xref: /petsc/include/petscmat.h (revision 5e9742b91f627311f5d72163ad46d3504f83eade)
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
10 
11    Level: beginner
12 
13   Concepts: matrix; linear operator
14 
15 .seealso:  MatCreate(), MatType, MatSetType()
16 S*/
17 typedef struct _p_Mat*           Mat;
18 
19 /*J
20     MatType - String with the name of a PETSc matrix or the creation function
21        with an optional dynamic library name, for example
22        http://www.mcs.anl.gov/petsc/lib.a:mymatcreate()
23 
24    Level: beginner
25 
26 .seealso: MatSetType(), Mat, MatSolverPackage
27 J*/
28 typedef const char* MatType;
29 #define MATSAME            "same"
30 #define MATMAIJ            "maij"
31 #define MATSEQMAIJ         "seqmaij"
32 #define MATMPIMAIJ         "mpimaij"
33 #define MATIS              "is"
34 #define MATAIJ             "aij"
35 #define MATSEQAIJ          "seqaij"
36 #define MATSEQAIJPTHREAD   "seqaijpthread"
37 #define MATAIJPTHREAD      "aijpthread"
38 #define MATMPIAIJ          "mpiaij"
39 #define MATAIJCRL          "aijcrl"
40 #define MATSEQAIJCRL       "seqaijcrl"
41 #define MATMPIAIJCRL       "mpiaijcrl"
42 #define MATAIJCUSP         "aijcusp"
43 #define MATSEQAIJCUSP      "seqaijcusp"
44 #define MATMPIAIJCUSP      "mpiaijcusp"
45 #define MATAIJCUSPARSE     "aijcusparse"
46 #define MATSEQAIJCUSPARSE  "seqaijcusparse"
47 #define MATMPIAIJCUSPARSE  "mpiaijcusparse"
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 MATSEQBSTRM        "seqbstrm"
64 #define MATMPIBSTRM        "mpibstrm"
65 #define MATBSTRM           "bstrm"
66 #define MATSEQSBSTRM       "seqsbstrm"
67 #define MATMPISBSTRM       "mpisbstrm"
68 #define MATSBSTRM          "sbstrm"
69 #define MATDAAD            "daad"
70 #define MATMFFD            "mffd"
71 #define MATNORMAL          "normal"
72 #define MATLRC             "lrc"
73 #define MATSCATTER         "scatter"
74 #define MATBLOCKMAT        "blockmat"
75 #define MATCOMPOSITE       "composite"
76 #define MATFFT             "fft"
77 #define MATFFTW            "fftw"
78 #define MATSEQCUFFT        "seqcufft"
79 #define MATTRANSPOSEMAT    "transpose"
80 #define MATSCHURCOMPLEMENT "schurcomplement"
81 #define MATPYTHON          "python"
82 #define MATHYPRESTRUCT     "hyprestruct"
83 #define MATHYPRESSTRUCT    "hypresstruct"
84 #define MATSUBMATRIX       "submatrix"
85 #define MATLOCALREF        "localref"
86 #define MATNEST            "nest"
87 
88 /*J
89     MatSolverPackage - String with the name of a PETSc matrix solver type.
90 
91     For example: "petsc" indicates what PETSc provides, "superlu" indicates either
92        SuperLU or SuperLU_Dist etc.
93 
94 
95    Level: beginner
96 
97 .seealso: MatGetFactor(), Mat, MatSetType(), MatType
98 J*/
99 #define MatSolverPackage char*
100 #define MATSOLVERSUPERLU      "superlu"
101 #define MATSOLVERSUPERLU_DIST "superlu_dist"
102 #define MATSOLVERUMFPACK      "umfpack"
103 #define MATSOLVERCHOLMOD      "cholmod"
104 #define MATSOLVERESSL         "essl"
105 #define MATSOLVERLUSOL        "lusol"
106 #define MATSOLVERMUMPS        "mumps"
107 #define MATSOLVERPASTIX       "pastix"
108 #define MATSOLVERMATLAB       "matlab"
109 #define MATSOLVERPETSC        "petsc"
110 #define MATSOLVERBAS          "bas"
111 #define MATSOLVERCUSPARSE     "cusparse"
112 #define MATSOLVERBSTRM        "bstrm"
113 #define MATSOLVERSBSTRM       "sbstrm"
114 #define MATSOLVERELEMENTAL    "elemental"
115 #define MATSOLVERCLIQUE       "clique"
116 
117 /*E
118     MatFactorType - indicates what type of factorization is requested
119 
120     Level: beginner
121 
122    Any additions/changes here MUST also be made in include/finclude/petscmat.h
123 
124 .seealso: MatSolverPackage, MatGetFactor()
125 E*/
126 typedef enum {MAT_FACTOR_NONE, MAT_FACTOR_LU, MAT_FACTOR_CHOLESKY, MAT_FACTOR_ILU, MAT_FACTOR_ICC,MAT_FACTOR_ILUDT} MatFactorType;
127 PETSC_EXTERN const char *const MatFactorTypes[];
128 
129 PETSC_EXTERN PetscErrorCode MatGetFactor(Mat,const MatSolverPackage,MatFactorType,Mat*);
130 PETSC_EXTERN PetscErrorCode MatGetFactorAvailable(Mat,const MatSolverPackage,MatFactorType,PetscBool *);
131 PETSC_EXTERN PetscErrorCode MatFactorGetSolverPackage(Mat,const MatSolverPackage*);
132 PETSC_EXTERN PetscErrorCode MatGetFactorType(Mat,MatFactorType*);
133 
134 /* Logging support */
135 #define    MAT_FILE_CLASSID 1211216    /* used to indicate matrices in binary files */
136 PETSC_EXTERN PetscClassId MAT_CLASSID;
137 PETSC_EXTERN PetscClassId MAT_FDCOLORING_CLASSID;
138 PETSC_EXTERN PetscClassId MAT_TRANSPOSECOLORING_CLASSID;
139 PETSC_EXTERN PetscClassId MAT_PARTITIONING_CLASSID;
140 PETSC_EXTERN PetscClassId MAT_COARSEN_CLASSID;
141 PETSC_EXTERN PetscClassId MAT_NULLSPACE_CLASSID;
142 PETSC_EXTERN PetscClassId MATMFFD_CLASSID;
143 
144 /*E
145     MatReuse - Indicates if matrices obtained from a previous call to MatGetSubMatrices()
146      or MatGetSubMatrix() are to be reused to store the new matrix values. For MatConvert() is used to indicate
147      that the input matrix is to be replaced with the converted matrix.
148 
149     Level: beginner
150 
151    Any additions/changes here MUST also be made in include/finclude/petscmat.h
152 
153 .seealso: MatGetSubMatrices(), MatGetSubMatrix(), MatDestroyMatrices(), MatConvert()
154 E*/
155 typedef enum {MAT_INITIAL_MATRIX,MAT_REUSE_MATRIX,MAT_IGNORE_MATRIX} MatReuse;
156 
157 /*E
158     MatGetSubMatrixOption - Indicates if matrices obtained from a call to MatGetSubMatrices()
159      include the matrix values. Currently it is only used by MatGetSeqNonzerostructure().
