xref: /petsc/include/petscmat.h (revision af25d912c737f21fca88746c26cd8b5ca8321f21)
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 MATNORMALHERMITIAN "normalh"
75 #define MATLRC             "lrc"
76 #define MATSCATTER         "scatter"
77 #define MATBLOCKMAT        "blockmat"
78 #define MATCOMPOSITE       "composite"
79 #define MATFFT             "fft"
80 #define MATFFTW            "fftw"
81 #define MATSEQCUFFT        "seqcufft"
82 #define MATTRANSPOSEMAT    "transpose"
83 #define MATSCHURCOMPLEMENT "schurcomplement"
84 #define MATPYTHON          "python"
85 #define MATHYPRESTRUCT     "hyprestruct"
86 #define MATHYPRESSTRUCT    "hypresstruct"
87 #define MATSUBMATRIX       "submatrix"
88 #define MATLOCALREF        "localref"
89 #define MATNEST            "nest"
90 #define MATPREALLOCATOR    "preallocator"
91 
92 /*J
93     MatSolverPackage - String with the name of a PETSc matrix solver type.
94 
95     For example: "petsc" indicates what PETSc provides, "superlu_dist" the parallel SuperLU_DIST package etc
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 MATSOLVERMKL_PARDISO  "mkl_pardiso"
110 #define MATSOLVERMKL_CPARDISO "mkl_cpardiso"
111 #define MATSOLVERPASTIX       "pastix"
112 #define MATSOLVERMATLAB       "matlab"
113 #define MATSOLVERPETSC        "petsc"
114 #define MATSOLVERBAS          "bas"
115 #define MATSOLVERCUSPARSE     "cusparse"
116 #define MATSOLVERBSTRM        "bstrm"
117 #define MATSOLVERSBSTRM       "sbstrm"
118 #define MATSOLVERELEMENTAL    "elemental"
119 #define MATSOLVERCLIQUE       "clique"
120 #define MATSOLVERKLU          "klu"
121 
122 /*E
123     MatFactorType - indicates what type of factorization is requested
124 
125     Level: beginner
126 
127    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
128 
129 .seealso: MatSolverPackage, MatGetFactor()
130 E*/
131 typedef enum {MAT_FACTOR_NONE, MAT_FACTOR_LU, MAT_FACTOR_CHOLESKY, MAT_FACTOR_ILU, MAT_FACTOR_ICC,MAT_FACTOR_ILUDT} MatFactorType;
132 PETSC_EXTERN const char *const MatFactorTypes[];
133 
134 PETSC_EXTERN PetscErrorCode MatGetFactor(Mat,const MatSolverPackage,MatFactorType,Mat*);
135 PETSC_EXTERN PetscErrorCode MatGetFactorAvailable(Mat,const MatSolverPackage,MatFactorType,PetscBool *);
136 PETSC_EXTERN PetscErrorCode MatFactorGetSolverPackage(Mat,const MatSolverPackage*);
137 PETSC_EXTERN PetscErrorCode MatGetFactorType(Mat,MatFactorType*);
138 PETSC_EXTERN PetscErrorCode MatSolverPackageRegister(const MatSolverPackage,const MatType,MatFactorType,PetscErrorCode(*)(Mat,MatFactorType,Mat*));
139 PETSC_EXTERN PetscErrorCode MatSolverPackageGet(const MatSolverPackage,const MatType,MatFactorType,PetscBool*,PetscBool*,PetscErrorCode (**)(Mat,MatFactorType,Mat*));
140 
141 /* Logging support */
142 #define    MAT_FILE_CLASSID 1211216    /* used to indicate matrices in binary files */
143 PETSC_EXTERN PetscClassId MAT_CLASSID;
144 PETSC_EXTERN PetscClassId MAT_COLORING_CLASSID;
145 PETSC_EXTERN PetscClassId MAT_FDCOLORING_CLASSID;
146 PETSC_EXTERN PetscClassId MAT_TRANSPOSECOLORING_CLASSID;
147 PETSC_EXTERN PetscClassId MAT_PARTITIONING_CLASSID;
148 PETSC_EXTERN PetscClassId MAT_COARSEN_CLASSID;
149 PETSC_EXTERN PetscClassId MAT_NULLSPACE_CLASSID;
150 PETSC_EXTERN PetscClassId MATMFFD_CLASSID;
151 
152 /*E
153     MatReuse - Indicates if matrices obtained from a previous call to MatGetSubMatrices()
154      or MatGetSubMatrix() are to be reused to store the new matrix values. For MatConvert() is used to indicate
155      that the input matrix is to be replaced with the converted matrix.
156 
157     Level: beginner
158 
159    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
160 
161 .seealso: MatGetSubMatrices(), MatGetSubMatrix(), MatDestroyMatrices(), MatConvert()
162 E*/
163 typedef enum {MAT_INITIAL_MATRIX,MAT_REUSE_MATRIX,MAT_IGNORE_MATRIX,MAT_INPLACE_MATRIX} MatReuse;
164 
165 /*E
166     MatGetSubMatrixOption - Indicates if matrices obtained from a call to MatGetSubMatrices()
167      include the matrix values. Currently it is only used by MatGetSeqNonzerostructure().
168 
169     Level: beginner
170 
171 .seealso: MatGetSeqNonzerostructure()
172 E*/
173 typedef enum {MAT_DO_NOT_GET_VALUES,MAT_GET_VALUES} MatGetSubMatrixOption;
174 
175 PETSC_EXTERN PetscErrorCode MatInitializePackage(void);
176 
177 PETSC_EXTERN PetscErrorCode MatCreate(MPI_Comm,Mat*);
178 PETSC_EXTERN PetscErrorCode MatSetSizes(Mat,PetscInt,PetscInt,PetscInt,PetscInt);
179 PETSC_EXTERN PetscErrorCode MatSetType(Mat,MatType);
180 PETSC_EXTERN PetscErrorCode MatSetFromOptions(Mat);
181 PETSC_STATIC_INLINE PetscErrorCode MatViewFromOptions(Mat A,PetscObject obj,const char name[]) {return PetscObjectViewFromOptions((PetscObject)A,obj,name);}
182 PETSC_EXTERN PetscErrorCode MatRegister(const char[],PetscErrorCode(*)(Mat));
183 PETSC_EXTERN PetscErrorCode MatRegisterBaseName(const char[],const char[],const char[]);
184 PETSC_EXTERN PetscErrorCode MatSetOptionsPrefix(Mat,const char[]);
185 PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefix(Mat,const char[]);
186 PETSC_EXTERN PetscErrorCode MatGetOptionsPrefix(Mat,const char*[]);
187 PETSC_EXTERN PetscErrorCode MatSetErrorIfFailure(Mat,PetscBool);
188 
189 PETSC_EXTERN PetscFunctionList MatList;
190 PETSC_EXTERN PetscFunctionList MatColoringList;
191 PETSC_EXTERN PetscFunctionList MatPartitioningList;
192 PETSC_EXTERN PetscFunctionList MatCoarsenList;
193 
194 /*E
195     MatStructure - Indicates if two matrices have the same nonzero structure
196 
197     Level: beginner
198 
199    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
200 
201 .seealso: MatCopy(), MatAXPY()
202 E*/
203 typedef enum {DIFFERENT_NONZERO_PATTERN,SUBSET_NONZERO_PATTERN,SAME_NONZERO_PATTERN} MatStructure;
204 
205 PETSC_EXTERN PetscErrorCode MatCreateSeqDense(MPI_Comm,PetscInt,PetscInt,PetscScalar[],Mat*);
206 PETSC_EXTERN PetscErrorCode MatCreateDense(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar[],Mat*);
207 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
208 PETSC_EXTERN PetscErrorCode MatCreateAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
209 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
210 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSplitArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],PetscInt[],PetscInt[],PetscScalar[],Mat*);
211 
212 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
213 PETSC_EXTERN PetscErrorCode MatCreateBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
214 PETSC_EXTERN PetscErrorCode MatCreateMPIBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat*);
215 
216 PETSC_EXTERN PetscErrorCode MatCreateMPIAdj(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscInt[],Mat*);
217 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
218 
219 PETSC_EXTERN PetscErrorCode MatCreateSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
220 PETSC_EXTERN PetscErrorCode MatCreateMPISBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
221 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
222 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
223 PETSC_EXTERN PetscErrorCode MatXAIJSetPreallocation(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscInt[],const PetscInt[]);
224 
225 PETSC_EXTERN PetscErrorCode MatCreateShell(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,void *,Mat*);
226 PETSC_EXTERN PetscErrorCode MatCreateNormal(Mat,Mat*);
227 PETSC_EXTERN PetscErrorCode MatCreateNormalHermitian(Mat,Mat*);
228 PETSC_EXTERN PetscErrorCode MatCreateLRC(Mat,Mat,Mat,Mat*);
229 PETSC_EXTERN PetscErrorCode MatCreateIS(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,ISLocalToGlobalMapping,ISLocalToGlobalMapping,Mat*);
230 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
231 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
232 
233 PETSC_EXTERN PetscErrorCode MatCreateSeqBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
234 PETSC_EXTERN PetscErrorCode MatCreateMPIBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
235 PETSC_EXTERN PetscErrorCode MatCreateSeqSBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
236 PETSC_EXTERN PetscErrorCode MatCreateMPISBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
237 
238 PETSC_EXTERN PetscErrorCode MatCreateScatter(MPI_Comm,VecScatter,Mat*);
