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 Mat_SubSppt *submatis1 /* used by MatCreateSubMatrices_MPIXAIJ_Local */ 41 42 typedef struct { 43 MatTransposeColoring matcoloring; 44 Mat Bt_den; /* dense matrix of B^T */ 45 Mat ABt_den; /* dense matrix of A*B^T */ 46 PetscBool usecoloring; 47 PetscErrorCode (*destroy)(Mat); 48 } Mat_MatMatTransMult; 49 50 typedef struct { /* used by MatTransposeMatMult() */ 51 Mat At; /* transpose of the first matrix */ 52 Mat mA; /* maij matrix of A */ 53 Vec bt,ct; /* vectors to hold locally transposed arrays of B and C */ 54 PetscErrorCode (*destroy)(Mat); 55 } Mat_MatTransMatMult; 56 57 typedef struct { 58 PetscInt *api,*apj; /* symbolic structure of A*P */ 59 PetscScalar *apa; /* temporary array for storing one row of A*P */ 60 PetscErrorCode (*destroy)(Mat); 61 } Mat_PtAP; 62 63 typedef struct { 64 MatTransposeColoring matcoloring; 65 Mat Rt; /* sparse or dense matrix of R^T */ 66 Mat RARt; /* dense matrix of R*A*R^T */ 67 Mat ARt; /* A*R^T used for the case -matrart_color_art */ 68 MatScalar *work; /* work array to store columns of A*R^T used in MatMatMatMultNumeric_SeqAIJ_SeqAIJ_SeqDense() */ 69 PetscErrorCode (*destroy)(Mat); 70 } Mat_RARt; 71 72 typedef struct { 73 Mat BC; /* temp matrix for storing B*C */ 74 PetscErrorCode (*destroy)(Mat); 75 } Mat_MatMatMatMult; 76 77 /* 78 MATSEQAIJ format - Compressed row storage (also called Yale sparse matrix 79 format) or compressed sparse row (CSR). The i[] and j[] arrays start at 0. For example, 80 j[i[k]+p] is the pth column in row k. Note that the diagonal 81 matrix elements are stored with the rest of the nonzeros (not separately). 82 */ 83 84 /* Info about i-nodes (identical nodes) helper class for SeqAIJ */ 85 typedef struct { 86 MatScalar *bdiag,*ibdiag,*ssor_work; /* diagonal blocks of matrix used for MatSOR_SeqAIJ_Inode() */ 87 PetscInt bdiagsize; /* length of bdiag and ibdiag */ 88 PetscBool ibdiagvalid; /* do ibdiag[] and bdiag[] contain the most recent values */ 89 90 PetscBool use; 91 PetscInt node_count; /* number of inodes */ 92 PetscInt *size; /* size of each inode */ 93 PetscInt limit; /* inode limit */ 94 PetscInt max_limit; /* maximum supported inode limit */ 95 PetscBool checked; /* if inodes have been checked for */ 96 PetscObjectState mat_nonzerostate; /* non-zero state when inodes were checked for */ 97 } Mat_SeqAIJ_Inode; 98 99 PETSC_INTERN PetscErrorCode MatView_SeqAIJ_Inode(Mat,PetscViewer); 100 PETSC_INTERN PetscErrorCode MatAssemblyEnd_SeqAIJ_Inode(Mat,MatAssemblyType); 101 PETSC_INTERN PetscErrorCode MatDestroy_SeqAIJ_Inode(Mat); 102 PETSC_INTERN PetscErrorCode MatCreate_SeqAIJ_Inode(Mat); 103 PETSC_INTERN PetscErrorCode MatSetOption_SeqAIJ_Inode(Mat,MatOption,PetscBool); 104 PETSC_INTERN PetscErrorCode MatDuplicate_SeqAIJ_Inode(Mat,MatDuplicateOption,Mat*); 105 PETSC_INTERN PetscErrorCode MatDuplicateNoCreate_SeqAIJ(Mat,Mat,MatDuplicateOption,PetscBool); 106 PETSC_INTERN PetscErrorCode MatLUFactorNumeric_SeqAIJ_Inode_inplace(Mat,Mat,const MatFactorInfo*); 107 PETSC_INTERN PetscErrorCode