xref: /petsc/include/petscmat.h (revision ccb4e88a40f0b86eaeca07ff64c64e4de2fae686)
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 .seealso:  MatCreate(), MatType, MatSetType(), MatDestroy()
15 S*/
16 typedef struct _p_Mat*           Mat;
17 
18 /*J
19     MatType - String with the name of a PETSc matrix type
20 
21    Level: beginner
22 
23 .seealso: MatSetType(), Mat, MatSolverType, MatRegister()
24 J*/
25 typedef const char* MatType;
26 #define MATSAME            "same"
27 #define MATMAIJ            "maij"
28 #define MATSEQMAIJ         "seqmaij"
29 #define MATMPIMAIJ         "mpimaij"
30 #define MATKAIJ            "kaij"
31 #define MATSEQKAIJ         "seqkaij"
32 #define MATMPIKAIJ         "mpikaij"
33 #define MATIS              "is"
34 #define MATAIJ             "aij"
35 #define MATSEQAIJ          "seqaij"
36 #define MATMPIAIJ          "mpiaij"
37 #define MATAIJCRL          "aijcrl"
38 #define MATSEQAIJCRL       "seqaijcrl"
39 #define MATMPIAIJCRL       "mpiaijcrl"
40 #define MATAIJCUSPARSE     "aijcusparse"
41 #define MATSEQAIJCUSPARSE  "seqaijcusparse"
42 #define MATMPIAIJCUSPARSE  "mpiaijcusparse"
43 #define MATAIJKOKKOS       "aijkokkos"
44 #define MATSEQAIJKOKKOS    "seqaijkokkos"
45 #define MATMPIAIJKOKKOS    "mpiaijkokkos"
46 #define MATAIJVIENNACL     "aijviennacl"
47 #define MATSEQAIJVIENNACL  "seqaijviennacl"
48 #define MATMPIAIJVIENNACL  "mpiaijviennacl"
49 #define MATAIJPERM         "aijperm"
50 #define MATSEQAIJPERM      "seqaijperm"
51 #define MATMPIAIJPERM      "mpiaijperm"
52 #define MATAIJSELL         "aijsell"
53 #define MATSEQAIJSELL      "seqaijsell"
54 #define MATMPIAIJSELL      "mpiaijsell"
55 #define MATAIJMKL          "aijmkl"
56 #define MATSEQAIJMKL       "seqaijmkl"
57 #define MATMPIAIJMKL       "mpiaijmkl"
58 #define MATBAIJMKL         "baijmkl"
59 #define MATSEQBAIJMKL      "seqbaijmkl"
60 #define MATMPIBAIJMKL      "mpibaijmkl"
61 #define MATSHELL           "shell"
62 #define MATCENTERING       "centering"
63 #define MATDENSE           "dense"
64 #define MATDENSECUDA       "densecuda"
65 #define MATSEQDENSE        "seqdense"
66 #define MATSEQDENSECUDA    "seqdensecuda"
67 #define MATMPIDENSE        "mpidense"
68 #define MATMPIDENSECUDA    "mpidensecuda"
69 #define MATELEMENTAL       "elemental"
70 #define MATSCALAPACK       "scalapack"
71 #define MATBAIJ            "baij"
72 #define MATSEQBAIJ         "seqbaij"
73 #define MATMPIBAIJ         "mpibaij"
74 #define MATMPIADJ          "mpiadj"
75 #define MATSBAIJ           "sbaij"
76 #define MATSEQSBAIJ        "seqsbaij"
77 #define MATMPISBAIJ        "mpisbaij"
78 #define MATMFFD            "mffd"
79 #define MATNORMAL          "normal"
80 #define MATNORMALHERMITIAN "normalh"
81 #define MATLRC             "lrc"
82 #define MATSCATTER         "scatter"
83 #define MATBLOCKMAT        "blockmat"
84 #define MATCOMPOSITE       "composite"
85 #define MATFFT             "fft"
86 #define MATFFTW            "fftw"
87 #define MATSEQCUFFT        "seqcufft"
88 #define MATTRANSPOSEMAT    "transpose"
89 #define MATSCHURCOMPLEMENT "schurcomplement"
90 #define MATPYTHON          "python"
91 #define MATHYPRE           "hypre"
92 #define MATHYPRESTRUCT     "hyprestruct"
93 #define MATHYPRESSTRUCT    "hypresstruct"
94 #define MATSUBMATRIX       "submatrix"
95 #define MATLOCALREF        "localref"
96 #define MATNEST            "nest"
97 #define MATPREALLOCATOR    "preallocator"
98 #define MATSELL            "sell"
99 #define MATSEQSELL         "seqsell"
100 #define MATMPISELL         "mpisell"
101 #define MATDUMMY           "dummy"
102 #define MATLMVM            "lmvm"
103 #define MATLMVMDFP         "lmvmdfp"
104 #define MATLMVMBFGS        "lmvmbfgs"
105 #define MATLMVMSR1         "lmvmsr1"
106 #define MATLMVMBROYDEN     "lmvmbroyden"
107 #define MATLMVMBADBROYDEN  "lmvmbadbroyden"
108 #define MATLMVMSYMBROYDEN  "lmvmsymbroyden"
109 #define MATLMVMSYMBADBROYDEN "lmvmsymbadbroyden"
110 #define MATLMVMDIAGBROYDEN   "lmvmdiagbroyden"
111 #define MATCONSTANTDIAGONAL  "constantdiagonal"
112 #define MATHTOOL           "htool"
113 #define MATH2OPUS          "h2opus"
114 
115 /*J
116     MatSolverType - String with the name of a PETSc matrix solver type.
117 
118     For example: "petsc" indicates what PETSc provides, "superlu_dist" the parallel SuperLU_DIST package etc
119 
120    Level: beginner
121 
122    Notes:  MATSOLVERUMFPACK, MATSOLVERCHOLMOD, MATSOLVERKLU, MATSOLVERSPQR form the SuiteSparse package for which you can use --download-suitesparse
123 
124 .seealso: MatGetFactor(), PCFactorSetMatSolverType(), PCFactorGetMatSolverType()
125 J*/
126 typedef const char* MatSolverType;
127 #define MATSOLVERSUPERLU          "superlu"
128 #define MATSOLVERSUPERLU_DIST     "superlu_dist"
129 #define MATSOLVERSTRUMPACK        "strumpack"
130 #define MATSOLVERUMFPACK          "umfpack"
131 #define MATSOLVERCHOLMOD          "cholmod"
132 #define MATSOLVERKLU              "klu"
133 #define MATSOLVERSPARSEELEMENTAL  "sparseelemental"
134 #define MATSOLVERELEMENTAL        "elemental"
135 #define MATSOLVERSCALAPACK        "scalapack"
136 #define MATSOLVERESSL             "essl"
137 #define MATSOLVERLUSOL            "lusol"
138 #define MATSOLVERMUMPS            "mumps"
139 #define MATSOLVERMKL_PARDISO      "mkl_pardiso"
140 #define MATSOLVERMKL_CPARDISO     "mkl_cpardiso"
141 #define MATSOLVERPASTIX           "pastix"
142 #define MATSOLVERMATLAB           "matlab"
143 #define MATSOLVERPETSC            "petsc"
144 #define MATSOLVERBAS              "bas"
145 #define MATSOLVERCUSPARSE         "cusparse"
146 #define MATSOLVERCUSPARSEBAND     "cusparseband"
147 #define MATSOLVERCUDA             "cuda"
148 #define MATSOLVERKOKKOS           "kokkos"
149 #define MATSOLVERKOKKOSDEVICE     "kokkosdevice"
150 #define MATSOLVERSPQR             "spqr"
151 
152 /*E
153     MatFactorType - indicates what type of factorization is requested
154 
155     Level: beginner
156 
157    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
158 
159 .seealso: MatSolverType, MatGetFactor(), MatGetFactorAvailable(), MatSolverTypeRegister()
160 E*/
161 typedef enum {MAT_FACTOR_NONE, MAT_FACTOR_LU, MAT_FACTOR_CHOLESKY, MAT_FACTOR_ILU, MAT_FACTOR_ICC, MAT_FACTOR_ILUDT, MAT_FACTOR_QR, MAT_FACTOR_NUM_TYPES} MatFactorType;
162 PETSC_EXTERN const char *const MatFactorTypes[];
163 
164 PETSC_EXTERN PetscErrorCode MatGetFactor(Mat,MatSolverType,MatFactorType,Mat*);
165 PETSC_EXTERN PetscErrorCode MatGetFactorAvailable(Mat,MatSolverType,MatFactorType,PetscBool *);
166 PETSC_EXTERN PetscErrorCode MatFactorGetCanUseOrdering(Mat, PetscBool*);
167 PETSC_DEPRECATED_FUNCTION("Use MatFactorGetCanUseOrdering() (since version 3.15)") PETSC_STATIC_INLINE PetscErrorCode MatFactorGetUseOrdering(Mat A,PetscBool *b) {return MatFactorGetCanUseOrdering(A,b);}
168 PETSC_EXTERN PetscErrorCode MatFactorGetSolverType(Mat,MatSolverType*);
169 PETSC_EXTERN PetscErrorCode MatGetFactorType(Mat,MatFactorType*);
170 PETSC_EXTERN PetscErrorCode MatSetFactorType(Mat,MatFactorType);
171 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode (*MatSolverFunction)(Mat,MatFactorType,Mat*);
172 PETSC_EXTERN PetscErrorCode MatSolverTypeRegister(MatSolverType,MatType,MatFactorType,MatSolverFunction);
173 PETSC_EXTERN PetscErrorCode MatSolverTypeGet(MatSolverType,MatType,MatFactorType,PetscBool*,PetscBool*,MatSolverFunction*);
174 typedef MatSolverType MatSolverPackage PETSC_DEPRECATED_TYPEDEF("Use MatSolverType (since version 3.9)");
175 PETSC_DEPRECATED_FUNCTION("Use MatSolverTypeRegister() (since version 3.9)") PETSC_STATIC_INLINE PetscErrorCode MatSolverPackageRegister(MatSolverType stype,MatType mtype,MatFactorType ftype,MatSolverFunction f)
176 { return MatSolverTypeRegister(stype,mtype,ftype,f); }
177 PETSC_DEPRECATED_FUNCTION("Use MatSolverTypeGet() (since version 3.9)") PETSC_STATIC_INLINE PetscErrorCode MatSolverPackageGet(MatSolverType stype,MatType mtype,MatFactorType ftype,PetscBool *foundmtype,PetscBool *foundstype,MatSolverFunction *f)
178 { return MatSolverTypeGet(stype,mtype,ftype,foundmtype,foundstype,f); }
179 
180 /*E
181     MatProductType - indicates what type of matrix product is requested
182 
183     Level: beginner
184 
185 .seealso: MatSolverType, MatProductSetType()
186 E*/
187 typedef enum {MATPRODUCT_UNSPECIFIED=0,MATPRODUCT_AB,MATPRODUCT_AtB,MATPRODUCT_ABt,MATPRODUCT_PtAP,MATPRODUCT_RARt,MATPRODUCT_ABC} MatProductType;
188 PETSC_EXTERN const char *const MatProductTypes[];
189 
190 /*J
191     MatProductAlgorithm - String with the name of an algorithm for a PETSc matrix product implementation
192 
193    Level: beginner
194 
195 .seealso: MatSetType(), Mat, MatSolverType, MatRegister(), MatProductSetAlgorithm(), MatProductType
196 J*/
197 typedef const char* MatProductAlgorithm;
198 #define MATPRODUCTALGORITHM_DEFAULT "default"
199 
200 PETSC_EXTERN PetscErrorCode MatProductCreate(Mat,Mat,Mat,Mat*);
201 PETSC_EXTERN PetscErrorCode MatProductCreateWithMat(Mat,Mat,Mat,Mat);
202 PETSC_EXTERN PetscErrorCode MatProductSetType(Mat,MatProductType);
203 PETSC_EXTERN PetscErrorCode MatProductSetAlgorithm(Mat,MatProductAlgorithm);
204 PETSC_EXTERN PetscErrorCode MatProductSetFill(Mat,PetscReal);
205 PETSC_EXTERN PetscErrorCode MatProductSetFromOptions(Mat);
206 PETSC_EXTERN PetscErrorCode MatProductSymbolic(Mat);
207 PETSC_EXTERN PetscErrorCode MatProductNumeric(Mat);
208 PETSC_EXTERN PetscErrorCode MatProductReplaceMats(Mat,Mat,Mat,Mat);
209 PETSC_EXTERN PetscErrorCode MatProductClear(Mat);
210 PETSC_EXTERN PetscErrorCode MatProductView(Mat,PetscViewer);
211 
212 /* Logging support */
213 #define    MAT_FILE_CLASSID 1211216    /* used to indicate matrices in binary files */
214 PETSC_EXTERN PetscClassId MAT_CLASSID;
215 PETSC_EXTERN PetscClassId MAT_COLORING_CLASSID;
216 PETSC_EXTERN PetscClassId MAT_FDCOLORING_CLASSID;
217 PETSC_EXTERN PetscClassId MAT_TRANSPOSECOLORING_CLASSID;
218 PETSC_EXTERN PetscClassId MAT_PARTITIONING_CLASSID;
219 PETSC_EXTERN PetscClassId MAT_COARSEN_CLASSID;
220 PETSC_EXTERN PetscClassId MAT_NULLSPACE_CLASSID;
221 PETSC_EXTERN PetscClassId MATMFFD_CLASSID;
222 
223 /*E
224     MatReuse - Indicates if matrices obtained from a previous call to MatCreateSubMatrices(), MatCreateSubMatrix(), MatConvert() or several other functions
225      are to be reused to store the new matrix values.
226 
227 $  MAT_INITIAL_MATRIX - create a new matrix
228 $  MAT_REUSE_MATRIX - reuse the matrix created with a previous call that used MAT_INITIAL_MATRIX
229 $  MAT_INPLACE_MATRIX - replace the first input matrix with the new matrix (not applicable to all functions)
230 $  MAT_IGNORE_MATRIX - do not create a new matrix or reuse a give matrix, just ignore that matrix argument (not applicable to all functions)
231 
232     Level: beginner
233 
234    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
235 
236 .seealso: MatCreateSubMatrices(), MatCreateSubMatrix(), MatDestroyMatrices(), MatConvert()
237 E*/
238 typedef enum {MAT_INITIAL_MATRIX,MAT_REUSE_MATRIX,MAT_IGNORE_MATRIX,MAT_INPLACE_MATRIX} MatReuse;
239 
240 /*E
241     MatCreateSubMatrixOption - Indicates if matrices obtained from a call to MatCreateSubMatrices()
242      include the matrix values. Currently it is only used by MatGetSeqNonzeroStructure().