160 
161     Level: beginner
162 
163 .seealso: MatGetSeqNonzerostructure()
164 E*/
165 typedef enum {MAT_DO_NOT_GET_VALUES,MAT_GET_VALUES} MatGetSubMatrixOption;
166 
167 PETSC_EXTERN PetscErrorCode MatInitializePackage(void);
168 
169 PETSC_EXTERN PetscErrorCode MatCreate(MPI_Comm,Mat*);
170 PETSC_EXTERN PetscErrorCode MatSetSizes(Mat,PetscInt,PetscInt,PetscInt,PetscInt);
171 PETSC_EXTERN PetscErrorCode MatSetType(Mat,MatType);
172 PETSC_EXTERN PetscErrorCode MatSetFromOptions(Mat);
173 PETSC_EXTERN PetscErrorCode MatViewFromOptions(Mat,const char[],const char[]);
174 PETSC_EXTERN PetscErrorCode MatRegisterAll(void);
175 PETSC_EXTERN PetscErrorCode MatRegister(const char[],PetscErrorCode(*)(Mat));
176 PETSC_EXTERN PetscErrorCode MatRegisterBaseName(const char[],const char[],const char[]);
177 PETSC_EXTERN PetscErrorCode MatSetOptionsPrefix(Mat,const char[]);
178 PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefix(Mat,const char[]);
179 PETSC_EXTERN PetscErrorCode MatGetOptionsPrefix(Mat,const char*[]);
180 
181 PETSC_EXTERN PetscBool         MatRegisterAllCalled;
182 PETSC_EXTERN PetscFunctionList MatList;
183 PETSC_EXTERN PetscFunctionList MatColoringList;
184 PETSC_EXTERN PetscFunctionList MatPartitioningList;
185 PETSC_EXTERN PetscFunctionList MatCoarsenList;
186 
187 /*E
188     MatStructure - Indicates if the matrix has the same nonzero structure
189 
190     Level: beginner
191 
192    Any additions/changes here MUST also be made in include/finclude/petscmat.h
193 
194 .seealso: MatCopy(), KSPSetOperators(), PCSetOperators()
195 E*/
196 typedef enum {DIFFERENT_NONZERO_PATTERN,SUBSET_NONZERO_PATTERN,SAME_NONZERO_PATTERN,SAME_PRECONDITIONER} MatStructure;
197 
198 PETSC_EXTERN PetscErrorCode MatCreateSeqDense(MPI_Comm,PetscInt,PetscInt,PetscScalar[],Mat*);
199 PETSC_EXTERN PetscErrorCode MatCreateDense(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar[],Mat*);
200 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
201 PETSC_EXTERN PetscErrorCode MatCreateAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
202 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
203 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSplitArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],PetscInt[],PetscInt[],PetscScalar[],Mat*);
204 
205 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
206 PETSC_EXTERN PetscErrorCode MatCreateBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
207 PETSC_EXTERN PetscErrorCode MatCreateMPIBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat*);
208 
209 PETSC_EXTERN PetscErrorCode MatCreateMPIAdj(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscInt[],Mat*);
210 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
211 
212 PETSC_EXTERN PetscErrorCode MatCreateSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
213 PETSC_EXTERN PetscErrorCode MatCreateMPISBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
214 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
215 PETSC_EXTERN PetscErrorCode MatXAIJSetPreallocation(Mat,PetscInt,const PetscInt*,const PetscInt*,const PetscInt*,const PetscInt*);
216 
217 PETSC_EXTERN PetscErrorCode MatCreateShell(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,void *,Mat*);
218 PETSC_EXTERN PetscErrorCode MatCreateNormal(Mat,Mat*);
219 PETSC_EXTERN PetscErrorCode MatCreateLRC(Mat,Mat,Mat,Mat*);
220 PETSC_EXTERN PetscErrorCode MatCreateIS(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,ISLocalToGlobalMapping,Mat*);
221 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
222 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
223 
224 PETSC_EXTERN PetscErrorCode MatCreateSeqBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
225 PETSC_EXTERN PetscErrorCode MatCreateMPIBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
226 PETSC_EXTERN PetscErrorCode MatCreateSeqSBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
227 PETSC_EXTERN PetscErrorCode MatCreateMPISBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
228 
229 PETSC_EXTERN PetscErrorCode MatCreateScatter(MPI_Comm,VecScatter,Mat*);
230 PETSC_EXTERN PetscErrorCode MatScatterSetVecScatter(Mat,VecScatter);
231 PETSC_EXTERN PetscErrorCode MatScatterGetVecScatter(Mat,VecScatter*);
232 PETSC_EXTERN PetscErrorCode MatCreateBlockMat(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt*,Mat*);
233 PETSC_EXTERN PetscErrorCode MatCompositeAddMat(Mat,Mat);
234 PETSC_EXTERN PetscErrorCode MatCompositeMerge(Mat);
235 PETSC_EXTERN PetscErrorCode MatCreateComposite(MPI_Comm,PetscInt,const Mat*,Mat*);
236 typedef enum {MAT_COMPOSITE_ADDITIVE,MAT_COMPOSITE_MULTIPLICATIVE} MatCompositeType;
237 PETSC_EXTERN PetscErrorCode MatCompositeSetType(Mat,MatCompositeType);
238 
239 PETSC_EXTERN PetscErrorCode MatCreateFFT(MPI_Comm,PetscInt,const PetscInt[],MatType,Mat*);
240 PETSC_EXTERN PetscErrorCode MatCreateSeqCUFFT(MPI_Comm,PetscInt,const PetscInt[],Mat*);
241 
242 PETSC_EXTERN PetscErrorCode MatCreateTranspose(Mat,Mat*);
243 PETSC_EXTERN PetscErrorCode MatCreateSubMatrix(Mat,IS,IS,Mat*);
244 PETSC_EXTERN PetscErrorCode MatSubMatrixUpdate(Mat,Mat,IS,IS);
245 PETSC_EXTERN PetscErrorCode MatCreateLocalRef(Mat,IS,IS,Mat*);
246 
247 PETSC_EXTERN PetscErrorCode MatPythonSetType(Mat,const char[]);
248 
249 PETSC_EXTERN PetscErrorCode MatSetUp(Mat);
250 PETSC_EXTERN PetscErrorCode MatDestroy(Mat*);
251 
252 PETSC_EXTERN PetscErrorCode MatConjugate(Mat);
253 PETSC_EXTERN PetscErrorCode MatRealPart(Mat);
254 PETSC_EXTERN PetscErrorCode MatImaginaryPart(Mat);
255 PETSC_EXTERN PetscErrorCode MatGetDiagonalBlock(Mat,Mat*);
256 PETSC_EXTERN PetscErrorCode MatGetTrace(Mat,PetscScalar*);
257 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonal(Mat,const PetscScalar **);
258 
259 /* ------------------------------------------------------------*/
260 PETSC_EXTERN PetscErrorCode MatSetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
261 PETSC_EXTERN PetscErrorCode MatSetValuesBlocked(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
262 PETSC_EXTERN PetscErrorCode MatSetValuesRow(Mat,PetscInt,const PetscScalar[]);
263 PETSC_EXTERN PetscErrorCode MatSetValuesRowLocal(Mat,PetscInt,const PetscScalar[]);
264 PETSC_EXTERN PetscErrorCode MatSetValuesBatch(Mat,PetscInt,PetscInt,PetscInt[],const PetscScalar[]);
265 PETSC_EXTERN PetscErrorCode MatSetRandom(Mat,PetscRandom);
266 
267 /*S
268      MatStencil - Data structure (C struct) for storing information about a single row or
269         column of a matrix as indexed on an associated grid.
270 
271    Fortran usage is different, see MatSetValuesStencil() for details.
272 
273    Level: beginner
274 
275   Concepts: matrix; linear operator
276 
277 .seealso:  MatSetValuesStencil(), MatSetStencil(), MatSetValuesBlockedStencil()
278 S*/
279 typedef struct {
280   PetscInt k,j,i,c;
281 } MatStencil;
282 
283 PETSC_EXTERN PetscErrorCode MatSetValuesStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
284 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
285 PETSC_EXTERN PetscErrorCode MatSetStencil(Mat,PetscInt,const PetscInt[],const PetscInt[],PetscInt);
286 
287 PETSC_EXTERN PetscErrorCode MatSetColoring(Mat,ISColoring);
288 PETSC_EXTERN PetscErrorCode MatSetValuesAdifor(Mat,PetscInt,void*);
289 
290 /*E
291     MatAssemblyType - Indicates if the matrix is now to be used, or if you plan
292      to continue to add values to it
293 
294     Level: beginner
295 
296 .seealso: MatAssemblyBegin(), MatAssemblyEnd()
297 E*/
298 typedef enum {MAT_FLUSH_ASSEMBLY=1,MAT_FINAL_ASSEMBLY=0} MatAssemblyType;