MatLUFactorNumeric_SeqAIJ_Inode(Mat,Mat,const MatFactorInfo*); 108 109 typedef struct { 110 SEQAIJHEADER(MatScalar); 111 Mat_SeqAIJ_Inode inode; 112 MatScalar *saved_values; /* location for stashing nonzero values of matrix */ 113 114 PetscScalar *idiag,*mdiag,*ssor_work; /* inverse of diagonal entries, diagonal values and workspace for Eisenstat trick */ 115 PetscBool idiagvalid; /* current idiag[] and mdiag[] are valid */ 116 PetscScalar *ibdiag; /* inverses of block diagonals */ 117 PetscBool ibdiagvalid; /* inverses of block diagonals are valid. */ 118 PetscScalar fshift,omega; /* last used omega and fshift */ 119 120 ISColoring coloring; /* set with MatADSetColoring() used by MatADSetValues() */ 121 122 PetscScalar *matmult_abdense; /* used by MatMatMult() */ 123 Mat_PtAP *ptap; /* used by MatPtAP() */ 124 Mat_MatMatMatMult *matmatmatmult; /* used by MatMatMatMult() */ 125 Mat_RARt *rart; /* used by MatRARt() */ 126 Mat_MatMatTransMult *abt; /* used by MatMatTransposeMult() */ 127 Mat_MatTransMatMult *atb; /* used by MatTransposeMatMult() */ 128 } Mat_SeqAIJ; 129 130 /* 131 Frees the a, i, and j arrays from the XAIJ (AIJ, BAIJ, and SBAIJ) matrix types 132 */ 133 PETSC_STATIC_INLINE PetscErrorCode MatSeqXAIJFreeAIJ(Mat AA,MatScalar **a,PetscInt **j,PetscInt **i) 134 { 135 PetscErrorCode ierr; 136 Mat_SeqAIJ *A = (Mat_SeqAIJ*) AA->data; 137 if (A->singlemalloc) { 138 ierr = PetscFree3(*a,*j,*i);CHKERRQ(ierr); 139 } else { 140 if (A->free_a) {ierr = PetscFree(*a);CHKERRQ(ierr);} 141 if (A->free_ij) {ierr = PetscFree(*j);CHKERRQ(ierr);} 142 if (A->free_ij) {ierr = PetscFree(*i);CHKERRQ(ierr);} 143 } 144 return 0; 145 } 146 /* 147 Allocates larger a, i, and j arrays for the XAIJ (AIJ, BAIJ, and SBAIJ) matrix types 148 This is a macro because it takes the datatype as an argument which can be either a Mat or a MatScalar 149 */ 150 #define MatSeqXAIJReallocateAIJ(Amat,AM,BS2,NROW,ROW,COL,RMAX,AA,AI,AJ,RP,AP,AIMAX,NONEW,datatype) \ 151 if (NROW >= RMAX) { \ 152 Mat_SeqAIJ *Ain = (Mat_SeqAIJ*)Amat->data; \ 153 /* there is no extra room in row, therefore enlarge */ \ 154 PetscInt CHUNKSIZE = 15,new_nz = AI[AM] + CHUNKSIZE,len,*new_i=0,*new_j=0; \ 155 datatype *new_a; \ 156 \ 157 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); \ 158 /* malloc new storage space */ \ 159 ierr = PetscMalloc3(BS2*new_nz,&new_a,new_nz,&new_j,AM+1,&new_i);CHKERRQ(ierr); \ 160 \ 161 /* copy over old data into new slots */ \ 162 for (ii=0; ii<ROW+1; ii++) {new_i[ii] = AI[ii];} \ 163 for (ii=ROW+1; ii<AM+1; ii++) {new_i[ii] = AI[ii]+CHUNKSIZE;} \ 164 ierr = PetscMemcpy(new_j,AJ,(AI[ROW]+NROW)*sizeof(PetscInt));CHKERRQ(ierr); \ 165 len = (new_nz - CHUNKSIZE - AI[ROW] - NROW); \ 166 ierr = PetscMemcpy(new_j+AI[ROW]+NROW+CHUNKSIZE,AJ+AI[ROW]+NROW,len*sizeof(PetscInt));CHKERRQ(ierr); \ 167 ierr = PetscMemcpy(new_a,AA,BS2*(AI[ROW]+NROW)*sizeof(datatype));CHKERRQ(ierr); \ 168 ierr = PetscMemzero(new_a+BS2*(AI[ROW]+NROW),BS2*CHUNKSIZE*sizeof(datatype));CHKERRQ(ierr); \ 169 ierr = PetscMemcpy(new_a+BS2*(AI[ROW]+NROW+CHUNKSIZE),AA+BS2*(AI[ROW]+NROW),BS2*len*sizeof(datatype));CHKERRQ(ierr); \ 