xref: /petsc/include/petscmat.h (revision d18b9058a302a5932c30eaa4e142cc3ba0992349)
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.
266 
267    Fortran usage is different, see MatSetValuesStencil() for details.
268 
269    Level: beginner
270 
271   Concepts: matrix; linear operator
272 
273 .seealso:  MatSetValuesStencil(), MatSetStencil(), MatSetValuesBlockedStencil()
274 S*/
275 typedef struct {
276   PetscInt k,j,i,c;
277 } MatStencil;
278 
279 PETSC_EXTERN PetscErrorCode MatSetValuesStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
280 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
281 PETSC_EXTERN PetscErrorCode MatSetStencil(Mat,PetscInt,const PetscInt[],const PetscInt[],PetscInt);
282 
283 /*E
284     MatAssemblyType - Indicates if the matrix is now to be used, or if you plan
285      to continue to add values to it
286 
287     Level: beginner
288 
289 .seealso: MatAssemblyBegin(), MatAssemblyEnd()
290 E*/
291 typedef enum {MAT_FLUSH_ASSEMBLY=1,MAT_FINAL_ASSEMBLY=0} MatAssemblyType;
292 PETSC_EXTERN PetscErrorCode MatAssemblyBegin(Mat,MatAssemblyType);
293 PETSC_EXTERN PetscErrorCode MatAssemblyEnd(Mat,MatAssemblyType);
294 PETSC_EXTERN PetscErrorCode MatAssembled(Mat,PetscBool *);
295 
296 
297 
298 /*E
299     MatOption - Options that may be set for a matrix and its behavior or storage
300 
301     Level: beginner
302 
303    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
304 
305    Developer Notes: Entries that are negative need not be called collectively by all processes.
306 
307 .seealso: MatSetOption()
308 E*/
309 typedef enum {MAT_OPTION_MIN = -3,
310               MAT_UNUSED_NONZERO_LOCATION_ERR = -2,
311               MAT_ROW_ORIENTED = -1,
312               MAT_SYMMETRIC = 1,
313               MAT_STRUCTURALLY_SYMMETRIC = 2,
314               MAT_NEW_DIAGONALS = 3,
315               MAT_IGNORE_OFF_PROC_ENTRIES = 4,
316               MAT_USE_HASH_TABLE = 5,
317               MAT_KEEP_NONZERO_PATTERN = 6,
318               MAT_IGNORE_ZERO_ENTRIES = 7,
319               MAT_USE_INODES = 8,
320               MAT_HERMITIAN = 9,
321               MAT_SYMMETRY_ETERNAL = 10,
322               MAT_NEW_NONZERO_LOCATION_ERR = 11,
323               MAT_IGNORE_LOWER_TRIANGULAR = 12,
324               MAT_ERROR_LOWER_TRIANGULAR = 13,
325               MAT_GETROW_UPPERTRIANGULAR = 14,
326               MAT_SPD = 15,
327               MAT_NO_OFF_PROC_ZERO_ROWS = 16,
328               MAT_NO_OFF_PROC_ENTRIES = 17,
329               MAT_NEW_NONZERO_LOCATIONS = 18,
330               MAT_NEW_NONZERO_ALLOCATION_ERR = 19,
331               MAT_SUBSET_OFF_PROC_ENTRIES = 20,
332               MAT_OPTION_MAX = 21} MatOption;
333 
334 PETSC_EXTERN const char *MatOptions[];
335 PETSC_EXTERN PetscErrorCode MatSetOption(Mat,MatOption,PetscBool);
336 PETSC_EXTERN PetscErrorCode MatGetOption(Mat,MatOption,PetscBool*);
337 PETSC_EXTERN PetscErrorCode MatGetType(Mat,MatType*);
338 
339 PETSC_EXTERN PetscErrorCode MatGetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar[]);
340 PETSC_EXTERN PetscErrorCode MatGetRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
341 PETSC_EXTERN PetscErrorCode MatRestoreRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
342 PETSC_EXTERN PetscErrorCode MatGetRowUpperTriangular(Mat);
343 PETSC_EXTERN PetscErrorCode MatRestoreRowUpperTriangular(Mat);
344 PETSC_EXTERN PetscErrorCode MatGetColumn(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
345 PETSC_EXTERN PetscErrorCode MatRestoreColumn(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
346 PETSC_EXTERN PetscErrorCode MatGetColumnVector(Mat,Vec,PetscInt);
347 PETSC_EXTERN PetscErrorCode MatSeqAIJGetArray(Mat,PetscScalar *[]);
348 PETSC_EXTERN PetscErrorCode MatSeqAIJRestoreArray(Mat,PetscScalar *[]);
349 PETSC_EXTERN PetscErrorCode MatSeqAIJGetMaxRowNonzeros(Mat,PetscInt*);
350 PETSC_EXTERN PetscErrorCode MatSeqAIJSetValuesLocalFast(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
351 PETSC_EXTERN PetscErrorCode MatDenseGetArray(Mat,PetscScalar *[]);
352 PETSC_EXTERN PetscErrorCode MatDenseRestoreArray(Mat,PetscScalar *[]);
353 PETSC_EXTERN PetscErrorCode MatGetBlockSize(Mat,PetscInt *);
354 PETSC_EXTERN PetscErrorCode MatSetBlockSize(Mat,PetscInt);
355 PETSC_EXTERN PetscErrorCode MatGetBlockSizes(Mat,PetscInt *,PetscInt *);
356 PETSC_EXTERN PetscErrorCode MatSetBlockSizes(Mat,PetscInt,PetscInt);
357 PETSC_EXTERN PetscErrorCode MatSetBlockSizesFromMats(Mat,Mat,Mat);
358 
359 PETSC_EXTERN PetscErrorCode MatMult(Mat,Vec,Vec);
360 PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat,Vec,Vec);
361 PETSC_EXTERN PetscErrorCode MatMultAdd(Mat,Vec,Vec,Vec);
362 PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat,Vec,Vec);
363 PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat,Vec,Vec);
364 PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat,Mat,PetscReal,PetscBool *);
365 PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat,Mat,PetscReal,PetscBool *);
366 PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat,Vec,Vec,Vec);
367 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat,Vec,Vec,Vec);
368 PETSC_EXTERN PetscErrorCode MatMultConstrained(Mat,Vec,Vec);
369 PETSC_EXTERN PetscErrorCode MatMultTransposeConstrained(Mat,Vec,Vec);
370 PETSC_EXTERN PetscErrorCode MatMatSolve(Mat,Mat,Mat);
371 PETSC_EXTERN PetscErrorCode MatResidual(Mat,Vec,Vec,Vec);
372 
373 /*E
374     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
375   its numerical values copied over or just its nonzero structure.
376 
377     Level: beginner
378 
379    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
380 
381 $   MAT_SHARE_NONZERO_PATTERN - the i and j arrays in the new matrix will be shared with the original matrix
382 $                               this also triggers the MAT_DO_NOT_COPY_VALUES option. This is used when you
383 $                               have several matrices with the same nonzero pattern.
