xref: /petsc/include/petscmat.h (revision e923053f465b4e177f550f99f5671936a6e24876)
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 
509 PETSC_EXTERN PetscErrorCode MatPtAP(Mat,Mat,MatReuse,PetscReal,Mat*);
510 PETSC_EXTERN PetscErrorCode MatPtAPSymbolic(Mat,Mat,PetscReal,Mat*);
511 PETSC_EXTERN PetscErrorCode MatPtAPNumeric(Mat,Mat,Mat);
512 PETSC_EXTERN PetscErrorCode MatRARt(Mat,Mat,MatReuse,PetscReal,Mat*);
513 PETSC_EXTERN PetscErrorCode MatRARtSymbolic(Mat,Mat,PetscReal,Mat*);
514 PETSC_EXTERN PetscErrorCode MatRARtNumeric(Mat,Mat,Mat);
515 
516 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
517 PETSC_EXTERN PetscErrorCode MatTransposetMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
518 PETSC_EXTERN PetscErrorCode MatTransposetMatMultNumeric(Mat,Mat,Mat);
519 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat,Mat,MatReuse,PetscReal,Mat*);
520 PETSC_EXTERN PetscErrorCode MatMatTransposeMultSymbolic(Mat,Mat,PetscReal,Mat*);
521 PETSC_EXTERN PetscErrorCode MatMatTransposeMultNumeric(Mat,Mat,Mat);
522 
523 PETSC_EXTERN PetscErrorCode MatAXPY(Mat,PetscScalar,Mat,MatStructure);
524 PETSC_EXTERN PetscErrorCode MatAYPX(Mat,PetscScalar,Mat,MatStructure);
525 
526 PETSC_EXTERN PetscErrorCode MatScale(Mat,PetscScalar);
527 PETSC_EXTERN PetscErrorCode MatShift(Mat,PetscScalar);
528 
529 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
530 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
531 PETSC_EXTERN PetscErrorCode MatGetLayouts(Mat,PetscLayout*,PetscLayout*);
532 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
533 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
534 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
535 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
536 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
537 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
538 
539 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat,PetscInt,PetscInt);
540 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat,PetscInt*,PetscInt*,PetscInt*,PetscInt*);
541 
542 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat,Vec,Vec);
543 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat,Vec,Vec,Vec);
544 PETSC_EXTERN PetscErrorCode MatRestrict(Mat,Vec,Vec);
545 PETSC_EXTERN PetscErrorCode MatCreateVecs(Mat,Vec*,Vec*);
546 PETSC_DEPRECATED("Use MatCreateVecs()") PETSC_STATIC_INLINE PetscErrorCode MatGetVecs(Mat mat,Vec *x,Vec *y) {return MatCreateVecs(mat,x,y);}
547 PETSC_EXTERN PetscErrorCode MatCreateRedundantMatrix(Mat,PetscInt,MPI_Comm,MatReuse,Mat*);
548 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat,MPI_Comm,MatReuse,Mat*);
549 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat,IS*);
550 PETSC_EXTERN PetscErrorCode MatFindOffBlockDiagonalEntries(Mat,IS*);
551 PETSC_EXTERN PetscErrorCode MatCreateMPIMatConcatenateSeqMat(MPI_Comm,Mat,PetscInt,MatReuse,Mat*);
552 
553 /*MC
554    MatSetValue - Set a single entry into a matrix.
555 
556    Not collective
557 
558    Synopsis:
559      #include <petscmat.h>
560      PetscErrorCode MatSetValue(Mat m,PetscInt row,PetscInt col,PetscScalar value,InsertMode mode)
561 
562    Input Parameters:
563 +  m - the matrix
564 .  row - the row location of the entry
565 .  col - the column location of the entry
566 .  value - the value to insert
567 -  mode - either INSERT_VALUES or ADD_VALUES
568 
569    Notes:
570    For efficiency one should use MatSetValues() and set several or many
571    values simultaneously if possible.
572 
573    Level: beginner
574 
575 .seealso: MatSetValues(), MatSetValueLocal()
576 M*/
577 PETSC_STATIC_INLINE PetscErrorCode MatSetValue(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValues(v,1,&i,1,&j,&va,mode);}
578 
579 PETSC_STATIC_INLINE PetscErrorCode MatGetValue(Mat v,PetscInt i,PetscInt j,PetscScalar *va) {return MatGetValues(v,1,&i,1,&j,va);}
580 
581 PETSC_STATIC_INLINE PetscErrorCode MatSetValueLocal(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValuesLocal(v,1,&i,1,&j,&va,mode);}
582 
583 /*MC
584    MatPreallocateInitialize - Begins the block of code that will count the number of nonzeros per
585        row in a matrix providing the data that one can use to correctly preallocate the matrix.