243 
244     Level: beginner
245 
246 .seealso: MatGetSeqNonzeroStructure()
247 E*/
248 typedef enum {MAT_DO_NOT_GET_VALUES,MAT_GET_VALUES} MatCreateSubMatrixOption;
249 
250 PETSC_EXTERN PetscErrorCode MatInitializePackage(void);
251 
252 PETSC_EXTERN PetscErrorCode MatCreate(MPI_Comm,Mat*);
253 PETSC_EXTERN PetscErrorCode MatSetSizes(Mat,PetscInt,PetscInt,PetscInt,PetscInt);
254 PETSC_EXTERN PetscErrorCode MatSetType(Mat,MatType);
255 PETSC_EXTERN PetscErrorCode MatGetVecType(Mat,VecType*);
256 PETSC_EXTERN PetscErrorCode MatSetVecType(Mat,VecType);
257 PETSC_EXTERN PetscErrorCode MatSetFromOptions(Mat);
258 PETSC_EXTERN PetscErrorCode MatViewFromOptions(Mat,PetscObject,const char[]);
259 PETSC_EXTERN PetscErrorCode MatRegister(const char[],PetscErrorCode(*)(Mat));
260 PETSC_EXTERN PetscErrorCode MatRegisterRootName(const char[],const char[],const char[]);
261 PETSC_EXTERN PetscErrorCode MatSetOptionsPrefix(Mat,const char[]);
262 PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefix(Mat,const char[]);
263 PETSC_EXTERN PetscErrorCode MatGetOptionsPrefix(Mat,const char*[]);
264 PETSC_EXTERN PetscErrorCode MatSetErrorIfFailure(Mat,PetscBool);
265 
266 PETSC_EXTERN PetscFunctionList MatList;
267 PETSC_EXTERN PetscFunctionList MatColoringList;
268 PETSC_EXTERN PetscFunctionList MatPartitioningList;
269 
270 /*E
271     MatStructure - Indicates if two matrices have the same nonzero structure
272 
273     Level: beginner
274 
275 $  SAME_NONZERO_PATTERN  - the two matrices have identical nonzero patterns
276 $  DIFFERENT_NONZERO_PATTERN - the two matrices may have different nonzero patterns
277 $  SUBSET_NONZERO_PATTERN - the nonzero pattern of the second matrix is a subset of the nonzero pattern of the first matrix
278 $  UNKNOWN_NONZERO_PATTERN - there is no known relationship between the nonzero patterns. In this case the implementations may try to detect a relationship to optimize the operation
279 
280    Developer Notes:
281      Any additions/changes here MUST also be made in src/mat/f90-mod/petscmat.h
282 
283 .seealso: MatCopy(), MatAXPY(), MatAYPX()
284 E*/
285 typedef enum {DIFFERENT_NONZERO_PATTERN,SUBSET_NONZERO_PATTERN,SAME_NONZERO_PATTERN,UNKNOWN_NONZERO_PATTERN} MatStructure;
286 PETSC_EXTERN const char *const MatStructures[];
287 
288 #if defined PETSC_HAVE_MKL_SPARSE
289 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJMKL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
290 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJMKL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
291 PETSC_EXTERN PetscErrorCode MatCreateBAIJMKL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
292 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJMKL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
293 #endif
294 
295 PETSC_EXTERN PetscErrorCode MatCreateSeqSELL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
296 PETSC_EXTERN PetscErrorCode MatCreateSELL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
297 PETSC_EXTERN PetscErrorCode MatSeqSELLSetPreallocation(Mat,PetscInt,const PetscInt[]);
298 PETSC_EXTERN PetscErrorCode MatMPISELLSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
299 
300 PETSC_EXTERN PetscErrorCode MatCreateSeqDense(MPI_Comm,PetscInt,PetscInt,PetscScalar[],Mat*);
301 PETSC_EXTERN PetscErrorCode MatCreateDense(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar[],Mat*);
302 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
303 PETSC_EXTERN PetscErrorCode MatCreateAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
304 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat*);
305 PETSC_EXTERN PetscErrorCode MatUpdateMPIAIJWithArrays(Mat,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
306 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSplitArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],PetscInt[],PetscInt[],PetscScalar[],Mat*);
307 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSeqAIJ(MPI_Comm,Mat,Mat,const PetscInt[],Mat*);
308 
309 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
310 PETSC_EXTERN PetscErrorCode MatCreateBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
311 PETSC_EXTERN PetscErrorCode MatCreateMPIBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat*);
312 
313 PETSC_EXTERN PetscErrorCode MatSetPreallocationCOO(Mat,PetscInt,const PetscInt[],const PetscInt[]);
314 PETSC_EXTERN PetscErrorCode MatSetValuesCOO(Mat,const PetscScalar[],InsertMode);
315 
316 PETSC_EXTERN PetscErrorCode MatCreateMPIAdj(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscInt[],Mat*);
317 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
318 
319 PETSC_EXTERN PetscErrorCode MatCreateSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
320 PETSC_EXTERN PetscErrorCode MatCreateMPISBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
321 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
322 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
323 PETSC_EXTERN PetscErrorCode MatXAIJSetPreallocation(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscInt[],const PetscInt[]);
324 
325 PETSC_EXTERN PetscErrorCode MatCreateShell(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,void *,Mat*);
326 PETSC_EXTERN PetscErrorCode MatCreateCentering(MPI_Comm,PetscInt,PetscInt,Mat*);
327 PETSC_EXTERN PetscErrorCode MatCreateNormal(Mat,Mat*);
328 PETSC_EXTERN PetscErrorCode MatCreateNormalHermitian(Mat,Mat*);
329 PETSC_EXTERN PetscErrorCode MatCreateLRC(Mat,Mat,Vec,Mat,Mat*);
330 PETSC_EXTERN PetscErrorCode MatLRCGetMats(Mat,Mat*,Mat*,Vec*,Mat*);
331 PETSC_EXTERN PetscErrorCode MatCreateIS(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,ISLocalToGlobalMapping,ISLocalToGlobalMapping,Mat*);
332 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
333 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
334 
335 PETSC_EXTERN PetscErrorCode MatCreateScatter(MPI_Comm,VecScatter,Mat*);
336 PETSC_EXTERN PetscErrorCode MatScatterSetVecScatter(Mat,VecScatter);
337 PETSC_EXTERN PetscErrorCode MatScatterGetVecScatter(Mat,VecScatter*);
338 PETSC_EXTERN PetscErrorCode MatCreateBlockMat(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt*,Mat*);
339 PETSC_EXTERN PetscErrorCode MatCompositeAddMat(Mat,Mat);
340 PETSC_EXTERN PetscErrorCode MatCompositeMerge(Mat);
341 typedef enum {MAT_COMPOSITE_MERGE_RIGHT,MAT_COMPOSITE_MERGE_LEFT} MatCompositeMergeType;
342 PETSC_EXTERN PetscErrorCode MatCompositeSetMergeType(Mat,MatCompositeMergeType);
343 PETSC_EXTERN PetscErrorCode MatCreateComposite(MPI_Comm,PetscInt,const Mat*,Mat*);
344 typedef enum {MAT_COMPOSITE_ADDITIVE,MAT_COMPOSITE_MULTIPLICATIVE} MatCompositeType;
345 PETSC_EXTERN PetscErrorCode MatCompositeSetType(Mat,MatCompositeType);
346 PETSC_EXTERN PetscErrorCode MatCompositeGetType(Mat,MatCompositeType*);
347 PETSC_EXTERN PetscErrorCode MatCompositeSetMatStructure(Mat,MatStructure);
348 PETSC_EXTERN PetscErrorCode MatCompositeGetMatStructure(Mat,MatStructure*);
349 PETSC_EXTERN PetscErrorCode MatCompositeGetNumberMat(Mat,PetscInt*);
350 PETSC_EXTERN PetscErrorCode MatCompositeGetMat(Mat,PetscInt,Mat*);
351 PETSC_EXTERN PetscErrorCode MatCompositeSetScalings(Mat,const PetscScalar*);
352 
353 PETSC_EXTERN PetscErrorCode MatCreateFFT(MPI_Comm,PetscInt,const PetscInt[],MatType,Mat*);
354 PETSC_EXTERN PetscErrorCode MatCreateSeqCUFFT(MPI_Comm,PetscInt,const PetscInt[],Mat*);
355 
356 PETSC_EXTERN PetscErrorCode MatCreateTranspose(Mat,Mat*);
357 PETSC_EXTERN PetscErrorCode MatTransposeGetMat(Mat,Mat*);
358 PETSC_EXTERN PetscErrorCode MatCreateHermitianTranspose(Mat,Mat*);
359 PETSC_EXTERN PetscErrorCode MatHermitianTransposeGetMat(Mat,Mat*);
360 PETSC_EXTERN PetscErrorCode MatNormalGetMat(Mat,Mat*);
361 PETSC_EXTERN PetscErrorCode MatNormalHermitianGetMat(Mat,Mat*);
362 PETSC_EXTERN PetscErrorCode MatCreateSubMatrixVirtual(Mat,IS,IS,Mat*);
363 PETSC_EXTERN PetscErrorCode MatSubMatrixVirtualUpdate(Mat,Mat,IS,IS);
364 PETSC_EXTERN PetscErrorCode MatCreateLocalRef(Mat,IS,IS,Mat*);
365 PETSC_EXTERN PetscErrorCode MatCreateConstantDiagonal(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar,Mat*);
366 
367 #if defined(PETSC_HAVE_HYPRE)
368 PETSC_EXTERN PetscErrorCode MatHYPRESetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
369 #endif
370 
371 PETSC_EXTERN PetscErrorCode MatPythonSetType(Mat,const char[]);
372 
373 PETSC_EXTERN PetscErrorCode MatResetPreallocation(Mat);
374 PETSC_EXTERN PetscErrorCode MatSetUp(Mat);
375 PETSC_EXTERN PetscErrorCode MatDestroy(Mat*);
376 PETSC_EXTERN PetscErrorCode MatGetNonzeroState(Mat,PetscObjectState*);
377 
378 PETSC_EXTERN PetscErrorCode MatConjugate(Mat);
379 PETSC_EXTERN PetscErrorCode MatRealPart(Mat);
380 PETSC_EXTERN PetscErrorCode MatImaginaryPart(Mat);
381 PETSC_EXTERN PetscErrorCode MatGetDiagonalBlock(Mat,Mat*);
382 PETSC_EXTERN PetscErrorCode MatGetTrace(Mat,PetscScalar*);
383 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonal(Mat,const PetscScalar **);
384 PETSC_EXTERN PetscErrorCode MatInvertVariableBlockDiagonal(Mat,PetscInt,const PetscInt*,PetscScalar*);
385 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonalMat(Mat,Mat);
386 
387 /* ------------------------------------------------------------*/
388 PETSC_EXTERN PetscErrorCode MatSetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
389 PETSC_EXTERN PetscErrorCode MatSetValuesBlocked(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
390 PETSC_EXTERN PetscErrorCode MatSetValuesRow(Mat,PetscInt,const PetscScalar[]);
391 PETSC_EXTERN PetscErrorCode MatSetValuesRowLocal(Mat,PetscInt,const PetscScalar[]);
392 PETSC_EXTERN PetscErrorCode MatSetValuesBatch(Mat,PetscInt,PetscInt,PetscInt[],const PetscScalar[]);
393 PETSC_EXTERN PetscErrorCode MatSetRandom(Mat,PetscRandom);
394 
395 /*S
396      MatStencil - Data structure (C struct) for storing information about a single row or
397         column of a matrix as indexed on an associated grid. These are arguments to MatSetStencil() and MatSetBlockStencil()
398 
399    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).
400    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.
401 
402    For stencil access to vectors see DMDAVecGetArray(), DMDAVecGetArrayF90().
403 
404    Fortran usage is different, see MatSetValuesStencil() for details.
405 
406    Level: beginner
407 
408 .seealso:  MatSetValuesStencil(), MatSetStencil(), MatSetValuesBlockedStencil(), DMDAVecGetArray(), DMDAVecGetArrayF90()
409 S*/
410 typedef struct {
411   PetscInt k,j,i,c;
412 } MatStencil;
413 
414 PETSC_EXTERN PetscErrorCode MatSetValuesStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
415 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
416 PETSC_EXTERN PetscErrorCode MatSetStencil(Mat,PetscInt,const PetscInt[],const PetscInt[],PetscInt);
417 
418 /*E
419     MatAssemblyType - Indicates if the matrix is now to be used, or if you plan
420      to continue to add or insert values to it
421 
422     Level: beginner
423 
424 .seealso: MatAssemblyBegin(), MatAssemblyEnd()
425 E*/
426 typedef enum {MAT_FLUSH_ASSEMBLY=1,MAT_FINAL_ASSEMBLY=0} MatAssemblyType;
