xref: /petsc/include/petscmat.h (revision cf1aed2ce99d23e50336629af3ca8cf096900abb)
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 MATSEQAIJPTHREAD   "seqaijpthread"
36 #define MATAIJPTHREAD      "aijpthread"
37 #define MATMPIAIJ          "mpiaij"
38 #define MATAIJCRL          "aijcrl"
39 #define MATSEQAIJCRL       "seqaijcrl"
40 #define MATMPIAIJCRL       "mpiaijcrl"
41 #define MATAIJCUSP         "aijcusp"
42 #define MATSEQAIJCUSP      "seqaijcusp"
43 #define MATMPIAIJCUSP      "mpiaijcusp"
44 #define MATAIJCUSPARSE     "aijcusparse"
45 #define MATSEQAIJCUSPARSE  "seqaijcusparse"
46 #define MATMPIAIJCUSPARSE  "mpiaijcusparse"
47 #define MATAIJVIENNACL     "aijviennacl"
48 #define MATSEQAIJVIENNACL  "seqaijviennacl"
49 #define MATMPIAIJVIENNACL  "mpiaijviennacl"
50 #define MATAIJPERM         "aijperm"
51 #define MATSEQAIJPERM      "seqaijperm"
52 #define MATMPIAIJPERM      "mpiaijperm"
53 #define MATSHELL           "shell"
54 #define MATDENSE           "dense"
55 #define MATSEQDENSE        "seqdense"
56 #define MATMPIDENSE        "mpidense"
57 #define MATELEMENTAL       "elemental"
58 #define MATBAIJ            "baij"
59 #define MATSEQBAIJ         "seqbaij"
60 #define MATMPIBAIJ         "mpibaij"
61 #define MATMPIADJ          "mpiadj"
62 #define MATSBAIJ           "sbaij"
63 #define MATSEQSBAIJ        "seqsbaij"
64 #define MATMPISBAIJ        "mpisbaij"
65 #define MATSEQBSTRM        "seqbstrm"
66 #define MATMPIBSTRM        "mpibstrm"
67 #define MATBSTRM           "bstrm"
68 #define MATSEQSBSTRM       "seqsbstrm"
69 #define MATMPISBSTRM       "mpisbstrm"
70 #define MATSBSTRM          "sbstrm"
71 #define MATDAAD            "daad"
72 #define MATMFFD            "mffd"
73 #define MATNORMAL          "normal"
74 #define MATLRC             "lrc"
75 #define MATSCATTER         "scatter"
76 #define MATBLOCKMAT        "blockmat"
77 #define MATCOMPOSITE       "composite"
78 #define MATFFT             "fft"
79 #define MATFFTW            "fftw"
80 #define MATSEQCUFFT        "seqcufft"
81 #define MATTRANSPOSEMAT    "transpose"
82 #define MATSCHURCOMPLEMENT "schurcomplement"
83 #define MATPYTHON          "python"
84 #define MATHYPRESTRUCT     "hyprestruct"
85 #define MATHYPRESSTRUCT    "hypresstruct"
86 #define MATSUBMATRIX       "submatrix"
87 #define MATLOCALREF        "localref"
88 #define MATNEST            "nest"
89 
90 /*J
91     MatSolverPackage - String with the name of a PETSc matrix solver type.
92 
93     For example: "petsc" indicates what PETSc provides, "superlu" indicates either
94        SuperLU or SuperLU_Dist etc.
95 
96 
97    Level: beginner
98 
99 .seealso: MatGetFactor(), Mat, MatSetType(), MatType
100 J*/
101 #define MatSolverPackage char*
102 #define MATSOLVERSUPERLU      "superlu"
103 #define MATSOLVERSUPERLU_DIST "superlu_dist"
104 #define MATSOLVERUMFPACK      "umfpack"
105 #define MATSOLVERCHOLMOD      "cholmod"
106 #define MATSOLVERESSL         "essl"
107 #define MATSOLVERLUSOL        "lusol"
108 #define MATSOLVERMUMPS        "mumps"
109 #define MATSOLVERPASTIX       "pastix"
110 #define MATSOLVERMATLAB       "matlab"
111 #define MATSOLVERPETSC        "petsc"
112 #define MATSOLVERBAS          "bas"
113 #define MATSOLVERCUSPARSE     "cusparse"
114 #define MATSOLVERBSTRM        "bstrm"
115 #define MATSOLVERSBSTRM       "sbstrm"
116 #define MATSOLVERELEMENTAL    "elemental"
117 #define MATSOLVERCLIQUE       "clique"
118 #define MATSOLVERKLU          "klu"
119 
120 /*E
121     MatFactorType - indicates what type of factorization is requested
122 
123     Level: beginner
124 
125    Any additions/changes here MUST also be made in include/finclude/petscmat.h
126 
127 .seealso: MatSolverPackage, MatGetFactor()
128 E*/
129 typedef enum {MAT_FACTOR_NONE, MAT_FACTOR_LU, MAT_FACTOR_CHOLESKY, MAT_FACTOR_ILU, MAT_FACTOR_ICC,MAT_FACTOR_ILUDT} MatFactorType;
130 PETSC_EXTERN const char *const MatFactorTypes[];
131 
132 PETSC_EXTERN PetscErrorCode MatGetFactor(Mat,const MatSolverPackage,MatFactorType,Mat*);
133 PETSC_EXTERN PetscErrorCode MatGetFactorAvailable(Mat,const MatSolverPackage,MatFactorType,PetscBool *);
134 PETSC_EXTERN PetscErrorCode MatFactorGetSolverPackage(Mat,const MatSolverPackage*);
135 PETSC_EXTERN PetscErrorCode MatGetFactorType(Mat,MatFactorType*);
136 
137 /* Logging support */
138 #define    MAT_FILE_CLASSID 1211216    /* used to indicate matrices in binary files */
139 PETSC_EXTERN PetscClassId MAT_CLASSID;
140 PETSC_EXTERN PetscClassId MAT_COLORING_CLASSID;
141 PETSC_EXTERN PetscClassId MAT_FDCOLORING_CLASSID;
142 PETSC_EXTERN PetscClassId MAT_TRANSPOSECOLORING_CLASSID;
143 PETSC_EXTERN PetscClassId MAT_PARTITIONING_CLASSID;
144 PETSC_EXTERN PetscClassId MAT_COARSEN_CLASSID;
145 PETSC_EXTERN PetscClassId MAT_NULLSPACE_CLASSID;
146 PETSC_EXTERN PetscClassId MATMFFD_CLASSID;
147 
148 /*E
149     MatReuse - Indicates if matrices obtained from a previous call to MatGetSubMatrices()
150      or MatGetSubMatrix() are to be reused to store the new matrix values. For MatConvert() is used to indicate
151      that the input matrix is to be replaced with the converted matrix.
152 
153     Level: beginner
154 
155    Any additions/changes here MUST also be made in include/finclude/petscmat.h
156 
157 .seealso: MatGetSubMatrices(), MatGetSubMatrix(), MatDestroyMatrices(), MatConvert()
158 E*/
159 typedef enum {MAT_INITIAL_MATRIX,MAT_REUSE_MATRIX,MAT_IGNORE_MATRIX} MatReuse;
160 
161 /*E
162     MatGetSubMatrixOption - Indicates if matrices obtained from a call to MatGetSubMatrices()
163      include the matrix values. Currently it is only used by MatGetSeqNonzerostructure().