586 
587    Synopsis:
588    #include <petscmat.h>
589    PetscErrorCode MatPreallocateInitialize(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
590 
591    Collective on MPI_Comm
592 
593    Input Parameters:
594 +  comm - the communicator that will share the eventually allocated matrix
595 .  nrows - the number of LOCAL rows in the matrix
596 -  ncols - the number of LOCAL columns in the matrix
597 
598    Output Parameters:
599 +  dnz - the array that will be passed to the matrix preallocation routines
600 -  ozn - the other array passed to the matrix preallocation routines
601 
602    Level: intermediate
603 
604    Notes:
605     See Users-Manual: ch_performance for more details.
606 
607    Do not malloc or free dnz and onz, that is handled internally by these routines
608 
609    Use MatPreallocateInitializeSymmetric() for symmetric matrices (MPISBAIJ matrices)
610 
611    This is a MACRO not a function because it has a leading { that is closed by PetscPreallocateFinalize().
612 
613   Concepts: preallocation^Matrix
614 
615 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
616           MatPreallocateInitializeSymmetric(), MatPreallocateSymmetricSetLocalBlock()
617 M*/
618 #define MatPreallocateInitialize(comm,nrows,ncols,dnz,onz) 0; \
619 { \
620   PetscErrorCode _4_ierr; PetscInt __nrows = (nrows),__ctmp = (ncols),__rstart,__start,__end; \
621   _4_ierr = PetscCalloc2(__nrows,&dnz,__nrows,&onz);CHKERRQ(_4_ierr); \
622   __start = 0; __end = __start;                                         \
623   _4_ierr = MPI_Scan(&__ctmp,&__end,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __start = __end - __ctmp;\
624   _4_ierr = MPI_Scan(&__nrows,&__rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __nrows;
625 
626 /*MC
627    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
628        inserted using a local number of the rows and columns
629 
630    Synopsis:
631    #include <petscmat.h>
632    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
633 
634    Not Collective
635 
636    Input Parameters:
637 +  map - the row mapping from local numbering to global numbering
638 .  nrows - the number of rows indicated
639 .  rows - the indices of the rows
640 .  cmap - the column mapping from local to global numbering
641 .  ncols - the number of columns in the matrix
642 .  cols - the columns indicated
643 .  dnz - the array that will be passed to the matrix preallocation routines
644 -  ozn - the other array passed to the matrix preallocation routines
645 
646    Level: intermediate
647 
648    Notes:
649     See Users-Manual: ch_performance for more details.
650 
651    Do not malloc or free dnz and onz, that is handled internally by these routines
652 
653   Concepts: preallocation^Matrix
654 
655 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
656           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock()
657 M*/
658 #define MatPreallocateSetLocal(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
659 {\
660   PetscInt __l;\
661   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
662   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
663   for (__l=0;__l<nrows;__l++) {\
664     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
665   }\
666 }
667 
668 /*MC
669    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
670        inserted using a local number of the rows and columns
671 
672    Synopsis:
673    #include <petscmat.h>
674    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
675 
676    Not Collective
677 
678    Input Parameters:
679 +  map - the row mapping from local numbering to global numbering
680 .  nrows - the number of rows indicated
681 .  rows - the indices of the rows
682 .  cmap - the column mapping from local to global numbering
683 .  ncols - the number of columns in the matrix
684 .  cols - the columns indicated
685 .  dnz - the array that will be passed to the matrix preallocation routines
686 -  ozn - the other array passed to the matrix preallocation routines
687 
688    Level: intermediate
689 
690    Notes:
691     See Users-Manual: ch_performance for more details.
692 
693    Do not malloc or free dnz and onz, that is handled internally by these routines
694 
695   Concepts: preallocation^Matrix
696 
697 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
698           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock()
699 M*/
700 #define MatPreallocateSetLocalBlock(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
701 {\
702   PetscInt __l;\
703   _4_ierr = ISLocalToGlobalMappingApplyBlock(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
704   _4_ierr = ISLocalToGlobalMappingApplyBlock(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
705   for (__l=0;__l<nrows;__l++) {\
706     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
707   }\
708 }
709 
710 /*MC
711    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
712        inserted using a local number of the rows and columns
713 
714    Synopsis:
715    #include <petscmat.h>
716    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
717 
718    Not Collective
719 
720    Input Parameters:
721 +  map - the mapping between local numbering and global numbering
722 .  nrows - the number of rows indicated
723 .  rows - the indices of the rows
724 .  ncols - the number of columns in the matrix
725 .  cols - the columns indicated
726 .  dnz - the array that will be passed to the matrix preallocation routines
727 -  ozn - the other array passed to the matrix preallocation routines
728 
729    Level: intermediate
730 
731    Notes:
732     See Users-Manual: ch_performance for more details.
733 
734    Do not malloc or free dnz and onz that is handled internally by these routines
735 
736   Concepts: preallocation^Matrix
737 
738 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateInitialize(),
739           MatPreallocateInitialize(),  MatPreallocateSetLocal()
740 M*/
741 #define MatPreallocateSymmetricSetLocalBlock(map,nrows,rows,ncols,cols,dnz,onz) 0;\
742 {\
743   PetscInt __l;\
744   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
745   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
746   for (__l=0;__l<nrows;__l++) {\
747     _4_ierr = MatPreallocateSymmetricSetBlock((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
748   }\
749 }
750 /*MC
751    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
752        inserted using a local number of the rows and columns
753 
754    Synopsis:
755    #include <petscmat.h>
756    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
757 
758    Not Collective
759 
760    Input Parameters:
761 +  row - the row
762 .  ncols - the number of columns in the matrix
763 -  cols - the columns indicated
764 
765    Output Parameters:
766 +  dnz - the array that will be passed to the matrix preallocation routines
767 -  ozn - the other array passed to the matrix preallocation routines
768 
769    Level: intermediate
770 
771    Notes:
772     See Users-Manual: ch_performance for more details.
773 
774    Do not malloc or free dnz and onz that is handled internally by these routines
775 
776    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
777 
778   Concepts: preallocation^Matrix
779 
780 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
781           MatPreallocateInitialize(), MatPreallocateSetLocal()
782 M*/
783 #define MatPreallocateSet(row,nc,cols,dnz,onz) 0;\
784 { PetscInt __i; \
785   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);\
786   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);\
787   for (__i=0; __i<nc; __i++) {\
788     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
789     else dnz[row - __rstart]++;\
790   }\
791 }
792 
793 /*MC
794    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
795        inserted using a local number of the rows and columns
796 
797    Synopsis:
798    #include <petscmat.h>
799    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
800 
801    Not Collective
802 
803    Input Parameters:
804 +  nrows - the number of rows indicated
805 .  rows - the indices of the rows
806 .  ncols - the number of columns in the matrix
807 .  cols - the columns indicated
808 .  dnz - the array that will be passed to the matrix preallocation routines
809 -  ozn - the other array passed to the matrix preallocation routines
810 
811    Level: intermediate
812 
813    Notes:
814     See Users-Manual: ch_performance for more details.
815 
816    Do not malloc or free dnz and onz that is handled internally by these routines
817 
818    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
819 
820   Concepts: preallocation^Matrix
821 
822 .seealso: MatPreallocateFinalize(), MatPreallocateSet(),  MatPreallocateInitialize(),
823           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
824 M*/
825 #define MatPreallocateSymmetricSetBlock(row,nc,cols,dnz,onz) 0;\
826 { PetscInt __i; \
827   for (__i=0; __i<nc; __i++) {\
828     if (cols[__i] >= __end) onz[row - __rstart]++; \
829     else if (cols[__i] >= row) dnz[row - __rstart]++;\
830   }\
831 }
832 
833 /*MC
834    MatPreallocateLocation -  An alternative to MatPreallocationSet() that puts the nonzero locations into the matrix if it exists
835 
836    Synopsis:
837    #include <petscmat.h>
838    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
839 
840    Not Collective
841 
842    Input Parameters:
843 .  A - matrix
844 .  row - row where values exist (must be local to this process)
845 .  ncols - number of columns
846 .  cols - columns with nonzeros
847 .  dnz - the array that will be passed to the matrix preallocation routines
848 -  ozn - the other array passed to the matrix preallocation routines
849 
850    Level: intermediate
851 
852    Notes:
853     See Users-Manual: ch_performance for more details.
854 
855    Do not malloc or free dnz and onz that is handled internally by these routines
856 
857    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
858 
859   Concepts: preallocation^Matrix
860 
861 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
862           MatPreallocateSymmetricSetLocalBlock()
863 M*/
864 #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);}
865 
866 
867 /*MC
868    MatPreallocateFinalize - Ends the block of code that will count the number of nonzeros per
869        row in a matrix providing the data that one can use to correctly preallocate the matrix.
