Date: 2015-10-02T22:06:08+00:00

Actual source code: aij.h
petsc-3.6.2 2015-10-02
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      5: #include <petsc/private/matimpl.h>

      7: /*
      8:     Struct header shared by SeqAIJ, SeqBAIJ and SeqSBAIJ matrix formats
      9: */
     10: #define SEQAIJHEADER(datatype)        \
     11:   PetscBool roworiented;              /* if true, row-oriented input, default */ \
     12:   PetscInt  nonew;                    /* 1 don't add new nonzeros, -1 generate error on new */ \
     13:   PetscInt  nounused;                 /* -1 generate error on unused space */ \
     14:   PetscBool singlemalloc;             /* if true a, i, and j have been obtained with one big malloc */ \
     15:   PetscInt  maxnz;                    /* allocated nonzeros */ \
     16:   PetscInt  *imax;                    /* maximum space allocated for each row */ \
     17:   PetscInt  *ilen;                    /* actual length of each row */ \
     18:   PetscBool free_imax_ilen;  \
     19:   PetscInt  reallocs;                 /* number of mallocs done during MatSetValues() \
     20:                                         as more values are set than were prealloced */\
     21:   PetscInt          rmax;             /* max nonzeros in any row */ \
     22:   PetscBool         keepnonzeropattern;   /* keeps matrix structure same in calls to MatZeroRows()*/ \
     23:   PetscBool         ignorezeroentries; \
     24:   PetscBool         free_ij;          /* free the column indices j and row offsets i when the matrix is destroyed */ \
     25:   PetscBool         free_a;           /* free the numerical values when matrix is destroy */ \
     26:   Mat_CompressedRow compressedrow;    /* use compressed row format */                      \
     27:   PetscInt          nz;               /* nonzeros */                                       \
     28:   PetscInt          *i;               /* pointer to beginning of each row */               \
     29:   PetscInt          *j;               /* column values: j + i[k] - 1 is start of row k */  \
     30:   PetscInt          *diag;            /* pointers to diagonal elements */                  \
     31:   PetscInt          nonzerorowcnt;    /* how many rows have nonzero entries */             \
     32:   PetscBool         free_diag;         \
     33:   datatype          *a;               /* nonzero elements */                               \
     34:   PetscScalar       *solve_work;      /* work space used in MatSolve */                    \
     35:   IS                row, col, icol;   /* index sets, used for reorderings */ \
     36:   PetscBool         pivotinblocks;    /* pivot inside factorization of each diagonal block */ \
     37:   Mat               parent             /* set if this matrix was formed with MatDuplicate(...,MAT_SHARE_NONZERO_PATTERN,....);
     38:                                          means that this shares some data structures with the parent including diag, ilen, imax, i, j */

     40: typedef struct {
     41:   MatTransposeColoring matcoloring;
     42:   Mat                  Bt_den;       /* dense matrix of B^T */
     43:   Mat                  ABt_den;      /* dense matrix of A*B^T */
     44:   PetscBool            usecoloring;
     45:   PetscErrorCode (*destroy)(Mat);
     46: } Mat_MatMatTransMult;

     48: typedef struct { /* for MatTransposeMatMult_SeqAIJ_SeqDense() */
     49:   Mat          mA;           /* maij matrix of A */
     50:   Vec          bt,ct;        /* vectors to hold locally transposed arrays of B and C */
     51:   PetscErrorCode (*destroy)(Mat);
     52: } Mat_MatTransMatMult;

     54: typedef struct {
     55:   PetscInt    *api,*apj;       /* symbolic structure of A*P */
     56:   PetscScalar *apa;            /* temporary array for storing one row of A*P */
     57:   PetscErrorCode (*destroy)(Mat);
     58: } Mat_PtAP;

     60: typedef struct {
     61:   MatTransposeColoring matcoloring;
     62:   Mat                  Rt;    /* sparse or dense matrix of R^T */
     63:   Mat                  RARt;  /* dense matrix of R*A*R^T */
     64:   Mat                  ARt;   /* A*R^T used for the case -matrart_color_art */
     65:   MatScalar            *work; /* work array to store columns of A*R^T used in MatMatMatMultNumeric_SeqAIJ_SeqAIJ_SeqDense() */
     66:   PetscErrorCode (*destroy)(Mat);
     67: } Mat_RARt;

     69: typedef struct {
     70:   Mat BC;               /* temp matrix for storing B*C */
     71:   PetscErrorCode (*destroy)(Mat);
     72: } Mat_MatMatMatMult;