299 PETSC_EXTERN PetscErrorCode MatAssemblyBegin(Mat,MatAssemblyType);
300 PETSC_EXTERN PetscErrorCode MatAssemblyEnd(Mat,MatAssemblyType);
301 PETSC_EXTERN PetscErrorCode MatAssembled(Mat,PetscBool *);
302 
303 
304 
305 /*E
306     MatOption - Options that may be set for a matrix and its behavior or storage
307 
308     Level: beginner
309 
310    Any additions/changes here MUST also be made in include/finclude/petscmat.h
311 
312    Developer Notes: Entries that are negative need not be called collectively by all processes.
313 
314 .seealso: MatSetOption()
315 E*/
316 typedef enum {MAT_OPTION_MIN = -8,
317               MAT_NEW_NONZERO_LOCATION_ERR = -7,
318               MAT_NO_OFF_PROC_ZERO_ROWS = -6,
319               MAT_NO_OFF_PROC_ENTRIES = -5,
320               MAT_UNUSED_NONZERO_LOCATION_ERR = -4,
321               MAT_NEW_NONZERO_ALLOCATION_ERR = -3,
322               MAT_ROW_ORIENTED = -2,
323               MAT_NEW_NONZERO_LOCATIONS = -1,
324               MAT_SYMMETRIC = 1,
325               MAT_STRUCTURALLY_SYMMETRIC = 2,
326               MAT_NEW_DIAGONALS = 3,
327               MAT_IGNORE_OFF_PROC_ENTRIES = 4,
328               MAT_USE_HASH_TABLE = 5,
329               MAT_KEEP_NONZERO_PATTERN = 6,
330               MAT_IGNORE_ZERO_ENTRIES = 7,
331               MAT_USE_INODES = 8,
332               MAT_HERMITIAN = 9,
333               MAT_SYMMETRY_ETERNAL = 10,
334               MAT_CHECK_COMPRESSED_ROW = 11,
335               MAT_IGNORE_LOWER_TRIANGULAR = 12,
336               MAT_ERROR_LOWER_TRIANGULAR = 13,
337               MAT_GETROW_UPPERTRIANGULAR = 14,
338               MAT_SPD = 15,
339               MAT_OPTION_MAX = 16} MatOption;
340 
341 PETSC_EXTERN const char *MatOptions[];
342 PETSC_EXTERN PetscErrorCode MatSetOption(Mat,MatOption,PetscBool );
343 PETSC_EXTERN PetscErrorCode MatGetType(Mat,MatType*);
344 
345 PETSC_EXTERN PetscErrorCode MatGetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar[]);
346 PETSC_EXTERN PetscErrorCode MatGetRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
347 PETSC_EXTERN PetscErrorCode MatRestoreRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
348 PETSC_EXTERN PetscErrorCode MatGetRowUpperTriangular(Mat);
349 PETSC_EXTERN PetscErrorCode MatRestoreRowUpperTriangular(Mat);
350 PETSC_EXTERN PetscErrorCode MatGetColumn(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
351 PETSC_EXTERN PetscErrorCode MatRestoreColumn(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
352 PETSC_EXTERN PetscErrorCode MatGetColumnVector(Mat,Vec,PetscInt);
353 PETSC_EXTERN PetscErrorCode MatSeqAIJGetArray(Mat,PetscScalar *[]);
354 PETSC_EXTERN PetscErrorCode MatSeqAIJRestoreArray(Mat,PetscScalar *[]);
355 PETSC_EXTERN PetscErrorCode MatDenseGetArray(Mat,PetscScalar *[]);
356 PETSC_EXTERN PetscErrorCode MatDenseRestoreArray(Mat,PetscScalar *[]);
357 PETSC_EXTERN PetscErrorCode MatGetBlockSize(Mat,PetscInt *);
358 PETSC_EXTERN PetscErrorCode MatSetBlockSize(Mat,PetscInt);
359 PETSC_EXTERN PetscErrorCode MatGetBlockSizes(Mat,PetscInt *,PetscInt *);
360 PETSC_EXTERN PetscErrorCode MatSetBlockSizes(Mat,PetscInt,PetscInt);
361 PETSC_EXTERN PetscErrorCode MatSetNThreads(Mat,PetscInt);
362 PETSC_EXTERN PetscErrorCode MatGetNThreads(Mat,PetscInt*);
363 
364 PETSC_EXTERN PetscErrorCode MatMult(Mat,Vec,Vec);
365 PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat,Vec,Vec);
366 PETSC_EXTERN PetscErrorCode MatMultAdd(Mat,Vec,Vec,Vec);
367 PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat,Vec,Vec);
368 PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat,Vec,Vec);
369 PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat,Mat,PetscReal,PetscBool *);
370 PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat,Mat,PetscReal,PetscBool *);
371 PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat,Vec,Vec,Vec);
372 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat,Vec,Vec,Vec);
373 PETSC_EXTERN PetscErrorCode MatMultConstrained(Mat,Vec,Vec);
374 PETSC_EXTERN PetscErrorCode MatMultTransposeConstrained(Mat,Vec,Vec);
375 PETSC_EXTERN PetscErrorCode MatMatSolve(Mat,Mat,Mat);
376 
377 /*E
378     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
379   its numerical values copied over or just its nonzero structure.
380 
381     Level: beginner
382 
383    Any additions/changes here MUST also be made in include/finclude/petscmat.h
384 
385 $   MAT_SHARE_NONZERO_PATTERN - the i and j arrays in the new matrix will be shared with the original matrix
386 $                               this also triggers the MAT_DO_NOT_COPY_VALUES option. This is used when you
387 $                               have several matrices with the same nonzero pattern.
388 
389 .seealso: MatDuplicate()
390 E*/
391 typedef enum {MAT_DO_NOT_COPY_VALUES,MAT_COPY_VALUES,MAT_SHARE_NONZERO_PATTERN} MatDuplicateOption;
392 
393 PETSC_EXTERN PetscErrorCode MatConvert(Mat,MatType,MatReuse,Mat*);
394 PETSC_EXTERN PetscErrorCode MatDuplicate(Mat,MatDuplicateOption,Mat*);
395 
396 
397 PETSC_EXTERN PetscErrorCode MatCopy(Mat,Mat,MatStructure);
398 PETSC_EXTERN PetscErrorCode MatView(Mat,PetscViewer);
399 PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat,PetscReal,PetscBool *);
400 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat,PetscBool *);
401 PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat,PetscReal,PetscBool *);
402 PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat,PetscBool *,PetscBool *);
403 PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat,PetscBool *,PetscBool *);
404 PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat,PetscBool  *,PetscInt *);
405 PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);
406 
407 PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
408 PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
409 PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
410 PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
411 
412 /*S
413      MatInfo - Context of matrix information, used with MatGetInfo()
414 
415    In Fortran this is simply a double precision array of dimension MAT_INFO_SIZE
416 
417    Level: intermediate
418 
419   Concepts: matrix^nonzero information
420 
421 .seealso:  MatGetInfo(), MatInfoType
422 S*/
423 typedef struct {
424   PetscLogDouble block_size;                         /* block size */
425   PetscLogDouble nz_allocated,nz_used,nz_unneeded;   /* number of nonzeros */
426   PetscLogDouble memory;                             /* memory allocated */
427   PetscLogDouble assemblies;                         /* number of matrix assemblies called */
428   PetscLogDouble mallocs;                            /* number of mallocs during MatSetValues() */
429   PetscLogDouble fill_ratio_given,fill_ratio_needed; /* fill ratio for LU/ILU */
430   PetscLogDouble factor_mallocs;                     /* number of mallocs during factorization */
431 } MatInfo;
432 
433 /*E
434     MatInfoType - Indicates if you want information about the local part of the matrix,
435      the entire parallel matrix or the maximum over all the local parts.
436 
437     Level: beginner
438 
439    Any additions/changes here MUST also be made in include/finclude/petscmat.h
440 
441 .seealso: MatGetInfo(), MatInfo
442 E*/
443 typedef enum {MAT_LOCAL=1,MAT_GLOBAL_MAX=2,MAT_GLOBAL_SUM=3} MatInfoType;
444 PETSC_EXTERN PetscErrorCode MatGetInfo(Mat,MatInfoType,MatInfo*);
445 PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat,Vec);
446 PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat,Vec,PetscInt[]);
447 PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat,Vec,PetscInt[]);
448 PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat,Vec,PetscInt[]);
449 PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat,Vec,PetscInt[]);
450 PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat,Vec);
451 PETSC_EXTERN PetscErrorCode MatTranspose(Mat,MatReuse,Mat*);
452 PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat,MatReuse,Mat*);
453 PETSC_EXTERN PetscErrorCode MatPermute(Mat,IS,IS,Mat *);
454 PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat,Vec,Vec);
455 PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat,Vec,InsertMode);
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 
462 PETSC_EXTERN PetscErrorCode MatNorm(Mat,NormType,PetscReal *);
463 PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat,NormType,PetscReal *);
464 PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
465 PETSC_EXTERN PetscErrorCode MatZeroRows(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
466 PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat,IS,PetscScalar,Vec,Vec);
467 PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat,PetscInt,const MatStencil [],PetscScalar,Vec,Vec);
468 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat,PetscInt,const MatStencil[],PetscScalar,Vec,Vec);
469 PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
470 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat,IS,PetscScalar,Vec,Vec);
471 
472 PETSC_EXTERN PetscErrorCode MatGetSize(Mat,PetscInt*,PetscInt*);
473 PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat,PetscInt*,PetscInt*);
474 PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat,PetscInt*,PetscInt*);
475 PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat,const PetscInt**);
476 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat,PetscInt*,PetscInt*);
477 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat,const PetscInt**);
478 PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat,IS*,IS*);
479 
480 PETSC_EXTERN PetscErrorCode MatGetSubMatrices(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
481 PETSC_EXTERN PetscErrorCode MatGetSubMatricesParallel(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
482 PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt,Mat *[]);
483 PETSC_EXTERN PetscErrorCode MatGetSubMatrix(Mat,IS,IS,MatReuse,Mat *);
484 PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat,IS,IS,Mat*);
485 PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat,IS,IS,Mat*);
486 PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat,Mat*);
487 PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat*);
488 
489 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJConcatenateSeqAIJ(MPI_Comm,Mat,PetscInt,MatReuse,Mat*);
490 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJConcatenateSeqAIJSymbolic(MPI_Comm,Mat,PetscInt,Mat*);
491 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJConcatenateSeqAIJNumeric(MPI_Comm,Mat,PetscInt,Mat);
492 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm,Mat,PetscInt,PetscInt,MatReuse,Mat*);
493 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm,Mat,PetscInt,PetscInt,Mat*);
494 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat,Mat);
495 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat,MatReuse,Mat*);
496 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat,MatReuse,IS*,IS*,Mat*);
497 PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat,Mat,MatReuse,IS*,IS*,Mat*);
498 PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *,const PetscInt *[]);
499 
500 PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat,PetscInt,IS[],PetscInt);
501 
502 PETSC_EXTERN PetscErrorCode MatMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
503 PETSC_EXTERN PetscErrorCode MatMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
504 PETSC_EXTERN PetscErrorCode MatMatMultNumeric(Mat,Mat,Mat);
505 
506 PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
507 PETSC_EXTERN PetscErrorCode MatMatMatMultSymbolic(Mat,Mat,Mat,PetscReal,Mat*);
508 PETSC_EXTERN PetscErrorCode MatMatMatMultNumeric(Mat,Mat,Mat,Mat);
509 
510 PETSC_EXTERN PetscErrorCode MatPtAP(Mat,Mat,MatReuse,PetscReal,Mat*);
511 PETSC_EXTERN PetscErrorCode MatPtAPSymbolic(Mat,Mat,PetscReal,Mat*);
512 PETSC_EXTERN PetscErrorCode MatPtAPNumeric(Mat,Mat,Mat);
513 PETSC_EXTERN PetscErrorCode MatRARt(Mat,Mat,MatReuse,PetscReal,Mat*);
514 PETSC_EXTERN PetscErrorCode MatRARtSymbolic(Mat,Mat,PetscReal,Mat*);
515 PETSC_EXTERN PetscErrorCode MatRARtNumeric(Mat,Mat,Mat);
516 
517 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
518 PETSC_EXTERN PetscErrorCode MatTransposetMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
519 PETSC_EXTERN PetscErrorCode MatTransposetMatMultNumeric(Mat,Mat,Mat);
520 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat,Mat,MatReuse,PetscReal,Mat*);
521 PETSC_EXTERN PetscErrorCode MatMatTransposeMultSymbolic(Mat,Mat,PetscReal,Mat*);
522 PETSC_EXTERN PetscErrorCode MatMatTransposeMultNumeric(Mat,Mat,Mat);
523 
524 PETSC_EXTERN PetscErrorCode MatAXPY(Mat,PetscScalar,Mat,MatStructure);
525 PETSC_EXTERN PetscErrorCode MatAYPX(Mat,PetscScalar,Mat,MatStructure);
526 
527 PETSC_EXTERN PetscErrorCode MatScale(Mat,PetscScalar);
528 PETSC_EXTERN PetscErrorCode MatShift(Mat,PetscScalar);
529 
530 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
531 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMappingBlock(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
532 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
533 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMappingBlock(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
534 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
535 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
536 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
537 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
538 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
539 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
540 
541 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat,PetscInt,PetscInt);
542 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat,PetscInt*,PetscInt*,PetscInt*,PetscInt*);
543 
544 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat,Vec,Vec);
545 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat,Vec,Vec,Vec);
546 PETSC_EXTERN PetscErrorCode MatRestrict(Mat,Vec,Vec);
547 PETSC_EXTERN PetscErrorCode MatGetVecs(Mat,Vec*,Vec*);
548 PETSC_EXTERN PetscErrorCode MatGetRedundantMatrix(Mat,PetscInt,MPI_Comm,PetscInt,MatReuse,Mat*);
549 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat,MPI_Comm,MatReuse,Mat*);
550 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat,IS*);
