xref: /petsc/include/petscmat.h (revision 9e7b2b254cbceb4abc4abed5d426b9e29b98e2bb)
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,Vec,Mat,Mat*);
219 PETSC_EXTERN PetscErrorCode MatLRCGetMats(Mat,Mat*,Mat*,Vec*,Mat*);
220 PETSC_EXTERN PetscErrorCode MatCreateIS(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,ISLocalToGlobalMapping,ISLocalToGlobalMapping,Mat*);
221 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
222 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
223 
224 PETSC_EXTERN PetscErrorCode MatCreateScatter(MPI_Comm,VecScatter,Mat*);
225 PETSC_EXTERN PetscErrorCode MatScatterSetVecScatter(Mat,VecScatter);
226 PETSC_EXTERN PetscErrorCode MatScatterGetVecScatter(Mat,VecScatter*);
227 PETSC_EXTERN PetscErrorCode MatCreateBlockMat(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt*,Mat*);
228 PETSC_EXTERN PetscErrorCode MatCompositeAddMat(Mat,Mat);
229 PETSC_EXTERN PetscErrorCode MatCompositeMerge(Mat);
230 PETSC_EXTERN PetscErrorCode MatCreateComposite(MPI_Comm,PetscInt,const Mat*,Mat*);
231 typedef enum {MAT_COMPOSITE_ADDITIVE,MAT_COMPOSITE_MULTIPLICATIVE} MatCompositeType;
232 PETSC_EXTERN PetscErrorCode MatCompositeSetType(Mat,MatCompositeType);
233 
234 PETSC_EXTERN PetscErrorCode MatCreateFFT(MPI_Comm,PetscInt,const PetscInt[],MatType,Mat*);
235 PETSC_EXTERN PetscErrorCode MatCreateSeqCUFFT(MPI_Comm,PetscInt,const PetscInt[],Mat*);
236 
237 PETSC_EXTERN PetscErrorCode MatCreateTranspose(Mat,Mat*);
238 PETSC_EXTERN PetscErrorCode MatTransposeGetMat(Mat,Mat*);
239 PETSC_EXTERN PetscErrorCode MatCreateHermitianTranspose(Mat,Mat*);
240 PETSC_EXTERN PetscErrorCode MatCreateSubMatrix(Mat,IS,IS,Mat*);
241 PETSC_EXTERN PetscErrorCode MatSubMatrixUpdate(Mat,Mat,IS,IS);
242 PETSC_EXTERN PetscErrorCode MatCreateLocalRef(Mat,IS,IS,Mat*);
243 
244 PETSC_EXTERN PetscErrorCode MatPythonSetType(Mat,const char[]);
245 
246 PETSC_EXTERN PetscErrorCode MatSetUp(Mat);
247 PETSC_EXTERN PetscErrorCode MatDestroy(Mat*);
248 PETSC_EXTERN PetscErrorCode MatGetNonzeroState(Mat,PetscObjectState*);
249 
250 PETSC_EXTERN PetscErrorCode MatConjugate(Mat);
251 PETSC_EXTERN PetscErrorCode MatRealPart(Mat);
252 PETSC_EXTERN PetscErrorCode MatImaginaryPart(Mat);
253 PETSC_EXTERN PetscErrorCode MatGetDiagonalBlock(Mat,Mat*);
254 PETSC_EXTERN PetscErrorCode MatGetTrace(Mat,PetscScalar*);
255 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonal(Mat,const PetscScalar **);
256 
257 /* ------------------------------------------------------------*/
258 PETSC_EXTERN PetscErrorCode MatSetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
259 PETSC_EXTERN PetscErrorCode MatSetValuesBlocked(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
260 PETSC_EXTERN PetscErrorCode MatSetValuesRow(Mat,PetscInt,const PetscScalar[]);
261 PETSC_EXTERN PetscErrorCode MatSetValuesRowLocal(Mat,PetscInt,const PetscScalar[]);
262 PETSC_EXTERN PetscErrorCode MatSetValuesBatch(Mat,PetscInt,PetscInt,PetscInt[],const PetscScalar[]);
263 PETSC_EXTERN PetscErrorCode MatSetRandom(Mat,PetscRandom);
264 
265 /*S
266      MatStencil - Data structure (C struct) for storing information about a single row or
267         column of a matrix as indexed on an associated grid. These are arguments to MatSetStencil() and MatSetBlockStencil()
268 
269    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).
