xref: /petsc/include/petscmat.h (revision a9f05ab01b48311f1a4f4a3d36b06eef45c4952f)
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 MATHYPRE           "hypre"
78 #define MATHYPRESTRUCT     "hyprestruct"
79 #define MATHYPRESSTRUCT    "hypresstruct"
80 #define MATSUBMATRIX       "submatrix"
81 #define MATLOCALREF        "localref"
82 #define MATNEST            "nest"
83 #define MATPREALLOCATOR    "preallocator"
84 #define MATDUMMY           "dummy"
85 
86 /*J
87     MatSolverPackage - String with the name of a PETSc matrix solver type.
88 
89     For example: "petsc" indicates what PETSc provides, "superlu_dist" the parallel SuperLU_DIST package etc
90 
91    Level: beginner
92 
93 .seealso: MatGetFactor(), Mat, MatSetType(), MatType
94 J*/
95 #define MatSolverPackage char*
96 #define MATSOLVERSUPERLU          "superlu"
97 #define MATSOLVERSUPERLU_DIST     "superlu_dist"
98 #define MATSOLVERSTRUMPACK        "strumpack"
99 #define MATSOLVERUMFPACK          "umfpack"
100 #define MATSOLVERCHOLMOD          "cholmod"
101 #define MATSOLVERKLU              "klu"
102 #define MATSOLVERSPARSEELEMENTAL  "sparseelemental"
103 #define MATSOLVERELEMENTAL        "elemental"
104 #define MATSOLVERESSL             "essl"
105 #define MATSOLVERLUSOL            "lusol"
106 #define MATSOLVERMUMPS            "mumps"
107 #define MATSOLVERMKL_PARDISO      "mkl_pardiso"
108 #define MATSOLVERMKL_CPARDISO     "mkl_cpardiso"
109 #define MATSOLVERPASTIX           "pastix"
110 #define MATSOLVERMATLAB           "matlab"
111 #define MATSOLVERPETSC            "petsc"
112 #define MATSOLVERBAS              "bas"
113 #define MATSOLVERCUSPARSE         "cusparse"
114 
115 /*E
116     MatFactorType - indicates what type of factorization is requested
117 
118     Level: beginner
119 
120    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
121 
122 .seealso: MatSolverPackage, MatGetFactor()
123 E*/
124 typedef enum {MAT_FACTOR_NONE, MAT_FACTOR_LU, MAT_FACTOR_CHOLESKY, MAT_FACTOR_ILU, MAT_FACTOR_ICC,MAT_FACTOR_ILUDT} MatFactorType;
125 PETSC_EXTERN const char *const MatFactorTypes[];
126 
127 PETSC_EXTERN PetscErrorCode MatGetFactor(Mat,const MatSolverPackage,MatFactorType,Mat*);
128 PETSC_EXTERN PetscErrorCode MatGetFactorAvailable(Mat,const MatSolverPackage,MatFactorType,PetscBool *);
129 PETSC_EXTERN PetscErrorCode MatFactorGetSolverPackage(Mat,const MatSolverPackage*);
130 PETSC_EXTERN PetscErrorCode MatGetFactorType(Mat,MatFactorType*);
131 PETSC_EXTERN PetscErrorCode MatSolverPackageRegister(const MatSolverPackage,const MatType,MatFactorType,PetscErrorCode(*)(Mat,MatFactorType,Mat*));
132 PETSC_EXTERN PetscErrorCode MatSolverPackageGet(const MatSolverPackage,const MatType,MatFactorType,PetscBool*,PetscBool*,PetscErrorCode (**)(Mat,MatFactorType,Mat*));
133 
134 /* Logging support */
135 #define    MAT_FILE_CLASSID 1211216    /* used to indicate matrices in binary files */
136 PETSC_EXTERN PetscClassId MAT_CLASSID;
137 PETSC_EXTERN PetscClassId MAT_COLORING_CLASSID;
138 PETSC_EXTERN PetscClassId MAT_FDCOLORING_CLASSID;
139 PETSC_EXTERN PetscClassId MAT_TRANSPOSECOLORING_CLASSID;
140 PETSC_EXTERN PetscClassId MAT_PARTITIONING_CLASSID;
141 PETSC_EXTERN PetscClassId MAT_COARSEN_CLASSID;
142 PETSC_EXTERN PetscClassId MAT_NULLSPACE_CLASSID;
143 PETSC_EXTERN PetscClassId MATMFFD_CLASSID;
144 
145 /*E
146     MatReuse - Indicates if matrices obtained from a previous call to MatCreateSubMatrices(), MatCreateSubMatrix(), MatConvert() or several other functions
147      are to be reused to store the new matrix values.
148 
149 $  MAT_INITIAL_MATRIX - create a new matrix
150 $  MAT_REUSE_MATRIX - reuse the matrix created with a previous call that used MAT_INITIAL_MATRIX
151 $  MAT_INPLACE_MATRIX - replace the first input matrix with the new matrix (not applicable to all functions)
152 $  MAT_IGNORE_MATRIX - do not create a new matrix or reuse a give matrix, just ignore that matrix argument (not applicable to all functions)
153 
154     Level: beginner
155 
156    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
157 
158 .seealso: MatCreateSubMatrices(), MatCreateSubMatrix(), MatDestroyMatrices(), MatConvert()
159 E*/
160 typedef enum {MAT_INITIAL_MATRIX,MAT_REUSE_MATRIX,MAT_IGNORE_MATRIX,MAT_INPLACE_MATRIX} MatReuse;
161 
162 /*E
163     MatCreateSubMatrixOption - Indicates if matrices obtained from a call to MatCreateSubMatrices()
164      include the matrix values. Currently it is only used by MatGetSeqNonzerostructure().
165 
166     Level: beginner
167 
168 .seealso: MatGetSeqNonzerostructure()
169 E*/
170 typedef enum {MAT_DO_NOT_GET_VALUES,MAT_GET_VALUES} MatCreateSubMatrixOption;
171 
172 PETSC_EXTERN PetscErrorCode MatInitializePackage(void);
173 
174 PETSC_EXTERN PetscErrorCode MatCreate(MPI_Comm,Mat*);
175 PETSC_EXTERN PetscErrorCode MatSetSizes(Mat,PetscInt,PetscInt,PetscInt,PetscInt);
176 PETSC_EXTERN PetscErrorCode MatSetType(Mat,MatType);
177 PETSC_EXTERN PetscErrorCode MatSetFromOptions(Mat);
178 PETSC_STATIC_INLINE PetscErrorCode MatViewFromOptions(Mat A,PetscObject obj,const char name[]) {return PetscObjectViewFromOptions((PetscObject)A,obj,name);}
179 PETSC_EXTERN PetscErrorCode MatRegister(const char[],PetscErrorCode(*)(Mat));
180 PETSC_EXTERN PetscErrorCode MatRegisterBaseName(const char[],const char[],const char[]);
181 PETSC_EXTERN PetscErrorCode MatSetOptionsPrefix(Mat,const char[]);
182 PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefix(Mat,const char[]);
183 PETSC_EXTERN PetscErrorCode MatGetOptionsPrefix(Mat,const char*[]);
184 PETSC_EXTERN PetscErrorCode MatSetErrorIfFailure(Mat,PetscBool);
185 
186 PETSC_EXTERN PetscFunctionList MatList;
187 PETSC_EXTERN PetscFunctionList MatColoringList;
188 PETSC_EXTERN PetscFunctionList MatPartitioningList;
189 
190 /*E
191     MatStructure - Indicates if two matrices have the same nonzero structure
192 
193     Level: beginner
194 
195    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
196 
197 .seealso: MatCopy(), MatAXPY()
198 E*/
199 typedef enum {DIFFERENT_NONZERO_PATTERN,SUBSET_NONZERO_PATTERN,SAME_NONZERO_PATTERN} MatStructure;
200 
201 PETSC_EXTERN PetscErrorCode MatCreateSeqDense(MPI_Comm,PetscInt,PetscInt,PetscScalar[],Mat*);
202 PETSC_EXTERN PetscErrorCode MatCreateDense(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar[],Mat*);
203 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
204 PETSC_EXTERN PetscErrorCode MatCreateAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
205 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
206 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSplitArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],PetscInt[],PetscInt[],PetscScalar[],Mat*);
207 
208 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
209 PETSC_EXTERN PetscErrorCode MatCreateBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
210 PETSC_EXTERN PetscErrorCode MatCreateMPIBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat*);
211 
212 PETSC_EXTERN PetscErrorCode MatCreateMPIAdj(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscInt[],Mat*);
213 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
214 
215 PETSC_EXTERN PetscErrorCode MatCreateSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
216 PETSC_EXTERN PetscErrorCode MatCreateMPISBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
217 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
218 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
219 PETSC_EXTERN PetscErrorCode MatXAIJSetPreallocation(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscInt[],const PetscInt[]);
220 
221 PETSC_EXTERN PetscErrorCode MatCreateShell(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,void *,Mat*);
222 PETSC_EXTERN PetscErrorCode MatCreateNormal(Mat,Mat*);
223 PETSC_EXTERN PetscErrorCode MatCreateNormalHermitian(Mat,Mat*);
224 PETSC_EXTERN PetscErrorCode MatCreateLRC(Mat,Mat,Vec,Mat,Mat*);
225 PETSC_EXTERN PetscErrorCode MatLRCGetMats(Mat,Mat*,Mat*,Vec*,Mat*);
226 PETSC_EXTERN PetscErrorCode MatCreateIS(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,ISLocalToGlobalMapping,ISLocalToGlobalMapping,Mat*);
227 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