239 PETSC_EXTERN PetscErrorCode MatScatterSetVecScatter(Mat,VecScatter);
240 PETSC_EXTERN PetscErrorCode MatScatterGetVecScatter(Mat,VecScatter*);
241 PETSC_EXTERN PetscErrorCode MatCreateBlockMat(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt*,Mat*);
242 PETSC_EXTERN PetscErrorCode MatCompositeAddMat(Mat,Mat);
243 PETSC_EXTERN PetscErrorCode MatCompositeMerge(Mat);
244 PETSC_EXTERN PetscErrorCode MatCreateComposite(MPI_Comm,PetscInt,const Mat*,Mat*);
245 typedef enum {MAT_COMPOSITE_ADDITIVE,MAT_COMPOSITE_MULTIPLICATIVE} MatCompositeType;
246 PETSC_EXTERN PetscErrorCode MatCompositeSetType(Mat,MatCompositeType);
247 
248 PETSC_EXTERN PetscErrorCode MatCreateFFT(MPI_Comm,PetscInt,const PetscInt[],MatType,Mat*);
249 PETSC_EXTERN PetscErrorCode MatCreateSeqCUFFT(MPI_Comm,PetscInt,const PetscInt[],Mat*);
250 
251 PETSC_EXTERN PetscErrorCode MatCreateTranspose(Mat,Mat*);
252 PETSC_EXTERN PetscErrorCode MatCreateHermitianTranspose(Mat,Mat*);
253 PETSC_EXTERN PetscErrorCode MatCreateSubMatrix(Mat,IS,IS,Mat*);
254 PETSC_EXTERN PetscErrorCode MatSubMatrixUpdate(Mat,Mat,IS,IS);
255 PETSC_EXTERN PetscErrorCode MatCreateLocalRef(Mat,IS,IS,Mat*);
256 
257 PETSC_EXTERN PetscErrorCode MatPythonSetType(Mat,const char[]);
258 
259 PETSC_EXTERN PetscErrorCode MatSetUp(Mat);
260 PETSC_EXTERN PetscErrorCode MatDestroy(Mat*);
261 PETSC_EXTERN PetscErrorCode MatGetNonzeroState(Mat,PetscObjectState*);
262 
263 PETSC_EXTERN PetscErrorCode MatConjugate(Mat);
264 PETSC_EXTERN PetscErrorCode MatRealPart(Mat);
265 PETSC_EXTERN PetscErrorCode MatImaginaryPart(Mat);
266 PETSC_EXTERN PetscErrorCode MatGetDiagonalBlock(Mat,Mat*);
267 PETSC_EXTERN PetscErrorCode MatGetTrace(Mat,PetscScalar*);
268 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonal(Mat,const PetscScalar **);
269 
270 /* ------------------------------------------------------------*/
271 PETSC_EXTERN PetscErrorCode MatSetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
272 PETSC_EXTERN PetscErrorCode MatSetValuesBlocked(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
273 PETSC_EXTERN PetscErrorCode MatSetValuesRow(Mat,PetscInt,const PetscScalar[]);
274 PETSC_EXTERN PetscErrorCode MatSetValuesRowLocal(Mat,PetscInt,const PetscScalar[]);
275 PETSC_EXTERN PetscErrorCode MatSetValuesBatch(Mat,PetscInt,PetscInt,PetscInt[],const PetscScalar[]);
276 PETSC_EXTERN PetscErrorCode MatSetRandom(Mat,PetscRandom);
277 
278 /*S
279      MatStencil - Data structure (C struct) for storing information about a single row or
280         column of a matrix as indexed on an associated grid.
281 
282    Fortran usage is different, see MatSetValuesStencil() for details.
283 
284    Level: beginner
285 
286   Concepts: matrix; linear operator
287 
288 .seealso:  MatSetValuesStencil(), MatSetStencil(), MatSetValuesBlockedStencil()
289 S*/
290 typedef struct {
291   PetscInt k,j,i,c;
292 } MatStencil;
293 
294 PETSC_EXTERN PetscErrorCode MatSetValuesStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
295 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
296 PETSC_EXTERN PetscErrorCode MatSetStencil(Mat,PetscInt,const PetscInt[],const PetscInt[],PetscInt);
297 
298 PETSC_EXTERN PetscErrorCode MatSetColoring(Mat,ISColoring);
299 PETSC_EXTERN PetscErrorCode MatSetValuesAdifor(Mat,PetscInt,void*);
300 
301 /*E
302     MatAssemblyType - Indicates if the matrix is now to be used, or if you plan
303      to continue to add values to it
304 
305     Level: beginner
306 
307 .seealso: MatAssemblyBegin(), MatAssemblyEnd()
308 E*/
309 typedef enum {MAT_FLUSH_ASSEMBLY=1,MAT_FINAL_ASSEMBLY=0} MatAssemblyType;
310 PETSC_EXTERN PetscErrorCode MatAssemblyBegin(Mat,MatAssemblyType);
311 PETSC_EXTERN PetscErrorCode MatAssemblyEnd(Mat,MatAssemblyType);
312 PETSC_EXTERN PetscErrorCode MatAssembled(Mat,PetscBool *);
313 
314 
315 
316 /*E
317     MatOption - Options that may be set for a matrix and its behavior or storage
318 
319     Level: beginner
320 
321    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
322 
323    Developer Notes: Entries that are negative need not be called collectively by all processes.
324 
325 .seealso: MatSetOption()
326 E*/
327 typedef enum {MAT_OPTION_MIN = -3,
328               MAT_UNUSED_NONZERO_LOCATION_ERR = -2,
329               MAT_ROW_ORIENTED = -1,
330               MAT_SYMMETRIC = 1,
331               MAT_STRUCTURALLY_SYMMETRIC = 2,
332               MAT_NEW_DIAGONALS = 3,
333               MAT_IGNORE_OFF_PROC_ENTRIES = 4,
334               MAT_USE_HASH_TABLE = 5,
335               MAT_KEEP_NONZERO_PATTERN = 6,
336               MAT_IGNORE_ZERO_ENTRIES = 7,
337               MAT_USE_INODES = 8,
338               MAT_HERMITIAN = 9,
339               MAT_SYMMETRY_ETERNAL = 10,
340               MAT_NEW_NONZERO_LOCATION_ERR = 11,
341               MAT_IGNORE_LOWER_TRIANGULAR = 12,
342               MAT_ERROR_LOWER_TRIANGULAR = 13,
343               MAT_GETROW_UPPERTRIANGULAR = 14,
344               MAT_SPD = 15,
345               MAT_NO_OFF_PROC_ZERO_ROWS = 16,
346               MAT_NO_OFF_PROC_ENTRIES = 17,
347               MAT_NEW_NONZERO_LOCATIONS = 18,
348               MAT_NEW_NONZERO_ALLOCATION_ERR = 19,
349               MAT_SUBSET_OFF_PROC_ENTRIES = 20,
350               MAT_OPTION_MAX = 21} MatOption;
351 
352 PETSC_EXTERN const char *MatOptions[];
353 PETSC_EXTERN PetscErrorCode MatSetOption(Mat,MatOption,PetscBool);
354 PETSC_EXTERN PetscErrorCode MatGetOption(Mat,MatOption,PetscBool*);
355 PETSC_EXTERN PetscErrorCode MatGetType(Mat,MatType*);
356 
357 PETSC_EXTERN PetscErrorCode MatGetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar[]);
358 PETSC_EXTERN PetscErrorCode MatGetRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
359 PETSC_EXTERN PetscErrorCode MatRestoreRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
360 PETSC_EXTERN PetscErrorCode MatGetRowUpperTriangular(Mat);
361 PETSC_EXTERN PetscErrorCode MatRestoreRowUpperTriangular(Mat);
362 PETSC_EXTERN PetscErrorCode MatGetColumn(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
363 PETSC_EXTERN PetscErrorCode MatRestoreColumn(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
364 PETSC_EXTERN PetscErrorCode MatGetColumnVector(Mat,Vec,PetscInt);
365 PETSC_EXTERN PetscErrorCode MatSeqAIJGetArray(Mat,PetscScalar *[]);
366 PETSC_EXTERN PetscErrorCode MatSeqAIJRestoreArray(Mat,PetscScalar *[]);
367 PETSC_EXTERN PetscErrorCode MatSeqAIJGetMaxRowNonzeros(Mat,PetscInt*);
368 PETSC_EXTERN PetscErrorCode MatSeqAIJSetValuesLocalFast(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
369 PETSC_EXTERN PetscErrorCode MatDenseGetArray(Mat,PetscScalar *[]);
370 PETSC_EXTERN PetscErrorCode MatDenseRestoreArray(Mat,PetscScalar *[]);
371 PETSC_EXTERN PetscErrorCode MatGetBlockSize(Mat,PetscInt *);
372 PETSC_EXTERN PetscErrorCode MatSetBlockSize(Mat,PetscInt);
373 PETSC_EXTERN PetscErrorCode MatGetBlockSizes(Mat,PetscInt *,PetscInt *);
374 PETSC_EXTERN PetscErrorCode MatSetBlockSizes(Mat,PetscInt,PetscInt);
375 PETSC_EXTERN PetscErrorCode MatSetBlockSizesFromMats(Mat,Mat,Mat);
376 PETSC_EXTERN PetscErrorCode MatSetNThreads(Mat,PetscInt);
377 PETSC_EXTERN PetscErrorCode MatGetNThreads(Mat,PetscInt*);
378 
379 PETSC_EXTERN PetscErrorCode MatMult(Mat,Vec,Vec);
380 PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat,Vec,Vec);
381 PETSC_EXTERN PetscErrorCode MatMultAdd(Mat,Vec,Vec,Vec);
382 PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat,Vec,Vec);
383 PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat,Vec,Vec);
384 PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat,Mat,PetscReal,PetscBool *);
385 PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat,Mat,PetscReal,PetscBool *);
386 PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat,Vec,Vec,Vec);
387 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat,Vec,Vec,Vec);
388 PETSC_EXTERN PetscErrorCode MatMultConstrained(Mat,Vec,Vec);
389 PETSC_EXTERN PetscErrorCode MatMultTransposeConstrained(Mat,Vec,Vec);
390 PETSC_EXTERN PetscErrorCode MatMatSolve(Mat,Mat,Mat);
391 PETSC_EXTERN PetscErrorCode MatResidual(Mat,Vec,Vec,Vec);
392 
393 /*E
394     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
395   its numerical values copied over or just its nonzero structure.