270    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.
271 
272    For stencil access to vectors see DMDAVecGetArray(), DMDAVecGetArrayF90().
273 
274    Fortran usage is different, see MatSetValuesStencil() for details.
275 
276    Level: beginner
277 
278   Concepts: matrix; linear operator
279 
280 .seealso:  MatSetValuesStencil(), MatSetStencil(), MatSetValuesBlockedStencil(), DMDAVecGetArray(), DMDAVecGetArrayF90()
281 S*/
282 typedef struct {
283   PetscInt k,j,i,c;
284 } MatStencil;
285 
286 PETSC_EXTERN PetscErrorCode MatSetValuesStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
287 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
288 PETSC_EXTERN PetscErrorCode MatSetStencil(Mat,PetscInt,const PetscInt[],const PetscInt[],PetscInt);
289 
290 /*E
291     MatAssemblyType - Indicates if the matrix is now to be used, or if you plan
292      to continue to add or insert values to it
293 
294     Level: beginner
295 
296 .seealso: MatAssemblyBegin(), MatAssemblyEnd()
297 E*/
298 typedef enum {MAT_FLUSH_ASSEMBLY=1,MAT_FINAL_ASSEMBLY=0} MatAssemblyType;
299 PETSC_EXTERN PetscErrorCode MatAssemblyBegin(Mat,MatAssemblyType);
300 PETSC_EXTERN PetscErrorCode MatAssemblyEnd(Mat,MatAssemblyType);
301 PETSC_EXTERN PetscErrorCode MatAssembled(Mat,PetscBool *);
302 
303 
304 
305 /*E
306     MatOption - Options that may be set for a matrix and its behavior or storage
307 
308     Level: beginner
309 
310    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
311 
312    Developer Notes: Entries that are negative need not be called collectively by all processes.
313 
314 .seealso: MatSetOption()
315 E*/
316 typedef enum {MAT_OPTION_MIN = -3,
317               MAT_UNUSED_NONZERO_LOCATION_ERR = -2,
318               MAT_ROW_ORIENTED = -1,
319               MAT_SYMMETRIC = 1,
320               MAT_STRUCTURALLY_SYMMETRIC = 2,
321               MAT_NEW_DIAGONALS = 3,
322               MAT_IGNORE_OFF_PROC_ENTRIES = 4,
323               MAT_USE_HASH_TABLE = 5,
324               MAT_KEEP_NONZERO_PATTERN = 6,
325               MAT_IGNORE_ZERO_ENTRIES = 7,
326               MAT_USE_INODES = 8,
327               MAT_HERMITIAN = 9,
328               MAT_SYMMETRY_ETERNAL = 10,
329               MAT_NEW_NONZERO_LOCATION_ERR = 11,
330               MAT_IGNORE_LOWER_TRIANGULAR = 12,
331               MAT_ERROR_LOWER_TRIANGULAR = 13,
332               MAT_GETROW_UPPERTRIANGULAR = 14,
333               MAT_SPD = 15,
334               MAT_NO_OFF_PROC_ZERO_ROWS = 16,
335               MAT_NO_OFF_PROC_ENTRIES = 17,
336               MAT_NEW_NONZERO_LOCATIONS = 18,
337               MAT_NEW_NONZERO_ALLOCATION_ERR = 19,
338               MAT_SUBSET_OFF_PROC_ENTRIES = 20,
339               MAT_OPTION_MAX = 21} MatOption;
340 
341 PETSC_EXTERN const char *MatOptions[];
342 PETSC_EXTERN PetscErrorCode MatSetOption(Mat,MatOption,PetscBool);