870 
871    Synopsis:
872    #include <petscmat.h>
873    PetscErrorCode MatPreallocateFinalize(PetscInt *dnz, PetscInt *onz)
874 
875    Collective on MPI_Comm
876 
877    Input Parameters:
878 +  dnz - the array that was be passed to the matrix preallocation routines
879 -  ozn - the other array passed to the matrix preallocation routines
880 
881    Level: intermediate
882 
883    Notes:
884     See Users-Manual: ch_performance for more details.
885 
886    Do not malloc or free dnz and onz that is handled internally by these routines
887 
888    This is a MACRO not a function because it closes the { started in MatPreallocateInitialize().
889 
890   Concepts: preallocation^Matrix
891 
892 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
893           MatPreallocateSymmetricSetLocalBlock()
894 M*/
895 #define MatPreallocateFinalize(dnz,onz) 0;_4_ierr = PetscFree2(dnz,onz);CHKERRQ(_4_ierr);}
896 
897 /* Routines unique to particular data structures */
898 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat,void *);
899 
900 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat,IS*,IS*);
901 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat,PetscInt *,PetscInt *[],PetscInt *);
902 
903 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat,PetscInt[]);
904 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat,PetscInt[]);
905 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
906 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
907 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
908 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*,PetscInt,PetscBool);
909 
910 #define MAT_SKIP_ALLOCATION -4
911 
912 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
913 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
914 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat,PetscInt,const PetscInt[]);
915 
916 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
917 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
918 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
919 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat,const PetscInt [],const PetscInt [],const PetscScalar []);
920 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
921 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]);
922 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
923 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat,PetscInt[],PetscInt[],PetscInt[]);
924 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
925 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
926 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
927 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
928 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat,Mat*);
929 
930 PETSC_EXTERN PetscErrorCode MatISSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
931 PETSC_EXTERN PetscErrorCode MatISSetUpSF(Mat);
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 /*
942   These routines are not usually accessed directly, rather solving is
943   done through the KSP and PC interfaces.
944 */
945 
946 /*J
947     MatOrderingType - String with the name of a PETSc matrix ordering
948 
949    Level: beginner
950 
951 .seealso: MatGetOrdering()
952 J*/
953 typedef const char* MatOrderingType;
954 #define MATORDERINGNATURAL     "natural"
955 #define MATORDERINGND          "nd"
956 #define MATORDERING1WD         "1wd"
957 #define MATORDERINGRCM         "rcm"
958 #define MATORDERINGQMD         "qmd"
959 #define MATORDERINGROWLENGTH   "rowlength"
960 #define MATORDERINGWBM         "wbm"
961 #define MATORDERINGSPECTRAL    "spectral"
962 #define MATORDERINGAMD         "amd"            /* only works if UMFPACK is installed with PETSc */
963 
964 PETSC_EXTERN PetscErrorCode MatGetOrdering(Mat,MatOrderingType,IS*,IS*);
965 PETSC_EXTERN PetscErrorCode MatGetOrderingList(PetscFunctionList*);
966 PETSC_EXTERN PetscErrorCode MatOrderingRegister(const char[],PetscErrorCode(*)(Mat,MatOrderingType,IS*,IS*));
967 PETSC_EXTERN PetscFunctionList MatOrderingList;
968 
969 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
970 PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat,PetscReal,PetscBool,Mat*);
971 
972 /*S
973     MatFactorShiftType - Numeric Shift.
974 
975    Level: beginner
976 
977 S*/
978 typedef enum {MAT_SHIFT_NONE,MAT_SHIFT_NONZERO,MAT_SHIFT_POSITIVE_DEFINITE,MAT_SHIFT_INBLOCKS} MatFactorShiftType;
979 PETSC_EXTERN const char *const MatFactorShiftTypes[];
980 PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];
981 
982 /*S
983     MatFactorError - indicates what type of error in matrix factor
984 
985     Level: beginner
986 
987     Developer Notes: Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
988 
989 .seealso: MatGetFactor()
990 S*/
991 typedef enum {MAT_FACTOR_NOERROR,MAT_FACTOR_STRUCT_ZEROPIVOT,MAT_FACTOR_NUMERIC_ZEROPIVOT,MAT_FACTOR_OUTMEMORY,MAT_FACTOR_OTHER} MatFactorError;
992 
993 PETSC_EXTERN PetscErrorCode MatFactorGetError(Mat,MatFactorError*);
994 PETSC_EXTERN PetscErrorCode MatFactorClearError(Mat);
995 PETSC_EXTERN PetscErrorCode MatFactorGetErrorZeroPivot(Mat,PetscReal*,PetscInt*);
996 
997 /*S
998    MatFactorInfo - Data passed into the matrix factorization routines, and information about the resulting factorization
999 
1000    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE, that is use
1001 $     MatFactorInfo  info(MAT_FACTORINFO_SIZE)