     74: /*
     75:   MATSEQAIJ format - Compressed row storage (also called Yale sparse matrix
     76:   format) or compressed sparse row (CSR).  The i[] and j[] arrays start at 0. For example,
     77:   j[i[k]+p] is the pth column in row k.  Note that the diagonal
     78:   matrix elements are stored with the rest of the nonzeros (not separately).
     79: */

     81: /* Info about i-nodes (identical nodes) helper class for SeqAIJ */
     82: typedef struct {
     83:   MatScalar        *bdiag,*ibdiag,*ssor_work;        /* diagonal blocks of matrix used for MatSOR_SeqAIJ_Inode() */
     84:   PetscInt         bdiagsize;                         /* length of bdiag and ibdiag */
     85:   PetscBool        ibdiagvalid;                       /* do ibdiag[] and bdiag[] contain the most recent values */

     87:   PetscBool        use;
     88:   PetscInt         node_count;                     /* number of inodes */
     89:   PetscInt         *size;                          /* size of each inode */
     90:   PetscInt         limit;                          /* inode limit */
     91:   PetscInt         max_limit;                      /* maximum supported inode limit */
     92:   PetscBool        checked;                        /* if inodes have been checked for */
     93:   PetscObjectState mat_nonzerostate;               /* non-zero state when inodes were checked for */
     94: } Mat_SeqAIJ_Inode;

     96: PETSC_INTERN PetscErrorCode MatView_SeqAIJ_Inode(Mat,PetscViewer);
     97: PETSC_INTERN PetscErrorCode MatAssemblyEnd_SeqAIJ_Inode(Mat,MatAssemblyType);
     98: PETSC_INTERN PetscErrorCode MatDestroy_SeqAIJ_Inode(Mat);
     99: PETSC_INTERN PetscErrorCode MatCreate_SeqAIJ_Inode(Mat);
    100: PETSC_INTERN PetscErrorCode MatSetOption_SeqAIJ_Inode(Mat,MatOption,PetscBool);
    101: PETSC_INTERN PetscErrorCode MatDuplicate_SeqAIJ_Inode(Mat,MatDuplicateOption,Mat*);
    102: PETSC_INTERN PetscErrorCode MatDuplicateNoCreate_SeqAIJ(Mat,Mat,MatDuplicateOption,PetscBool);
    103: PETSC_INTERN PetscErrorCode MatLUFactorNumeric_SeqAIJ_Inode_inplace(Mat,Mat,const MatFactorInfo*);
    104: PETSC_INTERN PetscErrorCode MatLUFactorNumeric_SeqAIJ_Inode(Mat,Mat,const MatFactorInfo*);

    106: typedef struct {
    107:   SEQAIJHEADER(MatScalar);
    108:   Mat_SeqAIJ_Inode inode;
    109:   MatScalar        *saved_values;             /* location for stashing nonzero values of matrix */

    111:   PetscScalar *idiag,*mdiag,*ssor_work;       /* inverse of diagonal entries, diagonal values and workspace for Eisenstat trick */
    112:   PetscBool   idiagvalid;                     /* current idiag[] and mdiag[] are valid */
    113:   PetscScalar *ibdiag;                        /* inverses of block diagonals */
    114:   PetscBool   ibdiagvalid;                    /* inverses of block diagonals are valid. */
    115:   PetscScalar fshift,omega;                   /* last used omega and fshift */

    117:   ISColoring coloring;                        /* set with MatADSetColoring() used by MatADSetValues() */

    119:   PetscScalar       *matmult_abdense;    /* used by MatMatMult() */
    120:   Mat_PtAP          *ptap;               /* used by MatPtAP() */
    121:   Mat_MatMatMatMult *matmatmatmult;      /* used by MatMatMatMult() */
    122:   Mat_RARt          *rart;               /* used by MatRARt() */
    123:   Mat_MatMatTransMult *abt;              /* used by MatMatTransposeMult() */
    124: } Mat_SeqAIJ;