170 /* free up old matrix storage */ \ 171 ierr = MatSeqXAIJFreeAIJ(A,&Ain->a,&Ain->j,&Ain->i);CHKERRQ(ierr); \ 172 AA = new_a; \ 173 Ain->a = (MatScalar*) new_a; \ 174 AI = Ain->i = new_i; AJ = Ain->j = new_j; \ 175 Ain->singlemalloc = PETSC_TRUE; \ 176 \ 177 RP = AJ + AI[ROW]; AP = AA + BS2*AI[ROW]; \ 178 RMAX = AIMAX[ROW] = AIMAX[ROW] + CHUNKSIZE; \ 179 Ain->maxnz += BS2*CHUNKSIZE; \ 180 Ain->reallocs++; \ 181 } \ 182 183 #define MatSeqXAIJReallocateAIJ_structure_only(Amat,AM,BS2,NROW,ROW,COL,RMAX,AI,AJ,RP,AIMAX,NONEW,datatype) \ 184 if (NROW >= RMAX) { \ 185 Mat_SeqAIJ *Ain = (Mat_SeqAIJ*)Amat->data; \ 186 /* there is no extra room in row, therefore enlarge */ \ 187 PetscInt CHUNKSIZE = 15,new_nz = AI[AM] + CHUNKSIZE,len,*new_i=0,*new_j=0; \ 188 \ 189 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); \ 190 /* malloc new storage space */ \ 191 ierr = PetscMalloc1(new_nz,&new_j);CHKERRQ(ierr); \ 192 ierr = PetscMalloc1(AM+1,&new_i);CHKERRQ(ierr);\ 193 \ 194 /* copy over old data into new slots */ \ 195 for (ii=0; ii<ROW+1; ii++) {new_i[ii] = AI[ii];} \ 196 for (ii=ROW+1; ii<AM+1; ii++) {new_i[ii] = AI[ii]+CHUNKSIZE;} \ 197 ierr = PetscMemcpy(new_j,AJ,(AI[ROW]+NROW)*sizeof(PetscInt));CHKERRQ(ierr); \ 198 len = (new_nz - CHUNKSIZE - AI[ROW] - NROW); \ 199 ierr = PetscMemcpy(new_j+AI[ROW]+NROW+CHUNKSIZE,AJ+AI[ROW]+NROW,len*sizeof(PetscInt));CHKERRQ(ierr); \ 200 \ 201 /* free up old matrix storage */ \ 202 ierr = MatSeqXAIJFreeAIJ(A,&Ain->a,&Ain->j,&Ain->i);CHKERRQ(ierr); \ 203 Ain->a = NULL; \ 204 AI = Ain->i = new_i; AJ = Ain->j = new_j; \ 205 Ain->singlemalloc = PETSC_FALSE; \ 206 Ain->free_a = PETSC_FALSE; \ 207 \ 208 RP = AJ + AI[ROW]; \ 209 RMAX = AIMAX[ROW] = AIMAX[ROW] + CHUNKSIZE; \ 210 Ain->maxnz += BS2*CHUNKSIZE; \ 211 Ain->reallocs++; \ 212 } \ 213 214 PETSC_INTERN PetscErrorCode MatSeqAIJSetPreallocation_SeqAIJ(Mat,PetscInt,const PetscInt*); 215 PETSC_INTERN PetscErrorCode MatILUFactorSymbolic_SeqAIJ_inplace(Mat,Mat,IS,IS,const MatFactorInfo*); 216 PETSC_INTERN PetscErrorCode MatILUFactorSymbolic_SeqAIJ(Mat,Mat,IS,IS,const MatFactorInfo*); 217 PETSC_INTERN PetscErrorCode MatILUFactorSymbolic_SeqAIJ_ilu0(Mat,Mat,IS,IS,const MatFactorInfo*); 218 219 PETSC_INTERN PetscErrorCode MatICCFactorSymbolic_SeqAIJ_inplace(Mat,Mat,IS,const MatFactorInfo*); 220 PETSC_INTERN PetscErrorCode MatICCFactorSymbolic_SeqAIJ(Mat,Mat,IS,const MatFactorInfo*); 221 PETSC_INTERN PetscErrorCode MatCholeskyFactorSymbolic_SeqAIJ_inplace(Mat,Mat,IS,const MatFactorInfo*); 222 PETSC_INTERN PetscErrorCode MatCholeskyFactorSymbolic_SeqAIJ(Mat,Mat,IS,const MatFactorInfo*); 223 PETSC_INTERN PetscErrorCode MatCholeskyFactorNumeric_SeqAIJ_inplace(Mat,Mat,const MatFactorInfo*); 224 PETSC_INTERN PetscErrorCode MatCholeskyFactorNumeric_SeqAIJ(Mat,Mat,const MatFactorInfo*); 225 PETSC_INTERN PetscErrorCode MatDuplicate_SeqAIJ(Mat,MatDuplicateOption,Mat*); 226 PETSC_INTERN PetscErrorCode MatCopy_SeqAIJ(Mat,Mat,MatStructure); 227 PETSC_INTERN PetscErrorCode MatMissingDiagonal_SeqAIJ(Mat,PetscBool*,PetscInt*); 228 PETSC_INTERN PetscErrorCode