xref: /petsc/include/petscmat.h (revision 7cfe41e4335c63f3e5ac144fc66f522fd65ad019)
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 MATHYPRESTRUCT     "hyprestruct"
78 #define MATHYPRESSTRUCT    "hypresstruct"
79 #define MATSUBMATRIX       "submatrix"
80 #define MATLOCALREF        "localref"
81 #define MATNEST            "nest"
82 #define MATPREALLOCATOR    "preallocator"
83 
84 /*J
85     MatSolverPackage - String with the name of a PETSc matrix solver type.
86 
87     For example: "petsc" indicates what PETSc provides, "superlu_dist" the parallel SuperLU_DIST package etc
88 
89    Level: beginner
90 
91 .seealso: MatGetFactor(), Mat, MatSetType(), MatType
92 J*/
93 #define MatSolverPackage char*
94 #define MATSOLVERSUPERLU      "superlu"
95 #define MATSOLVERSUPERLU_DIST "superlu_dist"
96 #define MATSOLVERSTRUMPACK    "strumpack"
97 #define MATSOLVERUMFPACK      "umfpack"
98 #define MATSOLVERCHOLMOD      "cholmod"
99 #define MATSOLVERKLU          "klu"
100 #define MATSOLVERCLIQUE       "clique"
101 #define MATSOLVERELEMENTAL    "elemental"
102 #define MATSOLVERESSL         "essl"
103 #define MATSOLVERLUSOL        "lusol"
104 #define MATSOLVERMUMPS        "mumps"
105 #define MATSOLVERMKL_PARDISO  "mkl_pardiso"
106 #define MATSOLVERMKL_CPARDISO "mkl_cpardiso"
107 #define MATSOLVERPASTIX       "pastix"
108 #define MATSOLVERMATLAB       "matlab"
109 #define MATSOLVERPETSC        "petsc"
110 #define MATSOLVERBAS          "bas"
111 #define MATSOLVERCUSPARSE     "cusparse"
112 
113 /*E
114     MatFactorType - indicates what type of factorization is requested
115 
116     Level: beginner
117 
118    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
119 
120 .seealso: MatSolverPackage, MatGetFactor()
121 E*/
122 typedef enum {MAT_FACTOR_NONE, MAT_FACTOR_LU, MAT_FACTOR_CHOLESKY, MAT_FACTOR_ILU, MAT_FACTOR_ICC,MAT_FACTOR_ILUDT} MatFactorType;
123 PETSC_EXTERN const char *const MatFactorTypes[];
124 
125 PETSC_EXTERN PetscErrorCode MatGetFactor(Mat,const MatSolverPackage,MatFactorType,Mat*);
126 PETSC_EXTERN PetscErrorCode MatGetFactorAvailable(Mat,const MatSolverPackage,MatFactorType,PetscBool *);
127 PETSC_EXTERN PetscErrorCode MatFactorGetSolverPackage(Mat,const MatSolverPackage*);
128 PETSC_EXTERN PetscErrorCode MatGetFactorType(Mat,MatFactorType*);
129 PETSC_EXTERN PetscErrorCode MatSolverPackageRegister(const MatSolverPackage,const MatType,MatFactorType,PetscErrorCode(*)(Mat,MatFactorType,Mat*));
130 PETSC_EXTERN PetscErrorCode MatSolverPackageGet(const MatSolverPackage,const MatType,MatFactorType,PetscBool*,PetscBool*,PetscErrorCode (**)(Mat,MatFactorType,Mat*));
131 
132 /* Logging support */
133 #define    MAT_FILE_CLASSID 1211216    /* used to indicate matrices in binary files */
134 PETSC_EXTERN PetscClassId MAT_CLASSID;
135 PETSC_EXTERN PetscClassId MAT_COLORING_CLASSID;
136 PETSC_EXTERN PetscClassId MAT_FDCOLORING_CLASSID;
137 PETSC_EXTERN PetscClassId MAT_TRANSPOSECOLORING_CLASSID;
138 PETSC_EXTERN PetscClassId MAT_PARTITIONING_CLASSID;
139 PETSC_EXTERN PetscClassId MAT_COARSEN_CLASSID;
140 PETSC_EXTERN PetscClassId MAT_NULLSPACE_CLASSID;
141 PETSC_EXTERN PetscClassId MATMFFD_CLASSID;
142 
143 /*E
144     MatReuse - Indicates if matrices obtained from a previous call to MatGetSubMatrices()
145      or MatGetSubMatrix() are to be reused to store the new matrix values. For MatConvert() is used to indicate
146      that the input matrix is to be replaced with the converted matrix.
147 
148     Level: beginner
149 
150    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
151 
152 .seealso: MatGetSubMatrices(), MatGetSubMatrix(), MatDestroyMatrices(), MatConvert()
153 E*/
154 typedef enum {MAT_INITIAL_MATRIX,MAT_REUSE_MATRIX,MAT_IGNORE_MATRIX,MAT_INPLACE_MATRIX} MatReuse;
155 
156 /*E
157     MatGetSubMatrixOption - Indicates if matrices obtained from a call to MatGetSubMatrices()
158      include the matrix values. Currently it is only used by MatGetSeqNonzerostructure().
159 
160     Level: beginner
161 
162 .seealso: MatGetSeqNonzerostructure()
163 E*/
164 typedef enum {MAT_DO_NOT_GET_VALUES,MAT_GET_VALUES} MatGetSubMatrixOption;
165 
166 PETSC_EXTERN PetscErrorCode MatInitializePackage(void);
167 
168 PETSC_EXTERN PetscErrorCode MatCreate(MPI_Comm,Mat*);
169 PETSC_EXTERN PetscErrorCode MatSetSizes(Mat,PetscInt,PetscInt,PetscInt,PetscInt);
170 PETSC_EXTERN PetscErrorCode MatSetType(Mat,MatType);
171 PETSC_EXTERN PetscErrorCode MatSetFromOptions(Mat);
172 PETSC_STATIC_INLINE PetscErrorCode MatViewFromOptions(Mat A,PetscObject obj,const char name[]) {return PetscObjectViewFromOptions((PetscObject)A,obj,name);}
173 PETSC_EXTERN PetscErrorCode MatRegister(const char[],PetscErrorCode(*)(Mat));
174 PETSC_EXTERN PetscErrorCode MatRegisterBaseName(const char[],const char[],const char[]);
175 PETSC_EXTERN PetscErrorCode MatSetOptionsPrefix(Mat,const char[]);
176 PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefix(Mat,const char[]);
177 PETSC_EXTERN PetscErrorCode MatGetOptionsPrefix(Mat,const char*[]);
178 PETSC_EXTERN PetscErrorCode MatSetErrorIfFailure(Mat,PetscBool);
179 
180 PETSC_EXTERN PetscFunctionList MatList;
181 PETSC_EXTERN PetscFunctionList MatColoringList;
182 PETSC_EXTERN PetscFunctionList MatPartitioningList;
183 
184 /*E
185     MatStructure - Indicates if two matrices have the same nonzero structure
186 
187     Level: beginner
188 
189    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
190 
191 .seealso: MatCopy(), MatAXPY()
192 E*/
193 typedef enum {DIFFERENT_NONZERO_PATTERN,SUBSET_NONZERO_PATTERN,SAME_NONZERO_PATTERN} MatStructure;
194 
195 PETSC_EXTERN PetscErrorCode MatCreateSeqDense(MPI_Comm,PetscInt,PetscInt,PetscScalar[],Mat*);
196 PETSC_EXTERN PetscErrorCode MatCreateDense(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar[],Mat*);
197 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
198 PETSC_EXTERN PetscErrorCode MatCreateAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
199 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
200 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSplitArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],PetscInt[],PetscInt[],PetscScalar[],Mat*);
201 
202 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
203 PETSC_EXTERN PetscErrorCode MatCreateBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
204 PETSC_EXTERN PetscErrorCode MatCreateMPIBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat*);
205 
206 PETSC_EXTERN PetscErrorCode MatCreateMPIAdj(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscInt[],Mat*);
207 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
208 
209 PETSC_EXTERN PetscErrorCode MatCreateSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
210 PETSC_EXTERN PetscErrorCode MatCreateMPISBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
211 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
212 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
213 PETSC_EXTERN PetscErrorCode MatXAIJSetPreallocation(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscInt[],const PetscInt[]);
214 
215 PETSC_EXTERN PetscErrorCode MatCreateShell(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,void *,Mat*);
216 PETSC_EXTERN PetscErrorCode MatCreateNormal(Mat,Mat*);
217 PETSC_EXTERN PetscErrorCode MatCreateNormalHermitian(Mat,Mat*);
218 PETSC_EXTERN PetscErrorCode MatCreateLRC(Mat,Mat,Mat,Mat*);
219 PETSC_EXTERN PetscErrorCode MatCreateIS(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,ISLocalToGlobalMapping,ISLocalToGlobalMapping,Mat*);
220 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
221 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
222 
223 PETSC_EXTERN PetscErrorCode MatCreateScatter(MPI_Comm,VecScatter,Mat*);
224 PETSC_EXTERN PetscErrorCode MatScatterSetVecScatter(Mat,VecScatter);
225 PETSC_EXTERN PetscErrorCode MatScatterGetVecScatter(Mat,VecScatter*);
