MatCreateFFT(MPI_Comm,PetscInt,const PetscInt[],MatType,Mat*);
241 PETSC_EXTERN PetscErrorCode MatCreateSeqCUFFT(MPI_Comm,PetscInt,const PetscInt[],Mat*);
242 
243 PETSC_EXTERN PetscErrorCode MatCreateTranspose(Mat,Mat*);
244 PETSC_EXTERN PetscErrorCode MatTransposeGetMat(Mat,Mat*);
245 PETSC_EXTERN PetscErrorCode MatCreateHermitianTranspose(Mat,Mat*);
246 PETSC_EXTERN PetscErrorCode MatCreateSubMatrixVirtual(Mat,IS,IS,Mat*);
247 PETSC_EXTERN PetscErrorCode MatSubMatrixVirtualUpdate(Mat,Mat,IS,IS);
248 PETSC_EXTERN PetscErrorCode MatCreateLocalRef(Mat,IS,IS,Mat*);
249 
250 #if defined(PETSC_HAVE_HYPRE)
251 PETSC_EXTERN PetscErrorCode MatHYPRESetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
252 #endif
253 
254 PETSC_EXTERN PetscErrorCode MatPythonSetType(Mat,const char[]);
255 
256 PETSC_EXTERN PetscErrorCode MatSetUp(Mat);
257 PETSC_EXTERN PetscErrorCode MatDestroy(Mat*);
258 PETSC_EXTERN PetscErrorCode MatGetNonzeroState(Mat,PetscObjectState*);
259 
260 PETSC_EXTERN PetscErrorCode MatConjugate(Mat);
261 PETSC_EXTERN PetscErrorCode MatRealPart(Mat);
262 PETSC_EXTERN PetscErrorCode MatImaginaryPart(Mat);
263 PETSC_EXTERN PetscErrorCode MatGetDiagonalBlock(Mat,Mat*);
264 PETSC_EXTERN PetscErrorCode MatGetTrace(Mat,PetscScalar*);
265 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonal(Mat,const PetscScalar **);
266 
267 /* ------------------------------------------------------------*/
268 PETSC_EXTERN PetscErrorCode MatSetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
269 PETSC_EXTERN PetscErrorCode MatSetValuesBlocked(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
270 PETSC_EXTERN PetscErrorCode MatSetValuesRow(Mat,PetscInt,const PetscScalar[]);
271 PETSC_EXTERN PetscErrorCode MatSetValuesRowLocal(Mat,PetscInt,const PetscScalar[]);
272 PETSC_EXTERN PetscErrorCode MatSetValuesBatch(Mat,PetscInt,PetscInt,PetscInt[],const PetscScalar[]);
273 PETSC_EXTERN PetscErrorCode MatSetRandom(Mat,PetscRandom);
274 
275 /*S
276      MatStencil - Data structure (C struct) for storing information about a single row or
277         column of a matrix as indexed on an associated grid. These are arguments to MatSetStencil() and MatSetBlockStencil()
278 
279    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).
280    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.
281 
282    For stencil access to vectors see DMDAVecGetArray(), DMDAVecGetArrayF90().
283 
284    Fortran usage is different, see MatSetValuesStencil() for details.
285 
286    Level: beginner
287 
288   Concepts: matrix; linear operator
289 
290 .seealso:  MatSetValuesStencil(), MatSetStencil(), MatSetValuesBlockedStencil(), DMDAVecGetArray(), DMDAVecGetArrayF90()
291 S*/
292 typedef struct {
293   PetscInt k,j,i,c;
294 } MatStencil;
295 
296 PETSC_EXTERN PetscErrorCode MatSetValuesStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
297 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
298 PETSC_EXTERN PetscErrorCode MatSetStencil(Mat,PetscInt,const PetscInt[],const PetscInt[],PetscInt);
299 
300 /*E
301     MatAssemblyType - Indicates if the matrix is now to be used, or if you plan
302      to continue to add or insert values to it
303 
304     Level: beginner
305 
306 .seealso: MatAssemblyBegin(), MatAssemblyEnd()
307 E*/
308 typedef enum {MAT_FLUSH_ASSEMBLY=1,MAT_FINAL_ASSEMBLY=0} MatAssemblyType;