384 
385 .seealso: MatDuplicate()
386 E*/
387 typedef enum {MAT_DO_NOT_COPY_VALUES,MAT_COPY_VALUES,MAT_SHARE_NONZERO_PATTERN} MatDuplicateOption;
388 
389 PETSC_EXTERN PetscErrorCode MatConvert(Mat,MatType,MatReuse,Mat*);
390 PETSC_EXTERN PetscErrorCode MatDuplicate(Mat,MatDuplicateOption,Mat*);
391 
392 
393 PETSC_EXTERN PetscErrorCode MatCopy(Mat,Mat,MatStructure);
394 PETSC_EXTERN PetscErrorCode MatView(Mat,PetscViewer);
395 PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat,PetscReal,PetscBool *);
396 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat,PetscBool *);
397 PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat,PetscReal,PetscBool *);
398 PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat,PetscBool *,PetscBool *);
399 PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat,PetscBool *,PetscBool *);
400 PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat,PetscBool  *,PetscInt *);
401 PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);
402 
403 PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
404 PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
405 PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
406 PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
407 
408 /*S
409      MatInfo - Context of matrix information, used with MatGetInfo()
410 
411    In Fortran this is simply a double precision array of dimension MAT_INFO_SIZE
412 
413    Level: intermediate
414 
415   Concepts: matrix^nonzero information
416 
417 .seealso:  MatGetInfo(), MatInfoType
418 S*/
419 typedef struct {
420   PetscLogDouble block_size;                         /* block size */
421   PetscLogDouble nz_allocated,nz_used,nz_unneeded;   /* number of nonzeros */
422   PetscLogDouble memory;                             /* memory allocated */
423   PetscLogDouble assemblies;                         /* number of matrix assemblies called */
424   PetscLogDouble mallocs;                            /* number of mallocs during MatSetValues() */
425   PetscLogDouble fill_ratio_given,fill_ratio_needed; /* fill ratio for LU/ILU */
426   PetscLogDouble factor_mallocs;                     /* number of mallocs during factorization */
427 } MatInfo;
428 
429 /*E
430     MatInfoType - Indicates if you want information about the local part of the matrix,
431      the entire parallel matrix or the maximum over all the local parts.
432 
433     Level: beginner
434 
435    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
436 
437 .seealso: MatGetInfo(), MatInfo
438 E*/
439 typedef enum {MAT_LOCAL=1,MAT_GLOBAL_MAX=2,MAT_GLOBAL_SUM=3} MatInfoType;
440 PETSC_EXTERN PetscErrorCode MatGetInfo(Mat,MatInfoType,MatInfo*);
441 PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat,Vec);
442 PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat,Vec,PetscInt[]);
443 PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat,Vec,PetscInt[]);
444 PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat,Vec,PetscInt[]);
445 PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat,Vec,PetscInt[]);
446 PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat,Vec);
447 PETSC_EXTERN PetscErrorCode MatTranspose(Mat,MatReuse,Mat*);
448 PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat,MatReuse,Mat*);
449 PETSC_EXTERN PetscErrorCode MatPermute(Mat,IS,IS,Mat*);
450 PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat,Vec,Vec);
451 PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat,Vec,InsertMode);
452 
453 PETSC_EXTERN PetscErrorCode MatEqual(Mat,Mat,PetscBool*);
454 PETSC_EXTERN PetscErrorCode MatMultEqual(Mat,Mat,PetscInt,PetscBool*);
455 PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat,Mat,PetscInt,PetscBool*);
456 PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat,Mat,PetscInt,PetscBool*);
457 PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat,Mat,PetscInt,PetscBool*);
458 PETSC_EXTERN PetscErrorCode MatMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
459 PETSC_EXTERN PetscErrorCode MatTransposeMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
460 
461 PETSC_EXTERN PetscErrorCode MatNorm(Mat,NormType,PetscReal*);
462 PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat,NormType,PetscReal*);
463 PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
464 PETSC_EXTERN PetscErrorCode MatZeroRows(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
465 PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat,IS,PetscScalar,Vec,Vec);
466 PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat,PetscInt,const MatStencil [],PetscScalar,Vec,Vec);
467 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat,PetscInt,const MatStencil[],PetscScalar,Vec,Vec);
468 PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
469 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat,IS,PetscScalar,Vec,Vec);
470 
471 PETSC_EXTERN PetscErrorCode MatGetSize(Mat,PetscInt*,PetscInt*);
472 PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat,PetscInt*,PetscInt*);
473 PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat,PetscInt*,PetscInt*);
474 PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat,const PetscInt**);
475 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat,PetscInt*,PetscInt*);
476 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat,const PetscInt**);
477 PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat,IS*,IS*);
478 
479 PETSC_EXTERN PetscErrorCode MatGetSubMatrices(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
480 PETSC_EXTERN PetscErrorCode MatGetSubMatricesMPI(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
481 PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt,Mat *[]);
482 PETSC_EXTERN PetscErrorCode MatGetSubMatrix(Mat,IS,IS,MatReuse,Mat *);
483 PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat,IS,IS,Mat*);
484 PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat,IS,IS,Mat*);
485 PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat,Mat*);
486 PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat*);
487 
488 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm,Mat,PetscInt,PetscInt,MatReuse,Mat*);
489 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm,Mat,PetscInt,PetscInt,Mat*);
490 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat,Mat);
491 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat,MatReuse,Mat*);
492 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat,MatReuse,IS*,IS*,Mat*);
493 PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat,Mat,MatReuse,IS*,IS*,Mat*);
494 PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *,const PetscInt *[]);
495 
496 PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat,PetscInt,IS[],PetscInt);
497 PETSC_EXTERN PetscErrorCode MatIncreaseOverlapSplit(Mat mat,PetscInt n,IS is[],PetscInt ov);
498 PETSC_EXTERN PetscErrorCode MatMPIAIJSetUseScalableIncreaseOverlap(Mat,PetscBool);
499 
500 PETSC_EXTERN PetscErrorCode MatMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
501 PETSC_EXTERN PetscErrorCode MatMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
502 PETSC_EXTERN PetscErrorCode MatMatMultNumeric(Mat,Mat,Mat);
503 
504 PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
505 
506 PETSC_EXTERN PetscErrorCode MatPtAP(Mat,Mat,MatReuse,PetscReal,Mat*);
507 PETSC_EXTERN PetscErrorCode MatPtAPSymbolic(Mat,Mat,PetscReal,Mat*);
508 PETSC_EXTERN PetscErrorCode MatPtAPNumeric(Mat,Mat,Mat);
509 PETSC_EXTERN PetscErrorCode MatRARt(Mat,Mat,MatReuse,PetscReal,Mat*);
510 PETSC_EXTERN PetscErrorCode MatRARtSymbolic(Mat,Mat,PetscReal,Mat*);
511 PETSC_EXTERN PetscErrorCode MatRARtNumeric(Mat,Mat,Mat);
512 
513 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
514 PETSC_EXTERN PetscErrorCode MatTransposetMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
515 PETSC_EXTERN PetscErrorCode MatTransposetMatMultNumeric(Mat,Mat,Mat);
516 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat,Mat,MatReuse,PetscReal,Mat*);
517 PETSC_EXTERN PetscErrorCode MatMatTransposeMultSymbolic(Mat,Mat,PetscReal,Mat*);
518 PETSC_EXTERN PetscErrorCode MatMatTransposeMultNumeric(Mat,Mat,Mat);
519 
520 PETSC_EXTERN PetscErrorCode MatAXPY(Mat,PetscScalar,Mat,MatStructure);
521 PETSC_EXTERN PetscErrorCode MatAYPX(Mat,PetscScalar,Mat,MatStructure);
522 
523 PETSC_EXTERN PetscErrorCode MatScale(Mat,PetscScalar);
524 PETSC_EXTERN PetscErrorCode MatShift(Mat,PetscScalar);
525 
526 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
527 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
528 PETSC_EXTERN PetscErrorCode MatGetLayouts(Mat,PetscLayout*,PetscLayout*);
529 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
530 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
531 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
532 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
533 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
534 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
535 
536 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat,PetscInt,PetscInt);
537 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat,PetscInt*,PetscInt*,PetscInt*,PetscInt*);
538 
539 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat,Vec,Vec);
540 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat,Vec,Vec,Vec);
541 PETSC_EXTERN PetscErrorCode MatRestrict(Mat,Vec,Vec);
542 PETSC_EXTERN PetscErrorCode MatCreateVecs(Mat,Vec*,Vec*);
543 PETSC_DEPRECATED("Use MatCreateVecs()") PETSC_STATIC_INLINE PetscErrorCode MatGetVecs(Mat mat,Vec *x,Vec *y) {return MatCreateVecs(mat,x,y);}
544 PETSC_EXTERN PetscErrorCode MatCreateRedundantMatrix(Mat,PetscInt,MPI_Comm,MatReuse,Mat*);
545 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat,MPI_Comm,MatReuse,Mat*);
546 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat,IS*);
547 PETSC_EXTERN PetscErrorCode MatFindOffBlockDiagonalEntries(Mat,IS*);
548 PETSC_EXTERN PetscErrorCode MatCreateMPIMatConcatenateSeqMat(MPI_Comm,Mat,PetscInt,MatReuse,Mat*);
549 
550 /*MC
551    MatSetValue - Set a single entry into a matrix.
552 
553    Not collective
554 
555    Synopsis:
556      #include <petscmat.h>
557      PetscErrorCode MatSetValue(Mat m,PetscInt row,PetscInt col,PetscScalar value,InsertMode mode)
558 
559    Input Parameters:
560 +  m - the matrix
561 .  row - the row location of the entry
562 .  col - the column location of the entry
563 .  value - the value to insert
564 -  mode - either INSERT_VALUES or ADD_VALUES
565 
566    Notes:
567    For efficiency one should use MatSetValues() and set several or many
568    values simultaneously if possible.
