1 2 #if !defined(__AIJ_H) 3 #define __AIJ_H 4 5 #include <petsc/private/matimpl.h> 6 #include <petscctable.h> 7 8 /* 9 Struct header shared by SeqAIJ, SeqBAIJ and SeqSBAIJ matrix formats 10 */ 11 #define SEQAIJHEADER(datatype) \ 12 PetscBool roworiented; /* if true, row-oriented input, default */ \ 13 PetscInt nonew; /* 1 don't add new nonzeros, -1 generate error on new */ \ 14 PetscInt nounused; /* -1 generate error on unused space */ \ 15 PetscBool singlemalloc; /* if true a, i, and j have been obtained with one big malloc */ \ 16 PetscInt maxnz; /* allocated nonzeros */ \ 17 PetscInt *imax; /* maximum space allocated for each row */ \ 18 PetscInt *ilen; /* actual length of each row */ \ 19 PetscBool free_imax_ilen; \ 20 PetscInt reallocs; /* number of mallocs done during MatSetValues() \ 21 as more values are set than were prealloced */\ 22 PetscInt rmax; /* max nonzeros in any row */ \ 23 PetscBool keepnonzeropattern; /* keeps matrix structure same in calls to MatZeroRows()*/ \ 24 PetscBool ignorezeroentries; \ 25 PetscBool free_ij; /* free the column indices j and row offsets i when the matrix is destroyed */ \ 26 PetscBool free_a; /* free the numerical values when matrix is destroy */ \ 27 Mat_CompressedRow compressedrow; /* use compressed row format */ \ 28 PetscInt nz; /* nonzeros */ \ 29 PetscInt *i; /* pointer to beginning of each row */ \ 30 PetscInt *j; /* column values: j + i[k] - 1 is start of row k */ \ 31 PetscInt *diag; /* pointers to diagonal elements */ \ 32 PetscInt nonzerorowcnt; /* how many rows have nonzero entries */ \ 33 PetscBool free_diag; \ 34 datatype *a; /* nonzero elements */ \ 35 PetscScalar *solve_work; /* work space used in MatSolve */ \ 36 IS row, col, icol; /* index sets, used for reorderings */ \ 37 PetscBool pivotinblocks; /* pivot inside factorization of each diagonal block */ \ 38 Mat parent /* set if this matrix was formed with MatDuplicate(...,MAT_SHARE_NONZERO_PATTERN,....); 39 means that this shares some data structures with the parent including diag, ilen, imax, i, j */ 40 41 typedef struct { 42 MatTransposeColoring matcoloring; 43 Mat Bt_den; /* dense matrix of B^T */ 44 Mat ABt_den; /* dense matrix of A*B^T */ 45 PetscBool usecoloring; 46 PetscErrorCode (*destroy)(Mat); 47 } Mat_MatMatTransMult; 48 49 typedef struct { /* for MatTransposeMatMult_SeqAIJ_SeqDense() */ 50 Mat mA; /* maij matrix of A */ 51 Vec bt,ct; /* vectors to hold locally transposed arrays of B and C */ 52 PetscErrorCode (*destroy)(Mat); 53 } Mat_MatTransMatMult; 54 55 typedef struct { 56 PetscInt *api,*apj; /* symbolic structure of A*P */ 57 PetscScalar *apa; /* temporary array for storing one row of A*P */ 58 PetscErrorCode (*destroy)(Mat); 59 } Mat_PtAP; 60 61 typedef struct { 62 MatTransposeColoring matcoloring; 63 Mat Rt; /* sparse or dense matrix of R^T */ 64 Mat RARt; /* dense matrix of R*A*R^T */ 65 Mat ARt; /* A*R^T used for the case -matrart_color_art */ 66 MatScalar *work; /* work array to store columns of A*R^T used in MatMatMatMultNumeric_SeqAIJ_SeqAIJ_SeqDense() */ 67 PetscErrorCode (*destroy)(Mat); 68 } Mat_RARt; 69 70 typedef struct { 71 Mat BC; /* temp matrix for storing B*C */ 72 PetscErrorCode (*destroy)(Mat); 73 } Mat_MatMatMatMult; 74 75 /* 76 MATSEQAIJ format - Compressed row storage (also called Yale sparse matrix 77 format) or compressed sparse row (CSR). The i[] and j[] arrays start at 0. For example, 78 j[i[k]+p] is the pth column in row k. Note that the diagonal 79 matrix elements are stored with the rest of the nonzeros (not separately). 