LCOV - code coverage report
Current view: top level - home/gitlab-runner/builds/q8svuz_Y/0/slepc/petsc/include - petscmat.h (source / functions) Hit Total Coverage
Test: SLEPc Lines: 2 2 100.0 %
Date: 2024-12-18 00:51:33 Functions: 0 0 -
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          Line data    Source code
       1             : /*
       2             :      Include file for the matrix component of PETSc
       3             : */
       4             : #pragma once
       5             : 
       6             : #include <petscvec.h>
       7             : 
       8             : /* SUBMANSEC = Mat */
       9             : 
      10             : /*S
      11             :    Mat - Abstract PETSc matrix object used to manage all linear operators in PETSc, even those without
      12             :          an explicit sparse representation (such as matrix-free operators). Also used to hold representations of graphs
      13             :          for graph operations such as coloring, `MatColoringCreate()`
      14             : 
      15             :    Level: beginner
      16             : 
      17             :    Note:
      18             :    See [](doc_matrix), [](ch_matrices) and `MatType` for available matrix types
      19             : 
      20             : .seealso: [](doc_matrix), [](ch_matrices), `MatCreate()`, `MatType`, `MatSetType()`, `MatDestroy()`
      21             : S*/
      22             : typedef struct _p_Mat *Mat;
      23             : 
      24             : /*J
      25             :    MatType - String with the name of a PETSc matrix type
      26             : 
      27             :    Level: beginner
      28             : 
      29             :    Note:
      30             :    [](doc_matrix) for a table of available matrix types
      31             : 
      32             : .seealso: [](doc_matrix), [](ch_matrices), `MatSetType()`, `Mat`, `MatSolverType`, `MatRegister()`
      33             : J*/
      34             : typedef const char *MatType;
      35             : #define MATSAME                      "same"
      36             : #define MATMAIJ                      "maij"
      37             : #define MATSEQMAIJ                   "seqmaij"
      38             : #define MATMPIMAIJ                   "mpimaij"
      39             : #define MATKAIJ                      "kaij"
      40             : #define MATSEQKAIJ                   "seqkaij"
      41             : #define MATMPIKAIJ                   "mpikaij"
      42             : #define MATIS                        "is"
      43             : #define MATAIJ                       "aij"
      44             : #define MATSEQAIJ                    "seqaij"
      45             : #define MATMPIAIJ                    "mpiaij"
      46             : #define MATAIJCRL                    "aijcrl"
      47             : #define MATSEQAIJCRL                 "seqaijcrl"
      48             : #define MATMPIAIJCRL                 "mpiaijcrl"
      49             : #define MATAIJCUSPARSE               "aijcusparse"
      50             : #define MATSEQAIJCUSPARSE            "seqaijcusparse"
      51             : #define MATMPIAIJCUSPARSE            "mpiaijcusparse"
      52             : #define MATAIJHIPSPARSE              "aijhipsparse"
      53             : #define MATSEQAIJHIPSPARSE           "seqaijhipsparse"
      54             : #define MATMPIAIJHIPSPARSE           "mpiaijhipsparse"
      55             : #define MATAIJKOKKOS                 "aijkokkos"
      56             : #define MATSEQAIJKOKKOS              "seqaijkokkos"
      57             : #define MATMPIAIJKOKKOS              "mpiaijkokkos"
      58             : #define MATAIJVIENNACL               "aijviennacl"
      59             : #define MATSEQAIJVIENNACL            "seqaijviennacl"
      60             : #define MATMPIAIJVIENNACL            "mpiaijviennacl"
      61             : #define MATAIJPERM                   "aijperm"
      62             : #define MATSEQAIJPERM                "seqaijperm"
      63             : #define MATMPIAIJPERM                "mpiaijperm"
      64             : #define MATAIJSELL                   "aijsell"
      65             : #define MATSEQAIJSELL                "seqaijsell"
      66             : #define MATMPIAIJSELL                "mpiaijsell"
      67             : #define MATAIJMKL                    "aijmkl"
      68             : #define MATSEQAIJMKL                 "seqaijmkl"
      69             : #define MATMPIAIJMKL                 "mpiaijmkl"
      70             : #define MATBAIJMKL                   "baijmkl"
      71             : #define MATSEQBAIJMKL                "seqbaijmkl"
      72             : #define MATMPIBAIJMKL                "mpibaijmkl"
      73             : #define MATSHELL                     "shell"
      74             : #define MATCENTERING                 "centering"
      75             : #define MATDENSE                     "dense"
      76             : #define MATDENSECUDA                 "densecuda"
      77             : #define MATDENSEHIP                  "densehip"
      78             : #define MATSEQDENSE                  "seqdense"
      79             : #define MATSEQDENSECUDA              "seqdensecuda"
      80             : #define MATSEQDENSEHIP               "seqdensehip"
      81             : #define MATMPIDENSE                  "mpidense"
      82             : #define MATMPIDENSECUDA              "mpidensecuda"
      83             : #define MATMPIDENSEHIP               "mpidensehip"
      84             : #define MATELEMENTAL                 "elemental"
      85             : #define MATSCALAPACK                 "scalapack"
      86             : #define MATBAIJ                      "baij"
      87             : #define MATSEQBAIJ                   "seqbaij"
      88             : #define MATMPIBAIJ                   "mpibaij"
      89             : #define MATMPIADJ                    "mpiadj"
      90             : #define MATSBAIJ                     "sbaij"
      91             : #define MATSEQSBAIJ                  "seqsbaij"
      92             : #define MATMPISBAIJ                  "mpisbaij"
      93             : #define MATMFFD                      "mffd"
      94             : #define MATNORMAL                    "normal"
      95             : #define MATNORMALHERMITIAN           "normalh"
      96             : #define MATLRC                       "lrc"
      97             : #define MATSCATTER                   "scatter"
      98             : #define MATBLOCKMAT                  "blockmat"
      99             : #define MATCOMPOSITE                 "composite"
     100             : #define MATFFT                       "fft"
     101             : #define MATFFTW                      "fftw"
     102             : #define MATSEQCUFFT                  "seqcufft"
     103             : #define MATSEQHIPFFT                 "seqhipfft"
     104             : #define MATTRANSPOSEMAT              PETSC_DEPRECATED_MACRO(3, 18, 0, "MATTRANSPOSEVIRTUAL", ) "transpose"
     105             : #define MATTRANSPOSEVIRTUAL          "transpose"
     106             : #define MATHERMITIANTRANSPOSEVIRTUAL "hermitiantranspose"
     107             : #define MATSCHURCOMPLEMENT           "schurcomplement"
     108             : #define MATPYTHON                    "python"
     109             : #define MATHYPRE                     "hypre"
     110             : #define MATHYPRESTRUCT               "hyprestruct"
     111             : #define MATHYPRESSTRUCT              "hypresstruct"
     112             : #define MATSUBMATRIX                 "submatrix"
     113             : #define MATLOCALREF                  "localref"
     114             : #define MATNEST                      "nest"
     115             : #define MATPREALLOCATOR              "preallocator"
     116             : #define MATSELL                      "sell"
     117             : #define MATSEQSELL                   "seqsell"
     118             : #define MATMPISELL                   "mpisell"
     119             : #define MATSELLCUDA                  "sellcuda"
     120             : #define MATSEQSELLCUDA               "seqsellcuda"
     121             : #define MATMPISELLCUDA               "mpisellcuda"
     122             : #define MATSELLHIP                   "sellhip"
     123             : #define MATSEQSELLHIP                "seqsellhip"
     124             : #define MATMPISELLHIP                "mpisellhip"
     125             : #define MATDUMMY                     "dummy"
     126             : #define MATLMVM                      "lmvm"
     127             : #define MATLMVMDFP                   "lmvmdfp"
     128             : #define MATLMVMDDFP                  "lmvmddfp"
     129             : #define MATLMVMBFGS                  "lmvmbfgs"
     130             : #define MATLMVMDBFGS                 "lmvmdbfgs"
     131             : #define MATLMVMDQN                   "lmvmdqn"
     132             : #define MATLMVMSR1                   "lmvmsr1"
     133             : #define MATLMVMBROYDEN               "lmvmbroyden"
     134             : #define MATLMVMBADBROYDEN            "lmvmbadbroyden"
     135             : #define MATLMVMSYMBROYDEN            "lmvmsymbroyden"
     136             : #define MATLMVMSYMBADBROYDEN         "lmvmsymbadbroyden"
     137             : #define MATLMVMDIAGBROYDEN           "lmvmdiagbroyden"
     138             : #define MATCONSTANTDIAGONAL          "constantdiagonal"
     139             : #define MATDIAGONAL                  "diagonal"
     140             : #define MATHTOOL                     "htool"
     141             : #define MATH2OPUS                    "h2opus"
     142             : 
     143             : /*J
     144             :    MatSolverType - String with the name of a PETSc factorization-based matrix solver type.
     145             : 
     146             :    For example: "petsc" indicates what PETSc provides, "superlu_dist" the parallel SuperLU_DIST package etc
     147             : 
     148             :    Level: beginner
     149             : 
     150             :    Note:
     151             :    `MATSOLVERUMFPACK`, `MATSOLVERCHOLMOD`, `MATSOLVERKLU`, `MATSOLVERSPQR` form the SuiteSparse package; you can use `--download-suitesparse` as
     152             :    a ./configure option to install them
     153             : 
     154             : .seealso: [](sec_matfactor), [](ch_matrices), `MatGetFactor()`, `PCFactorSetMatSolverType()`, `PCFactorGetMatSolverType()`
     155             : J*/
     156             : typedef const char *MatSolverType;
     157             : #define MATSOLVERSUPERLU      "superlu"
     158             : #define MATSOLVERSUPERLU_DIST "superlu_dist"
     159             : #define MATSOLVERSTRUMPACK    "strumpack"
     160             : #define MATSOLVERUMFPACK      "umfpack"
     161             : #define MATSOLVERCHOLMOD      "cholmod"
     162             : #define MATSOLVERKLU          "klu"
     163             : #define MATSOLVERELEMENTAL    "elemental"
     164             : #define MATSOLVERSCALAPACK    "scalapack"
     165             : #define MATSOLVERESSL         "essl"
     166             : #define MATSOLVERLUSOL        "lusol"
     167             : #define MATSOLVERMUMPS        "mumps"
     168             : #define MATSOLVERMKL_PARDISO  "mkl_pardiso"
     169             : #define MATSOLVERMKL_CPARDISO "mkl_cpardiso"
     170             : #define MATSOLVERPASTIX       "pastix"
     171             : #define MATSOLVERMATLAB       "matlab"
     172             : #define MATSOLVERPETSC        "petsc"
     173             : #define MATSOLVERBAS          "bas"
     174             : #define MATSOLVERCUSPARSE     "cusparse"
     175             : #define MATSOLVERCUDA         "cuda"
     176             : #define MATSOLVERHIPSPARSE    "hipsparse"
     177             : #define MATSOLVERHIP          "hip"
     178             : #define MATSOLVERKOKKOS       "kokkos"
     179             : #define MATSOLVERSPQR         "spqr"
     180             : #define MATSOLVERHTOOL        "htool"
     181             : 
     182             : /*E
     183             :     MatFactorType - indicates what type of factorization is requested
     184             : 
     185             :     Values:
     186             : +  `MAT_FACTOR_LU`       - LU factorization
     187             : .  `MAT_FACTOR_CHOLESKY` - Cholesky factorization
     188             : .  `MAT_FACTOR_ILU`      - ILU factorization
     189             : .  `MAT_FACTOR_ICC`      - incomplete Cholesky factorization
     190             : .  `MAT_FACTOR_ILUDT`    - ILU factorization with drop tolerance
     191             : -  `MAT_FACTOR_QR`       - QR factorization
     192             : 
     193             :     Level: beginner
     194             : 
     195             : .seealso: [](ch_matrices), `MatSolverType`, `MatGetFactor()`, `MatGetFactorAvailable()`, `MatSolverTypeRegister()`
     196             : E*/
     197             : typedef enum {
     198             :   MAT_FACTOR_NONE,
     199             :   MAT_FACTOR_LU,
     200             :   MAT_FACTOR_CHOLESKY,
     201             :   MAT_FACTOR_ILU,
     202             :   MAT_FACTOR_ICC,
     203             :   MAT_FACTOR_ILUDT,
     204             :   MAT_FACTOR_QR,
     205             :   MAT_FACTOR_NUM_TYPES
     206             : } MatFactorType;
     207             : PETSC_EXTERN const char *const MatFactorTypes[];
     208             : 
     209             : PETSC_EXTERN PetscErrorCode MatGetFactor(Mat, MatSolverType, MatFactorType, Mat *);
     210             : PETSC_EXTERN PetscErrorCode MatGetFactorAvailable(Mat, MatSolverType, MatFactorType, PetscBool *);
     211             : PETSC_EXTERN PetscErrorCode MatFactorGetCanUseOrdering(Mat, PetscBool *);
     212             : PETSC_DEPRECATED_FUNCTION(3, 15, 0, "MatFactorGetCanUseOrdering()", ) static inline PetscErrorCode MatFactorGetUseOrdering(Mat A, PetscBool *b)
     213             : {
     214             :   return MatFactorGetCanUseOrdering(A, b);
     215             : }
     216             : PETSC_EXTERN PetscErrorCode MatFactorGetSolverType(Mat, MatSolverType *);
     217             : PETSC_EXTERN PetscErrorCode MatGetFactorType(Mat, MatFactorType *);
     218             : PETSC_EXTERN PetscErrorCode MatSetFactorType(Mat, MatFactorType);
     219             : PETSC_EXTERN_TYPEDEF typedef PetscErrorCode(MatSolverFn)(Mat, MatFactorType, Mat *);
     220             : PETSC_EXTERN_TYPEDEF typedef MatSolverFn *MatSolverFunction;
     221             : 
     222             : PETSC_EXTERN PetscErrorCode MatSolverTypeRegister(MatSolverType, MatType, MatFactorType, MatSolverFn *);
     223             : PETSC_EXTERN PetscErrorCode MatSolverTypeGet(MatSolverType, MatType, MatFactorType, PetscBool *, PetscBool *, MatSolverFn **);
     224             : typedef MatSolverType       MatSolverPackage PETSC_DEPRECATED_TYPEDEF(3, 9, 0, "MatSolverType", );
     225             : PETSC_DEPRECATED_FUNCTION(3, 9, 0, "MatSolverTypeRegister()", ) static inline PetscErrorCode MatSolverPackageRegister(MatSolverType stype, MatType mtype, MatFactorType ftype, MatSolverFn *f)
     226             : {
     227             :   return MatSolverTypeRegister(stype, mtype, ftype, f);
     228             : }
     229             : PETSC_DEPRECATED_FUNCTION(3, 9, 0, "MatSolverTypeGet()", ) static inline PetscErrorCode MatSolverPackageGet(MatSolverType stype, MatType mtype, MatFactorType ftype, PetscBool *foundmtype, PetscBool *foundstype, MatSolverFn **f)
     230             : {
     231             :   return MatSolverTypeGet(stype, mtype, ftype, foundmtype, foundstype, f);
     232             : }
     233             : 
     234             : /*E
     235             :     MatProductType - indicates what type of matrix product to compute
     236             : 
     237             :     Values:
     238             : +  `MATPRODUCT_AB`   - product of two matrices
     239             : .  `MATPRODUCT_AtB`  - product of the transpose of a given matrix with a matrix
     240             : .  `MATPRODUCT_ABt`  - product of a matrix with the transpose of another given matrix
     241             : .  `MATPRODUCT_PtAP` - the triple product of the transpose of a matrix with another matrix and itself
     242             : .  `MATPRODUCT_RARt` - the triple product of a matrix, another matrix and the transpose of the first matrix
     243             : -  `MATPRODUCT_ABC`  - the product of three matrices
     244             : 
     245             :     Level: beginner
     246             : 
     247             : .seealso: [](sec_matmatproduct), [](ch_matrices), `MatProductSetType()`
     248             : E*/
     249             : typedef enum {
     250             :   MATPRODUCT_UNSPECIFIED = 0,
     251             :   MATPRODUCT_AB,
     252             :   MATPRODUCT_AtB,
     253             :   MATPRODUCT_ABt,
     254             :   MATPRODUCT_PtAP,
     255             :   MATPRODUCT_RARt,
     256             :   MATPRODUCT_ABC
     257             : } MatProductType;
     258             : PETSC_EXTERN const char *const MatProductTypes[];
     259             : 
     260             : /*J
     261             :     MatProductAlgorithm - String with the name of an algorithm for a PETSc matrix product implementation
     262             : 
     263             :    Level: beginner
     264             : 
     265             : .seealso: [](sec_matmatproduct), [](ch_matrices), `MatSetType()`, `Mat`, `MatProductSetAlgorithm()`, `MatProductType`
     266             : J*/
     267             : typedef const char *MatProductAlgorithm;
     268             : #define MATPRODUCTALGORITHMDEFAULT         "default"
     269             : #define MATPRODUCTALGORITHMSORTED          "sorted"
     270             : #define MATPRODUCTALGORITHMSCALABLE        "scalable"
     271             : #define MATPRODUCTALGORITHMSCALABLEFAST    "scalable_fast"
     272             : #define MATPRODUCTALGORITHMHEAP            "heap"
     273             : #define MATPRODUCTALGORITHMBHEAP           "btheap"
     274             : #define MATPRODUCTALGORITHMLLCONDENSED     "llcondensed"
     275             : #define MATPRODUCTALGORITHMROWMERGE        "rowmerge"
     276             : #define MATPRODUCTALGORITHMOUTERPRODUCT    "outerproduct"
     277             : #define MATPRODUCTALGORITHMATB             "at*b"
     278             : #define MATPRODUCTALGORITHMRAP             "rap"
     279             : #define MATPRODUCTALGORITHMNONSCALABLE     "nonscalable"
     280             : #define MATPRODUCTALGORITHMSEQMPI          "seqmpi"
     281             : #define MATPRODUCTALGORITHMBACKEND         "backend"
     282             : #define MATPRODUCTALGORITHMOVERLAPPING     "overlapping"
     283             : #define MATPRODUCTALGORITHMMERGED          "merged"
     284             : #define MATPRODUCTALGORITHMALLATONCE       "allatonce"
     285             : #define MATPRODUCTALGORITHMALLATONCEMERGED "allatonce_merged"
     286             : #define MATPRODUCTALGORITHMALLGATHERV      "allgatherv"
     287             : #define MATPRODUCTALGORITHMCYCLIC          "cyclic"
     288             : #define MATPRODUCTALGORITHMHYPRE           "hypre"
     289             : 
     290             : PETSC_EXTERN PetscErrorCode MatProductCreate(Mat, Mat, Mat, Mat *);
     291             : PETSC_EXTERN PetscErrorCode MatProductCreateWithMat(Mat, Mat, Mat, Mat);
     292             : PETSC_EXTERN PetscErrorCode MatProductSetType(Mat, MatProductType);
     293             : PETSC_EXTERN PetscErrorCode MatProductSetAlgorithm(Mat, MatProductAlgorithm);
     294             : PETSC_EXTERN PetscErrorCode MatProductGetAlgorithm(Mat, MatProductAlgorithm *);
     295             : PETSC_EXTERN PetscErrorCode MatProductSetFill(Mat, PetscReal);
     296             : PETSC_EXTERN PetscErrorCode MatProductSetFromOptions(Mat);
     297             : PETSC_EXTERN PetscErrorCode MatProductSymbolic(Mat);
     298             : PETSC_EXTERN PetscErrorCode MatProductNumeric(Mat);
     299             : PETSC_EXTERN PetscErrorCode MatProductReplaceMats(Mat, Mat, Mat, Mat);
     300             : PETSC_EXTERN PetscErrorCode MatProductClear(Mat);
     301             : PETSC_EXTERN PetscErrorCode MatProductView(Mat, PetscViewer);
     302             : PETSC_EXTERN PetscErrorCode MatProductGetType(Mat, MatProductType *);
     303             : PETSC_EXTERN PetscErrorCode MatProductGetMats(Mat, Mat *, Mat *, Mat *);
     304             : 
     305             : /* Logging support */
     306             : #define MAT_FILE_CLASSID 1211216 /* used to indicate matrices in binary files */
     307             : PETSC_EXTERN PetscClassId MAT_CLASSID;
     308             : PETSC_EXTERN PetscClassId MAT_COLORING_CLASSID;
     309             : PETSC_EXTERN PetscClassId MAT_FDCOLORING_CLASSID;
     310             : PETSC_EXTERN PetscClassId MAT_TRANSPOSECOLORING_CLASSID;
     311             : PETSC_EXTERN PetscClassId MAT_PARTITIONING_CLASSID;
     312             : PETSC_EXTERN PetscClassId MAT_COARSEN_CLASSID;
     313             : PETSC_EXTERN PetscClassId MAT_NULLSPACE_CLASSID;
     314             : PETSC_EXTERN PetscClassId MATMFFD_CLASSID;
     315             : 
     316             : /*E
     317             :    MatReuse - Indicates if matrices obtained from a previous call to `MatCreateSubMatrices()`, `MatCreateSubMatrix()`, `MatConvert()` or several other functions
     318             :    are to be reused to store the new matrix values.