551 
552 /*MC
553    MatSetValue - Set a single entry into a matrix.
554 
555    Not collective
556 
557    Input Parameters:
558 +  m - the matrix
559 .  row - the row location of the entry
560 .  col - the column location of the entry
561 .  value - the value to insert
562 -  mode - either INSERT_VALUES or ADD_VALUES
563 
564    Notes:
565    For efficiency one should use MatSetValues() and set several or many
566    values simultaneously if possible.
567 
568    Level: beginner
569 
570 .seealso: MatSetValues(), MatSetValueLocal()
571 M*/
572 PETSC_STATIC_INLINE PetscErrorCode MatSetValue(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValues(v,1,&i,1,&j,&va,mode);}
573 
574 PETSC_STATIC_INLINE PetscErrorCode MatGetValue(Mat v,PetscInt i,PetscInt j,PetscScalar *va) {return MatGetValues(v,1,&i,1,&j,va);}
575 
576 PETSC_STATIC_INLINE PetscErrorCode MatSetValueLocal(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValuesLocal(v,1,&i,1,&j,&va,mode);}
577 
578 /*MC
579    MatPreallocateInitialize - Begins the block of code that will count the number of nonzeros per
580        row in a matrix providing the data that one can use to correctly preallocate the matrix.
581 
582    Synopsis:
583    #include "petscmat.h"
584    PetscErrorCode MatPreallocateInitialize(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
585 
586    Collective on MPI_Comm
587 
588    Input Parameters:
589 +  comm - the communicator that will share the eventually allocated matrix
590 .  nrows - the number of LOCAL rows in the matrix
591 -  ncols - the number of LOCAL columns in the matrix
592 
593    Output Parameters:
594 +  dnz - the array that will be passed to the matrix preallocation routines
595 -  ozn - the other array passed to the matrix preallocation routines
596 
597 
598    Level: intermediate
599 
600    Notes:
601     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
602 
603    Do not malloc or free dnz and onz, that is handled internally by these routines
604 
605    Use MatPreallocateInitializeSymmetric() for symmetric matrices (MPISBAIJ matrices)
606 
607    This is a MACRO not a function because it has a leading { that is closed by PetscPreallocateFinalize().
608 
609   Concepts: preallocation^Matrix
610 
611 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateSetLocal(),
612           MatPreallocateInitializeSymmetric(), MatPreallocateSymmetricSetLocal()
613 M*/
614 #define MatPreallocateInitialize(comm,nrows,ncols,dnz,onz) 0; \
615 { \
616   PetscErrorCode _4_ierr; PetscInt __nrows = (nrows),__ctmp = (ncols),__rstart,__start,__end; \
617   _4_ierr = PetscMalloc2(__nrows,PetscInt,&dnz,__nrows,PetscInt,&onz);CHKERRQ(_4_ierr); \
618   _4_ierr = PetscMemzero(dnz,__nrows*sizeof(PetscInt));CHKERRQ(_4_ierr);\
619   _4_ierr = PetscMemzero(onz,__nrows*sizeof(PetscInt));CHKERRQ(_4_ierr); __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 
644    Level: intermediate
645 
646    Notes:
647     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
648 
649    Do not malloc or free dnz and onz, that is handled internally by these routines
650 
651   Concepts: preallocation^Matrix
652 
653 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
654           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal()
655 M*/
656 #define MatPreallocateSetLocal(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
657 {\
658   PetscInt __l;\
659   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
660   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
661   for (__l=0;__l<nrows;__l++) {\
662     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
663   }\
664 }
665 
666 /*MC
667    MatPreallocateSymmetricSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
668        inserted using a local number of the rows and columns
669 
670    Synopsis:
671    #include "petscmat.h"
672    PetscErrorCode MatPreallocateSymmetricSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
673 
674    Not Collective
675 
676    Input Parameters:
677 +  map - the mapping between local numbering and global numbering
678 .  nrows - the number of rows indicated
679 .  rows - the indices of the rows
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 
686    Level: intermediate
687 
688    Notes:
689     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
690 
691    Do not malloc or free dnz and onz that is handled internally by these routines
692 
693   Concepts: preallocation^Matrix
694 
695 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
696           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal(), MatPreallocateSetLocal()
697 M*/
698 #define MatPreallocateSymmetricSetLocal(map,nrows,rows,ncols,cols,dnz,onz) 0;\
699 {\
700   PetscInt __l;\
701   _4_ierr = ISLocalToGlobalMappingApply(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
702   _4_ierr = ISLocalToGlobalMappingApply(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
703   for (__l=0;__l<nrows;__l++) {\
704     _4_ierr = MatPreallocateSymmetricSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
705   }\
706 }
707 
708 /*MC
709    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
710        inserted using a local number of the rows and columns
711 
712    Synopsis:
713    #include "petscmat.h"
714    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
715 
716    Not Collective
717 
718    Input Parameters:
719 +  row - the row
720 .  ncols - the number of columns in the matrix
721 -  cols - the columns indicated
722 
723    Output Parameters:
724 +  dnz - the array that will be passed to the matrix preallocation routines
725 -  ozn - the other array passed to the matrix preallocation routines
726 
727 
728    Level: intermediate
729 
730    Notes:
731     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
732 
733    Do not malloc or free dnz and onz that is handled internally by these routines
734 
735    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
736 
737   Concepts: preallocation^Matrix
738 
739 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
740           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal(), MatPreallocateSetLocal()
741 M*/
742 #define MatPreallocateSet(row,nc,cols,dnz,onz) 0;\
743 { PetscInt __i; \
744   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);\
745   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);\
746   for (__i=0; __i<nc; __i++) {\
747     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
748     else dnz[row - __rstart]++;\
749   }\
750 }
751 
752 /*MC
753    MatPreallocateSymmetricSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
754        inserted using a local number of the rows and columns
755 
756    Synopsis:
757    #include "petscmat.h"
758    PetscErrorCode MatPreallocateSymmetricSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
759 
760    Not Collective
761 
762    Input Parameters:
763 +  nrows - the number of rows indicated
764 .  rows - the indices of the rows
765 .  ncols - the number of columns in the matrix
766 .  cols - the columns indicated
767 .  dnz - the array that will be passed to the matrix preallocation routines
768 -  ozn - the other array passed to the matrix preallocation routines
769 
770 
771    Level: intermediate
772 
773    Notes:
774     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
775 
776    Do not malloc or free dnz and onz that is handled internally by these routines
777 
778    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
779 
780   Concepts: preallocation^Matrix
781 
782 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
783           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal(), MatPreallocateSetLocal()
784 M*/
785 #define MatPreallocateSymmetricSet(row,nc,cols,dnz,onz) 0;\
786 { PetscInt __i; \
787   for (__i=0; __i<nc; __i++) {\
788     if (cols[__i] >= __end) onz[row - __rstart]++; \
789     else if (cols[__i] >= row) dnz[row - __rstart]++;\
790   }\
791 }
792 
793 /*MC
794    MatPreallocateLocation -  An alternative to MatPreallocationSet() that puts the nonzero locations into the matrix if it exists
795 
796    Synopsis:
797    #include "petscmat.h"
798    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
799 
800    Not Collective
801 
802    Input Parameters:
803 .  A - matrix
804 .  row - row where values exist (must be local to this process)
805 .  ncols - number of columns
806 .  cols - columns with nonzeros
807 .  dnz - the array that will be passed to the matrix preallocation routines
808 -  ozn - the other array passed to the matrix preallocation routines
809 
810 
811    Level: intermediate
812 
813    Notes:
814     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual 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 a bunch of variables private to the MatPreallocation.... routines.