309 PETSC_EXTERN PetscErrorCode MatAssemblyBegin(Mat,MatAssemblyType);
310 PETSC_EXTERN PetscErrorCode MatAssemblyEnd(Mat,MatAssemblyType);
311 PETSC_EXTERN PetscErrorCode MatAssembled(Mat,PetscBool *);
312 
313 
314 
315 /*E
316     MatOption - Options that may be set for a matrix and its behavior or storage
317 
318     Level: beginner
319 
320    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
321 
322    Developer Notes: Entries that are negative need not be called collectively by all processes.
323 
324 .seealso: MatSetOption()
325 E*/
326 typedef enum {MAT_OPTION_MIN = -3,
327               MAT_UNUSED_NONZERO_LOCATION_ERR = -2,
328               MAT_ROW_ORIENTED = -1,
329               MAT_SYMMETRIC = 1,
330               MAT_STRUCTURALLY_SYMMETRIC = 2,
331               MAT_NEW_DIAGONALS = 3,
332               MAT_IGNORE_OFF_PROC_ENTRIES = 4,
333               MAT_USE_HASH_TABLE = 5,
334               MAT_KEEP_NONZERO_PATTERN = 6,
335               MAT_IGNORE_ZERO_ENTRIES = 7,
336               MAT_USE_INODES = 8,
337               MAT_HERMITIAN = 9,
338               MAT_SYMMETRY_ETERNAL = 10,
339               MAT_NEW_NONZERO_LOCATION_ERR = 11,
340               MAT_IGNORE_LOWER_TRIANGULAR = 12,
341               MAT_ERROR_LOWER_TRIANGULAR = 13,
342               MAT_GETROW_UPPERTRIANGULAR = 14,
343               MAT_SPD = 15,
344               MAT_NO_OFF_PROC_ZERO_ROWS = 16,
345               MAT_NO_OFF_PROC_ENTRIES = 17,
346               MAT_NEW_NONZERO_LOCATIONS = 18,
347               MAT_NEW_NONZERO_ALLOCATION_ERR = 19,
348               MAT_SUBSET_OFF_PROC_ENTRIES = 20,
349               MAT_SUBMAT_SINGLEIS = 21,
350               MAT_OPTION_MAX = 22} MatOption;
351 
352 PETSC_EXTERN const char *MatOptions[];
353 PETSC_EXTERN PetscErrorCode MatSetOption(Mat,MatOption,PetscBool);
354 PETSC_EXTERN PetscErrorCode MatGetOption(Mat,MatOption,PetscBool*);
355 PETSC_EXTERN PetscErrorCode MatGetType(Mat,MatType*);
356 
357 PETSC_EXTERN PetscErrorCode MatGetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar[]);
358 PETSC_EXTERN PetscErrorCode MatGetRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
359 PETSC_EXTERN PetscErrorCode MatRestoreRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
360 PETSC_EXTERN PetscErrorCode MatGetRowUpperTriangular(Mat);
361 PETSC_EXTERN PetscErrorCode MatRestoreRowUpperTriangular(Mat);
362 PETSC_EXTERN PetscErrorCode MatGetColumnVector(Mat,Vec,PetscInt);
363 PETSC_EXTERN PetscErrorCode MatSeqAIJGetArray(Mat,PetscScalar *[]);
364 PETSC_EXTERN PetscErrorCode MatSeqAIJRestoreArray(Mat,PetscScalar *[]);
365 PETSC_EXTERN PetscErrorCode MatSeqAIJGetMaxRowNonzeros(Mat,PetscInt*);
366 PETSC_EXTERN PetscErrorCode MatSeqAIJSetValuesLocalFast(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
367 PETSC_EXTERN PetscErrorCode MatSeqSBAIJGetArray(Mat,PetscScalar *[]);
368 PETSC_EXTERN PetscErrorCode MatSeqSBAIJRestoreArray(Mat,PetscScalar *[]);
369 PETSC_EXTERN PetscErrorCode MatDenseGetArray(Mat,PetscScalar *[]);
370 PETSC_EXTERN PetscErrorCode MatDenseRestoreArray(Mat,PetscScalar *[]);
371 PETSC_EXTERN PetscErrorCode MatGetBlockSize(Mat,PetscInt *);
372 PETSC_EXTERN PetscErrorCode MatSetBlockSize(Mat,PetscInt);
373 PETSC_EXTERN PetscErrorCode MatGetBlockSizes(Mat,PetscInt *,PetscInt *);
374 PETSC_EXTERN PetscErrorCode MatSetBlockSizes(Mat,PetscInt,PetscInt);
375 PETSC_EXTERN PetscErrorCode MatSetBlockSizesFromMats(Mat,Mat,Mat);
376 
377 PETSC_EXTERN PetscErrorCode MatMult(Mat,Vec,Vec);
378 PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat,Vec,Vec);
379 PETSC_EXTERN PetscErrorCode MatMultAdd(Mat,Vec,Vec,Vec);
380 PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat,Vec,Vec);
381 PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat,Vec,Vec);
382 PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat,Mat,PetscReal,PetscBool *);
383 PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat,Mat,PetscReal,PetscBool *);
384 PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat,Vec,Vec,Vec);
385 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat,Vec,Vec,Vec);
386 PETSC_EXTERN PetscErrorCode MatMultConstrained(Mat,Vec,Vec);
387 PETSC_EXTERN PetscErrorCode MatMultTransposeConstrained(Mat,Vec,Vec);
388 PETSC_EXTERN PetscErrorCode MatMatSolve(Mat,Mat,Mat);
389 PETSC_EXTERN PetscErrorCode MatResidual(Mat,Vec,Vec,Vec);
390 
391 /*E
392     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
393   its numerical values copied over or just its nonzero structure.
