xref: /petsc/include/petscmat.h (revision 4fc747eaadbeca11629f314a99edccbc2ed7b3d3)
1 /*
2      Include file for the matrix component of PETSc
3 */
4 #ifndef __PETSCMAT_H
5 #define __PETSCMAT_H
6 #include <petscvec.h>
7 
8 /*S
9      Mat - Abstract PETSc matrix object used to manage all linear operators in PETSc, even those without
10            an explicit sparse representation (such as matrix-free operators)
11 
12    Level: beginner
13 
14   Concepts: matrix; linear operator
15 
16 .seealso:  MatCreate(), MatType, MatSetType(), MatDestroy()
17 S*/
18 typedef struct _p_Mat*           Mat;
19 
20 /*J
21     MatType - String with the name of a PETSc matrix type
22 
23    Level: beginner
24 
25 .seealso: MatSetType(), Mat, MatSolverPackage, MatRegister()
26 J*/
27 typedef const char* MatType;
28 #define MATSAME            "same"
29 #define MATMAIJ            "maij"
30 #define MATSEQMAIJ         "seqmaij"
31 #define MATMPIMAIJ         "mpimaij"
32 #define MATIS              "is"
33 #define MATAIJ             "aij"
34 #define MATSEQAIJ          "seqaij"
35 #define MATMPIAIJ          "mpiaij"
36 #define MATAIJCRL          "aijcrl"
37 #define MATSEQAIJCRL       "seqaijcrl"
38 #define MATMPIAIJCRL       "mpiaijcrl"
39 #define MATAIJCUSP         "aijcusp"
40 #define MATSEQAIJCUSP      "seqaijcusp"
41 #define MATMPIAIJCUSP      "mpiaijcusp"
42 #define MATAIJCUSPARSE     "aijcusparse"
43 #define MATSEQAIJCUSPARSE  "seqaijcusparse"
44 #define MATMPIAIJCUSPARSE  "mpiaijcusparse"
45 #define MATAIJVIENNACL     "aijviennacl"
46 #define MATSEQAIJVIENNACL  "seqaijviennacl"
47 #define MATMPIAIJVIENNACL  "mpiaijviennacl"
48 #define MATAIJPERM         "aijperm"
49 #define MATSEQAIJPERM      "seqaijperm"
50 #define MATMPIAIJPERM      "mpiaijperm"
51 #define MATSHELL           "shell"
52 #define MATDENSE           "dense"
53 #define MATSEQDENSE        "seqdense"
54 #define MATMPIDENSE        "mpidense"
55 #define MATELEMENTAL       "elemental"
56 #define MATBAIJ            "baij"
57 #define MATSEQBAIJ         "seqbaij"
58 #define MATMPIBAIJ         "mpibaij"
59 #define MATMPIADJ          "mpiadj"
60 #define MATSBAIJ           "sbaij"
61 #define MATSEQSBAIJ        "seqsbaij"
62 #define MATMPISBAIJ        "mpisbaij"
63 #define MATDAAD            "daad"
64 #define MATMFFD            "mffd"
65 #define MATNORMAL          "normal"
66 #define MATNORMALHERMITIAN "normalh"
67 #define MATLRC             "lrc"
68 #define MATSCATTER         "scatter"
69 #define MATBLOCKMAT        "blockmat"
70 #define MATCOMPOSITE       "composite"
71 #define MATFFT             "fft"
72 #define MATFFTW            "fftw"
73 #define MATSEQCUFFT        "seqcufft"
74 #define MATTRANSPOSEMAT    "transpose"
75 #define MATSCHURCOMPLEMENT "schurcomplement"
76 #define MATPYTHON          "python"
77 #define MATHYPRESTRUCT     "hyprestruct"
78 #define MATHYPRESSTRUCT    "hypresstruct"
79 #define MATSUBMATRIX       "submatrix"
80 #define MATLOCALREF        "localref"
81 #define MATNEST            "nest"
82 #define MATPREALLOCATOR    "preallocator"
83 
84 /*J
85     MatSolverPackage - String with the name of a PETSc matrix solver type.
86 
87     For example: "petsc" indicates what PETSc provides, "superlu_dist" the parallel SuperLU_DIST package etc
88 
89    Level: beginner
90 
91 .seealso: MatGetFactor(), Mat, MatSetType(), MatType
92 J*/
93 #define MatSolverPackage char*
94 #define MATSOLVERSUPERLU      "superlu"
95 #define MATSOLVERSUPERLU_DIST "superlu_dist"
96 #define MATSOLVERSTRUMPACK    "strumpack"
97 #define MATSOLVERUMFPACK      "umfpack"
98 #define MATSOLVERCHOLMOD      "cholmod"
99 #define MATSOLVERKLU          "klu"
100 #define MATSOLVERCLIQUE       "clique"
101 #define MATSOLVERELEMENTAL    "elemental"
102 #define MATSOLVERESSL         "essl"
103 #define MATSOLVERLUSOL        "lusol"
104 #define MATSOLVERMUMPS        "mumps"
105 #define MATSOLVERMKL_PARDISO  "mkl_pardiso"
106 #define MATSOLVERMKL_CPARDISO "mkl_cpardiso"
107 #define MATSOLVERPASTIX       "pastix"
108 #define MATSOLVERMATLAB       "matlab"
109 #define MATSOLVERPETSC        "petsc"
110 #define MATSOLVERBAS          "bas"
111 #define MATSOLVERCUSPARSE     "cusparse"
112 
113 /*E
114     MatFactorType - indicates what type of factorization is requested
115 
116     Level: beginner
117 
118    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
119 
120 .seealso: MatSolverPackage, MatGetFactor()
121 E*/
122 typedef enum {MAT_FACTOR_NONE, MAT_FACTOR_LU, MAT_FACTOR_CHOLESKY, MAT_FACTOR_ILU, MAT_FACTOR_ICC,MAT_FACTOR_ILUDT} MatFactorType;
123 PETSC_EXTERN const char *const MatFactorTypes[];
124 
125 PETSC_EXTERN PetscErrorCode MatGetFactor(Mat,const MatSolverPackage,MatFactorType,Mat*);
126 PETSC_EXTERN PetscErrorCode MatGetFactorAvailable(Mat,const MatSolverPackage,MatFactorType,PetscBool *);
127 PETSC_EXTERN PetscErrorCode MatFactorGetSolverPackage(Mat,const MatSolverPackage*);
128 PETSC_EXTERN PetscErrorCode MatGetFactorType(Mat,MatFactorType*);
129 PETSC_EXTERN PetscErrorCode MatSolverPackageRegister(const MatSolverPackage,const MatType,MatFactorType,PetscErrorCode(*)(Mat,MatFactorType,Mat*));
130 PETSC_EXTERN PetscErrorCode MatSolverPackageGet(const MatSolverPackage,const MatType,MatFactorType,PetscBool*,PetscBool*,PetscErrorCode (**)(Mat,MatFactorType,Mat*));
131 
132 /* Logging support */
133 #define    MAT_FILE_CLASSID 1211216    /* used to indicate matrices in binary files */
134 PETSC_EXTERN PetscClassId MAT_CLASSID;
135 PETSC_EXTERN PetscClassId MAT_COLORING_CLASSID;
136 PETSC_EXTERN PetscClassId MAT_FDCOLORING_CLASSID;
137 PETSC_EXTERN PetscClassId MAT_TRANSPOSECOLORING_CLASSID;
138 PETSC_EXTERN PetscClassId MAT_PARTITIONING_CLASSID;
139 PETSC_EXTERN PetscClassId MAT_COARSEN_CLASSID;
140 PETSC_EXTERN PetscClassId MAT_NULLSPACE_CLASSID;
141 PETSC_EXTERN PetscClassId MATMFFD_CLASSID;
142 
143 /*E
144     MatReuse - Indicates if matrices obtained from a previous call to MatGetSubMatrices()
145      or MatGetSubMatrix() are to be reused to store the new matrix values. For MatConvert() is used to indicate
146      that the input matrix is to be replaced with the converted matrix.
147 
148     Level: beginner
149 
150    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
151 
152 .seealso: MatGetSubMatrices(), MatGetSubMatrix(), MatDestroyMatrices(), MatConvert()
153 E*/
154 typedef enum {MAT_INITIAL_MATRIX,MAT_REUSE_MATRIX,MAT_IGNORE_MATRIX,MAT_INPLACE_MATRIX} MatReuse;
155 
156 /*E
157     MatGetSubMatrixOption - Indicates if matrices obtained from a call to MatGetSubMatrices()
158      include the matrix values. Currently it is only used by MatGetSeqNonzerostructure().