396 
397     Level: beginner
398 
399    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
400 
401 $   MAT_SHARE_NONZERO_PATTERN - the i and j arrays in the new matrix will be shared with the original matrix
402 $                               this also triggers the MAT_DO_NOT_COPY_VALUES option. This is used when you
403 $                               have several matrices with the same nonzero pattern.
404 
405 .seealso: MatDuplicate()
406 E*/
407 typedef enum {MAT_DO_NOT_COPY_VALUES,MAT_COPY_VALUES,MAT_SHARE_NONZERO_PATTERN} MatDuplicateOption;
408 
409 PETSC_EXTERN PetscErrorCode MatConvert(Mat,MatType,MatReuse,Mat*);
410 PETSC_EXTERN PetscErrorCode MatDuplicate(Mat,MatDuplicateOption,Mat*);
411 
412 
413 PETSC_EXTERN PetscErrorCode MatCopy(Mat,Mat,MatStructure);
414 PETSC_EXTERN PetscErrorCode MatView(Mat,PetscViewer);
415 PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat,PetscReal,PetscBool *);
416 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat,PetscBool *);
417 PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat,PetscReal,PetscBool *);
418 PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat,PetscBool *,PetscBool *);
419 PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat,PetscBool *,PetscBool *);
420 PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat,PetscBool  *,PetscInt *);
421 PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);
422 
423 PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
424 PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
425 PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
426 PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
427 
428 /*S
429      MatInfo - Context of matrix information, used with MatGetInfo()
430 
431    In Fortran this is simply a double precision array of dimension MAT_INFO_SIZE
432 
433    Level: intermediate
434 
435   Concepts: matrix^nonzero information
436 
437 .seealso:  MatGetInfo(), MatInfoType
438 S*/
439 typedef struct {
440   PetscLogDouble block_size;                         /* block size */
441   PetscLogDouble nz_allocated,nz_used,nz_unneeded;   /* number of nonzeros */
442   PetscLogDouble memory;                             /* memory allocated */
443   PetscLogDouble assemblies;                         /* number of matrix assemblies called */
444   PetscLogDouble mallocs;                            /* number of mallocs during MatSetValues() */
445   PetscLogDouble fill_ratio_given,fill_ratio_needed; /* fill ratio for LU/ILU */
446   PetscLogDouble factor_mallocs;                     /* number of mallocs during factorization */
447 } MatInfo;
448 
449 /*E
450     MatInfoType - Indicates if you want information about the local part of the matrix,
451      the entire parallel matrix or the maximum over all the local parts.
452 
453     Level: beginner
454 
455    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
456 
457 .seealso: MatGetInfo(), MatInfo
458 E*/
459 typedef enum {MAT_LOCAL=1,MAT_GLOBAL_MAX=2,MAT_GLOBAL_SUM=3} MatInfoType;
460 PETSC_EXTERN PetscErrorCode MatGetInfo(Mat,MatInfoType,MatInfo*);
461 PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat,Vec);
462 PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat,Vec,PetscInt[]);
463 PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat,Vec,PetscInt[]);
464 PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat,Vec,PetscInt[]);
465 PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat,Vec,PetscInt[]);
466 PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat,Vec);
467 PETSC_EXTERN PetscErrorCode MatTranspose(Mat,MatReuse,Mat*);
468 PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat,MatReuse,Mat*);
469 PETSC_EXTERN PetscErrorCode MatPermute(Mat,IS,IS,Mat*);
470 PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat,Vec,Vec);
471 PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat,Vec,InsertMode);
472 
473 PETSC_EXTERN PetscErrorCode MatEqual(Mat,Mat,PetscBool*);
474 PETSC_EXTERN PetscErrorCode MatMultEqual(Mat,Mat,PetscInt,PetscBool*);
475 PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat,Mat,PetscInt,PetscBool*);
476 PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat,Mat,PetscInt,PetscBool*);
477 PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat,Mat,PetscInt,PetscBool*);
478 PETSC_EXTERN PetscErrorCode MatMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
479 PETSC_EXTERN PetscErrorCode MatTransposeMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
480 
481 PETSC_EXTERN PetscErrorCode MatNorm(Mat,NormType,PetscReal*);
482 PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat,NormType,PetscReal*);
483 PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
484 PETSC_EXTERN PetscErrorCode MatZeroRows(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
485 PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat,IS,PetscScalar,Vec,Vec);
486 PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat,PetscInt,const MatStencil [],PetscScalar,Vec,Vec);
487 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat,PetscInt,const MatStencil[],PetscScalar,Vec,Vec);
488 PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
489 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat,IS,PetscScalar,Vec,Vec);
490 
491 PETSC_EXTERN PetscErrorCode MatGetSize(Mat,PetscInt*,PetscInt*);
492 PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat,PetscInt*,PetscInt*);
493 PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat,PetscInt*,PetscInt*);
494 PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat,const PetscInt**);
495 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat,PetscInt*,PetscInt*);
496 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat,const PetscInt**);
497 PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat,IS*,IS*);
498 
499 PETSC_EXTERN PetscErrorCode MatGetSubMatrices(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
500 PETSC_EXTERN PetscErrorCode MatGetSubMatricesMPI(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
501 PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt,Mat *[]);
502 PETSC_EXTERN PetscErrorCode MatGetSubMatrix(Mat,IS,IS,MatReuse,Mat *);
503 PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat,IS,IS,Mat*);
504 PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat,IS,IS,Mat*);
505 PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat,Mat*);
506 PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat*);
507 
508 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm,Mat,PetscInt,PetscInt,MatReuse,Mat*);
509 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm,Mat,PetscInt,PetscInt,Mat*);
510 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat,Mat);
511 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat,MatReuse,Mat*);
512 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat,MatReuse,IS*,IS*,Mat*);
513 PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat,Mat,MatReuse,IS*,IS*,Mat*);
514 PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *,const PetscInt *[]);
515 
516 PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat,PetscInt,IS[],PetscInt);
517 PETSC_EXTERN PetscErrorCode MatIncreaseOverlapSplit(Mat mat,PetscInt n,IS is[],PetscInt ov);
518 PETSC_EXTERN PetscErrorCode MatMPIAIJSetUseScalableIncreaseOverlap(Mat,PetscBool);
519 
520 PETSC_EXTERN PetscErrorCode MatMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
521 PETSC_EXTERN PetscErrorCode MatMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
522 PETSC_EXTERN PetscErrorCode MatMatMultNumeric(Mat,Mat,Mat);
523 
524 PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
525 PETSC_EXTERN PetscErrorCode MatMatMatMultSymbolic(Mat,Mat,Mat,PetscReal,Mat*);
526 PETSC_EXTERN PetscErrorCode MatMatMatMultNumeric(Mat,Mat,Mat,Mat);
527 
528 PETSC_EXTERN PetscErrorCode MatPtAP(Mat,Mat,MatReuse,PetscReal,Mat*);
529 PETSC_EXTERN PetscErrorCode MatPtAPSymbolic(Mat,Mat,PetscReal,Mat*);
530 PETSC_EXTERN PetscErrorCode MatPtAPNumeric(Mat,Mat,Mat);
531 PETSC_EXTERN PetscErrorCode MatRARt(Mat,Mat,MatReuse,PetscReal,Mat*);
532 PETSC_EXTERN PetscErrorCode MatRARtSymbolic(Mat,Mat,PetscReal,Mat*);
533 PETSC_EXTERN PetscErrorCode MatRARtNumeric(Mat,Mat,Mat);
534 
535 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
536 PETSC_EXTERN PetscErrorCode MatTransposetMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
537 PETSC_EXTERN PetscErrorCode MatTransposetMatMultNumeric(Mat,Mat,Mat);
538 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat,Mat,MatReuse,PetscReal,Mat*);
539 PETSC_EXTERN PetscErrorCode MatMatTransposeMultSymbolic(Mat,Mat,PetscReal,Mat*);
540 PETSC_EXTERN PetscErrorCode MatMatTransposeMultNumeric(Mat,Mat,Mat);
541 
542 PETSC_EXTERN PetscErrorCode MatAXPY(Mat,PetscScalar,Mat,MatStructure);
543 PETSC_EXTERN PetscErrorCode MatAYPX(Mat,PetscScalar,Mat,MatStructure);
544 
545 PETSC_EXTERN PetscErrorCode MatScale(Mat,PetscScalar);
546 PETSC_EXTERN PetscErrorCode MatShift(Mat,PetscScalar);
547 
548 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
549 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
550 PETSC_EXTERN PetscErrorCode MatGetLayouts(Mat,PetscLayout*,PetscLayout*);
551 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
552 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
553 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
554 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
555 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
556 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
557 
558 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat,PetscInt,PetscInt);
559 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat,PetscInt*,PetscInt*,PetscInt*,PetscInt*);
560 
561 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat,Vec,Vec);
562 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat,Vec,Vec,Vec);
563 PETSC_EXTERN PetscErrorCode MatRestrict(Mat,Vec,Vec);
564 PETSC_EXTERN PetscErrorCode MatCreateVecs(Mat,Vec*,Vec*);
565 PETSC_DEPRECATED("Use MatCreateVecs()") PETSC_STATIC_INLINE PetscErrorCode MatGetVecs(Mat mat,Vec *x,Vec *y) {return MatCreateVecs(mat,x,y);}
566 PETSC_EXTERN PetscErrorCode MatCreateRedundantMatrix(Mat,PetscInt,MPI_Comm,MatReuse,Mat*);
567 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat,MPI_Comm,MatReuse,Mat*);
568 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat,IS*);
569 PETSC_EXTERN PetscErrorCode MatFindOffBlockDiagonalEntries(Mat,IS*);
570 PETSC_EXTERN PetscErrorCode MatCreateMPIMatConcatenateSeqMat(MPI_Comm,Mat,PetscInt,MatReuse,Mat*);
571 
572 /*MC
573    MatSetValue - Set a single entry into a matrix.
574 
575    Not collective
576 
577    Synopsis:
578      #include <petscmat.h>
579      PetscErrorCode MatSetValue(Mat m,PetscInt row,PetscInt col,PetscScalar value,InsertMode mode)
580 
581    Input Parameters:
582 +  m - the matrix
583 .  row - the row location of the entry
584 .  col - the column location of the entry
585 .  value - the value to insert
586 -  mode - either INSERT_VALUES or ADD_VALUES
587 
588    Notes:
589    For efficiency one should use MatSetValues() and set several or many
590    values simultaneously if possible.