     319             : 
     320             :    Values:
     321             : +  `MAT_INITIAL_MATRIX` - create a new matrix
     322             : .  `MAT_REUSE_MATRIX`   - reuse the matrix created with a previous call that used `MAT_INITIAL_MATRIX`
     323             : .  `MAT_INPLACE_MATRIX` - replace the first input matrix with the new matrix (not applicable to all functions)
     324             : -  `MAT_IGNORE_MATRIX`  - do not create a new matrix or reuse a give matrix, just ignore that matrix argument (not applicable to all functions)
     325             : 
     326             :     Level: beginner
     327             : 
     328             : .seealso: [](ch_matrices), `Mat`, `MatCreateSubMatrices()`, `MatCreateSubMatrix()`, `MatDestroyMatrices()`, `MatConvert()`
     329             : E*/
     330             : typedef enum {
     331             :   MAT_INITIAL_MATRIX,
     332             :   MAT_REUSE_MATRIX,
     333             :   MAT_IGNORE_MATRIX,
     334             :   MAT_INPLACE_MATRIX
     335             : } MatReuse;
     336             : 
     337             : /*E
     338             :     MatCreateSubMatrixOption - Indicates if matrices obtained from a call to `MatCreateSubMatrices()`
     339             :     include the matrix values. Currently it is only used by `MatGetSeqNonzeroStructure()`.
     340             : 
     341             :     Values:
     342             : +  `MAT_DO_NOT_GET_VALUES` - do not copy the matrix values
     343             : -  `MAT_GET_VALUES`        - copy the matrix values
     344             : 
     345             :     Level: developer
     346             : 
     347             :     Developer Note:
     348             :     Why is not just a boolean used for this information?
     349             : 
     350             : .seealso: [](ch_matrices), `Mat`, `MatDuplicateOption`, `PetscCopyMode`, `MatGetSeqNonzeroStructure()`
     351             : E*/
     352             : typedef enum {
     353             :   MAT_DO_NOT_GET_VALUES,
     354             :   MAT_GET_VALUES
     355             : } MatCreateSubMatrixOption;
     356             : 
     357             : PETSC_EXTERN PetscErrorCode MatInitializePackage(void);
     358             : PETSC_EXTERN PetscErrorCode MatFinalizePackage(void);
     359             : 
     360             : PETSC_EXTERN PetscErrorCode MatCreate(MPI_Comm, Mat *);
     361             : PETSC_EXTERN PetscErrorCode MatCreateFromOptions(MPI_Comm, const char *, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
     362             : PETSC_EXTERN PetscErrorCode MatSetSizes(Mat, PetscInt, PetscInt, PetscInt, PetscInt);
     363             : PETSC_EXTERN PetscErrorCode MatSetType(Mat, MatType);
     364             : PETSC_EXTERN PetscErrorCode MatGetVecType(Mat, VecType *);
     365             : PETSC_EXTERN PetscErrorCode MatSetVecType(Mat, VecType);
     366             : PETSC_EXTERN PetscErrorCode MatSetFromOptions(Mat);
     367             : PETSC_EXTERN PetscErrorCode MatViewFromOptions(Mat, PetscObject, const char[]);
     368             : PETSC_EXTERN PetscErrorCode MatRegister(const char[], PetscErrorCode (*)(Mat));
     369             : PETSC_EXTERN PetscErrorCode MatRegisterRootName(const char[], const char[], const char[]);
     370             : PETSC_EXTERN PetscErrorCode MatSetOptionsPrefix(Mat, const char[]);
     371             : PETSC_EXTERN PetscErrorCode MatSetOptionsPrefixFactor(Mat, const char[]);
     372             : PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefixFactor(Mat, const char[]);
     373             : PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefix(Mat, const char[]);
     374             : PETSC_EXTERN PetscErrorCode MatGetOptionsPrefix(Mat, const char *[]);
     375             : PETSC_EXTERN PetscErrorCode MatGetState(Mat, PetscObjectState *);
     376             : PETSC_EXTERN PetscErrorCode MatSetErrorIfFailure(Mat, PetscBool);
     377             : 
     378             : PETSC_EXTERN PetscFunctionList MatList;
     379             : PETSC_EXTERN PetscFunctionList MatColoringList;
     380             : PETSC_EXTERN PetscFunctionList MatPartitioningList;
     381             : 
     382             : /*E
     383             :    MatStructure - Indicates if two matrices have the same nonzero structure
     384             : 
     385             :    Values:
     386             : +  `SAME_NONZERO_PATTERN`      - the two matrices have identical nonzero patterns
     387             : .  `DIFFERENT_NONZERO_PATTERN` - the two matrices may have different nonzero patterns
     388             : .  `SUBSET_NONZERO_PATTERN`    - the nonzero pattern of the second matrix is a subset of the nonzero pattern of the first matrix
     389             : -  `UNKNOWN_NONZERO_PATTERN`   - there is no known relationship between the nonzero patterns. In this case the implementations
     390             :                                  may try to detect a relationship to optimize the operation
     391             : 
     392             :    Level: beginner
     393             : 
     394             :    Note:
     395             :    Certain matrix operations (such as `MatAXPY()`) can run much faster if the sparsity pattern of the matrices are the same. But actually determining if
     396             :    the patterns are the same may be costly. This provides a way for users who know something about the sparsity patterns to provide this information
     397             :    to certain PETSc routines.
     398             : 
     399             : .seealso: [](ch_matrices), `Mat`, `MatCopy()`, `MatAXPY()`, `MatAYPX()`
     400             : E*/
     401             : typedef enum {
     402             :   DIFFERENT_NONZERO_PATTERN,
     403             :   SUBSET_NONZERO_PATTERN,
     404             :   SAME_NONZERO_PATTERN,
     405             :   UNKNOWN_NONZERO_PATTERN
     406             : } MatStructure;
     407             : PETSC_EXTERN const char *const MatStructures[];
     408             : 
     409             : #if defined PETSC_HAVE_MKL_SPARSE
     410             : PETSC_EXTERN PetscErrorCode MatCreateSeqAIJMKL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
     411             : PETSC_EXTERN PetscErrorCode MatCreateMPIAIJMKL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
     412             : PETSC_EXTERN PetscErrorCode MatCreateBAIJMKL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
     413             : PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJMKL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
     414             : #endif
     415             : 
     416             : PETSC_EXTERN PetscErrorCode MatCreateMPIAIJPERM(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
     417             : PETSC_EXTERN PetscErrorCode MatCreateSeqAIJPERM(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
     418             : 
     419             : PETSC_EXTERN PetscErrorCode MatCreateSeqSELL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
     420             : PETSC_EXTERN PetscErrorCode MatCreateSELL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
     421             : PETSC_EXTERN PetscErrorCode MatSeqSELLSetPreallocation(Mat, PetscInt, const PetscInt[]);
     422             : PETSC_EXTERN PetscErrorCode MatMPISELLSetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
     423             : PETSC_EXTERN PetscErrorCode MatSeqSELLGetFillRatio(Mat, PetscReal *);
     424             : PETSC_EXTERN PetscErrorCode MatSeqSELLGetMaxSliceWidth(Mat, PetscInt *);
     425             : PETSC_EXTERN PetscErrorCode MatSeqSELLGetAvgSliceWidth(Mat, PetscReal *);
     426             : PETSC_EXTERN PetscErrorCode MatSeqSELLSetSliceHeight(Mat, PetscInt);
     427             : PETSC_EXTERN PetscErrorCode MatSeqSELLGetVarSliceSize(Mat, PetscReal *);
     428             : 
     429             : PETSC_EXTERN PetscErrorCode MatCreateSeqAIJSELL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
     430             : PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSELL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
     431             : PETSC_EXTERN PetscErrorCode MatMPISELLGetLocalMatCondensed(Mat, MatReuse, IS *, IS *, Mat *);
     432             : PETSC_EXTERN PetscErrorCode MatMPISELLGetSeqSELL(Mat, Mat *, Mat *, const PetscInt *[]);
     433             : 
     434             : PETSC_EXTERN PetscErrorCode MatCreateSeqDense(MPI_Comm, PetscInt, PetscInt, PetscScalar[], Mat *);
     435             : PETSC_EXTERN PetscErrorCode MatCreateDense(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar[], Mat *);
     436             : PETSC_EXTERN PetscErrorCode MatCreateSeqAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
     437             : PETSC_EXTERN PetscErrorCode MatCreateAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
     438             : PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[], Mat *);
     439             : PETSC_EXTERN PetscErrorCode MatUpdateMPIAIJWithArrays(Mat, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
     440             : PETSC_EXTERN PetscErrorCode MatUpdateMPIAIJWithArray(Mat, const PetscScalar[]);
     441             : PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSplitArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], PetscInt[], PetscInt[], PetscScalar[], Mat *);
     442             : PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSeqAIJ(MPI_Comm, Mat, Mat, const PetscInt[], Mat *);
     443             : 
     444             : PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
     445             : PETSC_EXTERN PetscErrorCode MatCreateBAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
     446             : PETSC_EXTERN PetscErrorCode MatCreateMPIBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[], Mat *);
     447             : 
     448             : PETSC_EXTERN PetscErrorCode MatSetPreallocationCOO(Mat, PetscCount, PetscInt[], PetscInt[]);
     449             : PETSC_EXTERN PetscErrorCode MatSetPreallocationCOOLocal(Mat, PetscCount, PetscInt[], PetscInt[]);
     450             : PETSC_EXTERN PetscErrorCode MatSetValuesCOO(Mat, const PetscScalar[], InsertMode);
     451             : 
     452             : PETSC_EXTERN PetscErrorCode MatCreateMPIAdj(MPI_Comm, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscInt[], Mat *);
     453             : PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
     454             : 
     455             : PETSC_EXTERN PetscErrorCode MatCreateSBAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
     456             : PETSC_EXTERN PetscErrorCode MatCreateMPISBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[], Mat *);
     457             : PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
     458             : PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
     459             : PETSC_EXTERN PetscErrorCode MatXAIJSetPreallocation(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscInt[], const PetscInt[]);
     460             : 
     461             : PETSC_EXTERN PetscErrorCode MatCreateShell(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, void *, Mat *);
     462             : PETSC_EXTERN PetscErrorCode MatCreateCentering(MPI_Comm, PetscInt, PetscInt, Mat *);
     463             : PETSC_EXTERN PetscErrorCode MatCreateNormal(Mat, Mat *);
     464             : PETSC_EXTERN PetscErrorCode MatCreateNormalHermitian(Mat, Mat *);
     465             : PETSC_EXTERN PetscErrorCode MatCreateLRC(Mat, Mat, Vec, Mat, Mat *);
     466             : PETSC_EXTERN PetscErrorCode MatLRCGetMats(Mat, Mat *, Mat *, Vec *, Mat *);
     467             : PETSC_EXTERN PetscErrorCode MatLRCSetMats(Mat, Mat, Mat, Vec, Mat);
     468             : PETSC_EXTERN PetscErrorCode MatCreateIS(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, ISLocalToGlobalMapping, ISLocalToGlobalMapping, Mat *);
     469             : PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCRL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
     470             : PETSC_EXTERN PetscErrorCode MatCreateMPIAIJCRL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
     471             : 
     472             : PETSC_EXTERN PetscErrorCode MatCreateScatter(MPI_Comm, VecScatter, Mat *);
     473             : PETSC_EXTERN PetscErrorCode MatScatterSetVecScatter(Mat, VecScatter);
     474             : PETSC_EXTERN PetscErrorCode MatScatterGetVecScatter(Mat, VecScatter *);
     475             : PETSC_EXTERN PetscErrorCode MatCreateBlockMat(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt *, Mat *);
     476             : PETSC_EXTERN PetscErrorCode MatCompositeAddMat(Mat, Mat);
     477             : PETSC_EXTERN PetscErrorCode MatCompositeMerge(Mat);
     478             : typedef enum {
     479             :   MAT_COMPOSITE_MERGE_RIGHT,
     480             :   MAT_COMPOSITE_MERGE_LEFT
     481             : } MatCompositeMergeType;
     482             : PETSC_EXTERN PetscErrorCode MatCompositeSetMergeType(Mat, MatCompositeMergeType);
     483             : PETSC_EXTERN PetscErrorCode MatCreateComposite(MPI_Comm, PetscInt, const Mat *, Mat *);
     484             : /*E
     485             :     MatCompositeType - indicates what type of `MATCOMPOSITE` is used
     486             : 
     487             :     Values:
     488             : +  `MAT_COMPOSITE_ADDITIVE`       - sum of matrices (default)
     489             : -  `MAT_COMPOSITE_MULTIPLICATIVE` - product of matrices
     490             : 
     491             :     Level: beginner
     492             : 
     493             : .seealso: [](ch_matrices), `MATCOMPOSITE`, `MatCompositeSetType()`, `MatCompositeGetType()`
     494             : E*/
     495             : typedef enum {
     496             :   MAT_COMPOSITE_ADDITIVE,
     497             :   MAT_COMPOSITE_MULTIPLICATIVE
     498             : } MatCompositeType;
     499             : PETSC_EXTERN PetscErrorCode MatCompositeSetType(Mat, MatCompositeType);
     500             : PETSC_EXTERN PetscErrorCode MatCompositeGetType(Mat, MatCompositeType *);
     501             : PETSC_EXTERN PetscErrorCode MatCompositeSetMatStructure(Mat, MatStructure);
     502             : PETSC_EXTERN PetscErrorCode MatCompositeGetMatStructure(Mat, MatStructure *);
     503             : PETSC_EXTERN PetscErrorCode MatCompositeGetNumberMat(Mat, PetscInt *);
     504             : PETSC_EXTERN PetscErrorCode MatCompositeGetMat(Mat, PetscInt, Mat *);
     505             : PETSC_EXTERN PetscErrorCode MatCompositeSetScalings(Mat, const PetscScalar *);
     506             : 
     507             : PETSC_EXTERN PetscErrorCode MatCreateFFT(MPI_Comm, PetscInt, const PetscInt[], MatType, Mat *);
     508             : PETSC_EXTERN PetscErrorCode MatCreateSeqCUFFT(MPI_Comm, PetscInt, const PetscInt[], Mat *);
     509             : 
     510             : PETSC_EXTERN PetscErrorCode MatCreateTranspose(Mat, Mat *);
     511             : PETSC_EXTERN PetscErrorCode MatTransposeGetMat(Mat, Mat *);
     512             : PETSC_EXTERN PetscErrorCode MatCreateHermitianTranspose(Mat, Mat *);
     513             : PETSC_EXTERN PetscErrorCode MatHermitianTransposeGetMat(Mat, Mat *);
     514             : PETSC_EXTERN PetscErrorCode MatNormalGetMat(Mat, Mat *);
     515             : PETSC_EXTERN PetscErrorCode MatNormalHermitianGetMat(Mat, Mat *);
     516             : PETSC_EXTERN PetscErrorCode MatCreateSubMatrixVirtual(Mat, IS, IS, Mat *);
     517             : PETSC_EXTERN PetscErrorCode MatSubMatrixVirtualUpdate(Mat, Mat, IS, IS);
     518             : PETSC_EXTERN PetscErrorCode MatCreateLocalRef(Mat, IS, IS, Mat *);
     519             : PETSC_EXTERN PetscErrorCode MatCreateConstantDiagonal(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar, Mat *);
     520             : PETSC_EXTERN PetscErrorCode MatCreateDiagonal(Vec, Mat *);
     521             : PETSC_EXTERN PetscErrorCode MatDiagonalGetDiagonal(Mat, Vec *);
     522             : PETSC_EXTERN PetscErrorCode MatDiagonalRestoreDiagonal(Mat, Vec *);
     523             : PETSC_EXTERN PetscErrorCode MatDiagonalGetInverseDiagonal(Mat, Vec *);
     524             : PETSC_EXTERN PetscErrorCode MatDiagonalRestoreInverseDiagonal(Mat, Vec *);
     525             : 
     526             : #if defined(PETSC_HAVE_HYPRE)
     527             : PETSC_EXTERN PetscErrorCode MatHYPRESetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
     528             : #endif
     529             : 
     530             : PETSC_EXTERN PetscErrorCode MatPythonSetType(Mat, const char[]);
     531             : PETSC_EXTERN PetscErrorCode MatPythonGetType(Mat, const char *[]);
     532             : PETSC_EXTERN PetscErrorCode MatPythonCreate(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const char[], Mat *);
     533             : 
     534             : PETSC_EXTERN PetscErrorCode MatResetPreallocation(Mat);
     535             : PETSC_EXTERN PetscErrorCode MatResetHash(Mat);
     536             : PETSC_EXTERN PetscErrorCode MatSetUp(Mat);
     537             : PETSC_EXTERN PetscErrorCode MatDestroy(Mat *);
     538             : PETSC_EXTERN PetscErrorCode MatGetNonzeroState(Mat, PetscObjectState *);
     539             : 
     540             : PETSC_EXTERN PetscErrorCode MatConjugate(Mat);
     541             : PETSC_EXTERN PetscErrorCode MatRealPart(Mat);
     542             : PETSC_EXTERN PetscErrorCode MatImaginaryPart(Mat);
     543             : PETSC_EXTERN PetscErrorCode MatGetDiagonalBlock(Mat, Mat *);
     544             : PETSC_EXTERN PetscErrorCode MatGetTrace(Mat, PetscScalar *);
     545             : PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonal(Mat, const PetscScalar **);
     546             : PETSC_EXTERN PetscErrorCode MatInvertVariableBlockDiagonal(Mat, PetscInt, const PetscInt *, PetscScalar *);
     547             : PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonalMat(Mat, Mat);
     548             : PETSC_EXTERN PetscErrorCode MatInvertVariableBlockEnvelope(Mat, MatReuse, Mat *);
     549             : PETSC_EXTERN PetscErrorCode MatComputeVariableBlockEnvelope(Mat);
     550             : 
     551             : PETSC_EXTERN PetscErrorCode MatSetValues(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
     552             : PETSC_EXTERN PetscErrorCode MatSetValuesIS(Mat, IS, IS, const PetscScalar[], InsertMode);
     553             : PETSC_EXTERN PetscErrorCode MatSetValuesBlocked(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
     554             : PETSC_EXTERN PetscErrorCode MatSetValuesRow(Mat, PetscInt, const PetscScalar[]);
     555             : PETSC_EXTERN PetscErrorCode MatSetValuesRowLocal(Mat, PetscInt, const PetscScalar[]);
     556             : PETSC_EXTERN PetscErrorCode MatSetValuesBatch(Mat, PetscInt, PetscInt, PetscInt[], const PetscScalar[]);
     557             : PETSC_EXTERN PetscErrorCode MatSetRandom(Mat, PetscRandom);
     558             : 
     559             : /*S
     560             :    MatStencil - Data structure (C struct) for storing information about rows and
     561             :    columns of a matrix as indexed on an associated grid. These are arguments to `MatSetStencil()` and `MatSetBlockStencil()`
     562             : 
     563             :    Level: beginner
     564             : 
     565             :    Notes:
     566             :    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).
     567             :    The c represents the degrees of freedom at each grid point (the dof argument to `DMDASetDOF()`). If dof is 1 then this entry is ignored.
     568             : 
     569             :    For stencil access to vectors see `DMDAVecGetArray()`, `DMDAVecGetArrayF90()`.
     570             : 
     571             :    For staggered grids, see `DMStagStencil`
     572             : 
     573             :    Fortran Note:
     574             :    See `MatSetValuesStencil()` for details.
     575             : 
     576             : .seealso: [](ch_matrices), `Mat`, `MatSetValuesStencil()`, `MatSetStencil()`, `MatSetValuesBlockedStencil()`, `DMDAVecGetArray()`, `DMDAVecGetArrayF90()`,
     577             :           `DMStagStencil`
     578             : S*/
     579             : typedef struct {
     580             :   PetscInt k, j, i, c;
     581             : } MatStencil;
     582             : 
     583             : PETSC_EXTERN PetscErrorCode MatSetValuesStencil(Mat, PetscInt, const MatStencil[], PetscInt, const MatStencil[], const PetscScalar[], InsertMode);
     584             : PETSC_EXTERN PetscErrorCode MatSetValuesBlockedStencil(Mat, PetscInt, const MatStencil[], PetscInt, const MatStencil[], const PetscScalar[], InsertMode);
     585             : PETSC_EXTERN PetscErrorCode MatSetStencil(Mat, PetscInt, const PetscInt[], const PetscInt[], PetscInt);
     586             : 
     587             : /*E
     588             :     MatAssemblyType - Indicates if the process of setting values into the matrix is complete, and the matrix is ready for use
     589             : 
     590             :     Values:
     591             : +   `MAT_FLUSH_ASSEMBLY` - you will continue to put values into the matrix
     592             : -   `MAT_FINAL_ASSEMBLY` - you wish to use the matrix with the values currently inserted
     593             : 
     594             :     Level: beginner
     595             : 
     596             : .seealso: [](ch_matrices), `Mat`, `MatSetValues`, `MatAssemblyBegin()`, `MatAssemblyEnd()`
     597             : E*/
     598             : typedef enum {
     599             :   MAT_FLUSH_ASSEMBLY = 1,
     600             :   MAT_FINAL_ASSEMBLY = 0
     601             : } MatAssemblyType;
     602             : 
     603             : PETSC_EXTERN PetscErrorCode MatAssemblyBegin(Mat, MatAssemblyType);
     604             : PETSC_EXTERN PetscErrorCode MatAssemblyEnd(Mat, MatAssemblyType);
     605             : PETSC_EXTERN PetscErrorCode MatAssembled(Mat, PetscBool *);
     606             : 
     607             : /*E
     608             :    MatOption - Options that may be set for a matrix that indicate properties of the matrix or affect its behavior or storage
     609             : 
     610             :    Level: beginner
     611             : 
     612             :    Note:
     613             :    See `MatSetOption()` for the use of the options
     614             : 
     615             :    Developer Note:
     616             :    Entries that are negative need not be called collectively by all processes.