159 
160     Level: beginner
161 
162 .seealso: MatGetSeqNonzerostructure()
163 E*/
164 typedef enum {MAT_DO_NOT_GET_VALUES,MAT_GET_VALUES} MatGetSubMatrixOption;
165 
166 PETSC_EXTERN PetscErrorCode MatInitializePackage(void);
167 
168 PETSC_EXTERN PetscErrorCode MatCreate(MPI_Comm,Mat*);
169 PETSC_EXTERN PetscErrorCode MatSetSizes(Mat,PetscInt,PetscInt,PetscInt,PetscInt);
170 PETSC_EXTERN PetscErrorCode MatSetType(Mat,MatType);
171 PETSC_EXTERN PetscErrorCode MatSetFromOptions(Mat);
172 PETSC_STATIC_INLINE PetscErrorCode MatViewFromOptions(Mat A,PetscObject obj,const char name[]) {return PetscObjectViewFromOptions((PetscObject)A,obj,name);}
173 PETSC_EXTERN PetscErrorCode MatRegister(const char[],PetscErrorCode(*)(Mat));
174 PETSC_EXTERN PetscErrorCode MatRegisterBaseName(const char[],const char[],const char[]);
175 PETSC_EXTERN PetscErrorCode MatSetOptionsPrefix(Mat,const char[]);
176 PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefix(Mat,const char[]);
177 PETSC_EXTERN PetscErrorCode MatGetOptionsPrefix(Mat,const char*[]);
178 PETSC_EXTERN PetscErrorCode MatSetErrorIfFailure(Mat,PetscBool);
179 
180 PETSC_EXTERN PetscFunctionList MatList;
181 PETSC_EXTERN PetscFunctionList MatColoringList;
182 PETSC_EXTERN PetscFunctionList MatPartitioningList;
183 PETSC_EXTERN PetscFunctionList MatCoarsenList;
184 
185 /*E
186     MatStructure - Indicates if two matrices have the same nonzero structure
187 
188     Level: beginner
189 
190    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
191 
192 .seealso: MatCopy(), MatAXPY()
193 E*/
194 typedef enum {DIFFERENT_NONZERO_PATTERN,SUBSET_NONZERO_PATTERN,SAME_NONZERO_PATTERN} MatStructure;
195 
196 PETSC_EXTERN PetscErrorCode MatCreateSeqDense(MPI_Comm,PetscInt,PetscInt,PetscScalar[],Mat*);
197 PETSC_EXTERN PetscErrorCode MatCreateDense(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar[],Mat*);
198 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
199 PETSC_EXTERN PetscErrorCode MatCreateAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
200 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
201 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSplitArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],PetscInt[],PetscInt[],PetscScalar[],Mat*);
202 
203 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
204 PETSC_EXTERN PetscErrorCode MatCreateBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
205 PETSC_EXTERN PetscErrorCode MatCreateMPIBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat*);
206 
207 PETSC_EXTERN PetscErrorCode MatCreateMPIAdj(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscInt[],Mat*);
208 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
209 
210 PETSC_EXTERN PetscErrorCode MatCreateSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
211 PETSC_EXTERN PetscErrorCode MatCreateMPISBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
212 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
213 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
214 PETSC_EXTERN PetscErrorCode MatXAIJSetPreallocation(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscInt[],const PetscInt[]);
215 
216 PETSC_EXTERN PetscErrorCode MatCreateShell(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,void *,Mat*);
217 PETSC_EXTERN PetscErrorCode MatCreateNormal(Mat,Mat*);
218 PETSC_EXTERN PetscErrorCode MatCreateNormalHermitian(Mat,Mat*);
219 PETSC_EXTERN PetscErrorCode MatCreateLRC(Mat,Mat,Mat,Mat*);
220 PETSC_EXTERN PetscErrorCode MatCreateIS(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,ISLocalToGlobalMapping,ISLocalToGlobalMapping,Mat*);
221 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
222 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
223 
224 PETSC_EXTERN PetscErrorCode MatCreateScatter(MPI_Comm,VecScatter,Mat*);
225 PETSC_EXTERN PetscErrorCode MatScatterSetVecScatter(Mat,VecScatter);
226 PETSC_EXTERN PetscErrorCode MatScatterGetVecScatter(Mat,VecScatter*);
227 PETSC_EXTERN PetscErrorCode MatCreateBlockMat(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt*,Mat*);
228 PETSC_EXTERN PetscErrorCode MatCompositeAddMat(Mat,Mat);
229 PETSC_EXTERN PetscErrorCode MatCompositeMerge(Mat);
230 PETSC_EXTERN PetscErrorCode MatCreateComposite(MPI_Comm,PetscInt,const Mat*,Mat*);
231 typedef enum {MAT_COMPOSITE_ADDITIVE,MAT_COMPOSITE_MULTIPLICATIVE} MatCompositeType;
232 PETSC_EXTERN PetscErrorCode MatCompositeSetType(Mat,MatCompositeType);
233 
234 PETSC_EXTERN PetscErrorCode MatCreateFFT(MPI_Comm,PetscInt,const PetscInt[],MatType,Mat*);
235 PETSC_EXTERN PetscErrorCode MatCreateSeqCUFFT(MPI_Comm,PetscInt,const PetscInt[],Mat*);
236 
237 PETSC_EXTERN PetscErrorCode MatCreateTranspose(Mat,Mat*);
238 PETSC_EXTERN PetscErrorCode MatCreateHermitianTranspose(Mat,Mat*);
239 PETSC_EXTERN PetscErrorCode MatCreateSubMatrix(Mat,IS,IS,Mat*);
240 PETSC_EXTERN PetscErrorCode MatSubMatrixUpdate(Mat,Mat,IS,IS);
241 PETSC_EXTERN PetscErrorCode MatCreateLocalRef(Mat,IS,IS,Mat*);
242 
243 PETSC_EXTERN PetscErrorCode MatPythonSetType(Mat,const char[]);
244 
245 PETSC_EXTERN PetscErrorCode MatSetUp(Mat);
246 PETSC_EXTERN PetscErrorCode MatDestroy(Mat*);
247 PETSC_EXTERN PetscErrorCode MatGetNonzeroState(Mat,PetscObjectState*);
248 
249 PETSC_EXTERN PetscErrorCode MatConjugate(Mat);
250 PETSC_EXTERN PetscErrorCode MatRealPart(Mat);
251 PETSC_EXTERN PetscErrorCode MatImaginaryPart(Mat);
252 PETSC_EXTERN PetscErrorCode MatGetDiagonalBlock(Mat,Mat*);
253 PETSC_EXTERN PetscErrorCode MatGetTrace(Mat,PetscScalar*);
254 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonal(Mat,const PetscScalar **);
255 
256 /* ------------------------------------------------------------*/
257 PETSC_EXTERN PetscErrorCode MatSetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
258 PETSC_EXTERN PetscErrorCode MatSetValuesBlocked(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
259 PETSC_EXTERN PetscErrorCode MatSetValuesRow(Mat,PetscInt,const PetscScalar[]);
260 PETSC_EXTERN PetscErrorCode MatSetValuesRowLocal(Mat,PetscInt,const PetscScalar[]);
261 PETSC_EXTERN PetscErrorCode MatSetValuesBatch(Mat,PetscInt,PetscInt,PetscInt[],const PetscScalar[]);
262 PETSC_EXTERN PetscErrorCode MatSetRandom(Mat,PetscRandom);
263 
264 /*S
265      MatStencil - Data structure (C struct) for storing information about a single row or
266         column of a matrix as indexed on an associated grid.
267 
268    Fortran usage is different, see MatSetValuesStencil() for details.
269 
270    Level: beginner
271 
272   Concepts: matrix; linear operator
273 
274 .seealso:  MatSetValuesStencil(), MatSetStencil(), MatSetValuesBlockedStencil()
275 S*/
276 typedef struct {
277   PetscInt k,j,i,c;
278 } MatStencil;
279 
280 PETSC_EXTERN PetscErrorCode MatSetValuesStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
281 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
282 PETSC_EXTERN PetscErrorCode MatSetStencil(Mat,PetscInt,const PetscInt[],const PetscInt[],PetscInt);
283 
284 PETSC_EXTERN PetscErrorCode MatSetColoring(Mat,ISColoring);
285 PETSC_EXTERN PetscErrorCode MatSetValuesAdifor(Mat,PetscInt,void*);
286 
287 /*E
288     MatAssemblyType - Indicates if the matrix is now to be used, or if you plan
289      to continue to add values to it
290 
291     Level: beginner
292 
293 .seealso: MatAssemblyBegin(), MatAssemblyEnd()
294 E*/
295 typedef enum {MAT_FLUSH_ASSEMBLY=1,MAT_FINAL_ASSEMBLY=0} MatAssemblyType;
296 PETSC_EXTERN PetscErrorCode MatAssemblyBegin(Mat,MatAssemblyType);
297 PETSC_EXTERN PetscErrorCode MatAssemblyEnd(Mat,MatAssemblyType);
298 PETSC_EXTERN PetscErrorCode MatAssembled(Mat,PetscBool *);
299 
300 
301 
302 /*E
303     MatOption - Options that may be set for a matrix and its behavior or storage
304 
305     Level: beginner
306 
307    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
308 
309    Developer Notes: Entries that are negative need not be called collectively by all processes.
310 
311 .seealso: MatSetOption()
312 E*/
313 typedef enum {MAT_OPTION_MIN = -3,
314               MAT_UNUSED_NONZERO_LOCATION_ERR = -2,
315               MAT_ROW_ORIENTED = -1,
316               MAT_SYMMETRIC = 1,
317               MAT_STRUCTURALLY_SYMMETRIC = 2,
318               MAT_NEW_DIAGONALS = 3,
319               MAT_IGNORE_OFF_PROC_ENTRIES = 4,
320               MAT_USE_HASH_TABLE = 5,
321               MAT_KEEP_NONZERO_PATTERN = 6,
322               MAT_IGNORE_ZERO_ENTRIES = 7,
323               MAT_USE_INODES = 8,
324               MAT_HERMITIAN = 9,
325               MAT_SYMMETRY_ETERNAL = 10,
326               MAT_NEW_NONZERO_LOCATION_ERR = 11,
327               MAT_IGNORE_LOWER_TRIANGULAR = 12,
328               MAT_ERROR_LOWER_TRIANGULAR = 13,
329               MAT_GETROW_UPPERTRIANGULAR = 14,
330               MAT_SPD = 15,
331               MAT_NO_OFF_PROC_ZERO_ROWS = 16,
332               MAT_NO_OFF_PROC_ENTRIES = 17,
333               MAT_NEW_NONZERO_LOCATIONS = 18,
334               MAT_NEW_NONZERO_ALLOCATION_ERR = 19,
335               MAT_SUBSET_OFF_PROC_ENTRIES = 20,
336               MAT_OPTION_MAX = 21} MatOption;
337 
338 PETSC_EXTERN const char *MatOptions[];
339 PETSC_EXTERN PetscErrorCode MatSetOption(Mat,MatOption,PetscBool);
340 PETSC_EXTERN PetscErrorCode MatGetOption(Mat,MatOption,PetscBool*);
341 PETSC_EXTERN PetscErrorCode MatGetType(Mat,MatType*);
342 
343 PETSC_EXTERN PetscErrorCode MatGetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar[]);
344 PETSC_EXTERN PetscErrorCode MatGetRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
345 PETSC_EXTERN PetscErrorCode MatRestoreRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
346 PETSC_EXTERN PetscErrorCode MatGetRowUpperTriangular(Mat);
347 PETSC_EXTERN PetscErrorCode MatRestoreRowUpperTriangular(Mat);
348 PETSC_EXTERN PetscErrorCode MatGetColumn(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
349 PETSC_EXTERN PetscErrorCode MatRestoreColumn(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
350 PETSC_EXTERN PetscErrorCode MatGetColumnVector(Mat,Vec,PetscInt);
351 PETSC_EXTERN PetscErrorCode MatSeqAIJGetArray(Mat,PetscScalar *[]);
352 PETSC_EXTERN PetscErrorCode MatSeqAIJRestoreArray(Mat,PetscScalar *[]);
353 PETSC_EXTERN PetscErrorCode MatSeqAIJGetMaxRowNonzeros(Mat,PetscInt*);
354 PETSC_EXTERN PetscErrorCode MatSeqAIJSetValuesLocalFast(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
355 PETSC_EXTERN PetscErrorCode MatDenseGetArray(Mat,PetscScalar *[]);
356 PETSC_EXTERN PetscErrorCode MatDenseRestoreArray(Mat,PetscScalar *[]);
357 PETSC_EXTERN PetscErrorCode MatGetBlockSize(Mat,PetscInt *);
358 PETSC_EXTERN PetscErrorCode MatSetBlockSize(Mat,PetscInt);
359 PETSC_EXTERN PetscErrorCode MatGetBlockSizes(Mat,PetscInt *,PetscInt *);
360 PETSC_EXTERN PetscErrorCode MatSetBlockSizes(Mat,PetscInt,PetscInt);
361 PETSC_EXTERN PetscErrorCode MatSetBlockSizesFromMats(Mat,Mat,Mat);
362 
363 PETSC_EXTERN PetscErrorCode MatMult(Mat,Vec,Vec);
364 PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat,Vec,Vec);
365 PETSC_EXTERN PetscErrorCode MatMultAdd(Mat,Vec,Vec,Vec);
366 PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat,Vec,Vec);
367 PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat,Vec,Vec);
368 PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat,Mat,PetscReal,PetscBool *);
369 PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat,Mat,PetscReal,PetscBool *);
370 PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat,Vec,Vec,Vec);
371 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat,Vec,Vec,Vec);
372 PETSC_EXTERN PetscErrorCode MatMultConstrained(Mat,Vec,Vec);
373 PETSC_EXTERN PetscErrorCode MatMultTransposeConstrained(Mat,Vec,Vec);
374 PETSC_EXTERN PetscErrorCode MatMatSolve(Mat,Mat,Mat);
375 PETSC_EXTERN PetscErrorCode MatResidual(Mat,Vec,Vec,Vec);
376 
377 /*E
378     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
379   its numerical values copied over or just its nonzero structure.