228 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
229 
230 PETSC_EXTERN PetscErrorCode MatCreateScatter(MPI_Comm,VecScatter,Mat*);
231 PETSC_EXTERN PetscErrorCode MatScatterSetVecScatter(Mat,VecScatter);
232 PETSC_EXTERN PetscErrorCode MatScatterGetVecScatter(Mat,VecScatter*);
233 PETSC_EXTERN PetscErrorCode MatCreateBlockMat(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt*,Mat*);
234 PETSC_EXTERN PetscErrorCode MatCompositeAddMat(Mat,Mat);
235 PETSC_EXTERN PetscErrorCode MatCompositeMerge(Mat);
236 PETSC_EXTERN PetscErrorCode MatCreateComposite(MPI_Comm,PetscInt,const Mat*,Mat*);
237 typedef enum {MAT_COMPOSITE_ADDITIVE,MAT_COMPOSITE_MULTIPLICATIVE} MatCompositeType;
238 PETSC_EXTERN PetscErrorCode MatCompositeSetType(Mat,MatCompositeType);
239 
240 PETSC_EXTERN PetscErrorCode MatCreateFFT(MPI_Comm,PetscInt,const PetscInt[],MatType,Mat*);
241 PETSC_EXTERN PetscErrorCode MatCreateSeqCUFFT(MPI_Comm,PetscInt,const PetscInt[],Mat*);
242 
243 PETSC_EXTERN PetscErrorCode MatCreateTranspose(Mat,Mat*);
244 PETSC_EXTERN PetscErrorCode MatTransposeGetMat(Mat,Mat*);
245 PETSC_EXTERN PetscErrorCode MatCreateHermitianTranspose(Mat,Mat*);
246 PETSC_EXTERN PetscErrorCode MatCreateSubMatrixVirtual(Mat,IS,IS,Mat*);
247 PETSC_EXTERN PetscErrorCode MatSubMatrixVirtualUpdate(Mat,Mat,IS,IS);
248 PETSC_EXTERN PetscErrorCode MatCreateLocalRef(Mat,IS,IS,Mat*);
249 
250 #if defined(PETSC_HAVE_HYPRE)
251 PETSC_EXTERN PetscErrorCode MatHYPRESetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
252 #endif
253 
254 PETSC_EXTERN PetscErrorCode MatPythonSetType(Mat,const char[]);
255 
256 PETSC_EXTERN PetscErrorCode MatSetUp(Mat);
257 PETSC_EXTERN PetscErrorCode MatDestroy(Mat*);
258 PETSC_EXTERN PetscErrorCode MatGetNonzeroState(Mat,PetscObjectState*);
259 
260 PETSC_EXTERN PetscErrorCode MatConjugate(Mat);
261 PETSC_EXTERN PetscErrorCode MatRealPart(Mat);
262 PETSC_EXTERN PetscErrorCode MatImaginaryPart(Mat);
263 PETSC_EXTERN PetscErrorCode MatGetDiagonalBlock(Mat,Mat*);
264 PETSC_EXTERN PetscErrorCode MatGetTrace(Mat,PetscScalar*);
265 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonal(Mat,const PetscScalar **);
266 
267 /* ------------------------------------------------------------*/
268 PETSC_EXTERN PetscErrorCode MatSetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
269 PETSC_EXTERN PetscErrorCode MatSetValuesBlocked(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
270 PETSC_EXTERN PetscErrorCode MatSetValuesRow(Mat,PetscInt,const PetscScalar[]);
271 PETSC_EXTERN PetscErrorCode MatSetValuesRowLocal(Mat,PetscInt,const PetscScalar[]);
272 PETSC_EXTERN PetscErrorCode MatSetValuesBatch(Mat,PetscInt,PetscInt,PetscInt[],const PetscScalar[]);
273 PETSC_EXTERN PetscErrorCode MatSetRandom(Mat,PetscRandom);
274 
275 /*S
276      MatStencil - Data structure (C struct) for storing information about a single row or
277         column of a matrix as indexed on an associated grid. These are arguments to MatSetStencil() and MatSetBlockStencil()
278 
279    The i,j, and k represent the logical coordinates over the entire grid (for 2 and 1 dimensional problems the k and j entries are ignored).
280    The c represents the the degrees of freedom at each grid point (the dof argument to DMDASetDOF()). If dof is 1 then this entry is ignored.
281 
282    For stencil access to vectors see DMDAVecGetArray(), DMDAVecGetArrayF90().
283 
284    Fortran usage is different, see MatSetValuesStencil() for details.
285 
286    Level: beginner
287 
288   Concepts: matrix; linear operator
289 
290 .seealso:  MatSetValuesStencil(), MatSetStencil(), MatSetValuesBlockedStencil(), DMDAVecGetArray(), DMDAVecGetArrayF90()
291 S*/
292 typedef struct {
293   PetscInt k,j,i,c;
294 } MatStencil;
295 
296 PETSC_EXTERN PetscErrorCode MatSetValuesStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
297 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
298 PETSC_EXTERN PetscErrorCode MatSetStencil(Mat,PetscInt,const PetscInt[],const PetscInt[],PetscInt);
299 
300 /*E
301     MatAssemblyType - Indicates if the matrix is now to be used, or if you plan
302      to continue to add or insert values to it
303 
304     Level: beginner
305 
306 .seealso: MatAssemblyBegin(), MatAssemblyEnd()
307 E*/
308 typedef enum {MAT_FLUSH_ASSEMBLY=1,MAT_FINAL_ASSEMBLY=0} MatAssemblyType;
309 PETSC_EXTERN PetscErrorCode MatAssemblyBegin(Mat,MatAssemblyType);
310 PETSC_EXTERN PetscErrorCode MatAssemblyEnd(Mat,MatAssemblyType);
311 PETSC_EXTERN PetscErrorCode MatAssembled(Mat,PetscBool *);
312 
313 
314 
315 /*E
316     MatOption - Options that may be set for a matrix and its behavior or storage
317 
318     Level: beginner
319 
320    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
321 
322    Developer Notes: Entries that are negative need not be called collectively by all processes.
323 
324 .seealso: MatSetOption()
325 E*/
326 typedef enum {MAT_OPTION_MIN = -3,
327               MAT_UNUSED_NONZERO_LOCATION_ERR = -2,
328               MAT_ROW_ORIENTED = -1,
329               MAT_SYMMETRIC = 1,
330               MAT_STRUCTURALLY_SYMMETRIC = 2,
331               MAT_NEW_DIAGONALS = 3,
332               MAT_IGNORE_OFF_PROC_ENTRIES = 4,
333               MAT_USE_HASH_TABLE = 5,
334               MAT_KEEP_NONZERO_PATTERN = 6,
335               MAT_IGNORE_ZERO_ENTRIES = 7,
336               MAT_USE_INODES = 8,
337               MAT_HERMITIAN = 9,
338               MAT_SYMMETRY_ETERNAL = 10,
339               MAT_NEW_NONZERO_LOCATION_ERR = 11,
340               MAT_IGNORE_LOWER_TRIANGULAR = 12,
341               MAT_ERROR_LOWER_TRIANGULAR = 13,
342               MAT_GETROW_UPPERTRIANGULAR = 14,
343               MAT_SPD = 15,
344               MAT_NO_OFF_PROC_ZERO_ROWS = 16,
345               MAT_NO_OFF_PROC_ENTRIES = 17,
346               MAT_NEW_NONZERO_LOCATIONS = 18,
347               MAT_NEW_NONZERO_ALLOCATION_ERR = 19,
348               MAT_SUBSET_OFF_PROC_ENTRIES = 20,
349               MAT_SUBMAT_SINGLEIS = 21,
350               MAT_OPTION_MAX = 22} 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 MatGetColumnVector(Mat,Vec,PetscInt);
363 PETSC_EXTERN PetscErrorCode MatSeqAIJGetArray(Mat,PetscScalar *[]);
364 PETSC_EXTERN PetscErrorCode MatSeqAIJRestoreArray(Mat,PetscScalar *[]);
365 PETSC_EXTERN PetscErrorCode MatSeqAIJGetMaxRowNonzeros(Mat,PetscInt*);
366 PETSC_EXTERN PetscErrorCode MatSeqAIJSetValuesLocalFast(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
367 PETSC_EXTERN PetscErrorCode MatSeqSBAIJGetArray(Mat,PetscScalar *[]);
368 PETSC_EXTERN PetscErrorCode MatSeqSBAIJRestoreArray(Mat,PetscScalar *[]);
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 
377 PETSC_EXTERN PetscErrorCode MatMult(Mat,Vec,Vec);
378 PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat,Vec,Vec);
379 PETSC_EXTERN PetscErrorCode MatMultAdd(Mat,Vec,Vec,Vec);
380 PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat,Vec,Vec);
381 PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat,Vec,Vec);
382 PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat,Mat,PetscReal,PetscBool *);
383 PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat,Mat,PetscReal,PetscBool *);
384 PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat,Vec,Vec,Vec);
385 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat,Vec,Vec,Vec);
386 PETSC_EXTERN PetscErrorCode MatMultConstrained(Mat,Vec,Vec);
387 PETSC_EXTERN PetscErrorCode MatMultTransposeConstrained(Mat,Vec,Vec);
388 PETSC_EXTERN PetscErrorCode MatMatSolve(Mat,Mat,Mat);
389 PETSC_EXTERN PetscErrorCode MatResidual(Mat,Vec,Vec,Vec);
390 
391 /*E
392     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
393   its numerical values copied over or just its nonzero structure.
394 
395     Level: beginner
396 
397    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
398 
399 $   MAT_SHARE_NONZERO_PATTERN - the i and j arrays in the new matrix will be shared with the original matrix
400 $                               this also triggers the MAT_DO_NOT_COPY_VALUES option. This is used when you
401 $                               have several matrices with the same nonzero pattern.