1002 
1003    Notes: These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
1004 
1005       You can use MatFactorInfoInitialize() to set default values.
1006 
1007    Level: developer
1008 
1009 .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor(),
1010           MatFactorInfoInitialize()
1011 
1012 S*/
1013 typedef struct {
1014   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
1015   PetscReal     usedt;
1016   PetscReal     dt;             /* drop tolerance */
1017   PetscReal     dtcol;          /* tolerance for pivoting */
1018   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
1019   PetscReal     fill;           /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1020   PetscReal     levels;         /* ICC/ILU(levels) */
1021   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1022                                    factorization may be faster if do not pivot */
1023   PetscReal     zeropivot;      /* pivot is called zero if less than this */
1024   PetscReal     shifttype;      /* type of shift added to matrix factor to prevent zero pivots */
1025   PetscReal     shiftamount;     /* how large the shift is */
1026 } MatFactorInfo;
1027 
1028 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo*);
1029 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat,IS,const MatFactorInfo*);
1030 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1031 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat,Mat,const MatFactorInfo*);
1032 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat,IS,IS,const MatFactorInfo*);
1033 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat,IS,IS,const MatFactorInfo*);
1034 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1035 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1036 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1037 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat,IS,const MatFactorInfo*);
1038 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat,Mat,const MatFactorInfo*);
1039 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat,PetscInt*,PetscInt*,PetscInt*);
1040 PETSC_EXTERN PetscErrorCode MatSolve(Mat,Vec,Vec);
1041 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat,Vec,Vec);
1042 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat,Vec,Vec);
1043 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat,Vec,Vec,Vec);
1044 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat,Vec,Vec);
1045 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
1046 PETSC_EXTERN PetscErrorCode MatSolves(Mat,Vecs,Vecs);
1047 PETSC_EXTERN PetscErrorCode MatFactorSetSchurIS(Mat,IS);
1048 PETSC_EXTERN PetscErrorCode MatFactorGetSchurComplement(Mat,Mat*);
1049 PETSC_EXTERN PetscErrorCode MatFactorRestoreSchurComplement(Mat,Mat*);
1050 PETSC_EXTERN PetscErrorCode MatFactorInvertSchurComplement(Mat);
1051 PETSC_EXTERN PetscErrorCode MatFactorCreateSchurComplement(Mat,Mat*);
1052 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplement(Mat,Vec,Vec);
1053 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplementTranspose(Mat,Vec,Vec);
1054 PETSC_EXTERN PetscErrorCode MatFactorFactorizeSchurComplement(Mat);
1055 PETSC_EXTERN PetscErrorCode MatFactorSetSchurComplementSolverType(Mat,PetscInt);
1056 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
1057 
1058 /*E
1059     MatSORType - What type of (S)SOR to perform
1060 
1061     Level: beginner
1062 
1063    May be bitwise ORd together
1064 
1065    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1066 
1067    MatSORType may be bitwise ORd together, so do not change the numbers
1068 
1069 .seealso: MatSOR()
1070 E*/
1071 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
1072               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
1073               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
1074               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
1075 PETSC_EXTERN PetscErrorCode MatSOR(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
1076 
1077 /*
1078     These routines are for efficiently computing Jacobians via finite differences.
1079 */
1080 
1081 /*S
1082      MatColoring - Object for managing the coloring of matrices.
1083 
1084    Level: beginner
1085 
1086   Concepts: matrix, coloring
1087 
1088 .seealso:  MatFDColoringCreate() ISColoring MatFDColoring
1089 S*/
1090 typedef struct _p_MatColoring* MatColoring;
1091 /*J
1092     MatColoringType - String with the name of a PETSc matrix coloring
1093 
1094    Level: beginner
1095 
1096 .seealso: MatColoringSetType(), MatColoring
1097 J*/
1098 
1099 typedef const  char*           MatColoringType;
1100 #define MATCOLORINGJP      "jp"
1101 #define MATCOLORINGPOWER   "power"
1102 #define MATCOLORINGNATURAL "natural"
1103 #define MATCOLORINGSL      "sl"
1104 #define MATCOLORINGLF      "lf"
1105 #define MATCOLORINGID      "id"
1106 #define MATCOLORINGGREEDY  "greedy"
1107 
1108 /*E
1109    MatColoringWeightType - Type of weight scheme
1110 
1111     Not Collective
1112 
1113 +   MAT_COLORING_RANDOM  - Random weights
1114 .   MAT_COLORING_LEXICAL - Lexical weighting based upon global numbering.
1115 -   MAT_COLORING_LF      - Last-first weighting.
1116 
1117     Level: intermediate
1118 
1119    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1120 
1121 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1122 E*/
1123 typedef enum {MAT_COLORING_WEIGHT_RANDOM,MAT_COLORING_WEIGHT_LEXICAL,MAT_COLORING_WEIGHT_LF,MAT_COLORING_WEIGHT_SL} MatColoringWeightType;
1124 
1125 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat,MatColoring*);
1126 PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat,PetscInt,PetscInt*);
1127 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring*);
1128 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring,PetscViewer);
1129 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring,MatColoringType);
1130 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1131 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring,PetscInt);
1132 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring,PetscInt*);
1133 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring,PetscInt);
1134 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring,PetscInt*);
1135 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring,ISColoring*);
1136 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[],PetscErrorCode(*)(MatColoring));
1137 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat,PetscInt,PetscInt,ISColoringValue[],ISColoring*);
1138 PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring,MatColoringWeightType);
1139 PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring,PetscReal*,PetscInt*);
1140 PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring,PetscReal **,PetscInt **lperm);
1141 PETSC_EXTERN PetscErrorCode MatColoringTestValid(MatColoring,ISColoring);
1142 
1143 /*S
1144      MatFDColoring - Object for computing a sparse Jacobian via finite differences
1145         and coloring
1146 
1147    Level: beginner
1148 
1149   Concepts: coloring, sparse Jacobian, finite differences
1150 
1151 .seealso:  MatFDColoringCreate()
1152 S*/
1153 typedef struct _p_MatFDColoring* MatFDColoring;
1154 
1155 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
1156 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring*);
1157 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring,PetscViewer);
1158 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring,PetscErrorCode (*)(void),void*);
1159 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring,PetscErrorCode (**)(void),void**);
1160 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
1161 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1162 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat,MatFDColoring,Vec,void *);
1163 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring,Vec);
1164 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring,PetscInt*,PetscInt*[]);
1165 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat,ISColoring,MatFDColoring);
1166 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring,PetscInt,PetscInt);
1167 
1168 
1169 /*S
1170      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring
1171 
1172    Level: beginner
1173 
1174   Concepts: coloring, sparse matrix product
1175 
1176 .seealso:  MatTransposeColoringCreate()
1177 S*/
1178 typedef struct _p_MatTransposeColoring* MatTransposeColoring;
1179 
1180 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat,ISColoring,MatTransposeColoring *);
1181 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring,Mat,Mat);
1182 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring,Mat,Mat);
1183 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring*);
1184 
1185 /*
1186     These routines are for partitioning matrices: currently used only
1187   for adjacency matrix, MatCreateMPIAdj().