380 
381     Level: beginner
382 
383    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
384 
385 $   MAT_SHARE_NONZERO_PATTERN - the i and j arrays in the new matrix will be shared with the original matrix
386 $                               this also triggers the MAT_DO_NOT_COPY_VALUES option. This is used when you
387 $                               have several matrices with the same nonzero pattern.
388 
389 .seealso: MatDuplicate()
390 E*/
391 typedef enum {MAT_DO_NOT_COPY_VALUES,MAT_COPY_VALUES,MAT_SHARE_NONZERO_PATTERN} MatDuplicateOption;
392 
393 PETSC_EXTERN PetscErrorCode MatConvert(Mat,MatType,MatReuse,Mat*);
394 PETSC_EXTERN PetscErrorCode MatDuplicate(Mat,MatDuplicateOption,Mat*);
395 
396 
397 PETSC_EXTERN PetscErrorCode MatCopy(Mat,Mat,MatStructure);
398 PETSC_EXTERN PetscErrorCode MatView(Mat,PetscViewer);
399 PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat,PetscReal,PetscBool *);
400 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat,PetscBool *);
401 PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat,PetscReal,PetscBool *);
402 PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat,PetscBool *,PetscBool *);
403 PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat,PetscBool *,PetscBool *);
404 PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat,PetscBool  *,PetscInt *);
405 PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);
406 
407 PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
408 PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
409 PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
410 PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
411 
412 /*S
413      MatInfo - Context of matrix information, used with MatGetInfo()
414 
415    In Fortran this is simply a double precision array of dimension MAT_INFO_SIZE
416 
417    Level: intermediate
418 
419   Concepts: matrix^nonzero information
420 
421 .seealso:  MatGetInfo(), MatInfoType
422 S*/
423 typedef struct {
424   PetscLogDouble block_size;                         /* block size */
425   PetscLogDouble nz_allocated,nz_used,nz_unneeded;   /* number of nonzeros */
426   PetscLogDouble memory;                             /* memory allocated */
427   PetscLogDouble assemblies;                         /* number of matrix assemblies called */
428   PetscLogDouble mallocs;                            /* number of mallocs during MatSetValues() */
429   PetscLogDouble fill_ratio_given,fill_ratio_needed; /* fill ratio for LU/ILU */
430   PetscLogDouble factor_mallocs;                     /* number of mallocs during factorization */
431 } MatInfo;
432 
433 /*E
434     MatInfoType - Indicates if you want information about the local part of the matrix,
435      the entire parallel matrix or the maximum over all the local parts.
436 
437     Level: beginner
438 
439    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
440 
441 .seealso: MatGetInfo(), MatInfo
442 E*/
443 typedef enum {MAT_LOCAL=1,MAT_GLOBAL_MAX=2,MAT_GLOBAL_SUM=3} MatInfoType;
444 PETSC_EXTERN PetscErrorCode MatGetInfo(Mat,MatInfoType,MatInfo*);
445 PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat,Vec);
446 PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat,Vec,PetscInt[]);
447 PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat,Vec,PetscInt[]);
448 PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat,Vec,PetscInt[]);
449 PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat,Vec,PetscInt[]);
450 PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat,Vec);
451 PETSC_EXTERN PetscErrorCode MatTranspose(Mat,MatReuse,Mat*);
452 PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat,MatReuse,Mat*);
453 PETSC_EXTERN PetscErrorCode MatPermute(Mat,IS,IS,Mat*);
454 PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat,Vec,Vec);
455 PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat,Vec,InsertMode);
456 
457 PETSC_EXTERN PetscErrorCode MatEqual(Mat,Mat,PetscBool*);
458 PETSC_EXTERN PetscErrorCode MatMultEqual(Mat,Mat,PetscInt,PetscBool*);
459 PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat,Mat,PetscInt,PetscBool*);
460 PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat,Mat,PetscInt,PetscBool*);
461 PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat,Mat,PetscInt,PetscBool*);
462 PETSC_EXTERN PetscErrorCode MatMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
463 PETSC_EXTERN PetscErrorCode MatTransposeMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
464 
465 PETSC_EXTERN PetscErrorCode MatNorm(Mat,NormType,PetscReal*);
466 PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat,NormType,PetscReal*);
467 PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
468 PETSC_EXTERN PetscErrorCode MatZeroRows(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
469 PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat,IS,PetscScalar,Vec,Vec);
470 PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat,PetscInt,const MatStencil [],PetscScalar,Vec,Vec);
471 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat,PetscInt,const MatStencil[],PetscScalar,Vec,Vec);
472 PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
473 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat,IS,PetscScalar,Vec,Vec);
474 
475 PETSC_EXTERN PetscErrorCode MatGetSize(Mat,PetscInt*,PetscInt*);
476 PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat,PetscInt*,PetscInt*);
477 PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat,PetscInt*,PetscInt*);
478 PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat,const PetscInt**);
479 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat,PetscInt*,PetscInt*);
480 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat,const PetscInt**);
481 PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat,IS*,IS*);
482 
483 PETSC_EXTERN PetscErrorCode MatGetSubMatrices(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
484 PETSC_EXTERN PetscErrorCode MatGetSubMatricesMPI(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
485 PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt,Mat *[]);
486 PETSC_EXTERN PetscErrorCode MatGetSubMatrix(Mat,IS,IS,MatReuse,Mat *);
487 PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat,IS,IS,Mat*);
488 PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat,IS,IS,Mat*);
489 PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat,Mat*);
490 PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat*);
491 
492 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm,Mat,PetscInt,PetscInt,MatReuse,Mat*);
493 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm,Mat,PetscInt,PetscInt,Mat*);
494 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat,Mat);
495 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat,MatReuse,Mat*);
496 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat,MatReuse,IS*,IS*,Mat*);
497 PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat,Mat,MatReuse,IS*,IS*,Mat*);
498 PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *,const PetscInt *[]);
499 
500 PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat,PetscInt,IS[],PetscInt);
501 PETSC_EXTERN PetscErrorCode MatIncreaseOverlapSplit(Mat mat,PetscInt n,IS is[],PetscInt ov);
502 PETSC_EXTERN PetscErrorCode MatMPIAIJSetUseScalableIncreaseOverlap(Mat,PetscBool);
503 
504 PETSC_EXTERN PetscErrorCode MatMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
505 PETSC_EXTERN PetscErrorCode MatMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
506 PETSC_EXTERN PetscErrorCode MatMatMultNumeric(Mat,Mat,Mat);
507 
508 PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
509 
510 PETSC_EXTERN PetscErrorCode MatPtAP(Mat,Mat,MatReuse,PetscReal,Mat*);
511 PETSC_EXTERN PetscErrorCode MatPtAPSymbolic(Mat,Mat,PetscReal,Mat*);
512 PETSC_EXTERN PetscErrorCode MatPtAPNumeric(Mat,Mat,Mat);
513 PETSC_EXTERN PetscErrorCode MatRARt(Mat,Mat,MatReuse,PetscReal,Mat*);
514 PETSC_EXTERN PetscErrorCode MatRARtSymbolic(Mat,Mat,PetscReal,Mat*);
515 PETSC_EXTERN PetscErrorCode MatRARtNumeric(Mat,Mat,Mat);
516 
517 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
518 PETSC_EXTERN PetscErrorCode MatTransposetMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
519 PETSC_EXTERN PetscErrorCode MatTransposetMatMultNumeric(Mat,Mat,Mat);
520 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat,Mat,MatReuse,PetscReal,Mat*);
521 PETSC_EXTERN PetscErrorCode MatMatTransposeMultSymbolic(Mat,Mat,PetscReal,Mat*);
522 PETSC_EXTERN PetscErrorCode MatMatTransposeMultNumeric(Mat,Mat,Mat);
523 
524 PETSC_EXTERN PetscErrorCode MatAXPY(Mat,PetscScalar,Mat,MatStructure);
525 PETSC_EXTERN PetscErrorCode MatAYPX(Mat,PetscScalar,Mat,MatStructure);
526 
527 PETSC_EXTERN PetscErrorCode MatScale(Mat,PetscScalar);
528 PETSC_EXTERN PetscErrorCode MatShift(Mat,PetscScalar);
529 
530 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
531 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
532 PETSC_EXTERN PetscErrorCode MatGetLayouts(Mat,PetscLayout*,PetscLayout*);
533 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
534 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
535 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
536 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
537 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
538 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
539 
540 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat,PetscInt,PetscInt);
541 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat,PetscInt*,PetscInt*,PetscInt*,PetscInt*);
542 
543 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat,Vec,Vec);
544 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat,Vec,Vec,Vec);
545 PETSC_EXTERN PetscErrorCode MatRestrict(Mat,Vec,Vec);
546 PETSC_EXTERN PetscErrorCode MatCreateVecs(Mat,Vec*,Vec*);
547 PETSC_DEPRECATED("Use MatCreateVecs()") PETSC_STATIC_INLINE PetscErrorCode MatGetVecs(Mat mat,Vec *x,Vec *y) {return MatCreateVecs(mat,x,y);}
548 PETSC_EXTERN PetscErrorCode MatCreateRedundantMatrix(Mat,PetscInt,MPI_Comm,MatReuse,Mat*);
549 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat,MPI_Comm,MatReuse,Mat*);
550 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat,IS*);