    126: /*
    127:   Frees the a, i, and j arrays from the XAIJ (AIJ, BAIJ, and SBAIJ) matrix types
    128: */
    131: PETSC_STATIC_INLINE PetscErrorCode MatSeqXAIJFreeAIJ(Mat AA,MatScalar **a,PetscInt **j,PetscInt **i)
    132: {
    134:   Mat_SeqAIJ     *A = (Mat_SeqAIJ*) AA->data;
    135:   if (A->singlemalloc) {
    136:     PetscFree3(*a,*j,*i);
    137:   } else {
    138:     if (A->free_a)  {PetscFree(*a);}
    139:     if (A->free_ij) {PetscFree(*j);}
    140:     if (A->free_ij) {PetscFree(*i);}
    141:   }
    142:   return 0;
    143: }
    144: /*
    145:     Allocates larger a, i, and j arrays for the XAIJ (AIJ, BAIJ, and SBAIJ) matrix types
    146:     This is a macro because it takes the datatype as an argument which can be either a Mat or a MatScalar
    147: */
    148: #define MatSeqXAIJReallocateAIJ(Amat,AM,BS2,NROW,ROW,COL,RMAX,AA,AI,AJ,RP,AP,AIMAX,NONEW,datatype) \
    149:   if (NROW >= RMAX) { \
    150:     Mat_SeqAIJ *Ain = (Mat_SeqAIJ*)Amat->data; \
    151:     /* there is no extra room in row, therefore enlarge */ \
    152:     PetscInt CHUNKSIZE = 15,new_nz = AI[AM] + CHUNKSIZE,len,*new_i=0,*new_j=0; \
    153:     datatype *new_a; \
    154:  \
    155:     if (NONEW == -2) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"New nonzero at (%D,%D) caused a malloc\nUse MatSetOption(A, MAT_NEW_NONZERO_ALLOCATION_ERR, PETSC_FALSE) to turn off this check",ROW,COL); \
    156:     /* malloc new storage space */ \
    157:     PetscMalloc3(BS2*new_nz,&new_a,new_nz,&new_j,AM+1,&new_i); \
    158:  \
    159:     /* copy over old data into new slots */ \
    160:     for (ii=0; ii<ROW+1; ii++) {new_i[ii] = AI[ii];} \
    161:     for (ii=ROW+1; ii<AM+1; ii++) {new_i[ii] = AI[ii]+CHUNKSIZE;} \
    162:     PetscMemcpy(new_j,AJ,(AI[ROW]+NROW)*sizeof(PetscInt)); \
    163:     len  = (new_nz - CHUNKSIZE - AI[ROW] - NROW); \
    164:     PetscMemcpy(new_j+AI[ROW]+NROW+CHUNKSIZE,AJ+AI[ROW]+NROW,len*sizeof(PetscInt)); \
    165:     PetscMemcpy(new_a,AA,BS2*(AI[ROW]+NROW)*sizeof(datatype)); \
    166:     PetscMemzero(new_a+BS2*(AI[ROW]+NROW),BS2*CHUNKSIZE*sizeof(datatype)); \
    167:     PetscMemcpy(new_a+BS2*(AI[ROW]+NROW+CHUNKSIZE),AA+BS2*(AI[ROW]+NROW),BS2*len*sizeof(datatype));  \
    168:     /* free up old matrix storage */ \
    169:     MatSeqXAIJFreeAIJ(A,&Ain->a,&Ain->j,&Ain->i); \
    170:     AA                = new_a; \
    171:     Ain->a            = (MatScalar*) new_a;                   \
    172:     AI                = Ain->i = new_i; AJ = Ain->j = new_j;  \
    173:     Ain->singlemalloc = PETSC_TRUE; \
    174:  \
    175:     RP          = AJ + AI[ROW]; AP = AA + BS2*AI[ROW]; \
    176:     RMAX        = AIMAX[ROW] = AIMAX[ROW] + CHUNKSIZE; \
    177:     Ain->maxnz += BS2*CHUNKSIZE; \
    178:     Ain->reallocs++; \
    179:   } \

    182: PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation_SeqAIJ(Mat,PetscInt,const PetscInt*);
    183: PETSC_INTERN PetscErrorCode MatILUFactorSymbolic_SeqAIJ_inplace(Mat,Mat,IS,IS,const MatFactorInfo*);
    184: PETSC_INTERN PetscErrorCode MatILUFactorSymbolic_SeqAIJ(Mat,Mat,IS,IS,const MatFactorInfo*);
    185: PETSC_INTERN PetscErrorCode MatILUFactorSymbolic_SeqAIJ_ilu0(Mat,Mat,IS,IS,const MatFactorInfo*);