569 
570    Level: beginner
571 
572 .seealso: MatSetValues(), MatSetValueLocal()
573 M*/
574 PETSC_STATIC_INLINE PetscErrorCode MatSetValue(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValues(v,1,&i,1,&j,&va,mode);}
575 
576 PETSC_STATIC_INLINE PetscErrorCode MatGetValue(Mat v,PetscInt i,PetscInt j,PetscScalar *va) {return MatGetValues(v,1,&i,1,&j,va);}
577 
578 PETSC_STATIC_INLINE PetscErrorCode MatSetValueLocal(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValuesLocal(v,1,&i,1,&j,&va,mode);}
579 
580 /*MC
581    MatPreallocateInitialize - Begins the block of code that will count the number of nonzeros per
582        row in a matrix providing the data that one can use to correctly preallocate the matrix.
583 
584    Synopsis:
585    #include <petscmat.h>
586    PetscErrorCode MatPreallocateInitialize(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
587 
588    Collective on MPI_Comm
589 
590    Input Parameters:
591 +  comm - the communicator that will share the eventually allocated matrix
592 .  nrows - the number of LOCAL rows in the matrix
593 -  ncols - the number of LOCAL columns in the matrix
594 
595    Output Parameters:
596 +  dnz - the array that will be passed to the matrix preallocation routines
597 -  ozn - the other array passed to the matrix preallocation routines
598 
599    Level: intermediate
600 
601    Notes:
602     See Users-Manual: ch_performance for more details.
603 
604    Do not malloc or free dnz and onz, that is handled internally by these routines
605 
606    Use MatPreallocateInitializeSymmetric() for symmetric matrices (MPISBAIJ matrices)
607 
608    This is a MACRO not a function because it has a leading { that is closed by PetscPreallocateFinalize().
609 
610   Concepts: preallocation^Matrix
611 
612 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
613           MatPreallocateInitializeSymmetric(), MatPreallocateSymmetricSetLocalBlock()
614 M*/
615 #define MatPreallocateInitialize(comm,nrows,ncols,dnz,onz) 0; \
616 { \
617   PetscErrorCode _4_ierr; PetscInt __nrows = (nrows),__ctmp = (ncols),__rstart,__start,__end; \
618   _4_ierr = PetscCalloc2(__nrows,&dnz,__nrows,&onz);CHKERRQ(_4_ierr); \
619   __start = 0; __end = __start;                                         \
620   _4_ierr = MPI_Scan(&__ctmp,&__end,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __start = __end - __ctmp;\
621   _4_ierr = MPI_Scan(&__nrows,&__rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __nrows;
622 
623 /*MC
624    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
625        inserted using a local number of the rows and columns
626 
627    Synopsis:
628    #include <petscmat.h>
629    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
630 
631    Not Collective
632 
633    Input Parameters:
634 +  map - the row mapping from local numbering to global numbering
635 .  nrows - the number of rows indicated
636 .  rows - the indices of the rows
637 .  cmap - the column mapping from local to global numbering
638 .  ncols - the number of columns in the matrix
639 .  cols - the columns indicated
640 .  dnz - the array that will be passed to the matrix preallocation routines
641 -  ozn - the other array passed to the matrix preallocation routines
642 
643    Level: intermediate
644 
645    Notes:
646     See Users-Manual: ch_performance for more details.
647 
648    Do not malloc or free dnz and onz, that is handled internally by these routines
649 
650   Concepts: preallocation^Matrix
651 
652 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
653           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock()
654 M*/
655 #define MatPreallocateSetLocal(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
656 {\
657   PetscInt __l;\
658   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
659   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
660   for (__l=0;__l<nrows;__l++) {\
661     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
662   }\
663 }
664 
665 /*MC
666    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
667        inserted using a local number of the rows and columns
668 
669    Synopsis:
670    #include <petscmat.h>
671    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
672 
673    Not Collective
674 
675    Input Parameters:
676 +  map - the row mapping from local numbering to global numbering
677 .  nrows - the number of rows indicated
678 .  rows - the indices of the rows
679 .  cmap - the column mapping from local to global numbering
680 .  ncols - the number of columns in the matrix
681 .  cols - the columns indicated
682 .  dnz - the array that will be passed to the matrix preallocation routines
683 -  ozn - the other array passed to the matrix preallocation routines
684 
685    Level: intermediate
686 
687    Notes:
688     See Users-Manual: ch_performance for more details.
689 
690    Do not malloc or free dnz and onz, that is handled internally by these routines
691 
692   Concepts: preallocation^Matrix
693 
694 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
695           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock()
696 M*/
697 #define MatPreallocateSetLocalBlock(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
698 {\
699   PetscInt __l;\
700   _4_ierr = ISLocalToGlobalMappingApplyBlock(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
701   _4_ierr = ISLocalToGlobalMappingApplyBlock(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
702   for (__l=0;__l<nrows;__l++) {\
703     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
704   }\
705 }
706 
707 /*MC
708    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
709        inserted using a local number of the rows and columns
710 
711    Synopsis:
712    #include <petscmat.h>
713    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
714 
715    Not Collective
716 
717    Input Parameters:
718 +  map - the mapping between local numbering and global numbering
719 .  nrows - the number of rows indicated
720 .  rows - the indices of the rows
721 .  ncols - the number of columns in the matrix
722 .  cols - the columns indicated
723 .  dnz - the array that will be passed to the matrix preallocation routines
724 -  ozn - the other array passed to the matrix preallocation routines
725 
726    Level: intermediate
727 
728    Notes:
729     See Users-Manual: ch_performance for more details.
730 
731    Do not malloc or free dnz and onz that is handled internally by these routines
732 
733   Concepts: preallocation^Matrix
734 
735 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateInitialize(),
736           MatPreallocateInitialize(),  MatPreallocateSetLocal()
737 M*/
738 #define MatPreallocateSymmetricSetLocalBlock(map,nrows,rows,ncols,cols,dnz,onz) 0;\
739 {\
740   PetscInt __l;\
741   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
742   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
743   for (__l=0;__l<nrows;__l++) {\
744     _4_ierr = MatPreallocateSymmetricSetBlock((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