591 
592    Level: beginner
593 
594 .seealso: MatSetValues(), MatSetValueLocal()
595 M*/
596 PETSC_STATIC_INLINE PetscErrorCode MatSetValue(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValues(v,1,&i,1,&j,&va,mode);}
597 
598 PETSC_STATIC_INLINE PetscErrorCode MatGetValue(Mat v,PetscInt i,PetscInt j,PetscScalar *va) {return MatGetValues(v,1,&i,1,&j,va);}
599 
600 PETSC_STATIC_INLINE PetscErrorCode MatSetValueLocal(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValuesLocal(v,1,&i,1,&j,&va,mode);}
601 
602 /*MC
603    MatPreallocateInitialize - Begins the block of code that will count the number of nonzeros per
604        row in a matrix providing the data that one can use to correctly preallocate the matrix.
605 
606    Synopsis:
607    #include <petscmat.h>
608    PetscErrorCode MatPreallocateInitialize(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
609 
610    Collective on MPI_Comm
611 
612    Input Parameters:
613 +  comm - the communicator that will share the eventually allocated matrix
614 .  nrows - the number of LOCAL rows in the matrix
615 -  ncols - the number of LOCAL columns in the matrix
616 
617    Output Parameters:
618 +  dnz - the array that will be passed to the matrix preallocation routines
619 -  ozn - the other array passed to the matrix preallocation routines
620 
621    Level: intermediate
622 
623    Notes:
624     See Users-Manual: ch_performance for more details.
625 
626    Do not malloc or free dnz and onz, that is handled internally by these routines
627 
628    Use MatPreallocateInitializeSymmetric() for symmetric matrices (MPISBAIJ matrices)
629 
630    This is a MACRO not a function because it has a leading { that is closed by PetscPreallocateFinalize().
631 
632   Concepts: preallocation^Matrix
633 
634 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
635           MatPreallocateInitializeSymmetric(), MatPreallocateSymmetricSetLocalBlock()
636 M*/
637 #define MatPreallocateInitialize(comm,nrows,ncols,dnz,onz) 0; \
638 { \
639   PetscErrorCode _4_ierr; PetscInt __nrows = (nrows),__ctmp = (ncols),__rstart,__start,__end; \
640   _4_ierr = PetscCalloc2(__nrows,&dnz,__nrows,&onz);CHKERRQ(_4_ierr); \
641   __start = 0; __end = __start;                                         \
642   _4_ierr = MPI_Scan(&__ctmp,&__end,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __start = __end - __ctmp;\
643   _4_ierr = MPI_Scan(&__nrows,&__rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __nrows;
644 
645 /*MC
646    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
647        inserted using a local number of the rows and columns
648 
649    Synopsis:
650    #include <petscmat.h>
651    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
652 
653    Not Collective
654 
655    Input Parameters:
656 +  map - the row mapping from local numbering to global numbering
657 .  nrows - the number of rows indicated
658 .  rows - the indices of the rows
659 .  cmap - the column mapping from local to global numbering
660 .  ncols - the number of columns in the matrix
661 .  cols - the columns indicated
662 .  dnz - the array that will be passed to the matrix preallocation routines
663 -  ozn - the other array passed to the matrix preallocation routines
664 
665    Level: intermediate
666 
667    Notes:
668     See Users-Manual: ch_performance for more details.
669 
670    Do not malloc or free dnz and onz, that is handled internally by these routines
671 
672   Concepts: preallocation^Matrix
673 
674 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
675           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock()
676 M*/
677 #define MatPreallocateSetLocal(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
678 {\
679   PetscInt __l;\
680   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
681   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
682   for (__l=0;__l<nrows;__l++) {\
683     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
684   }\
685 }
686 
687 /*MC
688    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
689        inserted using a local number of the rows and columns
690 
691    Synopsis:
692    #include <petscmat.h>
693    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
694 
695    Not Collective
696 
697    Input Parameters:
698 +  map - the row mapping from local numbering to global numbering
699 .  nrows - the number of rows indicated
700 .  rows - the indices of the rows
701 .  cmap - the column mapping from local to global numbering
702 .  ncols - the number of columns in the matrix
703 .  cols - the columns indicated
704 .  dnz - the array that will be passed to the matrix preallocation routines
705 -  ozn - the other array passed to the matrix preallocation routines
706 
707    Level: intermediate
708 
709    Notes:
710     See Users-Manual: ch_performance for more details.
711 
712    Do not malloc or free dnz and onz, that is handled internally by these routines
713 
714   Concepts: preallocation^Matrix
715 
716 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
717           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock()
718 M*/
719 #define MatPreallocateSetLocalBlock(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
720 {\
721   PetscInt __l;\
722   _4_ierr = ISLocalToGlobalMappingApplyBlock(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
723   _4_ierr = ISLocalToGlobalMappingApplyBlock(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
724   for (__l=0;__l<nrows;__l++) {\
725     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
726   }\
727 }
728 
729 /*MC
730    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
731        inserted using a local number of the rows and columns
732 
733    Synopsis:
734    #include <petscmat.h>
735    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
736 
737    Not Collective
738 
739    Input Parameters:
740 +  map - the mapping between local numbering and global numbering
741 .  nrows - the number of rows indicated
742 .  rows - the indices of the rows
743 .  ncols - the number of columns in the matrix
744 .  cols - the columns indicated
745 .  dnz - the array that will be passed to the matrix preallocation routines
746 -  ozn - the other array passed to the matrix preallocation routines
747 
748    Level: intermediate
749 
750    Notes:
751     See Users-Manual: ch_performance for more details.
752 
753    Do not malloc or free dnz and onz that is handled internally by these routines
754 
755   Concepts: preallocation^Matrix
756 
757 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateInitialize(),
758           MatPreallocateInitialize(),  MatPreallocateSetLocal()
759 M*/
760 #define MatPreallocateSymmetricSetLocalBlock(map,nrows,rows,ncols,cols,dnz,onz) 0;\
761 {\
762   PetscInt __l;\
763   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
764   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
765   for (__l=0;__l<nrows;__l++) {\
766     _4_ierr = MatPreallocateSymmetricSetBlock((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
767   }\
768 }
769 /*MC
770    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
771        inserted using a local number of the rows and columns
772 
773    Synopsis:
774    #include <petscmat.h>
775    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
776 
777    Not Collective
778 
779    Input Parameters:
780 +  row - the row
781 .  ncols - the number of columns in the matrix
782 -  cols - the columns indicated
783 
784    Output Parameters:
785 +  dnz - the array that will be passed to the matrix preallocation routines
786 -  ozn - the other array passed to the matrix preallocation routines
787 
788    Level: intermediate
789 
790    Notes:
791     See Users-Manual: ch_performance for more details.
792 
793    Do not malloc or free dnz and onz that is handled internally by these routines
794 
795    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
796 
797   Concepts: preallocation^Matrix
798 
799 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
800           MatPreallocateInitialize(), MatPreallocateSetLocal()
801 M*/
802 #define MatPreallocateSet(row,nc,cols,dnz,onz) 0;\
803 { PetscInt __i; \
804   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);\
805   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);\
806   for (__i=0; __i<nc; __i++) {\
807     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
808     else dnz[row - __rstart]++;\
809   }\
810 }
811 
812 /*MC
813    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
814        inserted using a local number of the rows and columns
815 
816    Synopsis:
817    #include <petscmat.h>
818    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
819 
820    Not Collective
821 
822    Input Parameters:
823 +  nrows - the number of rows indicated
824 .  rows - the indices of the rows
825 .  ncols - the number of columns in the matrix
826 .  cols - the columns indicated
827 .  dnz - the array that will be passed to the matrix preallocation routines
828 -  ozn - the other array passed to the matrix preallocation routines
829 
830    Level: intermediate
831 
832    Notes:
833     See Users-Manual: ch_performance for more details.
834 
835    Do not malloc or free dnz and onz that is handled internally by these routines
836 
837    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
838 
839   Concepts: preallocation^Matrix
840 
841 .seealso: MatPreallocateFinalize(), MatPreallocateSet(),  MatPreallocateInitialize(),
842           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
843 M*/
844 #define MatPreallocateSymmetricSetBlock(row,nc,cols,dnz,onz) 0;\
845 { PetscInt __i; \
846   for (__i=0; __i<nc; __i++) {\
847     if (cols[__i] >= __end) onz[row - __rstart]++; \
848     else if (cols[__i] >= row) dnz[row - __rstart]++;\
849   }\
850 }
851 
852 /*MC
853    MatPreallocateLocation -  An alternative to MatPreallocationSet() that puts the nonzero locations into the matrix if it exists
854 
855    Synopsis:
856    #include <petscmat.h>
857    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
858 
859    Not Collective
860 
861    Input Parameters:
862 .  A - matrix
863 .  row - row where values exist (must be local to this process)
864 .  ncols - number of columns
865 .  cols - columns with nonzeros
866 .  dnz - the array that will be passed to the matrix preallocation routines
867 -  ozn - the other array passed to the matrix preallocation routines
868 
869    Level: intermediate
870 
871    Notes:
872     See Users-Manual: ch_performance for more details.
873 
874    Do not malloc or free dnz and onz that is handled internally by these routines
875 
876    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
877 
878   Concepts: preallocation^Matrix
879 
880 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
881           MatPreallocateSymmetricSetLocalBlock()
882 M*/
883 #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);}
884 
885 
886 /*MC
887    MatPreallocateFinalize - Ends the block of code that will count the number of nonzeros per
888        row in a matrix providing the data that one can use to correctly preallocate the matrix.