164 
165     Level: beginner
166 
167 .seealso: MatGetSeqNonzerostructure()
168 E*/
169 typedef enum {MAT_DO_NOT_GET_VALUES,MAT_GET_VALUES} MatGetSubMatrixOption;
170 
171 PETSC_EXTERN PetscErrorCode MatInitializePackage(void);
172 
173 PETSC_EXTERN PetscErrorCode MatCreate(MPI_Comm,Mat*);
174 PETSC_EXTERN PetscErrorCode MatSetSizes(Mat,PetscInt,PetscInt,PetscInt,PetscInt);
175 PETSC_EXTERN PetscErrorCode MatSetType(Mat,MatType);
176 PETSC_EXTERN PetscErrorCode MatSetFromOptions(Mat);
177 PETSC_STATIC_INLINE PetscErrorCode MatViewFromOptions(Mat A,const char prefix[],const char name[]) {return PetscObjectViewFromOptions((PetscObject)A,prefix,name);}
178 PETSC_EXTERN PetscErrorCode MatRegisterAll(void);
179 PETSC_EXTERN PetscErrorCode MatRegister(const char[],PetscErrorCode(*)(Mat));
180 PETSC_EXTERN PetscErrorCode MatRegisterBaseName(const char[],const char[],const char[]);
181 PETSC_EXTERN PetscErrorCode MatSetOptionsPrefix(Mat,const char[]);
182 PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefix(Mat,const char[]);
183 PETSC_EXTERN PetscErrorCode MatGetOptionsPrefix(Mat,const char*[]);
184 
185 PETSC_EXTERN PetscBool         MatRegisterAllCalled;
186 PETSC_EXTERN PetscFunctionList MatList;
187 PETSC_EXTERN PetscFunctionList MatColoringList;
188 PETSC_EXTERN PetscFunctionList MatPartitioningList;
189 PETSC_EXTERN PetscFunctionList MatCoarsenList;
190 
191 /*E
192     MatStructure - Indicates if two matrices have the same nonzero structure
193 
194     Level: beginner
195 
196    Any additions/changes here MUST also be made in include/finclude/petscmat.h
197 
198 .seealso: MatCopy(), MatAXPY()
199 E*/
200 typedef enum {DIFFERENT_NONZERO_PATTERN,SUBSET_NONZERO_PATTERN,SAME_NONZERO_PATTERN} MatStructure;
201 
202 PETSC_EXTERN PetscErrorCode MatCreateSeqDense(MPI_Comm,PetscInt,PetscInt,PetscScalar[],Mat*);
203 PETSC_EXTERN PetscErrorCode MatCreateDense(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar[],Mat*);
204 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
205 PETSC_EXTERN PetscErrorCode MatCreateAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
206 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
207 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSplitArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],PetscInt[],PetscInt[],PetscScalar[],Mat*);
208 
209 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
210 PETSC_EXTERN PetscErrorCode MatCreateBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
211 PETSC_EXTERN PetscErrorCode MatCreateMPIBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat*);
212 
213 PETSC_EXTERN PetscErrorCode MatCreateMPIAdj(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscInt[],Mat*);
214 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
215 
216 PETSC_EXTERN PetscErrorCode MatCreateSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
217 PETSC_EXTERN PetscErrorCode MatCreateMPISBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
218 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
219 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
220 PETSC_EXTERN PetscErrorCode MatXAIJSetPreallocation(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscInt[],const PetscInt[]);
221 
222 PETSC_EXTERN PetscErrorCode MatCreateShell(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,void *,Mat*);
223 PETSC_EXTERN PetscErrorCode MatCreateNormal(Mat,Mat*);
224 PETSC_EXTERN PetscErrorCode MatCreateLRC(Mat,Mat,Mat,Mat*);
225 PETSC_EXTERN PetscErrorCode MatCreateIS(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,ISLocalToGlobalMapping,Mat*);
226 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
227 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
228 
229 PETSC_EXTERN PetscErrorCode MatCreateSeqBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
230 PETSC_EXTERN PetscErrorCode MatCreateMPIBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
231 PETSC_EXTERN PetscErrorCode MatCreateSeqSBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
232 PETSC_EXTERN PetscErrorCode MatCreateMPISBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
233 
234 PETSC_EXTERN PetscErrorCode MatCreateScatter(MPI_Comm,VecScatter,Mat*);
235 PETSC_EXTERN PetscErrorCode MatScatterSetVecScatter(Mat,VecScatter);
236 PETSC_EXTERN PetscErrorCode MatScatterGetVecScatter(Mat,VecScatter*);
237 PETSC_EXTERN PetscErrorCode MatCreateBlockMat(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt*,Mat*);
238 PETSC_EXTERN PetscErrorCode MatCompositeAddMat(Mat,Mat);
239 PETSC_EXTERN PetscErrorCode MatCompositeMerge(Mat);
240 PETSC_EXTERN PetscErrorCode MatCreateComposite(MPI_Comm,PetscInt,const Mat*,Mat*);
241 typedef enum {MAT_COMPOSITE_ADDITIVE,MAT_COMPOSITE_MULTIPLICATIVE} MatCompositeType;
242 PETSC_EXTERN PetscErrorCode MatCompositeSetType(Mat,MatCompositeType);
243 
244 PETSC_EXTERN PetscErrorCode MatCreateFFT(MPI_Comm,PetscInt,const PetscInt[],MatType,Mat*);
245 PETSC_EXTERN PetscErrorCode MatCreateSeqCUFFT(MPI_Comm,PetscInt,const PetscInt[],Mat*);
246 
247 PETSC_EXTERN PetscErrorCode MatCreateTranspose(Mat,Mat*);
248 PETSC_EXTERN PetscErrorCode MatCreateSubMatrix(Mat,IS,IS,Mat*);
249 PETSC_EXTERN PetscErrorCode MatSubMatrixUpdate(Mat,Mat,IS,IS);
250 PETSC_EXTERN PetscErrorCode MatCreateLocalRef(Mat,IS,IS,Mat*);
251 
252 PETSC_EXTERN PetscErrorCode MatPythonSetType(Mat,const char[]);
253 
254 PETSC_EXTERN PetscErrorCode MatSetUp(Mat);
255 PETSC_EXTERN PetscErrorCode MatDestroy(Mat*);
256 PETSC_EXTERN PetscErrorCode MatGetNonzeroState(Mat,PetscObjectState*);
257 
258 PETSC_EXTERN PetscErrorCode MatConjugate(Mat);
259 PETSC_EXTERN PetscErrorCode MatRealPart(Mat);
260 PETSC_EXTERN PetscErrorCode MatImaginaryPart(Mat);
261 PETSC_EXTERN PetscErrorCode MatGetDiagonalBlock(Mat,Mat*);
262 PETSC_EXTERN PetscErrorCode MatGetTrace(Mat,PetscScalar*);
263 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonal(Mat,const PetscScalar **);
264 
265 /* ------------------------------------------------------------*/
266 PETSC_EXTERN PetscErrorCode MatSetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
267 PETSC_EXTERN PetscErrorCode MatSetValuesBlocked(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
268 PETSC_EXTERN PetscErrorCode MatSetValuesRow(Mat,PetscInt,const PetscScalar[]);
269 PETSC_EXTERN PetscErrorCode MatSetValuesRowLocal(Mat,PetscInt,const PetscScalar[]);
270 PETSC_EXTERN PetscErrorCode MatSetValuesBatch(Mat,PetscInt,PetscInt,PetscInt[],const PetscScalar[]);
271 PETSC_EXTERN PetscErrorCode MatSetRandom(Mat,PetscRandom);
272 
273 /*S
274      MatStencil - Data structure (C struct) for storing information about a single row or
275         column of a matrix as indexed on an associated grid.
276 
277    Fortran usage is different, see MatSetValuesStencil() for details.
278 
279    Level: beginner
280 
281   Concepts: matrix; linear operator
282 
283 .seealso:  MatSetValuesStencil(), MatSetStencil(), MatSetValuesBlockedStencil()
284 S*/
285 typedef struct {
286   PetscInt k,j,i,c;
287 } MatStencil;
288 
289 PETSC_EXTERN PetscErrorCode MatSetValuesStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
290 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
291 PETSC_EXTERN PetscErrorCode MatSetStencil(Mat,PetscInt,const PetscInt[],const PetscInt[],PetscInt);
292 
293 PETSC_EXTERN PetscErrorCode MatSetColoring(Mat,ISColoring);
294 PETSC_EXTERN PetscErrorCode MatSetValuesAdifor(Mat,PetscInt,void*);
295 
296 /*E
297     MatAssemblyType - Indicates if the matrix is now to be used, or if you plan
298      to continue to add values to it
299 
300     Level: beginner
301 
302 .seealso: MatAssemblyBegin(), MatAssemblyEnd()
303 E*/
304 typedef enum {MAT_FLUSH_ASSEMBLY=1,MAT_FINAL_ASSEMBLY=0} MatAssemblyType;
305 PETSC_EXTERN PetscErrorCode MatAssemblyBegin(Mat,MatAssemblyType);
306 PETSC_EXTERN PetscErrorCode MatAssemblyEnd(Mat,MatAssemblyType);
307 PETSC_EXTERN PetscErrorCode MatAssembled(Mat,PetscBool *);
308 
309 
310 
311 /*E
312     MatOption - Options that may be set for a matrix and its behavior or storage
313 
314     Level: beginner
315 
316    Any additions/changes here MUST also be made in include/finclude/petscmat.h
317 
318    Developer Notes: Entries that are negative need not be called collectively by all processes.
319 
320 .seealso: MatSetOption()
321 E*/
322 typedef enum {MAT_OPTION_MIN = -5,
323               MAT_NEW_NONZERO_LOCATION_ERR = -4,
324               MAT_UNUSED_NONZERO_LOCATION_ERR = -3,
325               MAT_NEW_NONZERO_ALLOCATION_ERR = -2,
326               MAT_ROW_ORIENTED = -1,
327               MAT_SYMMETRIC = 1,
328               MAT_STRUCTURALLY_SYMMETRIC = 2,
329               MAT_NEW_DIAGONALS = 3,
330               MAT_IGNORE_OFF_PROC_ENTRIES = 4,
331               MAT_USE_HASH_TABLE = 5,
332               MAT_KEEP_NONZERO_PATTERN = 6,
333               MAT_IGNORE_ZERO_ENTRIES = 7,
334               MAT_USE_INODES = 8,
335               MAT_HERMITIAN = 9,
336               MAT_SYMMETRY_ETERNAL = 10,
337               MAT_DUMMY = 11,
338               MAT_IGNORE_LOWER_TRIANGULAR = 12,
339               MAT_ERROR_LOWER_TRIANGULAR = 13,
340               MAT_GETROW_UPPERTRIANGULAR = 14,
341               MAT_SPD = 15,
342               MAT_NO_OFF_PROC_ZERO_ROWS = 16,
343               MAT_NO_OFF_PROC_ENTRIES = 17,
344               MAT_NEW_NONZERO_LOCATIONS = 18,
345               MAT_OPTION_MAX = 19} MatOption;
346 
347 PETSC_EXTERN const char *MatOptions[];
348 PETSC_EXTERN PetscErrorCode MatSetOption(Mat,MatOption,PetscBool );
349 PETSC_EXTERN PetscErrorCode MatGetType(Mat,MatType*);
350 
351 PETSC_EXTERN PetscErrorCode MatGetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar[]);
352 PETSC_EXTERN PetscErrorCode MatGetRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
353 PETSC_EXTERN PetscErrorCode MatRestoreRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
354 PETSC_EXTERN PetscErrorCode MatGetRowUpperTriangular(Mat);
355 PETSC_EXTERN PetscErrorCode MatRestoreRowUpperTriangular(Mat);
356 PETSC_EXTERN PetscErrorCode MatGetColumn(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
357 PETSC_EXTERN PetscErrorCode MatRestoreColumn(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
358 PETSC_EXTERN PetscErrorCode MatGetColumnVector(Mat,Vec,PetscInt);
359 PETSC_EXTERN PetscErrorCode MatSeqAIJGetArray(Mat,PetscScalar *[]);
360 PETSC_EXTERN PetscErrorCode MatSeqAIJRestoreArray(Mat,PetscScalar *[]);
361 PETSC_EXTERN PetscErrorCode MatSeqAIJSetValuesLocalFast(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
362 PETSC_EXTERN PetscErrorCode MatDenseGetArray(Mat,PetscScalar *[]);
363 PETSC_EXTERN PetscErrorCode MatDenseRestoreArray(Mat,PetscScalar *[]);
364 PETSC_EXTERN PetscErrorCode MatGetBlockSize(Mat,PetscInt *);
365 PETSC_EXTERN PetscErrorCode MatSetBlockSize(Mat,PetscInt);
366 PETSC_EXTERN PetscErrorCode MatGetBlockSizes(Mat,PetscInt *,PetscInt *);
367 PETSC_EXTERN PetscErrorCode MatSetBlockSizes(Mat,PetscInt,PetscInt);
368 PETSC_EXTERN PetscErrorCode MatSetBlockSizesFromMats(Mat,Mat,Mat);
369 PETSC_EXTERN PetscErrorCode MatSetNThreads(Mat,PetscInt);
370 PETSC_EXTERN PetscErrorCode MatGetNThreads(Mat,PetscInt*);
371 
372 PETSC_EXTERN PetscErrorCode MatMult(Mat,Vec,Vec);
373 PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat,Vec,Vec);
374 PETSC_EXTERN PetscErrorCode MatMultAdd(Mat,Vec,Vec,Vec);
375 PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat,Vec,Vec);
376 PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat,Vec,Vec);
377 PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat,Mat,PetscReal,PetscBool *);
378 PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat,Mat,PetscReal,PetscBool *);
379 PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat,Vec,Vec,Vec);
380 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat,Vec,Vec,Vec);
381 PETSC_EXTERN PetscErrorCode MatMultConstrained(Mat,Vec,Vec);
382 PETSC_EXTERN PetscErrorCode MatMultTransposeConstrained(Mat,Vec,Vec);
383 PETSC_EXTERN PetscErrorCode MatMatSolve(Mat,Mat,Mat);
384 PETSC_EXTERN PetscErrorCode MatResidual(Mat,Vec,Vec,Vec);
385 
386 /*E
387     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
388   its numerical values copied over or just its nonzero structure.