402 
403 .seealso: MatDuplicate()
404 E*/
405 typedef enum {MAT_DO_NOT_COPY_VALUES,MAT_COPY_VALUES,MAT_SHARE_NONZERO_PATTERN} MatDuplicateOption;
406 
407 PETSC_EXTERN PetscErrorCode MatConvert(Mat,MatType,MatReuse,Mat*);
408 PETSC_EXTERN PetscErrorCode MatDuplicate(Mat,MatDuplicateOption,Mat*);
409 
410 
411 PETSC_EXTERN PetscErrorCode MatCopy(Mat,Mat,MatStructure);
412 PETSC_EXTERN PetscErrorCode MatView(Mat,PetscViewer);
413 PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat,PetscReal,PetscBool *);
414 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat,PetscBool *);
415 PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat,PetscReal,PetscBool *);
416 PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat,PetscBool *,PetscBool *);
417 PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat,PetscBool *,PetscBool *);
418 PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat,PetscBool  *,PetscInt *);
419 PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);
420 
421 PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
422 PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
423 PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
424 PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
425 
426 /*S
427      MatInfo - Context of matrix information, used with MatGetInfo()
428 
429    In Fortran this is simply a double precision array of dimension MAT_INFO_SIZE
430 
431    Level: intermediate
432 
433   Concepts: matrix^nonzero information
434 
435 .seealso:  MatGetInfo(), MatInfoType
436 S*/
437 typedef struct {
438   PetscLogDouble block_size;                         /* block size */
439   PetscLogDouble nz_allocated,nz_used,nz_unneeded;   /* number of nonzeros */
440   PetscLogDouble memory;                             /* memory allocated */
441   PetscLogDouble assemblies;                         /* number of matrix assemblies called */
442   PetscLogDouble mallocs;                            /* number of mallocs during MatSetValues() */
443   PetscLogDouble fill_ratio_given,fill_ratio_needed; /* fill ratio for LU/ILU */
444   PetscLogDouble factor_mallocs;                     /* number of mallocs during factorization */
445 } MatInfo;
446 
447 /*E
448     MatInfoType - Indicates if you want information about the local part of the matrix,
449      the entire parallel matrix or the maximum over all the local parts.
450 
451     Level: beginner
452 
453    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
454 
455 .seealso: MatGetInfo(), MatInfo
456 E*/
457 typedef enum {MAT_LOCAL=1,MAT_GLOBAL_MAX=2,MAT_GLOBAL_SUM=3} MatInfoType;
458 PETSC_EXTERN PetscErrorCode MatGetInfo(Mat,MatInfoType,MatInfo*);
459 PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat,Vec);
460 PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat,Vec,PetscInt[]);
461 PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat,Vec,PetscInt[]);
462 PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat,Vec,PetscInt[]);
463 PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat,Vec,PetscInt[]);
464 PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat,Vec);
465 PETSC_EXTERN PetscErrorCode MatTranspose(Mat,MatReuse,Mat*);
466 PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat,MatReuse,Mat*);
467 PETSC_EXTERN PetscErrorCode MatPermute(Mat,IS,IS,Mat*);
468 PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat,Vec,Vec);
469 PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat,Vec,InsertMode);
470 
471 PETSC_EXTERN PetscErrorCode MatEqual(Mat,Mat,PetscBool*);
472 PETSC_EXTERN PetscErrorCode MatMultEqual(Mat,Mat,PetscInt,PetscBool*);
473 PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat,Mat,PetscInt,PetscBool*);
474 PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat,Mat,PetscInt,PetscBool*);
475 PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat,Mat,PetscInt,PetscBool*);
476 PETSC_EXTERN PetscErrorCode MatMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
477 PETSC_EXTERN PetscErrorCode MatTransposeMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
478 
479 PETSC_EXTERN PetscErrorCode MatNorm(Mat,NormType,PetscReal*);
480 PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat,NormType,PetscReal*);
481 PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
482 PETSC_EXTERN PetscErrorCode MatZeroRows(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
483 PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat,IS,PetscScalar,Vec,Vec);
484 PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat,PetscInt,const MatStencil [],PetscScalar,Vec,Vec);
485 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat,PetscInt,const MatStencil[],PetscScalar,Vec,Vec);
486 PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
487 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat,IS,PetscScalar,Vec,Vec);
488 
489 PETSC_EXTERN PetscErrorCode MatGetSize(Mat,PetscInt*,PetscInt*);
490 PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat,PetscInt*,PetscInt*);
491 PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat,PetscInt*,PetscInt*);
492 PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat,const PetscInt**);
493 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat,PetscInt*,PetscInt*);
494 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat,const PetscInt**);
495 PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat,IS*,IS*);
496 
497 PETSC_EXTERN PetscErrorCode MatCreateSubMatrices(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
498 PETSC_DEPRECATED("Use MatCreateSubMatrices()") PETSC_STATIC_INLINE PetscErrorCode MatGetSubMatrices(Mat mat,PetscInt n,const IS irow[],const IS icol[],MatReuse scall,Mat *submat[]) {return MatCreateSubMatrices(mat,n,irow,icol,scall,submat);}
499 PETSC_EXTERN PetscErrorCode MatCreateSubMatricesMPI(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
500 PETSC_DEPRECATED("Use MatCreateSubMatricesMPI()") PETSC_STATIC_INLINE PetscErrorCode MatGetSubMatricesMPI(Mat mat,PetscInt n,const IS irow[],const IS icol[],MatReuse scall,Mat *submat[]) {return MatCreateSubMatricesMPI(mat,n,irow,icol,scall,submat);}
501 PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt,Mat *[]);
502 PETSC_EXTERN PetscErrorCode MatDestroySubMatrices(PetscInt,Mat *[]);
503 PETSC_EXTERN PetscErrorCode MatCreateSubMatrix(Mat,IS,IS,MatReuse,Mat *);
504 PETSC_DEPRECATED("Use MatCreateSubMatrix()") PETSC_STATIC_INLINE PetscErrorCode MatGetSubMatrix(Mat mat,IS isrow,IS iscol,MatReuse cll,Mat *newmat) {return MatCreateSubMatrix(mat,isrow,iscol,cll,newmat);}
505 PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat,IS,IS,Mat*);
506 PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat,IS,IS,Mat*);
507 PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat,Mat*);
508 PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat*);
509 
510 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm,Mat,PetscInt,PetscInt,MatReuse,Mat*);
511 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm,Mat,PetscInt,PetscInt,Mat*);
512 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat,Mat);
513 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat,MatReuse,Mat*);
514 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat,MatReuse,IS*,IS*,Mat*);
515 PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat,Mat,MatReuse,IS*,IS*,Mat*);
516 PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *,const PetscInt *[]);
517 
518 PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat,PetscInt,IS[],PetscInt);
519 PETSC_EXTERN PetscErrorCode MatIncreaseOverlapSplit(Mat mat,PetscInt n,IS is[],PetscInt ov);
520 PETSC_EXTERN PetscErrorCode MatMPIAIJSetUseScalableIncreaseOverlap(Mat,PetscBool);
521 
522 PETSC_EXTERN PetscErrorCode MatMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
523 PETSC_EXTERN PetscErrorCode MatMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
524 PETSC_EXTERN PetscErrorCode MatMatMultNumeric(Mat,Mat,Mat);
525 
526 PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
527 PETSC_EXTERN PetscErrorCode MatGalerkin(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
528 
529 PETSC_EXTERN PetscErrorCode MatPtAP(Mat,Mat,MatReuse,PetscReal,Mat*);
530 PETSC_EXTERN PetscErrorCode MatPtAPSymbolic(Mat,Mat,PetscReal,Mat*);
531 PETSC_EXTERN PetscErrorCode MatPtAPNumeric(Mat,Mat,Mat);
532 PETSC_EXTERN PetscErrorCode MatRARt(Mat,Mat,MatReuse,PetscReal,Mat*);
533 PETSC_EXTERN PetscErrorCode MatRARtSymbolic(Mat,Mat,PetscReal,Mat*);
534 PETSC_EXTERN PetscErrorCode MatRARtNumeric(Mat,Mat,Mat);
535 
536 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
537 PETSC_EXTERN PetscErrorCode MatTransposetMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
538 PETSC_EXTERN PetscErrorCode MatTransposetMatMultNumeric(Mat,Mat,Mat);
539 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat,Mat,MatReuse,PetscReal,Mat*);
540 PETSC_EXTERN PetscErrorCode MatMatTransposeMultSymbolic(Mat,Mat,PetscReal,Mat*);
541 PETSC_EXTERN PetscErrorCode MatMatTransposeMultNumeric(Mat,Mat,Mat);
542 
543 PETSC_EXTERN PetscErrorCode MatAXPY(Mat,PetscScalar,Mat,MatStructure);
544 PETSC_EXTERN PetscErrorCode MatAYPX(Mat,PetscScalar,Mat,MatStructure);
545 
546 PETSC_EXTERN PetscErrorCode MatScale(Mat,PetscScalar);
547 PETSC_EXTERN PetscErrorCode MatShift(Mat,PetscScalar);
548 
549 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
550 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
551 PETSC_EXTERN PetscErrorCode MatGetLayouts(Mat,PetscLayout*,PetscLayout*);
552 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
553 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
554 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
555 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
556 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
557 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
558 
559 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat,PetscInt,PetscInt);
560 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat,PetscInt*,PetscInt*,PetscInt*,PetscInt*);
561 
562 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat,Vec,Vec);
563 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat,Vec,Vec,Vec);
564 PETSC_EXTERN PetscErrorCode MatRestrict(Mat,Vec,Vec);
565 PETSC_EXTERN PetscErrorCode MatCreateVecs(Mat,Vec*,Vec*);
566 PETSC_DEPRECATED("Use MatCreateVecs()") PETSC_STATIC_INLINE PetscErrorCode MatGetVecs(Mat mat,Vec *x,Vec *y) {return MatCreateVecs(mat,x,y);}
567 PETSC_EXTERN PetscErrorCode MatCreateRedundantMatrix(Mat,PetscInt,MPI_Comm,MatReuse,Mat*);
568 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat,MPI_Comm,MatReuse,Mat*);
569 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat,IS*);
570 PETSC_EXTERN PetscErrorCode MatFindOffBlockDiagonalEntries(Mat,IS*);
571 PETSC_EXTERN PetscErrorCode MatCreateMPIMatConcatenateSeqMat(MPI_Comm,Mat,PetscInt,MatReuse,Mat*);
572 
573 /*MC
574    MatSetValue - Set a single entry into a matrix.
575 
576    Not collective
577 
578    Synopsis:
579      #include <petscmat.h>
580      PetscErrorCode MatSetValue(Mat m,PetscInt row,PetscInt col,PetscScalar value,InsertMode mode)
581 
582    Input Parameters:
583 +  m - the matrix
584 .  row - the row location of the entry
585 .  col - the column location of the entry
586 .  value - the value to insert
587 -  mode - either INSERT_VALUES or ADD_VALUES
588 
589    Notes:
590    For efficiency one should use MatSetValues() and set several or many
591    values simultaneously if possible.
