Actual source code: petscmat.h
petsc-3.7.1 2016-05-15
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      1: /*
      2:      Include file for the matrix component of PETSc
      3: */
      4: #ifndef __PETSCMAT_H
      6: #include <petscvec.h>

      8: /*S
      9:      Mat - Abstract PETSc matrix object used to manage all linear operators in PETSc, even those without
     10:            an explicit sparse representation (such as matrix-free operators)

     12:    Level: beginner

     14:   Concepts: matrix; linear operator

     16: .seealso:  MatCreate(), MatType, MatSetType(), MatDestroy()
     17: S*/
     18: typedef struct _p_Mat*           Mat;

     20: /*J
     21:     MatType - String with the name of a PETSc matrix type

     23:    Level: beginner

     25: .seealso: MatSetType(), Mat, MatSolverPackage, MatRegister()
     26: J*/
     27: typedef const char* MatType;
     28: #define MATSAME            "same"
     29: #define MATMAIJ            "maij"
     30: #define MATSEQMAIJ         "seqmaij"
     31: #define MATMPIMAIJ         "mpimaij"
     32: #define MATIS              "is"
     33: #define MATAIJ             "aij"
     34: #define MATSEQAIJ          "seqaij"
     35: #define MATMPIAIJ          "mpiaij"
     36: #define MATAIJCRL          "aijcrl"
     37: #define MATSEQAIJCRL       "seqaijcrl"
     38: #define MATMPIAIJCRL       "mpiaijcrl"
     39: #define MATAIJCUSP         "aijcusp"
     40: #define MATSEQAIJCUSP      "seqaijcusp"
     41: #define MATMPIAIJCUSP      "mpiaijcusp"
     42: #define MATAIJCUSPARSE     "aijcusparse"
     43: #define MATSEQAIJCUSPARSE  "seqaijcusparse"
     44: #define MATMPIAIJCUSPARSE  "mpiaijcusparse"
     45: #define MATAIJVIENNACL     "aijviennacl"
     46: #define MATSEQAIJVIENNACL  "seqaijviennacl"
     47: #define MATMPIAIJVIENNACL  "mpiaijviennacl"
     48: #define MATAIJPERM         "aijperm"
     49: #define MATSEQAIJPERM      "seqaijperm"
     50: #define MATMPIAIJPERM      "mpiaijperm"
     51: #define MATSHELL           "shell"
     52: #define MATDENSE           "dense"
     53: #define MATSEQDENSE        "seqdense"
     54: #define MATMPIDENSE        "mpidense"
     55: #define MATELEMENTAL       "elemental"
     56: #define MATBAIJ            "baij"
     57: #define MATSEQBAIJ         "seqbaij"
     58: #define MATMPIBAIJ         "mpibaij"
     59: #define MATMPIADJ          "mpiadj"
     60: #define MATSBAIJ           "sbaij"
     61: #define MATSEQSBAIJ        "seqsbaij"
     62: #define MATMPISBAIJ        "mpisbaij"
     63: #define MATSEQBSTRM        "seqbstrm"
     64: #define MATMPIBSTRM        "mpibstrm"
     65: #define MATBSTRM           "bstrm"
     66: #define MATSEQSBSTRM       "seqsbstrm"
     67: #define MATMPISBSTRM       "mpisbstrm"
     68: #define MATSBSTRM          "sbstrm"
     69: #define MATDAAD            "daad"
     70: #define MATMFFD            "mffd"
     71: #define MATNORMAL          "normal"
     72: #define MATNORMALHERMITIAN "normalh"
     73: #define MATLRC             "lrc"
     74: #define MATSCATTER         "scatter"
     75: #define MATBLOCKMAT        "blockmat"
     76: #define MATCOMPOSITE       "composite"
     77: #define MATFFT             "fft"
     78: #define MATFFTW            "fftw"
     79: #define MATSEQCUFFT        "seqcufft"
     80: #define MATTRANSPOSEMAT    "transpose"
     81: #define MATSCHURCOMPLEMENT "schurcomplement"
     82: #define MATPYTHON          "python"
     83: #define MATHYPRESTRUCT     "hyprestruct"
     84: #define MATHYPRESSTRUCT    "hypresstruct"
     85: #define MATSUBMATRIX       "submatrix"
     86: #define MATLOCALREF        "localref"
     87: #define MATNEST            "nest"
     88: #define MATPREALLOCATOR    "preallocator"

     90: /*J
     91:     MatSolverPackage - String with the name of a PETSc matrix solver type.

     93:     For example: "petsc" indicates what PETSc provides, "superlu_dist" the parallel SuperLU_DIST package etc

     95:    Level: beginner

     97: .seealso: MatGetFactor(), Mat, MatSetType(), MatType
     98: J*/
     99: #define MatSolverPackage char*
    100: #define MATSOLVERSUPERLU      "superlu"
    101: #define MATSOLVERSUPERLU_DIST "superlu_dist"
    102: #define MATSOLVERUMFPACK      "umfpack"
    103: #define MATSOLVERCHOLMOD      "cholmod"
    104: #define MATSOLVERCLIQUE       "clique"
    105: #define MATSOLVERKLU          "klu"
    106: #define MATSOLVERELEMENTAL    "elemental"
    107: #define MATSOLVERESSL         "essl"
    108: #define MATSOLVERLUSOL        "lusol"
    109: #define MATSOLVERMUMPS        "mumps"
    110: #define MATSOLVERMKL_PARDISO  "mkl_pardiso"
    111: #define MATSOLVERMKL_CPARDISO "mkl_cpardiso"
    112: #define MATSOLVERPASTIX       "pastix"
    113: #define MATSOLVERMATLAB       "matlab"
    114: #define MATSOLVERPETSC        "petsc"
    115: #define MATSOLVERBAS          "bas"
    116: #define MATSOLVERCUSPARSE     "cusparse"
    117: #define MATSOLVERBSTRM        "bstrm"
    118: #define MATSOLVERSBSTRM       "sbstrm"

    120: /*E
    121:     MatFactorType - indicates what type of factorization is requested

    123:     Level: beginner

    125:    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h

    127: .seealso: MatSolverPackage, MatGetFactor()
    128: E*/
    129: typedef enum {MAT_FACTOR_NONE, MAT_FACTOR_LU, MAT_FACTOR_CHOLESKY, MAT_FACTOR_ILU, MAT_FACTOR_ICC,MAT_FACTOR_ILUDT} MatFactorType;
    130: PETSC_EXTERN const char *const MatFactorTypes[];

    132: PETSC_EXTERN PetscErrorCode MatGetFactor(Mat,const MatSolverPackage,MatFactorType,Mat*);
    133: PETSC_EXTERN PetscErrorCode MatGetFactorAvailable(Mat,const MatSolverPackage,MatFactorType,PetscBool *);
    134: PETSC_EXTERN PetscErrorCode MatFactorGetSolverPackage(Mat,const MatSolverPackage*);
    135: PETSC_EXTERN PetscErrorCode MatGetFactorType(Mat,MatFactorType*);
    136: PETSC_EXTERN PetscErrorCode MatSolverPackageRegister(const MatSolverPackage,const MatType,MatFactorType,PetscErrorCode(*)(Mat,MatFactorType,Mat*));
    137: PETSC_EXTERN PetscErrorCode MatSolverPackageGet(const MatSolverPackage,const MatType,MatFactorType,PetscBool*,PetscBool*,PetscErrorCode (**)(Mat,MatFactorType,Mat*));

    139: /* Logging support */
    140: #define    MAT_FILE_CLASSID 1211216    /* used to indicate matrices in binary files */
    141: PETSC_EXTERN PetscClassId MAT_CLASSID;
    142: PETSC_EXTERN PetscClassId MAT_COLORING_CLASSID;
    143: PETSC_EXTERN PetscClassId MAT_FDCOLORING_CLASSID;
    144: PETSC_EXTERN PetscClassId MAT_TRANSPOSECOLORING_CLASSID;
    145: PETSC_EXTERN PetscClassId MAT_PARTITIONING_CLASSID;
    146: PETSC_EXTERN PetscClassId MAT_COARSEN_CLASSID;
    147: PETSC_EXTERN PetscClassId MAT_NULLSPACE_CLASSID;
    148: PETSC_EXTERN PetscClassId MATMFFD_CLASSID;

    150: /*E
    151:     MatReuse - Indicates if matrices obtained from a previous call to MatGetSubMatrices()
    152:      or MatGetSubMatrix() are to be reused to store the new matrix values. For MatConvert() is used to indicate
    153:      that the input matrix is to be replaced with the converted matrix.

    155:     Level: beginner

    157:    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h

    159: .seealso: MatGetSubMatrices(), MatGetSubMatrix(), MatDestroyMatrices(), MatConvert()
    160: E*/
    161: typedef enum {MAT_INITIAL_MATRIX,MAT_REUSE_MATRIX,MAT_IGNORE_MATRIX,MAT_INPLACE_MATRIX} MatReuse;

    163: /*E
    164:     MatGetSubMatrixOption - Indicates if matrices obtained from a call to MatGetSubMatrices()
    165:      include the matrix values. Currently it is only used by MatGetSeqNonzerostructure().

    167:     Level: beginner

    169: .seealso: MatGetSeqNonzerostructure()
    170: E*/
    171: typedef enum {MAT_DO_NOT_GET_VALUES,MAT_GET_VALUES} MatGetSubMatrixOption;

    173: PETSC_EXTERN PetscErrorCode MatInitializePackage(void);

    175: PETSC_EXTERN PetscErrorCode MatCreate(MPI_Comm,Mat*);
    176: PETSC_EXTERN PetscErrorCode MatSetSizes(Mat,PetscInt,PetscInt,PetscInt,PetscInt);
    177: PETSC_EXTERN PetscErrorCode MatSetType(Mat,MatType);
    178: PETSC_EXTERN PetscErrorCode MatSetFromOptions(Mat);
    179: PETSC_STATIC_INLINE PetscErrorCode MatViewFromOptions(Mat A,PetscObject obj,const char name[]) {return PetscObjectViewFromOptions((PetscObject)A,obj,name);}
    180: PETSC_EXTERN PetscErrorCode MatRegister(const char[],PetscErrorCode(*)(Mat));
    181: PETSC_EXTERN PetscErrorCode MatRegisterBaseName(const char[],const char[],const char[]);
    182: PETSC_EXTERN PetscErrorCode MatSetOptionsPrefix(Mat,const char[]);
    183: PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefix(Mat,const char[]);
    184: PETSC_EXTERN PetscErrorCode MatGetOptionsPrefix(Mat,const char*[]);
    185: PETSC_EXTERN PetscErrorCode MatSetErrorIfFailure(Mat,PetscBool);

    187: PETSC_EXTERN PetscFunctionList MatList;
    188: PETSC_EXTERN PetscFunctionList MatColoringList;
    189: PETSC_EXTERN PetscFunctionList MatPartitioningList;
    190: PETSC_EXTERN PetscFunctionList MatCoarsenList;