889 
890    Synopsis:
891    #include <petscmat.h>
892    PetscErrorCode MatPreallocateFinalize(PetscInt *dnz, PetscInt *onz)
893 
894    Collective on MPI_Comm
895 
896    Input Parameters:
897 +  dnz - the array that was be passed to the matrix preallocation routines
898 -  ozn - the other array passed to the matrix preallocation routines
899 
900    Level: intermediate
901 
902    Notes:
903     See Users-Manual: ch_performance for more details.
904 
905    Do not malloc or free dnz and onz that is handled internally by these routines
906 
907    This is a MACRO not a function because it closes the { started in MatPreallocateInitialize().
908 
909   Concepts: preallocation^Matrix
910 
911 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
912           MatPreallocateSymmetricSetLocalBlock()
913 M*/
914 #define MatPreallocateFinalize(dnz,onz) 0;_4_ierr = PetscFree2(dnz,onz);CHKERRQ(_4_ierr);}
915 
916 /* Routines unique to particular data structures */
917 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat,void *);
918 
919 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat,IS*,IS*);
920 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat,PetscInt *,PetscInt *[],PetscInt *);
921 
922 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat,PetscInt[]);
923 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat,PetscInt[]);
924 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
925 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
926 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
927 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*,PetscInt,PetscBool);
928 
929 #define MAT_SKIP_ALLOCATION -4
930 
931 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
932 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
933 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat,PetscInt,const PetscInt[]);
934 
935 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
936 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
937 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
938 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat,const PetscInt [],const PetscInt [],const PetscScalar []);
939 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
940 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]);
941 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
942 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat,PetscInt[],PetscInt[],PetscInt[]);
943 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
944 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
945 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
946 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
947 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat,Mat*);
948 
949 PETSC_EXTERN PetscErrorCode MatISSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
950 PETSC_EXTERN PetscErrorCode MatISSetUpSF(Mat);
951 PETSC_EXTERN PetscErrorCode MatSeqDenseSetLDA(Mat,PetscInt);
952 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat,Mat*);
953 
954 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
955 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
956 
957 PETSC_EXTERN PetscErrorCode MatDAADSetCtx(Mat,void*);
958 
959 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat,IS*);
960 /*
961   These routines are not usually accessed directly, rather solving is
962   done through the KSP and PC interfaces.
963 */
964 
965 /*J
966     MatOrderingType - String with the name of a PETSc matrix ordering
967 
968    Level: beginner
969 
970 .seealso: MatGetOrdering()
971 J*/
972 typedef const char* MatOrderingType;
973 #define MATORDERINGNATURAL     "natural"
974 #define MATORDERINGND          "nd"
975 #define MATORDERING1WD         "1wd"
976 #define MATORDERINGRCM         "rcm"
977 #define MATORDERINGQMD         "qmd"
978 #define MATORDERINGROWLENGTH   "rowlength"
979 #define MATORDERINGWBM         "wbm"
980 #define MATORDERINGSPECTRAL    "spectral"
981 #define MATORDERINGAMD         "amd"            /* only works if UMFPACK is installed with PETSc */
982 
983 PETSC_EXTERN PetscErrorCode MatGetOrdering(Mat,MatOrderingType,IS*,IS*);
984 PETSC_EXTERN PetscErrorCode MatGetOrderingList(PetscFunctionList*);
985 PETSC_EXTERN PetscErrorCode MatOrderingRegister(const char[],PetscErrorCode(*)(Mat,MatOrderingType,IS*,IS*));
986 PETSC_EXTERN PetscFunctionList MatOrderingList;
987 
988 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
989 PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat,PetscReal,PetscBool,Mat*);
990 
991 /*S
992     MatFactorShiftType - Numeric Shift.
993 
994    Level: beginner
995 
996 S*/
997 typedef enum {MAT_SHIFT_NONE,MAT_SHIFT_NONZERO,MAT_SHIFT_POSITIVE_DEFINITE,MAT_SHIFT_INBLOCKS} MatFactorShiftType;
998 PETSC_EXTERN const char *const MatFactorShiftTypes[];
999 PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];
1000 
1001 /*S
1002     MatFactorError - indicates what type of error in matrix factor
1003 
1004     Level: beginner
1005 
1006     Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1007 S*/
1008 typedef enum {MAT_FACTOR_NOERROR,MAT_FACTOR_STRUCT_ZEROPIVOT,MAT_FACTOR_NUMERIC_ZEROPIVOT,MAT_FACTOR_OUTMEMORY,MAT_FACTOR_OTHER} MatFactorError;
1009 
1010 /*S
1011    MatFactorInfo - Data passed into the matrix factorization routines, and information about the resulting factorization
1012 
1013    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE, that is use
1014 $     MatFactorInfo  info(MAT_FACTORINFO_SIZE)
1015 
1016    Notes: These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
1017 
1018       You can use MatFactorInfoInitialize() to set default values.
1019 
1020    Level: developer
1021 
1022 .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor(),
1023           MatFactorInfoInitialize()
1024 
1025 S*/
1026 typedef struct {
1027   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
1028   PetscReal     usedt;
1029   PetscReal     dt;             /* drop tolerance */
1030   PetscReal     dtcol;          /* tolerance for pivoting */
1031   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
1032   PetscReal     fill;           /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1033   PetscReal     levels;         /* ICC/ILU(levels) */
1034   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1035                                    factorization may be faster if do not pivot */
1036   PetscReal     zeropivot;      /* pivot is called zero if less than this */
1037   PetscReal     shifttype;      /* type of shift added to matrix factor to prevent zero pivots */
1038   PetscReal     shiftamount;     /* how large the shift is */
1039 } MatFactorInfo;
1040 
1041 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo*);
1042 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat,IS,const MatFactorInfo*);
1043 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1044 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat,Mat,const MatFactorInfo*);
1045 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat,IS,IS,const MatFactorInfo*);
1046 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat,IS,IS,const MatFactorInfo*);
1047 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1048 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1049 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1050 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat,IS,const MatFactorInfo*);
1051 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat,Mat,const MatFactorInfo*);
1052 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat,PetscInt*,PetscInt*,PetscInt*);
1053 PETSC_EXTERN PetscErrorCode MatSolve(Mat,Vec,Vec);
1054 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat,Vec,Vec);
1055 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat,Vec,Vec);
1056 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat,Vec,Vec,Vec);
1057 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat,Vec,Vec);
1058 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
1059 PETSC_EXTERN PetscErrorCode MatSolves(Mat,Vecs,Vecs);
1060 PETSC_EXTERN PetscErrorCode MatFactorSetSchurIS(Mat,IS);
1061 PETSC_EXTERN PetscErrorCode MatFactorGetSchurComplement(Mat,Mat*);
1062 PETSC_EXTERN PetscErrorCode MatFactorRestoreSchurComplement(Mat,Mat*);
1063 PETSC_EXTERN PetscErrorCode MatFactorInvertSchurComplement(Mat);
1064 PETSC_EXTERN PetscErrorCode MatFactorCreateSchurComplement(Mat,Mat*);
1065 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplement(Mat,Vec,Vec);
1066 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplementTranspose(Mat,Vec,Vec);
1067 PETSC_EXTERN PetscErrorCode MatFactorFactorizeSchurComplement(Mat);
1068 PETSC_EXTERN PetscErrorCode MatFactorSetSchurComplementSolverType(Mat,PetscInt);
1069 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
1070 
1071 /*E
1072     MatSORType - What type of (S)SOR to perform
1073 
1074     Level: beginner
1075 
1076    May be bitwise ORd together
1077 
1078    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1079 
1080    MatSORType may be bitwise ORd together, so do not change the numbers
1081 
1082 .seealso: MatSOR()
1083 E*/
1084 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
1085               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
1086               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
1087               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
1088 PETSC_EXTERN PetscErrorCode MatSOR(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
1089 
1090 /*
1091     These routines are for efficiently computing Jacobians via finite differences.
1092 */
1093 
1094 /*S
1095      MatColoring - Object for managing the coloring of matrices.
1096 
1097    Level: beginner
1098 
1099   Concepts: matrix, coloring
1100 
1101 .seealso:  MatFDColoringCreate() ISColoring MatFDColoring
1102 S*/
1103 typedef struct _p_MatColoring* MatColoring;
1104 /*J
1105     MatColoringType - String with the name of a PETSc matrix coloring
1106 
1107    Level: beginner
1108 
1109 .seealso: MatColoringSetType(), MatColoring
1110 J*/
1111 
1112 typedef const  char*           MatColoringType;
1113 #define MATCOLORINGJP      "jp"
1114 #define MATCOLORINGPOWER   "power"
1115 #define MATCOLORINGNATURAL "natural"
1116 #define MATCOLORINGSL      "sl"
1117 #define MATCOLORINGLF      "lf"
1118 #define MATCOLORINGID      "id"
1119 #define MATCOLORINGGREEDY  "greedy"
1120 
1121 /*E
1122    MatColoringWeightType - Type of weight scheme
1123 
1124     Not Collective
1125 
1126 +   MAT_COLORING_RANDOM  - Random weights
1127 .   MAT_COLORING_LEXICAL - Lexical weighting based upon global numbering.
1128 -   MAT_COLORING_LF      - Last-first weighting.