226 PETSC_EXTERN PetscErrorCode MatCreateBlockMat(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt*,Mat*);
227 PETSC_EXTERN PetscErrorCode MatCompositeAddMat(Mat,Mat);
228 PETSC_EXTERN PetscErrorCode MatCompositeMerge(Mat);
229 PETSC_EXTERN PetscErrorCode MatCreateComposite(MPI_Comm,PetscInt,const Mat*,Mat*);
230 typedef enum {MAT_COMPOSITE_ADDITIVE,MAT_COMPOSITE_MULTIPLICATIVE} MatCompositeType;
231 PETSC_EXTERN PetscErrorCode MatCompositeSetType(Mat,MatCompositeType);
232 
233 PETSC_EXTERN PetscErrorCode MatCreateFFT(MPI_Comm,PetscInt,const PetscInt[],MatType,Mat*);
234 PETSC_EXTERN PetscErrorCode MatCreateSeqCUFFT(MPI_Comm,PetscInt,const PetscInt[],Mat*);
235 
236 PETSC_EXTERN PetscErrorCode MatCreateTranspose(Mat,Mat*);
237 PETSC_EXTERN PetscErrorCode MatCreateHermitianTranspose(Mat,Mat*);
238 PETSC_EXTERN PetscErrorCode MatCreateSubMatrix(Mat,IS,IS,Mat*);
239 PETSC_EXTERN PetscErrorCode MatSubMatrixUpdate(Mat,Mat,IS,IS);
240 PETSC_EXTERN PetscErrorCode MatCreateLocalRef(Mat,IS,IS,Mat*);
241 
242 PETSC_EXTERN PetscErrorCode MatPythonSetType(Mat,const char[]);
243 
244 PETSC_EXTERN PetscErrorCode MatSetUp(Mat);
245 PETSC_EXTERN PetscErrorCode MatDestroy(Mat*);
246 PETSC_EXTERN PetscErrorCode MatGetNonzeroState(Mat,PetscObjectState*);
247 
248 PETSC_EXTERN PetscErrorCode MatConjugate(Mat);
249 PETSC_EXTERN PetscErrorCode MatRealPart(Mat);
250 PETSC_EXTERN PetscErrorCode MatImaginaryPart(Mat);
251 PETSC_EXTERN PetscErrorCode MatGetDiagonalBlock(Mat,Mat*);
252 PETSC_EXTERN PetscErrorCode MatGetTrace(Mat,PetscScalar*);
253 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonal(Mat,const PetscScalar **);
254 
255 /* ------------------------------------------------------------*/
256 PETSC_EXTERN PetscErrorCode MatSetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
257 PETSC_EXTERN PetscErrorCode MatSetValuesBlocked(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
258 PETSC_EXTERN PetscErrorCode MatSetValuesRow(Mat,PetscInt,const PetscScalar[]);
259 PETSC_EXTERN PetscErrorCode MatSetValuesRowLocal(Mat,PetscInt,const PetscScalar[]);
260 PETSC_EXTERN PetscErrorCode MatSetValuesBatch(Mat,PetscInt,PetscInt,PetscInt[],const PetscScalar[]);
261 PETSC_EXTERN PetscErrorCode MatSetRandom(Mat,PetscRandom);
262 
263 /*S
264      MatStencil - Data structure (C struct) for storing information about a single row or
265         column of a matrix as indexed on an associated grid. These are arguments to MatSetStencil() and MatSetBlockStencil()
266 
267    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).
268    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.
269 
270    For stencil access to vectors see DMDAVecGetArray(), DMDAVecGetArrayF90().
271 
272    Fortran usage is different, see MatSetValuesStencil() for details.
273 
274    Level: beginner
275 
276   Concepts: matrix; linear operator
277 
278 .seealso:  MatSetValuesStencil(), MatSetStencil(), MatSetValuesBlockedStencil(), DMDAVecGetArray(), DMDAVecGetArrayF90()
279 S*/
280 typedef struct {
281   PetscInt k,j,i,c;
282 } MatStencil;
283 
284 PETSC_EXTERN PetscErrorCode MatSetValuesStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
285 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
286 PETSC_EXTERN PetscErrorCode MatSetStencil(Mat,PetscInt,const PetscInt[],const PetscInt[],PetscInt);
287 
288 /*E
289     MatAssemblyType - Indicates if the matrix is now to be used, or if you plan
290      to continue to add or insert values to it
291 
292     Level: beginner
293 
294 .seealso: MatAssemblyBegin(), MatAssemblyEnd()
295 E*/
296 typedef enum {MAT_FLUSH_ASSEMBLY=1,MAT_FINAL_ASSEMBLY=0} MatAssemblyType;
297 PETSC_EXTERN PetscErrorCode MatAssemblyBegin(Mat,MatAssemblyType);
298 PETSC_EXTERN PetscErrorCode MatAssemblyEnd(Mat,MatAssemblyType);
299 PETSC_EXTERN PetscErrorCode MatAssembled(Mat,PetscBool *);
300 
301 
302 
303 /*E
304     MatOption - Options that may be set for a matrix and its behavior or storage
305 
306     Level: beginner
307 
308    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
309 
310    Developer Notes: Entries that are negative need not be called collectively by all processes.
311 
312 .seealso: MatSetOption()
313 E*/
314 typedef enum {MAT_OPTION_MIN = -3,
315               MAT_UNUSED_NONZERO_LOCATION_ERR = -2,
316               MAT_ROW_ORIENTED = -1,
317               MAT_SYMMETRIC = 1,
318               MAT_STRUCTURALLY_SYMMETRIC = 2,
319               MAT_NEW_DIAGONALS = 3,
320               MAT_IGNORE_OFF_PROC_ENTRIES = 4,
321               MAT_USE_HASH_TABLE = 5,
322               MAT_KEEP_NONZERO_PATTERN = 6,
323               MAT_IGNORE_ZERO_ENTRIES = 7,
324               MAT_USE_INODES = 8,
325               MAT_HERMITIAN = 9,
326               MAT_SYMMETRY_ETERNAL = 10,
327               MAT_NEW_NONZERO_LOCATION_ERR = 11,
328               MAT_IGNORE_LOWER_TRIANGULAR = 12,
329               MAT_ERROR_LOWER_TRIANGULAR = 13,
330               MAT_GETROW_UPPERTRIANGULAR = 14,
331               MAT_SPD = 15,
332               MAT_NO_OFF_PROC_ZERO_ROWS = 16,
333               MAT_NO_OFF_PROC_ENTRIES = 17,
334               MAT_NEW_NONZERO_LOCATIONS = 18,
335               MAT_NEW_NONZERO_ALLOCATION_ERR = 19,
336               MAT_SUBSET_OFF_PROC_ENTRIES = 20,
337               MAT_OPTION_MAX = 21} MatOption;
338 
339 PETSC_EXTERN const char *MatOptions[];
340 PETSC_EXTERN PetscErrorCode MatSetOption(Mat,MatOption,PetscBool);
341 PETSC_EXTERN PetscErrorCode MatGetOption(Mat,MatOption,PetscBool*);
342 PETSC_EXTERN PetscErrorCode MatGetType(Mat,MatType*);
343 
344 PETSC_EXTERN PetscErrorCode MatGetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar[]);
345 PETSC_EXTERN PetscErrorCode MatGetRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
346 PETSC_EXTERN PetscErrorCode MatRestoreRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
347 PETSC_EXTERN PetscErrorCode MatGetRowUpperTriangular(Mat);
348 PETSC_EXTERN PetscErrorCode MatRestoreRowUpperTriangular(Mat);
349 PETSC_EXTERN PetscErrorCode MatGetColumnVector(Mat,Vec,PetscInt);
350 PETSC_EXTERN PetscErrorCode MatSeqAIJGetArray(Mat,PetscScalar *[]);
351 PETSC_EXTERN PetscErrorCode MatSeqAIJRestoreArray(Mat,PetscScalar *[]);
352 PETSC_EXTERN PetscErrorCode MatSeqAIJGetMaxRowNonzeros(Mat,PetscInt*);
353 PETSC_EXTERN PetscErrorCode MatSeqAIJSetValuesLocalFast(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
354 PETSC_EXTERN PetscErrorCode MatDenseGetArray(Mat,PetscScalar *[]);
355 PETSC_EXTERN PetscErrorCode MatDenseRestoreArray(Mat,PetscScalar *[]);
356 PETSC_EXTERN PetscErrorCode MatGetBlockSize(Mat,PetscInt *);
357 PETSC_EXTERN PetscErrorCode MatSetBlockSize(Mat,PetscInt);
358 PETSC_EXTERN PetscErrorCode MatGetBlockSizes(Mat,PetscInt *,PetscInt *);
359 PETSC_EXTERN PetscErrorCode MatSetBlockSizes(Mat,PetscInt,PetscInt);
360 PETSC_EXTERN PetscErrorCode MatSetBlockSizesFromMats(Mat,Mat,Mat);
361 
362 PETSC_EXTERN PetscErrorCode MatMult(Mat,Vec,Vec);
363 PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat,Vec,Vec);
364 PETSC_EXTERN PetscErrorCode MatMultAdd(Mat,Vec,Vec,Vec);
365 PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat,Vec,Vec);
366 PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat,Vec,Vec);
367 PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat,Mat,PetscReal,PetscBool *);
368 PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat,Mat,PetscReal,PetscBool *);
369 PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat,Vec,Vec,Vec);
370 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat,Vec,Vec,Vec);
371 PETSC_EXTERN PetscErrorCode MatMultConstrained(Mat,Vec,Vec);
372 PETSC_EXTERN PetscErrorCode MatMultTransposeConstrained(Mat,Vec,Vec);
373 PETSC_EXTERN PetscErrorCode MatMatSolve(Mat,Mat,Mat);
374 PETSC_EXTERN PetscErrorCode MatResidual(Mat,Vec,Vec,Vec);
375 
376 /*E
377     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
378   its numerical values copied over or just its nonzero structure.