592 
593    Level: beginner
594 
595 .seealso: MatSetValues(), MatSetValueLocal()
596 M*/
597 PETSC_STATIC_INLINE PetscErrorCode MatSetValue(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValues(v,1,&i,1,&j,&va,mode);}
598 
599 PETSC_STATIC_INLINE PetscErrorCode MatGetValue(Mat v,PetscInt i,PetscInt j,PetscScalar *va) {return MatGetValues(v,1,&i,1,&j,va);}
600 
601 PETSC_STATIC_INLINE PetscErrorCode MatSetValueLocal(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValuesLocal(v,1,&i,1,&j,&va,mode);}
602 
603 /*MC
604    MatPreallocateInitialize - Begins the block of code that will count the number of nonzeros per
605        row in a matrix providing the data that one can use to correctly preallocate the matrix.
606 
607    Synopsis:
608    #include <petscmat.h>
609    PetscErrorCode MatPreallocateInitialize(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
610 
611    Collective on MPI_Comm
612 
613    Input Parameters:
614 +  comm - the communicator that will share the eventually allocated matrix
615 .  nrows - the number of LOCAL rows in the matrix
616 -  ncols - the number of LOCAL columns in the matrix
617 
618    Output Parameters:
619 +  dnz - the array that will be passed to the matrix preallocation routines
620 -  ozn - the other array passed to the matrix preallocation routines
621 
622    Level: intermediate
623 
624    Notes:
625     See Users-Manual: ch_performance for more details.
626 
627    Do not malloc or free dnz and onz, that is handled internally by these routines
628 
629    Use MatPreallocateInitializeSymmetric() for symmetric matrices (MPISBAIJ matrices)
630 
631    This is a MACRO not a function because it has a leading { that is closed by PetscPreallocateFinalize().
632 
633   Concepts: preallocation^Matrix
634 
635 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
636           MatPreallocateInitializeSymmetric(), MatPreallocateSymmetricSetLocalBlock()
637 M*/
638 #define MatPreallocateInitialize(comm,nrows,ncols,dnz,onz) 0; \
639 { \
640   PetscErrorCode _4_ierr; PetscInt __nrows = (nrows),__ctmp = (ncols),__rstart,__start,__end; \
641   _4_ierr = PetscCalloc2(__nrows,&dnz,__nrows,&onz);CHKERRQ(_4_ierr); \
642   __start = 0; __end = __start;                                         \
643   _4_ierr = MPI_Scan(&__ctmp,&__end,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __start = __end - __ctmp;\
644   _4_ierr = MPI_Scan(&__nrows,&__rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __nrows;
645 
646 /*MC
647    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
648        inserted using a local number of the rows and columns
649 
650    Synopsis:
651    #include <petscmat.h>
652    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
653 
654    Not Collective
655 
656    Input Parameters:
657 +  map - the row mapping from local numbering to global numbering
658 .  nrows - the number of rows indicated
659 .  rows - the indices of the rows
660 .  cmap - the column mapping from local to global numbering
661 .  ncols - the number of columns in the matrix
662 .  cols - the columns indicated
663 .  dnz - the array that will be passed to the matrix preallocation routines
664 -  ozn - the other array passed to the matrix preallocation routines
665 
666    Level: intermediate
667 
668    Notes:
669     See Users-Manual: ch_performance for more details.
670 
671    Do not malloc or free dnz and onz, that is handled internally by these routines
672 
673   Concepts: preallocation^Matrix
674 
675 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
676           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocalRemoveDups()
677 M*/
678 #define MatPreallocateSetLocal(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
679 {\
680   PetscInt __l;\
681   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
682   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
683   for (__l=0;__l<nrows;__l++) {\
684     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
685   }\
686 }
687 
688 /*MC
689    MatPreallocateSetLocalRemoveDups - Indicates the locations (rows and columns) in the matrix where nonzeros will be
690        inserted using a local number of the rows and columns. This version removes any duplicate columns in cols
691 
692    Synopsis:
693    #include <petscmat.h>
694    PetscErrorCode MatPreallocateSetLocalRemoveDups(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
695 
696    Not Collective
697 
698    Input Parameters:
699 +  map - the row mapping from local numbering to global numbering
700 .  nrows - the number of rows indicated
701 .  rows - the indices of the rows (these values are mapped to the global values)
702 .  cmap - the column mapping from local to global numbering
703 .  ncols - the number of columns in the matrix   (this value will be changed if duplicate columns are found)
704 .  cols - the columns indicated (these values are mapped to the global values, they are then sorted and duplicates removed)
705 .  dnz - the array that will be passed to the matrix preallocation routines
706 -  ozn - the other array passed to the matrix preallocation routines
707 
708    Level: intermediate
709 
710    Notes:
711     See Users-Manual: ch_performance for more details.
712 
713    Do not malloc or free dnz and onz, that is handled internally by these routines
714 
715   Concepts: preallocation^Matrix
716 
717 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
718           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
719 M*/
720 #define MatPreallocateSetLocalRemoveDups(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
721 {\
722   PetscInt __l;\
723   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
724   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
725   _4_ierr = PetscSortRemoveDupsInt(&ncols,cols);CHKERRQ(_4_ierr);\
726   for (__l=0;__l<nrows;__l++) {\
727     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
728   }\
729 }
730 
731 /*MC
732    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
733        inserted using a local number of the rows and columns
734 
735    Synopsis:
736    #include <petscmat.h>
737    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
738 
739    Not Collective
740 
741    Input Parameters:
742 +  map - the row mapping from local numbering to global numbering
743 .  nrows - the number of rows indicated
744 .  rows - the indices of the rows
745 .  cmap - the column mapping from local to global numbering
746 .  ncols - the number of columns in the matrix
747 .  cols - the columns indicated
748 .  dnz - the array that will be passed to the matrix preallocation routines
749 -  ozn - the other array passed to the matrix preallocation routines
750 
751    Level: intermediate
752 
753    Notes:
754     See Users-Manual: ch_performance for more details.
755 
756    Do not malloc or free dnz and onz, that is handled internally by these routines
757 
758   Concepts: preallocation^Matrix
759 
760 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
761           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock()
762 M*/
763 #define MatPreallocateSetLocalBlock(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
764 {\
765   PetscInt __l;\
766   _4_ierr = ISLocalToGlobalMappingApplyBlock(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
767   _4_ierr = ISLocalToGlobalMappingApplyBlock(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
768   for (__l=0;__l<nrows;__l++) {\
769     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
770   }\
771 }
772 
773 /*MC
774    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
775        inserted using a local number of the rows and columns
776 
777    Synopsis:
778    #include <petscmat.h>
779    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
780 
781    Not Collective
782 
783    Input Parameters:
784 +  map - the mapping between local numbering and global numbering
785 .  nrows - the number of rows indicated
786 .  rows - the indices of the rows
787 .  ncols - the number of columns in the matrix
788 .  cols - the columns indicated
789 .  dnz - the array that will be passed to the matrix preallocation routines
790 -  ozn - the other array passed to the matrix preallocation routines
791 
792    Level: intermediate
793 
794    Notes:
795     See Users-Manual: ch_performance for more details.
796 
797    Do not malloc or free dnz and onz that is handled internally by these routines
798 
799   Concepts: preallocation^Matrix
800 
801 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateInitialize(),
802           MatPreallocateInitialize(),  MatPreallocateSetLocal()
803 M*/
804 #define MatPreallocateSymmetricSetLocalBlock(map,nrows,rows,ncols,cols,dnz,onz) 0;\
805 {\
806   PetscInt __l;\
807   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
808   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
809   for (__l=0;__l<nrows;__l++) {\
810     _4_ierr = MatPreallocateSymmetricSetBlock((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