343 PETSC_EXTERN PetscErrorCode MatGetOption(Mat,MatOption,PetscBool*);
344 PETSC_EXTERN PetscErrorCode MatGetType(Mat,MatType*);
345 
346 PETSC_EXTERN PetscErrorCode MatGetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar[]);
347 PETSC_EXTERN PetscErrorCode MatGetRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
348 PETSC_EXTERN PetscErrorCode MatRestoreRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
349 PETSC_EXTERN PetscErrorCode MatGetRowUpperTriangular(Mat);
350 PETSC_EXTERN PetscErrorCode MatRestoreRowUpperTriangular(Mat);
351 PETSC_EXTERN PetscErrorCode MatGetColumnVector(Mat,Vec,PetscInt);
352 PETSC_EXTERN PetscErrorCode MatSeqAIJGetArray(Mat,PetscScalar *[]);
353 PETSC_EXTERN PetscErrorCode MatSeqAIJRestoreArray(Mat,PetscScalar *[]);
354 PETSC_EXTERN PetscErrorCode MatSeqAIJGetMaxRowNonzeros(Mat,PetscInt*);
355 PETSC_EXTERN PetscErrorCode MatSeqAIJSetValuesLocalFast(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
356 PETSC_EXTERN PetscErrorCode MatDenseGetArray(Mat,PetscScalar *[]);
357 PETSC_EXTERN PetscErrorCode MatDenseRestoreArray(Mat,PetscScalar *[]);
358 PETSC_EXTERN PetscErrorCode MatGetBlockSize(Mat,PetscInt *);
359 PETSC_EXTERN PetscErrorCode MatSetBlockSize(Mat,PetscInt);
360 PETSC_EXTERN PetscErrorCode MatGetBlockSizes(Mat,PetscInt *,PetscInt *);
361 PETSC_EXTERN PetscErrorCode MatSetBlockSizes(Mat,PetscInt,PetscInt);
362 PETSC_EXTERN PetscErrorCode MatSetBlockSizesFromMats(Mat,Mat,Mat);
363 
364 PETSC_EXTERN PetscErrorCode MatMult(Mat,Vec,Vec);
365 PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat,Vec,Vec);
366 PETSC_EXTERN PetscErrorCode MatMultAdd(Mat,Vec,Vec,Vec);
367 PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat,Vec,Vec);
368 PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat,Vec,Vec);
369 PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat,Mat,PetscReal,PetscBool *);
370 PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat,Mat,PetscReal,PetscBool *);
371 PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat,Vec,Vec,Vec);
372 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat,Vec,Vec,Vec);
373 PETSC_EXTERN PetscErrorCode MatMultConstrained(Mat,Vec,Vec);
374 PETSC_EXTERN PetscErrorCode MatMultTransposeConstrained(Mat,Vec,Vec);
375 PETSC_EXTERN PetscErrorCode MatMatSolve(Mat,Mat,Mat);
376 PETSC_EXTERN PetscErrorCode MatResidual(Mat,Vec,Vec,Vec);
377 
378 /*E
379     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
380   its numerical values copied over or just its nonzero structure.
381 
382     Level: beginner
383 
384    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
385 
386 $   MAT_SHARE_NONZERO_PATTERN - the i and j arrays in the new matrix will be shared with the original matrix
387 $                               this also triggers the MAT_DO_NOT_COPY_VALUES option. This is used when you
388 $                               have several matrices with the same nonzero pattern.