379 
380     Level: beginner
381 
382    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
383 
384 $   MAT_SHARE_NONZERO_PATTERN - the i and j arrays in the new matrix will be shared with the original matrix
385 $                               this also triggers the MAT_DO_NOT_COPY_VALUES option. This is used when you
386 $                               have several matrices with the same nonzero pattern.
387 
388 .seealso: MatDuplicate()
389 E*/
390 typedef enum {MAT_DO_NOT_COPY_VALUES,MAT_COPY_VALUES,MAT_SHARE_NONZERO_PATTERN} MatDuplicateOption;
391 
392 PETSC_EXTERN PetscErrorCode MatConvert(Mat,MatType,MatReuse,Mat*);
393 PETSC_EXTERN PetscErrorCode MatDuplicate(Mat,MatDuplicateOption,Mat*);
394 
395 
396 PETSC_EXTERN PetscErrorCode MatCopy(Mat,Mat,MatStructure);
397 PETSC_EXTERN PetscErrorCode MatView(Mat,PetscViewer);
398 PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat,PetscReal,PetscBool *);
399 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat,PetscBool *);
400 PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat,PetscReal,PetscBool *);
401 PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat,PetscBool *,PetscBool *);
402 PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat,PetscBool *,PetscBool *);
403 PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat,PetscBool  *,PetscInt *);
404 PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);
405 
406 PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
407 PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
408 PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
409 PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
410 
411 /*S
412      MatInfo - Context of matrix information, used with MatGetInfo()
413 
414    In Fortran this is simply a double precision array of dimension MAT_INFO_SIZE
415 
416    Level: intermediate
417 
418   Concepts: matrix^nonzero information
419 
420 .seealso:  MatGetInfo(), MatInfoType
421 S*/
422 typedef struct {
423   PetscLogDouble block_size;                         /* block size */
424   PetscLogDouble nz_allocated,nz_used,nz_unneeded;   /* number of nonzeros */
425   PetscLogDouble memory;                             /* memory allocated */
426   PetscLogDouble assemblies;                         /* number of matrix assemblies called */
427   PetscLogDouble mallocs;                            /* number of mallocs during MatSetValues() */
428   PetscLogDouble fill_ratio_given,fill_ratio_needed; /* fill ratio for LU/ILU */
429   PetscLogDouble factor_mallocs;                     /* number of mallocs during factorization */
430 } MatInfo;
431 
432 /*E
433     MatInfoType - Indicates if you want information about the local part of the matrix,
434      the entire parallel matrix or the maximum over all the local parts.
435 
436     Level: beginner
437 
438    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
439 
440 .seealso: MatGetInfo(), MatInfo
441 E*/
442 typedef enum {MAT_LOCAL=1,MAT_GLOBAL_MAX=2,MAT_GLOBAL_SUM=3} MatInfoType;
443 PETSC_EXTERN PetscErrorCode MatGetInfo(Mat,MatInfoType,MatInfo*);
444 PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat,Vec);
445 PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat,Vec,PetscInt[]);
446 PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat,Vec,PetscInt[]);
447 PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat,Vec,PetscInt[]);
448 PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat,Vec,PetscInt[]);
449 PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat,Vec);
450 PETSC_EXTERN PetscErrorCode MatTranspose(Mat,MatReuse,Mat*);
451 PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat,MatReuse,Mat*);
452 PETSC_EXTERN PetscErrorCode MatPermute(Mat,IS,IS,Mat*);
453 PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat,Vec,Vec);
454 PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat,Vec,InsertMode);
455 
456 PETSC_EXTERN PetscErrorCode MatEqual(Mat,Mat,PetscBool*);
457 PETSC_EXTERN PetscErrorCode MatMultEqual(Mat,Mat,PetscInt,PetscBool*);
458 PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat,Mat,PetscInt,PetscBool*);
459 PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat,Mat,PetscInt,PetscBool*);
460 PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat,Mat,PetscInt,PetscBool*);
461 PETSC_EXTERN PetscErrorCode MatMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
462 PETSC_EXTERN PetscErrorCode MatTransposeMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
463 
464 PETSC_EXTERN PetscErrorCode MatNorm(Mat,NormType,PetscReal*);
465 PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat,NormType,PetscReal*);
466 PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
467 PETSC_EXTERN PetscErrorCode MatZeroRows(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
468 PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat,IS,PetscScalar,Vec,Vec);
469 PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat,PetscInt,const MatStencil [],PetscScalar,Vec,Vec);
470 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat,PetscInt,const MatStencil[],PetscScalar,Vec,Vec);
471 PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
472 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat,IS,PetscScalar,Vec,Vec);
473 
474 PETSC_EXTERN PetscErrorCode MatGetSize(Mat,PetscInt*,PetscInt*);
475 PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat,PetscInt*,PetscInt*);
476 PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat,PetscInt*,PetscInt*);
477 PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat,const PetscInt**);
478 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat,PetscInt*,PetscInt*);
479 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat,const PetscInt**);
480 PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat,IS*,IS*);
481 
482 PETSC_EXTERN PetscErrorCode MatGetSubMatrices(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
483 PETSC_EXTERN PetscErrorCode MatGetSubMatricesMPI(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
484 PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt,Mat *[]);
485 PETSC_EXTERN PetscErrorCode MatGetSubMatrix(Mat,IS,IS,MatReuse,Mat *);
486 PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat,IS,IS,Mat*);
487 PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat,IS,IS,Mat*);
488 PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat,Mat*);
489 PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat*);
490 
491 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm,Mat,PetscInt,PetscInt,MatReuse,Mat*);
492 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm,Mat,PetscInt,PetscInt,Mat*);
493 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat,Mat);
494 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat,MatReuse,Mat*);
495 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat,MatReuse,IS*,IS*,Mat*);
496 PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat,Mat,MatReuse,IS*,IS*,Mat*);
497 PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *,const PetscInt *[]);
498 
499 PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat,PetscInt,IS[],PetscInt);
500 PETSC_EXTERN PetscErrorCode MatIncreaseOverlapSplit(Mat mat,PetscInt n,IS is[],PetscInt ov);
501 PETSC_EXTERN PetscErrorCode MatMPIAIJSetUseScalableIncreaseOverlap(Mat,PetscBool);
502 
503 PETSC_EXTERN PetscErrorCode MatMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
504 PETSC_EXTERN PetscErrorCode MatMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
505 PETSC_EXTERN PetscErrorCode MatMatMultNumeric(Mat,Mat,Mat);
506 
507 PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
508 PETSC_EXTERN PetscErrorCode MatGalerkin(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
509 
510 PETSC_EXTERN PetscErrorCode MatPtAP(Mat,Mat,MatReuse,PetscReal,Mat*);
511 PETSC_EXTERN PetscErrorCode MatPtAPSymbolic(Mat,Mat,PetscReal,Mat*);
512 PETSC_EXTERN PetscErrorCode MatPtAPNumeric(Mat,Mat,Mat);
513 PETSC_EXTERN PetscErrorCode MatRARt(Mat,Mat,MatReuse,PetscReal,Mat*);
514 PETSC_EXTERN PetscErrorCode MatRARtSymbolic(Mat,Mat,PetscReal,Mat*);
515 PETSC_EXTERN PetscErrorCode MatRARtNumeric(Mat,Mat,Mat);
516 
517 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
518 PETSC_EXTERN PetscErrorCode MatTransposetMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
519 PETSC_EXTERN PetscErrorCode MatTransposetMatMultNumeric(Mat,Mat,Mat);
520 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat,Mat,MatReuse,PetscReal,Mat*);
521 PETSC_EXTERN PetscErrorCode MatMatTransposeMultSymbolic(Mat,Mat,PetscReal,Mat*);
522 PETSC_EXTERN PetscErrorCode MatMatTransposeMultNumeric(Mat,Mat,Mat);
523 
524 PETSC_EXTERN PetscErrorCode MatAXPY(Mat,PetscScalar,Mat,MatStructure);
525 PETSC_EXTERN PetscErrorCode MatAYPX(Mat,PetscScalar,Mat,MatStructure);
526 
527 PETSC_EXTERN PetscErrorCode MatScale(Mat,PetscScalar);
528 PETSC_EXTERN PetscErrorCode MatShift(Mat,PetscScalar);
529 
530 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
531 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
532 PETSC_EXTERN PetscErrorCode MatGetLayouts(Mat,PetscLayout*,PetscLayout*);
533 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
534 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
535 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
536 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
537 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
538 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
539 
540 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat,PetscInt,PetscInt);
541 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat,PetscInt*,PetscInt*,PetscInt*,PetscInt*);
542 
543 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat,Vec,Vec);
544 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat,Vec,Vec,Vec);
545 PETSC_EXTERN PetscErrorCode MatRestrict(Mat,Vec,Vec);
546 PETSC_EXTERN PetscErrorCode MatCreateVecs(Mat,Vec*,Vec*);
547 PETSC_DEPRECATED("Use MatCreateVecs()") PETSC_STATIC_INLINE PetscErrorCode MatGetVecs(Mat mat,Vec *x,Vec *y) {return MatCreateVecs(mat,x,y);}
548 PETSC_EXTERN PetscErrorCode MatCreateRedundantMatrix(Mat,PetscInt,MPI_Comm,MatReuse,Mat*);
549 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat,MPI_Comm,MatReuse,Mat*);
550 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat,IS*);
551 PETSC_EXTERN PetscErrorCode MatFindOffBlockDiagonalEntries(Mat,IS*);
552 PETSC_EXTERN PetscErrorCode MatCreateMPIMatConcatenateSeqMat(MPI_Comm,Mat,PetscInt,MatReuse,Mat*);
553 
554 /*MC
555    MatSetValue - Set a single entry into a matrix.
556 
557    Not collective
558 
559    Synopsis:
560      #include <petscmat.h>
561      PetscErrorCode MatSetValue(Mat m,PetscInt row,PetscInt col,PetscScalar value,InsertMode mode)
562 
563    Input Parameters:
564 +  m - the matrix
565 .  row - the row location of the entry
566 .  col - the column location of the entry
567 .  value - the value to insert
568 -  mode - either INSERT_VALUES or ADD_VALUES
569 
570    Notes:
571    For efficiency one should use MatSetValues() and set several or many
572    values simultaneously if possible.