389 
390     Level: beginner
391 
392    Any additions/changes here MUST also be made in include/finclude/petscmat.h
393 
394 $   MAT_SHARE_NONZERO_PATTERN - the i and j arrays in the new matrix will be shared with the original matrix
395 $                               this also triggers the MAT_DO_NOT_COPY_VALUES option. This is used when you
396 $                               have several matrices with the same nonzero pattern.
397 
398 .seealso: MatDuplicate()
399 E*/
400 typedef enum {MAT_DO_NOT_COPY_VALUES,MAT_COPY_VALUES,MAT_SHARE_NONZERO_PATTERN} MatDuplicateOption;
401 
402 PETSC_EXTERN PetscErrorCode MatConvert(Mat,MatType,MatReuse,Mat*);
403 PETSC_EXTERN PetscErrorCode MatDuplicate(Mat,MatDuplicateOption,Mat*);
404 
405 
406 PETSC_EXTERN PetscErrorCode MatCopy(Mat,Mat,MatStructure);
407 PETSC_EXTERN PetscErrorCode MatView(Mat,PetscViewer);
408 PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat,PetscReal,PetscBool *);
409 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat,PetscBool *);
410 PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat,PetscReal,PetscBool *);
411 PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat,PetscBool *,PetscBool *);
412 PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat,PetscBool *,PetscBool *);
413 PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat,PetscBool  *,PetscInt *);
414 PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);
415 
416 PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
417 PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
418 PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
419 PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
420 
421 /*S
422      MatInfo - Context of matrix information, used with MatGetInfo()
423 
424    In Fortran this is simply a double precision array of dimension MAT_INFO_SIZE
425 
426    Level: intermediate
427 
428   Concepts: matrix^nonzero information
429 
430 .seealso:  MatGetInfo(), MatInfoType
431 S*/
432 typedef struct {
433   PetscLogDouble block_size;                         /* block size */
434   PetscLogDouble nz_allocated,nz_used,nz_unneeded;   /* number of nonzeros */
435   PetscLogDouble memory;                             /* memory allocated */
436   PetscLogDouble assemblies;                         /* number of matrix assemblies called */
437   PetscLogDouble mallocs;                            /* number of mallocs during MatSetValues() */
438   PetscLogDouble fill_ratio_given,fill_ratio_needed; /* fill ratio for LU/ILU */
439   PetscLogDouble factor_mallocs;                     /* number of mallocs during factorization */
440 } MatInfo;
441 
442 /*E
443     MatInfoType - Indicates if you want information about the local part of the matrix,
444      the entire parallel matrix or the maximum over all the local parts.
445 
446     Level: beginner
447 
448    Any additions/changes here MUST also be made in include/finclude/petscmat.h
449 
450 .seealso: MatGetInfo(), MatInfo
451 E*/
452 typedef enum {MAT_LOCAL=1,MAT_GLOBAL_MAX=2,MAT_GLOBAL_SUM=3} MatInfoType;
453 PETSC_EXTERN PetscErrorCode MatGetInfo(Mat,MatInfoType,MatInfo*);
454 PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat,Vec);
455 PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat,Vec,PetscInt[]);
456 PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat,Vec,PetscInt[]);
457 PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat,Vec,PetscInt[]);
458 PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat,Vec,PetscInt[]);
459 PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat,Vec);
460 PETSC_EXTERN PetscErrorCode MatTranspose(Mat,MatReuse,Mat*);
461 PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat,MatReuse,Mat*);
462 PETSC_EXTERN PetscErrorCode MatPermute(Mat,IS,IS,Mat *);
463 PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat,Vec,Vec);
464 PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat,Vec,InsertMode);
465 PETSC_EXTERN PetscErrorCode MatEqual(Mat,Mat,PetscBool *);
466 PETSC_EXTERN PetscErrorCode MatMultEqual(Mat,Mat,PetscInt,PetscBool *);
467 PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat,Mat,PetscInt,PetscBool *);
468 PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat,Mat,PetscInt,PetscBool *);
469 PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat,Mat,PetscInt,PetscBool *);
470 
471 PETSC_EXTERN PetscErrorCode MatNorm(Mat,NormType,PetscReal *);
472 PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat,NormType,PetscReal *);
473 PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
474 PETSC_EXTERN PetscErrorCode MatZeroRows(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
475 PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat,IS,PetscScalar,Vec,Vec);
476 PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat,PetscInt,const MatStencil [],PetscScalar,Vec,Vec);
477 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat,PetscInt,const MatStencil[],PetscScalar,Vec,Vec);
478 PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
479 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat,IS,PetscScalar,Vec,Vec);
480 
481 PETSC_EXTERN PetscErrorCode MatGetSize(Mat,PetscInt*,PetscInt*);
482 PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat,PetscInt*,PetscInt*);
483 PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat,PetscInt*,PetscInt*);
484 PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat,const PetscInt**);
485 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat,PetscInt*,PetscInt*);
486 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat,const PetscInt**);
487 PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat,IS*,IS*);
488 
489 PETSC_EXTERN PetscErrorCode MatGetSubMatrices(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
490 PETSC_EXTERN PetscErrorCode MatGetSubMatricesParallel(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
491 PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt,Mat *[]);
492 PETSC_EXTERN PetscErrorCode MatGetSubMatrix(Mat,IS,IS,MatReuse,Mat *);
493 PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat,IS,IS,Mat*);
494 PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat,IS,IS,Mat*);
495 PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat,Mat*);
496 PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat*);
497 
498 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJConcatenateSeqAIJ(MPI_Comm,Mat,PetscInt,MatReuse,Mat*);
499 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJConcatenateSeqAIJSymbolic(MPI_Comm,Mat,PetscInt,Mat*);
500 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJConcatenateSeqAIJNumeric(MPI_Comm,Mat,PetscInt,Mat);
501 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm,Mat,PetscInt,PetscInt,MatReuse,Mat*);
502 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm,Mat,PetscInt,PetscInt,Mat*);
503 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat,Mat);
504 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat,MatReuse,Mat*);
505 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat,MatReuse,IS*,IS*,Mat*);
506 PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat,Mat,MatReuse,IS*,IS*,Mat*);
507 PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *,const PetscInt *[]);
508 
509 PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat,PetscInt,IS[],PetscInt);
510 
511 PETSC_EXTERN PetscErrorCode MatMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
512 PETSC_EXTERN PetscErrorCode MatMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
513 PETSC_EXTERN PetscErrorCode MatMatMultNumeric(Mat,Mat,Mat);
514 
515 PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
516 PETSC_EXTERN PetscErrorCode MatMatMatMultSymbolic(Mat,Mat,Mat,PetscReal,Mat*);
517 PETSC_EXTERN PetscErrorCode MatMatMatMultNumeric(Mat,Mat,Mat,Mat);
518 
519 PETSC_EXTERN PetscErrorCode MatPtAP(Mat,Mat,MatReuse,PetscReal,Mat*);
520 PETSC_EXTERN PetscErrorCode MatPtAPSymbolic(Mat,Mat,PetscReal,Mat*);
521 PETSC_EXTERN PetscErrorCode MatPtAPNumeric(Mat,Mat,Mat);
522 PETSC_EXTERN PetscErrorCode MatRARt(Mat,Mat,MatReuse,PetscReal,Mat*);
523 PETSC_EXTERN PetscErrorCode MatRARtSymbolic(Mat,Mat,PetscReal,Mat*);
524 PETSC_EXTERN PetscErrorCode MatRARtNumeric(Mat,Mat,Mat);
525 
526 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
527 PETSC_EXTERN PetscErrorCode MatTransposetMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
528 PETSC_EXTERN PetscErrorCode MatTransposetMatMultNumeric(Mat,Mat,Mat);
529 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat,Mat,MatReuse,PetscReal,Mat*);
530 PETSC_EXTERN PetscErrorCode MatMatTransposeMultSymbolic(Mat,Mat,PetscReal,Mat*);
531 PETSC_EXTERN PetscErrorCode MatMatTransposeMultNumeric(Mat,Mat,Mat);
532 
533 PETSC_EXTERN PetscErrorCode MatAXPY(Mat,PetscScalar,Mat,MatStructure);
534 PETSC_EXTERN PetscErrorCode MatAYPX(Mat,PetscScalar,Mat,MatStructure);
535 
536 PETSC_EXTERN PetscErrorCode MatScale(Mat,PetscScalar);
537 PETSC_EXTERN PetscErrorCode MatShift(Mat,PetscScalar);
538 
539 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
540 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
541 PETSC_EXTERN PetscErrorCode MatGetLayouts(Mat,PetscLayout*,PetscLayout*);
542 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
543 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
544 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
545 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
546 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
547 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
548 
549 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat,PetscInt,PetscInt);
550 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat,PetscInt*,PetscInt*,PetscInt*,PetscInt*);
551 
552 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat,Vec,Vec);
553 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat,Vec,Vec,Vec);
554 PETSC_EXTERN PetscErrorCode MatRestrict(Mat,Vec,Vec);
555 PETSC_EXTERN PetscErrorCode MatGetVecs(Mat,Vec*,Vec*);
556 PETSC_EXTERN PetscErrorCode MatGetRedundantMatrix(Mat,PetscInt,MPI_Comm,MatReuse,Mat*);
557 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat,MPI_Comm,MatReuse,Mat*);
558 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat,IS*);