389 
390 .seealso: MatDuplicate()
391 E*/
392 typedef enum {MAT_DO_NOT_COPY_VALUES,MAT_COPY_VALUES,MAT_SHARE_NONZERO_PATTERN} MatDuplicateOption;
393 
394 PETSC_EXTERN PetscErrorCode MatConvert(Mat,MatType,MatReuse,Mat*);
395 PETSC_EXTERN PetscErrorCode MatDuplicate(Mat,MatDuplicateOption,Mat*);
396 
397 
398 PETSC_EXTERN PetscErrorCode MatCopy(Mat,Mat,MatStructure);
399 PETSC_EXTERN PetscErrorCode MatView(Mat,PetscViewer);
400 PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat,PetscReal,PetscBool *);
401 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat,PetscBool *);
402 PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat,PetscReal,PetscBool *);
403 PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat,PetscBool *,PetscBool *);
404 PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat,PetscBool *,PetscBool *);
405 PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat,PetscBool  *,PetscInt *);
406 PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);
407 
408 PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
409 PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
410 PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
411 PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
412 
413 /*S
414      MatInfo - Context of matrix information, used with MatGetInfo()
415 
416    In Fortran this is simply a double precision array of dimension MAT_INFO_SIZE
417 
418    Level: intermediate
419 
420   Concepts: matrix^nonzero information
421 
422 .seealso:  MatGetInfo(), MatInfoType
423 S*/
424 typedef struct {
425   PetscLogDouble block_size;                         /* block size */
426   PetscLogDouble nz_allocated,nz_used,nz_unneeded;   /* number of nonzeros */
427   PetscLogDouble memory;                             /* memory allocated */
428   PetscLogDouble assemblies;                         /* number of matrix assemblies called */
429   PetscLogDouble mallocs;                            /* number of mallocs during MatSetValues() */
430   PetscLogDouble fill_ratio_given,fill_ratio_needed; /* fill ratio for LU/ILU */
431   PetscLogDouble factor_mallocs;                     /* number of mallocs during factorization */
432 } MatInfo;
433 
434 /*E
435     MatInfoType - Indicates if you want information about the local part of the matrix,
436      the entire parallel matrix or the maximum over all the local parts.
437 
438     Level: beginner
439 
440    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
441 
442 .seealso: MatGetInfo(), MatInfo
443 E*/
444 typedef enum {MAT_LOCAL=1,MAT_GLOBAL_MAX=2,MAT_GLOBAL_SUM=3} MatInfoType;
445 PETSC_EXTERN PetscErrorCode MatGetInfo(Mat,MatInfoType,MatInfo*);
446 PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat,Vec);
447 PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat,Vec,PetscInt[]);
448 PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat,Vec,PetscInt[]);
449 PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat,Vec,PetscInt[]);
450 PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat,Vec,PetscInt[]);
451 PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat,Vec);
452 PETSC_EXTERN PetscErrorCode MatTranspose(Mat,MatReuse,Mat*);
453 PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat,MatReuse,Mat*);
454 PETSC_EXTERN PetscErrorCode MatPermute(Mat,IS,IS,Mat*);
455 PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat,Vec,Vec);
456 PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat,Vec,InsertMode);
457 
458 PETSC_EXTERN PetscErrorCode MatEqual(Mat,Mat,PetscBool*);
459 PETSC_EXTERN PetscErrorCode MatMultEqual(Mat,Mat,PetscInt,PetscBool*);
460 PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat,Mat,PetscInt,PetscBool*);
461 PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat,Mat,PetscInt,PetscBool*);
462 PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat,Mat,PetscInt,PetscBool*);
463 PETSC_EXTERN PetscErrorCode MatMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
464 PETSC_EXTERN PetscErrorCode MatTransposeMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
465 
466 PETSC_EXTERN PetscErrorCode MatNorm(Mat,NormType,PetscReal*);
467 PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat,NormType,PetscReal*);
468 PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
469 PETSC_EXTERN PetscErrorCode MatZeroRows(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
470 PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat,IS,PetscScalar,Vec,Vec);
471 PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat,PetscInt,const MatStencil [],PetscScalar,Vec,Vec);
472 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat,PetscInt,const MatStencil[],PetscScalar,Vec,Vec);
473 PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
474 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat,IS,PetscScalar,Vec,Vec);
475 
476 PETSC_EXTERN PetscErrorCode MatGetSize(Mat,PetscInt*,PetscInt*);