    192: /*E
    193:     MatStructure - Indicates if two matrices have the same nonzero structure

    195:     Level: beginner

    197:    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h

    199: .seealso: MatCopy(), MatAXPY()
    200: E*/
    201: typedef enum {DIFFERENT_NONZERO_PATTERN,SUBSET_NONZERO_PATTERN,SAME_NONZERO_PATTERN} MatStructure;

    203: PETSC_EXTERN PetscErrorCode MatCreateSeqDense(MPI_Comm,PetscInt,PetscInt,PetscScalar[],Mat*);
    204: PETSC_EXTERN PetscErrorCode MatCreateDense(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar[],Mat*);
    205: PETSC_EXTERN PetscErrorCode MatCreateSeqAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
    206: PETSC_EXTERN PetscErrorCode MatCreateAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
    207: PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
    208: PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSplitArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],PetscInt[],PetscInt[],PetscScalar[],Mat*);

    210: PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
    211: PETSC_EXTERN PetscErrorCode MatCreateBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
    212: PETSC_EXTERN PetscErrorCode MatCreateMPIBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat*);

    214: PETSC_EXTERN PetscErrorCode MatCreateMPIAdj(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscInt[],Mat*);
    215: PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);

    217: PETSC_EXTERN PetscErrorCode MatCreateSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
    218: PETSC_EXTERN PetscErrorCode MatCreateMPISBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
    219: PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
    220: PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
    221: PETSC_EXTERN PetscErrorCode MatXAIJSetPreallocation(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscInt[],const PetscInt[]);

    223: PETSC_EXTERN PetscErrorCode MatCreateShell(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,void *,Mat*);
    224: PETSC_EXTERN PetscErrorCode MatCreateNormal(Mat,Mat*);
    225: PETSC_EXTERN PetscErrorCode MatCreateNormalHermitian(Mat,Mat*);
    226: PETSC_EXTERN PetscErrorCode MatCreateLRC(Mat,Mat,Mat,Mat*);
    227: PETSC_EXTERN PetscErrorCode MatCreateIS(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,ISLocalToGlobalMapping,ISLocalToGlobalMapping,Mat*);
    228: PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
    229: PETSC_EXTERN PetscErrorCode MatCreateMPIAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);

    231: PETSC_EXTERN PetscErrorCode MatCreateSeqBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
    232: PETSC_EXTERN PetscErrorCode MatCreateMPIBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
    233: PETSC_EXTERN PetscErrorCode MatCreateSeqSBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
    234: PETSC_EXTERN PetscErrorCode MatCreateMPISBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);

    236: PETSC_EXTERN PetscErrorCode MatCreateScatter(MPI_Comm,VecScatter,Mat*);
    237: PETSC_EXTERN PetscErrorCode MatScatterSetVecScatter(Mat,VecScatter);
    238: PETSC_EXTERN PetscErrorCode MatScatterGetVecScatter(Mat,VecScatter*);
    239: PETSC_EXTERN PetscErrorCode MatCreateBlockMat(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt*,Mat*);
    240: PETSC_EXTERN PetscErrorCode MatCompositeAddMat(Mat,Mat);
    241: PETSC_EXTERN PetscErrorCode MatCompositeMerge(Mat);
    242: PETSC_EXTERN PetscErrorCode MatCreateComposite(MPI_Comm,PetscInt,const Mat*,Mat*);
    243: typedef enum {MAT_COMPOSITE_ADDITIVE,MAT_COMPOSITE_MULTIPLICATIVE} MatCompositeType;
    244: PETSC_EXTERN PetscErrorCode MatCompositeSetType(Mat,MatCompositeType);

    246: PETSC_EXTERN PetscErrorCode MatCreateFFT(MPI_Comm,PetscInt,const PetscInt[],MatType,Mat*);
    247: PETSC_EXTERN PetscErrorCode MatCreateSeqCUFFT(MPI_Comm,PetscInt,const PetscInt[],Mat*);

    249: PETSC_EXTERN PetscErrorCode MatCreateTranspose(Mat,Mat*);
    250: PETSC_EXTERN PetscErrorCode MatCreateHermitianTranspose(Mat,Mat*);
    251: PETSC_EXTERN PetscErrorCode MatCreateSubMatrix(Mat,IS,IS,Mat*);
    252: PETSC_EXTERN PetscErrorCode MatSubMatrixUpdate(Mat,Mat,IS,IS);
    253: PETSC_EXTERN PetscErrorCode MatCreateLocalRef(Mat,IS,IS,Mat*);

    255: PETSC_EXTERN PetscErrorCode MatPythonSetType(Mat,const char[]);

    257: PETSC_EXTERN PetscErrorCode MatSetUp(Mat);
    258: PETSC_EXTERN PetscErrorCode MatDestroy(Mat*);
    259: PETSC_EXTERN PetscErrorCode MatGetNonzeroState(Mat,PetscObjectState*);

    261: PETSC_EXTERN PetscErrorCode MatConjugate(Mat);
    262: PETSC_EXTERN PetscErrorCode MatRealPart(Mat);
    263: PETSC_EXTERN PetscErrorCode MatImaginaryPart(Mat);
    264: PETSC_EXTERN PetscErrorCode MatGetDiagonalBlock(Mat,Mat*);
    265: PETSC_EXTERN PetscErrorCode MatGetTrace(Mat,PetscScalar*);
    266: PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonal(Mat,const PetscScalar **);

    268: /* ------------------------------------------------------------*/
    269: PETSC_EXTERN PetscErrorCode MatSetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
    270: PETSC_EXTERN PetscErrorCode MatSetValuesBlocked(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
    271: PETSC_EXTERN PetscErrorCode MatSetValuesRow(Mat,PetscInt,const PetscScalar[]);
    272: PETSC_EXTERN PetscErrorCode MatSetValuesRowLocal(Mat,PetscInt,const PetscScalar[]);
    273: PETSC_EXTERN PetscErrorCode MatSetValuesBatch(Mat,PetscInt,PetscInt,PetscInt[],const PetscScalar[]);
    274: PETSC_EXTERN PetscErrorCode MatSetRandom(Mat,PetscRandom);

    276: /*S
    277:      MatStencil - Data structure (C struct) for storing information about a single row or
    278:         column of a matrix as indexed on an associated grid.

    280:    Fortran usage is different, see MatSetValuesStencil() for details.

    282:    Level: beginner

    284:   Concepts: matrix; linear operator

    286: .seealso:  MatSetValuesStencil(), MatSetStencil(), MatSetValuesBlockedStencil()
    287: S*/
    288: typedef struct {
    289:   PetscInt k,j,i,c;
    290: } MatStencil;

    292: PETSC_EXTERN PetscErrorCode MatSetValuesStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
    293: PETSC_EXTERN PetscErrorCode MatSetValuesBlockedStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
    294: PETSC_EXTERN PetscErrorCode MatSetStencil(Mat,PetscInt,const PetscInt[],const PetscInt[],PetscInt);

    296: PETSC_EXTERN PetscErrorCode MatSetColoring(Mat,ISColoring);
    297: PETSC_EXTERN PetscErrorCode MatSetValuesAdifor(Mat,PetscInt,void*);

    299: /*E
    300:     MatAssemblyType - Indicates if the matrix is now to be used, or if you plan
    301:      to continue to add values to it

    303:     Level: beginner

    305: .seealso: MatAssemblyBegin(), MatAssemblyEnd()
    306: E*/
    307: typedef enum {MAT_FLUSH_ASSEMBLY=1,MAT_FINAL_ASSEMBLY=0} MatAssemblyType;
    308: PETSC_EXTERN PetscErrorCode MatAssemblyBegin(Mat,MatAssemblyType);
    309: PETSC_EXTERN PetscErrorCode MatAssemblyEnd(Mat,MatAssemblyType);
    310: PETSC_EXTERN PetscErrorCode MatAssembled(Mat,PetscBool *);

    314: /*E
    315:     MatOption - Options that may be set for a matrix and its behavior or storage

    317:     Level: beginner

    319:    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h

    321:    Developer Notes: Entries that are negative need not be called collectively by all processes.

    323: .seealso: MatSetOption()
    324: E*/
    325: typedef enum {MAT_OPTION_MIN = -3,
    326:               MAT_UNUSED_NONZERO_LOCATION_ERR = -2,
    327:               MAT_ROW_ORIENTED = -1,
    328:               MAT_SYMMETRIC = 1,
    329:               MAT_STRUCTURALLY_SYMMETRIC = 2,
    330:               MAT_NEW_DIAGONALS = 3,
    331:               MAT_IGNORE_OFF_PROC_ENTRIES = 4,
    332:               MAT_USE_HASH_TABLE = 5,
    333:               MAT_KEEP_NONZERO_PATTERN = 6,
    334:               MAT_IGNORE_ZERO_ENTRIES = 7,
    335:               MAT_USE_INODES = 8,
    336:               MAT_HERMITIAN = 9,
    337:               MAT_SYMMETRY_ETERNAL = 10,
    338:               MAT_NEW_NONZERO_LOCATION_ERR = 11,
    339:               MAT_IGNORE_LOWER_TRIANGULAR = 12,
    340:               MAT_ERROR_LOWER_TRIANGULAR = 13,
    341:               MAT_GETROW_UPPERTRIANGULAR = 14,
    342:               MAT_SPD = 15,
    343:               MAT_NO_OFF_PROC_ZERO_ROWS = 16,
    344:               MAT_NO_OFF_PROC_ENTRIES = 17,
    345:               MAT_NEW_NONZERO_LOCATIONS = 18,
    346:               MAT_NEW_NONZERO_ALLOCATION_ERR = 19,
    347:               MAT_SUBSET_OFF_PROC_ENTRIES = 20,
    348:               MAT_OPTION_MAX = 21} MatOption;

    350: PETSC_EXTERN const char *MatOptions[];
    351: PETSC_EXTERN PetscErrorCode MatSetOption(Mat,MatOption,PetscBool);
    352: PETSC_EXTERN PetscErrorCode MatGetOption(Mat,MatOption,PetscBool*);
    353: PETSC_EXTERN PetscErrorCode MatGetType(Mat,MatType*);