559 PETSC_EXTERN PetscErrorCode MatFindOffBlockDiagonalEntries(Mat,IS*);
560 
561 /*MC
562    MatSetValue - Set a single entry into a matrix.
563 
564    Not collective
565 
566    Input Parameters:
567 +  m - the matrix
568 .  row - the row location of the entry
569 .  col - the column location of the entry
570 .  value - the value to insert
571 -  mode - either INSERT_VALUES or ADD_VALUES
572 
573    Notes:
574    For efficiency one should use MatSetValues() and set several or many
575    values simultaneously if possible.
576 
577    Level: beginner
578 
579 .seealso: MatSetValues(), MatSetValueLocal()
580 M*/
581 PETSC_STATIC_INLINE PetscErrorCode MatSetValue(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValues(v,1,&i,1,&j,&va,mode);}
582 
583 PETSC_STATIC_INLINE PetscErrorCode MatGetValue(Mat v,PetscInt i,PetscInt j,PetscScalar *va) {return MatGetValues(v,1,&i,1,&j,va);}
584 
585 PETSC_STATIC_INLINE PetscErrorCode MatSetValueLocal(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValuesLocal(v,1,&i,1,&j,&va,mode);}
586 
587 /*MC
588    MatPreallocateInitialize - Begins the block of code that will count the number of nonzeros per
589        row in a matrix providing the data that one can use to correctly preallocate the matrix.
590 
591    Synopsis:
592    #include <petscmat.h>
593    PetscErrorCode MatPreallocateInitialize(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
594 
595    Collective on MPI_Comm
596 
597    Input Parameters:
598 +  comm - the communicator that will share the eventually allocated matrix
599 .  nrows - the number of LOCAL rows in the matrix
600 -  ncols - the number of LOCAL columns in the matrix
601 
602    Output Parameters:
603 +  dnz - the array that will be passed to the matrix preallocation routines
604 -  ozn - the other array passed to the matrix preallocation routines
605 
606    Level: intermediate
607 
608    Notes:
609     See Users-Manual: ch_performance for more details.
610 
611    Do not malloc or free dnz and onz, that is handled internally by these routines
612 
613    Use MatPreallocateInitializeSymmetric() for symmetric matrices (MPISBAIJ matrices)
614 
615    This is a MACRO not a function because it has a leading { that is closed by PetscPreallocateFinalize().
616 
617   Concepts: preallocation^Matrix
618 
619 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
620           MatPreallocateInitializeSymmetric(), MatPreallocateSymmetricSetLocalBlock()
621 M*/
622 #define MatPreallocateInitialize(comm,nrows,ncols,dnz,onz) 0; \
623 { \
624   PetscErrorCode _4_ierr; PetscInt __nrows = (nrows),__ctmp = (ncols),__rstart,__start,__end; \
625   _4_ierr = PetscCalloc2(__nrows,&dnz,__nrows,&onz);CHKERRQ(_4_ierr); \
626   __start = 0; __end = __start;                                         \
627   _4_ierr = MPI_Scan(&__ctmp,&__end,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __start = __end - __ctmp;\
628   _4_ierr = MPI_Scan(&__nrows,&__rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __nrows;
629 
630 /*MC
631    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
632        inserted using a local number of the rows and columns
633 
634    Synopsis:
635    #include <petscmat.h>
636    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
637 
638    Not Collective
639 
640    Input Parameters:
641 +  map - the row mapping from local numbering to global numbering
642 .  nrows - the number of rows indicated
643 .  rows - the indices of the rows
644 .  cmap - the column mapping from local to global numbering
645 .  ncols - the number of columns in the matrix
646 .  cols - the columns indicated
647 .  dnz - the array that will be passed to the matrix preallocation routines
648 -  ozn - the other array passed to the matrix preallocation routines
649 
650    Level: intermediate
651 
652    Notes:
653     See Users-Manual: ch_performance for more details.
654 
655    Do not malloc or free dnz and onz, that is handled internally by these routines
656 
657   Concepts: preallocation^Matrix
658 
659 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
660           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock()
661 M*/
662 #define MatPreallocateSetLocal(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
663 {\
664   PetscInt __l;\
665   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
666   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
667   for (__l=0;__l<nrows;__l++) {\
668     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
669   }\
670 }
671 
672 /*MC
673    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
674        inserted using a local number of the rows and columns
675 
676    Synopsis:
677    #include <petscmat.h>
678    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
679 
680    Not Collective
681 
682    Input Parameters:
683 +  map - the row mapping from local numbering to global numbering
684 .  nrows - the number of rows indicated
685 .  rows - the indices of the rows
686 .  cmap - the column mapping from local to global numbering
687 .  ncols - the number of columns in the matrix
688 .  cols - the columns indicated
689 .  dnz - the array that will be passed to the matrix preallocation routines
690 -  ozn - the other array passed to the matrix preallocation routines
691 
692    Level: intermediate
693 
694    Notes:
695     See Users-Manual: ch_performance for more details.
696 
697    Do not malloc or free dnz and onz, that is handled internally by these routines
698 
699   Concepts: preallocation^Matrix
700 
701 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
702           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock()
703 M*/
704 #define MatPreallocateSetLocalBlock(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
705 {\
706   PetscInt __l;\
707   _4_ierr = ISLocalToGlobalMappingApplyBlock(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
708   _4_ierr = ISLocalToGlobalMappingApplyBlock(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
709   for (__l=0;__l<nrows;__l++) {\
710     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
711   }\
712 }
713 
714 /*MC
715    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
716        inserted using a local number of the rows and columns
717 
718    Synopsis:
719    #include <petscmat.h>
720    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
721 
722    Not Collective
723 
724    Input Parameters:
725 +  map - the mapping between local numbering and global numbering
726 .  nrows - the number of rows indicated
727 .  rows - the indices of the rows
728 .  ncols - the number of columns in the matrix
729 .  cols - the columns indicated
730 .  dnz - the array that will be passed to the matrix preallocation routines
731 -  ozn - the other array passed to the matrix preallocation routines
732 
733    Level: intermediate
734 
735    Notes:
736     See Users-Manual: ch_performance for more details.
737 
738    Do not malloc or free dnz and onz that is handled internally by these routines
739 
740   Concepts: preallocation^Matrix
741 
742 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateInitialize(),
743           MatPreallocateInitialize(),  MatPreallocateSetLocal()
744 M*/
745 #define MatPreallocateSymmetricSetLocalBlock(map,nrows,rows,ncols,cols,dnz,onz) 0;\
746 {\
747   PetscInt __l;\
748   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
749   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
750   for (__l=0;__l<nrows;__l++) {\
751     _4_ierr = MatPreallocateSymmetricSetBlock((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