394 
395     Level: beginner
396 
397    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
398 
399 $   MAT_SHARE_NONZERO_PATTERN - the i and j arrays in the new matrix will be shared with the original matrix
400 $                               this also triggers the MAT_DO_NOT_COPY_VALUES option. This is used when you
401 $                               have several matrices with the same nonzero pattern.
402 
403 .seealso: MatDuplicate()
404 E*/
405 typedef enum {MAT_DO_NOT_COPY_VALUES,MAT_COPY_VALUES,MAT_SHARE_NONZERO_PATTERN} MatDuplicateOption;
406 
407 PETSC_EXTERN PetscErrorCode MatConvert(Mat,MatType,MatReuse,Mat*);
408 PETSC_EXTERN PetscErrorCode MatDuplicate(Mat,MatDuplicateOption,Mat*);
409 
410 
411 PETSC_EXTERN PetscErrorCode MatCopy(Mat,Mat,MatStructure);
412 PETSC_EXTERN PetscErrorCode MatView(Mat,PetscViewer);
413 PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat,PetscReal,PetscBool *);
414 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat,PetscBool *);
415 PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat,PetscReal,PetscBool *);
416 PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat,PetscBool *,PetscBool *);
417 PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat,PetscBool *,PetscBool *);
418 PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat,PetscBool  *,PetscInt *);
419 PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);
420 
421 PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
422 PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
423 PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
424 PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
425 
426 /*S
427      MatInfo - Context of matrix information, used with MatGetInfo()
428 
429    In Fortran this is simply a double precision array of dimension MAT_INFO_SIZE
430 
431    Level: intermediate
432 
433   Concepts: matrix^nonzero information
434 
435 .seealso:  MatGetInfo(), MatInfoType
436 S*/
437 typedef struct {
438   PetscLogDouble block_size;                         /* block size */
439   PetscLogDouble nz_allocated,nz_used,nz_unneeded;   /* number of nonzeros */
440   PetscLogDouble memory;                             /* memory allocated */
441   PetscLogDouble assemblies;                         /* number of matrix assemblies called */
442   PetscLogDouble mallocs;                            /* number of mallocs during MatSetValues() */
443   PetscLogDouble fill_ratio_given,fill_ratio_needed; /* fill ratio for LU/ILU */
444   PetscLogDouble factor_mallocs;                     /* number of mallocs during factorization */
445 } MatInfo;
446 
447 /*E
448     MatInfoType - Indicates if you want information about the local part of the matrix,
449      the entire parallel matrix or the maximum over all the local parts.
450 
451     Level: beginner
452 
453    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
454 
455 .seealso: MatGetInfo(), MatInfo
456 E*/
457 typedef enum {MAT_LOCAL=1,MAT_GLOBAL_MAX=2,MAT_GLOBAL_SUM=3} MatInfoType;
458 PETSC_EXTERN PetscErrorCode MatGetInfo(Mat,MatInfoType,MatInfo*);
459 PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat,Vec);
460 PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat,Vec,PetscInt[]);
461 PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat,Vec,PetscInt[]);
462 PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat,Vec,PetscInt[]);
463 PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat,Vec,PetscInt[]);
464 PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat,Vec);
465 PETSC_EXTERN PetscErrorCode MatTranspose(Mat,MatReuse,Mat*);
466 PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat,MatReuse,Mat*);
467 PETSC_EXTERN PetscErrorCode MatPermute(Mat,IS,IS,Mat*);
468 PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat,Vec,Vec);
469 PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat,Vec,InsertMode);
470 
471 PETSC_EXTERN PetscErrorCode MatEqual(Mat,Mat,PetscBool*);
472 PETSC_EXTERN PetscErrorCode MatMultEqual(Mat,Mat,PetscInt,PetscBool*);
473 PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat,Mat,PetscInt,PetscBool*);
474 PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat,Mat,PetscInt,PetscBool*);
475 PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat,Mat,PetscInt,PetscBool*);
476 PETSC_EXTERN PetscErrorCode MatMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
477 PETSC_EXTERN PetscErrorCode MatTransposeMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
478 
479 PETSC_EXTERN PetscErrorCode MatNorm(Mat,NormType,PetscReal*);
480 PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat,NormType,PetscReal*);
481 PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
482 PETSC_EXTERN PetscErrorCode MatZeroRows(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
483 PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat,IS,PetscScalar,Vec,Vec);
484 PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat,PetscInt,const MatStencil [],PetscScalar,Vec,Vec);
485 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat,PetscInt,const MatStencil[],PetscScalar,Vec,Vec);
486 PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
487 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat,IS,PetscScalar,Vec,Vec);
488 
489 PETSC_EXTERN PetscErrorCode MatGetSize(Mat,PetscInt*,PetscInt*);
490 PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat,PetscInt*,PetscInt*);
491 PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat,PetscInt*,PetscInt*);
492 PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat,const PetscInt**);
493 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat,PetscInt*,PetscInt*);