    355: PETSC_EXTERN PetscErrorCode MatGetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar[]);
    356: PETSC_EXTERN PetscErrorCode MatGetRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
    357: PETSC_EXTERN PetscErrorCode MatRestoreRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
    358: PETSC_EXTERN PetscErrorCode MatGetRowUpperTriangular(Mat);
    359: PETSC_EXTERN PetscErrorCode MatRestoreRowUpperTriangular(Mat);
    360: PETSC_EXTERN PetscErrorCode MatGetColumn(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
    361: PETSC_EXTERN PetscErrorCode MatRestoreColumn(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
    362: PETSC_EXTERN PetscErrorCode MatGetColumnVector(Mat,Vec,PetscInt);
    363: PETSC_EXTERN PetscErrorCode MatSeqAIJGetArray(Mat,PetscScalar *[]);
    364: PETSC_EXTERN PetscErrorCode MatSeqAIJRestoreArray(Mat,PetscScalar *[]);
    365: PETSC_EXTERN PetscErrorCode MatSeqAIJGetMaxRowNonzeros(Mat,PetscInt*);
    366: PETSC_EXTERN PetscErrorCode MatSeqAIJSetValuesLocalFast(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
    367: PETSC_EXTERN PetscErrorCode MatDenseGetArray(Mat,PetscScalar *[]);
    368: PETSC_EXTERN PetscErrorCode MatDenseRestoreArray(Mat,PetscScalar *[]);
    369: PETSC_EXTERN PetscErrorCode MatGetBlockSize(Mat,PetscInt *);
    370: PETSC_EXTERN PetscErrorCode MatSetBlockSize(Mat,PetscInt);
    371: PETSC_EXTERN PetscErrorCode MatGetBlockSizes(Mat,PetscInt *,PetscInt *);
    372: PETSC_EXTERN PetscErrorCode MatSetBlockSizes(Mat,PetscInt,PetscInt);
    373: PETSC_EXTERN PetscErrorCode MatSetBlockSizesFromMats(Mat,Mat,Mat);

    375: PETSC_EXTERN PetscErrorCode MatMult(Mat,Vec,Vec);
    376: PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat,Vec,Vec);
    377: PETSC_EXTERN PetscErrorCode MatMultAdd(Mat,Vec,Vec,Vec);
    378: PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat,Vec,Vec);
    379: PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat,Vec,Vec);
    380: PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat,Mat,PetscReal,PetscBool *);
    381: PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat,Mat,PetscReal,PetscBool *);
    382: PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat,Vec,Vec,Vec);
    383: PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat,Vec,Vec,Vec);
    384: PETSC_EXTERN PetscErrorCode MatMultConstrained(Mat,Vec,Vec);
    385: PETSC_EXTERN PetscErrorCode MatMultTransposeConstrained(Mat,Vec,Vec);
    386: PETSC_EXTERN PetscErrorCode MatMatSolve(Mat,Mat,Mat);
    387: PETSC_EXTERN PetscErrorCode MatResidual(Mat,Vec,Vec,Vec);

    389: /*E
    390:     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
    391:   its numerical values copied over or just its nonzero structure.

    393:     Level: beginner

    395:    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h

    397: $   MAT_SHARE_NONZERO_PATTERN - the i and j arrays in the new matrix will be shared with the original matrix
    398: $                               this also triggers the MAT_DO_NOT_COPY_VALUES option. This is used when you
    399: $                               have several matrices with the same nonzero pattern.

    401: .seealso: MatDuplicate()
    402: E*/
    403: typedef enum {MAT_DO_NOT_COPY_VALUES,MAT_COPY_VALUES,MAT_SHARE_NONZERO_PATTERN} MatDuplicateOption;

    405: PETSC_EXTERN PetscErrorCode MatConvert(Mat,MatType,MatReuse,Mat*);
    406: PETSC_EXTERN PetscErrorCode MatDuplicate(Mat,MatDuplicateOption,Mat*);

    409: PETSC_EXTERN PetscErrorCode MatCopy(Mat,Mat,MatStructure);
    410: PETSC_EXTERN PetscErrorCode MatView(Mat,PetscViewer);
    411: PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat,PetscReal,PetscBool *);
    412: PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat,PetscBool *);
    413: PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat,PetscReal,PetscBool *);
    414: PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat,PetscBool *,PetscBool *);
    415: PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat,PetscBool *,PetscBool *);
    416: PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat,PetscBool  *,PetscInt *);
    417: PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);

    419: PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
    420: PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
    421: PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
    422: PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);

    424: /*S
    425:      MatInfo - Context of matrix information, used with MatGetInfo()

    427:    In Fortran this is simply a double precision array of dimension MAT_INFO_SIZE

    429:    Level: intermediate

    431:   Concepts: matrix^nonzero information

    433: .seealso:  MatGetInfo(), MatInfoType
    434: S*/
    435: typedef struct {
    436:   PetscLogDouble block_size;                         /* block size */
    437:   PetscLogDouble nz_allocated,nz_used,nz_unneeded;   /* number of nonzeros */
    438:   PetscLogDouble memory;                             /* memory allocated */
    439:   PetscLogDouble assemblies;                         /* number of matrix assemblies called */
    440:   PetscLogDouble mallocs;                            /* number of mallocs during MatSetValues() */
    441:   PetscLogDouble fill_ratio_given,fill_ratio_needed; /* fill ratio for LU/ILU */
    442:   PetscLogDouble factor_mallocs;                     /* number of mallocs during factorization */
    443: } MatInfo;

    445: /*E
    446:     MatInfoType - Indicates if you want information about the local part of the matrix,
    447:      the entire parallel matrix or the maximum over all the local parts.

    449:     Level: beginner

    451:    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h

    453: .seealso: MatGetInfo(), MatInfo
    454: E*/
    455: typedef enum {MAT_LOCAL=1,MAT_GLOBAL_MAX=2,MAT_GLOBAL_SUM=3} MatInfoType;
    456: PETSC_EXTERN PetscErrorCode MatGetInfo(Mat,MatInfoType,MatInfo*);
    457: PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat,Vec);
    458: PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat,Vec,PetscInt[]);
    459: PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat,Vec,PetscInt[]);
    460: PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat,Vec,PetscInt[]);
    461: PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat,Vec,PetscInt[]);
    462: PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat,Vec);
    463: PETSC_EXTERN PetscErrorCode MatTranspose(Mat,MatReuse,Mat*);
    464: PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat,MatReuse,Mat*);
    465: PETSC_EXTERN PetscErrorCode MatPermute(Mat,IS,IS,Mat*);
    466: PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat,Vec,Vec);
    467: PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat,Vec,InsertMode);

    469: PETSC_EXTERN PetscErrorCode MatEqual(Mat,Mat,PetscBool*);
    470: PETSC_EXTERN PetscErrorCode MatMultEqual(Mat,Mat,PetscInt,PetscBool*);
    471: PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat,Mat,PetscInt,PetscBool*);
    472: PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat,Mat,PetscInt,PetscBool*);
    473: PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat,Mat,PetscInt,PetscBool*);
    474: PETSC_EXTERN PetscErrorCode MatMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
    475: PETSC_EXTERN PetscErrorCode MatTransposeMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);

    477: PETSC_EXTERN PetscErrorCode MatNorm(Mat,NormType,PetscReal*);
    478: PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat,NormType,PetscReal*);
    479: PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
    480: PETSC_EXTERN PetscErrorCode MatZeroRows(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
    481: PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat,IS,PetscScalar,Vec,Vec);
    482: PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat,PetscInt,const MatStencil [],PetscScalar,Vec,Vec);
    483: PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat,PetscInt,const MatStencil[],PetscScalar,Vec,Vec);
    484: PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
    485: PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat,IS,PetscScalar,Vec,Vec);

    487: PETSC_EXTERN PetscErrorCode MatGetSize(Mat,PetscInt*,PetscInt*);
    488: PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat,PetscInt*,PetscInt*);
    489: PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat,PetscInt*,PetscInt*);
    490: PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat,const PetscInt**);
    491: PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat,PetscInt*,PetscInt*);
    492: PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat,const PetscInt**);
    493: PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat,IS*,IS*);

    495: PETSC_EXTERN PetscErrorCode MatGetSubMatrices(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
    496: PETSC_EXTERN PetscErrorCode MatGetSubMatricesMPI(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
    497: PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt,Mat *[]);
    498: PETSC_EXTERN PetscErrorCode MatGetSubMatrix(Mat,IS,IS,MatReuse,Mat *);
    499: PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat,IS,IS,Mat*);
    500: PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat,IS,IS,Mat*);
    501: PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat,Mat*);
    502: PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat*);

    504: PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm,Mat,PetscInt,PetscInt,MatReuse,Mat*);
    505: PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm,Mat,PetscInt,PetscInt,Mat*);
    506: PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat,Mat);
    507: PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat,MatReuse,Mat*);
    508: PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat,MatReuse,IS*,IS*,Mat*);
    509: PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat,Mat,MatReuse,IS*,IS*,Mat*);
    510: PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *,const PetscInt *[]);

    512: PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat,PetscInt,IS[],PetscInt);
    513: PETSC_EXTERN PetscErrorCode MatIncreaseOverlapSplit(Mat mat,PetscInt n,IS is[],PetscInt ov);
    514: PETSC_EXTERN PetscErrorCode MatMPIAIJSetUseScalableIncreaseOverlap(Mat,PetscBool);

    516: PETSC_EXTERN PetscErrorCode MatMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
    517: PETSC_EXTERN PetscErrorCode MatMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
    518: PETSC_EXTERN PetscErrorCode MatMatMultNumeric(Mat,Mat,Mat);

    520: PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);

    522: PETSC_EXTERN PetscErrorCode MatPtAP(Mat,Mat,MatReuse,PetscReal,Mat*);
    523: PETSC_EXTERN PetscErrorCode MatPtAPSymbolic(Mat,Mat,PetscReal,Mat*);
    524: PETSC_EXTERN PetscErrorCode MatPtAPNumeric(Mat,Mat,Mat);
    525: PETSC_EXTERN PetscErrorCode MatRARt(Mat,Mat,MatReuse,PetscReal,Mat*);
    526: PETSC_EXTERN PetscErrorCode MatRARtSymbolic(Mat,Mat,PetscReal,Mat*);
    527: PETSC_EXTERN PetscErrorCode MatRARtNumeric(Mat,Mat,Mat);

    529: PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
    530: PETSC_EXTERN PetscErrorCode MatTransposetMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
    531: PETSC_EXTERN PetscErrorCode MatTransposetMatMultNumeric(Mat,Mat,Mat);
    532: PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat,Mat,MatReuse,PetscReal,Mat*);
    533: PETSC_EXTERN PetscErrorCode MatMatTransposeMultSymbolic(Mat,Mat,PetscReal,Mat*);
    534: PETSC_EXTERN PetscErrorCode MatMatTransposeMultNumeric(Mat,Mat,Mat);

    536: PETSC_EXTERN PetscErrorCode MatAXPY(Mat,PetscScalar,Mat,MatStructure);
    537: PETSC_EXTERN PetscErrorCode MatAYPX(Mat,PetscScalar,Mat,MatStructure);

    539: PETSC_EXTERN PetscErrorCode MatScale(Mat,PetscScalar);
    540: PETSC_EXTERN PetscErrorCode MatShift(Mat,PetscScalar);

    542: PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
    543: PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
    544: PETSC_EXTERN PetscErrorCode MatGetLayouts(Mat,PetscLayout*,PetscLayout*);
    545: PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
    546: PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
    547: PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
    548: PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
    549: PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
    550: PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);

    552: PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat,PetscInt,PetscInt);
    553: PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat,PetscInt*,PetscInt*,PetscInt*,PetscInt*);

    555: PETSC_EXTERN PetscErrorCode MatInterpolate(Mat,Vec,Vec);
    556: PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat,Vec,Vec,Vec);
    557: PETSC_EXTERN PetscErrorCode MatRestrict(Mat,Vec,Vec);
    558: PETSC_EXTERN PetscErrorCode MatCreateVecs(Mat,Vec*,Vec*);
    559: PETSC_DEPRECATED("Use MatCreateVecs()") PETSC_STATIC_INLINE PetscErrorCode MatGetVecs(Mat mat,Vec *x,Vec *y) {return MatCreateVecs(mat,x,y);}
    560: PETSC_EXTERN PetscErrorCode MatCreateRedundantMatrix(Mat,PetscInt,MPI_Comm,MatReuse,Mat*);
    561: PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat,MPI_Comm,MatReuse,Mat*);
    562: PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat,IS*);
    563: PETSC_EXTERN PetscErrorCode MatFindOffBlockDiagonalEntries(Mat,IS*);
    564: PETSC_EXTERN PetscErrorCode MatCreateMPIMatConcatenateSeqMat(MPI_Comm,Mat,PetscInt,MatReuse,Mat*);

    566: /*MC
    567:    MatSetValue - Set a single entry into a matrix.