551 PETSC_EXTERN PetscErrorCode MatFindOffBlockDiagonalEntries(Mat,IS*);
552 PETSC_EXTERN PetscErrorCode MatCreateMPIMatConcatenateSeqMat(MPI_Comm,Mat,PetscInt,MatReuse,Mat*);
553 
554 /*MC
555    MatSetValue - Set a single entry into a matrix.
556 
557    Not collective
558 
559    Synopsis:
560      #include <petscmat.h>
561      PetscErrorCode MatSetValue(Mat m,PetscInt row,PetscInt col,PetscScalar value,InsertMode mode)
562 
563    Input Parameters:
564 +  m - the matrix
565 .  row - the row location of the entry
566 .  col - the column location of the entry
567 .  value - the value to insert
568 -  mode - either INSERT_VALUES or ADD_VALUES
569 
570    Notes:
571    For efficiency one should use MatSetValues() and set several or many
572    values simultaneously if possible.
573 
574    Level: beginner
575 
576 .seealso: MatSetValues(), MatSetValueLocal()
577 M*/
578 PETSC_STATIC_INLINE PetscErrorCode MatSetValue(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValues(v,1,&i,1,&j,&va,mode);}
579 
580 PETSC_STATIC_INLINE PetscErrorCode MatGetValue(Mat v,PetscInt i,PetscInt j,PetscScalar *va) {return MatGetValues(v,1,&i,1,&j,va);}
581 
582 PETSC_STATIC_INLINE PetscErrorCode MatSetValueLocal(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValuesLocal(v,1,&i,1,&j,&va,mode);}
583 
584 /*MC
585    MatPreallocateInitialize - Begins the block of code that will count the number of nonzeros per
586        row in a matrix providing the data that one can use to correctly preallocate the matrix.
587 
588    Synopsis:
589    #include <petscmat.h>
590    PetscErrorCode MatPreallocateInitialize(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
591 
592    Collective on MPI_Comm
593 
594    Input Parameters:
595 +  comm - the communicator that will share the eventually allocated matrix
596 .  nrows - the number of LOCAL rows in the matrix
597 -  ncols - the number of LOCAL columns in the matrix
598 
599    Output Parameters:
600 +  dnz - the array that will be passed to the matrix preallocation routines
601 -  ozn - the other array passed to the matrix preallocation routines
602 
603    Level: intermediate
604 
605    Notes:
606     See Users-Manual: ch_performance for more details.
607 
608    Do not malloc or free dnz and onz, that is handled internally by these routines
609 
610    Use MatPreallocateInitializeSymmetric() for symmetric matrices (MPISBAIJ matrices)
611 
612    This is a MACRO not a function because it has a leading { that is closed by PetscPreallocateFinalize().
613 
614   Concepts: preallocation^Matrix
615 
616 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
617           MatPreallocateInitializeSymmetric(), MatPreallocateSymmetricSetLocalBlock()
618 M*/
619 #define MatPreallocateInitialize(comm,nrows,ncols,dnz,onz) 0; \
620 { \
621   PetscErrorCode _4_ierr; PetscInt __nrows = (nrows),__ctmp = (ncols),__rstart,__start,__end; \
622   _4_ierr = PetscCalloc2(__nrows,&dnz,__nrows,&onz);CHKERRQ(_4_ierr); \
623   __start = 0; __end = __start;                                         \
624   _4_ierr = MPI_Scan(&__ctmp,&__end,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __start = __end - __ctmp;\
625   _4_ierr = MPI_Scan(&__nrows,&__rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __nrows;
626 
627 /*MC
628    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
629        inserted using a local number of the rows and columns
630 
631    Synopsis:
632    #include <petscmat.h>
633    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
634 
635    Not Collective
636 
637    Input Parameters:
638 +  map - the row mapping from local numbering to global numbering
639 .  nrows - the number of rows indicated
640 .  rows - the indices of the rows
641 .  cmap - the column mapping from local to global numbering
642 .  ncols - the number of columns in the matrix
643 .  cols - the columns indicated
644 .  dnz - the array that will be passed to the matrix preallocation routines
645 -  ozn - the other array passed to the matrix preallocation routines
646 
647    Level: intermediate
648 
649    Notes:
650     See Users-Manual: ch_performance for more details.
651 
652    Do not malloc or free dnz and onz, that is handled internally by these routines
653 
654   Concepts: preallocation^Matrix
655 
656 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
657           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock()
658 M*/
659 #define MatPreallocateSetLocal(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
660 {\
661   PetscInt __l;\
662   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
663   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
664   for (__l=0;__l<nrows;__l++) {\
665     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
666   }\
667 }
668 
669 /*MC
670    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
671        inserted using a local number of the rows and columns
672 
673    Synopsis:
674    #include <petscmat.h>
675    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
676 
677    Not Collective
678 
679    Input Parameters:
680 +  map - the row mapping from local numbering to global numbering
681 .  nrows - the number of rows indicated
682 .  rows - the indices of the rows
683 .  cmap - the column mapping from local to global numbering
684 .  ncols - the number of columns in the matrix
685 .  cols - the columns indicated
686 .  dnz - the array that will be passed to the matrix preallocation routines
687 -  ozn - the other array passed to the matrix preallocation routines
688 
689    Level: intermediate
690 
691    Notes:
692     See Users-Manual: ch_performance for more details.
693 
694    Do not malloc or free dnz and onz, that is handled internally by these routines
695 
696   Concepts: preallocation^Matrix
697 
698 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
699           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock()
700 M*/
701 #define MatPreallocateSetLocalBlock(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
702 {\
703   PetscInt __l;\
704   _4_ierr = ISLocalToGlobalMappingApplyBlock(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
705   _4_ierr = ISLocalToGlobalMappingApplyBlock(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
706   for (__l=0;__l<nrows;__l++) {\
707     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
708   }\
709 }
710 
711 /*MC
712    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
713        inserted using a local number of the rows and columns
714 
715    Synopsis:
716    #include <petscmat.h>
717    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
718 
719    Not Collective
720 
721    Input Parameters:
722 +  map - the mapping between local numbering and global numbering
723 .  nrows - the number of rows indicated
724 .  rows - the indices of the rows
725 .  ncols - the number of columns in the matrix
726 .  cols - the columns indicated
727 .  dnz - the array that will be passed to the matrix preallocation routines
728 -  ozn - the other array passed to the matrix preallocation routines
729 
730    Level: intermediate
731 
732    Notes:
733     See Users-Manual: ch_performance for more details.
734 
735    Do not malloc or free dnz and onz that is handled internally by these routines
736 
737   Concepts: preallocation^Matrix
738 
739 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateInitialize(),
740           MatPreallocateInitialize(),  MatPreallocateSetLocal()
741 M*/
742 #define MatPreallocateSymmetricSetLocalBlock(map,nrows,rows,ncols,cols,dnz,onz) 0;\
743 {\
744   PetscInt __l;\
745   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
746   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
747   for (__l=0;__l<nrows;__l++) {\
748     _4_ierr = MatPreallocateSymmetricSetBlock((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
749   }\
750 }
751 /*MC
752    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
753        inserted using a local number of the rows and columns
754 
755    Synopsis:
756    #include <petscmat.h>
757    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
758 
759    Not Collective
760 
761    Input Parameters:
762 +  row - the row
763 .  ncols - the number of columns in the matrix
764 -  cols - the columns indicated
765 
766    Output Parameters:
767 +  dnz - the array that will be passed to the matrix preallocation routines
768 -  ozn - the other array passed to the matrix preallocation routines
769 
770    Level: intermediate
771 
772    Notes:
773     See Users-Manual: ch_performance for more details.
774 
775    Do not malloc or free dnz and onz that is handled internally by these routines
776 
777    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
778 
779   Concepts: preallocation^Matrix
780 
781 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
782           MatPreallocateInitialize(), MatPreallocateSetLocal()
783 M*/
784 #define MatPreallocateSet(row,nc,cols,dnz,onz) 0;\
785 { PetscInt __i; \
786   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);\
787   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);\
788   for (__i=0; __i<nc; __i++) {\
789     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
790     else dnz[row - __rstart]++;\
791   }\
792 }
793 
794 /*MC
795    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
796        inserted using a local number of the rows and columns
797 
798    Synopsis:
799    #include <petscmat.h>
800    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
801 
802    Not Collective
803 
804    Input Parameters:
805 +  nrows - the number of rows indicated
806 .  rows - the indices of the rows
807 .  ncols - the number of columns in the matrix
808 .  cols - the columns indicated
809 .  dnz - the array that will be passed to the matrix preallocation routines
810 -  ozn - the other array passed to the matrix preallocation routines
811 
812    Level: intermediate
813 
814    Notes:
815     See Users-Manual: ch_performance for more details.
816 
817    Do not malloc or free dnz and onz that is handled internally by these routines
818 
819    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
820 
821   Concepts: preallocation^Matrix
822 
823 .seealso: MatPreallocateFinalize(), MatPreallocateSet(),  MatPreallocateInitialize(),
824           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
825 M*/
826 #define MatPreallocateSymmetricSetBlock(row,nc,cols,dnz,onz) 0;\
827 { PetscInt __i; \
828   for (__i=0; __i<nc; __i++) {\
829     if (cols[__i] >= __end) onz[row - __rstart]++; \
830     else if (cols[__i] >= row) dnz[row - __rstart]++;\
831   }\
832 }
833 
834 /*MC
835    MatPreallocateLocation -  An alternative to MatPreallocationSet() that puts the nonzero locations into the matrix if it exists
836 
837    Synopsis:
838    #include <petscmat.h>
839    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
840 
841    Not Collective
842 
843    Input Parameters:
844 .  A - matrix
845 .  row - row where values exist (must be local to this process)
846 .  ncols - number of columns
847 .  cols - columns with nonzeros
848 .  dnz - the array that will be passed to the matrix preallocation routines
849 -  ozn - the other array passed to the matrix preallocation routines
850 
851    Level: intermediate
852 
853    Notes:
854     See Users-Manual: ch_performance for more details.
855 
856    Do not malloc or free dnz and onz that is handled internally by these routines
857 
858    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
859 
860   Concepts: preallocation^Matrix
861 
862 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
863           MatPreallocateSymmetricSetLocalBlock()
864 M*/
865 #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);}
866 
867 
868 /*MC
869    MatPreallocateFinalize - Ends the block of code that will count the number of nonzeros per
870        row in a matrix providing the data that one can use to correctly preallocate the matrix.