1188 */
1189 
1190 /*S
1191      MatPartitioning - Object for managing the partitioning of a matrix or graph
1192 
1193    Level: beginner
1194 
1195   Concepts: partitioning
1196 
1197 .seealso:  MatPartitioningCreate(), MatPartitioningType
1198 S*/
1199 typedef struct _p_MatPartitioning* MatPartitioning;
1200 
1201 /*J
1202     MatPartitioningType - String with the name of a PETSc matrix partitioning
1203 
1204    Level: beginner
1205 dm
1206 .seealso: MatPartitioningCreate(), MatPartitioning
1207 J*/
1208 typedef const char* MatPartitioningType;
1209 #define MATPARTITIONINGCURRENT  "current"
1210 #define MATPARTITIONINGAVERAGE   "average"
1211 #define MATPARTITIONINGSQUARE   "square"
1212 #define MATPARTITIONINGPARMETIS "parmetis"
1213 #define MATPARTITIONINGCHACO    "chaco"
1214 #define MATPARTITIONINGPARTY    "party"
1215 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1216 #define MATPARTITIONINGHIERARCH  "hierarch"
1217 
1218 
1219 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1220 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning,MatPartitioningType);
1221 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning,PetscInt);
1222 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning,Mat);
1223 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning,const PetscInt[]);
1224 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1225 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning,IS*);
1226 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning*);
1227 
1228 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[],PetscErrorCode (*)(MatPartitioning));
1229 
1230 
1231 
1232 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning,PetscViewer);
1233 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1234 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
1235 
1236 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetRepartition(MatPartitioning part);
1237 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1238 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1239 
1240 typedef enum { MP_CHACO_MULTILEVEL=1,MP_CHACO_SPECTRAL=2,MP_CHACO_LINEAR=4,MP_CHACO_RANDOM=5,MP_CHACO_SCATTERED=6 } MPChacoGlobalType;
1241 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1242 typedef enum { MP_CHACO_KERNIGHAN=1,MP_CHACO_NONE=2 } MPChacoLocalType;
1243 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1244 typedef enum { MP_CHACO_LANCZOS=0,MP_CHACO_RQI=1 } MPChacoEigenType;
1245 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1246 
1247 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning,MPChacoGlobalType);
1248 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning,MPChacoGlobalType*);
1249 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning,MPChacoLocalType);
1250 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning,MPChacoLocalType*);
1251 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning,PetscReal);
1252 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning,MPChacoEigenType);
1253 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning,MPChacoEigenType*);
1254 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning,PetscReal);
1255 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning,PetscReal*);
1256 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning,PetscInt);
1257 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning,PetscInt*);
1258 
1259 #define MP_PARTY_OPT "opt"
1260 #define MP_PARTY_LIN "lin"
1261 #define MP_PARTY_SCA "sca"
1262 #define MP_PARTY_RAN "ran"
1263 #define MP_PARTY_GBF "gbf"
1264 #define MP_PARTY_GCF "gcf"
1265 #define MP_PARTY_BUB "bub"
1266 #define MP_PARTY_DEF "def"
1267 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning,const char*);
1268 #define MP_PARTY_HELPFUL_SETS "hs"
1269 #define MP_PARTY_KERNIGHAN_LIN "kl"
1270 #define MP_PARTY_NONE "no"
1271 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning,const char*);
1272 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning,PetscReal);
1273 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning,PetscBool);
1274 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning,PetscBool);
1275 
1276 typedef enum { MP_PTSCOTCH_QUALITY,MP_PTSCOTCH_SPEED,MP_PTSCOTCH_BALANCE,MP_PTSCOTCH_SAFETY,MP_PTSCOTCH_SCALABILITY } MPPTScotchStrategyType;
1277 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1278 
1279 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning,PetscReal);
1280 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning,PetscReal*);
1281 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning,MPPTScotchStrategyType);
1282 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning,MPPTScotchStrategyType*);
1283 
1284 /*
1285  * hierarchical partitioning
1286  */
1287 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetFineparts(MatPartitioning,IS*);
1288 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetCoarseparts(MatPartitioning,IS*);
1289 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNcoarseparts(MatPartitioning,PetscInt);
1290 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNfineparts(MatPartitioning, PetscInt);
1291 
1292 PETSC_EXTERN PetscErrorCode MatMeshToVertexGraph(Mat,PetscInt,Mat*);
1293 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat,PetscInt,Mat*);
1294 
1295 /*
1296     If you add entries here you must also add them to petsc/finclude/petscmat.h
1297 */
1298 typedef enum { MATOP_SET_VALUES=0,
1299                MATOP_GET_ROW=1,
1300                MATOP_RESTORE_ROW=2,
1301                MATOP_MULT=3,
1302                MATOP_MULT_ADD=4,
1303                MATOP_MULT_TRANSPOSE=5,
1304                MATOP_MULT_TRANSPOSE_ADD=6,
1305                MATOP_SOLVE=7,
1306                MATOP_SOLVE_ADD=8,
1307                MATOP_SOLVE_TRANSPOSE=9,
1308                MATOP_SOLVE_TRANSPOSE_ADD=10,
1309                MATOP_LUFACTOR=11,
1310                MATOP_CHOLESKYFACTOR=12,
1311                MATOP_SOR=13,
1312                MATOP_TRANSPOSE=14,
1313                MATOP_GETINFO=15,
1314                MATOP_EQUAL=16,
1315                MATOP_GET_DIAGONAL=17,
1316                MATOP_DIAGONAL_SCALE=18,
1317                MATOP_NORM=19,
1318                MATOP_ASSEMBLY_BEGIN=20,
1319                MATOP_ASSEMBLY_END=21,
1320                MATOP_SET_OPTION=22,
1321                MATOP_ZERO_ENTRIES=23,