     617             : 
     618             : .seealso: [](ch_matrices), `Mat`, `MatSetOption()`
     619             : E*/
     620             : typedef enum {
     621             :   MAT_OPTION_MIN                  = -3,
     622             :   MAT_UNUSED_NONZERO_LOCATION_ERR = -2,
     623             :   MAT_ROW_ORIENTED                = -1,
     624             :   MAT_SYMMETRIC                   = 1,
     625             :   MAT_STRUCTURALLY_SYMMETRIC      = 2,
     626             :   MAT_FORCE_DIAGONAL_ENTRIES      = 3,
     627             :   MAT_IGNORE_OFF_PROC_ENTRIES     = 4,
     628             :   MAT_USE_HASH_TABLE              = 5,
     629             :   MAT_KEEP_NONZERO_PATTERN        = 6,
     630             :   MAT_IGNORE_ZERO_ENTRIES         = 7,
     631             :   MAT_USE_INODES                  = 8,
     632             :   MAT_HERMITIAN                   = 9,
     633             :   MAT_SYMMETRY_ETERNAL            = 10,
     634             :   MAT_NEW_NONZERO_LOCATION_ERR    = 11,
     635             :   MAT_IGNORE_LOWER_TRIANGULAR     = 12,
     636             :   MAT_ERROR_LOWER_TRIANGULAR      = 13,
     637             :   MAT_GETROW_UPPERTRIANGULAR      = 14,
     638             :   MAT_SPD                         = 15,
     639             :   MAT_NO_OFF_PROC_ZERO_ROWS       = 16,
     640             :   MAT_NO_OFF_PROC_ENTRIES         = 17,
     641             :   MAT_NEW_NONZERO_LOCATIONS       = 18,
     642             :   MAT_NEW_NONZERO_ALLOCATION_ERR  = 19,
     643             :   MAT_SUBSET_OFF_PROC_ENTRIES     = 20,
     644             :   MAT_SUBMAT_SINGLEIS             = 21,
     645             :   MAT_STRUCTURE_ONLY              = 22,
     646             :   MAT_SORTED_FULL                 = 23,
     647             :   MAT_FORM_EXPLICIT_TRANSPOSE     = 24,
     648             :   MAT_STRUCTURAL_SYMMETRY_ETERNAL = 25,
     649             :   MAT_SPD_ETERNAL                 = 26,
     650             :   MAT_OPTION_MAX                  = 27
     651             : } MatOption;
     652             : 
     653             : PETSC_EXTERN const char *const *MatOptions;
     654             : PETSC_EXTERN PetscErrorCode     MatSetOption(Mat, MatOption, PetscBool);
     655             : PETSC_EXTERN PetscErrorCode     MatGetOption(Mat, MatOption, PetscBool *);
     656             : PETSC_EXTERN PetscErrorCode     MatPropagateSymmetryOptions(Mat, Mat);
     657             : PETSC_EXTERN PetscErrorCode     MatGetType(Mat, MatType *);
     658             : 
     659             : PETSC_EXTERN PetscErrorCode    MatGetValues(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], PetscScalar[]);
     660             : PETSC_EXTERN PetscErrorCode    MatGetRow(Mat, PetscInt, PetscInt *, const PetscInt *[], const PetscScalar *[]);
     661             : PETSC_EXTERN PetscErrorCode    MatRestoreRow(Mat, PetscInt, PetscInt *, const PetscInt *[], const PetscScalar *[]);
     662             : PETSC_EXTERN PetscErrorCode    MatGetRowUpperTriangular(Mat);
     663             : PETSC_EXTERN PetscErrorCode    MatRestoreRowUpperTriangular(Mat);
     664             : PETSC_EXTERN PetscErrorCode    MatGetColumnVector(Mat, Vec, PetscInt);
     665             : PETSC_EXTERN PetscErrorCode    MatSeqAIJGetArray(Mat, PetscScalar *[]);
     666             : PETSC_EXTERN PetscErrorCode    MatSeqAIJGetArrayRead(Mat, const PetscScalar *[]);
     667             : PETSC_EXTERN PetscErrorCode    MatSeqAIJGetArrayWrite(Mat, PetscScalar *[]);
     668             : PETSC_EXTERN PetscErrorCode    MatSeqAIJRestoreArray(Mat, PetscScalar *[]);
     669             : PETSC_EXTERN PetscErrorCode    MatSeqAIJRestoreArrayRead(Mat, const PetscScalar *[]);
     670             : PETSC_EXTERN PetscErrorCode    MatSeqAIJRestoreArrayWrite(Mat, PetscScalar *[]);
     671             : PETSC_EXTERN PetscErrorCode    MatSeqAIJGetMaxRowNonzeros(Mat, PetscInt *);
     672             : PETSC_EXTERN PetscErrorCode    MatSeqAIJSetValuesLocalFast(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
     673             : PETSC_EXTERN PetscErrorCode    MatSeqAIJSetType(Mat, MatType);
     674             : PETSC_EXTERN PetscErrorCode    MatSeqAIJKron(Mat, Mat, MatReuse, Mat *);
     675             : PETSC_EXTERN PetscErrorCode    MatSeqAIJRegister(const char[], PetscErrorCode (*)(Mat, MatType, MatReuse, Mat *));
     676             : PETSC_EXTERN PetscFunctionList MatSeqAIJList;
     677             : PETSC_EXTERN PetscErrorCode    MatSeqBAIJGetArray(Mat, PetscScalar *[]);
     678             : PETSC_EXTERN PetscErrorCode    MatSeqBAIJRestoreArray(Mat, PetscScalar *[]);
     679             : PETSC_EXTERN PetscErrorCode    MatSeqSBAIJGetArray(Mat, PetscScalar *[]);
     680             : PETSC_EXTERN PetscErrorCode    MatSeqSBAIJRestoreArray(Mat, PetscScalar *[]);
     681             : PETSC_EXTERN PetscErrorCode    MatDenseGetArray(Mat, PetscScalar *[]);
     682             : PETSC_EXTERN PetscErrorCode    MatDenseRestoreArray(Mat, PetscScalar *[]);
     683             : PETSC_EXTERN PetscErrorCode    MatDensePlaceArray(Mat, const PetscScalar[]);
     684             : PETSC_EXTERN PetscErrorCode    MatDenseReplaceArray(Mat, const PetscScalar[]);
     685             : PETSC_EXTERN PetscErrorCode    MatDenseResetArray(Mat);
     686             : PETSC_EXTERN PetscErrorCode    MatDenseGetArrayRead(Mat, const PetscScalar *[]);
     687             : PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayRead(Mat, const PetscScalar *[]);
     688             : PETSC_EXTERN PetscErrorCode    MatDenseGetArrayWrite(Mat, PetscScalar *[]);
     689             : PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayWrite(Mat, PetscScalar *[]);
     690             : PETSC_EXTERN PetscErrorCode    MatDenseGetArrayAndMemType(Mat, PetscScalar *[], PetscMemType *);
     691             : PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayAndMemType(Mat, PetscScalar *[]);
     692             : PETSC_EXTERN PetscErrorCode    MatDenseGetArrayReadAndMemType(Mat, const PetscScalar *[], PetscMemType *);
     693             : PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayReadAndMemType(Mat, const PetscScalar *[]);
     694             : PETSC_EXTERN PetscErrorCode    MatDenseGetArrayWriteAndMemType(Mat, PetscScalar *[], PetscMemType *);
     695             : PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayWriteAndMemType(Mat, PetscScalar *[]);
     696             : PETSC_EXTERN PetscErrorCode    MatGetBlockSize(Mat, PetscInt *);
     697             : PETSC_EXTERN PetscErrorCode    MatSetBlockSize(Mat, PetscInt);
     698             : PETSC_EXTERN PetscErrorCode    MatGetBlockSizes(Mat, PetscInt *, PetscInt *);
     699             : PETSC_EXTERN PetscErrorCode    MatSetBlockSizes(Mat, PetscInt, PetscInt);
     700             : PETSC_EXTERN PetscErrorCode    MatSetBlockSizesFromMats(Mat, Mat, Mat);
     701             : PETSC_EXTERN PetscErrorCode    MatSetVariableBlockSizes(Mat, PetscInt, const PetscInt[]);
     702             : PETSC_EXTERN PetscErrorCode    MatGetVariableBlockSizes(Mat, PetscInt *, const PetscInt *[]);
     703             : 
     704             : PETSC_EXTERN PetscErrorCode MatDenseGetColumn(Mat, PetscInt, PetscScalar *[]);
     705             : PETSC_EXTERN PetscErrorCode MatDenseRestoreColumn(Mat, PetscScalar *[]);
     706             : PETSC_EXTERN PetscErrorCode MatDenseGetColumnVec(Mat, PetscInt, Vec *);
     707             : PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVec(Mat, PetscInt, Vec *);
     708             : PETSC_EXTERN PetscErrorCode MatDenseGetColumnVecRead(Mat, PetscInt, Vec *);
     709             : PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVecRead(Mat, PetscInt, Vec *);
     710             : PETSC_EXTERN PetscErrorCode MatDenseGetColumnVecWrite(Mat, PetscInt, Vec *);
     711             : PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVecWrite(Mat, PetscInt, Vec *);
     712             : PETSC_EXTERN PetscErrorCode MatDenseGetSubMatrix(Mat, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
     713             : PETSC_EXTERN PetscErrorCode MatDenseRestoreSubMatrix(Mat, Mat *);
     714             : 
     715             : PETSC_EXTERN PetscErrorCode MatMult(Mat, Vec, Vec);
     716             : PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat, Vec, Vec);
     717             : PETSC_EXTERN PetscErrorCode MatMultAdd(Mat, Vec, Vec, Vec);
     718             : PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat, Vec, Vec);
     719             : PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat, Vec, Vec);
     720             : PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat, Mat, PetscReal, PetscBool *);
     721             : PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat, Mat, PetscReal, PetscBool *);
     722             : PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat, Vec, Vec, Vec);
     723             : PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat, Vec, Vec, Vec);
     724             : PETSC_EXTERN PetscErrorCode MatMatSolve(Mat, Mat, Mat);
     725             : PETSC_EXTERN PetscErrorCode MatMatSolveTranspose(Mat, Mat, Mat);
     726             : PETSC_EXTERN PetscErrorCode MatMatTransposeSolve(Mat, Mat, Mat);
     727             : PETSC_EXTERN PetscErrorCode MatResidual(Mat, Vec, Vec, Vec);
     728             : 
     729             : /*E
     730             :   MatDuplicateOption - Indicates if a duplicated sparse matrix should have
     731             :   its numerical values copied over or just its nonzero structure.
     732             : 
     733             :   Values:
     734             : + `MAT_DO_NOT_COPY_VALUES`    - Create a matrix using the same nonzero pattern as the original matrix,
     735             :                                 with zeros for the numerical values
     736             : . `MAT_COPY_VALUES`           - Create a matrix with the same nonzero pattern as the original matrix
     737             :                                 and with the same numerical values.
     738             : - `MAT_SHARE_NONZERO_PATTERN` - Create a matrix that shares the nonzero structure with the previous matrix
     739             :                                 and does not copy it, using zeros for the numerical values. The parent and
     740             :                                 child matrices will share their index (i and j) arrays, and you cannot
     741             :                                 insert new nonzero entries into either matrix
     742             : 
     743             :   Level: beginner
     744             : 
     745             :   Note:
     746             :   Many matrix types (including `MATSEQAIJ`) do not support the `MAT_SHARE_NONZERO_PATTERN` optimization; in
     747             :   this case the behavior is as if `MAT_DO_NOT_COPY_VALUES` has been specified.
     748             : 
     749             : .seealso: [](ch_matrices), `Mat`, `MatDuplicate()`
     750             : E*/
     751             : typedef enum {
     752             :   MAT_DO_NOT_COPY_VALUES,
     753             :   MAT_COPY_VALUES,
     754             :   MAT_SHARE_NONZERO_PATTERN
     755             : } MatDuplicateOption;
     756             : 
     757             : PETSC_EXTERN PetscErrorCode MatConvert(Mat, MatType, MatReuse, Mat *);
     758             : PETSC_EXTERN PetscErrorCode MatDuplicate(Mat, MatDuplicateOption, Mat *);
     759             : 
     760             : PETSC_EXTERN PetscErrorCode MatCopy(Mat, Mat, MatStructure);
     761             : PETSC_EXTERN PetscErrorCode MatView(Mat, PetscViewer);
     762             : PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat, PetscReal, PetscBool *);
     763             : PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat, PetscBool *);
     764             : PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat, PetscReal, PetscBool *);
     765             : PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat, PetscBool *, PetscBool *);
     766             : PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat, PetscBool *, PetscBool *);
     767             : PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetricKnown(Mat, PetscBool *, PetscBool *);
     768             : PETSC_EXTERN PetscErrorCode MatIsSPDKnown(Mat, PetscBool *, PetscBool *);
     769             : PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat, PetscBool *, PetscInt *);
     770             : PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);
     771             : 
     772             : PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
     773             : PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
     774             : PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
     775             : PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
     776             : 
     777             : /*S
     778             :    MatInfo - Context of matrix information, used with `MatGetInfo()`
     779             : 
     780             :    Level: intermediate
     781             : 
     782             :    Fortran Note:
     783             :    Information is stored as a double-precision array of dimension `MAT_INFO_SIZE`
     784             : 
     785             : .seealso: [](ch_matrices), `Mat`, `MatGetInfo()`, `MatInfoType`
     786             : S*/
     787             : typedef struct {
     788             :   PetscLogDouble block_size;                          /* block size */
     789             :   PetscLogDouble nz_allocated, nz_used, nz_unneeded;  /* number of nonzeros */
     790             :   PetscLogDouble memory;                              /* memory allocated */
     791             :   PetscLogDouble assemblies;                          /* number of matrix assemblies called */
     792             :   PetscLogDouble mallocs;                             /* number of mallocs during MatSetValues() */
     793             :   PetscLogDouble fill_ratio_given, fill_ratio_needed; /* fill ratio for LU/ILU */
     794             :   PetscLogDouble factor_mallocs;                      /* number of mallocs during factorization */
     795             : } MatInfo;
     796             : 
     797             : /*E
     798             :     MatInfoType - Indicates if you want information about the local part of the matrix,
     799             :     the entire parallel matrix or the maximum over all the local parts.
     800             : 
     801             :     Values:
     802             : +   `MAT_LOCAL`      - values for each MPI process part of the matrix
     803             : .   `MAT_GLOBAL_MAX` - maximum of each value over all MPI processes
     804             : -   `MAT_GLOBAL_SUM` - sum of each value over all MPI processes
     805             : 
     806             :     Level: beginner
     807             : 
     808             : .seealso: [](ch_matrices), `MatGetInfo()`, `MatInfo`
     809             : E*/
     810             : typedef enum {
     811             :   MAT_LOCAL      = 1,
     812             :   MAT_GLOBAL_MAX = 2,
     813             :   MAT_GLOBAL_SUM = 3
     814             : } MatInfoType;
     815             : PETSC_EXTERN PetscErrorCode MatGetInfo(Mat, MatInfoType, MatInfo *);
     816             : PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat, Vec);
     817             : PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat, Vec, PetscInt[]);
     818             : PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat, Vec, PetscInt[]);
     819             : PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat, Vec, PetscInt[]);
     820             : PETSC_EXTERN PetscErrorCode MatGetRowSumAbs(Mat, Vec);
     821             : PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat, Vec, PetscInt[]);
     822             : PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat, Vec);
     823             : PETSC_EXTERN PetscErrorCode MatTranspose(Mat, MatReuse, Mat *);
     824             : PETSC_EXTERN PetscErrorCode MatTransposeSymbolic(Mat, Mat *);
     825             : PETSC_EXTERN PetscErrorCode MatTransposeSetPrecursor(Mat, Mat);
     826             : PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat, MatReuse, Mat *);
     827             : PETSC_EXTERN PetscErrorCode MatPermute(Mat, IS, IS, Mat *);
     828             : PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat, Vec, Vec);
     829             : PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat, Vec, InsertMode);
     830             : 
     831             : PETSC_EXTERN PetscErrorCode MatEqual(Mat, Mat, PetscBool *);
     832             : PETSC_EXTERN PetscErrorCode MatMultEqual(Mat, Mat, PetscInt, PetscBool *);
     833             : PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat, Mat, PetscInt, PetscBool *);
     834             : PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat, Mat, PetscInt, PetscBool *);
     835             : PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat, Mat, PetscInt, PetscBool *);
     836             : PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeEqual(Mat, Mat, PetscInt, PetscBool *);
     837             : PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAddEqual(Mat, Mat, PetscInt, PetscBool *);
     838             : PETSC_EXTERN PetscErrorCode MatMatMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
     839             : PETSC_EXTERN PetscErrorCode MatTransposeMatMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
     840             : PETSC_EXTERN PetscErrorCode MatMatTransposeMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
     841             : PETSC_EXTERN PetscErrorCode MatPtAPMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
     842             : PETSC_EXTERN PetscErrorCode MatRARtMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
     843             : PETSC_EXTERN PetscErrorCode MatIsLinear(Mat, PetscInt, PetscBool *);
     844             : 
     845             : PETSC_EXTERN PetscErrorCode MatNorm(Mat, NormType, PetscReal *);
     846             : PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat, NormType, PetscReal *);
     847             : PETSC_EXTERN PetscErrorCode MatGetColumnSums(Mat, PetscScalar *);
     848             : PETSC_EXTERN PetscErrorCode MatGetColumnSumsRealPart(Mat, PetscReal *);
     849             : PETSC_EXTERN PetscErrorCode MatGetColumnSumsImaginaryPart(Mat, PetscReal *);
     850             : PETSC_EXTERN PetscErrorCode MatGetColumnMeans(Mat, PetscScalar *);
     851             : PETSC_EXTERN PetscErrorCode MatGetColumnMeansRealPart(Mat, PetscReal *);
     852             : PETSC_EXTERN PetscErrorCode MatGetColumnMeansImaginaryPart(Mat, PetscReal *);
     853             : PETSC_EXTERN PetscErrorCode MatGetColumnReductions(Mat, PetscInt, PetscReal *);
     854             : PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
     855             : PETSC_EXTERN PetscErrorCode MatSetInf(Mat);
     856             : PETSC_EXTERN PetscErrorCode MatZeroRows(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
     857             : PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat, IS, PetscScalar, Vec, Vec);
     858             : PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat, PetscInt, const MatStencil[], PetscScalar, Vec, Vec);
     859             : PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat, PetscInt, const MatStencil[], PetscScalar, Vec, Vec);
     860             : PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
     861             : PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat, IS, PetscScalar, Vec, Vec);
     862             : 
     863             : PETSC_EXTERN PetscErrorCode MatGetSize(Mat, PetscInt *, PetscInt *);
     864             : PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat, PetscInt *, PetscInt *);
     865             : PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat, PetscInt *, PetscInt *);
     866             : PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat, const PetscInt **);
     867             : PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat, PetscInt *, PetscInt *);
     868             : PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat, const PetscInt **);
     869             : PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat, IS *, IS *);
     870             : 
     871             : PETSC_EXTERN PetscErrorCode MatCreateSubMatrices(Mat, PetscInt, const IS[], const IS[], MatReuse, Mat *[]);
     872             : PETSC_DEPRECATED_FUNCTION(3, 8, 0, "MatCreateSubMatrices()", ) static inline PetscErrorCode MatGetSubMatrices(Mat mat, PetscInt n, const IS irow[], const IS icol[], MatReuse scall, Mat *submat[])
     873             : {
     874             :   return MatCreateSubMatrices(mat, n, irow, icol, scall, submat);
     875             : }
     876             : PETSC_EXTERN PetscErrorCode MatCreateSubMatricesMPI(Mat, PetscInt, const IS[], const IS[], MatReuse, Mat *[]);
     877             : PETSC_DEPRECATED_FUNCTION(3, 8, 0, "MatCreateSubMatricesMPI()", ) static inline PetscErrorCode MatGetSubMatricesMPI(Mat mat, PetscInt n, const IS irow[], const IS icol[], MatReuse scall, Mat *submat[])
     878             : {
     879             :   return MatCreateSubMatricesMPI(mat, n, irow, icol, scall, submat);
     880             : }
     881             : PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt, Mat *[]);
     882             : PETSC_EXTERN PetscErrorCode MatDestroySubMatrices(PetscInt, Mat *[]);
     883             : PETSC_EXTERN PetscErrorCode MatCreateSubMatrix(Mat, IS, IS, MatReuse, Mat *);
     884             : PETSC_DEPRECATED_FUNCTION(3, 8, 0, "MatCreateSubMatrix()", ) static inline PetscErrorCode MatGetSubMatrix(Mat mat, IS isrow, IS iscol, MatReuse cll, Mat *newmat)
     885             : {
     886             :   return MatCreateSubMatrix(mat, isrow, iscol, cll, newmat);
     887             : }
     888             : PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat, IS, IS, Mat *);
     889             : PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat, IS, IS, Mat *);
     890             : PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat, Mat *);
     891             : PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat *);
     892             : 
     893             : PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm, Mat, PetscInt, PetscInt, MatReuse, Mat *);
     894             : PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm, Mat, PetscInt, PetscInt, Mat *);
     895             : PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat, Mat);
     896             : PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat, MatReuse, Mat *);
     897             : PETSC_EXTERN PetscErrorCode MatAIJGetLocalMat(Mat, Mat *);
     898             : PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat, MatReuse, IS *, IS *, Mat *);
     899             : PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatMerge(Mat, MatReuse, IS *, Mat *);
     900             : PETSC_EXTERN PetscErrorCode MatMPIAIJGetNumberNonzeros(Mat, PetscCount *);
     901             : PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat, Mat, MatReuse, IS *, IS *, Mat *);
     902             : PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *, const PetscInt *[]);
     903             : 
     904             : PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat, PetscInt, IS[], PetscInt);
     905             : PETSC_EXTERN PetscErrorCode MatIncreaseOverlapSplit(Mat mat, PetscInt n, IS is[], PetscInt ov);
     906             : PETSC_EXTERN PetscErrorCode MatMPIAIJSetUseScalableIncreaseOverlap(Mat, PetscBool);
     907             : 
     908             : PETSC_EXTERN PetscErrorCode MatMatMult(Mat, Mat, MatReuse, PetscReal, Mat *);
     909             : 
     910             : PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat, Mat, Mat, MatReuse, PetscReal, Mat *);
     911             : PETSC_EXTERN PetscErrorCode MatGalerkin(Mat, Mat, Mat, MatReuse, PetscReal, Mat *);
     912             : 
     913             : PETSC_EXTERN PetscErrorCode MatPtAP(Mat, Mat, MatReuse, PetscReal, Mat *);
     914             : PETSC_EXTERN PetscErrorCode MatRARt(Mat, Mat, MatReuse, PetscReal, Mat *);
     915             : 
     916             : PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat, Mat, MatReuse, PetscReal, Mat *);
     917             : PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat, Mat, MatReuse, PetscReal, Mat *);
     918             : 
     919             : PETSC_EXTERN PetscErrorCode MatAXPY(Mat, PetscScalar, Mat, MatStructure);
     920             : PETSC_EXTERN PetscErrorCode MatAYPX(Mat, PetscScalar, Mat, MatStructure);
     921             : 
     922             : PETSC_EXTERN PetscErrorCode MatScale(Mat, PetscScalar);
     923             : PETSC_EXTERN PetscErrorCode MatShift(Mat, PetscScalar);
     924             : 
     925             : PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat, ISLocalToGlobalMapping, ISLocalToGlobalMapping);
     926             : PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat, ISLocalToGlobalMapping *, ISLocalToGlobalMapping *);
     927             : PETSC_EXTERN PetscErrorCode MatGetLayouts(Mat, PetscLayout *, PetscLayout *);
     928             : PETSC_EXTERN PetscErrorCode MatSetLayouts(Mat, PetscLayout, PetscLayout);
     929             : PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
     930             : PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat, IS, PetscScalar, Vec, Vec);
     931             : PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
     932             : PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat, IS, PetscScalar, Vec, Vec);
     933             : PETSC_EXTERN PetscErrorCode MatGetValuesLocal(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], PetscScalar[]);
     934             : PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
     935             : PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
     936             : 
     937             : PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat, PetscInt, PetscInt);
     938             : PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat, PetscInt *, PetscInt *, PetscInt *, PetscInt *);
     939             : 
     940             : PETSC_EXTERN PetscErrorCode MatInterpolate(Mat, Vec, Vec);
     941             : PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat, Vec, Vec, Vec);
     942             : PETSC_EXTERN PetscErrorCode MatRestrict(Mat, Vec, Vec);
     943             : PETSC_EXTERN PetscErrorCode MatMatInterpolate(Mat, Mat, Mat *);
     944             : PETSC_EXTERN PetscErrorCode MatMatInterpolateAdd(Mat, Mat, Mat, Mat *);
     945             : PETSC_EXTERN PetscErrorCode MatMatRestrict(Mat, Mat, Mat *);
     946             : PETSC_EXTERN PetscErrorCode MatCreateVecs(Mat, Vec *, Vec *);
     947             : PETSC_DEPRECATED_FUNCTION(3, 6, 0, "MatCreateVecs()", ) static inline PetscErrorCode MatGetVecs(Mat mat, Vec *x, Vec *y)
     948             : {
     949             :   return MatCreateVecs(mat, x, y);
     950             : }
     951             : PETSC_EXTERN PetscErrorCode MatCreateRedundantMatrix(Mat, PetscInt, MPI_Comm, MatReuse, Mat *);
     952             : PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat, MPI_Comm, MatReuse, Mat *);
     953             : PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat, IS *);
     954             : PETSC_EXTERN PetscErrorCode MatFindOffBlockDiagonalEntries(Mat, IS *);
     955             : PETSC_EXTERN PetscErrorCode MatCreateMPIMatConcatenateSeqMat(MPI_Comm, Mat, PetscInt, MatReuse, Mat *);
     956             : 
     957             : PETSC_EXTERN PetscErrorCode MatCopyHashToXAIJ(Mat A, Mat B);
     958             : /*@C
     959             :    MatSetValue - Set a single entry into a matrix.