427 PETSC_EXTERN PetscErrorCode MatAssemblyBegin(Mat,MatAssemblyType);
428 PETSC_EXTERN PetscErrorCode MatAssemblyEnd(Mat,MatAssemblyType);
429 PETSC_EXTERN PetscErrorCode MatAssembled(Mat,PetscBool *);
430 
431 /*E
432     MatOption - Options that may be set for a matrix and its behavior or storage
433 
434     Level: beginner
435 
436    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
437    Any additions/changes here must also be made in src/mat/interface/dlregismat.c in MatOptions[]
438 
439    Developer Notes:
440     Entries that are negative need not be called collectively by all processes.
441 
442 .seealso: MatSetOption()
443 E*/
444 typedef enum {MAT_OPTION_MIN = -3,
445               MAT_UNUSED_NONZERO_LOCATION_ERR = -2,
446               MAT_ROW_ORIENTED = -1,
447               MAT_SYMMETRIC = 1,
448               MAT_STRUCTURALLY_SYMMETRIC = 2,
449               MAT_FORCE_DIAGONAL_ENTRIES = 3,
450               MAT_IGNORE_OFF_PROC_ENTRIES = 4,
451               MAT_USE_HASH_TABLE = 5,
452               MAT_KEEP_NONZERO_PATTERN = 6,
453               MAT_IGNORE_ZERO_ENTRIES = 7,
454               MAT_USE_INODES = 8,
455               MAT_HERMITIAN = 9,
456               MAT_SYMMETRY_ETERNAL = 10,
457               MAT_NEW_NONZERO_LOCATION_ERR = 11,
458               MAT_IGNORE_LOWER_TRIANGULAR = 12,
459               MAT_ERROR_LOWER_TRIANGULAR = 13,
460               MAT_GETROW_UPPERTRIANGULAR = 14,
461               MAT_SPD = 15,
462               MAT_NO_OFF_PROC_ZERO_ROWS = 16,
463               MAT_NO_OFF_PROC_ENTRIES = 17,
464               MAT_NEW_NONZERO_LOCATIONS = 18,
465               MAT_NEW_NONZERO_ALLOCATION_ERR = 19,
466               MAT_SUBSET_OFF_PROC_ENTRIES = 20,
467               MAT_SUBMAT_SINGLEIS = 21,
468               MAT_STRUCTURE_ONLY = 22,
469               MAT_SORTED_FULL = 23,
470               MAT_FORM_EXPLICIT_TRANSPOSE = 24,
471               MAT_OPTION_MAX = 25} MatOption;
472 
473 PETSC_EXTERN const char *const *MatOptions;
474 PETSC_EXTERN PetscErrorCode MatSetOption(Mat,MatOption,PetscBool);
475 PETSC_EXTERN PetscErrorCode MatGetOption(Mat,MatOption,PetscBool*);
476 PETSC_EXTERN PetscErrorCode MatPropagateSymmetryOptions(Mat,Mat);
477 PETSC_EXTERN PetscErrorCode MatGetType(Mat,MatType*);
478 
479 PETSC_EXTERN PetscErrorCode MatGetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar[]);
480 PETSC_EXTERN PetscErrorCode MatGetRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
481 PETSC_EXTERN PetscErrorCode MatRestoreRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
482 PETSC_EXTERN PetscErrorCode MatGetRowUpperTriangular(Mat);
483 PETSC_EXTERN PetscErrorCode MatRestoreRowUpperTriangular(Mat);
484 PETSC_EXTERN PetscErrorCode MatGetColumnVector(Mat,Vec,PetscInt);
485 PETSC_EXTERN PetscErrorCode MatSeqAIJGetArray(Mat,PetscScalar *[]);
486 PETSC_EXTERN PetscErrorCode MatSeqAIJGetArrayRead(Mat,const PetscScalar *[]);
487 PETSC_EXTERN PetscErrorCode MatSeqAIJRestoreArray(Mat,PetscScalar *[]);
488 PETSC_EXTERN PetscErrorCode MatSeqAIJRestoreArrayRead(Mat,const PetscScalar *[]);
489 PETSC_EXTERN PetscErrorCode MatSeqAIJGetMaxRowNonzeros(Mat,PetscInt*);
490 PETSC_EXTERN PetscErrorCode MatSeqAIJSetValuesLocalFast(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
491 PETSC_EXTERN PetscErrorCode MatSeqAIJSetType(Mat,MatType);
492 PETSC_EXTERN PetscErrorCode MatSeqAIJKron(Mat,Mat,MatReuse,Mat*);
493 PETSC_EXTERN PetscErrorCode MatSeqAIJRegister(const char[],PetscErrorCode (*)(Mat,MatType,MatReuse,Mat *));
494 PETSC_EXTERN PetscFunctionList MatSeqAIJList;
495 PETSC_EXTERN PetscErrorCode MatSeqBAIJGetArray(Mat,PetscScalar *[]);
496 PETSC_EXTERN PetscErrorCode MatSeqBAIJRestoreArray(Mat,PetscScalar *[]);
497 PETSC_EXTERN PetscErrorCode MatSeqSBAIJGetArray(Mat,PetscScalar *[]);
498 PETSC_EXTERN PetscErrorCode MatSeqSBAIJRestoreArray(Mat,PetscScalar *[]);
499 PETSC_EXTERN PetscErrorCode MatDenseGetArray(Mat,PetscScalar *[]);
500 PETSC_EXTERN PetscErrorCode MatDenseRestoreArray(Mat,PetscScalar *[]);
501 PETSC_EXTERN PetscErrorCode MatDensePlaceArray(Mat,const PetscScalar[]);
502 PETSC_EXTERN PetscErrorCode MatDenseReplaceArray(Mat,const PetscScalar[]);
503 PETSC_EXTERN PetscErrorCode MatDenseResetArray(Mat);
504 PETSC_EXTERN PetscErrorCode MatDenseGetArrayRead(Mat,const PetscScalar *[]);
505 PETSC_EXTERN PetscErrorCode MatDenseRestoreArrayRead(Mat,const PetscScalar *[]);
506 PETSC_EXTERN PetscErrorCode MatDenseGetArrayWrite(Mat,PetscScalar *[]);
507 PETSC_EXTERN PetscErrorCode MatDenseRestoreArrayWrite(Mat,PetscScalar *[]);
508 PETSC_EXTERN PetscErrorCode MatGetBlockSize(Mat,PetscInt *);
509 PETSC_EXTERN PetscErrorCode MatSetBlockSize(Mat,PetscInt);
510 PETSC_EXTERN PetscErrorCode MatGetBlockSizes(Mat,PetscInt *,PetscInt *);
511 PETSC_EXTERN PetscErrorCode MatSetBlockSizes(Mat,PetscInt,PetscInt);
512 PETSC_EXTERN PetscErrorCode MatSetBlockSizesFromMats(Mat,Mat,Mat);
513 PETSC_EXTERN PetscErrorCode MatSetVariableBlockSizes(Mat,PetscInt,PetscInt*);
514 PETSC_EXTERN PetscErrorCode MatGetVariableBlockSizes(Mat,PetscInt*,const PetscInt**);
515 
516 PETSC_EXTERN PetscErrorCode MatDenseGetColumn(Mat,PetscInt,PetscScalar*[]);
517 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumn(Mat,PetscScalar*[]);
518 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVec(Mat,PetscInt,Vec*);
519 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVec(Mat,PetscInt,Vec*);
520 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVecRead(Mat,PetscInt,Vec*);
521 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVecRead(Mat,PetscInt,Vec*);
522 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVecWrite(Mat,PetscInt,Vec*);
523 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVecWrite(Mat,PetscInt,Vec*);
524 PETSC_EXTERN PetscErrorCode MatDenseGetSubMatrix(Mat,PetscInt,PetscInt,Mat*);
525 PETSC_EXTERN PetscErrorCode MatDenseRestoreSubMatrix(Mat,Mat*);
526 
527 PETSC_EXTERN PetscErrorCode MatMult(Mat,Vec,Vec);
528 PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat,Vec,Vec);
529 PETSC_EXTERN PetscErrorCode MatMultAdd(Mat,Vec,Vec,Vec);
530 PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat,Vec,Vec);
531 PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat,Vec,Vec);
532 PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat,Mat,PetscReal,PetscBool *);
533 PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat,Mat,PetscReal,PetscBool *);
534 PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat,Vec,Vec,Vec);
535 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat,Vec,Vec,Vec);
536 PETSC_EXTERN PetscErrorCode MatMultConstrained(Mat,Vec,Vec);
537 PETSC_EXTERN PetscErrorCode MatMultTransposeConstrained(Mat,Vec,Vec);
538 PETSC_EXTERN PetscErrorCode MatMatSolve(Mat,Mat,Mat);
539 PETSC_EXTERN PetscErrorCode MatMatSolveTranspose(Mat,Mat,Mat);
540 PETSC_EXTERN PetscErrorCode MatMatTransposeSolve(Mat,Mat,Mat);
541 PETSC_EXTERN PetscErrorCode MatResidual(Mat,Vec,Vec,Vec);
542 
543 /*E
544     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
545   its numerical values copied over or just its nonzero structure.
546 
547     Level: beginner
548 
549    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
550 
551 $   MAT_DO_NOT_COPY_VALUES    - Create a matrix using the same nonzero pattern as the original matrix,
552 $                               with zeros for the numerical values.
553 $   MAT_COPY_VALUES           - Create a matrix with the same nonzero pattern as the original matrix
554 $                               and with the same numerical values.
555 $   MAT_SHARE_NONZERO_PATTERN - Create a matrix that shares the nonzero structure with the previous matrix
556 $                               and does not copy it, using zeros for the numerical values. The parent and
557 $                               child matrices will share their index (i and j) arrays, and you cannot
558 $                               insert new nonzero entries into either matrix.
559 
560 Notes:
561     Many matrix types (including SeqAIJ) do not support the MAT_SHARE_NONZERO_PATTERN optimization; in
562 this case the behavior is as if MAT_DO_NOT_COPY_VALUES has been specified.
563 
564 .seealso: MatDuplicate()
565 E*/
566 typedef enum {MAT_DO_NOT_COPY_VALUES,MAT_COPY_VALUES,MAT_SHARE_NONZERO_PATTERN} MatDuplicateOption;
567 
568 PETSC_EXTERN PetscErrorCode MatConvert(Mat,MatType,MatReuse,Mat*);
569 PETSC_EXTERN PetscErrorCode MatDuplicate(Mat,MatDuplicateOption,Mat*);
570 
571 PETSC_EXTERN PetscErrorCode MatCopy(Mat,Mat,MatStructure);
572 PETSC_EXTERN PetscErrorCode MatView(Mat,PetscViewer);
573 PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat,PetscReal,PetscBool *);
574 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat,PetscBool *);
575 PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat,PetscReal,PetscBool *);
576 PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat,PetscBool *,PetscBool *);
577 PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat,PetscBool *,PetscBool *);
578 PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat,PetscBool  *,PetscInt *);
579 PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);
580 
581 PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
582 PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
583 PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
584 PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
585 
586 /*S
587      MatInfo - Context of matrix information, used with MatGetInfo()
588 
589    In Fortran this is simply a double precision array of dimension MAT_INFO_SIZE
590 
591    Level: intermediate
592 
593 .seealso:  MatGetInfo(), MatInfoType
594 S*/
595 typedef struct {
596   PetscLogDouble block_size;                         /* block size */
597   PetscLogDouble nz_allocated,nz_used,nz_unneeded;   /* number of nonzeros */
598   PetscLogDouble memory;                             /* memory allocated */
599   PetscLogDouble assemblies;                         /* number of matrix assemblies called */
600   PetscLogDouble mallocs;                            /* number of mallocs during MatSetValues() */
601   PetscLogDouble fill_ratio_given,fill_ratio_needed; /* fill ratio for LU/ILU */
602   PetscLogDouble factor_mallocs;                     /* number of mallocs during factorization */
603 } MatInfo;
604 
605 /*E
606     MatInfoType - Indicates if you want information about the local part of the matrix,
607      the entire parallel matrix or the maximum over all the local parts.
