1 #include <../src/mat/impls/aij/seq/aij.h> 2 #include <../src/mat/impls/baij/seq/baij.h> 3 #include <../src/mat/impls/sbaij/seq/sbaij.h> 4 5 PETSC_INTERN PetscErrorCode MatConvert_SeqSBAIJ_SeqAIJ(Mat A, MatType newtype, MatReuse reuse, Mat *newmat) 6 { 7 Mat B; 8 Mat_SeqSBAIJ *a = (Mat_SeqSBAIJ *)A->data; 9 Mat_SeqAIJ *b; 10 PetscInt *ai = a->i, *aj = a->j, m = A->rmap->N, n = A->cmap->n, i, j, k, *bi, *bj, *rowlengths, nz, *rowstart, itmp; 11 PetscInt bs = A->rmap->bs, bs2 = bs * bs, mbs = A->rmap->N / bs, diagcnt = 0; 12 MatScalar *av, *bv; 13 #if defined(PETSC_USE_COMPLEX) 14 const int aconj = A->hermitian == PETSC_BOOL3_TRUE ? 1 : 0; 15 #else 16 const int aconj = 0; 17 #endif 18 19 PetscFunctionBegin; 20 /* compute rowlengths of newmat */ 21 PetscCall(PetscMalloc2(m, &rowlengths, m + 1, &rowstart)); 22 23 for (i = 0; i < mbs; i++) rowlengths[i * bs] = 0; 24 k = 0; 25 for (i = 0; i < mbs; i++) { 26 nz = ai[i + 1] - ai[i]; 27 if (nz) { 28 rowlengths[k] += nz; /* no. of upper triangular blocks */ 29 if (*aj == i) { 30 aj++; 31 diagcnt++; 32 nz--; 33 } /* skip diagonal */ 34 for (j = 0; j < nz; j++) { /* no. of lower triangular blocks */ 35 rowlengths[(*aj) * bs]++; 36 aj++; 37 } 38 } 39 rowlengths[k] *= bs; 40 for (j = 1; j < bs; j++) rowlengths[k + j] = rowlengths[k]; 41 k += bs; 42 } 43 44 if (reuse != MAT_REUSE_MATRIX) { 45 PetscCall(MatCreate(PetscObjectComm((PetscObject)A), &B)); 46 PetscCall(MatSetSizes(B, m, n, m, n)); 47 PetscCall(MatSetType(B, MATSEQAIJ)); 48 PetscCall(MatSeqAIJSetPreallocation(B, 0, rowlengths)); 49 PetscCall(MatSetBlockSize(B, A->rmap->bs)); 50 } else B = *newmat; 51 52 b = (Mat_SeqAIJ *)B->data; 53 bi = b->i; 54 bj = b->j; 55 bv = b->a; 56 57 /* set b->i */ 58 bi[0] = 0; 59 rowstart[0] = 0; 60 for (i = 0; i < mbs; i++) { 61 for (j = 0; j < bs; j++) { 62 b->ilen[i * bs + j] = rowlengths[i * bs]; 63 rowstart[i * bs + j + 1] = rowstart[i * bs + j] + rowlengths[i * bs]; 64 } 65 bi[i + 1] = bi[i] + rowlengths[i * bs] / bs; 66 } 67 PetscCheck(bi[mbs] == 2 * a->nz - diagcnt, PETSC_COMM_SELF, PETSC_ERR_PLIB, "bi[mbs]: %" PetscInt_FMT " != 2*a->nz-diagcnt: %" PetscInt_FMT, bi[mbs], 2 * a->nz - diagcnt); 68 69 /* set b->j and b->a */ 70 aj = a->j; 71 av = a->a; 72 for (i = 0; i < mbs; i++) { 73 nz = ai[i + 1] - ai[i]; 74 /* diagonal block */ 75 if (nz && *aj == i) { 76 nz--; 77 for (j = 0; j < bs; j++) { /* row i*bs+j */ 78 itmp = i * bs + j; 79 for (k = 0; k < bs; k++) { /* col i*bs+k */ 80 *(bj + rowstart[itmp]) = (*aj) * bs + k; 81 *(bv + rowstart[itmp]) = *(av + k * bs + j); 82 rowstart[itmp]++; 83 } 84 } 85 aj++; 86 av += bs2; 87 } 88 89 while (nz--) { 90 /* lower triangular blocks */ 91 for (j = 0; j < bs; j++) { /* row (*aj)*bs+j */ 92 itmp = (*aj) * bs + j; 93 for (k = 0; k < bs; k++) { /* col i*bs+k */ 94 *(bj + rowstart[itmp]) = i * bs + k; 95 *(bv + rowstart[itmp]) = aconj ? PetscConj(*(av + j * bs + k)) : *(av + j * bs + k); 96 rowstart[itmp]++; 97 } 98 } 99 /* upper triangular blocks */ 100 for (j = 0; j < bs; j++) { /* row i*bs+j */ 101 itmp = i * bs + j; 102 for (k = 0; k < bs; k++) { /* col (*aj)*bs+k */ 103 *(bj + rowstart[itmp]) = (*aj) * bs + k; 104 *(bv + rowstart[itmp]) = *(av + k * bs + j); 105 rowstart[itmp]++; 106 } 107 } 108 aj++; 109 av += bs2; 110 } 111 } 112 PetscCall(PetscFree2(rowlengths, rowstart)); 113 PetscCall(MatAssemblyBegin(B, MAT_FINAL_ASSEMBLY)); 114 PetscCall(MatAssemblyEnd(B, MAT_FINAL_ASSEMBLY)); 115 116 if (reuse == MAT_INPLACE_MATRIX) { 117 PetscCall(MatHeaderReplace(A, &B)); 118 } else { 119 *newmat = B; 120 } 121 PetscFunctionReturn(PETSC_SUCCESS); 122 } 123 124 #include <../src/mat/impls/aij/seq/aij.h> 125 126 PETSC_INTERN PetscErrorCode MatConvert_SeqAIJ_SeqSBAIJ_Preallocate(Mat A, PetscInt **nnz) 127 { 128 Mat_SeqAIJ *Aa = (Mat_SeqAIJ *)A->data; 129 PetscInt m, n, bs = A->rmap->bs; 130 const PetscInt *ai = Aa->i, *aj = Aa->j; 131 132 PetscFunctionBegin; 133 PetscCall(MatGetSize(A, &m, &n)); 134 135 if (bs == 1) { 136 const PetscInt *adiag = Aa->diag; 137 138 PetscCall(PetscMalloc1(m, nnz)); 139 for (PetscInt i = 0; i < m; i++) { 140 if (adiag[i] == ai[i + 1]) { 141 (*nnz)[i] = 0; 142 for (PetscInt j = ai[i]; j < ai[i + 1]; j++) (*nnz)[i] += (aj[j] > i); 143 } else (*nnz)[i] = ai[i + 1] - adiag[i]; 144 } 145 } else { 146 PetscHSetIJ ht; 147 PetscHashIJKey key; 148 PetscBool missing; 149 150 PetscCall(PetscHSetIJCreate(&ht)); 151 PetscCall(PetscCalloc1(m / bs, nnz)); 152 for (PetscInt i = 0; i < m; i++) { 153 key.i = i / bs; 154 for (PetscInt k = ai[i]; k < ai[i + 1]; k++) { 155 key.j = aj[k] / bs; 156 if (key.j < key.i) continue; 157 PetscCall(PetscHSetIJQueryAdd(ht, key, &missing)); 158 if (missing) (*nnz)[key.i]++; 159 } 160 } 161 PetscCall(PetscHSetIJDestroy(&ht)); 162 } 163 PetscFunctionReturn(PETSC_SUCCESS); 164 } 165 166 PETSC_INTERN PetscErrorCode MatConvert_SeqAIJ_SeqSBAIJ(Mat A, MatType newtype, MatReuse reuse, Mat *newmat) 167 { 168 Mat B; 169 Mat_SeqAIJ *a = (Mat_SeqAIJ *)A->data; 170 Mat_SeqSBAIJ *b; 171 PetscInt *ai = a->i, *aj, m = A->rmap->N, n = A->cmap->N, i, j, *bi, *bj, *rowlengths, bs = A->rmap->bs; 172 MatScalar *av, *bv; 173 PetscBool miss = PETSC_FALSE; 174 175 PetscFunctionBegin; 176 #if !defined(PETSC_USE_COMPLEX) 177 PetscCheck(A->symmetric == PETSC_BOOL3_TRUE, PetscObjectComm((PetscObject)A), PETSC_ERR_USER, "Matrix must be symmetric. Call MatSetOption(mat,MAT_SYMMETRIC,PETSC_TRUE)"); 178 #else 179 PetscCheck(A->symmetric == PETSC_BOOL3_TRUE || A->hermitian == PETSC_BOOL3_TRUE, PetscObjectComm((PetscObject)A), PETSC_ERR_USER, "Matrix must be either symmetric or hermitian. Call MatSetOption(mat,MAT_SYMMETRIC,PETSC_TRUE) and/or MatSetOption(mat,MAT_HERMITIAN,PETSC_TRUE)"); 180 #endif 181 PetscCheck(n == m, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Matrix must be square"); 182 183 if (bs == 1) { 184 PetscCall(PetscMalloc1(m, &rowlengths)); 185 for (i = 0; i < m; i++) { 186 if (a->diag[i] == ai[i + 1]) { /* missing diagonal */ 187 rowlengths[i] = (ai[i + 1] - ai[i]) + 1; /* allocate some extra space */ 188 miss = PETSC_TRUE; 189 } else { 190 rowlengths[i] = (ai[i + 1] - a->diag[i]); 191 } 192 } 193 } else PetscCall(MatConvert_SeqAIJ_SeqSBAIJ_Preallocate(A, &rowlengths)); 194 if (reuse != MAT_REUSE_MATRIX) { 195 PetscCall(MatCreate(PetscObjectComm((PetscObject)A), &B)); 196 PetscCall(MatSetSizes(B, m, n, m, n)); 197 PetscCall(MatSetType(B, MATSEQSBAIJ)); 198 PetscCall(MatSeqSBAIJSetPreallocation(B, bs, 0, rowlengths)); 199 } else B = *newmat; 200 201 if (bs == 1 && !miss) { 202 b = (Mat_SeqSBAIJ *)B->data; 203 bi = b->i; 204 bj = b->j; 205 bv = b->a; 206 207 bi[0] = 0; 208 for (i = 0; i < m; i++) { 209 aj = a->j + a->diag[i]; 210 av = a->a + a->diag[i]; 211 for (j = 0; j < rowlengths[i]; j++) { 212 *bj = *aj; 213 bj++; 214 aj++; 215 *bv = *av; 216 bv++; 217 av++; 218 } 219 bi[i + 1] = bi[i] + rowlengths[i]; 220 b->ilen[i] = rowlengths[i]; 221 } 222 PetscCall(MatAssemblyBegin(B, MAT_FINAL_ASSEMBLY)); 223 PetscCall(MatAssemblyEnd(B, MAT_FINAL_ASSEMBLY)); 224 } else { 225 PetscCall(MatSetOption(B, MAT_IGNORE_LOWER_TRIANGULAR, PETSC_TRUE)); 226 /* reuse may not be equal to MAT_REUSE_MATRIX, but the basic converter will reallocate or replace newmat if this value is not used */ 227 /* if reuse is equal to MAT_INITIAL_MATRIX, it has been appropriately preallocated before */ 228 /* MAT_INPLACE_MATRIX, it will be replaced with MatHeaderReplace below */ 229 PetscCall(MatConvert_Basic(A, newtype, MAT_REUSE_MATRIX, &B)); 230 } 231 PetscCall(PetscFree(rowlengths)); 232 if (reuse == MAT_INPLACE_MATRIX) PetscCall(MatHeaderReplace(A, &B)); 233 else *newmat = B; 234 PetscFunctionReturn(PETSC_SUCCESS); 235 } 236 237 PETSC_INTERN PetscErrorCode MatConvert_SeqSBAIJ_SeqBAIJ(Mat A, MatType newtype, MatReuse reuse, Mat *newmat) 238 { 239 Mat B; 240 Mat_SeqSBAIJ *a = (Mat_SeqSBAIJ *)A->data; 241 Mat_SeqBAIJ *b; 242 PetscInt *ai = a->i, *aj = a->j, m = A->rmap->N, n = A->cmap->n, i, k, *bi, *bj, *browlengths, nz, *browstart, itmp; 243 PetscInt bs = A->rmap->bs, bs2 = bs * bs, mbs = m / bs, col, row; 244 MatScalar *av, *bv; 245 #if defined(PETSC_USE_COMPLEX) 246 const int aconj = A->hermitian == PETSC_BOOL3_TRUE ? 1 : 0; 247 #else 248 const int aconj = 0; 249 #endif 250 251 PetscFunctionBegin; 252 /* compute browlengths of newmat */ 253 PetscCall(PetscMalloc2(mbs, &browlengths, mbs, &browstart)); 254 for (i = 0; i < mbs; i++) browlengths[i] = 0; 255 for (i = 0; i < mbs; i++) { 256 nz = ai[i + 1] - ai[i]; 257 aj++; /* skip diagonal */ 258 for (k = 1; k < nz; k++) { /* no. of lower triangular blocks */ 259 browlengths[*aj]++; 260 aj++; 261 } 262 browlengths[i] += nz; /* no. of upper triangular blocks */ 263 } 264 265 if (reuse != MAT_REUSE_MATRIX) { 266 PetscCall(MatCreate(PetscObjectComm((PetscObject)A), &B)); 267 PetscCall(MatSetSizes(B, m, n, m, n)); 268 PetscCall(MatSetType(B, MATSEQBAIJ)); 269 PetscCall(MatSeqBAIJSetPreallocation(B, bs, 0, browlengths)); 270 } else B = *newmat; 271 272 b = (Mat_SeqBAIJ *)B->data; 273 bi = b->i; 274 bj = b->j; 275 bv = b->a; 276 277 /* set b->i */ 278 bi[0] = 0; 279 for (i = 0; i < mbs; i++) { 280 b->ilen[i] = browlengths[i]; 281 bi[i + 1] = bi[i] + browlengths[i]; 282 browstart[i] = bi[i]; 283 } 284 PetscCheck(bi[mbs] == 2 * a->nz - mbs, PETSC_COMM_SELF, PETSC_ERR_PLIB, "bi[mbs]: %" PetscInt_FMT " != 2*a->nz - mbs: %" PetscInt_FMT, bi[mbs], 2 * a->nz - mbs); 285 286 /* set b->j and b->a */ 287 aj = a->j; 288 av = a->a; 289 for (i = 0; i < mbs; i++) { 290 /* diagonal block */ 291 *(bj + browstart[i]) = *aj; 292 aj++; 293 294 itmp = bs2 * browstart[i]; 295 for (k = 0; k < bs2; k++) { 296 *(bv + itmp + k) = *av; 297 av++; 298 } 299 browstart[i]++; 300 301 nz = ai[i + 1] - ai[i] - 1; 302 while (nz--) { 303 /* lower triangular blocks - transpose blocks of A */ 304 *(bj + browstart[*aj]) = i; /* block col index */ 305 306 itmp = bs2 * browstart[*aj]; /* row index */ 307 for (col = 0; col < bs; col++) { 308 k = col; 309 for (row = 0; row < bs; row++) { 310 bv[itmp + col * bs + row] = aconj ? PetscConj(av[k]) : av[k]; 311 k += bs; 312 } 313 } 314 browstart[*aj]++; 315 316 /* upper triangular blocks */ 317 *(bj + browstart[i]) = *aj; 318 aj++; 319 320 itmp = bs2 * browstart[i]; 321 for (k = 0; k < bs2; k++) bv[itmp + k] = av[k]; 322 av += bs2; 323 browstart[i]++; 324 } 325 } 326 PetscCall(PetscFree2(browlengths, browstart)); 327 PetscCall(MatAssemblyBegin(B, MAT_FINAL_ASSEMBLY)); 328 PetscCall(MatAssemblyEnd(B, MAT_FINAL_ASSEMBLY)); 329 330 if (reuse == MAT_INPLACE_MATRIX) PetscCall(MatHeaderReplace(A, &B)); 331 else *newmat = B; 332 PetscFunctionReturn(PETSC_SUCCESS); 333 } 334 335 PETSC_INTERN PetscErrorCode MatConvert_SeqBAIJ_SeqSBAIJ(Mat A, MatType newtype, MatReuse reuse, Mat *newmat) 336 { 337 Mat B; 338 Mat_SeqBAIJ *a = (Mat_SeqBAIJ *)A->data; 339 Mat_SeqSBAIJ *b; 340 PetscInt *ai = a->i, *aj, m = A->rmap->N, n = A->cmap->n, i, j, k, *bi, *bj, *browlengths; 341 PetscInt bs = A->rmap->bs, bs2 = bs * bs, mbs = m / bs, dd; 342 MatScalar *av, *bv; 343 PetscBool flg; 344 345 PetscFunctionBegin; 346 PetscCheck(A->symmetric, PetscObjectComm((PetscObject)A), PETSC_ERR_USER, "Matrix must be symmetric. Call MatSetOption(mat,MAT_SYMMETRIC,PETSC_TRUE)"); 347 PetscCheck(n == m, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Matrix must be square"); 348 PetscCall(MatMissingDiagonal_SeqBAIJ(A, &flg, &dd)); /* check for missing diagonals, then mark diag */ 349 PetscCheck(!flg, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONGSTATE, "Matrix is missing diagonal %" PetscInt_FMT, dd); 350 351 PetscCall(PetscMalloc1(mbs, &browlengths)); 352 for (i = 0; i < mbs; i++) browlengths[i] = ai[i + 1] - a->diag[i]; 353 354 if (reuse != MAT_REUSE_MATRIX) { 355 PetscCall(MatCreate(PetscObjectComm((PetscObject)A), &B)); 356 PetscCall(MatSetSizes(B, m, n, m, n)); 357 PetscCall(MatSetType(B, MATSEQSBAIJ)); 358 PetscCall(MatSeqSBAIJSetPreallocation(B, bs, 0, browlengths)); 359 } else B = *newmat; 360 361 b = (Mat_SeqSBAIJ *)B->data; 362 bi = b->i; 363 bj = b->j; 364 bv = b->a; 365 366 bi[0] = 0; 367 for (i = 0; i < mbs; i++) { 368 aj = a->j + a->diag[i]; 369 av = a->a + (a->diag[i]) * bs2; 370 for (j = 0; j < browlengths[i]; j++) { 371 *bj = *aj; 372 bj++; 373 aj++; 374 for (k = 0; k < bs2; k++) { 375 *bv = *av; 376 bv++; 377 av++; 378 } 379 } 380 bi[i + 1] = bi[i] + browlengths[i]; 381 b->ilen[i] = browlengths[i]; 382 } 383 PetscCall(PetscFree(browlengths)); 384 PetscCall(MatAssemblyBegin(B, MAT_FINAL_ASSEMBLY)); 385 PetscCall(MatAssemblyEnd(B, MAT_FINAL_ASSEMBLY)); 386 387 if (reuse == MAT_INPLACE_MATRIX) PetscCall(MatHeaderReplace(A, &B)); 388 else *newmat = B; 389 PetscFunctionReturn(PETSC_SUCCESS); 390 } 391