819 
820   Concepts: preallocation^Matrix
821 
822 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateSetLocal(),
823           MatPreallocateSymmetricSetLocal()
824 M*/
825 #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);}
826 
827 
828 /*MC
829    MatPreallocateFinalize - Ends the block of code that will count the number of nonzeros per
830        row in a matrix providing the data that one can use to correctly preallocate the matrix.
831 
832    Synopsis:
833    #include "petscmat.h"
834    PetscErrorCode MatPreallocateFinalize(PetscInt *dnz, PetscInt *onz)
835 
836    Collective on MPI_Comm
837 
838    Input Parameters:
839 +  dnz - the array that was be passed to the matrix preallocation routines
840 -  ozn - the other array passed to the matrix preallocation routines
841 
842 
843    Level: intermediate
844 
845    Notes:
846     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
847 
848    Do not malloc or free dnz and onz that is handled internally by these routines
849 
850    This is a MACRO not a function because it closes the { started in MatPreallocateInitialize().
851 
852   Concepts: preallocation^Matrix
853 
854 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateSetLocal(),
855           MatPreallocateSymmetricSetLocal()
856 M*/
857 #define MatPreallocateFinalize(dnz,onz) 0;_4_ierr = PetscFree2(dnz,onz);CHKERRQ(_4_ierr);}
858 
859 
860 
861 /* Routines unique to particular data structures */
862 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat,void *);
863 
864 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat,IS*,IS*);
865 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat,PetscInt *,PetscInt *[],PetscInt *);
866 
867 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat,PetscInt[]);
868 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat,PetscInt[]);
869 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
870 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
871 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
872 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*,PetscInt,PetscBool);
873 
874 #define MAT_SKIP_ALLOCATION -4
875 
876 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
877 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
878 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat,PetscInt,const PetscInt[]);
879 
880 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
881 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
882 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
883 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat,const PetscInt [],const PetscInt [],const PetscScalar []);
884 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
885 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]);
886 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
887 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat,PetscInt[],PetscInt[],PetscInt[]);
888 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
889 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
890 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
891 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
892 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat,Mat*);
893 
894 PETSC_EXTERN PetscErrorCode MatSeqDenseSetLDA(Mat,PetscInt);
895 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat,Mat*);
896 
897 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
898 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
899 
900 PETSC_EXTERN PetscErrorCode MatDAADSetCtx(Mat,void*);
901 
902 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat,IS*);
903 /*
904   These routines are not usually accessed directly, rather solving is
905   done through the KSP and PC interfaces.
906 */
907 
908 /*J
909     MatOrderingType - String with the name of a PETSc matrix ordering or the creation function
910        with an optional dynamic library name, for example
911        http://www.mcs.anl.gov/petsc/lib.a:orderingcreate()
912 
913    Level: beginner
914 
915    Cannot use const because the PC objects manipulate the string
916 
917 .seealso: MatGetOrdering()
918 J*/
919 typedef const char* MatOrderingType;
920 #define MATORDERINGNATURAL     "natural"
921 #define MATORDERINGND          "nd"
922 #define MATORDERING1WD         "1wd"
923 #define MATORDERINGRCM         "rcm"
924 #define MATORDERINGQMD         "qmd"
925 #define MATORDERINGROWLENGTH   "rowlength"
926 #define MATORDERINGAMD         "amd"            /* only works if UMFPACK is installed with PETSc */
927 
928 PETSC_EXTERN PetscErrorCode MatGetOrdering(Mat,MatOrderingType,IS*,IS*);
929 PETSC_EXTERN PetscErrorCode MatGetOrderingList(PetscFunctionList*);
930 PETSC_EXTERN PetscErrorCode MatOrderingRegister(const char[],PetscErrorCode(*)(Mat,MatOrderingType,IS*,IS*));
931 PETSC_EXTERN PetscErrorCode MatOrderingRegisterAll(void);
932 PETSC_EXTERN PetscBool         MatOrderingRegisterAllCalled;
933 PETSC_EXTERN PetscFunctionList MatOrderingList;
934 
935 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
936 
937 /*S
938     MatFactorShiftType - Numeric Shift.
939 
940    Level: beginner
941 
942 S*/
943 typedef enum {MAT_SHIFT_NONE,MAT_SHIFT_NONZERO,MAT_SHIFT_POSITIVE_DEFINITE,MAT_SHIFT_INBLOCKS} MatFactorShiftType;
944 PETSC_EXTERN const char *const MatFactorShiftTypes[];
945 PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];
946 
947 /*S
948    MatFactorInfo - Data passed into the matrix factorization routines
949 
950    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE, that is use
951 $     MatFactorInfo  info(MAT_FACTORINFO_SIZE)
952 
953    Notes: These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
954 
955       You can use MatFactorInfoInitialize() to set default values.
956 
957    Level: developer
958 
959 .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor(),
960           MatFactorInfoInitialize()
961 
962 S*/
963 typedef struct {
964   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
965   PetscReal     usedt;
966   PetscReal     dt;             /* drop tolerance */
967   PetscReal     dtcol;          /* tolerance for pivoting */
968   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
969   PetscReal     fill;           /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
970   PetscReal     levels;         /* ICC/ILU(levels) */
971   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
972                                    factorization may be faster if do not pivot */
973   PetscReal     zeropivot;      /* pivot is called zero if less than this */
974   PetscReal     shifttype;      /* type of shift added to matrix factor to prevent zero pivots */
975   PetscReal     shiftamount;     /* how large the shift is */
976 } MatFactorInfo;
977 
978 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo*);
979 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat,IS,const MatFactorInfo*);
980 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
981 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat,Mat,const MatFactorInfo*);
982 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat,IS,IS,const MatFactorInfo*);
983 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat,IS,IS,const MatFactorInfo*);
984 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
985 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
986 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
987 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat,IS,const MatFactorInfo*);
988 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat,Mat,const MatFactorInfo*);
989 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat,PetscInt*,PetscInt*,PetscInt*);
990 PETSC_EXTERN PetscErrorCode MatSolve(Mat,Vec,Vec);
991 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat,Vec,Vec);
992 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat,Vec,Vec);
993 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat,Vec,Vec,Vec);
994 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat,Vec,Vec);
995 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
996 PETSC_EXTERN PetscErrorCode MatSolves(Mat,Vecs,Vecs);
997 
998 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
999 
1000 /*E
1001     MatSORType - What type of (S)SOR to perform
1002 
1003     Level: beginner
1004 
1005    May be bitwise ORd together
1006 
1007    Any additions/changes here MUST also be made in include/finclude/petscmat.h
1008 
1009    MatSORType may be bitwise ORd together, so do not change the numbers
1010 
1011 .seealso: MatSOR()
1012 E*/
1013 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
1014               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
1015               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
1016               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
1017 PETSC_EXTERN PetscErrorCode MatSOR(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
1018 
1019 /*
1020     These routines are for efficiently computing Jacobians via finite differences.
1021 */
1022 
1023 /*J
1024     MatColoringType - String with the name of a PETSc matrix coloring or the creation function
1025        with an optional dynamic library name, for example
1026        http://www.mcs.anl.gov/petsc/lib.a:coloringcreate()
1027 
1028    Level: beginner
1029 
1030 .seealso: MatGetColoring()
1031 J*/
1032 typedef const char* MatColoringType;
1033 #define MATCOLORINGNATURAL "natural"
1034 #define MATCOLORINGSL      "sl"
1035 #define MATCOLORINGLF      "lf"
1036 #define MATCOLORINGID      "id"
1037 
1038 PETSC_EXTERN PetscErrorCode MatGetColoring(Mat,MatColoringType,ISColoring*);
1039 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[],PetscErrorCode(*)(Mat,MatColoringType,ISColoring *));
1040 
1041 PETSC_EXTERN PetscBool MatColoringRegisterAllCalled;
1042 
1043 PETSC_EXTERN PetscErrorCode MatColoringRegisterAll(void);
1044 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat,PetscInt,PetscInt,ISColoringValue[],ISColoring*);
1045 
1046 /*S
1047      MatFDColoring - Object for computing a sparse Jacobian via finite differences
1048         and coloring
1049 
1050    Level: beginner
1051 
1052   Concepts: coloring, sparse Jacobian, finite differences
1053 
1054 .seealso:  MatFDColoringCreate()
1055 S*/
1056 typedef struct _p_MatFDColoring* MatFDColoring;
1057 
1058 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
1059 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring*);
1060 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring,PetscViewer);
1061 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring,PetscErrorCode (*)(void),void*);
1062 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring,PetscErrorCode (**)(void),void**);
1063 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
1064 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1065 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat,MatFDColoring,Vec,MatStructure*,void *);
1066 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring,Vec);
1067 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring,PetscInt*,PetscInt*[]);
1068 
1069 /*S
1070      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring
1071 
1072    Level: beginner
1073 
1074   Concepts: coloring, sparse matrix product
1075 
1076 .seealso:  MatTransposeColoringCreate()
1077 S*/
1078 typedef struct _p_MatTransposeColoring* MatTransposeColoring;
1079 
1080 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat,ISColoring,MatTransposeColoring *);
1081 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring,Mat,Mat);
1082 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring,Mat,Mat);
1083 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring*);
1084 
1085 /*
1086     These routines are for partitioning matrices: currently used only
1087   for adjacency matrix, MatCreateMPIAdj().