MatMarkDiagonal_SeqAIJ(Mat); 229 PETSC_INTERN PetscErrorCode MatFindZeroDiagonals_SeqAIJ_Private(Mat,PetscInt*,PetscInt**); 230 231 PETSC_INTERN PetscErrorCode MatMult_SeqAIJ(Mat A,Vec,Vec); 232 PETSC_INTERN PetscErrorCode MatMultAdd_SeqAIJ(Mat A,Vec,Vec,Vec); 233 PETSC_INTERN PetscErrorCode MatMultTranspose_SeqAIJ(Mat A,Vec,Vec); 234 PETSC_INTERN PetscErrorCode MatMultTransposeAdd_SeqAIJ(Mat A,Vec,Vec,Vec); 235 PETSC_INTERN PetscErrorCode MatSOR_SeqAIJ(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec); 236 237 PETSC_INTERN PetscErrorCode MatSetOption_SeqAIJ(Mat,MatOption,PetscBool); 238 239 PETSC_INTERN PetscErrorCode MatGetSymbolicTranspose_SeqAIJ(Mat,PetscInt *[],PetscInt *[]); 240 PETSC_INTERN PetscErrorCode MatGetSymbolicTransposeReduced_SeqAIJ(Mat,PetscInt,PetscInt,PetscInt *[],PetscInt *[]); 241 PETSC_INTERN PetscErrorCode MatRestoreSymbolicTranspose_SeqAIJ(Mat,PetscInt *[],PetscInt *[]); 242 PETSC_INTERN PetscErrorCode MatTransposeSymbolic_SeqAIJ(Mat,Mat*); 243 PETSC_INTERN PetscErrorCode MatTranspose_SeqAIJ(Mat,MatReuse,Mat*); 244 PETSC_INTERN PetscErrorCode MatToSymmetricIJ_SeqAIJ(PetscInt,PetscInt*,PetscInt*,PetscBool,PetscInt,PetscInt,PetscInt**,PetscInt**); 245 PETSC_INTERN PetscErrorCode MatLUFactorSymbolic_SeqAIJ_inplace(Mat,Mat,IS,IS,const MatFactorInfo*); 246 PETSC_INTERN PetscErrorCode MatLUFactorSymbolic_SeqAIJ(Mat,Mat,IS,IS,const MatFactorInfo*); 247 PETSC_INTERN PetscErrorCode MatLUFactorNumeric_SeqAIJ_inplace(Mat,Mat,const MatFactorInfo*); 248 PETSC_INTERN PetscErrorCode MatLUFactorNumeric_SeqAIJ(Mat,Mat,const MatFactorInfo*); 249 PETSC_INTERN PetscErrorCode MatLUFactorNumeric_SeqAIJ_InplaceWithPerm(Mat,Mat,const MatFactorInfo*); 250 PETSC_INTERN PetscErrorCode MatLUFactor_SeqAIJ(Mat,IS,IS,const MatFactorInfo*); 251 PETSC_INTERN PetscErrorCode MatSolve_SeqAIJ_inplace(Mat,Vec,Vec); 252 PETSC_INTERN PetscErrorCode MatSolve_SeqAIJ(Mat,Vec,Vec); 253 PETSC_INTERN PetscErrorCode MatSolve_SeqAIJ_Inode_inplace(Mat,Vec,Vec); 254 PETSC_INTERN PetscErrorCode MatSolve_SeqAIJ_Inode(Mat,Vec,Vec); 255 PETSC_INTERN PetscErrorCode MatSolve_SeqAIJ_NaturalOrdering_inplace(Mat,Vec,Vec); 256 PETSC_INTERN PetscErrorCode MatSolve_SeqAIJ_NaturalOrdering(Mat,Vec,Vec); 257 PETSC_INTERN PetscErrorCode MatSolve_SeqAIJ_InplaceWithPerm(Mat,Vec,Vec); 258 PETSC_INTERN PetscErrorCode MatSolveAdd_SeqAIJ_inplace(Mat,Vec,Vec,Vec); 259 PETSC_INTERN PetscErrorCode MatSolveAdd_SeqAIJ(Mat,Vec,Vec,Vec); 260 PETSC_INTERN PetscErrorCode MatSolveTranspose_SeqAIJ_inplace(Mat,Vec,Vec); 261 PETSC_INTERN PetscErrorCode MatSolveTranspose_SeqAIJ(Mat,Vec,Vec); 262 PETSC_INTERN PetscErrorCode MatSolveTransposeAdd_SeqAIJ_inplace(Mat,Vec,Vec,Vec); 263 PETSC_INTERN PetscErrorCode MatSolveTransposeAdd_SeqAIJ(Mat,Vec,Vec,Vec); 264 PETSC_INTERN PetscErrorCode MatMatSolve_SeqAIJ_inplace(Mat,Mat,Mat); 265 PETSC_INTERN PetscErrorCode MatMatSolve_SeqAIJ(Mat,Mat,Mat); 266 PETSC_INTERN PetscErrorCode MatEqual_SeqAIJ(Mat,Mat,PetscBool*); 267 PETSC_INTERN PetscErrorCode MatFDColoringCreate_SeqXAIJ(Mat,ISColoring,MatFDColoring); 268 PETSC_INTERN PetscErrorCode