    569:    Not collective

    571:    Synopsis:
    572:      #include <petscmat.h>
    573:      PetscErrorCode MatSetValue(Mat m,PetscInt row,PetscInt col,PetscScalar value,InsertMode mode)

    575:    Input Parameters:
    576: +  m - the matrix
    577: .  row - the row location of the entry
    578: .  col - the column location of the entry
    579: .  value - the value to insert
    580: -  mode - either INSERT_VALUES or ADD_VALUES

    582:    Notes:
    583:    For efficiency one should use MatSetValues() and set several or many
    584:    values simultaneously if possible.

    586:    Level: beginner

    588: .seealso: MatSetValues(), MatSetValueLocal()
    589: M*/
    590: PETSC_STATIC_INLINE PetscErrorCode MatSetValue(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValues(v,1,&i,1,&j,&va,mode);}

    592: PETSC_STATIC_INLINE PetscErrorCode MatGetValue(Mat v,PetscInt i,PetscInt j,PetscScalar *va) {return MatGetValues(v,1,&i,1,&j,va);}

    594: PETSC_STATIC_INLINE PetscErrorCode MatSetValueLocal(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValuesLocal(v,1,&i,1,&j,&va,mode);}

    596: /*MC
    597:    MatPreallocateInitialize - Begins the block of code that will count the number of nonzeros per
    598:        row in a matrix providing the data that one can use to correctly preallocate the matrix.

    600:    Synopsis:
    601:    #include <petscmat.h>
    602:    PetscErrorCode MatPreallocateInitialize(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)

    604:    Collective on MPI_Comm

    606:    Input Parameters:
    607: +  comm - the communicator that will share the eventually allocated matrix
    608: .  nrows - the number of LOCAL rows in the matrix
    609: -  ncols - the number of LOCAL columns in the matrix

    611:    Output Parameters:
    612: +  dnz - the array that will be passed to the matrix preallocation routines
    613: -  ozn - the other array passed to the matrix preallocation routines

    615:    Level: intermediate

    617:    Notes:
    618:     See Users-Manual: Chapter 14 Hints for Performance Tuning for more details.

    620:    Do not malloc or free dnz and onz, that is handled internally by these routines

    622:    Use MatPreallocateInitializeSymmetric() for symmetric matrices (MPISBAIJ matrices)

    624:    This is a MACRO not a function because it has a leading { that is closed by PetscPreallocateFinalize().

    626:   Concepts: preallocation^Matrix

    628: .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
    629:           MatPreallocateInitializeSymmetric(), MatPreallocateSymmetricSetLocalBlock()
    630: M*/
    631: #define MatPreallocateInitialize(comm,nrows,ncols,dnz,onz) 0; \
    632: { \
    633:   PetscErrorCode _4_ierr; PetscInt __nrows = (nrows),__ctmp = (ncols),__rstart,__start,__end; \
    634:   _4_PetscCalloc2(__nrows,&dnz,__nrows,&onz);CHKERRQ(_4_ierr); \
    635:   __start = 0; __end = __start;                                         \
    636:   _4_MPI_Scan(&__ctmp,&__end,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __start = __end - __ctmp;\
    637:   _4_MPI_Scan(&__nrows,&__rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __nrows;

    639: /*MC
    640:    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
    641:        inserted using a local number of the rows and columns

    643:    Synopsis:
    644:    #include <petscmat.h>
    645:    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)

    647:    Not Collective

    649:    Input Parameters:
    650: +  map - the row mapping from local numbering to global numbering
    651: .  nrows - the number of rows indicated
    652: .  rows - the indices of the rows
    653: .  cmap - the column mapping from local to global numbering
    654: .  ncols - the number of columns in the matrix
    655: .  cols - the columns indicated
    656: .  dnz - the array that will be passed to the matrix preallocation routines
    657: -  ozn - the other array passed to the matrix preallocation routines

    659:    Level: intermediate

    661:    Notes:
    662:     See Users-Manual: Chapter 14 Hints for Performance Tuning for more details.

    664:    Do not malloc or free dnz and onz, that is handled internally by these routines

    666:   Concepts: preallocation^Matrix

    668: .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
    669:           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock()
    670: M*/
    671: #define MatPreallocateSetLocal(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
    672: {\
    673:   PetscInt __l;\
    674:   _4_ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
    675:   _4_ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
    676:   for (__l=0;__l<nrows;__l++) {\
    677:     _4_MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
    678:   }\
    679: }

    681: /*MC
    682:    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
    683:        inserted using a local number of the rows and columns

    685:    Synopsis:
    686:    #include <petscmat.h>
    687:    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)

    689:    Not Collective

    691:    Input Parameters:
    692: +  map - the row mapping from local numbering to global numbering
    693: .  nrows - the number of rows indicated
    694: .  rows - the indices of the rows
    695: .  cmap - the column mapping from local to global numbering
    696: .  ncols - the number of columns in the matrix
    697: .  cols - the columns indicated
    698: .  dnz - the array that will be passed to the matrix preallocation routines
    699: -  ozn - the other array passed to the matrix preallocation routines

    701:    Level: intermediate

    703:    Notes:
    704:     See Users-Manual: Chapter 14 Hints for Performance Tuning for more details.

    706:    Do not malloc or free dnz and onz, that is handled internally by these routines

    708:   Concepts: preallocation^Matrix

    710: .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
    711:           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock()
    712: M*/
    713: #define MatPreallocateSetLocalBlock(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
    714: {\
    715:   PetscInt __l;\
    716:   _4_ISLocalToGlobalMappingApplyBlock(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
    717:   _4_ISLocalToGlobalMappingApplyBlock(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
    718:   for (__l=0;__l<nrows;__l++) {\
    719:     _4_MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
    720:   }\
    721: }

    723: /*MC
    724:    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
    725:        inserted using a local number of the rows and columns

    727:    Synopsis:
    728:    #include <petscmat.h>
    729:    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)

    731:    Not Collective

    733:    Input Parameters:
    734: +  map - the mapping between local numbering and global numbering
    735: .  nrows - the number of rows indicated
    736: .  rows - the indices of the rows
    737: .  ncols - the number of columns in the matrix
    738: .  cols - the columns indicated
    739: .  dnz - the array that will be passed to the matrix preallocation routines
    740: -  ozn - the other array passed to the matrix preallocation routines

    742:    Level: intermediate

    744:    Notes:
    745:     See Users-Manual: Chapter 14 Hints for Performance Tuning for more details.

    747:    Do not malloc or free dnz and onz that is handled internally by these routines

    749:   Concepts: preallocation^Matrix

    751: .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateInitialize(),
    752:           MatPreallocateInitialize(),  MatPreallocateSetLocal()
    753: M*/
    754: #define MatPreallocateSymmetricSetLocalBlock(map,nrows,rows,ncols,cols,dnz,onz) 0;\
    755: {\
    756:   PetscInt __l;\
    757:   _4_ISLocalToGlobalMappingApplyBlock(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
    758:   _4_ISLocalToGlobalMappingApplyBlock(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
    759:   for (__l=0;__l<nrows;__l++) {\
    760:     _4_MatPreallocateSymmetricSetBlock((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
    761:   }\
    762: }
    763: /*MC
    764:    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
    765:        inserted using a local number of the rows and columns

    767:    Synopsis:
    768:    #include <petscmat.h>
    769:    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)

    771:    Not Collective

    773:    Input Parameters:
    774: +  row - the row
    775: .  ncols - the number of columns in the matrix
    776: -  cols - the columns indicated

    778:    Output Parameters:
    779: +  dnz - the array that will be passed to the matrix preallocation routines
    780: -  ozn - the other array passed to the matrix preallocation routines

    782:    Level: intermediate

    784:    Notes:
    785:     See Users-Manual: Chapter 14 Hints for Performance Tuning for more details.

    787:    Do not malloc or free dnz and onz that is handled internally by these routines

    789:    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().

    791:   Concepts: preallocation^Matrix

    793: .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
    794:           MatPreallocateInitialize(), MatPreallocateSetLocal()
    795: M*/
    796: #define MatPreallocateSet(row,nc,cols,dnz,onz) 0;\
    797: { PetscInt __i; \
    798:   if (row < __rstart) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Trying to set preallocation for row %D less than first local row %D",row,__rstart);\
    799:   if (row >= __rstart+__nrows) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Trying to set preallocation for row %D greater than last local row %D",row,__rstart+__nrows-1);\
    800:   for (__i=0; __i<nc; __i++) {\
    801:     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
    802:     else dnz[row - __rstart]++;\
    803:   }\
    804: }

    806: /*MC
    807:    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
    808:        inserted using a local number of the rows and columns

    810:    Synopsis:
    811:    #include <petscmat.h>
    812:    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)

    814:    Not Collective

    816:    Input Parameters:
    817: +  nrows - the number of rows indicated
    818: .  rows - the indices of the rows
    819: .  ncols - the number of columns in the matrix
    820: .  cols - the columns indicated
    821: .  dnz - the array that will be passed to the matrix preallocation routines
    822: -  ozn - the other array passed to the matrix preallocation routines

    824:    Level: intermediate

    826:    Notes:
    827:     See Users-Manual: Chapter 14 Hints for Performance Tuning for more details.

    829:    Do not malloc or free dnz and onz that is handled internally by these routines

    831:    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().