80 */ 81 82 /* Info about i-nodes (identical nodes) helper class for SeqAIJ */ 83 typedef struct { 84 MatScalar *bdiag,*ibdiag,*ssor_work; /* diagonal blocks of matrix used for MatSOR_SeqAIJ_Inode() */ 85 PetscInt bdiagsize; /* length of bdiag and ibdiag */ 86 PetscBool ibdiagvalid; /* do ibdiag[] and bdiag[] contain the most recent values */ 87 88 PetscBool use; 89 PetscInt node_count; /* number of inodes */ 90 PetscInt *size; /* size of each inode */ 91 PetscInt limit; /* inode limit */ 92 PetscInt max_limit; /* maximum supported inode limit */ 93 PetscBool checked; /* if inodes have been checked for */ 94 PetscObjectState mat_nonzerostate; /* non-zero state when inodes were checked for */ 95 } Mat_SeqAIJ_Inode; 96 97 typedef struct { /* used by MatGetSubMatrices_MPIAIJ_SingleIS_Local() and MatGetSubMatrices_MPIAIJ_Local */ 98 PetscInt id; /* index of submats, only submats[0] is responsible for deleting some arrays below */ 99 PetscInt nrqs,nrqr; 100 PetscInt **rbuf1,**rbuf2,**rbuf3,**sbuf1,**sbuf2; 101 PetscInt **ptr; 102 PetscInt *tmp; 103 PetscInt *ctr; 104 PetscInt *pa; /* proc array */ 105 PetscInt *req_size,*req_source1,*req_source2; 106 PetscBool allcolumns; 107 PetscInt *row2proc; /* row to proc map */ 108 #if defined(PETSC_USE_CTABLE) 109 PetscTable cmap,rmap; 110 PetscInt *cmap_loc,*rmap_loc; 111 #else 112 PetscInt *cmap,*rmap; 113 #endif 114 115 PetscErrorCode (*destroy)(Mat); 116 } Mat_SubMat; 117 118 PETSC_INTERN PetscErrorCode MatView_SeqAIJ_Inode(Mat,PetscViewer); 119 PETSC_INTERN PetscErrorCode MatAssemblyEnd_SeqAIJ_Inode(Mat,MatAssemblyType); 120 PETSC_INTERN PetscErrorCode MatDestroy_SeqAIJ_Inode(Mat); 121 PETSC_INTERN PetscErrorCode MatCreate_SeqAIJ_Inode(Mat); 122 PETSC_INTERN PetscErrorCode MatSetOption_SeqAIJ_Inode(Mat,MatOption,PetscBool); 123 PETSC_INTERN PetscErrorCode MatDuplicate_SeqAIJ_Inode(Mat,MatDuplicateOption,Mat*); 124 PETSC_INTERN PetscErrorCode MatDuplicateNoCreate_SeqAIJ(Mat,Mat,MatDuplicateOption,PetscBool); 125 PETSC_INTERN PetscErrorCode MatLUFactorNumeric_SeqAIJ_Inode_inplace(Mat,Mat,const MatFactorInfo*); 126 PETSC_INTERN PetscErrorCode MatLUFactorNumeric_SeqAIJ_Inode(Mat,Mat,const MatFactorInfo*); 127 128 typedef struct { 129 SEQAIJHEADER(MatScalar); 130 Mat_SeqAIJ_Inode inode; 131 MatScalar *saved_values; /* location for stashing nonzero values of matrix */ 132 133 PetscScalar *idiag,*mdiag,*ssor_work; /* inverse of diagonal entries, diagonal values and workspace for Eisenstat trick */ 134 PetscBool idiagvalid; /* current idiag[] and mdiag[] are valid */ 135 PetscScalar *ibdiag; /* inverses of block diagonals */ 136 PetscBool