608 
609     Level: beginner
610 
611    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
612 
613 .seealso: MatGetInfo(), MatInfo
614 E*/
615 typedef enum {MAT_LOCAL=1,MAT_GLOBAL_MAX=2,MAT_GLOBAL_SUM=3} MatInfoType;
616 PETSC_EXTERN PetscErrorCode MatGetInfo(Mat,MatInfoType,MatInfo*);
617 PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat,Vec);
618 PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat,Vec,PetscInt[]);
619 PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat,Vec,PetscInt[]);
620 PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat,Vec,PetscInt[]);
621 PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat,Vec,PetscInt[]);
622 PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat,Vec);
623 PETSC_EXTERN PetscErrorCode MatTranspose(Mat,MatReuse,Mat*);
624 PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat,MatReuse,Mat*);
625 PETSC_EXTERN PetscErrorCode MatPermute(Mat,IS,IS,Mat*);
626 PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat,Vec,Vec);
627 PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat,Vec,InsertMode);
628 
629 PETSC_EXTERN PetscErrorCode MatEqual(Mat,Mat,PetscBool*);
630 PETSC_EXTERN PetscErrorCode MatMultEqual(Mat,Mat,PetscInt,PetscBool*);
631 PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat,Mat,PetscInt,PetscBool*);
632 PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat,Mat,PetscInt,PetscBool*);
633 PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat,Mat,PetscInt,PetscBool*);
634 PETSC_EXTERN PetscErrorCode MatMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
635 PETSC_EXTERN PetscErrorCode MatTransposeMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
636 PETSC_EXTERN PetscErrorCode MatMatTransposeMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
637 PETSC_EXTERN PetscErrorCode MatPtAPMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
638 PETSC_EXTERN PetscErrorCode MatRARtMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
639 PETSC_EXTERN PetscErrorCode MatIsLinear(Mat,PetscInt,PetscBool*);
640 
641 PETSC_EXTERN PetscErrorCode MatNorm(Mat,NormType,PetscReal*);
642 PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat,NormType,PetscReal*);
643 PETSC_EXTERN PetscErrorCode MatGetColumnSums(Mat,PetscScalar*);
644 PETSC_EXTERN PetscErrorCode MatGetColumnSumsRealPart(Mat,PetscReal*);
645 PETSC_EXTERN PetscErrorCode MatGetColumnSumsImaginaryPart(Mat,PetscReal*);
646 PETSC_EXTERN PetscErrorCode MatGetColumnMeans(Mat,PetscScalar*);
647 PETSC_EXTERN PetscErrorCode MatGetColumnMeansRealPart(Mat,PetscReal*);
648 PETSC_EXTERN PetscErrorCode MatGetColumnMeansImaginaryPart(Mat,PetscReal*);
649 PETSC_EXTERN PetscErrorCode MatGetColumnReductions(Mat,PetscInt,PetscReal*);
650 PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
651 PETSC_EXTERN PetscErrorCode MatSetInf(Mat);
652 PETSC_EXTERN PetscErrorCode MatZeroRows(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
653 PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat,IS,PetscScalar,Vec,Vec);
654 PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat,PetscInt,const MatStencil [],PetscScalar,Vec,Vec);
655 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat,PetscInt,const MatStencil[],PetscScalar,Vec,Vec);
656 PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
657 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat,IS,PetscScalar,Vec,Vec);
658 
659 PETSC_EXTERN PetscErrorCode MatGetSize(Mat,PetscInt*,PetscInt*);
660 PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat,PetscInt*,PetscInt*);
661 PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat,PetscInt*,PetscInt*);
662 PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat,const PetscInt**);
663 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat,PetscInt*,PetscInt*);
664 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat,const PetscInt**);
665 PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat,IS*,IS*);
666 
667 PETSC_EXTERN PetscErrorCode MatCreateSubMatrices(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
668 PETSC_DEPRECATED_FUNCTION("Use MatCreateSubMatrices() (since version 3.8)") 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);}
669 PETSC_EXTERN PetscErrorCode MatCreateSubMatricesMPI(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
670 PETSC_DEPRECATED_FUNCTION("Use MatCreateSubMatricesMPI() (since version 3.8)") 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);}
671 PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt,Mat *[]);
672 PETSC_EXTERN PetscErrorCode MatDestroySubMatrices(PetscInt,Mat *[]);
673 PETSC_EXTERN PetscErrorCode MatCreateSubMatrix(Mat,IS,IS,MatReuse,Mat *);
674 PETSC_DEPRECATED_FUNCTION("Use MatCreateSubMatrix() (since version 3.8)") PETSC_STATIC_INLINE PetscErrorCode MatGetSubMatrix(Mat mat,IS isrow,IS iscol,MatReuse cll,Mat *newmat) {return MatCreateSubMatrix(mat,isrow,iscol,cll,newmat);}
675 PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat,IS,IS,Mat*);
676 PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat,IS,IS,Mat*);
677 PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat,Mat*);
678 PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat*);
679 
680 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm,Mat,PetscInt,PetscInt,MatReuse,Mat*);
681 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm,Mat,PetscInt,PetscInt,Mat*);
682 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat,Mat);
683 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat,MatReuse,Mat*);
684 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat,MatReuse,IS*,IS*,Mat*);
685 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatMerge(Mat,MatReuse,IS*,Mat*);
686 PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat,Mat,MatReuse,IS*,IS*,Mat*);
687 PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *,const PetscInt *[]);
688 
689 PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat,PetscInt,IS[],PetscInt);
690 PETSC_EXTERN PetscErrorCode MatIncreaseOverlapSplit(Mat mat,PetscInt n,IS is[],PetscInt ov);
691 PETSC_EXTERN PetscErrorCode MatMPIAIJSetUseScalableIncreaseOverlap(Mat,PetscBool);
692 
693 PETSC_EXTERN PetscErrorCode MatMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
694 
695 PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
696 PETSC_EXTERN PetscErrorCode MatGalerkin(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
697 
698 PETSC_EXTERN PetscErrorCode MatPtAP(Mat,Mat,MatReuse,PetscReal,Mat*);
699 PETSC_EXTERN PetscErrorCode MatRARt(Mat,Mat,MatReuse,PetscReal,Mat*);
700 
701 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
702 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat,Mat,MatReuse,PetscReal,Mat*);
703 
704 PETSC_EXTERN PetscErrorCode MatAXPY(Mat,PetscScalar,Mat,MatStructure);
705 PETSC_EXTERN PetscErrorCode MatAYPX(Mat,PetscScalar,Mat,MatStructure);
706 
707 PETSC_EXTERN PetscErrorCode MatScale(Mat,PetscScalar);
708 PETSC_EXTERN PetscErrorCode MatShift(Mat,PetscScalar);
709 
710 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
711 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
712 PETSC_EXTERN PetscErrorCode MatGetLayouts(Mat,PetscLayout*,PetscLayout*);
713 PETSC_EXTERN PetscErrorCode MatSetLayouts(Mat,PetscLayout,PetscLayout);
714 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
715 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
716 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
717 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
718 PETSC_EXTERN PetscErrorCode MatGetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar[]);
719 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
720 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
721 
722 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat,PetscInt,PetscInt);
723 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat,PetscInt*,PetscInt*,PetscInt*,PetscInt*);
724 
725 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat,Vec,Vec);
726 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat,Vec,Vec,Vec);
727 PETSC_EXTERN PetscErrorCode MatRestrict(Mat,Vec,Vec);
728 PETSC_EXTERN PetscErrorCode MatMatInterpolate(Mat,Mat,Mat*);
729 PETSC_EXTERN PetscErrorCode MatMatInterpolateAdd(Mat,Mat,Mat,Mat*);
730 PETSC_EXTERN PetscErrorCode MatMatRestrict(Mat,Mat,Mat*);
731 PETSC_EXTERN PetscErrorCode MatCreateVecs(Mat,Vec*,Vec*);
732 PETSC_DEPRECATED_FUNCTION("Use MatCreateVecs() (since version 3.6)") PETSC_STATIC_INLINE PetscErrorCode MatGetVecs(Mat mat,Vec *x,Vec *y) {return MatCreateVecs(mat,x,y);}
733 PETSC_EXTERN PetscErrorCode MatCreateRedundantMatrix(Mat,PetscInt,MPI_Comm,MatReuse,Mat*);
734 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat,MPI_Comm,MatReuse,Mat*);
735 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat,IS*);
736 PETSC_EXTERN PetscErrorCode MatFindOffBlockDiagonalEntries(Mat,IS*);
737 PETSC_EXTERN PetscErrorCode MatCreateMPIMatConcatenateSeqMat(MPI_Comm,Mat,PetscInt,MatReuse,Mat*);
738 
739 /*MC
740    MatSetValue - Set a single entry into a matrix.
741 
742    Not collective
743 
744    Synopsis:
745      #include <petscmat.h>
746      PetscErrorCode MatSetValue(Mat m,PetscInt row,PetscInt col,PetscScalar value,InsertMode mode)
747 
748    Input Parameters:
749 +  m - the matrix
750 .  row - the row location of the entry
751 .  col - the column location of the entry
752 .  value - the value to insert
753 -  mode - either INSERT_VALUES or ADD_VALUES
754 
755    Notes:
756    For efficiency one should use MatSetValues() and set several or many
757    values simultaneously if possible.
758 
759    Level: beginner
760 
761 .seealso: MatSetValues(), MatSetValueLocal()
762 M*/
763 PETSC_STATIC_INLINE PetscErrorCode MatSetValue(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValues(v,1,&i,1,&j,&va,mode);}
764 
765 PETSC_STATIC_INLINE PetscErrorCode MatGetValue(Mat v,PetscInt i,PetscInt j,PetscScalar *va) {return MatGetValues(v,1,&i,1,&j,va);}
766 
767 PETSC_STATIC_INLINE PetscErrorCode MatSetValueLocal(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValuesLocal(v,1,&i,1,&j,&va,mode);}
768 
769 /*MC
770    MatPreallocateInitialize - Begins the block of code that will count the number of nonzeros per
771        row in a matrix providing the data that one can use to correctly preallocate the matrix.
772 
773    Synopsis:
774    #include <petscmat.h>
775    PetscErrorCode MatPreallocateInitialize(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
776 
777    Collective
778 
779    Input Parameters:
780 +  comm - the communicator that will share the eventually allocated matrix
781 .  nrows - the number of LOCAL rows in the matrix
782 -  ncols - the number of LOCAL columns in the matrix
783 
784    Output Parameters:
785 +  dnz - the array that will be passed to the matrix preallocation routines
786 -  onz - the other array passed to the matrix preallocation routines
787 
788    Level: intermediate
789 
790    Notes:
791     See Users-Manual: ch_performance for more details.
792 
793    Do not malloc or free dnz and onz, that is handled internally by these routines
794 
795    This is a MACRO not a function because it has a leading { that is closed by PetscPreallocateFinalize().
796 
797 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
798           MatPreallocateSymmetricSetLocalBlock()
799 M*/
800 #define MatPreallocateInitialize(comm,nrows,ncols,dnz,onz) 0; \
801 do { \
802   PetscErrorCode _4_ierr; PetscInt __nrows = (nrows),__ncols = (ncols),__rstart,__start,__end; \
803   _4_ierr = PetscCalloc2((size_t)__nrows,&dnz,(size_t)__nrows,&onz);CHKERRQ(_4_ierr); \
804   __start = 0; __end = __start;                                         \
805   _4_ierr = MPI_Scan(&__ncols,&__end,1,MPIU_INT,MPI_SUM,comm);CHKERRMPI(_4_ierr); __start = __end - __ncols;\
806   _4_ierr = MPI_Scan(&__nrows,&__rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRMPI(_4_ierr); __rstart = __rstart - __nrows; \
807   do { } while (0)
808 
809 /*MC
810    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
811        inserted using a local number of the rows and columns
812 
813    Synopsis:
814    #include <petscmat.h>
815    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
816 
817    Not Collective
818 
819    Input Parameters:
820 +  map - the row mapping from local numbering to global numbering
821 .  nrows - the number of rows indicated
822 .  rows - the indices of the rows
823 .  cmap - the column mapping from local to global numbering
824 .  ncols - the number of columns in the matrix
825 .  cols - the columns indicated
826 .  dnz - the array that will be passed to the matrix preallocation routines
827 -  onz - the other array passed to the matrix preallocation routines
828 
829    Level: intermediate
830 
831    Notes:
832     See Users-Manual: ch_performance for more details.
833 
834    Do not malloc or free dnz and onz, that is handled internally by these routines
835 
836 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock()
837           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocalRemoveDups()
838 M*/
839 #define MatPreallocateSetLocal(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
840 do {\
841   PetscInt __l;\
842   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
843   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
844   for (__l=0;__l<nrows;__l++) {\
845     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
846   }\
847  } while (0)
848 
849 /*MC
850    MatPreallocateSetLocalRemoveDups - Indicates the locations (rows and columns) in the matrix where nonzeros will be
851        inserted using a local number of the rows and columns. This version removes any duplicate columns in cols
852 
853    Synopsis:
854    #include <petscmat.h>
855    PetscErrorCode MatPreallocateSetLocalRemoveDups(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
856 
857    Not Collective
858 
859    Input Parameters:
860 +  map - the row mapping from local numbering to global numbering
861 .  nrows - the number of rows indicated
862 .  rows - the indices of the rows (these values are mapped to the global values)
863 .  cmap - the column mapping from local to global numbering
864 .  ncols - the number of columns in the matrix   (this value will be changed if duplicate columns are found)
865 .  cols - the columns indicated (these values are mapped to the global values, they are then sorted and duplicates removed)
866 .  dnz - the array that will be passed to the matrix preallocation routines
867 -  onz - the other array passed to the matrix preallocation routines
868 
869    Level: intermediate
870 
871    Notes:
872     See Users-Manual: ch_performance for more details.
873 
874    Do not malloc or free dnz and onz, that is handled internally by these routines
875 
876 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock()
877           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
878 M*/
879 #define MatPreallocateSetLocalRemoveDups(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
880 do {\
881   PetscInt __l;\
882   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
883   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
884   _4_ierr = PetscSortRemoveDupsInt(&ncols,cols);CHKERRQ(_4_ierr);\
885   for (__l=0;__l<nrows;__l++) {\
886     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
887   }\
888  } while (0)
889 
890 /*MC
891    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
892        inserted using a local number of the rows and columns
893 
894    Synopsis:
895    #include <petscmat.h>
896    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
897 
898    Not Collective
899 
900    Input Parameters:
901 +  map - the row mapping from local numbering to global numbering
902 .  nrows - the number of rows indicated
903 .  rows - the indices of the rows
904 .  cmap - the column mapping from local to global numbering
905 .  ncols - the number of columns in the matrix
906 .  cols - the columns indicated
907 .  dnz - the array that will be passed to the matrix preallocation routines
908 -  onz - the other array passed to the matrix preallocation routines
909 
910    Level: intermediate
911 
912    Notes:
913     See Users-Manual: ch_performance for more details.
914 
915    Do not malloc or free dnz and onz, that is handled internally by these routines
916 
917 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock()
918           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock()
919 M*/
920 #define MatPreallocateSetLocalBlock(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
921 do {\
922   PetscInt __l;\
923   _4_ierr = ISLocalToGlobalMappingApplyBlock(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
924   _4_ierr = ISLocalToGlobalMappingApplyBlock(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
925   for (__l=0;__l<nrows;__l++) {\
926     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
927   }\
928 } while (0)
929 
930 /*MC
931    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
932        inserted using a local number of the rows and columns
933 
934    Synopsis:
935    #include <petscmat.h>
936    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
937 
938    Not Collective
939 
940    Input Parameters:
941 +  map - the mapping between local numbering and global numbering
942 .  nrows - the number of rows indicated
943 .  rows - the indices of the rows
944 .  ncols - the number of columns in the matrix
945 .  cols - the columns indicated
946 .  dnz - the array that will be passed to the matrix preallocation routines
947 -  onz - the other array passed to the matrix preallocation routines
948 
949    Level: intermediate
950 
951    Notes:
952     See Users-Manual: ch_performance for more details.
953 
954    Do not malloc or free dnz and onz that is handled internally by these routines
955 
956 .seealso: MatPreallocateFinalize(), MatPreallocateSet()
957           MatPreallocateInitialize(),  MatPreallocateSetLocal()
958 M*/
959 #define MatPreallocateSymmetricSetLocalBlock(map,nrows,rows,ncols,cols,dnz,onz) 0;\
960 do {\
961   PetscInt __l;\
962   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
963   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
964   for (__l=0;__l<nrows;__l++) {\
965     _4_ierr = MatPreallocateSymmetricSetBlock((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
966   }\
967 } while (0)