811   }\
812 }
813 /*MC
814    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
815        inserted using a local number of the rows and columns
816 
817    Synopsis:
818    #include <petscmat.h>
819    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
820 
821    Not Collective
822 
823    Input Parameters:
824 +  row - the row
825 .  ncols - the number of columns in the matrix
826 -  cols - the columns indicated
827 
828    Output Parameters:
829 +  dnz - the array that will be passed to the matrix preallocation routines
830 -  ozn - the other array passed to the matrix preallocation routines
831 
832    Level: intermediate
833 
834    Notes:
835     See Users-Manual: ch_performance for more details.
836 
837    Do not malloc or free dnz and onz that is handled internally by these routines
838 
839    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
840 
841   Concepts: preallocation^Matrix
842 
843 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
844           MatPreallocateInitialize(), MatPreallocateSetLocal()
845 M*/
846 #define MatPreallocateSet(row,nc,cols,dnz,onz) 0;\
847 { PetscInt __i; \
848   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);\
849   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);\
850   for (__i=0; __i<nc; __i++) {\
851     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
852     else dnz[row - __rstart]++;\
853   }\
854 }
855 
856 /*MC
857    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
858        inserted using a local number of the rows and columns
859 
860    Synopsis:
861    #include <petscmat.h>
862    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
863 
864    Not Collective
865 
866    Input Parameters:
867 +  nrows - the number of rows indicated
868 .  rows - the indices of the rows
869 .  ncols - the number of columns in the matrix
870 .  cols - the columns indicated
871 .  dnz - the array that will be passed to the matrix preallocation routines
872 -  ozn - the other array passed to the matrix preallocation routines
873 
874    Level: intermediate
875 
876    Notes:
877     See Users-Manual: ch_performance for more details.
878 
879    Do not malloc or free dnz and onz that is handled internally by these routines
880 
881    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
882 
883   Concepts: preallocation^Matrix
884 
885 .seealso: MatPreallocateFinalize(), MatPreallocateSet(),  MatPreallocateInitialize(),
886           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
887 M*/
888 #define MatPreallocateSymmetricSetBlock(row,nc,cols,dnz,onz) 0;\
889 { PetscInt __i; \
890   for (__i=0; __i<nc; __i++) {\
891     if (cols[__i] >= __end) onz[row - __rstart]++; \
892     else if (cols[__i] >= row) dnz[row - __rstart]++;\
893   }\
894 }
895 
896 /*MC
897    MatPreallocateLocation -  An alternative to MatPreallocationSet() that puts the nonzero locations into the matrix if it exists
898 
899    Synopsis:
900    #include <petscmat.h>
901    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
902 
903    Not Collective
904 
905    Input Parameters:
906 .  A - matrix
907 .  row - row where values exist (must be local to this process)
908 .  ncols - number of columns
909 .  cols - columns with nonzeros
910 .  dnz - the array that will be passed to the matrix preallocation routines
911 -  ozn - the other array passed to the matrix preallocation routines
912 
913    Level: intermediate
914 
915    Notes:
916     See Users-Manual: ch_performance for more details.
917 
918    Do not malloc or free dnz and onz that is handled internally by these routines
919 
920    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
921 
922   Concepts: preallocation^Matrix
923 
924 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
925           MatPreallocateSymmetricSetLocalBlock()
926 M*/
927 #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);}
928 
929 
930 /*MC
931    MatPreallocateFinalize - Ends the block of code that will count the number of nonzeros per
932        row in a matrix providing the data that one can use to correctly preallocate the matrix.
933 
934    Synopsis:
935    #include <petscmat.h>
936    PetscErrorCode MatPreallocateFinalize(PetscInt *dnz, PetscInt *onz)
937 
938    Collective on MPI_Comm
939 
940    Input Parameters:
941 +  dnz - the array that was be passed to the matrix preallocation routines
942 -  ozn - the other array passed to the matrix preallocation routines
943 
944    Level: intermediate
945 
946    Notes:
947     See Users-Manual: ch_performance for more details.
948 
949    Do not malloc or free dnz and onz that is handled internally by these routines
950 
951    This is a MACRO not a function because it closes the { started in MatPreallocateInitialize().
952 
953   Concepts: preallocation^Matrix
954 
955 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
956           MatPreallocateSymmetricSetLocalBlock()
957 M*/
958 #define MatPreallocateFinalize(dnz,onz) 0;_4_ierr = PetscFree2(dnz,onz);CHKERRQ(_4_ierr);}
959 
960 /* Routines unique to particular data structures */
961 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat,void *);
962 
963 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat,IS*,IS*);
964 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat,PetscInt *,PetscInt *[],PetscInt *);
965 
966 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat,PetscInt[]);
967 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat,PetscInt[]);
968 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
969 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
970 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
971 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*,PetscInt,PetscBool);
972 
973 #define MAT_SKIP_ALLOCATION -4
974 
975 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
976 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
977 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat,PetscInt,const PetscInt[]);
978 
979 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
980 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
981 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
982 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat,const PetscInt [],const PetscInt [],const PetscScalar []);
983 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
984 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]);
985 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
986 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat,PetscInt[],PetscInt[],PetscInt[]);
987 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
988 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
989 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
990 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
991 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat,Mat*);
992 
993 PETSC_EXTERN PetscErrorCode MatISSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
994 PETSC_EXTERN PetscErrorCode MatISSetUpSF(Mat);
995 PETSC_EXTERN PetscErrorCode MatSeqDenseSetLDA(Mat,PetscInt);
996 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat,Mat*);
997 
998 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
999 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
1000 
1001 PETSC_EXTERN PetscErrorCode MatDAADSetCtx(Mat,void*);
1002 
1003 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat,IS*);
1004 PETSC_EXTERN PetscErrorCode MatFindZeroRows(Mat,IS*);
1005 /*
1006   These routines are not usually accessed directly, rather solving is
1007   done through the KSP and PC interfaces.
1008 */
1009 
1010 /*J
1011     MatOrderingType - String with the name of a PETSc matrix ordering
1012 
1013    Level: beginner
1014 
1015 .seealso: MatGetOrdering()
1016 J*/
1017 typedef const char* MatOrderingType;
1018 #define MATORDERINGNATURAL     "natural"
1019 #define MATORDERINGND          "nd"
1020 #define MATORDERING1WD         "1wd"
1021 #define MATORDERINGRCM         "rcm"
1022 #define MATORDERINGQMD         "qmd"
1023 #define MATORDERINGROWLENGTH   "rowlength"
1024 #define MATORDERINGWBM         "wbm"
1025 #define MATORDERINGSPECTRAL    "spectral"
1026 #define MATORDERINGAMD         "amd"            /* only works if UMFPACK is installed with PETSc */
1027 
1028 PETSC_EXTERN PetscErrorCode MatGetOrdering(Mat,MatOrderingType,IS*,IS*);
1029 PETSC_EXTERN PetscErrorCode MatGetOrderingList(PetscFunctionList*);
1030 PETSC_EXTERN PetscErrorCode MatOrderingRegister(const char[],PetscErrorCode(*)(Mat,MatOrderingType,IS*,IS*));
1031 PETSC_EXTERN PetscFunctionList MatOrderingList;
1032 
1033 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
1034 PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat,PetscReal,PetscBool,Mat*);
1035 
1036 /*S
1037     MatFactorShiftType - Numeric Shift.
1038 
1039    Level: beginner
1040 
1041 S*/
1042 typedef enum {MAT_SHIFT_NONE,MAT_SHIFT_NONZERO,MAT_SHIFT_POSITIVE_DEFINITE,MAT_SHIFT_INBLOCKS} MatFactorShiftType;
1043 PETSC_EXTERN const char *const MatFactorShiftTypes[];
1044 PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];
1045 
1046 /*S
1047     MatFactorError - indicates what type of error in matrix factor
1048 
1049     Level: beginner
1050 
1051     Developer Notes: Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1052 
1053 .seealso: MatGetFactor()
1054 S*/
1055 typedef enum {MAT_FACTOR_NOERROR,MAT_FACTOR_STRUCT_ZEROPIVOT,MAT_FACTOR_NUMERIC_ZEROPIVOT,MAT_FACTOR_OUTMEMORY,MAT_FACTOR_OTHER} MatFactorError;
1056 
1057 PETSC_EXTERN PetscErrorCode MatFactorGetError(Mat,MatFactorError*);
1058 PETSC_EXTERN PetscErrorCode MatFactorClearError(Mat);
1059 PETSC_EXTERN PetscErrorCode MatFactorGetErrorZeroPivot(Mat,PetscReal*,PetscInt*);
1060 
1061 /*S
1062    MatFactorInfo - Data passed into the matrix factorization routines, and information about the resulting factorization
1063 
1064    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE, that is use
1065 $     MatFactorInfo  info(MAT_FACTORINFO_SIZE)
1066 
1067    Notes: These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
1068 
1069       You can use MatFactorInfoInitialize() to set default values.
1070 
1071    Level: developer
1072 
1073 .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor(),
1074           MatFactorInfoInitialize()
1075 
1076 S*/
1077 typedef struct {
1078   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
1079   PetscReal     usedt;
1080   PetscReal     dt;             /* drop tolerance */
1081   PetscReal     dtcol;          /* tolerance for pivoting */
1082   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
1083   PetscReal     fill;           /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1084   PetscReal     levels;         /* ICC/ILU(levels) */
1085   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1086                                    factorization may be faster if do not pivot */
1087   PetscReal     zeropivot;      /* pivot is called zero if less than this */
1088   PetscReal     shifttype;      /* type of shift added to matrix factor to prevent zero pivots */
1089   PetscReal     shiftamount;     /* how large the shift is */
1090 } MatFactorInfo;
1091 
1092 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo*);
1093 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat,IS,const MatFactorInfo*);
1094 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1095 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat,Mat,const MatFactorInfo*);
1096 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat,IS,IS,const MatFactorInfo*);
1097 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat,IS,IS,const MatFactorInfo*);
1098 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1099 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1100 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1101 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat,IS,const MatFactorInfo*);
1102 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat,Mat,const MatFactorInfo*);
1103 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat,PetscInt*,PetscInt*,PetscInt*);
1104 PETSC_EXTERN PetscErrorCode MatSolve(Mat,Vec,Vec);
1105 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat,Vec,Vec);
1106 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat,Vec,Vec);
1107 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat,Vec,Vec,Vec);
1108 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat,Vec,Vec);
1109 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
1110 PETSC_EXTERN PetscErrorCode MatSolves(Mat,Vecs,Vecs);
1111 PETSC_EXTERN PetscErrorCode MatFactorSetSchurIS(Mat,IS);
1112 PETSC_EXTERN PetscErrorCode MatFactorGetSchurComplement(Mat,Mat*);
1113 PETSC_EXTERN PetscErrorCode MatFactorRestoreSchurComplement(Mat,Mat*);
1114 PETSC_EXTERN PetscErrorCode MatFactorInvertSchurComplement(Mat);
1115 PETSC_EXTERN PetscErrorCode MatFactorCreateSchurComplement(Mat,Mat*);
1116 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplement(Mat,Vec,Vec);
1117 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplementTranspose(Mat,Vec,Vec);
1118 PETSC_EXTERN PetscErrorCode MatFactorFactorizeSchurComplement(Mat);
1119 PETSC_EXTERN PetscErrorCode MatFactorSetSchurComplementSolverType(Mat,PetscInt);
1120 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
1121 
1122 /*E
1123     MatSORType - What type of (S)SOR to perform
1124 
1125     Level: beginner
1126 
1127    May be bitwise ORd together
1128 
1129    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1130 
1131    MatSORType may be bitwise ORd together, so do not change the numbers
1132 
1133 .seealso: MatSOR()