1129 
1130     Level: intermediate
1131 
1132    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1133 
1134 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1135 E*/
1136 typedef enum {MAT_COLORING_WEIGHT_RANDOM,MAT_COLORING_WEIGHT_LEXICAL,MAT_COLORING_WEIGHT_LF,MAT_COLORING_WEIGHT_SL} MatColoringWeightType;
1137 
1138 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat,MatColoring*);
1139 PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat,PetscInt,PetscInt*);
1140 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring*);
1141 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring,PetscViewer);
1142 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring,MatColoringType);
1143 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1144 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring,PetscInt);
1145 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring,PetscInt*);
1146 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring,PetscInt);
1147 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring,PetscInt*);
1148 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring,ISColoring*);
1149 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[],PetscErrorCode(*)(MatColoring));
1150 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat,PetscInt,PetscInt,ISColoringValue[],ISColoring*);
1151 PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring,MatColoringWeightType);
1152 PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring,PetscReal*,PetscInt*);
1153 PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring,PetscReal **,PetscInt **lperm);
1154 
1155 /*S
1156      MatFDColoring - Object for computing a sparse Jacobian via finite differences
1157         and coloring
1158 
1159    Level: beginner
1160 
1161   Concepts: coloring, sparse Jacobian, finite differences
1162 
1163 .seealso:  MatFDColoringCreate()
1164 S*/
1165 typedef struct _p_MatFDColoring* MatFDColoring;
1166 
1167 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
1168 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring*);
1169 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring,PetscViewer);
1170 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring,PetscErrorCode (*)(void),void*);
1171 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring,PetscErrorCode (**)(void),void**);
1172 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
1173 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1174 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat,MatFDColoring,Vec,void *);
1175 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring,Vec);
1176 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring,PetscInt*,PetscInt*[]);
1177 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat,ISColoring,MatFDColoring);
1178 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring,PetscInt,PetscInt);
1179 
1180 
1181 /*S
1182      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring
1183 
1184    Level: beginner
1185 
1186   Concepts: coloring, sparse matrix product
1187 
1188 .seealso:  MatTransposeColoringCreate()
1189 S*/
1190 typedef struct _p_MatTransposeColoring* MatTransposeColoring;
1191 
1192 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat,ISColoring,MatTransposeColoring *);
1193 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring,Mat,Mat);
1194 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring,Mat,Mat);
1195 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring*);
1196 
1197 /*
1198     These routines are for partitioning matrices: currently used only
1199   for adjacency matrix, MatCreateMPIAdj().
1200 */
1201 
1202 /*S
1203      MatPartitioning - Object for managing the partitioning of a matrix or graph
1204 
1205    Level: beginner
1206 
1207   Concepts: partitioning
1208 
1209 .seealso:  MatPartitioningCreate(), MatPartitioningType
1210 S*/
1211 typedef struct _p_MatPartitioning* MatPartitioning;
1212 
1213 /*J
1214     MatPartitioningType - String with the name of a PETSc matrix partitioning
1215 
1216    Level: beginner
1217 dm
1218 .seealso: MatPartitioningCreate(), MatPartitioning
1219 J*/
1220 typedef const char* MatPartitioningType;
1221 #define MATPARTITIONINGCURRENT  "current"
1222 #define MATPARTITIONINGAVERAGE   "average"
1223 #define MATPARTITIONINGSQUARE   "square"
1224 #define MATPARTITIONINGPARMETIS "parmetis"
1225 #define MATPARTITIONINGCHACO    "chaco"
1226 #define MATPARTITIONINGPARTY    "party"
1227 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1228 #define MATPARTITIONINGHIERARCH  "hierarch"
1229 
1230 
1231 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1232 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning,MatPartitioningType);
1233 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning,PetscInt);
1234 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning,Mat);
1235 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning,const PetscInt[]);
1236 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1237 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning,IS*);
1238 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning*);
1239 
1240 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[],PetscErrorCode (*)(MatPartitioning));
1241 
1242 
1243 
1244 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning,PetscViewer);
1245 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1246 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
1247 
1248 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetRepartition(MatPartitioning part);
1249 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1250 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1251 
1252 typedef enum { MP_CHACO_MULTILEVEL=1,MP_CHACO_SPECTRAL=2,MP_CHACO_LINEAR=4,MP_CHACO_RANDOM=5,MP_CHACO_SCATTERED=6 } MPChacoGlobalType;
1253 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1254 typedef enum { MP_CHACO_KERNIGHAN=1,MP_CHACO_NONE=2 } MPChacoLocalType;
1255 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1256 typedef enum { MP_CHACO_LANCZOS=0,MP_CHACO_RQI=1 } MPChacoEigenType;
1257 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1258 
1259 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning,MPChacoGlobalType);
1260 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning,MPChacoGlobalType*);
1261 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning,MPChacoLocalType);
1262 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning,MPChacoLocalType*);
1263 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning,PetscReal);
1264 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning,MPChacoEigenType);
1265 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning,MPChacoEigenType*);
1266 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning,PetscReal);
1267 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning,PetscReal*);
1268 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning,PetscInt);
1269 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning,PetscInt*);
1270 
1271 #define MP_PARTY_OPT "opt"
1272 #define MP_PARTY_LIN "lin"
1273 #define MP_PARTY_SCA "sca"
1274 #define MP_PARTY_RAN "ran"
1275 #define MP_PARTY_GBF "gbf"
1276 #define MP_PARTY_GCF "gcf"
1277 #define MP_PARTY_BUB "bub"
1278 #define MP_PARTY_DEF "def"
1279 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning,const char*);
1280 #define MP_PARTY_HELPFUL_SETS "hs"
1281 #define MP_PARTY_KERNIGHAN_LIN "kl"
1282 #define MP_PARTY_NONE "no"
1283 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning,const char*);
1284 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning,PetscReal);
1285 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning,PetscBool);
1286 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning,PetscBool);
1287 
1288 typedef enum { MP_PTSCOTCH_QUALITY,MP_PTSCOTCH_SPEED,MP_PTSCOTCH_BALANCE,MP_PTSCOTCH_SAFETY,MP_PTSCOTCH_SCALABILITY } MPPTScotchStrategyType;
1289 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1290 
1291 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning,PetscReal);
1292 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning,PetscReal*);
1293 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning,MPPTScotchStrategyType);
1294 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning,MPPTScotchStrategyType*);
1295 
1296 /*
1297  * hierarchical partitioning
1298  */
1299 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetFineparts(MatPartitioning,IS*);
1300 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetCoarseparts(MatPartitioning,IS*);
1301 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNcoarseparts(MatPartitioning,PetscInt);
1302 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNfineparts(MatPartitioning, PetscInt);
1303 
1304 /*
1305     These routines are for coarsening matrices:
1306 */
1307 
1308 /*S
1309      MatCoarsen - Object for managing the coarsening of a graph (symmetric matrix)
1310 
1311    Level: beginner
1312 
1313   Concepts: coarsen
1314 
1315 .seealso:  MatCoarsenCreate), MatCoarsenType
1316 S*/
1317 typedef struct _p_MatCoarsen* MatCoarsen;
1318 
1319 /*J
1320     MatCoarsenType - String with the name of a PETSc matrix coarsen
1321 
1322    Level: beginner
1323 
1324 .seealso: MatCoarsenCreate(), MatCoarsen
1325 J*/
1326 typedef const char* MatCoarsenType;
1327 #define MATCOARSENMIS  "mis"
1328 #define MATCOARSENHEM  "hem"
1329 
1330 /* linked list for aggregates */