745   }\
746 }
747 /*MC
748    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
749        inserted using a local number of the rows and columns
750 
751    Synopsis:
752    #include <petscmat.h>
753    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
754 
755    Not Collective
756 
757    Input Parameters:
758 +  row - the row
759 .  ncols - the number of columns in the matrix
760 -  cols - the columns indicated
761 
762    Output Parameters:
763 +  dnz - the array that will be passed to the matrix preallocation routines
764 -  ozn - the other array passed to the matrix preallocation routines
765 
766    Level: intermediate
767 
768    Notes:
769     See Users-Manual: ch_performance for more details.
770 
771    Do not malloc or free dnz and onz that is handled internally by these routines
772 
773    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
774 
775   Concepts: preallocation^Matrix
776 
777 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
778           MatPreallocateInitialize(), MatPreallocateSetLocal()
779 M*/
780 #define MatPreallocateSet(row,nc,cols,dnz,onz) 0;\
781 { PetscInt __i; \
782   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);\
783   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);\
784   for (__i=0; __i<nc; __i++) {\
785     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
786     else dnz[row - __rstart]++;\
787   }\
788 }
789 
790 /*MC
791    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
792        inserted using a local number of the rows and columns
793 
794    Synopsis:
795    #include <petscmat.h>
796    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
797 
798    Not Collective
799 
800    Input Parameters:
801 +  nrows - the number of rows indicated
802 .  rows - the indices of the rows
803 .  ncols - the number of columns in the matrix
804 .  cols - the columns indicated
805 .  dnz - the array that will be passed to the matrix preallocation routines
806 -  ozn - the other array passed to the matrix preallocation routines
807 
808    Level: intermediate
809 
810    Notes:
811     See Users-Manual: ch_performance for more details.
812 
813    Do not malloc or free dnz and onz that is handled internally by these routines
814 
815    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
816 
817   Concepts: preallocation^Matrix
818 
819 .seealso: MatPreallocateFinalize(), MatPreallocateSet(),  MatPreallocateInitialize(),
820           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
821 M*/
822 #define MatPreallocateSymmetricSetBlock(row,nc,cols,dnz,onz) 0;\
823 { PetscInt __i; \
824   for (__i=0; __i<nc; __i++) {\
825     if (cols[__i] >= __end) onz[row - __rstart]++; \
826     else if (cols[__i] >= row) dnz[row - __rstart]++;\
827   }\
828 }
829 
830 /*MC
831    MatPreallocateLocation -  An alternative to MatPreallocationSet() that puts the nonzero locations into the matrix if it exists
832 
833    Synopsis:
834    #include <petscmat.h>
835    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
836 
837    Not Collective
838 
839    Input Parameters:
840 .  A - matrix
841 .  row - row where values exist (must be local to this process)
842 .  ncols - number of columns
843 .  cols - columns with nonzeros
844 .  dnz - the array that will be passed to the matrix preallocation routines
845 -  ozn - the other array passed to the matrix preallocation routines
846 
847    Level: intermediate
848 
849    Notes:
850     See Users-Manual: ch_performance for more details.
851 
852    Do not malloc or free dnz and onz that is handled internally by these routines
853 
854    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
855 
856   Concepts: preallocation^Matrix
857 
858 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
859           MatPreallocateSymmetricSetLocalBlock()
860 M*/
861 #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);}
862 
863 
864 /*MC
865    MatPreallocateFinalize - Ends the block of code that will count the number of nonzeros per
866        row in a matrix providing the data that one can use to correctly preallocate the matrix.
867 
868    Synopsis:
869    #include <petscmat.h>
870    PetscErrorCode MatPreallocateFinalize(PetscInt *dnz, PetscInt *onz)
871 
872    Collective on MPI_Comm
873 
874    Input Parameters:
875 +  dnz - the array that was be passed to the matrix preallocation routines
876 -  ozn - the other array passed to the matrix preallocation routines
877 
878    Level: intermediate
879 
880    Notes:
881     See Users-Manual: ch_performance for more details.
882 
883    Do not malloc or free dnz and onz that is handled internally by these routines
884 
885    This is a MACRO not a function because it closes the { started in MatPreallocateInitialize().
886 
887   Concepts: preallocation^Matrix
888 
889 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
890           MatPreallocateSymmetricSetLocalBlock()
891 M*/
892 #define MatPreallocateFinalize(dnz,onz) 0;_4_ierr = PetscFree2(dnz,onz);CHKERRQ(_4_ierr);}
893 
894 /* Routines unique to particular data structures */
895 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat,void *);
896 
897 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat,IS*,IS*);
898 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat,PetscInt *,PetscInt *[],PetscInt *);
899 
900 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat,PetscInt[]);
901 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat,PetscInt[]);
902 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
903 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
904 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
905 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*,PetscInt,PetscBool);
906 
907 #define MAT_SKIP_ALLOCATION -4
908 
909 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
910 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
911 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat,PetscInt,const PetscInt[]);
912 
913 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
914 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
915 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
916 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat,const PetscInt [],const PetscInt [],const PetscScalar []);
917 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
918 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]);
919 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
920 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat,PetscInt[],PetscInt[],PetscInt[]);
921 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
922 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
923 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
924 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
925 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat,Mat*);
926 
927 PETSC_EXTERN PetscErrorCode MatISSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
928 PETSC_EXTERN PetscErrorCode MatSeqDenseSetLDA(Mat,PetscInt);
929 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat,Mat*);
930 
931 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
932 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
933 
934 PETSC_EXTERN PetscErrorCode MatDAADSetCtx(Mat,void*);
935 
936 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat,IS*);
937 /*
938   These routines are not usually accessed directly, rather solving is
939   done through the KSP and PC interfaces.
940 */
941 
942 /*J
943     MatOrderingType - String with the name of a PETSc matrix ordering
944 
945    Level: beginner
946 
947 .seealso: MatGetOrdering()
948 J*/
949 typedef const char* MatOrderingType;
950 #define MATORDERINGNATURAL     "natural"
951 #define MATORDERINGND          "nd"
952 #define MATORDERING1WD         "1wd"
953 #define MATORDERINGRCM         "rcm"
954 #define MATORDERINGQMD         "qmd"
955 #define MATORDERINGROWLENGTH   "rowlength"
956 #define MATORDERINGWBM         "wbm"
957 #define MATORDERINGSPECTRAL    "spectral"
958 #define MATORDERINGAMD         "amd"            /* only works if UMFPACK is installed with PETSc */
959 
960 PETSC_EXTERN PetscErrorCode MatGetOrdering(Mat,MatOrderingType,IS*,IS*);
961 PETSC_EXTERN PetscErrorCode MatGetOrderingList(PetscFunctionList*);
962 PETSC_EXTERN PetscErrorCode MatOrderingRegister(const char[],PetscErrorCode(*)(Mat,MatOrderingType,IS*,IS*));
963 PETSC_EXTERN PetscFunctionList MatOrderingList;
964 
965 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
966 PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat,PetscReal,PetscBool,Mat*);
967 
968 /*S
969     MatFactorShiftType - Numeric Shift.
970 
971    Level: beginner
972 
973 S*/
974 typedef enum {MAT_SHIFT_NONE,MAT_SHIFT_NONZERO,MAT_SHIFT_POSITIVE_DEFINITE,MAT_SHIFT_INBLOCKS} MatFactorShiftType;
975 PETSC_EXTERN const char *const MatFactorShiftTypes[];
976 PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];
977 
978 /*S
979     MatFactorError - indicates what type of error in matrix factor
980 
981     Level: beginner
982 
983     Developer Notes: Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
984 
985 .seealso: MatGetFactor()
986 S*/
987 typedef enum {MAT_FACTOR_NOERROR,MAT_FACTOR_STRUCT_ZEROPIVOT,MAT_FACTOR_NUMERIC_ZEROPIVOT,MAT_FACTOR_OUTMEMORY,MAT_FACTOR_OTHER} MatFactorError;
988 
989 PETSC_EXTERN PetscErrorCode MatFactorGetError(Mat,MatFactorError*);
990 PETSC_EXTERN PetscErrorCode MatFactorClearError(Mat);
991 PETSC_EXTERN PetscErrorCode MatFactorGetErrorZeroPivot(Mat,PetscReal*,PetscInt*);
992 
993 /*S
994    MatFactorInfo - Data passed into the matrix factorization routines, and information about the resulting factorization
995 
996    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE, that is use
997 $     MatFactorInfo  info(MAT_FACTORINFO_SIZE)