494 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat,const PetscInt**);
495 PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat,IS*,IS*);
496 
497 PETSC_EXTERN PetscErrorCode MatCreateSubMatrices(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
498 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);}
499 PETSC_EXTERN PetscErrorCode MatCreateSubMatricesMPI(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
500 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);}
501 PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt,Mat *[]);
502 PETSC_EXTERN PetscErrorCode MatDestroySubMatrices(PetscInt,Mat *[]);
503 PETSC_EXTERN PetscErrorCode MatCreateSubMatrix(Mat,IS,IS,MatReuse,Mat *);
504 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);}
505 PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat,IS,IS,Mat*);
506 PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat,IS,IS,Mat*);
507 PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat,Mat*);
508 PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat*);
509 
510 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm,Mat,PetscInt,PetscInt,MatReuse,Mat*);
511 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm,Mat,PetscInt,PetscInt,Mat*);
512 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat,Mat);
513 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat,MatReuse,Mat*);
514 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat,MatReuse,IS*,IS*,Mat*);
515 PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat,Mat,MatReuse,IS*,IS*,Mat*);
516 PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *,const PetscInt *[]);
517 
518 PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat,PetscInt,IS[],PetscInt);
519 PETSC_EXTERN PetscErrorCode MatIncreaseOverlapSplit(Mat mat,PetscInt n,IS is[],PetscInt ov);
520 PETSC_EXTERN PetscErrorCode MatMPIAIJSetUseScalableIncreaseOverlap(Mat,PetscBool);
521 
522 PETSC_EXTERN PetscErrorCode MatMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
523 PETSC_EXTERN PetscErrorCode MatMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
524 PETSC_EXTERN PetscErrorCode MatMatMultNumeric(Mat,Mat,Mat);
525 
526 PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
527 PETSC_EXTERN PetscErrorCode MatGalerkin(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
528 
529 PETSC_EXTERN PetscErrorCode MatPtAP(Mat,Mat,MatReuse,PetscReal,Mat*);
530 PETSC_EXTERN PetscErrorCode MatPtAPSymbolic(Mat,Mat,PetscReal,Mat*);
531 PETSC_EXTERN PetscErrorCode MatPtAPNumeric(Mat,Mat,Mat);
532 PETSC_EXTERN PetscErrorCode MatRARt(Mat,Mat,MatReuse,PetscReal,Mat*);
533 PETSC_EXTERN PetscErrorCode MatRARtSymbolic(Mat,Mat,PetscReal,Mat*);
534 PETSC_EXTERN PetscErrorCode MatRARtNumeric(Mat,Mat,Mat);
535 
536 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
537 PETSC_EXTERN PetscErrorCode MatTransposetMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
538 PETSC_EXTERN PetscErrorCode MatTransposetMatMultNumeric(Mat,Mat,Mat);
539 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat,Mat,MatReuse,PetscReal,Mat*);
540 PETSC_EXTERN PetscErrorCode MatMatTransposeMultSymbolic(Mat,Mat,PetscReal,Mat*);
541 PETSC_EXTERN PetscErrorCode MatMatTransposeMultNumeric(Mat,Mat,Mat);
542 
543 PETSC_EXTERN PetscErrorCode MatAXPY(Mat,PetscScalar,Mat,MatStructure);
544 PETSC_EXTERN PetscErrorCode MatAYPX(Mat,PetscScalar,Mat,MatStructure);
545 
546 PETSC_EXTERN PetscErrorCode MatScale(Mat,PetscScalar);
547 PETSC_EXTERN PetscErrorCode MatShift(Mat,PetscScalar);
548 
549 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
550 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
551 PETSC_EXTERN PetscErrorCode MatGetLayouts(Mat,PetscLayout*,PetscLayout*);
552 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
553 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
554 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
555 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
556 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
557 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
558 
559 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat,PetscInt,PetscInt);
560 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat,PetscInt*,PetscInt*,PetscInt*,PetscInt*);
561 
562 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat,Vec,Vec);
563 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat,Vec,Vec,Vec);
564 PETSC_EXTERN PetscErrorCode MatRestrict(Mat,Vec,Vec);
565 PETSC_EXTERN PetscErrorCode MatCreateVecs(Mat,Vec*,Vec*);
566 PETSC_DEPRECATED("Use MatCreateVecs()") PETSC_STATIC_INLINE PetscErrorCode MatGetVecs(Mat mat,Vec *x,Vec *y) {return MatCreateVecs(mat,x,y);}
567 PETSC_EXTERN PetscErrorCode MatCreateRedundantMatrix(Mat,PetscInt,MPI_Comm,MatReuse,Mat*);
568 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat,MPI_Comm,MatReuse,Mat*);
569 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat,IS*);
570 PETSC_EXTERN PetscErrorCode MatFindOffBlockDiagonalEntries(Mat,IS*);
571 PETSC_EXTERN PetscErrorCode MatCreateMPIMatConcatenateSeqMat(MPI_Comm,Mat,PetscInt,MatReuse,Mat*);
572 
573 /*MC
574    MatSetValue - Set a single entry into a matrix.
575 
576    Not collective
577 
578    Synopsis:
579      #include <petscmat.h>
580      PetscErrorCode MatSetValue(Mat m,PetscInt row,PetscInt col,PetscScalar value,InsertMode mode)
581 
582    Input Parameters:
583 +  m - the matrix
584 .  row - the row location of the entry
585 .  col - the column location of the entry
586 .  value - the value to insert
587 -  mode - either INSERT_VALUES or ADD_VALUES
588 
589    Notes:
590    For efficiency one should use MatSetValues() and set several or many
591    values simultaneously if possible.