752   }\
753 }
754 /*MC
755    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
756        inserted using a local number of the rows and columns
757 
758    Synopsis:
759    #include <petscmat.h>
760    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
761 
762    Not Collective
763 
764    Input Parameters:
765 +  row - the row
766 .  ncols - the number of columns in the matrix
767 -  cols - the columns indicated
768 
769    Output Parameters:
770 +  dnz - the array that will be passed to the matrix preallocation routines
771 -  ozn - the other array passed to the matrix preallocation routines
772 
773    Level: intermediate
774 
775    Notes:
776     See Users-Manual: ch_performance for more details.
777 
778    Do not malloc or free dnz and onz that is handled internally by these routines
779 
780    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
781 
782   Concepts: preallocation^Matrix
783 
784 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
785           MatPreallocateInitialize(), MatPreallocateSetLocal()
786 M*/
787 #define MatPreallocateSet(row,nc,cols,dnz,onz) 0;\
788 { PetscInt __i; \
789   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);\
790   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);\
791   for (__i=0; __i<nc; __i++) {\
792     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
793     else dnz[row - __rstart]++;\
794   }\
795 }
796 
797 /*MC
798    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
799        inserted using a local number of the rows and columns
800 
801    Synopsis:
802    #include <petscmat.h>
803    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
804 
805    Not Collective
806 
807    Input Parameters:
808 +  nrows - the number of rows indicated
809 .  rows - the indices of the rows
810 .  ncols - the number of columns in the matrix
811 .  cols - the columns indicated
812 .  dnz - the array that will be passed to the matrix preallocation routines
813 -  ozn - the other array passed to the matrix preallocation routines
814 
815    Level: intermediate
816 
817    Notes:
818     See Users-Manual: ch_performance for more details.
819 
820    Do not malloc or free dnz and onz that is handled internally by these routines
821 
822    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
823 
824   Concepts: preallocation^Matrix
825 
826 .seealso: MatPreallocateFinalize(), MatPreallocateSet(),  MatPreallocateInitialize(),
827           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
828 M*/
829 #define MatPreallocateSymmetricSetBlock(row,nc,cols,dnz,onz) 0;\
830 { PetscInt __i; \
831   for (__i=0; __i<nc; __i++) {\
832     if (cols[__i] >= __end) onz[row - __rstart]++; \
833     else if (cols[__i] >= row) dnz[row - __rstart]++;\
834   }\
835 }
836 
837 /*MC
838    MatPreallocateLocation -  An alternative to MatPreallocationSet() that puts the nonzero locations into the matrix if it exists
839 
840    Synopsis:
841    #include <petscmat.h>
842    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
843 
844    Not Collective
845 
846    Input Parameters:
847 .  A - matrix
848 .  row - row where values exist (must be local to this process)
849 .  ncols - number of columns
850 .  cols - columns with nonzeros
851 .  dnz - the array that will be passed to the matrix preallocation routines
852 -  ozn - the other array passed to the matrix preallocation routines
853 
854    Level: intermediate
855 
856    Notes:
857     See Users-Manual: ch_performance for more details.
858 
859    Do not malloc or free dnz and onz that is handled internally by these routines
860 
861    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
862 
863   Concepts: preallocation^Matrix
864 
865 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
866           MatPreallocateSymmetricSetLocalBlock()
867 M*/
868 #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);}
869 
870 
871 /*MC
872    MatPreallocateFinalize - Ends the block of code that will count the number of nonzeros per
873        row in a matrix providing the data that one can use to correctly preallocate the matrix.
874 
875    Synopsis:
876    #include <petscmat.h>
877    PetscErrorCode MatPreallocateFinalize(PetscInt *dnz, PetscInt *onz)
878 
879    Collective on MPI_Comm
880 
881    Input Parameters:
882 +  dnz - the array that was be passed to the matrix preallocation routines
883 -  ozn - the other array passed to the matrix preallocation routines
884 
885    Level: intermediate
886 
887    Notes:
888     See Users-Manual: ch_performance for more details.
889 
890    Do not malloc or free dnz and onz that is handled internally by these routines
891 
892    This is a MACRO not a function because it closes the { started in MatPreallocateInitialize().
893 
894   Concepts: preallocation^Matrix
895 
896 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
897           MatPreallocateSymmetricSetLocalBlock()
898 M*/
899 #define MatPreallocateFinalize(dnz,onz) 0;_4_ierr = PetscFree2(dnz,onz);CHKERRQ(_4_ierr);}
900 
901 /* Routines unique to particular data structures */
902 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat,void *);
903 
904 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat,IS*,IS*);
905 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat,PetscInt *,PetscInt *[],PetscInt *);
906 
907 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat,PetscInt[]);
908 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat,PetscInt[]);
909 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
910 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
911 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
912 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*,PetscInt,PetscBool);
913 
914 #define MAT_SKIP_ALLOCATION -4
915 
916 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
917 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
918 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat,PetscInt,const PetscInt[]);
919 
920 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
921 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
922 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
923 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat,const PetscInt [],const PetscInt [],const PetscScalar []);
924 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
925 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]);
926 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
927 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat,PetscInt[],PetscInt[],PetscInt[]);
928 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
929 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
930 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
931 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
932 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat,Mat*);
933 
934 PETSC_EXTERN PetscErrorCode MatSeqDenseSetLDA(Mat,PetscInt);
935 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat,Mat*);
936 
937 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
938 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
939 
940 PETSC_EXTERN PetscErrorCode MatDAADSetCtx(Mat,void*);
941 
942 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat,IS*);
943 /*
944   These routines are not usually accessed directly, rather solving is
945   done through the KSP and PC interfaces.
946 */
947 
948 /*J
949     MatOrderingType - String with the name of a PETSc matrix ordering
950 
951    Level: beginner
952 
953 .seealso: MatGetOrdering()
954 J*/
955 typedef const char* MatOrderingType;
956 #define MATORDERINGNATURAL     "natural"
957 #define MATORDERINGND          "nd"
958 #define MATORDERING1WD         "1wd"
959 #define MATORDERINGRCM         "rcm"
960 #define MATORDERINGQMD         "qmd"
961 #define MATORDERINGROWLENGTH   "rowlength"
962 #define MATORDERINGWBM         "wbm"
963 #define MATORDERINGSPECTRAL    "spectral"
964 #define MATORDERINGAMD         "amd"            /* only works if UMFPACK is installed with PETSc */
965 
966 PETSC_EXTERN PetscErrorCode MatGetOrdering(Mat,MatOrderingType,IS*,IS*);
967 PETSC_EXTERN PetscErrorCode MatGetOrderingList(PetscFunctionList*);
968 PETSC_EXTERN PetscErrorCode MatOrderingRegister(const char[],PetscErrorCode(*)(Mat,MatOrderingType,IS*,IS*));
969 PETSC_EXTERN PetscErrorCode MatOrderingRegisterAll(void);
970 PETSC_EXTERN PetscBool         MatOrderingRegisterAllCalled;
971 PETSC_EXTERN PetscFunctionList MatOrderingList;
972 
973 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
974 PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat,PetscReal,PetscBool,Mat*);
975 
976 /*S
977     MatFactorShiftType - Numeric Shift.
978 
979    Level: beginner
980 
981 S*/
982 typedef enum {MAT_SHIFT_NONE,MAT_SHIFT_NONZERO,MAT_SHIFT_POSITIVE_DEFINITE,MAT_SHIFT_INBLOCKS} MatFactorShiftType;
983 PETSC_EXTERN const char *const MatFactorShiftTypes[];
984 PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];
985 
986 /*S
987    MatFactorInfo - Data passed into the matrix factorization routines
988 
989    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE, that is use
990 $     MatFactorInfo  info(MAT_FACTORINFO_SIZE)
991 
992    Notes: These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
993 
994       You can use MatFactorInfoInitialize() to set default values.
995 
996    Level: developer
997 
998 .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor(),
999           MatFactorInfoInitialize()
1000 
1001 S*/
1002 typedef struct {
1003   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
1004   PetscReal     usedt;
1005   PetscReal     dt;             /* drop tolerance */
1006   PetscReal     dtcol;          /* tolerance for pivoting */
1007   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
1008   PetscReal     fill;           /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1009   PetscReal     levels;         /* ICC/ILU(levels) */
1010   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1011                                    factorization may be faster if do not pivot */
1012   PetscReal     zeropivot;      /* pivot is called zero if less than this */
1013   PetscReal     shifttype;      /* type of shift added to matrix factor to prevent zero pivots */
1014   PetscReal     shiftamount;     /* how large the shift is */
1015 } MatFactorInfo;
1016 
1017 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo*);
1018 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat,IS,const MatFactorInfo*);
1019 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1020 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat,Mat,const MatFactorInfo*);
1021 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat,IS,IS,const MatFactorInfo*);
1022 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat,IS,IS,const MatFactorInfo*);
1023 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1024 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1025 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1026 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat,IS,const MatFactorInfo*);
1027 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat,Mat,const MatFactorInfo*);
1028 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat,PetscInt*,PetscInt*,PetscInt*);
1029 PETSC_EXTERN PetscErrorCode MatSolve(Mat,Vec,Vec);
1030 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat,Vec,Vec);
1031 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat,Vec,Vec);
1032 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat,Vec,Vec,Vec);
1033 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat,Vec,Vec);
1034 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
1035 PETSC_EXTERN PetscErrorCode MatSolves(Mat,Vecs,Vecs);
1036 
1037 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
1038 
1039 /*E
1040     MatSORType - What type of (S)SOR to perform
1041 
1042     Level: beginner
1043 
1044    May be bitwise ORd together
1045 
1046    Any additions/changes here MUST also be made in include/finclude/petscmat.h
1047 
1048    MatSORType may be bitwise ORd together, so do not change the numbers
1049 
1050 .seealso: MatSOR()
1051 E*/
1052 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
1053               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
1054               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
1055               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
1056 PETSC_EXTERN PetscErrorCode MatSOR(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
1057 
1058 /*
1059     These routines are for efficiently computing Jacobians via finite differences.
1060 */
1061 
1062 /*S
1063      MatColoring - Object for managing the coloring of matrices.
1064 
1065    Level: beginner
1066 
1067   Concepts: matrix, coloring
1068 
1069 .seealso:  MatFDColoringCreate() ISColoring MatFDColoring
1070 S*/
1071 typedef struct _p_MatColoring* MatColoring;
1072 /*J
1073     MatColoringType - String with the name of a PETSc matrix coloring
1074 
1075    Level: beginner
1076 
1077 .seealso: MatColoringSetType(), MatColoring
1078 J*/
1079 
1080 typedef const  char*           MatColoringType;
1081 #define MATCOLORINGJP      "jp"
1082 #define MATCOLORINGPOWER   "power"
1083 #define MATCOLORINGNATURAL "natural"
1084 #define MATCOLORINGSL      "sl"
1085 #define MATCOLORINGLF      "lf"
1086 #define MATCOLORINGID      "id"
1087 #define MATCOLORINGGREEDY  "greedy"
1088 
1089 /*E
1090    MatColoringWeightType - Type of weight scheme
1091 
1092     Not Collective
1093 
1094 +   MAT_COLORING_RANDOM  - Random weights
1095 .   MAT_COLORING_LEXICAL - Lexical weighting based upon global numbering.
1096 -   MAT_COLORING_LF      - Last-first weighting.