MatFDColoringSetUp_SeqXAIJ(Mat,ISColoring,MatFDColoring); 269 PETSC_INTERN PetscErrorCode MatFDColoringSetUpBlocked_AIJ_Private(Mat,MatFDColoring,PetscInt); 270 PETSC_INTERN PetscErrorCode MatLoad_SeqAIJ(Mat,PetscViewer); 271 PETSC_INTERN PetscErrorCode RegisterApplyPtAPRoutines_Private(Mat); 272 273 PETSC_INTERN PetscErrorCode MatMatMult_SeqAIJ_SeqAIJ(Mat,Mat,MatReuse,PetscReal,Mat*); 274 PETSC_INTERN PetscErrorCode MatMatMultSymbolic_SeqAIJ_SeqAIJ(Mat,Mat,PetscReal,Mat*); 275 PETSC_INTERN PetscErrorCode MatMatMultSymbolic_SeqDense_SeqAIJ(Mat,Mat,PetscReal,Mat*); 276 PETSC_INTERN PetscErrorCode MatMatMultSymbolic_SeqAIJ_SeqAIJ_Scalable(Mat,Mat,PetscReal,Mat*); 277 PETSC_INTERN PetscErrorCode MatMatMultSymbolic_SeqAIJ_SeqAIJ_Scalable_fast(Mat,Mat,PetscReal,Mat*); 278 PETSC_INTERN PetscErrorCode MatMatMultSymbolic_SeqAIJ_SeqAIJ_Heap(Mat,Mat,PetscReal,Mat*); 279 PETSC_INTERN PetscErrorCode MatMatMultSymbolic_SeqAIJ_SeqAIJ_BTHeap(Mat,Mat,PetscReal,Mat*); 280 PETSC_INTERN PetscErrorCode MatMatMultNumeric_SeqAIJ_SeqAIJ(Mat,Mat,Mat); 281 PETSC_INTERN PetscErrorCode MatMatMultNumeric_SeqDense_SeqAIJ(Mat,Mat,Mat); 282 PETSC_INTERN PetscErrorCode MatMatMultNumeric_SeqAIJ_SeqAIJ_Scalable(Mat,Mat,Mat); 283 284 PETSC_INTERN PetscErrorCode MatPtAP_SeqAIJ_SeqAIJ(Mat,Mat,MatReuse,PetscReal,Mat*); 285 PETSC_INTERN PetscErrorCode MatPtAPSymbolic_SeqAIJ_SeqAIJ_SparseAxpy(Mat,Mat,PetscReal,Mat*); 286 PETSC_INTERN PetscErrorCode MatPtAPNumeric_SeqAIJ_SeqAIJ(Mat,Mat,Mat); 287 PETSC_INTERN PetscErrorCode MatPtAPNumeric_SeqAIJ_SeqAIJ_SparseAxpy(Mat,Mat,Mat); 288 289 PETSC_INTERN PetscErrorCode MatRARtSymbolic_SeqAIJ_SeqAIJ(Mat,Mat,PetscReal,Mat*); 290 PETSC_INTERN PetscErrorCode MatRARtSymbolic_SeqAIJ_SeqAIJ_matmattransposemult(Mat,Mat,PetscReal,Mat*); 291 PETSC_INTERN PetscErrorCode MatRARtSymbolic_SeqAIJ_SeqAIJ_colorrart(Mat,Mat,PetscReal,Mat*); 292 PETSC_INTERN PetscErrorCode MatRARtNumeric_SeqAIJ_SeqAIJ(Mat,Mat,Mat); 293 PETSC_INTERN PetscErrorCode MatRARtNumeric_SeqAIJ_SeqAIJ_matmattransposemult(Mat,Mat,Mat); 294 PETSC_INTERN PetscErrorCode MatRARtNumeric_SeqAIJ_SeqAIJ_colorrart(Mat,Mat,Mat); 295 296 PETSC_INTERN PetscErrorCode MatTransposeMatMult_SeqAIJ_SeqAIJ(Mat,Mat,MatReuse,PetscReal,Mat*); 297 PETSC_INTERN PetscErrorCode MatTransposeMatMultSymbolic_SeqAIJ_SeqAIJ(Mat,Mat,PetscReal,Mat*); 298 PETSC_INTERN PetscErrorCode MatTransposeMatMultNumeric_SeqAIJ_SeqAIJ(Mat,Mat,Mat); 299 PETSC_INTERN PetscErrorCode MatDestroy_SeqAIJ_MatTransMatMult(Mat); 300 301 PETSC_INTERN PetscErrorCode MatTransposeMatMult_SeqAIJ_SeqDense(Mat,Mat,MatReuse,PetscReal,Mat*); 302 PETSC_INTERN PetscErrorCode MatTransposeMatMultSymbolic_SeqAIJ_SeqDense(Mat,Mat,PetscReal,Mat*); 303 PETSC_INTERN PetscErrorCode MatTransposeMatMultNumeric_SeqAIJ_SeqDense(Mat,Mat,Mat); 304 305 PETSC_INTERN PetscErrorCode MatMatTransposeMult_SeqAIJ_SeqAIJ(Mat,Mat,MatReuse,PetscReal,Mat*); 306 PETSC_INTERN PetscErrorCode MatMatTransposeMultSymbolic_SeqAIJ_SeqAIJ(Mat,Mat,PetscReal,Mat*); 307 PETSC_INTERN PetscErrorCode MatMatTransposeMultNumeric_SeqAIJ_SeqAIJ(Mat,Mat,Mat); 308 PETSC_INTERN PetscErrorCode