592 
593    Level: beginner
594 
595 .seealso: MatSetValues(), MatSetValueLocal()
596 M*/
597 PETSC_STATIC_INLINE PetscErrorCode MatSetValue(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValues(v,1,&i,1,&j,&va,mode);}
598 
599 PETSC_STATIC_INLINE PetscErrorCode MatGetValue(Mat v,PetscInt i,PetscInt j,PetscScalar *va) {return MatGetValues(v,1,&i,1,&j,va);}
600 
601 PETSC_STATIC_INLINE PetscErrorCode MatSetValueLocal(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValuesLocal(v,1,&i,1,&j,&va,mode);}
602 
603 /*MC
604    MatPreallocateInitialize - Begins the block of code that will count the number of nonzeros per
605        row in a matrix providing the data that one can use to correctly preallocate the matrix.
606 
607    Synopsis:
608    #include <petscmat.h>
609    PetscErrorCode MatPreallocateInitialize(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
610 
611    Collective on MPI_Comm
612 
613    Input Parameters:
614 +  comm - the communicator that will share the eventually allocated matrix
615 .  nrows - the number of LOCAL rows in the matrix
616 -  ncols - the number of LOCAL columns in the matrix
617 
618    Output Parameters:
619 +  dnz - the array that will be passed to the matrix preallocation routines
620 -  ozn - the other array passed to the matrix preallocation routines
621 
622    Level: intermediate
623 
624    Notes:
625     See Users-Manual: ch_performance for more details.
626 
627    Do not malloc or free dnz and onz, that is handled internally by these routines
628 
629    Use MatPreallocateInitializeSymmetric() for symmetric matrices (MPISBAIJ matrices)
630 
631    This is a MACRO not a function because it has a leading { that is closed by PetscPreallocateFinalize().
632 
633   Concepts: preallocation^Matrix
634 
635 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
636           MatPreallocateInitializeSymmetric(), MatPreallocateSymmetricSetLocalBlock()
637 M*/
638 #define MatPreallocateInitialize(comm,nrows,ncols,dnz,onz) 0; \
639 { \
640   PetscErrorCode _4_ierr; PetscInt __nrows = (nrows),__ctmp = (ncols),__rstart,__start,__end; \
641   _4_ierr = PetscCalloc2(__nrows,&dnz,__nrows,&onz);CHKERRQ(_4_ierr); \
642   __start = 0; __end = __start;                                         \
643   _4_ierr = MPI_Scan(&__ctmp,&__end,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __start = __end - __ctmp;\
644   _4_ierr = MPI_Scan(&__nrows,&__rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __nrows;
645 
646 /*MC
647    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
648        inserted using a local number of the rows and columns
649 
650    Synopsis:
651    #include <petscmat.h>
652    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
653 
654    Not Collective
655 
656    Input Parameters:
657 +  map - the row mapping from local numbering to global numbering
658 .  nrows - the number of rows indicated
659 .  rows - the indices of the rows
660 .  cmap - the column mapping from local to global numbering
661 .  ncols - the number of columns in the matrix
662 .  cols - the columns indicated
663 .  dnz - the array that will be passed to the matrix preallocation routines
664 -  ozn - the other array passed to the matrix preallocation routines
665 
666    Level: intermediate
667 
668    Notes:
669     See Users-Manual: ch_performance for more details.
670 
671    Do not malloc or free dnz and onz, that is handled internally by these routines
672 
673   Concepts: preallocation^Matrix
674 
675 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
676           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocalRemoveDups()
677 M*/
678 #define MatPreallocateSetLocal(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
679 {\
680   PetscInt __l;\
681   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
682   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
683   for (__l=0;__l<nrows;__l++) {\
684     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
685   }\
686 }
687 
688 /*MC
689    MatPreallocateSetLocalRemoveDups - Indicates the locations (rows and columns) in the matrix where nonzeros will be
690        inserted using a local number of the rows and columns. This version removes any duplicate columns in cols
691 
692    Synopsis:
693    #include <petscmat.h>
694    PetscErrorCode MatPreallocateSetLocalRemoveDups(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
695 
696    Not Collective
697 
698    Input Parameters:
699 +  map - the row mapping from local numbering to global numbering
700 .  nrows - the number of rows indicated
701 .  rows - the indices of the rows (these values are mapped to the global values)
702 .  cmap - the column mapping from local to global numbering
703 .  ncols - the number of columns in the matrix   (this value will be changed if duplicate columns are found)
704 .  cols - the columns indicated (these values are mapped to the global values, they are then sorted and duplicates removed)