1097 
1098     Level: intermediate
1099 
1100    Any additions/changes here MUST also be made in include/finclude/petscmat.h
1101 
1102 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1103 E*/
1104 typedef enum {MAT_COLORING_WEIGHT_RANDOM,MAT_COLORING_WEIGHT_LEXICAL,MAT_COLORING_WEIGHT_LF,MAT_COLORING_WEIGHT_SL} MatColoringWeightType;
1105 
1106 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat,MatColoring*);
1107 PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat,PetscInt,PetscInt*);
1108 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring*);
1109 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring,PetscViewer);
1110 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring,MatColoringType);
1111 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1112 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring,PetscInt);
1113 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring,PetscInt*);
1114 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring,PetscInt);
1115 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring,PetscInt*);
1116 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring,ISColoring*);
1117 PETSC_EXTERN PetscErrorCode MatColoringRegisterAll(void);
1118 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[],PetscErrorCode(*)(MatColoring));
1119 PETSC_EXTERN PetscBool MatColoringRegisterAllCalled;
1120 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat,PetscInt,PetscInt,ISColoringValue[],ISColoring*);
1121 PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring,MatColoringWeightType);
1122 PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring,PetscReal*,PetscInt*);
1123 PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring,PetscReal **,PetscInt **lperm);
1124 
1125 /*S
1126      MatFDColoring - Object for computing a sparse Jacobian via finite differences
1127         and coloring
1128 
1129    Level: beginner
1130 
1131   Concepts: coloring, sparse Jacobian, finite differences
1132 
1133 .seealso:  MatFDColoringCreate()
1134 S*/
1135 typedef struct _p_MatFDColoring* MatFDColoring;
1136 
1137 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
1138 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring*);
1139 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring,PetscViewer);
1140 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring,PetscErrorCode (*)(void),void*);
1141 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring,PetscErrorCode (**)(void),void**);
1142 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
1143 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1144 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat,MatFDColoring,Vec,void *);
1145 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring,Vec);
1146 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring,PetscInt*,PetscInt*[]);
1147 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat,ISColoring,MatFDColoring);
1148 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring,PetscInt,PetscInt);
1149 
1150 
1151 /*S
1152      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring
1153 
1154    Level: beginner
1155 
1156   Concepts: coloring, sparse matrix product
1157 
1158 .seealso:  MatTransposeColoringCreate()
1159 S*/
1160 typedef struct _p_MatTransposeColoring* MatTransposeColoring;
1161 
1162 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat,ISColoring,MatTransposeColoring *);
1163 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring,Mat,Mat);
1164 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring,Mat,Mat);
1165 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring*);
1166 
1167 /*
1168     These routines are for partitioning matrices: currently used only
1169   for adjacency matrix, MatCreateMPIAdj().
1170 */
1171 
1172 /*S
1173      MatPartitioning - Object for managing the partitioning of a matrix or graph
1174 
1175    Level: beginner
1176 
1177   Concepts: partitioning
1178 
1179 .seealso:  MatPartitioningCreate(), MatPartitioningType
1180 S*/
1181 typedef struct _p_MatPartitioning* MatPartitioning;
1182 
1183 /*J
1184     MatPartitioningType - String with the name of a PETSc matrix partitioning
1185 
1186    Level: beginner
1187 dm
1188 .seealso: MatPartitioningCreate(), MatPartitioning
1189 J*/
1190 typedef const char* MatPartitioningType;
1191 #define MATPARTITIONINGCURRENT  "current"
1192 #define MATPARTITIONINGSQUARE   "square"
1193 #define MATPARTITIONINGPARMETIS "parmetis"
1194 #define MATPARTITIONINGCHACO    "chaco"
1195 #define MATPARTITIONINGPARTY    "party"
1196 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1197 
1198 
1199 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1200 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning,MatPartitioningType);
1201 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning,PetscInt);
1202 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning,Mat);
1203 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning,const PetscInt[]);
1204 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1205 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning,IS*);
1206 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning*);
1207 
1208 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[],PetscErrorCode (*)(MatPartitioning));
1209 
1210 PETSC_EXTERN PetscBool MatPartitioningRegisterAllCalled;
1211 
1212 PETSC_EXTERN PetscErrorCode MatPartitioningRegisterAll(void);
1213 
1214 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning,PetscViewer);
1215 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1216 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
1217 
1218 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1219 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1220 
1221 typedef enum { MP_CHACO_MULTILEVEL=1,MP_CHACO_SPECTRAL=2,MP_CHACO_LINEAR=4,MP_CHACO_RANDOM=5,MP_CHACO_SCATTERED=6 } MPChacoGlobalType;
1222 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1223 typedef enum { MP_CHACO_KERNIGHAN=1,MP_CHACO_NONE=2 } MPChacoLocalType;
1224 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1225 typedef enum { MP_CHACO_LANCZOS=0,MP_CHACO_RQI=1 } MPChacoEigenType;
1226 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1227 
1228 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning,MPChacoGlobalType);
1229 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning,MPChacoGlobalType*);
1230 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning,MPChacoLocalType);
1231 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning,MPChacoLocalType*);
1232 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning,PetscReal);
1233 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning,MPChacoEigenType);
1234 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning,MPChacoEigenType*);
1235 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning,PetscReal);
1236 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning,PetscReal*);
1237 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning,PetscInt);
1238 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning,PetscInt*);
1239 
1240 #define MP_PARTY_OPT "opt"
1241 #define MP_PARTY_LIN "lin"
1242 #define MP_PARTY_SCA "sca"
1243 #define MP_PARTY_RAN "ran"
1244 #define MP_PARTY_GBF "gbf"
1245 #define MP_PARTY_GCF "gcf"
1246 #define MP_PARTY_BUB "bub"
1247 #define MP_PARTY_DEF "def"
1248 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning,const char*);
1249 #define MP_PARTY_HELPFUL_SETS "hs"
1250 #define MP_PARTY_KERNIGHAN_LIN "kl"
1251 #define MP_PARTY_NONE "no"
1252 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning,const char*);
1253 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning,PetscReal);
1254 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning,PetscBool);
1255 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning,PetscBool);
1256 
1257 typedef enum { MP_PTSCOTCH_QUALITY,MP_PTSCOTCH_SPEED,MP_PTSCOTCH_BALANCE,MP_PTSCOTCH_SAFETY,MP_PTSCOTCH_SCALABILITY } MPPTScotchStrategyType;
1258 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1259 
1260 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning,PetscReal);
1261 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning,PetscReal*);
1262 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning,MPPTScotchStrategyType);
1263 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning,MPPTScotchStrategyType*);
1264 
1265 /*
1266     These routines are for coarsening matrices:
1267 */
1268 
1269 /*S
1270      MatCoarsen - Object for managing the coarsening of a graph (symmetric matrix)
1271 
1272    Level: beginner
1273 
1274   Concepts: coarsen
1275 
1276 .seealso:  MatCoarsenCreate), MatCoarsenType
1277 S*/
1278 typedef struct _p_MatCoarsen* MatCoarsen;
1279 
1280 /*J
1281     MatCoarsenType - String with the name of a PETSc matrix coarsen
1282 
1283    Level: beginner
1284 
1285 .seealso: MatCoarsenCreate(), MatCoarsen
1286 J*/
1287 typedef const char* MatCoarsenType;
1288 #define MATCOARSENMIS  "mis"
1289 #define MATCOARSENHEM  "hem"
1290 
1291 /* linked list for aggregates */
1292 typedef struct _PetscCDIntNd{
1293   struct _PetscCDIntNd *next;
1294   PetscInt             gid;
1295 }PetscCDIntNd;
1296 
1297 /* only used by node pool */
1298 typedef struct _PetscCDArrNd{
1299   struct _PetscCDArrNd *next;