998 
999    Notes: These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
1000 
1001       You can use MatFactorInfoInitialize() to set default values.
1002 
1003    Level: developer
1004 
1005 .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor(),
1006           MatFactorInfoInitialize()
1007 
1008 S*/
1009 typedef struct {
1010   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
1011   PetscReal     usedt;
1012   PetscReal     dt;             /* drop tolerance */
1013   PetscReal     dtcol;          /* tolerance for pivoting */
1014   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
1015   PetscReal     fill;           /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1016   PetscReal     levels;         /* ICC/ILU(levels) */
1017   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1018                                    factorization may be faster if do not pivot */
1019   PetscReal     zeropivot;      /* pivot is called zero if less than this */
1020   PetscReal     shifttype;      /* type of shift added to matrix factor to prevent zero pivots */
1021   PetscReal     shiftamount;     /* how large the shift is */
1022 } MatFactorInfo;
1023 
1024 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo*);
1025 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat,IS,const MatFactorInfo*);
1026 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1027 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat,Mat,const MatFactorInfo*);
1028 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat,IS,IS,const MatFactorInfo*);
1029 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat,IS,IS,const MatFactorInfo*);
1030 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1031 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1032 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1033 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat,IS,const MatFactorInfo*);
1034 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat,Mat,const MatFactorInfo*);
1035 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat,PetscInt*,PetscInt*,PetscInt*);
1036 PETSC_EXTERN PetscErrorCode MatSolve(Mat,Vec,Vec);
1037 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat,Vec,Vec);
1038 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat,Vec,Vec);
1039 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat,Vec,Vec,Vec);
1040 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat,Vec,Vec);
1041 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
1042 PETSC_EXTERN PetscErrorCode MatSolves(Mat,Vecs,Vecs);
1043 PETSC_EXTERN PetscErrorCode MatFactorSetSchurIS(Mat,IS);
1044 PETSC_EXTERN PetscErrorCode MatFactorGetSchurComplement(Mat,Mat*);
1045 PETSC_EXTERN PetscErrorCode MatFactorRestoreSchurComplement(Mat,Mat*);
1046 PETSC_EXTERN PetscErrorCode MatFactorInvertSchurComplement(Mat);
1047 PETSC_EXTERN PetscErrorCode MatFactorCreateSchurComplement(Mat,Mat*);
1048 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplement(Mat,Vec,Vec);
1049 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplementTranspose(Mat,Vec,Vec);
1050 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
1051 
1052 /*E
1053     MatSORType - What type of (S)SOR to perform
1054 
1055     Level: beginner
1056 
1057    May be bitwise ORd together
1058 
1059    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1060 
1061    MatSORType may be bitwise ORd together, so do not change the numbers
1062 
1063 .seealso: MatSOR()
1064 E*/
1065 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
1066               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
1067               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
1068               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
1069 PETSC_EXTERN PetscErrorCode MatSOR(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
1070 
1071 /*
1072     These routines are for efficiently computing Jacobians via finite differences.
1073 */
1074 
1075 /*S
1076      MatColoring - Object for managing the coloring of matrices.
1077 
1078    Level: beginner
1079 
1080   Concepts: matrix, coloring
1081 
1082 .seealso:  MatFDColoringCreate() ISColoring MatFDColoring
1083 S*/
1084 typedef struct _p_MatColoring* MatColoring;
1085 /*J
1086     MatColoringType - String with the name of a PETSc matrix coloring
1087 
1088    Level: beginner
1089 
1090 .seealso: MatColoringSetType(), MatColoring
1091 J*/
1092 
1093 typedef const  char*           MatColoringType;
1094 #define MATCOLORINGJP      "jp"
1095 #define MATCOLORINGPOWER   "power"
1096 #define MATCOLORINGNATURAL "natural"
1097 #define MATCOLORINGSL      "sl"
1098 #define MATCOLORINGLF      "lf"
1099 #define MATCOLORINGID      "id"
1100 #define MATCOLORINGGREEDY  "greedy"
1101 
1102 /*E
1103    MatColoringWeightType - Type of weight scheme
1104 
1105     Not Collective
1106 
1107 +   MAT_COLORING_RANDOM  - Random weights
1108 .   MAT_COLORING_LEXICAL - Lexical weighting based upon global numbering.
1109 -   MAT_COLORING_LF      - Last-first weighting.
1110 
1111     Level: intermediate
1112 
1113    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1114 
1115 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1116 E*/
1117 typedef enum {MAT_COLORING_WEIGHT_RANDOM,MAT_COLORING_WEIGHT_LEXICAL,MAT_COLORING_WEIGHT_LF,MAT_COLORING_WEIGHT_SL} MatColoringWeightType;
1118 
1119 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat,MatColoring*);
1120 PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat,PetscInt,PetscInt*);
1121 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring*);
1122 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring,PetscViewer);
1123 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring,MatColoringType);
1124 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1125 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring,PetscInt);
1126 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring,PetscInt*);
1127 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring,PetscInt);
1128 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring,PetscInt*);
1129 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring,ISColoring*);
1130 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[],PetscErrorCode(*)(MatColoring));
1131 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat,PetscInt,PetscInt,ISColoringValue[],ISColoring*);
1132 PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring,MatColoringWeightType);
1133 PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring,PetscReal*,PetscInt*);
1134 PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring,PetscReal **,PetscInt **lperm);
1135 PETSC_EXTERN PetscErrorCode MatColoringTestValid(MatColoring,ISColoring);
1136 
1137 /*S
1138      MatFDColoring - Object for computing a sparse Jacobian via finite differences
1139         and coloring
1140 
1141    Level: beginner
1142 
1143   Concepts: coloring, sparse Jacobian, finite differences
1144 
1145 .seealso:  MatFDColoringCreate()
1146 S*/
1147 typedef struct _p_MatFDColoring* MatFDColoring;
1148 
1149 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
1150 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring*);
1151 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring,PetscViewer);
1152 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring,PetscErrorCode (*)(void),void*);
1153 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring,PetscErrorCode (**)(void),void**);
1154 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
1155 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1156 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat,MatFDColoring,Vec,void *);
1157 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring,Vec);
1158 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring,PetscInt*,PetscInt*[]);
1159 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat,ISColoring,MatFDColoring);
1160 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring,PetscInt,PetscInt);
1161 
1162 
1163 /*S
1164      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring
1165 
1166    Level: beginner
1167 
1168   Concepts: coloring, sparse matrix product
1169 
1170 .seealso:  MatTransposeColoringCreate()
1171 S*/
1172 typedef struct _p_MatTransposeColoring* MatTransposeColoring;
1173 
1174 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat,ISColoring,MatTransposeColoring *);
1175 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring,Mat,Mat);
1176 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring,Mat,Mat);
1177 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring*);
1178 
1179 /*
1180     These routines are for partitioning matrices: currently used only
1181   for adjacency matrix, MatCreateMPIAdj().