     960             : 
     961             :    Not Collective
     962             : 
     963             :    Input Parameters:
     964             : +  mat  - the matrix
     965             : .  i    - the row location of the entry
     966             : .  j    - the column location of the entry
     967             : .  va   - the value to insert
     968             : -  mode - either `INSERT_VALUES` or `ADD_VALUES`
     969             : 
     970             :    Level: beginner
     971             : 
     972             :    Notes:
     973             :    This value may be cached, so `MatAssemblyBegin()` and `MatAssemblyEnd()`
     974             :    MUST be called after all calls to `MatSetValue()` have been completed.
     975             : 
     976             :    For efficiency one should use `MatSetValues()` and set several values simultaneously.
     977             : 
     978             : .seealso: [](ch_matrices), `Mat`, `MatAssemblyBegin()`, `MatAssemblyEnd()`, `InsertMode`, `MatGetValue()`, `MatSetValues()`,
     979             :           `MatSetValueLocal()`, `MatSetValuesLocal()`
     980             : @*/
     981     1437547 : static inline PetscErrorCode MatSetValue(Mat mat, PetscInt i, PetscInt j, PetscScalar va, InsertMode mode)
     982             : {
     983     1437547 :   return MatSetValues(mat, 1, &i, 1, &j, &va, mode);
     984             : }
     985             : 
     986             : /*@C
     987             :    MatGetValue - Gets a single value from a matrix
     988             : 
     989             :    Not Collective; can only return a value owned by the given process
     990             : 
     991             :    Input Parameters:
     992             : +  mat - the matrix
     993             : .  row - the row location of the entry
     994             : -  col - the column location of the entry
     995             : 
     996             :    Output Parameter:
     997             : .  va - the value
     998             : 
     999             :    Level: advanced
    1000             : 
    1001             :    Notes:
    1002             :    The matrix must have been assembled with `MatAssemblyBegin()` and `MatAssemblyEnd()` before this call
    1003             : 
    1004             :    For efficiency one should use `MatGetValues()` and get several values simultaneously.
    1005             : 
    1006             :    See notes for `MatGetValues()`.
    1007             : 
    1008             : .seealso: [](ch_matrices), `Mat`, `MatAssemblyBegin()`, `MatAssemblyEnd()`, `MatSetValue()`, `MatGetValueLocal()`, `MatGetValues()`
    1009             : @*/
    1010             : static inline PetscErrorCode MatGetValue(Mat mat, PetscInt row, PetscInt col, PetscScalar *va)
    1011             : {
    1012             :   return MatGetValues(mat, 1, &row, 1, &col, va);
    1013             : }
    1014             : 
    1015             : /*@C
    1016             :    MatSetValueLocal - Inserts or adds a single value into a matrix, using a local numbering of the nodes.
    1017             : 
    1018             :    Not Collective
    1019             : 
    1020             :    Input Parameters:
    1021             : +  mat  - the matrix
    1022             : .  i    - the row location of the entry
    1023             : .  j    - the column location of the entry
    1024             : .  va   - the value to insert
    1025             : -  mode - either `INSERT_VALUES` or `ADD_VALUES`
    1026             : 
    1027             :    Level: intermediate
    1028             : 
    1029             :    Notes:
    1030             :    For efficiency one should use `MatSetValuesLocal()` and set several values simultaneously.
    1031             : 
    1032             :    See notes for `MatSetValuesLocal()` for additional information on when and how this function can be used.
    1033             : 
    1034             : .seealso: [](ch_matrices), `MatSetValue()`, `MatSetValuesLocal()`
    1035             : @*/
    1036             : static inline PetscErrorCode MatSetValueLocal(Mat mat, PetscInt i, PetscInt j, PetscScalar va, InsertMode mode)
    1037             : {
    1038             :   return MatSetValuesLocal(mat, 1, &i, 1, &j, &va, mode);
    1039             : }
    1040             : 
    1041             : /*MC
    1042             :    MatPreallocateBegin - Begins the block of code that will count the number of nonzeros per
    1043             :    row in a matrix providing the data that one can use to correctly preallocate the matrix.
    1044             : 
    1045             :    Synopsis:
    1046             :    #include <petscmat.h>
    1047             :    PetscErrorCode MatPreallocateBegin(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
    1048             : 
    1049             :    Collective
    1050             : 
    1051             :    Input Parameters:
    1052             : +  comm  - the communicator that will share the eventually allocated matrix
    1053             : .  nrows - the number of LOCAL rows in the matrix
    1054             : -  ncols - the number of LOCAL columns in the matrix
    1055             : 
    1056             :    Output Parameters:
    1057             : +  dnz - the array that will be passed to the matrix preallocation routines
    1058             : -  onz - the other array passed to the matrix preallocation routines
    1059             : 
    1060             :    Level: deprecated (since v3.19)
    1061             : 
    1062             :    Notes:
    1063             :    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
    1064             :    the use of this routine
    1065             : 
    1066             :    This is a macro that handles its own error checking, it does not return an error code.
    1067             : 
    1068             :    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
    1069             : 
    1070             :    Developer Note:
    1071             :    This is a MACRO, not a function, because it has a leading { that is closed by `PetscPreallocateFinalize()`.
    1072             : 
    1073             : .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
    1074             :           `MatPreallocateSymmetricSetLocalBlock()`
    1075             : M*/
    1076             : #define MatPreallocateBegin(comm, nrows, ncols, dnz, onz) \
    1077             :   do { \
    1078             :     PetscInt              __nrows = (nrows), __ncols = (ncols), __rstart, __end = 0; \
    1079             :     PetscInt PETSC_UNUSED __start; \
    1080             :     PetscCall(PetscCalloc2(__nrows, &(dnz), __nrows, &(onz))); \
    1081             :     PetscCallMPI(MPI_Scan(&__ncols, &__end, 1, MPIU_INT, MPI_SUM, comm)); \
    1082             :     __start = __end - __ncols; \
    1083             :     (void)__start; \
    1084             :     PetscCallMPI(MPI_Scan(&__nrows, &__rstart, 1, MPIU_INT, MPI_SUM, comm)); \
    1085             :   __rstart -= __nrows
    1086             : 
    1087             : #define MatPreallocateInitialize(...) PETSC_DEPRECATED_MACRO(3, 18, 0, "MatPreallocateBegin()", ) MatPreallocateBegin(__VA_ARGS__)
    1088             : 
    1089             : /*MC
    1090             :    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
    1091             :    inserted using a local number of the rows and columns
    1092             : 
    1093             :    Synopsis:
    1094             :    #include <petscmat.h>
    1095             :    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
    1096             : 
    1097             :    Not Collective
    1098             : 
    1099             :    Input Parameters:
    1100             : +  map   - the row mapping from local numbering to global numbering
    1101             : .  nrows - the number of rows indicated
    1102             : .  rows  - the indices of the rows
    1103             : .  cmap  - the column mapping from local to global numbering
    1104             : .  ncols - the number of columns in the matrix
    1105             : .  cols  - the columns indicated
    1106             : .  dnz   - the array that will be passed to the matrix preallocation routines
    1107             : -  onz   - the other array passed to the matrix preallocation routines
    1108             : 
    1109             :    Level: deprecated (since v3.19)
    1110             : 
    1111             :    Notes:
    1112             :    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
    1113             :    the use of this routine
    1114             : 
    1115             :    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
    1116             : 
    1117             : .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
    1118             :           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocalRemoveDups()`
    1119             : M*/
    1120             : #define MatPreallocateSetLocal(rmap, nrows, rows, cmap, ncols, cols, dnz, onz) \
    1121             :   PetscMacroReturnStandard(PetscCall(ISLocalToGlobalMappingApply(rmap, nrows, rows, rows)); PetscCall(ISLocalToGlobalMappingApply(cmap, ncols, cols, cols)); for (PetscInt __l = 0; __l < nrows; __l++) PetscCall(MatPreallocateSet((rows)[__l], ncols, cols, dnz, onz));)
    1122             : 
    1123             : /*MC
    1124             :    MatPreallocateSetLocalRemoveDups - Indicates the locations (rows and columns) in the matrix where nonzeros will be
    1125             :    inserted using a local number of the rows and columns. This version removes any duplicate columns in cols
    1126             : 
    1127             :    Synopsis:
    1128             :    #include <petscmat.h>
    1129             :    PetscErrorCode MatPreallocateSetLocalRemoveDups(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
    1130             : 
    1131             :    Not Collective
    1132             : 
    1133             :    Input Parameters:
    1134             : +  map   - the row mapping from local numbering to global numbering
    1135             : .  nrows - the number of rows indicated
    1136             : .  rows  - the indices of the rows (these values are mapped to the global values)
    1137             : .  cmap  - the column mapping from local to global numbering
    1138             : .  ncols - the number of columns in the matrix   (this value will be changed if duplicate columns are found)
    1139             : .  cols  - the columns indicated (these values are mapped to the global values, they are then sorted and duplicates removed)
    1140             : .  dnz   - the array that will be passed to the matrix preallocation routines
    1141             : -  onz   - the other array passed to the matrix preallocation routines
    1142             : 
    1143             :    Level: deprecated (since v3.19)
    1144             : 
    1145             :    Notes:
    1146             :    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
    1147             :    the use of this routine
    1148             : 
    1149             :    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
    1150             : 
    1151             : .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
    1152             :           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocal()`
    1153             : M*/
    1154             : #define MatPreallocateSetLocalRemoveDups(rmap, nrows, rows, cmap, ncols, cols, dnz, onz) \
    1155             :   PetscMacroReturnStandard(PetscCall(ISLocalToGlobalMappingApply(rmap, nrows, rows, rows)); PetscCall(ISLocalToGlobalMappingApply(cmap, ncols, cols, cols)); PetscCall(PetscSortRemoveDupsInt(&ncols, cols)); for (PetscInt __l = 0; __l < nrows; __l++) PetscCall(MatPreallocateSet((rows)[__l], ncols, cols, dnz, onz));)
    1156             : 
    1157             : /*MC
    1158             :    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
    1159             :    inserted using a local number of the rows and columns
    1160             : 
    1161             :    Synopsis:
    1162             :    #include <petscmat.h>
    1163             :    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
    1164             : 
    1165             :    Not Collective
    1166             : 
    1167             :    Input Parameters:
    1168             : +  map   - the row mapping from local numbering to global numbering
    1169             : .  nrows - the number of rows indicated
    1170             : .  rows  - the indices of the rows
    1171             : .  cmap  - the column mapping from local to global numbering
    1172             : .  ncols - the number of columns in the matrix
    1173             : .  cols  - the columns indicated
    1174             : .  dnz   - the array that will be passed to the matrix preallocation routines
    1175             : -  onz   - the other array passed to the matrix preallocation routines
    1176             : 
    1177             :    Level: deprecated (since v3.19)
    1178             : 
    1179             :    Notes:
    1180             :    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
    1181             :    the use of this routine
    1182             : 
    1183             :    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
    1184             : 
    1185             : .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
    1186             :           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`
    1187             : M*/
    1188             : #define MatPreallocateSetLocalBlock(rmap, nrows, rows, cmap, ncols, cols, dnz, onz) \
    1189             :   PetscMacroReturnStandard(PetscCall(ISLocalToGlobalMappingApplyBlock(rmap, nrows, rows, rows)); PetscCall(ISLocalToGlobalMappingApplyBlock(cmap, ncols, cols, cols)); for (PetscInt __l = 0; __l < nrows; __l++) PetscCall(MatPreallocateSet((rows)[__l], ncols, cols, dnz, onz));)
    1190             : 
    1191             : /*MC
    1192             :    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
    1193             :    inserted using a local number of the rows and columns
    1194             : 
    1195             :    Synopsis:
    1196             :    #include <petscmat.h>
    1197             :    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
    1198             : 
    1199             :    Not Collective
    1200             : 
    1201             :    Input Parameters:
    1202             : +  map   - the mapping between local numbering and global numbering
    1203             : .  nrows - the number of rows indicated
    1204             : .  rows  - the indices of the rows
    1205             : .  ncols - the number of columns in the matrix
    1206             : .  cols  - the columns indicated
    1207             : .  dnz   - the array that will be passed to the matrix preallocation routines
    1208             : -  onz   - the other array passed to the matrix preallocation routines
    1209             : 
    1210             :    Level: deprecated (since v3.19)
    1211             : 
    1212             :    Notes:
    1213             :    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
    1214             :    the use of this routine
    1215             : 
    1216             :    Do not malloc or free `dnz` and `onz` that is handled internally by these routines
    1217             : 
    1218             : .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`
    1219             :           `MatPreallocateBegin()`, `MatPreallocateSetLocal()`
    1220             : M*/
    1221             : #define MatPreallocateSymmetricSetLocalBlock(map, nrows, rows, ncols, cols, dnz, onz) \
    1222             :   PetscMacroReturnStandard(PetscCall(ISLocalToGlobalMappingApplyBlock(map, nrows, rows, rows)); PetscCall(ISLocalToGlobalMappingApplyBlock(map, ncols, cols, cols)); for (PetscInt __l = 0; __l < nrows; __l++) PetscCall(MatPreallocateSymmetricSetBlock((rows)[__l], ncols, cols, dnz, onz));)
    1223             : 
    1224             : /*MC
    1225             :    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
    1226             :    inserted using a local number of the rows and columns
    1227             : 
    1228             :    Synopsis:
    1229             :    #include <petscmat.h>
    1230             :    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
    1231             : 
    1232             :    Not Collective
    1233             : 
    1234             :    Input Parameters:
    1235             : +  row   - the row
    1236             : .  ncols - the number of columns in the matrix
    1237             : -  cols  - the columns indicated
    1238             : 
    1239             :    Output Parameters:
    1240             : +  dnz - the array that will be passed to the matrix preallocation routines
    1241             : -  onz - the other array passed to the matrix preallocation routines
    1242             : 
    1243             :    Level: deprecated (since v3.19)
    1244             : 
    1245             :    Notes:
    1246             :    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
    1247             :    the use of this routine
    1248             : 
    1249             :    Do not malloc or free `dnz` and `onz` that is handled internally by these routines
    1250             : 
    1251             :    This is a MACRO, not a function, because it uses variables declared in MatPreallocateBegin().
    1252             : 
    1253             : .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
    1254             :           `MatPreallocateBegin()`, `MatPreallocateSetLocal()`
    1255             : M*/
    1256             : #define MatPreallocateSet(row, nc, cols, dnz, onz) \
    1257             :   PetscMacroReturnStandard(PetscCheck(row >= __rstart, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Trying to set preallocation for row %" PetscInt_FMT " less than first local row %" PetscInt_FMT, row, __rstart); PetscCheck(row < __rstart + __nrows, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Trying to set preallocation for row %" PetscInt_FMT " greater than last local row %" PetscInt_FMT, row, __rstart + __nrows - 1); for (PetscInt __i = 0; __i < nc; ++__i) { \
    1258             :     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
    1259             :     else if (dnz[row - __rstart] < __ncols) dnz[row - __rstart]++; \
    1260             :   })
    1261             : 
    1262             : /*MC
    1263             :    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
    1264             :    inserted using a local number of the rows and columns
    1265             : 
    1266             :    Synopsis:
    1267             :    #include <petscmat.h>
    1268             :    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
    1269             : 
    1270             :    Not Collective
    1271             : 
    1272             :    Input Parameters:
    1273             : +  nrows - the number of rows indicated
    1274             : .  rows  - the indices of the rows
    1275             : .  ncols - the number of columns in the matrix
    1276             : .  cols  - the columns indicated
    1277             : .  dnz   - the array that will be passed to the matrix preallocation routines
    1278             : -  onz   - the other array passed to the matrix preallocation routines
    1279             : 
    1280             :    Level: deprecated (since v3.19)
    1281             : 
    1282             :    Notes:
    1283             :    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
    1284             :    the use of this routine
    1285             : 
    1286             :    Do not malloc or free `dnz` and `onz` that is handled internally by these routines
    1287             : 
    1288             :    This is a MACRO, not a function, because it uses variables declared in MatPreallocateBegin().