ibdiagvalid; /* inverses of block diagonals are valid. */ 137 PetscScalar fshift,omega; /* last used omega and fshift */ 138 139 ISColoring coloring; /* set with MatADSetColoring() used by MatADSetValues() */ 140 141 PetscScalar *matmult_abdense; /* used by MatMatMult() */ 142 Mat_PtAP *ptap; /* used by MatPtAP() */ 143 Mat_MatMatMatMult *matmatmatmult; /* used by MatMatMatMult() */ 144 Mat_RARt *rart; /* used by MatRARt() */ 145 Mat_MatMatTransMult *abt; /* used by MatMatTransposeMult() */ 146 147 /* used by MatGetSubMatrices_MPIAIJ_SingleIS_Local */ 148 Mat_SubMat *submatis1; 149 } Mat_SeqAIJ; 150 151 /* 152 Frees the a, i, and j arrays from the XAIJ (AIJ, BAIJ, and SBAIJ) matrix types 153 */ 154 PETSC_STATIC_INLINE PetscErrorCode MatSeqXAIJFreeAIJ(Mat AA,MatScalar **a,PetscInt **j,PetscInt **i) 155 { 156 PetscErrorCode ierr; 157 Mat_SeqAIJ *A = (Mat_SeqAIJ*) AA->data; 158 if (A->singlemalloc) { 159 ierr = PetscFree3(*a,*j,*i);CHKERRQ(ierr); 160 } else { 161 if (A->free_a) {ierr = PetscFree(*a);CHKERRQ(ierr);} 162 if (A->free_ij) {ierr = PetscFree(*j);CHKERRQ(ierr);} 163 if (A->free_ij) {ierr = PetscFree(*i);CHKERRQ(ierr);} 164 } 165 return 0; 166 } 167 /* 168 Allocates larger a, i, and j arrays for the XAIJ (AIJ, BAIJ, and SBAIJ) matrix types 169 This is a macro because it takes the datatype as an argument which can be either a Mat or a MatScalar 170 */ 171 #define MatSeqXAIJReallocateAIJ(Amat,AM,BS2,NROW,ROW,COL,RMAX,AA,AI,AJ,RP,AP,AIMAX,NONEW,datatype) \ 172 if (NROW >= RMAX) { \ 173 Mat_SeqAIJ *Ain = (Mat_SeqAIJ*)Amat->data; \ 174 /* there is no extra room in row, therefore enlarge */ \ 175 PetscInt CHUNKSIZE = 15,new_nz = AI[AM] + CHUNKSIZE,len,*new_i=0,*new_j=0; \ 176 datatype *new_a; \ 177 \ 178 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); \ 179 /* malloc new storage space */ \ 180 ierr = PetscMalloc3(BS2*new_nz,&new_a,new_nz,&new_j,AM+1,&new_i);CHKERRQ(ierr); \ 181 \ 182 /* copy over old data into new slots */ \ 183 for (ii=0; ii<ROW+1; ii++) {new_i[ii] = AI[ii];} \ 184 for (ii=ROW+1; ii<AM+1; ii++) {new_i[ii] = AI[ii]+CHUNKSIZE;} \ 185 ierr = PetscMemcpy(new_j,AJ,(AI[ROW]+NROW)*sizeof(PetscInt));CHKERRQ(ierr); \ 186 len = (new_nz - CHUNKSIZE - AI[ROW] - NROW); \ 187 ierr = PetscMemcpy(new_j+AI[ROW]+NROW+CHUNKSIZE,AJ+AI[ROW]+NROW,len*sizeof(PetscInt));CHKERRQ(ierr); \ 188 ierr = PetscMemcpy(new_a,AA,BS2*(AI[ROW]+NROW)*sizeof(datatype));CHKERRQ(ierr); \ 189 ierr = PetscMemzero(new_a+BS2*(AI[ROW]+NROW),BS2*CHUNKSIZE*sizeof(datatype));CHKERRQ(ierr); \ 190 ierr = PetscMemcpy(new_a+BS2*(AI[ROW]+NROW+CHUNKSIZE),AA+BS2*(AI[ROW]+NROW),BS2*len*sizeof(datatype));CHKERRQ(ierr); \ 191 /* free up old matrix storage */ \ 192 ierr = MatSeqXAIJFreeAIJ(A,&Ain->a,&Ain->j,&Ain->i);CHKERRQ(ierr); \ 193 AA = new_a; \ 194 Ain->a = (MatScalar*) new_a; \ 195 AI = Ain->i = new_i; AJ = Ain->j = new_j; \ 196 Ain->singlemalloc = PETSC_TRUE; \ 197 \ 198 RP = AJ + AI[ROW]; AP = AA + BS2*AI[ROW]; \ 199 RMAX = AIMAX[ROW] = AIMAX[ROW] + CHUNKSIZE; \ 200 Ain->maxnz += BS2*CHUNKSIZE; \ 201 Ain->reallocs++; \ 202 } \ 203 204 205 PETSC_INTERN