477 PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat,PetscInt*,PetscInt*);
478 PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat,PetscInt*,PetscInt*);
479 PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat,const PetscInt**);
480 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat,PetscInt*,PetscInt*);
481 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat,const PetscInt**);
482 PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat,IS*,IS*);
483 
484 PETSC_EXTERN PetscErrorCode MatGetSubMatrices(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
485 PETSC_EXTERN PetscErrorCode MatGetSubMatricesMPI(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
486 PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt,Mat *[]);
487 PETSC_EXTERN PetscErrorCode MatGetSubMatrix(Mat,IS,IS,MatReuse,Mat *);
488 PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat,IS,IS,Mat*);
489 PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat,IS,IS,Mat*);
490 PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat,Mat*);
491 PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat*);
492 
493 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm,Mat,PetscInt,PetscInt,MatReuse,Mat*);
494 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm,Mat,PetscInt,PetscInt,Mat*);
495 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat,Mat);
496 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat,MatReuse,Mat*);
497 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat,MatReuse,IS*,IS*,Mat*);
498 PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat,Mat,MatReuse,IS*,IS*,Mat*);
499 PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *,const PetscInt *[]);
500 
501 PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat,PetscInt,IS[],PetscInt);
502 PETSC_EXTERN PetscErrorCode MatIncreaseOverlapSplit(Mat mat,PetscInt n,IS is[],PetscInt ov);
503 PETSC_EXTERN PetscErrorCode MatMPIAIJSetUseScalableIncreaseOverlap(Mat,PetscBool);
504 
505 PETSC_EXTERN PetscErrorCode MatMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
506 PETSC_EXTERN PetscErrorCode MatMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
507 PETSC_EXTERN PetscErrorCode MatMatMultNumeric(Mat,Mat,Mat);
508 
509 PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
510 
511 PETSC_EXTERN PetscErrorCode MatPtAP(Mat,Mat,MatReuse,PetscReal,Mat*);
512 PETSC_EXTERN PetscErrorCode MatPtAPSymbolic(Mat,Mat,PetscReal,Mat*);
513 PETSC_EXTERN PetscErrorCode MatPtAPNumeric(Mat,Mat,Mat);
514 PETSC_EXTERN PetscErrorCode MatRARt(Mat,Mat,MatReuse,PetscReal,Mat*);
515 PETSC_EXTERN PetscErrorCode MatRARtSymbolic(Mat,Mat,PetscReal,Mat*);
516 PETSC_EXTERN PetscErrorCode MatRARtNumeric(Mat,Mat,Mat);
517 
518 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
519 PETSC_EXTERN PetscErrorCode MatTransposetMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
520 PETSC_EXTERN PetscErrorCode MatTransposetMatMultNumeric(Mat,Mat,Mat);
521 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat,Mat,MatReuse,PetscReal,Mat*);
522 PETSC_EXTERN PetscErrorCode MatMatTransposeMultSymbolic(Mat,Mat,PetscReal,Mat*);
523 PETSC_EXTERN PetscErrorCode MatMatTransposeMultNumeric(Mat,Mat,Mat);
524 
525 PETSC_EXTERN PetscErrorCode MatAXPY(Mat,PetscScalar,Mat,MatStructure);
526 PETSC_EXTERN PetscErrorCode MatAYPX(Mat,PetscScalar,Mat,MatStructure);
527 
528 PETSC_EXTERN PetscErrorCode MatScale(Mat,PetscScalar);
529 PETSC_EXTERN PetscErrorCode MatShift(Mat,PetscScalar);
530 
531 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
532 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
533 PETSC_EXTERN PetscErrorCode MatGetLayouts(Mat,PetscLayout*,PetscLayout*);
534 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
535 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
536 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
537 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
538 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
539 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
540 
541 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat,PetscInt,PetscInt);
542 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat,PetscInt*,PetscInt*,PetscInt*,PetscInt*);
543 
544 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat,Vec,Vec);
545 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat,Vec,Vec,Vec);
546 PETSC_EXTERN PetscErrorCode MatRestrict(Mat,Vec,Vec);
547 PETSC_EXTERN PetscErrorCode MatCreateVecs(Mat,Vec*,Vec*);
548 PETSC_DEPRECATED("Use MatCreateVecs()") PETSC_STATIC_INLINE PetscErrorCode MatGetVecs(Mat mat,Vec *x,Vec *y) {return MatCreateVecs(mat,x,y);}
549 PETSC_EXTERN PetscErrorCode MatCreateRedundantMatrix(Mat,PetscInt,MPI_Comm,MatReuse,Mat*);
550 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat,MPI_Comm,MatReuse,Mat*);
551 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat,IS*);