968 
969 /*MC
970    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
971        inserted using a local number of the rows and columns
972 
973    Synopsis:
974    #include <petscmat.h>
975    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
976 
977    Not Collective
978 
979    Input Parameters:
980 +  row - the row
981 .  ncols - the number of columns in the matrix
982 -  cols - the columns indicated
983 
984    Output Parameters:
985 +  dnz - the array that will be passed to the matrix preallocation routines
986 -  onz - the other array passed to the matrix preallocation routines
987 
988    Level: intermediate
989 
990    Notes:
991     See Users-Manual: ch_performance for more details.
992 
993    Do not malloc or free dnz and onz that is handled internally by these routines
994 
995    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
996 
997 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock()
998           MatPreallocateInitialize(), MatPreallocateSetLocal()
999 M*/
1000 #define MatPreallocateSet(row,nc,cols,dnz,onz) 0;\
1001 do { PetscInt __i; \
1002   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);\
1003   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);\
1004   for (__i=0; __i<nc; __i++) {\
1005     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
1006     else if (dnz[row - __rstart] < __ncols) dnz[row - __rstart]++;\
1007   }\
1008 } while (0)
1009 
1010 /*MC
1011    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1012        inserted using a local number of the rows and columns
1013 
1014    Synopsis:
1015    #include <petscmat.h>
1016    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1017 
1018    Not Collective
1019 
1020    Input Parameters:
1021 +  nrows - the number of rows indicated
1022 .  rows - the indices of the rows
1023 .  ncols - the number of columns in the matrix
1024 .  cols - the columns indicated
1025 .  dnz - the array that will be passed to the matrix preallocation routines
1026 -  onz - the other array passed to the matrix preallocation routines
1027 
1028    Level: intermediate
1029 
1030    Notes:
1031     See Users-Manual: ch_performance for more details.
1032 
1033    Do not malloc or free dnz and onz that is handled internally by these routines
1034 
1035    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
1036 
1037 .seealso: MatPreallocateFinalize(), MatPreallocateSet(),  MatPreallocateInitialize(),
1038           MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
1039 M*/
1040 #define MatPreallocateSymmetricSetBlock(row,nc,cols,dnz,onz) 0;\
1041 do { PetscInt __i; \
1042   for (__i=0; __i<nc; __i++) {\
1043     if (cols[__i] >= __end) onz[row - __rstart]++; \
1044     else if (cols[__i] >= row && dnz[row - __rstart] < __ncols) dnz[row - __rstart]++;\
1045   }\
1046 } while (0)
1047 
1048 /*MC
1049    MatPreallocateLocation -  An alternative to MatPreallocateSet() that puts the nonzero locations into the matrix if it exists
1050 
1051    Synopsis:
1052    #include <petscmat.h>
1053    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
1054 
1055    Not Collective
1056 
1057    Input Parameters:
1058 +  A - matrix
1059 .  row - row where values exist (must be local to this process)
1060 .  ncols - number of columns
1061 .  cols - columns with nonzeros
1062 .  dnz - the array that will be passed to the matrix preallocation routines
1063 -  onz - the other array passed to the matrix preallocation routines
1064 
1065    Level: intermediate
1066 
1067    Notes:
1068     See Users-Manual: ch_performance for more details.
1069 
1070    Do not malloc or free dnz and onz that is handled internally by these routines
1071 
1072    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
1073 
1074 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
1075           MatPreallocateSymmetricSetLocalBlock()
1076 M*/
1077 #define MatPreallocateLocation(A,row,ncols,cols,dnz,onz) 0; do {if (A) {ierr = MatSetValues(A,1,&row,ncols,cols,NULL,INSERT_VALUES);CHKERRQ(ierr);} else {ierr =  MatPreallocateSet(row,ncols,cols,dnz,onz);CHKERRQ(ierr);}} while (0)
1078 
1079 /*MC
1080    MatPreallocateFinalize - Ends the block of code that will count the number of nonzeros per
1081        row in a matrix providing the data that one can use to correctly preallocate the matrix.
1082 
1083    Synopsis:
1084    #include <petscmat.h>
1085    PetscErrorCode MatPreallocateFinalize(PetscInt *dnz, PetscInt *onz)
1086 
1087    Collective
1088 
1089    Input Parameters:
1090 +  dnz - the array that was be passed to the matrix preallocation routines
1091 -  onz - the other array passed to the matrix preallocation routines
1092 
1093    Level: intermediate
1094 
1095    Notes:
1096     See Users-Manual: ch_performance for more details.
1097 
1098    Do not malloc or free dnz and onz that is handled internally by these routines
1099 
1100    This is a MACRO not a function because it closes the { started in MatPreallocateInitialize().
1101 
1102 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
1103           MatPreallocateSymmetricSetLocalBlock()
1104 M*/
1105 #define MatPreallocateFinalize(dnz,onz) 0;_4_ierr = PetscFree2(dnz,onz);CHKERRQ(_4_ierr);} while (0)
1106 
1107 /* Routines unique to particular data structures */
1108 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat,void *);
1109 
1110 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat,IS*,IS*);
1111 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat,PetscInt *,PetscInt *[],PetscInt *);
1112 
1113 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat,PetscInt[]);
1114 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat,PetscInt[]);
1115 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
1116 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
1117 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
1118 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*,PetscInt,PetscBool);
1119 
1120 #define MAT_SKIP_ALLOCATION -4
1121 
1122 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
1123 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
1124 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat,PetscInt,const PetscInt[]);
1125 PETSC_EXTERN PetscErrorCode MatSeqAIJSetTotalPreallocation(Mat,PetscInt);
1126 
1127 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1128 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1129 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1130 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat,const PetscInt [],const PetscInt [],const PetscScalar []);
1131 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
1132 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]);
1133 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
1134 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat,PetscInt[],PetscInt[],PetscInt[]);
1135 PETSC_EXTERN PetscErrorCode MatMPIAdjToSeq(Mat,Mat*);
1136 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
1137 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
1138 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
1139 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
1140 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat,Mat*);
1141 
1142 PETSC_EXTERN PetscErrorCode MatDenseGetLDA(Mat,PetscInt*);
1143 PETSC_EXTERN PetscErrorCode MatDenseSetLDA(Mat,PetscInt);
1144 PETSC_DEPRECATED_FUNCTION("Use MatDenseSetLDA() (since version 3.14)") PETSC_STATIC_INLINE PetscErrorCode MatSeqDenseSetLDA(Mat A,PetscInt lda) {return MatDenseSetLDA(A,lda);}
1145 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat,Mat*);
1146 
1147 PETSC_EXTERN PetscErrorCode MatBlockMatSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
1148 
1149 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
1150 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
1151 
1152 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat,IS*);
1153 PETSC_EXTERN PetscErrorCode MatFindZeroRows(Mat,IS*);
1154 /*
1155   These routines are not usually accessed directly, rather solving is
1156   done through the KSP and PC interfaces.
1157 */
1158 
1159 /*J
1160     MatOrderingType - String with the name of a PETSc matrix ordering
1161 
1162    Level: beginner
1163 
1164    Notes:
1165       If MATORDERINGEXTERNAL is used then PETSc does not compute an ordering and utilizes one built into the factorization package
1166 
1167 .seealso: MatGetOrdering()
1168 J*/
1169 typedef const char* MatOrderingType;
1170 #define MATORDERINGNATURAL        "natural"
1171 #define MATORDERINGND             "nd"
1172 #define MATORDERING1WD            "1wd"
1173 #define MATORDERINGRCM            "rcm"
1174 #define MATORDERINGQMD            "qmd"
1175 #define MATORDERINGROWLENGTH      "rowlength"
1176 #define MATORDERINGWBM            "wbm"
1177 #define MATORDERINGSPECTRAL       "spectral"
1178 #define MATORDERINGAMD            "amd"            /* only works if UMFPACK is installed with PETSc */
1179 #define MATORDERINGNATURAL_OR_ND  "natural_or_nd"  /* special coase used for Cholesky and ICC, allows ND when AIJ matrix is used but Natural when SBAIJ is used */
1180 #define MATORDERINGEXTERNAL       "external"       /* uses an ordering type internal to the factorization package */
1181 
1182 PETSC_EXTERN PetscErrorCode MatGetOrdering(Mat,MatOrderingType,IS*,IS*);
1183 PETSC_EXTERN PetscErrorCode MatGetOrderingList(PetscFunctionList*);
1184 PETSC_EXTERN PetscErrorCode MatOrderingRegister(const char[],PetscErrorCode(*)(Mat,MatOrderingType,IS*,IS*));
1185 PETSC_EXTERN PetscFunctionList MatOrderingList;
1186 
1187 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
1188 PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat,PetscReal,PetscBool,Mat*);
1189 
1190 PETSC_EXTERN PetscErrorCode MatFactorGetPreferredOrdering(Mat,MatFactorType,MatOrderingType*);
1191 
1192 /*S
1193     MatFactorShiftType - Numeric Shift for factorizations
1194 
1195    Level: beginner
1196 
1197 .seealso: MatGetFactor()
1198 S*/
1199 typedef enum {MAT_SHIFT_NONE,MAT_SHIFT_NONZERO,MAT_SHIFT_POSITIVE_DEFINITE,MAT_SHIFT_INBLOCKS} MatFactorShiftType;
1200 PETSC_EXTERN const char *const MatFactorShiftTypes[];
1201 PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];
1202 
1203 /*S
1204     MatFactorError - indicates what type of error was generated in a matrix factorization
1205 
1206     Level: beginner
1207 
1208     Developer Notes:
1209     Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1210 
1211 .seealso: MatGetFactor()
1212 S*/
1213 typedef enum {MAT_FACTOR_NOERROR,MAT_FACTOR_STRUCT_ZEROPIVOT,MAT_FACTOR_NUMERIC_ZEROPIVOT,MAT_FACTOR_OUTMEMORY,MAT_FACTOR_OTHER} MatFactorError;
1214 
1215 PETSC_EXTERN PetscErrorCode MatFactorGetError(Mat,MatFactorError*);
1216 PETSC_EXTERN PetscErrorCode MatFactorClearError(Mat);
1217 PETSC_EXTERN PetscErrorCode MatFactorGetErrorZeroPivot(Mat,PetscReal*,PetscInt*);
1218 
1219 /*S
1220    MatFactorInfo - Data passed into the matrix factorization routines, and information about the resulting factorization
1221 
1222    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE, that is use
1223 $     MatFactorInfo  info(MAT_FACTORINFO_SIZE)
1224 
1225    Notes:
1226     These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
1227 
1228       You can use MatFactorInfoInitialize() to set default values.
1229 
1230    Level: developer
1231 
1232 .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor(),
1233           MatFactorInfoInitialize()
1234 
1235 S*/
1236 typedef struct {
1237   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
1238   PetscReal     usedt;
1239   PetscReal     dt;             /* drop tolerance */
1240   PetscReal     dtcol;          /* tolerance for pivoting */
1241   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
1242   PetscReal     fill;           /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1243   PetscReal     levels;         /* ICC/ILU(levels) */
1244   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1245                                    factorization may be faster if do not pivot */
1246   PetscReal     zeropivot;      /* pivot is called zero if less than this */
1247   PetscReal     shifttype;      /* type of shift added to matrix factor to prevent zero pivots */
1248   PetscReal     shiftamount;     /* how large the shift is */
1249 } MatFactorInfo;
1250 
1251 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo*);
1252 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat,IS,const MatFactorInfo*);
1253 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1254 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat,Mat,const MatFactorInfo*);
1255 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat,IS,IS,const MatFactorInfo*);
1256 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat,IS,IS,const MatFactorInfo*);
1257 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1258 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1259 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1260 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat,IS,const MatFactorInfo*);
1261 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat,Mat,const MatFactorInfo*);
1262 PETSC_EXTERN PetscErrorCode MatQRFactor(Mat,IS,const MatFactorInfo*);
1263 PETSC_EXTERN PetscErrorCode MatQRFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1264 PETSC_EXTERN PetscErrorCode MatQRFactorNumeric(Mat,Mat,const MatFactorInfo*);
1265 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat,PetscInt*,PetscInt*,PetscInt*);
1266 PETSC_EXTERN PetscErrorCode MatSolve(Mat,Vec,Vec);
1267 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat,Vec,Vec);
1268 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat,Vec,Vec);
1269 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat,Vec,Vec,Vec);
1270 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat,Vec,Vec);
1271 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
1272 PETSC_EXTERN PetscErrorCode MatSolves(Mat,Vecs,Vecs);
1273 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
1274 
1275 typedef enum {MAT_FACTOR_SCHUR_UNFACTORED, MAT_FACTOR_SCHUR_FACTORED, MAT_FACTOR_SCHUR_INVERTED} MatFactorSchurStatus;
1276 PETSC_EXTERN PetscErrorCode MatFactorSetSchurIS(Mat,IS);
1277 PETSC_EXTERN PetscErrorCode MatFactorGetSchurComplement(Mat,Mat*,MatFactorSchurStatus*);
1278 PETSC_EXTERN PetscErrorCode MatFactorRestoreSchurComplement(Mat,Mat*,MatFactorSchurStatus);
1279 PETSC_EXTERN PetscErrorCode MatFactorInvertSchurComplement(Mat);
1280 PETSC_EXTERN PetscErrorCode MatFactorCreateSchurComplement(Mat,Mat*,MatFactorSchurStatus*);
1281 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplement(Mat,Vec,Vec);
1282 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplementTranspose(Mat,Vec,Vec);
1283 PETSC_EXTERN PetscErrorCode MatFactorFactorizeSchurComplement(Mat);
1284 
1285 /*E
1286     MatSORType - What type of (S)SOR to perform
1287 
1288     Level: beginner
1289 
1290    May be bitwise ORd together
1291 
1292    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1293 
1294    MatSORType may be bitwise ORd together, so do not change the numbers
1295 
1296 .seealso: MatSOR()
1297 E*/
1298 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
1299               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
1300               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
1301               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
1302 PETSC_EXTERN PetscErrorCode MatSOR(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
1303 
1304 /*
1305     These routines are for efficiently computing Jacobians via finite differences.
1306 */
1307 
1308 /*S
1309      MatColoring - Object for managing the coloring of matrices.
1310 
1311    Level: beginner
1312 
1313     Notes:
1314        Coloring of matrices can be computed directly from the sparse matrix nonzero structure via the MatColoring object or from the mesh from which the
1315        matrix comes from via DMCreateColoring(). In general using the mesh produces a more optimal coloring (fewer colors).
1316 
1317        Once a coloring is available MatFDColoringCreate() creates an object that can be used to efficiently compute Jacobians using that coloring. This
1318        same object can also be used to efficiently convert data created by Automatic Differentation tools to PETSc sparse matrices.