1182 */
1183 
1184 /*S
1185      MatPartitioning - Object for managing the partitioning of a matrix or graph
1186 
1187    Level: beginner
1188 
1189   Concepts: partitioning
1190 
1191 .seealso:  MatPartitioningCreate(), MatPartitioningType
1192 S*/
1193 typedef struct _p_MatPartitioning* MatPartitioning;
1194 
1195 /*J
1196     MatPartitioningType - String with the name of a PETSc matrix partitioning
1197 
1198    Level: beginner
1199 dm
1200 .seealso: MatPartitioningCreate(), MatPartitioning
1201 J*/
1202 typedef const char* MatPartitioningType;
1203 #define MATPARTITIONINGCURRENT  "current"
1204 #define MATPARTITIONINGAVERAGE   "average"
1205 #define MATPARTITIONINGSQUARE   "square"
1206 #define MATPARTITIONINGPARMETIS "parmetis"
1207 #define MATPARTITIONINGCHACO    "chaco"
1208 #define MATPARTITIONINGPARTY    "party"
1209 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1210 #define MATPARTITIONINGHIERARCH  "hierarch"
1211 
1212 
1213 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1214 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning,MatPartitioningType);
1215 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning,PetscInt);
1216 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning,Mat);
1217 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning,const PetscInt[]);
1218 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1219 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning,IS*);
1220 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning*);
1221 
1222 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[],PetscErrorCode (*)(MatPartitioning));
1223 
1224 
1225 
1226 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning,PetscViewer);
1227 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1228 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
1229 
1230 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetRepartition(MatPartitioning part);
1231 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1232 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1233 
1234 typedef enum { MP_CHACO_MULTILEVEL=1,MP_CHACO_SPECTRAL=2,MP_CHACO_LINEAR=4,MP_CHACO_RANDOM=5,MP_CHACO_SCATTERED=6 } MPChacoGlobalType;
1235 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1236 typedef enum { MP_CHACO_KERNIGHAN=1,MP_CHACO_NONE=2 } MPChacoLocalType;
1237 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1238 typedef enum { MP_CHACO_LANCZOS=0,MP_CHACO_RQI=1 } MPChacoEigenType;
1239 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1240 
1241 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning,MPChacoGlobalType);
1242 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning,MPChacoGlobalType*);
1243 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning,MPChacoLocalType);
1244 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning,MPChacoLocalType*);
1245 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning,PetscReal);
1246 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning,MPChacoEigenType);
1247 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning,MPChacoEigenType*);
1248 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning,PetscReal);
1249 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning,PetscReal*);
1250 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning,PetscInt);
1251 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning,PetscInt*);
1252 
1253 #define MP_PARTY_OPT "opt"
1254 #define MP_PARTY_LIN "lin"
1255 #define MP_PARTY_SCA "sca"
1256 #define MP_PARTY_RAN "ran"
1257 #define MP_PARTY_GBF "gbf"
1258 #define MP_PARTY_GCF "gcf"
1259 #define MP_PARTY_BUB "bub"
1260 #define MP_PARTY_DEF "def"
1261 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning,const char*);
1262 #define MP_PARTY_HELPFUL_SETS "hs"
1263 #define MP_PARTY_KERNIGHAN_LIN "kl"
1264 #define MP_PARTY_NONE "no"
1265 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning,const char*);
1266 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning,PetscReal);
1267 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning,PetscBool);
1268 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning,PetscBool);
1269 
1270 typedef enum { MP_PTSCOTCH_QUALITY,MP_PTSCOTCH_SPEED,MP_PTSCOTCH_BALANCE,MP_PTSCOTCH_SAFETY,MP_PTSCOTCH_SCALABILITY } MPPTScotchStrategyType;
1271 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1272 
1273 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning,PetscReal);
1274 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning,PetscReal*);
1275 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning,MPPTScotchStrategyType);
1276 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning,MPPTScotchStrategyType*);
1277 
1278 /*
1279  * hierarchical partitioning
1280  */
1281 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetFineparts(MatPartitioning,IS*);
1282 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetCoarseparts(MatPartitioning,IS*);
1283 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNcoarseparts(MatPartitioning,PetscInt);
1284 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNfineparts(MatPartitioning, PetscInt);
1285 
1286 PETSC_EXTERN PetscErrorCode MatMeshToVertexGraph(Mat,PetscInt,Mat*);
1287 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat,PetscInt,Mat*);
1288 
1289 /*
1290     If you add entries here you must also add them to petsc/finclude/petscmat.h
1291 */
1292 typedef enum { MATOP_SET_VALUES=0,
1293                MATOP_GET_ROW=1,
1294                MATOP_RESTORE_ROW=2,
1295                MATOP_MULT=3,
1296                MATOP_MULT_ADD=4,
1297                MATOP_MULT_TRANSPOSE=5,
1298                MATOP_MULT_TRANSPOSE_ADD=6,
1299                MATOP_SOLVE=7,
1300                MATOP_SOLVE_ADD=8,
1301                MATOP_SOLVE_TRANSPOSE=9,
1302                MATOP_SOLVE_TRANSPOSE_ADD=10,
1303                MATOP_LUFACTOR=11,
1304                MATOP_CHOLESKYFACTOR=12,
1305                MATOP_SOR=13,
1306                MATOP_TRANSPOSE=14,
1307                MATOP_GETINFO=15,
1308                MATOP_EQUAL=16,
1309                MATOP_GET_DIAGONAL=17,
1310                MATOP_DIAGONAL_SCALE=18,
1311                MATOP_NORM=19,
1312                MATOP_ASSEMBLY_BEGIN=20,
1313                MATOP_ASSEMBLY_END=21,
1314                MATOP_SET_OPTION=22,
1315                MATOP_ZERO_ENTRIES=23,
1316                MATOP_ZERO_ROWS=24,
1317                MATOP_LUFACTOR_SYMBOLIC=25,
1318                MATOP_LUFACTOR_NUMERIC=26,
1319                MATOP_CHOLESKY_FACTOR_SYMBOLIC=27,
1320                MATOP_CHOLESKY_FACTOR_NUMERIC=28,
1321                MATOP_SETUP_PREALLOCATION=29,
1322                MATOP_ILUFACTOR_SYMBOLIC=30,
1323                MATOP_ICCFACTOR_SYMBOLIC=31,
1324                MATOP_GET_DIAGONAL_BLOCK=32,
1325                /* MATOP_PLACEHOLDER_33=33, */
1326                MATOP_DUPLICATE=34,
1327                MATOP_FORWARD_SOLVE=35,
1328                MATOP_BACKWARD_SOLVE=36,
1329                MATOP_ILUFACTOR=37,
1330                MATOP_ICCFACTOR=38,
1331                MATOP_AXPY=39,
1332                MATOP_GET_SUBMATRICES=40,
1333                MATOP_INCREASE_OVERLAP=41,
1334                MATOP_GET_VALUES=42,
1335                MATOP_COPY=43,
1336                MATOP_GET_ROW_MAX=44,
1337                MATOP_SCALE=45,
1338                MATOP_SHIFT=46,
1339                MATOP_DIAGONAL_SET=47,
1340                MATOP_ZERO_ROWS_COLUMNS=48,
1341                MATOP_SET_RANDOM=49,
1342                MATOP_GET_ROW_IJ=50,
1343                MATOP_RESTORE_ROW_IJ=51,
1344                MATOP_GET_COLUMN_IJ=52,
1345                MATOP_RESTORE_COLUMN_IJ=53,
1346                MATOP_FDCOLORING_CREATE=54,
1347                MATOP_COLORING_PATCH=55,
1348                MATOP_SET_UNFACTORED=56,
1349                MATOP_PERMUTE=57,
1350                MATOP_SET_VALUES_BLOCKED=58,
1351                MATOP_GET_SUBMATRIX=59,
1352                MATOP_DESTROY=60,
1353                MATOP_VIEW=61,
1354                MATOP_CONVERT_FROM=62,
1355                MATOP_MATMAT_MULT=63,
1356                MATOP_MATMAT_MULT_SYMBOLIC=64,
1357                MATOP_MATMAT_MULT_NUMERIC=65,
1358                MATOP_SET_LOCAL_TO_GLOBAL_MAP=66,
1359                MATOP_SET_VALUES_LOCAL=67,
1360                MATOP_ZERO_ROWS_LOCAL=68,
1361                MATOP_GET_ROW_MAX_ABS=69,
1362                MATOP_GET_ROW_MIN_ABS=70,
1363                MATOP_CONVERT=71,
1364                MATOP_SET_COLORING=72,
1365                /* MATOP_PLACEHOLDER_73=73, */
1366                MATOP_SET_VALUES_ADIFOR=74,
1367                MATOP_FD_COLORING_APPLY=75,
1368                MATOP_SET_FROM_OPTIONS=76,
1369                MATOP_MULT_CONSTRAINED=77,
1370                MATOP_MULT_TRANSPOSE_CONSTRAIN=78,
1371                MATOP_FIND_ZERO_DIAGONALS=79,
1372                MATOP_MULT_MULTIPLE=80,
1373                MATOP_SOLVE_MULTIPLE=81,
1374                MATOP_GET_INERTIA=82,
1375                MATOP_LOAD=83,
1376                MATOP_IS_SYMMETRIC=84,
1377                MATOP_IS_HERMITIAN=85,
1378                MATOP_IS_STRUCTURALLY_SYMMETRIC=86,
1379                MATOP_SET_VALUES_BLOCKEDLOCAL=87,
1380                MATOP_GET_VECS=88,
1381                MATOP_MAT_MULT=89,
1382                MATOP_MAT_MULT_SYMBOLIC=90,
1383                MATOP_MAT_MULT_NUMERIC=91,
1384                MATOP_PTAP=92,
1385                MATOP_PTAP_SYMBOLIC=93,
1386                MATOP_PTAP_NUMERIC=94,
1387                MATOP_MAT_TRANSPOSE_MULT=95,
1388                MATOP_MAT_TRANSPOSE_MULT_SYMBO=96,
1389                MATOP_MAT_TRANSPOSE_MULT_NUMER=97,
1390                /* MATOP_PLACEHOLDER_98=98, */
1391                /* MATOP_PLACEHOLDER_99=99, */
1392                /* MATOP_PLACEHOLDER_100=100, */