1134 E*/
1135 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
1136               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
1137               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
1138               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
1139 PETSC_EXTERN PetscErrorCode MatSOR(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
1140 
1141 /*
1142     These routines are for efficiently computing Jacobians via finite differences.
1143 */
1144 
1145 /*S
1146      MatColoring - Object for managing the coloring of matrices.
1147 
1148    Level: beginner
1149 
1150   Concepts: matrix, coloring
1151 
1152 .seealso:  MatFDColoringCreate() ISColoring MatFDColoring
1153 S*/
1154 typedef struct _p_MatColoring* MatColoring;
1155 /*J
1156     MatColoringType - String with the name of a PETSc matrix coloring
1157 
1158    Level: beginner
1159 
1160 .seealso: MatColoringSetType(), MatColoring
1161 J*/
1162 
1163 typedef const  char*           MatColoringType;
1164 #define MATCOLORINGJP      "jp"
1165 #define MATCOLORINGPOWER   "power"
1166 #define MATCOLORINGNATURAL "natural"
1167 #define MATCOLORINGSL      "sl"
1168 #define MATCOLORINGLF      "lf"
1169 #define MATCOLORINGID      "id"
1170 #define MATCOLORINGGREEDY  "greedy"
1171 
1172 /*E
1173    MatColoringWeightType - Type of weight scheme
1174 
1175     Not Collective
1176 
1177 +   MAT_COLORING_RANDOM  - Random weights
1178 .   MAT_COLORING_LEXICAL - Lexical weighting based upon global numbering.
1179 -   MAT_COLORING_LF      - Last-first weighting.
1180 
1181     Level: intermediate
1182 
1183    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1184 
1185 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1186 E*/
1187 typedef enum {MAT_COLORING_WEIGHT_RANDOM,MAT_COLORING_WEIGHT_LEXICAL,MAT_COLORING_WEIGHT_LF,MAT_COLORING_WEIGHT_SL} MatColoringWeightType;
1188 
1189 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat,MatColoring*);
1190 PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat,PetscInt,PetscInt*);
1191 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring*);
1192 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring,PetscViewer);
1193 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring,MatColoringType);
1194 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1195 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring,PetscInt);
1196 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring,PetscInt*);
1197 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring,PetscInt);
1198 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring,PetscInt*);
1199 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring,ISColoring*);
1200 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[],PetscErrorCode(*)(MatColoring));
1201 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat,PetscInt,PetscInt,ISColoringValue[],ISColoring*);
1202 PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring,MatColoringWeightType);
1203 PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring,PetscReal*,PetscInt*);
1204 PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring,PetscReal **,PetscInt **lperm);
1205 PETSC_EXTERN PetscErrorCode MatColoringTestValid(MatColoring,ISColoring);
1206 
1207 /*S
1208      MatFDColoring - Object for computing a sparse Jacobian via finite differences
1209         and coloring
1210 
1211    Level: beginner
1212 
1213   Concepts: coloring, sparse Jacobian, finite differences
1214 
1215 .seealso:  MatFDColoringCreate()
1216 S*/
1217 typedef struct _p_MatFDColoring* MatFDColoring;
1218 
1219 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
1220 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring*);
1221 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring,PetscViewer);
1222 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring,PetscErrorCode (*)(void),void*);
1223 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring,PetscErrorCode (**)(void),void**);
1224 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
1225 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1226 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat,MatFDColoring,Vec,void *);
1227 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring,Vec);
1228 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring,PetscInt*,PetscInt*[]);
1229 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat,ISColoring,MatFDColoring);
1230 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring,PetscInt,PetscInt);
1231 
1232 
1233 /*S
1234      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring
1235 
1236    Level: beginner
1237 
1238   Concepts: coloring, sparse matrix product
1239 
1240 .seealso:  MatTransposeColoringCreate()
1241 S*/
1242 typedef struct _p_MatTransposeColoring* MatTransposeColoring;
1243 
1244 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat,ISColoring,MatTransposeColoring *);
1245 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring,Mat,Mat);
1246 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring,Mat,Mat);
1247 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring*);
1248 
1249 /*
1250     These routines are for partitioning matrices: currently used only
1251   for adjacency matrix, MatCreateMPIAdj().
1252 */
1253 
1254 /*S
1255      MatPartitioning - Object for managing the partitioning of a matrix or graph
1256 
1257    Level: beginner
1258 
1259   Concepts: partitioning
1260 
1261 .seealso:  MatPartitioningCreate(), MatPartitioningType
1262 S*/
1263 typedef struct _p_MatPartitioning* MatPartitioning;
1264 
1265 /*J
1266     MatPartitioningType - String with the name of a PETSc matrix partitioning
1267 
1268    Level: beginner
1269 dm
1270 .seealso: MatPartitioningCreate(), MatPartitioning
1271 J*/
1272 typedef const char* MatPartitioningType;
1273 #define MATPARTITIONINGCURRENT  "current"
1274 #define MATPARTITIONINGAVERAGE   "average"
1275 #define MATPARTITIONINGSQUARE   "square"
1276 #define MATPARTITIONINGPARMETIS "parmetis"
1277 #define MATPARTITIONINGCHACO    "chaco"
1278 #define MATPARTITIONINGPARTY    "party"
1279 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1280 #define MATPARTITIONINGHIERARCH  "hierarch"
1281 
1282 
1283 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1284 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning,MatPartitioningType);
1285 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning,PetscInt);
1286 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning,Mat);
1287 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning,const PetscInt[]);
1288 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1289 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning,IS*);
1290 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning*);
1291 
1292 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[],PetscErrorCode (*)(MatPartitioning));
1293 
1294 
1295 
1296 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning,PetscViewer);
1297 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1298 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
1299 
1300 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetRepartition(MatPartitioning part);
1301 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1302 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1303 
1304 typedef enum { MP_CHACO_MULTILEVEL=1,MP_CHACO_SPECTRAL=2,MP_CHACO_LINEAR=4,MP_CHACO_RANDOM=5,MP_CHACO_SCATTERED=6 } MPChacoGlobalType;
1305 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1306 typedef enum { MP_CHACO_KERNIGHAN=1,MP_CHACO_NONE=2 } MPChacoLocalType;
1307 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1308 typedef enum { MP_CHACO_LANCZOS=0,MP_CHACO_RQI=1 } MPChacoEigenType;
1309 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1310 
1311 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning,MPChacoGlobalType);
1312 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning,MPChacoGlobalType*);
1313 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning,MPChacoLocalType);
1314 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning,MPChacoLocalType*);
1315 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning,PetscReal);
1316 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning,MPChacoEigenType);
1317 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning,MPChacoEigenType*);
1318 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning,PetscReal);
1319 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning,PetscReal*);
1320 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning,PetscInt);
1321 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning,PetscInt*);
1322 
1323 #define MP_PARTY_OPT "opt"
1324 #define MP_PARTY_LIN "lin"
1325 #define MP_PARTY_SCA "sca"
1326 #define MP_PARTY_RAN "ran"
1327 #define MP_PARTY_GBF "gbf"
1328 #define MP_PARTY_GCF "gcf"
1329 #define MP_PARTY_BUB "bub"
1330 #define MP_PARTY_DEF "def"
1331 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning,const char*);