1300   struct _PetscCDIntNd *array;
1301 }PetscCDArrNd;
1302 
1303 typedef struct _PetscCoarsenData{
1304   PetscCDArrNd pool_list;  /* node pool */
1305   PetscCDIntNd *new_node;
1306   PetscInt     new_left;
1307   PetscInt     chk_sz;
1308   PetscCDIntNd *extra_nodes;
1309   PetscCDIntNd **array;  /* Array of lists */
1310   PetscInt     size;
1311   Mat          mat;  /* cache a Mat for communication data */
1312 }PetscCoarsenData;
1313 
1314 PETSC_EXTERN PetscErrorCode MatCoarsenCreate(MPI_Comm,MatCoarsen*);
1315 PETSC_EXTERN PetscErrorCode MatCoarsenSetType(MatCoarsen,MatCoarsenType);
1316 PETSC_EXTERN PetscErrorCode MatCoarsenSetAdjacency(MatCoarsen,Mat);
1317 PETSC_EXTERN PetscErrorCode MatCoarsenSetGreedyOrdering(MatCoarsen,const IS);
1318 PETSC_EXTERN PetscErrorCode MatCoarsenSetStrictAggs(MatCoarsen,PetscBool);
1319 PETSC_EXTERN PetscErrorCode MatCoarsenSetVerbose(MatCoarsen,PetscInt);
1320 PETSC_EXTERN PetscErrorCode MatCoarsenGetData( MatCoarsen, PetscCoarsenData ** );
1321 PETSC_EXTERN PetscErrorCode MatCoarsenApply(MatCoarsen);
1322 PETSC_EXTERN PetscErrorCode MatCoarsenDestroy(MatCoarsen*);
1323 
1324 PETSC_EXTERN PetscErrorCode MatCoarsenRegister(const char[],PetscErrorCode (*)(MatCoarsen));
1325 
1326 PETSC_EXTERN PetscBool MatCoarsenRegisterAllCalled;
1327 
1328 PETSC_EXTERN PetscErrorCode MatCoarsenRegisterAll(void);
1329 
1330 PETSC_EXTERN PetscErrorCode MatCoarsenView(MatCoarsen,PetscViewer);
1331 PETSC_EXTERN PetscErrorCode MatCoarsenSetFromOptions(MatCoarsen);
1332 PETSC_EXTERN PetscErrorCode MatCoarsenGetType(MatCoarsen,MatCoarsenType*);
1333 PETSC_STATIC_INLINE PetscErrorCode MatCoarsenViewFromOptions(MatCoarsen A,const char prefix[],const char name[]) {return PetscObjectViewFromOptions((PetscObject)A,prefix,name);}
1334 
1335 PETSC_EXTERN PetscErrorCode MatMeshToVertexGraph(Mat,PetscInt,Mat*);
1336 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat,PetscInt,Mat*);
1337 
1338 /*
1339     If you add entries here you must also add them to finclude/petscmat.h
1340 */
1341 typedef enum { MATOP_SET_VALUES=0,
1342                MATOP_GET_ROW=1,
1343                MATOP_RESTORE_ROW=2,
1344                MATOP_MULT=3,
1345                MATOP_MULT_ADD=4,
1346                MATOP_MULT_TRANSPOSE=5,
1347                MATOP_MULT_TRANSPOSE_ADD=6,
1348                MATOP_SOLVE=7,
1349                MATOP_SOLVE_ADD=8,
1350                MATOP_SOLVE_TRANSPOSE=9,
1351                MATOP_SOLVE_TRANSPOSE_ADD=10,
1352                MATOP_LUFACTOR=11,
1353                MATOP_CHOLESKYFACTOR=12,
1354                MATOP_SOR=13,
1355                MATOP_TRANSPOSE=14,
1356                MATOP_GETINFO=15,
1357                MATOP_EQUAL=16,
1358                MATOP_GET_DIAGONAL=17,
1359                MATOP_DIAGONAL_SCALE=18,
1360                MATOP_NORM=19,
1361                MATOP_ASSEMBLY_BEGIN=20,
1362                MATOP_ASSEMBLY_END=21,
1363                MATOP_SET_OPTION=22,
1364                MATOP_ZERO_ENTRIES=23,
1365                MATOP_ZERO_ROWS=24,
1366                MATOP_LUFACTOR_SYMBOLIC=25,
1367                MATOP_LUFACTOR_NUMERIC=26,
1368                MATOP_CHOLESKY_FACTOR_SYMBOLIC=27,
1369                MATOP_CHOLESKY_FACTOR_NUMERIC=28,
1370                MATOP_SETUP_PREALLOCATION=29,
1371                MATOP_ILUFACTOR_SYMBOLIC=30,
1372                MATOP_ICCFACTOR_SYMBOLIC=31,
1373                /* MATOP_PLACEHOLDER_32=32, */
1374                /* MATOP_PLACEHOLDER_33=33, */
1375                MATOP_DUPLICATE=34,
1376                MATOP_FORWARD_SOLVE=35,
1377                MATOP_BACKWARD_SOLVE=36,
1378                MATOP_ILUFACTOR=37,
1379                MATOP_ICCFACTOR=38,
1380                MATOP_AXPY=39,
1381                MATOP_GET_SUBMATRICES=40,
1382                MATOP_INCREASE_OVERLAP=41,
1383                MATOP_GET_VALUES=42,
1384                MATOP_COPY=43,
1385                MATOP_GET_ROW_MAX=44,
1386                MATOP_SCALE=45,
1387                MATOP_SHIFT=46,
1388                MATOP_DIAGONAL_SET=47,
1389                MATOP_ZERO_ROWS_COLUMNS=48,
1390                MATOP_SET_RANDOM=49,
1391                MATOP_GET_ROW_IJ=50,
1392                MATOP_RESTORE_ROW_IJ=51,
1393                MATOP_GET_COLUMN_IJ=52,
1394                MATOP_RESTORE_COLUMN_IJ=53,
1395                MATOP_FDCOLORING_CREATE=54,
1396                MATOP_COLORING_PATCH=55,
1397                MATOP_SET_UNFACTORED=56,
1398                MATOP_PERMUTE=57,
1399                MATOP_SET_VALUES_BLOCKED=58,
1400                MATOP_GET_SUBMATRIX=59,
1401                MATOP_DESTROY=60,
1402                MATOP_VIEW=61,
1403                MATOP_CONVERT_FROM=62,
1404                MATOP_MATMAT_MULT=63,
1405                MATOP_MATMAT_MULT_SYMBOLIC=64,
1406                MATOP_MATMAT_MULT_NUMERIC=65,
1407                MATOP_SET_LOCAL_TO_GLOBAL_MAP=66,
1408                MATOP_SET_VALUES_LOCAL=67,
1409                MATOP_ZERO_ROWS_LOCAL=68,
1410                MATOP_GET_ROW_MAX_ABS=69,
1411                MATOP_GET_ROW_MIN_ABS=70,
1412                MATOP_CONVERT=71,
1413                MATOP_SET_COLORING=72,
1414                /* MATOP_PLACEHOLDER_73=73, */
1415                MATOP_SET_VALUES_ADIFOR=74,
1416                MATOP_FD_COLORING_APPLY=75,
1417                MATOP_SET_FROM_OPTIONS=76,
1418                MATOP_MULT_CONSTRAINED=77,
1419                MATOP_MULT_TRANSPOSE_CONSTRAIN=78,
1420                MATOP_FIND_ZERO_DIAGONALS=79,
1421                MATOP_MULT_MULTIPLE=80,
1422                MATOP_SOLVE_MULTIPLE=81,
1423                MATOP_GET_INERTIA=82,
1424                MATOP_LOAD=83,
1425                MATOP_IS_SYMMETRIC=84,
1426                MATOP_IS_HERMITIAN=85,
1427                MATOP_IS_STRUCTURALLY_SYMMETRIC=86,
1428                MATOP_SET_VALUES_BLOCKEDLOCAL=87,
1429                MATOP_GET_VECS=88,
1430                MATOP_MAT_MULT=89,
1431                MATOP_MAT_MULT_SYMBOLIC=90,
1432                MATOP_MAT_MULT_NUMERIC=91,
1433                MATOP_PTAP=92,
1434                MATOP_PTAP_SYMBOLIC=93,
1435                MATOP_PTAP_NUMERIC=94,
1436                MATOP_MAT_TRANSPOSE_MULT=95,
1437                MATOP_MAT_TRANSPOSE_MULT_SYMBO=96,
1438                MATOP_MAT_TRANSPOSE_MULT_NUMER=97,
1439                /* MATOP_PLACEHOLDER_98=98, */
1440                /* MATOP_PLACEHOLDER_99=99, */
1441                /* MATOP_PLACEHOLDER_100=100, */
1442                /* MATOP_PLACEHOLDER_101=101, */
1443                MATOP_CONJUGATE=102,
1444                /* MATOP_PLACEHOLDER_103=103, */
1445                MATOP_SET_VALUES_ROW=104,
1446                MATOP_REAL_PART=105,
1447                MATOP_IMAGINARY_PART=106,
1448                MATOP_GET_ROW_UPPER_TRIANGULAR=107,
1449                MATOP_RESTORE_ROW_UPPER_TRIANG=108,
1450                MATOP_MAT_SOLVE=109,
1451                MATOP_GET_REDUNDANT_MATRIX=110,
1452                MATOP_GET_ROW_MIN=111,
1453                MATOP_GET_COLUMN_VECTOR=112,
1454                MATOP_MISSING_DIAGONAL=113,
1455                MATOP_GET_SEQ_NONZERO_STRUCTUR=114,
1456                MATOP_CREATE=115,
1457                MATOP_GET_GHOSTS=116,
1458                MATOP_GET_LOCAL_SUB_MATRIX=117,
1459                MATOP_RESTORE_LOCALSUB_MATRIX=118,
1460                MATOP_MULT_DIAGONAL_BLOCK=119,
1461                MATOP_HERMITIAN_TRANSPOSE=120,
1462                MATOP_MULT_HERMITIAN_TRANSPOSE=121,
1463                MATOP_MULT_HERMITIAN_TRANS_ADD=122,
1464                MATOP_GET_MULTI_PROC_BLOCK=123,
1465                MATOP_FIND_NONZERO_ROWS=124,
1466                MATOP_GET_COLUMN_NORMS=125,
1467                MATOP_INVERT_BLOCK_DIAGONAL=126,
1468                /* MATOP_PLACEHOLDER_127=127, */
1469                MATOP_GET_SUB_MATRICES_PARALLE=128,
1470                MATOP_SET_VALUES_BATCH=129,
1471                MATOP_TRANSPOSE_MAT_MULT=130,
1472                MATOP_TRANSPOSE_MAT_MULT_SYMBO=131,
1473                MATOP_TRANSPOSE_MAT_MULT_NUMER=132,
1474                MATOP_TRANSPOSE_COLORING_CREAT=133,
1475                MATOP_TRANS_COLORING_APPLY_SPT=134,
1476                MATOP_TRANS_COLORING_APPLY_DEN=135,
1477                MATOP_RART=136,
1478                MATOP_RART_SYMBOLIC=137,
1479                MATOP_RART_NUMERIC=138,
1480                MATOP_SET_BLOCK_SIZES=139,
1481                MATOP_AYPX=140,
1482                MATOP_RESIDUAL=141,
1483                MATOP_FDCOLORING_SETUP= 142
1484              } MatOperation;
1485 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat,MatOperation,PetscBool *);
1486 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat,MatOperation,void(*)(void));
1487 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat,MatOperation,void(**)(void));
1488 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat,void*);
1489 
1490 /*
1491    Codes for matrices stored on disk. By default they are
1492    stored in a universal format. By changing the format with
1493    PetscViewerSetFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
1494    be stored in a way natural for the matrix, for example dense matrices
1495    would be stored as dense. Matrices stored this way may only be
1496    read into matrices of the same type.