    833:   Concepts: preallocation^Matrix

    835: .seealso: MatPreallocateFinalize(), MatPreallocateSet(),  MatPreallocateInitialize(),
    836:           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
    837: M*/
    838: #define MatPreallocateSymmetricSetBlock(row,nc,cols,dnz,onz) 0;\
    839: { PetscInt __i; \
    840:   for (__i=0; __i<nc; __i++) {\
    841:     if (cols[__i] >= __end) onz[row - __rstart]++; \
    842:     else if (cols[__i] >= row) dnz[row - __rstart]++;\
    843:   }\
    844: }

    846: /*MC
    847:    MatPreallocateLocation -  An alternative to MatPreallocationSet() that puts the nonzero locations into the matrix if it exists

    849:    Synopsis:
    850:    #include <petscmat.h>
    851:    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)

    853:    Not Collective

    855:    Input Parameters:
    856: .  A - matrix
    857: .  row - row where values exist (must be local to this process)
    858: .  ncols - number of columns
    859: .  cols - columns with nonzeros
    860: .  dnz - the array that will be passed to the matrix preallocation routines
    861: -  ozn - the other array passed to the matrix preallocation routines

    863:    Level: intermediate

    865:    Notes:
    866:     See Users-Manual: Chapter 14 Hints for Performance Tuning for more details.

    868:    Do not malloc or free dnz and onz that is handled internally by these routines

    870:    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.

    872:   Concepts: preallocation^Matrix

    874: .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
    875:           MatPreallocateSymmetricSetLocalBlock()
    876: M*/
    877: #define MatPreallocateLocation(A,row,ncols,cols,dnz,onz) 0;if (A) {MatSetValues(A,1,&row,ncols,cols,NULL,INSERT_VALUES);} else { MatPreallocateSet(row,ncols,cols,dnz,onz);}

    880: /*MC
    881:    MatPreallocateFinalize - Ends the block of code that will count the number of nonzeros per
    882:        row in a matrix providing the data that one can use to correctly preallocate the matrix.

    884:    Synopsis:
    885:    #include <petscmat.h>
    886:    PetscErrorCode MatPreallocateFinalize(PetscInt *dnz, PetscInt *onz)

    888:    Collective on MPI_Comm

    890:    Input Parameters:
    891: +  dnz - the array that was be passed to the matrix preallocation routines
    892: -  ozn - the other array passed to the matrix preallocation routines

    894:    Level: intermediate

    896:    Notes:
    897:     See Users-Manual: Chapter 14 Hints for Performance Tuning for more details.

    899:    Do not malloc or free dnz and onz that is handled internally by these routines

    901:    This is a MACRO not a function because it closes the { started in MatPreallocateInitialize().

    903:   Concepts: preallocation^Matrix

    905: .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
    906:           MatPreallocateSymmetricSetLocalBlock()
    907: M*/
    908: #define MatPreallocateFinalize(dnz,onz) 0;_4_PetscFree2(dnz,onz);CHKERRQ(_4_ierr);}

    910: /* Routines unique to particular data structures */
    911: PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat,void *);

    913: PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat,IS*,IS*);
    914: PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat,PetscInt *,PetscInt *[],PetscInt *);

    916: PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat,PetscInt[]);
    917: PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat,PetscInt[]);
    918: PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
    919: PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
    920: PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
    921: PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*,PetscInt,PetscBool);

    923: #define MAT_SKIP_ALLOCATION -4

    925: PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
    926: PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
    927: PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat,PetscInt,const PetscInt[]);

    929: PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
    930: PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
    931: PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
    932: PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat,const PetscInt [],const PetscInt [],const PetscScalar []);
    933: PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
    934: PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]);
    935: PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
    936: PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat,PetscInt[],PetscInt[],PetscInt[]);
    937: PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
    938: PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
    939: PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
    940: PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
    941: PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat,Mat*);

    943: PETSC_EXTERN PetscErrorCode MatISSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
    944: PETSC_EXTERN PetscErrorCode MatSeqDenseSetLDA(Mat,PetscInt);
    945: PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat,Mat*);

    947: PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
    948: PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);

    950: PETSC_EXTERN PetscErrorCode MatDAADSetCtx(Mat,void*);

    952: PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat,IS*);
    953: /*
    954:   These routines are not usually accessed directly, rather solving is
    955:   done through the KSP and PC interfaces.
    956: */

    958: /*J
    959:     MatOrderingType - String with the name of a PETSc matrix ordering

    961:    Level: beginner

    963: .seealso: MatGetOrdering()
    964: J*/
    965: typedef const char* MatOrderingType;
    966: #define MATORDERINGNATURAL     "natural"
    967: #define MATORDERINGND          "nd"
    968: #define MATORDERING1WD         "1wd"
    969: #define MATORDERINGRCM         "rcm"
    970: #define MATORDERINGQMD         "qmd"
    971: #define MATORDERINGROWLENGTH   "rowlength"
    972: #define MATORDERINGWBM         "wbm"
    973: #define MATORDERINGSPECTRAL    "spectral"
    974: #define MATORDERINGAMD         "amd"            /* only works if UMFPACK is installed with PETSc */

    976: PETSC_EXTERN PetscErrorCode MatGetOrdering(Mat,MatOrderingType,IS*,IS*);
    977: PETSC_EXTERN PetscErrorCode MatGetOrderingList(PetscFunctionList*);
    978: PETSC_EXTERN PetscErrorCode MatOrderingRegister(const char[],PetscErrorCode(*)(Mat,MatOrderingType,IS*,IS*));
    979: PETSC_EXTERN PetscFunctionList MatOrderingList;

    981: PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
    982: PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat,PetscReal,PetscBool,Mat*);

    984: /*S
    985:     MatFactorShiftType - Numeric Shift.

    987:    Level: beginner

    989: S*/
    990: typedef enum {MAT_SHIFT_NONE,MAT_SHIFT_NONZERO,MAT_SHIFT_POSITIVE_DEFINITE,MAT_SHIFT_INBLOCKS} MatFactorShiftType;
    991: PETSC_EXTERN const char *const MatFactorShiftTypes[];
    992: PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];

    994: /*S
    995:     MatFactorError - indicates what type of error in matrix factor

    997:     Level: beginner

    999:     Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
    1000: S*/
    1001: typedef enum {MAT_FACTOR_NOERROR,MAT_FACTOR_STRUCT_ZEROPIVOT,MAT_FACTOR_NUMERIC_ZEROPIVOT,MAT_FACTOR_OUTMEMORY,MAT_FACTOR_OTHER} MatFactorError;

    1003: /*S
    1004:    MatFactorInfo - Data passed into the matrix factorization routines, and information about the resulting factorization

    1006:    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE, that is use
    1007: $     MatFactorInfo  info(MAT_FACTORINFO_SIZE)

    1009:    Notes: These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.

    1011:       You can use MatFactorInfoInitialize() to set default values.

    1013:    Level: developer

    1015: .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor(),
    1016:           MatFactorInfoInitialize()

    1018: S*/
    1019: typedef struct {
    1020:   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
    1021:   PetscReal     usedt;
    1022:   PetscReal     dt;             /* drop tolerance */
    1023:   PetscReal     dtcol;          /* tolerance for pivoting */
    1024:   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
    1025:   PetscReal     fill;           /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
    1026:   PetscReal     levels;         /* ICC/ILU(levels) */
    1027:   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
    1028:                                    factorization may be faster if do not pivot */
    1029:   PetscReal     zeropivot;      /* pivot is called zero if less than this */
    1030:   PetscReal     shifttype;      /* type of shift added to matrix factor to prevent zero pivots */
    1031:   PetscReal     shiftamount;     /* how large the shift is */
    1032: } MatFactorInfo;

    1034: PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo*);
    1035: PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat,IS,const MatFactorInfo*);
    1036: PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
    1037: PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat,Mat,const MatFactorInfo*);
    1038: PETSC_EXTERN PetscErrorCode MatLUFactor(Mat,IS,IS,const MatFactorInfo*);
    1039: PETSC_EXTERN PetscErrorCode MatILUFactor(Mat,IS,IS,const MatFactorInfo*);
    1040: PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
    1041: PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
    1042: PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
    1043: PETSC_EXTERN PetscErrorCode MatICCFactor(Mat,IS,const MatFactorInfo*);
    1044: PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat,Mat,const MatFactorInfo*);
    1045: PETSC_EXTERN PetscErrorCode MatGetInertia(Mat,PetscInt*,PetscInt*,PetscInt*);
    1046: PETSC_EXTERN PetscErrorCode MatSolve(Mat,Vec,Vec);
    1047: PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat,Vec,Vec);
    1048: PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat,Vec,Vec);
    1049: PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat,Vec,Vec,Vec);
    1050: PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat,Vec,Vec);
    1051: PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
    1052: PETSC_EXTERN PetscErrorCode MatSolves(Mat,Vecs,Vecs);
    1053: PETSC_EXTERN PetscErrorCode MatFactorSetSchurIS(Mat,IS);
    1054: PETSC_EXTERN PetscErrorCode MatFactorGetSchurComplement(Mat,Mat*);
    1055: PETSC_EXTERN PetscErrorCode MatFactorRestoreSchurComplement(Mat,Mat*);
    1056: PETSC_EXTERN PetscErrorCode MatFactorInvertSchurComplement(Mat);
    1057: PETSC_EXTERN PetscErrorCode MatFactorCreateSchurComplement(Mat,Mat*);
    1058: PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplement(Mat,Vec,Vec);
    1059: PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplementTranspose(Mat,Vec,Vec);
    1060: PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);

    1062: /*E
    1063:     MatSORType - What type of (S)SOR to perform

    1065:     Level: beginner

    1067:    May be bitwise ORd together

    1069:    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h

    1071:    MatSORType may be bitwise ORd together, so do not change the numbers

    1073: .seealso: MatSOR()
    1074: E*/
    1075: typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
    1076:               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
    1077:               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
    1078:               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
    1079: PETSC_EXTERN PetscErrorCode MatSOR(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);

    1081: /*
    1082:     These routines are for efficiently computing Jacobians via finite differences.
    1083: */

    1085: /*S
    1086:      MatColoring - Object for managing the coloring of matrices.

    1088:    Level: beginner

    1090:   Concepts: matrix, coloring

    1092: .seealso:  MatFDColoringCreate() ISColoring MatFDColoring
    1093: S*/
    1094: typedef struct _p_MatColoring* MatColoring;
    1095: /*J
    1096:     MatColoringType - String with the name of a PETSc matrix coloring

    1098:    Level: beginner

    1100: .seealso: MatColoringSetType(), MatColoring
    1101: J*/

    1103: typedef const  char*           MatColoringType;
    1104: #define MATCOLORINGJP      "jp"
    1105: #define MATCOLORINGPOWER   "power"
    1106: #define MATCOLORINGNATURAL "natural"
    1107: #define MATCOLORINGSL      "sl"
    1108: #define MATCOLORINGLF      "lf"
    1109: #define MATCOLORINGID      "id"
    1110: #define MATCOLORINGGREEDY  "greedy"

    1112: /*E
    1113:    MatColoringWeightType - Type of weight scheme

    1115:     Not Collective

    1117: +   MAT_COLORING_RANDOM  - Random weights
    1118: .   MAT_COLORING_LEXICAL - Lexical weighting based upon global numbering.
    1119: -   MAT_COLORING_LF      - Last-first weighting.