    1289             : 
    1290             : .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateBegin()`,
    1291             :           `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocal()`
    1292             : M*/
    1293             : #define MatPreallocateSymmetricSetBlock(row, nc, cols, dnz, onz) \
    1294             :   PetscMacroReturnStandard(for (PetscInt __i = 0; __i < nc; __i++) { \
    1295             :     if (cols[__i] >= __end) onz[row - __rstart]++; \
    1296             :     else if (cols[__i] >= row && dnz[row - __rstart] < __ncols) dnz[row - __rstart]++; \
    1297             :   })
    1298             : 
    1299             : /*MC
    1300             :    MatPreallocateLocation -  An alternative to MatPreallocateSet() that puts the nonzero locations into the matrix if it exists
    1301             : 
    1302             :    Synopsis:
    1303             :    #include <petscmat.h>
    1304             :    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
    1305             : 
    1306             :    Not Collective
    1307             : 
    1308             :    Input Parameters:
    1309             : +  A     - matrix
    1310             : .  row   - row where values exist (must be local to this process)
    1311             : .  ncols - number of columns
    1312             : .  cols  - columns with nonzeros
    1313             : .  dnz   - the array that will be passed to the matrix preallocation routines
    1314             : -  onz   - the other array passed to the matrix preallocation routines
    1315             : 
    1316             :    Level: deprecated (since v3.19)
    1317             : 
    1318             :    Notes:
    1319             :    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
    1320             :    the use of this routine
    1321             : 
    1322             :    Do not malloc or free `dnz` and `onz` that is handled internally by these routines
    1323             : 
    1324             :    Developer Note:
    1325             :    This is a MACRO, not a function, because it uses a bunch of variables private to the MatPreallocation.... routines.
    1326             : 
    1327             : .seealso: [](ch_matrices), `MatPreallocateBegin()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
    1328             :           `MatPreallocateSymmetricSetLocalBlock()`
    1329             : M*/
    1330             : #define MatPreallocateLocation(A, row, ncols, cols, dnz, onz) (A ? MatSetValues(A, 1, &row, ncols, cols, NULL, INSERT_VALUES) : MatPreallocateSet(row, ncols, cols, dnz, onz))
    1331             : 
    1332             : /*MC
    1333             :    MatPreallocateEnd - Ends the block of code that will count the number of nonzeros per
    1334             :    row in a matrix providing the data that one can use to correctly preallocate the matrix.
    1335             : 
    1336             :    Synopsis:
    1337             :    #include <petscmat.h>
    1338             :    PetscErrorCode MatPreallocateEnd(PetscInt *dnz, PetscInt *onz)
    1339             : 
    1340             :    Collective
    1341             : 
    1342             :    Input Parameters:
    1343             : +  dnz - the array that was be passed to the matrix preallocation routines
    1344             : -  onz - the other array passed to the matrix preallocation routines
    1345             : 
    1346             :    Level: deprecated (since v3.19)
    1347             : 
    1348             :    Notes:
    1349             :    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
    1350             :    the use of this routine
    1351             : 
    1352             :    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
    1353             : 
    1354             :    Developer Note:
    1355             :    This is a MACRO, not a function, because it closes the { started in MatPreallocateBegin().
    1356             : 
    1357             : .seealso: [](ch_matrices), `MatPreallocateBegin()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
    1358             :           `MatPreallocateSymmetricSetLocalBlock()`
    1359             : M*/
    1360             : #define MatPreallocateEnd(dnz, onz) \
    1361             :   PetscCall(PetscFree2(dnz, onz)); \
    1362             :   } \
    1363             :   while (0)
    1364             : 
    1365             : #define MatPreallocateFinalize(...) PETSC_DEPRECATED_MACRO(3, 18, 0, "MatPreallocateEnd()", ) MatPreallocateEnd(__VA_ARGS__)
    1366             : 
    1367             : /* Routines unique to particular data structures */
    1368             : PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat, void *);
    1369             : 
    1370             : PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat, IS *, IS *);
    1371             : PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat, PetscInt *, PetscInt *[], PetscInt *);
    1372             : 
    1373             : PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat, PetscInt[]);
    1374             : PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat, PetscInt[]);
    1375             : PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *);
    1376             : PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *);
    1377             : PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *);
    1378             : PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *, PetscInt, PetscBool);
    1379             : 
    1380             : #define MAT_SKIP_ALLOCATION -4
    1381             : 
    1382             : PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[]);
    1383             : PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[]);
    1384             : PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat, PetscInt, const PetscInt[]);
    1385             : PETSC_EXTERN PetscErrorCode MatSeqAIJSetTotalPreallocation(Mat, PetscInt);
    1386             : 
    1387             : PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
    1388             : PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
    1389             : PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
    1390             : PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat, const PetscInt[], const PetscInt[], const PetscScalar[]);
    1391             : PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
    1392             : PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat, const PetscInt[], const PetscInt[], const PetscScalar[]);
    1393             : PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
    1394             : PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat, PetscInt[], PetscInt[], PetscInt[]);
    1395             : PETSC_EXTERN PetscErrorCode MatMPIAdjToSeq(Mat, Mat *);
    1396             : PETSC_EXTERN PetscErrorCode MatMPIAdjToSeqRankZero(Mat, Mat *);
    1397             : PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat, PetscScalar[]);
    1398             : PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat, PetscScalar[]);
    1399             : PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat, Mat *, Mat *, const PetscInt *[]);
    1400             : PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat, Mat *, Mat *, const PetscInt *[]);
    1401             : PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat, Mat *);
    1402             : 
    1403             : PETSC_EXTERN PetscErrorCode MatDenseGetLDA(Mat, PetscInt *);
    1404             : PETSC_EXTERN PetscErrorCode MatDenseSetLDA(Mat, PetscInt);
    1405             : PETSC_DEPRECATED_FUNCTION(3, 14, 0, "MatDenseSetLDA()", ) static inline PetscErrorCode MatSeqDenseSetLDA(Mat A, PetscInt lda)
    1406             : {
    1407             :   return MatDenseSetLDA(A, lda);
    1408             : }
    1409             : PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat, Mat *);
    1410             : 
    1411             : PETSC_EXTERN PetscErrorCode MatBlockMatSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[]);
    1412             : 
    1413             : PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
    1414             : PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
    1415             : 
    1416             : PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat, IS *);
    1417             : PETSC_EXTERN PetscErrorCode MatFindZeroRows(Mat, IS *);
    1418             : /*
    1419             :   These routines are not usually accessed directly, rather solving is
    1420             :   done through the KSP and PC interfaces.
    1421             : */
    1422             : 
    1423             : /*J
    1424             :    MatOrderingType - String with the name of a PETSc matrix ordering. These orderings are most commonly used
    1425             :    to reduce fill in sparse factorizations.
    1426             : 
    1427             :    Level: beginner
    1428             : 
    1429             :    Notes:
    1430             :    If `MATORDERINGEXTERNAL` is used then PETSc does not compute an ordering and instead the external factorization solver package called utilizes one
    1431             :    of its own.
    1432             : 
    1433             :    There is no `MatOrdering` object, the ordering is obtained directly from the matrix with `MatGetOrdering()`
    1434             : 
    1435             :    Developer Note:
    1436             :    This API should be converted to an API similar to those for `MatColoring` and `MatPartitioning`
    1437             : 
    1438             : .seealso: [](ch_matrices), [](sec_graph), `MatGetFactor()`, `MatGetOrdering()`, `MatColoringType`, `MatPartitioningType`, `MatCoarsenType`, `MatCoarsenType`,
    1439             :           `PCFactorSetOrderingType()`
    1440             : J*/
    1441             : typedef const char *MatOrderingType;
    1442             : #define MATORDERINGNATURAL       "natural"
    1443             : #define MATORDERINGND            "nd"
    1444             : #define MATORDERING1WD           "1wd"
    1445             : #define MATORDERINGRCM           "rcm"
    1446             : #define MATORDERINGQMD           "qmd"
    1447             : #define MATORDERINGROWLENGTH     "rowlength"
    1448             : #define MATORDERINGWBM           "wbm"
    1449             : #define MATORDERINGSPECTRAL      "spectral"
    1450             : #define MATORDERINGAMD           "amd"           /* only works if UMFPACK is installed with PETSc */
    1451             : #define MATORDERINGMETISND       "metisnd"       /* only works if METIS is installed with PETSc */
    1452             : #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 */
    1453             : #define MATORDERINGEXTERNAL      "external"      /* uses an ordering type internal to the factorization package */
    1454             : 
    1455             : PETSC_EXTERN PetscErrorCode    MatGetOrdering(Mat, MatOrderingType, IS *, IS *);
    1456             : PETSC_EXTERN PetscErrorCode    MatGetOrderingList(PetscFunctionList *);
    1457             : PETSC_EXTERN PetscErrorCode    MatOrderingRegister(const char[], PetscErrorCode (*)(Mat, MatOrderingType, IS *, IS *));
    1458             : PETSC_EXTERN PetscFunctionList MatOrderingList;
    1459             : 
    1460             : #include "petscmatcoarsen.h"
    1461             : 
    1462             : PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat, PetscReal, IS, IS);
    1463             : PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat, PetscReal, PetscBool, Mat *);
    1464             : 
    1465             : PETSC_EXTERN PetscErrorCode MatFactorGetPreferredOrdering(Mat, MatFactorType, MatOrderingType *);
    1466             : 
    1467             : /*S
    1468             :    MatFactorShiftType - Type of numeric shift used for factorizations
    1469             : 
    1470             :    Values:
    1471             : +  `MAT_SHIFT_NONE`              - do not shift the matrix diagonal entries
    1472             : .  `MAT_SHIFT_NONZERO`           - shift the entries to be non-zero
    1473             : .  `MAT_SHIFT_POSITIVE_DEFINITE` - shift the entries to force the factorization to be positive definite
    1474             : -  `MAT_SHIFT_INBLOCKS`          - only shift the factors inside the small dense diagonal blocks of the matrix, for example with `MATBAIJ`
    1475             : 
    1476             :    Level: intermediate
    1477             : 
    1478             : .seealso: [](ch_matrices), `Mat`, `MatGetFactor()`, `PCFactorSetShiftType()`
    1479             : S*/
    1480             : typedef enum {
    1481             :   MAT_SHIFT_NONE,
    1482             :   MAT_SHIFT_NONZERO,
    1483             :   MAT_SHIFT_POSITIVE_DEFINITE,
    1484             :   MAT_SHIFT_INBLOCKS
    1485             : } MatFactorShiftType;
    1486             : PETSC_EXTERN const char *const MatFactorShiftTypes[];
    1487             : PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];
    1488             : 
    1489             : /*S
    1490             :     MatFactorError - indicates what type of error was generated in a matrix factorization
    1491             : 
    1492             :     Values:
    1493             : +   `MAT_FACTOR_NOERROR`           - there was no error during the factorization
    1494             : .   `MAT_FACTOR_STRUCT_ZEROPIVOT`  - there was a missing entry in a diagonal location of the matrix
    1495             : .   `MAT_FACTOR_NUMERIC_ZEROPIVOT` - there was a (near) zero pivot during the factorization
    1496             : .   `MAT_FACTOR_OUTMEMORY`         - the factorization has run out of memory
    1497             : -   `MAT_FACTOR_OTHER`             - some other error has occurred.
    1498             : 
    1499             :     Level: intermediate
    1500             : 
    1501             :     Note:
    1502             :     When a factorization is done in a preconditioner `PC` the error may be propagated up to a `PCFailedReason` or a `KSPConvergedReason`
    1503             : 
    1504             : .seealso: [](ch_matrices), `Mat`, `MatGetFactor()`, `MatFactorGetError()`, `MatFactorGetErrorZeroPivot()`, `MatFactorClearError()`,
    1505             :           `PCFailedReason`, `PCGetFailedReason()`, `KSPConvergedReason`
    1506             : S*/
    1507             : typedef enum {
    1508             :   MAT_FACTOR_NOERROR,
    1509             :   MAT_FACTOR_STRUCT_ZEROPIVOT,
    1510             :   MAT_FACTOR_NUMERIC_ZEROPIVOT,
    1511             :   MAT_FACTOR_OUTMEMORY,
    1512             :   MAT_FACTOR_OTHER
    1513             : } MatFactorError;
    1514             : 
    1515             : PETSC_EXTERN PetscErrorCode MatFactorGetError(Mat, MatFactorError *);
    1516             : PETSC_EXTERN PetscErrorCode MatFactorClearError(Mat);
    1517             : PETSC_EXTERN PetscErrorCode MatFactorGetErrorZeroPivot(Mat, PetscReal *, PetscInt *);
    1518             : 
    1519             : /*S
    1520             :    MatFactorInfo - Data passed into the matrix factorization routines, and information about the resulting factorization
    1521             : 
    1522             :    Level: developer
    1523             : 
    1524             :    Note:
    1525             :    You can use `MatFactorInfoInitialize()` to set default values.
    1526             : 
    1527             :    Fortran Note:
    1528             :    The data is available in a double precision arrays of size `MAT_FACTORINFO_SIZE`
    1529             : 
    1530             : .seealso: [](ch_matrices), `Mat`, `MatInfo`, `MatGetFactor()`, `MatLUFactorSymbolic()`, `MatILUFactorSymbolic()`, `MatCholeskyFactorSymbolic()`,
    1531             :           `MatICCFactorSymbolic()`, `MatICCFactor()`, `MatFactorInfoInitialize()`
    1532             : S*/
    1533             : typedef struct {
    1534             :   PetscReal diagonal_fill; /* force diagonal to fill in if initially not filled */
    1535             :   PetscReal usedt;
    1536             :   PetscReal dt;            /* drop tolerance */
    1537             :   PetscReal dtcol;         /* tolerance for pivoting */
    1538             :   PetscReal dtcount;       /* maximum nonzeros to be allowed per row */
    1539             :   PetscReal fill;          /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
    1540             :   PetscReal levels;        /* ICC/ILU(levels) */
    1541             :   PetscReal pivotinblocks; /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
    1542             :                                    factorization may be faster if do not pivot */
    1543             :   PetscReal zeropivot;     /* pivot is called zero if less than this */
    1544             :   PetscReal shifttype;     /* type of shift added to matrix factor to prevent zero pivots */
    1545             :   PetscReal shiftamount;   /* how large the shift is */
    1546             : } MatFactorInfo;
    1547             : 
    1548             : PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo *);
    1549             : PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat, IS, const MatFactorInfo *);
    1550             : PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat, Mat, IS, const MatFactorInfo *);
    1551             : PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat, Mat, const MatFactorInfo *);
    1552             : PETSC_EXTERN PetscErrorCode MatLUFactor(Mat, IS, IS, const MatFactorInfo *);
    1553             : PETSC_EXTERN PetscErrorCode MatILUFactor(Mat, IS, IS, const MatFactorInfo *);
    1554             : PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat, Mat, IS, IS, const MatFactorInfo *);
    1555             : PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat, Mat, IS, IS, const MatFactorInfo *);
    1556             : PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat, Mat, IS, const MatFactorInfo *);
    1557             : PETSC_EXTERN PetscErrorCode MatICCFactor(Mat, IS, const MatFactorInfo *);
    1558             : PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat, Mat, const MatFactorInfo *);
    1559             : PETSC_EXTERN PetscErrorCode MatQRFactor(Mat, IS, const MatFactorInfo *);
    1560             : PETSC_EXTERN PetscErrorCode MatQRFactorSymbolic(Mat, Mat, IS, const MatFactorInfo *);
    1561             : PETSC_EXTERN PetscErrorCode MatQRFactorNumeric(Mat, Mat, const MatFactorInfo *);
    1562             : PETSC_EXTERN PetscErrorCode MatGetInertia(Mat, PetscInt *, PetscInt *, PetscInt *);
    1563             : PETSC_EXTERN PetscErrorCode MatSolve(Mat, Vec, Vec);
    1564             : PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat, Vec, Vec);
    1565             : PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat, Vec, Vec);
    1566             : PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat, Vec, Vec, Vec);
    1567             : PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat, Vec, Vec);
    1568             : PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat, Vec, Vec, Vec);
    1569             : PETSC_EXTERN PetscErrorCode MatSolves(Mat, Vecs, Vecs);
    1570             : PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
    1571             : 
    1572             : typedef enum {
    1573             :   MAT_FACTOR_SCHUR_UNFACTORED,
    1574             :   MAT_FACTOR_SCHUR_FACTORED,
    1575             :   MAT_FACTOR_SCHUR_INVERTED
    1576             : } MatFactorSchurStatus;
    1577             : PETSC_EXTERN PetscErrorCode MatFactorSetSchurIS(Mat, IS);
    1578             : PETSC_EXTERN PetscErrorCode MatFactorGetSchurComplement(Mat, Mat *, MatFactorSchurStatus *);
    1579             : PETSC_EXTERN PetscErrorCode MatFactorRestoreSchurComplement(Mat, Mat *, MatFactorSchurStatus);
    1580             : PETSC_EXTERN PetscErrorCode MatFactorInvertSchurComplement(Mat);
    1581             : PETSC_EXTERN PetscErrorCode MatFactorCreateSchurComplement(Mat, Mat *, MatFactorSchurStatus *);
    1582             : PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplement(Mat, Vec, Vec);
    1583             : PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplementTranspose(Mat, Vec, Vec);
    1584             : PETSC_EXTERN PetscErrorCode MatFactorFactorizeSchurComplement(Mat);
    1585             : 
    1586             : PETSC_EXTERN PetscErrorCode MatSeqDenseInvert(Mat);
    1587             : /*E
    1588             :    MatSORType - What type of (S)SOR to perform
    1589             : 
    1590             :    Values:
    1591             : +  `SOR_FORWARD_SWEEP`         - do a sweep from the first row of the matrix to the last
    1592             : .  `SOR_BACKWARD_SWEEP`        - do a sweep from the last row to the first
    1593             : .  `SOR_SYMMETRIC_SWEEP`       - do a sweep from the first row to the last and then back to the first
    1594             : .  `SOR_LOCAL_FORWARD_SWEEP`   - each MPI process does its own forward sweep with no communication
    1595             : .  `SOR_LOCAL_BACKWARD_SWEEP`  - each MPI process does its own backward sweep with no communication
    1596             : .  `SOR_LOCAL_SYMMETRIC_SWEEP` - each MPI process does its own symmetric sweep with no communication
    1597             : .  `SOR_ZERO_INITIAL_GUESS`    - indicates the initial solution is zero so the sweep can avoid unneeded computation
    1598             : .  `SOR_EISENSTAT`             - apply the Eisentat application of SOR, see `PCEISENSTAT`
    1599             : .  `SOR_APPLY_UPPER`           - multiply by the upper triangular portion of the matrix
    1600             : -  `SOR_APPLY_LOWER`           - multiply by the lower triangular portion of the matrix
    1601             : 
    1602             :    Level: beginner
    1603             : 
    1604             :    Note:
    1605             :    These may be bitwise ORd together
    1606             : 
    1607             :    Developer Note:
    1608             :    Since `MatSORType` may be bitwise ORd together, so do not change the numerical values below
    1609             : 
    1610             : .seealso: [](ch_matrices), `MatSOR()`
    1611             : E*/
    1612             : typedef enum {
    1613             :   SOR_FORWARD_SWEEP         = 1,
    1614             :   SOR_BACKWARD_SWEEP        = 2,
    1615             :   SOR_SYMMETRIC_SWEEP       = 3,
    1616             :   SOR_LOCAL_FORWARD_SWEEP   = 4,
    1617             :   SOR_LOCAL_BACKWARD_SWEEP  = 8,
    1618             :   SOR_LOCAL_SYMMETRIC_SWEEP = 12,
    1619             :   SOR_ZERO_INITIAL_GUESS    = 16,
    1620             :   SOR_EISENSTAT             = 32,
    1621             :   SOR_APPLY_UPPER           = 64,
    1622             :   SOR_APPLY_LOWER           = 128
    1623             : } MatSORType;
    1624             : PETSC_EXTERN PetscErrorCode MatSOR(Mat, Vec, PetscReal, MatSORType, PetscReal, PetscInt, PetscInt, Vec);
    1625             : 
    1626             : /*S
    1627             :    MatColoring - Object for managing the coloring of matrices.
    1628             : 
    1629             :    Level: beginner
    1630             : 
    1631             :    Notes:
    1632             :    Coloring of matrices can be computed directly from the sparse matrix nonzero structure via the `MatColoring` object or from the mesh from which the
    1633             :    matrix comes from via `DMCreateColoring()`. In general using the mesh produces a more optimal coloring (fewer colors).
    1634             : 
    1635             :    Once a coloring is available `MatFDColoringCreate()` creates an object that can be used to efficiently compute Jacobians using that coloring. This
    1636             :    same object can also be used to efficiently convert data created by Automatic Differentiation tools to PETSc sparse matrices.
    1637             : 
    1638             : .seealso: [](ch_matrices), [](sec_graph), `MatFDColoringCreate()`, `MatColoringWeightType`, `ISColoring`, `MatFDColoring`, `DMCreateColoring()`, `MatColoringCreate()`,
    1639             :           `MatPartitioning`, `MatColoringType`, `MatPartitioningType`, `MatOrderingType`, `MatColoringSetWeightType()`,
    1640             :           `MatColoringSetWeights()`, `MatCoarsenType`, `MatCoarsen`
    1641             : S*/
    1642             : typedef struct _p_MatColoring *MatColoring;
    1643             : 
    1644             : /*J
    1645             :    MatColoringType - String with the name of a PETSc matrix coloring
    1646             : 
    1647             :    Level: beginner
    1648             : 
    1649             : .seealso: [](ch_matrices), [](sec_graph), `Mat`, `MatFDColoringCreate()`, `MatColoringSetType()`, `MatColoring`
    1650             : J*/
    1651             : typedef const char *MatColoringType;
    1652             : #define MATCOLORINGJP      "jp"
    1653             : #define MATCOLORINGPOWER   "power"
    1654             : #define MATCOLORINGNATURAL "natural"
    1655             : #define MATCOLORINGSL      "sl"
    1656             : #define MATCOLORINGLF      "lf"
    1657             : #define MATCOLORINGID      "id"
    1658             : #define MATCOLORINGGREEDY  "greedy"
    1659             : 
    1660             : /*E
    1661             :    MatColoringWeightType - Type of weight scheme used for the coloring algorithm
    1662             : 
    1663             :    Values:
    1664             : +  `MAT_COLORING_RANDOM`  - Random weights
    1665             : .  `MAT_COLORING_LEXICAL` - Lexical weighting based upon global numbering.