573 
574    Level: beginner
575 
576 .seealso: MatSetValues(), MatSetValueLocal()
577 M*/
578 PETSC_STATIC_INLINE PetscErrorCode MatSetValue(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValues(v,1,&i,1,&j,&va,mode);}
579 
580 PETSC_STATIC_INLINE PetscErrorCode MatGetValue(Mat v,PetscInt i,PetscInt j,PetscScalar *va) {return MatGetValues(v,1,&i,1,&j,va);}
581 
582 PETSC_STATIC_INLINE PetscErrorCode MatSetValueLocal(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValuesLocal(v,1,&i,1,&j,&va,mode);}
583 
584 /*MC
585    MatPreallocateInitialize - Begins the block of code that will count the number of nonzeros per
586        row in a matrix providing the data that one can use to correctly preallocate the matrix.
587 
588    Synopsis:
589    #include <petscmat.h>
590    PetscErrorCode MatPreallocateInitialize(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
591 
592    Collective on MPI_Comm
593 
594    Input Parameters:
595 +  comm - the communicator that will share the eventually allocated matrix
596 .  nrows - the number of LOCAL rows in the matrix
597 -  ncols - the number of LOCAL columns in the matrix
598 
599    Output Parameters:
600 +  dnz - the array that will be passed to the matrix preallocation routines
601 -  ozn - the other array passed to the matrix preallocation routines
602 
603    Level: intermediate
604 
605    Notes:
606     See Users-Manual: ch_performance for more details.
607 
608    Do not malloc or free dnz and onz, that is handled internally by these routines
609 
610    Use MatPreallocateInitializeSymmetric() for symmetric matrices (MPISBAIJ matrices)
611 
612    This is a MACRO not a function because it has a leading { that is closed by PetscPreallocateFinalize().
613 
614   Concepts: preallocation^Matrix
615 
616 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
617           MatPreallocateInitializeSymmetric(), MatPreallocateSymmetricSetLocalBlock()
618 M*/
619 #define MatPreallocateInitialize(comm,nrows,ncols,dnz,onz) 0; \
620 { \
621   PetscErrorCode _4_ierr; PetscInt __nrows = (nrows),__ctmp = (ncols),__rstart,__start,__end; \
622   _4_ierr = PetscCalloc2(__nrows,&dnz,__nrows,&onz);CHKERRQ(_4_ierr); \
623   __start = 0; __end = __start;                                         \
624   _4_ierr = MPI_Scan(&__ctmp,&__end,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __start = __end - __ctmp;\
625   _4_ierr = MPI_Scan(&__nrows,&__rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __nrows;
626 
627 /*MC
628    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
629        inserted using a local number of the rows and columns
630 
631    Synopsis:
632    #include <petscmat.h>
633    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
634 
635    Not Collective
636 
637    Input Parameters:
638 +  map - the row mapping from local numbering to global numbering
639 .  nrows - the number of rows indicated
640 .  rows - the indices of the rows
641 .  cmap - the column mapping from local to global numbering
642 .  ncols - the number of columns in the matrix
643 .  cols - the columns indicated
644 .  dnz - the array that will be passed to the matrix preallocation routines
645 -  ozn - the other array passed to the matrix preallocation routines
646 
647    Level: intermediate
648 
649    Notes:
650     See Users-Manual: ch_performance for more details.
651 
652    Do not malloc or free dnz and onz, that is handled internally by these routines
653 
654   Concepts: preallocation^Matrix
655 
656 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
657           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock()
658 M*/
659 #define MatPreallocateSetLocal(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
660 {\
661   PetscInt __l;\
662   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
663   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
664   for (__l=0;__l<nrows;__l++) {\
665     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
666   }\
667 }
668 
669 /*MC
670    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
671        inserted using a local number of the rows and columns
672 
673    Synopsis:
674    #include <petscmat.h>
675    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
676 
677    Not Collective
678 
679    Input Parameters:
680 +  map - the row mapping from local numbering to global numbering
681 .  nrows - the number of rows indicated
682 .  rows - the indices of the rows
683 .  cmap - the column mapping from local to global numbering
684 .  ncols - the number of columns in the matrix
685 .  cols - the columns indicated
686 .  dnz - the array that will be passed to the matrix preallocation routines
687 -  ozn - the other array passed to the matrix preallocation routines
688 
689    Level: intermediate
690 
691    Notes:
692     See Users-Manual: ch_performance for more details.
693 
694    Do not malloc or free dnz and onz, that is handled internally by these routines
695 
696   Concepts: preallocation^Matrix
697 
698 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
699           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock()
700 M*/
701 #define MatPreallocateSetLocalBlock(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
702 {\
703   PetscInt __l;\
704   _4_ierr = ISLocalToGlobalMappingApplyBlock(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
705   _4_ierr = ISLocalToGlobalMappingApplyBlock(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
706   for (__l=0;__l<nrows;__l++) {\
707     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
708   }\
709 }
710 
711 /*MC
712    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
713        inserted using a local number of the rows and columns
714 
715    Synopsis:
716    #include <petscmat.h>
717    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
718 
719    Not Collective
720 
721    Input Parameters:
722 +  map - the mapping between local numbering and global numbering
723 .  nrows - the number of rows indicated
724 .  rows - the indices of the rows
725 .  ncols - the number of columns in the matrix
726 .  cols - the columns indicated
727 .  dnz - the array that will be passed to the matrix preallocation routines
728 -  ozn - the other array passed to the matrix preallocation routines
729 
730    Level: intermediate
731 
732    Notes:
733     See Users-Manual: ch_performance for more details.
734 
735    Do not malloc or free dnz and onz that is handled internally by these routines
736 
737   Concepts: preallocation^Matrix
738 
739 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateInitialize(),
740           MatPreallocateInitialize(),  MatPreallocateSetLocal()
741 M*/
742 #define MatPreallocateSymmetricSetLocalBlock(map,nrows,rows,ncols,cols,dnz,onz) 0;\
743 {\
744   PetscInt __l;\
745   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
746   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
747   for (__l=0;__l<nrows;__l++) {\
748     _4_ierr = MatPreallocateSymmetricSetBlock((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
749   }\
750 }
751 /*MC
752    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
753        inserted using a local number of the rows and columns
754 
755    Synopsis:
756    #include <petscmat.h>
757    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
758 
759    Not Collective
760 
761    Input Parameters:
762 +  row - the row
763 .  ncols - the number of columns in the matrix
764 -  cols - the columns indicated
765 
766    Output Parameters:
767 +  dnz - the array that will be passed to the matrix preallocation routines
768 -  ozn - the other array passed to the matrix preallocation routines
769 
770    Level: intermediate
771 
772    Notes:
773     See Users-Manual: ch_performance for more details.
774 
775    Do not malloc or free dnz and onz that is handled internally by these routines
776 
777    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
778 
779   Concepts: preallocation^Matrix
780 
781 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
782           MatPreallocateInitialize(), MatPreallocateSetLocal()
783 M*/
784 #define MatPreallocateSet(row,nc,cols,dnz,onz) 0;\
785 { PetscInt __i; \
786   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);\
787   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);\
788   for (__i=0; __i<nc; __i++) {\
789     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
790     else dnz[row - __rstart]++;\
791   }\
792 }
793 
794 /*MC
795    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
796        inserted using a local number of the rows and columns
797 
798    Synopsis:
799    #include <petscmat.h>
800    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
801 
802    Not Collective
803 
804    Input Parameters:
805 +  nrows - the number of rows indicated
806 .  rows - the indices of the rows
807 .  ncols - the number of columns in the matrix
808 .  cols - the columns indicated
809 .  dnz - the array that will be passed to the matrix preallocation routines
810 -  ozn - the other array passed to the matrix preallocation routines
811 
812    Level: intermediate
813 
814    Notes:
815     See Users-Manual: ch_performance for more details.
816 
817    Do not malloc or free dnz and onz that is handled internally by these routines
818 
819    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
820 
821   Concepts: preallocation^Matrix
822 
823 .seealso: MatPreallocateFinalize(), MatPreallocateSet(),  MatPreallocateInitialize(),
824           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
825 M*/
826 #define MatPreallocateSymmetricSetBlock(row,nc,cols,dnz,onz) 0;\
827 { PetscInt __i; \
828   for (__i=0; __i<nc; __i++) {\
829     if (cols[__i] >= __end) onz[row - __rstart]++; \
830     else if (cols[__i] >= row) dnz[row - __rstart]++;\
831   }\
832 }
833 
834 /*MC
835    MatPreallocateLocation -  An alternative to MatPreallocationSet() that puts the nonzero locations into the matrix if it exists
836 
837    Synopsis:
838    #include <petscmat.h>
839    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
840 
841    Not Collective
842 
843    Input Parameters:
844 .  A - matrix
845 .  row - row where values exist (must be local to this process)
846 .  ncols - number of columns
847 .  cols - columns with nonzeros
848 .  dnz - the array that will be passed to the matrix preallocation routines
849 -  ozn - the other array passed to the matrix preallocation routines
850 
851    Level: intermediate
852 
853    Notes:
854     See Users-Manual: ch_performance for more details.
855 
856    Do not malloc or free dnz and onz that is handled internally by these routines
857 
858    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
859 
860   Concepts: preallocation^Matrix
861 
862 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
863           MatPreallocateSymmetricSetLocalBlock()
864 M*/
865 #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);}
866 
867 
868 /*MC
869    MatPreallocateFinalize - Ends the block of code that will count the number of nonzeros per
870        row in a matrix providing the data that one can use to correctly preallocate the matrix.