MatTransposeColoringCreate_SeqAIJ(Mat,ISColoring,MatTransposeColoring); 309 PETSC_INTERN PetscErrorCode MatTransColoringApplySpToDen_SeqAIJ(MatTransposeColoring,Mat,Mat); 310 PETSC_INTERN PetscErrorCode MatTransColoringApplyDenToSp_SeqAIJ(MatTransposeColoring,Mat,Mat); 311 312 PETSC_INTERN PetscErrorCode MatMatMatMult_SeqAIJ_SeqAIJ_SeqAIJ(Mat,Mat,Mat,MatReuse,PetscReal,Mat*); 313 PETSC_INTERN PetscErrorCode MatMatMatMultSymbolic_SeqAIJ_SeqAIJ_SeqAIJ(Mat,Mat,Mat,PetscReal,Mat*); 314 PETSC_INTERN PetscErrorCode MatMatMatMultNumeric_SeqAIJ_SeqAIJ_SeqAIJ(Mat,Mat,Mat,Mat); 315 316 PETSC_INTERN PetscErrorCode MatSetValues_SeqAIJ(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode); 317 PETSC_INTERN PetscErrorCode MatGetRow_SeqAIJ(Mat,PetscInt,PetscInt*,PetscInt**,PetscScalar**); 318 PETSC_INTERN PetscErrorCode MatRestoreRow_SeqAIJ(Mat,PetscInt,PetscInt*,PetscInt**,PetscScalar**); 319 PETSC_INTERN PetscErrorCode MatScale_SeqAIJ(Mat,PetscScalar); 320 PETSC_INTERN PetscErrorCode MatDiagonalScale_SeqAIJ(Mat,Vec,Vec); 321 PETSC_INTERN PetscErrorCode MatDiagonalSet_SeqAIJ(Mat,Vec,InsertMode); 322 PETSC_INTERN PetscErrorCode MatAXPY_SeqAIJ(Mat,PetscScalar,Mat,MatStructure); 323 PETSC_INTERN PetscErrorCode MatGetRowIJ_SeqAIJ(Mat,PetscInt,PetscBool,PetscBool,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool*); 324 PETSC_INTERN PetscErrorCode MatRestoreRowIJ_SeqAIJ(Mat,PetscInt,PetscBool,PetscBool,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool*); 325 PETSC_INTERN PetscErrorCode MatGetColumnIJ_SeqAIJ(Mat,PetscInt,PetscBool,PetscBool,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool*); 326 PETSC_INTERN PetscErrorCode MatRestoreColumnIJ_SeqAIJ(Mat,PetscInt,PetscBool,PetscBool,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool*); 327 PETSC_INTERN PetscErrorCode MatGetColumnIJ_SeqAIJ_Color(Mat,PetscInt,PetscBool,PetscBool,PetscInt*,const PetscInt *[],const PetscInt *[],PetscInt *[],PetscBool*); 328 PETSC_INTERN PetscErrorCode MatRestoreColumnIJ_SeqAIJ_Color(Mat,PetscInt,PetscBool,PetscBool,PetscInt*,const PetscInt *[],const PetscInt *[],PetscInt *[],PetscBool*); 329 PETSC_INTERN PetscErrorCode MatDestroy_SeqAIJ(Mat); 330 PETSC_INTERN PetscErrorCode MatSetUp_SeqAIJ(Mat); 331 PETSC_INTERN PetscErrorCode MatView_SeqAIJ(Mat,PetscViewer); 332 333 PETSC_INTERN PetscErrorCode MatSeqAIJInvalidateDiagonal(Mat); 334 PETSC_INTERN PetscErrorCode MatSeqAIJInvalidateDiagonal_Inode(Mat); 335 PETSC_INTERN PetscErrorCode MatSeqAIJCheckInode(Mat); 336 PETSC_INTERN PetscErrorCode MatSeqAIJCheckInode_FactorLU(Mat); 337 338 PETSC_INTERN PetscErrorCode MatAXPYGetPreallocation_SeqAIJ(Mat,Mat,PetscInt*); 339 340 PETSC_INTERN PetscErrorCode MatMatMatMult_Transpose_AIJ_AIJ(Mat,Mat,Mat,MatReuse,PetscReal,Mat*); 341 PETSC_EXTERN PetscErrorCode MatlabEnginePut_SeqAIJ(PetscObject,void*); 342 PETSC_EXTERN PetscErrorCode MatlabEngineGet_SeqAIJ(PetscObject,void*); 343 PETSC_INTERN PetscErrorCode MatConvert_SeqAIJ_SeqSBAIJ(Mat,MatType,MatReuse,Mat*); 344 PETSC_INTERN PetscErrorCode MatConvert_SeqAIJ_SeqBAIJ(Mat,MatType,MatReuse,Mat*); 345 PETSC_INTERN