    1666             : -  `MAT_COLORING_LF`      - Last-first weighting.
    1667             : 
    1668             :     Level: intermediate
    1669             : 
    1670             : .seealso: [](ch_matrices), `MatColoring`, `MatColoringCreate()`, `MatColoringSetWeightType()`, `MatColoringSetWeights()`
    1671             : E*/
    1672             : typedef enum {
    1673             :   MAT_COLORING_WEIGHT_RANDOM,
    1674             :   MAT_COLORING_WEIGHT_LEXICAL,
    1675             :   MAT_COLORING_WEIGHT_LF,
    1676             :   MAT_COLORING_WEIGHT_SL
    1677             : } MatColoringWeightType;
    1678             : 
    1679             : PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat, MatColoring *);
    1680             : PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat, PetscInt, PetscInt *);
    1681             : PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring *);
    1682             : PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring, PetscViewer);
    1683             : PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring, MatColoringType);
    1684             : PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
    1685             : PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring, PetscInt);
    1686             : PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring, PetscInt *);
    1687             : PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring, PetscInt);
    1688             : PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring, PetscInt *);
    1689             : PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring, ISColoring *);
    1690             : PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[], PetscErrorCode (*)(MatColoring));
    1691             : PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat, PetscInt, PetscInt, ISColoringValue[], ISColoring *);
    1692             : PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring, MatColoringWeightType);
    1693             : PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring, PetscReal *, PetscInt *);
    1694             : PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring, PetscReal **, PetscInt **lperm);
    1695             : PETSC_EXTERN PetscErrorCode MatColoringTest(MatColoring, ISColoring);
    1696             : PETSC_DEPRECATED_FUNCTION(3, 10, 0, "MatColoringTest()", ) static inline PetscErrorCode MatColoringTestValid(MatColoring matcoloring, ISColoring iscoloring)
    1697             : {
    1698             :   return MatColoringTest(matcoloring, iscoloring);
    1699             : }
    1700             : PETSC_EXTERN PetscErrorCode MatISColoringTest(Mat, ISColoring);
    1701             : 
    1702             : /*S
    1703             :    MatFDColoring - Object for computing a sparse Jacobian via finite differences with coloring
    1704             : 
    1705             :    Level: beginner
    1706             : 
    1707             :    Notes:
    1708             :    This object is creating utilizing a coloring provided by the `MatColoring` object or `DMCreateColoring()`
    1709             : 
    1710             :    The `SNES` option `-snes_fd_coloring` will cause the Jacobian needed by `SNES` to be computed via a use of this object
    1711             : 
    1712             : .seealso: [](ch_matrices), `Mat`, `MatFDColoringCreate()`, `MatFDColoringSetFunction()`, `MatColoring`, `DMCreateColoring()`
    1713             : S*/
    1714             : typedef struct _p_MatFDColoring *MatFDColoring;
    1715             : 
    1716             : PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat, ISColoring, MatFDColoring *);
    1717             : PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring *);
    1718             : PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring, PetscViewer);
    1719             : PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring, PetscErrorCode (*)(void), void *);
    1720             : PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring, PetscErrorCode (**)(void), void **);
    1721             : PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring, PetscReal, PetscReal);
    1722             : PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
    1723             : PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat, MatFDColoring, Vec, void *);
    1724             : PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring, Vec);
    1725             : PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring, PetscInt *, const PetscInt *[]);
    1726             : PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat, ISColoring, MatFDColoring);
    1727             : PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring, PetscInt, PetscInt);
    1728             : PETSC_EXTERN PetscErrorCode MatFDColoringSetValues(Mat, MatFDColoring, const PetscScalar *);
    1729             : 
    1730             : /*S
    1731             :    MatTransposeColoring - Object for computing a sparse matrix product $C = A*B^T$ via coloring
    1732             : 
    1733             :    Level: developer
    1734             : 
    1735             : .seealso: [](ch_matrices), `Mat`, `MatProductType`, `MatTransposeColoringCreate()`
    1736             : S*/
    1737             : typedef struct _p_MatTransposeColoring *MatTransposeColoring;
    1738             : 
    1739             : PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat, ISColoring, MatTransposeColoring *);
    1740             : PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring, Mat, Mat);
    1741             : PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring, Mat, Mat);
    1742             : PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring *);
    1743             : 
    1744             : /*S
    1745             :    MatPartitioning - Object for managing the partitioning of a matrix or graph
    1746             : 
    1747             :    Level: beginner
    1748             : 
    1749             :    Note:
    1750             :    There is also a `PetscPartitioner` object that provides the same functionality. It can utilize the `MatPartitioning` operations
    1751             :    via `PetscPartitionerSetType`(p,`PETSCPARTITIONERMATPARTITIONING`)
    1752             : 
    1753             :    Developer Note:
    1754             :    It is an extra maintenance and documentation cost to have two objects with the same functionality. `PetscPartitioner` should be removed
    1755             : 
    1756             : .seealso: [](ch_matrices), [](sec_graph), `Mat`, `MatPartitioningCreate()`, `MatPartitioningType`, `MatColoring`, `MatGetOrdering()`, `MatOrderingType`,
    1757             :           `MatCoarsenType`, `MatCoarsenType`
    1758             : S*/
    1759             : typedef struct _p_MatPartitioning *MatPartitioning;
    1760             : 
    1761             : /*J
    1762             :     MatPartitioningType - String with the name of a PETSc matrix partitioning
    1763             : 
    1764             :    Level: beginner
    1765             : dm
    1766             : .seealso: [](ch_matrices), [](sec_graph), `Mat`, `MatPartitioningCreate()`, `MatPartitioning`, `MatPartitioningSetType()`, `MatColoringType`, `MatOrderingType`,
    1767             :           `MatCoarsenType`, `MatCoarsenType`
    1768             : J*/
    1769             : typedef const char *MatPartitioningType;
    1770             : #define MATPARTITIONINGCURRENT  "current"
    1771             : #define MATPARTITIONINGAVERAGE  "average"
    1772             : #define MATPARTITIONINGSQUARE   "square"
    1773             : #define MATPARTITIONINGPARMETIS "parmetis"
    1774             : #define MATPARTITIONINGCHACO    "chaco"
    1775             : #define MATPARTITIONINGPARTY    "party"
    1776             : #define MATPARTITIONINGPTSCOTCH "ptscotch"
    1777             : #define MATPARTITIONINGHIERARCH "hierarch"
    1778             : 
    1779             : PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm, MatPartitioning *);
    1780             : PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning, MatPartitioningType);
    1781             : PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning, PetscInt);
    1782             : PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning, Mat);
    1783             : PETSC_EXTERN PetscErrorCode MatPartitioningSetNumberVertexWeights(MatPartitioning, PetscInt);
    1784             : PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning, const PetscInt[]);
    1785             : PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning, const PetscReal[]);
    1786             : PETSC_EXTERN PetscErrorCode MatPartitioningSetUseEdgeWeights(MatPartitioning, PetscBool);
    1787             : PETSC_EXTERN PetscErrorCode MatPartitioningGetUseEdgeWeights(MatPartitioning, PetscBool *);
    1788             : PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning, IS *);
    1789             : PETSC_EXTERN PetscErrorCode MatPartitioningImprove(MatPartitioning, IS *);
    1790             : PETSC_EXTERN PetscErrorCode MatPartitioningViewImbalance(MatPartitioning, IS);
    1791             : PETSC_EXTERN PetscErrorCode MatPartitioningApplyND(MatPartitioning, IS *);
    1792             : PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning *);
    1793             : PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[], PetscErrorCode (*)(MatPartitioning));
    1794             : PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning, PetscViewer);
    1795             : PETSC_EXTERN PetscErrorCode MatPartitioningViewFromOptions(MatPartitioning, PetscObject, const char[]);
    1796             : PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
    1797             : PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning, MatPartitioningType *);
    1798             : 
    1799             : PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetRepartition(MatPartitioning part);
    1800             : PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
    1801             : PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
    1802             : 
    1803             : typedef enum {
    1804             :   MP_CHACO_MULTILEVEL = 1,
    1805             :   MP_CHACO_SPECTRAL   = 2,
    1806             :   MP_CHACO_LINEAR     = 4,
    1807             :   MP_CHACO_RANDOM     = 5,
    1808             :   MP_CHACO_SCATTERED  = 6
    1809             : } MPChacoGlobalType;
    1810             : PETSC_EXTERN const char *const MPChacoGlobalTypes[];
    1811             : typedef enum {
    1812             :   MP_CHACO_KERNIGHAN = 1,
    1813             :   MP_CHACO_NONE      = 2
    1814             : } MPChacoLocalType;
    1815             : PETSC_EXTERN const char *const MPChacoLocalTypes[];
    1816             : typedef enum {
    1817             :   MP_CHACO_LANCZOS = 0,
    1818             :   MP_CHACO_RQI     = 1
    1819             : } MPChacoEigenType;
    1820             : PETSC_EXTERN const char *const MPChacoEigenTypes[];
    1821             : 
    1822             : PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning, MPChacoGlobalType);
    1823             : PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning, MPChacoGlobalType *);
    1824             : PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning, MPChacoLocalType);
    1825             : PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning, MPChacoLocalType *);
    1826             : PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning, PetscReal);
    1827             : PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning, MPChacoEigenType);
    1828             : PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning, MPChacoEigenType *);
    1829             : PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning, PetscReal);
    1830             : PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning, PetscReal *);
    1831             : PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning, PetscInt);
    1832             : PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning, PetscInt *);
    1833             : 
    1834             : #define MP_PARTY_OPT "opt"
    1835             : #define MP_PARTY_LIN "lin"
    1836             : #define MP_PARTY_SCA "sca"
    1837             : #define MP_PARTY_RAN "ran"
    1838             : #define MP_PARTY_GBF "gbf"
    1839             : #define MP_PARTY_GCF "gcf"
    1840             : #define MP_PARTY_BUB "bub"
    1841             : #define MP_PARTY_DEF "def"
    1842             : PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning, const char *);
    1843             : #define MP_PARTY_HELPFUL_SETS  "hs"
    1844             : #define MP_PARTY_KERNIGHAN_LIN "kl"
    1845             : #define MP_PARTY_NONE          "no"
    1846             : PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning, const char *);
    1847             : PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning, PetscReal);
    1848             : PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning, PetscBool);
    1849             : PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning, PetscBool);
    1850             : 
    1851             : typedef enum {
    1852             :   MP_PTSCOTCH_DEFAULT,
    1853             :   MP_PTSCOTCH_QUALITY,
    1854             :   MP_PTSCOTCH_SPEED,
    1855             :   MP_PTSCOTCH_BALANCE,
    1856             :   MP_PTSCOTCH_SAFETY,
    1857             :   MP_PTSCOTCH_SCALABILITY
    1858             : } MPPTScotchStrategyType;
    1859             : PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
    1860             : 
    1861             : PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning, PetscReal);
    1862             : PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning, PetscReal *);
    1863             : PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning, MPPTScotchStrategyType);
    1864             : PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning, MPPTScotchStrategyType *);
    1865             : 
    1866             : /*
    1867             :  * hierarchical partitioning
    1868             :  */
    1869             : PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetFineparts(MatPartitioning, IS *);
    1870             : PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetCoarseparts(MatPartitioning, IS *);
    1871             : PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNcoarseparts(MatPartitioning, PetscInt);
    1872             : PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNfineparts(MatPartitioning, PetscInt);
    1873             : 
    1874             : PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat, PetscInt, Mat *);
    1875             : 
    1876             : /*
    1877             :     If you add entries here you must also add them to src/mat/f90-mod/petscmat.h
    1878             :     If any of the enum values are changed, also update dMatOps dict at src/binding/petsc4py/src/libpetsc4py/libpetsc4py.pyx
    1879             : */
    1880             : typedef enum {
    1881             :   MATOP_SET_VALUES               = 0,
    1882             :   MATOP_GET_ROW                  = 1,
    1883             :   MATOP_RESTORE_ROW              = 2,
    1884             :   MATOP_MULT                     = 3,
    1885             :   MATOP_MULT_ADD                 = 4,
    1886             :   MATOP_MULT_TRANSPOSE           = 5,
    1887             :   MATOP_MULT_TRANSPOSE_ADD       = 6,
    1888             :   MATOP_SOLVE                    = 7,
    1889             :   MATOP_SOLVE_ADD                = 8,
    1890             :   MATOP_SOLVE_TRANSPOSE          = 9,
    1891             :   MATOP_SOLVE_TRANSPOSE_ADD      = 10,
    1892             :   MATOP_LUFACTOR                 = 11,
    1893             :   MATOP_CHOLESKYFACTOR           = 12,
    1894             :   MATOP_SOR                      = 13,
    1895             :   MATOP_TRANSPOSE                = 14,
    1896             :   MATOP_GETINFO                  = 15,
    1897             :   MATOP_EQUAL                    = 16,
    1898             :   MATOP_GET_DIAGONAL             = 17,
    1899             :   MATOP_DIAGONAL_SCALE           = 18,
    1900             :   MATOP_NORM                     = 19,
    1901             :   MATOP_ASSEMBLY_BEGIN           = 20,
    1902             :   MATOP_ASSEMBLY_END             = 21,
    1903             :   MATOP_SET_OPTION               = 22,
    1904             :   MATOP_ZERO_ENTRIES             = 23,
    1905             :   MATOP_ZERO_ROWS                = 24,
    1906             :   MATOP_LUFACTOR_SYMBOLIC        = 25,
    1907             :   MATOP_LUFACTOR_NUMERIC         = 26,
    1908             :   MATOP_CHOLESKY_FACTOR_SYMBOLIC = 27,
    1909             :   MATOP_CHOLESKY_FACTOR_NUMERIC  = 28,
    1910             :   MATOP_SETUP                    = 29,
    1911             :   MATOP_ILUFACTOR_SYMBOLIC       = 30,
    1912             :   MATOP_ICCFACTOR_SYMBOLIC       = 31,
    1913             :   MATOP_GET_DIAGONAL_BLOCK       = 32,
    1914             :   MATOP_SET_INF                  = 33,
    1915             :   MATOP_DUPLICATE                = 34,
    1916             :   MATOP_FORWARD_SOLVE            = 35,
    1917             :   MATOP_BACKWARD_SOLVE           = 36,
    1918             :   MATOP_ILUFACTOR                = 37,
    1919             :   MATOP_ICCFACTOR                = 38,
    1920             :   MATOP_AXPY                     = 39,
    1921             :   MATOP_CREATE_SUBMATRICES       = 40,
    1922             :   MATOP_INCREASE_OVERLAP         = 41,
    1923             :   MATOP_GET_VALUES               = 42,
    1924             :   MATOP_COPY                     = 43,
    1925             :   MATOP_GET_ROW_MAX              = 44,
    1926             :   MATOP_SCALE                    = 45,
    1927             :   MATOP_SHIFT                    = 46,
    1928             :   MATOP_DIAGONAL_SET             = 47,
    1929             :   MATOP_ZERO_ROWS_COLUMNS        = 48,
    1930             :   MATOP_SET_RANDOM               = 49,
    1931             :   MATOP_GET_ROW_IJ               = 50,
    1932             :   MATOP_RESTORE_ROW_IJ           = 51,
    1933             :   MATOP_GET_COLUMN_IJ            = 52,
    1934             :   MATOP_RESTORE_COLUMN_IJ        = 53,
    1935             :   MATOP_FDCOLORING_CREATE        = 54,
    1936             :   MATOP_COLORING_PATCH           = 55,
    1937             :   MATOP_SET_UNFACTORED           = 56,
    1938             :   MATOP_PERMUTE                  = 57,
    1939             :   MATOP_SET_VALUES_BLOCKED       = 58,
    1940             :   MATOP_CREATE_SUBMATRIX         = 59,
    1941             :   MATOP_DESTROY                  = 60,
    1942             :   MATOP_VIEW                     = 61,
    1943             :   MATOP_CONVERT_FROM             = 62,
    1944             :   /* MATOP_PLACEHOLDER_63=63 */
    1945             :   MATOP_MATMAT_MULT_SYMBOLIC    = 64,
    1946             :   MATOP_MATMAT_MULT_NUMERIC     = 65,
    1947             :   MATOP_SET_LOCAL_TO_GLOBAL_MAP = 66,
    1948             :   MATOP_SET_VALUES_LOCAL        = 67,
    1949             :   MATOP_ZERO_ROWS_LOCAL         = 68,
    1950             :   MATOP_GET_ROW_MAX_ABS         = 69,
    1951             :   MATOP_GET_ROW_MIN_ABS         = 70,
    1952             :   MATOP_CONVERT                 = 71,
    1953             :   MATOP_HAS_OPERATION           = 72,
    1954             :   /* MATOP_PLACEHOLDER_73=73, */
    1955             :   MATOP_SET_VALUES_ADIFOR = 74,
    1956             :   MATOP_FD_COLORING_APPLY = 75,
    1957             :   MATOP_SET_FROM_OPTIONS  = 76,
    1958             :   /* MATOP_PLACEHOLDER_77=77, */
    1959             :   /* MATOP_PLACEHOLDER_78=78, */
    1960             :   MATOP_FIND_ZERO_DIAGONALS       = 79,
    1961             :   MATOP_MULT_MULTIPLE             = 80,
    1962             :   MATOP_SOLVE_MULTIPLE            = 81,
    1963             :   MATOP_GET_INERTIA               = 82,
    1964             :   MATOP_LOAD                      = 83,
    1965             :   MATOP_IS_SYMMETRIC              = 84,
    1966             :   MATOP_IS_HERMITIAN              = 85,
    1967             :   MATOP_IS_STRUCTURALLY_SYMMETRIC = 86,
    1968             :   MATOP_SET_VALUES_BLOCKEDLOCAL   = 87,
    1969             :   MATOP_CREATE_VECS               = 88,
    1970             :   /* MATOP_PLACEHOLDER_89=89, */
    1971             :   MATOP_MAT_MULT_SYMBOLIC = 90,
    1972             :   MATOP_MAT_MULT_NUMERIC  = 91,
    1973             :   /* MATOP_PLACEHOLDER_92=92, */
    1974             :   MATOP_PTAP_SYMBOLIC = 93,
    1975             :   MATOP_PTAP_NUMERIC  = 94,
    1976             :   /* MATOP_PLACEHOLDER_95=95, */
    1977             :   MATOP_MAT_TRANSPOSE_MULT_SYMBO = 96,
    1978             :   MATOP_MAT_TRANSPOSE_MULT_NUMER = 97,
    1979             :   MATOP_BIND_TO_CPU              = 98,
    1980             :   MATOP_PRODUCTSETFROMOPTIONS    = 99,
    1981             :   MATOP_PRODUCTSYMBOLIC          = 100,
    1982             :   MATOP_PRODUCTNUMERIC           = 101,
    1983             :   MATOP_CONJUGATE                = 102,
    1984             :   MATOP_VIEW_NATIVE              = 103,
    1985             :   MATOP_SET_VALUES_ROW           = 104,
    1986             :   MATOP_REAL_PART                = 105,
    1987             :   MATOP_IMAGINARY_PART           = 106,
    1988             :   MATOP_GET_ROW_UPPER_TRIANGULAR = 107,
    1989             :   MATOP_RESTORE_ROW_UPPER_TRIANG = 108,
    1990             :   MATOP_MAT_SOLVE                = 109,
    1991             :   MATOP_MAT_SOLVE_TRANSPOSE      = 110,
    1992             :   MATOP_GET_ROW_MIN              = 111,
    1993             :   MATOP_GET_COLUMN_VECTOR        = 112,
    1994             :   MATOP_MISSING_DIAGONAL         = 113,
    1995             :   MATOP_GET_SEQ_NONZERO_STRUCTUR = 114,
    1996             :   MATOP_CREATE                   = 115,
    1997             :   MATOP_GET_GHOSTS               = 116,
    1998             :   MATOP_GET_LOCAL_SUB_MATRIX     = 117,
    1999             :   MATOP_RESTORE_LOCALSUB_MATRIX  = 118,
    2000             :   MATOP_MULT_DIAGONAL_BLOCK      = 119,
    2001             :   MATOP_HERMITIAN_TRANSPOSE      = 120,
    2002             :   MATOP_MULT_HERMITIAN_TRANSPOSE = 121,
    2003             :   MATOP_MULT_HERMITIAN_TRANS_ADD = 122,
    2004             :   MATOP_GET_MULTI_PROC_BLOCK     = 123,
    2005             :   MATOP_FIND_NONZERO_ROWS        = 124,
    2006             :   MATOP_GET_COLUMN_NORMS         = 125,
    2007             :   MATOP_INVERT_BLOCK_DIAGONAL    = 126,
    2008             :   MATOP_INVERT_VBLOCK_DIAGONAL   = 127,
    2009             :   MATOP_CREATE_SUB_MATRICES_MPI  = 128,
    2010             :   MATOP_SET_VALUES_BATCH         = 129,
    2011             :   /* MATOP_PLACEHOLDER_130=130, */
    2012             :   MATOP_TRANSPOSE_MAT_MULT_SYMBO = 131,
    2013             :   MATOP_TRANSPOSE_MAT_MULT_NUMER = 132,
    2014             :   MATOP_TRANSPOSE_COLORING_CREAT = 133,
    2015             :   MATOP_TRANS_COLORING_APPLY_SPT = 134,
    2016             :   MATOP_TRANS_COLORING_APPLY_DEN = 135,
    2017             :   /* MATOP_PLACEHOLDER_136=136, */
    2018             :   MATOP_RART_SYMBOLIC         = 137,
    2019             :   MATOP_RART_NUMERIC          = 138,
    2020             :   MATOP_SET_BLOCK_SIZES       = 139,
    2021             :   MATOP_AYPX                  = 140,
    2022             :   MATOP_RESIDUAL              = 141,
    2023             :   MATOP_FDCOLORING_SETUP      = 142,
    2024             :   MATOP_FIND_OFFBLOCK_ENTRIES = 143,
    2025             :   MATOP_MPICONCATENATESEQ     = 144,
    2026             :   MATOP_DESTROYSUBMATRICES    = 145,
    2027             :   MATOP_MAT_TRANSPOSE_SOLVE   = 146,
    2028             :   MATOP_GET_VALUES_LOCAL      = 147,
    2029             :   MATOP_CREATE_GRAPH          = 148,
    2030             :   /* MATOP_PLACEHOLDER_149=149, */
    2031             :   MATOP_TRANSPOSE_SYMBOLIC  = 150,
    2032             :   MATOP_ELIMINATE_ZEROS     = 151,
    2033             :   MATOP_GET_ROW_SUM_ABS     = 152,
    2034             :   MATOP_GET_FACTOR          = 153,
    2035             :   MATOP_GET_BLOCK_DIAGONAL  = 154, // NOTE: caller of the two op functions owns the returned matrix
    2036             :   MATOP_GET_VBLOCK_DIAGONAL = 155, // and need to destroy it after use.