    1121:     Level: intermediate

    1123:    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h

    1125: .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
    1126: E*/
    1127: typedef enum {MAT_COLORING_WEIGHT_RANDOM,MAT_COLORING_WEIGHT_LEXICAL,MAT_COLORING_WEIGHT_LF,MAT_COLORING_WEIGHT_SL} MatColoringWeightType;

    1129: PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat,MatColoring*);
    1130: PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat,PetscInt,PetscInt*);
    1131: PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring*);
    1132: PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring,PetscViewer);
    1133: PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring,MatColoringType);
    1134: PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
    1135: PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring,PetscInt);
    1136: PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring,PetscInt*);
    1137: PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring,PetscInt);
    1138: PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring,PetscInt*);
    1139: PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring,ISColoring*);
    1140: PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[],PetscErrorCode(*)(MatColoring));
    1141: PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat,PetscInt,PetscInt,ISColoringValue[],ISColoring*);
    1142: PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring,MatColoringWeightType);
    1143: PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring,PetscReal*,PetscInt*);
    1144: PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring,PetscReal **,PetscInt **lperm);

    1146: /*S
    1147:      MatFDColoring - Object for computing a sparse Jacobian via finite differences
    1148:         and coloring

    1150:    Level: beginner

    1152:   Concepts: coloring, sparse Jacobian, finite differences

    1154: .seealso:  MatFDColoringCreate()
    1155: S*/
    1156: typedef struct _p_MatFDColoring* MatFDColoring;

    1158: PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
    1159: PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring*);
    1160: PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring,PetscViewer);
    1161: PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring,PetscErrorCode (*)(void),void*);
    1162: PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring,PetscErrorCode (**)(void),void**);
    1163: PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
    1164: PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
    1165: PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat,MatFDColoring,Vec,void *);
    1166: PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring,Vec);
    1167: PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring,PetscInt*,PetscInt*[]);
    1168: PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat,ISColoring,MatFDColoring);
    1169: PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring,PetscInt,PetscInt);

    1172: /*S
    1173:      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring

    1175:    Level: beginner

    1177:   Concepts: coloring, sparse matrix product

    1179: .seealso:  MatTransposeColoringCreate()
    1180: S*/
    1181: typedef struct _p_MatTransposeColoring* MatTransposeColoring;

    1183: PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat,ISColoring,MatTransposeColoring *);
    1184: PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring,Mat,Mat);
    1185: PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring,Mat,Mat);
    1186: PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring*);

    1188: /*
    1189:     These routines are for partitioning matrices: currently used only
    1190:   for adjacency matrix, MatCreateMPIAdj().
    1191: */

    1193: /*S
    1194:      MatPartitioning - Object for managing the partitioning of a matrix or graph

    1196:    Level: beginner

    1198:   Concepts: partitioning

    1200: .seealso:  MatPartitioningCreate(), MatPartitioningType
    1201: S*/
    1202: typedef struct _p_MatPartitioning* MatPartitioning;

    1204: /*J
    1205:     MatPartitioningType - String with the name of a PETSc matrix partitioning

    1207:    Level: beginner
    1208: dm
    1209: .seealso: MatPartitioningCreate(), MatPartitioning
    1210: J*/
    1211: typedef const char* MatPartitioningType;
    1212: #define MATPARTITIONINGCURRENT  "current"
    1213: #define MATPARTITIONINGAVERAGE   "average"
    1214: #define MATPARTITIONINGSQUARE   "square"
    1215: #define MATPARTITIONINGPARMETIS "parmetis"
    1216: #define MATPARTITIONINGCHACO    "chaco"
    1217: #define MATPARTITIONINGPARTY    "party"
    1218: #define MATPARTITIONINGPTSCOTCH "ptscotch"
    1219: #define MATPARTITIONINGHIERARCH  "hierarch"

    1222: PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm,MatPartitioning*);
    1223: PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning,MatPartitioningType);
    1224: PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning,PetscInt);
    1225: PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning,Mat);
    1226: PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning,const PetscInt[]);
    1227: PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
    1228: PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning,IS*);
    1229: PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning*);

    1231: PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[],PetscErrorCode (*)(MatPartitioning));

    1235: PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning,PetscViewer);
    1236: PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
    1237: PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning,MatPartitioningType*);

    1239: PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetRepartition(MatPartitioning part);
    1240: PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
    1241: PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);

    1243: typedef enum { MP_CHACO_MULTILEVEL=1,MP_CHACO_SPECTRAL=2,MP_CHACO_LINEAR=4,MP_CHACO_RANDOM=5,MP_CHACO_SCATTERED=6 } MPChacoGlobalType;
    1244: PETSC_EXTERN const char *const MPChacoGlobalTypes[];
    1245: typedef enum { MP_CHACO_KERNIGHAN=1,MP_CHACO_NONE=2 } MPChacoLocalType;
    1246: PETSC_EXTERN const char *const MPChacoLocalTypes[];
    1247: typedef enum { MP_CHACO_LANCZOS=0,MP_CHACO_RQI=1 } MPChacoEigenType;
    1248: PETSC_EXTERN const char *const MPChacoEigenTypes[];

    1250: PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning,MPChacoGlobalType);
    1251: PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning,MPChacoGlobalType*);
    1252: PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning,MPChacoLocalType);
    1253: PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning,MPChacoLocalType*);
    1254: PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning,PetscReal);
    1255: PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning,MPChacoEigenType);
    1256: PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning,MPChacoEigenType*);
    1257: PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning,PetscReal);
    1258: PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning,PetscReal*);
    1259: PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning,PetscInt);
    1260: PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning,PetscInt*);

    1262: #define MP_PARTY_OPT "opt"
    1263: #define MP_PARTY_LIN "lin"
    1264: #define MP_PARTY_SCA "sca"
    1265: #define MP_PARTY_RAN "ran"
    1266: #define MP_PARTY_GBF "gbf"
    1267: #define MP_PARTY_GCF "gcf"
    1268: #define MP_PARTY_BUB "bub"
    1269: #define MP_PARTY_DEF "def"
    1270: PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning,const char*);
    1271: #define MP_PARTY_HELPFUL_SETS "hs"
    1272: #define MP_PARTY_KERNIGHAN_LIN "kl"
    1273: #define MP_PARTY_NONE "no"
    1274: PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning,const char*);
    1275: PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning,PetscReal);
    1276: PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning,PetscBool);
    1277: PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning,PetscBool);

    1279: typedef enum { MP_PTSCOTCH_QUALITY,MP_PTSCOTCH_SPEED,MP_PTSCOTCH_BALANCE,MP_PTSCOTCH_SAFETY,MP_PTSCOTCH_SCALABILITY } MPPTScotchStrategyType;
    1280: PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];

    1282: PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning,PetscReal);
    1283: PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning,PetscReal*);
    1284: PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning,MPPTScotchStrategyType);
    1285: PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning,MPPTScotchStrategyType*);

    1287: /*
    1288:  * hierarchical partitioning
    1289:  */
    1290: PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetFineparts(MatPartitioning,IS*);
    1291: PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetCoarseparts(MatPartitioning,IS*);
    1292: PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNcoarseparts(MatPartitioning,PetscInt);
    1293: PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNfineparts(MatPartitioning, PetscInt);

    1295: /*
    1296:     These routines are for coarsening matrices:
    1297: */

    1299: /*S
    1300:      MatCoarsen - Object for managing the coarsening of a graph (symmetric matrix)

    1302:    Level: beginner

    1304:   Concepts: coarsen

    1306: .seealso:  MatCoarsenCreate), MatCoarsenType
    1307: S*/
    1308: typedef struct _p_MatCoarsen* MatCoarsen;

    1310: /*J
    1311:     MatCoarsenType - String with the name of a PETSc matrix coarsen

    1313:    Level: beginner

    1315: .seealso: MatCoarsenCreate(), MatCoarsen
    1316: J*/
    1317: typedef const char* MatCoarsenType;
    1318: #define MATCOARSENMIS  "mis"
    1319: #define MATCOARSENHEM  "hem"

    1321: /* linked list for aggregates */
    1322: typedef struct _PetscCDIntNd{
    1323:   struct _PetscCDIntNd *next;
    1324:   PetscInt             gid;
    1325: }PetscCDIntNd;

    1327: /* only used by node pool */
    1328: typedef struct _PetscCDArrNd{
    1329:   struct _PetscCDArrNd *next;
    1330:   struct _PetscCDIntNd *array;
    1331: }PetscCDArrNd;

    1333: typedef struct _PetscCoarsenData{
    1334:   PetscCDArrNd pool_list;  /* node pool */
    1335:   PetscCDIntNd *new_node;
    1336:   PetscInt     new_left;
    1337:   PetscInt     chk_sz;
    1338:   PetscCDIntNd *extra_nodes;
    1339:   PetscCDIntNd **array;  /* Array of lists */
    1340:   PetscInt     size;
    1341:   Mat          mat;  /* cache a Mat for communication data */
    1342: }PetscCoarsenData;

    1344: PETSC_EXTERN PetscErrorCode MatCoarsenCreate(MPI_Comm,MatCoarsen*);
    1345: PETSC_EXTERN PetscErrorCode MatCoarsenSetType(MatCoarsen,MatCoarsenType);
    1346: PETSC_EXTERN PetscErrorCode MatCoarsenSetAdjacency(MatCoarsen,Mat);
    1347: PETSC_EXTERN PetscErrorCode MatCoarsenSetGreedyOrdering(MatCoarsen,const IS);
    1348: PETSC_EXTERN PetscErrorCode MatCoarsenSetStrictAggs(MatCoarsen,PetscBool);
    1349: PETSC_EXTERN PetscErrorCode MatCoarsenGetData( MatCoarsen, PetscCoarsenData ** );
    1350: PETSC_EXTERN PetscErrorCode MatCoarsenApply(MatCoarsen);
    1351: PETSC_EXTERN PetscErrorCode MatCoarsenDestroy(MatCoarsen*);

    1353: PETSC_EXTERN PetscErrorCode MatCoarsenRegister(const char[],PetscErrorCode (*)(MatCoarsen));