PetscErrorCode MatSeqAIJSetPreallocation_SeqAIJ(Mat,PetscInt,const PetscInt*); 206 PETSC_INTERN PetscErrorCode MatILUFactorSymbolic_SeqAIJ_inplace(Mat,Mat,IS,IS,const MatFactorInfo*); 207 PETSC_INTERN PetscErrorCode MatILUFactorSymbolic_SeqAIJ(Mat,Mat,IS,IS,const MatFactorInfo*); 208 PETSC_INTERN PetscErrorCode MatILUFactorSymbolic_SeqAIJ_ilu0(Mat,Mat,IS,IS,const MatFactorInfo*); 209 210 PETSC_INTERN PetscErrorCode MatICCFactorSymbolic_SeqAIJ_inplace(Mat,Mat,IS,const MatFactorInfo*); 211 PETSC_INTERN PetscErrorCode MatICCFactorSymbolic_SeqAIJ(Mat,Mat,IS,const MatFactorInfo*); 212 PETSC_INTERN PetscErrorCode MatCholeskyFactorSymbolic_SeqAIJ_inplace(Mat,Mat,IS,const MatFactorInfo*); 213 PETSC_INTERN PetscErrorCode MatCholeskyFactorSymbolic_SeqAIJ(Mat,Mat,IS,const MatFactorInfo*); 214 PETSC_INTERN PetscErrorCode MatCholeskyFactorNumeric_SeqAIJ_inplace(Mat,Mat,const MatFactorInfo*); 215 PETSC_INTERN PetscErrorCode MatCholeskyFactorNumeric_SeqAIJ(Mat,Mat,const MatFactorInfo*); 216 PETSC_INTERN PetscErrorCode MatDuplicate_SeqAIJ(Mat,MatDuplicateOption,Mat*); 217 PETSC_INTERN PetscErrorCode MatCopy_SeqAIJ(Mat,Mat,MatStructure); 218 PETSC_INTERN PetscErrorCode MatMissingDiagonal_SeqAIJ(Mat,PetscBool*,PetscInt*); 219 PETSC_INTERN PetscErrorCode MatMarkDiagonal_SeqAIJ(Mat); 220 PETSC_INTERN PetscErrorCode MatFindZeroDiagonals_SeqAIJ_Private(Mat,PetscInt*,PetscInt**); 221 222 PETSC_INTERN PetscErrorCode MatMult_SeqAIJ(Mat A,Vec,Vec); 223 PETSC_INTERN PetscErrorCode MatMultAdd_SeqAIJ(Mat A,Vec,Vec,Vec); 224 PETSC_INTERN PetscErrorCode MatMultTranspose_SeqAIJ(Mat A,Vec,Vec); 225 PETSC_INTERN PetscErrorCode MatMultTransposeAdd_SeqAIJ(Mat A,Vec,Vec,Vec); 226 PETSC_INTERN PetscErrorCode MatSOR_SeqAIJ(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec); 227 228 PETSC_INTERN PetscErrorCode MatSetOption_SeqAIJ(Mat,MatOption,PetscBool); 229 230 PETSC_INTERN PetscErrorCode MatGetSymbolicTranspose_SeqAIJ(Mat,PetscInt *[],PetscInt *[]); 231 PETSC_INTERN PetscErrorCode MatGetSymbolicTransposeReduced_SeqAIJ(Mat,PetscInt,PetscInt,PetscInt *[],PetscInt *[]); 232 PETSC_INTERN PetscErrorCode MatRestoreSymbolicTranspose_SeqAIJ(Mat,PetscInt *[],PetscInt *[]); 233 PETSC_INTERN PetscErrorCode MatTransposeSymbolic_SeqAIJ(Mat,Mat*); 234 PETSC_INTERN PetscErrorCode MatTranspose_SeqAIJ(Mat,MatReuse,Mat*); 235 PETSC_INTERN PetscErrorCode MatToSymmetricIJ_SeqAIJ(PetscInt,PetscInt*,PetscInt*,PetscBool,PetscInt,PetscInt,PetscInt**,PetscInt**); 236 PETSC_INTERN PetscErrorCode MatLUFactorSymbolic_SeqAIJ_inplace(Mat,Mat,IS,IS,const MatFactorInfo*); 237 PETSC_INTERN PetscErrorCode MatLUFactorSymbolic_SeqAIJ(Mat,Mat,IS,IS,const MatFactorInfo*); 238 PETSC_INTERN PetscErrorCode MatLUFactorNumeric_SeqAIJ_inplace(Mat,Mat,const MatFactorInfo*); 239 PETSC_INTERN PetscErrorCode MatLUFactorNumeric_SeqAIJ(Mat,Mat,const MatFactorInfo*); 240 PETSC_INTERN PetscErrorCode MatLUFactorNumeric_SeqAIJ_InplaceWithPerm(Mat,Mat,const MatFactorInfo*); 241 PETSC_INTERN PetscErrorCode MatLUFactor_SeqAIJ(Mat,IS,IS,const MatFactorInfo*); 242 PETSC_INTERN PetscErrorCode MatSolve_SeqAIJ_inplace(Mat,Vec,Vec); 