705 .  dnz - the array that will be passed to the matrix preallocation routines
706 -  ozn - the other array passed to the matrix preallocation routines
707 
708    Level: intermediate
709 
710    Notes:
711     See Users-Manual: ch_performance for more details.
712 
713    Do not malloc or free dnz and onz, that is handled internally by these routines
714 
715   Concepts: preallocation^Matrix
716 
717 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
718           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
719 M*/
720 #define MatPreallocateSetLocalRemoveDups(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
721 {\
722   PetscInt __l;\
723   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
724   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
725   _4_ierr = PetscSortRemoveDupsInt(&ncols,cols);CHKERRQ(_4_ierr);\
726   for (__l=0;__l<nrows;__l++) {\
727     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
728   }\
729 }
730 
731 /*MC
732    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
733        inserted using a local number of the rows and columns
734 
735    Synopsis:
736    #include <petscmat.h>
737    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
738 
739    Not Collective
740 
741    Input Parameters:
742 +  map - the row mapping from local numbering to global numbering
743 .  nrows - the number of rows indicated
744 .  rows - the indices of the rows
745 .  cmap - the column mapping from local to global numbering
746 .  ncols - the number of columns in the matrix
747 .  cols - the columns indicated
748 .  dnz - the array that will be passed to the matrix preallocation routines
749 -  ozn - the other array passed to the matrix preallocation routines
750 
751    Level: intermediate
752 
753    Notes:
754     See Users-Manual: ch_performance for more details.
755 
756    Do not malloc or free dnz and onz, that is handled internally by these routines
757 
758   Concepts: preallocation^Matrix
759 
760 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
761           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock()
762 M*/
763 #define MatPreallocateSetLocalBlock(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
764 {\
765   PetscInt __l;\
766   _4_ierr = ISLocalToGlobalMappingApplyBlock(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
767   _4_ierr = ISLocalToGlobalMappingApplyBlock(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
768   for (__l=0;__l<nrows;__l++) {\
769     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
770   }\
771 }
772 
773 /*MC
774    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
775        inserted using a local number of the rows and columns
776 
777    Synopsis:
778    #include <petscmat.h>
779    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
780 
781    Not Collective
782 
783    Input Parameters:
784 +  map - the mapping between local numbering and global numbering
785 .  nrows - the number of rows indicated
786 .  rows - the indices of the rows
787 .  ncols - the number of columns in the matrix
788 .  cols - the columns indicated
789 .  dnz - the array that will be passed to the matrix preallocation routines
790 -  ozn - the other array passed to the matrix preallocation routines
791 
792    Level: intermediate
793 
794    Notes:
795     See Users-Manual: ch_performance for more details.
796 
797    Do not malloc or free dnz and onz that is handled internally by these routines
798 
799   Concepts: preallocation^Matrix
800 
801 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateInitialize(),
802           MatPreallocateInitialize(),  MatPreallocateSetLocal()
803 M*/
804 #define MatPreallocateSymmetricSetLocalBlock(map,nrows,rows,ncols,cols,dnz,onz) 0;\
805 {\
806   PetscInt __l;\
807   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
808   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
809   for (__l=0;__l<nrows;__l++) {\
810     _4_ierr = MatPreallocateSymmetricSetBlock((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