PetscErrorCode MatConvert_SeqAIJ_SeqDense(Mat,MatType,MatReuse,Mat*); 346 PETSC_INTERN PetscErrorCode MatConvert_SeqAIJ_SeqAIJCRL(Mat,MatType,MatReuse,Mat*); 347 PETSC_INTERN PetscErrorCode MatConvert_SeqAIJ_Elemental(Mat,MatType,MatReuse,Mat*); 348 PETSC_INTERN PetscErrorCode MatConvert_AIJ_HYPRE(Mat,MatType,MatReuse,Mat*); 349 PETSC_INTERN PetscErrorCode MatConvert_SeqAIJ_SeqAIJPERM(Mat,MatType,MatReuse,Mat*); 350 PETSC_INTERN PetscErrorCode MatConvert_SeqAIJ_SeqAIJMKL(Mat,MatType,MatReuse,Mat*); 351 PETSC_INTERN PetscErrorCode MatConvert_SeqAIJ_SeqAIJViennaCL(Mat,MatType,MatReuse,Mat*); 352 PETSC_INTERN PetscErrorCode MatReorderForNonzeroDiagonal_SeqAIJ(Mat,PetscReal,IS,IS); 353 PETSC_INTERN PetscErrorCode MatMatMult_SeqDense_SeqAIJ(Mat,Mat,MatReuse,PetscReal,Mat*); 354 PETSC_INTERN PetscErrorCode MatRARt_SeqAIJ_SeqAIJ(Mat,Mat,MatReuse,PetscReal,Mat*); 355 PETSC_EXTERN PetscErrorCode MatCreate_SeqAIJ(Mat); 356 PETSC_INTERN PetscErrorCode MatAssemblyEnd_SeqAIJ(Mat,MatAssemblyType); 357 358 PETSC_INTERN PetscErrorCode MatAXPYGetPreallocation_SeqX_private(PetscInt,const PetscInt*,const PetscInt*,const PetscInt*,const PetscInt*,PetscInt*); 359 PETSC_INTERN PetscErrorCode MatCreateMPIMatConcatenateSeqMat_SeqAIJ(MPI_Comm,Mat,PetscInt,MatReuse,Mat*); 360 PETSC_INTERN PetscErrorCode MatCreateMPIMatConcatenateSeqMat_MPIAIJ(MPI_Comm,Mat,PetscInt,MatReuse,Mat*); 361 362 PETSC_INTERN PetscErrorCode MatSetSeqMat_SeqAIJ(Mat,IS,IS,MatStructure,Mat); 363 PETSC_INTERN PetscErrorCode MatDestroySubMatrix_Private(Mat_SubSppt*); 364 PETSC_INTERN PetscErrorCode MatDestroySubMatrix_SeqAIJ(Mat); 365 PETSC_INTERN PetscErrorCode MatDestroySubMatrix_Dummy(Mat); 366 PETSC_INTERN PetscErrorCode MatCreateSubMatrix_SeqAIJ(Mat,IS,IS,PetscInt,MatReuse,Mat*); 367 368 /* 369 PetscSparseDenseMinusDot - The inner kernel of triangular solves and Gauss-Siedel smoothing. \sum_i xv[i] * r[xi[i]] for CSR storage 370 371 Input Parameters: 372 + nnz - the number of entries 373 . r - the array of vector values 374 . xv - the matrix values for the row 375 - xi - the column indices of the nonzeros in the row 376 377 Output Parameter: 378 . sum - negative the sum of results 379 380 PETSc compile flags: 381 + PETSC_KERNEL_USE_UNROLL_4 - don't use this; it changes nnz and hence is WRONG 382 - PETSC_KERNEL_USE_UNROLL_2 - 383 384 .seealso: PetscSparseDensePlusDot() 385 386 */ 387 #if defined(PETSC_KERNEL_USE_UNROLL_4) 388 #define PetscSparseDenseMinusDot(sum,r,xv,xi,nnz) { \ 389 if (nnz > 0) { \ 390 switch (nnz & 0x3) { \ 391 case 3: sum -= *xv++ *r[*xi++]; \ 392 case 2: sum -= *xv++ *r[*xi++]; \ 393 case 1: sum -= *xv++ *r[*xi++]; \ 394 nnz -= 4;} \ 395 while (nnz > 0) { \ 396 sum -= xv[0] * r[xi[0]] - xv[1] * r[xi[1]] - \ 397 xv[2] * r[xi[2]] - xv[3] * r[xi[3]]; \ 398 xv += 4; xi += 4; nnz -= 4; }}} 399 400 #elif defined(PETSC_KERNEL_USE_UNROLL_2) 401 #define PetscSparseDenseMinusDot(sum,r,xv,xi,nnz) { \ 402 PetscInt __i,__i1,__i2; \ 403 for (__i=0; __i<nnz-1; __i+=2) {__i1 = xi[__i]; __i2=xi[__i+1]; \ 404 sum -= (xv[__i]*r[__i1] + xv[__i+1]*r[__i2]);} \ 405 if (nnz & 0x1) sum -= xv[__i] * r[xi[__i]];} 406 407 #else 408 #define PetscSparseDenseMinusDot(sum,r,xv,xi,nnz) { \ 409 PetscInt __i; \ 410 for (__i=0; __i<nnz; __i++) sum -= xv[__i] * r[xi[__i]];} 411 #endif 412 413 414 415 /* 416 PetscSparseDensePlusDot - The inner kernel of matrix-vector product \sum_i xv[i] * r[xi[i]] for CSR storage 417 418 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 423 424 Output Parameter: 425 . sum - the sum of results 426 427 PETSc compile flags: 428 + PETSC_KERNEL_USE_UNROLL_4 - don't use this; it changes nnz and hence is WRONG 429 - PETSC_KERNEL_USE_UNROLL_2 - 430 431 .seealso: PetscSparseDenseMinusDot() 432 433 */ 434 #if defined(PETSC_KERNEL_USE_UNROLL_4) 435 #define PetscSparseDensePlusDot(sum,r,xv,xi,nnz) { \ 436 if (nnz > 0) { \ 437 switch (nnz & 0x3) { \ 438 case 3: sum += *xv++ *r[*xi++]; \ 439 case 2: sum += *xv++ *r[*xi++]; \ 440 case 1: sum += *xv++ *r[*xi++]; \ 441 nnz -= 4;} \ 442 while (nnz > 0) { \ 443 sum += xv[0] * r[xi[0]] + xv[1] * r[xi[1]] + \ 444 xv[2] * r[xi[2]] + xv[3] * r[xi[3]]; \ 445 xv += 4; xi += 4; nnz -= 4; }}} 446 447 #elif defined(PETSC_KERNEL_USE_UNROLL_2) 448 #define PetscSparseDensePlusDot(sum,r,xv,xi,nnz) { \ 449 PetscInt __i,__i1,__i2; \ 450 for (__i=0; __i<nnz-1; __i+=2) {__i1 = xi[__i]; __i2=xi[__i+1]; \ 451 sum += (xv[__i]*r[__i1] + xv[__i+1]*r[__i2]);} \ 452 if (nnz & 0x1) sum += xv[__i] * r[xi[__i]];} 453 454 #else 455 #define PetscSparseDensePlusDot(sum,r,xv,xi,nnz) { \ 456 PetscInt __i; \ 457 for (__i=0; __i<nnz; __i++) sum += xv[__i] * r[xi[__i]];} 458 #endif 459 460 461 /* 462 PetscSparseDenseMaxDot - The inner kernel of a modified matrix-vector product \max_i xv[i] * r[xi[i]] for CSR storage 463 464 Input Parameters: 465 + nnz - the number of entries 466 . r - the array of vector values 467 . xv - the matrix values for the row 468 - xi - the column indices of the nonzeros in the row 469 470 Output Parameter: 471 . max - the max of results 472 473 .seealso: PetscSparseDensePlusDot(), PetscSparseDenseMinusDot() 474 475 */ 476 #define PetscSparseDenseMaxDot(max,r,xv,xi,nnz) { \ 477 PetscInt __i; \ 478 for (__i=0; __i<nnz; __i++) max = PetscMax(PetscRealPart(max), PetscRealPart(xv[__i] * r[xi[__i]]));} 479 480 /* 481 Add column indices into table for counting the max nonzeros of merged rows 482 */ 483 #define MatRowMergeMax_SeqAIJ(mat,nrows,ta) { \ 484 PetscInt _j,_row,_nz,*_col; \ 485 if (mat) { \ 486 for (_row=0; _row<nrows; _row++) { \ 487 _nz = mat->i[_row+1] - mat->i[_row]; \ 488 for (_j=0; _j<_nz; _j++) { \ 489 _col = _j + mat->j + mat->i[_row]; \ 490 PetscTableAdd(ta,*_col+1,1,INSERT_VALUES); \ 491 } \ 492 } \ 493 } \ 494 } 495 496 /* 497 Add column indices into table for counting the nonzeros of merged rows 498 */ 499 #define MatMergeRows_SeqAIJ(mat,nrows,rows,ta) { \ 500 PetscInt _j,_row,_nz,*_col,_i; \ 501 for (_i=0; _i<nrows; _i++) {\ 502 _row = rows[_i]; \ 503 _nz = mat->i[_row+1] - mat->i[_row]; \ 504 for (_j=0; _j<_nz; _j++) { \ 505 _col = _j + mat->j + mat->i[_row]; \ 506 PetscTableAdd(ta,*_col+1,1,INSERT_VALUES); \ 507 } \ 508 } \ 509 } 510 511 #endif 512