1332 #define MP_PARTY_HELPFUL_SETS "hs"
1333 #define MP_PARTY_KERNIGHAN_LIN "kl"
1334 #define MP_PARTY_NONE "no"
1335 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning,const char*);
1336 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning,PetscReal);
1337 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning,PetscBool);
1338 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning,PetscBool);
1339 
1340 typedef enum { MP_PTSCOTCH_QUALITY,MP_PTSCOTCH_SPEED,MP_PTSCOTCH_BALANCE,MP_PTSCOTCH_SAFETY,MP_PTSCOTCH_SCALABILITY } MPPTScotchStrategyType;
1341 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1342 
1343 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning,PetscReal);
1344 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning,PetscReal*);
1345 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning,MPPTScotchStrategyType);
1346 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning,MPPTScotchStrategyType*);
1347 
1348 /*
1349  * hierarchical partitioning
1350  */
1351 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetFineparts(MatPartitioning,IS*);
1352 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetCoarseparts(MatPartitioning,IS*);
1353 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNcoarseparts(MatPartitioning,PetscInt);
1354 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNfineparts(MatPartitioning, PetscInt);
1355 
1356 PETSC_EXTERN PetscErrorCode MatMeshToVertexGraph(Mat,PetscInt,Mat*);
1357 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat,PetscInt,Mat*);
1358 
1359 /*
1360     If you add entries here you must also add them to petsc/finclude/petscmat.h
1361 */
1362 typedef enum { MATOP_SET_VALUES=0,
1363                MATOP_GET_ROW=1,
1364                MATOP_RESTORE_ROW=2,
1365                MATOP_MULT=3,
1366                MATOP_MULT_ADD=4,
1367                MATOP_MULT_TRANSPOSE=5,
1368                MATOP_MULT_TRANSPOSE_ADD=6,
1369                MATOP_SOLVE=7,
1370                MATOP_SOLVE_ADD=8,
1371                MATOP_SOLVE_TRANSPOSE=9,
1372                MATOP_SOLVE_TRANSPOSE_ADD=10,
1373                MATOP_LUFACTOR=11,
1374                MATOP_CHOLESKYFACTOR=12,
1375                MATOP_SOR=13,
1376                MATOP_TRANSPOSE=14,
1377                MATOP_GETINFO=15,
1378                MATOP_EQUAL=16,
1379                MATOP_GET_DIAGONAL=17,
1380                MATOP_DIAGONAL_SCALE=18,
1381                MATOP_NORM=19,
1382                MATOP_ASSEMBLY_BEGIN=20,
1383                MATOP_ASSEMBLY_END=21,
1384                MATOP_SET_OPTION=22,
1385                MATOP_ZERO_ENTRIES=23,
1386                MATOP_ZERO_ROWS=24,
1387                MATOP_LUFACTOR_SYMBOLIC=25,
1388                MATOP_LUFACTOR_NUMERIC=26,
1389                MATOP_CHOLESKY_FACTOR_SYMBOLIC=27,
1390                MATOP_CHOLESKY_FACTOR_NUMERIC=28,
1391                MATOP_SETUP_PREALLOCATION=29,
1392                MATOP_ILUFACTOR_SYMBOLIC=30,
1393                MATOP_ICCFACTOR_SYMBOLIC=31,
1394                MATOP_GET_DIAGONAL_BLOCK=32,
1395                /* MATOP_PLACEHOLDER_33=33, */
1396                MATOP_DUPLICATE=34,
1397                MATOP_FORWARD_SOLVE=35,
1398                MATOP_BACKWARD_SOLVE=36,
1399                MATOP_ILUFACTOR=37,
1400                MATOP_ICCFACTOR=38,
1401                MATOP_AXPY=39,
1402                MATOP_CREATE_SUBMATRICES=40,
1403                MATOP_INCREASE_OVERLAP=41,
1404                MATOP_GET_VALUES=42,
1405                MATOP_COPY=43,
1406                MATOP_GET_ROW_MAX=44,
1407                MATOP_SCALE=45,
1408                MATOP_SHIFT=46,
1409                MATOP_DIAGONAL_SET=47,
1410                MATOP_ZERO_ROWS_COLUMNS=48,
1411                MATOP_SET_RANDOM=49,
1412                MATOP_GET_ROW_IJ=50,
1413                MATOP_RESTORE_ROW_IJ=51,
1414                MATOP_GET_COLUMN_IJ=52,
1415                MATOP_RESTORE_COLUMN_IJ=53,
1416                MATOP_FDCOLORING_CREATE=54,
1417                MATOP_COLORING_PATCH=55,
1418                MATOP_SET_UNFACTORED=56,
1419                MATOP_PERMUTE=57,
1420                MATOP_SET_VALUES_BLOCKED=58,
1421                MATOP_CREATE_SUBMATRIX=59,
1422                MATOP_DESTROY=60,
1423                MATOP_VIEW=61,
1424                MATOP_CONVERT_FROM=62,
1425                MATOP_MATMAT_MULT=63,
1426                MATOP_MATMAT_MULT_SYMBOLIC=64,
1427                MATOP_MATMAT_MULT_NUMERIC=65,
1428                MATOP_SET_LOCAL_TO_GLOBAL_MAP=66,
1429                MATOP_SET_VALUES_LOCAL=67,
1430                MATOP_ZERO_ROWS_LOCAL=68,
1431                MATOP_GET_ROW_MAX_ABS=69,
1432                MATOP_GET_ROW_MIN_ABS=70,
1433                MATOP_CONVERT=71,
1434                MATOP_SET_COLORING=72,
1435                /* MATOP_PLACEHOLDER_73=73, */
1436                MATOP_SET_VALUES_ADIFOR=74,
1437                MATOP_FD_COLORING_APPLY=75,
1438                MATOP_SET_FROM_OPTIONS=76,
1439                MATOP_MULT_CONSTRAINED=77,
1440                MATOP_MULT_TRANSPOSE_CONSTRAIN=78,
1441                MATOP_FIND_ZERO_DIAGONALS=79,
1442                MATOP_MULT_MULTIPLE=80,
1443                MATOP_SOLVE_MULTIPLE=81,
1444                MATOP_GET_INERTIA=82,
1445                MATOP_LOAD=83,
1446                MATOP_IS_SYMMETRIC=84,
1447                MATOP_IS_HERMITIAN=85,
1448                MATOP_IS_STRUCTURALLY_SYMMETRIC=86,
1449                MATOP_SET_VALUES_BLOCKEDLOCAL=87,
1450                MATOP_GET_VECS=88,
1451                MATOP_MAT_MULT=89,
1452                MATOP_MAT_MULT_SYMBOLIC=90,
1453                MATOP_MAT_MULT_NUMERIC=91,
1454                MATOP_PTAP=92,
1455                MATOP_PTAP_SYMBOLIC=93,
1456                MATOP_PTAP_NUMERIC=94,
1457                MATOP_MAT_TRANSPOSE_MULT=95,
1458                MATOP_MAT_TRANSPOSE_MULT_SYMBO=96,
1459                MATOP_MAT_TRANSPOSE_MULT_NUMER=97,
1460                /* MATOP_PLACEHOLDER_98=98, */
1461                /* MATOP_PLACEHOLDER_99=99, */
1462                /* MATOP_PLACEHOLDER_100=100, */
1463                /* MATOP_PLACEHOLDER_101=101, */
1464                MATOP_CONJUGATE=102,
1465                /* MATOP_PLACEHOLDER_103=103, */
1466                MATOP_SET_VALUES_ROW=104,
1467                MATOP_REAL_PART=105,
1468                MATOP_IMAGINARY_PART=106,
1469                MATOP_GET_ROW_UPPER_TRIANGULAR=107,
1470                MATOP_RESTORE_ROW_UPPER_TRIANG=108,
1471                MATOP_MAT_SOLVE=109,
1472                MATOP_GET_REDUNDANT_MATRIX=110,
1473                MATOP_GET_ROW_MIN=111,
1474                MATOP_GET_COLUMN_VECTOR=112,
1475                MATOP_MISSING_DIAGONAL=113,
1476                MATOP_GET_SEQ_NONZERO_STRUCTUR=114,
1477                MATOP_CREATE=115,
1478                MATOP_GET_GHOSTS=116,
1479                MATOP_GET_LOCAL_SUB_MATRIX=117,
1480                MATOP_RESTORE_LOCALSUB_MATRIX=118,
1481                MATOP_MULT_DIAGONAL_BLOCK=119,
1482                MATOP_HERMITIAN_TRANSPOSE=120,
1483                MATOP_MULT_HERMITIAN_TRANSPOSE=121,
1484                MATOP_MULT_HERMITIAN_TRANS_ADD=122,
1485                MATOP_GET_MULTI_PROC_BLOCK=123,
1486                MATOP_FIND_NONZERO_ROWS=124,
1487                MATOP_GET_COLUMN_NORMS=125,
1488                MATOP_INVERT_BLOCK_DIAGONAL=126,
1489                /* MATOP_PLACEHOLDER_127=127, */
1490                MATOP_GET_SUB_MATRICES_PARALLE=128,
1491                MATOP_SET_VALUES_BATCH=129,
1492                MATOP_TRANSPOSE_MAT_MULT=130,
1493                MATOP_TRANSPOSE_MAT_MULT_SYMBO=131,
1494                MATOP_TRANSPOSE_MAT_MULT_NUMER=132,
1495                MATOP_TRANSPOSE_COLORING_CREAT=133,
1496                MATOP_TRANS_COLORING_APPLY_SPT=134,
1497                MATOP_TRANS_COLORING_APPLY_DEN=135,
1498                MATOP_RART=136,
1499                MATOP_RART_SYMBOLIC=137,
1500                MATOP_RART_NUMERIC=138,
1501                MATOP_SET_BLOCK_SIZES=139,
1502                MATOP_AYPX=140,
1503                MATOP_RESIDUAL=141,
1504                MATOP_FDCOLORING_SETUP=142,
1505                MATOP_MPICONCATENATESEQ=144
1506              } MatOperation;
1507 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat,MatOperation,PetscBool *);
1508 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat,MatOperation,void(*)(void));
1509 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat,MatOperation,void(**)(void));
1510 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat,void*);
1511 
1512 /*
1513    Codes for matrices stored on disk. By default they are
1514    stored in a universal format. By changing the format with
1515    PetscViewerPushFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
1516    be stored in a way natural for the matrix, for example dense matrices
1517    would be stored as dense. Matrices stored this way may only be
1518    read into matrices of the same type.