    1357: PETSC_EXTERN PetscErrorCode MatCoarsenView(MatCoarsen,PetscViewer);
    1358: PETSC_EXTERN PetscErrorCode MatCoarsenSetFromOptions(MatCoarsen);
    1359: PETSC_EXTERN PetscErrorCode MatCoarsenGetType(MatCoarsen,MatCoarsenType*);
    1360: PETSC_STATIC_INLINE PetscErrorCode MatCoarsenViewFromOptions(MatCoarsen A,PetscObject obj,const char name[]) {return PetscObjectViewFromOptions((PetscObject)A,obj,name);}

    1362: PETSC_EXTERN PetscErrorCode MatMeshToVertexGraph(Mat,PetscInt,Mat*);
    1363: PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat,PetscInt,Mat*);

    1365: /*
    1366:     If you add entries here you must also add them to petsc/finclude/petscmat.h
    1367: */
    1368: typedef enum { MATOP_SET_VALUES=0,
    1369:                MATOP_GET_ROW=1,
    1370:                MATOP_RESTORE_ROW=2,
    1371:                MATOP_MULT=3,
    1372:                MATOP_MULT_ADD=4,
    1373:                MATOP_MULT_TRANSPOSE=5,
    1374:                MATOP_MULT_TRANSPOSE_ADD=6,
    1375:                MATOP_SOLVE=7,
    1376:                MATOP_SOLVE_ADD=8,
    1377:                MATOP_SOLVE_TRANSPOSE=9,
    1378:                MATOP_SOLVE_TRANSPOSE_ADD=10,
    1379:                MATOP_LUFACTOR=11,
    1380:                MATOP_CHOLESKYFACTOR=12,
    1381:                MATOP_SOR=13,
    1382:                MATOP_TRANSPOSE=14,
    1383:                MATOP_GETINFO=15,
    1384:                MATOP_EQUAL=16,
    1385:                MATOP_GET_DIAGONAL=17,
    1386:                MATOP_DIAGONAL_SCALE=18,
    1387:                MATOP_NORM=19,
    1388:                MATOP_ASSEMBLY_BEGIN=20,
    1389:                MATOP_ASSEMBLY_END=21,
    1390:                MATOP_SET_OPTION=22,
    1391:                MATOP_ZERO_ENTRIES=23,
    1392:                MATOP_ZERO_ROWS=24,
    1393:                MATOP_LUFACTOR_SYMBOLIC=25,
    1394:                MATOP_LUFACTOR_NUMERIC=26,
    1395:                MATOP_CHOLESKY_FACTOR_SYMBOLIC=27,
    1396:                MATOP_CHOLESKY_FACTOR_NUMERIC=28,
    1397:                MATOP_SETUP_PREALLOCATION=29,
    1398:                MATOP_ILUFACTOR_SYMBOLIC=30,
    1399:                MATOP_ICCFACTOR_SYMBOLIC=31,
    1400:                /* MATOP_PLACEHOLDER_32=32, */
    1401:                /* MATOP_PLACEHOLDER_33=33, */
    1402:                MATOP_DUPLICATE=34,
    1403:                MATOP_FORWARD_SOLVE=35,
    1404:                MATOP_BACKWARD_SOLVE=36,
    1405:                MATOP_ILUFACTOR=37,
    1406:                MATOP_ICCFACTOR=38,
    1407:                MATOP_AXPY=39,
    1408:                MATOP_GET_SUBMATRICES=40,
    1409:                MATOP_INCREASE_OVERLAP=41,
    1410:                MATOP_GET_VALUES=42,
    1411:                MATOP_COPY=43,
    1412:                MATOP_GET_ROW_MAX=44,
    1413:                MATOP_SCALE=45,
    1414:                MATOP_SHIFT=46,
    1415:                MATOP_DIAGONAL_SET=47,
    1416:                MATOP_ZERO_ROWS_COLUMNS=48,
    1417:                MATOP_SET_RANDOM=49,
    1418:                MATOP_GET_ROW_IJ=50,
    1419:                MATOP_RESTORE_ROW_IJ=51,
    1420:                MATOP_GET_COLUMN_IJ=52,
    1421:                MATOP_RESTORE_COLUMN_IJ=53,
    1422:                MATOP_FDCOLORING_CREATE=54,
    1423:                MATOP_COLORING_PATCH=55,
    1424:                MATOP_SET_UNFACTORED=56,
    1425:                MATOP_PERMUTE=57,
    1426:                MATOP_SET_VALUES_BLOCKED=58,
    1427:                MATOP_GET_SUBMATRIX=59,
    1428:                MATOP_DESTROY=60,
    1429:                MATOP_VIEW=61,
    1430:                MATOP_CONVERT_FROM=62,
    1431:                MATOP_MATMAT_MULT=63,
    1432:                MATOP_MATMAT_MULT_SYMBOLIC=64,
    1433:                MATOP_MATMAT_MULT_NUMERIC=65,
    1434:                MATOP_SET_LOCAL_TO_GLOBAL_MAP=66,
    1435:                MATOP_SET_VALUES_LOCAL=67,
    1436:                MATOP_ZERO_ROWS_LOCAL=68,
    1437:                MATOP_GET_ROW_MAX_ABS=69,
    1438:                MATOP_GET_ROW_MIN_ABS=70,
    1439:                MATOP_CONVERT=71,
    1440:                MATOP_SET_COLORING=72,
    1441:                /* MATOP_PLACEHOLDER_73=73, */
    1442:                MATOP_SET_VALUES_ADIFOR=74,
    1443:                MATOP_FD_COLORING_APPLY=75,
    1444:                MATOP_SET_FROM_OPTIONS=76,
    1445:                MATOP_MULT_CONSTRAINED=77,
    1446:                MATOP_MULT_TRANSPOSE_CONSTRAIN=78,
    1447:                MATOP_FIND_ZERO_DIAGONALS=79,
    1448:                MATOP_MULT_MULTIPLE=80,
    1449:                MATOP_SOLVE_MULTIPLE=81,
    1450:                MATOP_GET_INERTIA=82,
    1451:                MATOP_LOAD=83,
    1452:                MATOP_IS_SYMMETRIC=84,
    1453:                MATOP_IS_HERMITIAN=85,
    1454:                MATOP_IS_STRUCTURALLY_SYMMETRIC=86,
    1455:                MATOP_SET_VALUES_BLOCKEDLOCAL=87,
    1456:                MATOP_GET_VECS=88,
    1457:                MATOP_MAT_MULT=89,
    1458:                MATOP_MAT_MULT_SYMBOLIC=90,
    1459:                MATOP_MAT_MULT_NUMERIC=91,
    1460:                MATOP_PTAP=92,
    1461:                MATOP_PTAP_SYMBOLIC=93,
    1462:                MATOP_PTAP_NUMERIC=94,
    1463:                MATOP_MAT_TRANSPOSE_MULT=95,
    1464:                MATOP_MAT_TRANSPOSE_MULT_SYMBO=96,
    1465:                MATOP_MAT_TRANSPOSE_MULT_NUMER=97,
    1466:                /* MATOP_PLACEHOLDER_98=98, */
    1467:                /* MATOP_PLACEHOLDER_99=99, */
    1468:                /* MATOP_PLACEHOLDER_100=100, */
    1469:                /* MATOP_PLACEHOLDER_101=101, */
    1470:                MATOP_CONJUGATE=102,
    1471:                /* MATOP_PLACEHOLDER_103=103, */
    1472:                MATOP_SET_VALUES_ROW=104,
    1473:                MATOP_REAL_PART=105,
    1474:                MATOP_IMAGINARY_PART=106,
    1475:                MATOP_GET_ROW_UPPER_TRIANGULAR=107,
    1476:                MATOP_RESTORE_ROW_UPPER_TRIANG=108,
    1477:                MATOP_MAT_SOLVE=109,
    1478:                MATOP_GET_REDUNDANT_MATRIX=110,
    1479:                MATOP_GET_ROW_MIN=111,
    1480:                MATOP_GET_COLUMN_VECTOR=112,
    1481:                MATOP_MISSING_DIAGONAL=113,
    1482:                MATOP_GET_SEQ_NONZERO_STRUCTUR=114,
    1483:                MATOP_CREATE=115,
    1484:                MATOP_GET_GHOSTS=116,
    1485:                MATOP_GET_LOCAL_SUB_MATRIX=117,
    1486:                MATOP_RESTORE_LOCALSUB_MATRIX=118,
    1487:                MATOP_MULT_DIAGONAL_BLOCK=119,
    1488:                MATOP_HERMITIAN_TRANSPOSE=120,
    1489:                MATOP_MULT_HERMITIAN_TRANSPOSE=121,
    1490:                MATOP_MULT_HERMITIAN_TRANS_ADD=122,
    1491:                MATOP_GET_MULTI_PROC_BLOCK=123,
    1492:                MATOP_FIND_NONZERO_ROWS=124,
    1493:                MATOP_GET_COLUMN_NORMS=125,
    1494:                MATOP_INVERT_BLOCK_DIAGONAL=126,
    1495:                /* MATOP_PLACEHOLDER_127=127, */
    1496:                MATOP_GET_SUB_MATRICES_PARALLE=128,
    1497:                MATOP_SET_VALUES_BATCH=129,
    1498:                MATOP_TRANSPOSE_MAT_MULT=130,
    1499:                MATOP_TRANSPOSE_MAT_MULT_SYMBO=131,
    1500:                MATOP_TRANSPOSE_MAT_MULT_NUMER=132,
    1501:                MATOP_TRANSPOSE_COLORING_CREAT=133,
    1502:                MATOP_TRANS_COLORING_APPLY_SPT=134,
    1503:                MATOP_TRANS_COLORING_APPLY_DEN=135,
    1504:                MATOP_RART=136,
    1505:                MATOP_RART_SYMBOLIC=137,
    1506:                MATOP_RART_NUMERIC=138,
    1507:                MATOP_SET_BLOCK_SIZES=139,
    1508:                MATOP_AYPX=140,
    1509:                MATOP_RESIDUAL=141,
    1510:                MATOP_FDCOLORING_SETUP=142,
    1511:                MATOP_MPICONCATENATESEQ=144
    1512:              } MatOperation;
    1513: PETSC_EXTERN PetscErrorCode MatHasOperation(Mat,MatOperation,PetscBool *);
    1514: PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat,MatOperation,void(*)(void));
    1515: PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat,MatOperation,void(**)(void));
    1516: PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat,void*);

    1518: /*
    1519:    Codes for matrices stored on disk. By default they are
    1520:    stored in a universal format. By changing the format with
    1521:    PetscViewerPushFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
    1522:    be stored in a way natural for the matrix, for example dense matrices
    1523:    would be stored as dense. Matrices stored this way may only be
    1524:    read into matrices of the same type.
    1525: */
    1526: #define MATRIX_BINARY_FORMAT_DENSE -1

    1528: PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
    1529: PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat,Mat*);
    1530: PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat,Mat);
    1531: PETSC_EXTERN PetscErrorCode MatISGetMPIXAIJ(Mat,MatReuse,Mat*);