243 PETSC_INTERN PetscErrorCode MatSolve_SeqAIJ(Mat,Vec,Vec); 244 PETSC_INTERN PetscErrorCode MatSolve_SeqAIJ_Inode_inplace(Mat,Vec,Vec); 245 PETSC_INTERN PetscErrorCode MatSolve_SeqAIJ_Inode(Mat,Vec,Vec); 246 PETSC_INTERN PetscErrorCode MatSolve_SeqAIJ_NaturalOrdering_inplace(Mat,Vec,Vec); 247 PETSC_INTERN PetscErrorCode MatSolve_SeqAIJ_NaturalOrdering(Mat,Vec,Vec); 248 PETSC_INTERN PetscErrorCode MatSolve_SeqAIJ_InplaceWithPerm(Mat,Vec,Vec); 249 PETSC_INTERN PetscErrorCode MatSolveAdd_SeqAIJ_inplace(Mat,Vec,Vec,Vec); 250 PETSC_INTERN PetscErrorCode MatSolveAdd_SeqAIJ(Mat,Vec,Vec,Vec); 251 PETSC_INTERN PetscErrorCode MatSolveTranspose_SeqAIJ_inplace(Mat,Vec,Vec); 252 PETSC_INTERN PetscErrorCode MatSolveTranspose_SeqAIJ(Mat,Vec,Vec); 253 PETSC_INTERN PetscErrorCode MatSolveTransposeAdd_SeqAIJ_inplace(Mat,Vec,Vec,Vec); 254 PETSC_INTERN PetscErrorCode MatSolveTransposeAdd_SeqAIJ(Mat,Vec,Vec,Vec); 255 PETSC_INTERN PetscErrorCode MatMatSolve_SeqAIJ_inplace(Mat,Mat,Mat); 256 PETSC_INTERN PetscErrorCode MatMatSolve_SeqAIJ(Mat,Mat,Mat); 257 PETSC_INTERN PetscErrorCode MatEqual_SeqAIJ(Mat,Mat,PetscBool*); 258 PETSC_INTERN PetscErrorCode MatFDColoringCreate_SeqXAIJ(Mat,ISColoring,MatFDColoring); 259 PETSC_INTERN PetscErrorCode MatFDColoringSetUp_SeqXAIJ(Mat,ISColoring,MatFDColoring); 260 PETSC_INTERN PetscErrorCode MatFDColoringSetUpBlocked_AIJ_Private(Mat,MatFDColoring,PetscInt); 261 PETSC_INTERN PetscErrorCode MatLoad_SeqAIJ(Mat,PetscViewer); 262 PETSC_INTERN PetscErrorCode RegisterApplyPtAPRoutines_Private(Mat); 263 264 PETSC_INTERN PetscErrorCode MatMatMult_SeqAIJ_SeqAIJ(Mat,Mat,MatReuse,PetscReal,Mat*); 265 PETSC_INTERN PetscErrorCode MatMatMultSymbolic_SeqAIJ_SeqAIJ(Mat,Mat,PetscReal,Mat*); 266 PETSC_INTERN PetscErrorCode MatMatMultSymbolic_SeqAIJ_SeqAIJ_Scalable(Mat,Mat,PetscReal,Mat*); 267 PETSC_INTERN PetscErrorCode MatMatMultSymbolic_SeqAIJ_SeqAIJ_Scalable_fast(Mat,Mat,PetscReal,Mat*); 268 PETSC_INTERN PetscErrorCode MatMatMultSymbolic_SeqAIJ_SeqAIJ_Heap(Mat,Mat,PetscReal,Mat*); 269 PETSC_INTERN PetscErrorCode MatMatMultSymbolic_SeqAIJ_SeqAIJ_BTHeap(Mat,Mat,PetscReal,Mat*); 270 PETSC_INTERN PetscErrorCode MatMatMultNumeric_SeqAIJ_SeqAIJ(Mat,Mat,Mat); 271 PETSC_INTERN PetscErrorCode MatMatMultNumeric_SeqAIJ_SeqAIJ_Scalable(Mat,Mat,Mat); 272 273 PETSC_INTERN PetscErrorCode MatPtAP_SeqAIJ_SeqAIJ(Mat,Mat,MatReuse,PetscReal,Mat*); 274 PETSC_INTERN PetscErrorCode MatPtAPSymbolic_SeqAIJ_SeqAIJ_DenseAxpy(Mat,Mat,PetscReal,Mat*); 275 PETSC_INTERN PetscErrorCode MatPtAPSymbolic_SeqAIJ_SeqAIJ_SparseAxpy(Mat,Mat,PetscReal,Mat*); 276 PETSC_INTERN PetscErrorCode MatPtAPNumeric_SeqAIJ_SeqAIJ(Mat,Mat,Mat); 277 PETSC_INTERN PetscErrorCode MatPtAPNumeric_SeqAIJ_SeqAIJ_SparseAxpy(Mat,Mat,Mat); 278 279 PETSC_INTERN PetscErrorCode MatRARtSymbolic_SeqAIJ_SeqAIJ(Mat,Mat,PetscReal,Mat*); 280 PETSC_INTERN PetscErrorCode MatRARtSymbolic_SeqAIJ_SeqAIJ_matmattransposemult(Mat,Mat,PetscReal,Mat*); 281 PETSC_INTERN PetscErrorCode MatRARtSymbolic_SeqAIJ_SeqAIJ_colorrart(Mat,Mat,PetscReal,Mat*); 282 PETSC_INTERN PetscErrorCode MatRARtNumeric_SeqAIJ_SeqAIJ(Mat,Mat,Mat); 