1088 */
1089 
1090 /*S
1091      MatPartitioning - Object for managing the partitioning of a matrix or graph
1092 
1093    Level: beginner
1094 
1095   Concepts: partitioning
1096 
1097 .seealso:  MatPartitioningCreate(), MatPartitioningType
1098 S*/
1099 typedef struct _p_MatPartitioning* MatPartitioning;
1100 
1101 /*J
1102     MatPartitioningType - String with the name of a PETSc matrix partitioning or the creation function
1103        with an optional dynamic library name, for example
1104        http://www.mcs.anl.gov/petsc/lib.a:partitioningcreate()
1105 
1106    Level: beginner
1107 dm
1108 .seealso: MatPartitioningCreate(), MatPartitioning
1109 J*/
1110 typedef const char* MatPartitioningType;
1111 #define MATPARTITIONINGCURRENT  "current"
1112 #define MATPARTITIONINGSQUARE   "square"
1113 #define MATPARTITIONINGPARMETIS "parmetis"
1114 #define MATPARTITIONINGCHACO    "chaco"
1115 #define MATPARTITIONINGPARTY    "party"
1116 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1117 
1118 
1119 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1120 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning,MatPartitioningType);
1121 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning,PetscInt);
1122 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning,Mat);
1123 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning,const PetscInt[]);
1124 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1125 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning,IS*);
1126 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning*);
1127 
1128 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[],PetscErrorCode (*)(MatPartitioning));
1129 
1130 PETSC_EXTERN PetscBool MatPartitioningRegisterAllCalled;
1131 
1132 PETSC_EXTERN PetscErrorCode MatPartitioningRegisterAll(void);
1133 
1134 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning,PetscViewer);
1135 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1136 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
1137 
1138 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1139 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1140 
1141 typedef enum { MP_CHACO_MULTILEVEL=1,MP_CHACO_SPECTRAL=2,MP_CHACO_LINEAR=4,MP_CHACO_RANDOM=5,MP_CHACO_SCATTERED=6 } MPChacoGlobalType;
1142 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1143 typedef enum { MP_CHACO_KERNIGHAN=1,MP_CHACO_NONE=2 } MPChacoLocalType;
1144 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1145 typedef enum { MP_CHACO_LANCZOS=0,MP_CHACO_RQI=1 } MPChacoEigenType;
1146 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1147 
1148 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning,MPChacoGlobalType);
1149 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning,MPChacoGlobalType*);
1150 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning,MPChacoLocalType);
1151 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning,MPChacoLocalType*);
1152 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning,PetscReal);
1153 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning,MPChacoEigenType);
1154 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning,MPChacoEigenType*);
1155 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning,PetscReal);
1156 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning,PetscReal*);
1157 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning,PetscInt);
1158 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning,PetscInt*);
1159 
1160 #define MP_PARTY_OPT "opt"
1161 #define MP_PARTY_LIN "lin"
1162 #define MP_PARTY_SCA "sca"
1163 #define MP_PARTY_RAN "ran"
1164 #define MP_PARTY_GBF "gbf"
1165 #define MP_PARTY_GCF "gcf"
1166 #define MP_PARTY_BUB "bub"
1167 #define MP_PARTY_DEF "def"
1168 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning,const char*);
1169 #define MP_PARTY_HELPFUL_SETS "hs"
1170 #define MP_PARTY_KERNIGHAN_LIN "kl"
1171 #define MP_PARTY_NONE "no"
1172 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning,const char*);
1173 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning,PetscReal);
1174 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning,PetscBool);
1175 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning,PetscBool);
1176 
1177 typedef enum { MP_PTSCOTCH_QUALITY,MP_PTSCOTCH_SPEED,MP_PTSCOTCH_BALANCE,MP_PTSCOTCH_SAFETY,MP_PTSCOTCH_SCALABILITY } MPPTScotchStrategyType;
1178 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1179 
1180 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning,PetscReal);
1181 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning,PetscReal*);
1182 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning,MPPTScotchStrategyType);
1183 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning,MPPTScotchStrategyType*);
1184 
1185 /*
1186     These routines are for coarsening matrices:
1187 */
1188 
1189 /*S
1190      MatCoarsen - Object for managing the coarsening of a graph (symmetric matrix)
1191 
1192    Level: beginner
1193 
1194   Concepts: coarsen
1195 
1196 .seealso:  MatCoarsenCreate), MatCoarsenType
1197 S*/
1198 typedef struct _p_MatCoarsen* MatCoarsen;
1199 
1200 /*J
1201     MatCoarsenType - String with the name of a PETSc matrix coarsen or the creation function
1202        with an optional dynamic library name, for example
1203        http://www.mcs.anl.gov/petsc/lib.a:coarsencreate()
1204 
1205    Level: beginner
1206 dm
1207 .seealso: MatCoarsenCreate(), MatCoarsen
1208 J*/
1209 typedef const char* MatCoarsenType;
1210 #define MATCOARSENMIS  "mis"
1211 #define MATCOARSENHEM  "hem"
1212 
1213 /* linked list for aggregates */
1214 typedef struct _PetscCDIntNd{
1215   struct _PetscCDIntNd *next;
1216   PetscInt             gid;
1217 }PetscCDIntNd;
1218 
1219 /* only used by node pool */
1220 typedef struct _PetscCDArrNd{
1221   struct _PetscCDArrNd *next;
1222   struct _PetscCDIntNd *array;
1223 }PetscCDArrNd;
1224 
1225 typedef struct _PetscCoarsenData{
1226   PetscCDArrNd pool_list;  /* node pool */
1227   PetscCDIntNd *new_node;
1228   PetscInt     new_left;
1229   PetscInt     chk_sz;
1230   PetscCDIntNd *extra_nodes;
1231   PetscCDIntNd **array;  /* Array of lists */
1232   PetscInt     size;
1233   Mat          mat;  /* cache a Mat for communication data */
1234 }PetscCoarsenData;
1235 
1236 PETSC_EXTERN PetscErrorCode MatCoarsenCreate(MPI_Comm,MatCoarsen*);
1237 PETSC_EXTERN PetscErrorCode MatCoarsenSetType(MatCoarsen,MatCoarsenType);
1238 PETSC_EXTERN PetscErrorCode MatCoarsenSetAdjacency(MatCoarsen,Mat);
1239 PETSC_EXTERN PetscErrorCode MatCoarsenSetGreedyOrdering(MatCoarsen,const IS);
1240 PETSC_EXTERN PetscErrorCode MatCoarsenSetStrictAggs(MatCoarsen,PetscBool);
1241 PETSC_EXTERN PetscErrorCode MatCoarsenSetVerbose(MatCoarsen,PetscInt);
1242 PETSC_EXTERN PetscErrorCode MatCoarsenGetData( MatCoarsen, PetscCoarsenData ** );
1243 PETSC_EXTERN PetscErrorCode MatCoarsenApply(MatCoarsen);
1244 PETSC_EXTERN PetscErrorCode MatCoarsenDestroy(MatCoarsen*);
1245 
1246 PETSC_EXTERN PetscErrorCode MatCoarsenRegister(const char[],PetscErrorCode (*)(MatCoarsen));
1247 
1248 PETSC_EXTERN PetscBool MatCoarsenRegisterAllCalled;
1249 
1250 PETSC_EXTERN PetscErrorCode MatCoarsenRegisterAll(void);
1251 
1252 PETSC_EXTERN PetscErrorCode MatCoarsenView(MatCoarsen,PetscViewer);
1253 PETSC_EXTERN PetscErrorCode MatCoarsenSetFromOptions(MatCoarsen);