    187: PETSC_INTERN PetscErrorCode MatICCFactorSymbolic_SeqAIJ_inplace(Mat,Mat,IS,const MatFactorInfo*);
    188: PETSC_INTERN PetscErrorCode MatICCFactorSymbolic_SeqAIJ(Mat,Mat,IS,const MatFactorInfo*);
    189: PETSC_INTERN PetscErrorCode MatCholeskyFactorSymbolic_SeqAIJ_inplace(Mat,Mat,IS,const MatFactorInfo*);
    190: PETSC_INTERN PetscErrorCode MatCholeskyFactorSymbolic_SeqAIJ(Mat,Mat,IS,const MatFactorInfo*);
    191: PETSC_INTERN PetscErrorCode MatCholeskyFactorNumeric_SeqAIJ_inplace(Mat,Mat,const MatFactorInfo*);
    192: PETSC_INTERN PetscErrorCode MatCholeskyFactorNumeric_SeqAIJ(Mat,Mat,const MatFactorInfo*);
    193: PETSC_INTERN PetscErrorCode MatDuplicate_SeqAIJ(Mat,MatDuplicateOption,Mat*);
    194: PETSC_INTERN PetscErrorCode MatCopy_SeqAIJ(Mat,Mat,MatStructure);
    195: PETSC_INTERN PetscErrorCode MatMissingDiagonal_SeqAIJ(Mat,PetscBool*,PetscInt*);
    196: PETSC_INTERN PetscErrorCode MatMarkDiagonal_SeqAIJ(Mat);
    197: PETSC_INTERN PetscErrorCode MatFindZeroDiagonals_SeqAIJ_Private(Mat,PetscInt*,PetscInt**);

    199: PETSC_INTERN PetscErrorCode MatMult_SeqAIJ(Mat A,Vec,Vec);
    200: PETSC_INTERN PetscErrorCode MatMultAdd_SeqAIJ(Mat A,Vec,Vec,Vec);
    201: PETSC_INTERN PetscErrorCode MatMultTranspose_SeqAIJ(Mat A,Vec,Vec);
    202: PETSC_INTERN PetscErrorCode MatMultTransposeAdd_SeqAIJ(Mat A,Vec,Vec,Vec);
    203: PETSC_INTERN PetscErrorCode MatSOR_SeqAIJ(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);

    205: PETSC_INTERN PetscErrorCode MatSetOption_SeqAIJ(Mat,MatOption,PetscBool);
    206: PETSC_INTERN PetscErrorCode MatSetColoring_SeqAIJ(Mat,ISColoring);
    207: PETSC_INTERN PetscErrorCode MatSetValuesAdifor_SeqAIJ(Mat,PetscInt,void*);

    209: PETSC_INTERN PetscErrorCode MatGetSymbolicTranspose_SeqAIJ(Mat,PetscInt *[],PetscInt *[]);
    210: PETSC_INTERN PetscErrorCode MatGetSymbolicTransposeReduced_SeqAIJ(Mat,PetscInt,PetscInt,PetscInt *[],PetscInt *[]);
    211: PETSC_INTERN PetscErrorCode MatRestoreSymbolicTranspose_SeqAIJ(Mat,PetscInt *[],PetscInt *[]);
    212: PETSC_INTERN PetscErrorCode MatTransposeSymbolic_SeqAIJ(Mat,Mat*);
    213: PETSC_INTERN PetscErrorCode MatTranspose_SeqAIJ(Mat,MatReuse,Mat*);
    214: PETSC_INTERN PetscErrorCode MatToSymmetricIJ_SeqAIJ(PetscInt,PetscInt*,PetscInt*,PetscInt,PetscInt,PetscInt**,PetscInt**);
    215: PETSC_INTERN PetscErrorCode MatLUFactorSymbolic_SeqAIJ_inplace(Mat,Mat,IS,IS,const MatFactorInfo*);
    216: PETSC_INTERN PetscErrorCode MatLUFactorSymbolic_SeqAIJ(Mat,Mat,IS,IS,const MatFactorInfo*);
    217: PETSC_INTERN PetscErrorCode MatLUFactorNumeric_SeqAIJ_inplace(Mat,Mat,const MatFactorInfo*);
    218: PETSC_INTERN PetscErrorCode MatLUFactorNumeric_SeqAIJ(Mat,Mat,const MatFactorInfo*);
    219: PETSC_INTERN PetscErrorCode MatLUFactorNumeric_SeqAIJ_InplaceWithPerm(Mat,Mat,const MatFactorInfo*);
    220: PETSC_INTERN PetscErrorCode MatLUFactor_SeqAIJ(Mat,IS,IS,const MatFactorInfo*);
    221: PETSC_INTERN PetscErrorCode MatSolve_SeqAIJ_inplace(Mat,Vec,Vec);
    222: PETSC_INTERN PetscErrorCode MatSolve_SeqAIJ(Mat,Vec,Vec);
    223: PETSC_INTERN PetscErrorCode MatSolve_SeqAIJ_Inode_inplace(Mat,Vec,Vec);
    224: PETSC_INTERN PetscErrorCode MatSolve_SeqAIJ_Inode(Mat,Vec,Vec);
    225: PETSC_INTERN PetscErrorCode MatSolve_SeqAIJ_NaturalOrdering_inplace(Mat,Vec,Vec);
    226: PETSC_INTERN PetscErrorCode MatSolve_SeqAIJ_NaturalOrdering(Mat,Vec,Vec);
    227: PETSC_INTERN PetscErrorCode MatSolve_SeqAIJ_InplaceWithPerm(Mat,Vec,Vec);
    228: PETSC_INTERN PetscErrorCode MatSolveAdd_SeqAIJ_inplace(Mat,Vec,Vec,Vec);
    229: PETSC_INTERN PetscErrorCode MatSolveAdd_SeqAIJ(Mat,Vec,Vec,Vec);
    230: PETSC_INTERN PetscErrorCode MatSolveTranspose_SeqAIJ_inplace(Mat,Vec,Vec);
    231: PETSC_INTERN PetscErrorCode MatSolveTranspose_SeqAIJ(Mat,Vec,Vec);
    232: PETSC_INTERN PetscErrorCode MatSolveTransposeAdd_SeqAIJ_inplace(Mat,Vec,Vec,Vec);
    233: PETSC_INTERN PetscErrorCode MatSolveTransposeAdd_SeqAIJ(Mat,Vec,Vec,Vec);
    234: PETSC_INTERN PetscErrorCode MatMatSolve_SeqAIJ_inplace(Mat,Mat,Mat);
    235: PETSC_INTERN PetscErrorCode MatMatSolve_SeqAIJ(Mat,Mat,Mat);
    236: PETSC_INTERN PetscErrorCode MatEqual_SeqAIJ(Mat,Mat,PetscBool*);
    237: PETSC_INTERN PetscErrorCode MatFDColoringCreate_SeqXAIJ(Mat,ISColoring,MatFDColoring);
    238: PETSC_INTERN PetscErrorCode MatFDColoringSetUp_SeqXAIJ(Mat,ISColoring,MatFDColoring);
    239: PETSC_INTERN PetscErrorCode MatFDColoringSetUpBlocked_AIJ_Private(Mat,MatFDColoring,PetscInt);
    240: PETSC_INTERN PetscErrorCode MatFDColoringApply_AIJ(Mat,MatFDColoring,Vec,void*);
    241: PETSC_INTERN PetscErrorCode MatLoad_SeqAIJ(Mat,PetscViewer);
    242: PETSC_INTERN PetscErrorCode RegisterApplyPtAPRoutines_Private(Mat);