552 PETSC_EXTERN PetscErrorCode MatFindOffBlockDiagonalEntries(Mat,IS*);
553 PETSC_EXTERN PetscErrorCode MatCreateMPIMatConcatenateSeqMat(MPI_Comm,Mat,PetscInt,MatReuse,Mat*);
554 
555 /*MC
556    MatSetValue - Set a single entry into a matrix.
557 
558    Not collective
559 
560    Synopsis:
561      #include <petscmat.h>
562      PetscErrorCode MatSetValue(Mat m,PetscInt row,PetscInt col,PetscScalar value,InsertMode mode)
563 
564    Input Parameters:
565 +  m - the matrix
566 .  row - the row location of the entry
567 .  col - the column location of the entry
568 .  value - the value to insert
569 -  mode - either INSERT_VALUES or ADD_VALUES
570 
571    Notes:
572    For efficiency one should use MatSetValues() and set several or many
573    values simultaneously if possible.
574 
575    Level: beginner
576 
577 .seealso: MatSetValues(), MatSetValueLocal()
578 M*/
579 PETSC_STATIC_INLINE PetscErrorCode MatSetValue(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValues(v,1,&i,1,&j,&va,mode);}
580 
581 PETSC_STATIC_INLINE PetscErrorCode MatGetValue(Mat v,PetscInt i,PetscInt j,PetscScalar *va) {return MatGetValues(v,1,&i,1,&j,va);}
582 
583 PETSC_STATIC_INLINE PetscErrorCode MatSetValueLocal(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValuesLocal(v,1,&i,1,&j,&va,mode);}
584 
585 /*MC
586    MatPreallocateInitialize - Begins the block of code that will count the number of nonzeros per
587        row in a matrix providing the data that one can use to correctly preallocate the matrix.
588 
589    Synopsis:
590    #include <petscmat.h>
591    PetscErrorCode MatPreallocateInitialize(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
592 
593    Collective on MPI_Comm
594 
595    Input Parameters:
596 +  comm - the communicator that will share the eventually allocated matrix
597 .  nrows - the number of LOCAL rows in the matrix
598 -  ncols - the number of LOCAL columns in the matrix
599 
600    Output Parameters:
601 +  dnz - the array that will be passed to the matrix preallocation routines
602 -  ozn - the other array passed to the matrix preallocation routines
603 
604    Level: intermediate
605 
606    Notes:
607     See Users-Manual: ch_performance for more details.
608 
609    Do not malloc or free dnz and onz, that is handled internally by these routines
610 
611    Use MatPreallocateInitializeSymmetric() for symmetric matrices (MPISBAIJ matrices)
612 
613    This is a MACRO not a function because it has a leading { that is closed by PetscPreallocateFinalize().
614 
615   Concepts: preallocation^Matrix
616 
617 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
618           MatPreallocateInitializeSymmetric(), MatPreallocateSymmetricSetLocalBlock()
619 M*/
620 #define MatPreallocateInitialize(comm,nrows,ncols,dnz,onz) 0; \
621 { \
622   PetscErrorCode _4_ierr; PetscInt __nrows = (nrows),__ctmp = (ncols),__rstart,__start,__end; \
623   _4_ierr = PetscCalloc2(__nrows,&dnz,__nrows,&onz);CHKERRQ(_4_ierr); \
624   __start = 0; __end = __start;                                         \
625   _4_ierr = MPI_Scan(&__ctmp,&__end,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __start = __end - __ctmp;\
626   _4_ierr = MPI_Scan(&__nrows,&__rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __nrows;