    2037             :   MATOP_COPY_HASH_TO_AIJ    = 156
    2038             : } MatOperation;
    2039             : PETSC_EXTERN PetscErrorCode MatSetOperation(Mat, MatOperation, void (*)(void));
    2040             : PETSC_EXTERN PetscErrorCode MatGetOperation(Mat, MatOperation, void (**)(void));
    2041             : PETSC_EXTERN PetscErrorCode MatHasOperation(Mat, MatOperation, PetscBool *);
    2042             : PETSC_EXTERN PetscErrorCode MatHasCongruentLayouts(Mat, PetscBool *);
    2043             : PETSC_DEPRECATED_FUNCTION(3, 14, 0, "MatProductClear()", ) static inline PetscErrorCode MatFreeIntermediateDataStructures(Mat A)
    2044             : {
    2045             :   return MatProductClear(A);
    2046             : }
    2047             : PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat, MatOperation, void (*)(void));
    2048             : PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat, MatOperation, void (**)(void));
    2049             : PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat, void *);
    2050             : PETSC_EXTERN PetscErrorCode MatShellSetContextDestroy(Mat, PetscCtxDestroyFn *);
    2051             : PETSC_EXTERN PetscErrorCode MatShellSetVecType(Mat, VecType);
    2052             : PETSC_EXTERN PetscErrorCode MatShellTestMult(Mat, PetscErrorCode (*)(void *, Vec, Vec), Vec, void *, PetscBool *);
    2053             : PETSC_EXTERN PetscErrorCode MatShellTestMultTranspose(Mat, PetscErrorCode (*)(void *, Vec, Vec), Vec, void *, PetscBool *);
    2054             : PETSC_EXTERN PetscErrorCode MatShellSetManageScalingShifts(Mat);
    2055             : PETSC_EXTERN PetscErrorCode MatShellSetMatProductOperation(Mat, MatProductType, PetscErrorCode (*)(Mat, Mat, Mat, void **), PetscErrorCode (*)(Mat, Mat, Mat, void *), PetscErrorCode (*)(void *), MatType, MatType);
    2056             : PETSC_EXTERN PetscErrorCode MatIsShell(Mat, PetscBool *);
    2057             : 
    2058             : /*
    2059             :    Codes for matrices stored on disk. By default they are
    2060             :    stored in a universal format. By changing the format with
    2061             :    PetscViewerPushFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
    2062             :    be stored in a way natural for the matrix, for example dense matrices
    2063             :    would be stored as dense. Matrices stored this way may only be
    2064             :    read into matrices of the same type.
    2065             : */
    2066             : #define MATRIX_BINARY_FORMAT_DENSE -1
    2067             : 
    2068             : PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat, PetscReal);
    2069             : 
    2070             : PETSC_EXTERN PetscErrorCode MatISSetLocalMatType(Mat, MatType);
    2071             : PETSC_EXTERN PetscErrorCode MatISSetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
    2072             : PETSC_EXTERN PetscErrorCode MatISSetAllowRepeated(Mat, PetscBool);
    2073             : PETSC_EXTERN PetscErrorCode MatISGetAllowRepeated(Mat, PetscBool *);
    2074             : PETSC_EXTERN PetscErrorCode MatISStoreL2L(Mat, PetscBool);
    2075             : PETSC_EXTERN PetscErrorCode MatISFixLocalEmpty(Mat, PetscBool);
    2076             : PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat, Mat *);
    2077             : PETSC_EXTERN PetscErrorCode MatISRestoreLocalMat(Mat, Mat *);
    2078             : PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat, Mat);
    2079             : PETSC_EXTERN PetscErrorCode MatISGetLocalToGlobalMapping(Mat, ISLocalToGlobalMapping *, ISLocalToGlobalMapping *);
    2080             : 
    2081             : /*S
    2082             :    MatNullSpace - Object that removes a null space from a vector, i.e.
    2083             :                   orthogonalizes the vector to a subspace
    2084             : 
    2085             :    Level: advanced
    2086             : 
    2087             : .seealso: [](ch_matrices), `Mat`, `MatNullSpaceCreate()`, `MatNullSpaceSetFunction()`, `MatGetNullSpace()`, `MatSetNullSpace()`
    2088             : S*/
    2089             : typedef struct _p_MatNullSpace *MatNullSpace;
    2090             : 
    2091             : PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm, PetscBool, PetscInt, const Vec[], MatNullSpace *);
    2092             : PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace, PetscErrorCode (*)(MatNullSpace, Vec, void *), void *);
    2093             : PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace *);
    2094             : PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace, Vec);
    2095             : PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
    2096             : PETSC_EXTERN PetscErrorCode MatGetTransposeNullSpace(Mat, MatNullSpace *);
    2097             : PETSC_EXTERN PetscErrorCode MatSetTransposeNullSpace(Mat, MatNullSpace);
    2098             : PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat, MatNullSpace);
    2099             : PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat, MatNullSpace);
    2100             : PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat, MatNullSpace *);
    2101             : PETSC_EXTERN PetscErrorCode MatGetNullSpaces(PetscInt, Mat[], MatNullSpace *[]);
    2102             : PETSC_EXTERN PetscErrorCode MatRestoreNullSpaces(PetscInt, Mat[], MatNullSpace *[]);
    2103             : PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace, Mat, PetscBool *);
    2104             : PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace, PetscViewer);
    2105             : PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace, PetscBool *, PetscInt *, const Vec **);
    2106             : PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec, MatNullSpace *);
    2107             : 
    2108             : PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat, IS);
    2109             : PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat, PetscReal);
    2110             : PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat, PetscInt *);
    2111             : 
    2112             : PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat, PetscInt, Mat *);
    2113             : PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat, PetscInt, Mat *);
    2114             : PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat, Mat *);
    2115             : 
    2116             : PETSC_EXTERN PetscErrorCode MatComputeOperator(Mat, MatType, Mat *);
    2117             : PETSC_EXTERN PetscErrorCode MatComputeOperatorTranspose(Mat, MatType, Mat *);
    2118             : 
    2119             : PETSC_DEPRECATED_FUNCTION(3, 12, 0, "MatComputeOperator()", ) static inline PetscErrorCode MatComputeExplicitOperator(Mat A, Mat *B)
    2120             : {
    2121             :   return MatComputeOperator(A, PETSC_NULLPTR, B);
    2122             : }
    2123             : PETSC_DEPRECATED_FUNCTION(3, 12, 0, "MatComputeOperatorTranspose()", ) static inline PetscErrorCode MatComputeExplicitOperatorTranspose(Mat A, Mat *B)
    2124             : {
    2125             :   return MatComputeOperatorTranspose(A, PETSC_NULLPTR, B);
    2126             : }
    2127             : 
    2128             : PETSC_EXTERN PetscErrorCode MatCreateKAIJ(Mat, PetscInt, PetscInt, const PetscScalar[], const PetscScalar[], Mat *);
    2129             : PETSC_EXTERN PetscErrorCode MatKAIJGetAIJ(Mat, Mat *);
    2130             : PETSC_EXTERN PetscErrorCode MatKAIJGetS(Mat, PetscInt *, PetscInt *, PetscScalar **);
    2131             : PETSC_EXTERN PetscErrorCode MatKAIJGetSRead(Mat, PetscInt *, PetscInt *, const PetscScalar **);
    2132             : PETSC_EXTERN PetscErrorCode MatKAIJRestoreS(Mat, PetscScalar **);
    2133             : PETSC_EXTERN PetscErrorCode MatKAIJRestoreSRead(Mat, const PetscScalar **);
    2134             : PETSC_EXTERN PetscErrorCode MatKAIJGetT(Mat, PetscInt *, PetscInt *, PetscScalar **);
    2135             : PETSC_EXTERN PetscErrorCode MatKAIJGetTRead(Mat, PetscInt *, PetscInt *, const PetscScalar **);
    2136             : PETSC_EXTERN PetscErrorCode MatKAIJRestoreT(Mat, PetscScalar **);
    2137             : PETSC_EXTERN PetscErrorCode MatKAIJRestoreTRead(Mat, const PetscScalar **);
    2138             : PETSC_EXTERN PetscErrorCode MatKAIJSetAIJ(Mat, Mat);
    2139             : PETSC_EXTERN PetscErrorCode MatKAIJSetS(Mat, PetscInt, PetscInt, const PetscScalar[]);
    2140             : PETSC_EXTERN PetscErrorCode MatKAIJSetT(Mat, PetscInt, PetscInt, const PetscScalar[]);
    2141             : PETSC_EXTERN PetscErrorCode MatKAIJGetScaledIdentity(Mat, PetscBool *);
    2142             : 
    2143             : PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat, Vec);
    2144             : 
    2145             : PETSC_EXTERN PetscErrorCode MatMFFDInitializePackage(void);
    2146             : PETSC_EXTERN PetscErrorCode MatMFFDFinalizePackage(void);
    2147             : 
    2148             : PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
    2149             : PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat, Vec, Vec);
    2150             : PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat, PetscErrorCode (*)(void *, Vec, Vec), void *);
    2151             : PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat, PetscErrorCode (*)(void *, PetscInt, Vec, PetscScalar *));
    2152             : PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat, PetscErrorCode (*)(void *, Vec));
    2153             : PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat, PetscScalar[], PetscInt);
    2154             : PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
    2155             : PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat, PetscReal);
    2156             : PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat, PetscInt);
    2157             : PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat, PetscScalar *);
    2158             : PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat, const char[]);
    2159             : PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void *, Vec, Vec, PetscScalar *);
    2160             : PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat, PetscErrorCode (*)(void *, Vec, Vec, PetscScalar *), void *);
    2161             : 
    2162             : /*S
    2163             :     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
    2164             :               Jacobian vector products
    2165             : 
    2166             :     Level: developer
    2167             : 
    2168             :     Notes:
    2169             :     `MATMFFD` is a specific `MatType` which uses the `MatMFFD` data structure
    2170             : 
    2171             :      MatMFFD*() methods actually take the `Mat` as their first argument. Not a `MatMFFD` data structure
    2172             : 
    2173             :     This functionality is often obtained using `MatCreateSNESMF()` or with `SNES` solvers using `-snes_mf` or `-snes_mf_operator`
    2174             : 
    2175             : .seealso: [](ch_matrices), `MatMFFDType`, `MATMFFD`, `MatCreateMFFD()`, `MatMFFDSetFuction()`, `MatMFFDSetType()`, `MatMFFDRegister()`,
    2176             :           `MatCreateSNESMF()`, `SNES`, `-snes_mf`, `-snes_mf_operator`
    2177             : S*/
    2178             : typedef struct _p_MatMFFD *MatMFFD;
    2179             : 
    2180             : /*J
    2181             :    MatMFFDType - algorithm used to compute the `h` used in computing matrix-vector products via differencing of a function
    2182             : 
    2183             :    Values:
    2184             : +   `MATMFFD_DS` - an algorithm described by Dennis and Schnabel {cite}`dennis:83`
    2185             : -   `MATMFFD_WP` - the Walker-Pernice {cite}`pw98` strategy.
    2186             : 
    2187             :    Level: beginner
    2188             : 
    2189             : .seealso: [](ch_matrices), `MatMFFDSetType()`, `MatMFFDRegister()`, `MatMFFDSetFunction()`, `MatCreateMFFD()`
    2190             : J*/
    2191             : typedef const char *MatMFFDType;
    2192             : #define MATMFFD_DS "ds"
    2193             : #define MATMFFD_WP "wp"
    2194             : 
    2195             : PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat, MatMFFDType);
    2196             : PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[], PetscErrorCode (*)(MatMFFD));
    2197             : 
    2198             : PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat, PetscReal);
    2199             : PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat, PetscBool);
    2200             : 
    2201             : PETSC_EXTERN PetscErrorCode MatFDColoringSetType(MatFDColoring, MatMFFDType);
    2202             : 
    2203             : PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
    2204             : PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
    2205             : 
    2206             : #ifdef PETSC_HAVE_H2OPUS
    2207             : PETSC_EXTERN_TYPEDEF typedef PetscScalar(MatH2OpusKernelFn)(PetscInt, PetscReal[], PetscReal[], void *);
    2208             : PETSC_EXTERN_TYPEDEF typedef MatH2OpusKernelFn *MatH2OpusKernel;
    2209             : 
    2210             : PETSC_EXTERN PetscErrorCode MatCreateH2OpusFromKernel(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscReal[], PetscBool, MatH2OpusKernelFn *, void *, PetscReal, PetscInt, PetscInt, Mat *);
    2211             : PETSC_EXTERN PetscErrorCode MatCreateH2OpusFromMat(Mat, PetscInt, const PetscReal[], PetscBool, PetscReal, PetscInt, PetscInt, PetscInt, PetscReal, Mat *);
    2212             : PETSC_EXTERN PetscErrorCode MatH2OpusSetSamplingMat(Mat, Mat, PetscInt, PetscReal);
    2213             : PETSC_EXTERN PetscErrorCode MatH2OpusOrthogonalize(Mat);
    2214             : PETSC_EXTERN PetscErrorCode MatH2OpusCompress(Mat, PetscReal);
    2215             : PETSC_EXTERN PetscErrorCode MatH2OpusSetNativeMult(Mat, PetscBool);
    2216             : PETSC_EXTERN PetscErrorCode MatH2OpusGetNativeMult(Mat, PetscBool *);
    2217             : PETSC_EXTERN PetscErrorCode MatH2OpusGetIndexMap(Mat, IS *);
    2218             : PETSC_EXTERN PetscErrorCode MatH2OpusMapVec(Mat, PetscBool, Vec, Vec *);
    2219             : PETSC_EXTERN PetscErrorCode MatH2OpusLowRankUpdate(Mat, Mat, Mat, PetscScalar);
    2220             : #endif
    2221             : 
    2222             : #ifdef PETSC_HAVE_HTOOL
    2223             : PETSC_EXTERN_TYPEDEF typedef PetscErrorCode(MatHtoolKernelFn)(PetscInt, PetscInt, PetscInt, const PetscInt *, const PetscInt *, PetscScalar *, void *);
    2224             : PETSC_EXTERN_TYPEDEF typedef MatHtoolKernelFn *MatHtoolKernel;
    2225             : 
    2226             : PETSC_EXTERN PetscErrorCode MatCreateHtoolFromKernel(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscReal[], const PetscReal[], MatHtoolKernelFn *, void *, Mat *);
    2227             : PETSC_EXTERN PetscErrorCode MatHtoolSetKernel(Mat, MatHtoolKernelFn *, void *);
    2228             : PETSC_EXTERN PetscErrorCode MatHtoolGetPermutationSource(Mat, IS *);
    2229             : PETSC_EXTERN PetscErrorCode MatHtoolGetPermutationTarget(Mat, IS *);
    2230             : PETSC_EXTERN PetscErrorCode MatHtoolUsePermutation(Mat, PetscBool);
    2231             : 
    2232             : /*E
    2233             :    MatHtoolCompressorType - Indicates the type of compressor used by a `MATHTOOL`
    2234             : 
    2235             :    Values:
    2236             : +  `MAT_HTOOL_COMPRESSOR_SYMPARTIAL_ACA` (default) - symmetric partial adaptive cross approximation
    2237             : .  `MAT_HTOOL_COMPRESSOR_FULL_ACA`                 - full adaptive cross approximation
    2238             : -  `MAT_HTOOL_COMPRESSOR_SVD`                      - singular value decomposition
    2239             : 
    2240             :    Level: intermediate
    2241             : 
    2242             : .seealso: [](ch_matrices), `Mat`, `MatCreateHtoolFromKernel()`, `MATHTOOL`, `MatHtoolClusteringType`
    2243             : E*/
    2244             : typedef enum {
    2245             :   MAT_HTOOL_COMPRESSOR_SYMPARTIAL_ACA,
    2246             :   MAT_HTOOL_COMPRESSOR_FULL_ACA,
    2247             :   MAT_HTOOL_COMPRESSOR_SVD
    2248             : } MatHtoolCompressorType;
    2249             : 
    2250             : /*E
    2251             :    MatHtoolClusteringType - Indicates the type of clustering used by a `MATHTOOL`
    2252             : 
    2253             :    Values:
    2254             : +  `MAT_HTOOL_CLUSTERING_PCA_REGULAR` (default)    - axis computed via principle component analysis, split uniformly
    2255             : .  `MAT_HTOOL_CLUSTERING_PCA_GEOMETRIC`            - axis computed via principle component analysis, split barycentrically
    2256             : .  `MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_REGULAR`   - axis along the largest extent of the bounding box, split uniformly
    2257             : -  `MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_GEOMETRIC` - axis along the largest extent of the bounding box, split barycentrically
    2258             : 
    2259             :    Level: intermediate
    2260             : 
    2261             :    Note:
    2262             :    Higher-dimensional clustering is not yet supported in Htool, but once it is, one should add BOUNDING_BOX_{2,3} types
    2263             : 
    2264             : .seealso: [](ch_matrices), `Mat`, `MatCreateHtoolFromKernel()`, `MATHTOOL`, `MatHtoolCompressorType`
    2265             : E*/
    2266             : typedef enum {
    2267             :   MAT_HTOOL_CLUSTERING_PCA_REGULAR,
    2268             :   MAT_HTOOL_CLUSTERING_PCA_GEOMETRIC,
    2269             :   MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_REGULAR,
    2270             :   MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_GEOMETRIC
    2271             : } MatHtoolClusteringType;
    2272             : #endif
    2273             : 
    2274             : #ifdef PETSC_HAVE_MUMPS
    2275             : PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat, PetscInt, PetscInt);
    2276             : PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat, PetscInt, PetscInt *);
    2277             : PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat, PetscInt, PetscReal);
    2278             : PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat, PetscInt, PetscReal *);
    2279             : 
    2280             : PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat, PetscInt, PetscInt *);
    2281             : PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat, PetscInt, PetscInt *);
    2282             : PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat, PetscInt, PetscReal *);
    2283             : PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat, PetscInt, PetscReal *);
    2284             : PETSC_EXTERN PetscErrorCode MatMumpsGetNullPivots(Mat, PetscInt *, PetscInt **);
    2285             : PETSC_EXTERN PetscErrorCode MatMumpsGetInverse(Mat, Mat);
    2286             : PETSC_EXTERN PetscErrorCode MatMumpsGetInverseTranspose(Mat, Mat);
    2287             : #endif
    2288             : 
    2289             : #ifdef PETSC_HAVE_MKL_PARDISO
    2290             : PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat, PetscInt, PetscInt);
    2291             : #endif
    2292             : 
    2293             : #ifdef PETSC_HAVE_MKL_CPARDISO
    2294             : PETSC_EXTERN PetscErrorCode MatMkl_CPardisoSetCntl(Mat, PetscInt, PetscInt);
    2295             : #endif
    2296             : 
    2297             : #ifdef PETSC_HAVE_SUPERLU
    2298             : PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat, PetscReal);
    2299             : #endif
    2300             : 
    2301             : #ifdef PETSC_HAVE_SUPERLU_DIST
    2302             : PETSC_EXTERN PetscErrorCode MatSuperluDistGetDiagU(Mat, PetscScalar *);
    2303             : #endif
    2304             : 
    2305             : #ifdef PETSC_HAVE_STRUMPACK
    2306             : /*E
    2307             :     MatSTRUMPACKReordering - sparsity reducing ordering to be used in `MATSOLVERSTRUMPACK`
    2308             : 
    2309             :     Values:
    2310             : +  `MAT_STRUMPACK_NATURAL`   - use the current ordering
    2311             : .  `MAT_STRUMPACK_METIS`     - use MeTis to compute an ordering
    2312             : .  `MAT_STRUMPACK_PARMETIS`  - use ParMeTis to compute an ordering
    2313             : .  `MAT_STRUMPACK_SCOTCH`    - use Scotch to compute an ordering
    2314             : .  `MAT_STRUMPACK_PTSCOTCH`  - use parallel Scotch to compute an ordering
    2315             : .  `MAT_STRUMPACK_RCM`       - use an RCM ordering
    2316             : .  `MAT_STRUMPACK_GEOMETRIC` - use a geometric ordering (needs mesh info from user)
    2317             : .  `MAT_STRUMPACK_AMD`       - approximate minimum degree
    2318             : .  `MAT_STRUMPACK_MMD`       - multiple minimum degree
    2319             : .  `MAT_STRUMPACK_AND`       - approximate nested dissection
    2320             : .  `MAT_STRUMPACK_MLF`       - minimum local fill
    2321             : -  `MAT_STRUMPACK_SPECTRAL`  - spectral nested dissection
    2322             : 
    2323             :     Level: intermediate