871 
872    Synopsis:
873    #include <petscmat.h>
874    PetscErrorCode MatPreallocateFinalize(PetscInt *dnz, PetscInt *onz)
875 
876    Collective on MPI_Comm
877 
878    Input Parameters:
879 +  dnz - the array that was be passed to the matrix preallocation routines
880 -  ozn - the other array passed to the matrix preallocation routines
881 
882    Level: intermediate
883 
884    Notes:
885     See Users-Manual: ch_performance for more details.
886 
887    Do not malloc or free dnz and onz that is handled internally by these routines
888 
889    This is a MACRO not a function because it closes the { started in MatPreallocateInitialize().
890 
891   Concepts: preallocation^Matrix
892 
893 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
894           MatPreallocateSymmetricSetLocalBlock()
895 M*/
896 #define MatPreallocateFinalize(dnz,onz) 0;_4_ierr = PetscFree2(dnz,onz);CHKERRQ(_4_ierr);}
897 
898 /* Routines unique to particular data structures */
899 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat,void *);
900 
901 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat,IS*,IS*);
902 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat,PetscInt *,PetscInt *[],PetscInt *);
903 
904 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat,PetscInt[]);
905 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat,PetscInt[]);
906 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
907 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
908 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
909 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*,PetscInt,PetscBool);
910 
911 #define MAT_SKIP_ALLOCATION -4
912 
913 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
914 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
915 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat,PetscInt,const PetscInt[]);
916 
917 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
918 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
919 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
920 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat,const PetscInt [],const PetscInt [],const PetscScalar []);
921 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
922 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]);
923 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
924 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat,PetscInt[],PetscInt[],PetscInt[]);
925 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
926 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
927 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
928 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
929 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat,Mat*);
930 
931 PETSC_EXTERN PetscErrorCode MatISSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
932 PETSC_EXTERN PetscErrorCode MatSeqDenseSetLDA(Mat,PetscInt);
933 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat,Mat*);
934 
935 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
936 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
937 
938 PETSC_EXTERN PetscErrorCode MatDAADSetCtx(Mat,void*);
939 
940 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat,IS*);
941 PETSC_EXTERN PetscErrorCode MatFindZeroRows(Mat,IS*);
942 /*
943   These routines are not usually accessed directly, rather solving is
944   done through the KSP and PC interfaces.
945 */
946 
947 /*J
948     MatOrderingType - String with the name of a PETSc matrix ordering
949 
950    Level: beginner
951 
952 .seealso: MatGetOrdering()
953 J*/
954 typedef const char* MatOrderingType;
955 #define MATORDERINGNATURAL     "natural"
956 #define MATORDERINGND          "nd"
957 #define MATORDERING1WD         "1wd"
958 #define MATORDERINGRCM         "rcm"
959 #define MATORDERINGQMD         "qmd"
960 #define MATORDERINGROWLENGTH   "rowlength"
961 #define MATORDERINGWBM         "wbm"
962 #define MATORDERINGSPECTRAL    "spectral"
963 #define MATORDERINGAMD         "amd"            /* only works if UMFPACK is installed with PETSc */
964 
965 PETSC_EXTERN PetscErrorCode MatGetOrdering(Mat,MatOrderingType,IS*,IS*);
966 PETSC_EXTERN PetscErrorCode MatGetOrderingList(PetscFunctionList*);
967 PETSC_EXTERN PetscErrorCode MatOrderingRegister(const char[],PetscErrorCode(*)(Mat,MatOrderingType,IS*,IS*));
968 PETSC_EXTERN PetscFunctionList MatOrderingList;
969 
970 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
971 PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat,PetscReal,PetscBool,Mat*);
972 
973 /*S
974     MatFactorShiftType - Numeric Shift.
975 
976    Level: beginner
977 
978 S*/
979 typedef enum {MAT_SHIFT_NONE,MAT_SHIFT_NONZERO,MAT_SHIFT_POSITIVE_DEFINITE,MAT_SHIFT_INBLOCKS} MatFactorShiftType;
980 PETSC_EXTERN const char *const MatFactorShiftTypes[];
981 PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];
982 
983 /*S
984     MatFactorError - indicates what type of error in matrix factor
985 
986     Level: beginner
987 
988     Developer Notes: Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
989 
990 .seealso: MatGetFactor()
991 S*/
992 typedef enum {MAT_FACTOR_NOERROR,MAT_FACTOR_STRUCT_ZEROPIVOT,MAT_FACTOR_NUMERIC_ZEROPIVOT,MAT_FACTOR_OUTMEMORY,MAT_FACTOR_OTHER} MatFactorError;
993 
994 PETSC_EXTERN PetscErrorCode MatFactorGetError(Mat,MatFactorError*);
995 PETSC_EXTERN PetscErrorCode MatFactorClearError(Mat);
996 PETSC_EXTERN PetscErrorCode MatFactorGetErrorZeroPivot(Mat,PetscReal*,PetscInt*);
997 
998 /*S
999    MatFactorInfo - Data passed into the matrix factorization routines, and information about the resulting factorization
1000 
1001    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE, that is use
1002 $     MatFactorInfo  info(MAT_FACTORINFO_SIZE)
1003 
1004    Notes: These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
1005 
1006       You can use MatFactorInfoInitialize() to set default values.
1007 
1008    Level: developer
1009 
1010 .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor(),
1011           MatFactorInfoInitialize()
1012 
1013 S*/
1014 typedef struct {
1015   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
1016   PetscReal     usedt;
1017   PetscReal     dt;             /* drop tolerance */
1018   PetscReal     dtcol;          /* tolerance for pivoting */
1019   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
1020   PetscReal     fill;           /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1021   PetscReal     levels;         /* ICC/ILU(levels) */
1022   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1023                                    factorization may be faster if do not pivot */
1024   PetscReal     zeropivot;      /* pivot is called zero if less than this */
1025   PetscReal     shifttype;      /* type of shift added to matrix factor to prevent zero pivots */
1026   PetscReal     shiftamount;     /* how large the shift is */
1027 } MatFactorInfo;
1028 
1029 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo*);
1030 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat,IS,const MatFactorInfo*);
1031 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1032 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat,Mat,const MatFactorInfo*);
1033 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat,IS,IS,const MatFactorInfo*);
1034 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat,IS,IS,const MatFactorInfo*);
1035 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1036 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1037 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1038 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat,IS,const MatFactorInfo*);
1039 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat,Mat,const MatFactorInfo*);
1040 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat,PetscInt*,PetscInt*,PetscInt*);
1041 PETSC_EXTERN PetscErrorCode MatSolve(Mat,Vec,Vec);
1042 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat,Vec,Vec);
1043 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat,Vec,Vec);
1044 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat,Vec,Vec,Vec);
1045 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat,Vec,Vec);
1046 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
1047 PETSC_EXTERN PetscErrorCode MatSolves(Mat,Vecs,Vecs);
1048 PETSC_EXTERN PetscErrorCode MatFactorSetSchurIS(Mat,IS);
1049 PETSC_EXTERN PetscErrorCode MatFactorGetSchurComplement(Mat,Mat*);
1050 PETSC_EXTERN PetscErrorCode MatFactorRestoreSchurComplement(Mat,Mat*);
1051 PETSC_EXTERN PetscErrorCode MatFactorInvertSchurComplement(Mat);
1052 PETSC_EXTERN PetscErrorCode MatFactorCreateSchurComplement(Mat,Mat*);
1053 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplement(Mat,Vec,Vec);
1054 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplementTranspose(Mat,Vec,Vec);
1055 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
1056 
1057 /*E
1058     MatSORType - What type of (S)SOR to perform
1059 
1060     Level: beginner
1061 
1062    May be bitwise ORd together
1063 
1064    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1065 
1066    MatSORType may be bitwise ORd together, so do not change the numbers
1067 
1068 .seealso: MatSOR()
1069 E*/
1070 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
1071               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
1072               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
1073               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
1074 PETSC_EXTERN PetscErrorCode MatSOR(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
1075 
1076 /*
1077     These routines are for efficiently computing Jacobians via finite differences.
1078 */
1079 
1080 /*S
1081      MatColoring - Object for managing the coloring of matrices.
1082 
1083    Level: beginner
1084 
1085   Concepts: matrix, coloring
1086 
1087 .seealso:  MatFDColoringCreate() ISColoring MatFDColoring
1088 S*/
1089 typedef struct _p_MatColoring* MatColoring;
1090 /*J
1091     MatColoringType - String with the name of a PETSc matrix coloring
1092 
1093    Level: beginner
1094 
1095 .seealso: MatColoringSetType(), MatColoring
1096 J*/
1097 
1098 typedef const  char*           MatColoringType;
1099 #define MATCOLORINGJP      "jp"
1100 #define MATCOLORINGPOWER   "power"
1101 #define MATCOLORINGNATURAL "natural"
1102 #define MATCOLORINGSL      "sl"
1103 #define MATCOLORINGLF      "lf"
1104 #define MATCOLORINGID      "id"
1105 #define MATCOLORINGGREEDY  "greedy"
1106 
1107 /*E
1108    MatColoringWeightType - Type of weight scheme
1109 
1110     Not Collective
1111 
1112 +   MAT_COLORING_RANDOM  - Random weights
1113 .   MAT_COLORING_LEXICAL - Lexical weighting based upon global numbering.