1254 PETSC_EXTERN PetscErrorCode MatCoarsenGetType(MatCoarsen,MatCoarsenType*);
1255 
1256 PETSC_EXTERN PetscErrorCode MatMeshToVertexGraph(Mat,PetscInt,Mat*);
1257 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat,PetscInt,Mat*);
1258 
1259 /*
1260     If you add entries here you must also add them to finclude/petscmat.h
1261 */
1262 typedef enum { MATOP_SET_VALUES=0,
1263                MATOP_GET_ROW=1,
1264                MATOP_RESTORE_ROW=2,
1265                MATOP_MULT=3,
1266                MATOP_MULT_ADD=4,
1267                MATOP_MULT_TRANSPOSE=5,
1268                MATOP_MULT_TRANSPOSE_ADD=6,
1269                MATOP_SOLVE=7,
1270                MATOP_SOLVE_ADD=8,
1271                MATOP_SOLVE_TRANSPOSE=9,
1272                MATOP_SOLVE_TRANSPOSE_ADD=10,
1273                MATOP_LUFACTOR=11,
1274                MATOP_CHOLESKYFACTOR=12,
1275                MATOP_SOR=13,
1276                MATOP_TRANSPOSE=14,
1277                MATOP_GETINFO=15,
1278                MATOP_EQUAL=16,
1279                MATOP_GET_DIAGONAL=17,
1280                MATOP_DIAGONAL_SCALE=18,
1281                MATOP_NORM=19,
1282                MATOP_ASSEMBLY_BEGIN=20,
1283                MATOP_ASSEMBLY_END=21,
1284                MATOP_SET_OPTION=22,
1285                MATOP_ZERO_ENTRIES=23,
1286                MATOP_ZERO_ROWS=24,
1287                MATOP_LUFACTOR_SYMBOLIC=25,
1288                MATOP_LUFACTOR_NUMERIC=26,
1289                MATOP_CHOLESKY_FACTOR_SYMBOLIC=27,
1290                MATOP_CHOLESKY_FACTOR_NUMERIC=28,
1291                MATOP_SETUP_PREALLOCATION=29,
1292                MATOP_ILUFACTOR_SYMBOLIC=30,
1293                MATOP_ICCFACTOR_SYMBOLIC=31,
1294                MATOP_GET_ARRAY=32,
1295                MATOP_RESTORE_ARRAY=33,
1296                MATOP_DUPLICATE=34,
1297                MATOP_FORWARD_SOLVE=35,
1298                MATOP_BACKWARD_SOLVE=36,
1299                MATOP_ILUFACTOR=37,
1300                MATOP_ICCFACTOR=38,
1301                MATOP_AXPY=39,
1302                MATOP_GET_SUBMATRICES=40,
1303                MATOP_INCREASE_OVERLAP=41,
1304                MATOP_GET_VALUES=42,
1305                MATOP_COPY=43,
1306                MATOP_GET_ROW_MAX=44,
1307                MATOP_SCALE=45,
1308                MATOP_SHIFT=46,
1309                MATOP_DIAGONAL_SET=47,
1310                MATOP_ILUDT_FACTOR=48,
1311                MATOP_SET_BLOCK_SIZE=49,
1312                MATOP_GET_ROW_IJ=50,
1313                MATOP_RESTORE_ROW_IJ=51,
1314                MATOP_GET_COLUMN_IJ=52,
1315                MATOP_RESTORE_COLUMN_IJ=53,
1316                MATOP_FDCOLORING_CREATE=54,
1317                MATOP_COLORING_PATCH=55,
1318                MATOP_SET_UNFACTORED=56,
1319                MATOP_PERMUTE=57,
1320                MATOP_SET_VALUES_BLOCKED=58,
1321                MATOP_GET_SUBMATRIX=59,
1322                MATOP_DESTROY=60,
1323                MATOP_VIEW=61,
1324                MATOP_CONVERT_FROM=62,
1325                MATOP_MATMAT_MULT=63,
1326                MATOP_MATMAT_MULT_SYMBOLIC=64,
1327                MATOP_MATMAT_MULT_NUMERIC=65,
1328                MATOP_SET_LOCAL_TO_GLOBAL_MAP=66,
1329                MATOP_SET_VALUES_LOCAL=67,
1330                MATOP_ZERO_ROWS_LOCAL=68,
1331                MATOP_GET_ROW_MAX_ABS=69,
1332                MATOP_GET_ROW_MIN_ABS=70,
1333                MATOP_CONVERT=71,
1334                MATOP_SET_COLORING=72,
1335                MATOP_PLACEHOLDER=73,
1336                MATOP_SET_VALUES_ADIFOR=74,
1337                MATOP_FD_COLORING_APPLY=75,
1338                MATOP_SET_FROM_OPTIONS=76,
1339                MATOP_MULT_CONSTRAINED=77,
1340                MATOP_MULT_TRANSPOSE_CONSTRAIN=78,
1341                MATOP_PERMUTE_SPARSIFY=79,
1342                MATOP_MULT_MULTIPLE=80,
1343                MATOP_SOLVE_MULTIPLE=81,
1344                MATOP_GET_INERTIA=82,
1345                MATOP_LOAD=83,
1346                MATOP_IS_SYMMETRIC=84,
1347                MATOP_IS_HERMITIAN=85,
1348                MATOP_IS_STRUCTURALLY_SYMMETRIC=86,
1349                MATOP_SET_VALUES_BLOCKEDLOCAL=87,
1350                MATOP_GET_VECS=88,
1351                MATOP_MAT_MULT=89,
1352                MATOP_MAT_MULT_SYMBOLIC=90,
1353                MATOP_MAT_MULT_NUMERIC=91,
1354                MATOP_PTAP=92,
1355                MATOP_PTAP_SYMBOLIC=93,
1356                MATOP_PTAP_NUMERIC=94,
1357                MATOP_MAT_TRANSPOSE_MULT=95,
1358                MATOP_MAT_TRANSPOSE_MULT_SYMBO=96,
1359                MATOP_MAT_TRANSPOSE_MULT_NUMER=97,
1360                MATOP_DUMMY98=98,
1361                MATOP_DUMMY99=99,
1362                MATOP_DUMMY100=100,
1363                MATOP_DUMMY101=101,
1364                MATOP_CONJUGATE=102,
1365                MATOP_SET_SIZES=103,
1366                MATOP_SET_VALUES_ROW=104,
1367                MATOP_REAL_PART=105,
1368                MATOP_IMAGINARY_PART=106,
1369                MATOP_GET_ROW_UPPER_TRIANGULAR=107,
1370                MATOP_RESTORE_ROW_UPPER_TRIANG=108,
1371                MATOP_MAT_SOLVE=109,
1372                MATOP_GET_REDUNDANT_MATRIX=110,
1373                MATOP_GET_ROW_MIN=111,
1374                MATOP_GET_COLUMN_VECTOR=112,
1375                MATOP_MISSING_DIAGONAL=113,
1376                MATOP_GET_SEQ_NONZERO_STRUCTUR=114,
1377                MATOP_CREATE=115,
1378                MATOP_GET_GHOSTS=116,
1379                MATOP_GET_LOCAL_SUB_MATRIX=117,
1380                MATOP_RESTORE_LOCALSUB_MATRIX=118,
1381                MATOP_MULT_DIAGONAL_BLOCK=119,
1382                MATOP_HERMITIAN_TRANSPOSE=120,
1383                MATOP_MULT_HERMITIAN_TRANSPOSE=121,
1384                MATOP_MULT_HERMITIAN_TRANS_ADD=122,
1385                MATOP_GET_MULTI_PROC_BLOCK=123,
1386                MATOP_GET_COLUMN_NORMS=125,
1387                MATOP_GET_SUB_MATRICES_PARALLE=128,
1388                MATOP_SET_VALUES_BATCH=129,
1389                MATOP_TRANSPOSE_MAT_MULT=130,
1390                MATOP_TRANSPOSE_MAT_MULT_SYMBO=131,
1391                MATOP_TRANSPOSE_MAT_MULT_NUMER=132,
1392                MATOP_TRANSPOSE_COLORING_CREAT=133,
1393                MATOP_TRANS_COLORING_APPLY_SPT=134,
1394                MATOP_TRANS_COLORING_APPLY_DEN=135,
1395                MATOP_RART=136,
1396                MATOP_RART_SYMBOLIC=137,
1397                MATOP_RART_NUMERIC=138,
1398                MATOP_SET_BLOCK_SIZES=139,
1399                MATOP_AYPX=140
1400              } MatOperation;
1401 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat,MatOperation,PetscBool *);
1402 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat,MatOperation,void(*)(void));
1403 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat,MatOperation,void(**)(void));
1404 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat,void*);
1405 
1406 /*
1407    Codes for matrices stored on disk. By default they are
1408    stored in a universal format. By changing the format with
1409    PetscViewerSetFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
1410    be stored in a way natural for the matrix, for example dense matrices
1411    would be stored as dense. Matrices stored this way may only be
1412    read into matrices of the same type.