1331 typedef struct _PetscCDIntNd{
1332   struct _PetscCDIntNd *next;
1333   PetscInt             gid;
1334 }PetscCDIntNd;
1335 
1336 /* only used by node pool */
1337 typedef struct _PetscCDArrNd{
1338   struct _PetscCDArrNd *next;
1339   struct _PetscCDIntNd *array;
1340 }PetscCDArrNd;
1341 
1342 typedef struct _PetscCoarsenData{
1343   PetscCDArrNd pool_list;  /* node pool */
1344   PetscCDIntNd *new_node;
1345   PetscInt     new_left;
1346   PetscInt     chk_sz;
1347   PetscCDIntNd *extra_nodes;
1348   PetscCDIntNd **array;  /* Array of lists */
1349   PetscInt     size;
1350   Mat          mat;  /* cache a Mat for communication data */
1351 }PetscCoarsenData;
1352 
1353 PETSC_EXTERN PetscErrorCode MatCoarsenCreate(MPI_Comm,MatCoarsen*);
1354 PETSC_EXTERN PetscErrorCode MatCoarsenSetType(MatCoarsen,MatCoarsenType);
1355 PETSC_EXTERN PetscErrorCode MatCoarsenSetAdjacency(MatCoarsen,Mat);
1356 PETSC_EXTERN PetscErrorCode MatCoarsenSetGreedyOrdering(MatCoarsen,const IS);
1357 PETSC_EXTERN PetscErrorCode MatCoarsenSetStrictAggs(MatCoarsen,PetscBool);
1358 PETSC_EXTERN PetscErrorCode MatCoarsenGetData( MatCoarsen, PetscCoarsenData ** );
1359 PETSC_EXTERN PetscErrorCode MatCoarsenApply(MatCoarsen);
1360 PETSC_EXTERN PetscErrorCode MatCoarsenDestroy(MatCoarsen*);
1361 
1362 PETSC_EXTERN PetscErrorCode MatCoarsenRegister(const char[],PetscErrorCode (*)(MatCoarsen));
1363 
1364 
1365 
1366 PETSC_EXTERN PetscErrorCode MatCoarsenView(MatCoarsen,PetscViewer);
1367 PETSC_EXTERN PetscErrorCode MatCoarsenSetFromOptions(MatCoarsen);
1368 PETSC_EXTERN PetscErrorCode MatCoarsenGetType(MatCoarsen,MatCoarsenType*);
1369 PETSC_STATIC_INLINE PetscErrorCode MatCoarsenViewFromOptions(MatCoarsen A,PetscObject obj,const char name[]) {return PetscObjectViewFromOptions((PetscObject)A,obj,name);}
1370 
1371 PETSC_EXTERN PetscErrorCode MatMeshToVertexGraph(Mat,PetscInt,Mat*);
1372 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat,PetscInt,Mat*);
1373 
1374 /*
1375     If you add entries here you must also add them to petsc/finclude/petscmat.h
1376 */
1377 typedef enum { MATOP_SET_VALUES=0,
1378                MATOP_GET_ROW=1,
1379                MATOP_RESTORE_ROW=2,
1380                MATOP_MULT=3,
1381                MATOP_MULT_ADD=4,
1382                MATOP_MULT_TRANSPOSE=5,
1383                MATOP_MULT_TRANSPOSE_ADD=6,
1384                MATOP_SOLVE=7,
1385                MATOP_SOLVE_ADD=8,
1386                MATOP_SOLVE_TRANSPOSE=9,
1387                MATOP_SOLVE_TRANSPOSE_ADD=10,
1388                MATOP_LUFACTOR=11,
1389                MATOP_CHOLESKYFACTOR=12,
1390                MATOP_SOR=13,
1391                MATOP_TRANSPOSE=14,
1392                MATOP_GETINFO=15,
1393                MATOP_EQUAL=16,
1394                MATOP_GET_DIAGONAL=17,
1395                MATOP_DIAGONAL_SCALE=18,
1396                MATOP_NORM=19,
1397                MATOP_ASSEMBLY_BEGIN=20,
1398                MATOP_ASSEMBLY_END=21,
1399                MATOP_SET_OPTION=22,
1400                MATOP_ZERO_ENTRIES=23,
1401                MATOP_ZERO_ROWS=24,
1402                MATOP_LUFACTOR_SYMBOLIC=25,
1403                MATOP_LUFACTOR_NUMERIC=26,
1404                MATOP_CHOLESKY_FACTOR_SYMBOLIC=27,
1405                MATOP_CHOLESKY_FACTOR_NUMERIC=28,
1406                MATOP_SETUP_PREALLOCATION=29,
1407                MATOP_ILUFACTOR_SYMBOLIC=30,
1408                MATOP_ICCFACTOR_SYMBOLIC=31,
1409                /* MATOP_PLACEHOLDER_32=32, */
1410                /* MATOP_PLACEHOLDER_33=33, */
1411                MATOP_DUPLICATE=34,
1412                MATOP_FORWARD_SOLVE=35,
1413                MATOP_BACKWARD_SOLVE=36,
1414                MATOP_ILUFACTOR=37,
1415                MATOP_ICCFACTOR=38,
1416                MATOP_AXPY=39,
1417                MATOP_GET_SUBMATRICES=40,
1418                MATOP_INCREASE_OVERLAP=41,
1419                MATOP_GET_VALUES=42,
1420                MATOP_COPY=43,
1421                MATOP_GET_ROW_MAX=44,
1422                MATOP_SCALE=45,
1423                MATOP_SHIFT=46,
1424                MATOP_DIAGONAL_SET=47,
1425                MATOP_ZERO_ROWS_COLUMNS=48,
1426                MATOP_SET_RANDOM=49,
1427                MATOP_GET_ROW_IJ=50,
1428                MATOP_RESTORE_ROW_IJ=51,
1429                MATOP_GET_COLUMN_IJ=52,
1430                MATOP_RESTORE_COLUMN_IJ=53,
1431                MATOP_FDCOLORING_CREATE=54,
1432                MATOP_COLORING_PATCH=55,
1433                MATOP_SET_UNFACTORED=56,
1434                MATOP_PERMUTE=57,
1435                MATOP_SET_VALUES_BLOCKED=58,
1436                MATOP_GET_SUBMATRIX=59,
1437                MATOP_DESTROY=60,
1438                MATOP_VIEW=61,
1439                MATOP_CONVERT_FROM=62,
1440                MATOP_MATMAT_MULT=63,
1441                MATOP_MATMAT_MULT_SYMBOLIC=64,
1442                MATOP_MATMAT_MULT_NUMERIC=65,
1443                MATOP_SET_LOCAL_TO_GLOBAL_MAP=66,
1444                MATOP_SET_VALUES_LOCAL=67,
1445                MATOP_ZERO_ROWS_LOCAL=68,
1446                MATOP_GET_ROW_MAX_ABS=69,
1447                MATOP_GET_ROW_MIN_ABS=70,
1448                MATOP_CONVERT=71,
1449                MATOP_SET_COLORING=72,
1450                /* MATOP_PLACEHOLDER_73=73, */
1451                MATOP_SET_VALUES_ADIFOR=74,
1452                MATOP_FD_COLORING_APPLY=75,
1453                MATOP_SET_FROM_OPTIONS=76,
1454                MATOP_MULT_CONSTRAINED=77,
1455                MATOP_MULT_TRANSPOSE_CONSTRAIN=78,
1456                MATOP_FIND_ZERO_DIAGONALS=79,
1457                MATOP_MULT_MULTIPLE=80,
1458                MATOP_SOLVE_MULTIPLE=81,
1459                MATOP_GET_INERTIA=82,
1460                MATOP_LOAD=83,
1461                MATOP_IS_SYMMETRIC=84,
1462                MATOP_IS_HERMITIAN=85,
1463                MATOP_IS_STRUCTURALLY_SYMMETRIC=86,
1464                MATOP_SET_VALUES_BLOCKEDLOCAL=87,
1465                MATOP_GET_VECS=88,
1466                MATOP_MAT_MULT=89,
1467                MATOP_MAT_MULT_SYMBOLIC=90,
1468                MATOP_MAT_MULT_NUMERIC=91,
1469                MATOP_PTAP=92,
1470                MATOP_PTAP_SYMBOLIC=93,
1471                MATOP_PTAP_NUMERIC=94,
1472                MATOP_MAT_TRANSPOSE_MULT=95,
1473                MATOP_MAT_TRANSPOSE_MULT_SYMBO=96,
1474                MATOP_MAT_TRANSPOSE_MULT_NUMER=97,
1475                /* MATOP_PLACEHOLDER_98=98, */
1476                /* MATOP_PLACEHOLDER_99=99, */
1477                /* MATOP_PLACEHOLDER_100=100, */
1478                /* MATOP_PLACEHOLDER_101=101, */
1479                MATOP_CONJUGATE=102,
1480                /* MATOP_PLACEHOLDER_103=103, */
1481                MATOP_SET_VALUES_ROW=104,
1482                MATOP_REAL_PART=105,
1483                MATOP_IMAGINARY_PART=106,
1484                MATOP_GET_ROW_UPPER_TRIANGULAR=107,
1485                MATOP_RESTORE_ROW_UPPER_TRIANG=108,
1486                MATOP_MAT_SOLVE=109,
1487                MATOP_GET_REDUNDANT_MATRIX=110,
1488                MATOP_GET_ROW_MIN=111,
1489                MATOP_GET_COLUMN_VECTOR=112,
1490                MATOP_MISSING_DIAGONAL=113,
1491                MATOP_GET_SEQ_NONZERO_STRUCTUR=114,
1492                MATOP_CREATE=115,
1493                MATOP_GET_GHOSTS=116,
1494                MATOP_GET_LOCAL_SUB_MATRIX=117,
1495                MATOP_RESTORE_LOCALSUB_MATRIX=118,
1496                MATOP_MULT_DIAGONAL_BLOCK=119,
1497                MATOP_HERMITIAN_TRANSPOSE=120,
1498                MATOP_MULT_HERMITIAN_TRANSPOSE=121,
1499                MATOP_MULT_HERMITIAN_TRANS_ADD=122,
1500                MATOP_GET_MULTI_PROC_BLOCK=123,
1501                MATOP_FIND_NONZERO_ROWS=124,
1502                MATOP_GET_COLUMN_NORMS=125,
1503                MATOP_INVERT_BLOCK_DIAGONAL=126,
1504                /* MATOP_PLACEHOLDER_127=127, */
1505                MATOP_GET_SUB_MATRICES_PARALLE=128,
1506                MATOP_SET_VALUES_BATCH=129,
1507                MATOP_TRANSPOSE_MAT_MULT=130,
1508                MATOP_TRANSPOSE_MAT_MULT_SYMBO=131,
1509                MATOP_TRANSPOSE_MAT_MULT_NUMER=132,
1510                MATOP_TRANSPOSE_COLORING_CREAT=133,
1511                MATOP_TRANS_COLORING_APPLY_SPT=134,
1512                MATOP_TRANS_COLORING_APPLY_DEN=135,
1513                MATOP_RART=136,
1514                MATOP_RART_SYMBOLIC=137,
1515                MATOP_RART_NUMERIC=138,
1516                MATOP_SET_BLOCK_SIZES=139,
1517                MATOP_AYPX=140,
1518                MATOP_RESIDUAL=141,
1519                MATOP_FDCOLORING_SETUP=142,
1520                MATOP_MPICONCATENATESEQ=144
1521              } MatOperation;
1522 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat,MatOperation,PetscBool *);
1523 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat,MatOperation,void(*)(void));
1524 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat,MatOperation,void(**)(void));
1525 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat,void*);
1526 
1527 /*
1528    Codes for matrices stored on disk. By default they are
1529    stored in a universal format. By changing the format with
1530    PetscViewerPushFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
1531    be stored in a way natural for the matrix, for example dense matrices
1532    would be stored as dense. Matrices stored this way may only be
1533    read into matrices of the same type.