871 
872    Synopsis:
873    #include <petscmat.h>
874    PetscErrorCode MatPreallocateFinalize(PetscInt *dnz, PetscInt *onz)
875 
876    Collective on MPI_Comm
877 
878    Input Parameters:
879 +  dnz - the array that was be passed to the matrix preallocation routines
880 -  ozn - the other array passed to the matrix preallocation routines
881 
882    Level: intermediate
883 
884    Notes:
885     See Users-Manual: ch_performance for more details.
886 
887    Do not malloc or free dnz and onz that is handled internally by these routines
888 
889    This is a MACRO not a function because it closes the { started in MatPreallocateInitialize().
890 
891   Concepts: preallocation^Matrix
892 
893 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
894           MatPreallocateSymmetricSetLocalBlock()
895 M*/
896 #define MatPreallocateFinalize(dnz,onz) 0;_4_ierr = PetscFree2(dnz,onz);CHKERRQ(_4_ierr);}
897 
898 /* Routines unique to particular data structures */
899 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat,void *);
900 
901 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat,IS*,IS*);
902 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat,PetscInt *,PetscInt *[],PetscInt *);
903 
904 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat,PetscInt[]);
905 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat,PetscInt[]);
906 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
907 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
908 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
909 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*,PetscInt,PetscBool);
910 
911 #define MAT_SKIP_ALLOCATION -4
912 
913 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
914 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
915 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat,PetscInt,const PetscInt[]);
916 
917 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
918 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
919 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
920 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat,const PetscInt [],const PetscInt [],const PetscScalar []);
921 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
922 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]);
923 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
924 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat,PetscInt[],PetscInt[],PetscInt[]);
925 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
926 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
927 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
928 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
929 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat,Mat*);
930 
931 PETSC_EXTERN PetscErrorCode MatISSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
932 PETSC_EXTERN PetscErrorCode MatSeqDenseSetLDA(Mat,PetscInt);
933 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat,Mat*);
934 
935 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
936 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
937 
938 PETSC_EXTERN PetscErrorCode MatDAADSetCtx(Mat,void*);
939 
940 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat,IS*);
941 /*
942   These routines are not usually accessed directly, rather solving is
943   done through the KSP and PC interfaces.
944 */
945 
946 /*J
947     MatOrderingType - String with the name of a PETSc matrix ordering
948 
949    Level: beginner
950 
951 .seealso: MatGetOrdering()
952 J*/
953 typedef const char* MatOrderingType;
954 #define MATORDERINGNATURAL     "natural"
955 #define MATORDERINGND          "nd"
956 #define MATORDERING1WD         "1wd"
957 #define MATORDERINGRCM         "rcm"
958 #define MATORDERINGQMD         "qmd"
959 #define MATORDERINGROWLENGTH   "rowlength"
960 #define MATORDERINGWBM         "wbm"
961 #define MATORDERINGSPECTRAL    "spectral"
962 #define MATORDERINGAMD         "amd"            /* only works if UMFPACK is installed with PETSc */
963 
964 PETSC_EXTERN PetscErrorCode MatGetOrdering(Mat,MatOrderingType,IS*,IS*);
965 PETSC_EXTERN PetscErrorCode MatGetOrderingList(PetscFunctionList*);
966 PETSC_EXTERN PetscErrorCode MatOrderingRegister(const char[],PetscErrorCode(*)(Mat,MatOrderingType,IS*,IS*));
967 PETSC_EXTERN PetscFunctionList MatOrderingList;
968 
969 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
970 PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat,PetscReal,PetscBool,Mat*);
971 
972 /*S
973     MatFactorShiftType - Numeric Shift.
974 
975    Level: beginner
976 
977 S*/
978 typedef enum {MAT_SHIFT_NONE,MAT_SHIFT_NONZERO,MAT_SHIFT_POSITIVE_DEFINITE,MAT_SHIFT_INBLOCKS} MatFactorShiftType;
979 PETSC_EXTERN const char *const MatFactorShiftTypes[];
980 PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];
981 
982 /*S
983     MatFactorError - indicates what type of error in matrix factor
984 
985     Level: beginner
986 
987     Developer Notes: Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
988 
989 .seealso: MatGetFactor()
990 S*/
991 typedef enum {MAT_FACTOR_NOERROR,MAT_FACTOR_STRUCT_ZEROPIVOT,MAT_FACTOR_NUMERIC_ZEROPIVOT,MAT_FACTOR_OUTMEMORY,MAT_FACTOR_OTHER} MatFactorError;
992 
993 PETSC_EXTERN PetscErrorCode MatFactorGetError(Mat,MatFactorError*);
994 
995 /*S
996    MatFactorInfo - Data passed into the matrix factorization routines, and information about the resulting factorization
997 
998    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE, that is use
999 $     MatFactorInfo  info(MAT_FACTORINFO_SIZE)
1000 
1001    Notes: These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
1002 
1003       You can use MatFactorInfoInitialize() to set default values.
1004 
1005    Level: developer
1006 
1007 .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor(),
1008           MatFactorInfoInitialize()
1009 
1010 S*/
1011 typedef struct {
1012   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
1013   PetscReal     usedt;
1014   PetscReal     dt;             /* drop tolerance */
1015   PetscReal     dtcol;          /* tolerance for pivoting */
1016   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
1017   PetscReal     fill;           /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1018   PetscReal     levels;         /* ICC/ILU(levels) */
1019   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1020                                    factorization may be faster if do not pivot */
1021   PetscReal     zeropivot;      /* pivot is called zero if less than this */
1022   PetscReal     shifttype;      /* type of shift added to matrix factor to prevent zero pivots */
1023   PetscReal     shiftamount;     /* how large the shift is */
1024 } MatFactorInfo;
1025 
1026 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo*);
1027 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat,IS,const MatFactorInfo*);
1028 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1029 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat,Mat,const MatFactorInfo*);
1030 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat,IS,IS,const MatFactorInfo*);
1031 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat,IS,IS,const MatFactorInfo*);
1032 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1033 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1034 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1035 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat,IS,const MatFactorInfo*);
1036 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat,Mat,const MatFactorInfo*);
1037 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat,PetscInt*,PetscInt*,PetscInt*);
1038 PETSC_EXTERN PetscErrorCode MatSolve(Mat,Vec,Vec);
1039 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat,Vec,Vec);
1040 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat,Vec,Vec);
1041 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat,Vec,Vec,Vec);
1042 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat,Vec,Vec);
1043 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
1044 PETSC_EXTERN PetscErrorCode MatSolves(Mat,Vecs,Vecs);
1045 PETSC_EXTERN PetscErrorCode MatFactorSetSchurIS(Mat,IS);
1046 PETSC_EXTERN PetscErrorCode MatFactorGetSchurComplement(Mat,Mat*);
1047 PETSC_EXTERN PetscErrorCode MatFactorRestoreSchurComplement(Mat,Mat*);
1048 PETSC_EXTERN PetscErrorCode MatFactorInvertSchurComplement(Mat);
1049 PETSC_EXTERN PetscErrorCode MatFactorCreateSchurComplement(Mat,Mat*);
1050 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplement(Mat,Vec,Vec);
1051 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplementTranspose(Mat,Vec,Vec);
1052 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
1053 
1054 /*E
1055     MatSORType - What type of (S)SOR to perform
1056 
1057     Level: beginner
1058 
1059    May be bitwise ORd together
1060 
1061    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1062 
1063    MatSORType may be bitwise ORd together, so do not change the numbers
1064 
1065 .seealso: MatSOR()
1066 E*/
1067 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
1068               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
1069               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
1070               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
1071 PETSC_EXTERN PetscErrorCode MatSOR(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
1072 
1073 /*
1074     These routines are for efficiently computing Jacobians via finite differences.
1075 */
1076 
1077 /*S
1078      MatColoring - Object for managing the coloring of matrices.
1079 
1080    Level: beginner
1081 
1082   Concepts: matrix, coloring
1083 
1084 .seealso:  MatFDColoringCreate() ISColoring MatFDColoring
1085 S*/
1086 typedef struct _p_MatColoring* MatColoring;
1087 /*J
1088     MatColoringType - String with the name of a PETSc matrix coloring
1089 
1090    Level: beginner
1091 
1092 .seealso: MatColoringSetType(), MatColoring
1093 J*/
1094 
1095 typedef const  char*           MatColoringType;
1096 #define MATCOLORINGJP      "jp"
1097 #define MATCOLORINGPOWER   "power"
1098 #define MATCOLORINGNATURAL "natural"
1099 #define MATCOLORINGSL      "sl"
1100 #define MATCOLORINGLF      "lf"
1101 #define MATCOLORINGID      "id"
1102 #define MATCOLORINGGREEDY  "greedy"
1103 
1104 /*E
1105    MatColoringWeightType - Type of weight scheme
1106 
1107     Not Collective
1108 
1109 +   MAT_COLORING_RANDOM  - Random weights
1110 .   MAT_COLORING_LEXICAL - Lexical weighting based upon global numbering.
1111 -   MAT_COLORING_LF      - Last-first weighting.