1393                /* MATOP_PLACEHOLDER_101=101, */
1394                MATOP_CONJUGATE=102,
1395                /* MATOP_PLACEHOLDER_103=103, */
1396                MATOP_SET_VALUES_ROW=104,
1397                MATOP_REAL_PART=105,
1398                MATOP_IMAGINARY_PART=106,
1399                MATOP_GET_ROW_UPPER_TRIANGULAR=107,
1400                MATOP_RESTORE_ROW_UPPER_TRIANG=108,
1401                MATOP_MAT_SOLVE=109,
1402                MATOP_GET_REDUNDANT_MATRIX=110,
1403                MATOP_GET_ROW_MIN=111,
1404                MATOP_GET_COLUMN_VECTOR=112,
1405                MATOP_MISSING_DIAGONAL=113,
1406                MATOP_GET_SEQ_NONZERO_STRUCTUR=114,
1407                MATOP_CREATE=115,
1408                MATOP_GET_GHOSTS=116,
1409                MATOP_GET_LOCAL_SUB_MATRIX=117,
1410                MATOP_RESTORE_LOCALSUB_MATRIX=118,
1411                MATOP_MULT_DIAGONAL_BLOCK=119,
1412                MATOP_HERMITIAN_TRANSPOSE=120,
1413                MATOP_MULT_HERMITIAN_TRANSPOSE=121,
1414                MATOP_MULT_HERMITIAN_TRANS_ADD=122,
1415                MATOP_GET_MULTI_PROC_BLOCK=123,
1416                MATOP_FIND_NONZERO_ROWS=124,
1417                MATOP_GET_COLUMN_NORMS=125,
1418                MATOP_INVERT_BLOCK_DIAGONAL=126,
1419                /* MATOP_PLACEHOLDER_127=127, */
1420                MATOP_GET_SUB_MATRICES_PARALLE=128,
1421                MATOP_SET_VALUES_BATCH=129,
1422                MATOP_TRANSPOSE_MAT_MULT=130,
1423                MATOP_TRANSPOSE_MAT_MULT_SYMBO=131,
1424                MATOP_TRANSPOSE_MAT_MULT_NUMER=132,
1425                MATOP_TRANSPOSE_COLORING_CREAT=133,
1426                MATOP_TRANS_COLORING_APPLY_SPT=134,
1427                MATOP_TRANS_COLORING_APPLY_DEN=135,
1428                MATOP_RART=136,
1429                MATOP_RART_SYMBOLIC=137,
1430                MATOP_RART_NUMERIC=138,
1431                MATOP_SET_BLOCK_SIZES=139,
1432                MATOP_AYPX=140,
1433                MATOP_RESIDUAL=141,
1434                MATOP_FDCOLORING_SETUP=142,
1435                MATOP_MPICONCATENATESEQ=144
1436              } MatOperation;
1437 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat,MatOperation,PetscBool *);
1438 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat,MatOperation,void(*)(void));
1439 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat,MatOperation,void(**)(void));
1440 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat,void*);
1441 
1442 /*
1443    Codes for matrices stored on disk. By default they are
1444    stored in a universal format. By changing the format with
1445    PetscViewerPushFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
1446    be stored in a way natural for the matrix, for example dense matrices
1447    would be stored as dense. Matrices stored this way may only be
1448    read into matrices of the same type.
1449 */
1450 #define MATRIX_BINARY_FORMAT_DENSE -1
1451 
1452 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1453 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat,Mat*);
1454 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat,Mat);
1455 PETSC_EXTERN PetscErrorCode MatISGetMPIXAIJ(Mat,MatReuse,Mat*);
1456 
1457 /*S
1458      MatNullSpace - Object that removes a null space from a vector, i.e.
1459          orthogonalizes the vector to a subsapce
1460 
1461    Level: advanced
1462 
1463   Concepts: matrix; linear operator, null space
1464 
1465   Users manual sections:
1466 .   sec_singular
1467 
1468 .seealso:  MatNullSpaceCreate()
1469 S*/
1470 typedef struct _p_MatNullSpace* MatNullSpace;
1471 
1472 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm,PetscBool ,PetscInt,const Vec[],MatNullSpace*);
1473 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace,PetscErrorCode (*)(MatNullSpace,Vec,void*),void*);
1474 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace*);
1475 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace,Vec);
1476 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
1477 PETSC_EXTERN PetscErrorCode MatGetTransposeNullSpace(Mat, MatNullSpace *);
1478 PETSC_EXTERN PetscErrorCode MatSetTransposeNullSpace(Mat,MatNullSpace);
1479 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat,MatNullSpace);
1480 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat,MatNullSpace);
1481 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat,MatNullSpace*);
1482 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace,Mat,PetscBool  *);
1483 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace,PetscViewer);
1484 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace,PetscBool*,PetscInt*,const Vec**);
1485 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec,MatNullSpace*);
1486 
1487 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat,IS);
1488 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1489 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat,PetscInt *);
1490 PETSC_EXTERN PetscErrorCode MatSeqBAIJInvertBlockDiagonal(Mat);
1491 
1492 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat,PetscInt,Mat*);
1493 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat,PetscInt,Mat*);
1494 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat,Mat*);
1495 
1496 PETSC_EXTERN PetscErrorCode MatComputeExplicitOperator(Mat,Mat*);
1497 
1498 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat,Vec);
1499 
1500 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
1501 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat,Vec,Vec);
1502 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat,PetscErrorCode(*)(void*,Vec,Vec),void*);
1503 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat,PetscErrorCode (*)(void*,PetscInt,Vec,PetscScalar*));
1504 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat,PetscErrorCode (*)(void*,Vec));
1505 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat,PetscScalar[],PetscInt);
1506 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
1507 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat,PetscReal);
1508 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat,PetscInt);
1509 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat,PetscScalar *);
1510 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat,const char[]);
1511 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void*,Vec,Vec,PetscScalar*);
1512 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat,PetscErrorCode (*)(void*,Vec,Vec,PetscScalar*),void*);
1513 
1514 /*S
1515     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
1516               Jacobian vector products
1517 
1518     Notes: MATMFFD is a specific MatType which uses the MatMFFD data structure
1519 
1520            MatMFFD*() methods actually take the Mat as their first argument. Not a MatMFFD data structure
1521 
1522     Level: developer
1523 
1524 .seealso: MATMFFD, MatCreateMFFD(), MatMFFDSetFuction(), MatMFFDSetType(), MatMFFDRegister()
1525 S*/
1526 typedef struct _p_MatMFFD* MatMFFD;
1527 
1528 /*J
1529     MatMFFDType - algorithm used to compute the h used in computing matrix-vector products via differencing of the function
1530 
1531    Level: beginner
1532 
1533 .seealso: MatMFFDSetType(), MatMFFDRegister()
1534 J*/
1535 typedef const char* MatMFFDType;
1536 #define MATMFFD_DS  "ds"
1537 #define MATMFFD_WP  "wp"
1538 
1539 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat,MatMFFDType);
1540 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[],PetscErrorCode (*)(MatMFFD));
1541 
1542 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat,PetscReal);
1543 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat,PetscBool );
1544 
1545 PETSC_EXTERN PetscErrorCode MatFDColoringSetType(MatFDColoring,MatMFFDType);
1546 
1547 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
1548 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
1549 
1550 /*
1551    PETSc interface to MUMPS
1552 */
1553 #ifdef PETSC_HAVE_MUMPS
1554 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat,PetscInt,PetscInt);
1555 PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat,PetscInt,PetscInt*);
1556 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat,PetscInt,PetscReal);
1557 PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat,PetscInt,PetscReal*);
1558 
1559 PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat,PetscInt,PetscInt*);
1560 PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat,PetscInt,PetscInt*);
1561 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat,PetscInt,PetscReal*);
1562 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat,PetscInt,PetscReal*);
1563 #endif
1564 
1565 /*
1566    PETSc interface to Mkl_Pardiso
1567 */
1568 #ifdef PETSC_HAVE_MKL_PARDISO
1569 PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat,PetscInt,PetscInt);
1570 #endif
1571 
1572 /*
1573    PETSc interface to Mkl_CPardiso
1574 */
1575 #ifdef PETSC_HAVE_MKL_CPARDISO
1576 PETSC_EXTERN PetscErrorCode MatMkl_CPardisoSetCntl(Mat,PetscInt,PetscInt);
1577 #endif
1578 
1579 /*
1580    PETSc interface to SUPERLU
1581 */
1582 #ifdef PETSC_HAVE_SUPERLU
1583 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat,PetscReal);
1584 #endif
1585 
1586 /*
1587    PETSc interface to SUPERLU_DIST
1588 */
1589 #ifdef PETSC_HAVE_SUPERLU_DIST
1590 PETSC_EXTERN PetscErrorCode MatSuperluDistGetDiagU(Mat,PetscScalar*);
1591 #endif
1592 
1593 /*
1594    PETSc interface to STRUMPACK
1595 */
1596 #ifdef PETSC_HAVE_STRUMPACK
1597 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSRelCompTol(Mat,PetscReal);
1598 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMinSize(Mat,PetscInt);
1599 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetColPerm(Mat,PetscBool);
1600 #endif
1601 
1602 
1603 #ifdef PETSC_HAVE_CUDA
1604 /*E
1605     MatCUSPARSEStorageFormat - indicates the storage format for CUSPARSE (GPU)
1606     matrices.