627 
628 /*MC
629    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
630        inserted using a local number of the rows and columns
631 
632    Synopsis:
633    #include <petscmat.h>
634    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
635 
636    Not Collective
637 
638    Input Parameters:
639 +  map - the row mapping from local numbering to global numbering
640 .  nrows - the number of rows indicated
641 .  rows - the indices of the rows
642 .  cmap - the column mapping from local to global numbering
643 .  ncols - the number of columns in the matrix
644 .  cols - the columns indicated
645 .  dnz - the array that will be passed to the matrix preallocation routines
646 -  ozn - the other array passed to the matrix preallocation routines
647 
648    Level: intermediate
649 
650    Notes:
651     See Users-Manual: ch_performance for more details.
652 
653    Do not malloc or free dnz and onz, that is handled internally by these routines
654 
655   Concepts: preallocation^Matrix
656 
657 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
658           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock()
659 M*/
660 #define MatPreallocateSetLocal(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
661 {\
662   PetscInt __l;\
663   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
664   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
665   for (__l=0;__l<nrows;__l++) {\
666     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
667   }\
668 }
669 
670 /*MC
671    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
672        inserted using a local number of the rows and columns
673 
674    Synopsis:
675    #include <petscmat.h>
676    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
677 
678    Not Collective
679 
680    Input Parameters:
681 +  map - the row mapping from local numbering to global numbering
682 .  nrows - the number of rows indicated
683 .  rows - the indices of the rows
684 .  cmap - the column mapping from local to global numbering
685 .  ncols - the number of columns in the matrix
686 .  cols - the columns indicated
687 .  dnz - the array that will be passed to the matrix preallocation routines
688 -  ozn - the other array passed to the matrix preallocation routines
689 
690    Level: intermediate
691 
692    Notes:
693     See Users-Manual: ch_performance for more details.
694 
695    Do not malloc or free dnz and onz, that is handled internally by these routines
696 
697   Concepts: preallocation^Matrix
698 
699 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
700           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock()
701 M*/
702 #define MatPreallocateSetLocalBlock(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
703 {\
704   PetscInt __l;\
705   _4_ierr = ISLocalToGlobalMappingApplyBlock(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
706   _4_ierr = ISLocalToGlobalMappingApplyBlock(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
707   for (__l=0;__l<nrows;__l++) {\
708     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
709   }\
710 }
711 
712 /*MC
713    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
714        inserted using a local number of the rows and columns
715 
716    Synopsis:
717    #include <petscmat.h>
718    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
719 
720    Not Collective
721 
722    Input Parameters:
723 +  map - the mapping between local numbering and global numbering
724 .  nrows - the number of rows indicated
725 .  rows - the indices of the rows
726 .  ncols - the number of columns in the matrix
727 .  cols - the columns indicated
728 .  dnz - the array that will be passed to the matrix preallocation routines
729 -  ozn - the other array passed to the matrix preallocation routines
730 
731    Level: intermediate
732 
733    Notes:
734     See Users-Manual: ch_performance for more details.
735 
736    Do not malloc or free dnz and onz that is handled internally by these routines
737 
738   Concepts: preallocation^Matrix
739 
740 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateInitialize(),
741           MatPreallocateInitialize(),  MatPreallocateSetLocal()
742 M*/
743 #define MatPreallocateSymmetricSetLocalBlock(map,nrows,rows,ncols,cols,dnz,onz) 0;\
744 {\
745   PetscInt __l;\
746   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
747   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
748   for (__l=0;__l<nrows;__l++) {\
749     _4_ierr = MatPreallocateSymmetricSetBlock((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