1114 -   MAT_COLORING_LF      - Last-first weighting.
1115 
1116     Level: intermediate
1117 
1118    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1119 
1120 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1121 E*/
1122 typedef enum {MAT_COLORING_WEIGHT_RANDOM,MAT_COLORING_WEIGHT_LEXICAL,MAT_COLORING_WEIGHT_LF,MAT_COLORING_WEIGHT_SL} MatColoringWeightType;
1123 
1124 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat,MatColoring*);
1125 PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat,PetscInt,PetscInt*);
1126 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring*);
1127 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring,PetscViewer);
1128 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring,MatColoringType);
1129 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1130 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring,PetscInt);
1131 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring,PetscInt*);
1132 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring,PetscInt);
1133 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring,PetscInt*);
1134 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring,ISColoring*);
1135 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[],PetscErrorCode(*)(MatColoring));
1136 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat,PetscInt,PetscInt,ISColoringValue[],ISColoring*);
1137 PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring,MatColoringWeightType);
1138 PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring,PetscReal*,PetscInt*);
1139 PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring,PetscReal **,PetscInt **lperm);
1140 PETSC_EXTERN PetscErrorCode MatColoringTestValid(MatColoring,ISColoring);
1141 
1142 /*S
1143      MatFDColoring - Object for computing a sparse Jacobian via finite differences
1144         and coloring
1145 
1146    Level: beginner
1147 
1148   Concepts: coloring, sparse Jacobian, finite differences
1149 
1150 .seealso:  MatFDColoringCreate()
1151 S*/
1152 typedef struct _p_MatFDColoring* MatFDColoring;
1153 
1154 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
1155 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring*);
1156 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring,PetscViewer);
1157 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring,PetscErrorCode (*)(void),void*);
1158 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring,PetscErrorCode (**)(void),void**);
1159 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
1160 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1161 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat,MatFDColoring,Vec,void *);
1162 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring,Vec);
1163 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring,PetscInt*,PetscInt*[]);
1164 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat,ISColoring,MatFDColoring);
1165 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring,PetscInt,PetscInt);
1166 
1167 
1168 /*S
1169      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring
1170 
1171    Level: beginner
1172 
1173   Concepts: coloring, sparse matrix product
1174 
1175 .seealso:  MatTransposeColoringCreate()
1176 S*/
1177 typedef struct _p_MatTransposeColoring* MatTransposeColoring;
1178 
1179 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat,ISColoring,MatTransposeColoring *);
1180 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring,Mat,Mat);
1181 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring,Mat,Mat);
1182 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring*);
1183 
1184 /*
1185     These routines are for partitioning matrices: currently used only
1186   for adjacency matrix, MatCreateMPIAdj().
1187 */
1188 
1189 /*S
1190      MatPartitioning - Object for managing the partitioning of a matrix or graph
1191 
1192    Level: beginner
1193 
1194   Concepts: partitioning
1195 
1196 .seealso:  MatPartitioningCreate(), MatPartitioningType
1197 S*/
1198 typedef struct _p_MatPartitioning* MatPartitioning;
1199 
1200 /*J
1201     MatPartitioningType - String with the name of a PETSc matrix partitioning
1202 
1203    Level: beginner
1204 dm
1205 .seealso: MatPartitioningCreate(), MatPartitioning
1206 J*/
1207 typedef const char* MatPartitioningType;
1208 #define MATPARTITIONINGCURRENT  "current"
1209 #define MATPARTITIONINGAVERAGE   "average"
1210 #define MATPARTITIONINGSQUARE   "square"
1211 #define MATPARTITIONINGPARMETIS "parmetis"
1212 #define MATPARTITIONINGCHACO    "chaco"
1213 #define MATPARTITIONINGPARTY    "party"
1214 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1215 #define MATPARTITIONINGHIERARCH  "hierarch"
1216 
1217 
1218 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1219 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning,MatPartitioningType);
1220 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning,PetscInt);
1221 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning,Mat);
1222 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning,const PetscInt[]);
1223 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1224 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning,IS*);
1225 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning*);
1226 
1227 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[],PetscErrorCode (*)(MatPartitioning));
1228 
1229 
1230 
1231 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning,PetscViewer);
1232 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1233 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
1234 
1235 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetRepartition(MatPartitioning part);
1236 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1237 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1238 
1239 typedef enum { MP_CHACO_MULTILEVEL=1,MP_CHACO_SPECTRAL=2,MP_CHACO_LINEAR=4,MP_CHACO_RANDOM=5,MP_CHACO_SCATTERED=6 } MPChacoGlobalType;
1240 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1241 typedef enum { MP_CHACO_KERNIGHAN=1,MP_CHACO_NONE=2 } MPChacoLocalType;
1242 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1243 typedef enum { MP_CHACO_LANCZOS=0,MP_CHACO_RQI=1 } MPChacoEigenType;
1244 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1245 
1246 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning,MPChacoGlobalType);
1247 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning,MPChacoGlobalType*);
1248 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning,MPChacoLocalType);
1249 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning,MPChacoLocalType*);
1250 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning,PetscReal);
1251 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning,MPChacoEigenType);
1252 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning,MPChacoEigenType*);
1253 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning,PetscReal);
1254 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning,PetscReal*);
1255 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning,PetscInt);
1256 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning,PetscInt*);
1257 
1258 #define MP_PARTY_OPT "opt"
1259 #define MP_PARTY_LIN "lin"
1260 #define MP_PARTY_SCA "sca"
1261 #define MP_PARTY_RAN "ran"
1262 #define MP_PARTY_GBF "gbf"
1263 #define MP_PARTY_GCF "gcf"
1264 #define MP_PARTY_BUB "bub"
1265 #define MP_PARTY_DEF "def"
1266 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning,const char*);
1267 #define MP_PARTY_HELPFUL_SETS "hs"
1268 #define MP_PARTY_KERNIGHAN_LIN "kl"
1269 #define MP_PARTY_NONE "no"
1270 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning,const char*);
1271 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning,PetscReal);
1272 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning,PetscBool);
1273 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning,PetscBool);
1274 
1275 typedef enum { MP_PTSCOTCH_QUALITY,MP_PTSCOTCH_SPEED,MP_PTSCOTCH_BALANCE,MP_PTSCOTCH_SAFETY,MP_PTSCOTCH_SCALABILITY } MPPTScotchStrategyType;
1276 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1277 
1278 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning,PetscReal);
1279 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning,PetscReal*);
1280 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning,MPPTScotchStrategyType);