1497 */
1498 #define MATRIX_BINARY_FORMAT_DENSE -1
1499 
1500 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1501 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat,Mat*);
1502 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat,Mat);
1503 
1504 /*S
1505      MatNullSpace - Object that removes a null space from a vector, i.e.
1506          orthogonalizes the vector to a subsapce
1507 
1508    Level: advanced
1509 
1510   Concepts: matrix; linear operator, null space
1511 
1512   Users manual sections:
1513 .   sec_singular
1514 
1515 .seealso:  MatNullSpaceCreate()
1516 S*/
1517 typedef struct _p_MatNullSpace* MatNullSpace;
1518 
1519 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm,PetscBool ,PetscInt,const Vec[],MatNullSpace*);
1520 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace,PetscErrorCode (*)(MatNullSpace,Vec,void*),void*);
1521 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace*);
1522 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace,Vec);
1523 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
1524 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat,MatNullSpace);
1525 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat,MatNullSpace);
1526 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat,MatNullSpace*);
1527 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace,Mat,PetscBool  *);
1528 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace,PetscViewer);
1529 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace,PetscBool*,PetscInt*,const Vec**);
1530 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec,MatNullSpace*);
1531 
1532 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat,IS);
1533 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1534 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat,PetscInt *);
1535 PETSC_EXTERN PetscErrorCode MatSeqBAIJInvertBlockDiagonal(Mat);
1536 
1537 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat,PetscInt,Mat*);
1538 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat,PetscInt,Mat*);
1539 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat,Mat*);
1540 
1541 PETSC_EXTERN PetscErrorCode MatComputeExplicitOperator(Mat,Mat*);
1542 
1543 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat,Vec);
1544 
1545 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
1546 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat,Vec,Vec);
1547 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat,PetscErrorCode(*)(void*,Vec,Vec),void*);
1548 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat,PetscErrorCode (*)(void*,PetscInt,Vec,PetscScalar*));
1549 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat,PetscErrorCode (*)(void*,Vec));
1550 PETSC_EXTERN PetscErrorCode MatMFFDAddNullSpace(Mat,MatNullSpace);
1551 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat,PetscScalar[],PetscInt);
1552 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
1553 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat,PetscReal);
1554 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat,PetscInt);
1555 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat,PetscScalar *);
1556 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat,const char[]);
1557 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void*,Vec,Vec,PetscScalar*);
1558 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat,PetscErrorCode (*)(void*,Vec,Vec,PetscScalar*),void*);
1559 
1560 /*S
1561     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
1562               Jacobian vector products
1563 
1564     Notes: MATMFFD is a specific MatType which uses the MatMFFD data structure
1565 
1566            MatMFFD*() methods actually take the Mat as their first argument. Not a MatMFFD data structure
1567 
1568     Level: developer
1569 
1570 .seealso: MATMFFD, MatCreateMFFD(), MatMFFDSetFuction(), MatMFFDSetType(), MatMFFDRegister()
1571 S*/
1572 typedef struct _p_MatMFFD* MatMFFD;
1573 
1574 /*J
1575     MatMFFDType - algorithm used to compute the h used in computing matrix-vector products via differencing of the function
1576 
1577    Level: beginner
1578 
1579 .seealso: MatMFFDSetType(), MatMFFDRegister()
1580 J*/
1581 typedef const char* MatMFFDType;
1582 #define MATMFFD_DS  "ds"
1583 #define MATMFFD_WP  "wp"
1584 
1585 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat,MatMFFDType);
1586 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[],PetscErrorCode (*)(MatMFFD));
1587 
1588 PETSC_EXTERN PetscErrorCode MatMFFDRegisterAll(void);
1589 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat,PetscReal);
1590 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat,PetscBool );
1591 
1592 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
1593 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
1594 
1595 /*
1596    PETSc interface to MUMPS
1597 */
1598 #ifdef PETSC_HAVE_MUMPS
1599 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat,PetscInt,PetscInt);
1600 PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat,PetscInt,PetscInt*);
1601 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat,PetscInt,PetscReal);
1602 PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat,PetscInt,PetscReal*);
1603 
1604 PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat,PetscInt,PetscInt*);
1605 PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat,PetscInt,PetscInt*);
1606 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat,PetscInt,PetscReal*);
1607 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat,PetscInt,PetscReal*);
1608 #endif
1609 
1610 /*
1611    PETSc interface to SUPERLU
1612 */
1613 #ifdef PETSC_HAVE_SUPERLU
1614 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat,PetscReal);
1615 #endif
1616 
1617 #ifdef PETSC_HAVE_CUDA
1618 /*E
1619     MatCUSPARSEStorageFormat - indicates the storage format for CUSPARSE (GPU)
1620     matrices.
1621 
1622     Not Collective
1623 
1624 +   MAT_CUSPARSE_CSR - Compressed Sparse Row
1625 .   MAT_CUSPARSE_ELL - Ellpack (requires CUDA 4.2 or later).
1626 -   MAT_CUSPARSE_HYB - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
1627 
1628     Level: intermediate
1629 
1630    Any additions/changes here MUST also be made in include/finclude/petscmat.h
1631 
1632 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEFormatOperation
1633 E*/
1634 
1635 typedef enum {MAT_CUSPARSE_CSR, MAT_CUSPARSE_ELL, MAT_CUSPARSE_HYB} MatCUSPARSEStorageFormat;
1636 
1637 /* these will be strings associated with enumerated type defined above */
1638 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
1639 
1640 /*E
1641     MatCUSPARSEFormatOperation - indicates the operation of CUSPARSE (GPU)
1642     matrices whose operation should use a particular storage format.
1643 
1644     Not Collective
1645 
1646 +   MAT_CUSPARSE_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1647 .   MAT_CUSPARSE_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1648 .   MAT_CUSPARSE_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1649 -   MAT_CUSPARSE_ALL - sets the storage format for all CUSPARSE (GPU) matrices
1650 
1651     Level: intermediate
1652 
1653 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEStorageFormat
1654 E*/
1655 typedef enum {MAT_CUSPARSE_MULT_DIAG, MAT_CUSPARSE_MULT_OFFDIAG, MAT_CUSPARSE_MULT, MAT_CUSPARSE_ALL} MatCUSPARSEFormatOperation;
1656 
1657 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1658 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1659 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat,MatCUSPARSEFormatOperation,MatCUSPARSEStorageFormat);
1660 #endif
1661 
1662 #if defined(PETSC_HAVE_CUSP)
1663 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1664 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1665 
1666 /*E
1667     MatCUSPStorageFormat - indicates the storage format for CUSP (GPU)
1668     matrices.
1669 
1670     Not Collective
1671 
1672 +   MAT_CUSP_CSR - Compressed Sparse Row
1673 .   MAT_CUSP_DIA - Diagonal
1674 -   MAT_CUSP_ELL - Ellpack
1675 
1676     Level: intermediate
1677 
1678    Any additions/changes here MUST also be made in include/finclude/petscmat.h
1679 
1680 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1681 E*/
1682 typedef enum {MAT_CUSP_CSR, MAT_CUSP_DIA, MAT_CUSP_ELL} MatCUSPStorageFormat;
1683 
1684 /* these will be strings associated with enumerated type defined above */
1685 PETSC_EXTERN const char *const MatCUSPStorageFormats[];
1686 
1687 /*E
1688     MatCUSPFormatOperation - indicates the operation of CUSP (GPU)
1689     matrices whose operation should use a particular storage format.
1690 
1691     Not Collective
1692 
1693 +   MAT_CUSP_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1694 .   MAT_CUSP_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1695 .   MAT_CUSP_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1696 -   MAT_CUSP_ALL - sets the storage format for all CUSP (GPU) matrices
1697 
1698     Level: intermediate
1699 
1700    Any additions/changes here MUST also be made in include/finclude/petscmat.h
1701 
1702 .seealso: MatCUSPSetFormat(), MatCUSPStorageFormat
1703 E*/
1704 typedef enum {MAT_CUSP_MULT_DIAG, MAT_CUSP_MULT_OFFDIAG, MAT_CUSP_MULT, MAT_CUSP_ALL} MatCUSPFormatOperation;
1705 
1706 PETSC_EXTERN PetscErrorCode MatCUSPSetFormat(Mat,MatCUSPFormatOperation,MatCUSPStorageFormat);
1707 #endif
1708 
1709 #if defined(PETSC_HAVE_VIENNACL)
1710 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1711 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1712 #endif
1713 
1714 /*
1715    PETSc interface to FFTW
1716 */
1717 #if defined(PETSC_HAVE_FFTW)
1718 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat,Vec,Vec);
1719 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat,Vec,Vec);
1720 PETSC_EXTERN PetscErrorCode MatGetVecsFFTW(Mat,Vec*,Vec*,Vec*);
1721 #endif
1722 
1723 #if defined(PETSC_HAVE_ELEMENTAL)
1724 PETSC_EXTERN PetscErrorCode PetscElementalInitializePackage(void);
1725 PETSC_EXTERN PetscErrorCode PetscElementalFinalizePackage(void);
1726 #endif
1727 
1728 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm,PetscInt,const IS[],PetscInt,const IS[],const Mat[],Mat*);
1729 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat,PetscInt*,PetscInt*);
1730 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat,IS[],IS[]);
1731 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat,IS[],IS[]);
1732 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat,PetscInt*,PetscInt*,Mat***);
1733 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat,PetscInt,PetscInt,Mat*);
1734 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat,VecType);
1735 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat,PetscInt,const IS[],PetscInt,const IS[],const Mat[]);
1736 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat,PetscInt,PetscInt,Mat);
1737 
1738 PETSC_EXTERN PetscErrorCode MatChop(Mat,PetscReal);
1739 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat,PetscReal,PetscInt*);
1740 
1741 #endif
1742