283 PETSC_INTERN PetscErrorCode MatRARtNumeric_SeqAIJ_SeqAIJ_matmattransposemult(Mat,Mat,Mat); 284 PETSC_INTERN PetscErrorCode MatRARtNumeric_SeqAIJ_SeqAIJ_colorrart(Mat,Mat,Mat); 285 286 PETSC_INTERN PetscErrorCode MatTransposeMatMult_SeqAIJ_SeqAIJ(Mat,Mat,MatReuse,PetscReal,Mat*); 287 PETSC_INTERN PetscErrorCode MatTransposeMatMultSymbolic_SeqAIJ_SeqAIJ(Mat,Mat,PetscReal,Mat*); 288 PETSC_INTERN PetscErrorCode MatTransposeMatMultNumeric_SeqAIJ_SeqAIJ(Mat,Mat,Mat); 289 290 PETSC_INTERN PetscErrorCode MatTransposeMatMult_SeqAIJ_SeqDense(Mat,Mat,MatReuse,PetscReal,Mat*); 291 PETSC_INTERN PetscErrorCode MatTransposeMatMultSymbolic_SeqAIJ_SeqDense(Mat,Mat,PetscReal,Mat*); 292 PETSC_INTERN PetscErrorCode MatTransposeMatMultNumeric_SeqAIJ_SeqDense(Mat,Mat,Mat); 293 294 PETSC_INTERN PetscErrorCode MatMatTransposeMult_SeqAIJ_SeqAIJ(Mat,Mat,MatReuse,PetscReal,Mat*); 295 PETSC_INTERN PetscErrorCode MatMatTransposeMultSymbolic_SeqAIJ_SeqAIJ(Mat,Mat,PetscReal,Mat*); 296 PETSC_INTERN PetscErrorCode MatMatTransposeMultNumeric_SeqAIJ_SeqAIJ(Mat,Mat,Mat); 297 PETSC_INTERN PetscErrorCode MatTransposeColoringCreate_SeqAIJ(Mat,ISColoring,MatTransposeColoring); 298 PETSC_INTERN PetscErrorCode MatTransColoringApplySpToDen_SeqAIJ(MatTransposeColoring,Mat,Mat); 299 PETSC_INTERN PetscErrorCode MatTransColoringApplyDenToSp_SeqAIJ(MatTransposeColoring,Mat,Mat); 300 301 PETSC_INTERN PetscErrorCode MatMatMatMult_SeqAIJ_SeqAIJ_SeqAIJ(Mat,Mat,Mat,MatReuse,PetscReal,Mat*); 302 PETSC_INTERN PetscErrorCode MatMatMatMultSymbolic_SeqAIJ_SeqAIJ_SeqAIJ(Mat,Mat,Mat,PetscReal,Mat*); 303 PETSC_INTERN PetscErrorCode MatMatMatMultNumeric_SeqAIJ_SeqAIJ_SeqAIJ(Mat,Mat,Mat,Mat); 304 305 PETSC_INTERN PetscErrorCode MatSetValues_SeqAIJ(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode); 306 PETSC_INTERN PetscErrorCode MatGetRow_SeqAIJ(Mat,PetscInt,PetscInt*,PetscInt**,PetscScalar**); 307 PETSC_INTERN PetscErrorCode MatRestoreRow_SeqAIJ(Mat,PetscInt,PetscInt*,PetscInt**,PetscScalar**); 308 PETSC_INTERN PetscErrorCode MatAXPY_SeqAIJ(Mat,PetscScalar,Mat,MatStructure); 309 PETSC_INTERN PetscErrorCode MatGetRowIJ_SeqAIJ(Mat,PetscInt,PetscBool,PetscBool,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool*); 310 PETSC_INTERN PetscErrorCode MatRestoreRowIJ_SeqAIJ(Mat,PetscInt,PetscBool,PetscBool,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool*); 311 PETSC_INTERN PetscErrorCode MatGetColumnIJ_SeqAIJ(Mat,PetscInt,PetscBool,PetscBool,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool*); 312 PETSC_INTERN PetscErrorCode MatRestoreColumnIJ_SeqAIJ(Mat,PetscInt,PetscBool,PetscBool,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool*); 313 PETSC_INTERN PetscErrorCode MatGetColumnIJ_SeqAIJ_Color(Mat,PetscInt,PetscBool,PetscBool,PetscInt*,const PetscInt *[],const PetscInt *[],PetscInt *[],PetscBool*); 314 PETSC_INTERN PetscErrorCode MatRestoreColumnIJ_SeqAIJ_Color(Mat,PetscInt,PetscBool,PetscBool,PetscInt*,const PetscInt *[],const PetscInt *[],PetscInt *[],PetscBool*); 315 PETSC_INTERN PetscErrorCode MatDestroy_SeqAIJ(Mat); 316 PETSC_INTERN