1322                MATOP_ZERO_ROWS=24,
1323                MATOP_LUFACTOR_SYMBOLIC=25,
1324                MATOP_LUFACTOR_NUMERIC=26,
1325                MATOP_CHOLESKY_FACTOR_SYMBOLIC=27,
1326                MATOP_CHOLESKY_FACTOR_NUMERIC=28,
1327                MATOP_SETUP_PREALLOCATION=29,
1328                MATOP_ILUFACTOR_SYMBOLIC=30,
1329                MATOP_ICCFACTOR_SYMBOLIC=31,
1330                MATOP_GET_DIAGONAL_BLOCK=32,
1331                /* MATOP_PLACEHOLDER_33=33, */
1332                MATOP_DUPLICATE=34,
1333                MATOP_FORWARD_SOLVE=35,
1334                MATOP_BACKWARD_SOLVE=36,
1335                MATOP_ILUFACTOR=37,
1336                MATOP_ICCFACTOR=38,
1337                MATOP_AXPY=39,
1338                MATOP_GET_SUBMATRICES=40,
1339                MATOP_INCREASE_OVERLAP=41,
1340                MATOP_GET_VALUES=42,
1341                MATOP_COPY=43,
1342                MATOP_GET_ROW_MAX=44,
1343                MATOP_SCALE=45,
1344                MATOP_SHIFT=46,
1345                MATOP_DIAGONAL_SET=47,
1346                MATOP_ZERO_ROWS_COLUMNS=48,
1347                MATOP_SET_RANDOM=49,
1348                MATOP_GET_ROW_IJ=50,
1349                MATOP_RESTORE_ROW_IJ=51,
1350                MATOP_GET_COLUMN_IJ=52,
1351                MATOP_RESTORE_COLUMN_IJ=53,
1352                MATOP_FDCOLORING_CREATE=54,
1353                MATOP_COLORING_PATCH=55,
1354                MATOP_SET_UNFACTORED=56,
1355                MATOP_PERMUTE=57,
1356                MATOP_SET_VALUES_BLOCKED=58,
1357                MATOP_GET_SUBMATRIX=59,
1358                MATOP_DESTROY=60,
1359                MATOP_VIEW=61,
1360                MATOP_CONVERT_FROM=62,
1361                MATOP_MATMAT_MULT=63,
1362                MATOP_MATMAT_MULT_SYMBOLIC=64,
1363                MATOP_MATMAT_MULT_NUMERIC=65,
1364                MATOP_SET_LOCAL_TO_GLOBAL_MAP=66,
1365                MATOP_SET_VALUES_LOCAL=67,
1366                MATOP_ZERO_ROWS_LOCAL=68,
1367                MATOP_GET_ROW_MAX_ABS=69,
1368                MATOP_GET_ROW_MIN_ABS=70,
1369                MATOP_CONVERT=71,
1370                MATOP_SET_COLORING=72,
1371                /* MATOP_PLACEHOLDER_73=73, */
1372                MATOP_SET_VALUES_ADIFOR=74,
1373                MATOP_FD_COLORING_APPLY=75,
1374                MATOP_SET_FROM_OPTIONS=76,
1375                MATOP_MULT_CONSTRAINED=77,
1376                MATOP_MULT_TRANSPOSE_CONSTRAIN=78,
1377                MATOP_FIND_ZERO_DIAGONALS=79,
1378                MATOP_MULT_MULTIPLE=80,
1379                MATOP_SOLVE_MULTIPLE=81,
1380                MATOP_GET_INERTIA=82,
1381                MATOP_LOAD=83,
1382                MATOP_IS_SYMMETRIC=84,
1383                MATOP_IS_HERMITIAN=85,
1384                MATOP_IS_STRUCTURALLY_SYMMETRIC=86,
1385                MATOP_SET_VALUES_BLOCKEDLOCAL=87,
1386                MATOP_GET_VECS=88,
1387                MATOP_MAT_MULT=89,
1388                MATOP_MAT_MULT_SYMBOLIC=90,
1389                MATOP_MAT_MULT_NUMERIC=91,
1390                MATOP_PTAP=92,
1391                MATOP_PTAP_SYMBOLIC=93,
1392                MATOP_PTAP_NUMERIC=94,
1393                MATOP_MAT_TRANSPOSE_MULT=95,
1394                MATOP_MAT_TRANSPOSE_MULT_SYMBO=96,
1395                MATOP_MAT_TRANSPOSE_MULT_NUMER=97,
1396                /* MATOP_PLACEHOLDER_98=98, */
1397                /* MATOP_PLACEHOLDER_99=99, */
1398                /* MATOP_PLACEHOLDER_100=100, */
1399                /* MATOP_PLACEHOLDER_101=101, */
1400                MATOP_CONJUGATE=102,
1401                /* MATOP_PLACEHOLDER_103=103, */
1402                MATOP_SET_VALUES_ROW=104,
1403                MATOP_REAL_PART=105,
1404                MATOP_IMAGINARY_PART=106,
1405                MATOP_GET_ROW_UPPER_TRIANGULAR=107,
1406                MATOP_RESTORE_ROW_UPPER_TRIANG=108,
1407                MATOP_MAT_SOLVE=109,
1408                MATOP_GET_REDUNDANT_MATRIX=110,
1409                MATOP_GET_ROW_MIN=111,
1410                MATOP_GET_COLUMN_VECTOR=112,
1411                MATOP_MISSING_DIAGONAL=113,
1412                MATOP_GET_SEQ_NONZERO_STRUCTUR=114,
1413                MATOP_CREATE=115,
1414                MATOP_GET_GHOSTS=116,
1415                MATOP_GET_LOCAL_SUB_MATRIX=117,
1416                MATOP_RESTORE_LOCALSUB_MATRIX=118,
1417                MATOP_MULT_DIAGONAL_BLOCK=119,
1418                MATOP_HERMITIAN_TRANSPOSE=120,
1419                MATOP_MULT_HERMITIAN_TRANSPOSE=121,
1420                MATOP_MULT_HERMITIAN_TRANS_ADD=122,
1421                MATOP_GET_MULTI_PROC_BLOCK=123,
1422                MATOP_FIND_NONZERO_ROWS=124,
1423                MATOP_GET_COLUMN_NORMS=125,
1424                MATOP_INVERT_BLOCK_DIAGONAL=126,
1425                /* MATOP_PLACEHOLDER_127=127, */
1426                MATOP_GET_SUB_MATRICES_PARALLE=128,
1427                MATOP_SET_VALUES_BATCH=129,
1428                MATOP_TRANSPOSE_MAT_MULT=130,
1429                MATOP_TRANSPOSE_MAT_MULT_SYMBO=131,
1430                MATOP_TRANSPOSE_MAT_MULT_NUMER=132,
1431                MATOP_TRANSPOSE_COLORING_CREAT=133,
1432                MATOP_TRANS_COLORING_APPLY_SPT=134,
1433                MATOP_TRANS_COLORING_APPLY_DEN=135,
1434                MATOP_RART=136,
1435                MATOP_RART_SYMBOLIC=137,
1436                MATOP_RART_NUMERIC=138,
1437                MATOP_SET_BLOCK_SIZES=139,
1438                MATOP_AYPX=140,
1439                MATOP_RESIDUAL=141,
1440                MATOP_FDCOLORING_SETUP=142,
1441                MATOP_MPICONCATENATESEQ=144
1442              } MatOperation;
1443 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat,MatOperation,PetscBool *);
1444 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat,MatOperation,void(*)(void));
1445 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat,MatOperation,void(**)(void));
1446 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat,void*);
1447 
1448 /*
1449    Codes for matrices stored on disk. By default they are
1450    stored in a universal format. By changing the format with
1451    PetscViewerPushFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
1452    be stored in a way natural for the matrix, for example dense matrices
1453    would be stored as dense. Matrices stored this way may only be
1454    read into matrices of the same type.