1534 */
1535 #define MATRIX_BINARY_FORMAT_DENSE -1
1536 
1537 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1538 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat,Mat*);
1539 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat,Mat);
1540 PETSC_EXTERN PetscErrorCode MatISGetMPIXAIJ(Mat,MatReuse,Mat*);
1541 
1542 /*S
1543      MatNullSpace - Object that removes a null space from a vector, i.e.
1544          orthogonalizes the vector to a subsapce
1545 
1546    Level: advanced
1547 
1548   Concepts: matrix; linear operator, null space
1549 
1550   Users manual sections:
1551 .   sec_singular
1552 
1553 .seealso:  MatNullSpaceCreate()
1554 S*/
1555 typedef struct _p_MatNullSpace* MatNullSpace;
1556 
1557 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm,PetscBool ,PetscInt,const Vec[],MatNullSpace*);
1558 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace,PetscErrorCode (*)(MatNullSpace,Vec,void*),void*);
1559 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace*);
1560 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace,Vec);
1561 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
1562 PETSC_EXTERN PetscErrorCode MatGetTransposeNullSpace(Mat, MatNullSpace *);
1563 PETSC_EXTERN PetscErrorCode MatSetTransposeNullSpace(Mat,MatNullSpace);
1564 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat,MatNullSpace);
1565 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat,MatNullSpace);
1566 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat,MatNullSpace*);
1567 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace,Mat,PetscBool  *);
1568 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace,PetscViewer);
1569 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace,PetscBool*,PetscInt*,const Vec**);
1570 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec,MatNullSpace*);
1571 
1572 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat,IS);
1573 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1574 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat,PetscInt *);
1575 PETSC_EXTERN PetscErrorCode MatSeqBAIJInvertBlockDiagonal(Mat);
1576 
1577 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat,PetscInt,Mat*);
1578 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat,PetscInt,Mat*);
1579 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat,Mat*);
1580 
1581 PETSC_EXTERN PetscErrorCode MatComputeExplicitOperator(Mat,Mat*);
1582 
1583 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat,Vec);
1584 
1585 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
1586 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat,Vec,Vec);
1587 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat,PetscErrorCode(*)(void*,Vec,Vec),void*);
1588 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat,PetscErrorCode (*)(void*,PetscInt,Vec,PetscScalar*));
1589 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat,PetscErrorCode (*)(void*,Vec));
1590 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat,PetscScalar[],PetscInt);
1591 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
1592 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat,PetscReal);
1593 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat,PetscInt);
1594 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat,PetscScalar *);
1595 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat,const char[]);
1596 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void*,Vec,Vec,PetscScalar*);
1597 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat,PetscErrorCode (*)(void*,Vec,Vec,PetscScalar*),void*);
1598 
1599 /*S
1600     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
1601               Jacobian vector products
1602 
1603     Notes: MATMFFD is a specific MatType which uses the MatMFFD data structure
1604 
1605            MatMFFD*() methods actually take the Mat as their first argument. Not a MatMFFD data structure
1606 
1607     Level: developer
1608 
1609 .seealso: MATMFFD, MatCreateMFFD(), MatMFFDSetFuction(), MatMFFDSetType(), MatMFFDRegister()
1610 S*/
1611 typedef struct _p_MatMFFD* MatMFFD;
1612 
1613 /*J
1614     MatMFFDType - algorithm used to compute the h used in computing matrix-vector products via differencing of the function
1615 
1616    Level: beginner
1617 
1618 .seealso: MatMFFDSetType(), MatMFFDRegister()
1619 J*/
1620 typedef const char* MatMFFDType;
1621 #define MATMFFD_DS  "ds"
1622 #define MATMFFD_WP  "wp"
1623 
1624 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat,MatMFFDType);
1625 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[],PetscErrorCode (*)(MatMFFD));
1626 
1627 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat,PetscReal);
1628 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat,PetscBool );
1629 
1630 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
1631 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
1632 
1633 /*
1634    PETSc interface to MUMPS
1635 */
1636 #ifdef PETSC_HAVE_MUMPS
1637 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat,PetscInt,PetscInt);
1638 PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat,PetscInt,PetscInt*);
1639 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat,PetscInt,PetscReal);
1640 PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat,PetscInt,PetscReal*);
1641 
1642 PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat,PetscInt,PetscInt*);
1643 PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat,PetscInt,PetscInt*);
1644 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat,PetscInt,PetscReal*);
1645 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat,PetscInt,PetscReal*);
1646 #endif
1647 
1648 /*
1649    PETSc interface to Mkl_Pardiso
1650 */
1651 #ifdef PETSC_HAVE_MKL_PARDISO
1652 PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat,PetscInt,PetscInt);
1653 #endif
1654 
1655 /*
1656    PETSc interface to Mkl_CPardiso
1657 */
1658 #ifdef PETSC_HAVE_MKL_CPARDISO
1659 PETSC_EXTERN PetscErrorCode MatMkl_CPardisoSetCntl(Mat,PetscInt,PetscInt);
1660 #endif
1661 
1662 /*
1663    PETSc interface to SUPERLU
1664 */
1665 #ifdef PETSC_HAVE_SUPERLU
1666 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat,PetscReal);
1667 #endif
1668 
1669 #ifdef PETSC_HAVE_CUDA
1670 /*E
1671     MatCUSPARSEStorageFormat - indicates the storage format for CUSPARSE (GPU)
1672     matrices.
1673 
1674     Not Collective
1675 
1676 +   MAT_CUSPARSE_CSR - Compressed Sparse Row
1677 .   MAT_CUSPARSE_ELL - Ellpack (requires CUDA 4.2 or later).
1678 -   MAT_CUSPARSE_HYB - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
1679 
1680     Level: intermediate
1681 
1682    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1683 
1684 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEFormatOperation
1685 E*/
1686 
1687 typedef enum {MAT_CUSPARSE_CSR, MAT_CUSPARSE_ELL, MAT_CUSPARSE_HYB} MatCUSPARSEStorageFormat;
1688 
1689 /* these will be strings associated with enumerated type defined above */
1690 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
1691 
1692 /*E
1693     MatCUSPARSEFormatOperation - indicates the operation of CUSPARSE (GPU)
1694     matrices whose operation should use a particular storage format.
1695 
1696     Not Collective
1697 
1698 +   MAT_CUSPARSE_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1699 .   MAT_CUSPARSE_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1700 .   MAT_CUSPARSE_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1701 -   MAT_CUSPARSE_ALL - sets the storage format for all CUSPARSE (GPU) matrices
1702 
1703     Level: intermediate
1704 
1705 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEStorageFormat
1706 E*/
1707 typedef enum {MAT_CUSPARSE_MULT_DIAG, MAT_CUSPARSE_MULT_OFFDIAG, MAT_CUSPARSE_MULT, MAT_CUSPARSE_ALL} MatCUSPARSEFormatOperation;
1708 
1709 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1710 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1711 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat,MatCUSPARSEFormatOperation,MatCUSPARSEStorageFormat);
1712 #endif
1713 
1714 #if defined(PETSC_HAVE_CUSP)
1715 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1716 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1717 
1718 /*E
1719     MatCUSPStorageFormat - indicates the storage format for CUSP (GPU)
1720     matrices.
1721 
1722     Not Collective
1723 
1724 +   MAT_CUSP_CSR - Compressed Sparse Row
1725 .   MAT_CUSP_DIA - Diagonal
1726 -   MAT_CUSP_ELL - Ellpack
1727 
1728     Level: intermediate
1729 
1730    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1731 
1732 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1733 E*/
1734 typedef enum {MAT_CUSP_CSR, MAT_CUSP_DIA, MAT_CUSP_ELL} MatCUSPStorageFormat;
1735 
1736 /* these will be strings associated with enumerated type defined above */
1737 PETSC_EXTERN const char *const MatCUSPStorageFormats[];
1738 
1739 /*E
1740     MatCUSPFormatOperation - indicates the operation of CUSP (GPU)
1741     matrices whose operation should use a particular storage format.
1742 
1743     Not Collective
1744 
1745 +   MAT_CUSP_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1746 .   MAT_CUSP_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1747 .   MAT_CUSP_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1748 -   MAT_CUSP_ALL - sets the storage format for all CUSP (GPU) matrices
1749 
1750     Level: intermediate
1751 
1752    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1753 
1754 .seealso: MatCUSPSetFormat(), MatCUSPStorageFormat
1755 E*/
1756 typedef enum {MAT_CUSP_MULT_DIAG, MAT_CUSP_MULT_OFFDIAG, MAT_CUSP_MULT, MAT_CUSP_ALL} MatCUSPFormatOperation;
1757 
1758 PETSC_EXTERN PetscErrorCode MatCUSPSetFormat(Mat,MatCUSPFormatOperation,MatCUSPStorageFormat);
1759 #endif
1760 
1761 #if defined(PETSC_HAVE_VIENNACL)
1762 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1763 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1764 #endif
1765 
1766 /*
1767    PETSc interface to FFTW
1768 */
1769 #if defined(PETSC_HAVE_FFTW)
1770 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat,Vec,Vec);
1771 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat,Vec,Vec);
1772 PETSC_EXTERN PetscErrorCode MatCreateVecsFFTW(Mat,Vec*,Vec*,Vec*);
1773 #endif
1774 
1775 /*
1776    PETSc interface to ELEMENTAL
1777 */
1778 #if defined(PETSC_HAVE_ELEMENTAL)
1779 #if defined(PETSC_USE_COMPLEX)
1780 typedef El::Complex<PetscReal> PetscElemScalar;
1781 #else
1782 typedef PetscScalar PetscElemScalar;
1783 #endif
1784 PETSC_EXTERN PetscErrorCode PetscElementalInitializePackage(void);
1785 PETSC_EXTERN PetscErrorCode PetscElementalFinalizePackage(void);
1786 #endif
1787 
1788 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm,PetscInt,const IS[],PetscInt,const IS[],const Mat[],Mat*);
1789 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat,PetscInt*,PetscInt*);
1790 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat,IS[],IS[]);
1791 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat,IS[],IS[]);
1792 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat,PetscInt*,PetscInt*,Mat***);
1793 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat,PetscInt,PetscInt,Mat*);
1794 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat,VecType);
1795 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat,PetscInt,const IS[],PetscInt,const IS[],const Mat[]);
1796 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat,PetscInt,PetscInt,Mat);
1797 
1798 PETSC_EXTERN PetscErrorCode MatChop(Mat,PetscReal);
1799 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat,PetscReal,PetscInt*);
1800 
1801 PETSC_EXTERN PetscErrorCode MatSubdomainsCreateCoalesce(Mat,PetscInt,PetscInt*,IS**);
1802 
1803 PETSC_EXTERN PetscErrorCode MatPreallocatorPreallocate(Mat,PetscBool,Mat);
1804 
1805 #endif
1806