811   }\
812 }
813 /*MC
814    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
815        inserted using a local number of the rows and columns
816 
817    Synopsis:
818    #include <petscmat.h>
819    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
820 
821    Not Collective
822 
823    Input Parameters:
824 +  row - the row
825 .  ncols - the number of columns in the matrix
826 -  cols - the columns indicated
827 
828    Output Parameters:
829 +  dnz - the array that will be passed to the matrix preallocation routines
830 -  ozn - the other array passed to the matrix preallocation routines
831 
832    Level: intermediate
833 
834    Notes:
835     See Users-Manual: ch_performance for more details.
836 
837    Do not malloc or free dnz and onz that is handled internally by these routines
838 
839    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
840 
841   Concepts: preallocation^Matrix
842 
843 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
844           MatPreallocateInitialize(), MatPreallocateSetLocal()
845 M*/
846 #define MatPreallocateSet(row,nc,cols,dnz,onz) 0;\
847 { PetscInt __i; \
848   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);\
849   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);\
850   for (__i=0; __i<nc; __i++) {\
851     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
852     else dnz[row - __rstart]++;\
853   }\
854 }
855 
856 /*MC
857    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
858        inserted using a local number of the rows and columns
859 
860    Synopsis:
861    #include <petscmat.h>
862    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
863 
864    Not Collective
865 
866    Input Parameters:
867 +  nrows - the number of rows indicated
868 .  rows - the indices of the rows
869 .  ncols - the number of columns in the matrix
870 .  cols - the columns indicated
871 .  dnz - the array that will be passed to the matrix preallocation routines
872 -  ozn - the other array passed to the matrix preallocation routines
873 
874    Level: intermediate
875 
876    Notes:
877     See Users-Manual: ch_performance for more details.
878 
879    Do not malloc or free dnz and onz that is handled internally by these routines
880 
881    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
882 
883   Concepts: preallocation^Matrix
884 
885 .seealso: MatPreallocateFinalize(), MatPreallocateSet(),  MatPreallocateInitialize(),
886           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
887 M*/
888 #define MatPreallocateSymmetricSetBlock(row,nc,cols,dnz,onz) 0;\
889 { PetscInt __i; \
890   for (__i=0; __i<nc; __i++) {\
891     if (cols[__i] >= __end) onz[row - __rstart]++; \
892     else if (cols[__i] >= row) dnz[row - __rstart]++;\
893   }\
894 }
895 
896 /*MC
897    MatPreallocateLocation -  An alternative to MatPreallocationSet() that puts the nonzero locations into the matrix if it exists
898 
899    Synopsis:
900    #include <petscmat.h>
901    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
902 
903    Not Collective
904 
905    Input Parameters:
906 .  A - matrix
907 .  row - row where values exist (must be local to this process)
908 .  ncols - number of columns
909 .  cols - columns with nonzeros
910 .  dnz - the array that will be passed to the matrix preallocation routines
911 -  ozn - the other array passed to the matrix preallocation routines
912 
913    Level: intermediate
914 
915    Notes:
916     See Users-Manual: ch_performance for more details.
917 
918    Do not malloc or free dnz and onz that is handled internally by these routines
919 
920    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
921 
922   Concepts: preallocation^Matrix
923 
924 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
925           MatPreallocateSymmetricSetLocalBlock()
926 M*/
927 #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);}
928 
929 
930 /*MC
931    MatPreallocateFinalize - Ends the block of code that will count the number of nonzeros per
932        row in a matrix providing the data that one can use to correctly preallocate the matrix.
933 
934    Synopsis:
935    #include <petscmat.h>
936    PetscErrorCode MatPreallocateFinalize(PetscInt *dnz, PetscInt *onz)
937 
938    Collective on MPI_Comm
939 
940    Input Parameters:
941 +  dnz - the array that was be passed to the matrix preallocation routines
942 -  ozn - the other array passed to the matrix preallocation routines
943 
944    Level: intermediate
945 
946    Notes:
947     See Users-Manual: ch_performance for more details.
948 
949    Do not malloc or free dnz and onz that is handled internally by these routines
950 
951    This is a MACRO not a function because it closes the { started in MatPreallocateInitialize().
952 
953   Concepts: preallocation^Matrix
954 
955 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
956           MatPreallocateSymmetricSetLocalBlock()
957 M*/
958 #define MatPreallocateFinalize(dnz,onz) 0;_4_ierr = PetscFree2(dnz,onz);CHKERRQ(_4_ierr);}
959 
960 /* Routines unique to particular data structures */
961 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat,void *);
962 
963 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat,IS*,IS*);
964 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat,PetscInt *,PetscInt *[],PetscInt *);
965 
966 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat,PetscInt[]);
967 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat,PetscInt[]);
968 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
969 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
970 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
971 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*,PetscInt,PetscBool);
972 
973 #define MAT_SKIP_ALLOCATION -4
974 
975 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
976 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
977 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat,PetscInt,const PetscInt[]);
978 
979 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
980 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
981 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
982 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat,const PetscInt [],const PetscInt [],const PetscScalar []);
983 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
984 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]);
985 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
986 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat,PetscInt[],PetscInt[],PetscInt[]);
987 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
988 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
989 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
990 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
991 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat,Mat*);
992 
993 PETSC_EXTERN PetscErrorCode MatISSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
994 PETSC_EXTERN PetscErrorCode MatISSetUpSF(Mat);
995 PETSC_EXTERN PetscErrorCode MatSeqDenseSetLDA(Mat,PetscInt);
996 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat,Mat*);
997 
998 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
999 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
1000 
1001 PETSC_EXTERN PetscErrorCode MatDAADSetCtx(Mat,void*);
1002 
1003 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat,IS*);
1004 PETSC_EXTERN PetscErrorCode MatFindZeroRows(Mat,IS*);
1005 /*
1006   These routines are not usually accessed directly, rather solving is
1007   done through the KSP and PC interfaces.
1008 */
1009 
1010 /*J
1011     MatOrderingType - String with the name of a PETSc matrix ordering
1012 
1013    Level: beginner
1014 
1015 .seealso: MatGetOrdering()
1016 J*/
1017 typedef const char* MatOrderingType;
1018 #define MATORDERINGNATURAL     "natural"
1019 #define MATORDERINGND          "nd"
1020 #define MATORDERING1WD         "1wd"
1021 #define MATORDERINGRCM         "rcm"
1022 #define MATORDERINGQMD         "qmd"
1023 #define MATORDERINGROWLENGTH   "rowlength"
1024 #define MATORDERINGWBM         "wbm"
1025 #define MATORDERINGSPECTRAL    "spectral"
1026 #define MATORDERINGAMD         "amd"            /* only works if UMFPACK is installed with PETSc */