    244: PETSC_INTERN PetscErrorCode MatMatMult_SeqAIJ_SeqAIJ(Mat,Mat,MatReuse,PetscReal,Mat*);
    245: PETSC_INTERN PetscErrorCode MatMatMultSymbolic_SeqAIJ_SeqAIJ(Mat,Mat,PetscReal,Mat*);
    246: PETSC_INTERN PetscErrorCode MatMatMultSymbolic_SeqAIJ_SeqAIJ_Scalable(Mat,Mat,PetscReal,Mat*);
    247: PETSC_INTERN PetscErrorCode MatMatMultSymbolic_SeqAIJ_SeqAIJ_Scalable_fast(Mat,Mat,PetscReal,Mat*);
    248: PETSC_INTERN PetscErrorCode MatMatMultSymbolic_SeqAIJ_SeqAIJ_Heap(Mat,Mat,PetscReal,Mat*);
    249: PETSC_INTERN PetscErrorCode MatMatMultSymbolic_SeqAIJ_SeqAIJ_BTHeap(Mat,Mat,PetscReal,Mat*);
    250: PETSC_INTERN PetscErrorCode MatMatMultNumeric_SeqAIJ_SeqAIJ(Mat,Mat,Mat);
    251: PETSC_INTERN PetscErrorCode MatMatMultNumeric_SeqAIJ_SeqAIJ_Scalable(Mat,Mat,Mat);

    253: PETSC_INTERN PetscErrorCode MatPtAP_SeqAIJ_SeqAIJ(Mat,Mat,MatReuse,PetscReal,Mat*);
    254: PETSC_INTERN PetscErrorCode MatPtAPSymbolic_SeqAIJ_SeqAIJ_DenseAxpy(Mat,Mat,PetscReal,Mat*);
    255: PETSC_INTERN PetscErrorCode MatPtAPSymbolic_SeqAIJ_SeqAIJ_SparseAxpy(Mat,Mat,PetscReal,Mat*);
    256: PETSC_INTERN PetscErrorCode MatPtAPNumeric_SeqAIJ_SeqAIJ(Mat,Mat,Mat);
    257: PETSC_INTERN PetscErrorCode MatPtAPNumeric_SeqAIJ_SeqAIJ_SparseAxpy(Mat,Mat,Mat);