1281 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning,MPPTScotchStrategyType*);
1282 
1283 /*
1284  * hierarchical partitioning
1285  */
1286 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetFineparts(MatPartitioning,IS*);
1287 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetCoarseparts(MatPartitioning,IS*);
1288 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNcoarseparts(MatPartitioning,PetscInt);
1289 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNfineparts(MatPartitioning, PetscInt);
1290 
1291 PETSC_EXTERN PetscErrorCode MatMeshToVertexGraph(Mat,PetscInt,Mat*);
1292 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat,PetscInt,Mat*);
1293 
1294 /*
1295     If you add entries here you must also add them to petsc/finclude/petscmat.h
1296 */
1297 typedef enum { MATOP_SET_VALUES=0,
1298                MATOP_GET_ROW=1,
1299                MATOP_RESTORE_ROW=2,
1300                MATOP_MULT=3,
1301                MATOP_MULT_ADD=4,
1302                MATOP_MULT_TRANSPOSE=5,
1303                MATOP_MULT_TRANSPOSE_ADD=6,
1304                MATOP_SOLVE=7,
1305                MATOP_SOLVE_ADD=8,
1306                MATOP_SOLVE_TRANSPOSE=9,
1307                MATOP_SOLVE_TRANSPOSE_ADD=10,
1308                MATOP_LUFACTOR=11,
1309                MATOP_CHOLESKYFACTOR=12,
1310                MATOP_SOR=13,
1311                MATOP_TRANSPOSE=14,
1312                MATOP_GETINFO=15,
1313                MATOP_EQUAL=16,
1314                MATOP_GET_DIAGONAL=17,
1315                MATOP_DIAGONAL_SCALE=18,
1316                MATOP_NORM=19,
1317                MATOP_ASSEMBLY_BEGIN=20,
1318                MATOP_ASSEMBLY_END=21,
1319                MATOP_SET_OPTION=22,
1320                MATOP_ZERO_ENTRIES=23,
1321                MATOP_ZERO_ROWS=24,
1322                MATOP_LUFACTOR_SYMBOLIC=25,
1323                MATOP_LUFACTOR_NUMERIC=26,
1324                MATOP_CHOLESKY_FACTOR_SYMBOLIC=27,
1325                MATOP_CHOLESKY_FACTOR_NUMERIC=28,
1326                MATOP_SETUP_PREALLOCATION=29,
1327                MATOP_ILUFACTOR_SYMBOLIC=30,
1328                MATOP_ICCFACTOR_SYMBOLIC=31,
1329                MATOP_GET_DIAGONAL_BLOCK=32,
1330                /* MATOP_PLACEHOLDER_33=33, */
1331                MATOP_DUPLICATE=34,
1332                MATOP_FORWARD_SOLVE=35,
1333                MATOP_BACKWARD_SOLVE=36,
1334                MATOP_ILUFACTOR=37,
1335                MATOP_ICCFACTOR=38,
1336                MATOP_AXPY=39,
1337                MATOP_GET_SUBMATRICES=40,
1338                MATOP_INCREASE_OVERLAP=41,
1339                MATOP_GET_VALUES=42,
1340                MATOP_COPY=43,
1341                MATOP_GET_ROW_MAX=44,
1342                MATOP_SCALE=45,
1343                MATOP_SHIFT=46,
1344                MATOP_DIAGONAL_SET=47,
1345                MATOP_ZERO_ROWS_COLUMNS=48,
1346                MATOP_SET_RANDOM=49,
1347                MATOP_GET_ROW_IJ=50,
1348                MATOP_RESTORE_ROW_IJ=51,
1349                MATOP_GET_COLUMN_IJ=52,
1350                MATOP_RESTORE_COLUMN_IJ=53,
1351                MATOP_FDCOLORING_CREATE=54,
1352                MATOP_COLORING_PATCH=55,
1353                MATOP_SET_UNFACTORED=56,
1354                MATOP_PERMUTE=57,
1355                MATOP_SET_VALUES_BLOCKED=58,
1356                MATOP_GET_SUBMATRIX=59,
1357                MATOP_DESTROY=60,
1358                MATOP_VIEW=61,
1359                MATOP_CONVERT_FROM=62,
1360                MATOP_MATMAT_MULT=63,
1361                MATOP_MATMAT_MULT_SYMBOLIC=64,
1362                MATOP_MATMAT_MULT_NUMERIC=65,
1363                MATOP_SET_LOCAL_TO_GLOBAL_MAP=66,
1364                MATOP_SET_VALUES_LOCAL=67,
1365                MATOP_ZERO_ROWS_LOCAL=68,
1366                MATOP_GET_ROW_MAX_ABS=69,
1367                MATOP_GET_ROW_MIN_ABS=70,
1368                MATOP_CONVERT=71,
1369                MATOP_SET_COLORING=72,
1370                /* MATOP_PLACEHOLDER_73=73, */
1371                MATOP_SET_VALUES_ADIFOR=74,
1372                MATOP_FD_COLORING_APPLY=75,
1373                MATOP_SET_FROM_OPTIONS=76,
1374                MATOP_MULT_CONSTRAINED=77,
1375                MATOP_MULT_TRANSPOSE_CONSTRAIN=78,
1376                MATOP_FIND_ZERO_DIAGONALS=79,
1377                MATOP_MULT_MULTIPLE=80,
1378                MATOP_SOLVE_MULTIPLE=81,
1379                MATOP_GET_INERTIA=82,
1380                MATOP_LOAD=83,
1381                MATOP_IS_SYMMETRIC=84,
1382                MATOP_IS_HERMITIAN=85,
1383                MATOP_IS_STRUCTURALLY_SYMMETRIC=86,
1384                MATOP_SET_VALUES_BLOCKEDLOCAL=87,
1385                MATOP_GET_VECS=88,
1386                MATOP_MAT_MULT=89,
1387                MATOP_MAT_MULT_SYMBOLIC=90,
1388                MATOP_MAT_MULT_NUMERIC=91,
1389                MATOP_PTAP=92,
1390                MATOP_PTAP_SYMBOLIC=93,
1391                MATOP_PTAP_NUMERIC=94,
1392                MATOP_MAT_TRANSPOSE_MULT=95,
1393                MATOP_MAT_TRANSPOSE_MULT_SYMBO=96,
1394                MATOP_MAT_TRANSPOSE_MULT_NUMER=97,
1395                /* MATOP_PLACEHOLDER_98=98, */
1396                /* MATOP_PLACEHOLDER_99=99, */
1397                /* MATOP_PLACEHOLDER_100=100, */
1398                /* MATOP_PLACEHOLDER_101=101, */
1399                MATOP_CONJUGATE=102,
1400                /* MATOP_PLACEHOLDER_103=103, */
1401                MATOP_SET_VALUES_ROW=104,
1402                MATOP_REAL_PART=105,
1403                MATOP_IMAGINARY_PART=106,
1404                MATOP_GET_ROW_UPPER_TRIANGULAR=107,
1405                MATOP_RESTORE_ROW_UPPER_TRIANG=108,
1406                MATOP_MAT_SOLVE=109,
1407                MATOP_GET_REDUNDANT_MATRIX=110,
1408                MATOP_GET_ROW_MIN=111,
1409                MATOP_GET_COLUMN_VECTOR=112,
1410                MATOP_MISSING_DIAGONAL=113,
1411                MATOP_GET_SEQ_NONZERO_STRUCTUR=114,
1412                MATOP_CREATE=115,
1413                MATOP_GET_GHOSTS=116,
1414                MATOP_GET_LOCAL_SUB_MATRIX=117,
1415                MATOP_RESTORE_LOCALSUB_MATRIX=118,
1416                MATOP_MULT_DIAGONAL_BLOCK=119,
1417                MATOP_HERMITIAN_TRANSPOSE=120,
1418                MATOP_MULT_HERMITIAN_TRANSPOSE=121,
1419                MATOP_MULT_HERMITIAN_TRANS_ADD=122,
1420                MATOP_GET_MULTI_PROC_BLOCK=123,
1421                MATOP_FIND_NONZERO_ROWS=124,
1422                MATOP_GET_COLUMN_NORMS=125,
1423                MATOP_INVERT_BLOCK_DIAGONAL=126,
1424                /* MATOP_PLACEHOLDER_127=127, */
1425                MATOP_GET_SUB_MATRICES_PARALLE=128,
1426                MATOP_SET_VALUES_BATCH=129,
1427                MATOP_TRANSPOSE_MAT_MULT=130,
1428                MATOP_TRANSPOSE_MAT_MULT_SYMBO=131,
1429                MATOP_TRANSPOSE_MAT_MULT_NUMER=132,
1430                MATOP_TRANSPOSE_COLORING_CREAT=133,
1431                MATOP_TRANS_COLORING_APPLY_SPT=134,
1432                MATOP_TRANS_COLORING_APPLY_DEN=135,
1433                MATOP_RART=136,
1434                MATOP_RART_SYMBOLIC=137,
1435                MATOP_RART_NUMERIC=138,
1436                MATOP_SET_BLOCK_SIZES=139,
1437                MATOP_AYPX=140,
1438                MATOP_RESIDUAL=141,
1439                MATOP_FDCOLORING_SETUP=142,
1440                MATOP_MPICONCATENATESEQ=144
1441              } MatOperation;
1442 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat,MatOperation,PetscBool *);
1443 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat,MatOperation,void(*)(void));
1444 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat,MatOperation,void(**)(void));
1445 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat,void*);
1446 
1447 /*
1448    Codes for matrices stored on disk. By default they are
1449    stored in a universal format. By changing the format with
1450    PetscViewerPushFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
1451    be stored in a way natural for the matrix, for example dense matrices
1452    would be stored as dense. Matrices stored this way may only be
1453    read into matrices of the same type.
1454 */
1455 #define MATRIX_BINARY_FORMAT_DENSE -1
1456 
1457 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1458 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat,Mat*);
1459 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat,Mat);