1455 */
1456 #define MATRIX_BINARY_FORMAT_DENSE -1
1457 
1458 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1459 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat,Mat*);
1460 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat,Mat);
1461 PETSC_EXTERN PetscErrorCode MatISGetMPIXAIJ(Mat,MatReuse,Mat*);
1462 
1463 /*S
1464      MatNullSpace - Object that removes a null space from a vector, i.e.
1465          orthogonalizes the vector to a subsapce
1466 
1467    Level: advanced
1468 
1469   Concepts: matrix; linear operator, null space
1470 
1471   Users manual sections:
1472 .   sec_singular
1473 
1474 .seealso:  MatNullSpaceCreate()
1475 S*/
1476 typedef struct _p_MatNullSpace* MatNullSpace;
1477 
1478 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm,PetscBool ,PetscInt,const Vec[],MatNullSpace*);
1479 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace,PetscErrorCode (*)(MatNullSpace,Vec,void*),void*);
1480 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace*);
1481 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace,Vec);
1482 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
1483 PETSC_EXTERN PetscErrorCode MatGetTransposeNullSpace(Mat, MatNullSpace *);
1484 PETSC_EXTERN PetscErrorCode MatSetTransposeNullSpace(Mat,MatNullSpace);
1485 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat,MatNullSpace);
1486 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat,MatNullSpace);
1487 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat,MatNullSpace*);
1488 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace,Mat,PetscBool  *);
1489 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace,PetscViewer);
1490 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace,PetscBool*,PetscInt*,const Vec**);
1491 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec,MatNullSpace*);
1492 
1493 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat,IS);
1494 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1495 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat,PetscInt *);
1496 PETSC_EXTERN PetscErrorCode MatSeqBAIJInvertBlockDiagonal(Mat);
1497 
1498 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat,PetscInt,Mat*);
1499 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat,PetscInt,Mat*);
1500 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat,Mat*);
1501 
1502 PETSC_EXTERN PetscErrorCode MatComputeExplicitOperator(Mat,Mat*);
1503 
1504 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat,Vec);
1505 
1506 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
1507 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat,Vec,Vec);
1508 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat,PetscErrorCode(*)(void*,Vec,Vec),void*);
1509 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat,PetscErrorCode (*)(void*,PetscInt,Vec,PetscScalar*));
1510 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat,PetscErrorCode (*)(void*,Vec));
1511 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat,PetscScalar[],PetscInt);
1512 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
1513 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat,PetscReal);
1514 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat,PetscInt);
1515 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat,PetscScalar *);
1516 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat,const char[]);
1517 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void*,Vec,Vec,PetscScalar*);
1518 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat,PetscErrorCode (*)(void*,Vec,Vec,PetscScalar*),void*);
1519 
1520 /*S
1521     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
1522               Jacobian vector products
1523 
1524     Notes: MATMFFD is a specific MatType which uses the MatMFFD data structure
1525 
1526            MatMFFD*() methods actually take the Mat as their first argument. Not a MatMFFD data structure
1527 
1528     Level: developer
1529 
1530 .seealso: MATMFFD, MatCreateMFFD(), MatMFFDSetFuction(), MatMFFDSetType(), MatMFFDRegister()
1531 S*/
1532 typedef struct _p_MatMFFD* MatMFFD;
1533 
1534 /*J
1535     MatMFFDType - algorithm used to compute the h used in computing matrix-vector products via differencing of the function
1536 
1537    Level: beginner
1538 
1539 .seealso: MatMFFDSetType(), MatMFFDRegister()
1540 J*/
1541 typedef const char* MatMFFDType;
1542 #define MATMFFD_DS  "ds"
1543 #define MATMFFD_WP  "wp"
1544 
1545 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat,MatMFFDType);
1546 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[],PetscErrorCode (*)(MatMFFD));
1547 
1548 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat,PetscReal);
1549 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat,PetscBool );
1550 
1551 PETSC_EXTERN PetscErrorCode MatFDColoringSetType(MatFDColoring,MatMFFDType);
1552 
1553 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
1554 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
1555 
1556 /*
1557    PETSc interface to MUMPS
1558 */
1559 #ifdef PETSC_HAVE_MUMPS
1560 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat,PetscInt,PetscInt);
1561 PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat,PetscInt,PetscInt*);
1562 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat,PetscInt,PetscReal);
1563 PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat,PetscInt,PetscReal*);
1564 
1565 PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat,PetscInt,PetscInt*);
1566 PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat,PetscInt,PetscInt*);
1567 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat,PetscInt,PetscReal*);
1568 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat,PetscInt,PetscReal*);
1569 #endif
1570 
1571 /*
1572    PETSc interface to Mkl_Pardiso
1573 */
1574 #ifdef PETSC_HAVE_MKL_PARDISO
1575 PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat,PetscInt,PetscInt);
1576 #endif
1577 
1578 /*
1579    PETSc interface to Mkl_CPardiso
1580 */
1581 #ifdef PETSC_HAVE_MKL_CPARDISO
1582 PETSC_EXTERN PetscErrorCode MatMkl_CPardisoSetCntl(Mat,PetscInt,PetscInt);
1583 #endif
1584 
1585 /*
1586    PETSc interface to SUPERLU
1587 */
1588 #ifdef PETSC_HAVE_SUPERLU
1589 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat,PetscReal);
1590 #endif
1591 
1592 /*
1593    PETSc interface to SUPERLU_DIST
1594 */
1595 #ifdef PETSC_HAVE_SUPERLU_DIST
1596 PETSC_EXTERN PetscErrorCode MatSuperluDistGetDiagU(Mat,PetscScalar*);
1597 #endif
1598 
1599 /*
1600    PETSc interface to STRUMPACK
1601 */
1602 #ifdef PETSC_HAVE_STRUMPACK
1603 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSRelCompTol(Mat,PetscReal);
1604 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMinSize(Mat,PetscInt);
1605 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetColPerm(Mat,PetscBool);
1606 #endif
1607 
1608 
1609 #ifdef PETSC_HAVE_CUDA
1610 /*E
1611     MatCUSPARSEStorageFormat - indicates the storage format for CUSPARSE (GPU)
1612     matrices.