1519 */
1520 #define MATRIX_BINARY_FORMAT_DENSE -1
1521 
1522 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1523 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat,Mat*);
1524 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat,Mat);
1525 PETSC_EXTERN PetscErrorCode MatISGetMPIXAIJ(Mat,MatReuse,Mat*);
1526 
1527 /*S
1528      MatNullSpace - Object that removes a null space from a vector, i.e.
1529          orthogonalizes the vector to a subsapce
1530 
1531    Level: advanced
1532 
1533   Concepts: matrix; linear operator, null space
1534 
1535   Users manual sections:
1536 .   sec_singular
1537 
1538 .seealso:  MatNullSpaceCreate()
1539 S*/
1540 typedef struct _p_MatNullSpace* MatNullSpace;
1541 
1542 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm,PetscBool ,PetscInt,const Vec[],MatNullSpace*);
1543 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace,PetscErrorCode (*)(MatNullSpace,Vec,void*),void*);
1544 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace*);
1545 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace,Vec);
1546 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
1547 PETSC_EXTERN PetscErrorCode MatGetTransposeNullSpace(Mat, MatNullSpace *);
1548 PETSC_EXTERN PetscErrorCode MatSetTransposeNullSpace(Mat,MatNullSpace);
1549 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat,MatNullSpace);
1550 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat,MatNullSpace);
1551 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat,MatNullSpace*);
1552 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace,Mat,PetscBool  *);
1553 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace,PetscViewer);
1554 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace,PetscBool*,PetscInt*,const Vec**);
1555 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec,MatNullSpace*);
1556 
1557 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat,IS);
1558 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1559 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat,PetscInt *);
1560 PETSC_EXTERN PetscErrorCode MatSeqBAIJInvertBlockDiagonal(Mat);
1561 
1562 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat,PetscInt,Mat*);
1563 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat,PetscInt,Mat*);
1564 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat,Mat*);
1565 
1566 PETSC_EXTERN PetscErrorCode MatComputeExplicitOperator(Mat,Mat*);
1567 
1568 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat,Vec);
1569 
1570 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
1571 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat,Vec,Vec);
1572 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat,PetscErrorCode(*)(void*,Vec,Vec),void*);
1573 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat,PetscErrorCode (*)(void*,PetscInt,Vec,PetscScalar*));
1574 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat,PetscErrorCode (*)(void*,Vec));
1575 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat,PetscScalar[],PetscInt);
1576 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
1577 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat,PetscReal);
1578 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat,PetscInt);
1579 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat,PetscScalar *);
1580 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat,const char[]);
1581 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void*,Vec,Vec,PetscScalar*);
1582 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat,PetscErrorCode (*)(void*,Vec,Vec,PetscScalar*),void*);
1583 
1584 /*S
1585     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
1586               Jacobian vector products
1587 
1588     Notes: MATMFFD is a specific MatType which uses the MatMFFD data structure
1589 
1590            MatMFFD*() methods actually take the Mat as their first argument. Not a MatMFFD data structure
1591 
1592     Level: developer
1593 
1594 .seealso: MATMFFD, MatCreateMFFD(), MatMFFDSetFuction(), MatMFFDSetType(), MatMFFDRegister()
1595 S*/
1596 typedef struct _p_MatMFFD* MatMFFD;
1597 
1598 /*J
1599     MatMFFDType - algorithm used to compute the h used in computing matrix-vector products via differencing of the function
1600 
1601    Level: beginner
1602 
1603 .seealso: MatMFFDSetType(), MatMFFDRegister()
1604 J*/
1605 typedef const char* MatMFFDType;
1606 #define MATMFFD_DS  "ds"
1607 #define MATMFFD_WP  "wp"
1608 
1609 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat,MatMFFDType);
1610 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[],PetscErrorCode (*)(MatMFFD));
1611 
1612 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat,PetscReal);
1613 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat,PetscBool );
1614 
1615 PETSC_EXTERN PetscErrorCode MatFDColoringSetType(MatFDColoring,MatMFFDType);
1616 
1617 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
1618 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
1619 
1620 /*
1621    PETSc interface to MUMPS
1622 */
1623 #ifdef PETSC_HAVE_MUMPS
1624 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat,PetscInt,PetscInt);
1625 PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat,PetscInt,PetscInt*);
1626 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat,PetscInt,PetscReal);
1627 PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat,PetscInt,PetscReal*);
1628 
1629 PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat,PetscInt,PetscInt*);
1630 PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat,PetscInt,PetscInt*);
1631 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat,PetscInt,PetscReal*);
1632 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat,PetscInt,PetscReal*);
1633 #endif
1634 
1635 /*
1636    PETSc interface to Mkl_Pardiso
1637 */
1638 #ifdef PETSC_HAVE_MKL_PARDISO
1639 PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat,PetscInt,PetscInt);
1640 #endif
1641 
1642 /*
1643    PETSc interface to Mkl_CPardiso
1644 */
1645 #ifdef PETSC_HAVE_MKL_CPARDISO
1646 PETSC_EXTERN PetscErrorCode MatMkl_CPardisoSetCntl(Mat,PetscInt,PetscInt);
1647 #endif
1648 
1649 /*
1650    PETSc interface to SUPERLU
1651 */
1652 #ifdef PETSC_HAVE_SUPERLU
1653 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat,PetscReal);
1654 #endif
1655 
1656 /*
1657    PETSc interface to SUPERLU_DIST
1658 */
1659 #ifdef PETSC_HAVE_SUPERLU_DIST
1660 PETSC_EXTERN PetscErrorCode MatSuperluDistGetDiagU(Mat,PetscScalar*);
1661 #endif
1662 
1663 /*
1664    PETSc interface to STRUMPACK
1665 */
1666 #ifdef PETSC_HAVE_STRUMPACK
1667 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSRelCompTol(Mat,PetscReal);
1668 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMinSize(Mat,PetscInt);
1669 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetColPerm(Mat,PetscBool);
1670 #endif
1671 
1672 
1673 #ifdef PETSC_HAVE_CUDA
1674 /*E
1675     MatCUSPARSEStorageFormat - indicates the storage format for CUSPARSE (GPU)
1676     matrices.
1677 
1678     Not Collective
1679 
1680 +   MAT_CUSPARSE_CSR - Compressed Sparse Row
1681 .   MAT_CUSPARSE_ELL - Ellpack (requires CUDA 4.2 or later).
1682 -   MAT_CUSPARSE_HYB - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
1683 
1684     Level: intermediate
1685 
1686    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1687 
1688 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEFormatOperation
1689 E*/
1690 
1691 typedef enum {MAT_CUSPARSE_CSR, MAT_CUSPARSE_ELL, MAT_CUSPARSE_HYB} MatCUSPARSEStorageFormat;
1692 
1693 /* these will be strings associated with enumerated type defined above */
1694 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
1695 
1696 /*E
1697     MatCUSPARSEFormatOperation - indicates the operation of CUSPARSE (GPU)
1698     matrices whose operation should use a particular storage format.
1699 
1700     Not Collective
1701 
1702 +   MAT_CUSPARSE_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1703 .   MAT_CUSPARSE_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1704 .   MAT_CUSPARSE_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1705 -   MAT_CUSPARSE_ALL - sets the storage format for all CUSPARSE (GPU) matrices
1706 
1707     Level: intermediate
1708 
1709 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEStorageFormat
1710 E*/
1711 typedef enum {MAT_CUSPARSE_MULT_DIAG, MAT_CUSPARSE_MULT_OFFDIAG, MAT_CUSPARSE_MULT, MAT_CUSPARSE_ALL} MatCUSPARSEFormatOperation;
1712 
1713 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1714 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1715 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat,MatCUSPARSEFormatOperation,MatCUSPARSEStorageFormat);
1716 #endif
1717 
1718 #if defined(PETSC_HAVE_CUSP)
1719 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1720 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1721 
1722 /*E
1723     MatCUSPStorageFormat - indicates the storage format for CUSP (GPU)
1724     matrices.
1725 
1726     Not Collective
1727 
1728 +   MAT_CUSP_CSR - Compressed Sparse Row
1729 .   MAT_CUSP_DIA - Diagonal
1730 -   MAT_CUSP_ELL - Ellpack
1731 
1732     Level: intermediate
1733 
1734    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1735 
1736 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1737 E*/
1738 typedef enum {MAT_CUSP_CSR, MAT_CUSP_DIA, MAT_CUSP_ELL} MatCUSPStorageFormat;
1739 
1740 /* these will be strings associated with enumerated type defined above */
1741 PETSC_EXTERN const char *const MatCUSPStorageFormats[];
1742 
1743 /*E
1744     MatCUSPFormatOperation - indicates the operation of CUSP (GPU)
1745     matrices whose operation should use a particular storage format.
1746 
1747     Not Collective
1748 
1749 +   MAT_CUSP_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1750 .   MAT_CUSP_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1751 .   MAT_CUSP_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1752 -   MAT_CUSP_ALL - sets the storage format for all CUSP (GPU) matrices
1753 
1754     Level: intermediate
1755 
1756    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1757 
1758 .seealso: MatCUSPSetFormat(), MatCUSPStorageFormat
1759 E*/
1760 typedef enum {MAT_CUSP_MULT_DIAG, MAT_CUSP_MULT_OFFDIAG, MAT_CUSP_MULT, MAT_CUSP_ALL} MatCUSPFormatOperation;
1761 
1762 PETSC_EXTERN PetscErrorCode MatCUSPSetFormat(Mat,MatCUSPFormatOperation,MatCUSPStorageFormat);
1763 #endif
1764 
1765 #if defined(PETSC_HAVE_VIENNACL)
1766 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1767 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1768 #endif
1769 
1770 /*
1771    PETSc interface to FFTW
1772 */
1773 #if defined(PETSC_HAVE_FFTW)
1774 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat,Vec,Vec);
1775 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat,Vec,Vec);
1776 PETSC_EXTERN PetscErrorCode MatCreateVecsFFTW(Mat,Vec*,Vec*,Vec*);
1777 #endif
1778 
1779 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm,PetscInt,const IS[],PetscInt,const IS[],const Mat[],Mat*);
1780 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat,PetscInt*,PetscInt*);
1781 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat,IS[],IS[]);
1782 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat,IS[],IS[]);
1783 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat,PetscInt*,PetscInt*,Mat***);
1784 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat,PetscInt,PetscInt,Mat*);
1785 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat,VecType);
1786 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat,PetscInt,const IS[],PetscInt,const IS[],const Mat[]);
1787 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat,PetscInt,PetscInt,Mat);
1788 
1789 PETSC_EXTERN PetscErrorCode MatChop(Mat,PetscReal);
1790 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat,PetscReal,PetscInt*);
1791 
1792 PETSC_EXTERN PetscErrorCode MatSubdomainsCreateCoalesce(Mat,PetscInt,PetscInt*,IS**);
1793 
1794 PETSC_EXTERN PetscErrorCode MatPreallocatorPreallocate(Mat,PetscBool,Mat);
1795 
1796 PETSC_INTERN PetscErrorCode MatHeaderMerge(Mat,Mat*);
1797 PETSC_EXTERN PetscErrorCode MatHeaderReplace(Mat,Mat*);
1798 
1799 #endif
1800