1319 
1320 .seealso:  MatFDColoringCreate(), MatColoringWeightType, ISColoring, MatFDColoring, DMCreateColoring(), MatColoringCreate(), MatOrdering, MatPartitioning
1321 S*/
1322 typedef struct _p_MatColoring* MatColoring;
1323 
1324 /*J
1325     MatColoringType - String with the name of a PETSc matrix coloring
1326 
1327    Level: beginner
1328 
1329 .seealso: MatColoringSetType(), MatColoring
1330 J*/
1331 typedef const  char*           MatColoringType;
1332 #define MATCOLORINGJP      "jp"
1333 #define MATCOLORINGPOWER   "power"
1334 #define MATCOLORINGNATURAL "natural"
1335 #define MATCOLORINGSL      "sl"
1336 #define MATCOLORINGLF      "lf"
1337 #define MATCOLORINGID      "id"
1338 #define MATCOLORINGGREEDY  "greedy"
1339 
1340 /*E
1341    MatColoringWeightType - Type of weight scheme
1342 
1343     Not Collective
1344 
1345 +   MAT_COLORING_RANDOM  - Random weights
1346 .   MAT_COLORING_LEXICAL - Lexical weighting based upon global numbering.
1347 -   MAT_COLORING_LF      - Last-first weighting.
1348 
1349     Level: intermediate
1350 
1351    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1352 
1353 .seealso: MatColoring, MatColoringCreate()
1354 E*/
1355 typedef enum {MAT_COLORING_WEIGHT_RANDOM,MAT_COLORING_WEIGHT_LEXICAL,MAT_COLORING_WEIGHT_LF,MAT_COLORING_WEIGHT_SL} MatColoringWeightType;
1356 
1357 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat,MatColoring*);
1358 PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat,PetscInt,PetscInt*);
1359 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring*);
1360 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring,PetscViewer);
1361 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring,MatColoringType);
1362 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1363 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring,PetscInt);
1364 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring,PetscInt*);
1365 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring,PetscInt);
1366 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring,PetscInt*);
1367 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring,ISColoring*);
1368 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[],PetscErrorCode(*)(MatColoring));
1369 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat,PetscInt,PetscInt,ISColoringValue[],ISColoring*);
1370 PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring,MatColoringWeightType);
1371 PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring,PetscReal*,PetscInt*);
1372 PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring,PetscReal **,PetscInt **lperm);
1373 PETSC_EXTERN PetscErrorCode MatColoringTest(MatColoring,ISColoring);
1374 PETSC_DEPRECATED_FUNCTION("Use MatColoringTest() (since version 3.10)") PETSC_STATIC_INLINE PetscErrorCode MatColoringTestValid(MatColoring matcoloring,ISColoring iscoloring) {return MatColoringTest(matcoloring,iscoloring);}
1375 PETSC_EXTERN PetscErrorCode MatISColoringTest(Mat,ISColoring);
1376 
1377 /*S
1378      MatFDColoring - Object for computing a sparse Jacobian via finite differences
1379         and coloring
1380 
1381    Level: beginner
1382 
1383    Notes:
1384       This object is creating utilizing a coloring provided by the MatColoring object or DMCreateColoring()
1385 
1386 .seealso:  MatFDColoringCreate(), MatColoring, DMCreateColoring()
1387 S*/
1388 typedef struct _p_MatFDColoring* MatFDColoring;
1389 
1390 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
1391 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring*);
1392 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring,PetscViewer);
1393 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring,PetscErrorCode (*)(void),void*);
1394 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring,PetscErrorCode (**)(void),void**);
1395 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
1396 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1397 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat,MatFDColoring,Vec,void *);
1398 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring,Vec);
1399 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring,PetscInt*,const PetscInt*[]);
1400 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat,ISColoring,MatFDColoring);
1401 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring,PetscInt,PetscInt);
1402 PETSC_EXTERN PetscErrorCode MatFDColoringSetValues(Mat,MatFDColoring,const PetscScalar*);
1403 
1404 /*S
1405      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring
1406 
1407    Level: beginner
1408 
1409 .seealso:  MatTransposeColoringCreate()
1410 S*/
1411 typedef struct _p_MatTransposeColoring* MatTransposeColoring;
1412 
1413 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat,ISColoring,MatTransposeColoring *);
1414 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring,Mat,Mat);
1415 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring,Mat,Mat);
1416 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring*);
1417 
1418 /*
1419     These routines are for partitioning matrices: currently used only
1420   for adjacency matrix, MatCreateMPIAdj().
1421 */
1422 
1423 /*S
1424      MatPartitioning - Object for managing the partitioning of a matrix or graph
1425 
1426    Level: beginner
1427 
1428    Notes:
1429      There is also a PetscPartitioner object that provides the same functionality. It can utilize the MatPartitioning operations
1430      via PetscPartitionerSetType(p,PETSCPARTITIONERMATPARTITIONING)
1431 
1432    Developers Note:
1433      It is an extra maintainance and documentation cost to have two objects with the same functionality.
1434 
1435 .seealso:  MatPartitioningCreate(), MatPartitioningType, MatColoring, MatGetOrdering()
1436 S*/
1437 typedef struct _p_MatPartitioning* MatPartitioning;
1438 
1439 /*J
1440     MatPartitioningType - String with the name of a PETSc matrix partitioning
1441 
1442    Level: beginner
1443 dm
1444 .seealso: MatPartitioningCreate(), MatPartitioning
1445 J*/
1446 typedef const char* MatPartitioningType;
1447 #define MATPARTITIONINGCURRENT  "current"
1448 #define MATPARTITIONINGAVERAGE   "average"
1449 #define MATPARTITIONINGSQUARE   "square"
1450 #define MATPARTITIONINGPARMETIS "parmetis"
1451 #define MATPARTITIONINGCHACO    "chaco"
1452 #define MATPARTITIONINGPARTY    "party"
1453 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1454 #define MATPARTITIONINGHIERARCH  "hierarch"
1455 
1456 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1457 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning,MatPartitioningType);
1458 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning,PetscInt);
1459 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning,Mat);
1460 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning,const PetscInt[]);
1461 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1462 PETSC_EXTERN PetscErrorCode MatPartitioningSetUseEdgeWeights(MatPartitioning,PetscBool);
1463 PETSC_EXTERN PetscErrorCode MatPartitioningGetUseEdgeWeights(MatPartitioning,PetscBool*);
1464 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning,IS*);
1465 PETSC_EXTERN PetscErrorCode MatPartitioningImprove(MatPartitioning,IS*);
1466 PETSC_EXTERN PetscErrorCode MatPartitioningViewImbalance(MatPartitioning,IS);
1467 PETSC_EXTERN PetscErrorCode MatPartitioningApplyND(MatPartitioning,IS*);
1468 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning*);
1469 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[],PetscErrorCode (*)(MatPartitioning));
1470 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning,PetscViewer);
1471 PETSC_EXTERN PetscErrorCode MatPartitioningViewFromOptions(MatPartitioning,PetscObject,const char[]);
1472 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1473 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
1474 
1475 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetRepartition(MatPartitioning part);
1476 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1477 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1478 
1479 typedef enum { MP_CHACO_MULTILEVEL=1,MP_CHACO_SPECTRAL=2,MP_CHACO_LINEAR=4,MP_CHACO_RANDOM=5,MP_CHACO_SCATTERED=6 } MPChacoGlobalType;
1480 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1481 typedef enum { MP_CHACO_KERNIGHAN=1,MP_CHACO_NONE=2 } MPChacoLocalType;
1482 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1483 typedef enum { MP_CHACO_LANCZOS=0,MP_CHACO_RQI=1 } MPChacoEigenType;
1484 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1485 
1486 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning,MPChacoGlobalType);
1487 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning,MPChacoGlobalType*);
1488 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning,MPChacoLocalType);
1489 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning,MPChacoLocalType*);
1490 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning,PetscReal);
1491 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning,MPChacoEigenType);
1492 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning,MPChacoEigenType*);
1493 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning,PetscReal);
1494 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning,PetscReal*);
1495 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning,PetscInt);
1496 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning,PetscInt*);
1497 
1498 #define MP_PARTY_OPT "opt"
1499 #define MP_PARTY_LIN "lin"
1500 #define MP_PARTY_SCA "sca"
1501 #define MP_PARTY_RAN "ran"
1502 #define MP_PARTY_GBF "gbf"
1503 #define MP_PARTY_GCF "gcf"
1504 #define MP_PARTY_BUB "bub"
1505 #define MP_PARTY_DEF "def"
1506 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning,const char*);
1507 #define MP_PARTY_HELPFUL_SETS "hs"
1508 #define MP_PARTY_KERNIGHAN_LIN "kl"
1509 #define MP_PARTY_NONE "no"
1510 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning,const char*);
1511 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning,PetscReal);
1512 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning,PetscBool);
1513 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning,PetscBool);
1514 
1515 typedef enum { MP_PTSCOTCH_DEFAULT,MP_PTSCOTCH_QUALITY,MP_PTSCOTCH_SPEED,MP_PTSCOTCH_BALANCE,MP_PTSCOTCH_SAFETY,MP_PTSCOTCH_SCALABILITY } MPPTScotchStrategyType;
1516 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1517 
1518 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning,PetscReal);
1519 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning,PetscReal*);
1520 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning,MPPTScotchStrategyType);
1521 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning,MPPTScotchStrategyType*);
1522 
1523 /*
1524  * hierarchical partitioning
1525  */
1526 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetFineparts(MatPartitioning,IS*);
1527 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetCoarseparts(MatPartitioning,IS*);
1528 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNcoarseparts(MatPartitioning,PetscInt);
1529 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNfineparts(MatPartitioning, PetscInt);
1530 
1531 PETSC_EXTERN PetscErrorCode MatMeshToVertexGraph(Mat,PetscInt,Mat*);
1532 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat,PetscInt,Mat*);
1533 
1534 /*
1535     If you add entries here you must also add them to include/petscmat.h
1536     and src/mat/f90-mod/petscmat.h
1537 */
1538 typedef enum { MATOP_SET_VALUES=0,
1539                MATOP_GET_ROW=1,
1540                MATOP_RESTORE_ROW=2,
1541                MATOP_MULT=3,
1542                MATOP_MULT_ADD=4,
1543                MATOP_MULT_TRANSPOSE=5,
1544                MATOP_MULT_TRANSPOSE_ADD=6,
1545                MATOP_SOLVE=7,
1546                MATOP_SOLVE_ADD=8,
1547                MATOP_SOLVE_TRANSPOSE=9,
1548                MATOP_SOLVE_TRANSPOSE_ADD=10,
1549                MATOP_LUFACTOR=11,
1550                MATOP_CHOLESKYFACTOR=12,
1551                MATOP_SOR=13,
1552                MATOP_TRANSPOSE=14,
1553                MATOP_GETINFO=15,
1554                MATOP_EQUAL=16,
1555                MATOP_GET_DIAGONAL=17,
1556                MATOP_DIAGONAL_SCALE=18,
1557                MATOP_NORM=19,
1558                MATOP_ASSEMBLY_BEGIN=20,
1559                MATOP_ASSEMBLY_END=21,
1560                MATOP_SET_OPTION=22,
1561                MATOP_ZERO_ENTRIES=23,
1562                MATOP_ZERO_ROWS=24,
1563                MATOP_LUFACTOR_SYMBOLIC=25,
1564                MATOP_LUFACTOR_NUMERIC=26,
1565                MATOP_CHOLESKY_FACTOR_SYMBOLIC=27,
1566                MATOP_CHOLESKY_FACTOR_NUMERIC=28,
1567                MATOP_SETUP_PREALLOCATION=29,
1568                MATOP_ILUFACTOR_SYMBOLIC=30,
1569                MATOP_ICCFACTOR_SYMBOLIC=31,
1570                MATOP_GET_DIAGONAL_BLOCK=32,
1571                MATOP_FREE_INTER_STRUCT=33,
1572                MATOP_DUPLICATE=34,
1573                MATOP_FORWARD_SOLVE=35,
1574                MATOP_BACKWARD_SOLVE=36,
1575                MATOP_ILUFACTOR=37,
1576                MATOP_ICCFACTOR=38,
1577                MATOP_AXPY=39,
1578                MATOP_CREATE_SUBMATRICES=40,
1579                MATOP_INCREASE_OVERLAP=41,
1580                MATOP_GET_VALUES=42,
1581                MATOP_COPY=43,
1582                MATOP_GET_ROW_MAX=44,
1583                MATOP_SCALE=45,
1584                MATOP_SHIFT=46,
1585                MATOP_DIAGONAL_SET=47,