1112 
1113     Level: intermediate
1114 
1115    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1116 
1117 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1118 E*/
1119 typedef enum {MAT_COLORING_WEIGHT_RANDOM,MAT_COLORING_WEIGHT_LEXICAL,MAT_COLORING_WEIGHT_LF,MAT_COLORING_WEIGHT_SL} MatColoringWeightType;
1120 
1121 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat,MatColoring*);
1122 PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat,PetscInt,PetscInt*);
1123 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring*);
1124 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring,PetscViewer);
1125 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring,MatColoringType);
1126 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1127 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring,PetscInt);
1128 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring,PetscInt*);
1129 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring,PetscInt);
1130 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring,PetscInt*);
1131 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring,ISColoring*);
1132 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[],PetscErrorCode(*)(MatColoring));
1133 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat,PetscInt,PetscInt,ISColoringValue[],ISColoring*);
1134 PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring,MatColoringWeightType);
1135 PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring,PetscReal*,PetscInt*);
1136 PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring,PetscReal **,PetscInt **lperm);
1137 PETSC_EXTERN PetscErrorCode MatColoringTestValid(MatColoring,ISColoring);
1138 
1139 /*S
1140      MatFDColoring - Object for computing a sparse Jacobian via finite differences
1141         and coloring
1142 
1143    Level: beginner
1144 
1145   Concepts: coloring, sparse Jacobian, finite differences
1146 
1147 .seealso:  MatFDColoringCreate()
1148 S*/
1149 typedef struct _p_MatFDColoring* MatFDColoring;
1150 
1151 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
1152 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring*);
1153 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring,PetscViewer);
1154 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring,PetscErrorCode (*)(void),void*);
1155 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring,PetscErrorCode (**)(void),void**);
1156 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
1157 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1158 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat,MatFDColoring,Vec,void *);
1159 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring,Vec);
1160 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring,PetscInt*,PetscInt*[]);
1161 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat,ISColoring,MatFDColoring);
1162 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring,PetscInt,PetscInt);
1163 
1164 
1165 /*S
1166      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring
1167 
1168    Level: beginner
1169 
1170   Concepts: coloring, sparse matrix product
1171 
1172 .seealso:  MatTransposeColoringCreate()
1173 S*/
1174 typedef struct _p_MatTransposeColoring* MatTransposeColoring;
1175 
1176 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat,ISColoring,MatTransposeColoring *);
1177 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring,Mat,Mat);
1178 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring,Mat,Mat);
1179 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring*);
1180 
1181 /*
1182     These routines are for partitioning matrices: currently used only
1183   for adjacency matrix, MatCreateMPIAdj().
1184 */
1185 
1186 /*S
1187      MatPartitioning - Object for managing the partitioning of a matrix or graph
1188 
1189    Level: beginner
1190 
1191   Concepts: partitioning
1192 
1193 .seealso:  MatPartitioningCreate(), MatPartitioningType
1194 S*/
1195 typedef struct _p_MatPartitioning* MatPartitioning;
1196 
1197 /*J
1198     MatPartitioningType - String with the name of a PETSc matrix partitioning
1199 
1200    Level: beginner
1201 dm
1202 .seealso: MatPartitioningCreate(), MatPartitioning
1203 J*/
1204 typedef const char* MatPartitioningType;
1205 #define MATPARTITIONINGCURRENT  "current"
1206 #define MATPARTITIONINGAVERAGE   "average"
1207 #define MATPARTITIONINGSQUARE   "square"
1208 #define MATPARTITIONINGPARMETIS "parmetis"
1209 #define MATPARTITIONINGCHACO    "chaco"
1210 #define MATPARTITIONINGPARTY    "party"
1211 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1212 #define MATPARTITIONINGHIERARCH  "hierarch"
1213 
1214 
1215 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1216 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning,MatPartitioningType);
1217 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning,PetscInt);
1218 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning,Mat);
1219 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning,const PetscInt[]);
1220 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1221 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning,IS*);
1222 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning*);
1223 
1224 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[],PetscErrorCode (*)(MatPartitioning));
1225 
1226 
1227 
1228 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning,PetscViewer);
1229 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1230 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
1231 
1232 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetRepartition(MatPartitioning part);
1233 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1234 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1235 
1236 typedef enum { MP_CHACO_MULTILEVEL=1,MP_CHACO_SPECTRAL=2,MP_CHACO_LINEAR=4,MP_CHACO_RANDOM=5,MP_CHACO_SCATTERED=6 } MPChacoGlobalType;
1237 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1238 typedef enum { MP_CHACO_KERNIGHAN=1,MP_CHACO_NONE=2 } MPChacoLocalType;
1239 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1240 typedef enum { MP_CHACO_LANCZOS=0,MP_CHACO_RQI=1 } MPChacoEigenType;
1241 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1242 
1243 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning,MPChacoGlobalType);
1244 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning,MPChacoGlobalType*);
1245 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning,MPChacoLocalType);
1246 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning,MPChacoLocalType*);
1247 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning,PetscReal);
1248 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning,MPChacoEigenType);
1249 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning,MPChacoEigenType*);
1250 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning,PetscReal);
1251 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning,PetscReal*);
1252 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning,PetscInt);
1253 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning,PetscInt*);
1254 
1255 #define MP_PARTY_OPT "opt"
1256 #define MP_PARTY_LIN "lin"
1257 #define MP_PARTY_SCA "sca"
1258 #define MP_PARTY_RAN "ran"
1259 #define MP_PARTY_GBF "gbf"
1260 #define MP_PARTY_GCF "gcf"
1261 #define MP_PARTY_BUB "bub"
1262 #define MP_PARTY_DEF "def"
1263 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning,const char*);
1264 #define MP_PARTY_HELPFUL_SETS "hs"
1265 #define MP_PARTY_KERNIGHAN_LIN "kl"
1266 #define MP_PARTY_NONE "no"
1267 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning,const char*);
1268 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning,PetscReal);
1269 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning,PetscBool);
1270 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning,PetscBool);
1271 
1272 typedef enum { MP_PTSCOTCH_QUALITY,MP_PTSCOTCH_SPEED,MP_PTSCOTCH_BALANCE,MP_PTSCOTCH_SAFETY,MP_PTSCOTCH_SCALABILITY } MPPTScotchStrategyType;
1273 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1274 
1275 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning,PetscReal);
1276 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning,PetscReal*);
1277 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning,MPPTScotchStrategyType);
1278 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning,MPPTScotchStrategyType*);
1279 
1280 /*
1281  * hierarchical partitioning
1282  */
1283 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetFineparts(MatPartitioning,IS*);
1284 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetCoarseparts(MatPartitioning,IS*);
1285 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNcoarseparts(MatPartitioning,PetscInt);
1286 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNfineparts(MatPartitioning, PetscInt);
1287 
1288 /*
1289     These routines are for coarsening matrices:
1290 */
1291 
1292 /*S
1293      MatCoarsen - Object for managing the coarsening of a graph (symmetric matrix)
1294 
1295    Level: beginner
1296 
1297   Concepts: coarsen
1298 
1299 .seealso:  MatCoarsenCreate), MatCoarsenType
1300 S*/
1301 typedef struct _p_MatCoarsen* MatCoarsen;
1302 
1303 /*J
1304     MatCoarsenType - String with the name of a PETSc matrix coarsen
1305 
1306    Level: beginner
1307 
1308 .seealso: MatCoarsenCreate(), MatCoarsen
1309 J*/
1310 typedef const char* MatCoarsenType;
1311 #define MATCOARSENMIS  "mis"
1312 #define MATCOARSENHEM  "hem"