    259: PETSC_INTERN PetscErrorCode MatRARtSymbolic_SeqAIJ_SeqAIJ(Mat,Mat,PetscReal,Mat*);
    260: PETSC_INTERN PetscErrorCode MatRARtSymbolic_SeqAIJ_SeqAIJ_matmattransposemult(Mat,Mat,PetscReal,Mat*);
    261: PETSC_INTERN PetscErrorCode MatRARtSymbolic_SeqAIJ_SeqAIJ_colorrart(Mat,Mat,PetscReal,Mat*);
    262: PETSC_INTERN PetscErrorCode MatRARtNumeric_SeqAIJ_SeqAIJ(Mat,Mat,Mat);
    263: PETSC_INTERN PetscErrorCode MatRARtNumeric_SeqAIJ_SeqAIJ_matmattransposemult(Mat,Mat,Mat);
    264: PETSC_INTERN PetscErrorCode MatRARtNumeric_SeqAIJ_SeqAIJ_colorrart(Mat,Mat,Mat);

    266: PETSC_INTERN PetscErrorCode MatTransposeMatMult_SeqAIJ_SeqAIJ(Mat,Mat,MatReuse,PetscReal,Mat*);
    267: PETSC_INTERN PetscErrorCode MatTransposeMatMultSymbolic_SeqAIJ_SeqAIJ(Mat,Mat,PetscReal,Mat*);
    268: PETSC_INTERN PetscErrorCode MatTransposeMatMultNumeric_SeqAIJ_SeqAIJ(Mat,Mat,Mat);

    270: PETSC_INTERN PetscErrorCode MatTransposeMatMult_SeqAIJ_SeqDense(Mat,Mat,MatReuse,PetscReal,Mat*);
    271: PETSC_INTERN PetscErrorCode MatTransposeMatMultSymbolic_SeqAIJ_SeqDense(Mat,Mat,PetscReal,Mat*);
    272: PETSC_INTERN PetscErrorCode MatTransposeMatMultNumeric_SeqAIJ_SeqDense(Mat,Mat,Mat);

    274: PETSC_INTERN PetscErrorCode MatMatTransposeMult_SeqAIJ_SeqAIJ(Mat,Mat,MatReuse,PetscReal,Mat*);
    275: PETSC_INTERN PetscErrorCode MatMatTransposeMultSymbolic_SeqAIJ_SeqAIJ(Mat,Mat,PetscReal,Mat*);
    276: PETSC_INTERN PetscErrorCode MatMatTransposeMultNumeric_SeqAIJ_SeqAIJ(Mat,Mat,Mat);
    277: PETSC_INTERN PetscErrorCode MatTransposeColoringCreate_SeqAIJ(Mat,ISColoring,MatTransposeColoring);
    278: PETSC_INTERN PetscErrorCode MatTransColoringApplySpToDen_SeqAIJ(MatTransposeColoring,Mat,Mat);
    279: PETSC_INTERN PetscErrorCode MatTransColoringApplyDenToSp_SeqAIJ(MatTransposeColoring,Mat,Mat);

    281: PETSC_INTERN PetscErrorCode MatMatMatMult_SeqAIJ_SeqAIJ_SeqAIJ(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
    282: PETSC_INTERN PetscErrorCode MatMatMatMultSymbolic_SeqAIJ_SeqAIJ_SeqAIJ(Mat,Mat,Mat,PetscReal,Mat*);
    283: PETSC_INTERN PetscErrorCode MatMatMatMultNumeric_SeqAIJ_SeqAIJ_SeqAIJ(Mat,Mat,Mat,Mat);

    285: PETSC_INTERN PetscErrorCode MatSetValues_SeqAIJ(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
    286: PETSC_INTERN PetscErrorCode MatGetRow_SeqAIJ(Mat,PetscInt,PetscInt*,PetscInt**,PetscScalar**);
    287: PETSC_INTERN PetscErrorCode MatRestoreRow_SeqAIJ(Mat,PetscInt,PetscInt*,PetscInt**,PetscScalar**);
    288: PETSC_INTERN PetscErrorCode MatAXPY_SeqAIJ(Mat,PetscScalar,Mat,MatStructure);
    289: PETSC_INTERN PetscErrorCode MatGetRowIJ_SeqAIJ(Mat,PetscInt,PetscBool,PetscBool,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool*);
    290: PETSC_INTERN PetscErrorCode MatRestoreRowIJ_SeqAIJ(Mat,PetscInt,PetscBool,PetscBool,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool*);
    291: PETSC_INTERN PetscErrorCode MatGetColumnIJ_SeqAIJ(Mat,PetscInt,PetscBool,PetscBool,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool*);
    292: PETSC_INTERN PetscErrorCode MatRestoreColumnIJ_SeqAIJ(Mat,PetscInt,PetscBool,PetscBool,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool*);
    293: PETSC_INTERN PetscErrorCode MatGetColumnIJ_SeqAIJ_Color(Mat,PetscInt,PetscBool,PetscBool,PetscInt*,const PetscInt *[],const PetscInt *[],PetscInt *[],PetscBool*);
    294: PETSC_INTERN PetscErrorCode MatRestoreColumnIJ_SeqAIJ_Color(Mat,PetscInt,PetscBool,PetscBool,PetscInt*,const PetscInt *[],const PetscInt *[],PetscInt *[],PetscBool*);
    295: PETSC_INTERN PetscErrorCode MatDestroy_SeqAIJ(Mat);
    296: PETSC_INTERN PetscErrorCode MatSetUp_SeqAIJ(Mat);
    297: PETSC_INTERN PetscErrorCode MatView_SeqAIJ(Mat,PetscViewer);