1607 
1608     Not Collective
1609 
1610 +   MAT_CUSPARSE_CSR - Compressed Sparse Row
1611 .   MAT_CUSPARSE_ELL - Ellpack (requires CUDA 4.2 or later).
1612 -   MAT_CUSPARSE_HYB - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
1613 
1614     Level: intermediate
1615 
1616    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1617 
1618 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEFormatOperation
1619 E*/
1620 
1621 typedef enum {MAT_CUSPARSE_CSR, MAT_CUSPARSE_ELL, MAT_CUSPARSE_HYB} MatCUSPARSEStorageFormat;
1622 
1623 /* these will be strings associated with enumerated type defined above */
1624 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
1625 
1626 /*E
1627     MatCUSPARSEFormatOperation - indicates the operation of CUSPARSE (GPU)
1628     matrices whose operation should use a particular storage format.
1629 
1630     Not Collective
1631 
1632 +   MAT_CUSPARSE_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1633 .   MAT_CUSPARSE_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1634 .   MAT_CUSPARSE_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1635 -   MAT_CUSPARSE_ALL - sets the storage format for all CUSPARSE (GPU) matrices
1636 
1637     Level: intermediate
1638 
1639 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEStorageFormat
1640 E*/
1641 typedef enum {MAT_CUSPARSE_MULT_DIAG, MAT_CUSPARSE_MULT_OFFDIAG, MAT_CUSPARSE_MULT, MAT_CUSPARSE_ALL} MatCUSPARSEFormatOperation;
1642 
1643 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1644 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1645 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat,MatCUSPARSEFormatOperation,MatCUSPARSEStorageFormat);
1646 #endif
1647 
1648 #if defined(PETSC_HAVE_CUSP)
1649 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1650 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1651 
1652 /*E
1653     MatCUSPStorageFormat - indicates the storage format for CUSP (GPU)
1654     matrices.
1655 
1656     Not Collective
1657 
1658 +   MAT_CUSP_CSR - Compressed Sparse Row
1659 .   MAT_CUSP_DIA - Diagonal
1660 -   MAT_CUSP_ELL - Ellpack
1661 
1662     Level: intermediate
1663 
1664    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1665 
1666 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1667 E*/
1668 typedef enum {MAT_CUSP_CSR, MAT_CUSP_DIA, MAT_CUSP_ELL} MatCUSPStorageFormat;
1669 
1670 /* these will be strings associated with enumerated type defined above */
1671 PETSC_EXTERN const char *const MatCUSPStorageFormats[];
1672 
1673 /*E
1674     MatCUSPFormatOperation - indicates the operation of CUSP (GPU)
1675     matrices whose operation should use a particular storage format.
1676 
1677     Not Collective
1678 
1679 +   MAT_CUSP_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1680 .   MAT_CUSP_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1681 .   MAT_CUSP_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1682 -   MAT_CUSP_ALL - sets the storage format for all CUSP (GPU) matrices
1683 
1684     Level: intermediate
1685 
1686    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1687 
1688 .seealso: MatCUSPSetFormat(), MatCUSPStorageFormat
1689 E*/
1690 typedef enum {MAT_CUSP_MULT_DIAG, MAT_CUSP_MULT_OFFDIAG, MAT_CUSP_MULT, MAT_CUSP_ALL} MatCUSPFormatOperation;
1691 
1692 PETSC_EXTERN PetscErrorCode MatCUSPSetFormat(Mat,MatCUSPFormatOperation,MatCUSPStorageFormat);
1693 #endif
1694 
1695 #if defined(PETSC_HAVE_VIENNACL)
1696 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1697 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1698 #endif
1699 
1700 /*
1701    PETSc interface to FFTW
1702 */
1703 #if defined(PETSC_HAVE_FFTW)
1704 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat,Vec,Vec);
1705 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat,Vec,Vec);
1706 PETSC_EXTERN PetscErrorCode MatCreateVecsFFTW(Mat,Vec*,Vec*,Vec*);
1707 #endif
1708 
1709 /*
1710    PETSc interface to ELEMENTAL
1711 */
1712 #if defined(PETSC_HAVE_ELEMENTAL)
1713 #if defined(PETSC_USE_COMPLEX)
1714 typedef El::Complex<PetscReal> PetscElemScalar;
1715 #else
1716 typedef PetscScalar PetscElemScalar;
1717 #endif
1718 PETSC_EXTERN PetscErrorCode PetscElementalInitializePackage(void);
1719 PETSC_EXTERN PetscErrorCode PetscElementalFinalizePackage(void);
1720 #endif
1721 
1722 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm,PetscInt,const IS[],PetscInt,const IS[],const Mat[],Mat*);
1723 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat,PetscInt*,PetscInt*);
1724 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat,IS[],IS[]);
1725 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat,IS[],IS[]);
1726 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat,PetscInt*,PetscInt*,Mat***);
1727 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat,PetscInt,PetscInt,Mat*);
1728 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat,VecType);
1729 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat,PetscInt,const IS[],PetscInt,const IS[],const Mat[]);
1730 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat,PetscInt,PetscInt,Mat);
1731 
1732 PETSC_EXTERN PetscErrorCode MatChop(Mat,PetscReal);
1733 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat,PetscReal,PetscInt*);
1734 
1735 PETSC_EXTERN PetscErrorCode MatSubdomainsCreateCoalesce(Mat,PetscInt,PetscInt*,IS**);
1736 
1737 PETSC_EXTERN PetscErrorCode MatPreallocatorPreallocate(Mat,PetscBool,Mat);
1738 
1739 PETSC_INTERN PetscErrorCode MatHeaderMerge(Mat,Mat*);
1740 PETSC_EXTERN PetscErrorCode MatHeaderReplace(Mat,Mat*);
1741 
1742 #endif
1743