1313 
1314 /* linked list for aggregates */
1315 typedef struct _PetscCDIntNd{
1316   struct _PetscCDIntNd *next;
1317   PetscInt             gid;
1318 }PetscCDIntNd;
1319 
1320 /* only used by node pool */
1321 typedef struct _PetscCDArrNd{
1322   struct _PetscCDArrNd *next;
1323   struct _PetscCDIntNd *array;
1324 }PetscCDArrNd;
1325 
1326 typedef struct _PetscCoarsenData{
1327   PetscCDArrNd pool_list;  /* node pool */
1328   PetscCDIntNd *new_node;
1329   PetscInt     new_left;
1330   PetscInt     chk_sz;
1331   PetscCDIntNd *extra_nodes;
1332   PetscCDIntNd **array;  /* Array of lists */
1333   PetscInt     size;
1334   Mat          mat;  /* cache a Mat for communication data */
1335 }PetscCoarsenData;
1336 
1337 PETSC_EXTERN PetscErrorCode MatCoarsenCreate(MPI_Comm,MatCoarsen*);
1338 PETSC_EXTERN PetscErrorCode MatCoarsenSetType(MatCoarsen,MatCoarsenType);
1339 PETSC_EXTERN PetscErrorCode MatCoarsenSetAdjacency(MatCoarsen,Mat);
1340 PETSC_EXTERN PetscErrorCode MatCoarsenSetGreedyOrdering(MatCoarsen,const IS);
1341 PETSC_EXTERN PetscErrorCode MatCoarsenSetStrictAggs(MatCoarsen,PetscBool);
1342 PETSC_EXTERN PetscErrorCode MatCoarsenGetData( MatCoarsen, PetscCoarsenData ** );
1343 PETSC_EXTERN PetscErrorCode MatCoarsenApply(MatCoarsen);
1344 PETSC_EXTERN PetscErrorCode MatCoarsenDestroy(MatCoarsen*);
1345 
1346 PETSC_EXTERN PetscErrorCode MatCoarsenRegister(const char[],PetscErrorCode (*)(MatCoarsen));
1347 
1348 
1349 
1350 PETSC_EXTERN PetscErrorCode MatCoarsenView(MatCoarsen,PetscViewer);
1351 PETSC_EXTERN PetscErrorCode MatCoarsenSetFromOptions(MatCoarsen);
1352 PETSC_EXTERN PetscErrorCode MatCoarsenGetType(MatCoarsen,MatCoarsenType*);
1353 PETSC_STATIC_INLINE PetscErrorCode MatCoarsenViewFromOptions(MatCoarsen A,PetscObject obj,const char name[]) {return PetscObjectViewFromOptions((PetscObject)A,obj,name);}
1354 
1355 PETSC_EXTERN PetscErrorCode MatMeshToVertexGraph(Mat,PetscInt,Mat*);
1356 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat,PetscInt,Mat*);
1357 
1358 /*
1359     If you add entries here you must also add them to petsc/finclude/petscmat.h
1360 */
1361 typedef enum { MATOP_SET_VALUES=0,
1362                MATOP_GET_ROW=1,
1363                MATOP_RESTORE_ROW=2,
1364                MATOP_MULT=3,
1365                MATOP_MULT_ADD=4,
1366                MATOP_MULT_TRANSPOSE=5,
1367                MATOP_MULT_TRANSPOSE_ADD=6,
1368                MATOP_SOLVE=7,
1369                MATOP_SOLVE_ADD=8,
1370                MATOP_SOLVE_TRANSPOSE=9,
1371                MATOP_SOLVE_TRANSPOSE_ADD=10,
1372                MATOP_LUFACTOR=11,
1373                MATOP_CHOLESKYFACTOR=12,
1374                MATOP_SOR=13,
1375                MATOP_TRANSPOSE=14,
1376                MATOP_GETINFO=15,
1377                MATOP_EQUAL=16,
1378                MATOP_GET_DIAGONAL=17,
1379                MATOP_DIAGONAL_SCALE=18,
1380                MATOP_NORM=19,
1381                MATOP_ASSEMBLY_BEGIN=20,
1382                MATOP_ASSEMBLY_END=21,
1383                MATOP_SET_OPTION=22,
1384                MATOP_ZERO_ENTRIES=23,
1385                MATOP_ZERO_ROWS=24,
1386                MATOP_LUFACTOR_SYMBOLIC=25,
1387                MATOP_LUFACTOR_NUMERIC=26,
1388                MATOP_CHOLESKY_FACTOR_SYMBOLIC=27,
1389                MATOP_CHOLESKY_FACTOR_NUMERIC=28,
1390                MATOP_SETUP_PREALLOCATION=29,
1391                MATOP_ILUFACTOR_SYMBOLIC=30,
1392                MATOP_ICCFACTOR_SYMBOLIC=31,
1393                /* MATOP_PLACEHOLDER_32=32, */
1394                /* MATOP_PLACEHOLDER_33=33, */
1395                MATOP_DUPLICATE=34,
1396                MATOP_FORWARD_SOLVE=35,
1397                MATOP_BACKWARD_SOLVE=36,
1398                MATOP_ILUFACTOR=37,
1399                MATOP_ICCFACTOR=38,
1400                MATOP_AXPY=39,
1401                MATOP_GET_SUBMATRICES=40,
1402                MATOP_INCREASE_OVERLAP=41,
1403                MATOP_GET_VALUES=42,
1404                MATOP_COPY=43,
1405                MATOP_GET_ROW_MAX=44,
1406                MATOP_SCALE=45,
1407                MATOP_SHIFT=46,
1408                MATOP_DIAGONAL_SET=47,
1409                MATOP_ZERO_ROWS_COLUMNS=48,
1410                MATOP_SET_RANDOM=49,
1411                MATOP_GET_ROW_IJ=50,
1412                MATOP_RESTORE_ROW_IJ=51,
1413                MATOP_GET_COLUMN_IJ=52,
1414                MATOP_RESTORE_COLUMN_IJ=53,
1415                MATOP_FDCOLORING_CREATE=54,
1416                MATOP_COLORING_PATCH=55,
1417                MATOP_SET_UNFACTORED=56,
1418                MATOP_PERMUTE=57,
1419                MATOP_SET_VALUES_BLOCKED=58,
1420                MATOP_GET_SUBMATRIX=59,
1421                MATOP_DESTROY=60,
1422                MATOP_VIEW=61,
1423                MATOP_CONVERT_FROM=62,
1424                MATOP_MATMAT_MULT=63,
1425                MATOP_MATMAT_MULT_SYMBOLIC=64,
1426                MATOP_MATMAT_MULT_NUMERIC=65,
1427                MATOP_SET_LOCAL_TO_GLOBAL_MAP=66,
1428                MATOP_SET_VALUES_LOCAL=67,
1429                MATOP_ZERO_ROWS_LOCAL=68,
1430                MATOP_GET_ROW_MAX_ABS=69,
1431                MATOP_GET_ROW_MIN_ABS=70,
1432                MATOP_CONVERT=71,
1433                MATOP_SET_COLORING=72,
1434                /* MATOP_PLACEHOLDER_73=73, */
1435                MATOP_SET_VALUES_ADIFOR=74,
1436                MATOP_FD_COLORING_APPLY=75,
1437                MATOP_SET_FROM_OPTIONS=76,
1438                MATOP_MULT_CONSTRAINED=77,
1439                MATOP_MULT_TRANSPOSE_CONSTRAIN=78,
1440                MATOP_FIND_ZERO_DIAGONALS=79,
1441                MATOP_MULT_MULTIPLE=80,
1442                MATOP_SOLVE_MULTIPLE=81,
1443                MATOP_GET_INERTIA=82,
1444                MATOP_LOAD=83,
1445                MATOP_IS_SYMMETRIC=84,
1446                MATOP_IS_HERMITIAN=85,
1447                MATOP_IS_STRUCTURALLY_SYMMETRIC=86,
1448                MATOP_SET_VALUES_BLOCKEDLOCAL=87,
1449                MATOP_GET_VECS=88,
1450                MATOP_MAT_MULT=89,
1451                MATOP_MAT_MULT_SYMBOLIC=90,
1452                MATOP_MAT_MULT_NUMERIC=91,
1453                MATOP_PTAP=92,
1454                MATOP_PTAP_SYMBOLIC=93,
1455                MATOP_PTAP_NUMERIC=94,
1456                MATOP_MAT_TRANSPOSE_MULT=95,
1457                MATOP_MAT_TRANSPOSE_MULT_SYMBO=96,
1458                MATOP_MAT_TRANSPOSE_MULT_NUMER=97,
1459                /* MATOP_PLACEHOLDER_98=98, */
1460                /* MATOP_PLACEHOLDER_99=99, */
1461                /* MATOP_PLACEHOLDER_100=100, */
1462                /* MATOP_PLACEHOLDER_101=101, */
1463                MATOP_CONJUGATE=102,
1464                /* MATOP_PLACEHOLDER_103=103, */
1465                MATOP_SET_VALUES_ROW=104,
1466                MATOP_REAL_PART=105,
1467                MATOP_IMAGINARY_PART=106,
1468                MATOP_GET_ROW_UPPER_TRIANGULAR=107,
1469                MATOP_RESTORE_ROW_UPPER_TRIANG=108,
1470                MATOP_MAT_SOLVE=109,
1471                MATOP_GET_REDUNDANT_MATRIX=110,
1472                MATOP_GET_ROW_MIN=111,
1473                MATOP_GET_COLUMN_VECTOR=112,
1474                MATOP_MISSING_DIAGONAL=113,
1475                MATOP_GET_SEQ_NONZERO_STRUCTUR=114,
1476                MATOP_CREATE=115,
1477                MATOP_GET_GHOSTS=116,
1478                MATOP_GET_LOCAL_SUB_MATRIX=117,
1479                MATOP_RESTORE_LOCALSUB_MATRIX=118,
1480                MATOP_MULT_DIAGONAL_BLOCK=119,
1481                MATOP_HERMITIAN_TRANSPOSE=120,
1482                MATOP_MULT_HERMITIAN_TRANSPOSE=121,
1483                MATOP_MULT_HERMITIAN_TRANS_ADD=122,
1484                MATOP_GET_MULTI_PROC_BLOCK=123,
1485                MATOP_FIND_NONZERO_ROWS=124,
1486                MATOP_GET_COLUMN_NORMS=125,
1487                MATOP_INVERT_BLOCK_DIAGONAL=126,
1488                /* MATOP_PLACEHOLDER_127=127, */
1489                MATOP_GET_SUB_MATRICES_PARALLE=128,
1490                MATOP_SET_VALUES_BATCH=129,
1491                MATOP_TRANSPOSE_MAT_MULT=130,
1492                MATOP_TRANSPOSE_MAT_MULT_SYMBO=131,
1493                MATOP_TRANSPOSE_MAT_MULT_NUMER=132,
1494                MATOP_TRANSPOSE_COLORING_CREAT=133,
1495                MATOP_TRANS_COLORING_APPLY_SPT=134,
1496                MATOP_TRANS_COLORING_APPLY_DEN=135,
1497                MATOP_RART=136,
1498                MATOP_RART_SYMBOLIC=137,
1499                MATOP_RART_NUMERIC=138,
1500                MATOP_SET_BLOCK_SIZES=139,
1501                MATOP_AYPX=140,
1502                MATOP_RESIDUAL=141,
1503                MATOP_FDCOLORING_SETUP=142,
1504                MATOP_MPICONCATENATESEQ=144
1505              } MatOperation;
1506 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat,MatOperation,PetscBool *);
1507 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat,MatOperation,void(*)(void));
1508 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat,MatOperation,void(**)(void));
1509 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat,void*);
1510 
1511 /*
1512    Codes for matrices stored on disk. By default they are
1513    stored in a universal format. By changing the format with
1514    PetscViewerPushFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
1515    be stored in a way natural for the matrix, for example dense matrices
1516    would be stored as dense. Matrices stored this way may only be
1517    read into matrices of the same type.