1413 */
1414 #define MATRIX_BINARY_FORMAT_DENSE -1
1415 
1416 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1417 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat,Mat*);
1418 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat,Mat);
1419 
1420 /*S
1421      MatNullSpace - Object that removes a null space from a vector, i.e.
1422          orthogonalizes the vector to a subsapce
1423 
1424    Level: advanced
1425 
1426   Concepts: matrix; linear operator, null space
1427 
1428   Users manual sections:
1429 .   sec_singular
1430 
1431 .seealso:  MatNullSpaceCreate()
1432 S*/
1433 typedef struct _p_MatNullSpace* MatNullSpace;
1434 
1435 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm,PetscBool ,PetscInt,const Vec[],MatNullSpace*);
1436 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace,PetscErrorCode (*)(MatNullSpace,Vec,void*),void*);
1437 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace*);
1438 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace,Vec,Vec*);
1439 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
1440 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat,MatNullSpace);
1441 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat,MatNullSpace);
1442 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat,MatNullSpace*);
1443 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace,Mat,PetscBool  *);
1444 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace,PetscViewer);
1445 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace,PetscBool*,PetscInt*,const Vec**);
1446 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec,MatNullSpace*);
1447 
1448 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat,IS);
1449 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1450 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat,PetscInt *);
1451 PETSC_EXTERN PetscErrorCode MatSeqBAIJInvertBlockDiagonal(Mat);
1452 
1453 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat,PetscInt,Mat*);
1454 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat,PetscInt,Mat*);
1455 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat,Mat*);
1456 
1457 PETSC_EXTERN PetscErrorCode MatComputeExplicitOperator(Mat,Mat*);
1458 
1459 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat,Vec);
1460 
1461 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
1462 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat,Vec,Vec);
1463 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat,PetscErrorCode(*)(void*,Vec,Vec),void*);
1464 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat,PetscErrorCode (*)(void*,PetscInt,Vec,PetscScalar*));
1465 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat,PetscErrorCode (*)(void*,Vec));
1466 PETSC_EXTERN PetscErrorCode MatMFFDAddNullSpace(Mat,MatNullSpace);
1467 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat,PetscScalar[],PetscInt);
1468 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
1469 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat,PetscReal);
1470 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat,PetscInt);
1471 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat,PetscScalar *);
1472 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat,const char[]);
1473 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void*,Vec,Vec,PetscScalar*);
1474 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat,PetscErrorCode (*)(void*,Vec,Vec,PetscScalar*),void*);
1475 
1476 /*S
1477     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
1478               Jacobian vector products
1479 
1480     Notes: MATMFFD is a specific MatType which uses the MatMFFD data structure
1481 
1482            MatMFFD*() methods actually take the Mat as their first argument. Not a MatMFFD data structure
1483 
1484     Level: developer
1485 
1486 .seealso: MATMFFD, MatCreateMFFD(), MatMFFDSetFuction(), MatMFFDSetType(), MatMFFDRegister()
1487 S*/
1488 typedef struct _p_MatMFFD* MatMFFD;
1489 
1490 /*J
1491     MatMFFDType - algorithm used to compute the h used in computing matrix-vector products via differencing of the function
1492 
1493    Level: beginner
1494 
1495 .seealso: MatMFFDSetType(), MatMFFDRegister()
1496 J*/
1497 typedef const char* MatMFFDType;
1498 #define MATMFFD_DS  "ds"
1499 #define MATMFFD_WP  "wp"
1500 
1501 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat,MatMFFDType);
1502 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[],PetscErrorCode (*)(MatMFFD));
1503 
1504 PETSC_EXTERN PetscErrorCode MatMFFDRegisterAll(void);
1505 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat,PetscReal);
1506 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat,PetscBool );
1507 
1508 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
1509 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
1510 
1511 /*
1512    PETSc interface to MUMPS
1513 */
1514 #ifdef PETSC_HAVE_MUMPS
1515 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat,PetscInt,PetscInt);
1516 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat,PetscInt,PetscReal);
1517 #endif
1518 
1519 /*
1520    PETSc interface to SUPERLU
1521 */
1522 #ifdef PETSC_HAVE_SUPERLU
1523 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat,PetscReal);
1524 #endif
1525 
1526 #if defined PETSC_HAVE_TXPETSCGPU
1527 
1528 /*E
1529     MatCUSPARSEStorageFormat - indicates the storage format for CUSPARSE (GPU)
1530     matrices. Requires the txpetscgpu package to use. Configure with
1531     --download-txpetscgpu to build/install petsc with the txpetscgpu library.
1532 
1533     Not Collective
1534 
1535 +   MAT_CUSPARSE_CSR - Compressed Sparse Row
1536 .   MAT_CUSPARSE_ELL - Ellpack
1537 -   MAT_CUSPARSE_HYB - Hybrid, a combination of Ellpack and Coordinate format.
1538 
1539     Level: intermediate
1540 
1541    Any additions/changes here MUST also be made in include/finclude/petscmat.h
1542 
1543 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEFormatOperation
1544 E*/
1545 
1546 typedef enum {MAT_CUSPARSE_CSR, MAT_CUSPARSE_ELL, MAT_CUSPARSE_HYB} MatCUSPARSEStorageFormat;
1547 
1548 /* these will be strings associated with enumerated type defined above */
1549 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
1550 
1551 /*E
1552     MatCUSPARSEFormatOperation - indicates the operation of CUSPARSE (GPU)
1553     matrices whose operation should use a particular storage format. Requires
1554     the txpetscgpu package to use. Configure with --download-txpetscgpu to
1555     build/install petsc with the txpetscgpu library.
1556 
1557     Not Collective
1558 
1559 +   MAT_CUSPARSE_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1560 .   MAT_CUSPARSE_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1561 .   MAT_CUSPARSE_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1562 .   MAT_CUSPARSE_SOLVE - sets the storage format for the triangular factors in the serial (single GPU) MatSolve
1563 -   MAT_CUSPARSE_ALL - sets the storage format for all CUSPARSE (GPU) matrices
1564 
1565     Level: intermediate
1566 
1567 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEStorageFormat
1568 E*/
1569 typedef enum {MAT_CUSPARSE_MULT_DIAG, MAT_CUSPARSE_MULT_OFFDIAG, MAT_CUSPARSE_MULT, MAT_CUSPARSE_SOLVE, MAT_CUSPARSE_ALL} MatCUSPARSEFormatOperation;
1570 
1571 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1572 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1573 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat,MatCUSPARSEFormatOperation,MatCUSPARSEStorageFormat);
1574 
1575 #endif
1576 
1577 #if defined(PETSC_HAVE_CUSP)
1578 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1579 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1580 
1581 /*E
1582     MatCUSPStorageFormat - indicates the storage format for CUSP (GPU)
1583     matrices. Requires the txpetscgpu package to use. Configure with
1584     --download-txpetscgpu to build/install petsc with the txpetscgpu library.
1585 
1586     Not Collective
1587 
1588 +   MAT_CUSP_CSR - Compressed Sparse Row
1589 .   MAT_CUSP_DIA - Diagonal
1590 -   MAT_CUSP_ELL - Ellpack
1591 
1592     Level: intermediate
1593 
1594    Any additions/changes here MUST also be made in include/finclude/petscmat.h
1595 
1596 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1597 E*/
1598 typedef enum {MAT_CUSP_CSR, MAT_CUSP_DIA, MAT_CUSP_ELL} MatCUSPStorageFormat;
1599 
1600 /* these will be strings associated with enumerated type defined above */
1601 PETSC_EXTERN const char *const MatCUSPStorageFormats[];
1602 
1603 /*E
1604     MatCUSPFormatOperation - indicates the operation of CUSP (GPU)
1605     matrices whose operation should use a particular storage format. Requires
1606     the txpetscgpu package to use. Configure with --download-txpetscgpu to
1607     build/install petsc with the txpetscgpu library.
1608 
1609     Not Collective
1610 
1611 +   MAT_CUSP_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1612 .   MAT_CUSP_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1613 .   MAT_CUSP_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1614 .   MAT_CUSP_SOLVE - sets the storage format for the triangular factors in the serial (single GPU) MatSolve
1615 -   MAT_CUSP_ALL - sets the storage format for all CUSP (GPU) matrices
1616 
1617     Level: intermediate
1618 
1619    Any additions/changes here MUST also be made in include/finclude/petscmat.h
1620 
1621 .seealso: MatCUSPSetFormat(), MatCUSPStorageFormat
1622 E*/
1623 typedef enum {MAT_CUSP_MULT_DIAG, MAT_CUSP_MULT_OFFDIAG, MAT_CUSP_MULT, MAT_CUSP_SOLVE, MAT_CUSP_ALL} MatCUSPFormatOperation;
1624 
1625 PETSC_EXTERN PetscErrorCode MatCUSPSetFormat(Mat,MatCUSPFormatOperation,MatCUSPStorageFormat);
1626 #endif
1627 
1628 /*
1629    PETSc interface to FFTW
1630 */
1631 #if defined(PETSC_HAVE_FFTW)
1632 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat,Vec,Vec);
1633 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat,Vec,Vec);
1634 PETSC_EXTERN PetscErrorCode MatGetVecsFFTW(Mat,Vec*,Vec*,Vec*);
1635 #endif
1636 
1637 #if defined(PETSC_HAVE_ELEMENTAL)
1638 PETSC_EXTERN PetscErrorCode PetscElementalInitializePackage(void);
1639 PETSC_EXTERN PetscErrorCode PetscElementalFinalizePackage(void);
1640 #endif
1641 
1642 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm,PetscInt,const IS[],PetscInt,const IS[],const Mat[],Mat*);
1643 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat,PetscInt*,PetscInt*);
1644 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat,IS[],IS[]);
1645 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat,IS[],IS[]);
1646 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat,PetscInt*,PetscInt*,Mat***);
1647 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat,PetscInt,PetscInt,Mat*);
1648 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat,VecType);
1649 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat,PetscInt,const IS[],PetscInt,const IS[],const Mat[]);
1650 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat,PetscInt,PetscInt,Mat);
1651 
1652 PETSC_EXTERN PetscErrorCode MatChop(Mat,PetscReal);
1653 
1654 #endif
1655