    299: PETSC_INTERN PetscErrorCode MatSeqAIJInvalidateDiagonal(Mat);
    300: PETSC_INTERN PetscErrorCode MatSeqAIJInvalidateDiagonal_Inode(Mat);
    301: PETSC_INTERN PetscErrorCode MatSeqAIJCheckInode(Mat);
    302: PETSC_INTERN PetscErrorCode MatSeqAIJCheckInode_FactorLU(Mat);

    304: PETSC_INTERN PetscErrorCode MatAXPYGetPreallocation_SeqAIJ(Mat,Mat,PetscInt*);

    306: PETSC_EXTERN PetscErrorCode MatConvert_SeqAIJ_SeqSBAIJ(Mat,MatType,MatReuse,Mat*);
    307: PETSC_EXTERN PetscErrorCode MatConvert_SeqAIJ_SeqBAIJ(Mat,MatType,MatReuse,Mat*);
    308: PETSC_EXTERN PetscErrorCode MatConvert_SeqAIJ_SeqAIJPERM(Mat,MatType,MatReuse,Mat*);
    309: PETSC_INTERN PetscErrorCode MatReorderForNonzeroDiagonal_SeqAIJ(Mat,PetscReal,IS,IS);
    310: PETSC_INTERN PetscErrorCode MatMatMult_SeqDense_SeqAIJ(Mat,Mat,MatReuse,PetscReal,Mat*);
    311: PETSC_INTERN PetscErrorCode MatRARt_SeqAIJ_SeqAIJ(Mat,Mat,MatReuse,PetscReal,Mat*);
    312: PETSC_EXTERN PetscErrorCode MatCreate_SeqAIJ(Mat);
    313: PETSC_INTERN PetscErrorCode MatAssemblyEnd_SeqAIJ(Mat,MatAssemblyType);
    314: PETSC_INTERN PetscErrorCode MatDestroy_SeqAIJ(Mat);

    316: PETSC_INTERN PetscErrorCode MatAXPYGetPreallocation_SeqX_private(PetscInt,const PetscInt*,const PetscInt*,const PetscInt*,const PetscInt*,PetscInt*);
    317: PETSC_INTERN PetscErrorCode MatCreateMPIMatConcatenateSeqMat_SeqAIJ(MPI_Comm,Mat,PetscInt,MatReuse,Mat*);
    318: PETSC_INTERN PetscErrorCode MatCreateMPIMatConcatenateSeqMat_MPIAIJ(MPI_Comm,Mat,PetscInt,MatReuse,Mat*);

    320: PETSC_INTERN PetscErrorCode MatSetSeqMat_SeqAIJ(Mat,IS,IS,MatStructure,Mat);

    322: /*
    323:     PetscSparseDenseMinusDot - The inner kernel of triangular solves and Gauss-Siedel smoothing. \sum_i xv[i] * r[xi[i]] for CSR storage

    325:   Input Parameters:
    326: +  nnz - the number of entries
    327: .  r - the array of vector values
    328: .  xv - the matrix values for the row
    329: -  xi - the column indices of the nonzeros in the row

    331:   Output Parameter:
    332: .  sum - negative the sum of results

    334:   PETSc compile flags:
    335: +   PETSC_KERNEL_USE_UNROLL_4 -   don't use this; it changes nnz and hence is WRONG
    336: -   PETSC_KERNEL_USE_UNROLL_2 -

    338: .seealso: PetscSparseDensePlusDot()