1613 
1614     Not Collective
1615 
1616 +   MAT_CUSPARSE_CSR - Compressed Sparse Row
1617 .   MAT_CUSPARSE_ELL - Ellpack (requires CUDA 4.2 or later).
1618 -   MAT_CUSPARSE_HYB - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
1619 
1620     Level: intermediate
1621 
1622    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1623 
1624 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEFormatOperation
1625 E*/
1626 
1627 typedef enum {MAT_CUSPARSE_CSR, MAT_CUSPARSE_ELL, MAT_CUSPARSE_HYB} MatCUSPARSEStorageFormat;
1628 
1629 /* these will be strings associated with enumerated type defined above */
1630 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
1631 
1632 /*E
1633     MatCUSPARSEFormatOperation - indicates the operation of CUSPARSE (GPU)
1634     matrices whose operation should use a particular storage format.
1635 
1636     Not Collective
1637 
1638 +   MAT_CUSPARSE_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1639 .   MAT_CUSPARSE_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1640 .   MAT_CUSPARSE_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1641 -   MAT_CUSPARSE_ALL - sets the storage format for all CUSPARSE (GPU) matrices
1642 
1643     Level: intermediate
1644 
1645 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEStorageFormat
1646 E*/
1647 typedef enum {MAT_CUSPARSE_MULT_DIAG, MAT_CUSPARSE_MULT_OFFDIAG, MAT_CUSPARSE_MULT, MAT_CUSPARSE_ALL} MatCUSPARSEFormatOperation;
1648 
1649 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1650 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1651 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat,MatCUSPARSEFormatOperation,MatCUSPARSEStorageFormat);
1652 #endif
1653 
1654 #if defined(PETSC_HAVE_CUSP)
1655 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1656 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1657 
1658 /*E
1659     MatCUSPStorageFormat - indicates the storage format for CUSP (GPU)
1660     matrices.
1661 
1662     Not Collective
1663 
1664 +   MAT_CUSP_CSR - Compressed Sparse Row
1665 .   MAT_CUSP_DIA - Diagonal
1666 -   MAT_CUSP_ELL - Ellpack
1667 
1668     Level: intermediate
1669 
1670    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1671 
1672 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1673 E*/
1674 typedef enum {MAT_CUSP_CSR, MAT_CUSP_DIA, MAT_CUSP_ELL} MatCUSPStorageFormat;
1675 
1676 /* these will be strings associated with enumerated type defined above */
1677 PETSC_EXTERN const char *const MatCUSPStorageFormats[];
1678 
1679 /*E
1680     MatCUSPFormatOperation - indicates the operation of CUSP (GPU)
1681     matrices whose operation should use a particular storage format.
1682 
1683     Not Collective
1684 
1685 +   MAT_CUSP_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1686 .   MAT_CUSP_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1687 .   MAT_CUSP_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1688 -   MAT_CUSP_ALL - sets the storage format for all CUSP (GPU) matrices
1689 
1690     Level: intermediate
1691 
1692    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1693 
1694 .seealso: MatCUSPSetFormat(), MatCUSPStorageFormat
1695 E*/
1696 typedef enum {MAT_CUSP_MULT_DIAG, MAT_CUSP_MULT_OFFDIAG, MAT_CUSP_MULT, MAT_CUSP_ALL} MatCUSPFormatOperation;
1697 
1698 PETSC_EXTERN PetscErrorCode MatCUSPSetFormat(Mat,MatCUSPFormatOperation,MatCUSPStorageFormat);
1699 #endif
1700 
1701 #if defined(PETSC_HAVE_VIENNACL)
1702 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1703 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1704 #endif
1705 
1706 /*
1707    PETSc interface to FFTW
1708 */
1709 #if defined(PETSC_HAVE_FFTW)
1710 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat,Vec,Vec);
1711 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat,Vec,Vec);
1712 PETSC_EXTERN PetscErrorCode MatCreateVecsFFTW(Mat,Vec*,Vec*,Vec*);
1713 #endif
1714 
1715 /*
1716    PETSc interface to ELEMENTAL
1717 */
1718 #if defined(PETSC_HAVE_ELEMENTAL)
1719 #if defined(PETSC_USE_COMPLEX)
1720 typedef El::Complex<PetscReal> PetscElemScalar;
1721 #else
1722 typedef PetscScalar PetscElemScalar;
1723 #endif
1724 PETSC_EXTERN PetscErrorCode PetscElementalInitializePackage(void);
1725 PETSC_EXTERN PetscErrorCode PetscElementalFinalizePackage(void);
1726 #endif
1727 
1728 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm,PetscInt,const IS[],PetscInt,const IS[],const Mat[],Mat*);
1729 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat,PetscInt*,PetscInt*);
1730 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat,IS[],IS[]);
1731 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat,IS[],IS[]);
1732 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat,PetscInt*,PetscInt*,Mat***);
1733 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat,PetscInt,PetscInt,Mat*);
1734 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat,VecType);
1735 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat,PetscInt,const IS[],PetscInt,const IS[],const Mat[]);
1736 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat,PetscInt,PetscInt,Mat);
1737 
1738 PETSC_EXTERN PetscErrorCode MatChop(Mat,PetscReal);
1739 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat,PetscReal,PetscInt*);
1740 
1741 PETSC_EXTERN PetscErrorCode MatSubdomainsCreateCoalesce(Mat,PetscInt,PetscInt*,IS**);
1742 
1743 PETSC_EXTERN PetscErrorCode MatPreallocatorPreallocate(Mat,PetscBool,Mat);
1744 
1745 PETSC_INTERN PetscErrorCode MatHeaderMerge(Mat,Mat*);
1746 PETSC_EXTERN PetscErrorCode MatHeaderReplace(Mat,Mat*);
1747 
1748 #endif
1749