1586                MATOP_ZERO_ROWS_COLUMNS=48,
1587                MATOP_SET_RANDOM=49,
1588                MATOP_GET_ROW_IJ=50,
1589                MATOP_RESTORE_ROW_IJ=51,
1590                MATOP_GET_COLUMN_IJ=52,
1591                MATOP_RESTORE_COLUMN_IJ=53,
1592                MATOP_FDCOLORING_CREATE=54,
1593                MATOP_COLORING_PATCH=55,
1594                MATOP_SET_UNFACTORED=56,
1595                MATOP_PERMUTE=57,
1596                MATOP_SET_VALUES_BLOCKED=58,
1597                MATOP_CREATE_SUBMATRIX=59,
1598                MATOP_DESTROY=60,
1599                MATOP_VIEW=61,
1600                MATOP_CONVERT_FROM=62,
1601                MATOP_MATMAT_MULT=63,
1602                MATOP_MATMAT_MULT_SYMBOLIC=64,
1603                MATOP_MATMAT_MULT_NUMERIC=65,
1604                MATOP_SET_LOCAL_TO_GLOBAL_MAP=66,
1605                MATOP_SET_VALUES_LOCAL=67,
1606                MATOP_ZERO_ROWS_LOCAL=68,
1607                MATOP_GET_ROW_MAX_ABS=69,
1608                MATOP_GET_ROW_MIN_ABS=70,
1609                MATOP_CONVERT=71,
1610                MATOP_SET_COLORING=72,
1611                /* MATOP_PLACEHOLDER_73=73, */
1612                MATOP_SET_VALUES_ADIFOR=74,
1613                MATOP_FD_COLORING_APPLY=75,
1614                MATOP_SET_FROM_OPTIONS=76,
1615                MATOP_MULT_CONSTRAINED=77,
1616                MATOP_MULT_TRANSPOSE_CONSTRAIN=78,
1617                MATOP_FIND_ZERO_DIAGONALS=79,
1618                MATOP_MULT_MULTIPLE=80,
1619                MATOP_SOLVE_MULTIPLE=81,
1620                MATOP_GET_INERTIA=82,
1621                MATOP_LOAD=83,
1622                MATOP_IS_SYMMETRIC=84,
1623                MATOP_IS_HERMITIAN=85,
1624                MATOP_IS_STRUCTURALLY_SYMMETRIC=86,
1625                MATOP_SET_VALUES_BLOCKEDLOCAL=87,
1626                MATOP_CREATE_VECS=88,
1627                MATOP_MAT_MULT=89,
1628                MATOP_MAT_MULT_SYMBOLIC=90,
1629                MATOP_MAT_MULT_NUMERIC=91,
1630                MATOP_PTAP=92,
1631                MATOP_PTAP_SYMBOLIC=93,
1632                MATOP_PTAP_NUMERIC=94,
1633                MATOP_MAT_TRANSPOSE_MULT=95,
1634                MATOP_MAT_TRANSPOSE_MULT_SYMBO=96,
1635                MATOP_MAT_TRANSPOSE_MULT_NUMER=97,
1636                /* MATOP_PLACEHOLDER_98=98, */
1637                MATOP_PRODUCTSETFROMOPTIONS=99,
1638                MATOP_PRODUCTSYMBOLIC=100,
1639                MATOP_PRODUCTNUMERIC=101,
1640                MATOP_CONJUGATE=102,
1641                /* MATOP_PLACEHOLDER_103=103, */
1642                MATOP_SET_VALUES_ROW=104,
1643                MATOP_REAL_PART=105,
1644                MATOP_IMAGINARY_PART=106,
1645                MATOP_GET_ROW_UPPER_TRIANGULAR=107,
1646                MATOP_RESTORE_ROW_UPPER_TRIANG=108,
1647                MATOP_MAT_SOLVE=109,
1648                MATOP_MAT_SOLVE_TRANSPOSE=110,
1649                MATOP_GET_ROW_MIN=111,
1650                MATOP_GET_COLUMN_VECTOR=112,
1651                MATOP_MISSING_DIAGONAL=113,
1652                MATOP_GET_SEQ_NONZERO_STRUCTUR=114,
1653                MATOP_CREATE=115,
1654                MATOP_GET_GHOSTS=116,
1655                MATOP_GET_LOCAL_SUB_MATRIX=117,
1656                MATOP_RESTORE_LOCALSUB_MATRIX=118,
1657                MATOP_MULT_DIAGONAL_BLOCK=119,
1658                MATOP_HERMITIAN_TRANSPOSE=120,
1659                MATOP_MULT_HERMITIAN_TRANSPOSE=121,
1660                MATOP_MULT_HERMITIAN_TRANS_ADD=122,
1661                MATOP_GET_MULTI_PROC_BLOCK=123,
1662                MATOP_FIND_NONZERO_ROWS=124,
1663                MATOP_GET_COLUMN_NORMS=125,
1664                MATOP_INVERT_BLOCK_DIAGONAL=126,
1665                /* MATOP_PLACEHOLDER_127=127, */
1666                MATOP_CREATE_SUB_MATRICES_MPI=128,
1667                MATOP_SET_VALUES_BATCH=129,
1668                MATOP_TRANSPOSE_MAT_MULT=130,
1669                MATOP_TRANSPOSE_MAT_MULT_SYMBO=131,
1670                MATOP_TRANSPOSE_MAT_MULT_NUMER=132,
1671                MATOP_TRANSPOSE_COLORING_CREAT=133,
1672                MATOP_TRANS_COLORING_APPLY_SPT=134,
1673                MATOP_TRANS_COLORING_APPLY_DEN=135,
1674                MATOP_RART=136,
1675                MATOP_RART_SYMBOLIC=137,
1676                MATOP_RART_NUMERIC=138,
1677                MATOP_SET_BLOCK_SIZES=139,
1678                MATOP_AYPX=140,
1679                MATOP_RESIDUAL=141,
1680                MATOP_FDCOLORING_SETUP=142,
1681                MATOP_MPICONCATENATESEQ=144,
1682                MATOP_DESTROYSUBMATRICES=145,
1683                MATOP_TRANSPOSE_SOLVE=146,
1684                MATOP_GET_VALUES_LOCAL=147
1685              } MatOperation;
1686 PETSC_EXTERN PetscErrorCode MatSetOperation(Mat,MatOperation,void(*)(void));
1687 PETSC_EXTERN PetscErrorCode MatGetOperation(Mat,MatOperation,void(**)(void));
1688 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat,MatOperation,PetscBool*);
1689 PETSC_EXTERN PetscErrorCode MatHasCongruentLayouts(Mat,PetscBool*);
1690 PETSC_DEPRECATED_FUNCTION("Use MatProductClear() (since version 3.14)") PETSC_STATIC_INLINE PetscErrorCode MatFreeIntermediateDataStructures(Mat A) {return MatProductClear(A);}
1691 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat,MatOperation,void(*)(void));
1692 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat,MatOperation,void(**)(void));
1693 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat,void*);
1694 PETSC_EXTERN PetscErrorCode MatShellSetVecType(Mat,VecType);
1695 PETSC_EXTERN PetscErrorCode MatShellTestMult(Mat,PetscErrorCode (*)(void*,Vec,Vec),Vec,void*,PetscBool*);
1696 PETSC_EXTERN PetscErrorCode MatShellTestMultTranspose(Mat,PetscErrorCode (*)(void*,Vec,Vec),Vec,void*,PetscBool*);
1697 PETSC_EXTERN PetscErrorCode MatShellSetManageScalingShifts(Mat);
1698 PETSC_EXTERN PetscErrorCode MatShellSetMatProductOperation(Mat,MatProductType,PetscErrorCode (*)(Mat,Mat,Mat,void**),PetscErrorCode (*)(Mat,Mat,Mat,void*),PetscErrorCode (*)(void*),MatType,MatType);
1699 PETSC_EXTERN PetscErrorCode MatIsShell(Mat,PetscBool*);
1700 
1701 /*
1702    Codes for matrices stored on disk. By default they are
1703    stored in a universal format. By changing the format with
1704    PetscViewerPushFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
1705    be stored in a way natural for the matrix, for example dense matrices
1706    would be stored as dense. Matrices stored this way may only be
1707    read into matrices of the same type.
1708 */
1709 #define MATRIX_BINARY_FORMAT_DENSE -1
1710 
1711 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1712 
1713 PETSC_EXTERN PetscErrorCode MatISSetLocalMatType(Mat,MatType);
1714 PETSC_EXTERN PetscErrorCode MatISSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1715 PETSC_EXTERN PetscErrorCode MatISStoreL2L(Mat,PetscBool);
1716 PETSC_EXTERN PetscErrorCode MatISFixLocalEmpty(Mat,PetscBool);
1717 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat,Mat*);
1718 PETSC_EXTERN PetscErrorCode MatISRestoreLocalMat(Mat,Mat*);
1719 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat,Mat);
1720 PETSC_EXTERN PETSC_DEPRECATED_FUNCTION("Use the MatConvert() interface (since version 3.10)") PetscErrorCode MatISGetMPIXAIJ(Mat,MatReuse,Mat*);
1721 
1722 /*S
1723      MatNullSpace - Object that removes a null space from a vector, i.e.
1724          orthogonalizes the vector to a subspace
1725 
1726    Level: advanced
1727 
1728   Users manual sections:
1729 .   sec_singular
1730 
1731 .seealso:  MatNullSpaceCreate()
1732 S*/
1733 typedef struct _p_MatNullSpace* MatNullSpace;
1734 
1735 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm,PetscBool ,PetscInt,const Vec[],MatNullSpace*);
1736 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace,PetscErrorCode (*)(MatNullSpace,Vec,void*),void*);
1737 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace*);
1738 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace,Vec);
1739 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
1740 PETSC_EXTERN PetscErrorCode MatGetTransposeNullSpace(Mat, MatNullSpace *);
1741 PETSC_EXTERN PetscErrorCode MatSetTransposeNullSpace(Mat,MatNullSpace);
1742 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat,MatNullSpace);
1743 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat,MatNullSpace);
1744 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat,MatNullSpace*);
1745 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace,Mat,PetscBool  *);
1746 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace,PetscViewer);
1747 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace,PetscBool*,PetscInt*,const Vec**);
1748 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec,MatNullSpace*);
1749 
1750 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat,IS);
1751 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1752 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat,PetscInt *);
1753 
1754 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat,PetscInt,Mat*);
1755 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat,PetscInt,Mat*);
1756 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat,Mat*);
1757 
1758 PETSC_EXTERN PetscErrorCode MatComputeOperator(Mat,MatType,Mat*);
1759 PETSC_EXTERN PetscErrorCode MatComputeOperatorTranspose(Mat,MatType,Mat*);
1760 
1761 PETSC_DEPRECATED_FUNCTION("Use MatComputeOperator() (since version 3.12)") PETSC_STATIC_INLINE PetscErrorCode MatComputeExplicitOperator(Mat A,Mat* B) { return MatComputeOperator(A,NULL,B); }
1762 PETSC_DEPRECATED_FUNCTION("Use MatComputeOperatorTranspose() (since version 3.12)") PETSC_STATIC_INLINE PetscErrorCode MatComputeExplicitOperatorTranspose(Mat A,Mat* B) { return MatComputeOperatorTranspose(A,NULL,B); }
1763 
1764 PETSC_EXTERN PetscErrorCode MatCreateKAIJ(Mat,PetscInt,PetscInt,const PetscScalar[],const PetscScalar[],Mat*);
1765 PETSC_EXTERN PetscErrorCode MatKAIJGetAIJ(Mat,Mat*);
1766 PETSC_EXTERN PetscErrorCode MatKAIJGetS(Mat,PetscInt*,PetscInt*,PetscScalar**);
1767 PETSC_EXTERN PetscErrorCode MatKAIJGetSRead(Mat,PetscInt*,PetscInt*,const PetscScalar**);
1768 PETSC_EXTERN PetscErrorCode MatKAIJRestoreS(Mat,PetscScalar**);
1769 PETSC_EXTERN PetscErrorCode MatKAIJRestoreSRead(Mat,const PetscScalar**);
1770 PETSC_EXTERN PetscErrorCode MatKAIJGetT(Mat,PetscInt*,PetscInt*,PetscScalar**);
1771 PETSC_EXTERN PetscErrorCode MatKAIJGetTRead(Mat,PetscInt*,PetscInt*,const PetscScalar**);
1772 PETSC_EXTERN PetscErrorCode MatKAIJRestoreT(Mat,PetscScalar**);
1773 PETSC_EXTERN PetscErrorCode MatKAIJRestoreTRead(Mat,const PetscScalar**);
1774 PETSC_EXTERN PetscErrorCode MatKAIJSetAIJ(Mat,Mat);
1775 PETSC_EXTERN PetscErrorCode MatKAIJSetS(Mat,PetscInt,PetscInt,const PetscScalar[]);
1776 PETSC_EXTERN PetscErrorCode MatKAIJSetT(Mat,PetscInt,PetscInt,const PetscScalar[]);
1777 PETSC_EXTERN PetscErrorCode MatKAIJGetScaledIdentity(Mat,PetscBool*);
1778 
1779 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat,Vec);
1780 
1781 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
1782 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat,Vec,Vec);
1783 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat,PetscErrorCode(*)(void*,Vec,Vec),void*);
1784 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat,PetscErrorCode (*)(void*,PetscInt,Vec,PetscScalar*));
1785 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat,PetscErrorCode (*)(void*,Vec));
1786 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat,PetscScalar[],PetscInt);
1787 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
1788 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat,PetscReal);
1789 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat,PetscInt);
1790 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat,PetscScalar *);
1791 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat,const char[]);
1792 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void*,Vec,Vec,PetscScalar*);
1793 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat,PetscErrorCode (*)(void*,Vec,Vec,PetscScalar*),void*);
1794 
1795 /*S
1796     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
1797               Jacobian vector products
1798 
1799     Notes:
1800     MATMFFD is a specific MatType which uses the MatMFFD data structure
1801 
1802            MatMFFD*() methods actually take the Mat as their first argument. Not a MatMFFD data structure
1803 
1804     Level: developer
1805 
1806 .seealso: MATMFFD, MatCreateMFFD(), MatMFFDSetFuction(), MatMFFDSetType(), MatMFFDRegister()
1807 S*/
1808 typedef struct _p_MatMFFD* MatMFFD;
1809 
1810 /*J
1811     MatMFFDType - algorithm used to compute the h used in computing matrix-vector products via differencing of the function
1812 
1813    Level: beginner
1814 
1815 .seealso: MatMFFDSetType(), MatMFFDRegister()
1816 J*/
1817 typedef const char* MatMFFDType;
1818 #define MATMFFD_DS  "ds"
1819 #define MATMFFD_WP  "wp"
1820 
1821 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat,MatMFFDType);
1822 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[],PetscErrorCode (*)(MatMFFD));
1823 
1824 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat,PetscReal);
1825 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat,PetscBool);
1826 
1827 PETSC_EXTERN PetscErrorCode MatFDColoringSetType(MatFDColoring,MatMFFDType);
1828 
1829 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
1830 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
1831 