750   }\
751 }
752 /*MC
753    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
754        inserted using a local number of the rows and columns
755 
756    Synopsis:
757    #include <petscmat.h>
758    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
759 
760    Not Collective
761 
762    Input Parameters:
763 +  row - the row
764 .  ncols - the number of columns in the matrix
765 -  cols - the columns indicated
766 
767    Output Parameters:
768 +  dnz - the array that will be passed to the matrix preallocation routines
769 -  ozn - the other array passed to the matrix preallocation routines
770 
771    Level: intermediate
772 
773    Notes:
774     See Users-Manual: ch_performance for more details.
775 
776    Do not malloc or free dnz and onz that is handled internally by these routines
777 
778    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
779 
780   Concepts: preallocation^Matrix
781 
782 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
783           MatPreallocateInitialize(), MatPreallocateSetLocal()
784 M*/
785 #define MatPreallocateSet(row,nc,cols,dnz,onz) 0;\
786 { PetscInt __i; \
787   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);\
788   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);\
789   for (__i=0; __i<nc; __i++) {\
790     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
791     else dnz[row - __rstart]++;\
792   }\
793 }
794 
795 /*MC
796    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
797        inserted using a local number of the rows and columns
798 
799    Synopsis:
800    #include <petscmat.h>
801    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
802 
803    Not Collective
804 
805    Input Parameters:
806 +  nrows - the number of rows indicated
807 .  rows - the indices of the rows
808 .  ncols - the number of columns in the matrix
809 .  cols - the columns indicated
810 .  dnz - the array that will be passed to the matrix preallocation routines
811 -  ozn - the other array passed to the matrix preallocation routines
812 
813    Level: intermediate
814 
815    Notes:
816     See Users-Manual: ch_performance for more details.
817 
818    Do not malloc or free dnz and onz that is handled internally by these routines
819 
820    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
821 
822   Concepts: preallocation^Matrix
823 
824 .seealso: MatPreallocateFinalize(), MatPreallocateSet(),  MatPreallocateInitialize(),
825           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
826 M*/
827 #define MatPreallocateSymmetricSetBlock(row,nc,cols,dnz,onz) 0;\
828 { PetscInt __i; \
829   for (__i=0; __i<nc; __i++) {\
830     if (cols[__i] >= __end) onz[row - __rstart]++; \
831     else if (cols[__i] >= row) dnz[row - __rstart]++;\
832   }\
833 }
834 
835 /*MC
836    MatPreallocateLocation -  An alternative to MatPreallocationSet() that puts the nonzero locations into the matrix if it exists
837 
838    Synopsis:
839    #include <petscmat.h>
840    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
841 
842    Not Collective
843 
844    Input Parameters:
845 .  A - matrix
846 .  row - row where values exist (must be local to this process)
847 .  ncols - number of columns
848 .  cols - columns with nonzeros
849 .  dnz - the array that will be passed to the matrix preallocation routines
850 -  ozn - the other array passed to the matrix preallocation routines
851 
852    Level: intermediate
853 
854    Notes:
855     See Users-Manual: ch_performance for more details.
856 
857    Do not malloc or free dnz and onz that is handled internally by these routines
858 
859    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
860 
861   Concepts: preallocation^Matrix
862 
863 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
864           MatPreallocateSymmetricSetLocalBlock()
865 M*/
866 #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);}
867 
868 
869 /*MC
870    MatPreallocateFinalize - Ends the block of code that will count the number of nonzeros per
871        row in a matrix providing the data that one can use to correctly preallocate the matrix.
872 
873    Synopsis:
874    #include <petscmat.h>
875    PetscErrorCode MatPreallocateFinalize(PetscInt *dnz, PetscInt *onz)
876 
877    Collective on MPI_Comm
878 
879    Input Parameters:
880 +  dnz - the array that was be passed to the matrix preallocation routines
881 -  ozn - the other array passed to the matrix preallocation routines
882 
883    Level: intermediate
884 
885    Notes:
886     See Users-Manual: ch_performance for more details.
887 
888    Do not malloc or free dnz and onz that is handled internally by these routines
889 
890    This is a MACRO not a function because it closes the { started in MatPreallocateInitialize().
891 
892   Concepts: preallocation^Matrix
893 
894 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
895           MatPreallocateSymmetricSetLocalBlock()
896 M*/
897 #define MatPreallocateFinalize(dnz,onz) 0;_4_ierr = PetscFree2(dnz,onz);CHKERRQ(_4_ierr);}
898 
899 /* Routines unique to particular data structures */
900 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat,void *);
901 
902 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat,IS*,IS*);
903 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat,PetscInt *,PetscInt *[],PetscInt *);
904 
905 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat,PetscInt[]);
906 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat,PetscInt[]);
907 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
908 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
909 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
910 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*,PetscInt,PetscBool);
911 
912 #define MAT_SKIP_ALLOCATION -4
913 
914 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
915 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
916 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat,PetscInt,const PetscInt[]);
917 
918 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
919 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
920 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
921 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat,const PetscInt [],const PetscInt [],const PetscScalar []);
922 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
923 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]);
924 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
925 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat,PetscInt[],PetscInt[],PetscInt[]);
926 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
927 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
928 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
929 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
930 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat,Mat*);
931 
932 PETSC_EXTERN PetscErrorCode MatISSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
933 PETSC_EXTERN PetscErrorCode MatSeqDenseSetLDA(Mat,PetscInt);
934 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat,Mat*);
935 
936 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
937 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
938 
939 PETSC_EXTERN PetscErrorCode MatDAADSetCtx(Mat,void*);
940 
941 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(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