1460 PETSC_EXTERN PetscErrorCode MatISGetMPIXAIJ(Mat,MatReuse,Mat*);
1461 
1462 /*S
1463      MatNullSpace - Object that removes a null space from a vector, i.e.
1464          orthogonalizes the vector to a subsapce
1465 
1466    Level: advanced
1467 
1468   Concepts: matrix; linear operator, null space
1469 
1470   Users manual sections:
1471 .   sec_singular
1472 
1473 .seealso:  MatNullSpaceCreate()
1474 S*/
1475 typedef struct _p_MatNullSpace* MatNullSpace;
1476 
1477 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm,PetscBool ,PetscInt,const Vec[],MatNullSpace*);
1478 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace,PetscErrorCode (*)(MatNullSpace,Vec,void*),void*);
1479 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace*);
1480 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace,Vec);
1481 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
1482 PETSC_EXTERN PetscErrorCode MatGetTransposeNullSpace(Mat, MatNullSpace *);
1483 PETSC_EXTERN PetscErrorCode MatSetTransposeNullSpace(Mat,MatNullSpace);
1484 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat,MatNullSpace);
1485 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat,MatNullSpace);
1486 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat,MatNullSpace*);
1487 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace,Mat,PetscBool  *);
1488 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace,PetscViewer);
1489 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace,PetscBool*,PetscInt*,const Vec**);
1490 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec,MatNullSpace*);
1491 
1492 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat,IS);
1493 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1494 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat,PetscInt *);
1495 PETSC_EXTERN PetscErrorCode MatSeqBAIJInvertBlockDiagonal(Mat);
1496 
1497 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat,PetscInt,Mat*);
1498 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat,PetscInt,Mat*);
1499 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat,Mat*);
1500 
1501 PETSC_EXTERN PetscErrorCode MatComputeExplicitOperator(Mat,Mat*);
1502 
1503 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat,Vec);
1504 
1505 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
1506 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat,Vec,Vec);
1507 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat,PetscErrorCode(*)(void*,Vec,Vec),void*);
1508 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat,PetscErrorCode (*)(void*,PetscInt,Vec,PetscScalar*));
1509 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat,PetscErrorCode (*)(void*,Vec));
1510 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat,PetscScalar[],PetscInt);
1511 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
1512 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat,PetscReal);
1513 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat,PetscInt);
1514 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat,PetscScalar *);
1515 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat,const char[]);
1516 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void*,Vec,Vec,PetscScalar*);
1517 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat,PetscErrorCode (*)(void*,Vec,Vec,PetscScalar*),void*);
1518 
1519 /*S
1520     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
1521               Jacobian vector products
1522 
1523     Notes: MATMFFD is a specific MatType which uses the MatMFFD data structure
1524 
1525            MatMFFD*() methods actually take the Mat as their first argument. Not a MatMFFD data structure
1526 
1527     Level: developer
1528 
1529 .seealso: MATMFFD, MatCreateMFFD(), MatMFFDSetFuction(), MatMFFDSetType(), MatMFFDRegister()
1530 S*/
1531 typedef struct _p_MatMFFD* MatMFFD;
1532 
1533 /*J
1534     MatMFFDType - algorithm used to compute the h used in computing matrix-vector products via differencing of the function
1535 
1536    Level: beginner
1537 
1538 .seealso: MatMFFDSetType(), MatMFFDRegister()
1539 J*/
1540 typedef const char* MatMFFDType;
1541 #define MATMFFD_DS  "ds"
1542 #define MATMFFD_WP  "wp"
1543 
1544 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat,MatMFFDType);
1545 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[],PetscErrorCode (*)(MatMFFD));
1546 
1547 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat,PetscReal);
1548 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat,PetscBool );
1549 
1550 PETSC_EXTERN PetscErrorCode MatFDColoringSetType(MatFDColoring,MatMFFDType);
1551 
1552 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
1553 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
1554 
1555 /*
1556    PETSc interface to MUMPS
1557 */
1558 #ifdef PETSC_HAVE_MUMPS
1559 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat,PetscInt,PetscInt);
1560 PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat,PetscInt,PetscInt*);
1561 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat,PetscInt,PetscReal);
1562 PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat,PetscInt,PetscReal*);
1563 
1564 PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat,PetscInt,PetscInt*);
1565 PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat,PetscInt,PetscInt*);
1566 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat,PetscInt,PetscReal*);
1567 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat,PetscInt,PetscReal*);
1568 #endif
1569 
1570 /*
1571    PETSc interface to Mkl_Pardiso
1572 */
1573 #ifdef PETSC_HAVE_MKL_PARDISO
1574 PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat,PetscInt,PetscInt);
1575 #endif
1576 
1577 /*
1578    PETSc interface to Mkl_CPardiso
1579 */
1580 #ifdef PETSC_HAVE_MKL_CPARDISO
1581 PETSC_EXTERN PetscErrorCode MatMkl_CPardisoSetCntl(Mat,PetscInt,PetscInt);
1582 #endif
1583 
1584 /*
1585    PETSc interface to SUPERLU
1586 */
1587 #ifdef PETSC_HAVE_SUPERLU
1588 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat,PetscReal);
1589 #endif
1590 
1591 /*
1592    PETSc interface to SUPERLU_DIST
1593 */
1594 #ifdef PETSC_HAVE_SUPERLU_DIST
1595 PETSC_EXTERN PetscErrorCode MatSuperluDistGetDiagU(Mat,PetscScalar*);
1596 #endif
1597 
1598 /*
1599    PETSc interface to STRUMPACK
1600 */
1601 #ifdef PETSC_HAVE_STRUMPACK
1602 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSRelCompTol(Mat,PetscReal);
1603 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMinSize(Mat,PetscInt);
1604 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetColPerm(Mat,PetscBool);
1605 #endif
1606 
1607 
1608 #ifdef PETSC_HAVE_CUDA
1609 /*E
1610     MatCUSPARSEStorageFormat - indicates the storage format for CUSPARSE (GPU)
1611     matrices.
1612 
1613     Not Collective
1614 
1615 +   MAT_CUSPARSE_CSR - Compressed Sparse Row
1616 .   MAT_CUSPARSE_ELL - Ellpack (requires CUDA 4.2 or later).
1617 -   MAT_CUSPARSE_HYB - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
1618 
1619     Level: intermediate
1620 
1621    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1622 
1623 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEFormatOperation
1624 E*/
1625 
1626 typedef enum {MAT_CUSPARSE_CSR, MAT_CUSPARSE_ELL, MAT_CUSPARSE_HYB} MatCUSPARSEStorageFormat;
1627 
1628 /* these will be strings associated with enumerated type defined above */
1629 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
1630 
1631 /*E
1632     MatCUSPARSEFormatOperation - indicates the operation of CUSPARSE (GPU)
1633     matrices whose operation should use a particular storage format.
1634 
1635     Not Collective
1636 
1637 +   MAT_CUSPARSE_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1638 .   MAT_CUSPARSE_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1639 .   MAT_CUSPARSE_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1640 -   MAT_CUSPARSE_ALL - sets the storage format for all CUSPARSE (GPU) matrices
1641 
1642     Level: intermediate
1643 
1644 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEStorageFormat
1645 E*/
1646 typedef enum {MAT_CUSPARSE_MULT_DIAG, MAT_CUSPARSE_MULT_OFFDIAG, MAT_CUSPARSE_MULT, MAT_CUSPARSE_ALL} MatCUSPARSEFormatOperation;
1647 
1648 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1649 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1650 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat,MatCUSPARSEFormatOperation,MatCUSPARSEStorageFormat);
1651 #endif
1652 
1653 #if defined(PETSC_HAVE_CUSP)
1654 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1655 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1656 
1657 /*E
1658     MatCUSPStorageFormat - indicates the storage format for CUSP (GPU)
1659     matrices.
1660 
1661     Not Collective
1662 
1663 +   MAT_CUSP_CSR - Compressed Sparse Row
1664 .   MAT_CUSP_DIA - Diagonal
1665 -   MAT_CUSP_ELL - Ellpack
1666 
1667     Level: intermediate
1668 
1669    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1670 
1671 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1672 E*/
1673 typedef enum {MAT_CUSP_CSR, MAT_CUSP_DIA, MAT_CUSP_ELL} MatCUSPStorageFormat;
1674 
1675 /* these will be strings associated with enumerated type defined above */
1676 PETSC_EXTERN const char *const MatCUSPStorageFormats[];
1677 
1678 /*E
1679     MatCUSPFormatOperation - indicates the operation of CUSP (GPU)
1680     matrices whose operation should use a particular storage format.
1681 
1682     Not Collective
1683 
1684 +   MAT_CUSP_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1685 .   MAT_CUSP_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1686 .   MAT_CUSP_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1687 -   MAT_CUSP_ALL - sets the storage format for all CUSP (GPU) matrices
1688 
1689     Level: intermediate
1690 
1691    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1692 
1693 .seealso: MatCUSPSetFormat(), MatCUSPStorageFormat
1694 E*/
1695 typedef enum {MAT_CUSP_MULT_DIAG, MAT_CUSP_MULT_OFFDIAG, MAT_CUSP_MULT, MAT_CUSP_ALL} MatCUSPFormatOperation;
1696 
1697 PETSC_EXTERN PetscErrorCode MatCUSPSetFormat(Mat,MatCUSPFormatOperation,MatCUSPStorageFormat);
1698 #endif
1699 
1700 #if defined(PETSC_HAVE_VIENNACL)
1701 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1702 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1703 #endif
1704 
1705 /*
1706    PETSc interface to FFTW
1707 */
1708 #if defined(PETSC_HAVE_FFTW)
1709 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat,Vec,Vec);
1710 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat,Vec,Vec);
1711 PETSC_EXTERN PetscErrorCode MatCreateVecsFFTW(Mat,Vec*,Vec*,Vec*);
1712 #endif
1713 
1714 /*
1715    PETSc interface to ELEMENTAL
1716 */
1717 #if defined(PETSC_HAVE_ELEMENTAL)
1718 #if defined(PETSC_USE_COMPLEX)
1719 typedef El::Complex<PetscReal> PetscElemScalar;
1720 #else
1721 typedef PetscScalar PetscElemScalar;
1722 #endif
1723 PETSC_EXTERN PetscErrorCode PetscElementalInitializePackage(void);
1724 PETSC_EXTERN PetscErrorCode PetscElementalFinalizePackage(void);
1725 #endif
1726 
1727 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm,PetscInt,const IS[],PetscInt,const IS[],const Mat[],Mat*);
1728 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat,PetscInt*,PetscInt*);
1729 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat,IS[],IS[]);
1730 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat,IS[],IS[]);
1731 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat,PetscInt*,PetscInt*,Mat***);
1732 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat,PetscInt,PetscInt,Mat*);
1733 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat,VecType);
1734 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat,PetscInt,const IS[],PetscInt,const IS[],const Mat[]);
1735 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat,PetscInt,PetscInt,Mat);
1736 
1737 PETSC_EXTERN PetscErrorCode MatChop(Mat,PetscReal);
1738 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat,PetscReal,PetscInt*);
1739 
1740 PETSC_EXTERN PetscErrorCode MatSubdomainsCreateCoalesce(Mat,PetscInt,PetscInt*,IS**);
1741 
1742 PETSC_EXTERN PetscErrorCode MatPreallocatorPreallocate(Mat,PetscBool,Mat);
1743 
1744 PETSC_INTERN PetscErrorCode MatHeaderMerge(Mat,Mat*);
1745 PETSC_EXTERN PetscErrorCode MatHeaderReplace(Mat,Mat*);
1746 
1747 #endif
1748