1832 #ifdef PETSC_HAVE_H2OPUS
1833 PETSC_EXTERN_TYPEDEF typedef PetscScalar (*MatH2OpusKernel)(PetscInt,PetscReal[],PetscReal[],void*);
1834 PETSC_EXTERN PetscErrorCode MatCreateH2OpusFromKernel(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscReal[],PetscBool,MatH2OpusKernel,void*,PetscReal,PetscInt,PetscInt,Mat*);
1835 PETSC_EXTERN PetscErrorCode MatCreateH2OpusFromMat(Mat,PetscInt,const PetscReal[],PetscBool,PetscReal,PetscInt,PetscInt,PetscInt,PetscReal,Mat*);
1836 PETSC_EXTERN PetscErrorCode MatH2OpusSetSamplingMat(Mat,Mat,PetscInt,PetscReal);
1837 PETSC_EXTERN PetscErrorCode MatH2OpusOrthogonalize(Mat);
1838 PETSC_EXTERN PetscErrorCode MatH2OpusCompress(Mat,PetscReal);
1839 PETSC_EXTERN PetscErrorCode MatH2OpusSetNativeMult(Mat,PetscBool);
1840 PETSC_EXTERN PetscErrorCode MatH2OpusGetNativeMult(Mat,PetscBool*);
1841 PETSC_EXTERN PetscErrorCode MatH2OpusGetIndexMap(Mat,IS*);
1842 PETSC_EXTERN PetscErrorCode MatH2OpusMapVec(Mat,PetscBool,Vec,Vec*);
1843 #endif
1844 
1845 #ifdef PETSC_HAVE_HTOOL
1846 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode (*MatHtoolKernel)(PetscInt,PetscInt,PetscInt,const PetscInt*,const PetscInt*,PetscScalar*,void*);
1847 PETSC_EXTERN PetscErrorCode MatCreateHtoolFromKernel(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscReal[],const PetscReal[],MatHtoolKernel,void*,Mat*);
1848 PETSC_EXTERN PetscErrorCode MatHtoolSetKernel(Mat,MatHtoolKernel,void*);
1849 PETSC_EXTERN PetscErrorCode MatHtoolGetPermutationSource(Mat,IS*);
1850 PETSC_EXTERN PetscErrorCode MatHtoolGetPermutationTarget(Mat,IS*);
1851 PETSC_EXTERN PetscErrorCode MatHtoolUsePermutation(Mat,PetscBool);
1852 /*E
1853      MatHtoolCompressorType - Indicates the type of compressor used by a MATHTOOL
1854 
1855    Level: beginner
1856 
1857     Values:
1858 +   MAT_HTOOL_COMPRESSOR_SYMPARTIAL_ACA (default) - symmetric partial adaptive cross approximation
1859 .   MAT_HTOOL_COMPRESSOR_FULL_ACA - full adaptive cross approximation
1860 -   MAT_HTOOL_COMPRESSOR_SVD - singular value decomposition
1861 
1862 .seealso: MatCreateHtoolFromKernel(), MATHTOOL, MatHtoolClusteringType
1863 E*/
1864 typedef enum { MAT_HTOOL_COMPRESSOR_SYMPARTIAL_ACA, MAT_HTOOL_COMPRESSOR_FULL_ACA, MAT_HTOOL_COMPRESSOR_SVD } MatHtoolCompressorType;
1865 /*E
1866      MatHtoolClusteringType - Indicates the type of clustering used by a MATHTOOL
1867 
1868    Level: beginner
1869 
1870     Values:
1871 +   MAT_HTOOL_CLUSTERING_PCA_REGULAR (default) - axis computed via principle component analysis, split uniformly
1872 .   MAT_HTOOL_CLUSTERING_PCA_GEOMETRIC - axis computed via principle component analysis, split barycentrically
1873 .   MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_REGULAR - axis along the largest extent of the bounding box, split uniformly
1874 -   MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_GEOMETRIC - axis along the largest extent of the bounding box, split barycentrically
1875 
1876     Notes: higher-dimensional clustering is not yet supported in Htool, but once it is, one should add BOUNDING_BOX_{2,3} types
1877 
1878 .seealso: MatCreateHtoolFromKernel(), MATHTOOL, MatHtoolCompressorType
1879 E*/
1880 typedef enum { MAT_HTOOL_CLUSTERING_PCA_REGULAR, MAT_HTOOL_CLUSTERING_PCA_GEOMETRIC, MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_REGULAR, MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_GEOMETRIC } MatHtoolClusteringType;
1881 #endif
1882 
1883 /*
1884    PETSc interface to MUMPS
1885 */
1886 #ifdef PETSC_HAVE_MUMPS
1887 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat,PetscInt,PetscInt);
1888 PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat,PetscInt,PetscInt*);
1889 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat,PetscInt,PetscReal);
1890 PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat,PetscInt,PetscReal*);
1891 
1892 PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat,PetscInt,PetscInt*);
1893 PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat,PetscInt,PetscInt*);
1894 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat,PetscInt,PetscReal*);
1895 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat,PetscInt,PetscReal*);
1896 PETSC_EXTERN PetscErrorCode MatMumpsGetInverse(Mat,Mat);
1897 PETSC_EXTERN PetscErrorCode MatMumpsGetInverseTranspose(Mat,Mat);
1898 #endif
1899 
1900 /*
1901    PETSc interface to Mkl_Pardiso
1902 */
1903 #ifdef PETSC_HAVE_MKL_PARDISO
1904 PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat,PetscInt,PetscInt);
1905 #endif
1906 
1907 /*
1908    PETSc interface to Mkl_CPardiso
1909 */
1910 #ifdef PETSC_HAVE_MKL_CPARDISO
1911 PETSC_EXTERN PetscErrorCode MatMkl_CPardisoSetCntl(Mat,PetscInt,PetscInt);
1912 #endif
1913 
1914 /*
1915    PETSc interface to SUPERLU
1916 */
1917 #ifdef PETSC_HAVE_SUPERLU
1918 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat,PetscReal);
1919 #endif
1920 
1921 /*
1922    PETSc interface to SUPERLU_DIST
1923 */
1924 #ifdef PETSC_HAVE_SUPERLU_DIST
1925 PETSC_EXTERN PetscErrorCode MatSuperluDistGetDiagU(Mat,PetscScalar*);
1926 #endif
1927 
1928 /*
1929    PETSc interface to STRUMPACK
1930 */
1931 #ifdef PETSC_HAVE_STRUMPACK
1932 /*E
1933     MatSTRUMPACKReordering - sparsity reducing ordering to be used in STRUMPACK
1934 
1935     Level: intermediate
1936 E*/
1937 typedef enum {MAT_STRUMPACK_NATURAL=0,
1938               MAT_STRUMPACK_METIS=1,
1939               MAT_STRUMPACK_PARMETIS=2,
1940               MAT_STRUMPACK_SCOTCH=3,
1941               MAT_STRUMPACK_PTSCOTCH=4,
1942               MAT_STRUMPACK_RCM=5} MatSTRUMPACKReordering;
1943 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetReordering(Mat,MatSTRUMPACKReordering);
1944 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetColPerm(Mat,PetscBool);
1945 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSRelTol(Mat,PetscReal);
1946 PETSC_DEPRECATED_FUNCTION("Use MatSTRUMPACKSetHSSRelTol() (since version 3.9)") PETSC_STATIC_INLINE PetscErrorCode MatSTRUMPACKSetHSSRelCompTol(Mat mat,PetscReal rtol) {return MatSTRUMPACKSetHSSRelTol(mat,rtol);}
1947 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSAbsTol(Mat,PetscReal);
1948 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMinSepSize(Mat,PetscInt);
1949 PETSC_DEPRECATED_FUNCTION("Use MatSTRUMPACKSetHSSMinSepSize() (since version 3.9)") PETSC_STATIC_INLINE PetscErrorCode MatSTRUMPACKSetHSSMinSize(Mat mat,PetscInt hssminsize) {return MatSTRUMPACKSetHSSMinSepSize(mat,hssminsize);}
1950 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMaxRank(Mat,PetscInt);
1951 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSLeafSize(Mat,PetscInt);
1952 #endif
1953 
1954 PETSC_EXTERN PetscErrorCode MatBindToCPU(Mat,PetscBool);
1955 PETSC_EXTERN PetscErrorCode MatBoundToCPU(Mat,PetscBool*);
1956 PETSC_DEPRECATED_FUNCTION("Use MatBindToCPU (since v3.13)") PETSC_STATIC_INLINE PetscErrorCode MatPinToCPU(Mat A,PetscBool flg) {return MatBindToCPU(A,flg);}
1957 PETSC_EXTERN PetscErrorCode MatSetBindingPropagates(Mat,PetscBool);
1958 PETSC_EXTERN PetscErrorCode MatGetBindingPropagates(Mat,PetscBool *);
1959 
1960 typedef struct _n_SplitCSRMat *PetscSplitCSRDataStructure;
1961 PETSC_EXTERN PetscErrorCode MatCUSPARSEGetDeviceMatWrite(Mat,PetscSplitCSRDataStructure*);
1962 
1963 #ifdef PETSC_HAVE_KOKKOS_KERNELS
1964 PETSC_EXTERN PetscErrorCode MatKokkosGetDeviceMatWrite(Mat,PetscSplitCSRDataStructure*);
1965 PETSC_EXTERN PetscErrorCode MatSeqAIJKokkosSetDeviceMat(Mat,PetscSplitCSRDataStructure);
1966 PETSC_EXTERN PetscErrorCode MatSeqAIJKokkosGetDeviceMat(Mat,PetscSplitCSRDataStructure*);
1967 #endif
1968 
1969 #ifdef PETSC_HAVE_CUDA
1970 /*E
1971     MatCUSPARSEStorageFormat - indicates the storage format for CUSPARSE (GPU)
1972     matrices.
1973 
1974     Not Collective
1975 
1976 +   MAT_CUSPARSE_CSR - Compressed Sparse Row
1977 .   MAT_CUSPARSE_ELL - Ellpack (requires CUDA 4.2 or later).
1978 -   MAT_CUSPARSE_HYB - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
1979 
1980     Level: intermediate
1981 
1982    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1983 
1984 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEFormatOperation
1985 E*/
1986 
1987 typedef enum {MAT_CUSPARSE_CSR, MAT_CUSPARSE_ELL, MAT_CUSPARSE_HYB} MatCUSPARSEStorageFormat;
1988 
1989 /* these will be strings associated with enumerated type defined above */
1990 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
1991 
1992 /*E
1993     MatCUSPARSEFormatOperation - indicates the operation of CUSPARSE (GPU)
1994     matrices whose operation should use a particular storage format.
1995 
1996     Not Collective
1997 
1998 +   MAT_CUSPARSE_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1999 .   MAT_CUSPARSE_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
2000 .   MAT_CUSPARSE_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
2001 -   MAT_CUSPARSE_ALL - sets the storage format for all CUSPARSE (GPU) matrices
2002 
2003     Level: intermediate
2004 
2005 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEStorageFormat
2006 E*/
2007 typedef enum {MAT_CUSPARSE_MULT_DIAG, MAT_CUSPARSE_MULT_OFFDIAG, MAT_CUSPARSE_MULT, MAT_CUSPARSE_ALL} MatCUSPARSEFormatOperation;
2008 
2009 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
2010 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
2011 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat,MatCUSPARSEFormatOperation,MatCUSPARSEStorageFormat);
2012 typedef struct Mat_SeqAIJCUSPARSETriFactors* Mat_SeqAIJCUSPARSETriFactors_p;
2013 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetIJ(Mat,PetscBool,const int**,const int**);
2014 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreIJ(Mat,PetscBool,const int**,const int**);
2015 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArrayRead(Mat,const PetscScalar**);
2016 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArrayRead(Mat,const PetscScalar**);
2017 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArrayWrite(Mat,PetscScalar**);
2018 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArrayWrite(Mat,PetscScalar**);
2019 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArray(Mat,PetscScalar**);
2020 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArray(Mat,PetscScalar**);
2021 
2022 PETSC_EXTERN PetscErrorCode MatCreateDenseCUDA(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar[],Mat*);
2023 PETSC_EXTERN PetscErrorCode MatCreateSeqDenseCUDA(MPI_Comm,PetscInt,PetscInt,PetscScalar[],Mat*);
2024 PETSC_EXTERN PetscErrorCode MatMPIDenseCUDASetPreallocation(Mat,PetscScalar[]);
2025 PETSC_EXTERN PetscErrorCode MatSeqDenseCUDASetPreallocation(Mat,PetscScalar[]);
2026 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArrayWrite(Mat,PetscScalar**);
2027 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArrayRead(Mat,const PetscScalar**);
2028 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArray(Mat,PetscScalar**);
2029 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArrayWrite(Mat,PetscScalar**);
2030 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArrayRead(Mat,const PetscScalar**);
2031 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArray(Mat,PetscScalar**);
2032 PETSC_EXTERN PetscErrorCode MatDenseCUDAPlaceArray(Mat,const PetscScalar*);
2033 PETSC_EXTERN PetscErrorCode MatDenseCUDAReplaceArray(Mat,const PetscScalar*);
2034 PETSC_EXTERN PetscErrorCode MatDenseCUDAResetArray(Mat);
2035 
2036 #endif
2037 
2038 #if defined(PETSC_HAVE_VIENNACL)
2039 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
2040 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
2041 #endif
2042 
2043 /*
2044    PETSc interface to FFTW
2045 */
2046 #if defined(PETSC_HAVE_FFTW)
2047 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat,Vec,Vec);
2048 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat,Vec,Vec);
2049 PETSC_EXTERN PetscErrorCode MatCreateVecsFFTW(Mat,Vec*,Vec*,Vec*);
2050 #endif
2051 
2052 #if defined(PETSC_HAVE_SCALAPACK)
2053 PETSC_EXTERN PetscErrorCode MatCreateScaLAPACK(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
2054 PETSC_EXTERN PetscErrorCode MatScaLAPACKSetBlockSizes(Mat,PetscInt,PetscInt);
2055 PETSC_EXTERN PetscErrorCode MatScaLAPACKGetBlockSizes(Mat,PetscInt*,PetscInt*);
2056 #endif
2057 
2058 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm,PetscInt,const IS[],PetscInt,const IS[],const Mat[],Mat*);
2059 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat,PetscInt*,PetscInt*);
2060 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat,IS[],IS[]);
2061 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat,IS[],IS[]);
2062 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat,PetscInt*,PetscInt*,Mat***);
2063 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat,PetscInt,PetscInt,Mat*);
2064 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat,VecType);
2065 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat,PetscInt,const IS[],PetscInt,const IS[],const Mat[]);
2066 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat,PetscInt,PetscInt,Mat);
2067 
2068 PETSC_EXTERN PetscErrorCode MatChop(Mat,PetscReal);
2069 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat,PetscReal,PetscInt*);
2070 
2071 PETSC_EXTERN PetscErrorCode MatSubdomainsCreateCoalesce(Mat,PetscInt,PetscInt*,IS**);
2072 
2073 PETSC_EXTERN PetscErrorCode MatPreallocatorPreallocate(Mat,PetscBool,Mat);
2074 
2075 PETSC_INTERN PetscErrorCode MatHeaderMerge(Mat,Mat*);
2076 PETSC_EXTERN PetscErrorCode MatHeaderReplace(Mat,Mat*);
2077 
2078 #endif
2079