    1533: /*S
    1534:      MatNullSpace - Object that removes a null space from a vector, i.e.
    1535:          orthogonalizes the vector to a subsapce

    1537:    Level: advanced

    1539:   Concepts: matrix; linear operator, null space

    1541:   Users manual sections:
    1542: .   Section 4.19 Solving Singular Systems

    1544: .seealso:  MatNullSpaceCreate()
    1545: S*/
    1546: typedef struct _p_MatNullSpace* MatNullSpace;

    1548: PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm,PetscBool ,PetscInt,const Vec[],MatNullSpace*);
    1549: PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace,PetscErrorCode (*)(MatNullSpace,Vec,void*),void*);
    1550: PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace*);
    1551: PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace,Vec);
    1552: PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
    1553: PETSC_EXTERN PetscErrorCode MatGetTransposeNullSpace(Mat, MatNullSpace *);
    1554: PETSC_EXTERN PetscErrorCode MatSetTransposeNullSpace(Mat,MatNullSpace);
    1555: PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat,MatNullSpace);
    1556: PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat,MatNullSpace);
    1557: PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat,MatNullSpace*);
    1558: PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace,Mat,PetscBool  *);
    1559: PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace,PetscViewer);
    1560: PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace,PetscBool*,PetscInt*,const Vec**);
    1561: PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec,MatNullSpace*);

    1563: PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat,IS);
    1564: PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
    1565: PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat,PetscInt *);
    1566: PETSC_EXTERN PetscErrorCode MatSeqBAIJInvertBlockDiagonal(Mat);

    1568: PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat,PetscInt,Mat*);
    1569: PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat,PetscInt,Mat*);
    1570: PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat,Mat*);

    1572: PETSC_EXTERN PetscErrorCode MatComputeExplicitOperator(Mat,Mat*);

    1574: PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat,Vec);

    1576: PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
    1577: PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat,Vec,Vec);
    1578: PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat,PetscErrorCode(*)(void*,Vec,Vec),void*);
    1579: PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat,PetscErrorCode (*)(void*,PetscInt,Vec,PetscScalar*));
    1580: PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat,PetscErrorCode (*)(void*,Vec));
    1581: PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat,PetscScalar[],PetscInt);
    1582: PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
    1583: PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat,PetscReal);
    1584: PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat,PetscInt);
    1585: PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat,PetscScalar *);
    1586: PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat,const char[]);
    1587: PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void*,Vec,Vec,PetscScalar*);
    1588: PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat,PetscErrorCode (*)(void*,Vec,Vec,PetscScalar*),void*);

    1590: /*S
    1591:     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
    1592:               Jacobian vector products

    1594:     Notes: MATMFFD is a specific MatType which uses the MatMFFD data structure

    1596:            MatMFFD*() methods actually take the Mat as their first argument. Not a MatMFFD data structure

    1598:     Level: developer

    1600: .seealso: MATMFFD, MatCreateMFFD(), MatMFFDSetFuction(), MatMFFDSetType(), MatMFFDRegister()
    1601: S*/
    1602: typedef struct _p_MatMFFD* MatMFFD;

    1604: /*J
    1605:     MatMFFDType - algorithm used to compute the h used in computing matrix-vector products via differencing of the function

    1607:    Level: beginner

    1609: .seealso: MatMFFDSetType(), MatMFFDRegister()
    1610: J*/
    1611: typedef const char* MatMFFDType;
    1612: #define MATMFFD_DS  "ds"
    1613: #define MATMFFD_WP  "wp"

    1615: PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat,MatMFFDType);
    1616: PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[],PetscErrorCode (*)(MatMFFD));

    1618: PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat,PetscReal);
    1619: PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat,PetscBool );

    1621: PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
    1622: PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);

    1624: /*
    1625:    PETSc interface to MUMPS
    1626: */
    1627: #ifdef PETSC_HAVE_MUMPS
    1628: PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat,PetscInt,PetscInt);
    1629: PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat,PetscInt,PetscInt*);
    1630: PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat,PetscInt,PetscReal);
    1631: PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat,PetscInt,PetscReal*);

    1633: PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat,PetscInt,PetscInt*);
    1634: PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat,PetscInt,PetscInt*);
    1635: PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat,PetscInt,PetscReal*);
    1636: PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat,PetscInt,PetscReal*);
    1637: #endif

    1639: /*
    1640:    PETSc interface to Mkl_Pardiso
    1641: */
    1642: #ifdef PETSC_HAVE_MKL_PARDISO
    1643: PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat,PetscInt,PetscInt);
    1644: #endif

    1646: /*
    1647:    PETSc interface to Mkl_CPardiso
    1648: */
    1649: #ifdef PETSC_HAVE_MKL_CPARDISO
    1650: PETSC_EXTERN PetscErrorCode MatMkl_CPardisoSetCntl(Mat,PetscInt,PetscInt);
    1651: #endif

    1653: /*
    1654:    PETSc interface to SUPERLU
    1655: */
    1656: #ifdef PETSC_HAVE_SUPERLU
    1657: PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat,PetscReal);
    1658: #endif

    1660: #ifdef PETSC_HAVE_CUDA
    1661: /*E
    1662:     MatCUSPARSEStorageFormat - indicates the storage format for CUSPARSE (GPU)
    1663:     matrices.

    1665:     Not Collective

    1667: +   MAT_CUSPARSE_CSR - Compressed Sparse Row
    1668: .   MAT_CUSPARSE_ELL - Ellpack (requires CUDA 4.2 or later).
    1669: -   MAT_CUSPARSE_HYB - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).

    1671:     Level: intermediate

    1673:    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h

    1675: .seealso: MatCUSPARSESetFormat(), MatCUSPARSEFormatOperation
    1676: E*/

    1678: typedef enum {MAT_CUSPARSE_CSR, MAT_CUSPARSE_ELL, MAT_CUSPARSE_HYB} MatCUSPARSEStorageFormat;

    1680: /* these will be strings associated with enumerated type defined above */
    1681: PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];

    1683: /*E
    1684:     MatCUSPARSEFormatOperation - indicates the operation of CUSPARSE (GPU)
    1685:     matrices whose operation should use a particular storage format.

    1687:     Not Collective

    1689: +   MAT_CUSPARSE_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
    1690: .   MAT_CUSPARSE_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
    1691: .   MAT_CUSPARSE_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
    1692: -   MAT_CUSPARSE_ALL - sets the storage format for all CUSPARSE (GPU) matrices

    1694:     Level: intermediate

    1696: .seealso: MatCUSPARSESetFormat(), MatCUSPARSEStorageFormat
    1697: E*/
    1698: typedef enum {MAT_CUSPARSE_MULT_DIAG, MAT_CUSPARSE_MULT_OFFDIAG, MAT_CUSPARSE_MULT, MAT_CUSPARSE_ALL} MatCUSPARSEFormatOperation;

    1700: PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
    1701: PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
    1702: PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat,MatCUSPARSEFormatOperation,MatCUSPARSEStorageFormat);
    1703: #endif

    1705: #if defined(PETSC_HAVE_CUSP)
    1706: PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
    1707: PETSC_EXTERN PetscErrorCode MatCreateAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);

    1709: /*E
    1710:     MatCUSPStorageFormat - indicates the storage format for CUSP (GPU)
    1711:     matrices.

    1713:     Not Collective

    1715: +   MAT_CUSP_CSR - Compressed Sparse Row
    1716: .   MAT_CUSP_DIA - Diagonal
    1717: -   MAT_CUSP_ELL - Ellpack

    1719:     Level: intermediate

    1721:    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h

    1723: .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
    1724: E*/
    1725: typedef enum {MAT_CUSP_CSR, MAT_CUSP_DIA, MAT_CUSP_ELL} MatCUSPStorageFormat;

    1727: /* these will be strings associated with enumerated type defined above */
    1728: PETSC_EXTERN const char *const MatCUSPStorageFormats[];

    1730: /*E
    1731:     MatCUSPFormatOperation - indicates the operation of CUSP (GPU)
    1732:     matrices whose operation should use a particular storage format.

    1734:     Not Collective

    1736: +   MAT_CUSP_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
    1737: .   MAT_CUSP_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
    1738: .   MAT_CUSP_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
    1739: -   MAT_CUSP_ALL - sets the storage format for all CUSP (GPU) matrices

    1741:     Level: intermediate

    1743:    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h

    1745: .seealso: MatCUSPSetFormat(), MatCUSPStorageFormat
    1746: E*/
    1747: typedef enum {MAT_CUSP_MULT_DIAG, MAT_CUSP_MULT_OFFDIAG, MAT_CUSP_MULT, MAT_CUSP_ALL} MatCUSPFormatOperation;

    1749: PETSC_EXTERN PetscErrorCode MatCUSPSetFormat(Mat,MatCUSPFormatOperation,MatCUSPStorageFormat);
    1750: #endif

    1752: #if defined(PETSC_HAVE_VIENNACL)
    1753: PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
    1754: PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
    1755: #endif

    1757: /*
    1758:    PETSc interface to FFTW
    1759: */
    1760: #if defined(PETSC_HAVE_FFTW)
    1761: PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat,Vec,Vec);
    1762: PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat,Vec,Vec);
    1763: PETSC_EXTERN PetscErrorCode MatCreateVecsFFTW(Mat,Vec*,Vec*,Vec*);
    1764: #endif

    1766: /*
    1767:    PETSc interface to ELEMENTAL
    1768: */
    1769: #if defined(PETSC_HAVE_ELEMENTAL)
    1770: #if defined(PETSC_USE_COMPLEX)
    1771: typedef El::Complex<PetscReal> PetscElemScalar;
    1772: #else
    1773: typedef PetscScalar PetscElemScalar;
    1774: #endif
    1775: PETSC_EXTERN PetscErrorCode PetscElementalInitializePackage(void);
    1776: PETSC_EXTERN PetscErrorCode PetscElementalFinalizePackage(void);
    1777: #endif

    1779: PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm,PetscInt,const IS[],PetscInt,const IS[],const Mat[],Mat*);
    1780: PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat,PetscInt*,PetscInt*);
    1781: PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat,IS[],IS[]);
    1782: PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat,IS[],IS[]);
    1783: PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat,PetscInt*,PetscInt*,Mat***);
    1784: PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat,PetscInt,PetscInt,Mat*);
    1785: PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat,VecType);
    1786: PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat,PetscInt,const IS[],PetscInt,const IS[],const Mat[]);
    1787: PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat,PetscInt,PetscInt,Mat);

    1789: PETSC_EXTERN PetscErrorCode MatChop(Mat,PetscReal);
    1790: PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat,PetscReal,PetscInt*);

    1792: PETSC_EXTERN PetscErrorCode MatSubdomainsCreateCoalesce(Mat,PetscInt,PetscInt*,IS**);

    1794: PETSC_EXTERN PetscErrorCode MatPreallocatorPreallocate(Mat,PetscBool,Mat);

    1796: #endif