    340: */
    341: #if defined(PETSC_KERNEL_USE_UNROLL_4)
    342: #define PetscSparseDenseMinusDot(sum,r,xv,xi,nnz) { \
    343:     if (nnz > 0) { \
    344:       switch (nnz & 0x3) { \
    345:       case 3: sum -= *xv++ *r[*xi++]; \
    346:       case 2: sum -= *xv++ *r[*xi++]; \
    347:       case 1: sum -= *xv++ *r[*xi++]; \
    348:         nnz       -= 4;} \
    349:       while (nnz > 0) { \
    350:         sum -=  xv[0] * r[xi[0]] - xv[1] * r[xi[1]] - \
    351:                xv[2] * r[xi[2]] - xv[3] * r[xi[3]]; \
    352:         xv += 4; xi += 4; nnz -= 4; }}}

    354: #elif defined(PETSC_KERNEL_USE_UNROLL_2)
    355: #define PetscSparseDenseMinusDot(sum,r,xv,xi,nnz) { \
    356:     PetscInt __i,__i1,__i2; \
    357:     for (__i=0; __i<nnz-1; __i+=2) {__i1 = xi[__i]; __i2=xi[__i+1]; \
    358:                                     sum -= (xv[__i]*r[__i1] + xv[__i+1]*r[__i2]);} \
    359:     if (nnz & 0x1) sum -= xv[__i] * r[xi[__i]];}

    361: #else
    362: #define PetscSparseDenseMinusDot(sum,r,xv,xi,nnz) { \
    363:     PetscInt __i; \
    364:     for (__i=0; __i<nnz; __i++) sum -= xv[__i] * r[xi[__i]];}
    365: #endif

    369: /*
    370:     PetscSparseDensePlusDot - The inner kernel of matrix-vector product \sum_i xv[i] * r[xi[i]] for CSR storage

    372:   Input Parameters:
    373: +  nnz - the number of entries
    374: .  r - the array of vector values
    375: .  xv - the matrix values for the row
    376: -  xi - the column indices of the nonzeros in the row

    378:   Output Parameter:
    379: .  sum - the sum of results

    381:   PETSc compile flags:
    382: +   PETSC_KERNEL_USE_UNROLL_4 -  don't use this; it changes nnz and hence is WRONG
    383: -   PETSC_KERNEL_USE_UNROLL_2 -

    385: .seealso: PetscSparseDenseMinusDot()

    387: */
    388: #if defined(PETSC_KERNEL_USE_UNROLL_4)
    389: #define PetscSparseDensePlusDot(sum,r,xv,xi,nnz) { \
    390:     if (nnz > 0) { \
    391:       switch (nnz & 0x3) { \
    392:       case 3: sum += *xv++ *r[*xi++]; \
    393:       case 2: sum += *xv++ *r[*xi++]; \
    394:       case 1: sum += *xv++ *r[*xi++]; \
    395:         nnz       -= 4;} \
    396:       while (nnz > 0) { \
    397:         sum +=  xv[0] * r[xi[0]] + xv[1] * r[xi[1]] + \
    398:                xv[2] * r[xi[2]] + xv[3] * r[xi[3]]; \
    399:         xv += 4; xi += 4; nnz -= 4; }}}

    401: #elif defined(PETSC_KERNEL_USE_UNROLL_2)
    402: #define PetscSparseDensePlusDot(sum,r,xv,xi,nnz) { \
    403:     PetscInt __i,__i1,__i2; \
    404:     for (__i=0; __i<nnz-1; __i+=2) {__i1 = xi[__i]; __i2=xi[__i+1]; \
    405:                                     sum += (xv[__i]*r[__i1] + xv[__i+1]*r[__i2]);} \
    406:     if (nnz & 0x1) sum += xv[__i] * r[xi[__i]];}

    408: #else
    409: #define PetscSparseDensePlusDot(sum,r,xv,xi,nnz) { \
    410:     PetscInt __i; \
    411:     for (__i=0; __i<nnz; __i++) sum += xv[__i] * r[xi[__i]];}
    412: #endif

    415: /*
    416:     PetscSparseDenseMaxDot - The inner kernel of a modified matrix-vector product \max_i xv[i] * r[xi[i]] for CSR storage

    418:   Input Parameters:
    419: +  nnz - the number of entries
    420: .  r - the array of vector values
    421: .  xv - the matrix values for the row
    422: -  xi - the column indices of the nonzeros in the row

    424:   Output Parameter:
    425: .  max - the max of results

    427: .seealso: PetscSparseDensePlusDot(), PetscSparseDenseMinusDot()

    429: */
    430: #define PetscSparseDenseMaxDot(max,r,xv,xi,nnz) { \
    431:     PetscInt __i; \
    432:     for (__i=0; __i<nnz; __i++) max = PetscMax(PetscRealPart(max), PetscRealPart(xv[__i] * r[xi[__i]]));}

    434: #endif