1518 */
1519 #define MATRIX_BINARY_FORMAT_DENSE -1
1520 
1521 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1522 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat,Mat*);
1523 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat,Mat);
1524 PETSC_EXTERN PetscErrorCode MatISGetMPIXAIJ(Mat,MatReuse,Mat*);
1525 
1526 /*S
1527      MatNullSpace - Object that removes a null space from a vector, i.e.
1528          orthogonalizes the vector to a subsapce
1529 
1530    Level: advanced
1531 
1532   Concepts: matrix; linear operator, null space
1533 
1534   Users manual sections:
1535 .   sec_singular
1536 
1537 .seealso:  MatNullSpaceCreate()
1538 S*/
1539 typedef struct _p_MatNullSpace* MatNullSpace;
1540 
1541 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm,PetscBool ,PetscInt,const Vec[],MatNullSpace*);
1542 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace,PetscErrorCode (*)(MatNullSpace,Vec,void*),void*);
1543 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace*);
1544 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace,Vec);
1545 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
1546 PETSC_EXTERN PetscErrorCode MatGetTransposeNullSpace(Mat, MatNullSpace *);
1547 PETSC_EXTERN PetscErrorCode MatSetTransposeNullSpace(Mat,MatNullSpace);
1548 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat,MatNullSpace);
1549 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat,MatNullSpace);
1550 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat,MatNullSpace*);
1551 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace,Mat,PetscBool  *);
1552 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace,PetscViewer);
1553 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace,PetscBool*,PetscInt*,const Vec**);
1554 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec,MatNullSpace*);
1555 
1556 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat,IS);
1557 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1558 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat,PetscInt *);
1559 PETSC_EXTERN PetscErrorCode MatSeqBAIJInvertBlockDiagonal(Mat);
1560 
1561 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat,PetscInt,Mat*);
1562 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat,PetscInt,Mat*);
1563 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat,Mat*);
1564 
1565 PETSC_EXTERN PetscErrorCode MatComputeExplicitOperator(Mat,Mat*);
1566 
1567 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat,Vec);
1568 
1569 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
1570 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat,Vec,Vec);
1571 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat,PetscErrorCode(*)(void*,Vec,Vec),void*);
1572 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat,PetscErrorCode (*)(void*,PetscInt,Vec,PetscScalar*));
1573 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat,PetscErrorCode (*)(void*,Vec));
1574 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat,PetscScalar[],PetscInt);
1575 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
1576 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat,PetscReal);
1577 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat,PetscInt);
1578 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat,PetscScalar *);
1579 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat,const char[]);
1580 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void*,Vec,Vec,PetscScalar*);
1581 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat,PetscErrorCode (*)(void*,Vec,Vec,PetscScalar*),void*);
1582 
1583 /*S
1584     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
1585               Jacobian vector products
1586 
1587     Notes: MATMFFD is a specific MatType which uses the MatMFFD data structure
1588 
1589            MatMFFD*() methods actually take the Mat as their first argument. Not a MatMFFD data structure
1590 
1591     Level: developer
1592 
1593 .seealso: MATMFFD, MatCreateMFFD(), MatMFFDSetFuction(), MatMFFDSetType(), MatMFFDRegister()
1594 S*/
1595 typedef struct _p_MatMFFD* MatMFFD;
1596 
1597 /*J
1598     MatMFFDType - algorithm used to compute the h used in computing matrix-vector products via differencing of the function
1599 
1600    Level: beginner
1601 
1602 .seealso: MatMFFDSetType(), MatMFFDRegister()
1603 J*/
1604 typedef const char* MatMFFDType;
1605 #define MATMFFD_DS  "ds"
1606 #define MATMFFD_WP  "wp"
1607 
1608 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat,MatMFFDType);
1609 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[],PetscErrorCode (*)(MatMFFD));
1610 
1611 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat,PetscReal);
1612 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat,PetscBool );
1613 
1614 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
1615 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
1616 
1617 /*
1618    PETSc interface to MUMPS
1619 */
1620 #ifdef PETSC_HAVE_MUMPS
1621 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat,PetscInt,PetscInt);
1622 PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat,PetscInt,PetscInt*);
1623 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat,PetscInt,PetscReal);
1624 PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat,PetscInt,PetscReal*);
1625 
1626 PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat,PetscInt,PetscInt*);
1627 PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat,PetscInt,PetscInt*);
1628 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat,PetscInt,PetscReal*);
1629 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat,PetscInt,PetscReal*);
1630 #endif
1631 
1632 /*
1633    PETSc interface to Mkl_Pardiso
1634 */
1635 #ifdef PETSC_HAVE_MKL_PARDISO
1636 PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat,PetscInt,PetscInt);
1637 #endif
1638 
1639 /*
1640    PETSc interface to Mkl_CPardiso
1641 */
1642 #ifdef PETSC_HAVE_MKL_CPARDISO
1643 PETSC_EXTERN PetscErrorCode MatMkl_CPardisoSetCntl(Mat,PetscInt,PetscInt);
1644 #endif
1645 
1646 /*
1647    PETSc interface to SUPERLU
1648 */
1649 #ifdef PETSC_HAVE_SUPERLU
1650 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat,PetscReal);
1651 #endif
1652 
1653 /*
1654    PETSc interface to SUPERLU_DIST
1655 */
1656 #ifdef PETSC_HAVE_SUPERLU_DIST
1657 PETSC_EXTERN PetscErrorCode MatSuperluDistGetDiagU(Mat,PetscScalar*);
1658 #endif
1659 
1660 /*
1661    PETSc interface to STRUMPACK
1662 */
1663 #ifdef PETSC_HAVE_STRUMPACK
1664 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSRelCompTol(Mat,PetscReal);
1665 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMinSize(Mat,PetscInt);
1666 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetColPerm(Mat,PetscBool);
1667 #endif
1668 
1669 
1670 #ifdef PETSC_HAVE_CUDA
1671 /*E
1672     MatCUSPARSEStorageFormat - indicates the storage format for CUSPARSE (GPU)
1673     matrices.
1674 
1675     Not Collective
1676 
1677 +   MAT_CUSPARSE_CSR - Compressed Sparse Row
1678 .   MAT_CUSPARSE_ELL - Ellpack (requires CUDA 4.2 or later).
1679 -   MAT_CUSPARSE_HYB - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
1680 
1681     Level: intermediate
1682 
1683    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1684 
1685 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEFormatOperation
1686 E*/
1687 
1688 typedef enum {MAT_CUSPARSE_CSR, MAT_CUSPARSE_ELL, MAT_CUSPARSE_HYB} MatCUSPARSEStorageFormat;
1689 
1690 /* these will be strings associated with enumerated type defined above */
1691 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
1692 
1693 /*E
1694     MatCUSPARSEFormatOperation - indicates the operation of CUSPARSE (GPU)
1695     matrices whose operation should use a particular storage format.
1696 
1697     Not Collective
1698 
1699 +   MAT_CUSPARSE_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1700 .   MAT_CUSPARSE_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1701 .   MAT_CUSPARSE_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1702 -   MAT_CUSPARSE_ALL - sets the storage format for all CUSPARSE (GPU) matrices
1703 
1704     Level: intermediate
1705 
1706 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEStorageFormat
1707 E*/
1708 typedef enum {MAT_CUSPARSE_MULT_DIAG, MAT_CUSPARSE_MULT_OFFDIAG, MAT_CUSPARSE_MULT, MAT_CUSPARSE_ALL} MatCUSPARSEFormatOperation;
1709 
1710 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1711 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1712 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat,MatCUSPARSEFormatOperation,MatCUSPARSEStorageFormat);
1713 #endif
1714 
1715 #if defined(PETSC_HAVE_CUSP)
1716 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1717 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1718 
1719 /*E
1720     MatCUSPStorageFormat - indicates the storage format for CUSP (GPU)
1721     matrices.
1722 
1723     Not Collective
1724 
1725 +   MAT_CUSP_CSR - Compressed Sparse Row
1726 .   MAT_CUSP_DIA - Diagonal
1727 -   MAT_CUSP_ELL - Ellpack
1728 
1729     Level: intermediate
1730 
1731    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1732 
1733 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1734 E*/
1735 typedef enum {MAT_CUSP_CSR, MAT_CUSP_DIA, MAT_CUSP_ELL} MatCUSPStorageFormat;
1736 
1737 /* these will be strings associated with enumerated type defined above */
1738 PETSC_EXTERN const char *const MatCUSPStorageFormats[];
1739 
1740 /*E
1741     MatCUSPFormatOperation - indicates the operation of CUSP (GPU)
1742     matrices whose operation should use a particular storage format.
1743 
1744     Not Collective
1745 
1746 +   MAT_CUSP_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1747 .   MAT_CUSP_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1748 .   MAT_CUSP_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1749 -   MAT_CUSP_ALL - sets the storage format for all CUSP (GPU) matrices
1750 
1751     Level: intermediate
1752 
1753    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1754 
1755 .seealso: MatCUSPSetFormat(), MatCUSPStorageFormat
1756 E*/
1757 typedef enum {MAT_CUSP_MULT_DIAG, MAT_CUSP_MULT_OFFDIAG, MAT_CUSP_MULT, MAT_CUSP_ALL} MatCUSPFormatOperation;
1758 
1759 PETSC_EXTERN PetscErrorCode MatCUSPSetFormat(Mat,MatCUSPFormatOperation,MatCUSPStorageFormat);
1760 #endif
1761 
1762 #if defined(PETSC_HAVE_VIENNACL)
1763 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1764 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1765 #endif
1766 
1767 /*
1768    PETSc interface to FFTW
1769 */
1770 #if defined(PETSC_HAVE_FFTW)
1771 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat,Vec,Vec);
1772 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat,Vec,Vec);
1773 PETSC_EXTERN PetscErrorCode MatCreateVecsFFTW(Mat,Vec*,Vec*,Vec*);
1774 #endif
1775 
1776 /*
1777    PETSc interface to ELEMENTAL
1778 */
1779 #if defined(PETSC_HAVE_ELEMENTAL)
1780 #if defined(PETSC_USE_COMPLEX)
1781 typedef El::Complex<PetscReal> PetscElemScalar;
1782 #else
1783 typedef PetscScalar PetscElemScalar;
1784 #endif
1785 PETSC_EXTERN PetscErrorCode PetscElementalInitializePackage(void);
1786 PETSC_EXTERN PetscErrorCode PetscElementalFinalizePackage(void);
1787 #endif
1788 
1789 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm,PetscInt,const IS[],PetscInt,const IS[],const Mat[],Mat*);
1790 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat,PetscInt*,PetscInt*);
1791 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat,IS[],IS[]);
1792 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat,IS[],IS[]);
1793 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat,PetscInt*,PetscInt*,Mat***);
1794 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat,PetscInt,PetscInt,Mat*);
1795 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat,VecType);
1796 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat,PetscInt,const IS[],PetscInt,const IS[],const Mat[]);
1797 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat,PetscInt,PetscInt,Mat);
1798 
1799 PETSC_EXTERN PetscErrorCode MatChop(Mat,PetscReal);
1800 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat,PetscReal,PetscInt*);
1801 
1802 PETSC_EXTERN PetscErrorCode MatSubdomainsCreateCoalesce(Mat,PetscInt,PetscInt*,IS**);
1803 
1804 PETSC_EXTERN PetscErrorCode MatPreallocatorPreallocate(Mat,PetscBool,Mat);
1805 
1806 #endif
1807