PetscErrorCode MatSetUp_SeqAIJ(Mat); 317 PETSC_INTERN PetscErrorCode MatView_SeqAIJ(Mat,PetscViewer); 318 319 PETSC_INTERN PetscErrorCode MatSeqAIJInvalidateDiagonal(Mat); 320 PETSC_INTERN PetscErrorCode MatSeqAIJInvalidateDiagonal_Inode(Mat); 321 PETSC_INTERN PetscErrorCode MatSeqAIJCheckInode(Mat); 322 PETSC_INTERN PetscErrorCode MatSeqAIJCheckInode_FactorLU(Mat); 323 324 PETSC_INTERN PetscErrorCode MatAXPYGetPreallocation_SeqAIJ(Mat,Mat,PetscInt*); 325 326 PETSC_INTERN PetscErrorCode MatConvert_SeqAIJ_SeqSBAIJ(Mat,MatType,MatReuse,Mat*); 327 PETSC_INTERN PetscErrorCode MatConvert_SeqAIJ_SeqBAIJ(Mat,MatType,MatReuse,Mat*); 328 PETSC_INTERN PetscErrorCode MatConvert_SeqAIJ_SeqAIJPERM(Mat,MatType,MatReuse,Mat*); 329 PETSC_INTERN PetscErrorCode MatReorderForNonzeroDiagonal_SeqAIJ(Mat,PetscReal,IS,IS); 330 PETSC_INTERN PetscErrorCode MatMatMult_SeqDense_SeqAIJ(Mat,Mat,MatReuse,PetscReal,Mat*); 331 PETSC_INTERN PetscErrorCode MatRARt_SeqAIJ_SeqAIJ(Mat,Mat,MatReuse,PetscReal,Mat*); 332 PETSC_EXTERN PetscErrorCode MatCreate_SeqAIJ(Mat); 333 PETSC_INTERN PetscErrorCode MatAssemblyEnd_SeqAIJ(Mat,MatAssemblyType); 334 PETSC_INTERN PetscErrorCode MatDestroy_SeqAIJ(Mat); 335 336 PETSC_INTERN PetscErrorCode MatAXPYGetPreallocation_SeqX_private(PetscInt,const PetscInt*,const PetscInt*,const PetscInt*,const PetscInt*,PetscInt*); 337 PETSC_INTERN PetscErrorCode MatCreateMPIMatConcatenateSeqMat_SeqAIJ(MPI_Comm,Mat,PetscInt,MatReuse,Mat*); 338 PETSC_INTERN PetscErrorCode MatCreateMPIMatConcatenateSeqMat_MPIAIJ(MPI_Comm,Mat,PetscInt,MatReuse,Mat*); 339 340 PETSC_INTERN PetscErrorCode MatSetSeqMat_SeqAIJ(Mat,IS,IS,MatStructure,Mat); 341 342 /* 343 PetscSparseDenseMinusDot - The inner kernel of triangular solves and Gauss-Siedel smoothing. \sum_i xv[i] * r[xi[i]] for CSR storage 344 345 Input Parameters: 346 + nnz - the number of entries 347 . r - the array of vector values 348 . xv - the matrix values for the row 349 - xi - the column indices of the nonzeros in the row 350 351 Output Parameter: 352 . sum - negative the sum of results 353 354 PETSc compile flags: 355 + PETSC_KERNEL_USE_UNROLL_4 - don't use this; it changes nnz and hence is WRONG 356 - PETSC_KERNEL_USE_UNROLL_2 - 357 358 .seealso: PetscSparseDensePlusDot() 359 360 */ 361 #if defined(PETSC_KERNEL_USE_UNROLL_4) 362 #define PetscSparseDenseMinusDot(sum,r,xv,xi,nnz) { \ 363 if (nnz > 0) { \ 364 switch (nnz & 0x3) { \ 365 case 3: sum -= *xv++ *r[*xi++]; \ 366 case 2: sum -= *xv++ *r[*xi++]; \ 367 case 1: sum -= *xv++ *r[*xi++]; \ 368 nnz -= 4;} \ 369 while (nnz > 0) { \ 370 sum -= xv[0] * r[xi[0]] - xv[1] * r[xi[1]] - \ 371 xv[2] * r[xi[2]] - xv[3] * r[xi[3]]; \ 372 xv += 4; xi += 4; nnz -= 4; }}} 373 374 #elif defined(PETSC_KERNEL_USE_UNROLL_2) 375 #define PetscSparseDenseMinusDot(sum,r,xv,xi,nnz) { \ 376 PetscInt __i,__i1,__i2; \ 377 for (__i=0; __i<nnz-1; __i+=2) {__i1 = xi[__i]; __i2=xi[__i+1]; \ 378 sum -= (xv[__i]*r[__i1] + xv[__i+1]*r[__i2]);} \ 379 if (nnz & 0x1) sum -= xv[__i] * r[xi[__i]];} 380 381 #else 382 #define PetscSparseDenseMinusDot(sum,r,xv,xi,nnz) { \ 383 PetscInt __i; \ 384 for (__i=0; __i<nnz; __i++) sum -= xv[__i] * r[xi[__i]];} 385 #endif 386 387 388 389 /* 390 PetscSparseDensePlusDot - The inner kernel of matrix-vector product \sum_i xv[i] * r[xi[i]] for CSR storage 391 392 Input Parameters: 393 + nnz - the number of entries 394 . r - the array of vector values 395 . xv - the matrix values for the row 396 - xi - the column indices of the nonzeros in the row 397 398 Output Parameter: 399 . sum - the sum of results 400 401 PETSc compile flags: 402 + PETSC_KERNEL_USE_UNROLL_4 - don't use this; it changes nnz and hence is WRONG 403 - PETSC_KERNEL_USE_UNROLL_2 - 404 405 .seealso: PetscSparseDenseMinusDot() 406 407 */ 408 #if defined(PETSC_KERNEL_USE_UNROLL_4) 409 #define PetscSparseDensePlusDot(sum,r,xv,xi,nnz) { \ 410 if (nnz > 0) { \ 411 switch (nnz & 0x3) { \ 412 case 3: sum += *xv++ *r[*xi++]; \ 413 case 2: sum += *xv++ *r[*xi++]; \ 414 case 1: sum += *xv++ *r[*xi++]; \ 415 nnz -= 4;} \ 416 while (nnz > 0) { \ 417 sum += xv[0] * r[xi[0]] + xv[1] * r[xi[1]] + \ 418 xv[2] * r[xi[2]] + xv[3] * r[xi[3]]; \ 419 xv += 4; xi += 4; nnz -= 4; }}} 420 421 #elif defined(PETSC_KERNEL_USE_UNROLL_2) 422 #define PetscSparseDensePlusDot(sum,r,xv,xi,nnz) { \ 423 PetscInt __i,__i1,__i2; \ 424 for (__i=0; __i<nnz-1; __i+=2) {__i1 = xi[__i]; __i2=xi[__i+1]; \ 425 sum += (xv[__i]*r[__i1] + xv[__i+1]*r[__i2]);} \ 426 if (nnz & 0x1) sum += xv[__i] * r[xi[__i]];} 427 428 #else 429 #define PetscSparseDensePlusDot(sum,r,xv,xi,nnz) { \ 430 PetscInt __i; \ 431 for (__i=0; __i<nnz; __i++) sum += xv[__i] * r[xi[__i]];} 432 #endif 433 434 435 /* 436 PetscSparseDenseMaxDot - The inner kernel of a modified matrix-vector product \max_i xv[i] * r[xi[i]] for CSR storage 437 438 Input Parameters: 439 + nnz - the number of entries 440 . r - the array of vector values 441 . xv - the matrix values for the row 442 - xi - the column indices of the nonzeros in the row 443 444 Output Parameter: 445 . max - the max of results 446 447 .seealso: PetscSparseDensePlusDot(), PetscSparseDenseMinusDot() 448 449 */ 450 #define PetscSparseDenseMaxDot(max,r,xv,xi,nnz) { \ 451 PetscInt __i; \ 452 for (__i=0; __i<nnz; __i++) max = PetscMax(PetscRealPart(max), PetscRealPart(xv[__i] * r[xi[__i]]));} 453 454 /* 455 Add column indices into table for counting the max nonzeros of merged rows 456 */ 457 #define MatRowMergeMax_SeqAIJ(mat,nrows,ta) { \ 458 PetscInt _j,_row,_nz,*_col; \ 459 for (_row=0; _row<nrows; _row++) {\ 460 _nz = mat->i[_row+1] - mat->i[_row]; \ 461 for (_j=0; _j<_nz; _j++) { \ 462 _col = _j + mat->j + mat->i[_row]; \ 463 PetscTableAdd(ta,*_col+1,1,INSERT_VALUES); \ 464 } \ 465 } \ 466 } 467 468 /* 469 Add column indices into table for counting the nonzeros of merged rows 470 */ 471 #define MatMergeRows_SeqAIJ(mat,nrows,rows,ta) { \ 472 PetscInt _j,_row,_nz,*_col,_i; \ 473 for (_i=0; _i<nrows; _i++) {\ 474 _row = rows[_i]; \ 475 _nz = mat->i[_row+1] - mat->i[_row]; \ 476 for (_j=0; _j<_nz; _j++) { \ 477 _col = _j + mat->j + mat->i[_row]; \ 478 PetscTableAdd(ta,*_col+1,1,INSERT_VALUES); \ 479 } \ 480 } \ 481 } 482 483 #endif 484