    2324             : 
    2325             :     Developer Note:
    2326             :     Should be called `MatSTRUMPACKReorderingType`
    2327             : 
    2328             : .seealso: `Mat`, `MATSOLVERSTRUMPACK`, `MatGetFactor()`, `MatSTRUMPACKSetReordering()`
    2329             : E*/
    2330             : typedef enum {
    2331             :   MAT_STRUMPACK_NATURAL,
    2332             :   MAT_STRUMPACK_METIS,
    2333             :   MAT_STRUMPACK_PARMETIS,
    2334             :   MAT_STRUMPACK_SCOTCH,
    2335             :   MAT_STRUMPACK_PTSCOTCH,
    2336             :   MAT_STRUMPACK_RCM,
    2337             :   MAT_STRUMPACK_GEOMETRIC,
    2338             :   MAT_STRUMPACK_AMD,
    2339             :   MAT_STRUMPACK_MMD,
    2340             :   MAT_STRUMPACK_AND,
    2341             :   MAT_STRUMPACK_MLF,
    2342             :   MAT_STRUMPACK_SPECTRAL
    2343             : } MatSTRUMPACKReordering;
    2344             : 
    2345             : PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetReordering(Mat, MatSTRUMPACKReordering);
    2346             : PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetReordering(Mat, MatSTRUMPACKReordering *);
    2347             : PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetGeometricNxyz(Mat, PetscInt, PetscInt, PetscInt);
    2348             : PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetGeometricComponents(Mat, PetscInt);
    2349             : PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetGeometricWidth(Mat, PetscInt);
    2350             : PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetColPerm(Mat, PetscBool);
    2351             : PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetColPerm(Mat, PetscBool *);
    2352             : PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetGPU(Mat, PetscBool);
    2353             : PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetGPU(Mat, PetscBool *);
    2354             : 
    2355             : /*E
    2356             :     MatSTRUMPACKCompressionType - Compression used in the approximate sparse factorization solver `MATSOLVERSTRUMPACK`
    2357             : 
    2358             :     Values:
    2359             : +  `MAT_STRUMPACK_COMPRESSION_TYPE_NONE`          - no compression, direct solver
    2360             : .  `MAT_STRUMPACK_COMPRESSION_TYPE_HSS`           - hierarchically semi-separable
    2361             : .  `MAT_STRUMPACK_COMPRESSION_TYPE_BLR`           - block low rank
    2362             : .  `MAT_STRUMPACK_COMPRESSION_TYPE_HODLR`         - hierarchically off-diagonal low rank (requires ButterfyPACK support, configure with --download-butterflypack)
    2363             : .  `MAT_STRUMPACK_COMPRESSION_TYPE_BLR_HODLR`     - hybrid of BLR and HODLR (requires ButterfyPACK support, configure with --download-butterflypack)
    2364             : .  `MAT_STRUMPACK_COMPRESSION_TYPE_ZFP_BLR_HODLR` - hybrid of lossy (ZFP), BLR and HODLR (requires ButterfyPACK and ZFP support, configure with --download-butterflypack --download-zfp)
    2365             : .  `MAT_STRUMPACK_COMPRESSION_TYPE_LOSSLESS`      - lossless compression (requires ZFP support, configure with --download-zfp)
    2366             : -  `MAT_STRUMPACK_COMPRESSION_TYPE_LOSSY`         - lossy compression (requires ZFP support, configure with --download-zfp)
    2367             : 
    2368             :     Level: intermediate
    2369             : 
    2370             : .seealso: `Mat`, `MATSOLVERSTRUMPACK`, `MatGetFactor()`, `MatSTRUMPACKSetCompression()`
    2371             : E*/
    2372             : typedef enum {
    2373             :   MAT_STRUMPACK_COMPRESSION_TYPE_NONE,
    2374             :   MAT_STRUMPACK_COMPRESSION_TYPE_HSS,
    2375             :   MAT_STRUMPACK_COMPRESSION_TYPE_BLR,
    2376             :   MAT_STRUMPACK_COMPRESSION_TYPE_HODLR,
    2377             :   MAT_STRUMPACK_COMPRESSION_TYPE_BLR_HODLR,
    2378             :   MAT_STRUMPACK_COMPRESSION_TYPE_ZFP_BLR_HODLR,
    2379             :   MAT_STRUMPACK_COMPRESSION_TYPE_LOSSLESS,
    2380             :   MAT_STRUMPACK_COMPRESSION_TYPE_LOSSY
    2381             : } MatSTRUMPACKCompressionType;
    2382             : 
    2383             : PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompression(Mat, MatSTRUMPACKCompressionType);
    2384             : PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompression(Mat, MatSTRUMPACKCompressionType *);
    2385             : PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompRelTol(Mat, PetscReal);
    2386             : PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompRelTol(Mat, PetscReal *);
    2387             : PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompAbsTol(Mat, PetscReal);
    2388             : PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompAbsTol(Mat, PetscReal *);
    2389             : PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompMinSepSize(Mat, PetscInt);
    2390             : PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompMinSepSize(Mat, PetscInt *);
    2391             : PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompLeafSize(Mat, PetscInt);
    2392             : PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompLeafSize(Mat, PetscInt *);
    2393             : PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompLossyPrecision(Mat, PetscInt);
    2394             : PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompLossyPrecision(Mat, PetscInt *);
    2395             : PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompButterflyLevels(Mat, PetscInt);
    2396             : PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompButterflyLevels(Mat, PetscInt *);
    2397             : #endif
    2398             : 
    2399             : PETSC_EXTERN PetscErrorCode MatBindToCPU(Mat, PetscBool);
    2400             : PETSC_EXTERN PetscErrorCode MatBoundToCPU(Mat, PetscBool *);
    2401             : PETSC_DEPRECATED_FUNCTION(3, 13, 0, "MatBindToCPU()", ) static inline PetscErrorCode MatPinToCPU(Mat A, PetscBool flg)
    2402             : {
    2403             :   return MatBindToCPU(A, flg);
    2404             : }
    2405             : PETSC_EXTERN PetscErrorCode MatSetBindingPropagates(Mat, PetscBool);
    2406             : PETSC_EXTERN PetscErrorCode MatGetBindingPropagates(Mat, PetscBool *);
    2407             : 
    2408             : #ifdef PETSC_HAVE_CUDA
    2409             : /*E
    2410             :     MatCUSPARSEStorageFormat - indicates the storage format for `MATAIJCUSPARSE` (GPU)
    2411             :     matrices.
    2412             : 
    2413             :     Values:
    2414             : +   `MAT_CUSPARSE_CSR` - Compressed Sparse Row
    2415             : .   `MAT_CUSPARSE_ELL` - Ellpack (requires CUDA 4.2 or later).
    2416             : -   `MAT_CUSPARSE_HYB` - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
    2417             : 
    2418             :     Level: intermediate
    2419             : 
    2420             : .seealso: [](ch_matrices), `MATAIJCUSPARSE`, `MatCUSPARSESetFormat()`, `MatCUSPARSEFormatOperation`
    2421             : E*/
    2422             : 
    2423             : typedef enum {
    2424             :   MAT_CUSPARSE_CSR,
    2425             :   MAT_CUSPARSE_ELL,
    2426             :   MAT_CUSPARSE_HYB
    2427             : } MatCUSPARSEStorageFormat;
    2428             : 
    2429             : /* these will be strings associated with enumerated type defined above */
    2430             : PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
    2431             : 
    2432             : /*E
    2433             :     MatCUSPARSEFormatOperation - indicates the operation of `MATAIJCUSPARSE` (GPU)
    2434             :     matrices whose operation should use a particular storage format.
    2435             : 
    2436             :     Values:
    2437             : +   `MAT_CUSPARSE_MULT_DIAG`    - sets the storage format for the diagonal matrix in the parallel `MatMult()`
    2438             : .   `MAT_CUSPARSE_MULT_OFFDIAG` - sets the storage format for the off-diagonal matrix in the parallel `MatMult()`
    2439             : .   `MAT_CUSPARSE_MULT`         - sets the storage format for the entire matrix in the serial (single GPU) `MatMult()`
    2440             : -   `MAT_CUSPARSE_ALL`          - sets the storage format for all `MATAIJCUSPARSE` (GPU) matrices
    2441             : 
    2442             :     Level: intermediate
    2443             : 
    2444             : .seealso: [](ch_matrices), `MatCUSPARSESetFormat()`, `MatCUSPARSEStorageFormat`
    2445             : E*/
    2446             : typedef enum {
    2447             :   MAT_CUSPARSE_MULT_DIAG,
    2448             :   MAT_CUSPARSE_MULT_OFFDIAG,
    2449             :   MAT_CUSPARSE_MULT,
    2450             :   MAT_CUSPARSE_ALL
    2451             : } MatCUSPARSEFormatOperation;
    2452             : 
    2453             : PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
    2454             : PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
    2455             : PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat, MatCUSPARSEFormatOperation, MatCUSPARSEStorageFormat);
    2456             : PETSC_EXTERN PetscErrorCode MatCUSPARSESetUseCPUSolve(Mat, PetscBool);
    2457             : PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetIJ(Mat, PetscBool, const int **, const int **);
    2458             : PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreIJ(Mat, PetscBool, const int **, const int **);
    2459             : PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArrayRead(Mat, const PetscScalar **);
    2460             : PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArrayRead(Mat, const PetscScalar **);
    2461             : PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArrayWrite(Mat, PetscScalar **);
    2462             : PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArrayWrite(Mat, PetscScalar **);
    2463             : PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArray(Mat, PetscScalar **);
    2464             : PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArray(Mat, PetscScalar **);
    2465             : 
    2466             : PETSC_EXTERN PetscErrorCode MatCreateDenseCUDA(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar[], Mat *);
    2467             : PETSC_EXTERN PetscErrorCode MatCreateSeqDenseCUDA(MPI_Comm, PetscInt, PetscInt, PetscScalar[], Mat *);
    2468             : PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArrayWrite(Mat, PetscScalar **);
    2469             : PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArrayRead(Mat, const PetscScalar **);
    2470             : PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArray(Mat, PetscScalar **);
    2471             : PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArrayWrite(Mat, PetscScalar **);
    2472             : PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArrayRead(Mat, const PetscScalar **);
    2473             : PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArray(Mat, PetscScalar **);
    2474             : PETSC_EXTERN PetscErrorCode MatDenseCUDAPlaceArray(Mat, const PetscScalar *);
    2475             : PETSC_EXTERN PetscErrorCode MatDenseCUDAReplaceArray(Mat, const PetscScalar *);
    2476             : PETSC_EXTERN PetscErrorCode MatDenseCUDAResetArray(Mat);
    2477             : PETSC_EXTERN PetscErrorCode MatDenseCUDASetPreallocation(Mat, PetscScalar *);
    2478             : 
    2479             : PETSC_EXTERN PetscErrorCode MatCreateSeqSELLCUDA(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
    2480             : PETSC_EXTERN PetscErrorCode MatCreateSELLCUDA(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
    2481             : #endif
    2482             : 
    2483             : #ifdef PETSC_HAVE_HIP
    2484             : /*E
    2485             :     MatHIPSPARSEStorageFormat - indicates the storage format for `MATAIJHIPSPARSE` (GPU)
    2486             :     matrices.
    2487             : 
    2488             :     Values:
    2489             : +   `MAT_HIPSPARSE_CSR` - Compressed Sparse Row
    2490             : .   `MAT_HIPSPARSE_ELL` - Ellpack
    2491             : -   `MAT_HIPSPARSE_HYB` - Hybrid, a combination of Ellpack and Coordinate format
    2492             : 
    2493             :     Level: intermediate
    2494             : 
    2495             : .seealso: [](ch_matrices), `MatHIPSPARSESetFormat()`, `MatHIPSPARSEFormatOperation`
    2496             : E*/
    2497             : 
    2498             : typedef enum {
    2499             :   MAT_HIPSPARSE_CSR,
    2500             :   MAT_HIPSPARSE_ELL,
    2501             :   MAT_HIPSPARSE_HYB
    2502             : } MatHIPSPARSEStorageFormat;
    2503             : 
    2504             : /* these will be strings associated with enumerated type defined above */
    2505             : PETSC_EXTERN const char *const MatHIPSPARSEStorageFormats[];
    2506             : 
    2507             : /*E
    2508             :     MatHIPSPARSEFormatOperation - indicates the operation of `MATAIJHIPSPARSE` (GPU)
    2509             :     matrices whose operation should use a particular storage format.
    2510             : 
    2511             :     Values:
    2512             : +   `MAT_HIPSPARSE_MULT_DIAG`    - sets the storage format for the diagonal matrix in the parallel `MatMult()`
    2513             : .   `MAT_HIPSPARSE_MULT_OFFDIAG` - sets the storage format for the off-diagonal matrix in the parallel `MatMult()`
    2514             : .   `MAT_HIPSPARSE_MULT`         - sets the storage format for the entire matrix in the serial (single GPU) `MatMult()`
    2515             : -   `MAT_HIPSPARSE_ALL`          - sets the storage format for all HIPSPARSE (GPU) matrices
    2516             : 
    2517             :     Level: intermediate
    2518             : 
    2519             : .seealso: [](ch_matrices), `MatHIPSPARSESetFormat()`, `MatHIPSPARSEStorageFormat`
    2520             : E*/
    2521             : typedef enum {
    2522             :   MAT_HIPSPARSE_MULT_DIAG,
    2523             :   MAT_HIPSPARSE_MULT_OFFDIAG,
    2524             :   MAT_HIPSPARSE_MULT,
    2525             :   MAT_HIPSPARSE_ALL
    2526             : } MatHIPSPARSEFormatOperation;
    2527             : 
    2528             : PETSC_EXTERN PetscErrorCode MatCreateSeqAIJHIPSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
    2529             : PETSC_EXTERN PetscErrorCode MatCreateAIJHIPSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
    2530             : PETSC_EXTERN PetscErrorCode MatHIPSPARSESetFormat(Mat, MatHIPSPARSEFormatOperation, MatHIPSPARSEStorageFormat);
    2531             : PETSC_EXTERN PetscErrorCode MatHIPSPARSESetUseCPUSolve(Mat, PetscBool);
    2532             : PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetIJ(Mat, PetscBool, const int **, const int **);
    2533             : PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreIJ(Mat, PetscBool, const int **, const int **);
    2534             : PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetArrayRead(Mat, const PetscScalar **);
    2535             : PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreArrayRead(Mat, const PetscScalar **);
    2536             : PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetArrayWrite(Mat, PetscScalar **);
    2537             : PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreArrayWrite(Mat, PetscScalar **);
    2538             : PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetArray(Mat, PetscScalar **);
    2539             : PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreArray(Mat, PetscScalar **);
    2540             : 
    2541             : PETSC_EXTERN PetscErrorCode MatCreateDenseHIP(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar[], Mat *);
    2542             : PETSC_EXTERN PetscErrorCode MatCreateSeqDenseHIP(MPI_Comm, PetscInt, PetscInt, PetscScalar[], Mat *);
    2543             : PETSC_EXTERN PetscErrorCode MatDenseHIPGetArrayWrite(Mat, PetscScalar **);
    2544             : PETSC_EXTERN PetscErrorCode MatDenseHIPGetArrayRead(Mat, const PetscScalar **);
    2545             : PETSC_EXTERN PetscErrorCode MatDenseHIPGetArray(Mat, PetscScalar **);
    2546             : PETSC_EXTERN PetscErrorCode MatDenseHIPRestoreArrayWrite(Mat, PetscScalar **);
    2547             : PETSC_EXTERN PetscErrorCode MatDenseHIPRestoreArrayRead(Mat, const PetscScalar **);
    2548             : PETSC_EXTERN PetscErrorCode MatDenseHIPRestoreArray(Mat, PetscScalar **);
    2549             : PETSC_EXTERN PetscErrorCode MatDenseHIPPlaceArray(Mat, const PetscScalar *);
    2550             : PETSC_EXTERN PetscErrorCode MatDenseHIPReplaceArray(Mat, const PetscScalar *);
    2551             : PETSC_EXTERN PetscErrorCode MatDenseHIPResetArray(Mat);
    2552             : PETSC_EXTERN PetscErrorCode MatDenseHIPSetPreallocation(Mat, PetscScalar *);
    2553             : PETSC_EXTERN PetscErrorCode MatCreateSeqSELLHIP(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
    2554             : PETSC_EXTERN PetscErrorCode MatCreateSELLHIP(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
    2555             : #endif
    2556             : 
    2557             : #if defined(PETSC_HAVE_VIENNACL)
    2558             : PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
    2559             : PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
    2560             : #endif
    2561             : 
    2562             : #if PetscDefined(HAVE_KOKKOS)
    2563             : PETSC_EXTERN PetscErrorCode MatCreateAIJKokkos(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
    2564             : PETSC_EXTERN PetscErrorCode MatCreateSeqAIJKokkos(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
    2565             : #endif
    2566             : 
    2567             : #if defined(PETSC_HAVE_FFTW)
    2568             : PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat, Vec, Vec);
    2569             : PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat, Vec, Vec);
    2570             : PETSC_EXTERN PetscErrorCode MatCreateVecsFFTW(Mat, Vec *, Vec *, Vec *);
    2571             : #endif
    2572             : 
    2573             : #if defined(PETSC_HAVE_SCALAPACK)
    2574             : PETSC_EXTERN PetscErrorCode MatCreateScaLAPACK(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
    2575             : PETSC_EXTERN PetscErrorCode MatScaLAPACKSetBlockSizes(Mat, PetscInt, PetscInt);
    2576             : PETSC_EXTERN PetscErrorCode MatScaLAPACKGetBlockSizes(Mat, PetscInt *, PetscInt *);
    2577             : #endif
    2578             : 
    2579             : PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm, PetscInt, const IS[], PetscInt, const IS[], const Mat[], Mat *);
    2580             : PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat, PetscInt *, PetscInt *);
    2581             : PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat, IS[], IS[]);
    2582             : PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat, IS[], IS[]);
    2583             : PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat, PetscInt *, PetscInt *, Mat ***);
    2584             : PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat, PetscInt, PetscInt, Mat *);
    2585             : PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat, VecType);
    2586             : PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat, PetscInt, const IS[], PetscInt, const IS[], const Mat[]);
    2587             : PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat, PetscInt, PetscInt, Mat);
    2588             : 
    2589             : PETSC_EXTERN PetscErrorCode MatFilter(Mat, PetscReal, PetscBool, PetscBool);
    2590             : PETSC_DEPRECATED_FUNCTION(3, 20, 0, "MatFilter()", ) static inline PetscErrorCode MatChop(Mat A, PetscReal tol)
    2591             : {
    2592             :   return MatFilter(A, tol, PETSC_FALSE, PETSC_FALSE);
    2593             : }
    2594             : PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat, PetscReal, PetscInt *);
    2595             : 
    2596             : PETSC_EXTERN PetscErrorCode MatSubdomainsCreateCoalesce(Mat, PetscInt, PetscInt *, IS **);
    2597             : 
    2598             : PETSC_EXTERN PetscErrorCode MatPreallocatorPreallocate(Mat, PetscBool, Mat);
    2599             : 
    2600             : PETSC_EXTERN PetscErrorCode MatHeaderMerge(Mat, Mat *);
    2601             : PETSC_EXTERN PetscErrorCode MatHeaderReplace(Mat, Mat *);
    2602             : 
    2603             : PETSC_EXTERN PetscErrorCode MatSeqAIJGetCSRAndMemType(Mat, const PetscInt **, const PetscInt **, PetscScalar **, PetscMemType *);
    2604             : 
    2605             : PETSC_EXTERN PetscErrorCode MatCreateGraph(Mat, PetscBool, PetscBool, PetscReal, PetscInt, PetscInt[], Mat *);
    2606             : PETSC_EXTERN PetscErrorCode MatEliminateZeros(Mat, PetscBool);
    2607             : 
    2608             : PETSC_EXTERN PetscErrorCode MatCreateDenseFromVecType(MPI_Comm, VecType, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar *, Mat *);
    2609             : 
    2610             : PETSC_EXTERN PetscErrorCode MatSetHPL(Mat, int);
    2611             : #define PETSCBMHPL "hpl"

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