1027 
1028 PETSC_EXTERN PetscErrorCode MatGetOrdering(Mat,MatOrderingType,IS*,IS*);
1029 PETSC_EXTERN PetscErrorCode MatGetOrderingList(PetscFunctionList*);
1030 PETSC_EXTERN PetscErrorCode MatOrderingRegister(const char[],PetscErrorCode(*)(Mat,MatOrderingType,IS*,IS*));
1031 PETSC_EXTERN PetscFunctionList MatOrderingList;
1032 
1033 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
1034 PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat,PetscReal,PetscBool,Mat*);
1035 
1036 /*S
1037     MatFactorShiftType - Numeric Shift.
1038 
1039    Level: beginner
1040 
1041 S*/
1042 typedef enum {MAT_SHIFT_NONE,MAT_SHIFT_NONZERO,MAT_SHIFT_POSITIVE_DEFINITE,MAT_SHIFT_INBLOCKS} MatFactorShiftType;
1043 PETSC_EXTERN const char *const MatFactorShiftTypes[];
1044 PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];
1045 
1046 /*S
1047     MatFactorError - indicates what type of error in matrix factor
1048 
1049     Level: beginner
1050 
1051     Developer Notes: Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1052 
1053 .seealso: MatGetFactor()
1054 S*/
1055 typedef enum {MAT_FACTOR_NOERROR,MAT_FACTOR_STRUCT_ZEROPIVOT,MAT_FACTOR_NUMERIC_ZEROPIVOT,MAT_FACTOR_OUTMEMORY,MAT_FACTOR_OTHER} MatFactorError;
1056 
1057 PETSC_EXTERN PetscErrorCode MatFactorGetError(Mat,MatFactorError*);
1058 PETSC_EXTERN PetscErrorCode MatFactorClearError(Mat);
1059 PETSC_EXTERN PetscErrorCode MatFactorGetErrorZeroPivot(Mat,PetscReal*,PetscInt*);
1060 
1061 /*S
1062    MatFactorInfo - Data passed into the matrix factorization routines, and information about the resulting factorization
1063 
1064    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE, that is use
1065 $     MatFactorInfo  info(MAT_FACTORINFO_SIZE)
1066 
1067    Notes: These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
1068 
1069       You can use MatFactorInfoInitialize() to set default values.
1070 
1071    Level: developer
1072 
1073 .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor(),
1074           MatFactorInfoInitialize()
1075 
1076 S*/
1077 typedef struct {
1078   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
1079   PetscReal     usedt;
1080   PetscReal     dt;             /* drop tolerance */
1081   PetscReal     dtcol;          /* tolerance for pivoting */
1082   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
1083   PetscReal     fill;           /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1084   PetscReal     levels;         /* ICC/ILU(levels) */
1085   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1086                                    factorization may be faster if do not pivot */
1087   PetscReal     zeropivot;      /* pivot is called zero if less than this */
1088   PetscReal     shifttype;      /* type of shift added to matrix factor to prevent zero pivots */
1089   PetscReal     shiftamount;     /* how large the shift is */
1090 } MatFactorInfo;
1091 
1092 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo*);
1093 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat,IS,const MatFactorInfo*);
1094 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1095 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat,Mat,const MatFactorInfo*);
1096 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat,IS,IS,const MatFactorInfo*);
1097 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat,IS,IS,const MatFactorInfo*);
1098 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1099 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1100 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1101 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat,IS,const MatFactorInfo*);
1102 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat,Mat,const MatFactorInfo*);
1103 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat,PetscInt*,PetscInt*,PetscInt*);
1104 PETSC_EXTERN PetscErrorCode MatSolve(Mat,Vec,Vec);
1105 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat,Vec,Vec);
1106 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat,Vec,Vec);
1107 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat,Vec,Vec,Vec);
1108 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat,Vec,Vec);
1109 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
1110 PETSC_EXTERN PetscErrorCode MatSolves(Mat,Vecs,Vecs);
1111 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
1112 
1113 typedef enum {MAT_FACTOR_SCHUR_UNFACTORED, MAT_FACTOR_SCHUR_FACTORED, MAT_FACTOR_SCHUR_INVERTED} MatFactorSchurStatus;
1114 PETSC_EXTERN PetscErrorCode MatFactorSetSchurIS(Mat,IS);
1115 PETSC_EXTERN PetscErrorCode MatFactorGetSchurComplement(Mat,Mat*,MatFactorSchurStatus*);
1116 PETSC_EXTERN PetscErrorCode MatFactorRestoreSchurComplement(Mat,Mat*,MatFactorSchurStatus);
1117 PETSC_EXTERN PetscErrorCode MatFactorInvertSchurComplement(Mat);
1118 PETSC_EXTERN PetscErrorCode MatFactorCreateSchurComplement(Mat,Mat*,MatFactorSchurStatus*);
1119 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplement(Mat,Vec,Vec);
1120 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplementTranspose(Mat,Vec,Vec);
1121 PETSC_EXTERN PetscErrorCode MatFactorFactorizeSchurComplement(Mat);
1122 PETSC_EXTERN PetscErrorCode MatFactorSetSchurComplementSolverType(Mat,PetscInt);
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